/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 62 ms] (4) CpxRelTRS (5) CpxTrsToCdtProof [UPPER BOUND(ID), 8482 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), 0 ms] (12) CdtProblem (13) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (14) CdtProblem (15) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 25 ms] (16) CdtProblem (17) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 107 ms] (18) CdtProblem (19) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 65 ms] (20) CdtProblem (21) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 27 ms] (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(0(x1)) -> 1(2(1(x1))) 0(2(x1)) -> 1(1(1(x1))) 2(0(x1)) -> 1(2(1(x1))) 2(2(2(x1))) -> 1(1(2(2(1(2(1(x1))))))) 2(1(0(0(x1)))) -> 0(1(2(1(1(2(1(x1))))))) 0(0(1(0(0(x1))))) -> 1(2(0(1(1(1(x1)))))) 1(1(2(2(0(x1))))) -> 1(1(1(2(2(1(x1)))))) 0(0(0(0(0(1(x1)))))) -> 1(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(x1))))))))))))))))))))) 0(0(2(2(0(0(x1)))))) -> 1(2(2(0(1(2(1(1(1(x1))))))))) 1(0(2(2(2(1(x1)))))) -> 1(1(1(0(1(1(0(1(x1)))))))) 2(0(0(0(0(1(0(x1))))))) -> 1(0(1(0(1(2(0(1(1(2(1(1(0(x1))))))))))))) 2(2(0(0(1(2(0(x1))))))) -> 0(2(1(0(0(1(2(1(1(2(0(x1))))))))))) 2(2(2(2(0(1(2(x1))))))) -> 2(2(2(0(2(1(2(x1))))))) 0(1(0(1(1(2(1(0(x1)))))))) -> 1(1(2(0(1(2(1(1(2(1(x1)))))))))) 1(2(2(2(2(2(1(0(x1)))))))) -> 1(2(1(2(2(2(0(2(x1)))))))) 0(0(0(2(2(2(1(0(0(x1))))))))) -> 1(1(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(x1))))))))))))))))))) 0(1(0(0(2(0(2(0(2(x1))))))))) -> 1(0(0(1(1(1(1(2(2(0(0(2(x1)))))))))))) 1(1(2(0(1(1(0(0(2(x1))))))))) -> 0(1(1(2(0(1(2(1(1(2(1(2(0(1(x1)))))))))))))) 2(0(0(2(1(2(2(2(1(x1))))))))) -> 2(1(2(2(1(1(2(0(1(2(1(0(0(1(x1)))))))))))))) 2(1(0(1(2(0(1(2(0(x1))))))))) -> 1(2(1(2(1(2(0(2(1(1(0(x1))))))))))) 0(0(0(2(2(0(0(2(0(0(x1)))))))))) -> 1(1(2(2(0(0(0(0(1(1(2(x1))))))))))) 0(1(1(0(2(2(2(1(0(0(x1)))))))))) -> 0(2(1(1(2(2(0(1(1(2(1(2(x1)))))))))))) 1(0(0(1(2(1(0(2(2(2(x1)))))))))) -> 1(2(1(2(2(1(0(2(1(2(1(1(x1)))))))))))) 1(2(0(2(0(2(0(0(2(0(x1)))))))))) -> 0(0(1(1(0(0(2(0(1(1(1(x1))))))))))) 2(1(2(0(0(0(1(2(2(0(x1)))))))))) -> 1(2(1(1(0(2(1(2(0(1(0(1(1(x1))))))))))))) 0(1(2(1(0(0(1(0(2(1(1(x1))))))))))) -> 1(1(0(0(0(1(2(0(1(2(1(x1))))))))))) 0(2(1(0(0(1(0(1(0(2(0(x1))))))))))) -> 1(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(x1))))))))))))))))) 1(2(1(0(0(0(2(2(2(2(0(x1))))))))))) -> 1(1(2(0(0(2(2(1(2(1(0(0(2(1(x1)))))))))))))) 1(2(2(0(0(0(0(0(1(0(2(x1))))))))))) -> 1(0(1(2(0(0(1(1(2(1(1(2(x1)))))))))))) 2(0(2(2(2(2(1(2(0(1(1(x1))))))))))) -> 2(1(2(0(2(2(2(0(2(1(1(x1))))))))))) 2(1(0(2(0(0(1(2(2(1(2(x1))))))))))) -> 0(0(1(1(1(1(0(1(0(1(1(0(x1)))))))))))) 2(2(2(2(1(1(1(2(2(0(0(x1))))))))))) -> 1(1(1(0(1(0(0(1(1(2(0(2(1(x1))))))))))))) 0(0(2(2(2(1(0(1(0(2(0(2(x1)))))))))))) -> 1(1(1(2(0(0(0(1(0(2(0(2(2(1(x1)))))))))))))) 1(0(0(1(1(0(0(1(1(0(2(0(x1)))))))))))) -> 1(1(1(2(0(0(0(1(1(0(0(0(x1)))))))))))) 1(0(2(0(0(1(0(2(0(0(1(2(x1)))))))))))) -> 0(0(0(1(2(1(1(2(0(2(0(0(x1)))))))))))) 2(0(0(0(2(2(2(0(1(2(2(0(x1)))))))))))) -> 2(0(2(0(1(2(1(0(0(0(0(1(0(x1))))))))))))) 2(2(0(0(0(1(1(2(2(0(2(1(2(x1))))))))))))) -> 1(0(1(0(1(1(2(1(1(1(1(1(0(0(2(0(2(0(x1)))))))))))))))))) 0(1(1(1(1(0(2(2(1(1(1(0(2(2(x1)))))))))))))) -> 1(2(1(0(1(1(1(2(2(1(2(0(0(1(x1)))))))))))))) 0(1(2(2(1(2(0(0(0(2(2(1(1(0(x1)))))))))))))) -> 1(2(0(0(0(2(0(1(2(0(1(2(1(2(x1)))))))))))))) 0(0(0(2(1(2(0(1(2(1(2(2(2(1(0(x1))))))))))))))) -> 1(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(x1)))))))))))))))) 0(0(1(0(0(1(2(0(1(2(1(2(2(0(0(x1))))))))))))))) -> 1(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(x1)))))))))))))))) 2(0(0(0(2(1(0(0(1(0(2(1(0(0(2(x1))))))))))))))) -> 1(1(0(2(1(0(2(1(1(2(1(1(0(1(1(1(1(1(1(0(1(1(x1)))))))))))))))))))))) 2(0(1(0(2(2(0(1(1(2(0(2(2(2(0(x1))))))))))))))) -> 1(1(1(1(1(1(0(1(2(1(2(2(1(1(1(2(2(x1))))))))))))))))) 0(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(x1)))))))))))))))) -> 1(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(x1)))))))))))))))))) 1(0(2(2(1(0(0(1(1(1(0(1(1(2(2(0(x1)))))))))))))))) -> 1(2(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(x1))))))))))))))))))))) 2(2(0(2(2(1(0(1(0(2(2(2(2(1(2(0(x1)))))))))))))))) -> 1(0(1(0(1(0(2(0(1(1(0(2(0(0(0(1(1(x1))))))))))))))))) 2(2(0(2(2(2(0(0(0(0(1(2(2(0(2(0(x1)))))))))))))))) -> 0(2(1(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(x1))))))))))))))))))) 0(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(x1))))))))))))))))) -> 0(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(x1))))))))))))))))))) 1(1(0(0(0(0(0(0(0(2(2(2(2(1(0(0(1(x1))))))))))))))))) -> 1(2(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(x1))))))))))))))))))))) 1(1(0(0(1(2(0(2(0(0(1(2(0(2(2(2(2(x1))))))))))))))))) -> 1(2(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(x1)))))))))))))))))) 2(0(0(2(2(2(2(1(2(2(1(0(2(2(0(1(0(x1))))))))))))))))) -> 2(2(2(0(1(1(1(1(1(0(1(1(1(2(0(1(2(1(1(1(1(2(1(2(x1)))))))))))))))))))))))) 2(0(1(1(1(1(0(2(0(1(0(1(1(1(2(2(1(x1))))))))))))))))) -> 1(2(1(0(1(1(2(0(2(1(1(0(0(1(1(2(1(x1))))))))))))))))) 0(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(x1)))))))))))))))))) -> 1(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(x1)))))))))))))))))))))))) 0(1(0(0(1(1(0(0(0(1(2(1(2(2(1(0(0(2(x1)))))))))))))))))) -> 0(1(2(1(1(1(1(2(2(1(0(0(1(1(0(1(1(2(0(1(1(1(1(x1))))))))))))))))))))))) 2(0(0(0(2(0(0(0(1(0(0(2(2(0(1(2(1(0(x1)))))))))))))))))) -> 0(2(2(1(1(0(1(0(1(0(2(1(1(2(1(2(0(0(0(0(1(1(1(x1))))))))))))))))))))))) 2(2(0(1(1(0(0(0(2(0(1(0(1(0(1(0(1(2(x1)))))))))))))))))) -> 2(2(0(2(0(1(1(2(0(1(0(0(0(1(1(2(1(2(1(1(x1)))))))))))))))))))) 2(2(2(2(2(1(0(1(2(2(2(2(1(0(1(0(0(0(x1)))))))))))))))))) -> 0(1(2(1(1(1(2(1(0(0(0(1(1(0(1(1(2(2(2(2(2(2(1(0(0(x1))))))))))))))))))))))))) 0(2(0(0(2(0(2(0(0(2(1(0(0(0(0(0(2(1(2(x1))))))))))))))))))) -> 1(1(0(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(x1)))))))))))))))))))) 2(0(1(0(2(0(0(0(2(0(2(2(0(1(0(0(1(0(2(x1))))))))))))))))))) -> 0(1(1(0(1(2(1(0(0(0(1(1(0(1(2(1(1(0(2(1(2(0(0(2(1(0(0(2(x1)))))))))))))))))))))))))))) 2(1(0(0(0(2(2(0(1(2(2(0(2(2(2(0(0(0(2(x1))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(2(2(1(2(1(0(2(0(0(1(0(1(x1))))))))))))))))))))) 0(0(2(0(1(0(1(1(0(2(0(2(0(0(1(0(0(1(1(0(x1)))))))))))))))))))) -> 0(0(2(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(x1))))))))))))))))))))))))))))) 0(2(2(1(0(0(0(1(1(0(1(0(2(2(2(0(1(2(0(2(x1)))))))))))))))))))) -> 0(2(2(0(1(1(2(0(2(2(1(1(1(0(2(1(0(2(1(1(0(x1))))))))))))))))))))) 1(2(2(0(0(1(1(2(2(0(0(2(1(1(0(2(0(1(2(2(x1)))))))))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(x1)))))))))))))))))))))))))) 2(1(2(2(2(2(0(0(1(0(2(2(1(2(1(0(2(1(0(0(x1)))))))))))))))))))) -> 2(1(0(0(2(0(1(1(2(0(1(2(1(1(1(2(1(2(1(0(1(1(1(1(2(1(x1)))))))))))))))))))))))))) 0(0(0(2(2(1(1(0(2(1(2(2(0(1(1(0(0(1(0(0(2(x1))))))))))))))))))))) -> 0(0(2(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(1(0(0(0(0(2(2(2(1(1(0(2(0(0(2(1(0(x1))))))))))))))))))))) -> 1(2(0(1(0(0(1(0(0(1(2(2(0(0(0(2(2(2(0(0(0(x1))))))))))))))))))))) 0(2(0(0(2(2(1(1(1(0(2(2(0(0(0(2(2(1(0(2(0(x1))))))))))))))))))))) -> 0(1(0(0(2(0(1(2(0(2(2(1(1(2(2(1(1(2(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))) 1(0(0(0(1(1(2(2(0(2(1(1(1(0(0(0(2(0(0(1(1(x1))))))))))))))))))))) -> 1(1(2(1(1(2(1(2(1(1(2(1(0(0(0(2(0(2(1(2(1(0(1(0(2(1(2(0(1(x1))))))))))))))))))))))))))))) 2(0(2(2(0(0(2(0(0(2(1(2(2(2(1(0(2(0(2(0(0(x1))))))))))))))))))))) -> 2(1(2(2(2(0(0(2(2(1(2(0(0(2(2(2(0(0(0(0(0(x1))))))))))))))))))))) 2(1(2(0(0(2(1(0(2(2(2(0(2(1(2(2(1(0(0(2(1(x1))))))))))))))))))))) -> 1(2(0(2(2(1(0(1(0(0(1(1(2(0(1(0(2(0(2(1(2(0(1(x1))))))))))))))))))))))) 2(2(2(1(0(0(0(0(1(0(0(2(2(1(2(1(2(0(2(2(0(x1))))))))))))))))))))) -> 1(2(0(0(1(2(0(2(1(1(0(1(2(2(0(0(1(2(1(0(0(2(2(1(x1)))))))))))))))))))))))) 0(2(2(0(2(0(0(2(1(1(1(0(0(0(2(0(0(1(2(0(2(0(x1)))))))))))))))))))))) -> 1(1(2(0(0(2(1(0(2(0(1(1(2(0(0(2(2(2(1(1(0(2(1(1(1(2(x1)))))))))))))))))))))))))) 1(2(0(2(0(1(1(0(0(0(0(1(1(1(2(2(2(2(2(2(0(2(x1)))))))))))))))))))))) -> 1(0(1(2(1(2(2(1(2(2(1(0(2(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))) 2(0(1(1(0(2(1(0(2(1(2(1(1(0(0(0(2(1(1(1(1(1(x1)))))))))))))))))))))) -> 2(0(0(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(x1)))))))))))))))))))))) 2(0(2(0(2(0(1(1(0(0(0(2(2(0(0(2(1(1(0(2(1(2(x1)))))))))))))))))))))) -> 0(1(0(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(x1))))))))))))))))))))))))) 2(1(1(1(0(2(2(1(2(1(0(2(2(0(0(0(1(0(2(0(0(2(x1)))))))))))))))))))))) -> 2(0(1(0(1(0(1(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(x1)))))))))))))))))))))))))))) 2(2(2(1(2(2(1(1(0(0(1(1(0(0(2(1(1(0(2(2(1(0(x1)))))))))))))))))))))) -> 1(0(2(1(2(1(2(0(0(1(2(1(2(2(2(1(1(0(0(2(1(0(x1)))))))))))))))))))))) 0(1(2(1(0(2(2(0(0(0(1(1(2(0(2(0(1(1(0(2(1(2(2(x1))))))))))))))))))))))) -> 1(1(1(1(1(2(2(2(0(1(1(0(2(0(2(1(2(0(1(1(1(2(0(1(2(x1))))))))))))))))))))))))) 1(2(0(2(2(0(0(1(2(2(2(2(2(2(1(0(0(2(2(2(0(1(0(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(0(1(1(1(2(1(1(1(2(1(1(1(2(2(2(0(2(2(1(0(x1)))))))))))))))))))))))))))) 2(0(2(2(2(0(0(2(0(2(0(0(1(1(1(2(1(2(2(0(1(1(1(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(1(1(0(2(2(0(1(1(0(0(1(1(2(0(1(1(0(1(x1))))))))))))))))))))))))) 2(1(0(0(1(1(1(1(0(1(2(2(0(2(2(1(0(0(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(1(0(1(2(0(0(1(1(2(1(0(0(1(2(2(0(1(2(0(2(2(0(0(1(x1))))))))))))))))))))))))) 2(2(1(1(1(0(1(1(2(0(2(0(0(0(2(2(2(0(2(2(1(0(2(x1))))))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(1(1(2(1(2(1(0(0(0(1(2(2(0(2(1(x1)))))))))))))))))))))))))))) 0(0(1(2(0(1(1(1(0(2(1(0(0(2(2(2(0(0(0(0(1(2(1(1(x1)))))))))))))))))))))))) -> 1(2(1(0(0(0(0(0(0(1(0(2(1(1(2(2(1(2(0(0(0(2(1(1(x1)))))))))))))))))))))))) 0(2(0(1(2(1(2(2(2(0(2(1(2(2(2(0(2(1(0(2(2(0(0(2(x1)))))))))))))))))))))))) -> 0(1(2(1(0(0(1(1(2(1(0(2(0(2(2(2(2(2(1(1(2(2(0(1(2(0(0(0(2(x1))))))))))))))))))))))))))))) 0(2(1(2(2(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(2(1(1(0(x1)))))))))))))))))))))))) -> 0(2(0(2(1(0(1(2(2(1(0(1(2(2(0(1(0(2(0(2(0(1(2(0(x1)))))))))))))))))))))))) 1(0(0(2(1(1(2(1(2(2(1(0(0(2(0(1(0(1(0(2(1(1(1(0(x1)))))))))))))))))))))))) -> 0(1(1(0(2(0(2(2(1(2(1(1(0(1(2(1(2(1(1(0(1(1(1(0(1(0(1(x1))))))))))))))))))))))))))) 1(1(1(0(2(1(1(2(2(0(1(0(0(2(1(2(0(1(1(0(0(1(2(0(x1)))))))))))))))))))))))) -> 1(2(2(2(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(x1)))))))))))))))))))))))))) 2(0(2(2(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(2(0(2(1(0(x1)))))))))))))))))))))))) -> 2(2(1(2(1(0(1(1(2(1(2(0(0(0(1(0(0(1(2(1(2(2(2(2(1(2(1(2(x1)))))))))))))))))))))))))))) 2(1(1(2(2(0(2(0(1(1(2(2(2(0(1(2(2(0(0(0(2(2(1(0(x1)))))))))))))))))))))))) -> 1(2(0(0(1(2(0(0(1(0(2(2(1(0(1(1(1(1(0(1(2(2(0(0(2(x1))))))))))))))))))))))))) 0(0(0(2(0(2(1(2(0(1(1(0(2(0(1(0(0(0(2(2(0(1(2(2(0(x1))))))))))))))))))))))))) -> 0(0(0(0(0(1(1(0(2(1(1(2(0(2(1(2(0(2(2(0(0(2(2(0(0(x1))))))))))))))))))))))))) 0(0(2(0(0(2(1(2(1(2(2(2(2(1(0(1(2(1(1(0(1(0(0(0(0(x1))))))))))))))))))))))))) -> 0(2(2(2(1(1(1(1(1(1(1(1(0(1(0(1(2(0(1(0(1(0(2(1(1(1(1(1(2(0(x1)))))))))))))))))))))))))))))) 0(2(1(0(0(0(2(2(1(1(2(0(0(0(2(1(1(1(2(1(2(2(1(0(2(x1))))))))))))))))))))))))) -> 1(2(1(1(0(2(1(1(1(1(0(0(2(1(0(1(2(1(2(0(0(1(1(2(2(1(0(0(x1)))))))))))))))))))))))))))) 1(0(1(0(0(0(2(1(0(0(1(2(0(0(0(0(2(2(2(2(2(1(2(1(1(x1))))))))))))))))))))))))) -> 1(2(1(1(0(0(1(1(2(1(1(1(0(1(0(0(0(0(2(2(1(1(0(2(0(2(1(1(1(x1))))))))))))))))))))))))))))) 2(0(1(1(2(2(0(0(0(2(0(2(0(0(1(1(1(2(2(0(0(2(1(0(2(x1))))))))))))))))))))))))) -> 1(0(2(1(0(0(1(0(2(1(2(1(2(0(1(2(0(0(1(1(0(0(1(0(1(0(x1)))))))))))))))))))))))))) 2(0(2(1(0(2(0(1(1(1(0(2(0(1(1(2(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))))))) -> 1(1(1(1(0(2(0(1(0(1(1(0(2(0(0(0(1(2(0(1(0(2(2(0(1(1(x1)))))))))))))))))))))))))) 0(0(0(2(1(2(2(2(1(0(1(2(0(2(2(1(2(0(1(1(1(1(0(0(0(1(x1)))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(0(1(2(1(1(2(0(2(2(0(1(0(1(0(1(1(2(2(2(1(x1)))))))))))))))))))))))))))) 0(1(0(1(1(0(2(1(1(2(1(0(1(1(0(0(2(2(0(2(2(2(0(2(0(2(x1)))))))))))))))))))))))))) -> 0(1(0(1(2(0(2(0(1(0(0(0(2(0(2(0(1(2(1(1(2(1(2(2(2(1(x1)))))))))))))))))))))))))) 2(0(0(2(2(0(0(1(2(2(0(2(2(1(1(1(0(1(1(2(1(2(2(1(0(0(x1)))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(0(0(2(0(1(2(1(1(2(2(2(2(0(1(2(0(1(0(2(x1)))))))))))))))))))))))))) 2(0(2(1(1(2(0(0(2(0(0(0(0(2(2(2(0(2(0(2(0(0(2(0(1(2(x1)))))))))))))))))))))))))) -> 2(0(1(1(0(2(1(0(1(2(2(2(0(0(0(2(1(1(1(1(1(0(1(0(0(2(0(0(x1)))))))))))))))))))))))))))) 2(2(0(1(2(1(1(0(0(0(0(2(2(2(2(2(0(0(0(2(0(1(2(0(1(0(x1)))))))))))))))))))))))))) -> 0(1(1(2(1(2(0(1(1(1(1(2(2(1(1(1(1(1(2(0(0(2(2(2(0(2(1(2(2(x1))))))))))))))))))))))))))))) 2(2(2(1(0(2(0(0(1(0(2(2(2(0(0(0(1(0(1(0(2(0(2(1(0(0(x1)))))))))))))))))))))))))) -> 0(0(0(0(0(2(1(0(0(0(2(1(1(0(1(2(0(0(0(0(2(2(1(1(2(1(2(x1))))))))))))))))))))))))))) 2(2(2(1(2(0(1(2(1(0(0(1(0(1(0(2(1(1(0(0(0(2(2(0(0(0(x1)))))))))))))))))))))))))) -> 0(1(1(1(1(1(1(1(0(1(1(2(0(1(0(2(0(0(1(2(0(0(1(0(1(0(1(x1))))))))))))))))))))))))))) 0(2(1(0(1(2(2(2(1(0(1(2(1(1(0(0(0(0(1(0(0(2(1(2(1(0(2(x1))))))))))))))))))))))))))) -> 1(1(2(1(2(2(1(1(0(1(0(2(0(1(1(1(1(0(0(2(1(1(0(0(2(2(1(0(0(x1))))))))))))))))))))))))))))) 0(2(2(1(2(1(0(1(1(0(0(0(1(2(1(0(2(2(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))))))))))) -> 0(2(1(2(1(0(1(1(1(2(2(0(2(2(2(0(1(2(2(2(2(0(1(2(1(1(1(1(2(1(x1)))))))))))))))))))))))))))))) 1(1(2(0(1(1(0(0(0(2(0(2(2(2(2(0(1(0(0(0(0(0(1(2(2(0(2(0(x1)))))))))))))))))))))))))))) -> 0(0(1(2(1(2(1(1(0(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(x1))))))))))))))))))))))))))))) 1(1(2(2(0(2(0(1(1(1(0(0(2(0(2(0(2(1(0(2(1(2(2(0(0(1(0(0(x1)))))))))))))))))))))))))))) -> 1(2(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(x1)))))))))))))))))))))))))))))) 2(2(0(1(1(2(1(1(0(0(0(2(1(0(0(2(2(0(2(2(2(1(1(2(2(2(1(0(x1)))))))))))))))))))))))))))) -> 1(1(0(1(0(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(x1))))))))))))))))))))))))))))) 2(2(2(2(2(0(0(2(2(2(1(1(0(1(2(1(0(2(0(0(2(1(0(2(0(0(0(2(x1)))))))))))))))))))))))))))) -> 1(2(2(1(0(2(0(0(0(1(1(2(0(2(0(0(1(0(1(2(0(2(0(1(1(2(0(1(0(x1))))))))))))))))))))))))))))) 2(0(0(0(1(1(2(0(0(0(2(0(2(0(2(2(2(0(1(0(2(2(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))))) -> 2(1(2(2(2(1(2(0(0(0(0(2(1(2(1(1(2(2(0(0(2(0(1(0(0(0(0(1(1(1(x1)))))))))))))))))))))))))))))) 0(2(1(1(1(1(0(0(2(2(2(2(0(1(0(1(0(2(1(1(1(0(2(0(2(0(1(2(2(0(x1)))))))))))))))))))))))))))))) -> 0(2(1(1(1(0(1(0(0(2(2(1(0(0(2(2(0(1(0(2(1(0(2(1(2(1(2(2(1(0(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(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(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(0(x1)) -> 1(2(1(x1))) 0(2(x1)) -> 1(1(1(x1))) 2(0(x1)) -> 1(2(1(x1))) 2(2(2(x1))) -> 1(1(2(2(1(2(1(x1))))))) 2(1(0(0(x1)))) -> 0(1(2(1(1(2(1(x1))))))) 0(0(1(0(0(x1))))) -> 1(2(0(1(1(1(x1)))))) 1(1(2(2(0(x1))))) -> 1(1(1(2(2(1(x1)))))) 0(0(0(0(0(1(x1)))))) -> 1(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(x1))))))))))))))))))))) 0(0(2(2(0(0(x1)))))) -> 1(2(2(0(1(2(1(1(1(x1))))))))) 1(0(2(2(2(1(x1)))))) -> 1(1(1(0(1(1(0(1(x1)))))))) 2(0(0(0(0(1(0(x1))))))) -> 1(0(1(0(1(2(0(1(1(2(1(1(0(x1))))))))))))) 2(2(0(0(1(2(0(x1))))))) -> 0(2(1(0(0(1(2(1(1(2(0(x1))))))))))) 2(2(2(2(0(1(2(x1))))))) -> 2(2(2(0(2(1(2(x1))))))) 0(1(0(1(1(2(1(0(x1)))))))) -> 1(1(2(0(1(2(1(1(2(1(x1)))))))))) 1(2(2(2(2(2(1(0(x1)))))))) -> 1(2(1(2(2(2(0(2(x1)))))))) 0(0(0(2(2(2(1(0(0(x1))))))))) -> 1(1(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(x1))))))))))))))))))) 0(1(0(0(2(0(2(0(2(x1))))))))) -> 1(0(0(1(1(1(1(2(2(0(0(2(x1)))))))))))) 1(1(2(0(1(1(0(0(2(x1))))))))) -> 0(1(1(2(0(1(2(1(1(2(1(2(0(1(x1)))))))))))))) 2(0(0(2(1(2(2(2(1(x1))))))))) -> 2(1(2(2(1(1(2(0(1(2(1(0(0(1(x1)))))))))))))) 2(1(0(1(2(0(1(2(0(x1))))))))) -> 1(2(1(2(1(2(0(2(1(1(0(x1))))))))))) 0(0(0(2(2(0(0(2(0(0(x1)))))))))) -> 1(1(2(2(0(0(0(0(1(1(2(x1))))))))))) 0(1(1(0(2(2(2(1(0(0(x1)))))))))) -> 0(2(1(1(2(2(0(1(1(2(1(2(x1)))))))))))) 1(0(0(1(2(1(0(2(2(2(x1)))))))))) -> 1(2(1(2(2(1(0(2(1(2(1(1(x1)))))))))))) 1(2(0(2(0(2(0(0(2(0(x1)))))))))) -> 0(0(1(1(0(0(2(0(1(1(1(x1))))))))))) 2(1(2(0(0(0(1(2(2(0(x1)))))))))) -> 1(2(1(1(0(2(1(2(0(1(0(1(1(x1))))))))))))) 0(1(2(1(0(0(1(0(2(1(1(x1))))))))))) -> 1(1(0(0(0(1(2(0(1(2(1(x1))))))))))) 0(2(1(0(0(1(0(1(0(2(0(x1))))))))))) -> 1(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(x1))))))))))))))))) 1(2(1(0(0(0(2(2(2(2(0(x1))))))))))) -> 1(1(2(0(0(2(2(1(2(1(0(0(2(1(x1)))))))))))))) 1(2(2(0(0(0(0(0(1(0(2(x1))))))))))) -> 1(0(1(2(0(0(1(1(2(1(1(2(x1)))))))))))) 2(0(2(2(2(2(1(2(0(1(1(x1))))))))))) -> 2(1(2(0(2(2(2(0(2(1(1(x1))))))))))) 2(1(0(2(0(0(1(2(2(1(2(x1))))))))))) -> 0(0(1(1(1(1(0(1(0(1(1(0(x1)))))))))))) 2(2(2(2(1(1(1(2(2(0(0(x1))))))))))) -> 1(1(1(0(1(0(0(1(1(2(0(2(1(x1))))))))))))) 0(0(2(2(2(1(0(1(0(2(0(2(x1)))))))))))) -> 1(1(1(2(0(0(0(1(0(2(0(2(2(1(x1)))))))))))))) 1(0(0(1(1(0(0(1(1(0(2(0(x1)))))))))))) -> 1(1(1(2(0(0(0(1(1(0(0(0(x1)))))))))))) 1(0(2(0(0(1(0(2(0(0(1(2(x1)))))))))))) -> 0(0(0(1(2(1(1(2(0(2(0(0(x1)))))))))))) 2(0(0(0(2(2(2(0(1(2(2(0(x1)))))))))))) -> 2(0(2(0(1(2(1(0(0(0(0(1(0(x1))))))))))))) 2(2(0(0(0(1(1(2(2(0(2(1(2(x1))))))))))))) -> 1(0(1(0(1(1(2(1(1(1(1(1(0(0(2(0(2(0(x1)))))))))))))))))) 0(1(1(1(1(0(2(2(1(1(1(0(2(2(x1)))))))))))))) -> 1(2(1(0(1(1(1(2(2(1(2(0(0(1(x1)))))))))))))) 0(1(2(2(1(2(0(0(0(2(2(1(1(0(x1)))))))))))))) -> 1(2(0(0(0(2(0(1(2(0(1(2(1(2(x1)))))))))))))) 0(0(0(2(1(2(0(1(2(1(2(2(2(1(0(x1))))))))))))))) -> 1(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(x1)))))))))))))))) 0(0(1(0(0(1(2(0(1(2(1(2(2(0(0(x1))))))))))))))) -> 1(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(x1)))))))))))))))) 2(0(0(0(2(1(0(0(1(0(2(1(0(0(2(x1))))))))))))))) -> 1(1(0(2(1(0(2(1(1(2(1(1(0(1(1(1(1(1(1(0(1(1(x1)))))))))))))))))))))) 2(0(1(0(2(2(0(1(1(2(0(2(2(2(0(x1))))))))))))))) -> 1(1(1(1(1(1(0(1(2(1(2(2(1(1(1(2(2(x1))))))))))))))))) 0(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(x1)))))))))))))))) -> 1(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(x1)))))))))))))))))) 1(0(2(2(1(0(0(1(1(1(0(1(1(2(2(0(x1)))))))))))))))) -> 1(2(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(x1))))))))))))))))))))) 2(2(0(2(2(1(0(1(0(2(2(2(2(1(2(0(x1)))))))))))))))) -> 1(0(1(0(1(0(2(0(1(1(0(2(0(0(0(1(1(x1))))))))))))))))) 2(2(0(2(2(2(0(0(0(0(1(2(2(0(2(0(x1)))))))))))))))) -> 0(2(1(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(x1))))))))))))))))))) 0(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(x1))))))))))))))))) -> 0(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(x1))))))))))))))))))) 1(1(0(0(0(0(0(0(0(2(2(2(2(1(0(0(1(x1))))))))))))))))) -> 1(2(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(x1))))))))))))))))))))) 1(1(0(0(1(2(0(2(0(0(1(2(0(2(2(2(2(x1))))))))))))))))) -> 1(2(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(x1)))))))))))))))))) 2(0(0(2(2(2(2(1(2(2(1(0(2(2(0(1(0(x1))))))))))))))))) -> 2(2(2(0(1(1(1(1(1(0(1(1(1(2(0(1(2(1(1(1(1(2(1(2(x1)))))))))))))))))))))))) 2(0(1(1(1(1(0(2(0(1(0(1(1(1(2(2(1(x1))))))))))))))))) -> 1(2(1(0(1(1(2(0(2(1(1(0(0(1(1(2(1(x1))))))))))))))))) 0(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(x1)))))))))))))))))) -> 1(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(x1)))))))))))))))))))))))) 0(1(0(0(1(1(0(0(0(1(2(1(2(2(1(0(0(2(x1)))))))))))))))))) -> 0(1(2(1(1(1(1(2(2(1(0(0(1(1(0(1(1(2(0(1(1(1(1(x1))))))))))))))))))))))) 2(0(0(0(2(0(0(0(1(0(0(2(2(0(1(2(1(0(x1)))))))))))))))))) -> 0(2(2(1(1(0(1(0(1(0(2(1(1(2(1(2(0(0(0(0(1(1(1(x1))))))))))))))))))))))) 2(2(0(1(1(0(0(0(2(0(1(0(1(0(1(0(1(2(x1)))))))))))))))))) -> 2(2(0(2(0(1(1(2(0(1(0(0(0(1(1(2(1(2(1(1(x1)))))))))))))))))))) 2(2(2(2(2(1(0(1(2(2(2(2(1(0(1(0(0(0(x1)))))))))))))))))) -> 0(1(2(1(1(1(2(1(0(0(0(1(1(0(1(1(2(2(2(2(2(2(1(0(0(x1))))))))))))))))))))))))) 0(2(0(0(2(0(2(0(0(2(1(0(0(0(0(0(2(1(2(x1))))))))))))))))))) -> 1(1(0(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(x1)))))))))))))))))))) 2(0(1(0(2(0(0(0(2(0(2(2(0(1(0(0(1(0(2(x1))))))))))))))))))) -> 0(1(1(0(1(2(1(0(0(0(1(1(0(1(2(1(1(0(2(1(2(0(0(2(1(0(0(2(x1)))))))))))))))))))))))))))) 2(1(0(0(0(2(2(0(1(2(2(0(2(2(2(0(0(0(2(x1))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(2(2(1(2(1(0(2(0(0(1(0(1(x1))))))))))))))))))))) 0(0(2(0(1(0(1(1(0(2(0(2(0(0(1(0(0(1(1(0(x1)))))))))))))))))))) -> 0(0(2(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(x1))))))))))))))))))))))))))))) 0(2(2(1(0(0(0(1(1(0(1(0(2(2(2(0(1(2(0(2(x1)))))))))))))))))))) -> 0(2(2(0(1(1(2(0(2(2(1(1(1(0(2(1(0(2(1(1(0(x1))))))))))))))))))))) 1(2(2(0(0(1(1(2(2(0(0(2(1(1(0(2(0(1(2(2(x1)))))))))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(x1)))))))))))))))))))))))))) 2(1(2(2(2(2(0(0(1(0(2(2(1(2(1(0(2(1(0(0(x1)))))))))))))))))))) -> 2(1(0(0(2(0(1(1(2(0(1(2(1(1(1(2(1(2(1(0(1(1(1(1(2(1(x1)))))))))))))))))))))))))) 0(0(0(2(2(1(1(0(2(1(2(2(0(1(1(0(0(1(0(0(2(x1))))))))))))))))))))) -> 0(0(2(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(1(0(0(0(0(2(2(2(1(1(0(2(0(0(2(1(0(x1))))))))))))))))))))) -> 1(2(0(1(0(0(1(0(0(1(2(2(0(0(0(2(2(2(0(0(0(x1))))))))))))))))))))) 0(2(0(0(2(2(1(1(1(0(2(2(0(0(0(2(2(1(0(2(0(x1))))))))))))))))))))) -> 0(1(0(0(2(0(1(2(0(2(2(1(1(2(2(1(1(2(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))) 1(0(0(0(1(1(2(2(0(2(1(1(1(0(0(0(2(0(0(1(1(x1))))))))))))))))))))) -> 1(1(2(1(1(2(1(2(1(1(2(1(0(0(0(2(0(2(1(2(1(0(1(0(2(1(2(0(1(x1))))))))))))))))))))))))))))) 2(0(2(2(0(0(2(0(0(2(1(2(2(2(1(0(2(0(2(0(0(x1))))))))))))))))))))) -> 2(1(2(2(2(0(0(2(2(1(2(0(0(2(2(2(0(0(0(0(0(x1))))))))))))))))))))) 2(1(2(0(0(2(1(0(2(2(2(0(2(1(2(2(1(0(0(2(1(x1))))))))))))))))))))) -> 1(2(0(2(2(1(0(1(0(0(1(1(2(0(1(0(2(0(2(1(2(0(1(x1))))))))))))))))))))))) 2(2(2(1(0(0(0(0(1(0(0(2(2(1(2(1(2(0(2(2(0(x1))))))))))))))))))))) -> 1(2(0(0(1(2(0(2(1(1(0(1(2(2(0(0(1(2(1(0(0(2(2(1(x1)))))))))))))))))))))))) 0(2(2(0(2(0(0(2(1(1(1(0(0(0(2(0(0(1(2(0(2(0(x1)))))))))))))))))))))) -> 1(1(2(0(0(2(1(0(2(0(1(1(2(0(0(2(2(2(1(1(0(2(1(1(1(2(x1)))))))))))))))))))))))))) 1(2(0(2(0(1(1(0(0(0(0(1(1(1(2(2(2(2(2(2(0(2(x1)))))))))))))))))))))) -> 1(0(1(2(1(2(2(1(2(2(1(0(2(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))) 2(0(1(1(0(2(1(0(2(1(2(1(1(0(0(0(2(1(1(1(1(1(x1)))))))))))))))))))))) -> 2(0(0(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(x1)))))))))))))))))))))) 2(0(2(0(2(0(1(1(0(0(0(2(2(0(0(2(1(1(0(2(1(2(x1)))))))))))))))))))))) -> 0(1(0(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(x1))))))))))))))))))))))))) 2(1(1(1(0(2(2(1(2(1(0(2(2(0(0(0(1(0(2(0(0(2(x1)))))))))))))))))))))) -> 2(0(1(0(1(0(1(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(x1)))))))))))))))))))))))))))) 2(2(2(1(2(2(1(1(0(0(1(1(0(0(2(1(1(0(2(2(1(0(x1)))))))))))))))))))))) -> 1(0(2(1(2(1(2(0(0(1(2(1(2(2(2(1(1(0(0(2(1(0(x1)))))))))))))))))))))) 0(1(2(1(0(2(2(0(0(0(1(1(2(0(2(0(1(1(0(2(1(2(2(x1))))))))))))))))))))))) -> 1(1(1(1(1(2(2(2(0(1(1(0(2(0(2(1(2(0(1(1(1(2(0(1(2(x1))))))))))))))))))))))))) 1(2(0(2(2(0(0(1(2(2(2(2(2(2(1(0(0(2(2(2(0(1(0(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(0(1(1(1(2(1(1(1(2(1(1(1(2(2(2(0(2(2(1(0(x1)))))))))))))))))))))))))))) 2(0(2(2(2(0(0(2(0(2(0(0(1(1(1(2(1(2(2(0(1(1(1(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(1(1(0(2(2(0(1(1(0(0(1(1(2(0(1(1(0(1(x1))))))))))))))))))))))))) 2(1(0(0(1(1(1(1(0(1(2(2(0(2(2(1(0(0(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(1(0(1(2(0(0(1(1(2(1(0(0(1(2(2(0(1(2(0(2(2(0(0(1(x1))))))))))))))))))))))))) 2(2(1(1(1(0(1(1(2(0(2(0(0(0(2(2(2(0(2(2(1(0(2(x1))))))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(1(1(2(1(2(1(0(0(0(1(2(2(0(2(1(x1)))))))))))))))))))))))))))) 0(0(1(2(0(1(1(1(0(2(1(0(0(2(2(2(0(0(0(0(1(2(1(1(x1)))))))))))))))))))))))) -> 1(2(1(0(0(0(0(0(0(1(0(2(1(1(2(2(1(2(0(0(0(2(1(1(x1)))))))))))))))))))))))) 0(2(0(1(2(1(2(2(2(0(2(1(2(2(2(0(2(1(0(2(2(0(0(2(x1)))))))))))))))))))))))) -> 0(1(2(1(0(0(1(1(2(1(0(2(0(2(2(2(2(2(1(1(2(2(0(1(2(0(0(0(2(x1))))))))))))))))))))))))))))) 0(2(1(2(2(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(2(1(1(0(x1)))))))))))))))))))))))) -> 0(2(0(2(1(0(1(2(2(1(0(1(2(2(0(1(0(2(0(2(0(1(2(0(x1)))))))))))))))))))))))) 1(0(0(2(1(1(2(1(2(2(1(0(0(2(0(1(0(1(0(2(1(1(1(0(x1)))))))))))))))))))))))) -> 0(1(1(0(2(0(2(2(1(2(1(1(0(1(2(1(2(1(1(0(1(1(1(0(1(0(1(x1))))))))))))))))))))))))))) 1(1(1(0(2(1(1(2(2(0(1(0(0(2(1(2(0(1(1(0(0(1(2(0(x1)))))))))))))))))))))))) -> 1(2(2(2(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(x1)))))))))))))))))))))))))) 2(0(2(2(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(2(0(2(1(0(x1)))))))))))))))))))))))) -> 2(2(1(2(1(0(1(1(2(1(2(0(0(0(1(0(0(1(2(1(2(2(2(2(1(2(1(2(x1)))))))))))))))))))))))))))) 2(1(1(2(2(0(2(0(1(1(2(2(2(0(1(2(2(0(0(0(2(2(1(0(x1)))))))))))))))))))))))) -> 1(2(0(0(1(2(0(0(1(0(2(2(1(0(1(1(1(1(0(1(2(2(0(0(2(x1))))))))))))))))))))))))) 0(0(0(2(0(2(1(2(0(1(1(0(2(0(1(0(0(0(2(2(0(1(2(2(0(x1))))))))))))))))))))))))) -> 0(0(0(0(0(1(1(0(2(1(1(2(0(2(1(2(0(2(2(0(0(2(2(0(0(x1))))))))))))))))))))))))) 0(0(2(0(0(2(1(2(1(2(2(2(2(1(0(1(2(1(1(0(1(0(0(0(0(x1))))))))))))))))))))))))) -> 0(2(2(2(1(1(1(1(1(1(1(1(0(1(0(1(2(0(1(0(1(0(2(1(1(1(1(1(2(0(x1)))))))))))))))))))))))))))))) 0(2(1(0(0(0(2(2(1(1(2(0(0(0(2(1(1(1(2(1(2(2(1(0(2(x1))))))))))))))))))))))))) -> 1(2(1(1(0(2(1(1(1(1(0(0(2(1(0(1(2(1(2(0(0(1(1(2(2(1(0(0(x1)))))))))))))))))))))))))))) 1(0(1(0(0(0(2(1(0(0(1(2(0(0(0(0(2(2(2(2(2(1(2(1(1(x1))))))))))))))))))))))))) -> 1(2(1(1(0(0(1(1(2(1(1(1(0(1(0(0(0(0(2(2(1(1(0(2(0(2(1(1(1(x1))))))))))))))))))))))))))))) 2(0(1(1(2(2(0(0(0(2(0(2(0(0(1(1(1(2(2(0(0(2(1(0(2(x1))))))))))))))))))))))))) -> 1(0(2(1(0(0(1(0(2(1(2(1(2(0(1(2(0(0(1(1(0(0(1(0(1(0(x1)))))))))))))))))))))))))) 2(0(2(1(0(2(0(1(1(1(0(2(0(1(1(2(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))))))) -> 1(1(1(1(0(2(0(1(0(1(1(0(2(0(0(0(1(2(0(1(0(2(2(0(1(1(x1)))))))))))))))))))))))))) 0(0(0(2(1(2(2(2(1(0(1(2(0(2(2(1(2(0(1(1(1(1(0(0(0(1(x1)))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(0(1(2(1(1(2(0(2(2(0(1(0(1(0(1(1(2(2(2(1(x1)))))))))))))))))))))))))))) 0(1(0(1(1(0(2(1(1(2(1(0(1(1(0(0(2(2(0(2(2(2(0(2(0(2(x1)))))))))))))))))))))))))) -> 0(1(0(1(2(0(2(0(1(0(0(0(2(0(2(0(1(2(1(1(2(1(2(2(2(1(x1)))))))))))))))))))))))))) 2(0(0(2(2(0(0(1(2(2(0(2(2(1(1(1(0(1(1(2(1(2(2(1(0(0(x1)))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(0(0(2(0(1(2(1(1(2(2(2(2(0(1(2(0(1(0(2(x1)))))))))))))))))))))))))) 2(0(2(1(1(2(0(0(2(0(0(0(0(2(2(2(0(2(0(2(0(0(2(0(1(2(x1)))))))))))))))))))))))))) -> 2(0(1(1(0(2(1(0(1(2(2(2(0(0(0(2(1(1(1(1(1(0(1(0(0(2(0(0(x1)))))))))))))))))))))))))))) 2(2(0(1(2(1(1(0(0(0(0(2(2(2(2(2(0(0(0(2(0(1(2(0(1(0(x1)))))))))))))))))))))))))) -> 0(1(1(2(1(2(0(1(1(1(1(2(2(1(1(1(1(1(2(0(0(2(2(2(0(2(1(2(2(x1))))))))))))))))))))))))))))) 2(2(2(1(0(2(0(0(1(0(2(2(2(0(0(0(1(0(1(0(2(0(2(1(0(0(x1)))))))))))))))))))))))))) -> 0(0(0(0(0(2(1(0(0(0(2(1(1(0(1(2(0(0(0(0(2(2(1(1(2(1(2(x1))))))))))))))))))))))))))) 2(2(2(1(2(0(1(2(1(0(0(1(0(1(0(2(1(1(0(0(0(2(2(0(0(0(x1)))))))))))))))))))))))))) -> 0(1(1(1(1(1(1(1(0(1(1(2(0(1(0(2(0(0(1(2(0(0(1(0(1(0(1(x1))))))))))))))))))))))))))) 0(2(1(0(1(2(2(2(1(0(1(2(1(1(0(0(0(0(1(0(0(2(1(2(1(0(2(x1))))))))))))))))))))))))))) -> 1(1(2(1(2(2(1(1(0(1(0(2(0(1(1(1(1(0(0(2(1(1(0(0(2(2(1(0(0(x1))))))))))))))))))))))))))))) 0(2(2(1(2(1(0(1(1(0(0(0(1(2(1(0(2(2(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))))))))))) -> 0(2(1(2(1(0(1(1(1(2(2(0(2(2(2(0(1(2(2(2(2(0(1(2(1(1(1(1(2(1(x1)))))))))))))))))))))))))))))) 1(1(2(0(1(1(0(0(0(2(0(2(2(2(2(0(1(0(0(0(0(0(1(2(2(0(2(0(x1)))))))))))))))))))))))))))) -> 0(0(1(2(1(2(1(1(0(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(x1))))))))))))))))))))))))))))) 1(1(2(2(0(2(0(1(1(1(0(0(2(0(2(0(2(1(0(2(1(2(2(0(0(1(0(0(x1)))))))))))))))))))))))))))) -> 1(2(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(x1)))))))))))))))))))))))))))))) 2(2(0(1(1(2(1(1(0(0(0(2(1(0(0(2(2(0(2(2(2(1(1(2(2(2(1(0(x1)))))))))))))))))))))))))))) -> 1(1(0(1(0(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(x1))))))))))))))))))))))))))))) 2(2(2(2(2(0(0(2(2(2(1(1(0(1(2(1(0(2(0(0(2(1(0(2(0(0(0(2(x1)))))))))))))))))))))))))))) -> 1(2(2(1(0(2(0(0(0(1(1(2(0(2(0(0(1(0(1(2(0(2(0(1(1(2(0(1(0(x1))))))))))))))))))))))))))))) 2(0(0(0(1(1(2(0(0(0(2(0(2(0(2(2(2(0(1(0(2(2(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))))) -> 2(1(2(2(2(1(2(0(0(0(0(2(1(2(1(1(2(2(0(0(2(0(1(0(0(0(0(1(1(1(x1)))))))))))))))))))))))))))))) 0(2(1(1(1(1(0(0(2(2(2(2(0(1(0(1(0(2(1(1(1(0(2(0(2(0(1(2(2(0(x1)))))))))))))))))))))))))))))) -> 0(2(1(1(1(0(1(0(0(2(2(1(0(0(2(2(0(1(0(2(1(0(2(1(2(1(2(2(1(0(x1)))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(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(0(x1)) -> 1(2(1(x1))) 0(2(x1)) -> 1(1(1(x1))) 2(0(x1)) -> 1(2(1(x1))) 2(2(2(x1))) -> 1(1(2(2(1(2(1(x1))))))) 2(1(0(0(x1)))) -> 0(1(2(1(1(2(1(x1))))))) 0(0(1(0(0(x1))))) -> 1(2(0(1(1(1(x1)))))) 1(1(2(2(0(x1))))) -> 1(1(1(2(2(1(x1)))))) 0(0(0(0(0(1(x1)))))) -> 1(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(x1))))))))))))))))))))) 0(0(2(2(0(0(x1)))))) -> 1(2(2(0(1(2(1(1(1(x1))))))))) 1(0(2(2(2(1(x1)))))) -> 1(1(1(0(1(1(0(1(x1)))))))) 2(0(0(0(0(1(0(x1))))))) -> 1(0(1(0(1(2(0(1(1(2(1(1(0(x1))))))))))))) 2(2(0(0(1(2(0(x1))))))) -> 0(2(1(0(0(1(2(1(1(2(0(x1))))))))))) 2(2(2(2(0(1(2(x1))))))) -> 2(2(2(0(2(1(2(x1))))))) 0(1(0(1(1(2(1(0(x1)))))))) -> 1(1(2(0(1(2(1(1(2(1(x1)))))))))) 1(2(2(2(2(2(1(0(x1)))))))) -> 1(2(1(2(2(2(0(2(x1)))))))) 0(0(0(2(2(2(1(0(0(x1))))))))) -> 1(1(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(x1))))))))))))))))))) 0(1(0(0(2(0(2(0(2(x1))))))))) -> 1(0(0(1(1(1(1(2(2(0(0(2(x1)))))))))))) 1(1(2(0(1(1(0(0(2(x1))))))))) -> 0(1(1(2(0(1(2(1(1(2(1(2(0(1(x1)))))))))))))) 2(0(0(2(1(2(2(2(1(x1))))))))) -> 2(1(2(2(1(1(2(0(1(2(1(0(0(1(x1)))))))))))))) 2(1(0(1(2(0(1(2(0(x1))))))))) -> 1(2(1(2(1(2(0(2(1(1(0(x1))))))))))) 0(0(0(2(2(0(0(2(0(0(x1)))))))))) -> 1(1(2(2(0(0(0(0(1(1(2(x1))))))))))) 0(1(1(0(2(2(2(1(0(0(x1)))))))))) -> 0(2(1(1(2(2(0(1(1(2(1(2(x1)))))))))))) 1(0(0(1(2(1(0(2(2(2(x1)))))))))) -> 1(2(1(2(2(1(0(2(1(2(1(1(x1)))))))))))) 1(2(0(2(0(2(0(0(2(0(x1)))))))))) -> 0(0(1(1(0(0(2(0(1(1(1(x1))))))))))) 2(1(2(0(0(0(1(2(2(0(x1)))))))))) -> 1(2(1(1(0(2(1(2(0(1(0(1(1(x1))))))))))))) 0(1(2(1(0(0(1(0(2(1(1(x1))))))))))) -> 1(1(0(0(0(1(2(0(1(2(1(x1))))))))))) 0(2(1(0(0(1(0(1(0(2(0(x1))))))))))) -> 1(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(x1))))))))))))))))) 1(2(1(0(0(0(2(2(2(2(0(x1))))))))))) -> 1(1(2(0(0(2(2(1(2(1(0(0(2(1(x1)))))))))))))) 1(2(2(0(0(0(0(0(1(0(2(x1))))))))))) -> 1(0(1(2(0(0(1(1(2(1(1(2(x1)))))))))))) 2(0(2(2(2(2(1(2(0(1(1(x1))))))))))) -> 2(1(2(0(2(2(2(0(2(1(1(x1))))))))))) 2(1(0(2(0(0(1(2(2(1(2(x1))))))))))) -> 0(0(1(1(1(1(0(1(0(1(1(0(x1)))))))))))) 2(2(2(2(1(1(1(2(2(0(0(x1))))))))))) -> 1(1(1(0(1(0(0(1(1(2(0(2(1(x1))))))))))))) 0(0(2(2(2(1(0(1(0(2(0(2(x1)))))))))))) -> 1(1(1(2(0(0(0(1(0(2(0(2(2(1(x1)))))))))))))) 1(0(0(1(1(0(0(1(1(0(2(0(x1)))))))))))) -> 1(1(1(2(0(0(0(1(1(0(0(0(x1)))))))))))) 1(0(2(0(0(1(0(2(0(0(1(2(x1)))))))))))) -> 0(0(0(1(2(1(1(2(0(2(0(0(x1)))))))))))) 2(0(0(0(2(2(2(0(1(2(2(0(x1)))))))))))) -> 2(0(2(0(1(2(1(0(0(0(0(1(0(x1))))))))))))) 2(2(0(0(0(1(1(2(2(0(2(1(2(x1))))))))))))) -> 1(0(1(0(1(1(2(1(1(1(1(1(0(0(2(0(2(0(x1)))))))))))))))))) 0(1(1(1(1(0(2(2(1(1(1(0(2(2(x1)))))))))))))) -> 1(2(1(0(1(1(1(2(2(1(2(0(0(1(x1)))))))))))))) 0(1(2(2(1(2(0(0(0(2(2(1(1(0(x1)))))))))))))) -> 1(2(0(0(0(2(0(1(2(0(1(2(1(2(x1)))))))))))))) 0(0(0(2(1(2(0(1(2(1(2(2(2(1(0(x1))))))))))))))) -> 1(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(x1)))))))))))))))) 0(0(1(0(0(1(2(0(1(2(1(2(2(0(0(x1))))))))))))))) -> 1(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(x1)))))))))))))))) 2(0(0(0(2(1(0(0(1(0(2(1(0(0(2(x1))))))))))))))) -> 1(1(0(2(1(0(2(1(1(2(1(1(0(1(1(1(1(1(1(0(1(1(x1)))))))))))))))))))))) 2(0(1(0(2(2(0(1(1(2(0(2(2(2(0(x1))))))))))))))) -> 1(1(1(1(1(1(0(1(2(1(2(2(1(1(1(2(2(x1))))))))))))))))) 0(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(x1)))))))))))))))) -> 1(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(x1)))))))))))))))))) 1(0(2(2(1(0(0(1(1(1(0(1(1(2(2(0(x1)))))))))))))))) -> 1(2(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(x1))))))))))))))))))))) 2(2(0(2(2(1(0(1(0(2(2(2(2(1(2(0(x1)))))))))))))))) -> 1(0(1(0(1(0(2(0(1(1(0(2(0(0(0(1(1(x1))))))))))))))))) 2(2(0(2(2(2(0(0(0(0(1(2(2(0(2(0(x1)))))))))))))))) -> 0(2(1(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(x1))))))))))))))))))) 0(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(x1))))))))))))))))) -> 0(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(x1))))))))))))))))))) 1(1(0(0(0(0(0(0(0(2(2(2(2(1(0(0(1(x1))))))))))))))))) -> 1(2(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(x1))))))))))))))))))))) 1(1(0(0(1(2(0(2(0(0(1(2(0(2(2(2(2(x1))))))))))))))))) -> 1(2(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(x1)))))))))))))))))) 2(0(0(2(2(2(2(1(2(2(1(0(2(2(0(1(0(x1))))))))))))))))) -> 2(2(2(0(1(1(1(1(1(0(1(1(1(2(0(1(2(1(1(1(1(2(1(2(x1)))))))))))))))))))))))) 2(0(1(1(1(1(0(2(0(1(0(1(1(1(2(2(1(x1))))))))))))))))) -> 1(2(1(0(1(1(2(0(2(1(1(0(0(1(1(2(1(x1))))))))))))))))) 0(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(x1)))))))))))))))))) -> 1(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(x1)))))))))))))))))))))))) 0(1(0(0(1(1(0(0(0(1(2(1(2(2(1(0(0(2(x1)))))))))))))))))) -> 0(1(2(1(1(1(1(2(2(1(0(0(1(1(0(1(1(2(0(1(1(1(1(x1))))))))))))))))))))))) 2(0(0(0(2(0(0(0(1(0(0(2(2(0(1(2(1(0(x1)))))))))))))))))) -> 0(2(2(1(1(0(1(0(1(0(2(1(1(2(1(2(0(0(0(0(1(1(1(x1))))))))))))))))))))))) 2(2(0(1(1(0(0(0(2(0(1(0(1(0(1(0(1(2(x1)))))))))))))))))) -> 2(2(0(2(0(1(1(2(0(1(0(0(0(1(1(2(1(2(1(1(x1)))))))))))))))))))) 2(2(2(2(2(1(0(1(2(2(2(2(1(0(1(0(0(0(x1)))))))))))))))))) -> 0(1(2(1(1(1(2(1(0(0(0(1(1(0(1(1(2(2(2(2(2(2(1(0(0(x1))))))))))))))))))))))))) 0(2(0(0(2(0(2(0(0(2(1(0(0(0(0(0(2(1(2(x1))))))))))))))))))) -> 1(1(0(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(x1)))))))))))))))))))) 2(0(1(0(2(0(0(0(2(0(2(2(0(1(0(0(1(0(2(x1))))))))))))))))))) -> 0(1(1(0(1(2(1(0(0(0(1(1(0(1(2(1(1(0(2(1(2(0(0(2(1(0(0(2(x1)))))))))))))))))))))))))))) 2(1(0(0(0(2(2(0(1(2(2(0(2(2(2(0(0(0(2(x1))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(2(2(1(2(1(0(2(0(0(1(0(1(x1))))))))))))))))))))) 0(0(2(0(1(0(1(1(0(2(0(2(0(0(1(0(0(1(1(0(x1)))))))))))))))))))) -> 0(0(2(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(x1))))))))))))))))))))))))))))) 0(2(2(1(0(0(0(1(1(0(1(0(2(2(2(0(1(2(0(2(x1)))))))))))))))))))) -> 0(2(2(0(1(1(2(0(2(2(1(1(1(0(2(1(0(2(1(1(0(x1))))))))))))))))))))) 1(2(2(0(0(1(1(2(2(0(0(2(1(1(0(2(0(1(2(2(x1)))))))))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(x1)))))))))))))))))))))))))) 2(1(2(2(2(2(0(0(1(0(2(2(1(2(1(0(2(1(0(0(x1)))))))))))))))))))) -> 2(1(0(0(2(0(1(1(2(0(1(2(1(1(1(2(1(2(1(0(1(1(1(1(2(1(x1)))))))))))))))))))))))))) 0(0(0(2(2(1(1(0(2(1(2(2(0(1(1(0(0(1(0(0(2(x1))))))))))))))))))))) -> 0(0(2(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(x1))))))))))))))))))))))))))) 0(0(2(0(1(0(0(0(0(2(2(2(1(1(0(2(0(0(2(1(0(x1))))))))))))))))))))) -> 1(2(0(1(0(0(1(0(0(1(2(2(0(0(0(2(2(2(0(0(0(x1))))))))))))))))))))) 0(2(0(0(2(2(1(1(1(0(2(2(0(0(0(2(2(1(0(2(0(x1))))))))))))))))))))) -> 0(1(0(0(2(0(1(2(0(2(2(1(1(2(2(1(1(2(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))) 1(0(0(0(1(1(2(2(0(2(1(1(1(0(0(0(2(0(0(1(1(x1))))))))))))))))))))) -> 1(1(2(1(1(2(1(2(1(1(2(1(0(0(0(2(0(2(1(2(1(0(1(0(2(1(2(0(1(x1))))))))))))))))))))))))))))) 2(0(2(2(0(0(2(0(0(2(1(2(2(2(1(0(2(0(2(0(0(x1))))))))))))))))))))) -> 2(1(2(2(2(0(0(2(2(1(2(0(0(2(2(2(0(0(0(0(0(x1))))))))))))))))))))) 2(1(2(0(0(2(1(0(2(2(2(0(2(1(2(2(1(0(0(2(1(x1))))))))))))))))))))) -> 1(2(0(2(2(1(0(1(0(0(1(1(2(0(1(0(2(0(2(1(2(0(1(x1))))))))))))))))))))))) 2(2(2(1(0(0(0(0(1(0(0(2(2(1(2(1(2(0(2(2(0(x1))))))))))))))))))))) -> 1(2(0(0(1(2(0(2(1(1(0(1(2(2(0(0(1(2(1(0(0(2(2(1(x1)))))))))))))))))))))))) 0(2(2(0(2(0(0(2(1(1(1(0(0(0(2(0(0(1(2(0(2(0(x1)))))))))))))))))))))) -> 1(1(2(0(0(2(1(0(2(0(1(1(2(0(0(2(2(2(1(1(0(2(1(1(1(2(x1)))))))))))))))))))))))))) 1(2(0(2(0(1(1(0(0(0(0(1(1(1(2(2(2(2(2(2(0(2(x1)))))))))))))))))))))) -> 1(0(1(2(1(2(2(1(2(2(1(0(2(2(2(0(0(1(1(0(2(1(2(x1))))))))))))))))))))))) 2(0(1(1(0(2(1(0(2(1(2(1(1(0(0(0(2(1(1(1(1(1(x1)))))))))))))))))))))) -> 2(0(0(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(x1)))))))))))))))))))))) 2(0(2(0(2(0(1(1(0(0(0(2(2(0(0(2(1(1(0(2(1(2(x1)))))))))))))))))))))) -> 0(1(0(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(x1))))))))))))))))))))))))) 2(1(1(1(0(2(2(1(2(1(0(2(2(0(0(0(1(0(2(0(0(2(x1)))))))))))))))))))))) -> 2(0(1(0(1(0(1(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(x1)))))))))))))))))))))))))))) 2(2(2(1(2(2(1(1(0(0(1(1(0(0(2(1(1(0(2(2(1(0(x1)))))))))))))))))))))) -> 1(0(2(1(2(1(2(0(0(1(2(1(2(2(2(1(1(0(0(2(1(0(x1)))))))))))))))))))))) 0(1(2(1(0(2(2(0(0(0(1(1(2(0(2(0(1(1(0(2(1(2(2(x1))))))))))))))))))))))) -> 1(1(1(1(1(2(2(2(0(1(1(0(2(0(2(1(2(0(1(1(1(2(0(1(2(x1))))))))))))))))))))))))) 1(2(0(2(2(0(0(1(2(2(2(2(2(2(1(0(0(2(2(2(0(1(0(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(0(1(1(1(2(1(1(1(2(1(1(1(2(2(2(0(2(2(1(0(x1)))))))))))))))))))))))))))) 2(0(2(2(2(0(0(2(0(2(0(0(1(1(1(2(1(2(2(0(1(1(1(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(1(1(0(2(2(0(1(1(0(0(1(1(2(0(1(1(0(1(x1))))))))))))))))))))))))) 2(1(0(0(1(1(1(1(0(1(2(2(0(2(2(1(0(0(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(1(0(1(2(0(0(1(1(2(1(0(0(1(2(2(0(1(2(0(2(2(0(0(1(x1))))))))))))))))))))))))) 2(2(1(1(1(0(1(1(2(0(2(0(0(0(2(2(2(0(2(2(1(0(2(x1))))))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(1(1(2(1(2(1(0(0(0(1(2(2(0(2(1(x1)))))))))))))))))))))))))))) 0(0(1(2(0(1(1(1(0(2(1(0(0(2(2(2(0(0(0(0(1(2(1(1(x1)))))))))))))))))))))))) -> 1(2(1(0(0(0(0(0(0(1(0(2(1(1(2(2(1(2(0(0(0(2(1(1(x1)))))))))))))))))))))))) 0(2(0(1(2(1(2(2(2(0(2(1(2(2(2(0(2(1(0(2(2(0(0(2(x1)))))))))))))))))))))))) -> 0(1(2(1(0(0(1(1(2(1(0(2(0(2(2(2(2(2(1(1(2(2(0(1(2(0(0(0(2(x1))))))))))))))))))))))))))))) 0(2(1(2(2(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(2(1(1(0(x1)))))))))))))))))))))))) -> 0(2(0(2(1(0(1(2(2(1(0(1(2(2(0(1(0(2(0(2(0(1(2(0(x1)))))))))))))))))))))))) 1(0(0(2(1(1(2(1(2(2(1(0(0(2(0(1(0(1(0(2(1(1(1(0(x1)))))))))))))))))))))))) -> 0(1(1(0(2(0(2(2(1(2(1(1(0(1(2(1(2(1(1(0(1(1(1(0(1(0(1(x1))))))))))))))))))))))))))) 1(1(1(0(2(1(1(2(2(0(1(0(0(2(1(2(0(1(1(0(0(1(2(0(x1)))))))))))))))))))))))) -> 1(2(2(2(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(x1)))))))))))))))))))))))))) 2(0(2(2(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(2(0(2(1(0(x1)))))))))))))))))))))))) -> 2(2(1(2(1(0(1(1(2(1(2(0(0(0(1(0(0(1(2(1(2(2(2(2(1(2(1(2(x1)))))))))))))))))))))))))))) 2(1(1(2(2(0(2(0(1(1(2(2(2(0(1(2(2(0(0(0(2(2(1(0(x1)))))))))))))))))))))))) -> 1(2(0(0(1(2(0(0(1(0(2(2(1(0(1(1(1(1(0(1(2(2(0(0(2(x1))))))))))))))))))))))))) 0(0(0(2(0(2(1(2(0(1(1(0(2(0(1(0(0(0(2(2(0(1(2(2(0(x1))))))))))))))))))))))))) -> 0(0(0(0(0(1(1(0(2(1(1(2(0(2(1(2(0(2(2(0(0(2(2(0(0(x1))))))))))))))))))))))))) 0(0(2(0(0(2(1(2(1(2(2(2(2(1(0(1(2(1(1(0(1(0(0(0(0(x1))))))))))))))))))))))))) -> 0(2(2(2(1(1(1(1(1(1(1(1(0(1(0(1(2(0(1(0(1(0(2(1(1(1(1(1(2(0(x1)))))))))))))))))))))))))))))) 0(2(1(0(0(0(2(2(1(1(2(0(0(0(2(1(1(1(2(1(2(2(1(0(2(x1))))))))))))))))))))))))) -> 1(2(1(1(0(2(1(1(1(1(0(0(2(1(0(1(2(1(2(0(0(1(1(2(2(1(0(0(x1)))))))))))))))))))))))))))) 1(0(1(0(0(0(2(1(0(0(1(2(0(0(0(0(2(2(2(2(2(1(2(1(1(x1))))))))))))))))))))))))) -> 1(2(1(1(0(0(1(1(2(1(1(1(0(1(0(0(0(0(2(2(1(1(0(2(0(2(1(1(1(x1))))))))))))))))))))))))))))) 2(0(1(1(2(2(0(0(0(2(0(2(0(0(1(1(1(2(2(0(0(2(1(0(2(x1))))))))))))))))))))))))) -> 1(0(2(1(0(0(1(0(2(1(2(1(2(0(1(2(0(0(1(1(0(0(1(0(1(0(x1)))))))))))))))))))))))))) 2(0(2(1(0(2(0(1(1(1(0(2(0(1(1(2(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))))))) -> 1(1(1(1(0(2(0(1(0(1(1(0(2(0(0(0(1(2(0(1(0(2(2(0(1(1(x1)))))))))))))))))))))))))) 0(0(0(2(1(2(2(2(1(0(1(2(0(2(2(1(2(0(1(1(1(1(0(0(0(1(x1)))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(0(1(2(1(1(2(0(2(2(0(1(0(1(0(1(1(2(2(2(1(x1)))))))))))))))))))))))))))) 0(1(0(1(1(0(2(1(1(2(1(0(1(1(0(0(2(2(0(2(2(2(0(2(0(2(x1)))))))))))))))))))))))))) -> 0(1(0(1(2(0(2(0(1(0(0(0(2(0(2(0(1(2(1(1(2(1(2(2(2(1(x1)))))))))))))))))))))))))) 2(0(0(2(2(0(0(1(2(2(0(2(2(1(1(1(0(1(1(2(1(2(2(1(0(0(x1)))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(0(0(2(0(1(2(1(1(2(2(2(2(0(1(2(0(1(0(2(x1)))))))))))))))))))))))))) 2(0(2(1(1(2(0(0(2(0(0(0(0(2(2(2(0(2(0(2(0(0(2(0(1(2(x1)))))))))))))))))))))))))) -> 2(0(1(1(0(2(1(0(1(2(2(2(0(0(0(2(1(1(1(1(1(0(1(0(0(2(0(0(x1)))))))))))))))))))))))))))) 2(2(0(1(2(1(1(0(0(0(0(2(2(2(2(2(0(0(0(2(0(1(2(0(1(0(x1)))))))))))))))))))))))))) -> 0(1(1(2(1(2(0(1(1(1(1(2(2(1(1(1(1(1(2(0(0(2(2(2(0(2(1(2(2(x1))))))))))))))))))))))))))))) 2(2(2(1(0(2(0(0(1(0(2(2(2(0(0(0(1(0(1(0(2(0(2(1(0(0(x1)))))))))))))))))))))))))) -> 0(0(0(0(0(2(1(0(0(0(2(1(1(0(1(2(0(0(0(0(2(2(1(1(2(1(2(x1))))))))))))))))))))))))))) 2(2(2(1(2(0(1(2(1(0(0(1(0(1(0(2(1(1(0(0(0(2(2(0(0(0(x1)))))))))))))))))))))))))) -> 0(1(1(1(1(1(1(1(0(1(1(2(0(1(0(2(0(0(1(2(0(0(1(0(1(0(1(x1))))))))))))))))))))))))))) 0(2(1(0(1(2(2(2(1(0(1(2(1(1(0(0(0(0(1(0(0(2(1(2(1(0(2(x1))))))))))))))))))))))))))) -> 1(1(2(1(2(2(1(1(0(1(0(2(0(1(1(1(1(0(0(2(1(1(0(0(2(2(1(0(0(x1))))))))))))))))))))))))))))) 0(2(2(1(2(1(0(1(1(0(0(0(1(2(1(0(2(2(2(2(2(2(2(1(2(1(0(x1))))))))))))))))))))))))))) -> 0(2(1(2(1(0(1(1(1(2(2(0(2(2(2(0(1(2(2(2(2(0(1(2(1(1(1(1(2(1(x1)))))))))))))))))))))))))))))) 1(1(2(0(1(1(0(0(0(2(0(2(2(2(2(0(1(0(0(0(0(0(1(2(2(0(2(0(x1)))))))))))))))))))))))))))) -> 0(0(1(2(1(2(1(1(0(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(x1))))))))))))))))))))))))))))) 1(1(2(2(0(2(0(1(1(1(0(0(2(0(2(0(2(1(0(2(1(2(2(0(0(1(0(0(x1)))))))))))))))))))))))))))) -> 1(2(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(x1)))))))))))))))))))))))))))))) 2(2(0(1(1(2(1(1(0(0(0(2(1(0(0(2(2(0(2(2(2(1(1(2(2(2(1(0(x1)))))))))))))))))))))))))))) -> 1(1(0(1(0(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(x1))))))))))))))))))))))))))))) 2(2(2(2(2(0(0(2(2(2(1(1(0(1(2(1(0(2(0(0(2(1(0(2(0(0(0(2(x1)))))))))))))))))))))))))))) -> 1(2(2(1(0(2(0(0(0(1(1(2(0(2(0(0(1(0(1(2(0(2(0(1(1(2(0(1(0(x1))))))))))))))))))))))))))))) 2(0(0(0(1(1(2(0(0(0(2(0(2(0(2(2(2(0(1(0(2(2(1(1(2(1(2(2(2(x1))))))))))))))))))))))))))))) -> 2(1(2(2(2(1(2(0(0(0(0(2(1(2(1(1(2(2(0(0(2(0(1(0(0(0(0(1(1(1(x1)))))))))))))))))))))))))))))) 0(2(1(1(1(1(0(0(2(2(2(2(0(1(0(1(0(2(1(1(1(0(2(0(2(0(1(2(2(0(x1)))))))))))))))))))))))))))))) -> 0(2(1(1(1(0(1(0(0(2(2(1(0(0(2(2(0(1(0(2(1(0(2(1(2(1(2(2(1(0(x1)))))))))))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(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(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(0(z0)) -> 1(2(1(z0))) 0(2(z0)) -> 1(1(1(z0))) 0(0(1(0(0(z0))))) -> 1(2(0(1(1(1(z0)))))) 0(0(0(0(0(1(z0)))))) -> 1(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))))) 0(0(2(2(0(0(z0)))))) -> 1(2(2(0(1(2(1(1(1(z0))))))))) 0(1(0(1(1(2(1(0(z0)))))))) -> 1(1(2(0(1(2(1(1(2(1(z0)))))))))) 0(0(0(2(2(2(1(0(0(z0))))))))) -> 1(1(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))))))) 0(1(0(0(2(0(2(0(2(z0))))))))) -> 1(0(0(1(1(1(1(2(2(0(0(2(z0)))))))))))) 0(0(0(2(2(0(0(2(0(0(z0)))))))))) -> 1(1(2(2(0(0(0(0(1(1(2(z0))))))))))) 0(1(1(0(2(2(2(1(0(0(z0)))))))))) -> 0(2(1(1(2(2(0(1(1(2(1(2(z0)))))))))))) 0(1(2(1(0(0(1(0(2(1(1(z0))))))))))) -> 1(1(0(0(0(1(2(0(1(2(1(z0))))))))))) 0(2(1(0(0(1(0(1(0(2(0(z0))))))))))) -> 1(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))))) 0(0(2(2(2(1(0(1(0(2(0(2(z0)))))))))))) -> 1(1(1(2(0(0(0(1(0(2(0(2(2(1(z0)))))))))))))) 0(1(1(1(1(0(2(2(1(1(1(0(2(2(z0)))))))))))))) -> 1(2(1(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))))) 0(1(2(2(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))) -> 1(2(0(0(0(2(0(1(2(0(1(2(1(2(z0)))))))))))))) 0(0(0(2(1(2(0(1(2(1(2(2(2(1(0(z0))))))))))))))) -> 1(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))))) 0(0(1(0(0(1(2(0(1(2(1(2(2(0(0(z0))))))))))))))) -> 1(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))))) 0(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(z0)))))))))))))))) -> 1(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))))) 0(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(z0))))))))))))))))) -> 0(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))))) 0(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(z0)))))))))))))))))) -> 1(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))) 0(1(0(0(1(1(0(0(0(1(2(1(2(2(1(0(0(2(z0)))))))))))))))))) -> 0(1(2(1(1(1(1(2(2(1(0(0(1(1(0(1(1(2(0(1(1(1(1(z0))))))))))))))))))))))) 0(2(0(0(2(0(2(0(0(2(1(0(0(0(0(0(2(1(2(z0))))))))))))))))))) -> 1(1(0(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0)))))))))))))))))))) 0(0(2(0(1(0(1(1(0(2(0(2(0(0(1(0(0(1(1(0(z0)))))))))))))))))))) -> 0(0(2(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))) 0(2(2(1(0(0(0(1(1(0(1(0(2(2(2(0(1(2(0(2(z0)))))))))))))))))))) -> 0(2(2(0(1(1(2(0(2(2(1(1(1(0(2(1(0(2(1(1(0(z0))))))))))))))))))))) 0(0(0(2(2(1(1(0(2(1(2(2(0(1(1(0(0(1(0(0(2(z0))))))))))))))))))))) -> 0(0(2(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))))))))))))) 0(0(2(0(1(0(0(0(0(2(2(2(1(1(0(2(0(0(2(1(0(z0))))))))))))))))))))) -> 1(2(0(1(0(0(1(0(0(1(2(2(0(0(0(2(2(2(0(0(0(z0))))))))))))))))))))) 0(2(0(0(2(2(1(1(1(0(2(2(0(0(0(2(2(1(0(2(0(z0))))))))))))))))))))) -> 0(1(0(0(2(0(1(2(0(2(2(1(1(2(2(1(1(2(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))) 0(2(2(0(2(0(0(2(1(1(1(0(0(0(2(0(0(1(2(0(2(0(z0)))))))))))))))))))))) -> 1(1(2(0(0(2(1(0(2(0(1(1(2(0(0(2(2(2(1(1(0(2(1(1(1(2(z0)))))))))))))))))))))))))) 0(1(2(1(0(2(2(0(0(0(1(1(2(0(2(0(1(1(0(2(1(2(2(z0))))))))))))))))))))))) -> 1(1(1(1(1(2(2(2(0(1(1(0(2(0(2(1(2(0(1(1(1(2(0(1(2(z0))))))))))))))))))))))))) 0(0(1(2(0(1(1(1(0(2(1(0(0(2(2(2(0(0(0(0(1(2(1(1(z0)))))))))))))))))))))))) -> 1(2(1(0(0(0(0(0(0(1(0(2(1(1(2(2(1(2(0(0(0(2(1(1(z0)))))))))))))))))))))))) 0(2(0(1(2(1(2(2(2(0(2(1(2(2(2(0(2(1(0(2(2(0(0(2(z0)))))))))))))))))))))))) -> 0(1(2(1(0(0(1(1(2(1(0(2(0(2(2(2(2(2(1(1(2(2(0(1(2(0(0(0(2(z0))))))))))))))))))))))))))))) 0(2(1(2(2(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(2(1(1(0(z0)))))))))))))))))))))))) -> 0(2(0(2(1(0(1(2(2(1(0(1(2(2(0(1(0(2(0(2(0(1(2(0(z0)))))))))))))))))))))))) 0(0(0(2(0(2(1(2(0(1(1(0(2(0(1(0(0(0(2(2(0(1(2(2(0(z0))))))))))))))))))))))))) -> 0(0(0(0(0(1(1(0(2(1(1(2(0(2(1(2(0(2(2(0(0(2(2(0(0(z0))))))))))))))))))))))))) 0(0(2(0(0(2(1(2(1(2(2(2(2(1(0(1(2(1(1(0(1(0(0(0(0(z0))))))))))))))))))))))))) -> 0(2(2(2(1(1(1(1(1(1(1(1(0(1(0(1(2(0(1(0(1(0(2(1(1(1(1(1(2(0(z0)))))))))))))))))))))))))))))) 0(2(1(0(0(0(2(2(1(1(2(0(0(0(2(1(1(1(2(1(2(2(1(0(2(z0))))))))))))))))))))))))) -> 1(2(1(1(0(2(1(1(1(1(0(0(2(1(0(1(2(1(2(0(0(1(1(2(2(1(0(0(z0)))))))))))))))))))))))))))) 0(0(0(2(1(2(2(2(1(0(1(2(0(2(2(1(2(0(1(1(1(1(0(0(0(1(z0)))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(0(1(2(1(1(2(0(2(2(0(1(0(1(0(1(1(2(2(2(1(z0)))))))))))))))))))))))))))) 0(1(0(1(1(0(2(1(1(2(1(0(1(1(0(0(2(2(0(2(2(2(0(2(0(2(z0)))))))))))))))))))))))))) -> 0(1(0(1(2(0(2(0(1(0(0(0(2(0(2(0(1(2(1(1(2(1(2(2(2(1(z0)))))))))))))))))))))))))) 0(2(1(0(1(2(2(2(1(0(1(2(1(1(0(0(0(0(1(0(0(2(1(2(1(0(2(z0))))))))))))))))))))))))))) -> 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0(0(1(1(0(0(2(0(1(1(1(z0))))))))))) 1(2(1(0(0(0(2(2(2(2(0(z0))))))))))) -> 1(1(2(0(0(2(2(1(2(1(0(0(2(1(z0)))))))))))))) 1(2(2(0(0(0(0(0(1(0(2(z0))))))))))) -> 1(0(1(2(0(0(1(1(2(1(1(2(z0)))))))))))) 1(0(0(1(1(0(0(1(1(0(2(0(z0)))))))))))) -> 1(1(1(2(0(0(0(1(1(0(0(0(z0)))))))))))) 1(0(2(0(0(1(0(2(0(0(1(2(z0)))))))))))) -> 0(0(0(1(2(1(1(2(0(2(0(0(z0)))))))))))) 1(0(2(2(1(0(0(1(1(1(0(1(1(2(2(0(z0)))))))))))))))) -> 1(2(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))))))) 1(1(0(0(0(0(0(0(0(2(2(2(2(1(0(0(1(z0))))))))))))))))) -> 1(2(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))))))) 1(1(0(0(1(2(0(2(0(0(1(2(0(2(2(2(2(z0))))))))))))))))) -> 1(2(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))))))) 1(2(2(0(0(1(1(2(2(0(0(2(1(1(0(2(0(1(2(2(z0)))))))))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))))))) 1(0(0(0(1(1(2(2(0(2(1(1(1(0(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 1(1(2(1(1(2(1(2(1(1(2(1(0(0(0(2(0(2(1(2(1(0(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))) 1(2(0(2(0(1(1(0(0(0(0(1(1(1(2(2(2(2(2(2(0(2(z0)))))))))))))))))))))) -> 1(0(1(2(1(2(2(1(2(2(1(0(2(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))) 1(2(0(2(2(0(0(1(2(2(2(2(2(2(1(0(0(2(2(2(0(1(0(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(0(1(1(1(2(1(1(1(2(1(1(1(2(2(2(0(2(2(1(0(z0)))))))))))))))))))))))))))) 1(0(0(2(1(1(2(1(2(2(1(0(0(2(0(1(0(1(0(2(1(1(1(0(z0)))))))))))))))))))))))) -> 0(1(1(0(2(0(2(2(1(2(1(1(0(1(2(1(2(1(1(0(1(1(1(0(1(0(1(z0))))))))))))))))))))))))))) 1(1(1(0(2(1(1(2(2(0(1(0(0(2(1(2(0(1(1(0(0(1(2(0(z0)))))))))))))))))))))))) -> 1(2(2(2(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))))))))))))))) 1(0(1(0(0(0(2(1(0(0(1(2(0(0(0(0(2(2(2(2(2(1(2(1(1(z0))))))))))))))))))))))))) -> 1(2(1(1(0(0(1(1(2(1(1(1(0(1(0(0(0(0(2(2(1(1(0(2(0(2(1(1(1(z0))))))))))))))))))))))))))))) 1(1(2(0(1(1(0(0(0(2(0(2(2(2(2(0(1(0(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))) -> 0(0(1(2(1(2(1(1(0(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))))))))))))))) 1(1(2(2(0(2(0(1(1(1(0(0(2(0(2(0(2(1(0(2(1(2(2(0(0(1(0(0(z0)))))))))))))))))))))))))))) -> 1(2(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0)) ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0)) ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(0(z0)) -> c6(1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(2(z0)) -> c7(1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(0(1(0(0(z0))))) -> c8(1'(2(0(1(1(1(z0)))))), 2'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(0(0(0(0(1(z0)))))) -> c9(1'(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))))), 2'(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))))))))), 0'(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))), 2'(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))))))), 1'(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))), 1'(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))), 2'(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))), 1'(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))), 1'(1(0(1(2(1(2(1(0(0(1(z0))))))))))), 1'(0(1(2(1(2(1(0(0(1(z0)))))))))), 0'(1(2(1(2(1(0(0(1(z0))))))))), 1'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(0(2(2(0(0(z0)))))) -> c10(1'(2(2(0(1(2(1(1(1(z0))))))))), 2'(2(0(1(2(1(1(1(z0)))))))), 2'(0(1(2(1(1(1(z0))))))), 0'(1(2(1(1(1(z0)))))), 1'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(1'(1(2(0(1(2(1(1(2(1(z0)))))))))), 1'(2(0(1(2(1(1(2(1(z0))))))))), 2'(0(1(2(1(1(2(1(z0)))))))), 0'(1(2(1(1(2(1(z0))))))), 1'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(0(0(2(2(2(1(0(0(z0))))))))) -> c12(1'(1(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))))))), 1'(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0)))))))))))))))))), 2'(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))))), 0'(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0)))))))))))))))), 1'(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))), 1'(0(2(0(2(1(2(1(2(1(2(1(2(1(z0)))))))))))))), 0'(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))), 2'(0(2(1(2(1(2(1(2(1(2(1(z0)))))))))))), 0'(2(1(2(1(2(1(2(1(2(1(z0))))))))))), 2'(1(2(1(2(1(2(1(2(1(z0)))))))))), 1'(2(1(2(1(2(1(2(1(z0))))))))), 2'(1(2(1(2(1(2(1(z0)))))))), 1'(2(1(2(1(2(1(z0))))))), 2'(1(2(1(2(1(z0)))))), 1'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(0(0(2(0(2(0(2(z0))))))))) -> c13(1'(0(0(1(1(1(1(2(2(0(0(2(z0)))))))))))), 0'(0(1(1(1(1(2(2(0(0(2(z0))))))))))), 0'(1(1(1(1(2(2(0(0(2(z0)))))))))), 1'(1(1(1(2(2(0(0(2(z0))))))))), 1'(1(1(2(2(0(0(2(z0)))))))), 1'(1(2(2(0(0(2(z0))))))), 1'(2(2(0(0(2(z0)))))), 2'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(0(2(0(0(z0)))))))))) -> c14(1'(1(2(2(0(0(0(0(1(1(2(z0))))))))))), 1'(2(2(0(0(0(0(1(1(2(z0)))))))))), 2'(2(0(0(0(0(1(1(2(z0))))))))), 2'(0(0(0(0(1(1(2(z0)))))))), 0'(0(0(0(1(1(2(z0))))))), 0'(0(0(1(1(2(z0)))))), 0'(0(1(1(2(z0))))), 0'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(1(0(2(2(2(1(0(0(z0)))))))))) -> c15(0'(2(1(1(2(2(0(1(1(2(1(2(z0)))))))))))), 2'(1(1(2(2(0(1(1(2(1(2(z0))))))))))), 1'(1(2(2(0(1(1(2(1(2(z0)))))))))), 1'(2(2(0(1(1(2(1(2(z0))))))))), 2'(2(0(1(1(2(1(2(z0)))))))), 2'(0(1(1(2(1(2(z0))))))), 0'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(1(0(0(1(0(2(1(1(z0))))))))))) -> c16(1'(1(0(0(0(1(2(0(1(2(1(z0))))))))))), 1'(0(0(0(1(2(0(1(2(1(z0)))))))))), 0'(0(0(1(2(0(1(2(1(z0))))))))), 0'(0(1(2(0(1(2(1(z0)))))))), 0'(1(2(0(1(2(1(z0))))))), 1'(2(0(1(2(1(z0)))))), 2'(0(1(2(1(z0))))), 0'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(2(1(0(0(1(0(1(0(2(0(z0))))))))))) -> c17(1'(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))))), 0'(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0)))))))))))))))), 1'(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))), 1'(0(1(2(0(1(2(1(1(0(1(1(2(0(z0)))))))))))))), 0'(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))), 1'(2(0(1(2(1(1(0(1(1(2(0(z0)))))))))))), 2'(0(1(2(1(1(0(1(1(2(0(z0))))))))))), 0'(1(2(1(1(0(1(1(2(0(z0)))))))))), 1'(2(1(1(0(1(1(2(0(z0))))))))), 2'(1(1(0(1(1(2(0(z0)))))))), 1'(1(0(1(1(2(0(z0))))))), 1'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(0(2(2(2(1(0(1(0(2(0(2(z0)))))))))))) -> c18(1'(1(1(2(0(0(0(1(0(2(0(2(2(1(z0)))))))))))))), 1'(1(2(0(0(0(1(0(2(0(2(2(1(z0))))))))))))), 1'(2(0(0(0(1(0(2(0(2(2(1(z0)))))))))))), 2'(0(0(0(1(0(2(0(2(2(1(z0))))))))))), 0'(0(0(1(0(2(0(2(2(1(z0)))))))))), 0'(0(1(0(2(0(2(2(1(z0))))))))), 0'(1(0(2(0(2(2(1(z0)))))))), 1'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(1(1(1(0(2(2(1(1(1(0(2(2(z0)))))))))))))) -> c19(1'(2(1(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))))), 2'(1(0(1(1(1(2(2(1(2(0(0(1(z0))))))))))))), 1'(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))), 0'(1(1(1(2(2(1(2(0(0(1(z0))))))))))), 1'(1(1(2(2(1(2(0(0(1(z0)))))))))), 1'(1(2(2(1(2(0(0(1(z0))))))))), 1'(2(2(1(2(0(0(1(z0)))))))), 2'(2(1(2(0(0(1(z0))))))), 2'(1(2(0(0(1(z0)))))), 1'(2(0(0(1(z0))))), 2'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(1(2(2(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))) -> c20(1'(2(0(0(0(2(0(1(2(0(1(2(1(2(z0)))))))))))))), 2'(0(0(0(2(0(1(2(0(1(2(1(2(z0))))))))))))), 0'(0(0(2(0(1(2(0(1(2(1(2(z0)))))))))))), 0'(0(2(0(1(2(0(1(2(1(2(z0))))))))))), 0'(2(0(1(2(0(1(2(1(2(z0)))))))))), 2'(0(1(2(0(1(2(1(2(z0))))))))), 0'(1(2(0(1(2(1(2(z0)))))))), 1'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(0(0(2(1(2(0(1(2(1(2(2(2(1(0(z0))))))))))))))) -> c21(1'(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))))), 2'(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0))))))))))))))), 0'(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))), 1'(0(2(1(1(0(0(1(1(1(0(0(1(z0))))))))))))), 0'(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))), 2'(1(1(0(0(1(1(1(0(0(1(z0))))))))))), 1'(1(0(0(1(1(1(0(0(1(z0)))))))))), 1'(0(0(1(1(1(0(0(1(z0))))))))), 0'(0(1(1(1(0(0(1(z0)))))))), 0'(1(1(1(0(0(1(z0))))))), 1'(1(1(0(0(1(z0)))))), 1'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(0(1(0(0(1(2(0(1(2(1(2(2(0(0(z0))))))))))))))) -> c22(1'(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))))), 0'(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0))))))))))))))), 1'(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))), 2'(1(1(0(2(1(2(1(2(0(2(1(0(z0))))))))))))), 1'(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))), 1'(0(2(1(2(1(2(0(2(1(0(z0))))))))))), 0'(2(1(2(1(2(0(2(1(0(z0)))))))))), 2'(1(2(1(2(0(2(1(0(z0))))))))), 1'(2(1(2(0(2(1(0(z0)))))))), 2'(1(2(0(2(1(0(z0))))))), 1'(2(0(2(1(0(z0)))))), 2'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(z0)))))))))))))))) -> c23(1'(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))))), 2'(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0))))))))))))))))), 2'(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))), 1'(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0))))))))))))))), 1'(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))), 1'(1(1(0(2(1(2(0(0(0(0(1(2(z0))))))))))))), 1'(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))), 1'(0(2(1(2(0(0(0(0(1(2(z0))))))))))), 0'(2(1(2(0(0(0(0(1(2(z0)))))))))), 2'(1(2(0(0(0(0(1(2(z0))))))))), 1'(2(0(0(0(0(1(2(z0)))))))), 2'(0(0(0(0(1(2(z0))))))), 0'(0(0(0(1(2(z0)))))), 0'(0(0(1(2(z0))))), 0'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(z0))))))))))))))))) -> c24(0'(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))))), 1'(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))))))))), 1'(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))))))), 1'(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))), 2'(0(1(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))))), 0'(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(2(1(1(2(0(0(0(0(z0))))))))))), 1'(1(2(1(1(2(0(0(0(0(z0)))))))))), 1'(2(1(1(2(0(0(0(0(z0))))))))), 2'(1(1(2(0(0(0(0(z0)))))))), 1'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(z0)))))))))))))))))) -> c25(1'(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))), 1'(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0))))))))))))))))))))))), 2'(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))), 1'(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0))))))))))))))))))))), 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1'(0(2(1(2(1(2(2(1(0(z0)))))))))), 0'(2(1(2(1(2(2(1(0(z0))))))))), 2'(1(2(1(2(2(1(0(z0)))))))), 1'(2(1(2(2(1(0(z0))))))), 2'(1(2(2(1(0(z0)))))), 1'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(0(z0)) -> c46(1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(2(2(z0))) -> c47(1'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(1(0(0(z0)))) -> c48(0'(1(2(1(1(2(1(z0))))))), 1'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(0(0(0(0(1(0(z0))))))) -> c49(1'(0(1(0(1(2(0(1(1(2(1(1(0(z0))))))))))))), 0'(1(0(1(2(0(1(1(2(1(1(0(z0)))))))))))), 1'(0(1(2(0(1(1(2(1(1(0(z0))))))))))), 0'(1(2(0(1(1(2(1(1(0(z0)))))))))), 1'(2(0(1(1(2(1(1(0(z0))))))))), 2'(0(1(1(2(1(1(0(z0)))))))), 0'(1(1(2(1(1(0(z0))))))), 1'(1(2(1(1(0(z0)))))), 1'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(2(0(0(1(2(0(z0))))))) -> c50(0'(2(1(0(0(1(2(1(1(2(0(z0))))))))))), 2'(1(0(0(1(2(1(1(2(0(z0)))))))))), 1'(0(0(1(2(1(1(2(0(z0))))))))), 0'(0(1(2(1(1(2(0(z0)))))))), 0'(1(2(1(1(2(0(z0))))))), 1'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(2(2(2(0(1(2(z0))))))) -> c51(2'(2(2(0(2(1(2(z0))))))), 2'(2(0(2(1(2(z0)))))), 2'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(0(0(2(1(2(2(2(1(z0))))))))) -> c52(2'(1(2(2(1(1(2(0(1(2(1(0(0(1(z0)))))))))))))), 1'(2(2(1(1(2(0(1(2(1(0(0(1(z0))))))))))))), 2'(2(1(1(2(0(1(2(1(0(0(1(z0)))))))))))), 2'(1(1(2(0(1(2(1(0(0(1(z0))))))))))), 1'(1(2(0(1(2(1(0(0(1(z0)))))))))), 1'(2(0(1(2(1(0(0(1(z0))))))))), 2'(0(1(2(1(0(0(1(z0)))))))), 0'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 2'(1(0(1(2(0(1(2(0(z0))))))))) -> c53(1'(2(1(2(1(2(0(2(1(1(0(z0))))))))))), 2'(1(2(1(2(0(2(1(1(0(z0)))))))))), 1'(2(1(2(0(2(1(1(0(z0))))))))), 2'(1(2(0(2(1(1(0(z0)))))))), 1'(2(0(2(1(1(0(z0))))))), 2'(0(2(1(1(0(z0)))))), 0'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(1(2(0(0(0(1(2(2(0(z0)))))))))) -> c54(1'(2(1(1(0(2(1(2(0(1(0(1(1(z0))))))))))))), 2'(1(1(0(2(1(2(0(1(0(1(1(z0)))))))))))), 1'(1(0(2(1(2(0(1(0(1(1(z0))))))))))), 1'(0(2(1(2(0(1(0(1(1(z0)))))))))), 0'(2(1(2(0(1(0(1(1(z0))))))))), 2'(1(2(0(1(0(1(1(z0)))))))), 1'(2(0(1(0(1(1(z0))))))), 2'(0(1(0(1(1(z0)))))), 0'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(0(2(2(2(2(1(2(0(1(1(z0))))))))))) -> c55(2'(1(2(0(2(2(2(0(2(1(1(z0))))))))))), 1'(2(0(2(2(2(0(2(1(1(z0)))))))))), 2'(0(2(2(2(0(2(1(1(z0))))))))), 0'(2(2(2(0(2(1(1(z0)))))))), 2'(2(2(0(2(1(1(z0))))))), 2'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(1(0(2(0(0(1(2(2(1(2(z0))))))))))) -> c56(0'(0(1(1(1(1(0(1(0(1(1(0(z0)))))))))))), 0'(1(1(1(1(0(1(0(1(1(0(z0))))))))))), 1'(1(1(1(0(1(0(1(1(0(z0)))))))))), 1'(1(1(0(1(0(1(1(0(z0))))))))), 1'(1(0(1(0(1(1(0(z0)))))))), 1'(0(1(0(1(1(0(z0))))))), 0'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(2(2(2(1(1(1(2(2(0(0(z0))))))))))) -> c57(1'(1(1(0(1(0(0(1(1(2(0(2(1(z0))))))))))))), 1'(1(0(1(0(0(1(1(2(0(2(1(z0)))))))))))), 1'(0(1(0(0(1(1(2(0(2(1(z0))))))))))), 0'(1(0(0(1(1(2(0(2(1(z0)))))))))), 1'(0(0(1(1(2(0(2(1(z0))))))))), 0'(0(1(1(2(0(2(1(z0)))))))), 0'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(0(0(0(2(2(2(0(1(2(2(0(z0)))))))))))) -> c58(2'(0(2(0(1(2(1(0(0(0(0(1(0(z0))))))))))))), 0'(2(0(1(2(1(0(0(0(0(1(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(1(0(z0))))))))))), 0'(1(2(1(0(0(0(0(1(0(z0)))))))))), 1'(2(1(0(0(0(0(1(0(z0))))))))), 2'(1(0(0(0(0(1(0(z0)))))))), 1'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(2(0(0(0(1(1(2(2(0(2(1(2(z0))))))))))))) -> c59(1'(0(1(0(1(1(2(1(1(1(1(1(0(0(2(0(2(0(z0)))))))))))))))))), 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2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(2(0(2(2(1(0(1(0(2(2(2(2(1(2(0(z0)))))))))))))))) -> c62(1'(0(1(0(1(0(2(0(1(1(0(2(0(0(0(1(1(z0))))))))))))))))), 0'(1(0(1(0(2(0(1(1(0(2(0(0(0(1(1(z0)))))))))))))))), 1'(0(1(0(2(0(1(1(0(2(0(0(0(1(1(z0))))))))))))))), 0'(1(0(2(0(1(1(0(2(0(0(0(1(1(z0)))))))))))))), 1'(0(2(0(1(1(0(2(0(0(0(1(1(z0))))))))))))), 0'(2(0(1(1(0(2(0(0(0(1(1(z0)))))))))))), 2'(0(1(1(0(2(0(0(0(1(1(z0))))))))))), 0'(1(1(0(2(0(0(0(1(1(z0)))))))))), 1'(1(0(2(0(0(0(1(1(z0))))))))), 1'(0(2(0(0(0(1(1(z0)))))))), 0'(2(0(0(0(1(1(z0))))))), 2'(0(0(0(1(1(z0)))))), 0'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(2(0(2(2(2(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))) -> c63(0'(2(1(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0))))))))))))))))))), 2'(1(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0)))))))))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0))))))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0)))))))))))))))), 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2'(0(1(1(0(2(1(0(2(1(2(1(1(0(0(0(2(1(1(1(1(1(z0)))))))))))))))))))))) -> c75(2'(0(0(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))))))))), 0'(0(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0))))))))))))))))))))), 0'(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))))))), 0'(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0))))))))))))))))))), 0'(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))))), 0'(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0))))))))))))))))), 1'(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))), 2'(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0))))))))))))))), 1'(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))), 1'(1(1(1(2(1(1(0(1(2(2(1(1(z0))))))))))))), 1'(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))), 1'(1(2(1(1(0(1(2(2(1(1(z0))))))))))), 1'(2(1(1(0(1(2(2(1(1(z0)))))))))), 2'(1(1(0(1(2(2(1(1(z0))))))))), 1'(1(0(1(2(2(1(1(z0)))))))), 1'(0(1(2(2(1(1(z0))))))), 0'(1(2(2(1(1(z0)))))), 1'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(0(2(0(2(0(1(1(0(0(0(2(2(0(0(2(1(1(0(2(1(2(z0)))))))))))))))))))))) -> c76(0'(1(0(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))))))))), 1'(0(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))))))))))))), 0'(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))))))), 1'(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))), 2'(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))))))), 1'(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))))), 0'(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))), 1'(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))), 1'(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))), 0'(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))), 2'(1(1(0(1(0(0(1(1(0(1(z0))))))))))), 1'(1(0(1(0(0(1(1(0(1(z0)))))))))), 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0'(0(0(0(1(1(1(z0))))))), 0'(0(0(1(1(1(z0)))))), 0'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 1'(1(2(2(0(z0))))) -> c94(1'(1(1(2(2(1(z0)))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(0(2(2(2(1(z0)))))) -> c95(1'(1(1(0(1(1(0(1(z0)))))))), 1'(1(0(1(1(0(1(z0))))))), 1'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) 1'(2(2(2(2(2(1(0(z0)))))))) -> c96(1'(2(1(2(2(2(0(2(z0)))))))), 2'(1(2(2(2(0(2(z0))))))), 1'(2(2(2(0(2(z0)))))), 2'(2(2(0(2(z0))))), 2'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(1(2(0(1(1(0(0(2(z0))))))))) -> c97(0'(1(1(2(0(1(2(1(1(2(1(2(0(1(z0)))))))))))))), 1'(1(2(0(1(2(1(1(2(1(2(0(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(1(2(0(1(z0)))))))))))), 2'(0(1(2(1(1(2(1(2(0(1(z0))))))))))), 0'(1(2(1(1(2(1(2(0(1(z0)))))))))), 1'(2(1(1(2(1(2(0(1(z0))))))))), 2'(1(1(2(1(2(0(1(z0)))))))), 1'(1(2(1(2(0(1(z0))))))), 1'(2(1(2(0(1(z0)))))), 2'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0)) 1'(0(0(1(2(1(0(2(2(2(z0)))))))))) -> c98(1'(2(1(2(2(1(0(2(1(2(1(1(z0)))))))))))), 2'(1(2(2(1(0(2(1(2(1(1(z0))))))))))), 1'(2(2(1(0(2(1(2(1(1(z0)))))))))), 2'(2(1(0(2(1(2(1(1(z0))))))))), 2'(1(0(2(1(2(1(1(z0)))))))), 1'(0(2(1(2(1(1(z0))))))), 0'(2(1(2(1(1(z0)))))), 2'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 1'(2(0(2(0(2(0(0(2(0(z0)))))))))) -> c99(0'(0(1(1(0(0(2(0(1(1(1(z0))))))))))), 0'(1(1(0(0(2(0(1(1(1(z0)))))))))), 1'(1(0(0(2(0(1(1(1(z0))))))))), 1'(0(0(2(0(1(1(1(z0)))))))), 0'(0(2(0(1(1(1(z0))))))), 0'(2(0(1(1(1(z0)))))), 2'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 1'(2(1(0(0(0(2(2(2(2(0(z0))))))))))) -> c100(1'(1(2(0(0(2(2(1(2(1(0(0(2(1(z0)))))))))))))), 1'(2(0(0(2(2(1(2(1(0(0(2(1(z0))))))))))))), 2'(0(0(2(2(1(2(1(0(0(2(1(z0)))))))))))), 0'(0(2(2(1(2(1(0(0(2(1(z0))))))))))), 0'(2(2(1(2(1(0(0(2(1(z0)))))))))), 2'(2(1(2(1(0(0(2(1(z0))))))))), 2'(1(2(1(0(0(2(1(z0)))))))), 1'(2(1(0(0(2(1(z0))))))), 2'(1(0(0(2(1(z0)))))), 1'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(2(2(0(0(0(0(0(1(0(2(z0))))))))))) -> c101(1'(0(1(2(0(0(1(1(2(1(1(2(z0)))))))))))), 0'(1(2(0(0(1(1(2(1(1(2(z0))))))))))), 1'(2(0(0(1(1(2(1(1(2(z0)))))))))), 2'(0(0(1(1(2(1(1(2(z0))))))))), 0'(0(1(1(2(1(1(2(z0)))))))), 0'(1(1(2(1(1(2(z0))))))), 1'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(0(0(1(1(0(0(1(1(0(2(0(z0)))))))))))) -> c102(1'(1(1(2(0(0(0(1(1(0(0(0(z0)))))))))))), 1'(1(2(0(0(0(1(1(0(0(0(z0))))))))))), 1'(2(0(0(0(1(1(0(0(0(z0)))))))))), 2'(0(0(0(1(1(0(0(0(z0))))))))), 0'(0(0(1(1(0(0(0(z0)))))))), 0'(0(1(1(0(0(0(z0))))))), 0'(1(1(0(0(0(z0)))))), 1'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(0(2(0(0(1(0(2(0(0(1(2(z0)))))))))))) -> c103(0'(0(0(1(2(1(1(2(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(1(2(0(2(0(0(z0))))))))))), 0'(1(2(1(1(2(0(2(0(0(z0)))))))))), 1'(2(1(1(2(0(2(0(0(z0))))))))), 2'(1(1(2(0(2(0(0(z0)))))))), 1'(1(2(0(2(0(0(z0))))))), 1'(2(0(2(0(0(z0)))))), 2'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(0(2(2(1(0(0(1(1(1(0(1(1(2(2(0(z0)))))))))))))))) -> c104(1'(2(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))))))), 2'(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))))), 2'(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0)))))))))))))))))), 0'(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))), 1'(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))), 0'(2(0(0(0(1(2(1(2(0(2(1(2(0(z0)))))))))))))), 2'(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))), 0'(0(0(1(2(1(2(0(2(1(2(0(z0)))))))))))), 0'(0(1(2(1(2(0(2(1(2(0(z0))))))))))), 0'(1(2(1(2(0(2(1(2(0(z0)))))))))), 1'(2(1(2(0(2(1(2(0(z0))))))))), 2'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 2'(0(2(1(2(0(z0)))))), 0'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 1'(1(0(0(0(0(0(0(0(2(2(2(2(1(0(0(1(z0))))))))))))))))) -> c105(1'(2(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))))))), 2'(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0)))))))))))))))))))), 1'(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))))), 0'(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0)))))))))))))))))), 2'(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(1(1(1(0(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))), 0'(1(1(1(0(1(1(2(1(0(0(1(z0)))))))))))), 1'(1(1(0(1(1(2(1(0(0(1(z0))))))))))), 1'(1(0(1(1(2(1(0(0(1(z0)))))))))), 1'(0(1(1(2(1(0(0(1(z0))))))))), 0'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 1'(1(0(0(1(2(0(2(0(0(1(2(0(2(2(2(2(z0))))))))))))))))) -> c106(1'(2(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))))))), 2'(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0))))))))))))))))), 1'(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))))), 2'(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0))))))))))))))), 0'(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))), 2'(0(2(0(1(0(1(2(1(0(1(0(2(z0))))))))))))), 0'(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))), 2'(0(1(0(1(2(1(0(1(0(2(z0))))))))))), 0'(1(0(1(2(1(0(1(0(2(z0)))))))))), 1'(0(1(2(1(0(1(0(2(z0))))))))), 0'(1(2(1(0(1(0(2(z0)))))))), 1'(2(1(0(1(0(2(z0))))))), 2'(1(0(1(0(2(z0)))))), 1'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(2(2(0(0(1(1(2(2(0(0(2(1(1(0(2(0(1(2(2(z0)))))))))))))))))))) -> c107(0'(1(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))))))), 1'(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))))))))))))), 1'(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))))), 1'(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))))))))))), 0'(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))), 0'(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))))))))), 0'(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))), 2'(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))))))), 2'(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))), 0'(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))))), 2'(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))), 1'(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))), 0'(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))), 1'(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))), 1'(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))), 1'(0(2(1(0(1(1(1(1(2(0(z0))))))))))), 0'(2(1(0(1(1(1(1(2(0(z0)))))))))), 2'(1(0(1(1(1(1(2(0(z0))))))))), 1'(0(1(1(1(1(2(0(z0)))))))), 0'(1(1(1(1(2(0(z0))))))), 1'(1(1(1(2(0(z0)))))), 1'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 1'(0(0(0(1(1(2(2(0(2(1(1(1(0(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> c108(1'(1(2(1(1(2(1(2(1(1(2(1(0(0(0(2(0(2(1(2(1(0(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))), 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1'(0(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))))))))))))), 0'(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))))))), 0'(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))))))))))), 0'(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))))), 0'(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))))))))), 2'(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))), 1'(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))))))), 2'(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))), 2'(1(0(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))))), 1'(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))), 0'(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))), 1'(0(1(0(1(2(0(2(1(2(1(z0))))))))))), 0'(1(0(1(2(0(2(1(2(1(z0)))))))))), 1'(0(1(2(0(2(1(2(1(z0))))))))), 0'(1(2(0(2(1(2(1(z0)))))))), 1'(2(0(2(1(2(1(z0))))))), 2'(0(2(1(2(1(z0)))))), 0'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(1(2(2(0(2(0(1(1(1(0(0(2(0(2(0(2(1(0(2(1(2(2(0(0(1(0(0(z0)))))))))))))))))))))))))))) -> c115(1'(2(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))))), 1'(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))))), 0'(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))), 2'(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))), 2'(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))))))))), 1'(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))), 0'(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))), 0'(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))))), 1'(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))), 2'(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))), 1'(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))), 1'(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))), 0'(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))), 0'(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))), 2'(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))), 0'(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))), 2'(0(0(1(1(2(2(1(1(1(0(z0))))))))))), 0'(0(1(1(2(2(1(1(1(0(z0)))))))))), 0'(1(1(2(2(1(1(1(0(z0))))))))), 1'(1(2(2(1(1(1(0(z0)))))))), 1'(2(2(1(1(1(0(z0))))))), 2'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) S tuples: 0'(0(z0)) -> c6(1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(2(z0)) -> c7(1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(0(1(0(0(z0))))) -> c8(1'(2(0(1(1(1(z0)))))), 2'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(0(0(0(0(1(z0)))))) -> c9(1'(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))))), 2'(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))))))))), 0'(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))), 2'(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))))))), 1'(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))), 1'(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))), 2'(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))), 1'(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))), 1'(1(0(1(2(1(2(1(0(0(1(z0))))))))))), 1'(0(1(2(1(2(1(0(0(1(z0)))))))))), 0'(1(2(1(2(1(0(0(1(z0))))))))), 1'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(0(2(2(0(0(z0)))))) -> c10(1'(2(2(0(1(2(1(1(1(z0))))))))), 2'(2(0(1(2(1(1(1(z0)))))))), 2'(0(1(2(1(1(1(z0))))))), 0'(1(2(1(1(1(z0)))))), 1'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(1'(1(2(0(1(2(1(1(2(1(z0)))))))))), 1'(2(0(1(2(1(1(2(1(z0))))))))), 2'(0(1(2(1(1(2(1(z0)))))))), 0'(1(2(1(1(2(1(z0))))))), 1'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(0(0(2(2(2(1(0(0(z0))))))))) -> c12(1'(1(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))))))), 1'(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0)))))))))))))))))), 2'(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))))), 0'(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0)))))))))))))))), 1'(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))), 1'(0(2(0(2(1(2(1(2(1(2(1(2(1(z0)))))))))))))), 0'(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))), 2'(0(2(1(2(1(2(1(2(1(2(1(z0)))))))))))), 0'(2(1(2(1(2(1(2(1(2(1(z0))))))))))), 2'(1(2(1(2(1(2(1(2(1(z0)))))))))), 1'(2(1(2(1(2(1(2(1(z0))))))))), 2'(1(2(1(2(1(2(1(z0)))))))), 1'(2(1(2(1(2(1(z0))))))), 2'(1(2(1(2(1(z0)))))), 1'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(0(0(2(0(2(0(2(z0))))))))) -> c13(1'(0(0(1(1(1(1(2(2(0(0(2(z0)))))))))))), 0'(0(1(1(1(1(2(2(0(0(2(z0))))))))))), 0'(1(1(1(1(2(2(0(0(2(z0)))))))))), 1'(1(1(1(2(2(0(0(2(z0))))))))), 1'(1(1(2(2(0(0(2(z0)))))))), 1'(1(2(2(0(0(2(z0))))))), 1'(2(2(0(0(2(z0)))))), 2'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0)) 0'(0(0(2(2(0(0(2(0(0(z0)))))))))) -> c14(1'(1(2(2(0(0(0(0(1(1(2(z0))))))))))), 1'(2(2(0(0(0(0(1(1(2(z0)))))))))), 2'(2(0(0(0(0(1(1(2(z0))))))))), 2'(0(0(0(0(1(1(2(z0)))))))), 0'(0(0(0(1(1(2(z0))))))), 0'(0(0(1(1(2(z0)))))), 0'(0(1(1(2(z0))))), 0'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(1(0(2(2(2(1(0(0(z0)))))))))) -> c15(0'(2(1(1(2(2(0(1(1(2(1(2(z0)))))))))))), 2'(1(1(2(2(0(1(1(2(1(2(z0))))))))))), 1'(1(2(2(0(1(1(2(1(2(z0)))))))))), 1'(2(2(0(1(1(2(1(2(z0))))))))), 2'(2(0(1(1(2(1(2(z0)))))))), 2'(0(1(1(2(1(2(z0))))))), 0'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(1(2(1(0(0(1(0(2(1(1(z0))))))))))) -> c16(1'(1(0(0(0(1(2(0(1(2(1(z0))))))))))), 1'(0(0(0(1(2(0(1(2(1(z0)))))))))), 0'(0(0(1(2(0(1(2(1(z0))))))))), 0'(0(1(2(0(1(2(1(z0)))))))), 0'(1(2(0(1(2(1(z0))))))), 1'(2(0(1(2(1(z0)))))), 2'(0(1(2(1(z0))))), 0'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(2(1(0(0(1(0(1(0(2(0(z0))))))))))) -> c17(1'(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))))), 0'(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0)))))))))))))))), 1'(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))), 1'(0(1(2(0(1(2(1(1(0(1(1(2(0(z0)))))))))))))), 0'(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))), 1'(2(0(1(2(1(1(0(1(1(2(0(z0)))))))))))), 2'(0(1(2(1(1(0(1(1(2(0(z0))))))))))), 0'(1(2(1(1(0(1(1(2(0(z0)))))))))), 1'(2(1(1(0(1(1(2(0(z0))))))))), 2'(1(1(0(1(1(2(0(z0)))))))), 1'(1(0(1(1(2(0(z0))))))), 1'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(0(2(2(2(1(0(1(0(2(0(2(z0)))))))))))) -> c18(1'(1(1(2(0(0(0(1(0(2(0(2(2(1(z0)))))))))))))), 1'(1(2(0(0(0(1(0(2(0(2(2(1(z0))))))))))))), 1'(2(0(0(0(1(0(2(0(2(2(1(z0)))))))))))), 2'(0(0(0(1(0(2(0(2(2(1(z0))))))))))), 0'(0(0(1(0(2(0(2(2(1(z0)))))))))), 0'(0(1(0(2(0(2(2(1(z0))))))))), 0'(1(0(2(0(2(2(1(z0)))))))), 1'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(1(1(1(1(0(2(2(1(1(1(0(2(2(z0)))))))))))))) -> c19(1'(2(1(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))))), 2'(1(0(1(1(1(2(2(1(2(0(0(1(z0))))))))))))), 1'(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))), 0'(1(1(1(2(2(1(2(0(0(1(z0))))))))))), 1'(1(1(2(2(1(2(0(0(1(z0)))))))))), 1'(1(2(2(1(2(0(0(1(z0))))))))), 1'(2(2(1(2(0(0(1(z0)))))))), 2'(2(1(2(0(0(1(z0))))))), 2'(1(2(0(0(1(z0)))))), 1'(2(0(0(1(z0))))), 2'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(1(2(2(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))) -> c20(1'(2(0(0(0(2(0(1(2(0(1(2(1(2(z0)))))))))))))), 2'(0(0(0(2(0(1(2(0(1(2(1(2(z0))))))))))))), 0'(0(0(2(0(1(2(0(1(2(1(2(z0)))))))))))), 0'(0(2(0(1(2(0(1(2(1(2(z0))))))))))), 0'(2(0(1(2(0(1(2(1(2(z0)))))))))), 2'(0(1(2(0(1(2(1(2(z0))))))))), 0'(1(2(0(1(2(1(2(z0)))))))), 1'(2(0(1(2(1(2(z0))))))), 2'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(0(0(2(1(2(0(1(2(1(2(2(2(1(0(z0))))))))))))))) -> c21(1'(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))))), 2'(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0))))))))))))))), 0'(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))), 1'(0(2(1(1(0(0(1(1(1(0(0(1(z0))))))))))))), 0'(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))), 2'(1(1(0(0(1(1(1(0(0(1(z0))))))))))), 1'(1(0(0(1(1(1(0(0(1(z0)))))))))), 1'(0(0(1(1(1(0(0(1(z0))))))))), 0'(0(1(1(1(0(0(1(z0)))))))), 0'(1(1(1(0(0(1(z0))))))), 1'(1(1(0(0(1(z0)))))), 1'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(0(1(0(0(1(2(0(1(2(1(2(2(0(0(z0))))))))))))))) -> c22(1'(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))))), 0'(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0))))))))))))))), 1'(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))), 2'(1(1(0(2(1(2(1(2(0(2(1(0(z0))))))))))))), 1'(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))), 1'(0(2(1(2(1(2(0(2(1(0(z0))))))))))), 0'(2(1(2(1(2(0(2(1(0(z0)))))))))), 2'(1(2(1(2(0(2(1(0(z0))))))))), 1'(2(1(2(0(2(1(0(z0)))))))), 2'(1(2(0(2(1(0(z0))))))), 1'(2(0(2(1(0(z0)))))), 2'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(z0)))))))))))))))) -> c23(1'(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))))), 2'(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0))))))))))))))))), 2'(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))), 1'(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0))))))))))))))), 1'(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))), 1'(1(1(0(2(1(2(0(0(0(0(1(2(z0))))))))))))), 1'(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))), 1'(0(2(1(2(0(0(0(0(1(2(z0))))))))))), 0'(2(1(2(0(0(0(0(1(2(z0)))))))))), 2'(1(2(0(0(0(0(1(2(z0))))))))), 1'(2(0(0(0(0(1(2(z0)))))))), 2'(0(0(0(0(1(2(z0))))))), 0'(0(0(0(1(2(z0)))))), 0'(0(0(1(2(z0))))), 0'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(z0))))))))))))))))) -> c24(0'(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))))), 1'(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))))))))), 1'(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))))))), 1'(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))), 2'(0(1(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))))), 0'(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(2(1(1(2(0(0(0(0(z0))))))))))), 1'(1(2(1(1(2(0(0(0(0(z0)))))))))), 1'(2(1(1(2(0(0(0(0(z0))))))))), 2'(1(1(2(0(0(0(0(z0)))))))), 1'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(z0)))))))))))))))))) -> c25(1'(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))), 1'(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0))))))))))))))))))))))), 2'(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))), 1'(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0))))))))))))))))))))), 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1'(0(2(1(2(1(2(2(1(0(z0)))))))))), 0'(2(1(2(1(2(2(1(0(z0))))))))), 2'(1(2(1(2(2(1(0(z0)))))))), 1'(2(1(2(2(1(0(z0))))))), 2'(1(2(2(1(0(z0)))))), 1'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(0(z0)) -> c46(1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(2(2(z0))) -> c47(1'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(1(0(0(z0)))) -> c48(0'(1(2(1(1(2(1(z0))))))), 1'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(0(0(0(0(1(0(z0))))))) -> c49(1'(0(1(0(1(2(0(1(1(2(1(1(0(z0))))))))))))), 0'(1(0(1(2(0(1(1(2(1(1(0(z0)))))))))))), 1'(0(1(2(0(1(1(2(1(1(0(z0))))))))))), 0'(1(2(0(1(1(2(1(1(0(z0)))))))))), 1'(2(0(1(1(2(1(1(0(z0))))))))), 2'(0(1(1(2(1(1(0(z0)))))))), 0'(1(1(2(1(1(0(z0))))))), 1'(1(2(1(1(0(z0)))))), 1'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(2(0(0(1(2(0(z0))))))) -> c50(0'(2(1(0(0(1(2(1(1(2(0(z0))))))))))), 2'(1(0(0(1(2(1(1(2(0(z0)))))))))), 1'(0(0(1(2(1(1(2(0(z0))))))))), 0'(0(1(2(1(1(2(0(z0)))))))), 0'(1(2(1(1(2(0(z0))))))), 1'(2(1(1(2(0(z0)))))), 2'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 2'(2(2(2(0(1(2(z0))))))) -> c51(2'(2(2(0(2(1(2(z0))))))), 2'(2(0(2(1(2(z0)))))), 2'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0)) 2'(0(0(2(1(2(2(2(1(z0))))))))) -> c52(2'(1(2(2(1(1(2(0(1(2(1(0(0(1(z0)))))))))))))), 1'(2(2(1(1(2(0(1(2(1(0(0(1(z0))))))))))))), 2'(2(1(1(2(0(1(2(1(0(0(1(z0)))))))))))), 2'(1(1(2(0(1(2(1(0(0(1(z0))))))))))), 1'(1(2(0(1(2(1(0(0(1(z0)))))))))), 1'(2(0(1(2(1(0(0(1(z0))))))))), 2'(0(1(2(1(0(0(1(z0)))))))), 0'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 2'(1(0(1(2(0(1(2(0(z0))))))))) -> c53(1'(2(1(2(1(2(0(2(1(1(0(z0))))))))))), 2'(1(2(1(2(0(2(1(1(0(z0)))))))))), 1'(2(1(2(0(2(1(1(0(z0))))))))), 2'(1(2(0(2(1(1(0(z0)))))))), 1'(2(0(2(1(1(0(z0))))))), 2'(0(2(1(1(0(z0)))))), 0'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(1(2(0(0(0(1(2(2(0(z0)))))))))) -> c54(1'(2(1(1(0(2(1(2(0(1(0(1(1(z0))))))))))))), 2'(1(1(0(2(1(2(0(1(0(1(1(z0)))))))))))), 1'(1(0(2(1(2(0(1(0(1(1(z0))))))))))), 1'(0(2(1(2(0(1(0(1(1(z0)))))))))), 0'(2(1(2(0(1(0(1(1(z0))))))))), 2'(1(2(0(1(0(1(1(z0)))))))), 1'(2(0(1(0(1(1(z0))))))), 2'(0(1(0(1(1(z0)))))), 0'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(0(2(2(2(2(1(2(0(1(1(z0))))))))))) -> c55(2'(1(2(0(2(2(2(0(2(1(1(z0))))))))))), 1'(2(0(2(2(2(0(2(1(1(z0)))))))))), 2'(0(2(2(2(0(2(1(1(z0))))))))), 0'(2(2(2(0(2(1(1(z0)))))))), 2'(2(2(0(2(1(1(z0))))))), 2'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(1(0(2(0(0(1(2(2(1(2(z0))))))))))) -> c56(0'(0(1(1(1(1(0(1(0(1(1(0(z0)))))))))))), 0'(1(1(1(1(0(1(0(1(1(0(z0))))))))))), 1'(1(1(1(0(1(0(1(1(0(z0)))))))))), 1'(1(1(0(1(0(1(1(0(z0))))))))), 1'(1(0(1(0(1(1(0(z0)))))))), 1'(0(1(0(1(1(0(z0))))))), 0'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(2(2(2(1(1(1(2(2(0(0(z0))))))))))) -> c57(1'(1(1(0(1(0(0(1(1(2(0(2(1(z0))))))))))))), 1'(1(0(1(0(0(1(1(2(0(2(1(z0)))))))))))), 1'(0(1(0(0(1(1(2(0(2(1(z0))))))))))), 0'(1(0(0(1(1(2(0(2(1(z0)))))))))), 1'(0(0(1(1(2(0(2(1(z0))))))))), 0'(0(1(1(2(0(2(1(z0)))))))), 0'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(0(0(0(2(2(2(0(1(2(2(0(z0)))))))))))) -> c58(2'(0(2(0(1(2(1(0(0(0(0(1(0(z0))))))))))))), 0'(2(0(1(2(1(0(0(0(0(1(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(1(0(z0))))))))))), 0'(1(2(1(0(0(0(0(1(0(z0)))))))))), 1'(2(1(0(0(0(0(1(0(z0))))))))), 2'(1(0(0(0(0(1(0(z0)))))))), 1'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(2(0(0(0(1(1(2(2(0(2(1(2(z0))))))))))))) -> c59(1'(0(1(0(1(1(2(1(1(1(1(1(0(0(2(0(2(0(z0)))))))))))))))))), 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2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) 2'(2(0(2(2(1(0(1(0(2(2(2(2(1(2(0(z0)))))))))))))))) -> c62(1'(0(1(0(1(0(2(0(1(1(0(2(0(0(0(1(1(z0))))))))))))))))), 0'(1(0(1(0(2(0(1(1(0(2(0(0(0(1(1(z0)))))))))))))))), 1'(0(1(0(2(0(1(1(0(2(0(0(0(1(1(z0))))))))))))))), 0'(1(0(2(0(1(1(0(2(0(0(0(1(1(z0)))))))))))))), 1'(0(2(0(1(1(0(2(0(0(0(1(1(z0))))))))))))), 0'(2(0(1(1(0(2(0(0(0(1(1(z0)))))))))))), 2'(0(1(1(0(2(0(0(0(1(1(z0))))))))))), 0'(1(1(0(2(0(0(0(1(1(z0)))))))))), 1'(1(0(2(0(0(0(1(1(z0))))))))), 1'(0(2(0(0(0(1(1(z0)))))))), 0'(2(0(0(0(1(1(z0))))))), 2'(0(0(0(1(1(z0)))))), 0'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(2(0(2(2(2(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))) -> c63(0'(2(1(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0))))))))))))))))))), 2'(1(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0)))))))))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0))))))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0)))))))))))))))), 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2'(0(1(1(0(2(1(0(2(1(2(1(1(0(0(0(2(1(1(1(1(1(z0)))))))))))))))))))))) -> c75(2'(0(0(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))))))))), 0'(0(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0))))))))))))))))))))), 0'(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))))))), 0'(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0))))))))))))))))))), 0'(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))))), 0'(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0))))))))))))))))), 1'(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))), 2'(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0))))))))))))))), 1'(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))), 1'(1(1(1(2(1(1(0(1(2(2(1(1(z0))))))))))))), 1'(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))), 1'(1(2(1(1(0(1(2(2(1(1(z0))))))))))), 1'(2(1(1(0(1(2(2(1(1(z0)))))))))), 2'(1(1(0(1(2(2(1(1(z0))))))))), 1'(1(0(1(2(2(1(1(z0)))))))), 1'(0(1(2(2(1(1(z0))))))), 0'(1(2(2(1(1(z0)))))), 1'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(0(2(0(2(0(1(1(0(0(0(2(2(0(0(2(1(1(0(2(1(2(z0)))))))))))))))))))))) -> c76(0'(1(0(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))))))))), 1'(0(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))))))))))))), 0'(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))))))), 1'(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))), 2'(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))))))), 1'(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))), 0'(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))))), 0'(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))), 1'(1(0(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))))), 1'(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))), 0'(2(1(1(0(1(0(0(1(1(0(1(z0)))))))))))), 2'(1(1(0(1(0(0(1(1(0(1(z0))))))))))), 1'(1(0(1(0(0(1(1(0(1(z0)))))))))), 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0'(0(0(0(1(1(1(z0))))))), 0'(0(0(1(1(1(z0)))))), 0'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 1'(1(2(2(0(z0))))) -> c94(1'(1(1(2(2(1(z0)))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(0(2(2(2(1(z0)))))) -> c95(1'(1(1(0(1(1(0(1(z0)))))))), 1'(1(0(1(1(0(1(z0))))))), 1'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) 1'(2(2(2(2(2(1(0(z0)))))))) -> c96(1'(2(1(2(2(2(0(2(z0)))))))), 2'(1(2(2(2(0(2(z0))))))), 1'(2(2(2(0(2(z0)))))), 2'(2(2(0(2(z0))))), 2'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(1(2(0(1(1(0(0(2(z0))))))))) -> c97(0'(1(1(2(0(1(2(1(1(2(1(2(0(1(z0)))))))))))))), 1'(1(2(0(1(2(1(1(2(1(2(0(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(1(2(0(1(z0)))))))))))), 2'(0(1(2(1(1(2(1(2(0(1(z0))))))))))), 0'(1(2(1(1(2(1(2(0(1(z0)))))))))), 1'(2(1(1(2(1(2(0(1(z0))))))))), 2'(1(1(2(1(2(0(1(z0)))))))), 1'(1(2(1(2(0(1(z0))))))), 1'(2(1(2(0(1(z0)))))), 2'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0)) 1'(0(0(1(2(1(0(2(2(2(z0)))))))))) -> c98(1'(2(1(2(2(1(0(2(1(2(1(1(z0)))))))))))), 2'(1(2(2(1(0(2(1(2(1(1(z0))))))))))), 1'(2(2(1(0(2(1(2(1(1(z0)))))))))), 2'(2(1(0(2(1(2(1(1(z0))))))))), 2'(1(0(2(1(2(1(1(z0)))))))), 1'(0(2(1(2(1(1(z0))))))), 0'(2(1(2(1(1(z0)))))), 2'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 1'(2(0(2(0(2(0(0(2(0(z0)))))))))) -> c99(0'(0(1(1(0(0(2(0(1(1(1(z0))))))))))), 0'(1(1(0(0(2(0(1(1(1(z0)))))))))), 1'(1(0(0(2(0(1(1(1(z0))))))))), 1'(0(0(2(0(1(1(1(z0)))))))), 0'(0(2(0(1(1(1(z0))))))), 0'(2(0(1(1(1(z0)))))), 2'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 1'(2(1(0(0(0(2(2(2(2(0(z0))))))))))) -> c100(1'(1(2(0(0(2(2(1(2(1(0(0(2(1(z0)))))))))))))), 1'(2(0(0(2(2(1(2(1(0(0(2(1(z0))))))))))))), 2'(0(0(2(2(1(2(1(0(0(2(1(z0)))))))))))), 0'(0(2(2(1(2(1(0(0(2(1(z0))))))))))), 0'(2(2(1(2(1(0(0(2(1(z0)))))))))), 2'(2(1(2(1(0(0(2(1(z0))))))))), 2'(1(2(1(0(0(2(1(z0)))))))), 1'(2(1(0(0(2(1(z0))))))), 2'(1(0(0(2(1(z0)))))), 1'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(2(2(0(0(0(0(0(1(0(2(z0))))))))))) -> c101(1'(0(1(2(0(0(1(1(2(1(1(2(z0)))))))))))), 0'(1(2(0(0(1(1(2(1(1(2(z0))))))))))), 1'(2(0(0(1(1(2(1(1(2(z0)))))))))), 2'(0(0(1(1(2(1(1(2(z0))))))))), 0'(0(1(1(2(1(1(2(z0)))))))), 0'(1(1(2(1(1(2(z0))))))), 1'(1(2(1(1(2(z0)))))), 1'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 1'(0(0(1(1(0(0(1(1(0(2(0(z0)))))))))))) -> c102(1'(1(1(2(0(0(0(1(1(0(0(0(z0)))))))))))), 1'(1(2(0(0(0(1(1(0(0(0(z0))))))))))), 1'(2(0(0(0(1(1(0(0(0(z0)))))))))), 2'(0(0(0(1(1(0(0(0(z0))))))))), 0'(0(0(1(1(0(0(0(z0)))))))), 0'(0(1(1(0(0(0(z0))))))), 0'(1(1(0(0(0(z0)))))), 1'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(0(2(0(0(1(0(2(0(0(1(2(z0)))))))))))) -> c103(0'(0(0(1(2(1(1(2(0(2(0(0(z0)))))))))))), 0'(0(1(2(1(1(2(0(2(0(0(z0))))))))))), 0'(1(2(1(1(2(0(2(0(0(z0)))))))))), 1'(2(1(1(2(0(2(0(0(z0))))))))), 2'(1(1(2(0(2(0(0(z0)))))))), 1'(1(2(0(2(0(0(z0))))))), 1'(2(0(2(0(0(z0)))))), 2'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) 1'(0(2(2(1(0(0(1(1(1(0(1(1(2(2(0(z0)))))))))))))))) -> c104(1'(2(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))))))), 2'(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))))), 2'(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0)))))))))))))))))), 0'(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))), 1'(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))), 0'(2(0(0(0(1(2(1(2(0(2(1(2(0(z0)))))))))))))), 2'(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))), 0'(0(0(1(2(1(2(0(2(1(2(0(z0)))))))))))), 0'(0(1(2(1(2(0(2(1(2(0(z0))))))))))), 0'(1(2(1(2(0(2(1(2(0(z0)))))))))), 1'(2(1(2(0(2(1(2(0(z0))))))))), 2'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 2'(0(2(1(2(0(z0)))))), 0'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 1'(1(0(0(0(0(0(0(0(2(2(2(2(1(0(0(1(z0))))))))))))))))) -> c105(1'(2(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))))))), 2'(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0)))))))))))))))))))), 1'(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))))), 0'(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0)))))))))))))))))), 2'(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))), 0'(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0)))))))))))))))), 0'(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))), 2'(0(0(1(1(1(0(1(1(2(1(0(0(1(z0)))))))))))))), 0'(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))), 0'(1(1(1(0(1(1(2(1(0(0(1(z0)))))))))))), 1'(1(1(0(1(1(2(1(0(0(1(z0))))))))))), 1'(1(0(1(1(2(1(0(0(1(z0)))))))))), 1'(0(1(1(2(1(0(0(1(z0))))))))), 0'(1(1(2(1(0(0(1(z0)))))))), 1'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 1'(1(0(0(1(2(0(2(0(0(1(2(0(2(2(2(2(z0))))))))))))))))) -> c106(1'(2(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))))))), 2'(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0))))))))))))))))), 1'(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))))), 2'(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0))))))))))))))), 0'(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))), 2'(0(2(0(1(0(1(2(1(0(1(0(2(z0))))))))))))), 0'(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))), 2'(0(1(0(1(2(1(0(1(0(2(z0))))))))))), 0'(1(0(1(2(1(0(1(0(2(z0)))))))))), 1'(0(1(2(1(0(1(0(2(z0))))))))), 0'(1(2(1(0(1(0(2(z0)))))))), 1'(2(1(0(1(0(2(z0))))))), 2'(1(0(1(0(2(z0)))))), 1'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0)) 1'(2(2(0(0(1(1(2(2(0(0(2(1(1(0(2(0(1(2(2(z0)))))))))))))))))))) -> c107(0'(1(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))))))), 1'(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))))))))))))), 1'(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))))), 1'(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))))))))))), 0'(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))), 0'(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))))))))), 0'(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))), 2'(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))))))), 2'(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))), 0'(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))))), 2'(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))), 1'(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))))), 0'(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))), 1'(1(1(0(2(1(0(1(1(1(1(2(0(z0))))))))))))), 1'(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))), 1'(0(2(1(0(1(1(1(1(2(0(z0))))))))))), 0'(2(1(0(1(1(1(1(2(0(z0)))))))))), 2'(1(0(1(1(1(1(2(0(z0))))))))), 1'(0(1(1(1(1(2(0(z0)))))))), 0'(1(1(1(1(2(0(z0))))))), 1'(1(1(1(2(0(z0)))))), 1'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 1'(0(0(0(1(1(2(2(0(2(1(1(1(0(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> c108(1'(1(2(1(1(2(1(2(1(1(2(1(0(0(0(2(0(2(1(2(1(0(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))), 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1'(0(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))))))))))))), 0'(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))))))), 0'(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))))))))))), 0'(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))))), 0'(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))))))))), 2'(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))), 1'(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))))))), 2'(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))), 2'(1(0(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))))), 1'(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))), 0'(1(0(1(0(1(2(0(2(1(2(1(z0)))))))))))), 1'(0(1(0(1(2(0(2(1(2(1(z0))))))))))), 0'(1(0(1(2(0(2(1(2(1(z0)))))))))), 1'(0(1(2(0(2(1(2(1(z0))))))))), 0'(1(2(0(2(1(2(1(z0)))))))), 1'(2(0(2(1(2(1(z0))))))), 2'(0(2(1(2(1(z0)))))), 0'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 1'(1(2(2(0(2(0(1(1(1(0(0(2(0(2(0(2(1(0(2(1(2(2(0(0(1(0(0(z0)))))))))))))))))))))))))))) -> c115(1'(2(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))))), 1'(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))))), 0'(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))))))))))), 2'(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))), 2'(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))))))))), 1'(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))), 0'(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))), 0'(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))))), 1'(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))), 2'(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))))), 1'(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))))), 1'(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))), 0'(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))))), 0'(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))), 2'(0(2(0(0(1(1(2(2(1(1(1(0(z0))))))))))))), 0'(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))), 2'(0(0(1(1(2(2(1(1(1(0(z0))))))))))), 0'(0(1(1(2(2(1(1(1(0(z0)))))))))), 0'(1(1(2(2(1(1(1(0(z0))))))))), 1'(1(2(2(1(1(1(0(z0)))))))), 1'(2(2(1(1(1(0(z0))))))), 2'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) K tuples:none Defined Rule Symbols: 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, 0'_1, 2'_1, 1'_1 Compound Symbols: c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_3, c7_3, c8_6, c9_21, c10_9, c11_10, c12_19, c13_12, c14_11, c15_12, c16_11, c17_17, c18_14, c19_14, c20_14, c21_16, c22_16, c23_18, c24_19, c25_24, c26_23, c27_20, c28_29, c29_21, c30_27, c31_21, c32_26, c33_26, c34_25, c35_24, c36_29, c37_24, c38_25, c39_30, c40_28, c41_28, c42_26, c43_29, c44_30, c45_30, c46_3, c47_7, c48_7, c49_13, c50_11, c51_7, c52_14, c53_11, c54_13, c55_11, c56_12, c57_13, c58_13, c59_18, c60_22, c61_17, c62_17, c63_19, c64_24, c65_17, c66_23, c67_20, c68_25, c69_28, c70_21, c71_26, c72_21, c73_23, c74_24, c75_22, c76_25, c77_28, c78_22, c79_25, c80_25, c81_28, c82_28, c83_25, c84_26, c85_26, c86_26, c87_28, c88_29, c89_27, c90_27, c91_29, c92_29, c93_30, c94_6, c95_8, c96_8, c97_14, c98_12, c99_11, c100_14, c101_12, c102_12, c103_12, c104_21, c105_21, c106_18, c107_26, c108_29, c109_23, c110_28, c111_27, c112_26, c113_29, c114_29, c115_30 ---------------------------------------- (7) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 103 leading nodes: 0'(0(0(0(0(1(z0)))))) -> c9(1'(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))))), 2'(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))))))))), 0'(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))), 2'(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))))))), 1'(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))), 1'(2(1(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))))), 2'(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))), 1'(1(1(0(1(2(1(2(1(0(0(1(z0)))))))))))), 1'(1(0(1(2(1(2(1(0(0(1(z0))))))))))), 1'(0(1(2(1(2(1(0(0(1(z0)))))))))), 0'(1(2(1(2(1(0(0(1(z0))))))))), 1'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(0(0(2(2(0(0(2(0(0(z0)))))))))) -> c14(1'(1(2(2(0(0(0(0(1(1(2(z0))))))))))), 1'(2(2(0(0(0(0(1(1(2(z0)))))))))), 2'(2(0(0(0(0(1(1(2(z0))))))))), 2'(0(0(0(0(1(1(2(z0)))))))), 0'(0(0(0(1(1(2(z0))))))), 0'(0(0(1(1(2(z0)))))), 0'(0(1(1(2(z0))))), 0'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(2(1(0(0(1(0(1(0(2(0(z0))))))))))) -> c17(1'(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))))), 0'(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0)))))))))))))))), 1'(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))), 1'(0(1(2(0(1(2(1(1(0(1(1(2(0(z0)))))))))))))), 0'(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))), 1'(2(0(1(2(1(1(0(1(1(2(0(z0)))))))))))), 2'(0(1(2(1(1(0(1(1(2(0(z0))))))))))), 0'(1(2(1(1(0(1(1(2(0(z0)))))))))), 1'(2(1(1(0(1(1(2(0(z0))))))))), 2'(1(1(0(1(1(2(0(z0)))))))), 1'(1(0(1(1(2(0(z0))))))), 1'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) 0'(1(1(1(1(0(2(2(1(1(1(0(2(2(z0)))))))))))))) -> c19(1'(2(1(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))))), 2'(1(0(1(1(1(2(2(1(2(0(0(1(z0))))))))))))), 1'(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))), 0'(1(1(1(2(2(1(2(0(0(1(z0))))))))))), 1'(1(1(2(2(1(2(0(0(1(z0)))))))))), 1'(1(2(2(1(2(0(0(1(z0))))))))), 1'(2(2(1(2(0(0(1(z0)))))))), 2'(2(1(2(0(0(1(z0))))))), 2'(1(2(0(0(1(z0)))))), 1'(2(0(0(1(z0))))), 2'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(0(0(2(1(2(0(1(2(1(2(2(2(1(0(z0))))))))))))))) -> c21(1'(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))))), 2'(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0))))))))))))))), 0'(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))), 1'(0(2(1(1(0(0(1(1(1(0(0(1(z0))))))))))))), 0'(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))), 2'(1(1(0(0(1(1(1(0(0(1(z0))))))))))), 1'(1(0(0(1(1(1(0(0(1(z0)))))))))), 1'(0(0(1(1(1(0(0(1(z0))))))))), 0'(0(1(1(1(0(0(1(z0)))))))), 0'(1(1(1(0(0(1(z0))))))), 1'(1(1(0(0(1(z0)))))), 1'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(0(1(0(0(1(2(0(1(2(1(2(2(0(0(z0))))))))))))))) -> c22(1'(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))))), 0'(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0))))))))))))))), 1'(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))), 2'(1(1(0(2(1(2(1(2(0(2(1(0(z0))))))))))))), 1'(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))), 1'(0(2(1(2(1(2(0(2(1(0(z0))))))))))), 0'(2(1(2(1(2(0(2(1(0(z0)))))))))), 2'(1(2(1(2(0(2(1(0(z0))))))))), 1'(2(1(2(0(2(1(0(z0)))))))), 2'(1(2(0(2(1(0(z0))))))), 1'(2(0(2(1(0(z0)))))), 2'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) 0'(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(z0)))))))))))))))) -> c23(1'(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))))), 2'(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0))))))))))))))))), 2'(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))), 1'(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0))))))))))))))), 1'(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))), 1'(1(1(0(2(1(2(0(0(0(0(1(2(z0))))))))))))), 1'(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))), 1'(0(2(1(2(0(0(0(0(1(2(z0))))))))))), 0'(2(1(2(0(0(0(0(1(2(z0)))))))))), 2'(1(2(0(0(0(0(1(2(z0))))))))), 1'(2(0(0(0(0(1(2(z0)))))))), 2'(0(0(0(0(1(2(z0))))))), 0'(0(0(0(1(2(z0)))))), 0'(0(0(1(2(z0))))), 0'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0)) 0'(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(z0))))))))))))))))) -> c24(0'(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))))), 1'(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))))))))), 1'(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))))))), 1'(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))), 2'(0(1(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))))), 0'(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))), 1'(2(1(1(2(1(1(2(0(0(0(0(z0)))))))))))), 2'(1(1(2(1(1(2(0(0(0(0(z0))))))))))), 1'(1(2(1(1(2(0(0(0(0(z0)))))))))), 1'(2(1(1(2(0(0(0(0(z0))))))))), 2'(1(1(2(0(0(0(0(z0)))))))), 1'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) 0'(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(z0)))))))))))))))))) -> c25(1'(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))), 1'(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0))))))))))))))))))))))), 2'(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))), 1'(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0))))))))))))))))))))), 0'(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))), 2'(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0))))))))))))))))))), 1'(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))), 0'(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0))))))))))))))))), 1'(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))), 1'(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0))))))))))))))), 2'(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))), 0'(1(0(0(1(1(0(1(0(0(1(0(1(z0))))))))))))), 1'(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))), 0'(0(1(1(0(1(0(0(1(0(1(z0))))))))))), 0'(1(1(0(1(0(0(1(0(1(z0)))))))))), 1'(1(0(1(0(0(1(0(1(z0))))))))), 1'(0(1(0(0(1(0(1(z0)))))))), 0'(1(0(0(1(0(1(z0))))))), 1'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) 0'(2(0(0(2(0(2(0(0(2(1(0(0(0(0(0(2(1(2(z0))))))))))))))))))) -> c27(1'(1(0(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0)))))))))))))))))))), 1'(0(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0))))))))))))))))))), 0'(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0)))))))))))))))))), 2'(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0))))))))))))))))), 2'(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0)))))))))))))))), 2'(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0))))))))))))))), 0'(2(1(0(1(0(2(0(0(1(2(2(1(1(z0)))))))))))))), 2'(1(0(1(0(2(0(0(1(2(2(1(1(z0))))))))))))), 1'(0(1(0(2(0(0(1(2(2(1(1(z0)))))))))))), 0'(1(0(2(0(0(1(2(2(1(1(z0))))))))))), 1'(0(2(0(0(1(2(2(1(1(z0)))))))))), 0'(2(0(0(1(2(2(1(1(z0))))))))), 2'(0(0(1(2(2(1(1(z0)))))))), 0'(0(1(2(2(1(1(z0))))))), 0'(1(2(2(1(1(z0)))))), 1'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(0(2(0(1(0(1(1(0(2(0(2(0(0(1(0(0(1(1(0(z0)))))))))))))))))))) -> c28(0'(0(2(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))), 0'(2(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(z0)))))))))))))))))))))))))))), 2'(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))), 1'(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(z0)))))))))))))))))))))))))), 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1'(2(1(2(0(2(1(1(0(z0))))))))), 2'(1(2(0(2(1(1(0(z0)))))))), 1'(2(0(2(1(1(0(z0))))))), 2'(0(2(1(1(0(z0)))))), 0'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(1(0(2(0(0(1(2(2(1(2(z0))))))))))) -> c56(0'(0(1(1(1(1(0(1(0(1(1(0(z0)))))))))))), 0'(1(1(1(1(0(1(0(1(1(0(z0))))))))))), 1'(1(1(1(0(1(0(1(1(0(z0)))))))))), 1'(1(1(0(1(0(1(1(0(z0))))))))), 1'(1(0(1(0(1(1(0(z0)))))))), 1'(0(1(0(1(1(0(z0))))))), 0'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(0(0(0(2(2(2(0(1(2(2(0(z0)))))))))))) -> c58(2'(0(2(0(1(2(1(0(0(0(0(1(0(z0))))))))))))), 0'(2(0(1(2(1(0(0(0(0(1(0(z0)))))))))))), 2'(0(1(2(1(0(0(0(0(1(0(z0))))))))))), 0'(1(2(1(0(0(0(0(1(0(z0)))))))))), 1'(2(1(0(0(0(0(1(0(z0))))))))), 2'(1(0(0(0(0(1(0(z0)))))))), 1'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0)) 2'(2(0(0(0(1(1(2(2(0(2(1(2(z0))))))))))))) -> 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0'(0(0(2(2(1(1(0(2(1(2(2(0(1(1(0(0(1(0(0(2(z0))))))))))))))))))))) -> c30(0'(0(2(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))))))))))))), 0'(2(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0)))))))))))))))))))))))))), 2'(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))))))))))), 1'(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0)))))))))))))))))))))))), 1'(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))))))))), 2'(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0)))))))))))))))))))))), 0'(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))))))), 0'(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0)))))))))))))))))))), 1'(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))))), 0'(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))), 0'(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0)))))))))))))))), 1'(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))), 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1'(0(1(0(1(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))))))))))))))))), 0'(1(0(1(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0))))))))))))))))))))))))), 1'(0(1(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))))))))))))))), 0'(1(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0))))))))))))))))))))))), 1'(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))))))))))))), 1'(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0))))))))))))))))))))), 0'(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))))))))))), 1'(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0))))))))))))))))))), 1'(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))))))))), 0'(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0))))))))))))))))), 1'(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))))))), 2'(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0))))))))))))))), 1'(1(1(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))))), 1'(1(0(0(1(0(0(2(0(1(0(1(1(z0))))))))))))), 1'(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))), 0'(0(1(0(0(2(0(1(0(1(1(z0))))))))))), 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2'(2(2(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0))))))))))))))))))))))))), 2'(2(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))))))))))))), 2'(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0))))))))))))))))))))))), 1'(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))))))))))), 2'(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0))))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))))))))), 2'(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0))))))))))))))))))), 1'(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))))))), 1'(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0))))))))))))))))), 2'(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))))), 2'(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0))))))))))))))), 1'(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))), 1'(2(1(0(2(0(1(1(1(2(1(1(1(z0))))))))))))), 2'(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))), 1'(0(2(0(1(1(1(2(1(1(1(z0))))))))))), 0'(2(0(1(1(1(2(1(1(1(z0)))))))))), 2'(0(1(1(1(2(1(1(1(z0))))))))), 0'(1(1(1(2(1(1(1(z0)))))))), 1'(1(1(2(1(1(1(z0))))))), 1'(1(2(1(1(1(z0)))))), 1'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 2'(2(0(1(1(2(1(1(0(0(0(2(1(0(0(2(2(0(2(2(2(1(1(2(2(2(1(0(z0)))))))))))))))))))))))))))) -> c91(1'(1(0(1(0(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0)))))))))))))))))))))))))))), 0'(1(0(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))))))))))))))), 1'(0(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0)))))))))))))))))))))))))), 0'(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))))))))))))), 0'(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0)))))))))))))))))))))))), 1'(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))))))))))), 2'(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0)))))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))))))))), 0'(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))))))), 1'(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0)))))))))))))))))), 1'(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))))), 2'(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0)))))))))))))))), 1'(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))), 1'(2(1(0(0(0(2(2(2(0(2(2(2(1(z0)))))))))))))), 2'(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))), 1'(0(0(0(2(2(2(0(2(2(2(1(z0)))))))))))), 0'(0(0(2(2(2(0(2(2(2(1(z0))))))))))), 0'(0(2(2(2(0(2(2(2(1(z0)))))))))), 0'(2(2(2(0(2(2(2(1(z0))))))))), 2'(2(2(0(2(2(2(1(z0)))))))), 2'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0)) Removed 2 trailing nodes: 1'(1(2(2(0(z0))))) -> c94(1'(1(1(2(2(1(z0)))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(1(0(0(z0)))) -> c48(0'(1(2(1(1(2(1(z0))))))), 1'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) ---------------------------------------- (8) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(0(z0)) -> 1(2(1(z0))) 0(2(z0)) -> 1(1(1(z0))) 0(0(1(0(0(z0))))) -> 1(2(0(1(1(1(z0)))))) 0(0(0(0(0(1(z0)))))) -> 1(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))))) 0(0(2(2(0(0(z0)))))) -> 1(2(2(0(1(2(1(1(1(z0))))))))) 0(1(0(1(1(2(1(0(z0)))))))) -> 1(1(2(0(1(2(1(1(2(1(z0)))))))))) 0(0(0(2(2(2(1(0(0(z0))))))))) -> 1(1(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))))))) 0(1(0(0(2(0(2(0(2(z0))))))))) -> 1(0(0(1(1(1(1(2(2(0(0(2(z0)))))))))))) 0(0(0(2(2(0(0(2(0(0(z0)))))))))) -> 1(1(2(2(0(0(0(0(1(1(2(z0))))))))))) 0(1(1(0(2(2(2(1(0(0(z0)))))))))) -> 0(2(1(1(2(2(0(1(1(2(1(2(z0)))))))))))) 0(1(2(1(0(0(1(0(2(1(1(z0))))))))))) -> 1(1(0(0(0(1(2(0(1(2(1(z0))))))))))) 0(2(1(0(0(1(0(1(0(2(0(z0))))))))))) -> 1(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))))) 0(0(2(2(2(1(0(1(0(2(0(2(z0)))))))))))) -> 1(1(1(2(0(0(0(1(0(2(0(2(2(1(z0)))))))))))))) 0(1(1(1(1(0(2(2(1(1(1(0(2(2(z0)))))))))))))) -> 1(2(1(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))))) 0(1(2(2(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))) -> 1(2(0(0(0(2(0(1(2(0(1(2(1(2(z0)))))))))))))) 0(0(0(2(1(2(0(1(2(1(2(2(2(1(0(z0))))))))))))))) -> 1(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))))) 0(0(1(0(0(1(2(0(1(2(1(2(2(0(0(z0))))))))))))))) -> 1(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))))) 0(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(z0)))))))))))))))) -> 1(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))))) 0(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(z0))))))))))))))))) -> 0(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))))) 0(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(z0)))))))))))))))))) -> 1(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))) 0(1(0(0(1(1(0(0(0(1(2(1(2(2(1(0(0(2(z0)))))))))))))))))) -> 0(1(2(1(1(1(1(2(2(1(0(0(1(1(0(1(1(2(0(1(1(1(1(z0))))))))))))))))))))))) 0(2(0(0(2(0(2(0(0(2(1(0(0(0(0(0(2(1(2(z0))))))))))))))))))) -> 1(1(0(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0)))))))))))))))))))) 0(0(2(0(1(0(1(1(0(2(0(2(0(0(1(0(0(1(1(0(z0)))))))))))))))))))) -> 0(0(2(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))) 0(2(2(1(0(0(0(1(1(0(1(0(2(2(2(0(1(2(0(2(z0)))))))))))))))))))) -> 0(2(2(0(1(1(2(0(2(2(1(1(1(0(2(1(0(2(1(1(0(z0))))))))))))))))))))) 0(0(0(2(2(1(1(0(2(1(2(2(0(1(1(0(0(1(0(0(2(z0))))))))))))))))))))) -> 0(0(2(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))))))))))))) 0(0(2(0(1(0(0(0(0(2(2(2(1(1(0(2(0(0(2(1(0(z0))))))))))))))))))))) -> 1(2(0(1(0(0(1(0(0(1(2(2(0(0(0(2(2(2(0(0(0(z0))))))))))))))))))))) 0(2(0(0(2(2(1(1(1(0(2(2(0(0(0(2(2(1(0(2(0(z0))))))))))))))))))))) -> 0(1(0(0(2(0(1(2(0(2(2(1(1(2(2(1(1(2(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))) 0(2(2(0(2(0(0(2(1(1(1(0(0(0(2(0(0(1(2(0(2(0(z0)))))))))))))))))))))) -> 1(1(2(0(0(2(1(0(2(0(1(1(2(0(0(2(2(2(1(1(0(2(1(1(1(2(z0)))))))))))))))))))))))))) 0(1(2(1(0(2(2(0(0(0(1(1(2(0(2(0(1(1(0(2(1(2(2(z0))))))))))))))))))))))) -> 1(1(1(1(1(2(2(2(0(1(1(0(2(0(2(1(2(0(1(1(1(2(0(1(2(z0))))))))))))))))))))))))) 0(0(1(2(0(1(1(1(0(2(1(0(0(2(2(2(0(0(0(0(1(2(1(1(z0)))))))))))))))))))))))) -> 1(2(1(0(0(0(0(0(0(1(0(2(1(1(2(2(1(2(0(0(0(2(1(1(z0)))))))))))))))))))))))) 0(2(0(1(2(1(2(2(2(0(2(1(2(2(2(0(2(1(0(2(2(0(0(2(z0)))))))))))))))))))))))) -> 0(1(2(1(0(0(1(1(2(1(0(2(0(2(2(2(2(2(1(1(2(2(0(1(2(0(0(0(2(z0))))))))))))))))))))))))))))) 0(2(1(2(2(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(2(1(1(0(z0)))))))))))))))))))))))) -> 0(2(0(2(1(0(1(2(2(1(0(1(2(2(0(1(0(2(0(2(0(1(2(0(z0)))))))))))))))))))))))) 0(0(0(2(0(2(1(2(0(1(1(0(2(0(1(0(0(0(2(2(0(1(2(2(0(z0))))))))))))))))))))))))) -> 0(0(0(0(0(1(1(0(2(1(1(2(0(2(1(2(0(2(2(0(0(2(2(0(0(z0))))))))))))))))))))))))) 0(0(2(0(0(2(1(2(1(2(2(2(2(1(0(1(2(1(1(0(1(0(0(0(0(z0))))))))))))))))))))))))) -> 0(2(2(2(1(1(1(1(1(1(1(1(0(1(0(1(2(0(1(0(1(0(2(1(1(1(1(1(2(0(z0)))))))))))))))))))))))))))))) 0(2(1(0(0(0(2(2(1(1(2(0(0(0(2(1(1(1(2(1(2(2(1(0(2(z0))))))))))))))))))))))))) -> 1(2(1(1(0(2(1(1(1(1(0(0(2(1(0(1(2(1(2(0(0(1(1(2(2(1(0(0(z0)))))))))))))))))))))))))))) 0(0(0(2(1(2(2(2(1(0(1(2(0(2(2(1(2(0(1(1(1(1(0(0(0(1(z0)))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(0(1(2(1(1(2(0(2(2(0(1(0(1(0(1(1(2(2(2(1(z0)))))))))))))))))))))))))))) 0(1(0(1(1(0(2(1(1(2(1(0(1(1(0(0(2(2(0(2(2(2(0(2(0(2(z0)))))))))))))))))))))))))) -> 0(1(0(1(2(0(2(0(1(0(0(0(2(0(2(0(1(2(1(1(2(1(2(2(2(1(z0)))))))))))))))))))))))))) 0(2(1(0(1(2(2(2(1(0(1(2(1(1(0(0(0(0(1(0(0(2(1(2(1(0(2(z0))))))))))))))))))))))))))) -> 1(1(2(1(2(2(1(1(0(1(0(2(0(1(1(1(1(0(0(2(1(1(0(0(2(2(1(0(0(z0))))))))))))))))))))))))))))) 0(2(2(1(2(1(0(1(1(0(0(0(1(2(1(0(2(2(2(2(2(2(2(1(2(1(0(z0))))))))))))))))))))))))))) -> 0(2(1(2(1(0(1(1(1(2(2(0(2(2(2(0(1(2(2(2(2(0(1(2(1(1(1(1(2(1(z0)))))))))))))))))))))))))))))) 0(2(1(1(1(1(0(0(2(2(2(2(0(1(0(1(0(2(1(1(1(0(2(0(2(0(1(2(2(0(z0)))))))))))))))))))))))))))))) -> 0(2(1(1(1(0(1(0(0(2(2(1(0(0(2(2(0(1(0(2(1(0(2(1(2(1(2(2(1(0(z0)))))))))))))))))))))))))))))) 2(0(z0)) -> 1(2(1(z0))) 2(2(2(z0))) -> 1(1(2(2(1(2(1(z0))))))) 2(1(0(0(z0)))) -> 0(1(2(1(1(2(1(z0))))))) 2(0(0(0(0(1(0(z0))))))) -> 1(0(1(0(1(2(0(1(1(2(1(1(0(z0))))))))))))) 2(2(0(0(1(2(0(z0))))))) -> 0(2(1(0(0(1(2(1(1(2(0(z0))))))))))) 2(2(2(2(0(1(2(z0))))))) -> 2(2(2(0(2(1(2(z0))))))) 2(0(0(2(1(2(2(2(1(z0))))))))) -> 2(1(2(2(1(1(2(0(1(2(1(0(0(1(z0)))))))))))))) 2(1(0(1(2(0(1(2(0(z0))))))))) -> 1(2(1(2(1(2(0(2(1(1(0(z0))))))))))) 2(1(2(0(0(0(1(2(2(0(z0)))))))))) -> 1(2(1(1(0(2(1(2(0(1(0(1(1(z0))))))))))))) 2(0(2(2(2(2(1(2(0(1(1(z0))))))))))) -> 2(1(2(0(2(2(2(0(2(1(1(z0))))))))))) 2(1(0(2(0(0(1(2(2(1(2(z0))))))))))) -> 0(0(1(1(1(1(0(1(0(1(1(0(z0)))))))))))) 2(2(2(2(1(1(1(2(2(0(0(z0))))))))))) -> 1(1(1(0(1(0(0(1(1(2(0(2(1(z0))))))))))))) 2(0(0(0(2(2(2(0(1(2(2(0(z0)))))))))))) -> 2(0(2(0(1(2(1(0(0(0(0(1(0(z0))))))))))))) 2(2(0(0(0(1(1(2(2(0(2(1(2(z0))))))))))))) -> 1(0(1(0(1(1(2(1(1(1(1(1(0(0(2(0(2(0(z0)))))))))))))))))) 2(0(0(0(2(1(0(0(1(0(2(1(0(0(2(z0))))))))))))))) -> 1(1(0(2(1(0(2(1(1(2(1(1(0(1(1(1(1(1(1(0(1(1(z0)))))))))))))))))))))) 2(0(1(0(2(2(0(1(1(2(0(2(2(2(0(z0))))))))))))))) -> 1(1(1(1(1(1(0(1(2(1(2(2(1(1(1(2(2(z0))))))))))))))))) 2(2(0(2(2(1(0(1(0(2(2(2(2(1(2(0(z0)))))))))))))))) -> 1(0(1(0(1(0(2(0(1(1(0(2(0(0(0(1(1(z0))))))))))))))))) 2(2(0(2(2(2(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))) -> 0(2(1(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0))))))))))))))))))) 2(0(0(2(2(2(2(1(2(2(1(0(2(2(0(1(0(z0))))))))))))))))) -> 2(2(2(0(1(1(1(1(1(0(1(1(1(2(0(1(2(1(1(1(1(2(1(2(z0)))))))))))))))))))))))) 2(0(1(1(1(1(0(2(0(1(0(1(1(1(2(2(1(z0))))))))))))))))) -> 1(2(1(0(1(1(2(0(2(1(1(0(0(1(1(2(1(z0))))))))))))))))) 2(0(0(0(2(0(0(0(1(0(0(2(2(0(1(2(1(0(z0)))))))))))))))))) -> 0(2(2(1(1(0(1(0(1(0(2(1(1(2(1(2(0(0(0(0(1(1(1(z0))))))))))))))))))))))) 2(2(0(1(1(0(0(0(2(0(1(0(1(0(1(0(1(2(z0)))))))))))))))))) -> 2(2(0(2(0(1(1(2(0(1(0(0(0(1(1(2(1(2(1(1(z0)))))))))))))))))))) 2(2(2(2(2(1(0(1(2(2(2(2(1(0(1(0(0(0(z0)))))))))))))))))) -> 0(1(2(1(1(1(2(1(0(0(0(1(1(0(1(1(2(2(2(2(2(2(1(0(0(z0))))))))))))))))))))))))) 2(0(1(0(2(0(0(0(2(0(2(2(0(1(0(0(1(0(2(z0))))))))))))))))))) -> 0(1(1(0(1(2(1(0(0(0(1(1(0(1(2(1(1(0(2(1(2(0(0(2(1(0(0(2(z0)))))))))))))))))))))))))))) 2(1(0(0(0(2(2(0(1(2(2(0(2(2(2(0(0(0(2(z0))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(2(2(1(2(1(0(2(0(0(1(0(1(z0))))))))))))))))))))) 2(1(2(2(2(2(0(0(1(0(2(2(1(2(1(0(2(1(0(0(z0)))))))))))))))))))) -> 2(1(0(0(2(0(1(1(2(0(1(2(1(1(1(2(1(2(1(0(1(1(1(1(2(1(z0)))))))))))))))))))))))))) 2(0(2(2(0(0(2(0(0(2(1(2(2(2(1(0(2(0(2(0(0(z0))))))))))))))))))))) -> 2(1(2(2(2(0(0(2(2(1(2(0(0(2(2(2(0(0(0(0(0(z0))))))))))))))))))))) 2(1(2(0(0(2(1(0(2(2(2(0(2(1(2(2(1(0(0(2(1(z0))))))))))))))))))))) -> 1(2(0(2(2(1(0(1(0(0(1(1(2(0(1(0(2(0(2(1(2(0(1(z0))))))))))))))))))))))) 2(2(2(1(0(0(0(0(1(0(0(2(2(1(2(1(2(0(2(2(0(z0))))))))))))))))))))) -> 1(2(0(0(1(2(0(2(1(1(0(1(2(2(0(0(1(2(1(0(0(2(2(1(z0)))))))))))))))))))))))) 2(0(1(1(0(2(1(0(2(1(2(1(1(0(0(0(2(1(1(1(1(1(z0)))))))))))))))))))))) -> 2(0(0(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))))))))) 2(0(2(0(2(0(1(1(0(0(0(2(2(0(0(2(1(1(0(2(1(2(z0)))))))))))))))))))))) -> 0(1(0(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))))))))) 2(1(1(1(0(2(2(1(2(1(0(2(2(0(0(0(1(0(2(0(0(2(z0)))))))))))))))))))))) -> 2(0(1(0(1(0(1(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))))))))))))))))))) 2(2(2(1(2(2(1(1(0(0(1(1(0(0(2(1(1(0(2(2(1(0(z0)))))))))))))))))))))) -> 1(0(2(1(2(1(2(0(0(1(2(1(2(2(2(1(1(0(0(2(1(0(z0)))))))))))))))))))))) 2(0(2(2(2(0(0(2(0(2(0(0(1(1(1(2(1(2(2(0(1(1(1(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(1(1(0(2(2(0(1(1(0(0(1(1(2(0(1(1(0(1(z0))))))))))))))))))))))))) 2(1(0(0(1(1(1(1(0(1(2(2(0(2(2(1(0(0(0(0(2(2(2(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(1(1(2(1(0(0(1(2(2(0(1(2(0(2(2(0(0(1(z0))))))))))))))))))))))))) 2(2(1(1(1(0(1(1(2(0(2(0(0(0(2(2(2(0(2(2(1(0(2(z0))))))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(1(1(2(1(2(1(0(0(0(1(2(2(0(2(1(z0)))))))))))))))))))))))))))) 2(0(2(2(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(2(0(2(1(0(z0)))))))))))))))))))))))) -> 2(2(1(2(1(0(1(1(2(1(2(0(0(0(1(0(0(1(2(1(2(2(2(2(1(2(1(2(z0)))))))))))))))))))))))))))) 2(1(1(2(2(0(2(0(1(1(2(2(2(0(1(2(2(0(0(0(2(2(1(0(z0)))))))))))))))))))))))) -> 1(2(0(0(1(2(0(0(1(0(2(2(1(0(1(1(1(1(0(1(2(2(0(0(2(z0))))))))))))))))))))))))) 2(0(1(1(2(2(0(0(0(2(0(2(0(0(1(1(1(2(2(0(0(2(1(0(2(z0))))))))))))))))))))))))) -> 1(0(2(1(0(0(1(0(2(1(2(1(2(0(1(2(0(0(1(1(0(0(1(0(1(0(z0)))))))))))))))))))))))))) 2(0(2(1(0(2(0(1(1(1(0(2(0(1(1(2(2(0(0(0(0(2(1(1(2(z0))))))))))))))))))))))))) -> 1(1(1(1(0(2(0(1(0(1(1(0(2(0(0(0(1(2(0(1(0(2(2(0(1(1(z0)))))))))))))))))))))))))) 2(0(0(2(2(0(0(1(2(2(0(2(2(1(1(1(0(1(1(2(1(2(2(1(0(0(z0)))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(0(0(2(0(1(2(1(1(2(2(2(2(0(1(2(0(1(0(2(z0)))))))))))))))))))))))))) 2(0(2(1(1(2(0(0(2(0(0(0(0(2(2(2(0(2(0(2(0(0(2(0(1(2(z0)))))))))))))))))))))))))) -> 2(0(1(1(0(2(1(0(1(2(2(2(0(0(0(2(1(1(1(1(1(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))) 2(2(0(1(2(1(1(0(0(0(0(2(2(2(2(2(0(0(0(2(0(1(2(0(1(0(z0)))))))))))))))))))))))))) -> 0(1(1(2(1(2(0(1(1(1(1(2(2(1(1(1(1(1(2(0(0(2(2(2(0(2(1(2(2(z0))))))))))))))))))))))))))))) 2(2(2(1(0(2(0(0(1(0(2(2(2(0(0(0(1(0(1(0(2(0(2(1(0(0(z0)))))))))))))))))))))))))) -> 0(0(0(0(0(2(1(0(0(0(2(1(1(0(1(2(0(0(0(0(2(2(1(1(2(1(2(z0))))))))))))))))))))))))))) 2(2(2(1(2(0(1(2(1(0(0(1(0(1(0(2(1(1(0(0(0(2(2(0(0(0(z0)))))))))))))))))))))))))) -> 0(1(1(1(1(1(1(1(0(1(1(2(0(1(0(2(0(0(1(2(0(0(1(0(1(0(1(z0))))))))))))))))))))))))))) 2(2(0(1(1(2(1(1(0(0(0(2(1(0(0(2(2(0(2(2(2(1(1(2(2(2(1(0(z0)))))))))))))))))))))))))))) -> 1(1(0(1(0(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))))))))))))))))) 2(2(2(2(2(0(0(2(2(2(1(1(0(1(2(1(0(2(0(0(2(1(0(2(0(0(0(2(z0)))))))))))))))))))))))))))) -> 1(2(2(1(0(2(0(0(0(1(1(2(0(2(0(0(1(0(1(2(0(2(0(1(1(2(0(1(0(z0))))))))))))))))))))))))))))) 2(0(0(0(1(1(2(0(0(0(2(0(2(0(2(2(2(0(1(0(2(2(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))))) -> 2(1(2(2(2(1(2(0(0(0(0(2(1(2(1(1(2(2(0(0(2(0(1(0(0(0(0(1(1(1(z0)))))))))))))))))))))))))))))) 1(1(2(2(0(z0))))) -> 1(1(1(2(2(1(z0)))))) 1(0(2(2(2(1(z0)))))) -> 1(1(1(0(1(1(0(1(z0)))))))) 1(2(2(2(2(2(1(0(z0)))))))) -> 1(2(1(2(2(2(0(2(z0)))))))) 1(1(2(0(1(1(0(0(2(z0))))))))) -> 0(1(1(2(0(1(2(1(1(2(1(2(0(1(z0)))))))))))))) 1(0(0(1(2(1(0(2(2(2(z0)))))))))) -> 1(2(1(2(2(1(0(2(1(2(1(1(z0)))))))))))) 1(2(0(2(0(2(0(0(2(0(z0)))))))))) -> 0(0(1(1(0(0(2(0(1(1(1(z0))))))))))) 1(2(1(0(0(0(2(2(2(2(0(z0))))))))))) -> 1(1(2(0(0(2(2(1(2(1(0(0(2(1(z0)))))))))))))) 1(2(2(0(0(0(0(0(1(0(2(z0))))))))))) -> 1(0(1(2(0(0(1(1(2(1(1(2(z0)))))))))))) 1(0(0(1(1(0(0(1(1(0(2(0(z0)))))))))))) -> 1(1(1(2(0(0(0(1(1(0(0(0(z0)))))))))))) 1(0(2(0(0(1(0(2(0(0(1(2(z0)))))))))))) -> 0(0(0(1(2(1(1(2(0(2(0(0(z0)))))))))))) 1(0(2(2(1(0(0(1(1(1(0(1(1(2(2(0(z0)))))))))))))))) -> 1(2(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))))))) 1(1(0(0(0(0(0(0(0(2(2(2(2(1(0(0(1(z0))))))))))))))))) -> 1(2(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))))))) 1(1(0(0(1(2(0(2(0(0(1(2(0(2(2(2(2(z0))))))))))))))))) -> 1(2(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))))))) 1(2(2(0(0(1(1(2(2(0(0(2(1(1(0(2(0(1(2(2(z0)))))))))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))))))) 1(0(0(0(1(1(2(2(0(2(1(1(1(0(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 1(1(2(1(1(2(1(2(1(1(2(1(0(0(0(2(0(2(1(2(1(0(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))) 1(2(0(2(0(1(1(0(0(0(0(1(1(1(2(2(2(2(2(2(0(2(z0)))))))))))))))))))))) -> 1(0(1(2(1(2(2(1(2(2(1(0(2(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))) 1(2(0(2(2(0(0(1(2(2(2(2(2(2(1(0(0(2(2(2(0(1(0(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(0(1(1(1(2(1(1(1(2(1(1(1(2(2(2(0(2(2(1(0(z0)))))))))))))))))))))))))))) 1(0(0(2(1(1(2(1(2(2(1(0(0(2(0(1(0(1(0(2(1(1(1(0(z0)))))))))))))))))))))))) -> 0(1(1(0(2(0(2(2(1(2(1(1(0(1(2(1(2(1(1(0(1(1(1(0(1(0(1(z0))))))))))))))))))))))))))) 1(1(1(0(2(1(1(2(2(0(1(0(0(2(1(2(0(1(1(0(0(1(2(0(z0)))))))))))))))))))))))) -> 1(2(2(2(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))))))))))))))) 1(0(1(0(0(0(2(1(0(0(1(2(0(0(0(0(2(2(2(2(2(1(2(1(1(z0))))))))))))))))))))))))) -> 1(2(1(1(0(0(1(1(2(1(1(1(0(1(0(0(0(0(2(2(1(1(0(2(0(2(1(1(1(z0))))))))))))))))))))))))))))) 1(1(2(0(1(1(0(0(0(2(0(2(2(2(2(0(1(0(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))) -> 0(0(1(2(1(2(1(1(0(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))))))))))))))) 1(1(2(2(0(2(0(1(1(1(0(0(2(0(2(0(2(1(0(2(1(2(2(0(0(1(0(0(z0)))))))))))))))))))))))))))) -> 1(2(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0)) ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0)) ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0)) 0'(0(z0)) -> c6(1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(2(z0)) -> c7(1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(1'(1(2(0(1(2(1(1(2(1(z0)))))))))), 1'(2(0(1(2(1(1(2(1(z0))))))))), 2'(0(1(2(1(1(2(1(z0)))))))), 0'(1(2(1(1(2(1(z0))))))), 1'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(0(z0)) -> c46(1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(2(2(z0))) -> c47(1'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) S tuples: 0'(0(z0)) -> c6(1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 0'(2(z0)) -> c7(1'(1(1(z0))), 1'(1(z0)), 1'(z0)) 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(1'(1(2(0(1(2(1(1(2(1(z0)))))))))), 1'(2(0(1(2(1(1(2(1(z0))))))))), 2'(0(1(2(1(1(2(1(z0)))))))), 0'(1(2(1(1(2(1(z0))))))), 1'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(0(z0)) -> c46(1'(2(1(z0))), 2'(1(z0)), 1'(z0)) 2'(2(2(z0))) -> c47(1'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0)) K tuples:none Defined Rule Symbols: 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, 0'_1, 2'_1 Compound Symbols: c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_3, c7_3, c11_10, c46_3, c47_7 ---------------------------------------- (9) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 27 trailing tuple parts ---------------------------------------- (10) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(0(z0)) -> 1(2(1(z0))) 0(2(z0)) -> 1(1(1(z0))) 0(0(1(0(0(z0))))) -> 1(2(0(1(1(1(z0)))))) 0(0(0(0(0(1(z0)))))) -> 1(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))))) 0(0(2(2(0(0(z0)))))) -> 1(2(2(0(1(2(1(1(1(z0))))))))) 0(1(0(1(1(2(1(0(z0)))))))) -> 1(1(2(0(1(2(1(1(2(1(z0)))))))))) 0(0(0(2(2(2(1(0(0(z0))))))))) -> 1(1(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))))))) 0(1(0(0(2(0(2(0(2(z0))))))))) -> 1(0(0(1(1(1(1(2(2(0(0(2(z0)))))))))))) 0(0(0(2(2(0(0(2(0(0(z0)))))))))) -> 1(1(2(2(0(0(0(0(1(1(2(z0))))))))))) 0(1(1(0(2(2(2(1(0(0(z0)))))))))) -> 0(2(1(1(2(2(0(1(1(2(1(2(z0)))))))))))) 0(1(2(1(0(0(1(0(2(1(1(z0))))))))))) -> 1(1(0(0(0(1(2(0(1(2(1(z0))))))))))) 0(2(1(0(0(1(0(1(0(2(0(z0))))))))))) -> 1(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))))) 0(0(2(2(2(1(0(1(0(2(0(2(z0)))))))))))) -> 1(1(1(2(0(0(0(1(0(2(0(2(2(1(z0)))))))))))))) 0(1(1(1(1(0(2(2(1(1(1(0(2(2(z0)))))))))))))) -> 1(2(1(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))))) 0(1(2(2(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))) -> 1(2(0(0(0(2(0(1(2(0(1(2(1(2(z0)))))))))))))) 0(0(0(2(1(2(0(1(2(1(2(2(2(1(0(z0))))))))))))))) -> 1(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))))) 0(0(1(0(0(1(2(0(1(2(1(2(2(0(0(z0))))))))))))))) -> 1(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))))) 0(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(z0)))))))))))))))) -> 1(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))))) 0(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(z0))))))))))))))))) -> 0(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))))) 0(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(z0)))))))))))))))))) -> 1(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))) 0(1(0(0(1(1(0(0(0(1(2(1(2(2(1(0(0(2(z0)))))))))))))))))) -> 0(1(2(1(1(1(1(2(2(1(0(0(1(1(0(1(1(2(0(1(1(1(1(z0))))))))))))))))))))))) 0(2(0(0(2(0(2(0(0(2(1(0(0(0(0(0(2(1(2(z0))))))))))))))))))) -> 1(1(0(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0)))))))))))))))))))) 0(0(2(0(1(0(1(1(0(2(0(2(0(0(1(0(0(1(1(0(z0)))))))))))))))))))) -> 0(0(2(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))) 0(2(2(1(0(0(0(1(1(0(1(0(2(2(2(0(1(2(0(2(z0)))))))))))))))))))) -> 0(2(2(0(1(1(2(0(2(2(1(1(1(0(2(1(0(2(1(1(0(z0))))))))))))))))))))) 0(0(0(2(2(1(1(0(2(1(2(2(0(1(1(0(0(1(0(0(2(z0))))))))))))))))))))) -> 0(0(2(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))))))))))))) 0(0(2(0(1(0(0(0(0(2(2(2(1(1(0(2(0(0(2(1(0(z0))))))))))))))))))))) -> 1(2(0(1(0(0(1(0(0(1(2(2(0(0(0(2(2(2(0(0(0(z0))))))))))))))))))))) 0(2(0(0(2(2(1(1(1(0(2(2(0(0(0(2(2(1(0(2(0(z0))))))))))))))))))))) -> 0(1(0(0(2(0(1(2(0(2(2(1(1(2(2(1(1(2(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))) 0(2(2(0(2(0(0(2(1(1(1(0(0(0(2(0(0(1(2(0(2(0(z0)))))))))))))))))))))) -> 1(1(2(0(0(2(1(0(2(0(1(1(2(0(0(2(2(2(1(1(0(2(1(1(1(2(z0)))))))))))))))))))))))))) 0(1(2(1(0(2(2(0(0(0(1(1(2(0(2(0(1(1(0(2(1(2(2(z0))))))))))))))))))))))) -> 1(1(1(1(1(2(2(2(0(1(1(0(2(0(2(1(2(0(1(1(1(2(0(1(2(z0))))))))))))))))))))))))) 0(0(1(2(0(1(1(1(0(2(1(0(0(2(2(2(0(0(0(0(1(2(1(1(z0)))))))))))))))))))))))) -> 1(2(1(0(0(0(0(0(0(1(0(2(1(1(2(2(1(2(0(0(0(2(1(1(z0)))))))))))))))))))))))) 0(2(0(1(2(1(2(2(2(0(2(1(2(2(2(0(2(1(0(2(2(0(0(2(z0)))))))))))))))))))))))) -> 0(1(2(1(0(0(1(1(2(1(0(2(0(2(2(2(2(2(1(1(2(2(0(1(2(0(0(0(2(z0))))))))))))))))))))))))))))) 0(2(1(2(2(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(2(1(1(0(z0)))))))))))))))))))))))) -> 0(2(0(2(1(0(1(2(2(1(0(1(2(2(0(1(0(2(0(2(0(1(2(0(z0)))))))))))))))))))))))) 0(0(0(2(0(2(1(2(0(1(1(0(2(0(1(0(0(0(2(2(0(1(2(2(0(z0))))))))))))))))))))))))) -> 0(0(0(0(0(1(1(0(2(1(1(2(0(2(1(2(0(2(2(0(0(2(2(0(0(z0))))))))))))))))))))))))) 0(0(2(0(0(2(1(2(1(2(2(2(2(1(0(1(2(1(1(0(1(0(0(0(0(z0))))))))))))))))))))))))) -> 0(2(2(2(1(1(1(1(1(1(1(1(0(1(0(1(2(0(1(0(1(0(2(1(1(1(1(1(2(0(z0)))))))))))))))))))))))))))))) 0(2(1(0(0(0(2(2(1(1(2(0(0(0(2(1(1(1(2(1(2(2(1(0(2(z0))))))))))))))))))))))))) -> 1(2(1(1(0(2(1(1(1(1(0(0(2(1(0(1(2(1(2(0(0(1(1(2(2(1(0(0(z0)))))))))))))))))))))))))))) 0(0(0(2(1(2(2(2(1(0(1(2(0(2(2(1(2(0(1(1(1(1(0(0(0(1(z0)))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(0(1(2(1(1(2(0(2(2(0(1(0(1(0(1(1(2(2(2(1(z0)))))))))))))))))))))))))))) 0(1(0(1(1(0(2(1(1(2(1(0(1(1(0(0(2(2(0(2(2(2(0(2(0(2(z0)))))))))))))))))))))))))) -> 0(1(0(1(2(0(2(0(1(0(0(0(2(0(2(0(1(2(1(1(2(1(2(2(2(1(z0)))))))))))))))))))))))))) 0(2(1(0(1(2(2(2(1(0(1(2(1(1(0(0(0(0(1(0(0(2(1(2(1(0(2(z0))))))))))))))))))))))))))) -> 1(1(2(1(2(2(1(1(0(1(0(2(0(1(1(1(1(0(0(2(1(1(0(0(2(2(1(0(0(z0))))))))))))))))))))))))))))) 0(2(2(1(2(1(0(1(1(0(0(0(1(2(1(0(2(2(2(2(2(2(2(1(2(1(0(z0))))))))))))))))))))))))))) -> 0(2(1(2(1(0(1(1(1(2(2(0(2(2(2(0(1(2(2(2(2(0(1(2(1(1(1(1(2(1(z0)))))))))))))))))))))))))))))) 0(2(1(1(1(1(0(0(2(2(2(2(0(1(0(1(0(2(1(1(1(0(2(0(2(0(1(2(2(0(z0)))))))))))))))))))))))))))))) -> 0(2(1(1(1(0(1(0(0(2(2(1(0(0(2(2(0(1(0(2(1(0(2(1(2(1(2(2(1(0(z0)))))))))))))))))))))))))))))) 2(0(z0)) -> 1(2(1(z0))) 2(2(2(z0))) -> 1(1(2(2(1(2(1(z0))))))) 2(1(0(0(z0)))) -> 0(1(2(1(1(2(1(z0))))))) 2(0(0(0(0(1(0(z0))))))) -> 1(0(1(0(1(2(0(1(1(2(1(1(0(z0))))))))))))) 2(2(0(0(1(2(0(z0))))))) -> 0(2(1(0(0(1(2(1(1(2(0(z0))))))))))) 2(2(2(2(0(1(2(z0))))))) -> 2(2(2(0(2(1(2(z0))))))) 2(0(0(2(1(2(2(2(1(z0))))))))) -> 2(1(2(2(1(1(2(0(1(2(1(0(0(1(z0)))))))))))))) 2(1(0(1(2(0(1(2(0(z0))))))))) -> 1(2(1(2(1(2(0(2(1(1(0(z0))))))))))) 2(1(2(0(0(0(1(2(2(0(z0)))))))))) -> 1(2(1(1(0(2(1(2(0(1(0(1(1(z0))))))))))))) 2(0(2(2(2(2(1(2(0(1(1(z0))))))))))) -> 2(1(2(0(2(2(2(0(2(1(1(z0))))))))))) 2(1(0(2(0(0(1(2(2(1(2(z0))))))))))) -> 0(0(1(1(1(1(0(1(0(1(1(0(z0)))))))))))) 2(2(2(2(1(1(1(2(2(0(0(z0))))))))))) -> 1(1(1(0(1(0(0(1(1(2(0(2(1(z0))))))))))))) 2(0(0(0(2(2(2(0(1(2(2(0(z0)))))))))))) -> 2(0(2(0(1(2(1(0(0(0(0(1(0(z0))))))))))))) 2(2(0(0(0(1(1(2(2(0(2(1(2(z0))))))))))))) -> 1(0(1(0(1(1(2(1(1(1(1(1(0(0(2(0(2(0(z0)))))))))))))))))) 2(0(0(0(2(1(0(0(1(0(2(1(0(0(2(z0))))))))))))))) -> 1(1(0(2(1(0(2(1(1(2(1(1(0(1(1(1(1(1(1(0(1(1(z0)))))))))))))))))))))) 2(0(1(0(2(2(0(1(1(2(0(2(2(2(0(z0))))))))))))))) -> 1(1(1(1(1(1(0(1(2(1(2(2(1(1(1(2(2(z0))))))))))))))))) 2(2(0(2(2(1(0(1(0(2(2(2(2(1(2(0(z0)))))))))))))))) -> 1(0(1(0(1(0(2(0(1(1(0(2(0(0(0(1(1(z0))))))))))))))))) 2(2(0(2(2(2(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))) -> 0(2(1(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0))))))))))))))))))) 2(0(0(2(2(2(2(1(2(2(1(0(2(2(0(1(0(z0))))))))))))))))) -> 2(2(2(0(1(1(1(1(1(0(1(1(1(2(0(1(2(1(1(1(1(2(1(2(z0)))))))))))))))))))))))) 2(0(1(1(1(1(0(2(0(1(0(1(1(1(2(2(1(z0))))))))))))))))) -> 1(2(1(0(1(1(2(0(2(1(1(0(0(1(1(2(1(z0))))))))))))))))) 2(0(0(0(2(0(0(0(1(0(0(2(2(0(1(2(1(0(z0)))))))))))))))))) -> 0(2(2(1(1(0(1(0(1(0(2(1(1(2(1(2(0(0(0(0(1(1(1(z0))))))))))))))))))))))) 2(2(0(1(1(0(0(0(2(0(1(0(1(0(1(0(1(2(z0)))))))))))))))))) -> 2(2(0(2(0(1(1(2(0(1(0(0(0(1(1(2(1(2(1(1(z0)))))))))))))))))))) 2(2(2(2(2(1(0(1(2(2(2(2(1(0(1(0(0(0(z0)))))))))))))))))) -> 0(1(2(1(1(1(2(1(0(0(0(1(1(0(1(1(2(2(2(2(2(2(1(0(0(z0))))))))))))))))))))))))) 2(0(1(0(2(0(0(0(2(0(2(2(0(1(0(0(1(0(2(z0))))))))))))))))))) -> 0(1(1(0(1(2(1(0(0(0(1(1(0(1(2(1(1(0(2(1(2(0(0(2(1(0(0(2(z0)))))))))))))))))))))))))))) 2(1(0(0(0(2(2(0(1(2(2(0(2(2(2(0(0(0(2(z0))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(2(2(1(2(1(0(2(0(0(1(0(1(z0))))))))))))))))))))) 2(1(2(2(2(2(0(0(1(0(2(2(1(2(1(0(2(1(0(0(z0)))))))))))))))))))) -> 2(1(0(0(2(0(1(1(2(0(1(2(1(1(1(2(1(2(1(0(1(1(1(1(2(1(z0)))))))))))))))))))))))))) 2(0(2(2(0(0(2(0(0(2(1(2(2(2(1(0(2(0(2(0(0(z0))))))))))))))))))))) -> 2(1(2(2(2(0(0(2(2(1(2(0(0(2(2(2(0(0(0(0(0(z0))))))))))))))))))))) 2(1(2(0(0(2(1(0(2(2(2(0(2(1(2(2(1(0(0(2(1(z0))))))))))))))))))))) -> 1(2(0(2(2(1(0(1(0(0(1(1(2(0(1(0(2(0(2(1(2(0(1(z0))))))))))))))))))))))) 2(2(2(1(0(0(0(0(1(0(0(2(2(1(2(1(2(0(2(2(0(z0))))))))))))))))))))) -> 1(2(0(0(1(2(0(2(1(1(0(1(2(2(0(0(1(2(1(0(0(2(2(1(z0)))))))))))))))))))))))) 2(0(1(1(0(2(1(0(2(1(2(1(1(0(0(0(2(1(1(1(1(1(z0)))))))))))))))))))))) -> 2(0(0(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))))))))) 2(0(2(0(2(0(1(1(0(0(0(2(2(0(0(2(1(1(0(2(1(2(z0)))))))))))))))))))))) -> 0(1(0(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))))))))) 2(1(1(1(0(2(2(1(2(1(0(2(2(0(0(0(1(0(2(0(0(2(z0)))))))))))))))))))))) -> 2(0(1(0(1(0(1(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))))))))))))))))))) 2(2(2(1(2(2(1(1(0(0(1(1(0(0(2(1(1(0(2(2(1(0(z0)))))))))))))))))))))) -> 1(0(2(1(2(1(2(0(0(1(2(1(2(2(2(1(1(0(0(2(1(0(z0)))))))))))))))))))))) 2(0(2(2(2(0(0(2(0(2(0(0(1(1(1(2(1(2(2(0(1(1(1(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(1(1(0(2(2(0(1(1(0(0(1(1(2(0(1(1(0(1(z0))))))))))))))))))))))))) 2(1(0(0(1(1(1(1(0(1(2(2(0(2(2(1(0(0(0(0(2(2(2(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(1(1(2(1(0(0(1(2(2(0(1(2(0(2(2(0(0(1(z0))))))))))))))))))))))))) 2(2(1(1(1(0(1(1(2(0(2(0(0(0(2(2(2(0(2(2(1(0(2(z0))))))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(1(1(2(1(2(1(0(0(0(1(2(2(0(2(1(z0)))))))))))))))))))))))))))) 2(0(2(2(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(2(0(2(1(0(z0)))))))))))))))))))))))) -> 2(2(1(2(1(0(1(1(2(1(2(0(0(0(1(0(0(1(2(1(2(2(2(2(1(2(1(2(z0)))))))))))))))))))))))))))) 2(1(1(2(2(0(2(0(1(1(2(2(2(0(1(2(2(0(0(0(2(2(1(0(z0)))))))))))))))))))))))) -> 1(2(0(0(1(2(0(0(1(0(2(2(1(0(1(1(1(1(0(1(2(2(0(0(2(z0))))))))))))))))))))))))) 2(0(1(1(2(2(0(0(0(2(0(2(0(0(1(1(1(2(2(0(0(2(1(0(2(z0))))))))))))))))))))))))) -> 1(0(2(1(0(0(1(0(2(1(2(1(2(0(1(2(0(0(1(1(0(0(1(0(1(0(z0)))))))))))))))))))))))))) 2(0(2(1(0(2(0(1(1(1(0(2(0(1(1(2(2(0(0(0(0(2(1(1(2(z0))))))))))))))))))))))))) -> 1(1(1(1(0(2(0(1(0(1(1(0(2(0(0(0(1(2(0(1(0(2(2(0(1(1(z0)))))))))))))))))))))))))) 2(0(0(2(2(0(0(1(2(2(0(2(2(1(1(1(0(1(1(2(1(2(2(1(0(0(z0)))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(0(0(2(0(1(2(1(1(2(2(2(2(0(1(2(0(1(0(2(z0)))))))))))))))))))))))))) 2(0(2(1(1(2(0(0(2(0(0(0(0(2(2(2(0(2(0(2(0(0(2(0(1(2(z0)))))))))))))))))))))))))) -> 2(0(1(1(0(2(1(0(1(2(2(2(0(0(0(2(1(1(1(1(1(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))) 2(2(0(1(2(1(1(0(0(0(0(2(2(2(2(2(0(0(0(2(0(1(2(0(1(0(z0)))))))))))))))))))))))))) -> 0(1(1(2(1(2(0(1(1(1(1(2(2(1(1(1(1(1(2(0(0(2(2(2(0(2(1(2(2(z0))))))))))))))))))))))))))))) 2(2(2(1(0(2(0(0(1(0(2(2(2(0(0(0(1(0(1(0(2(0(2(1(0(0(z0)))))))))))))))))))))))))) -> 0(0(0(0(0(2(1(0(0(0(2(1(1(0(1(2(0(0(0(0(2(2(1(1(2(1(2(z0))))))))))))))))))))))))))) 2(2(2(1(2(0(1(2(1(0(0(1(0(1(0(2(1(1(0(0(0(2(2(0(0(0(z0)))))))))))))))))))))))))) -> 0(1(1(1(1(1(1(1(0(1(1(2(0(1(0(2(0(0(1(2(0(0(1(0(1(0(1(z0))))))))))))))))))))))))))) 2(2(0(1(1(2(1(1(0(0(0(2(1(0(0(2(2(0(2(2(2(1(1(2(2(2(1(0(z0)))))))))))))))))))))))))))) -> 1(1(0(1(0(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))))))))))))))))) 2(2(2(2(2(0(0(2(2(2(1(1(0(1(2(1(0(2(0(0(2(1(0(2(0(0(0(2(z0)))))))))))))))))))))))))))) -> 1(2(2(1(0(2(0(0(0(1(1(2(0(2(0(0(1(0(1(2(0(2(0(1(1(2(0(1(0(z0))))))))))))))))))))))))))))) 2(0(0(0(1(1(2(0(0(0(2(0(2(0(2(2(2(0(1(0(2(2(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))))) -> 2(1(2(2(2(1(2(0(0(0(0(2(1(2(1(1(2(2(0(0(2(0(1(0(0(0(0(1(1(1(z0)))))))))))))))))))))))))))))) 1(1(2(2(0(z0))))) -> 1(1(1(2(2(1(z0)))))) 1(0(2(2(2(1(z0)))))) -> 1(1(1(0(1(1(0(1(z0)))))))) 1(2(2(2(2(2(1(0(z0)))))))) -> 1(2(1(2(2(2(0(2(z0)))))))) 1(1(2(0(1(1(0(0(2(z0))))))))) -> 0(1(1(2(0(1(2(1(1(2(1(2(0(1(z0)))))))))))))) 1(0(0(1(2(1(0(2(2(2(z0)))))))))) -> 1(2(1(2(2(1(0(2(1(2(1(1(z0)))))))))))) 1(2(0(2(0(2(0(0(2(0(z0)))))))))) -> 0(0(1(1(0(0(2(0(1(1(1(z0))))))))))) 1(2(1(0(0(0(2(2(2(2(0(z0))))))))))) -> 1(1(2(0(0(2(2(1(2(1(0(0(2(1(z0)))))))))))))) 1(2(2(0(0(0(0(0(1(0(2(z0))))))))))) -> 1(0(1(2(0(0(1(1(2(1(1(2(z0)))))))))))) 1(0(0(1(1(0(0(1(1(0(2(0(z0)))))))))))) -> 1(1(1(2(0(0(0(1(1(0(0(0(z0)))))))))))) 1(0(2(0(0(1(0(2(0(0(1(2(z0)))))))))))) -> 0(0(0(1(2(1(1(2(0(2(0(0(z0)))))))))))) 1(0(2(2(1(0(0(1(1(1(0(1(1(2(2(0(z0)))))))))))))))) -> 1(2(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))))))) 1(1(0(0(0(0(0(0(0(2(2(2(2(1(0(0(1(z0))))))))))))))))) -> 1(2(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))))))) 1(1(0(0(1(2(0(2(0(0(1(2(0(2(2(2(2(z0))))))))))))))))) -> 1(2(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))))))) 1(2(2(0(0(1(1(2(2(0(0(2(1(1(0(2(0(1(2(2(z0)))))))))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))))))) 1(0(0(0(1(1(2(2(0(2(1(1(1(0(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 1(1(2(1(1(2(1(2(1(1(2(1(0(0(0(2(0(2(1(2(1(0(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))) 1(2(0(2(0(1(1(0(0(0(0(1(1(1(2(2(2(2(2(2(0(2(z0)))))))))))))))))))))) -> 1(0(1(2(1(2(2(1(2(2(1(0(2(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))) 1(2(0(2(2(0(0(1(2(2(2(2(2(2(1(0(0(2(2(2(0(1(0(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(0(1(1(1(2(1(1(1(2(1(1(1(2(2(2(0(2(2(1(0(z0)))))))))))))))))))))))))))) 1(0(0(2(1(1(2(1(2(2(1(0(0(2(0(1(0(1(0(2(1(1(1(0(z0)))))))))))))))))))))))) -> 0(1(1(0(2(0(2(2(1(2(1(1(0(1(2(1(2(1(1(0(1(1(1(0(1(0(1(z0))))))))))))))))))))))))))) 1(1(1(0(2(1(1(2(2(0(1(0(0(2(1(2(0(1(1(0(0(1(2(0(z0)))))))))))))))))))))))) -> 1(2(2(2(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))))))))))))))) 1(0(1(0(0(0(2(1(0(0(1(2(0(0(0(0(2(2(2(2(2(1(2(1(1(z0))))))))))))))))))))))))) -> 1(2(1(1(0(0(1(1(2(1(1(1(0(1(0(0(0(0(2(2(1(1(0(2(0(2(1(1(1(z0))))))))))))))))))))))))))))) 1(1(2(0(1(1(0(0(0(2(0(2(2(2(2(0(1(0(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))) -> 0(0(1(2(1(2(1(1(0(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))))))))))))))) 1(1(2(2(0(2(0(1(1(1(0(0(2(0(2(0(2(1(0(2(1(2(2(0(0(1(0(0(z0)))))))))))))))))))))))))))) -> 1(2(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0)) ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) ENCODE_1(z0) -> c4(ENCARG(z0)) 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 S tuples: 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 K tuples:none Defined Rule Symbols: 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, ENCODE_0_1, ENCODE_2_1, ENCODE_1_1, 0'_1, 2'_1 Compound Symbols: c_2, c1_2, c3_2, c5_2, c2_1, c4_1, c6, c7, c11_1, c46, c47 ---------------------------------------- (11) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID)) Split RHS of tuples not part of any SCC ---------------------------------------- (12) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(0(z0)) -> 1(2(1(z0))) 0(2(z0)) -> 1(1(1(z0))) 0(0(1(0(0(z0))))) -> 1(2(0(1(1(1(z0)))))) 0(0(0(0(0(1(z0)))))) -> 1(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))))) 0(0(2(2(0(0(z0)))))) -> 1(2(2(0(1(2(1(1(1(z0))))))))) 0(1(0(1(1(2(1(0(z0)))))))) -> 1(1(2(0(1(2(1(1(2(1(z0)))))))))) 0(0(0(2(2(2(1(0(0(z0))))))))) -> 1(1(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))))))) 0(1(0(0(2(0(2(0(2(z0))))))))) -> 1(0(0(1(1(1(1(2(2(0(0(2(z0)))))))))))) 0(0(0(2(2(0(0(2(0(0(z0)))))))))) -> 1(1(2(2(0(0(0(0(1(1(2(z0))))))))))) 0(1(1(0(2(2(2(1(0(0(z0)))))))))) -> 0(2(1(1(2(2(0(1(1(2(1(2(z0)))))))))))) 0(1(2(1(0(0(1(0(2(1(1(z0))))))))))) -> 1(1(0(0(0(1(2(0(1(2(1(z0))))))))))) 0(2(1(0(0(1(0(1(0(2(0(z0))))))))))) -> 1(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))))) 0(0(2(2(2(1(0(1(0(2(0(2(z0)))))))))))) -> 1(1(1(2(0(0(0(1(0(2(0(2(2(1(z0)))))))))))))) 0(1(1(1(1(0(2(2(1(1(1(0(2(2(z0)))))))))))))) -> 1(2(1(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))))) 0(1(2(2(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))) -> 1(2(0(0(0(2(0(1(2(0(1(2(1(2(z0)))))))))))))) 0(0(0(2(1(2(0(1(2(1(2(2(2(1(0(z0))))))))))))))) -> 1(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))))) 0(0(1(0(0(1(2(0(1(2(1(2(2(0(0(z0))))))))))))))) -> 1(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))))) 0(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(z0)))))))))))))))) -> 1(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))))) 0(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(z0))))))))))))))))) -> 0(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))))) 0(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(z0)))))))))))))))))) -> 1(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))) 0(1(0(0(1(1(0(0(0(1(2(1(2(2(1(0(0(2(z0)))))))))))))))))) -> 0(1(2(1(1(1(1(2(2(1(0(0(1(1(0(1(1(2(0(1(1(1(1(z0))))))))))))))))))))))) 0(2(0(0(2(0(2(0(0(2(1(0(0(0(0(0(2(1(2(z0))))))))))))))))))) -> 1(1(0(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0)))))))))))))))))))) 0(0(2(0(1(0(1(1(0(2(0(2(0(0(1(0(0(1(1(0(z0)))))))))))))))))))) -> 0(0(2(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))) 0(2(2(1(0(0(0(1(1(0(1(0(2(2(2(0(1(2(0(2(z0)))))))))))))))))))) -> 0(2(2(0(1(1(2(0(2(2(1(1(1(0(2(1(0(2(1(1(0(z0))))))))))))))))))))) 0(0(0(2(2(1(1(0(2(1(2(2(0(1(1(0(0(1(0(0(2(z0))))))))))))))))))))) -> 0(0(2(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))))))))))))) 0(0(2(0(1(0(0(0(0(2(2(2(1(1(0(2(0(0(2(1(0(z0))))))))))))))))))))) -> 1(2(0(1(0(0(1(0(0(1(2(2(0(0(0(2(2(2(0(0(0(z0))))))))))))))))))))) 0(2(0(0(2(2(1(1(1(0(2(2(0(0(0(2(2(1(0(2(0(z0))))))))))))))))))))) -> 0(1(0(0(2(0(1(2(0(2(2(1(1(2(2(1(1(2(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))) 0(2(2(0(2(0(0(2(1(1(1(0(0(0(2(0(0(1(2(0(2(0(z0)))))))))))))))))))))) -> 1(1(2(0(0(2(1(0(2(0(1(1(2(0(0(2(2(2(1(1(0(2(1(1(1(2(z0)))))))))))))))))))))))))) 0(1(2(1(0(2(2(0(0(0(1(1(2(0(2(0(1(1(0(2(1(2(2(z0))))))))))))))))))))))) -> 1(1(1(1(1(2(2(2(0(1(1(0(2(0(2(1(2(0(1(1(1(2(0(1(2(z0))))))))))))))))))))))))) 0(0(1(2(0(1(1(1(0(2(1(0(0(2(2(2(0(0(0(0(1(2(1(1(z0)))))))))))))))))))))))) -> 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1(1(1(2(2(1(z0)))))) 1(0(2(2(2(1(z0)))))) -> 1(1(1(0(1(1(0(1(z0)))))))) 1(2(2(2(2(2(1(0(z0)))))))) -> 1(2(1(2(2(2(0(2(z0)))))))) 1(1(2(0(1(1(0(0(2(z0))))))))) -> 0(1(1(2(0(1(2(1(1(2(1(2(0(1(z0)))))))))))))) 1(0(0(1(2(1(0(2(2(2(z0)))))))))) -> 1(2(1(2(2(1(0(2(1(2(1(1(z0)))))))))))) 1(2(0(2(0(2(0(0(2(0(z0)))))))))) -> 0(0(1(1(0(0(2(0(1(1(1(z0))))))))))) 1(2(1(0(0(0(2(2(2(2(0(z0))))))))))) -> 1(1(2(0(0(2(2(1(2(1(0(0(2(1(z0)))))))))))))) 1(2(2(0(0(0(0(0(1(0(2(z0))))))))))) -> 1(0(1(2(0(0(1(1(2(1(1(2(z0)))))))))))) 1(0(0(1(1(0(0(1(1(0(2(0(z0)))))))))))) -> 1(1(1(2(0(0(0(1(1(0(0(0(z0)))))))))))) 1(0(2(0(0(1(0(2(0(0(1(2(z0)))))))))))) -> 0(0(0(1(2(1(1(2(0(2(0(0(z0)))))))))))) 1(0(2(2(1(0(0(1(1(1(0(1(1(2(2(0(z0)))))))))))))))) -> 1(2(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))))))) 1(1(0(0(0(0(0(0(0(2(2(2(2(1(0(0(1(z0))))))))))))))))) -> 1(2(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))))))) 1(1(0(0(1(2(0(2(0(0(1(2(0(2(2(2(2(z0))))))))))))))))) -> 1(2(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))))))) 1(2(2(0(0(1(1(2(2(0(0(2(1(1(0(2(0(1(2(2(z0)))))))))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))))))) 1(0(0(0(1(1(2(2(0(2(1(1(1(0(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 1(1(2(1(1(2(1(2(1(1(2(1(0(0(0(2(0(2(1(2(1(0(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))) 1(2(0(2(0(1(1(0(0(0(0(1(1(1(2(2(2(2(2(2(0(2(z0)))))))))))))))))))))) -> 1(0(1(2(1(2(2(1(2(2(1(0(2(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))) 1(2(0(2(2(0(0(1(2(2(2(2(2(2(1(0(0(2(2(2(0(1(0(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(0(1(1(1(2(1(1(1(2(1(1(1(2(2(2(0(2(2(1(0(z0)))))))))))))))))))))))))))) 1(0(0(2(1(1(2(1(2(2(1(0(0(2(0(1(0(1(0(2(1(1(1(0(z0)))))))))))))))))))))))) -> 0(1(1(0(2(0(2(2(1(2(1(1(0(1(2(1(2(1(1(0(1(1(1(0(1(0(1(z0))))))))))))))))))))))))))) 1(1(1(0(2(1(1(2(2(0(1(0(0(2(1(2(0(1(1(0(0(1(2(0(z0)))))))))))))))))))))))) -> 1(2(2(2(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))))))))))))))) 1(0(1(0(0(0(2(1(0(0(1(2(0(0(0(0(2(2(2(2(2(1(2(1(1(z0))))))))))))))))))))))))) -> 1(2(1(1(0(0(1(1(2(1(1(1(0(1(0(0(0(0(2(2(1(1(0(2(0(2(1(1(1(z0))))))))))))))))))))))))))))) 1(1(2(0(1(1(0(0(0(2(0(2(2(2(2(0(1(0(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))) -> 0(0(1(2(1(2(1(1(0(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))))))))))))))) 1(1(2(2(0(2(0(1(1(1(0(0(2(0(2(0(2(1(0(2(1(2(2(0(0(1(0(0(z0)))))))))))))))))))))))))))) -> 1(2(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) ENCODE_1(z0) -> c4(ENCARG(z0)) 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 ENCODE_0(z0) -> c8(0'(encArg(z0))) ENCODE_0(z0) -> c8(ENCARG(z0)) ENCODE_2(z0) -> c8(2'(encArg(z0))) ENCODE_2(z0) -> c8(ENCARG(z0)) S tuples: 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 K tuples:none Defined Rule Symbols: 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, ENCODE_1_1, 0'_1, 2'_1, ENCODE_0_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_1, c4_1, c6, c7, c11_1, c46, c47, c8_1 ---------------------------------------- (13) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 3 leading nodes: ENCODE_1(z0) -> c4(ENCARG(z0)) ENCODE_0(z0) -> c8(ENCARG(z0)) ENCODE_2(z0) -> c8(ENCARG(z0)) ---------------------------------------- (14) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) encode_0(z0) -> 0(encArg(z0)) encode_1(z0) -> 1(encArg(z0)) encode_2(z0) -> 2(encArg(z0)) 0(0(z0)) -> 1(2(1(z0))) 0(2(z0)) -> 1(1(1(z0))) 0(0(1(0(0(z0))))) -> 1(2(0(1(1(1(z0)))))) 0(0(0(0(0(1(z0)))))) -> 1(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))))) 0(0(2(2(0(0(z0)))))) -> 1(2(2(0(1(2(1(1(1(z0))))))))) 0(1(0(1(1(2(1(0(z0)))))))) -> 1(1(2(0(1(2(1(1(2(1(z0)))))))))) 0(0(0(2(2(2(1(0(0(z0))))))))) -> 1(1(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))))))) 0(1(0(0(2(0(2(0(2(z0))))))))) -> 1(0(0(1(1(1(1(2(2(0(0(2(z0)))))))))))) 0(0(0(2(2(0(0(2(0(0(z0)))))))))) -> 1(1(2(2(0(0(0(0(1(1(2(z0))))))))))) 0(1(1(0(2(2(2(1(0(0(z0)))))))))) -> 0(2(1(1(2(2(0(1(1(2(1(2(z0)))))))))))) 0(1(2(1(0(0(1(0(2(1(1(z0))))))))))) -> 1(1(0(0(0(1(2(0(1(2(1(z0))))))))))) 0(2(1(0(0(1(0(1(0(2(0(z0))))))))))) -> 1(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))))) 0(0(2(2(2(1(0(1(0(2(0(2(z0)))))))))))) -> 1(1(1(2(0(0(0(1(0(2(0(2(2(1(z0)))))))))))))) 0(1(1(1(1(0(2(2(1(1(1(0(2(2(z0)))))))))))))) -> 1(2(1(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))))) 0(1(2(2(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))) -> 1(2(0(0(0(2(0(1(2(0(1(2(1(2(z0)))))))))))))) 0(0(0(2(1(2(0(1(2(1(2(2(2(1(0(z0))))))))))))))) -> 1(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))))) 0(0(1(0(0(1(2(0(1(2(1(2(2(0(0(z0))))))))))))))) -> 1(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))))) 0(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(z0)))))))))))))))) -> 1(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))))) 0(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(z0))))))))))))))))) -> 0(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))))) 0(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(z0)))))))))))))))))) -> 1(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))) 0(1(0(0(1(1(0(0(0(1(2(1(2(2(1(0(0(2(z0)))))))))))))))))) -> 0(1(2(1(1(1(1(2(2(1(0(0(1(1(0(1(1(2(0(1(1(1(1(z0))))))))))))))))))))))) 0(2(0(0(2(0(2(0(0(2(1(0(0(0(0(0(2(1(2(z0))))))))))))))))))) -> 1(1(0(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0)))))))))))))))))))) 0(0(2(0(1(0(1(1(0(2(0(2(0(0(1(0(0(1(1(0(z0)))))))))))))))))))) -> 0(0(2(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))) 0(2(2(1(0(0(0(1(1(0(1(0(2(2(2(0(1(2(0(2(z0)))))))))))))))))))) -> 0(2(2(0(1(1(2(0(2(2(1(1(1(0(2(1(0(2(1(1(0(z0))))))))))))))))))))) 0(0(0(2(2(1(1(0(2(1(2(2(0(1(1(0(0(1(0(0(2(z0))))))))))))))))))))) -> 0(0(2(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))))))))))))) 0(0(2(0(1(0(0(0(0(2(2(2(1(1(0(2(0(0(2(1(0(z0))))))))))))))))))))) -> 1(2(0(1(0(0(1(0(0(1(2(2(0(0(0(2(2(2(0(0(0(z0))))))))))))))))))))) 0(2(0(0(2(2(1(1(1(0(2(2(0(0(0(2(2(1(0(2(0(z0))))))))))))))))))))) -> 0(1(0(0(2(0(1(2(0(2(2(1(1(2(2(1(1(2(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))) 0(2(2(0(2(0(0(2(1(1(1(0(0(0(2(0(0(1(2(0(2(0(z0)))))))))))))))))))))) -> 1(1(2(0(0(2(1(0(2(0(1(1(2(0(0(2(2(2(1(1(0(2(1(1(1(2(z0)))))))))))))))))))))))))) 0(1(2(1(0(2(2(0(0(0(1(1(2(0(2(0(1(1(0(2(1(2(2(z0))))))))))))))))))))))) -> 1(1(1(1(1(2(2(2(0(1(1(0(2(0(2(1(2(0(1(1(1(2(0(1(2(z0))))))))))))))))))))))))) 0(0(1(2(0(1(1(1(0(2(1(0(0(2(2(2(0(0(0(0(1(2(1(1(z0)))))))))))))))))))))))) -> 1(2(1(0(0(0(0(0(0(1(0(2(1(1(2(2(1(2(0(0(0(2(1(1(z0)))))))))))))))))))))))) 0(2(0(1(2(1(2(2(2(0(2(1(2(2(2(0(2(1(0(2(2(0(0(2(z0)))))))))))))))))))))))) -> 0(1(2(1(0(0(1(1(2(1(0(2(0(2(2(2(2(2(1(1(2(2(0(1(2(0(0(0(2(z0))))))))))))))))))))))))))))) 0(2(1(2(2(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(2(1(1(0(z0)))))))))))))))))))))))) -> 0(2(0(2(1(0(1(2(2(1(0(1(2(2(0(1(0(2(0(2(0(1(2(0(z0)))))))))))))))))))))))) 0(0(0(2(0(2(1(2(0(1(1(0(2(0(1(0(0(0(2(2(0(1(2(2(0(z0))))))))))))))))))))))))) -> 0(0(0(0(0(1(1(0(2(1(1(2(0(2(1(2(0(2(2(0(0(2(2(0(0(z0))))))))))))))))))))))))) 0(0(2(0(0(2(1(2(1(2(2(2(2(1(0(1(2(1(1(0(1(0(0(0(0(z0))))))))))))))))))))))))) -> 0(2(2(2(1(1(1(1(1(1(1(1(0(1(0(1(2(0(1(0(1(0(2(1(1(1(1(1(2(0(z0)))))))))))))))))))))))))))))) 0(2(1(0(0(0(2(2(1(1(2(0(0(0(2(1(1(1(2(1(2(2(1(0(2(z0))))))))))))))))))))))))) -> 1(2(1(1(0(2(1(1(1(1(0(0(2(1(0(1(2(1(2(0(0(1(1(2(2(1(0(0(z0)))))))))))))))))))))))))))) 0(0(0(2(1(2(2(2(1(0(1(2(0(2(2(1(2(0(1(1(1(1(0(0(0(1(z0)))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(0(1(2(1(1(2(0(2(2(0(1(0(1(0(1(1(2(2(2(1(z0)))))))))))))))))))))))))))) 0(1(0(1(1(0(2(1(1(2(1(0(1(1(0(0(2(2(0(2(2(2(0(2(0(2(z0)))))))))))))))))))))))))) -> 0(1(0(1(2(0(2(0(1(0(0(0(2(0(2(0(1(2(1(1(2(1(2(2(2(1(z0)))))))))))))))))))))))))) 0(2(1(0(1(2(2(2(1(0(1(2(1(1(0(0(0(0(1(0(0(2(1(2(1(0(2(z0))))))))))))))))))))))))))) -> 1(1(2(1(2(2(1(1(0(1(0(2(0(1(1(1(1(0(0(2(1(1(0(0(2(2(1(0(0(z0))))))))))))))))))))))))))))) 0(2(2(1(2(1(0(1(1(0(0(0(1(2(1(0(2(2(2(2(2(2(2(1(2(1(0(z0))))))))))))))))))))))))))) -> 0(2(1(2(1(0(1(1(1(2(2(0(2(2(2(0(1(2(2(2(2(0(1(2(1(1(1(1(2(1(z0)))))))))))))))))))))))))))))) 0(2(1(1(1(1(0(0(2(2(2(2(0(1(0(1(0(2(1(1(1(0(2(0(2(0(1(2(2(0(z0)))))))))))))))))))))))))))))) -> 0(2(1(1(1(0(1(0(0(2(2(1(0(0(2(2(0(1(0(2(1(0(2(1(2(1(2(2(1(0(z0)))))))))))))))))))))))))))))) 2(0(z0)) -> 1(2(1(z0))) 2(2(2(z0))) -> 1(1(2(2(1(2(1(z0))))))) 2(1(0(0(z0)))) -> 0(1(2(1(1(2(1(z0))))))) 2(0(0(0(0(1(0(z0))))))) -> 1(0(1(0(1(2(0(1(1(2(1(1(0(z0))))))))))))) 2(2(0(0(1(2(0(z0))))))) -> 0(2(1(0(0(1(2(1(1(2(0(z0))))))))))) 2(2(2(2(0(1(2(z0))))))) -> 2(2(2(0(2(1(2(z0))))))) 2(0(0(2(1(2(2(2(1(z0))))))))) -> 2(1(2(2(1(1(2(0(1(2(1(0(0(1(z0)))))))))))))) 2(1(0(1(2(0(1(2(0(z0))))))))) -> 1(2(1(2(1(2(0(2(1(1(0(z0))))))))))) 2(1(2(0(0(0(1(2(2(0(z0)))))))))) -> 1(2(1(1(0(2(1(2(0(1(0(1(1(z0))))))))))))) 2(0(2(2(2(2(1(2(0(1(1(z0))))))))))) -> 2(1(2(0(2(2(2(0(2(1(1(z0))))))))))) 2(1(0(2(0(0(1(2(2(1(2(z0))))))))))) -> 0(0(1(1(1(1(0(1(0(1(1(0(z0)))))))))))) 2(2(2(2(1(1(1(2(2(0(0(z0))))))))))) -> 1(1(1(0(1(0(0(1(1(2(0(2(1(z0))))))))))))) 2(0(0(0(2(2(2(0(1(2(2(0(z0)))))))))))) -> 2(0(2(0(1(2(1(0(0(0(0(1(0(z0))))))))))))) 2(2(0(0(0(1(1(2(2(0(2(1(2(z0))))))))))))) -> 1(0(1(0(1(1(2(1(1(1(1(1(0(0(2(0(2(0(z0)))))))))))))))))) 2(0(0(0(2(1(0(0(1(0(2(1(0(0(2(z0))))))))))))))) -> 1(1(0(2(1(0(2(1(1(2(1(1(0(1(1(1(1(1(1(0(1(1(z0)))))))))))))))))))))) 2(0(1(0(2(2(0(1(1(2(0(2(2(2(0(z0))))))))))))))) -> 1(1(1(1(1(1(0(1(2(1(2(2(1(1(1(2(2(z0))))))))))))))))) 2(2(0(2(2(1(0(1(0(2(2(2(2(1(2(0(z0)))))))))))))))) -> 1(0(1(0(1(0(2(0(1(1(0(2(0(0(0(1(1(z0))))))))))))))))) 2(2(0(2(2(2(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))) -> 0(2(1(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0))))))))))))))))))) 2(0(0(2(2(2(2(1(2(2(1(0(2(2(0(1(0(z0))))))))))))))))) -> 2(2(2(0(1(1(1(1(1(0(1(1(1(2(0(1(2(1(1(1(1(2(1(2(z0)))))))))))))))))))))))) 2(0(1(1(1(1(0(2(0(1(0(1(1(1(2(2(1(z0))))))))))))))))) -> 1(2(1(0(1(1(2(0(2(1(1(0(0(1(1(2(1(z0))))))))))))))))) 2(0(0(0(2(0(0(0(1(0(0(2(2(0(1(2(1(0(z0)))))))))))))))))) -> 0(2(2(1(1(0(1(0(1(0(2(1(1(2(1(2(0(0(0(0(1(1(1(z0))))))))))))))))))))))) 2(2(0(1(1(0(0(0(2(0(1(0(1(0(1(0(1(2(z0)))))))))))))))))) -> 2(2(0(2(0(1(1(2(0(1(0(0(0(1(1(2(1(2(1(1(z0)))))))))))))))))))) 2(2(2(2(2(1(0(1(2(2(2(2(1(0(1(0(0(0(z0)))))))))))))))))) -> 0(1(2(1(1(1(2(1(0(0(0(1(1(0(1(1(2(2(2(2(2(2(1(0(0(z0))))))))))))))))))))))))) 2(0(1(0(2(0(0(0(2(0(2(2(0(1(0(0(1(0(2(z0))))))))))))))))))) -> 0(1(1(0(1(2(1(0(0(0(1(1(0(1(2(1(1(0(2(1(2(0(0(2(1(0(0(2(z0)))))))))))))))))))))))))))) 2(1(0(0(0(2(2(0(1(2(2(0(2(2(2(0(0(0(2(z0))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(2(2(1(2(1(0(2(0(0(1(0(1(z0))))))))))))))))))))) 2(1(2(2(2(2(0(0(1(0(2(2(1(2(1(0(2(1(0(0(z0)))))))))))))))))))) -> 2(1(0(0(2(0(1(1(2(0(1(2(1(1(1(2(1(2(1(0(1(1(1(1(2(1(z0)))))))))))))))))))))))))) 2(0(2(2(0(0(2(0(0(2(1(2(2(2(1(0(2(0(2(0(0(z0))))))))))))))))))))) -> 2(1(2(2(2(0(0(2(2(1(2(0(0(2(2(2(0(0(0(0(0(z0))))))))))))))))))))) 2(1(2(0(0(2(1(0(2(2(2(0(2(1(2(2(1(0(0(2(1(z0))))))))))))))))))))) -> 1(2(0(2(2(1(0(1(0(0(1(1(2(0(1(0(2(0(2(1(2(0(1(z0))))))))))))))))))))))) 2(2(2(1(0(0(0(0(1(0(0(2(2(1(2(1(2(0(2(2(0(z0))))))))))))))))))))) -> 1(2(0(0(1(2(0(2(1(1(0(1(2(2(0(0(1(2(1(0(0(2(2(1(z0)))))))))))))))))))))))) 2(0(1(1(0(2(1(0(2(1(2(1(1(0(0(0(2(1(1(1(1(1(z0)))))))))))))))))))))) -> 2(0(0(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))))))))) 2(0(2(0(2(0(1(1(0(0(0(2(2(0(0(2(1(1(0(2(1(2(z0)))))))))))))))))))))) -> 0(1(0(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))))))))) 2(1(1(1(0(2(2(1(2(1(0(2(2(0(0(0(1(0(2(0(0(2(z0)))))))))))))))))))))) -> 2(0(1(0(1(0(1(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))))))))))))))))))) 2(2(2(1(2(2(1(1(0(0(1(1(0(0(2(1(1(0(2(2(1(0(z0)))))))))))))))))))))) -> 1(0(2(1(2(1(2(0(0(1(2(1(2(2(2(1(1(0(0(2(1(0(z0)))))))))))))))))))))) 2(0(2(2(2(0(0(2(0(2(0(0(1(1(1(2(1(2(2(0(1(1(1(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(1(1(0(2(2(0(1(1(0(0(1(1(2(0(1(1(0(1(z0))))))))))))))))))))))))) 2(1(0(0(1(1(1(1(0(1(2(2(0(2(2(1(0(0(0(0(2(2(2(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(1(1(2(1(0(0(1(2(2(0(1(2(0(2(2(0(0(1(z0))))))))))))))))))))))))) 2(2(1(1(1(0(1(1(2(0(2(0(0(0(2(2(2(0(2(2(1(0(2(z0))))))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(1(1(2(1(2(1(0(0(0(1(2(2(0(2(1(z0)))))))))))))))))))))))))))) 2(0(2(2(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(2(0(2(1(0(z0)))))))))))))))))))))))) -> 2(2(1(2(1(0(1(1(2(1(2(0(0(0(1(0(0(1(2(1(2(2(2(2(1(2(1(2(z0)))))))))))))))))))))))))))) 2(1(1(2(2(0(2(0(1(1(2(2(2(0(1(2(2(0(0(0(2(2(1(0(z0)))))))))))))))))))))))) -> 1(2(0(0(1(2(0(0(1(0(2(2(1(0(1(1(1(1(0(1(2(2(0(0(2(z0))))))))))))))))))))))))) 2(0(1(1(2(2(0(0(0(2(0(2(0(0(1(1(1(2(2(0(0(2(1(0(2(z0))))))))))))))))))))))))) -> 1(0(2(1(0(0(1(0(2(1(2(1(2(0(1(2(0(0(1(1(0(0(1(0(1(0(z0)))))))))))))))))))))))))) 2(0(2(1(0(2(0(1(1(1(0(2(0(1(1(2(2(0(0(0(0(2(1(1(2(z0))))))))))))))))))))))))) -> 1(1(1(1(0(2(0(1(0(1(1(0(2(0(0(0(1(2(0(1(0(2(2(0(1(1(z0)))))))))))))))))))))))))) 2(0(0(2(2(0(0(1(2(2(0(2(2(1(1(1(0(1(1(2(1(2(2(1(0(0(z0)))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(0(0(2(0(1(2(1(1(2(2(2(2(0(1(2(0(1(0(2(z0)))))))))))))))))))))))))) 2(0(2(1(1(2(0(0(2(0(0(0(0(2(2(2(0(2(0(2(0(0(2(0(1(2(z0)))))))))))))))))))))))))) -> 2(0(1(1(0(2(1(0(1(2(2(2(0(0(0(2(1(1(1(1(1(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))) 2(2(0(1(2(1(1(0(0(0(0(2(2(2(2(2(0(0(0(2(0(1(2(0(1(0(z0)))))))))))))))))))))))))) -> 0(1(1(2(1(2(0(1(1(1(1(2(2(1(1(1(1(1(2(0(0(2(2(2(0(2(1(2(2(z0))))))))))))))))))))))))))))) 2(2(2(1(0(2(0(0(1(0(2(2(2(0(0(0(1(0(1(0(2(0(2(1(0(0(z0)))))))))))))))))))))))))) -> 0(0(0(0(0(2(1(0(0(0(2(1(1(0(1(2(0(0(0(0(2(2(1(1(2(1(2(z0))))))))))))))))))))))))))) 2(2(2(1(2(0(1(2(1(0(0(1(0(1(0(2(1(1(0(0(0(2(2(0(0(0(z0)))))))))))))))))))))))))) -> 0(1(1(1(1(1(1(1(0(1(1(2(0(1(0(2(0(0(1(2(0(0(1(0(1(0(1(z0))))))))))))))))))))))))))) 2(2(0(1(1(2(1(1(0(0(0(2(1(0(0(2(2(0(2(2(2(1(1(2(2(2(1(0(z0)))))))))))))))))))))))))))) -> 1(1(0(1(0(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))))))))))))))))) 2(2(2(2(2(0(0(2(2(2(1(1(0(1(2(1(0(2(0(0(2(1(0(2(0(0(0(2(z0)))))))))))))))))))))))))))) -> 1(2(2(1(0(2(0(0(0(1(1(2(0(2(0(0(1(0(1(2(0(2(0(1(1(2(0(1(0(z0))))))))))))))))))))))))))))) 2(0(0(0(1(1(2(0(0(0(2(0(2(0(2(2(2(0(1(0(2(2(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))))) -> 2(1(2(2(2(1(2(0(0(0(0(2(1(2(1(1(2(2(0(0(2(0(1(0(0(0(0(1(1(1(z0)))))))))))))))))))))))))))))) 1(1(2(2(0(z0))))) -> 1(1(1(2(2(1(z0)))))) 1(0(2(2(2(1(z0)))))) -> 1(1(1(0(1(1(0(1(z0)))))))) 1(2(2(2(2(2(1(0(z0)))))))) -> 1(2(1(2(2(2(0(2(z0)))))))) 1(1(2(0(1(1(0(0(2(z0))))))))) -> 0(1(1(2(0(1(2(1(1(2(1(2(0(1(z0)))))))))))))) 1(0(0(1(2(1(0(2(2(2(z0)))))))))) -> 1(2(1(2(2(1(0(2(1(2(1(1(z0)))))))))))) 1(2(0(2(0(2(0(0(2(0(z0)))))))))) -> 0(0(1(1(0(0(2(0(1(1(1(z0))))))))))) 1(2(1(0(0(0(2(2(2(2(0(z0))))))))))) -> 1(1(2(0(0(2(2(1(2(1(0(0(2(1(z0)))))))))))))) 1(2(2(0(0(0(0(0(1(0(2(z0))))))))))) -> 1(0(1(2(0(0(1(1(2(1(1(2(z0)))))))))))) 1(0(0(1(1(0(0(1(1(0(2(0(z0)))))))))))) -> 1(1(1(2(0(0(0(1(1(0(0(0(z0)))))))))))) 1(0(2(0(0(1(0(2(0(0(1(2(z0)))))))))))) -> 0(0(0(1(2(1(1(2(0(2(0(0(z0)))))))))))) 1(0(2(2(1(0(0(1(1(1(0(1(1(2(2(0(z0)))))))))))))))) -> 1(2(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))))))) 1(1(0(0(0(0(0(0(0(2(2(2(2(1(0(0(1(z0))))))))))))))))) -> 1(2(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))))))) 1(1(0(0(1(2(0(2(0(0(1(2(0(2(2(2(2(z0))))))))))))))))) -> 1(2(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))))))) 1(2(2(0(0(1(1(2(2(0(0(2(1(1(0(2(0(1(2(2(z0)))))))))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))))))) 1(0(0(0(1(1(2(2(0(2(1(1(1(0(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 1(1(2(1(1(2(1(2(1(1(2(1(0(0(0(2(0(2(1(2(1(0(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))) 1(2(0(2(0(1(1(0(0(0(0(1(1(1(2(2(2(2(2(2(0(2(z0)))))))))))))))))))))) -> 1(0(1(2(1(2(2(1(2(2(1(0(2(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))) 1(2(0(2(2(0(0(1(2(2(2(2(2(2(1(0(0(2(2(2(0(1(0(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(0(1(1(1(2(1(1(1(2(1(1(1(2(2(2(0(2(2(1(0(z0)))))))))))))))))))))))))))) 1(0(0(2(1(1(2(1(2(2(1(0(0(2(0(1(0(1(0(2(1(1(1(0(z0)))))))))))))))))))))))) -> 0(1(1(0(2(0(2(2(1(2(1(1(0(1(2(1(2(1(1(0(1(1(1(0(1(0(1(z0))))))))))))))))))))))))))) 1(1(1(0(2(1(1(2(2(0(1(0(0(2(1(2(0(1(1(0(0(1(2(0(z0)))))))))))))))))))))))) -> 1(2(2(2(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))))))))))))))) 1(0(1(0(0(0(2(1(0(0(1(2(0(0(0(0(2(2(2(2(2(1(2(1(1(z0))))))))))))))))))))))))) -> 1(2(1(1(0(0(1(1(2(1(1(1(0(1(0(0(0(0(2(2(1(1(0(2(0(2(1(1(1(z0))))))))))))))))))))))))))))) 1(1(2(0(1(1(0(0(0(2(0(2(2(2(2(0(1(0(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))) -> 0(0(1(2(1(2(1(1(0(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))))))))))))))) 1(1(2(2(0(2(0(1(1(1(0(0(2(0(2(0(2(1(0(2(1(2(2(0(0(1(0(0(z0)))))))))))))))))))))))))))) -> 1(2(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 ENCODE_0(z0) -> c8(0'(encArg(z0))) ENCODE_2(z0) -> c8(2'(encArg(z0))) S tuples: 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 K tuples:none Defined Rule Symbols: 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 2'_1, ENCODE_0_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_1, c6, c7, c11_1, c46, c47, c8_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_2(z0) -> 2(encArg(z0)) 0(0(1(0(0(z0))))) -> 1(2(0(1(1(1(z0)))))) 0(0(0(0(0(1(z0)))))) -> 1(2(0(2(1(2(1(1(2(1(1(1(0(1(2(1(2(1(0(0(1(z0))))))))))))))))))))) 0(0(2(2(0(0(z0)))))) -> 1(2(2(0(1(2(1(1(1(z0))))))))) 0(0(0(2(2(2(1(0(0(z0))))))))) -> 1(1(2(0(1(1(0(2(0(2(1(2(1(2(1(2(1(2(1(z0))))))))))))))))))) 0(1(0(0(2(0(2(0(2(z0))))))))) -> 1(0(0(1(1(1(1(2(2(0(0(2(z0)))))))))))) 0(0(0(2(2(0(0(2(0(0(z0)))))))))) -> 1(1(2(2(0(0(0(0(1(1(2(z0))))))))))) 0(1(1(0(2(2(2(1(0(0(z0)))))))))) -> 0(2(1(1(2(2(0(1(1(2(1(2(z0)))))))))))) 0(1(2(1(0(0(1(0(2(1(1(z0))))))))))) -> 1(1(0(0(0(1(2(0(1(2(1(z0))))))))))) 0(2(1(0(0(1(0(1(0(2(0(z0))))))))))) -> 1(0(1(1(0(1(2(0(1(2(1(1(0(1(1(2(0(z0))))))))))))))))) 0(0(2(2(2(1(0(1(0(2(0(2(z0)))))))))))) -> 1(1(1(2(0(0(0(1(0(2(0(2(2(1(z0)))))))))))))) 0(1(1(1(1(0(2(2(1(1(1(0(2(2(z0)))))))))))))) -> 1(2(1(0(1(1(1(2(2(1(2(0(0(1(z0)))))))))))))) 0(1(2(2(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))) -> 1(2(0(0(0(2(0(1(2(0(1(2(1(2(z0)))))))))))))) 0(0(0(2(1(2(0(1(2(1(2(2(2(1(0(z0))))))))))))))) -> 1(2(0(1(0(2(1(1(0(0(1(1(1(0(0(1(z0)))))))))))))))) 0(0(1(0(0(1(2(0(1(2(1(2(2(0(0(z0))))))))))))))) -> 1(0(1(2(1(1(0(2(1(2(1(2(0(2(1(0(z0)))))))))))))))) 0(2(2(0(2(2(1(1(0(2(1(0(1(2(0(0(z0)))))))))))))))) -> 1(2(2(1(1(1(1(1(0(2(1(2(0(0(0(0(1(2(z0)))))))))))))))))) 0(2(2(0(1(0(2(0(1(0(0(2(2(2(1(2(0(z0))))))))))))))))) -> 0(1(1(0(1(2(0(1(2(1(1(2(1(1(2(0(0(0(0(z0))))))))))))))))))) 0(0(2(2(1(2(1(1(0(0(1(2(0(0(2(2(2(1(z0)))))))))))))))))) -> 1(1(2(1(0(2(1(0(1(1(2(0(1(0(0(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))) 0(1(0(0(1(1(0(0(0(1(2(1(2(2(1(0(0(2(z0)))))))))))))))))) -> 0(1(2(1(1(1(1(2(2(1(0(0(1(1(0(1(1(2(0(1(1(1(1(z0))))))))))))))))))))))) 0(2(0(0(2(0(2(0(0(2(1(0(0(0(0(0(2(1(2(z0))))))))))))))))))) -> 1(1(0(2(2(2(0(2(1(0(1(0(2(0(0(1(2(2(1(1(z0)))))))))))))))))))) 0(0(2(0(1(0(1(1(0(2(0(2(0(0(1(0(0(1(1(0(z0)))))))))))))))))))) -> 0(0(2(1(2(2(1(0(2(0(2(1(1(1(2(1(2(1(1(2(1(2(0(1(1(2(0(0(0(z0))))))))))))))))))))))))))))) 0(2(2(1(0(0(0(1(1(0(1(0(2(2(2(0(1(2(0(2(z0)))))))))))))))))))) -> 0(2(2(0(1(1(2(0(2(2(1(1(1(0(2(1(0(2(1(1(0(z0))))))))))))))))))))) 0(0(0(2(2(1(1(0(2(1(2(2(0(1(1(0(0(1(0(0(2(z0))))))))))))))))))))) -> 0(0(2(1(1(2(0(0(1(0(0(0(1(0(1(0(1(2(1(1(2(2(1(1(1(0(2(z0))))))))))))))))))))))))))) 0(0(2(0(1(0(0(0(0(2(2(2(1(1(0(2(0(0(2(1(0(z0))))))))))))))))))))) -> 1(2(0(1(0(0(1(0(0(1(2(2(0(0(0(2(2(2(0(0(0(z0))))))))))))))))))))) 0(2(0(0(2(2(1(1(1(0(2(2(0(0(0(2(2(1(0(2(0(z0))))))))))))))))))))) -> 0(1(0(0(2(0(1(2(0(2(2(1(1(2(2(1(1(2(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))) 0(2(2(0(2(0(0(2(1(1(1(0(0(0(2(0(0(1(2(0(2(0(z0)))))))))))))))))))))) -> 1(1(2(0(0(2(1(0(2(0(1(1(2(0(0(2(2(2(1(1(0(2(1(1(1(2(z0)))))))))))))))))))))))))) 0(1(2(1(0(2(2(0(0(0(1(1(2(0(2(0(1(1(0(2(1(2(2(z0))))))))))))))))))))))) -> 1(1(1(1(1(2(2(2(0(1(1(0(2(0(2(1(2(0(1(1(1(2(0(1(2(z0))))))))))))))))))))))))) 0(0(1(2(0(1(1(1(0(2(1(0(0(2(2(2(0(0(0(0(1(2(1(1(z0)))))))))))))))))))))))) -> 1(2(1(0(0(0(0(0(0(1(0(2(1(1(2(2(1(2(0(0(0(2(1(1(z0)))))))))))))))))))))))) 0(2(0(1(2(1(2(2(2(0(2(1(2(2(2(0(2(1(0(2(2(0(0(2(z0)))))))))))))))))))))))) -> 0(1(2(1(0(0(1(1(2(1(0(2(0(2(2(2(2(2(1(1(2(2(0(1(2(0(0(0(2(z0))))))))))))))))))))))))))))) 0(2(1(2(2(2(2(0(2(0(0(1(0(1(0(0(1(0(2(2(2(1(1(0(z0)))))))))))))))))))))))) -> 0(2(0(2(1(0(1(2(2(1(0(1(2(2(0(1(0(2(0(2(0(1(2(0(z0)))))))))))))))))))))))) 0(0(0(2(0(2(1(2(0(1(1(0(2(0(1(0(0(0(2(2(0(1(2(2(0(z0))))))))))))))))))))))))) -> 0(0(0(0(0(1(1(0(2(1(1(2(0(2(1(2(0(2(2(0(0(2(2(0(0(z0))))))))))))))))))))))))) 0(0(2(0(0(2(1(2(1(2(2(2(2(1(0(1(2(1(1(0(1(0(0(0(0(z0))))))))))))))))))))))))) -> 0(2(2(2(1(1(1(1(1(1(1(1(0(1(0(1(2(0(1(0(1(0(2(1(1(1(1(1(2(0(z0)))))))))))))))))))))))))))))) 0(2(1(0(0(0(2(2(1(1(2(0(0(0(2(1(1(1(2(1(2(2(1(0(2(z0))))))))))))))))))))))))) -> 1(2(1(1(0(2(1(1(1(1(0(0(2(1(0(1(2(1(2(0(0(1(1(2(2(1(0(0(z0)))))))))))))))))))))))))))) 0(0(0(2(1(2(2(2(1(0(1(2(0(2(2(1(2(0(1(1(1(1(0(0(0(1(z0)))))))))))))))))))))))))) -> 1(0(0(2(1(0(1(2(0(1(2(1(1(2(0(2(2(0(1(0(1(0(1(1(2(2(2(1(z0)))))))))))))))))))))))))))) 0(1(0(1(1(0(2(1(1(2(1(0(1(1(0(0(2(2(0(2(2(2(0(2(0(2(z0)))))))))))))))))))))))))) -> 0(1(0(1(2(0(2(0(1(0(0(0(2(0(2(0(1(2(1(1(2(1(2(2(2(1(z0)))))))))))))))))))))))))) 0(2(1(0(1(2(2(2(1(0(1(2(1(1(0(0(0(0(1(0(0(2(1(2(1(0(2(z0))))))))))))))))))))))))))) -> 1(1(2(1(2(2(1(1(0(1(0(2(0(1(1(1(1(0(0(2(1(1(0(0(2(2(1(0(0(z0))))))))))))))))))))))))))))) 0(2(2(1(2(1(0(1(1(0(0(0(1(2(1(0(2(2(2(2(2(2(2(1(2(1(0(z0))))))))))))))))))))))))))) -> 0(2(1(2(1(0(1(1(1(2(2(0(2(2(2(0(1(2(2(2(2(0(1(2(1(1(1(1(2(1(z0)))))))))))))))))))))))))))))) 0(2(1(1(1(1(0(0(2(2(2(2(0(1(0(1(0(2(1(1(1(0(2(0(2(0(1(2(2(0(z0)))))))))))))))))))))))))))))) -> 0(2(1(1(1(0(1(0(0(2(2(1(0(0(2(2(0(1(0(2(1(0(2(1(2(1(2(2(1(0(z0)))))))))))))))))))))))))))))) 2(1(0(0(z0)))) -> 0(1(2(1(1(2(1(z0))))))) 2(0(0(0(0(1(0(z0))))))) -> 1(0(1(0(1(2(0(1(1(2(1(1(0(z0))))))))))))) 2(2(0(0(1(2(0(z0))))))) -> 0(2(1(0(0(1(2(1(1(2(0(z0))))))))))) 2(2(2(2(0(1(2(z0))))))) -> 2(2(2(0(2(1(2(z0))))))) 2(0(0(2(1(2(2(2(1(z0))))))))) -> 2(1(2(2(1(1(2(0(1(2(1(0(0(1(z0)))))))))))))) 2(1(0(1(2(0(1(2(0(z0))))))))) -> 1(2(1(2(1(2(0(2(1(1(0(z0))))))))))) 2(1(2(0(0(0(1(2(2(0(z0)))))))))) -> 1(2(1(1(0(2(1(2(0(1(0(1(1(z0))))))))))))) 2(0(2(2(2(2(1(2(0(1(1(z0))))))))))) -> 2(1(2(0(2(2(2(0(2(1(1(z0))))))))))) 2(1(0(2(0(0(1(2(2(1(2(z0))))))))))) -> 0(0(1(1(1(1(0(1(0(1(1(0(z0)))))))))))) 2(2(2(2(1(1(1(2(2(0(0(z0))))))))))) -> 1(1(1(0(1(0(0(1(1(2(0(2(1(z0))))))))))))) 2(0(0(0(2(2(2(0(1(2(2(0(z0)))))))))))) -> 2(0(2(0(1(2(1(0(0(0(0(1(0(z0))))))))))))) 2(2(0(0(0(1(1(2(2(0(2(1(2(z0))))))))))))) -> 1(0(1(0(1(1(2(1(1(1(1(1(0(0(2(0(2(0(z0)))))))))))))))))) 2(0(0(0(2(1(0(0(1(0(2(1(0(0(2(z0))))))))))))))) -> 1(1(0(2(1(0(2(1(1(2(1(1(0(1(1(1(1(1(1(0(1(1(z0)))))))))))))))))))))) 2(0(1(0(2(2(0(1(1(2(0(2(2(2(0(z0))))))))))))))) -> 1(1(1(1(1(1(0(1(2(1(2(2(1(1(1(2(2(z0))))))))))))))))) 2(2(0(2(2(1(0(1(0(2(2(2(2(1(2(0(z0)))))))))))))))) -> 1(0(1(0(1(0(2(0(1(1(0(2(0(0(0(1(1(z0))))))))))))))))) 2(2(0(2(2(2(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))) -> 0(2(1(1(1(1(0(1(0(0(0(1(0(0(0(0(0(1(2(z0))))))))))))))))))) 2(0(0(2(2(2(2(1(2(2(1(0(2(2(0(1(0(z0))))))))))))))))) -> 2(2(2(0(1(1(1(1(1(0(1(1(1(2(0(1(2(1(1(1(1(2(1(2(z0)))))))))))))))))))))))) 2(0(1(1(1(1(0(2(0(1(0(1(1(1(2(2(1(z0))))))))))))))))) -> 1(2(1(0(1(1(2(0(2(1(1(0(0(1(1(2(1(z0))))))))))))))))) 2(0(0(0(2(0(0(0(1(0(0(2(2(0(1(2(1(0(z0)))))))))))))))))) -> 0(2(2(1(1(0(1(0(1(0(2(1(1(2(1(2(0(0(0(0(1(1(1(z0))))))))))))))))))))))) 2(2(0(1(1(0(0(0(2(0(1(0(1(0(1(0(1(2(z0)))))))))))))))))) -> 2(2(0(2(0(1(1(2(0(1(0(0(0(1(1(2(1(2(1(1(z0)))))))))))))))))))) 2(2(2(2(2(1(0(1(2(2(2(2(1(0(1(0(0(0(z0)))))))))))))))))) -> 0(1(2(1(1(1(2(1(0(0(0(1(1(0(1(1(2(2(2(2(2(2(1(0(0(z0))))))))))))))))))))))))) 2(0(1(0(2(0(0(0(2(0(2(2(0(1(0(0(1(0(2(z0))))))))))))))))))) -> 0(1(1(0(1(2(1(0(0(0(1(1(0(1(2(1(1(0(2(1(2(0(0(2(1(0(0(2(z0)))))))))))))))))))))))))))) 2(1(0(0(0(2(2(0(1(2(2(0(2(2(2(0(0(0(2(z0))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(2(2(1(2(1(0(2(0(0(1(0(1(z0))))))))))))))))))))) 2(1(2(2(2(2(0(0(1(0(2(2(1(2(1(0(2(1(0(0(z0)))))))))))))))))))) -> 2(1(0(0(2(0(1(1(2(0(1(2(1(1(1(2(1(2(1(0(1(1(1(1(2(1(z0)))))))))))))))))))))))))) 2(0(2(2(0(0(2(0(0(2(1(2(2(2(1(0(2(0(2(0(0(z0))))))))))))))))))))) -> 2(1(2(2(2(0(0(2(2(1(2(0(0(2(2(2(0(0(0(0(0(z0))))))))))))))))))))) 2(1(2(0(0(2(1(0(2(2(2(0(2(1(2(2(1(0(0(2(1(z0))))))))))))))))))))) -> 1(2(0(2(2(1(0(1(0(0(1(1(2(0(1(0(2(0(2(1(2(0(1(z0))))))))))))))))))))))) 2(2(2(1(0(0(0(0(1(0(0(2(2(1(2(1(2(0(2(2(0(z0))))))))))))))))))))) -> 1(2(0(0(1(2(0(2(1(1(0(1(2(2(0(0(1(2(1(0(0(2(2(1(z0)))))))))))))))))))))))) 2(0(1(1(0(2(1(0(2(1(2(1(1(0(0(0(2(1(1(1(1(1(z0)))))))))))))))))))))) -> 2(0(0(0(0(0(1(2(1(1(1(1(1(2(1(1(0(1(2(2(1(1(z0)))))))))))))))))))))) 2(0(2(0(2(0(1(1(0(0(0(2(2(0(0(2(1(1(0(2(1(2(z0)))))))))))))))))))))) -> 0(1(0(1(1(1(1(2(1(0(0(1(1(0(2(1(1(0(1(0(0(1(1(0(1(z0))))))))))))))))))))))))) 2(1(1(1(0(2(2(1(2(1(0(2(2(0(0(0(1(0(2(0(0(2(z0)))))))))))))))))))))) -> 2(0(1(0(1(0(1(1(0(1(1(0(1(2(1(1(1(0(0(1(0(0(2(0(1(0(1(1(z0)))))))))))))))))))))))))))) 2(2(2(1(2(2(1(1(0(0(1(1(0(0(2(1(1(0(2(2(1(0(z0)))))))))))))))))))))) -> 1(0(2(1(2(1(2(0(0(1(2(1(2(2(2(1(1(0(0(2(1(0(z0)))))))))))))))))))))) 2(0(2(2(2(0(0(2(0(2(0(0(1(1(1(2(1(2(2(0(1(1(1(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(1(1(0(2(2(0(1(1(0(0(1(1(2(0(1(1(0(1(z0))))))))))))))))))))))))) 2(1(0(0(1(1(1(1(0(1(2(2(0(2(2(1(0(0(0(0(2(2(2(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(1(1(2(1(0(0(1(2(2(0(1(2(0(2(2(0(0(1(z0))))))))))))))))))))))))) 2(2(1(1(1(0(1(1(2(0(2(0(0(0(2(2(2(0(2(2(1(0(2(z0))))))))))))))))))))))) -> 0(1(1(1(1(0(1(1(2(0(0(2(2(1(1(2(1(2(1(0(0(0(1(2(2(0(2(1(z0)))))))))))))))))))))))))))) 2(0(2(2(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(2(0(2(1(0(z0)))))))))))))))))))))))) -> 2(2(1(2(1(0(1(1(2(1(2(0(0(0(1(0(0(1(2(1(2(2(2(2(1(2(1(2(z0)))))))))))))))))))))))))))) 2(1(1(2(2(0(2(0(1(1(2(2(2(0(1(2(2(0(0(0(2(2(1(0(z0)))))))))))))))))))))))) -> 1(2(0(0(1(2(0(0(1(0(2(2(1(0(1(1(1(1(0(1(2(2(0(0(2(z0))))))))))))))))))))))))) 2(0(1(1(2(2(0(0(0(2(0(2(0(0(1(1(1(2(2(0(0(2(1(0(2(z0))))))))))))))))))))))))) -> 1(0(2(1(0(0(1(0(2(1(2(1(2(0(1(2(0(0(1(1(0(0(1(0(1(0(z0)))))))))))))))))))))))))) 2(0(2(1(0(2(0(1(1(1(0(2(0(1(1(2(2(0(0(0(0(2(1(1(2(z0))))))))))))))))))))))))) -> 1(1(1(1(0(2(0(1(0(1(1(0(2(0(0(0(1(2(0(1(0(2(2(0(1(1(z0)))))))))))))))))))))))))) 2(0(0(2(2(0(0(1(2(2(0(2(2(1(1(1(0(1(1(2(1(2(2(1(0(0(z0)))))))))))))))))))))))))) -> 0(1(0(1(2(1(2(0(0(2(0(1(2(1(1(2(2(2(2(0(1(2(0(1(0(2(z0)))))))))))))))))))))))))) 2(0(2(1(1(2(0(0(2(0(0(0(0(2(2(2(0(2(0(2(0(0(2(0(1(2(z0)))))))))))))))))))))))))) -> 2(0(1(1(0(2(1(0(1(2(2(2(0(0(0(2(1(1(1(1(1(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))) 2(2(0(1(2(1(1(0(0(0(0(2(2(2(2(2(0(0(0(2(0(1(2(0(1(0(z0)))))))))))))))))))))))))) -> 0(1(1(2(1(2(0(1(1(1(1(2(2(1(1(1(1(1(2(0(0(2(2(2(0(2(1(2(2(z0))))))))))))))))))))))))))))) 2(2(2(1(0(2(0(0(1(0(2(2(2(0(0(0(1(0(1(0(2(0(2(1(0(0(z0)))))))))))))))))))))))))) -> 0(0(0(0(0(2(1(0(0(0(2(1(1(0(1(2(0(0(0(0(2(2(1(1(2(1(2(z0))))))))))))))))))))))))))) 2(2(2(1(2(0(1(2(1(0(0(1(0(1(0(2(1(1(0(0(0(2(2(0(0(0(z0)))))))))))))))))))))))))) -> 0(1(1(1(1(1(1(1(0(1(1(2(0(1(0(2(0(0(1(2(0(0(1(0(1(0(1(z0))))))))))))))))))))))))))) 2(2(0(1(1(2(1(1(0(0(0(2(1(0(0(2(2(0(2(2(2(1(1(2(2(2(1(0(z0)))))))))))))))))))))))))))) -> 1(1(0(1(0(0(1(2(1(0(0(1(1(2(1(1(2(1(0(0(0(2(2(2(0(2(2(2(1(z0))))))))))))))))))))))))))))) 2(2(2(2(2(0(0(2(2(2(1(1(0(1(2(1(0(2(0(0(2(1(0(2(0(0(0(2(z0)))))))))))))))))))))))))))) -> 1(2(2(1(0(2(0(0(0(1(1(2(0(2(0(0(1(0(1(2(0(2(0(1(1(2(0(1(0(z0))))))))))))))))))))))))))))) 2(0(0(0(1(1(2(0(0(0(2(0(2(0(2(2(2(0(1(0(2(2(1(1(2(1(2(2(2(z0))))))))))))))))))))))))))))) -> 2(1(2(2(2(1(2(0(0(0(0(2(1(2(1(1(2(2(0(0(2(0(1(0(0(0(0(1(1(1(z0)))))))))))))))))))))))))))))) 1(1(2(2(0(z0))))) -> 1(1(1(2(2(1(z0)))))) 1(0(2(2(2(1(z0)))))) -> 1(1(1(0(1(1(0(1(z0)))))))) 1(2(2(2(2(2(1(0(z0)))))))) -> 1(2(1(2(2(2(0(2(z0)))))))) 1(1(2(0(1(1(0(0(2(z0))))))))) -> 0(1(1(2(0(1(2(1(1(2(1(2(0(1(z0)))))))))))))) 1(0(0(1(2(1(0(2(2(2(z0)))))))))) -> 1(2(1(2(2(1(0(2(1(2(1(1(z0)))))))))))) 1(2(0(2(0(2(0(0(2(0(z0)))))))))) -> 0(0(1(1(0(0(2(0(1(1(1(z0))))))))))) 1(2(1(0(0(0(2(2(2(2(0(z0))))))))))) -> 1(1(2(0(0(2(2(1(2(1(0(0(2(1(z0)))))))))))))) 1(2(2(0(0(0(0(0(1(0(2(z0))))))))))) -> 1(0(1(2(0(0(1(1(2(1(1(2(z0)))))))))))) 1(0(0(1(1(0(0(1(1(0(2(0(z0)))))))))))) -> 1(1(1(2(0(0(0(1(1(0(0(0(z0)))))))))))) 1(0(2(0(0(1(0(2(0(0(1(2(z0)))))))))))) -> 0(0(0(1(2(1(1(2(0(2(0(0(z0)))))))))))) 1(0(2(2(1(0(0(1(1(1(0(1(1(2(2(0(z0)))))))))))))))) -> 1(2(1(2(0(1(1(0(2(0(0(0(1(2(1(2(0(2(1(2(0(z0))))))))))))))))))))) 1(1(0(0(0(0(0(0(0(2(2(2(2(1(0(0(1(z0))))))))))))))))) -> 1(2(1(0(2(0(0(2(0(0(1(1(1(0(1(1(2(1(0(0(1(z0))))))))))))))))))))) 1(1(0(0(1(2(0(2(0(0(1(2(0(2(2(2(2(z0))))))))))))))))) -> 1(2(1(2(0(2(0(2(0(1(0(1(2(1(0(1(0(2(z0)))))))))))))))))) 1(2(2(0(0(1(1(2(2(0(0(2(1(1(0(2(0(1(2(2(z0)))))))))))))))))))) -> 0(1(1(1(0(0(0(2(2(0(2(1(0(1(1(1(0(2(1(0(1(1(1(1(2(0(z0)))))))))))))))))))))))))) 1(0(0(0(1(1(2(2(0(2(1(1(1(0(0(0(2(0(0(1(1(z0))))))))))))))))))))) -> 1(1(2(1(1(2(1(2(1(1(2(1(0(0(0(2(0(2(1(2(1(0(1(0(2(1(2(0(1(z0))))))))))))))))))))))))))))) 1(2(0(2(0(1(1(0(0(0(0(1(1(1(2(2(2(2(2(2(0(2(z0)))))))))))))))))))))) -> 1(0(1(2(1(2(2(1(2(2(1(0(2(2(2(0(0(1(1(0(2(1(2(z0))))))))))))))))))))))) 1(2(0(2(2(0(0(1(2(2(2(2(2(2(1(0(0(2(2(2(0(1(0(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(0(1(1(1(2(1(1(1(2(1(1(1(2(2(2(0(2(2(1(0(z0)))))))))))))))))))))))))))) 1(0(0(2(1(1(2(1(2(2(1(0(0(2(0(1(0(1(0(2(1(1(1(0(z0)))))))))))))))))))))))) -> 0(1(1(0(2(0(2(2(1(2(1(1(0(1(2(1(2(1(1(0(1(1(1(0(1(0(1(z0))))))))))))))))))))))))))) 1(1(1(0(2(1(1(2(2(0(1(0(0(2(1(2(0(1(1(0(0(1(2(0(z0)))))))))))))))))))))))) -> 1(2(2(2(1(2(1(2(1(1(2(2(1(1(2(1(0(2(0(1(1(1(2(1(1(1(z0)))))))))))))))))))))))))) 1(0(1(0(0(0(2(1(0(0(1(2(0(0(0(0(2(2(2(2(2(1(2(1(1(z0))))))))))))))))))))))))) -> 1(2(1(1(0(0(1(1(2(1(1(1(0(1(0(0(0(0(2(2(1(1(0(2(0(2(1(1(1(z0))))))))))))))))))))))))))))) 1(1(2(0(1(1(0(0(0(2(0(2(2(2(2(0(1(0(0(0(0(0(1(2(2(0(2(0(z0)))))))))))))))))))))))))))) -> 0(0(1(2(1(2(1(1(0(0(0(0(2(1(2(2(1(0(1(0(1(0(1(2(0(2(1(2(1(z0))))))))))))))))))))))))))))) 1(1(2(2(0(2(0(1(1(1(0(0(2(0(2(0(2(1(0(2(1(2(2(0(0(1(0(0(z0)))))))))))))))))))))))))))) -> 1(2(1(0(2(2(1(0(2(0(1(2(1(0(1(0(0(2(0(2(0(0(1(1(2(2(1(1(1(0(z0)))))))))))))))))))))))))))))) ---------------------------------------- (16) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) 0(0(z0)) -> 1(2(1(z0))) 0(2(z0)) -> 1(1(1(z0))) 0(1(0(1(1(2(1(0(z0)))))))) -> 1(1(2(0(1(2(1(1(2(1(z0)))))))))) 2(0(z0)) -> 1(2(1(z0))) 2(2(2(z0))) -> 1(1(2(2(1(2(1(z0))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 ENCODE_0(z0) -> c8(0'(encArg(z0))) ENCODE_2(z0) -> c8(2'(encArg(z0))) S tuples: 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 K tuples:none Defined Rule Symbols: encArg_1, 0_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 2'_1, ENCODE_0_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_1, c6, c7, c11_1, c46, c47, c8_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. 2'(2(2(z0))) -> c47 We considered the (Usable) Rules: 2(2(2(z0))) -> 1(1(2(2(1(2(1(z0))))))) 0(0(z0)) -> 1(2(1(z0))) 0(2(z0)) -> 1(1(1(z0))) encArg(cons_2(z0)) -> 2(encArg(z0)) 2(0(z0)) -> 1(2(1(z0))) encArg(cons_1(z0)) -> 1(encArg(z0)) 0(1(0(1(1(2(1(0(z0)))))))) -> 1(1(2(0(1(2(1(1(2(1(z0)))))))))) encArg(cons_0(z0)) -> 0(encArg(z0)) And the Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 ENCODE_0(z0) -> c8(0'(encArg(z0))) ENCODE_2(z0) -> c8(2'(encArg(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)) = 0 POL(2(x_1)) = [1] POL(2'(x_1)) = x_1 POL(ENCARG(x_1)) = x_1 POL(ENCODE_0(x_1)) = x_1 POL(ENCODE_2(x_1)) = [1] POL(c(x_1, x_2)) = x_1 + x_2 POL(c1(x_1, x_2)) = x_1 + x_2 POL(c11(x_1)) = x_1 POL(c2(x_1)) = x_1 POL(c46) = 0 POL(c47) = 0 POL(c6) = 0 POL(c7) = 0 POL(c8(x_1)) = x_1 POL(cons_0(x_1)) = [1] + x_1 POL(cons_1(x_1)) = [1] + x_1 POL(cons_2(x_1)) = [1] + x_1 POL(encArg(x_1)) = [1] ---------------------------------------- (18) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) 0(0(z0)) -> 1(2(1(z0))) 0(2(z0)) -> 1(1(1(z0))) 0(1(0(1(1(2(1(0(z0)))))))) -> 1(1(2(0(1(2(1(1(2(1(z0)))))))))) 2(0(z0)) -> 1(2(1(z0))) 2(2(2(z0))) -> 1(1(2(2(1(2(1(z0))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 ENCODE_0(z0) -> c8(0'(encArg(z0))) ENCODE_2(z0) -> c8(2'(encArg(z0))) S tuples: 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 K tuples: 2'(2(2(z0))) -> c47 Defined Rule Symbols: encArg_1, 0_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 2'_1, ENCODE_0_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_1, c6, c7, c11_1, c46, c47, c8_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. 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) We considered the (Usable) Rules:none And the Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 ENCODE_0(z0) -> c8(0'(encArg(z0))) ENCODE_2(z0) -> c8(2'(encArg(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)) = 0 POL(2(x_1)) = 0 POL(2'(x_1)) = 0 POL(ENCARG(x_1)) = x_1 POL(ENCODE_0(x_1)) = [1] + x_1 POL(ENCODE_2(x_1)) = 0 POL(c(x_1, x_2)) = x_1 + x_2 POL(c1(x_1, x_2)) = x_1 + x_2 POL(c11(x_1)) = x_1 POL(c2(x_1)) = x_1 POL(c46) = 0 POL(c47) = 0 POL(c6) = 0 POL(c7) = 0 POL(c8(x_1)) = x_1 POL(cons_0(x_1)) = [2] + x_1 POL(cons_1(x_1)) = [3] + x_1 POL(cons_2(x_1)) = x_1 POL(encArg(x_1)) = [1] ---------------------------------------- (20) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) 0(0(z0)) -> 1(2(1(z0))) 0(2(z0)) -> 1(1(1(z0))) 0(1(0(1(1(2(1(0(z0)))))))) -> 1(1(2(0(1(2(1(1(2(1(z0)))))))))) 2(0(z0)) -> 1(2(1(z0))) 2(2(2(z0))) -> 1(1(2(2(1(2(1(z0))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 ENCODE_0(z0) -> c8(0'(encArg(z0))) ENCODE_2(z0) -> c8(2'(encArg(z0))) S tuples: 2'(0(z0)) -> c46 K tuples: 2'(2(2(z0))) -> c47 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) Defined Rule Symbols: encArg_1, 0_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 2'_1, ENCODE_0_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_1, c6, c7, c11_1, c46, c47, c8_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. 2'(0(z0)) -> c46 We considered the (Usable) Rules:none And the Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 ENCODE_0(z0) -> c8(0'(encArg(z0))) ENCODE_2(z0) -> c8(2'(encArg(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] POL(2(x_1)) = 0 POL(2'(x_1)) = [1] POL(ENCARG(x_1)) = x_1 POL(ENCODE_0(x_1)) = [1] POL(ENCODE_2(x_1)) = [1] POL(c(x_1, x_2)) = x_1 + x_2 POL(c1(x_1, x_2)) = x_1 + x_2 POL(c11(x_1)) = x_1 POL(c2(x_1)) = x_1 POL(c46) = 0 POL(c47) = 0 POL(c6) = 0 POL(c7) = 0 POL(c8(x_1)) = x_1 POL(cons_0(x_1)) = [1] + x_1 POL(cons_1(x_1)) = [1] + x_1 POL(cons_2(x_1)) = [1] + x_1 POL(encArg(x_1)) = [1] ---------------------------------------- (22) Obligation: Complexity Dependency Tuples Problem Rules: encArg(cons_0(z0)) -> 0(encArg(z0)) encArg(cons_2(z0)) -> 2(encArg(z0)) encArg(cons_1(z0)) -> 1(encArg(z0)) 0(0(z0)) -> 1(2(1(z0))) 0(2(z0)) -> 1(1(1(z0))) 0(1(0(1(1(2(1(0(z0)))))))) -> 1(1(2(0(1(2(1(1(2(1(z0)))))))))) 2(0(z0)) -> 1(2(1(z0))) 2(2(2(z0))) -> 1(1(2(2(1(2(1(z0))))))) Tuples: ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0)) ENCARG(cons_1(z0)) -> c2(ENCARG(z0)) 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 2'(2(2(z0))) -> c47 ENCODE_0(z0) -> c8(0'(encArg(z0))) ENCODE_2(z0) -> c8(2'(encArg(z0))) S tuples:none K tuples: 2'(2(2(z0))) -> c47 0'(0(z0)) -> c6 0'(2(z0)) -> c7 0'(1(0(1(1(2(1(0(z0)))))))) -> c11(2'(0(1(2(1(1(2(1(z0))))))))) 2'(0(z0)) -> c46 Defined Rule Symbols: encArg_1, 0_1, 2_1 Defined Pair Symbols: ENCARG_1, 0'_1, 2'_1, ENCODE_0_1, ENCODE_2_1 Compound Symbols: c_2, c1_2, c2_1, c6, c7, c11_1, c46, c47, c8_1 ---------------------------------------- (23) SIsEmptyProof (BOTH BOUNDS(ID, ID)) The set S is empty ---------------------------------------- (24) BOUNDS(1, 1)