/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 47 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 640 ms] (8) BOUNDS(1, n^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(1(0(1(2(0(3(3(4(x1)))))))))) -> 4(2(3(4(2(1(1(4(2(0(x1)))))))))) 0(0(1(5(2(3(0(1(5(5(x1)))))))))) -> 0(0(1(3(1(2(5(0(5(5(x1)))))))))) 0(0(4(0(1(0(2(0(3(3(x1)))))))))) -> 0(0(4(0(1(0(0(2(3(3(x1)))))))))) 0(0(5(3(4(5(1(5(3(0(x1)))))))))) -> 0(0(3(1(5(4(5(5(3(0(x1)))))))))) 0(2(2(0(1(0(3(4(0(0(x1)))))))))) -> 0(2(2(0(1(3(0(0(4(0(x1)))))))))) 0(3(2(0(5(0(4(3(5(3(x1)))))))))) -> 0(3(2(0(0(5(4(3(5(3(x1)))))))))) 0(4(3(3(5(1(2(4(3(3(x1)))))))))) -> 0(4(3(3(1(5(2(4(3(3(x1)))))))))) 0(5(2(4(0(0(1(3(4(3(x1)))))))))) -> 0(5(4(2(0(0(1(3(4(3(x1)))))))))) 0(5(5(0(4(0(3(1(2(1(x1)))))))))) -> 0(5(4(5(0(0(3(1(2(1(x1)))))))))) 1(0(0(0(4(0(0(5(0(4(x1)))))))))) -> 2(4(5(5(1(0(5(5(0(2(x1)))))))))) 1(0(0(5(3(4(0(1(4(3(x1)))))))))) -> 1(0(0(5(1(3(0(4(4(3(x1)))))))))) 1(0(1(0(5(5(0(1(3(2(x1)))))))))) -> 1(0(1(5(0(5(0(1(3(2(x1)))))))))) 1(1(3(2(1(0(5(3(3(4(x1)))))))))) -> 1(1(2(3(1(0(5(3(3(4(x1)))))))))) 1(2(1(5(1(5(1(3(4(3(x1)))))))))) -> 1(2(1(3(5(4(5(1(3(1(x1)))))))))) 1(3(0(2(3(2(4(1(2(0(x1)))))))))) -> 1(3(0(1(2(3(2(4(2(0(x1)))))))))) 1(3(2(2(2(5(2(0(1(0(x1)))))))))) -> 1(3(2(2(2(2(5(0(1(0(x1)))))))))) 1(4(5(2(2(4(0(0(3(5(x1)))))))))) -> 4(2(5(0(1(3(0(4(2(5(x1)))))))))) 1(5(0(4(1(3(2(3(3(3(x1)))))))))) -> 1(5(4(0(3(1(2(3(3(3(x1)))))))))) 1(5(1(2(0(2(5(1(3(2(x1)))))))))) -> 1(5(1(0(2(2(5(1(3(2(x1)))))))))) 1(5(3(0(5(5(4(0(4(0(x1)))))))))) -> 1(5(3(0(5(4(5(0(4(0(x1)))))))))) 2(0(0(4(3(2(1(3(3(4(x1)))))))))) -> 2(0(0(3(4(2(1(3(3(4(x1)))))))))) 2(1(0(3(3(2(1(2(2(5(x1)))))))))) -> 2(1(0(3(2(3(1(2(2(5(x1)))))))))) 2(1(2(4(4(3(5(2(4(1(x1)))))))))) -> 2(1(2(4(3(1(4(4(2(5(x1)))))))))) 2(1(3(4(1(3(2(4(2(1(x1)))))))))) -> 2(1(3(4(1(2(3(4(2(1(x1)))))))))) 2(1(4(0(5(3(4(5(5(0(x1)))))))))) -> 2(4(1(5(0(3(4(5(5(0(x1)))))))))) 2(3(5(0(1(3(4(5(5(2(x1)))))))))) -> 2(3(5(0(3(1(4(5(5(2(x1)))))))))) 2(4(0(1(4(1(4(3(3(4(x1)))))))))) -> 2(4(0(4(4(3(1(1(3(4(x1)))))))))) 2(5(1(1(4(5(4(0(4(2(x1)))))))))) -> 2(5(1(1(5(4(4(0(4(2(x1)))))))))) 2(5(1(3(0(3(4(3(5(0(x1)))))))))) -> 2(5(1(3(3(4(0(3(5(0(x1)))))))))) 3(0(1(4(0(3(5(1(4(5(x1)))))))))) -> 3(0(1(1(3(4(5(0(4(5(x1)))))))))) 3(0(2(0(4(3(1(4(3(1(x1)))))))))) -> 1(0(5(0(0(5(2(5(5(2(x1)))))))))) 3(0(4(3(2(4(0(5(2(0(x1)))))))))) -> 3(0(0(2(4(5(0(4(2(3(x1)))))))))) 3(2(0(1(2(4(0(0(5(3(x1)))))))))) -> 3(2(0(1(4(2(3(0(5(0(x1)))))))))) 3(3(5(2(1(5(3(0(4(5(x1)))))))))) -> 3(3(1(4(2(5(5(3(0(5(x1)))))))))) 3(4(2(1(4(3(3(1(3(5(x1)))))))))) -> 3(1(1(3(5(5(0(3(0(5(x1)))))))))) 3(4(5(0(5(1(4(0(5(3(x1)))))))))) -> 3(4(5(0(5(4(1(0(5(3(x1)))))))))) 3(5(0(3(4(2(0(0(3(0(x1)))))))))) -> 3(5(0(3(0(4(2(0(3(0(x1)))))))))) 3(5(1(3(2(0(2(4(2(3(x1)))))))))) -> 3(2(3(1(4(5(0(2(3(2(x1)))))))))) 4(0(4(2(4(3(4(3(4(1(x1)))))))))) -> 4(4(2(3(4(0(3(4(4(1(x1)))))))))) 4(1(3(2(2(0(2(0(1(3(x1)))))))))) -> 4(2(3(2(1(0(2(0(1(3(x1)))))))))) 4(2(5(0(5(1(0(3(1(0(x1)))))))))) -> 4(2(5(0(5(0(1(3(1(0(x1)))))))))) 4(3(2(0(0(0(3(0(0(3(x1)))))))))) -> 4(3(0(2(0(0(3(0(0(3(x1)))))))))) 4(4(0(0(4(3(3(5(3(2(x1)))))))))) -> 4(4(0(4(0(3(3(5(3(2(x1)))))))))) 4(5(1(0(4(3(5(5(5(1(x1)))))))))) -> 4(5(1(0(3(4(5(5(5(1(x1)))))))))) 4(5(1(3(5(1(3(4(1(2(x1)))))))))) -> 4(5(1(3(5(1(3(1(4(2(x1)))))))))) 5(0(3(5(2(3(0(3(4(4(x1)))))))))) -> 5(0(3(5(2(3(3(0(4(4(x1)))))))))) 5(1(0(1(3(2(1(0(2(0(x1)))))))))) -> 5(1(0(1(2(3(1(0(0(2(x1)))))))))) 5(1(1(5(1(5(1(1(4(3(x1)))))))))) -> 5(1(1(5(1(3(1(5(4(1(x1)))))))))) 5(3(0(0(3(4(4(2(3(2(x1)))))))))) -> 5(3(0(0(4(3(4(2(3(2(x1)))))))))) 5(5(3(1(5(5(3(2(0(5(x1)))))))))) -> 5(5(3(1(5(5(2(3(0(5(x1)))))))))) 0(3(5(4(1(5(1(5(1(2(0(x1))))))))))) -> 3(1(3(1(0(5(1(2(4(5(x1)))))))))) 1(2(4(0(4(3(4(0(0(3(2(x1))))))))))) -> 1(1(4(1(4(4(3(2(1(1(x1)))))))))) 1(3(2(3(3(0(2(4(2(3(2(x1))))))))))) -> 2(0(2(5(4(5(5(5(0(5(x1)))))))))) 2(0(4(3(4(5(3(0(0(0(5(x1))))))))))) -> 2(4(4(4(2(0(4(2(4(2(x1)))))))))) 2(4(0(0(5(5(1(3(5(1(4(x1))))))))))) -> 2(2(0(0(0(5(3(2(0(5(x1)))))))))) 3(0(2(4(1(1(2(1(5(2(0(x1))))))))))) -> 2(1(5(3(3(1(1(2(0(2(x1)))))))))) 3(2(4(4(2(4(5(4(1(5(1(x1))))))))))) -> 2(1(4(1(5(5(4(2(0(2(x1)))))))))) 4(0(1(2(3(1(0(2(2(4(5(x1))))))))))) -> 0(5(2(4(5(0(4(5(5(0(x1)))))))))) 4(2(0(3(4(2(1(1(3(3(0(x1))))))))))) -> 1(0(5(5(3(2(2(1(5(4(x1)))))))))) 4(2(0(5(4(5(5(3(2(5(4(x1))))))))))) -> 4(1(3(2(0(0(5(2(4(1(x1)))))))))) 4(2(1(5(3(5(4(1(4(4(3(x1))))))))))) -> 4(0(5(2(3(5(4(3(2(2(x1)))))))))) 4(4(4(0(3(3(4(3(4(5(4(x1))))))))))) -> 3(2(2(4(0(0(1(0(4(5(x1)))))))))) 4(5(5(4(4(4(2(5(2(5(3(x1))))))))))) -> 0(4(0(3(2(4(1(0(0(0(x1)))))))))) 5(3(2(0(0(5(3(1(4(1(0(x1))))))))))) -> 4(4(5(5(0(1(0(2(3(0(x1)))))))))) 5(5(4(0(2(4(5(2(3(4(3(x1))))))))))) -> 1(0(2(1(4(5(1(2(4(5(x1)))))))))) 1(0(2(1(4(3(4(5(2(3(3(1(x1)))))))))))) -> 4(4(5(5(2(2(2(4(0(3(x1)))))))))) 1(2(1(1(1(1(2(5(2(2(4(5(x1)))))))))))) -> 3(2(0(1(0(1(1(0(0(0(x1)))))))))) 3(2(0(0(4(2(3(3(5(5(2(2(x1)))))))))))) -> 1(3(0(3(4(1(3(4(2(3(x1)))))))))) 3(2(0(0(5(4(5(0(5(4(2(5(x1)))))))))))) -> 0(3(0(4(0(1(4(4(4(4(x1)))))))))) 3(2(0(2(0(3(4(4(4(4(1(3(x1)))))))))))) -> 1(1(1(0(5(3(0(0(1(5(x1)))))))))) 4(0(5(0(1(1(0(4(3(5(3(5(x1)))))))))))) -> 2(5(3(4(0(4(4(5(3(1(x1)))))))))) 5(2(0(2(5(5(1(5(5(1(5(1(x1)))))))))))) -> 1(1(3(4(0(5(4(3(2(4(x1)))))))))) 5(2(1(5(5(5(2(0(4(5(2(4(x1)))))))))))) -> 1(1(4(5(4(3(4(2(2(5(x1)))))))))) 0(0(2(0(3(5(5(2(2(1(1(3(2(x1))))))))))))) -> 4(3(2(5(5(3(2(0(4(3(x1)))))))))) 1(2(1(0(2(5(4(2(2(2(5(5(4(x1))))))))))))) -> 3(3(0(0(0(5(3(2(2(3(x1)))))))))) 5(2(2(1(2(1(1(5(0(1(3(3(1(x1))))))))))))) -> 4(0(5(2(0(3(2(3(1(3(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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(1(0(1(2(0(3(3(4(x1)))))))))) -> 4(2(3(4(2(1(1(4(2(0(x1)))))))))) 0(0(1(5(2(3(0(1(5(5(x1)))))))))) -> 0(0(1(3(1(2(5(0(5(5(x1)))))))))) 0(0(4(0(1(0(2(0(3(3(x1)))))))))) -> 0(0(4(0(1(0(0(2(3(3(x1)))))))))) 0(0(5(3(4(5(1(5(3(0(x1)))))))))) -> 0(0(3(1(5(4(5(5(3(0(x1)))))))))) 0(2(2(0(1(0(3(4(0(0(x1)))))))))) -> 0(2(2(0(1(3(0(0(4(0(x1)))))))))) 0(3(2(0(5(0(4(3(5(3(x1)))))))))) -> 0(3(2(0(0(5(4(3(5(3(x1)))))))))) 0(4(3(3(5(1(2(4(3(3(x1)))))))))) -> 0(4(3(3(1(5(2(4(3(3(x1)))))))))) 0(5(2(4(0(0(1(3(4(3(x1)))))))))) -> 0(5(4(2(0(0(1(3(4(3(x1)))))))))) 0(5(5(0(4(0(3(1(2(1(x1)))))))))) -> 0(5(4(5(0(0(3(1(2(1(x1)))))))))) 1(0(0(0(4(0(0(5(0(4(x1)))))))))) -> 2(4(5(5(1(0(5(5(0(2(x1)))))))))) 1(0(0(5(3(4(0(1(4(3(x1)))))))))) -> 1(0(0(5(1(3(0(4(4(3(x1)))))))))) 1(0(1(0(5(5(0(1(3(2(x1)))))))))) -> 1(0(1(5(0(5(0(1(3(2(x1)))))))))) 1(1(3(2(1(0(5(3(3(4(x1)))))))))) -> 1(1(2(3(1(0(5(3(3(4(x1)))))))))) 1(2(1(5(1(5(1(3(4(3(x1)))))))))) -> 1(2(1(3(5(4(5(1(3(1(x1)))))))))) 1(3(0(2(3(2(4(1(2(0(x1)))))))))) -> 1(3(0(1(2(3(2(4(2(0(x1)))))))))) 1(3(2(2(2(5(2(0(1(0(x1)))))))))) -> 1(3(2(2(2(2(5(0(1(0(x1)))))))))) 1(4(5(2(2(4(0(0(3(5(x1)))))))))) -> 4(2(5(0(1(3(0(4(2(5(x1)))))))))) 1(5(0(4(1(3(2(3(3(3(x1)))))))))) -> 1(5(4(0(3(1(2(3(3(3(x1)))))))))) 1(5(1(2(0(2(5(1(3(2(x1)))))))))) -> 1(5(1(0(2(2(5(1(3(2(x1)))))))))) 1(5(3(0(5(5(4(0(4(0(x1)))))))))) -> 1(5(3(0(5(4(5(0(4(0(x1)))))))))) 2(0(0(4(3(2(1(3(3(4(x1)))))))))) -> 2(0(0(3(4(2(1(3(3(4(x1)))))))))) 2(1(0(3(3(2(1(2(2(5(x1)))))))))) -> 2(1(0(3(2(3(1(2(2(5(x1)))))))))) 2(1(2(4(4(3(5(2(4(1(x1)))))))))) -> 2(1(2(4(3(1(4(4(2(5(x1)))))))))) 2(1(3(4(1(3(2(4(2(1(x1)))))))))) -> 2(1(3(4(1(2(3(4(2(1(x1)))))))))) 2(1(4(0(5(3(4(5(5(0(x1)))))))))) -> 2(4(1(5(0(3(4(5(5(0(x1)))))))))) 2(3(5(0(1(3(4(5(5(2(x1)))))))))) -> 2(3(5(0(3(1(4(5(5(2(x1)))))))))) 2(4(0(1(4(1(4(3(3(4(x1)))))))))) -> 2(4(0(4(4(3(1(1(3(4(x1)))))))))) 2(5(1(1(4(5(4(0(4(2(x1)))))))))) -> 2(5(1(1(5(4(4(0(4(2(x1)))))))))) 2(5(1(3(0(3(4(3(5(0(x1)))))))))) -> 2(5(1(3(3(4(0(3(5(0(x1)))))))))) 3(0(1(4(0(3(5(1(4(5(x1)))))))))) -> 3(0(1(1(3(4(5(0(4(5(x1)))))))))) 3(0(2(0(4(3(1(4(3(1(x1)))))))))) -> 1(0(5(0(0(5(2(5(5(2(x1)))))))))) 3(0(4(3(2(4(0(5(2(0(x1)))))))))) -> 3(0(0(2(4(5(0(4(2(3(x1)))))))))) 3(2(0(1(2(4(0(0(5(3(x1)))))))))) -> 3(2(0(1(4(2(3(0(5(0(x1)))))))))) 3(3(5(2(1(5(3(0(4(5(x1)))))))))) -> 3(3(1(4(2(5(5(3(0(5(x1)))))))))) 3(4(2(1(4(3(3(1(3(5(x1)))))))))) -> 3(1(1(3(5(5(0(3(0(5(x1)))))))))) 3(4(5(0(5(1(4(0(5(3(x1)))))))))) -> 3(4(5(0(5(4(1(0(5(3(x1)))))))))) 3(5(0(3(4(2(0(0(3(0(x1)))))))))) -> 3(5(0(3(0(4(2(0(3(0(x1)))))))))) 3(5(1(3(2(0(2(4(2(3(x1)))))))))) -> 3(2(3(1(4(5(0(2(3(2(x1)))))))))) 4(0(4(2(4(3(4(3(4(1(x1)))))))))) -> 4(4(2(3(4(0(3(4(4(1(x1)))))))))) 4(1(3(2(2(0(2(0(1(3(x1)))))))))) -> 4(2(3(2(1(0(2(0(1(3(x1)))))))))) 4(2(5(0(5(1(0(3(1(0(x1)))))))))) -> 4(2(5(0(5(0(1(3(1(0(x1)))))))))) 4(3(2(0(0(0(3(0(0(3(x1)))))))))) -> 4(3(0(2(0(0(3(0(0(3(x1)))))))))) 4(4(0(0(4(3(3(5(3(2(x1)))))))))) -> 4(4(0(4(0(3(3(5(3(2(x1)))))))))) 4(5(1(0(4(3(5(5(5(1(x1)))))))))) -> 4(5(1(0(3(4(5(5(5(1(x1)))))))))) 4(5(1(3(5(1(3(4(1(2(x1)))))))))) -> 4(5(1(3(5(1(3(1(4(2(x1)))))))))) 5(0(3(5(2(3(0(3(4(4(x1)))))))))) -> 5(0(3(5(2(3(3(0(4(4(x1)))))))))) 5(1(0(1(3(2(1(0(2(0(x1)))))))))) -> 5(1(0(1(2(3(1(0(0(2(x1)))))))))) 5(1(1(5(1(5(1(1(4(3(x1)))))))))) -> 5(1(1(5(1(3(1(5(4(1(x1)))))))))) 5(3(0(0(3(4(4(2(3(2(x1)))))))))) -> 5(3(0(0(4(3(4(2(3(2(x1)))))))))) 5(5(3(1(5(5(3(2(0(5(x1)))))))))) -> 5(5(3(1(5(5(2(3(0(5(x1)))))))))) 0(3(5(4(1(5(1(5(1(2(0(x1))))))))))) -> 3(1(3(1(0(5(1(2(4(5(x1)))))))))) 1(2(4(0(4(3(4(0(0(3(2(x1))))))))))) -> 1(1(4(1(4(4(3(2(1(1(x1)))))))))) 1(3(2(3(3(0(2(4(2(3(2(x1))))))))))) -> 2(0(2(5(4(5(5(5(0(5(x1)))))))))) 2(0(4(3(4(5(3(0(0(0(5(x1))))))))))) -> 2(4(4(4(2(0(4(2(4(2(x1)))))))))) 2(4(0(0(5(5(1(3(5(1(4(x1))))))))))) -> 2(2(0(0(0(5(3(2(0(5(x1)))))))))) 3(0(2(4(1(1(2(1(5(2(0(x1))))))))))) -> 2(1(5(3(3(1(1(2(0(2(x1)))))))))) 3(2(4(4(2(4(5(4(1(5(1(x1))))))))))) -> 2(1(4(1(5(5(4(2(0(2(x1)))))))))) 4(0(1(2(3(1(0(2(2(4(5(x1))))))))))) -> 0(5(2(4(5(0(4(5(5(0(x1)))))))))) 4(2(0(3(4(2(1(1(3(3(0(x1))))))))))) -> 1(0(5(5(3(2(2(1(5(4(x1)))))))))) 4(2(0(5(4(5(5(3(2(5(4(x1))))))))))) -> 4(1(3(2(0(0(5(2(4(1(x1)))))))))) 4(2(1(5(3(5(4(1(4(4(3(x1))))))))))) -> 4(0(5(2(3(5(4(3(2(2(x1)))))))))) 4(4(4(0(3(3(4(3(4(5(4(x1))))))))))) -> 3(2(2(4(0(0(1(0(4(5(x1)))))))))) 4(5(5(4(4(4(2(5(2(5(3(x1))))))))))) -> 0(4(0(3(2(4(1(0(0(0(x1)))))))))) 5(3(2(0(0(5(3(1(4(1(0(x1))))))))))) -> 4(4(5(5(0(1(0(2(3(0(x1)))))))))) 5(5(4(0(2(4(5(2(3(4(3(x1))))))))))) -> 1(0(2(1(4(5(1(2(4(5(x1)))))))))) 1(0(2(1(4(3(4(5(2(3(3(1(x1)))))))))))) -> 4(4(5(5(2(2(2(4(0(3(x1)))))))))) 1(2(1(1(1(1(2(5(2(2(4(5(x1)))))))))))) -> 3(2(0(1(0(1(1(0(0(0(x1)))))))))) 3(2(0(0(4(2(3(3(5(5(2(2(x1)))))))))))) -> 1(3(0(3(4(1(3(4(2(3(x1)))))))))) 3(2(0(0(5(4(5(0(5(4(2(5(x1)))))))))))) -> 0(3(0(4(0(1(4(4(4(4(x1)))))))))) 3(2(0(2(0(3(4(4(4(4(1(3(x1)))))))))))) -> 1(1(1(0(5(3(0(0(1(5(x1)))))))))) 4(0(5(0(1(1(0(4(3(5(3(5(x1)))))))))))) -> 2(5(3(4(0(4(4(5(3(1(x1)))))))))) 5(2(0(2(5(5(1(5(5(1(5(1(x1)))))))))))) -> 1(1(3(4(0(5(4(3(2(4(x1)))))))))) 5(2(1(5(5(5(2(0(4(5(2(4(x1)))))))))))) -> 1(1(4(5(4(3(4(2(2(5(x1)))))))))) 0(0(2(0(3(5(5(2(2(1(1(3(2(x1))))))))))))) -> 4(3(2(5(5(3(2(0(4(3(x1)))))))))) 1(2(1(0(2(5(4(2(2(2(5(5(4(x1))))))))))))) -> 3(3(0(0(0(5(3(2(2(3(x1)))))))))) 5(2(2(1(2(1(1(5(0(1(3(3(1(x1))))))))))))) -> 4(0(5(2(0(3(2(3(1(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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(1(0(1(2(0(3(3(4(x1)))))))))) -> 4(2(3(4(2(1(1(4(2(0(x1)))))))))) 0(0(1(5(2(3(0(1(5(5(x1)))))))))) -> 0(0(1(3(1(2(5(0(5(5(x1)))))))))) 0(0(4(0(1(0(2(0(3(3(x1)))))))))) -> 0(0(4(0(1(0(0(2(3(3(x1)))))))))) 0(0(5(3(4(5(1(5(3(0(x1)))))))))) -> 0(0(3(1(5(4(5(5(3(0(x1)))))))))) 0(2(2(0(1(0(3(4(0(0(x1)))))))))) -> 0(2(2(0(1(3(0(0(4(0(x1)))))))))) 0(3(2(0(5(0(4(3(5(3(x1)))))))))) -> 0(3(2(0(0(5(4(3(5(3(x1)))))))))) 0(4(3(3(5(1(2(4(3(3(x1)))))))))) -> 0(4(3(3(1(5(2(4(3(3(x1)))))))))) 0(5(2(4(0(0(1(3(4(3(x1)))))))))) -> 0(5(4(2(0(0(1(3(4(3(x1)))))))))) 0(5(5(0(4(0(3(1(2(1(x1)))))))))) -> 0(5(4(5(0(0(3(1(2(1(x1)))))))))) 1(0(0(0(4(0(0(5(0(4(x1)))))))))) -> 2(4(5(5(1(0(5(5(0(2(x1)))))))))) 1(0(0(5(3(4(0(1(4(3(x1)))))))))) -> 1(0(0(5(1(3(0(4(4(3(x1)))))))))) 1(0(1(0(5(5(0(1(3(2(x1)))))))))) -> 1(0(1(5(0(5(0(1(3(2(x1)))))))))) 1(1(3(2(1(0(5(3(3(4(x1)))))))))) -> 1(1(2(3(1(0(5(3(3(4(x1)))))))))) 1(2(1(5(1(5(1(3(4(3(x1)))))))))) -> 1(2(1(3(5(4(5(1(3(1(x1)))))))))) 1(3(0(2(3(2(4(1(2(0(x1)))))))))) -> 1(3(0(1(2(3(2(4(2(0(x1)))))))))) 1(3(2(2(2(5(2(0(1(0(x1)))))))))) -> 1(3(2(2(2(2(5(0(1(0(x1)))))))))) 1(4(5(2(2(4(0(0(3(5(x1)))))))))) -> 4(2(5(0(1(3(0(4(2(5(x1)))))))))) 1(5(0(4(1(3(2(3(3(3(x1)))))))))) -> 1(5(4(0(3(1(2(3(3(3(x1)))))))))) 1(5(1(2(0(2(5(1(3(2(x1)))))))))) -> 1(5(1(0(2(2(5(1(3(2(x1)))))))))) 1(5(3(0(5(5(4(0(4(0(x1)))))))))) -> 1(5(3(0(5(4(5(0(4(0(x1)))))))))) 2(0(0(4(3(2(1(3(3(4(x1)))))))))) -> 2(0(0(3(4(2(1(3(3(4(x1)))))))))) 2(1(0(3(3(2(1(2(2(5(x1)))))))))) -> 2(1(0(3(2(3(1(2(2(5(x1)))))))))) 2(1(2(4(4(3(5(2(4(1(x1)))))))))) -> 2(1(2(4(3(1(4(4(2(5(x1)))))))))) 2(1(3(4(1(3(2(4(2(1(x1)))))))))) -> 2(1(3(4(1(2(3(4(2(1(x1)))))))))) 2(1(4(0(5(3(4(5(5(0(x1)))))))))) -> 2(4(1(5(0(3(4(5(5(0(x1)))))))))) 2(3(5(0(1(3(4(5(5(2(x1)))))))))) -> 2(3(5(0(3(1(4(5(5(2(x1)))))))))) 2(4(0(1(4(1(4(3(3(4(x1)))))))))) -> 2(4(0(4(4(3(1(1(3(4(x1)))))))))) 2(5(1(1(4(5(4(0(4(2(x1)))))))))) -> 2(5(1(1(5(4(4(0(4(2(x1)))))))))) 2(5(1(3(0(3(4(3(5(0(x1)))))))))) -> 2(5(1(3(3(4(0(3(5(0(x1)))))))))) 3(0(1(4(0(3(5(1(4(5(x1)))))))))) -> 3(0(1(1(3(4(5(0(4(5(x1)))))))))) 3(0(2(0(4(3(1(4(3(1(x1)))))))))) -> 1(0(5(0(0(5(2(5(5(2(x1)))))))))) 3(0(4(3(2(4(0(5(2(0(x1)))))))))) -> 3(0(0(2(4(5(0(4(2(3(x1)))))))))) 3(2(0(1(2(4(0(0(5(3(x1)))))))))) -> 3(2(0(1(4(2(3(0(5(0(x1)))))))))) 3(3(5(2(1(5(3(0(4(5(x1)))))))))) -> 3(3(1(4(2(5(5(3(0(5(x1)))))))))) 3(4(2(1(4(3(3(1(3(5(x1)))))))))) -> 3(1(1(3(5(5(0(3(0(5(x1)))))))))) 3(4(5(0(5(1(4(0(5(3(x1)))))))))) -> 3(4(5(0(5(4(1(0(5(3(x1)))))))))) 3(5(0(3(4(2(0(0(3(0(x1)))))))))) -> 3(5(0(3(0(4(2(0(3(0(x1)))))))))) 3(5(1(3(2(0(2(4(2(3(x1)))))))))) -> 3(2(3(1(4(5(0(2(3(2(x1)))))))))) 4(0(4(2(4(3(4(3(4(1(x1)))))))))) -> 4(4(2(3(4(0(3(4(4(1(x1)))))))))) 4(1(3(2(2(0(2(0(1(3(x1)))))))))) -> 4(2(3(2(1(0(2(0(1(3(x1)))))))))) 4(2(5(0(5(1(0(3(1(0(x1)))))))))) -> 4(2(5(0(5(0(1(3(1(0(x1)))))))))) 4(3(2(0(0(0(3(0(0(3(x1)))))))))) -> 4(3(0(2(0(0(3(0(0(3(x1)))))))))) 4(4(0(0(4(3(3(5(3(2(x1)))))))))) -> 4(4(0(4(0(3(3(5(3(2(x1)))))))))) 4(5(1(0(4(3(5(5(5(1(x1)))))))))) -> 4(5(1(0(3(4(5(5(5(1(x1)))))))))) 4(5(1(3(5(1(3(4(1(2(x1)))))))))) -> 4(5(1(3(5(1(3(1(4(2(x1)))))))))) 5(0(3(5(2(3(0(3(4(4(x1)))))))))) -> 5(0(3(5(2(3(3(0(4(4(x1)))))))))) 5(1(0(1(3(2(1(0(2(0(x1)))))))))) -> 5(1(0(1(2(3(1(0(0(2(x1)))))))))) 5(1(1(5(1(5(1(1(4(3(x1)))))))))) -> 5(1(1(5(1(3(1(5(4(1(x1)))))))))) 5(3(0(0(3(4(4(2(3(2(x1)))))))))) -> 5(3(0(0(4(3(4(2(3(2(x1)))))))))) 5(5(3(1(5(5(3(2(0(5(x1)))))))))) -> 5(5(3(1(5(5(2(3(0(5(x1)))))))))) 0(3(5(4(1(5(1(5(1(2(0(x1))))))))))) -> 3(1(3(1(0(5(1(2(4(5(x1)))))))))) 1(2(4(0(4(3(4(0(0(3(2(x1))))))))))) -> 1(1(4(1(4(4(3(2(1(1(x1)))))))))) 1(3(2(3(3(0(2(4(2(3(2(x1))))))))))) -> 2(0(2(5(4(5(5(5(0(5(x1)))))))))) 2(0(4(3(4(5(3(0(0(0(5(x1))))))))))) -> 2(4(4(4(2(0(4(2(4(2(x1)))))))))) 2(4(0(0(5(5(1(3(5(1(4(x1))))))))))) -> 2(2(0(0(0(5(3(2(0(5(x1)))))))))) 3(0(2(4(1(1(2(1(5(2(0(x1))))))))))) -> 2(1(5(3(3(1(1(2(0(2(x1)))))))))) 3(2(4(4(2(4(5(4(1(5(1(x1))))))))))) -> 2(1(4(1(5(5(4(2(0(2(x1)))))))))) 4(0(1(2(3(1(0(2(2(4(5(x1))))))))))) -> 0(5(2(4(5(0(4(5(5(0(x1)))))))))) 4(2(0(3(4(2(1(1(3(3(0(x1))))))))))) -> 1(0(5(5(3(2(2(1(5(4(x1)))))))))) 4(2(0(5(4(5(5(3(2(5(4(x1))))))))))) -> 4(1(3(2(0(0(5(2(4(1(x1)))))))))) 4(2(1(5(3(5(4(1(4(4(3(x1))))))))))) -> 4(0(5(2(3(5(4(3(2(2(x1)))))))))) 4(4(4(0(3(3(4(3(4(5(4(x1))))))))))) -> 3(2(2(4(0(0(1(0(4(5(x1)))))))))) 4(5(5(4(4(4(2(5(2(5(3(x1))))))))))) -> 0(4(0(3(2(4(1(0(0(0(x1)))))))))) 5(3(2(0(0(5(3(1(4(1(0(x1))))))))))) -> 4(4(5(5(0(1(0(2(3(0(x1)))))))))) 5(5(4(0(2(4(5(2(3(4(3(x1))))))))))) -> 1(0(2(1(4(5(1(2(4(5(x1)))))))))) 1(0(2(1(4(3(4(5(2(3(3(1(x1)))))))))))) -> 4(4(5(5(2(2(2(4(0(3(x1)))))))))) 1(2(1(1(1(1(2(5(2(2(4(5(x1)))))))))))) -> 3(2(0(1(0(1(1(0(0(0(x1)))))))))) 3(2(0(0(4(2(3(3(5(5(2(2(x1)))))))))))) -> 1(3(0(3(4(1(3(4(2(3(x1)))))))))) 3(2(0(0(5(4(5(0(5(4(2(5(x1)))))))))))) -> 0(3(0(4(0(1(4(4(4(4(x1)))))))))) 3(2(0(2(0(3(4(4(4(4(1(3(x1)))))))))))) -> 1(1(1(0(5(3(0(0(1(5(x1)))))))))) 4(0(5(0(1(1(0(4(3(5(3(5(x1)))))))))))) -> 2(5(3(4(0(4(4(5(3(1(x1)))))))))) 5(2(0(2(5(5(1(5(5(1(5(1(x1)))))))))))) -> 1(1(3(4(0(5(4(3(2(4(x1)))))))))) 5(2(1(5(5(5(2(0(4(5(2(4(x1)))))))))))) -> 1(1(4(5(4(3(4(2(2(5(x1)))))))))) 0(0(2(0(3(5(5(2(2(1(1(3(2(x1))))))))))))) -> 4(3(2(5(5(3(2(0(4(3(x1)))))))))) 1(2(1(0(2(5(4(2(2(2(5(5(4(x1))))))))))))) -> 3(3(0(0(0(5(3(2(2(3(x1)))))))))) 5(2(2(1(2(1(1(5(0(1(3(3(1(x1))))))))))))) -> 4(0(5(2(0(3(2(3(1(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(0(1(0(1(2(0(3(3(4(x1)))))))))) -> 4(2(3(4(2(1(1(4(2(0(x1)))))))))) 0(0(1(5(2(3(0(1(5(5(x1)))))))))) -> 0(0(1(3(1(2(5(0(5(5(x1)))))))))) 0(0(4(0(1(0(2(0(3(3(x1)))))))))) -> 0(0(4(0(1(0(0(2(3(3(x1)))))))))) 0(0(5(3(4(5(1(5(3(0(x1)))))))))) -> 0(0(3(1(5(4(5(5(3(0(x1)))))))))) 0(2(2(0(1(0(3(4(0(0(x1)))))))))) -> 0(2(2(0(1(3(0(0(4(0(x1)))))))))) 0(3(2(0(5(0(4(3(5(3(x1)))))))))) -> 0(3(2(0(0(5(4(3(5(3(x1)))))))))) 0(4(3(3(5(1(2(4(3(3(x1)))))))))) -> 0(4(3(3(1(5(2(4(3(3(x1)))))))))) 0(5(2(4(0(0(1(3(4(3(x1)))))))))) -> 0(5(4(2(0(0(1(3(4(3(x1)))))))))) 0(5(5(0(4(0(3(1(2(1(x1)))))))))) -> 0(5(4(5(0(0(3(1(2(1(x1)))))))))) 1(0(0(0(4(0(0(5(0(4(x1)))))))))) -> 2(4(5(5(1(0(5(5(0(2(x1)))))))))) 1(0(0(5(3(4(0(1(4(3(x1)))))))))) -> 1(0(0(5(1(3(0(4(4(3(x1)))))))))) 1(0(1(0(5(5(0(1(3(2(x1)))))))))) -> 1(0(1(5(0(5(0(1(3(2(x1)))))))))) 1(1(3(2(1(0(5(3(3(4(x1)))))))))) -> 1(1(2(3(1(0(5(3(3(4(x1)))))))))) 1(2(1(5(1(5(1(3(4(3(x1)))))))))) -> 1(2(1(3(5(4(5(1(3(1(x1)))))))))) 1(3(0(2(3(2(4(1(2(0(x1)))))))))) -> 1(3(0(1(2(3(2(4(2(0(x1)))))))))) 1(3(2(2(2(5(2(0(1(0(x1)))))))))) -> 1(3(2(2(2(2(5(0(1(0(x1)))))))))) 1(4(5(2(2(4(0(0(3(5(x1)))))))))) -> 4(2(5(0(1(3(0(4(2(5(x1)))))))))) 1(5(0(4(1(3(2(3(3(3(x1)))))))))) -> 1(5(4(0(3(1(2(3(3(3(x1)))))))))) 1(5(1(2(0(2(5(1(3(2(x1)))))))))) -> 1(5(1(0(2(2(5(1(3(2(x1)))))))))) 1(5(3(0(5(5(4(0(4(0(x1)))))))))) -> 1(5(3(0(5(4(5(0(4(0(x1)))))))))) 2(0(0(4(3(2(1(3(3(4(x1)))))))))) -> 2(0(0(3(4(2(1(3(3(4(x1)))))))))) 2(1(0(3(3(2(1(2(2(5(x1)))))))))) -> 2(1(0(3(2(3(1(2(2(5(x1)))))))))) 2(1(2(4(4(3(5(2(4(1(x1)))))))))) -> 2(1(2(4(3(1(4(4(2(5(x1)))))))))) 2(1(3(4(1(3(2(4(2(1(x1)))))))))) -> 2(1(3(4(1(2(3(4(2(1(x1)))))))))) 2(1(4(0(5(3(4(5(5(0(x1)))))))))) -> 2(4(1(5(0(3(4(5(5(0(x1)))))))))) 2(3(5(0(1(3(4(5(5(2(x1)))))))))) -> 2(3(5(0(3(1(4(5(5(2(x1)))))))))) 2(4(0(1(4(1(4(3(3(4(x1)))))))))) -> 2(4(0(4(4(3(1(1(3(4(x1)))))))))) 2(5(1(1(4(5(4(0(4(2(x1)))))))))) -> 2(5(1(1(5(4(4(0(4(2(x1)))))))))) 2(5(1(3(0(3(4(3(5(0(x1)))))))))) -> 2(5(1(3(3(4(0(3(5(0(x1)))))))))) 3(0(1(4(0(3(5(1(4(5(x1)))))))))) -> 3(0(1(1(3(4(5(0(4(5(x1)))))))))) 3(0(2(0(4(3(1(4(3(1(x1)))))))))) -> 1(0(5(0(0(5(2(5(5(2(x1)))))))))) 3(0(4(3(2(4(0(5(2(0(x1)))))))))) -> 3(0(0(2(4(5(0(4(2(3(x1)))))))))) 3(2(0(1(2(4(0(0(5(3(x1)))))))))) -> 3(2(0(1(4(2(3(0(5(0(x1)))))))))) 3(3(5(2(1(5(3(0(4(5(x1)))))))))) -> 3(3(1(4(2(5(5(3(0(5(x1)))))))))) 3(4(2(1(4(3(3(1(3(5(x1)))))))))) -> 3(1(1(3(5(5(0(3(0(5(x1)))))))))) 3(4(5(0(5(1(4(0(5(3(x1)))))))))) -> 3(4(5(0(5(4(1(0(5(3(x1)))))))))) 3(5(0(3(4(2(0(0(3(0(x1)))))))))) -> 3(5(0(3(0(4(2(0(3(0(x1)))))))))) 3(5(1(3(2(0(2(4(2(3(x1)))))))))) -> 3(2(3(1(4(5(0(2(3(2(x1)))))))))) 4(0(4(2(4(3(4(3(4(1(x1)))))))))) -> 4(4(2(3(4(0(3(4(4(1(x1)))))))))) 4(1(3(2(2(0(2(0(1(3(x1)))))))))) -> 4(2(3(2(1(0(2(0(1(3(x1)))))))))) 4(2(5(0(5(1(0(3(1(0(x1)))))))))) -> 4(2(5(0(5(0(1(3(1(0(x1)))))))))) 4(3(2(0(0(0(3(0(0(3(x1)))))))))) -> 4(3(0(2(0(0(3(0(0(3(x1)))))))))) 4(4(0(0(4(3(3(5(3(2(x1)))))))))) -> 4(4(0(4(0(3(3(5(3(2(x1)))))))))) 4(5(1(0(4(3(5(5(5(1(x1)))))))))) -> 4(5(1(0(3(4(5(5(5(1(x1)))))))))) 4(5(1(3(5(1(3(4(1(2(x1)))))))))) -> 4(5(1(3(5(1(3(1(4(2(x1)))))))))) 5(0(3(5(2(3(0(3(4(4(x1)))))))))) -> 5(0(3(5(2(3(3(0(4(4(x1)))))))))) 5(1(0(1(3(2(1(0(2(0(x1)))))))))) -> 5(1(0(1(2(3(1(0(0(2(x1)))))))))) 5(1(1(5(1(5(1(1(4(3(x1)))))))))) -> 5(1(1(5(1(3(1(5(4(1(x1)))))))))) 5(3(0(0(3(4(4(2(3(2(x1)))))))))) -> 5(3(0(0(4(3(4(2(3(2(x1)))))))))) 5(5(3(1(5(5(3(2(0(5(x1)))))))))) -> 5(5(3(1(5(5(2(3(0(5(x1)))))))))) 0(3(5(4(1(5(1(5(1(2(0(x1))))))))))) -> 3(1(3(1(0(5(1(2(4(5(x1)))))))))) 1(2(4(0(4(3(4(0(0(3(2(x1))))))))))) -> 1(1(4(1(4(4(3(2(1(1(x1)))))))))) 1(3(2(3(3(0(2(4(2(3(2(x1))))))))))) -> 2(0(2(5(4(5(5(5(0(5(x1)))))))))) 2(0(4(3(4(5(3(0(0(0(5(x1))))))))))) -> 2(4(4(4(2(0(4(2(4(2(x1)))))))))) 2(4(0(0(5(5(1(3(5(1(4(x1))))))))))) -> 2(2(0(0(0(5(3(2(0(5(x1)))))))))) 3(0(2(4(1(1(2(1(5(2(0(x1))))))))))) -> 2(1(5(3(3(1(1(2(0(2(x1)))))))))) 3(2(4(4(2(4(5(4(1(5(1(x1))))))))))) -> 2(1(4(1(5(5(4(2(0(2(x1)))))))))) 4(0(1(2(3(1(0(2(2(4(5(x1))))))))))) -> 0(5(2(4(5(0(4(5(5(0(x1)))))))))) 4(2(0(3(4(2(1(1(3(3(0(x1))))))))))) -> 1(0(5(5(3(2(2(1(5(4(x1)))))))))) 4(2(0(5(4(5(5(3(2(5(4(x1))))))))))) -> 4(1(3(2(0(0(5(2(4(1(x1)))))))))) 4(2(1(5(3(5(4(1(4(4(3(x1))))))))))) -> 4(0(5(2(3(5(4(3(2(2(x1)))))))))) 4(4(4(0(3(3(4(3(4(5(4(x1))))))))))) -> 3(2(2(4(0(0(1(0(4(5(x1)))))))))) 4(5(5(4(4(4(2(5(2(5(3(x1))))))))))) -> 0(4(0(3(2(4(1(0(0(0(x1)))))))))) 5(3(2(0(0(5(3(1(4(1(0(x1))))))))))) -> 4(4(5(5(0(1(0(2(3(0(x1)))))))))) 5(5(4(0(2(4(5(2(3(4(3(x1))))))))))) -> 1(0(2(1(4(5(1(2(4(5(x1)))))))))) 1(0(2(1(4(3(4(5(2(3(3(1(x1)))))))))))) -> 4(4(5(5(2(2(2(4(0(3(x1)))))))))) 1(2(1(1(1(1(2(5(2(2(4(5(x1)))))))))))) -> 3(2(0(1(0(1(1(0(0(0(x1)))))))))) 3(2(0(0(4(2(3(3(5(5(2(2(x1)))))))))))) -> 1(3(0(3(4(1(3(4(2(3(x1)))))))))) 3(2(0(0(5(4(5(0(5(4(2(5(x1)))))))))))) -> 0(3(0(4(0(1(4(4(4(4(x1)))))))))) 3(2(0(2(0(3(4(4(4(4(1(3(x1)))))))))))) -> 1(1(1(0(5(3(0(0(1(5(x1)))))))))) 4(0(5(0(1(1(0(4(3(5(3(5(x1)))))))))))) -> 2(5(3(4(0(4(4(5(3(1(x1)))))))))) 5(2(0(2(5(5(1(5(5(1(5(1(x1)))))))))))) -> 1(1(3(4(0(5(4(3(2(4(x1)))))))))) 5(2(1(5(5(5(2(0(4(5(2(4(x1)))))))))))) -> 1(1(4(5(4(3(4(2(2(5(x1)))))))))) 0(0(2(0(3(5(5(2(2(1(1(3(2(x1))))))))))))) -> 4(3(2(5(5(3(2(0(4(3(x1)))))))))) 1(2(1(0(2(5(4(2(2(2(5(5(4(x1))))))))))))) -> 3(3(0(0(0(5(3(2(2(3(x1)))))))))) 5(2(2(1(2(1(1(5(0(1(3(3(1(x1))))))))))))) -> 4(0(5(2(0(3(2(3(1(3(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. The certificate found is represented by the following graph. "[70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756] {(70,71,[0_1|0, 1_1|0, 2_1|0, 3_1|0, 4_1|0, 5_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (70,72,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (70,73,[4_1|2]), (70,82,[0_1|2]), (70,91,[0_1|2]), (70,100,[0_1|2]), (70,109,[4_1|2]), (70,118,[0_1|2]), (70,127,[0_1|2]), (70,136,[3_1|2]), (70,145,[0_1|2]), (70,154,[0_1|2]), (70,163,[0_1|2]), (70,172,[2_1|2]), (70,181,[1_1|2]), (70,190,[1_1|2]), (70,199,[4_1|2]), (70,208,[1_1|2]), (70,217,[1_1|2]), (70,226,[3_1|2]), (70,235,[3_1|2]), (70,244,[1_1|2]), (70,253,[1_1|2]), (70,262,[1_1|2]), (70,271,[2_1|2]), (70,280,[4_1|2]), (70,289,[1_1|2]), (70,298,[1_1|2]), (70,307,[1_1|2]), (70,316,[2_1|2]), (70,325,[2_1|2]), (70,334,[2_1|2]), (70,343,[2_1|2]), (70,352,[2_1|2]), (70,361,[2_1|2]), (70,370,[2_1|2]), (70,379,[2_1|2]), (70,388,[2_1|2]), (70,397,[2_1|2]), (70,406,[2_1|2]), (70,415,[3_1|2]), (70,424,[1_1|2]), (70,433,[2_1|2]), (70,442,[3_1|2]), (70,451,[3_1|2]), (70,460,[1_1|2]), (70,469,[0_1|2]), (70,478,[1_1|2]), (70,487,[2_1|2]), (70,496,[3_1|2]), (70,505,[3_1|2]), (70,514,[3_1|2]), (70,523,[3_1|2]), (70,532,[3_1|2]), (70,541,[4_1|2]), (70,550,[0_1|2]), (70,559,[2_1|2]), (70,568,[4_1|2]), (70,577,[4_1|2]), (70,586,[1_1|2]), (70,595,[4_1|2]), (70,604,[4_1|2]), (70,613,[4_1|2]), (70,622,[4_1|2]), (70,631,[3_1|2]), (70,640,[4_1|2]), (70,649,[4_1|2]), (70,658,[0_1|2]), (70,667,[5_1|2]), (70,676,[5_1|2]), (70,685,[5_1|2]), (70,694,[5_1|2]), (70,703,[4_1|2]), (70,712,[5_1|2]), (70,721,[1_1|2]), (70,730,[1_1|2]), (70,739,[1_1|2]), (70,748,[4_1|2]), (71,71,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0]), (72,71,[encArg_1|1]), (72,72,[0_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (72,73,[4_1|2]), (72,82,[0_1|2]), (72,91,[0_1|2]), (72,100,[0_1|2]), (72,109,[4_1|2]), (72,118,[0_1|2]), (72,127,[0_1|2]), (72,136,[3_1|2]), (72,145,[0_1|2]), (72,154,[0_1|2]), (72,163,[0_1|2]), (72,172,[2_1|2]), (72,181,[1_1|2]), (72,190,[1_1|2]), (72,199,[4_1|2]), (72,208,[1_1|2]), (72,217,[1_1|2]), (72,226,[3_1|2]), (72,235,[3_1|2]), (72,244,[1_1|2]), (72,253,[1_1|2]), (72,262,[1_1|2]), (72,271,[2_1|2]), (72,280,[4_1|2]), (72,289,[1_1|2]), (72,298,[1_1|2]), (72,307,[1_1|2]), (72,316,[2_1|2]), (72,325,[2_1|2]), (72,334,[2_1|2]), (72,343,[2_1|2]), (72,352,[2_1|2]), (72,361,[2_1|2]), (72,370,[2_1|2]), (72,379,[2_1|2]), (72,388,[2_1|2]), (72,397,[2_1|2]), (72,406,[2_1|2]), (72,415,[3_1|2]), (72,424,[1_1|2]), (72,433,[2_1|2]), (72,442,[3_1|2]), (72,451,[3_1|2]), (72,460,[1_1|2]), (72,469,[0_1|2]), (72,478,[1_1|2]), (72,487,[2_1|2]), (72,496,[3_1|2]), (72,505,[3_1|2]), (72,514,[3_1|2]), (72,523,[3_1|2]), (72,532,[3_1|2]), (72,541,[4_1|2]), (72,550,[0_1|2]), (72,559,[2_1|2]), (72,568,[4_1|2]), (72,577,[4_1|2]), (72,586,[1_1|2]), (72,595,[4_1|2]), (72,604,[4_1|2]), (72,613,[4_1|2]), (72,622,[4_1|2]), (72,631,[3_1|2]), (72,640,[4_1|2]), (72,649,[4_1|2]), (72,658,[0_1|2]), (72,667,[5_1|2]), (72,676,[5_1|2]), (72,685,[5_1|2]), (72,694,[5_1|2]), (72,703,[4_1|2]), (72,712,[5_1|2]), (72,721,[1_1|2]), (72,730,[1_1|2]), (72,739,[1_1|2]), (72,748,[4_1|2]), (73,74,[2_1|2]), (74,75,[3_1|2]), (75,76,[4_1|2]), (76,77,[2_1|2]), (77,78,[1_1|2]), (78,79,[1_1|2]), (79,80,[4_1|2]), (79,586,[1_1|2]), (79,595,[4_1|2]), (80,81,[2_1|2]), (80,316,[2_1|2]), (80,325,[2_1|2]), (81,72,[0_1|2]), (81,73,[0_1|2, 4_1|2]), (81,109,[0_1|2, 4_1|2]), (81,199,[0_1|2]), (81,280,[0_1|2]), (81,541,[0_1|2]), (81,568,[0_1|2]), (81,577,[0_1|2]), (81,595,[0_1|2]), (81,604,[0_1|2]), (81,613,[0_1|2]), (81,622,[0_1|2]), (81,640,[0_1|2]), (81,649,[0_1|2]), (81,703,[0_1|2]), (81,748,[0_1|2]), (81,515,[0_1|2]), (81,82,[0_1|2]), (81,91,[0_1|2]), (81,100,[0_1|2]), (81,118,[0_1|2]), (81,127,[0_1|2]), (81,136,[3_1|2]), (81,145,[0_1|2]), (81,154,[0_1|2]), (81,163,[0_1|2]), (82,83,[0_1|2]), (83,84,[1_1|2]), (84,85,[3_1|2]), (85,86,[1_1|2]), (86,87,[2_1|2]), (87,88,[5_1|2]), (88,89,[0_1|2]), (88,163,[0_1|2]), (89,90,[5_1|2]), (89,712,[5_1|2]), (89,721,[1_1|2]), (90,72,[5_1|2]), (90,667,[5_1|2]), (90,676,[5_1|2]), (90,685,[5_1|2]), (90,694,[5_1|2]), (90,712,[5_1|2]), (90,713,[5_1|2]), (90,703,[4_1|2]), (90,721,[1_1|2]), (90,730,[1_1|2]), (90,739,[1_1|2]), (90,748,[4_1|2]), (91,92,[0_1|2]), (92,93,[4_1|2]), (93,94,[0_1|2]), (94,95,[1_1|2]), (95,96,[0_1|2]), (96,97,[0_1|2]), (97,98,[2_1|2]), (98,99,[3_1|2]), (98,496,[3_1|2]), (99,72,[3_1|2]), (99,136,[3_1|2]), (99,226,[3_1|2]), (99,235,[3_1|2]), (99,415,[3_1|2]), (99,442,[3_1|2]), (99,451,[3_1|2]), (99,496,[3_1|2]), (99,505,[3_1|2]), (99,514,[3_1|2]), (99,523,[3_1|2]), (99,532,[3_1|2]), (99,631,[3_1|2]), (99,236,[3_1|2]), (99,497,[3_1|2]), (99,424,[1_1|2]), (99,433,[2_1|2]), (99,460,[1_1|2]), (99,469,[0_1|2]), (99,478,[1_1|2]), (99,487,[2_1|2]), (100,101,[0_1|2]), (101,102,[3_1|2]), (102,103,[1_1|2]), (103,104,[5_1|2]), (104,105,[4_1|2]), (105,106,[5_1|2]), (106,107,[5_1|2]), (106,694,[5_1|2]), (107,108,[3_1|2]), (107,415,[3_1|2]), (107,424,[1_1|2]), (107,433,[2_1|2]), (107,442,[3_1|2]), (108,72,[0_1|2]), (108,82,[0_1|2]), (108,91,[0_1|2]), (108,100,[0_1|2]), (108,118,[0_1|2]), (108,127,[0_1|2]), (108,145,[0_1|2]), (108,154,[0_1|2]), (108,163,[0_1|2]), (108,469,[0_1|2]), (108,550,[0_1|2]), (108,658,[0_1|2]), (108,416,[0_1|2]), (108,443,[0_1|2]), (108,696,[0_1|2]), (108,310,[0_1|2]), (108,73,[4_1|2]), (108,109,[4_1|2]), (108,136,[3_1|2]), (109,110,[3_1|2]), (110,111,[2_1|2]), (111,112,[5_1|2]), (112,113,[5_1|2]), (113,114,[3_1|2]), (114,115,[2_1|2]), (114,325,[2_1|2]), (115,116,[0_1|2]), (115,145,[0_1|2]), (116,117,[4_1|2]), (116,613,[4_1|2]), (117,72,[3_1|2]), (117,172,[3_1|2]), (117,271,[3_1|2]), (117,316,[3_1|2]), (117,325,[3_1|2]), (117,334,[3_1|2]), (117,343,[3_1|2]), (117,352,[3_1|2]), (117,361,[3_1|2]), (117,370,[3_1|2]), (117,379,[3_1|2]), (117,388,[3_1|2]), (117,397,[3_1|2]), (117,406,[3_1|2]), (117,433,[3_1|2, 2_1|2]), (117,487,[3_1|2, 2_1|2]), (117,559,[3_1|2]), (117,227,[3_1|2]), (117,452,[3_1|2]), (117,533,[3_1|2]), (117,632,[3_1|2]), (117,264,[3_1|2]), (117,415,[3_1|2]), (117,424,[1_1|2]), (117,442,[3_1|2]), (117,451,[3_1|2]), (117,460,[1_1|2]), (117,469,[0_1|2]), (117,478,[1_1|2]), (117,496,[3_1|2]), (117,505,[3_1|2]), (117,514,[3_1|2]), (117,523,[3_1|2]), (117,532,[3_1|2]), (118,119,[2_1|2]), (119,120,[2_1|2]), (120,121,[0_1|2]), (121,122,[1_1|2]), (122,123,[3_1|2]), (123,124,[0_1|2]), (123,91,[0_1|2]), (124,125,[0_1|2]), (125,126,[4_1|2]), (125,541,[4_1|2]), (125,550,[0_1|2]), (125,559,[2_1|2]), (126,72,[0_1|2]), (126,82,[0_1|2]), (126,91,[0_1|2]), (126,100,[0_1|2]), (126,118,[0_1|2]), (126,127,[0_1|2]), (126,145,[0_1|2]), (126,154,[0_1|2]), (126,163,[0_1|2]), (126,469,[0_1|2]), (126,550,[0_1|2]), (126,658,[0_1|2]), (126,83,[0_1|2]), (126,92,[0_1|2]), (126,101,[0_1|2]), (126,73,[4_1|2]), (126,109,[4_1|2]), (126,136,[3_1|2]), (127,128,[3_1|2]), (128,129,[2_1|2]), (129,130,[0_1|2]), (130,131,[0_1|2]), (131,132,[5_1|2]), (132,133,[4_1|2]), (133,134,[3_1|2]), (134,135,[5_1|2]), (134,694,[5_1|2]), (134,703,[4_1|2]), (135,72,[3_1|2]), (135,136,[3_1|2]), (135,226,[3_1|2]), (135,235,[3_1|2]), (135,415,[3_1|2]), (135,442,[3_1|2]), (135,451,[3_1|2]), (135,496,[3_1|2]), (135,505,[3_1|2]), (135,514,[3_1|2]), (135,523,[3_1|2]), (135,532,[3_1|2]), (135,631,[3_1|2]), (135,695,[3_1|2]), (135,424,[1_1|2]), (135,433,[2_1|2]), (135,460,[1_1|2]), (135,469,[0_1|2]), (135,478,[1_1|2]), (135,487,[2_1|2]), (136,137,[1_1|2]), (137,138,[3_1|2]), (138,139,[1_1|2]), (139,140,[0_1|2]), (140,141,[5_1|2]), (141,142,[1_1|2]), (142,143,[2_1|2]), (143,144,[4_1|2]), (143,640,[4_1|2]), (143,649,[4_1|2]), (143,658,[0_1|2]), (144,72,[5_1|2]), (144,82,[5_1|2]), (144,91,[5_1|2]), (144,100,[5_1|2]), (144,118,[5_1|2]), (144,127,[5_1|2]), (144,145,[5_1|2]), (144,154,[5_1|2]), (144,163,[5_1|2]), (144,469,[5_1|2]), (144,550,[5_1|2]), (144,658,[5_1|2]), (144,272,[5_1|2]), (144,317,[5_1|2]), (144,667,[5_1|2]), (144,676,[5_1|2]), (144,685,[5_1|2]), (144,694,[5_1|2]), (144,703,[4_1|2]), (144,712,[5_1|2]), (144,721,[1_1|2]), (144,730,[1_1|2]), (144,739,[1_1|2]), (144,748,[4_1|2]), (145,146,[4_1|2]), (146,147,[3_1|2]), (147,148,[3_1|2]), (148,149,[1_1|2]), (149,150,[5_1|2]), (150,151,[2_1|2]), (151,152,[4_1|2]), (152,153,[3_1|2]), (152,496,[3_1|2]), (153,72,[3_1|2]), (153,136,[3_1|2]), (153,226,[3_1|2]), (153,235,[3_1|2]), (153,415,[3_1|2]), (153,442,[3_1|2]), (153,451,[3_1|2]), (153,496,[3_1|2]), (153,505,[3_1|2]), (153,514,[3_1|2]), (153,523,[3_1|2]), (153,532,[3_1|2]), (153,631,[3_1|2]), (153,236,[3_1|2]), (153,497,[3_1|2]), (153,424,[1_1|2]), (153,433,[2_1|2]), (153,460,[1_1|2]), (153,469,[0_1|2]), (153,478,[1_1|2]), (153,487,[2_1|2]), (154,155,[5_1|2]), (155,156,[4_1|2]), (156,157,[2_1|2]), (157,158,[0_1|2]), (158,159,[0_1|2]), (159,160,[1_1|2]), (160,161,[3_1|2]), (161,162,[4_1|2]), (161,613,[4_1|2]), (162,72,[3_1|2]), (162,136,[3_1|2]), (162,226,[3_1|2]), (162,235,[3_1|2]), (162,415,[3_1|2]), (162,442,[3_1|2]), (162,451,[3_1|2]), (162,496,[3_1|2]), (162,505,[3_1|2]), (162,514,[3_1|2]), (162,523,[3_1|2]), (162,532,[3_1|2]), (162,631,[3_1|2]), (162,110,[3_1|2]), (162,614,[3_1|2]), (162,424,[1_1|2]), (162,433,[2_1|2]), (162,460,[1_1|2]), (162,469,[0_1|2]), (162,478,[1_1|2]), (162,487,[2_1|2]), (163,164,[5_1|2]), (164,165,[4_1|2]), (165,166,[5_1|2]), (166,167,[0_1|2]), (167,168,[0_1|2]), (168,169,[3_1|2]), (169,170,[1_1|2]), (169,217,[1_1|2]), (169,226,[3_1|2]), (169,235,[3_1|2]), (170,171,[2_1|2]), (170,334,[2_1|2]), (170,343,[2_1|2]), (170,352,[2_1|2]), (170,361,[2_1|2]), (171,72,[1_1|2]), (171,181,[1_1|2]), (171,190,[1_1|2]), (171,208,[1_1|2]), (171,217,[1_1|2]), (171,244,[1_1|2]), (171,253,[1_1|2]), (171,262,[1_1|2]), (171,289,[1_1|2]), (171,298,[1_1|2]), (171,307,[1_1|2]), (171,424,[1_1|2]), (171,460,[1_1|2]), (171,478,[1_1|2]), (171,586,[1_1|2]), (171,721,[1_1|2]), (171,730,[1_1|2]), (171,739,[1_1|2]), (171,335,[1_1|2]), (171,344,[1_1|2]), (171,353,[1_1|2]), (171,434,[1_1|2]), (171,488,[1_1|2]), (171,219,[1_1|2]), (171,172,[2_1|2]), (171,199,[4_1|2]), (171,226,[3_1|2]), (171,235,[3_1|2]), (171,271,[2_1|2]), (171,280,[4_1|2]), (172,173,[4_1|2]), (173,174,[5_1|2]), (174,175,[5_1|2]), (175,176,[1_1|2]), (176,177,[0_1|2]), (177,178,[5_1|2]), (178,179,[5_1|2]), (179,180,[0_1|2]), (179,118,[0_1|2]), (180,72,[2_1|2]), (180,73,[2_1|2]), (180,109,[2_1|2]), (180,199,[2_1|2]), (180,280,[2_1|2]), (180,541,[2_1|2]), (180,568,[2_1|2]), (180,577,[2_1|2]), (180,595,[2_1|2]), (180,604,[2_1|2]), (180,613,[2_1|2]), (180,622,[2_1|2]), (180,640,[2_1|2]), (180,649,[2_1|2]), (180,703,[2_1|2]), (180,748,[2_1|2]), (180,146,[2_1|2]), (180,659,[2_1|2]), (180,316,[2_1|2]), (180,325,[2_1|2]), (180,334,[2_1|2]), (180,343,[2_1|2]), (180,352,[2_1|2]), (180,361,[2_1|2]), (180,370,[2_1|2]), (180,379,[2_1|2]), (180,388,[2_1|2]), (180,397,[2_1|2]), (180,406,[2_1|2]), (181,182,[0_1|2]), (182,183,[0_1|2]), (183,184,[5_1|2]), (184,185,[1_1|2]), (185,186,[3_1|2]), (186,187,[0_1|2]), (187,188,[4_1|2]), (188,189,[4_1|2]), (188,613,[4_1|2]), (189,72,[3_1|2]), (189,136,[3_1|2]), (189,226,[3_1|2]), (189,235,[3_1|2]), (189,415,[3_1|2]), (189,442,[3_1|2]), (189,451,[3_1|2]), (189,496,[3_1|2]), (189,505,[3_1|2]), (189,514,[3_1|2]), (189,523,[3_1|2]), (189,532,[3_1|2]), (189,631,[3_1|2]), (189,110,[3_1|2]), (189,614,[3_1|2]), (189,424,[1_1|2]), (189,433,[2_1|2]), (189,460,[1_1|2]), (189,469,[0_1|2]), (189,478,[1_1|2]), (189,487,[2_1|2]), (190,191,[0_1|2]), (191,192,[1_1|2]), (192,193,[5_1|2]), (193,194,[0_1|2]), (194,195,[5_1|2]), (195,196,[0_1|2]), (196,197,[1_1|2]), (196,262,[1_1|2]), (196,271,[2_1|2]), (197,198,[3_1|2]), (197,451,[3_1|2]), (197,460,[1_1|2]), (197,469,[0_1|2]), (197,478,[1_1|2]), (197,487,[2_1|2]), (198,72,[2_1|2]), (198,172,[2_1|2]), (198,271,[2_1|2]), (198,316,[2_1|2]), (198,325,[2_1|2]), (198,334,[2_1|2]), (198,343,[2_1|2]), (198,352,[2_1|2]), (198,361,[2_1|2]), (198,370,[2_1|2]), (198,379,[2_1|2]), (198,388,[2_1|2]), (198,397,[2_1|2]), (198,406,[2_1|2]), (198,433,[2_1|2]), (198,487,[2_1|2]), (198,559,[2_1|2]), (198,227,[2_1|2]), (198,452,[2_1|2]), (198,533,[2_1|2]), (198,632,[2_1|2]), (198,264,[2_1|2]), (199,200,[4_1|2]), (200,201,[5_1|2]), (201,202,[5_1|2]), (202,203,[2_1|2]), (203,204,[2_1|2]), (204,205,[2_1|2]), (205,206,[4_1|2]), (206,207,[0_1|2]), (206,127,[0_1|2]), (206,136,[3_1|2]), (207,72,[3_1|2]), (207,181,[3_1|2]), (207,190,[3_1|2]), (207,208,[3_1|2]), (207,217,[3_1|2]), (207,244,[3_1|2]), (207,253,[3_1|2]), (207,262,[3_1|2]), (207,289,[3_1|2]), (207,298,[3_1|2]), (207,307,[3_1|2]), (207,424,[3_1|2, 1_1|2]), (207,460,[3_1|2, 1_1|2]), (207,478,[3_1|2, 1_1|2]), (207,586,[3_1|2]), 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(726,727,[1_1|2]), (727,728,[2_1|2]), (728,729,[4_1|2]), (728,640,[4_1|2]), (728,649,[4_1|2]), (728,658,[0_1|2]), (729,72,[5_1|2]), (729,136,[5_1|2]), (729,226,[5_1|2]), (729,235,[5_1|2]), (729,415,[5_1|2]), (729,442,[5_1|2]), (729,451,[5_1|2]), (729,496,[5_1|2]), (729,505,[5_1|2]), (729,514,[5_1|2]), (729,523,[5_1|2]), (729,532,[5_1|2]), (729,631,[5_1|2]), (729,110,[5_1|2]), (729,614,[5_1|2]), (729,667,[5_1|2]), (729,676,[5_1|2]), (729,685,[5_1|2]), (729,694,[5_1|2]), (729,703,[4_1|2]), (729,712,[5_1|2]), (729,721,[1_1|2]), (729,730,[1_1|2]), (729,739,[1_1|2]), (729,748,[4_1|2]), (730,731,[1_1|2]), (731,732,[3_1|2]), (732,733,[4_1|2]), (733,734,[0_1|2]), (734,735,[5_1|2]), (735,736,[4_1|2]), (736,737,[3_1|2]), (736,487,[2_1|2]), (737,738,[2_1|2]), (737,379,[2_1|2]), (737,388,[2_1|2]), (738,72,[4_1|2]), (738,181,[4_1|2]), (738,190,[4_1|2]), (738,208,[4_1|2]), (738,217,[4_1|2]), (738,244,[4_1|2]), (738,253,[4_1|2]), (738,262,[4_1|2]), (738,289,[4_1|2]), (738,298,[4_1|2]), (738,307,[4_1|2]), (738,424,[4_1|2]), (738,460,[4_1|2]), (738,478,[4_1|2]), (738,586,[4_1|2, 1_1|2]), (738,721,[4_1|2]), (738,730,[4_1|2]), (738,739,[4_1|2]), (738,677,[4_1|2]), (738,686,[4_1|2]), (738,300,[4_1|2]), (738,541,[4_1|2]), (738,550,[0_1|2]), (738,559,[2_1|2]), (738,568,[4_1|2]), (738,577,[4_1|2]), (738,595,[4_1|2]), (738,604,[4_1|2]), (738,613,[4_1|2]), (738,622,[4_1|2]), (738,631,[3_1|2]), (738,640,[4_1|2]), (738,649,[4_1|2]), (738,658,[0_1|2]), (739,740,[1_1|2]), (740,741,[4_1|2]), (741,742,[5_1|2]), (742,743,[4_1|2]), (743,744,[3_1|2]), (744,745,[4_1|2]), (745,746,[2_1|2]), (746,747,[2_1|2]), (746,397,[2_1|2]), (746,406,[2_1|2]), (747,72,[5_1|2]), (747,73,[5_1|2]), (747,109,[5_1|2]), (747,199,[5_1|2]), (747,280,[5_1|2]), (747,541,[5_1|2]), (747,568,[5_1|2]), (747,577,[5_1|2]), (747,595,[5_1|2]), (747,604,[5_1|2]), (747,613,[5_1|2]), (747,622,[5_1|2]), (747,640,[5_1|2]), (747,649,[5_1|2]), (747,703,[5_1|2, 4_1|2]), (747,748,[5_1|2, 4_1|2]), (747,173,[5_1|2]), (747,326,[5_1|2]), (747,362,[5_1|2]), (747,380,[5_1|2]), (747,667,[5_1|2]), (747,676,[5_1|2]), (747,685,[5_1|2]), (747,694,[5_1|2]), (747,712,[5_1|2]), (747,721,[1_1|2]), (747,730,[1_1|2]), (747,739,[1_1|2]), (748,749,[0_1|2]), (749,750,[5_1|2]), (750,751,[2_1|2]), (751,752,[0_1|2]), (752,753,[3_1|2]), (753,754,[2_1|2]), (754,755,[3_1|2]), (755,756,[1_1|2]), (755,253,[1_1|2]), (755,262,[1_1|2]), (755,271,[2_1|2]), (756,72,[3_1|2]), (756,181,[3_1|2]), (756,190,[3_1|2]), (756,208,[3_1|2]), (756,217,[3_1|2]), (756,244,[3_1|2]), (756,253,[3_1|2]), (756,262,[3_1|2]), (756,289,[3_1|2]), (756,298,[3_1|2]), (756,307,[3_1|2]), (756,424,[3_1|2, 1_1|2]), (756,460,[3_1|2, 1_1|2]), (756,478,[3_1|2, 1_1|2]), (756,586,[3_1|2]), (756,721,[3_1|2]), (756,730,[3_1|2]), (756,739,[3_1|2]), (756,137,[3_1|2]), (756,506,[3_1|2]), (756,498,[3_1|2]), (756,415,[3_1|2]), (756,433,[2_1|2]), (756,442,[3_1|2]), (756,451,[3_1|2]), (756,469,[0_1|2]), (756,487,[2_1|2]), (756,496,[3_1|2]), (756,505,[3_1|2]), (756,514,[3_1|2]), (756,523,[3_1|2]), (756,532,[3_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)