/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 44 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 359 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(1(0(0(x1)))) -> 0(2(0(x1))) 1(0(3(0(x1)))) -> 2(0(0(x1))) 3(1(4(0(x1)))) -> 3(2(3(x1))) 4(0(3(3(x1)))) -> 1(0(2(x1))) 4(1(3(0(x1)))) -> 4(4(5(x1))) 4(2(3(4(x1)))) -> 4(4(3(4(x1)))) 4(3(4(0(x1)))) -> 2(4(0(x1))) 0(4(5(2(4(x1))))) -> 5(1(2(0(x1)))) 3(0(2(5(3(x1))))) -> 0(4(2(0(x1)))) 3(3(5(3(0(x1))))) -> 1(4(4(1(x1)))) 4(4(4(4(5(0(x1)))))) -> 4(5(5(2(4(4(x1)))))) 2(4(2(0(2(1(5(x1))))))) -> 2(0(1(3(3(3(5(x1))))))) 4(0(3(2(0(2(4(x1))))))) -> 5(2(3(0(2(1(x1)))))) 3(2(0(5(0(2(1(4(x1)))))))) -> 2(2(1(4(5(1(5(x1))))))) 0(3(4(1(4(0(4(1(5(x1))))))))) -> 0(5(2(2(1(3(3(5(x1)))))))) 1(2(5(2(4(0(5(3(3(x1))))))))) -> 2(1(3(3(5(1(0(5(x1)))))))) 3(4(0(4(0(5(4(0(5(x1))))))))) -> 3(0(3(4(0(2(0(0(x1)))))))) 3(3(4(5(2(1(1(4(1(4(x1)))))))))) -> 0(0(3(1(0(0(2(1(1(4(x1)))))))))) 0(2(4(5(4(3(2(3(4(5(5(x1))))))))))) -> 3(0(0(3(0(4(5(2(5(0(2(x1))))))))))) 1(4(2(2(0(2(3(2(2(4(4(x1))))))))))) -> 2(3(1(0(3(0(2(1(0(1(5(0(x1)))))))))))) 1(5(2(0(3(4(2(3(1(4(0(x1))))))))))) -> 4(5(3(1(1(3(4(4(1(3(5(x1))))))))))) 0(0(4(5(3(1(5(0(1(3(3(2(x1)))))))))))) -> 2(2(2(2(4(1(2(5(4(2(x1)))))))))) 3(1(0(1(4(5(3(5(1(1(2(4(x1)))))))))))) -> 3(1(2(3(5(0(4(2(2(4(4(x1))))))))))) 3(2(1(1(2(4(1(2(3(2(1(2(x1)))))))))))) -> 2(3(3(4(0(5(0(0(2(2(1(4(x1)))))))))))) 1(2(2(4(3(2(5(1(3(5(3(5(0(x1))))))))))))) -> 3(3(3(1(0(0(5(4(4(4(4(5(x1)))))))))))) 3(3(5(3(4(0(3(1(0(3(4(4(0(x1))))))))))))) -> 0(1(1(1(5(2(5(4(3(2(4(5(x1)))))))))))) 5(5(4(2(5(3(1(4(2(4(2(5(1(1(x1)))))))))))))) -> 5(3(0(5(3(5(1(5(1(4(4(1(1(x1))))))))))))) 1(0(1(3(0(2(1(3(2(3(5(3(0(5(5(x1))))))))))))))) -> 2(1(5(4(4(0(1(1(3(3(1(1(4(5(x1)))))))))))))) 4(2(4(0(1(3(1(2(1(1(4(1(3(2(0(x1))))))))))))))) -> 4(5(2(3(2(3(1(4(5(0(2(0(5(2(x1)))))))))))))) 3(3(0(1(5(1(1(0(1(2(0(2(4(0(2(5(1(x1))))))))))))))))) -> 1(0(0(0(2(4(0(3(5(0(2(4(5(0(4(5(1(x1))))))))))))))))) 0(1(2(3(0(0(0(1(0(2(0(5(5(5(2(2(0(4(x1)))))))))))))))))) -> 3(1(5(0(2(0(5(4(5(0(1(0(3(2(5(1(4(0(x1)))))))))))))))))) 4(2(1(2(3(5(3(3(1(2(2(1(3(0(0(5(5(5(x1)))))))))))))))))) -> 4(4(1(3(4(0(1(4(3(5(4(4(1(0(0(5(1(2(x1)))))))))))))))))) 5(4(5(5(1(2(0(2(3(0(5(0(3(4(2(0(4(3(x1)))))))))))))))))) -> 5(1(5(5(4(0(0(3(1(3(2(4(4(1(1(4(0(1(x1)))))))))))))))))) 1(5(2(3(1(2(0(2(3(2(2(3(0(1(5(1(1(5(5(x1))))))))))))))))))) -> 1(4(5(0(1(5(3(4(4(2(1(2(1(4(3(3(3(2(3(x1))))))))))))))))))) 2(5(3(3(2(5(5(3(4(5(2(3(0(1(4(3(1(3(4(x1))))))))))))))))))) -> 2(2(3(0(4(5(5(5(1(4(3(1(3(4(1(1(2(x1))))))))))))))))) 2(3(3(4(5(3(3(1(5(5(0(4(1(4(0(2(2(3(1(4(x1)))))))))))))))))))) -> 2(0(1(5(3(2(0(2(5(1(2(4(5(3(4(4(4(0(4(5(x1)))))))))))))))))))) 3(2(3(4(1(2(3(2(3(4(2(1(0(4(1(0(4(2(0(4(x1)))))))))))))))))))) -> 1(3(4(0(0(4(3(4(3(1(3(0(0(4(5(3(1(4(3(4(4(x1))))))))))))))))))))) 4(2(0(0(3(5(0(0(4(1(4(2(1(4(3(2(3(5(5(3(x1)))))))))))))))))))) -> 0(0(0(3(0(4(4(3(0(4(1(3(0(1(0(0(4(4(5(3(x1)))))))))))))))))))) 1(0(3(1(1(1(1(0(1(2(0(5(4(0(3(0(5(3(4(2(0(x1))))))))))))))))))))) -> 0(5(4(2(0(0(3(0(0(1(1(2(3(1(5(1(2(4(2(0(x1)))))))))))))))))))) 5(0(5(0(2(2(4(0(0(5(2(1(2(5(1(1(1(0(1(2(4(x1))))))))))))))))))))) -> 5(4(3(4(5(4(2(5(4(1(4(4(1(3(0(2(2(1(2(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(1(0(0(x1)))) -> 0(2(0(x1))) 1(0(3(0(x1)))) -> 2(0(0(x1))) 3(1(4(0(x1)))) -> 3(2(3(x1))) 4(0(3(3(x1)))) -> 1(0(2(x1))) 4(1(3(0(x1)))) -> 4(4(5(x1))) 4(2(3(4(x1)))) -> 4(4(3(4(x1)))) 4(3(4(0(x1)))) -> 2(4(0(x1))) 0(4(5(2(4(x1))))) -> 5(1(2(0(x1)))) 3(0(2(5(3(x1))))) -> 0(4(2(0(x1)))) 3(3(5(3(0(x1))))) -> 1(4(4(1(x1)))) 4(4(4(4(5(0(x1)))))) -> 4(5(5(2(4(4(x1)))))) 2(4(2(0(2(1(5(x1))))))) -> 2(0(1(3(3(3(5(x1))))))) 4(0(3(2(0(2(4(x1))))))) -> 5(2(3(0(2(1(x1)))))) 3(2(0(5(0(2(1(4(x1)))))))) -> 2(2(1(4(5(1(5(x1))))))) 0(3(4(1(4(0(4(1(5(x1))))))))) -> 0(5(2(2(1(3(3(5(x1)))))))) 1(2(5(2(4(0(5(3(3(x1))))))))) -> 2(1(3(3(5(1(0(5(x1)))))))) 3(4(0(4(0(5(4(0(5(x1))))))))) -> 3(0(3(4(0(2(0(0(x1)))))))) 3(3(4(5(2(1(1(4(1(4(x1)))))))))) -> 0(0(3(1(0(0(2(1(1(4(x1)))))))))) 0(2(4(5(4(3(2(3(4(5(5(x1))))))))))) -> 3(0(0(3(0(4(5(2(5(0(2(x1))))))))))) 1(4(2(2(0(2(3(2(2(4(4(x1))))))))))) -> 2(3(1(0(3(0(2(1(0(1(5(0(x1)))))))))))) 1(5(2(0(3(4(2(3(1(4(0(x1))))))))))) -> 4(5(3(1(1(3(4(4(1(3(5(x1))))))))))) 0(0(4(5(3(1(5(0(1(3(3(2(x1)))))))))))) -> 2(2(2(2(4(1(2(5(4(2(x1)))))))))) 3(1(0(1(4(5(3(5(1(1(2(4(x1)))))))))))) -> 3(1(2(3(5(0(4(2(2(4(4(x1))))))))))) 3(2(1(1(2(4(1(2(3(2(1(2(x1)))))))))))) -> 2(3(3(4(0(5(0(0(2(2(1(4(x1)))))))))))) 1(2(2(4(3(2(5(1(3(5(3(5(0(x1))))))))))))) -> 3(3(3(1(0(0(5(4(4(4(4(5(x1)))))))))))) 3(3(5(3(4(0(3(1(0(3(4(4(0(x1))))))))))))) -> 0(1(1(1(5(2(5(4(3(2(4(5(x1)))))))))))) 5(5(4(2(5(3(1(4(2(4(2(5(1(1(x1)))))))))))))) -> 5(3(0(5(3(5(1(5(1(4(4(1(1(x1))))))))))))) 1(0(1(3(0(2(1(3(2(3(5(3(0(5(5(x1))))))))))))))) -> 2(1(5(4(4(0(1(1(3(3(1(1(4(5(x1)))))))))))))) 4(2(4(0(1(3(1(2(1(1(4(1(3(2(0(x1))))))))))))))) -> 4(5(2(3(2(3(1(4(5(0(2(0(5(2(x1)))))))))))))) 3(3(0(1(5(1(1(0(1(2(0(2(4(0(2(5(1(x1))))))))))))))))) -> 1(0(0(0(2(4(0(3(5(0(2(4(5(0(4(5(1(x1))))))))))))))))) 0(1(2(3(0(0(0(1(0(2(0(5(5(5(2(2(0(4(x1)))))))))))))))))) -> 3(1(5(0(2(0(5(4(5(0(1(0(3(2(5(1(4(0(x1)))))))))))))))))) 4(2(1(2(3(5(3(3(1(2(2(1(3(0(0(5(5(5(x1)))))))))))))))))) -> 4(4(1(3(4(0(1(4(3(5(4(4(1(0(0(5(1(2(x1)))))))))))))))))) 5(4(5(5(1(2(0(2(3(0(5(0(3(4(2(0(4(3(x1)))))))))))))))))) -> 5(1(5(5(4(0(0(3(1(3(2(4(4(1(1(4(0(1(x1)))))))))))))))))) 1(5(2(3(1(2(0(2(3(2(2(3(0(1(5(1(1(5(5(x1))))))))))))))))))) -> 1(4(5(0(1(5(3(4(4(2(1(2(1(4(3(3(3(2(3(x1))))))))))))))))))) 2(5(3(3(2(5(5(3(4(5(2(3(0(1(4(3(1(3(4(x1))))))))))))))))))) -> 2(2(3(0(4(5(5(5(1(4(3(1(3(4(1(1(2(x1))))))))))))))))) 2(3(3(4(5(3(3(1(5(5(0(4(1(4(0(2(2(3(1(4(x1)))))))))))))))))))) -> 2(0(1(5(3(2(0(2(5(1(2(4(5(3(4(4(4(0(4(5(x1)))))))))))))))))))) 3(2(3(4(1(2(3(2(3(4(2(1(0(4(1(0(4(2(0(4(x1)))))))))))))))))))) -> 1(3(4(0(0(4(3(4(3(1(3(0(0(4(5(3(1(4(3(4(4(x1))))))))))))))))))))) 4(2(0(0(3(5(0(0(4(1(4(2(1(4(3(2(3(5(5(3(x1)))))))))))))))))))) -> 0(0(0(3(0(4(4(3(0(4(1(3(0(1(0(0(4(4(5(3(x1)))))))))))))))))))) 1(0(3(1(1(1(1(0(1(2(0(5(4(0(3(0(5(3(4(2(0(x1))))))))))))))))))))) -> 0(5(4(2(0(0(3(0(0(1(1(2(3(1(5(1(2(4(2(0(x1)))))))))))))))))))) 5(0(5(0(2(2(4(0(0(5(2(1(2(5(1(1(1(0(1(2(4(x1))))))))))))))))))))) -> 5(4(3(4(5(4(2(5(4(1(4(4(1(3(0(2(2(1(2(0(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(1(0(0(x1)))) -> 0(2(0(x1))) 1(0(3(0(x1)))) -> 2(0(0(x1))) 3(1(4(0(x1)))) -> 3(2(3(x1))) 4(0(3(3(x1)))) -> 1(0(2(x1))) 4(1(3(0(x1)))) -> 4(4(5(x1))) 4(2(3(4(x1)))) -> 4(4(3(4(x1)))) 4(3(4(0(x1)))) -> 2(4(0(x1))) 0(4(5(2(4(x1))))) -> 5(1(2(0(x1)))) 3(0(2(5(3(x1))))) -> 0(4(2(0(x1)))) 3(3(5(3(0(x1))))) -> 1(4(4(1(x1)))) 4(4(4(4(5(0(x1)))))) -> 4(5(5(2(4(4(x1)))))) 2(4(2(0(2(1(5(x1))))))) -> 2(0(1(3(3(3(5(x1))))))) 4(0(3(2(0(2(4(x1))))))) -> 5(2(3(0(2(1(x1)))))) 3(2(0(5(0(2(1(4(x1)))))))) -> 2(2(1(4(5(1(5(x1))))))) 0(3(4(1(4(0(4(1(5(x1))))))))) -> 0(5(2(2(1(3(3(5(x1)))))))) 1(2(5(2(4(0(5(3(3(x1))))))))) -> 2(1(3(3(5(1(0(5(x1)))))))) 3(4(0(4(0(5(4(0(5(x1))))))))) -> 3(0(3(4(0(2(0(0(x1)))))))) 3(3(4(5(2(1(1(4(1(4(x1)))))))))) -> 0(0(3(1(0(0(2(1(1(4(x1)))))))))) 0(2(4(5(4(3(2(3(4(5(5(x1))))))))))) -> 3(0(0(3(0(4(5(2(5(0(2(x1))))))))))) 1(4(2(2(0(2(3(2(2(4(4(x1))))))))))) -> 2(3(1(0(3(0(2(1(0(1(5(0(x1)))))))))))) 1(5(2(0(3(4(2(3(1(4(0(x1))))))))))) -> 4(5(3(1(1(3(4(4(1(3(5(x1))))))))))) 0(0(4(5(3(1(5(0(1(3(3(2(x1)))))))))))) -> 2(2(2(2(4(1(2(5(4(2(x1)))))))))) 3(1(0(1(4(5(3(5(1(1(2(4(x1)))))))))))) -> 3(1(2(3(5(0(4(2(2(4(4(x1))))))))))) 3(2(1(1(2(4(1(2(3(2(1(2(x1)))))))))))) -> 2(3(3(4(0(5(0(0(2(2(1(4(x1)))))))))))) 1(2(2(4(3(2(5(1(3(5(3(5(0(x1))))))))))))) -> 3(3(3(1(0(0(5(4(4(4(4(5(x1)))))))))))) 3(3(5(3(4(0(3(1(0(3(4(4(0(x1))))))))))))) -> 0(1(1(1(5(2(5(4(3(2(4(5(x1)))))))))))) 5(5(4(2(5(3(1(4(2(4(2(5(1(1(x1)))))))))))))) -> 5(3(0(5(3(5(1(5(1(4(4(1(1(x1))))))))))))) 1(0(1(3(0(2(1(3(2(3(5(3(0(5(5(x1))))))))))))))) -> 2(1(5(4(4(0(1(1(3(3(1(1(4(5(x1)))))))))))))) 4(2(4(0(1(3(1(2(1(1(4(1(3(2(0(x1))))))))))))))) -> 4(5(2(3(2(3(1(4(5(0(2(0(5(2(x1)))))))))))))) 3(3(0(1(5(1(1(0(1(2(0(2(4(0(2(5(1(x1))))))))))))))))) -> 1(0(0(0(2(4(0(3(5(0(2(4(5(0(4(5(1(x1))))))))))))))))) 0(1(2(3(0(0(0(1(0(2(0(5(5(5(2(2(0(4(x1)))))))))))))))))) -> 3(1(5(0(2(0(5(4(5(0(1(0(3(2(5(1(4(0(x1)))))))))))))))))) 4(2(1(2(3(5(3(3(1(2(2(1(3(0(0(5(5(5(x1)))))))))))))))))) -> 4(4(1(3(4(0(1(4(3(5(4(4(1(0(0(5(1(2(x1)))))))))))))))))) 5(4(5(5(1(2(0(2(3(0(5(0(3(4(2(0(4(3(x1)))))))))))))))))) -> 5(1(5(5(4(0(0(3(1(3(2(4(4(1(1(4(0(1(x1)))))))))))))))))) 1(5(2(3(1(2(0(2(3(2(2(3(0(1(5(1(1(5(5(x1))))))))))))))))))) -> 1(4(5(0(1(5(3(4(4(2(1(2(1(4(3(3(3(2(3(x1))))))))))))))))))) 2(5(3(3(2(5(5(3(4(5(2(3(0(1(4(3(1(3(4(x1))))))))))))))))))) -> 2(2(3(0(4(5(5(5(1(4(3(1(3(4(1(1(2(x1))))))))))))))))) 2(3(3(4(5(3(3(1(5(5(0(4(1(4(0(2(2(3(1(4(x1)))))))))))))))))))) -> 2(0(1(5(3(2(0(2(5(1(2(4(5(3(4(4(4(0(4(5(x1)))))))))))))))))))) 3(2(3(4(1(2(3(2(3(4(2(1(0(4(1(0(4(2(0(4(x1)))))))))))))))))))) -> 1(3(4(0(0(4(3(4(3(1(3(0(0(4(5(3(1(4(3(4(4(x1))))))))))))))))))))) 4(2(0(0(3(5(0(0(4(1(4(2(1(4(3(2(3(5(5(3(x1)))))))))))))))))))) -> 0(0(0(3(0(4(4(3(0(4(1(3(0(1(0(0(4(4(5(3(x1)))))))))))))))))))) 1(0(3(1(1(1(1(0(1(2(0(5(4(0(3(0(5(3(4(2(0(x1))))))))))))))))))))) -> 0(5(4(2(0(0(3(0(0(1(1(2(3(1(5(1(2(4(2(0(x1)))))))))))))))))))) 5(0(5(0(2(2(4(0(0(5(2(1(2(5(1(1(1(0(1(2(4(x1))))))))))))))))))))) -> 5(4(3(4(5(4(2(5(4(1(4(4(1(3(0(2(2(1(2(0(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(1(0(0(x1)))) -> 0(2(0(x1))) 1(0(3(0(x1)))) -> 2(0(0(x1))) 3(1(4(0(x1)))) -> 3(2(3(x1))) 4(0(3(3(x1)))) -> 1(0(2(x1))) 4(1(3(0(x1)))) -> 4(4(5(x1))) 4(2(3(4(x1)))) -> 4(4(3(4(x1)))) 4(3(4(0(x1)))) -> 2(4(0(x1))) 0(4(5(2(4(x1))))) -> 5(1(2(0(x1)))) 3(0(2(5(3(x1))))) -> 0(4(2(0(x1)))) 3(3(5(3(0(x1))))) -> 1(4(4(1(x1)))) 4(4(4(4(5(0(x1)))))) -> 4(5(5(2(4(4(x1)))))) 2(4(2(0(2(1(5(x1))))))) -> 2(0(1(3(3(3(5(x1))))))) 4(0(3(2(0(2(4(x1))))))) -> 5(2(3(0(2(1(x1)))))) 3(2(0(5(0(2(1(4(x1)))))))) -> 2(2(1(4(5(1(5(x1))))))) 0(3(4(1(4(0(4(1(5(x1))))))))) -> 0(5(2(2(1(3(3(5(x1)))))))) 1(2(5(2(4(0(5(3(3(x1))))))))) -> 2(1(3(3(5(1(0(5(x1)))))))) 3(4(0(4(0(5(4(0(5(x1))))))))) -> 3(0(3(4(0(2(0(0(x1)))))))) 3(3(4(5(2(1(1(4(1(4(x1)))))))))) -> 0(0(3(1(0(0(2(1(1(4(x1)))))))))) 0(2(4(5(4(3(2(3(4(5(5(x1))))))))))) -> 3(0(0(3(0(4(5(2(5(0(2(x1))))))))))) 1(4(2(2(0(2(3(2(2(4(4(x1))))))))))) -> 2(3(1(0(3(0(2(1(0(1(5(0(x1)))))))))))) 1(5(2(0(3(4(2(3(1(4(0(x1))))))))))) -> 4(5(3(1(1(3(4(4(1(3(5(x1))))))))))) 0(0(4(5(3(1(5(0(1(3(3(2(x1)))))))))))) -> 2(2(2(2(4(1(2(5(4(2(x1)))))))))) 3(1(0(1(4(5(3(5(1(1(2(4(x1)))))))))))) -> 3(1(2(3(5(0(4(2(2(4(4(x1))))))))))) 3(2(1(1(2(4(1(2(3(2(1(2(x1)))))))))))) -> 2(3(3(4(0(5(0(0(2(2(1(4(x1)))))))))))) 1(2(2(4(3(2(5(1(3(5(3(5(0(x1))))))))))))) -> 3(3(3(1(0(0(5(4(4(4(4(5(x1)))))))))))) 3(3(5(3(4(0(3(1(0(3(4(4(0(x1))))))))))))) -> 0(1(1(1(5(2(5(4(3(2(4(5(x1)))))))))))) 5(5(4(2(5(3(1(4(2(4(2(5(1(1(x1)))))))))))))) -> 5(3(0(5(3(5(1(5(1(4(4(1(1(x1))))))))))))) 1(0(1(3(0(2(1(3(2(3(5(3(0(5(5(x1))))))))))))))) -> 2(1(5(4(4(0(1(1(3(3(1(1(4(5(x1)))))))))))))) 4(2(4(0(1(3(1(2(1(1(4(1(3(2(0(x1))))))))))))))) -> 4(5(2(3(2(3(1(4(5(0(2(0(5(2(x1)))))))))))))) 3(3(0(1(5(1(1(0(1(2(0(2(4(0(2(5(1(x1))))))))))))))))) -> 1(0(0(0(2(4(0(3(5(0(2(4(5(0(4(5(1(x1))))))))))))))))) 0(1(2(3(0(0(0(1(0(2(0(5(5(5(2(2(0(4(x1)))))))))))))))))) -> 3(1(5(0(2(0(5(4(5(0(1(0(3(2(5(1(4(0(x1)))))))))))))))))) 4(2(1(2(3(5(3(3(1(2(2(1(3(0(0(5(5(5(x1)))))))))))))))))) -> 4(4(1(3(4(0(1(4(3(5(4(4(1(0(0(5(1(2(x1)))))))))))))))))) 5(4(5(5(1(2(0(2(3(0(5(0(3(4(2(0(4(3(x1)))))))))))))))))) -> 5(1(5(5(4(0(0(3(1(3(2(4(4(1(1(4(0(1(x1)))))))))))))))))) 1(5(2(3(1(2(0(2(3(2(2(3(0(1(5(1(1(5(5(x1))))))))))))))))))) -> 1(4(5(0(1(5(3(4(4(2(1(2(1(4(3(3(3(2(3(x1))))))))))))))))))) 2(5(3(3(2(5(5(3(4(5(2(3(0(1(4(3(1(3(4(x1))))))))))))))))))) -> 2(2(3(0(4(5(5(5(1(4(3(1(3(4(1(1(2(x1))))))))))))))))) 2(3(3(4(5(3(3(1(5(5(0(4(1(4(0(2(2(3(1(4(x1)))))))))))))))))))) -> 2(0(1(5(3(2(0(2(5(1(2(4(5(3(4(4(4(0(4(5(x1)))))))))))))))))))) 3(2(3(4(1(2(3(2(3(4(2(1(0(4(1(0(4(2(0(4(x1)))))))))))))))))))) -> 1(3(4(0(0(4(3(4(3(1(3(0(0(4(5(3(1(4(3(4(4(x1))))))))))))))))))))) 4(2(0(0(3(5(0(0(4(1(4(2(1(4(3(2(3(5(5(3(x1)))))))))))))))))))) -> 0(0(0(3(0(4(4(3(0(4(1(3(0(1(0(0(4(4(5(3(x1)))))))))))))))))))) 1(0(3(1(1(1(1(0(1(2(0(5(4(0(3(0(5(3(4(2(0(x1))))))))))))))))))))) -> 0(5(4(2(0(0(3(0(0(1(1(2(3(1(5(1(2(4(2(0(x1)))))))))))))))))))) 5(0(5(0(2(2(4(0(0(5(2(1(2(5(1(1(1(0(1(2(4(x1))))))))))))))))))))) -> 5(4(3(4(5(4(2(5(4(1(4(4(1(3(0(2(2(1(2(0(x1)))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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 3. The certificate found is represented by the following graph. "[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, 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] {(122,123,[0_1|0, 1_1|0, 3_1|0, 4_1|0, 2_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]), (122,124,[0_1|1, 1_1|1, 3_1|1, 4_1|1, 2_1|1, 5_1|1]), (122,125,[0_1|2]), (122,127,[3_1|2]), (122,144,[5_1|2]), (122,147,[0_1|2]), (122,154,[3_1|2]), (122,164,[2_1|2]), (122,173,[2_1|2]), (122,175,[0_1|2]), (122,194,[2_1|2]), (122,207,[2_1|2]), (122,214,[3_1|2]), (122,225,[2_1|2]), (122,236,[4_1|2]), (122,246,[1_1|2]), (122,264,[3_1|2]), (122,266,[3_1|2]), (122,276,[0_1|2]), (122,279,[1_1|2]), (122,282,[0_1|2]), (122,293,[0_1|2]), (122,302,[1_1|2]), (122,318,[2_1|2]), (122,324,[2_1|2]), (122,335,[1_1|2]), (122,355,[3_1|2]), (122,362,[1_1|2]), (122,364,[5_1|2]), (122,369,[4_1|2]), (122,371,[4_1|2]), (122,374,[4_1|2]), (122,387,[4_1|2]), (122,404,[0_1|2]), (122,423,[2_1|2]), (122,425,[4_1|2]), (122,430,[2_1|2]), (122,436,[2_1|2]), (122,452,[2_1|2]), (122,471,[5_1|2]), (122,483,[5_1|2]), (122,500,[5_1|2]), (123,123,[cons_0_1|0, cons_1_1|0, cons_3_1|0, cons_4_1|0, cons_2_1|0, cons_5_1|0]), (124,123,[encArg_1|1]), (124,124,[0_1|1, 1_1|1, 3_1|1, 4_1|1, 2_1|1, 5_1|1]), (124,125,[0_1|2]), (124,127,[3_1|2]), (124,144,[5_1|2]), (124,147,[0_1|2]), (124,154,[3_1|2]), (124,164,[2_1|2]), (124,173,[2_1|2]), (124,175,[0_1|2]), (124,194,[2_1|2]), (124,207,[2_1|2]), (124,214,[3_1|2]), (124,225,[2_1|2]), (124,236,[4_1|2]), (124,246,[1_1|2]), (124,264,[3_1|2]), (124,266,[3_1|2]), (124,276,[0_1|2]), (124,279,[1_1|2]), (124,282,[0_1|2]), (124,293,[0_1|2]), (124,302,[1_1|2]), (124,318,[2_1|2]), (124,324,[2_1|2]), (124,335,[1_1|2]), (124,355,[3_1|2]), (124,362,[1_1|2]), (124,364,[5_1|2]), (124,369,[4_1|2]), (124,371,[4_1|2]), (124,374,[4_1|2]), (124,387,[4_1|2]), (124,404,[0_1|2]), (124,423,[2_1|2]), (124,425,[4_1|2]), (124,430,[2_1|2]), (124,436,[2_1|2]), (124,452,[2_1|2]), (124,471,[5_1|2]), (124,483,[5_1|2]), (124,500,[5_1|2]), (125,126,[2_1|2]), (126,124,[0_1|2]), (126,125,[0_1|2]), (126,147,[0_1|2]), (126,175,[0_1|2]), (126,276,[0_1|2]), (126,282,[0_1|2]), (126,293,[0_1|2]), (126,404,[0_1|2]), (126,294,[0_1|2]), (126,405,[0_1|2]), (126,304,[0_1|2]), (126,127,[3_1|2]), (126,144,[5_1|2]), (126,154,[3_1|2]), (126,164,[2_1|2]), (126,545,[0_1|3]), (127,128,[1_1|2]), (128,129,[5_1|2]), (129,130,[0_1|2]), (130,131,[2_1|2]), (131,132,[0_1|2]), (132,133,[5_1|2]), (133,134,[4_1|2]), (134,135,[5_1|2]), (135,136,[0_1|2]), (136,137,[1_1|2]), (137,138,[0_1|2]), (138,139,[3_1|2]), (139,140,[2_1|2]), (140,141,[5_1|2]), (141,142,[1_1|2]), (142,143,[4_1|2]), (142,362,[1_1|2]), (142,364,[5_1|2]), (142,547,[1_1|3]), (143,124,[0_1|2]), (143,236,[0_1|2]), (143,369,[0_1|2]), (143,371,[0_1|2]), (143,374,[0_1|2]), (143,387,[0_1|2]), (143,425,[0_1|2]), (143,277,[0_1|2]), (143,125,[0_1|2]), (143,127,[3_1|2]), (143,144,[5_1|2]), (143,147,[0_1|2]), (143,154,[3_1|2]), (143,164,[2_1|2]), (143,545,[0_1|3]), (143,573,[5_1|3]), (144,145,[1_1|2]), (145,146,[2_1|2]), (146,124,[0_1|2]), (146,236,[0_1|2]), (146,369,[0_1|2]), (146,371,[0_1|2]), (146,374,[0_1|2]), (146,387,[0_1|2]), (146,425,[0_1|2]), (146,424,[0_1|2]), (146,125,[0_1|2]), (146,127,[3_1|2]), (146,144,[5_1|2]), (146,147,[0_1|2]), (146,154,[3_1|2]), (146,164,[2_1|2]), (146,545,[0_1|3]), (146,573,[5_1|3]), (147,148,[5_1|2]), (148,149,[2_1|2]), (149,150,[2_1|2]), (150,151,[1_1|2]), (151,152,[3_1|2]), (151,279,[1_1|2]), (151,282,[0_1|2]), (151,549,[1_1|3]), (152,153,[3_1|2]), (153,124,[5_1|2]), (153,144,[5_1|2]), (153,364,[5_1|2]), (153,471,[5_1|2]), (153,483,[5_1|2]), (153,500,[5_1|2]), (154,155,[0_1|2]), (155,156,[0_1|2]), (156,157,[3_1|2]), (157,158,[0_1|2]), (158,159,[4_1|2]), (159,160,[5_1|2]), (160,161,[2_1|2]), (161,162,[5_1|2]), (162,163,[0_1|2]), (162,154,[3_1|2]), (163,124,[2_1|2]), (163,144,[2_1|2]), (163,364,[2_1|2]), (163,471,[2_1|2]), (163,483,[2_1|2]), (163,500,[2_1|2]), (163,427,[2_1|2]), (163,430,[2_1|2]), (163,436,[2_1|2]), (163,452,[2_1|2]), (164,165,[2_1|2]), (165,166,[2_1|2]), (166,167,[2_1|2]), (167,168,[4_1|2]), (168,169,[1_1|2]), (169,170,[2_1|2]), (170,171,[5_1|2]), (171,172,[4_1|2]), (171,371,[4_1|2]), (171,374,[4_1|2]), (171,387,[4_1|2]), (171,404,[0_1|2]), (171,580,[4_1|3]), (172,124,[2_1|2]), (172,164,[2_1|2]), (172,173,[2_1|2]), (172,194,[2_1|2]), (172,207,[2_1|2]), (172,225,[2_1|2]), (172,318,[2_1|2]), (172,324,[2_1|2]), (172,423,[2_1|2]), (172,430,[2_1|2]), (172,436,[2_1|2]), (172,452,[2_1|2]), (172,265,[2_1|2]), (173,174,[0_1|2]), (173,164,[2_1|2]), (174,124,[0_1|2]), (174,125,[0_1|2]), (174,147,[0_1|2]), (174,175,[0_1|2]), (174,276,[0_1|2]), (174,282,[0_1|2]), (174,293,[0_1|2]), (174,404,[0_1|2]), (174,155,[0_1|2]), (174,356,[0_1|2]), (174,127,[3_1|2]), (174,144,[5_1|2]), (174,154,[3_1|2]), (174,164,[2_1|2]), (174,545,[0_1|3]), (175,176,[5_1|2]), (176,177,[4_1|2]), (177,178,[2_1|2]), (178,179,[0_1|2]), (179,180,[0_1|2]), (180,181,[3_1|2]), (181,182,[0_1|2]), (182,183,[0_1|2]), (183,184,[1_1|2]), (184,185,[1_1|2]), (185,186,[2_1|2]), (186,187,[3_1|2]), (187,188,[1_1|2]), (188,189,[5_1|2]), (189,190,[1_1|2]), (190,191,[2_1|2]), (190,430,[2_1|2]), (190,552,[2_1|3]), (191,192,[4_1|2]), (191,404,[0_1|2]), (192,193,[2_1|2]), (193,124,[0_1|2]), (193,125,[0_1|2]), (193,147,[0_1|2]), (193,175,[0_1|2]), (193,276,[0_1|2]), (193,282,[0_1|2]), (193,293,[0_1|2]), (193,404,[0_1|2]), (193,174,[0_1|2]), (193,431,[0_1|2]), (193,453,[0_1|2]), (193,127,[3_1|2]), (193,144,[5_1|2]), (193,154,[3_1|2]), (193,164,[2_1|2]), (193,545,[0_1|3]), (194,195,[1_1|2]), (195,196,[5_1|2]), (196,197,[4_1|2]), (197,198,[4_1|2]), (198,199,[0_1|2]), (199,200,[1_1|2]), (200,201,[1_1|2]), (201,202,[3_1|2]), (202,203,[3_1|2]), (203,204,[1_1|2]), (204,205,[1_1|2]), (205,206,[4_1|2]), (206,124,[5_1|2]), (206,144,[5_1|2]), (206,364,[5_1|2]), (206,471,[5_1|2]), (206,483,[5_1|2]), (206,500,[5_1|2]), (207,208,[1_1|2]), (208,209,[3_1|2]), (209,210,[3_1|2]), (210,211,[5_1|2]), (211,212,[1_1|2]), (212,213,[0_1|2]), (213,124,[5_1|2]), (213,127,[5_1|2]), (213,154,[5_1|2]), (213,214,[5_1|2]), (213,264,[5_1|2]), (213,266,[5_1|2]), (213,355,[5_1|2]), (213,215,[5_1|2]), (213,471,[5_1|2]), (213,483,[5_1|2]), (213,500,[5_1|2]), (214,215,[3_1|2]), (215,216,[3_1|2]), (216,217,[1_1|2]), (217,218,[0_1|2]), (218,219,[0_1|2]), (219,220,[5_1|2]), (220,221,[4_1|2]), (220,425,[4_1|2]), (220,558,[4_1|3]), (221,222,[4_1|2]), (222,223,[4_1|2]), (223,224,[4_1|2]), (224,124,[5_1|2]), (224,125,[5_1|2]), (224,147,[5_1|2]), (224,175,[5_1|2]), (224,276,[5_1|2]), (224,282,[5_1|2]), (224,293,[5_1|2]), (224,404,[5_1|2]), (224,471,[5_1|2]), (224,483,[5_1|2]), (224,500,[5_1|2]), (225,226,[3_1|2]), (226,227,[1_1|2]), (226,563,[2_1|3]), (227,228,[0_1|2]), (228,229,[3_1|2]), (229,230,[0_1|2]), (230,231,[2_1|2]), (231,232,[1_1|2]), (232,233,[0_1|2]), (233,234,[1_1|2]), (234,235,[5_1|2]), (234,500,[5_1|2]), (235,124,[0_1|2]), (235,236,[0_1|2]), (235,369,[0_1|2]), (235,371,[0_1|2]), (235,374,[0_1|2]), (235,387,[0_1|2]), (235,425,[0_1|2]), (235,370,[0_1|2]), (235,372,[0_1|2]), (235,388,[0_1|2]), (235,125,[0_1|2]), (235,127,[3_1|2]), (235,144,[5_1|2]), (235,147,[0_1|2]), (235,154,[3_1|2]), (235,164,[2_1|2]), (235,545,[0_1|3]), (235,573,[5_1|3]), (236,237,[5_1|2]), (237,238,[3_1|2]), (238,239,[1_1|2]), (239,240,[1_1|2]), (240,241,[3_1|2]), (241,242,[4_1|2]), (242,243,[4_1|2]), (243,244,[1_1|2]), (244,245,[3_1|2]), (245,124,[5_1|2]), (245,125,[5_1|2]), (245,147,[5_1|2]), (245,175,[5_1|2]), (245,276,[5_1|2]), (245,282,[5_1|2]), (245,293,[5_1|2]), (245,404,[5_1|2]), (245,471,[5_1|2]), (245,483,[5_1|2]), (245,500,[5_1|2]), (246,247,[4_1|2]), (247,248,[5_1|2]), (248,249,[0_1|2]), (249,250,[1_1|2]), (250,251,[5_1|2]), (251,252,[3_1|2]), (252,253,[4_1|2]), (253,254,[4_1|2]), (254,255,[2_1|2]), (255,256,[1_1|2]), (256,257,[2_1|2]), (257,258,[1_1|2]), (258,259,[4_1|2]), (259,260,[3_1|2]), (260,261,[3_1|2]), (261,262,[3_1|2]), (261,335,[1_1|2]), (262,263,[2_1|2]), (262,452,[2_1|2]), (263,124,[3_1|2]), (263,144,[3_1|2]), (263,364,[3_1|2]), (263,471,[3_1|2]), (263,483,[3_1|2]), (263,500,[3_1|2]), (263,264,[3_1|2]), (263,266,[3_1|2]), (263,276,[0_1|2]), (263,279,[1_1|2]), (263,282,[0_1|2]), (263,293,[0_1|2]), (263,302,[1_1|2]), (263,318,[2_1|2]), (263,324,[2_1|2]), (263,335,[1_1|2]), (263,355,[3_1|2]), (263,587,[3_1|3]), (264,265,[2_1|2]), (264,452,[2_1|2]), (265,124,[3_1|2]), (265,125,[3_1|2]), (265,147,[3_1|2]), (265,175,[3_1|2]), (265,276,[3_1|2, 0_1|2]), (265,282,[3_1|2, 0_1|2]), (265,293,[3_1|2, 0_1|2]), (265,404,[3_1|2]), (265,264,[3_1|2]), (265,266,[3_1|2]), (265,279,[1_1|2]), (265,302,[1_1|2]), (265,318,[2_1|2]), (265,324,[2_1|2]), (265,335,[1_1|2]), (265,355,[3_1|2]), (265,587,[3_1|3]), (266,267,[1_1|2]), (267,268,[2_1|2]), (268,269,[3_1|2]), (269,270,[5_1|2]), (270,271,[0_1|2]), (271,272,[4_1|2]), (272,273,[2_1|2]), (273,274,[2_1|2]), (274,275,[4_1|2]), (274,425,[4_1|2]), (274,558,[4_1|3]), (274,565,[4_1|3]), (274,374,[4_1|2]), (275,124,[4_1|2]), (275,236,[4_1|2]), (275,369,[4_1|2]), (275,371,[4_1|2]), (275,374,[4_1|2]), (275,387,[4_1|2]), (275,425,[4_1|2]), (275,424,[4_1|2]), (275,362,[1_1|2]), (275,364,[5_1|2]), (275,404,[0_1|2]), (275,423,[2_1|2]), (275,565,[4_1|3]), (275,547,[1_1|3]), (276,277,[4_1|2]), (276,404,[0_1|2]), (277,278,[2_1|2]), (278,124,[0_1|2]), (278,127,[0_1|2, 3_1|2]), (278,154,[0_1|2, 3_1|2]), (278,214,[0_1|2]), (278,264,[0_1|2]), (278,266,[0_1|2]), (278,355,[0_1|2]), (278,472,[0_1|2]), (278,125,[0_1|2]), (278,144,[5_1|2]), (278,147,[0_1|2]), (278,164,[2_1|2]), (278,545,[0_1|3]), (279,280,[4_1|2]), (280,281,[4_1|2]), (280,369,[4_1|2]), (280,565,[4_1|3]), (280,404,[0_1|2]), (281,124,[1_1|2]), (281,125,[1_1|2]), (281,147,[1_1|2]), (281,175,[1_1|2, 0_1|2]), (281,276,[1_1|2]), (281,282,[1_1|2]), (281,293,[1_1|2]), (281,404,[1_1|2]), (281,155,[1_1|2]), (281,356,[1_1|2]), (281,473,[1_1|2]), (281,173,[2_1|2]), (281,194,[2_1|2]), (281,207,[2_1|2]), (281,214,[3_1|2]), (281,225,[2_1|2]), (281,236,[4_1|2]), (281,246,[1_1|2]), (281,583,[2_1|3]), (282,283,[1_1|2]), (283,284,[1_1|2]), (284,285,[1_1|2]), (285,286,[5_1|2]), (286,287,[2_1|2]), (287,288,[5_1|2]), (288,289,[4_1|2]), (289,290,[3_1|2]), (290,291,[2_1|2]), (291,292,[4_1|2]), (292,124,[5_1|2]), (292,125,[5_1|2]), (292,147,[5_1|2]), (292,175,[5_1|2]), (292,276,[5_1|2]), (292,282,[5_1|2]), (292,293,[5_1|2]), (292,404,[5_1|2]), (292,471,[5_1|2]), (292,483,[5_1|2]), (292,500,[5_1|2]), (293,294,[0_1|2]), (294,295,[3_1|2]), (295,296,[1_1|2]), (296,297,[0_1|2]), (297,298,[0_1|2]), (298,299,[2_1|2]), (299,300,[1_1|2]), (300,301,[1_1|2]), (300,225,[2_1|2]), (301,124,[4_1|2]), (301,236,[4_1|2]), (301,369,[4_1|2]), (301,371,[4_1|2]), (301,374,[4_1|2]), (301,387,[4_1|2]), (301,425,[4_1|2]), (301,247,[4_1|2]), (301,280,[4_1|2]), (301,362,[1_1|2]), (301,364,[5_1|2]), (301,404,[0_1|2]), (301,423,[2_1|2]), (301,565,[4_1|3]), (302,303,[0_1|2]), (303,304,[0_1|2]), (304,305,[0_1|2]), (305,306,[2_1|2]), (306,307,[4_1|2]), (307,308,[0_1|2]), (308,309,[3_1|2]), (309,310,[5_1|2]), (310,311,[0_1|2]), (311,312,[2_1|2]), (312,313,[4_1|2]), (313,314,[5_1|2]), (314,315,[0_1|2]), (315,316,[4_1|2]), (316,317,[5_1|2]), (317,124,[1_1|2]), (317,246,[1_1|2]), (317,279,[1_1|2]), (317,302,[1_1|2]), (317,335,[1_1|2]), (317,362,[1_1|2]), (317,145,[1_1|2]), (317,484,[1_1|2]), (317,173,[2_1|2]), (317,175,[0_1|2]), (317,194,[2_1|2]), (317,207,[2_1|2]), (317,214,[3_1|2]), (317,225,[2_1|2]), (317,236,[4_1|2]), (318,319,[2_1|2]), (319,320,[1_1|2]), (320,321,[4_1|2]), (321,322,[5_1|2]), (322,323,[1_1|2]), (322,236,[4_1|2]), (322,246,[1_1|2]), (323,124,[5_1|2]), (323,236,[5_1|2]), (323,369,[5_1|2]), (323,371,[5_1|2]), (323,374,[5_1|2]), (323,387,[5_1|2]), (323,425,[5_1|2]), (323,247,[5_1|2]), (323,280,[5_1|2]), (323,471,[5_1|2]), (323,483,[5_1|2]), (323,500,[5_1|2]), (324,325,[3_1|2]), (325,326,[3_1|2]), (326,327,[4_1|2]), (327,328,[0_1|2]), (328,329,[5_1|2]), (329,330,[0_1|2]), (330,331,[0_1|2]), (331,332,[2_1|2]), (332,333,[2_1|2]), (333,334,[1_1|2]), (333,225,[2_1|2]), (334,124,[4_1|2]), (334,164,[4_1|2]), (334,173,[4_1|2]), (334,194,[4_1|2]), (334,207,[4_1|2]), (334,225,[4_1|2]), (334,318,[4_1|2]), (334,324,[4_1|2]), (334,423,[4_1|2, 2_1|2]), (334,430,[4_1|2]), (334,436,[4_1|2]), (334,452,[4_1|2]), (334,362,[1_1|2]), (334,364,[5_1|2]), (334,369,[4_1|2]), (334,371,[4_1|2]), (334,374,[4_1|2]), (334,387,[4_1|2]), (334,404,[0_1|2]), (334,425,[4_1|2]), (334,565,[4_1|3]), (335,336,[3_1|2]), (336,337,[4_1|2]), (337,338,[0_1|2]), (338,339,[0_1|2]), (339,340,[4_1|2]), (340,341,[3_1|2]), (341,342,[4_1|2]), (342,343,[3_1|2]), (343,344,[1_1|2]), (344,345,[3_1|2]), (345,346,[0_1|2]), (346,347,[0_1|2]), (347,348,[4_1|2]), (348,349,[5_1|2]), (349,350,[3_1|2]), (350,351,[1_1|2]), (351,352,[4_1|2]), (351,567,[2_1|3]), (352,353,[3_1|2]), (353,354,[4_1|2]), (353,425,[4_1|2]), (353,558,[4_1|3]), (353,565,[4_1|3]), (353,374,[4_1|2]), (354,124,[4_1|2]), (354,236,[4_1|2]), (354,369,[4_1|2]), (354,371,[4_1|2]), (354,374,[4_1|2]), (354,387,[4_1|2]), (354,425,[4_1|2]), (354,277,[4_1|2]), (354,362,[1_1|2]), (354,364,[5_1|2]), (354,404,[0_1|2]), (354,423,[2_1|2]), (354,565,[4_1|3]), (355,356,[0_1|2]), (356,357,[3_1|2]), (357,358,[4_1|2]), (358,359,[0_1|2]), (359,360,[2_1|2]), (360,361,[0_1|2]), (360,164,[2_1|2]), (361,124,[0_1|2]), (361,144,[0_1|2, 5_1|2]), (361,364,[0_1|2]), (361,471,[0_1|2]), (361,483,[0_1|2]), (361,500,[0_1|2]), (361,148,[0_1|2]), (361,176,[0_1|2]), (361,125,[0_1|2]), (361,127,[3_1|2]), (361,147,[0_1|2]), (361,154,[3_1|2]), (361,164,[2_1|2]), (361,545,[0_1|3]), (362,363,[0_1|2]), (362,154,[3_1|2]), (363,124,[2_1|2]), (363,127,[2_1|2]), (363,154,[2_1|2]), (363,214,[2_1|2]), (363,264,[2_1|2]), (363,266,[2_1|2]), (363,355,[2_1|2]), (363,215,[2_1|2]), (363,430,[2_1|2]), (363,436,[2_1|2]), (363,452,[2_1|2]), (364,365,[2_1|2]), (365,366,[3_1|2]), (366,367,[0_1|2]), (367,368,[2_1|2]), (368,124,[1_1|2]), (368,236,[1_1|2, 4_1|2]), (368,369,[1_1|2]), (368,371,[1_1|2]), (368,374,[1_1|2]), (368,387,[1_1|2]), (368,425,[1_1|2]), (368,424,[1_1|2]), (368,173,[2_1|2]), (368,175,[0_1|2]), (368,194,[2_1|2]), (368,207,[2_1|2]), (368,214,[3_1|2]), (368,225,[2_1|2]), (368,246,[1_1|2]), (368,585,[2_1|3]), (369,370,[4_1|2]), (370,124,[5_1|2]), (370,125,[5_1|2]), (370,147,[5_1|2]), (370,175,[5_1|2]), (370,276,[5_1|2]), (370,282,[5_1|2]), (370,293,[5_1|2]), (370,404,[5_1|2]), (370,155,[5_1|2]), (370,356,[5_1|2]), (370,471,[5_1|2]), (370,483,[5_1|2]), (370,500,[5_1|2]), (371,372,[4_1|2]), (371,423,[2_1|2]), (371,567,[2_1|3]), (372,373,[3_1|2]), (372,355,[3_1|2]), (373,124,[4_1|2]), (373,236,[4_1|2]), (373,369,[4_1|2]), (373,371,[4_1|2]), (373,374,[4_1|2]), (373,387,[4_1|2]), (373,425,[4_1|2]), (373,362,[1_1|2]), (373,364,[5_1|2]), (373,404,[0_1|2]), (373,423,[2_1|2]), (373,565,[4_1|3]), (374,375,[5_1|2]), (375,376,[2_1|2]), (376,377,[3_1|2]), (377,378,[2_1|2]), (378,379,[3_1|2]), (379,380,[1_1|2]), (380,381,[4_1|2]), (381,382,[5_1|2]), (382,383,[0_1|2]), (383,384,[2_1|2]), (384,385,[0_1|2]), (385,386,[5_1|2]), (386,124,[2_1|2]), (386,125,[2_1|2]), (386,147,[2_1|2]), (386,175,[2_1|2]), (386,276,[2_1|2]), (386,282,[2_1|2]), (386,293,[2_1|2]), (386,404,[2_1|2]), (386,174,[2_1|2]), (386,431,[2_1|2]), (386,453,[2_1|2]), (386,430,[2_1|2]), (386,436,[2_1|2]), (386,452,[2_1|2]), (386,552,[2_1|3]), (387,388,[4_1|2]), (388,389,[1_1|2]), (389,390,[3_1|2]), (390,391,[4_1|2]), (391,392,[0_1|2]), (392,393,[1_1|2]), (393,394,[4_1|2]), (394,395,[3_1|2]), (395,396,[5_1|2]), (396,397,[4_1|2]), (397,398,[4_1|2]), (398,399,[1_1|2]), (399,400,[0_1|2]), (400,401,[0_1|2]), (401,402,[5_1|2]), (402,403,[1_1|2]), (402,207,[2_1|2]), (402,214,[3_1|2]), (403,124,[2_1|2]), (403,144,[2_1|2]), (403,364,[2_1|2]), (403,471,[2_1|2]), (403,483,[2_1|2]), (403,500,[2_1|2]), (403,430,[2_1|2]), (403,436,[2_1|2]), (403,452,[2_1|2]), (404,405,[0_1|2]), (405,406,[0_1|2]), (406,407,[3_1|2]), (407,408,[0_1|2]), (408,409,[4_1|2]), (409,410,[4_1|2]), (410,411,[3_1|2]), (411,412,[0_1|2]), (412,413,[4_1|2]), (412,569,[4_1|3]), (413,414,[1_1|2]), (414,415,[3_1|2]), (415,416,[0_1|2]), (415,571,[0_1|3]), (416,417,[1_1|2]), (417,418,[0_1|2]), (418,419,[0_1|2]), (419,420,[4_1|2]), (420,421,[4_1|2]), (421,422,[5_1|2]), (422,124,[3_1|2]), (422,127,[3_1|2]), (422,154,[3_1|2]), (422,214,[3_1|2]), (422,264,[3_1|2]), (422,266,[3_1|2]), (422,355,[3_1|2]), (422,472,[3_1|2]), (422,276,[0_1|2]), (422,279,[1_1|2]), (422,282,[0_1|2]), (422,293,[0_1|2]), (422,302,[1_1|2]), (422,318,[2_1|2]), (422,324,[2_1|2]), (422,335,[1_1|2]), (422,587,[3_1|3]), (423,424,[4_1|2]), (423,362,[1_1|2]), (423,364,[5_1|2]), (423,547,[1_1|3]), (424,124,[0_1|2]), (424,125,[0_1|2]), (424,147,[0_1|2]), (424,175,[0_1|2]), (424,276,[0_1|2]), (424,282,[0_1|2]), (424,293,[0_1|2]), (424,404,[0_1|2]), (424,127,[3_1|2]), (424,144,[5_1|2]), (424,154,[3_1|2]), (424,164,[2_1|2]), (424,545,[0_1|3]), (425,426,[5_1|2]), (426,427,[5_1|2]), (427,428,[2_1|2]), (428,429,[4_1|2]), (428,425,[4_1|2]), (428,558,[4_1|3]), (428,565,[4_1|3]), (428,374,[4_1|2]), (429,124,[4_1|2]), (429,125,[4_1|2]), (429,147,[4_1|2]), (429,175,[4_1|2]), (429,276,[4_1|2]), (429,282,[4_1|2]), (429,293,[4_1|2]), (429,404,[4_1|2, 0_1|2]), (429,362,[1_1|2]), (429,364,[5_1|2]), (429,369,[4_1|2]), (429,371,[4_1|2]), (429,374,[4_1|2]), (429,387,[4_1|2]), (429,423,[2_1|2]), (429,425,[4_1|2]), (429,294,[4_1|2]), (429,405,[4_1|2]), (429,156,[4_1|2]), (429,565,[4_1|3]), (430,431,[0_1|2]), (431,432,[1_1|2]), (432,433,[3_1|2]), (432,587,[3_1|3]), (433,434,[3_1|2]), (433,279,[1_1|2]), (433,282,[0_1|2]), (433,549,[1_1|3]), (434,435,[3_1|2]), (435,124,[5_1|2]), (435,144,[5_1|2]), (435,364,[5_1|2]), (435,471,[5_1|2]), (435,483,[5_1|2]), (435,500,[5_1|2]), (435,196,[5_1|2]), (436,437,[2_1|2]), (437,438,[3_1|2]), (438,439,[0_1|2]), (439,440,[4_1|2]), (440,441,[5_1|2]), (441,442,[5_1|2]), (442,443,[5_1|2]), (443,444,[1_1|2]), (444,445,[4_1|2]), (445,446,[3_1|2]), (446,447,[1_1|2]), (447,448,[3_1|2]), (448,449,[4_1|2]), (449,450,[1_1|2]), (450,451,[1_1|2]), (450,207,[2_1|2]), (450,214,[3_1|2]), (451,124,[2_1|2]), (451,236,[2_1|2]), (451,369,[2_1|2]), (451,371,[2_1|2]), (451,374,[2_1|2]), (451,387,[2_1|2]), (451,425,[2_1|2]), (451,337,[2_1|2]), (451,430,[2_1|2]), (451,436,[2_1|2]), (451,452,[2_1|2]), (452,453,[0_1|2]), (453,454,[1_1|2]), (454,455,[5_1|2]), (455,456,[3_1|2]), (456,457,[2_1|2]), (457,458,[0_1|2]), (458,459,[2_1|2]), (459,460,[5_1|2]), (460,461,[1_1|2]), (461,462,[2_1|2]), (462,463,[4_1|2]), (463,464,[5_1|2]), (464,465,[3_1|2]), (465,466,[4_1|2]), (466,467,[4_1|2]), (467,468,[4_1|2]), (468,469,[0_1|2]), (468,144,[5_1|2]), (468,573,[5_1|3]), (469,470,[4_1|2]), (470,124,[5_1|2]), (470,236,[5_1|2]), (470,369,[5_1|2]), (470,371,[5_1|2]), (470,374,[5_1|2]), (470,387,[5_1|2]), (470,425,[5_1|2]), (470,247,[5_1|2]), (470,280,[5_1|2]), (470,471,[5_1|2]), (470,483,[5_1|2]), (470,500,[5_1|2]), (471,472,[3_1|2]), (472,473,[0_1|2]), (473,474,[5_1|2]), (474,475,[3_1|2]), (475,476,[5_1|2]), (476,477,[1_1|2]), (477,478,[5_1|2]), (478,479,[1_1|2]), (479,480,[4_1|2]), (480,481,[4_1|2]), (481,482,[1_1|2]), (482,124,[1_1|2]), (482,246,[1_1|2]), (482,279,[1_1|2]), (482,302,[1_1|2]), (482,335,[1_1|2]), (482,362,[1_1|2]), (482,173,[2_1|2]), (482,175,[0_1|2]), (482,194,[2_1|2]), (482,207,[2_1|2]), (482,214,[3_1|2]), (482,225,[2_1|2]), (482,236,[4_1|2]), (483,484,[1_1|2]), (484,485,[5_1|2]), (485,486,[5_1|2]), (486,487,[4_1|2]), (487,488,[0_1|2]), (488,489,[0_1|2]), (489,490,[3_1|2]), (490,491,[1_1|2]), (491,492,[3_1|2]), (492,493,[2_1|2]), (493,494,[4_1|2]), (494,495,[4_1|2]), (495,496,[1_1|2]), (496,497,[1_1|2]), (497,498,[4_1|2]), (497,547,[1_1|3]), (498,499,[0_1|2]), (498,125,[0_1|2]), (498,127,[3_1|2]), (498,576,[0_1|3]), (499,124,[1_1|2]), (499,127,[1_1|2]), (499,154,[1_1|2]), (499,214,[1_1|2, 3_1|2]), (499,264,[1_1|2]), (499,266,[1_1|2]), (499,355,[1_1|2]), (499,173,[2_1|2]), (499,175,[0_1|2]), (499,194,[2_1|2]), (499,207,[2_1|2]), (499,225,[2_1|2]), (499,236,[4_1|2]), (499,246,[1_1|2]), (500,501,[4_1|2]), (501,502,[3_1|2]), (502,503,[4_1|2]), (503,504,[5_1|2]), (504,505,[4_1|2]), (505,506,[2_1|2]), (506,507,[5_1|2]), (507,508,[4_1|2]), (508,509,[1_1|2]), (509,510,[4_1|2]), (510,511,[4_1|2]), (510,578,[4_1|3]), (511,512,[1_1|2]), (512,513,[3_1|2]), (513,514,[0_1|2]), (514,515,[2_1|2]), (515,516,[2_1|2]), (516,517,[1_1|2]), (517,518,[2_1|2]), (518,124,[0_1|2]), (518,236,[0_1|2]), (518,369,[0_1|2]), (518,371,[0_1|2]), (518,374,[0_1|2]), (518,387,[0_1|2]), (518,425,[0_1|2]), (518,424,[0_1|2]), (518,125,[0_1|2]), (518,127,[3_1|2]), (518,144,[5_1|2]), (518,147,[0_1|2]), (518,154,[3_1|2]), (518,164,[2_1|2]), (518,545,[0_1|3]), (518,573,[5_1|3]), (545,546,[2_1|3]), (546,304,[0_1|3]), (547,548,[0_1|3]), (548,215,[2_1|3]), (549,550,[4_1|3]), (550,551,[4_1|3]), (551,155,[1_1|3]), (551,356,[1_1|3]), (551,473,[1_1|3]), (551,583,[2_1|3]), (552,553,[0_1|3]), (553,554,[1_1|3]), (554,555,[3_1|3]), (555,556,[3_1|3]), (556,557,[3_1|3]), (557,196,[5_1|3]), (558,559,[5_1|3]), (559,560,[5_1|3]), (560,561,[2_1|3]), (561,562,[4_1|3]), (562,125,[4_1|3]), (562,147,[4_1|3]), (562,175,[4_1|3]), (562,276,[4_1|3]), (562,282,[4_1|3]), (562,293,[4_1|3]), (562,404,[4_1|3, 0_1|2]), (562,294,[4_1|3]), (562,405,[4_1|3]), (562,156,[4_1|3]), (563,564,[0_1|3]), (564,230,[0_1|3]), (565,566,[4_1|3]), (566,155,[5_1|3]), (566,356,[5_1|3]), (567,568,[4_1|3]), (568,125,[0_1|3]), (568,147,[0_1|3]), (568,175,[0_1|3]), (568,276,[0_1|3]), (568,282,[0_1|3]), (568,293,[0_1|3]), (568,404,[0_1|3]), (569,570,[4_1|3]), (570,416,[5_1|3]), (570,571,[5_1|3]), (571,572,[2_1|3]), (572,419,[0_1|3]), (573,574,[1_1|3]), (574,575,[2_1|3]), (575,424,[0_1|3]), (575,568,[0_1|3]), (575,164,[2_1|2]), (576,577,[2_1|3]), (577,294,[0_1|3]), (577,405,[0_1|3]), (577,404,[0_1|3]), (577,156,[0_1|3]), (578,579,[4_1|3]), (579,514,[5_1|3]), (580,581,[4_1|3]), (581,582,[3_1|3]), (582,236,[4_1|3]), (582,369,[4_1|3]), (582,371,[4_1|3]), (582,374,[4_1|3, 4_1|2]), (582,387,[4_1|3]), (582,425,[4_1|3]), (582,277,[4_1|3]), (582,404,[0_1|2]), (583,584,[0_1|3]), (584,158,[0_1|3]), (585,586,[0_1|3]), (586,155,[0_1|3]), (586,356,[0_1|3]), (587,588,[2_1|3]), (588,404,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)