/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 79 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 166 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(2(3(x1)))) -> 3(2(4(x1))) 2(3(3(0(4(x1))))) -> 4(2(1(5(x1)))) 0(3(3(1(1(4(x1)))))) -> 3(2(3(0(1(3(x1)))))) 5(1(3(0(4(0(x1)))))) -> 3(5(3(3(2(x1))))) 0(3(2(1(4(0(1(x1))))))) -> 4(0(5(1(3(0(1(x1))))))) 2(2(0(2(5(2(0(x1))))))) -> 2(2(1(2(5(1(3(x1))))))) 4(5(3(2(4(4(2(2(x1)))))))) -> 4(0(5(0(0(0(2(2(x1)))))))) 1(0(2(5(2(3(0(1(1(x1))))))))) -> 1(5(1(2(0(2(4(4(1(x1))))))))) 4(4(0(3(5(1(2(4(4(x1))))))))) -> 1(5(2(0(3(5(0(0(x1)))))))) 0(4(1(2(0(5(0(2(2(4(x1)))))))))) -> 2(5(4(0(1(2(5(3(4(x1))))))))) 4(5(4(1(2(4(1(0(1(5(x1)))))))))) -> 1(1(0(1(3(1(5(2(5(x1))))))))) 5(1(0(3(2(3(4(5(4(3(x1)))))))))) -> 5(2(0(5(3(4(2(5(3(x1))))))))) 1(3(0(4(3(0(5(3(2(5(3(x1))))))))))) -> 1(3(0(0(0(3(1(3(3(5(3(x1))))))))))) 4(5(0(0(4(4(5(0(5(4(5(x1))))))))))) -> 2(4(2(2(2(4(3(1(4(5(x1)))))))))) 2(3(0(0(5(4(1(3(4(0(1(4(x1)))))))))))) -> 4(0(3(3(4(5(1(1(4(2(4(x1))))))))))) 5(1(4(3(0(5(1(2(5(5(4(0(x1)))))))))))) -> 2(5(0(0(5(1(4(2(5(1(5(x1))))))))))) 5(1(5(2(0(5(5(5(2(2(5(1(x1)))))))))))) -> 2(2(4(0(0(5(3(0(5(1(0(2(x1)))))))))))) 4(5(4(5(1(2(0(2(5(4(4(5(5(x1))))))))))))) -> 1(1(3(4(3(3(0(4(2(5(5(3(x1)))))))))))) 5(5(0(4(0(2(1(1(0(4(5(0(5(x1))))))))))))) -> 1(1(0(3(4(2(1(1(5(0(2(5(x1)))))))))))) 5(0(5(1(0(3(1(3(1(1(3(1(5(1(x1)))))))))))))) -> 5(4(4(1(2(5(5(0(1(0(3(2(2(2(x1)))))))))))))) 5(5(3(0(4(4(0(2(1(5(1(4(2(1(x1)))))))))))))) -> 5(4(1(5(2(4(3(3(5(2(4(5(0(x1))))))))))))) 0(1(4(2(3(2(2(1(0(3(1(5(2(3(1(x1))))))))))))))) -> 1(5(2(4(2(5(2(4(3(4(1(0(4(2(x1)))))))))))))) 0(3(2(0(0(2(2(4(2(4(4(3(3(2(0(x1))))))))))))))) -> 3(2(1(0(4(4(2(1(0(4(3(3(1(0(x1)))))))))))))) 2(4(4(3(0(1(0(1(4(0(3(4(1(0(0(5(x1)))))))))))))))) -> 2(5(3(1(2(2(2(2(5(3(3(2(1(4(5(x1))))))))))))))) 5(0(3(0(1(1(5(1(1(2(0(3(3(0(4(5(1(x1))))))))))))))))) -> 3(4(5(2(0(1(2(0(1(5(4(1(3(1(5(2(x1)))))))))))))))) 0(5(5(2(5(4(5(0(5(2(2(3(1(3(3(4(4(2(x1)))))))))))))))))) -> 5(0(2(4(4(3(2(2(5(1(4(4(1(1(4(3(5(2(x1)))))))))))))))))) 1(2(0(1(0(5(0(2(4(4(5(1(4(1(2(0(4(5(x1)))))))))))))))))) -> 1(2(1(5(2(5(1(4(0(3(5(3(1(4(2(3(5(x1))))))))))))))))) 1(4(4(3(3(0(0(3(5(2(1(4(4(4(3(0(1(5(x1)))))))))))))))))) -> 3(5(3(3(0(2(5(1(5(4(4(3(1(2(3(4(3(5(x1)))))))))))))))))) 3(5(1(4(5(2(4(1(3(2(4(4(0(5(4(1(0(3(x1)))))))))))))))))) -> 3(0(5(5(4(5(1(4(3(0(0(5(5(3(3(1(2(3(x1)))))))))))))))))) 4(5(0(4(0(3(4(5(0(1(3(3(0(2(2(3(5(1(x1)))))))))))))))))) -> 1(5(3(0(1(1(2(3(5(0(0(0(2(0(1(0(1(x1))))))))))))))))) 5(3(5(3(3(1(5(5(2(2(3(3(4(1(5(1(0(5(x1)))))))))))))))))) -> 3(5(0(4(4(3(4(0(5(2(0(0(2(4(1(5(1(5(x1)))))))))))))))))) 5(4(0(1(5(1(2(4(0(4(0(3(2(1(5(3(3(0(x1)))))))))))))))))) -> 4(2(1(0(3(0(1(5(0(1(1(0(5(5(4(2(1(x1))))))))))))))))) 3(5(0(2(4(0(3(0(0(1(0(0(4(3(0(4(2(5(1(0(x1)))))))))))))))))))) -> 1(1(4(1(1(3(2(5(3(4(5(2(4(4(0(2(0(0(0(x1))))))))))))))))))) 4(1(0(2(0(3(5(5(3(2(1(2(4(5(2(2(3(4(3(0(x1)))))))))))))))))))) -> 0(0(5(5(4(1(2(2(1(0(0(4(4(5(0(5(3(5(3(0(x1)))))))))))))))))))) 4(3(0(0(2(1(4(5(1(4(3(5(0(2(2(3(5(1(4(1(4(x1))))))))))))))))))))) -> 4(3(4(1(1(0(4(2(1(5(2(1(1(2(4(1(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_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(2(3(x1)))) -> 3(2(4(x1))) 2(3(3(0(4(x1))))) -> 4(2(1(5(x1)))) 0(3(3(1(1(4(x1)))))) -> 3(2(3(0(1(3(x1)))))) 5(1(3(0(4(0(x1)))))) -> 3(5(3(3(2(x1))))) 0(3(2(1(4(0(1(x1))))))) -> 4(0(5(1(3(0(1(x1))))))) 2(2(0(2(5(2(0(x1))))))) -> 2(2(1(2(5(1(3(x1))))))) 4(5(3(2(4(4(2(2(x1)))))))) -> 4(0(5(0(0(0(2(2(x1)))))))) 1(0(2(5(2(3(0(1(1(x1))))))))) -> 1(5(1(2(0(2(4(4(1(x1))))))))) 4(4(0(3(5(1(2(4(4(x1))))))))) -> 1(5(2(0(3(5(0(0(x1)))))))) 0(4(1(2(0(5(0(2(2(4(x1)))))))))) -> 2(5(4(0(1(2(5(3(4(x1))))))))) 4(5(4(1(2(4(1(0(1(5(x1)))))))))) -> 1(1(0(1(3(1(5(2(5(x1))))))))) 5(1(0(3(2(3(4(5(4(3(x1)))))))))) -> 5(2(0(5(3(4(2(5(3(x1))))))))) 1(3(0(4(3(0(5(3(2(5(3(x1))))))))))) -> 1(3(0(0(0(3(1(3(3(5(3(x1))))))))))) 4(5(0(0(4(4(5(0(5(4(5(x1))))))))))) -> 2(4(2(2(2(4(3(1(4(5(x1)))))))))) 2(3(0(0(5(4(1(3(4(0(1(4(x1)))))))))))) -> 4(0(3(3(4(5(1(1(4(2(4(x1))))))))))) 5(1(4(3(0(5(1(2(5(5(4(0(x1)))))))))))) -> 2(5(0(0(5(1(4(2(5(1(5(x1))))))))))) 5(1(5(2(0(5(5(5(2(2(5(1(x1)))))))))))) -> 2(2(4(0(0(5(3(0(5(1(0(2(x1)))))))))))) 4(5(4(5(1(2(0(2(5(4(4(5(5(x1))))))))))))) -> 1(1(3(4(3(3(0(4(2(5(5(3(x1)))))))))))) 5(5(0(4(0(2(1(1(0(4(5(0(5(x1))))))))))))) -> 1(1(0(3(4(2(1(1(5(0(2(5(x1)))))))))))) 5(0(5(1(0(3(1(3(1(1(3(1(5(1(x1)))))))))))))) -> 5(4(4(1(2(5(5(0(1(0(3(2(2(2(x1)))))))))))))) 5(5(3(0(4(4(0(2(1(5(1(4(2(1(x1)))))))))))))) -> 5(4(1(5(2(4(3(3(5(2(4(5(0(x1))))))))))))) 0(1(4(2(3(2(2(1(0(3(1(5(2(3(1(x1))))))))))))))) -> 1(5(2(4(2(5(2(4(3(4(1(0(4(2(x1)))))))))))))) 0(3(2(0(0(2(2(4(2(4(4(3(3(2(0(x1))))))))))))))) -> 3(2(1(0(4(4(2(1(0(4(3(3(1(0(x1)))))))))))))) 2(4(4(3(0(1(0(1(4(0(3(4(1(0(0(5(x1)))))))))))))))) -> 2(5(3(1(2(2(2(2(5(3(3(2(1(4(5(x1))))))))))))))) 5(0(3(0(1(1(5(1(1(2(0(3(3(0(4(5(1(x1))))))))))))))))) -> 3(4(5(2(0(1(2(0(1(5(4(1(3(1(5(2(x1)))))))))))))))) 0(5(5(2(5(4(5(0(5(2(2(3(1(3(3(4(4(2(x1)))))))))))))))))) -> 5(0(2(4(4(3(2(2(5(1(4(4(1(1(4(3(5(2(x1)))))))))))))))))) 1(2(0(1(0(5(0(2(4(4(5(1(4(1(2(0(4(5(x1)))))))))))))))))) -> 1(2(1(5(2(5(1(4(0(3(5(3(1(4(2(3(5(x1))))))))))))))))) 1(4(4(3(3(0(0(3(5(2(1(4(4(4(3(0(1(5(x1)))))))))))))))))) -> 3(5(3(3(0(2(5(1(5(4(4(3(1(2(3(4(3(5(x1)))))))))))))))))) 3(5(1(4(5(2(4(1(3(2(4(4(0(5(4(1(0(3(x1)))))))))))))))))) -> 3(0(5(5(4(5(1(4(3(0(0(5(5(3(3(1(2(3(x1)))))))))))))))))) 4(5(0(4(0(3(4(5(0(1(3(3(0(2(2(3(5(1(x1)))))))))))))))))) -> 1(5(3(0(1(1(2(3(5(0(0(0(2(0(1(0(1(x1))))))))))))))))) 5(3(5(3(3(1(5(5(2(2(3(3(4(1(5(1(0(5(x1)))))))))))))))))) -> 3(5(0(4(4(3(4(0(5(2(0(0(2(4(1(5(1(5(x1)))))))))))))))))) 5(4(0(1(5(1(2(4(0(4(0(3(2(1(5(3(3(0(x1)))))))))))))))))) -> 4(2(1(0(3(0(1(5(0(1(1(0(5(5(4(2(1(x1))))))))))))))))) 3(5(0(2(4(0(3(0(0(1(0(0(4(3(0(4(2(5(1(0(x1)))))))))))))))))))) -> 1(1(4(1(1(3(2(5(3(4(5(2(4(4(0(2(0(0(0(x1))))))))))))))))))) 4(1(0(2(0(3(5(5(3(2(1(2(4(5(2(2(3(4(3(0(x1)))))))))))))))))))) -> 0(0(5(5(4(1(2(2(1(0(0(4(4(5(0(5(3(5(3(0(x1)))))))))))))))))))) 4(3(0(0(2(1(4(5(1(4(3(5(0(2(2(3(5(1(4(1(4(x1))))))))))))))))))))) -> 4(3(4(1(1(0(4(2(1(5(2(1(1(2(4(1(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_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(2(3(x1)))) -> 3(2(4(x1))) 2(3(3(0(4(x1))))) -> 4(2(1(5(x1)))) 0(3(3(1(1(4(x1)))))) -> 3(2(3(0(1(3(x1)))))) 5(1(3(0(4(0(x1)))))) -> 3(5(3(3(2(x1))))) 0(3(2(1(4(0(1(x1))))))) -> 4(0(5(1(3(0(1(x1))))))) 2(2(0(2(5(2(0(x1))))))) -> 2(2(1(2(5(1(3(x1))))))) 4(5(3(2(4(4(2(2(x1)))))))) -> 4(0(5(0(0(0(2(2(x1)))))))) 1(0(2(5(2(3(0(1(1(x1))))))))) -> 1(5(1(2(0(2(4(4(1(x1))))))))) 4(4(0(3(5(1(2(4(4(x1))))))))) -> 1(5(2(0(3(5(0(0(x1)))))))) 0(4(1(2(0(5(0(2(2(4(x1)))))))))) -> 2(5(4(0(1(2(5(3(4(x1))))))))) 4(5(4(1(2(4(1(0(1(5(x1)))))))))) -> 1(1(0(1(3(1(5(2(5(x1))))))))) 5(1(0(3(2(3(4(5(4(3(x1)))))))))) -> 5(2(0(5(3(4(2(5(3(x1))))))))) 1(3(0(4(3(0(5(3(2(5(3(x1))))))))))) -> 1(3(0(0(0(3(1(3(3(5(3(x1))))))))))) 4(5(0(0(4(4(5(0(5(4(5(x1))))))))))) -> 2(4(2(2(2(4(3(1(4(5(x1)))))))))) 2(3(0(0(5(4(1(3(4(0(1(4(x1)))))))))))) -> 4(0(3(3(4(5(1(1(4(2(4(x1))))))))))) 5(1(4(3(0(5(1(2(5(5(4(0(x1)))))))))))) -> 2(5(0(0(5(1(4(2(5(1(5(x1))))))))))) 5(1(5(2(0(5(5(5(2(2(5(1(x1)))))))))))) -> 2(2(4(0(0(5(3(0(5(1(0(2(x1)))))))))))) 4(5(4(5(1(2(0(2(5(4(4(5(5(x1))))))))))))) -> 1(1(3(4(3(3(0(4(2(5(5(3(x1)))))))))))) 5(5(0(4(0(2(1(1(0(4(5(0(5(x1))))))))))))) -> 1(1(0(3(4(2(1(1(5(0(2(5(x1)))))))))))) 5(0(5(1(0(3(1(3(1(1(3(1(5(1(x1)))))))))))))) -> 5(4(4(1(2(5(5(0(1(0(3(2(2(2(x1)))))))))))))) 5(5(3(0(4(4(0(2(1(5(1(4(2(1(x1)))))))))))))) -> 5(4(1(5(2(4(3(3(5(2(4(5(0(x1))))))))))))) 0(1(4(2(3(2(2(1(0(3(1(5(2(3(1(x1))))))))))))))) -> 1(5(2(4(2(5(2(4(3(4(1(0(4(2(x1)))))))))))))) 0(3(2(0(0(2(2(4(2(4(4(3(3(2(0(x1))))))))))))))) -> 3(2(1(0(4(4(2(1(0(4(3(3(1(0(x1)))))))))))))) 2(4(4(3(0(1(0(1(4(0(3(4(1(0(0(5(x1)))))))))))))))) -> 2(5(3(1(2(2(2(2(5(3(3(2(1(4(5(x1))))))))))))))) 5(0(3(0(1(1(5(1(1(2(0(3(3(0(4(5(1(x1))))))))))))))))) -> 3(4(5(2(0(1(2(0(1(5(4(1(3(1(5(2(x1)))))))))))))))) 0(5(5(2(5(4(5(0(5(2(2(3(1(3(3(4(4(2(x1)))))))))))))))))) -> 5(0(2(4(4(3(2(2(5(1(4(4(1(1(4(3(5(2(x1)))))))))))))))))) 1(2(0(1(0(5(0(2(4(4(5(1(4(1(2(0(4(5(x1)))))))))))))))))) -> 1(2(1(5(2(5(1(4(0(3(5(3(1(4(2(3(5(x1))))))))))))))))) 1(4(4(3(3(0(0(3(5(2(1(4(4(4(3(0(1(5(x1)))))))))))))))))) -> 3(5(3(3(0(2(5(1(5(4(4(3(1(2(3(4(3(5(x1)))))))))))))))))) 3(5(1(4(5(2(4(1(3(2(4(4(0(5(4(1(0(3(x1)))))))))))))))))) -> 3(0(5(5(4(5(1(4(3(0(0(5(5(3(3(1(2(3(x1)))))))))))))))))) 4(5(0(4(0(3(4(5(0(1(3(3(0(2(2(3(5(1(x1)))))))))))))))))) -> 1(5(3(0(1(1(2(3(5(0(0(0(2(0(1(0(1(x1))))))))))))))))) 5(3(5(3(3(1(5(5(2(2(3(3(4(1(5(1(0(5(x1)))))))))))))))))) -> 3(5(0(4(4(3(4(0(5(2(0(0(2(4(1(5(1(5(x1)))))))))))))))))) 5(4(0(1(5(1(2(4(0(4(0(3(2(1(5(3(3(0(x1)))))))))))))))))) -> 4(2(1(0(3(0(1(5(0(1(1(0(5(5(4(2(1(x1))))))))))))))))) 3(5(0(2(4(0(3(0(0(1(0(0(4(3(0(4(2(5(1(0(x1)))))))))))))))))))) -> 1(1(4(1(1(3(2(5(3(4(5(2(4(4(0(2(0(0(0(x1))))))))))))))))))) 4(1(0(2(0(3(5(5(3(2(1(2(4(5(2(2(3(4(3(0(x1)))))))))))))))))))) -> 0(0(5(5(4(1(2(2(1(0(0(4(4(5(0(5(3(5(3(0(x1)))))))))))))))))))) 4(3(0(0(2(1(4(5(1(4(3(5(0(2(2(3(5(1(4(1(4(x1))))))))))))))))))))) -> 4(3(4(1(1(0(4(2(1(5(2(1(1(2(4(1(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_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(2(3(x1)))) -> 3(2(4(x1))) 2(3(3(0(4(x1))))) -> 4(2(1(5(x1)))) 0(3(3(1(1(4(x1)))))) -> 3(2(3(0(1(3(x1)))))) 5(1(3(0(4(0(x1)))))) -> 3(5(3(3(2(x1))))) 0(3(2(1(4(0(1(x1))))))) -> 4(0(5(1(3(0(1(x1))))))) 2(2(0(2(5(2(0(x1))))))) -> 2(2(1(2(5(1(3(x1))))))) 4(5(3(2(4(4(2(2(x1)))))))) -> 4(0(5(0(0(0(2(2(x1)))))))) 1(0(2(5(2(3(0(1(1(x1))))))))) -> 1(5(1(2(0(2(4(4(1(x1))))))))) 4(4(0(3(5(1(2(4(4(x1))))))))) -> 1(5(2(0(3(5(0(0(x1)))))))) 0(4(1(2(0(5(0(2(2(4(x1)))))))))) -> 2(5(4(0(1(2(5(3(4(x1))))))))) 4(5(4(1(2(4(1(0(1(5(x1)))))))))) -> 1(1(0(1(3(1(5(2(5(x1))))))))) 5(1(0(3(2(3(4(5(4(3(x1)))))))))) -> 5(2(0(5(3(4(2(5(3(x1))))))))) 1(3(0(4(3(0(5(3(2(5(3(x1))))))))))) -> 1(3(0(0(0(3(1(3(3(5(3(x1))))))))))) 4(5(0(0(4(4(5(0(5(4(5(x1))))))))))) -> 2(4(2(2(2(4(3(1(4(5(x1)))))))))) 2(3(0(0(5(4(1(3(4(0(1(4(x1)))))))))))) -> 4(0(3(3(4(5(1(1(4(2(4(x1))))))))))) 5(1(4(3(0(5(1(2(5(5(4(0(x1)))))))))))) -> 2(5(0(0(5(1(4(2(5(1(5(x1))))))))))) 5(1(5(2(0(5(5(5(2(2(5(1(x1)))))))))))) -> 2(2(4(0(0(5(3(0(5(1(0(2(x1)))))))))))) 4(5(4(5(1(2(0(2(5(4(4(5(5(x1))))))))))))) -> 1(1(3(4(3(3(0(4(2(5(5(3(x1)))))))))))) 5(5(0(4(0(2(1(1(0(4(5(0(5(x1))))))))))))) -> 1(1(0(3(4(2(1(1(5(0(2(5(x1)))))))))))) 5(0(5(1(0(3(1(3(1(1(3(1(5(1(x1)))))))))))))) -> 5(4(4(1(2(5(5(0(1(0(3(2(2(2(x1)))))))))))))) 5(5(3(0(4(4(0(2(1(5(1(4(2(1(x1)))))))))))))) -> 5(4(1(5(2(4(3(3(5(2(4(5(0(x1))))))))))))) 0(1(4(2(3(2(2(1(0(3(1(5(2(3(1(x1))))))))))))))) -> 1(5(2(4(2(5(2(4(3(4(1(0(4(2(x1)))))))))))))) 0(3(2(0(0(2(2(4(2(4(4(3(3(2(0(x1))))))))))))))) -> 3(2(1(0(4(4(2(1(0(4(3(3(1(0(x1)))))))))))))) 2(4(4(3(0(1(0(1(4(0(3(4(1(0(0(5(x1)))))))))))))))) -> 2(5(3(1(2(2(2(2(5(3(3(2(1(4(5(x1))))))))))))))) 5(0(3(0(1(1(5(1(1(2(0(3(3(0(4(5(1(x1))))))))))))))))) -> 3(4(5(2(0(1(2(0(1(5(4(1(3(1(5(2(x1)))))))))))))))) 0(5(5(2(5(4(5(0(5(2(2(3(1(3(3(4(4(2(x1)))))))))))))))))) -> 5(0(2(4(4(3(2(2(5(1(4(4(1(1(4(3(5(2(x1)))))))))))))))))) 1(2(0(1(0(5(0(2(4(4(5(1(4(1(2(0(4(5(x1)))))))))))))))))) -> 1(2(1(5(2(5(1(4(0(3(5(3(1(4(2(3(5(x1))))))))))))))))) 1(4(4(3(3(0(0(3(5(2(1(4(4(4(3(0(1(5(x1)))))))))))))))))) -> 3(5(3(3(0(2(5(1(5(4(4(3(1(2(3(4(3(5(x1)))))))))))))))))) 3(5(1(4(5(2(4(1(3(2(4(4(0(5(4(1(0(3(x1)))))))))))))))))) -> 3(0(5(5(4(5(1(4(3(0(0(5(5(3(3(1(2(3(x1)))))))))))))))))) 4(5(0(4(0(3(4(5(0(1(3(3(0(2(2(3(5(1(x1)))))))))))))))))) -> 1(5(3(0(1(1(2(3(5(0(0(0(2(0(1(0(1(x1))))))))))))))))) 5(3(5(3(3(1(5(5(2(2(3(3(4(1(5(1(0(5(x1)))))))))))))))))) -> 3(5(0(4(4(3(4(0(5(2(0(0(2(4(1(5(1(5(x1)))))))))))))))))) 5(4(0(1(5(1(2(4(0(4(0(3(2(1(5(3(3(0(x1)))))))))))))))))) -> 4(2(1(0(3(0(1(5(0(1(1(0(5(5(4(2(1(x1))))))))))))))))) 3(5(0(2(4(0(3(0(0(1(0(0(4(3(0(4(2(5(1(0(x1)))))))))))))))))))) -> 1(1(4(1(1(3(2(5(3(4(5(2(4(4(0(2(0(0(0(x1))))))))))))))))))) 4(1(0(2(0(3(5(5(3(2(1(2(4(5(2(2(3(4(3(0(x1)))))))))))))))))))) -> 0(0(5(5(4(1(2(2(1(0(0(4(4(5(0(5(3(5(3(0(x1)))))))))))))))))))) 4(3(0(0(2(1(4(5(1(4(3(5(0(2(2(3(5(1(4(1(4(x1))))))))))))))))))))) -> 4(3(4(1(1(0(4(2(1(5(2(1(1(2(4(1(2(3(1(3(x1)))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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. "[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] {(150,151,[0_1|0, 2_1|0, 5_1|0, 4_1|0, 1_1|0, 3_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]), (150,152,[0_1|1, 2_1|1, 5_1|1, 4_1|1, 1_1|1, 3_1|1]), (150,153,[3_1|2]), (150,155,[1_1|2]), (150,168,[3_1|2]), (150,173,[4_1|2]), (150,179,[3_1|2]), (150,192,[2_1|2]), (150,200,[5_1|2]), (150,217,[4_1|2]), (150,220,[4_1|2]), (150,230,[2_1|2]), (150,236,[2_1|2]), (150,250,[3_1|2]), (150,254,[5_1|2]), (150,262,[2_1|2]), (150,272,[2_1|2]), (150,283,[1_1|2]), (150,294,[5_1|2]), (150,306,[5_1|2]), (150,319,[3_1|2]), (150,334,[3_1|2]), (150,351,[4_1|2]), (150,367,[4_1|2]), (150,374,[1_1|2]), (150,382,[1_1|2]), (150,393,[2_1|2]), (150,402,[1_1|2]), (150,418,[1_1|2]), (150,425,[0_1|2]), (150,444,[4_1|2]), (150,463,[1_1|2]), (150,471,[1_1|2]), (150,481,[1_1|2]), (150,497,[3_1|2]), (150,514,[3_1|2]), (150,531,[1_1|2]), (151,151,[cons_0_1|0, cons_2_1|0, cons_5_1|0, cons_4_1|0, cons_1_1|0, cons_3_1|0]), (152,151,[encArg_1|1]), (152,152,[0_1|1, 2_1|1, 5_1|1, 4_1|1, 1_1|1, 3_1|1]), (152,153,[3_1|2]), (152,155,[1_1|2]), (152,168,[3_1|2]), (152,173,[4_1|2]), (152,179,[3_1|2]), (152,192,[2_1|2]), (152,200,[5_1|2]), (152,217,[4_1|2]), (152,220,[4_1|2]), (152,230,[2_1|2]), (152,236,[2_1|2]), (152,250,[3_1|2]), (152,254,[5_1|2]), (152,262,[2_1|2]), (152,272,[2_1|2]), (152,283,[1_1|2]), (152,294,[5_1|2]), (152,306,[5_1|2]), (152,319,[3_1|2]), (152,334,[3_1|2]), (152,351,[4_1|2]), (152,367,[4_1|2]), (152,374,[1_1|2]), (152,382,[1_1|2]), (152,393,[2_1|2]), (152,402,[1_1|2]), (152,418,[1_1|2]), (152,425,[0_1|2]), (152,444,[4_1|2]), (152,463,[1_1|2]), (152,471,[1_1|2]), (152,481,[1_1|2]), (152,497,[3_1|2]), (152,514,[3_1|2]), (152,531,[1_1|2]), (153,154,[2_1|2]), (153,236,[2_1|2]), (154,152,[4_1|2]), (154,153,[4_1|2]), (154,168,[4_1|2]), (154,179,[4_1|2]), (154,250,[4_1|2]), (154,319,[4_1|2]), (154,334,[4_1|2]), (154,497,[4_1|2]), (154,514,[4_1|2]), (154,367,[4_1|2]), (154,374,[1_1|2]), (154,382,[1_1|2]), (154,393,[2_1|2]), (154,402,[1_1|2]), (154,418,[1_1|2]), (154,425,[0_1|2]), (154,444,[4_1|2]), (155,156,[5_1|2]), (156,157,[2_1|2]), (157,158,[4_1|2]), (158,159,[2_1|2]), (159,160,[5_1|2]), (160,161,[2_1|2]), (161,162,[4_1|2]), (162,163,[3_1|2]), (163,164,[4_1|2]), (164,165,[1_1|2]), (165,166,[0_1|2]), (166,167,[4_1|2]), (167,152,[2_1|2]), (167,155,[2_1|2]), (167,283,[2_1|2]), (167,374,[2_1|2]), (167,382,[2_1|2]), (167,402,[2_1|2]), (167,418,[2_1|2]), (167,463,[2_1|2]), (167,471,[2_1|2]), (167,481,[2_1|2]), (167,531,[2_1|2]), (167,217,[4_1|2]), (167,220,[4_1|2]), (167,230,[2_1|2]), (167,236,[2_1|2]), (168,169,[2_1|2]), (169,170,[3_1|2]), (170,171,[0_1|2]), (171,172,[1_1|2]), (171,471,[1_1|2]), (172,152,[3_1|2]), (172,173,[3_1|2]), (172,217,[3_1|2]), (172,220,[3_1|2]), (172,351,[3_1|2]), (172,367,[3_1|2]), (172,444,[3_1|2]), (172,533,[3_1|2]), (172,514,[3_1|2]), (172,531,[1_1|2]), (173,174,[0_1|2]), (174,175,[5_1|2]), (175,176,[1_1|2]), (176,177,[3_1|2]), (177,178,[0_1|2]), (177,153,[3_1|2]), (177,155,[1_1|2]), (178,152,[1_1|2]), (178,155,[1_1|2]), (178,283,[1_1|2]), (178,374,[1_1|2]), (178,382,[1_1|2]), (178,402,[1_1|2]), (178,418,[1_1|2]), (178,463,[1_1|2]), (178,471,[1_1|2]), (178,481,[1_1|2]), (178,531,[1_1|2]), (178,497,[3_1|2]), (179,180,[2_1|2]), (180,181,[1_1|2]), (181,182,[0_1|2]), (182,183,[4_1|2]), (183,184,[4_1|2]), (184,185,[2_1|2]), (185,186,[1_1|2]), (186,187,[0_1|2]), (187,188,[4_1|2]), (188,189,[3_1|2]), (189,190,[3_1|2]), (190,191,[1_1|2]), (190,463,[1_1|2]), (191,152,[0_1|2]), (191,425,[0_1|2]), (191,153,[3_1|2]), (191,155,[1_1|2]), (191,168,[3_1|2]), (191,173,[4_1|2]), (191,179,[3_1|2]), (191,192,[2_1|2]), (191,200,[5_1|2]), (192,193,[5_1|2]), (193,194,[4_1|2]), (194,195,[0_1|2]), (195,196,[1_1|2]), (196,197,[2_1|2]), (197,198,[5_1|2]), (198,199,[3_1|2]), (199,152,[4_1|2]), (199,173,[4_1|2]), (199,217,[4_1|2]), (199,220,[4_1|2]), (199,351,[4_1|2]), (199,367,[4_1|2]), (199,444,[4_1|2]), (199,394,[4_1|2]), (199,274,[4_1|2]), (199,374,[1_1|2]), (199,382,[1_1|2]), (199,393,[2_1|2]), (199,402,[1_1|2]), (199,418,[1_1|2]), (199,425,[0_1|2]), (200,201,[0_1|2]), (201,202,[2_1|2]), (202,203,[4_1|2]), (203,204,[4_1|2]), (204,205,[3_1|2]), (205,206,[2_1|2]), (206,207,[2_1|2]), (207,208,[5_1|2]), (208,209,[1_1|2]), (209,210,[4_1|2]), (210,211,[4_1|2]), (211,212,[1_1|2]), (212,213,[1_1|2]), (213,214,[4_1|2]), (214,215,[3_1|2]), (215,216,[5_1|2]), (216,152,[2_1|2]), (216,192,[2_1|2]), (216,230,[2_1|2]), (216,236,[2_1|2]), (216,262,[2_1|2]), (216,272,[2_1|2]), (216,393,[2_1|2]), (216,218,[2_1|2]), (216,352,[2_1|2]), (216,217,[4_1|2]), (216,220,[4_1|2]), (217,218,[2_1|2]), (218,219,[1_1|2]), (219,152,[5_1|2]), (219,173,[5_1|2]), (219,217,[5_1|2]), (219,220,[5_1|2]), (219,351,[5_1|2, 4_1|2]), (219,367,[5_1|2]), (219,444,[5_1|2]), (219,250,[3_1|2]), (219,254,[5_1|2]), (219,262,[2_1|2]), (219,272,[2_1|2]), (219,283,[1_1|2]), (219,294,[5_1|2]), (219,306,[5_1|2]), (219,319,[3_1|2]), (219,334,[3_1|2]), (220,221,[0_1|2]), (221,222,[3_1|2]), (222,223,[3_1|2]), (223,224,[4_1|2]), (224,225,[5_1|2]), (225,226,[1_1|2]), (226,227,[1_1|2]), (227,228,[4_1|2]), (228,229,[2_1|2]), (228,236,[2_1|2]), (229,152,[4_1|2]), (229,173,[4_1|2]), (229,217,[4_1|2]), (229,220,[4_1|2]), (229,351,[4_1|2]), (229,367,[4_1|2]), (229,444,[4_1|2]), (229,374,[1_1|2]), (229,382,[1_1|2]), (229,393,[2_1|2]), (229,402,[1_1|2]), (229,418,[1_1|2]), (229,425,[0_1|2]), (230,231,[2_1|2]), (231,232,[1_1|2]), (232,233,[2_1|2]), (233,234,[5_1|2]), (233,250,[3_1|2]), (234,235,[1_1|2]), (234,471,[1_1|2]), (235,152,[3_1|2]), (235,425,[3_1|2]), (235,256,[3_1|2]), (235,514,[3_1|2]), (235,531,[1_1|2]), (236,237,[5_1|2]), (237,238,[3_1|2]), (238,239,[1_1|2]), (239,240,[2_1|2]), (240,241,[2_1|2]), (241,242,[2_1|2]), (242,243,[2_1|2]), (243,244,[5_1|2]), (244,245,[3_1|2]), (245,246,[3_1|2]), (246,247,[2_1|2]), (247,248,[1_1|2]), (248,249,[4_1|2]), (248,367,[4_1|2]), (248,374,[1_1|2]), (248,382,[1_1|2]), (248,393,[2_1|2]), (248,402,[1_1|2]), (249,152,[5_1|2]), (249,200,[5_1|2]), (249,254,[5_1|2]), (249,294,[5_1|2]), (249,306,[5_1|2]), (249,427,[5_1|2]), (249,250,[3_1|2]), (249,262,[2_1|2]), (249,272,[2_1|2]), (249,283,[1_1|2]), (249,319,[3_1|2]), (249,334,[3_1|2]), (249,351,[4_1|2]), (250,251,[5_1|2]), (251,252,[3_1|2]), (252,253,[3_1|2]), (253,152,[2_1|2]), (253,425,[2_1|2]), (253,174,[2_1|2]), (253,221,[2_1|2]), (253,368,[2_1|2]), (253,217,[4_1|2]), (253,220,[4_1|2]), (253,230,[2_1|2]), (253,236,[2_1|2]), (254,255,[2_1|2]), (255,256,[0_1|2]), (256,257,[5_1|2]), (257,258,[3_1|2]), (258,259,[4_1|2]), (259,260,[2_1|2]), (260,261,[5_1|2]), (260,334,[3_1|2]), (261,152,[3_1|2]), (261,153,[3_1|2]), (261,168,[3_1|2]), (261,179,[3_1|2]), (261,250,[3_1|2]), (261,319,[3_1|2]), (261,334,[3_1|2]), (261,497,[3_1|2]), (261,514,[3_1|2]), (261,445,[3_1|2]), (261,531,[1_1|2]), (262,263,[5_1|2]), (263,264,[0_1|2]), (264,265,[0_1|2]), (265,266,[5_1|2]), (266,267,[1_1|2]), (267,268,[4_1|2]), (268,269,[2_1|2]), (269,270,[5_1|2]), (269,272,[2_1|2]), (270,271,[1_1|2]), (271,152,[5_1|2]), (271,425,[5_1|2]), (271,174,[5_1|2]), (271,221,[5_1|2]), (271,368,[5_1|2]), (271,250,[3_1|2]), (271,254,[5_1|2]), (271,262,[2_1|2]), (271,272,[2_1|2]), (271,283,[1_1|2]), (271,294,[5_1|2]), (271,306,[5_1|2]), (271,319,[3_1|2]), (271,334,[3_1|2]), (271,351,[4_1|2]), (272,273,[2_1|2]), (273,274,[4_1|2]), (274,275,[0_1|2]), (275,276,[0_1|2]), (276,277,[5_1|2]), (277,278,[3_1|2]), (278,279,[0_1|2]), (279,280,[5_1|2]), (280,281,[1_1|2]), (280,463,[1_1|2]), (281,282,[0_1|2]), (282,152,[2_1|2]), (282,155,[2_1|2]), (282,283,[2_1|2]), (282,374,[2_1|2]), (282,382,[2_1|2]), (282,402,[2_1|2]), (282,418,[2_1|2]), (282,463,[2_1|2]), (282,471,[2_1|2]), (282,481,[2_1|2]), (282,531,[2_1|2]), (282,217,[4_1|2]), (282,220,[4_1|2]), (282,230,[2_1|2]), (282,236,[2_1|2]), (283,284,[1_1|2]), (284,285,[0_1|2]), (285,286,[3_1|2]), (286,287,[4_1|2]), (287,288,[2_1|2]), (288,289,[1_1|2]), (289,290,[1_1|2]), (290,291,[5_1|2]), (291,292,[0_1|2]), (292,293,[2_1|2]), (293,152,[5_1|2]), (293,200,[5_1|2]), (293,254,[5_1|2]), (293,294,[5_1|2]), (293,306,[5_1|2]), (293,250,[3_1|2]), (293,262,[2_1|2]), (293,272,[2_1|2]), (293,283,[1_1|2]), (293,319,[3_1|2]), (293,334,[3_1|2]), (293,351,[4_1|2]), (294,295,[4_1|2]), (295,296,[1_1|2]), (296,297,[5_1|2]), (297,298,[2_1|2]), (298,299,[4_1|2]), (299,300,[3_1|2]), (300,301,[3_1|2]), (301,302,[5_1|2]), (302,303,[2_1|2]), (303,304,[4_1|2]), (303,393,[2_1|2]), (303,402,[1_1|2]), (303,367,[4_1|2]), (304,305,[5_1|2]), (304,306,[5_1|2]), (304,319,[3_1|2]), (305,152,[0_1|2]), (305,155,[0_1|2, 1_1|2]), (305,283,[0_1|2]), (305,374,[0_1|2]), (305,382,[0_1|2]), (305,402,[0_1|2]), (305,418,[0_1|2]), (305,463,[0_1|2]), (305,471,[0_1|2]), (305,481,[0_1|2]), (305,531,[0_1|2]), (305,219,[0_1|2]), (305,353,[0_1|2]), (305,153,[3_1|2]), (305,168,[3_1|2]), (305,173,[4_1|2]), (305,179,[3_1|2]), (305,192,[2_1|2]), (305,200,[5_1|2]), (306,307,[4_1|2]), (307,308,[4_1|2]), (308,309,[1_1|2]), (309,310,[2_1|2]), (310,311,[5_1|2]), (311,312,[5_1|2]), (312,313,[0_1|2]), (313,314,[1_1|2]), (314,315,[0_1|2]), (315,316,[3_1|2]), (316,317,[2_1|2]), (317,318,[2_1|2]), (317,230,[2_1|2]), (318,152,[2_1|2]), (318,155,[2_1|2]), (318,283,[2_1|2]), (318,374,[2_1|2]), (318,382,[2_1|2]), (318,402,[2_1|2]), (318,418,[2_1|2]), (318,463,[2_1|2]), (318,471,[2_1|2]), (318,481,[2_1|2]), (318,531,[2_1|2]), (318,465,[2_1|2]), (318,217,[4_1|2]), (318,220,[4_1|2]), (318,230,[2_1|2]), (318,236,[2_1|2]), (319,320,[4_1|2]), (320,321,[5_1|2]), (321,322,[2_1|2]), (322,323,[0_1|2]), (323,324,[1_1|2]), (324,325,[2_1|2]), (325,326,[0_1|2]), (326,327,[1_1|2]), (327,328,[5_1|2]), (328,329,[4_1|2]), (329,330,[1_1|2]), (330,331,[3_1|2]), (331,332,[1_1|2]), (332,333,[5_1|2]), (333,152,[2_1|2]), (333,155,[2_1|2]), (333,283,[2_1|2]), (333,374,[2_1|2]), (333,382,[2_1|2]), (333,402,[2_1|2]), (333,418,[2_1|2]), (333,463,[2_1|2]), (333,471,[2_1|2]), (333,481,[2_1|2]), (333,531,[2_1|2]), (333,217,[4_1|2]), (333,220,[4_1|2]), (333,230,[2_1|2]), (333,236,[2_1|2]), (334,335,[5_1|2]), (335,336,[0_1|2]), (336,337,[4_1|2]), (337,338,[4_1|2]), (338,339,[3_1|2]), (339,340,[4_1|2]), (340,341,[0_1|2]), (341,342,[5_1|2]), (342,343,[2_1|2]), (343,344,[0_1|2]), (344,345,[0_1|2]), (345,346,[2_1|2]), (346,347,[4_1|2]), (347,348,[1_1|2]), (348,349,[5_1|2]), (348,272,[2_1|2]), (349,350,[1_1|2]), (350,152,[5_1|2]), (350,200,[5_1|2]), (350,254,[5_1|2]), (350,294,[5_1|2]), (350,306,[5_1|2]), (350,250,[3_1|2]), (350,262,[2_1|2]), (350,272,[2_1|2]), (350,283,[1_1|2]), (350,319,[3_1|2]), (350,334,[3_1|2]), (350,351,[4_1|2]), (351,352,[2_1|2]), (352,353,[1_1|2]), (353,354,[0_1|2]), (354,355,[3_1|2]), (355,356,[0_1|2]), (356,357,[1_1|2]), (357,358,[5_1|2]), (358,359,[0_1|2]), (359,360,[1_1|2]), (360,361,[1_1|2]), (361,362,[0_1|2]), (362,363,[5_1|2]), (363,364,[5_1|2]), (364,365,[4_1|2]), (365,366,[2_1|2]), (366,152,[1_1|2]), (366,425,[1_1|2]), (366,515,[1_1|2]), (366,463,[1_1|2]), (366,471,[1_1|2]), (366,481,[1_1|2]), (366,497,[3_1|2]), (367,368,[0_1|2]), (368,369,[5_1|2]), (369,370,[0_1|2]), (370,371,[0_1|2]), (371,372,[0_1|2]), (372,373,[2_1|2]), (372,230,[2_1|2]), (373,152,[2_1|2]), (373,192,[2_1|2]), (373,230,[2_1|2]), (373,236,[2_1|2]), (373,262,[2_1|2]), (373,272,[2_1|2]), (373,393,[2_1|2]), (373,231,[2_1|2]), (373,273,[2_1|2]), (373,217,[4_1|2]), (373,220,[4_1|2]), (374,375,[1_1|2]), (375,376,[0_1|2]), (376,377,[1_1|2]), (377,378,[3_1|2]), (378,379,[1_1|2]), (379,380,[5_1|2]), (380,381,[2_1|2]), (381,152,[5_1|2]), (381,200,[5_1|2]), (381,254,[5_1|2]), (381,294,[5_1|2]), (381,306,[5_1|2]), (381,156,[5_1|2]), (381,403,[5_1|2]), (381,419,[5_1|2]), (381,464,[5_1|2]), (381,250,[3_1|2]), (381,262,[2_1|2]), (381,272,[2_1|2]), (381,283,[1_1|2]), (381,319,[3_1|2]), (381,334,[3_1|2]), (381,351,[4_1|2]), (382,383,[1_1|2]), (383,384,[3_1|2]), (384,385,[4_1|2]), (385,386,[3_1|2]), (386,387,[3_1|2]), (387,388,[0_1|2]), (388,389,[4_1|2]), (389,390,[2_1|2]), (390,391,[5_1|2]), (390,294,[5_1|2]), (391,392,[5_1|2]), (391,334,[3_1|2]), (392,152,[3_1|2]), (392,200,[3_1|2]), (392,254,[3_1|2]), (392,294,[3_1|2]), (392,306,[3_1|2]), (392,514,[3_1|2]), (392,531,[1_1|2]), (393,394,[4_1|2]), (394,395,[2_1|2]), (395,396,[2_1|2]), (396,397,[2_1|2]), (397,398,[4_1|2]), (398,399,[3_1|2]), (399,400,[1_1|2]), (400,401,[4_1|2]), (400,367,[4_1|2]), (400,374,[1_1|2]), (400,382,[1_1|2]), (400,393,[2_1|2]), (400,402,[1_1|2]), (401,152,[5_1|2]), (401,200,[5_1|2]), (401,254,[5_1|2]), (401,294,[5_1|2]), (401,306,[5_1|2]), (401,250,[3_1|2]), (401,262,[2_1|2]), (401,272,[2_1|2]), (401,283,[1_1|2]), (401,319,[3_1|2]), (401,334,[3_1|2]), (401,351,[4_1|2]), (402,403,[5_1|2]), (403,404,[3_1|2]), (404,405,[0_1|2]), (405,406,[1_1|2]), (406,407,[1_1|2]), (407,408,[2_1|2]), (408,409,[3_1|2]), (409,410,[5_1|2]), (410,411,[0_1|2]), (411,412,[0_1|2]), (412,413,[0_1|2]), (413,414,[2_1|2]), (414,415,[0_1|2]), (415,416,[1_1|2]), (416,417,[0_1|2]), (416,153,[3_1|2]), (416,155,[1_1|2]), (417,152,[1_1|2]), (417,155,[1_1|2]), (417,283,[1_1|2]), (417,374,[1_1|2]), (417,382,[1_1|2]), (417,402,[1_1|2]), (417,418,[1_1|2]), (417,463,[1_1|2]), (417,471,[1_1|2]), (417,481,[1_1|2]), (417,531,[1_1|2]), (417,497,[3_1|2]), (418,419,[5_1|2]), (419,420,[2_1|2]), (420,421,[0_1|2]), (421,422,[3_1|2]), (422,423,[5_1|2]), (423,424,[0_1|2]), (424,152,[0_1|2]), (424,173,[0_1|2, 4_1|2]), (424,217,[0_1|2]), (424,220,[0_1|2]), (424,351,[0_1|2]), (424,367,[0_1|2]), (424,444,[0_1|2]), (424,153,[3_1|2]), (424,155,[1_1|2]), (424,168,[3_1|2]), (424,179,[3_1|2]), (424,192,[2_1|2]), (424,200,[5_1|2]), (425,426,[0_1|2]), (426,427,[5_1|2]), (427,428,[5_1|2]), (428,429,[4_1|2]), (429,430,[1_1|2]), (430,431,[2_1|2]), (431,432,[2_1|2]), (432,433,[1_1|2]), (433,434,[0_1|2]), (434,435,[0_1|2]), (435,436,[4_1|2]), (436,437,[4_1|2]), (437,438,[5_1|2]), (438,439,[0_1|2]), (439,440,[5_1|2]), (440,441,[3_1|2]), (441,442,[5_1|2]), (442,443,[3_1|2]), (443,152,[0_1|2]), (443,425,[0_1|2]), (443,515,[0_1|2]), (443,153,[3_1|2]), (443,155,[1_1|2]), (443,168,[3_1|2]), (443,173,[4_1|2]), (443,179,[3_1|2]), (443,192,[2_1|2]), (443,200,[5_1|2]), (444,445,[3_1|2]), (445,446,[4_1|2]), (446,447,[1_1|2]), (447,448,[1_1|2]), (448,449,[0_1|2]), (449,450,[4_1|2]), (450,451,[2_1|2]), (451,452,[1_1|2]), (452,453,[5_1|2]), (453,454,[2_1|2]), (454,455,[1_1|2]), (455,456,[1_1|2]), (456,457,[2_1|2]), (457,458,[4_1|2]), (458,459,[1_1|2]), (459,460,[2_1|2]), (460,461,[3_1|2]), (461,462,[1_1|2]), (461,471,[1_1|2]), (462,152,[3_1|2]), (462,173,[3_1|2]), (462,217,[3_1|2]), (462,220,[3_1|2]), (462,351,[3_1|2]), (462,367,[3_1|2]), (462,444,[3_1|2]), (462,514,[3_1|2]), (462,531,[1_1|2]), (463,464,[5_1|2]), (464,465,[1_1|2]), (465,466,[2_1|2]), (466,467,[0_1|2]), (467,468,[2_1|2]), (468,469,[4_1|2]), (469,470,[4_1|2]), (469,425,[0_1|2]), (470,152,[1_1|2]), (470,155,[1_1|2]), (470,283,[1_1|2]), (470,374,[1_1|2]), (470,382,[1_1|2]), (470,402,[1_1|2]), (470,418,[1_1|2]), (470,463,[1_1|2]), (470,471,[1_1|2]), (470,481,[1_1|2]), (470,531,[1_1|2]), (470,284,[1_1|2]), (470,375,[1_1|2]), (470,383,[1_1|2]), (470,532,[1_1|2]), (470,497,[3_1|2]), (471,472,[3_1|2]), (472,473,[0_1|2]), (473,474,[0_1|2]), (474,475,[0_1|2]), (475,476,[3_1|2]), (476,477,[1_1|2]), (477,478,[3_1|2]), (478,479,[3_1|2]), (479,480,[5_1|2]), (479,334,[3_1|2]), (480,152,[3_1|2]), (480,153,[3_1|2]), (480,168,[3_1|2]), (480,179,[3_1|2]), (480,250,[3_1|2]), (480,319,[3_1|2]), (480,334,[3_1|2]), (480,497,[3_1|2]), (480,514,[3_1|2]), (480,238,[3_1|2]), (480,531,[1_1|2]), (481,482,[2_1|2]), (482,483,[1_1|2]), (483,484,[5_1|2]), (484,485,[2_1|2]), (485,486,[5_1|2]), (486,487,[1_1|2]), (487,488,[4_1|2]), (488,489,[0_1|2]), (489,490,[3_1|2]), (490,491,[5_1|2]), (491,492,[3_1|2]), (492,493,[1_1|2]), (493,494,[4_1|2]), (494,495,[2_1|2]), (495,496,[3_1|2]), (495,514,[3_1|2]), (495,531,[1_1|2]), (496,152,[5_1|2]), (496,200,[5_1|2]), (496,254,[5_1|2]), (496,294,[5_1|2]), (496,306,[5_1|2]), (496,250,[3_1|2]), (496,262,[2_1|2]), (496,272,[2_1|2]), (496,283,[1_1|2]), (496,319,[3_1|2]), (496,334,[3_1|2]), (496,351,[4_1|2]), (497,498,[5_1|2]), (498,499,[3_1|2]), (499,500,[3_1|2]), (500,501,[0_1|2]), (501,502,[2_1|2]), (502,503,[5_1|2]), (503,504,[1_1|2]), (504,505,[5_1|2]), (505,506,[4_1|2]), (506,507,[4_1|2]), (507,508,[3_1|2]), (508,509,[1_1|2]), (509,510,[2_1|2]), (510,511,[3_1|2]), (511,512,[4_1|2]), (512,513,[3_1|2]), (512,514,[3_1|2]), (512,531,[1_1|2]), (513,152,[5_1|2]), (513,200,[5_1|2]), (513,254,[5_1|2]), (513,294,[5_1|2]), (513,306,[5_1|2]), (513,156,[5_1|2]), (513,403,[5_1|2]), (513,419,[5_1|2]), (513,464,[5_1|2]), (513,250,[3_1|2]), (513,262,[2_1|2]), (513,272,[2_1|2]), (513,283,[1_1|2]), (513,319,[3_1|2]), (513,334,[3_1|2]), (513,351,[4_1|2]), (514,515,[0_1|2]), (515,516,[5_1|2]), (516,517,[5_1|2]), (517,518,[4_1|2]), (518,519,[5_1|2]), (519,520,[1_1|2]), (520,521,[4_1|2]), (521,522,[3_1|2]), (522,523,[0_1|2]), (523,524,[0_1|2]), (524,525,[5_1|2]), (525,526,[5_1|2]), (526,527,[3_1|2]), (527,528,[3_1|2]), (528,529,[1_1|2]), (529,530,[2_1|2]), (529,217,[4_1|2]), (529,220,[4_1|2]), (530,152,[3_1|2]), (530,153,[3_1|2]), (530,168,[3_1|2]), (530,179,[3_1|2]), (530,250,[3_1|2]), (530,319,[3_1|2]), (530,334,[3_1|2]), (530,497,[3_1|2]), (530,514,[3_1|2]), (530,531,[1_1|2]), (531,532,[1_1|2]), (532,533,[4_1|2]), (533,534,[1_1|2]), (534,535,[1_1|2]), (535,536,[3_1|2]), (536,537,[2_1|2]), (537,538,[5_1|2]), (538,539,[3_1|2]), (539,540,[4_1|2]), (540,541,[5_1|2]), (541,542,[2_1|2]), (542,543,[4_1|2]), (543,544,[4_1|2]), (544,545,[0_1|2]), (545,546,[2_1|2]), (546,547,[0_1|2]), (547,548,[0_1|2]), (548,152,[0_1|2]), (548,425,[0_1|2]), (548,153,[3_1|2]), (548,155,[1_1|2]), (548,168,[3_1|2]), (548,173,[4_1|2]), (548,179,[3_1|2]), (548,192,[2_1|2]), (548,200,[5_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)