/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 71 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 71 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(2(3(x1)))))) -> 2(2(2(4(2(3(x1)))))) 2(2(0(0(3(0(3(x1))))))) -> 2(2(4(4(5(4(2(x1))))))) 0(4(3(0(4(3(2(0(2(4(x1)))))))))) -> 0(5(3(1(0(1(3(4(4(x1))))))))) 1(0(1(1(1(5(4(3(2(1(x1)))))))))) -> 2(4(2(1(5(1(5(4(2(1(x1)))))))))) 1(5(5(4(3(0(3(2(2(0(x1)))))))))) -> 2(0(5(0(5(2(2(0(2(0(x1)))))))))) 2(1(4(4(1(3(0(0(1(2(x1)))))))))) -> 4(1(2(5(2(2(3(4(5(1(x1)))))))))) 2(2(2(5(5(4(0(4(1(5(x1)))))))))) -> 2(5(3(4(2(2(4(2(5(x1))))))))) 4(4(5(1(3(0(5(0(5(2(5(x1))))))))))) -> 0(0(0(0(1(0(3(0(0(5(x1)))))))))) 0(0(2(2(2(3(5(0(5(3(2(3(x1)))))))))))) -> 3(2(3(1(5(3(5(3(5(5(2(x1))))))))))) 1(5(0(5(5(0(2(0(4(5(3(3(x1)))))))))))) -> 1(5(2(2(5(2(1(5(4(3(1(3(x1)))))))))))) 3(1(2(3(1(3(5(5(2(5(1(2(2(x1))))))))))))) -> 3(5(4(4(1(1(3(1(4(0(3(3(x1)))))))))))) 3(2(0(5(4(4(4(3(0(0(3(2(2(x1))))))))))))) -> 0(5(3(2(2(2(5(4(0(4(1(5(x1)))))))))))) 4(5(2(0(2(4(3(2(2(5(5(4(0(3(2(x1))))))))))))))) -> 4(5(2(0(1(2(2(3(4(5(5(5(5(5(x1)))))))))))))) 3(0(0(5(5(0(1(0(5(3(0(2(1(2(1(3(x1)))))))))))))))) -> 3(5(5(0(5(2(4(2(1(1(5(2(4(5(4(1(5(x1))))))))))))))))) 3(1(0(1(4(3(4(3(4(0(2(5(4(1(2(5(x1)))))))))))))))) -> 3(0(0(5(0(1(0(5(5(1(4(1(2(2(5(x1))))))))))))))) 3(5(4(0(4(2(1(1(0(4(4(3(2(1(2(3(x1)))))))))))))))) -> 3(2(0(0(1(1(2(3(5(1(5(3(2(2(2(x1))))))))))))))) 5(1(0(5(2(3(5(3(2(5(3(4(4(4(4(0(4(x1))))))))))))))))) -> 5(3(1(5(2(0(4(0(2(1(1(2(0(0(3(2(4(x1))))))))))))))))) 2(1(1(2(4(5(5(1(0(5(0(2(0(2(4(3(0(2(x1)))))))))))))))))) -> 2(3(3(5(5(0(0(2(1(0(5(0(3(5(2(3(1(x1))))))))))))))))) 2(3(2(0(2(5(4(4(4(3(4(4(5(5(5(3(2(0(x1)))))))))))))))))) -> 2(1(5(1(2(4(4(2(4(0(1(3(3(1(4(4(0(3(x1)))))))))))))))))) 5(3(4(0(3(3(1(4(4(0(3(2(5(3(1(0(0(3(x1)))))))))))))))))) -> 5(3(3(0(4(3(4(4(0(2(4(2(1(5(3(5(1(4(x1)))))))))))))))))) 1(1(0(0(3(3(4(0(5(1(3(3(0(2(2(3(0(1(2(x1))))))))))))))))))) -> 1(1(0(3(2(4(3(4(0(3(3(4(4(0(0(2(3(3(4(x1))))))))))))))))))) 3(1(3(0(0(2(3(2(3(0(3(3(2(5(2(3(0(4(0(x1))))))))))))))))))) -> 3(4(1(4(4(5(3(5(0(1(4(4(4(3(0(4(0(0(0(x1))))))))))))))))))) 4(3(0(1(0(2(1(4(0(2(1(2(3(0(3(3(0(1(3(x1))))))))))))))))))) -> 3(4(2(5(1(0(0(3(0(3(5(0(0(0(4(4(4(5(4(x1))))))))))))))))))) 4(5(5(5(0(5(4(5(5(2(0(4(0(3(5(0(4(4(0(x1))))))))))))))))))) -> 1(1(5(3(0(2(3(4(0(3(5(1(2(2(4(0(0(2(2(x1))))))))))))))))))) 0(2(1(4(5(0(2(4(3(1(3(1(2(5(3(0(4(0(2(2(x1)))))))))))))))))))) -> 0(0(2(5(1(0(0(4(2(2(2(4(2(1(3(2(4(3(1(3(x1)))))))))))))))))))) 1(2(3(3(5(1(0(2(3(4(5(4(1(5(4(2(5(0(2(4(x1)))))))))))))))))))) -> 1(2(4(5(1(4(5(1(4(3(5(1(4(3(4(3(1(4(1(4(x1)))))))))))))))))))) 1(5(0(0(3(3(5(1(1(0(0(2(5(4(4(5(1(1(5(4(x1)))))))))))))))))))) -> 1(1(2(1(3(2(4(1(1(5(0(1(3(5(4(5(1(5(4(x1))))))))))))))))))) 1(5(1(4(3(2(3(1(5(5(4(2(5(5(5(2(1(3(5(2(2(x1))))))))))))))))))))) -> 1(0(5(2(2(0(0(5(0(2(4(3(2(5(3(1(0(3(5(2(5(x1))))))))))))))))))))) 4(4(4(0(0(2(1(2(1(5(5(2(5(0(4(0(0(1(0(4(0(x1))))))))))))))))))))) -> 0(0(1(4(3(3(5(1(5(5(3(5(1(4(0(5(5(5(3(x1))))))))))))))))))) 5(5(3(3(1(4(1(2(2(3(1(0(0(2(5(5(5(5(5(3(0(x1))))))))))))))))))))) -> 5(5(0(2(3(5(5(3(3(4(3(1(3(3(3(2(0(0(0(3(5(x1))))))))))))))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(2(3(x1)))))) -> 2(2(2(4(2(3(x1)))))) 2(2(0(0(3(0(3(x1))))))) -> 2(2(4(4(5(4(2(x1))))))) 0(4(3(0(4(3(2(0(2(4(x1)))))))))) -> 0(5(3(1(0(1(3(4(4(x1))))))))) 1(0(1(1(1(5(4(3(2(1(x1)))))))))) -> 2(4(2(1(5(1(5(4(2(1(x1)))))))))) 1(5(5(4(3(0(3(2(2(0(x1)))))))))) -> 2(0(5(0(5(2(2(0(2(0(x1)))))))))) 2(1(4(4(1(3(0(0(1(2(x1)))))))))) -> 4(1(2(5(2(2(3(4(5(1(x1)))))))))) 2(2(2(5(5(4(0(4(1(5(x1)))))))))) -> 2(5(3(4(2(2(4(2(5(x1))))))))) 4(4(5(1(3(0(5(0(5(2(5(x1))))))))))) -> 0(0(0(0(1(0(3(0(0(5(x1)))))))))) 0(0(2(2(2(3(5(0(5(3(2(3(x1)))))))))))) -> 3(2(3(1(5(3(5(3(5(5(2(x1))))))))))) 1(5(0(5(5(0(2(0(4(5(3(3(x1)))))))))))) -> 1(5(2(2(5(2(1(5(4(3(1(3(x1)))))))))))) 3(1(2(3(1(3(5(5(2(5(1(2(2(x1))))))))))))) -> 3(5(4(4(1(1(3(1(4(0(3(3(x1)))))))))))) 3(2(0(5(4(4(4(3(0(0(3(2(2(x1))))))))))))) -> 0(5(3(2(2(2(5(4(0(4(1(5(x1)))))))))))) 4(5(2(0(2(4(3(2(2(5(5(4(0(3(2(x1))))))))))))))) -> 4(5(2(0(1(2(2(3(4(5(5(5(5(5(x1)))))))))))))) 3(0(0(5(5(0(1(0(5(3(0(2(1(2(1(3(x1)))))))))))))))) -> 3(5(5(0(5(2(4(2(1(1(5(2(4(5(4(1(5(x1))))))))))))))))) 3(1(0(1(4(3(4(3(4(0(2(5(4(1(2(5(x1)))))))))))))))) -> 3(0(0(5(0(1(0(5(5(1(4(1(2(2(5(x1))))))))))))))) 3(5(4(0(4(2(1(1(0(4(4(3(2(1(2(3(x1)))))))))))))))) -> 3(2(0(0(1(1(2(3(5(1(5(3(2(2(2(x1))))))))))))))) 5(1(0(5(2(3(5(3(2(5(3(4(4(4(4(0(4(x1))))))))))))))))) -> 5(3(1(5(2(0(4(0(2(1(1(2(0(0(3(2(4(x1))))))))))))))))) 2(1(1(2(4(5(5(1(0(5(0(2(0(2(4(3(0(2(x1)))))))))))))))))) -> 2(3(3(5(5(0(0(2(1(0(5(0(3(5(2(3(1(x1))))))))))))))))) 2(3(2(0(2(5(4(4(4(3(4(4(5(5(5(3(2(0(x1)))))))))))))))))) -> 2(1(5(1(2(4(4(2(4(0(1(3(3(1(4(4(0(3(x1)))))))))))))))))) 5(3(4(0(3(3(1(4(4(0(3(2(5(3(1(0(0(3(x1)))))))))))))))))) -> 5(3(3(0(4(3(4(4(0(2(4(2(1(5(3(5(1(4(x1)))))))))))))))))) 1(1(0(0(3(3(4(0(5(1(3(3(0(2(2(3(0(1(2(x1))))))))))))))))))) -> 1(1(0(3(2(4(3(4(0(3(3(4(4(0(0(2(3(3(4(x1))))))))))))))))))) 3(1(3(0(0(2(3(2(3(0(3(3(2(5(2(3(0(4(0(x1))))))))))))))))))) -> 3(4(1(4(4(5(3(5(0(1(4(4(4(3(0(4(0(0(0(x1))))))))))))))))))) 4(3(0(1(0(2(1(4(0(2(1(2(3(0(3(3(0(1(3(x1))))))))))))))))))) -> 3(4(2(5(1(0(0(3(0(3(5(0(0(0(4(4(4(5(4(x1))))))))))))))))))) 4(5(5(5(0(5(4(5(5(2(0(4(0(3(5(0(4(4(0(x1))))))))))))))))))) -> 1(1(5(3(0(2(3(4(0(3(5(1(2(2(4(0(0(2(2(x1))))))))))))))))))) 0(2(1(4(5(0(2(4(3(1(3(1(2(5(3(0(4(0(2(2(x1)))))))))))))))))))) -> 0(0(2(5(1(0(0(4(2(2(2(4(2(1(3(2(4(3(1(3(x1)))))))))))))))))))) 1(2(3(3(5(1(0(2(3(4(5(4(1(5(4(2(5(0(2(4(x1)))))))))))))))))))) -> 1(2(4(5(1(4(5(1(4(3(5(1(4(3(4(3(1(4(1(4(x1)))))))))))))))))))) 1(5(0(0(3(3(5(1(1(0(0(2(5(4(4(5(1(1(5(4(x1)))))))))))))))))))) -> 1(1(2(1(3(2(4(1(1(5(0(1(3(5(4(5(1(5(4(x1))))))))))))))))))) 1(5(1(4(3(2(3(1(5(5(4(2(5(5(5(2(1(3(5(2(2(x1))))))))))))))))))))) -> 1(0(5(2(2(0(0(5(0(2(4(3(2(5(3(1(0(3(5(2(5(x1))))))))))))))))))))) 4(4(4(0(0(2(1(2(1(5(5(2(5(0(4(0(0(1(0(4(0(x1))))))))))))))))))))) -> 0(0(1(4(3(3(5(1(5(5(3(5(1(4(0(5(5(5(3(x1))))))))))))))))))) 5(5(3(3(1(4(1(2(2(3(1(0(0(2(5(5(5(5(5(3(0(x1))))))))))))))))))))) -> 5(5(0(2(3(5(5(3(3(4(3(1(3(3(3(2(0(0(0(3(5(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(2(3(x1)))))) -> 2(2(2(4(2(3(x1)))))) 2(2(0(0(3(0(3(x1))))))) -> 2(2(4(4(5(4(2(x1))))))) 0(4(3(0(4(3(2(0(2(4(x1)))))))))) -> 0(5(3(1(0(1(3(4(4(x1))))))))) 1(0(1(1(1(5(4(3(2(1(x1)))))))))) -> 2(4(2(1(5(1(5(4(2(1(x1)))))))))) 1(5(5(4(3(0(3(2(2(0(x1)))))))))) -> 2(0(5(0(5(2(2(0(2(0(x1)))))))))) 2(1(4(4(1(3(0(0(1(2(x1)))))))))) -> 4(1(2(5(2(2(3(4(5(1(x1)))))))))) 2(2(2(5(5(4(0(4(1(5(x1)))))))))) -> 2(5(3(4(2(2(4(2(5(x1))))))))) 4(4(5(1(3(0(5(0(5(2(5(x1))))))))))) -> 0(0(0(0(1(0(3(0(0(5(x1)))))))))) 0(0(2(2(2(3(5(0(5(3(2(3(x1)))))))))))) -> 3(2(3(1(5(3(5(3(5(5(2(x1))))))))))) 1(5(0(5(5(0(2(0(4(5(3(3(x1)))))))))))) -> 1(5(2(2(5(2(1(5(4(3(1(3(x1)))))))))))) 3(1(2(3(1(3(5(5(2(5(1(2(2(x1))))))))))))) -> 3(5(4(4(1(1(3(1(4(0(3(3(x1)))))))))))) 3(2(0(5(4(4(4(3(0(0(3(2(2(x1))))))))))))) -> 0(5(3(2(2(2(5(4(0(4(1(5(x1)))))))))))) 4(5(2(0(2(4(3(2(2(5(5(4(0(3(2(x1))))))))))))))) -> 4(5(2(0(1(2(2(3(4(5(5(5(5(5(x1)))))))))))))) 3(0(0(5(5(0(1(0(5(3(0(2(1(2(1(3(x1)))))))))))))))) -> 3(5(5(0(5(2(4(2(1(1(5(2(4(5(4(1(5(x1))))))))))))))))) 3(1(0(1(4(3(4(3(4(0(2(5(4(1(2(5(x1)))))))))))))))) -> 3(0(0(5(0(1(0(5(5(1(4(1(2(2(5(x1))))))))))))))) 3(5(4(0(4(2(1(1(0(4(4(3(2(1(2(3(x1)))))))))))))))) -> 3(2(0(0(1(1(2(3(5(1(5(3(2(2(2(x1))))))))))))))) 5(1(0(5(2(3(5(3(2(5(3(4(4(4(4(0(4(x1))))))))))))))))) -> 5(3(1(5(2(0(4(0(2(1(1(2(0(0(3(2(4(x1))))))))))))))))) 2(1(1(2(4(5(5(1(0(5(0(2(0(2(4(3(0(2(x1)))))))))))))))))) -> 2(3(3(5(5(0(0(2(1(0(5(0(3(5(2(3(1(x1))))))))))))))))) 2(3(2(0(2(5(4(4(4(3(4(4(5(5(5(3(2(0(x1)))))))))))))))))) -> 2(1(5(1(2(4(4(2(4(0(1(3(3(1(4(4(0(3(x1)))))))))))))))))) 5(3(4(0(3(3(1(4(4(0(3(2(5(3(1(0(0(3(x1)))))))))))))))))) -> 5(3(3(0(4(3(4(4(0(2(4(2(1(5(3(5(1(4(x1)))))))))))))))))) 1(1(0(0(3(3(4(0(5(1(3(3(0(2(2(3(0(1(2(x1))))))))))))))))))) -> 1(1(0(3(2(4(3(4(0(3(3(4(4(0(0(2(3(3(4(x1))))))))))))))))))) 3(1(3(0(0(2(3(2(3(0(3(3(2(5(2(3(0(4(0(x1))))))))))))))))))) -> 3(4(1(4(4(5(3(5(0(1(4(4(4(3(0(4(0(0(0(x1))))))))))))))))))) 4(3(0(1(0(2(1(4(0(2(1(2(3(0(3(3(0(1(3(x1))))))))))))))))))) -> 3(4(2(5(1(0(0(3(0(3(5(0(0(0(4(4(4(5(4(x1))))))))))))))))))) 4(5(5(5(0(5(4(5(5(2(0(4(0(3(5(0(4(4(0(x1))))))))))))))))))) -> 1(1(5(3(0(2(3(4(0(3(5(1(2(2(4(0(0(2(2(x1))))))))))))))))))) 0(2(1(4(5(0(2(4(3(1(3(1(2(5(3(0(4(0(2(2(x1)))))))))))))))))))) -> 0(0(2(5(1(0(0(4(2(2(2(4(2(1(3(2(4(3(1(3(x1)))))))))))))))))))) 1(2(3(3(5(1(0(2(3(4(5(4(1(5(4(2(5(0(2(4(x1)))))))))))))))))))) -> 1(2(4(5(1(4(5(1(4(3(5(1(4(3(4(3(1(4(1(4(x1)))))))))))))))))))) 1(5(0(0(3(3(5(1(1(0(0(2(5(4(4(5(1(1(5(4(x1)))))))))))))))))))) -> 1(1(2(1(3(2(4(1(1(5(0(1(3(5(4(5(1(5(4(x1))))))))))))))))))) 1(5(1(4(3(2(3(1(5(5(4(2(5(5(5(2(1(3(5(2(2(x1))))))))))))))))))))) -> 1(0(5(2(2(0(0(5(0(2(4(3(2(5(3(1(0(3(5(2(5(x1))))))))))))))))))))) 4(4(4(0(0(2(1(2(1(5(5(2(5(0(4(0(0(1(0(4(0(x1))))))))))))))))))))) -> 0(0(1(4(3(3(5(1(5(5(3(5(1(4(0(5(5(5(3(x1))))))))))))))))))) 5(5(3(3(1(4(1(2(2(3(1(0(0(2(5(5(5(5(5(3(0(x1))))))))))))))))))))) -> 5(5(0(2(3(5(5(3(3(4(3(1(3(3(3(2(0(0(0(3(5(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(2(3(x1)))))) -> 2(2(2(4(2(3(x1)))))) 2(2(0(0(3(0(3(x1))))))) -> 2(2(4(4(5(4(2(x1))))))) 0(4(3(0(4(3(2(0(2(4(x1)))))))))) -> 0(5(3(1(0(1(3(4(4(x1))))))))) 1(0(1(1(1(5(4(3(2(1(x1)))))))))) -> 2(4(2(1(5(1(5(4(2(1(x1)))))))))) 1(5(5(4(3(0(3(2(2(0(x1)))))))))) -> 2(0(5(0(5(2(2(0(2(0(x1)))))))))) 2(1(4(4(1(3(0(0(1(2(x1)))))))))) -> 4(1(2(5(2(2(3(4(5(1(x1)))))))))) 2(2(2(5(5(4(0(4(1(5(x1)))))))))) -> 2(5(3(4(2(2(4(2(5(x1))))))))) 4(4(5(1(3(0(5(0(5(2(5(x1))))))))))) -> 0(0(0(0(1(0(3(0(0(5(x1)))))))))) 0(0(2(2(2(3(5(0(5(3(2(3(x1)))))))))))) -> 3(2(3(1(5(3(5(3(5(5(2(x1))))))))))) 1(5(0(5(5(0(2(0(4(5(3(3(x1)))))))))))) -> 1(5(2(2(5(2(1(5(4(3(1(3(x1)))))))))))) 3(1(2(3(1(3(5(5(2(5(1(2(2(x1))))))))))))) -> 3(5(4(4(1(1(3(1(4(0(3(3(x1)))))))))))) 3(2(0(5(4(4(4(3(0(0(3(2(2(x1))))))))))))) -> 0(5(3(2(2(2(5(4(0(4(1(5(x1)))))))))))) 4(5(2(0(2(4(3(2(2(5(5(4(0(3(2(x1))))))))))))))) -> 4(5(2(0(1(2(2(3(4(5(5(5(5(5(x1)))))))))))))) 3(0(0(5(5(0(1(0(5(3(0(2(1(2(1(3(x1)))))))))))))))) -> 3(5(5(0(5(2(4(2(1(1(5(2(4(5(4(1(5(x1))))))))))))))))) 3(1(0(1(4(3(4(3(4(0(2(5(4(1(2(5(x1)))))))))))))))) -> 3(0(0(5(0(1(0(5(5(1(4(1(2(2(5(x1))))))))))))))) 3(5(4(0(4(2(1(1(0(4(4(3(2(1(2(3(x1)))))))))))))))) -> 3(2(0(0(1(1(2(3(5(1(5(3(2(2(2(x1))))))))))))))) 5(1(0(5(2(3(5(3(2(5(3(4(4(4(4(0(4(x1))))))))))))))))) -> 5(3(1(5(2(0(4(0(2(1(1(2(0(0(3(2(4(x1))))))))))))))))) 2(1(1(2(4(5(5(1(0(5(0(2(0(2(4(3(0(2(x1)))))))))))))))))) -> 2(3(3(5(5(0(0(2(1(0(5(0(3(5(2(3(1(x1))))))))))))))))) 2(3(2(0(2(5(4(4(4(3(4(4(5(5(5(3(2(0(x1)))))))))))))))))) -> 2(1(5(1(2(4(4(2(4(0(1(3(3(1(4(4(0(3(x1)))))))))))))))))) 5(3(4(0(3(3(1(4(4(0(3(2(5(3(1(0(0(3(x1)))))))))))))))))) -> 5(3(3(0(4(3(4(4(0(2(4(2(1(5(3(5(1(4(x1)))))))))))))))))) 1(1(0(0(3(3(4(0(5(1(3(3(0(2(2(3(0(1(2(x1))))))))))))))))))) -> 1(1(0(3(2(4(3(4(0(3(3(4(4(0(0(2(3(3(4(x1))))))))))))))))))) 3(1(3(0(0(2(3(2(3(0(3(3(2(5(2(3(0(4(0(x1))))))))))))))))))) -> 3(4(1(4(4(5(3(5(0(1(4(4(4(3(0(4(0(0(0(x1))))))))))))))))))) 4(3(0(1(0(2(1(4(0(2(1(2(3(0(3(3(0(1(3(x1))))))))))))))))))) -> 3(4(2(5(1(0(0(3(0(3(5(0(0(0(4(4(4(5(4(x1))))))))))))))))))) 4(5(5(5(0(5(4(5(5(2(0(4(0(3(5(0(4(4(0(x1))))))))))))))))))) -> 1(1(5(3(0(2(3(4(0(3(5(1(2(2(4(0(0(2(2(x1))))))))))))))))))) 0(2(1(4(5(0(2(4(3(1(3(1(2(5(3(0(4(0(2(2(x1)))))))))))))))))))) -> 0(0(2(5(1(0(0(4(2(2(2(4(2(1(3(2(4(3(1(3(x1)))))))))))))))))))) 1(2(3(3(5(1(0(2(3(4(5(4(1(5(4(2(5(0(2(4(x1)))))))))))))))))))) -> 1(2(4(5(1(4(5(1(4(3(5(1(4(3(4(3(1(4(1(4(x1)))))))))))))))))))) 1(5(0(0(3(3(5(1(1(0(0(2(5(4(4(5(1(1(5(4(x1)))))))))))))))))))) -> 1(1(2(1(3(2(4(1(1(5(0(1(3(5(4(5(1(5(4(x1))))))))))))))))))) 1(5(1(4(3(2(3(1(5(5(4(2(5(5(5(2(1(3(5(2(2(x1))))))))))))))))))))) -> 1(0(5(2(2(0(0(5(0(2(4(3(2(5(3(1(0(3(5(2(5(x1))))))))))))))))))))) 4(4(4(0(0(2(1(2(1(5(5(2(5(0(4(0(0(1(0(4(0(x1))))))))))))))))))))) -> 0(0(1(4(3(3(5(1(5(5(3(5(1(4(0(5(5(5(3(x1))))))))))))))))))) 5(5(3(3(1(4(1(2(2(3(1(0(0(2(5(5(5(5(5(3(0(x1))))))))))))))))))))) -> 5(5(0(2(3(5(5(3(3(4(3(1(3(3(3(2(0(0(0(3(5(x1))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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. "[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] {(148,149,[0_1|0, 2_1|0, 1_1|0, 4_1|0, 3_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]), (148,150,[0_1|1, 2_1|1, 1_1|1, 4_1|1, 3_1|1, 5_1|1]), (148,151,[2_1|2]), (148,156,[3_1|2]), (148,166,[0_1|2]), (148,174,[0_1|2]), (148,193,[2_1|2]), (148,199,[2_1|2]), (148,207,[4_1|2]), (148,216,[2_1|2]), (148,232,[2_1|2]), (148,249,[2_1|2]), (148,258,[2_1|2]), (148,267,[1_1|2]), (148,278,[1_1|2]), (148,296,[1_1|2]), (148,316,[1_1|2]), (148,334,[1_1|2]), (148,353,[0_1|2]), (148,362,[0_1|2]), (148,380,[4_1|2]), (148,393,[1_1|2]), (148,411,[3_1|2]), (148,429,[3_1|2]), (148,440,[3_1|2]), (148,454,[3_1|2]), (148,472,[0_1|2]), (148,483,[3_1|2]), (148,499,[3_1|2]), (148,513,[5_1|2]), (148,529,[5_1|2]), (148,546,[5_1|2]), (149,149,[cons_0_1|0, cons_2_1|0, cons_1_1|0, cons_4_1|0, cons_3_1|0, cons_5_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 2_1|1, 1_1|1, 4_1|1, 3_1|1, 5_1|1]), (150,151,[2_1|2]), (150,156,[3_1|2]), (150,166,[0_1|2]), (150,174,[0_1|2]), (150,193,[2_1|2]), (150,199,[2_1|2]), (150,207,[4_1|2]), (150,216,[2_1|2]), (150,232,[2_1|2]), (150,249,[2_1|2]), (150,258,[2_1|2]), (150,267,[1_1|2]), (150,278,[1_1|2]), (150,296,[1_1|2]), (150,316,[1_1|2]), (150,334,[1_1|2]), (150,353,[0_1|2]), (150,362,[0_1|2]), (150,380,[4_1|2]), (150,393,[1_1|2]), (150,411,[3_1|2]), (150,429,[3_1|2]), (150,440,[3_1|2]), (150,454,[3_1|2]), (150,472,[0_1|2]), (150,483,[3_1|2]), (150,499,[3_1|2]), (150,513,[5_1|2]), (150,529,[5_1|2]), (150,546,[5_1|2]), (151,152,[2_1|2]), (152,153,[2_1|2]), (153,154,[4_1|2]), (154,155,[2_1|2]), (154,232,[2_1|2]), (155,150,[3_1|2]), (155,156,[3_1|2]), (155,411,[3_1|2]), (155,429,[3_1|2]), (155,440,[3_1|2]), (155,454,[3_1|2]), (155,483,[3_1|2]), (155,499,[3_1|2]), (155,217,[3_1|2]), (155,472,[0_1|2]), (156,157,[2_1|2]), (157,158,[3_1|2]), (158,159,[1_1|2]), (159,160,[5_1|2]), (160,161,[3_1|2]), 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(190,191,[3_1|2]), (190,454,[3_1|2]), (191,192,[1_1|2]), (192,150,[3_1|2]), (192,151,[3_1|2]), (192,193,[3_1|2]), (192,199,[3_1|2]), (192,216,[3_1|2]), (192,232,[3_1|2]), (192,249,[3_1|2]), (192,258,[3_1|2]), (192,152,[3_1|2]), (192,194,[3_1|2]), (192,429,[3_1|2]), (192,440,[3_1|2]), (192,454,[3_1|2]), (192,472,[0_1|2]), (192,483,[3_1|2]), (192,499,[3_1|2]), (193,194,[2_1|2]), (194,195,[4_1|2]), (195,196,[4_1|2]), (196,197,[5_1|2]), (197,198,[4_1|2]), (198,150,[2_1|2]), (198,156,[2_1|2]), (198,411,[2_1|2]), (198,429,[2_1|2]), (198,440,[2_1|2]), (198,454,[2_1|2]), (198,483,[2_1|2]), (198,499,[2_1|2]), (198,193,[2_1|2]), (198,199,[2_1|2]), (198,207,[4_1|2]), (198,216,[2_1|2]), (198,232,[2_1|2]), (199,200,[5_1|2]), (200,201,[3_1|2]), (201,202,[4_1|2]), (202,203,[2_1|2]), (203,204,[2_1|2]), (204,205,[4_1|2]), (205,206,[2_1|2]), (206,150,[5_1|2]), (206,513,[5_1|2]), (206,529,[5_1|2]), (206,546,[5_1|2]), (206,268,[5_1|2]), (207,208,[1_1|2]), (208,209,[2_1|2]), (209,210,[5_1|2]), (210,211,[2_1|2]), (211,212,[2_1|2]), (212,213,[3_1|2]), (213,214,[4_1|2]), (214,215,[5_1|2]), (214,513,[5_1|2]), (215,150,[1_1|2]), (215,151,[1_1|2]), (215,193,[1_1|2]), (215,199,[1_1|2]), (215,216,[1_1|2]), (215,232,[1_1|2]), (215,249,[1_1|2, 2_1|2]), (215,258,[1_1|2, 2_1|2]), (215,335,[1_1|2]), (215,267,[1_1|2]), (215,278,[1_1|2]), (215,296,[1_1|2]), (215,316,[1_1|2]), (215,334,[1_1|2]), (216,217,[3_1|2]), (217,218,[3_1|2]), (218,219,[5_1|2]), (219,220,[5_1|2]), (220,221,[0_1|2]), (221,222,[0_1|2]), (222,223,[2_1|2]), (223,224,[1_1|2]), (224,225,[0_1|2]), (225,226,[5_1|2]), (226,227,[0_1|2]), (227,228,[3_1|2]), (228,229,[5_1|2]), (229,230,[2_1|2]), (230,231,[3_1|2]), (230,429,[3_1|2]), (230,440,[3_1|2]), (230,454,[3_1|2]), (231,150,[1_1|2]), (231,151,[1_1|2]), (231,193,[1_1|2]), (231,199,[1_1|2]), (231,216,[1_1|2]), (231,232,[1_1|2]), (231,249,[1_1|2, 2_1|2]), (231,258,[1_1|2, 2_1|2]), (231,267,[1_1|2]), (231,278,[1_1|2]), (231,296,[1_1|2]), (231,316,[1_1|2]), (231,334,[1_1|2]), (232,233,[1_1|2]), (233,234,[5_1|2]), (234,235,[1_1|2]), (235,236,[2_1|2]), (236,237,[4_1|2]), (237,238,[4_1|2]), (238,239,[2_1|2]), (239,240,[4_1|2]), (240,241,[0_1|2]), (241,242,[1_1|2]), (242,243,[3_1|2]), (243,244,[3_1|2]), (244,245,[1_1|2]), (245,246,[4_1|2]), (246,247,[4_1|2]), (247,248,[0_1|2]), (248,150,[3_1|2]), (248,166,[3_1|2]), (248,174,[3_1|2]), (248,353,[3_1|2]), (248,362,[3_1|2]), (248,472,[3_1|2, 0_1|2]), (248,259,[3_1|2]), (248,501,[3_1|2]), (248,429,[3_1|2]), (248,440,[3_1|2]), (248,454,[3_1|2]), (248,483,[3_1|2]), (248,499,[3_1|2]), (249,250,[4_1|2]), (250,251,[2_1|2]), (251,252,[1_1|2]), (252,253,[5_1|2]), (253,254,[1_1|2]), (254,255,[5_1|2]), (255,256,[4_1|2]), (256,257,[2_1|2]), (256,207,[4_1|2]), (256,216,[2_1|2]), (257,150,[1_1|2]), (257,267,[1_1|2]), (257,278,[1_1|2]), (257,296,[1_1|2]), (257,316,[1_1|2]), (257,334,[1_1|2]), (257,393,[1_1|2]), (257,233,[1_1|2]), (257,249,[2_1|2]), (257,258,[2_1|2]), (258,259,[0_1|2]), (259,260,[5_1|2]), (260,261,[0_1|2]), (261,262,[5_1|2]), (262,263,[2_1|2]), (263,264,[2_1|2]), (264,265,[0_1|2]), (265,266,[2_1|2]), (266,150,[0_1|2]), (266,166,[0_1|2]), (266,174,[0_1|2]), (266,353,[0_1|2]), (266,362,[0_1|2]), (266,472,[0_1|2]), (266,259,[0_1|2]), (266,151,[2_1|2]), (266,156,[3_1|2]), (267,268,[5_1|2]), (268,269,[2_1|2]), (269,270,[2_1|2]), (270,271,[5_1|2]), (271,272,[2_1|2]), (272,273,[1_1|2]), (273,274,[5_1|2]), (274,275,[4_1|2]), (275,276,[3_1|2]), (275,454,[3_1|2]), (276,277,[1_1|2]), (277,150,[3_1|2]), (277,156,[3_1|2]), (277,411,[3_1|2]), (277,429,[3_1|2]), (277,440,[3_1|2]), (277,454,[3_1|2]), (277,483,[3_1|2]), (277,499,[3_1|2]), (277,531,[3_1|2]), (277,472,[0_1|2]), (278,279,[1_1|2]), (279,280,[2_1|2]), (280,281,[1_1|2]), (281,282,[3_1|2]), (282,283,[2_1|2]), (283,284,[4_1|2]), (284,285,[1_1|2]), (285,286,[1_1|2]), (286,287,[5_1|2]), (287,288,[0_1|2]), (288,289,[1_1|2]), (289,290,[3_1|2]), (290,291,[5_1|2]), (291,292,[4_1|2]), (292,293,[5_1|2]), (293,294,[1_1|2]), (294,295,[5_1|2]), (295,150,[4_1|2]), (295,207,[4_1|2]), (295,380,[4_1|2]), (295,353,[0_1|2]), (295,362,[0_1|2]), (295,393,[1_1|2]), (295,411,[3_1|2]), (296,297,[0_1|2]), (297,298,[5_1|2]), (298,299,[2_1|2]), (299,300,[2_1|2]), (300,301,[0_1|2]), (301,302,[0_1|2]), (302,303,[5_1|2]), (303,304,[0_1|2]), (304,305,[2_1|2]), (305,306,[4_1|2]), (306,307,[3_1|2]), (307,308,[2_1|2]), (308,309,[5_1|2]), (309,310,[3_1|2]), (310,311,[1_1|2]), (311,312,[0_1|2]), (312,313,[3_1|2]), (313,314,[5_1|2]), (314,315,[2_1|2]), (315,150,[5_1|2]), (315,151,[5_1|2]), (315,193,[5_1|2]), (315,199,[5_1|2]), (315,216,[5_1|2]), (315,232,[5_1|2]), (315,249,[5_1|2]), (315,258,[5_1|2]), (315,152,[5_1|2]), (315,194,[5_1|2]), (315,513,[5_1|2]), (315,529,[5_1|2]), (315,546,[5_1|2]), (316,317,[1_1|2]), (317,318,[0_1|2]), (318,319,[3_1|2]), (319,320,[2_1|2]), (320,321,[4_1|2]), (321,322,[3_1|2]), (322,323,[4_1|2]), (323,324,[0_1|2]), (324,325,[3_1|2]), (325,326,[3_1|2]), (326,327,[4_1|2]), (327,328,[4_1|2]), (328,329,[0_1|2]), 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(392,199,[5_1|2]), (392,216,[5_1|2]), (392,232,[5_1|2]), (392,249,[5_1|2]), (392,258,[5_1|2]), (392,157,[5_1|2]), (392,500,[5_1|2]), (392,513,[5_1|2]), (392,529,[5_1|2]), (392,546,[5_1|2]), (393,394,[1_1|2]), (394,395,[5_1|2]), (395,396,[3_1|2]), (396,397,[0_1|2]), (397,398,[2_1|2]), (398,399,[3_1|2]), (399,400,[4_1|2]), (400,401,[0_1|2]), (401,402,[3_1|2]), (402,403,[5_1|2]), (403,404,[1_1|2]), (404,405,[2_1|2]), (405,406,[2_1|2]), (406,407,[4_1|2]), (407,408,[0_1|2]), (407,156,[3_1|2]), (408,409,[0_1|2]), (409,410,[2_1|2]), (409,193,[2_1|2]), (409,199,[2_1|2]), (410,150,[2_1|2]), (410,166,[2_1|2]), (410,174,[2_1|2]), (410,353,[2_1|2]), (410,362,[2_1|2]), (410,472,[2_1|2]), (410,193,[2_1|2]), (410,199,[2_1|2]), (410,207,[4_1|2]), (410,216,[2_1|2]), (410,232,[2_1|2]), (411,412,[4_1|2]), (412,413,[2_1|2]), (413,414,[5_1|2]), (414,415,[1_1|2]), (415,416,[0_1|2]), (416,417,[0_1|2]), (417,418,[3_1|2]), (418,419,[0_1|2]), (419,420,[3_1|2]), (420,421,[5_1|2]), (421,422,[0_1|2]), (422,423,[0_1|2]), (423,424,[0_1|2]), (424,425,[4_1|2]), (425,426,[4_1|2]), (426,427,[4_1|2]), (427,428,[5_1|2]), (428,150,[4_1|2]), (428,156,[4_1|2]), (428,411,[4_1|2, 3_1|2]), (428,429,[4_1|2]), (428,440,[4_1|2]), (428,454,[4_1|2]), (428,483,[4_1|2]), (428,499,[4_1|2]), (428,353,[0_1|2]), (428,362,[0_1|2]), (428,380,[4_1|2]), (428,393,[1_1|2]), (429,430,[5_1|2]), (430,431,[4_1|2]), (431,432,[4_1|2]), (432,433,[1_1|2]), (433,434,[1_1|2]), (434,435,[3_1|2]), (435,436,[1_1|2]), (436,437,[4_1|2]), (437,438,[0_1|2]), (438,439,[3_1|2]), (439,150,[3_1|2]), (439,151,[3_1|2]), (439,193,[3_1|2]), (439,199,[3_1|2]), (439,216,[3_1|2]), (439,232,[3_1|2]), (439,249,[3_1|2]), (439,258,[3_1|2]), (439,152,[3_1|2]), (439,194,[3_1|2]), (439,429,[3_1|2]), (439,440,[3_1|2]), (439,454,[3_1|2]), (439,472,[0_1|2]), (439,483,[3_1|2]), (439,499,[3_1|2]), (440,441,[0_1|2]), (441,442,[0_1|2]), (442,443,[5_1|2]), (443,444,[0_1|2]), (444,445,[1_1|2]), (445,446,[0_1|2]), (446,447,[5_1|2]), (447,448,[5_1|2]), (448,449,[1_1|2]), (449,450,[4_1|2]), (450,451,[1_1|2]), (451,452,[2_1|2]), (452,453,[2_1|2]), (453,150,[5_1|2]), (453,513,[5_1|2]), (453,529,[5_1|2]), (453,546,[5_1|2]), (453,200,[5_1|2]), (453,210,[5_1|2]), (454,455,[4_1|2]), (455,456,[1_1|2]), (456,457,[4_1|2]), (457,458,[4_1|2]), (458,459,[5_1|2]), (459,460,[3_1|2]), (460,461,[5_1|2]), (461,462,[0_1|2]), (462,463,[1_1|2]), (463,464,[4_1|2]), (464,465,[4_1|2]), (465,466,[4_1|2]), (466,467,[3_1|2]), (467,468,[0_1|2]), (468,469,[4_1|2]), (469,470,[0_1|2]), (470,471,[0_1|2]), (470,151,[2_1|2]), (470,156,[3_1|2]), (471,150,[0_1|2]), (471,166,[0_1|2]), (471,174,[0_1|2]), (471,353,[0_1|2]), (471,362,[0_1|2]), (471,472,[0_1|2]), (471,151,[2_1|2]), (471,156,[3_1|2]), (472,473,[5_1|2]), (473,474,[3_1|2]), (474,475,[2_1|2]), (475,476,[2_1|2]), (476,477,[2_1|2]), (477,478,[5_1|2]), (478,479,[4_1|2]), (479,480,[0_1|2]), (480,481,[4_1|2]), (481,482,[1_1|2]), (481,258,[2_1|2]), (481,267,[1_1|2]), (481,278,[1_1|2]), (481,296,[1_1|2]), (482,150,[5_1|2]), (482,151,[5_1|2]), (482,193,[5_1|2]), (482,199,[5_1|2]), (482,216,[5_1|2]), (482,232,[5_1|2]), (482,249,[5_1|2]), (482,258,[5_1|2]), (482,152,[5_1|2]), (482,194,[5_1|2]), (482,513,[5_1|2]), (482,529,[5_1|2]), (482,546,[5_1|2]), (483,484,[5_1|2]), (484,485,[5_1|2]), (485,486,[0_1|2]), (486,487,[5_1|2]), (487,488,[2_1|2]), (488,489,[4_1|2]), (489,490,[2_1|2]), (490,491,[1_1|2]), (491,492,[1_1|2]), (492,493,[5_1|2]), (493,494,[2_1|2]), (494,495,[4_1|2]), (495,496,[5_1|2]), (496,497,[4_1|2]), (497,498,[1_1|2]), (497,258,[2_1|2]), (497,267,[1_1|2]), (497,278,[1_1|2]), (497,296,[1_1|2]), (498,150,[5_1|2]), (498,156,[5_1|2]), (498,411,[5_1|2]), (498,429,[5_1|2]), (498,440,[5_1|2]), (498,454,[5_1|2]), (498,483,[5_1|2]), (498,499,[5_1|2]), (498,513,[5_1|2]), (498,529,[5_1|2]), (498,546,[5_1|2]), (499,500,[2_1|2]), (500,501,[0_1|2]), (501,502,[0_1|2]), (502,503,[1_1|2]), (503,504,[1_1|2]), (504,505,[2_1|2]), (505,506,[3_1|2]), (506,507,[5_1|2]), (507,508,[1_1|2]), (508,509,[5_1|2]), (509,510,[3_1|2]), (510,511,[2_1|2]), (510,199,[2_1|2]), (511,512,[2_1|2]), (511,193,[2_1|2]), (511,199,[2_1|2]), (512,150,[2_1|2]), (512,156,[2_1|2]), (512,411,[2_1|2]), (512,429,[2_1|2]), (512,440,[2_1|2]), (512,454,[2_1|2]), (512,483,[2_1|2]), (512,499,[2_1|2]), (512,217,[2_1|2]), (512,193,[2_1|2]), (512,199,[2_1|2]), (512,207,[4_1|2]), (512,216,[2_1|2]), (512,232,[2_1|2]), (513,514,[3_1|2]), (514,515,[1_1|2]), (515,516,[5_1|2]), (516,517,[2_1|2]), (517,518,[0_1|2]), (518,519,[4_1|2]), (519,520,[0_1|2]), (520,521,[2_1|2]), (521,522,[1_1|2]), (522,523,[1_1|2]), (523,524,[2_1|2]), (524,525,[0_1|2]), (525,526,[0_1|2]), (526,527,[3_1|2]), (527,528,[2_1|2]), (528,150,[4_1|2]), (528,207,[4_1|2]), (528,380,[4_1|2]), (528,353,[0_1|2]), (528,362,[0_1|2]), (528,393,[1_1|2]), (528,411,[3_1|2]), (529,530,[3_1|2]), (530,531,[3_1|2]), (531,532,[0_1|2]), (532,533,[4_1|2]), (533,534,[3_1|2]), (534,535,[4_1|2]), (535,536,[4_1|2]), (536,537,[0_1|2]), (537,538,[2_1|2]), (538,539,[4_1|2]), (539,540,[2_1|2]), (540,541,[1_1|2]), (541,542,[5_1|2]), (542,543,[3_1|2]), (543,544,[5_1|2]), (544,545,[1_1|2]), (545,150,[4_1|2]), (545,156,[4_1|2]), (545,411,[4_1|2, 3_1|2]), (545,429,[4_1|2]), (545,440,[4_1|2]), (545,454,[4_1|2]), (545,483,[4_1|2]), (545,499,[4_1|2]), (545,353,[0_1|2]), (545,362,[0_1|2]), (545,380,[4_1|2]), (545,393,[1_1|2]), (546,547,[5_1|2]), (547,548,[0_1|2]), (548,549,[2_1|2]), (549,550,[3_1|2]), (550,551,[5_1|2]), (551,552,[5_1|2]), (552,553,[3_1|2]), (553,554,[3_1|2]), (554,555,[4_1|2]), (555,556,[3_1|2]), (556,557,[1_1|2]), (557,558,[3_1|2]), (558,559,[3_1|2]), (559,560,[3_1|2]), (560,561,[2_1|2]), (561,562,[0_1|2]), (562,563,[0_1|2]), (563,564,[0_1|2]), (564,565,[3_1|2]), (564,499,[3_1|2]), (565,150,[5_1|2]), (565,166,[5_1|2]), (565,174,[5_1|2]), (565,353,[5_1|2]), (565,362,[5_1|2]), (565,472,[5_1|2]), (565,441,[5_1|2]), (565,513,[5_1|2]), (565,529,[5_1|2]), (565,546,[5_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)