/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 85 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 263 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) 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: FULL ---------------------------------------- (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 (full) 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: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) 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: FULL ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (full) 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: FULL ---------------------------------------- (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. "[112, 113, 114, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591] {(112,113,[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]), (112,114,[0_1|1, 1_1|1, 3_1|1, 4_1|1, 2_1|1, 5_1|1]), (112,128,[0_1|2]), (112,130,[3_1|2]), (112,147,[5_1|2]), (112,150,[0_1|2]), (112,157,[3_1|2]), (112,167,[2_1|2]), (112,176,[2_1|2]), (112,178,[0_1|2]), (112,197,[2_1|2]), (112,210,[2_1|2]), (112,217,[3_1|2]), (112,228,[2_1|2]), (112,239,[4_1|2]), (112,249,[1_1|2]), (112,267,[3_1|2]), (112,269,[3_1|2]), (112,279,[0_1|2]), (112,282,[1_1|2]), (112,285,[0_1|2]), (112,296,[0_1|2]), (112,305,[1_1|2]), (112,321,[2_1|2]), (112,327,[2_1|2]), (112,338,[1_1|2]), (112,358,[3_1|2]), (112,365,[1_1|2]), (112,367,[5_1|2]), (112,372,[4_1|2]), (112,374,[4_1|2]), (112,377,[4_1|2]), (112,390,[4_1|2]), (112,407,[0_1|2]), (112,426,[2_1|2]), (112,428,[4_1|2]), (112,433,[2_1|2]), (112,439,[2_1|2]), (112,455,[2_1|2]), (112,474,[5_1|2]), (112,486,[5_1|2]), (112,503,[5_1|2]), (113,113,[cons_0_1|0, cons_1_1|0, cons_3_1|0, cons_4_1|0, cons_2_1|0, cons_5_1|0]), (114,113,[encArg_1|1]), (114,114,[0_1|1, 1_1|1, 3_1|1, 4_1|1, 2_1|1, 5_1|1]), (114,128,[0_1|2]), (114,130,[3_1|2]), (114,147,[5_1|2]), (114,150,[0_1|2]), (114,157,[3_1|2]), (114,167,[2_1|2]), (114,176,[2_1|2]), (114,178,[0_1|2]), (114,197,[2_1|2]), (114,210,[2_1|2]), (114,217,[3_1|2]), (114,228,[2_1|2]), (114,239,[4_1|2]), (114,249,[1_1|2]), (114,267,[3_1|2]), (114,269,[3_1|2]), (114,279,[0_1|2]), (114,282,[1_1|2]), (114,285,[0_1|2]), (114,296,[0_1|2]), (114,305,[1_1|2]), (114,321,[2_1|2]), (114,327,[2_1|2]), (114,338,[1_1|2]), (114,358,[3_1|2]), (114,365,[1_1|2]), (114,367,[5_1|2]), (114,372,[4_1|2]), (114,374,[4_1|2]), (114,377,[4_1|2]), (114,390,[4_1|2]), (114,407,[0_1|2]), (114,426,[2_1|2]), (114,428,[4_1|2]), (114,433,[2_1|2]), (114,439,[2_1|2]), (114,455,[2_1|2]), (114,474,[5_1|2]), (114,486,[5_1|2]), (114,503,[5_1|2]), (128,129,[2_1|2]), (129,114,[0_1|2]), (129,128,[0_1|2]), (129,150,[0_1|2]), (129,178,[0_1|2]), (129,279,[0_1|2]), (129,285,[0_1|2]), (129,296,[0_1|2]), (129,407,[0_1|2]), (129,297,[0_1|2]), (129,408,[0_1|2]), (129,307,[0_1|2]), (129,130,[3_1|2]), (129,147,[5_1|2]), (129,157,[3_1|2]), (129,167,[2_1|2]), (129,548,[0_1|3]), (130,131,[1_1|2]), (131,132,[5_1|2]), (132,133,[0_1|2]), (133,134,[2_1|2]), (134,135,[0_1|2]), (135,136,[5_1|2]), (136,137,[4_1|2]), (137,138,[5_1|2]), (138,139,[0_1|2]), (139,140,[1_1|2]), (140,141,[0_1|2]), (141,142,[3_1|2]), (142,143,[2_1|2]), (143,144,[5_1|2]), (144,145,[1_1|2]), (145,146,[4_1|2]), (145,365,[1_1|2]), (145,367,[5_1|2]), (145,550,[1_1|3]), (146,114,[0_1|2]), (146,239,[0_1|2]), (146,372,[0_1|2]), (146,374,[0_1|2]), (146,377,[0_1|2]), (146,390,[0_1|2]), (146,428,[0_1|2]), (146,280,[0_1|2]), (146,128,[0_1|2]), (146,130,[3_1|2]), (146,147,[5_1|2]), (146,150,[0_1|2]), (146,157,[3_1|2]), (146,167,[2_1|2]), (146,548,[0_1|3]), (146,576,[5_1|3]), (147,148,[1_1|2]), (148,149,[2_1|2]), (149,114,[0_1|2]), (149,239,[0_1|2]), (149,372,[0_1|2]), (149,374,[0_1|2]), (149,377,[0_1|2]), (149,390,[0_1|2]), (149,428,[0_1|2]), (149,427,[0_1|2]), (149,128,[0_1|2]), (149,130,[3_1|2]), (149,147,[5_1|2]), (149,150,[0_1|2]), (149,157,[3_1|2]), (149,167,[2_1|2]), (149,548,[0_1|3]), (149,576,[5_1|3]), (150,151,[5_1|2]), (151,152,[2_1|2]), (152,153,[2_1|2]), (153,154,[1_1|2]), (154,155,[3_1|2]), (154,282,[1_1|2]), (154,285,[0_1|2]), (154,552,[1_1|3]), (155,156,[3_1|2]), (156,114,[5_1|2]), (156,147,[5_1|2]), (156,367,[5_1|2]), (156,474,[5_1|2]), (156,486,[5_1|2]), (156,503,[5_1|2]), (157,158,[0_1|2]), (158,159,[0_1|2]), (159,160,[3_1|2]), (160,161,[0_1|2]), (161,162,[4_1|2]), (162,163,[5_1|2]), (163,164,[2_1|2]), (164,165,[5_1|2]), (165,166,[0_1|2]), (165,157,[3_1|2]), (166,114,[2_1|2]), (166,147,[2_1|2]), (166,367,[2_1|2]), (166,474,[2_1|2]), (166,486,[2_1|2]), (166,503,[2_1|2]), (166,430,[2_1|2]), (166,433,[2_1|2]), (166,439,[2_1|2]), (166,455,[2_1|2]), (167,168,[2_1|2]), (168,169,[2_1|2]), (169,170,[2_1|2]), (170,171,[4_1|2]), (171,172,[1_1|2]), (172,173,[2_1|2]), (173,174,[5_1|2]), (174,175,[4_1|2]), (174,374,[4_1|2]), (174,377,[4_1|2]), (174,390,[4_1|2]), (174,407,[0_1|2]), (174,583,[4_1|3]), (175,114,[2_1|2]), (175,167,[2_1|2]), (175,176,[2_1|2]), (175,197,[2_1|2]), (175,210,[2_1|2]), (175,228,[2_1|2]), (175,321,[2_1|2]), (175,327,[2_1|2]), (175,426,[2_1|2]), (175,433,[2_1|2]), (175,439,[2_1|2]), (175,455,[2_1|2]), (175,268,[2_1|2]), (176,177,[0_1|2]), (176,167,[2_1|2]), (177,114,[0_1|2]), (177,128,[0_1|2]), (177,150,[0_1|2]), (177,178,[0_1|2]), (177,279,[0_1|2]), (177,285,[0_1|2]), (177,296,[0_1|2]), (177,407,[0_1|2]), (177,158,[0_1|2]), (177,359,[0_1|2]), (177,130,[3_1|2]), (177,147,[5_1|2]), (177,157,[3_1|2]), (177,167,[2_1|2]), (177,548,[0_1|3]), (178,179,[5_1|2]), (179,180,[4_1|2]), (180,181,[2_1|2]), (181,182,[0_1|2]), (182,183,[0_1|2]), (183,184,[3_1|2]), (184,185,[0_1|2]), (185,186,[0_1|2]), (186,187,[1_1|2]), (187,188,[1_1|2]), (188,189,[2_1|2]), (189,190,[3_1|2]), (190,191,[1_1|2]), (191,192,[5_1|2]), (192,193,[1_1|2]), (193,194,[2_1|2]), (193,433,[2_1|2]), (193,555,[2_1|3]), (194,195,[4_1|2]), (194,407,[0_1|2]), (195,196,[2_1|2]), (196,114,[0_1|2]), (196,128,[0_1|2]), (196,150,[0_1|2]), (196,178,[0_1|2]), (196,279,[0_1|2]), (196,285,[0_1|2]), (196,296,[0_1|2]), (196,407,[0_1|2]), (196,177,[0_1|2]), (196,434,[0_1|2]), (196,456,[0_1|2]), (196,130,[3_1|2]), (196,147,[5_1|2]), (196,157,[3_1|2]), (196,167,[2_1|2]), (196,548,[0_1|3]), (197,198,[1_1|2]), (198,199,[5_1|2]), (199,200,[4_1|2]), (200,201,[4_1|2]), (201,202,[0_1|2]), (202,203,[1_1|2]), (203,204,[1_1|2]), (204,205,[3_1|2]), (205,206,[3_1|2]), (206,207,[1_1|2]), (207,208,[1_1|2]), (208,209,[4_1|2]), (209,114,[5_1|2]), (209,147,[5_1|2]), (209,367,[5_1|2]), (209,474,[5_1|2]), (209,486,[5_1|2]), (209,503,[5_1|2]), (210,211,[1_1|2]), (211,212,[3_1|2]), (212,213,[3_1|2]), (213,214,[5_1|2]), (214,215,[1_1|2]), (215,216,[0_1|2]), (216,114,[5_1|2]), (216,130,[5_1|2]), (216,157,[5_1|2]), (216,217,[5_1|2]), (216,267,[5_1|2]), (216,269,[5_1|2]), (216,358,[5_1|2]), (216,218,[5_1|2]), (216,474,[5_1|2]), (216,486,[5_1|2]), (216,503,[5_1|2]), (217,218,[3_1|2]), (218,219,[3_1|2]), (219,220,[1_1|2]), (220,221,[0_1|2]), (221,222,[0_1|2]), (222,223,[5_1|2]), (223,224,[4_1|2]), (223,428,[4_1|2]), (223,561,[4_1|3]), (224,225,[4_1|2]), (225,226,[4_1|2]), (226,227,[4_1|2]), (227,114,[5_1|2]), (227,128,[5_1|2]), (227,150,[5_1|2]), (227,178,[5_1|2]), (227,279,[5_1|2]), (227,285,[5_1|2]), (227,296,[5_1|2]), (227,407,[5_1|2]), (227,474,[5_1|2]), (227,486,[5_1|2]), (227,503,[5_1|2]), (228,229,[3_1|2]), (229,230,[1_1|2]), (229,566,[2_1|3]), (230,231,[0_1|2]), (231,232,[3_1|2]), (232,233,[0_1|2]), (233,234,[2_1|2]), (234,235,[1_1|2]), (235,236,[0_1|2]), (236,237,[1_1|2]), (237,238,[5_1|2]), (237,503,[5_1|2]), (238,114,[0_1|2]), (238,239,[0_1|2]), (238,372,[0_1|2]), (238,374,[0_1|2]), (238,377,[0_1|2]), (238,390,[0_1|2]), (238,428,[0_1|2]), (238,373,[0_1|2]), (238,375,[0_1|2]), (238,391,[0_1|2]), (238,128,[0_1|2]), (238,130,[3_1|2]), (238,147,[5_1|2]), (238,150,[0_1|2]), (238,157,[3_1|2]), (238,167,[2_1|2]), (238,548,[0_1|3]), (238,576,[5_1|3]), (239,240,[5_1|2]), (240,241,[3_1|2]), (241,242,[1_1|2]), (242,243,[1_1|2]), (243,244,[3_1|2]), (244,245,[4_1|2]), (245,246,[4_1|2]), (246,247,[1_1|2]), (247,248,[3_1|2]), (248,114,[5_1|2]), (248,128,[5_1|2]), (248,150,[5_1|2]), (248,178,[5_1|2]), (248,279,[5_1|2]), (248,285,[5_1|2]), (248,296,[5_1|2]), (248,407,[5_1|2]), (248,474,[5_1|2]), (248,486,[5_1|2]), (248,503,[5_1|2]), (249,250,[4_1|2]), (250,251,[5_1|2]), (251,252,[0_1|2]), (252,253,[1_1|2]), (253,254,[5_1|2]), (254,255,[3_1|2]), (255,256,[4_1|2]), (256,257,[4_1|2]), (257,258,[2_1|2]), (258,259,[1_1|2]), (259,260,[2_1|2]), (260,261,[1_1|2]), (261,262,[4_1|2]), (262,263,[3_1|2]), (263,264,[3_1|2]), (264,265,[3_1|2]), (264,338,[1_1|2]), (265,266,[2_1|2]), (265,455,[2_1|2]), (266,114,[3_1|2]), (266,147,[3_1|2]), (266,367,[3_1|2]), (266,474,[3_1|2]), (266,486,[3_1|2]), (266,503,[3_1|2]), (266,267,[3_1|2]), (266,269,[3_1|2]), (266,279,[0_1|2]), (266,282,[1_1|2]), (266,285,[0_1|2]), (266,296,[0_1|2]), (266,305,[1_1|2]), (266,321,[2_1|2]), (266,327,[2_1|2]), (266,338,[1_1|2]), (266,358,[3_1|2]), (266,590,[3_1|3]), (267,268,[2_1|2]), (267,455,[2_1|2]), (268,114,[3_1|2]), (268,128,[3_1|2]), (268,150,[3_1|2]), (268,178,[3_1|2]), (268,279,[3_1|2, 0_1|2]), (268,285,[3_1|2, 0_1|2]), (268,296,[3_1|2, 0_1|2]), (268,407,[3_1|2]), (268,267,[3_1|2]), (268,269,[3_1|2]), (268,282,[1_1|2]), (268,305,[1_1|2]), (268,321,[2_1|2]), (268,327,[2_1|2]), (268,338,[1_1|2]), (268,358,[3_1|2]), (268,590,[3_1|3]), (269,270,[1_1|2]), (270,271,[2_1|2]), (271,272,[3_1|2]), (272,273,[5_1|2]), (273,274,[0_1|2]), (274,275,[4_1|2]), (275,276,[2_1|2]), (276,277,[2_1|2]), (277,278,[4_1|2]), (277,428,[4_1|2]), (277,561,[4_1|3]), (277,568,[4_1|3]), (277,377,[4_1|2]), (278,114,[4_1|2]), (278,239,[4_1|2]), (278,372,[4_1|2]), (278,374,[4_1|2]), (278,377,[4_1|2]), (278,390,[4_1|2]), (278,428,[4_1|2]), (278,427,[4_1|2]), (278,365,[1_1|2]), (278,367,[5_1|2]), (278,407,[0_1|2]), (278,426,[2_1|2]), (278,568,[4_1|3]), (278,550,[1_1|3]), (279,280,[4_1|2]), (279,407,[0_1|2]), (280,281,[2_1|2]), (281,114,[0_1|2]), (281,130,[0_1|2, 3_1|2]), (281,157,[0_1|2, 3_1|2]), (281,217,[0_1|2]), (281,267,[0_1|2]), (281,269,[0_1|2]), (281,358,[0_1|2]), (281,475,[0_1|2]), (281,128,[0_1|2]), (281,147,[5_1|2]), (281,150,[0_1|2]), (281,167,[2_1|2]), (281,548,[0_1|3]), (282,283,[4_1|2]), (283,284,[4_1|2]), (283,372,[4_1|2]), (283,568,[4_1|3]), (283,407,[0_1|2]), (284,114,[1_1|2]), (284,128,[1_1|2]), (284,150,[1_1|2]), (284,178,[1_1|2, 0_1|2]), (284,279,[1_1|2]), (284,285,[1_1|2]), (284,296,[1_1|2]), (284,407,[1_1|2]), (284,158,[1_1|2]), (284,359,[1_1|2]), (284,476,[1_1|2]), (284,176,[2_1|2]), (284,197,[2_1|2]), (284,210,[2_1|2]), (284,217,[3_1|2]), (284,228,[2_1|2]), (284,239,[4_1|2]), (284,249,[1_1|2]), (284,586,[2_1|3]), (285,286,[1_1|2]), (286,287,[1_1|2]), (287,288,[1_1|2]), (288,289,[5_1|2]), (289,290,[2_1|2]), (290,291,[5_1|2]), (291,292,[4_1|2]), (292,293,[3_1|2]), (293,294,[2_1|2]), (294,295,[4_1|2]), (295,114,[5_1|2]), (295,128,[5_1|2]), (295,150,[5_1|2]), (295,178,[5_1|2]), (295,279,[5_1|2]), (295,285,[5_1|2]), (295,296,[5_1|2]), (295,407,[5_1|2]), (295,474,[5_1|2]), (295,486,[5_1|2]), (295,503,[5_1|2]), (296,297,[0_1|2]), (297,298,[3_1|2]), (298,299,[1_1|2]), (299,300,[0_1|2]), (300,301,[0_1|2]), (301,302,[2_1|2]), (302,303,[1_1|2]), (303,304,[1_1|2]), (303,228,[2_1|2]), (304,114,[4_1|2]), (304,239,[4_1|2]), (304,372,[4_1|2]), (304,374,[4_1|2]), (304,377,[4_1|2]), (304,390,[4_1|2]), (304,428,[4_1|2]), (304,250,[4_1|2]), (304,283,[4_1|2]), (304,365,[1_1|2]), (304,367,[5_1|2]), (304,407,[0_1|2]), (304,426,[2_1|2]), (304,568,[4_1|3]), (305,306,[0_1|2]), (306,307,[0_1|2]), (307,308,[0_1|2]), (308,309,[2_1|2]), (309,310,[4_1|2]), (310,311,[0_1|2]), (311,312,[3_1|2]), (312,313,[5_1|2]), (313,314,[0_1|2]), (314,315,[2_1|2]), (315,316,[4_1|2]), (316,317,[5_1|2]), (317,318,[0_1|2]), (318,319,[4_1|2]), (319,320,[5_1|2]), (320,114,[1_1|2]), (320,249,[1_1|2]), (320,282,[1_1|2]), (320,305,[1_1|2]), (320,338,[1_1|2]), (320,365,[1_1|2]), (320,148,[1_1|2]), (320,487,[1_1|2]), (320,176,[2_1|2]), (320,178,[0_1|2]), (320,197,[2_1|2]), (320,210,[2_1|2]), (320,217,[3_1|2]), (320,228,[2_1|2]), (320,239,[4_1|2]), (321,322,[2_1|2]), (322,323,[1_1|2]), (323,324,[4_1|2]), (324,325,[5_1|2]), (325,326,[1_1|2]), (325,239,[4_1|2]), (325,249,[1_1|2]), (326,114,[5_1|2]), (326,239,[5_1|2]), (326,372,[5_1|2]), (326,374,[5_1|2]), (326,377,[5_1|2]), (326,390,[5_1|2]), (326,428,[5_1|2]), (326,250,[5_1|2]), (326,283,[5_1|2]), (326,474,[5_1|2]), (326,486,[5_1|2]), (326,503,[5_1|2]), (327,328,[3_1|2]), (328,329,[3_1|2]), (329,330,[4_1|2]), (330,331,[0_1|2]), (331,332,[5_1|2]), (332,333,[0_1|2]), (333,334,[0_1|2]), (334,335,[2_1|2]), (335,336,[2_1|2]), (336,337,[1_1|2]), (336,228,[2_1|2]), (337,114,[4_1|2]), (337,167,[4_1|2]), (337,176,[4_1|2]), (337,197,[4_1|2]), (337,210,[4_1|2]), (337,228,[4_1|2]), (337,321,[4_1|2]), (337,327,[4_1|2]), (337,426,[4_1|2, 2_1|2]), (337,433,[4_1|2]), (337,439,[4_1|2]), (337,455,[4_1|2]), (337,365,[1_1|2]), (337,367,[5_1|2]), (337,372,[4_1|2]), (337,374,[4_1|2]), (337,377,[4_1|2]), (337,390,[4_1|2]), (337,407,[0_1|2]), (337,428,[4_1|2]), (337,568,[4_1|3]), (338,339,[3_1|2]), (339,340,[4_1|2]), (340,341,[0_1|2]), (341,342,[0_1|2]), (342,343,[4_1|2]), (343,344,[3_1|2]), (344,345,[4_1|2]), (345,346,[3_1|2]), (346,347,[1_1|2]), (347,348,[3_1|2]), (348,349,[0_1|2]), (349,350,[0_1|2]), (350,351,[4_1|2]), (351,352,[5_1|2]), (352,353,[3_1|2]), (353,354,[1_1|2]), (354,355,[4_1|2]), (354,570,[2_1|3]), (355,356,[3_1|2]), (356,357,[4_1|2]), (356,428,[4_1|2]), (356,561,[4_1|3]), (356,568,[4_1|3]), (356,377,[4_1|2]), (357,114,[4_1|2]), (357,239,[4_1|2]), (357,372,[4_1|2]), (357,374,[4_1|2]), (357,377,[4_1|2]), (357,390,[4_1|2]), (357,428,[4_1|2]), (357,280,[4_1|2]), (357,365,[1_1|2]), (357,367,[5_1|2]), (357,407,[0_1|2]), (357,426,[2_1|2]), (357,568,[4_1|3]), (358,359,[0_1|2]), (359,360,[3_1|2]), (360,361,[4_1|2]), (361,362,[0_1|2]), (362,363,[2_1|2]), (363,364,[0_1|2]), (363,167,[2_1|2]), (364,114,[0_1|2]), (364,147,[0_1|2, 5_1|2]), (364,367,[0_1|2]), (364,474,[0_1|2]), (364,486,[0_1|2]), (364,503,[0_1|2]), (364,151,[0_1|2]), (364,179,[0_1|2]), (364,128,[0_1|2]), (364,130,[3_1|2]), (364,150,[0_1|2]), (364,157,[3_1|2]), (364,167,[2_1|2]), (364,548,[0_1|3]), (365,366,[0_1|2]), (365,157,[3_1|2]), (366,114,[2_1|2]), (366,130,[2_1|2]), (366,157,[2_1|2]), (366,217,[2_1|2]), (366,267,[2_1|2]), (366,269,[2_1|2]), (366,358,[2_1|2]), (366,218,[2_1|2]), (366,433,[2_1|2]), (366,439,[2_1|2]), (366,455,[2_1|2]), (367,368,[2_1|2]), (368,369,[3_1|2]), (369,370,[0_1|2]), (370,371,[2_1|2]), (371,114,[1_1|2]), (371,239,[1_1|2, 4_1|2]), (371,372,[1_1|2]), (371,374,[1_1|2]), (371,377,[1_1|2]), (371,390,[1_1|2]), (371,428,[1_1|2]), (371,427,[1_1|2]), (371,176,[2_1|2]), (371,178,[0_1|2]), (371,197,[2_1|2]), (371,210,[2_1|2]), (371,217,[3_1|2]), (371,228,[2_1|2]), (371,249,[1_1|2]), (371,588,[2_1|3]), (372,373,[4_1|2]), (373,114,[5_1|2]), (373,128,[5_1|2]), (373,150,[5_1|2]), (373,178,[5_1|2]), (373,279,[5_1|2]), (373,285,[5_1|2]), (373,296,[5_1|2]), (373,407,[5_1|2]), (373,158,[5_1|2]), (373,359,[5_1|2]), (373,474,[5_1|2]), (373,486,[5_1|2]), (373,503,[5_1|2]), (374,375,[4_1|2]), (374,426,[2_1|2]), (374,570,[2_1|3]), (375,376,[3_1|2]), (375,358,[3_1|2]), (376,114,[4_1|2]), (376,239,[4_1|2]), (376,372,[4_1|2]), (376,374,[4_1|2]), (376,377,[4_1|2]), (376,390,[4_1|2]), (376,428,[4_1|2]), (376,365,[1_1|2]), (376,367,[5_1|2]), (376,407,[0_1|2]), (376,426,[2_1|2]), (376,568,[4_1|3]), (377,378,[5_1|2]), (378,379,[2_1|2]), (379,380,[3_1|2]), (380,381,[2_1|2]), (381,382,[3_1|2]), (382,383,[1_1|2]), (383,384,[4_1|2]), (384,385,[5_1|2]), (385,386,[0_1|2]), (386,387,[2_1|2]), (387,388,[0_1|2]), (388,389,[5_1|2]), (389,114,[2_1|2]), (389,128,[2_1|2]), (389,150,[2_1|2]), (389,178,[2_1|2]), (389,279,[2_1|2]), (389,285,[2_1|2]), (389,296,[2_1|2]), (389,407,[2_1|2]), (389,177,[2_1|2]), (389,434,[2_1|2]), (389,456,[2_1|2]), (389,433,[2_1|2]), (389,439,[2_1|2]), (389,455,[2_1|2]), (389,555,[2_1|3]), (390,391,[4_1|2]), (391,392,[1_1|2]), (392,393,[3_1|2]), (393,394,[4_1|2]), (394,395,[0_1|2]), (395,396,[1_1|2]), (396,397,[4_1|2]), (397,398,[3_1|2]), (398,399,[5_1|2]), (399,400,[4_1|2]), (400,401,[4_1|2]), (401,402,[1_1|2]), (402,403,[0_1|2]), (403,404,[0_1|2]), (404,405,[5_1|2]), (405,406,[1_1|2]), (405,210,[2_1|2]), (405,217,[3_1|2]), (406,114,[2_1|2]), (406,147,[2_1|2]), (406,367,[2_1|2]), (406,474,[2_1|2]), (406,486,[2_1|2]), (406,503,[2_1|2]), (406,433,[2_1|2]), (406,439,[2_1|2]), (406,455,[2_1|2]), (407,408,[0_1|2]), (408,409,[0_1|2]), (409,410,[3_1|2]), (410,411,[0_1|2]), (411,412,[4_1|2]), (412,413,[4_1|2]), (413,414,[3_1|2]), (414,415,[0_1|2]), (415,416,[4_1|2]), (415,572,[4_1|3]), (416,417,[1_1|2]), (417,418,[3_1|2]), (418,419,[0_1|2]), (418,574,[0_1|3]), (419,420,[1_1|2]), (420,421,[0_1|2]), (421,422,[0_1|2]), (422,423,[4_1|2]), (423,424,[4_1|2]), (424,425,[5_1|2]), (425,114,[3_1|2]), (425,130,[3_1|2]), (425,157,[3_1|2]), (425,217,[3_1|2]), (425,267,[3_1|2]), (425,269,[3_1|2]), (425,358,[3_1|2]), (425,475,[3_1|2]), (425,279,[0_1|2]), (425,282,[1_1|2]), (425,285,[0_1|2]), (425,296,[0_1|2]), (425,305,[1_1|2]), (425,321,[2_1|2]), (425,327,[2_1|2]), (425,338,[1_1|2]), (425,590,[3_1|3]), (426,427,[4_1|2]), (426,365,[1_1|2]), (426,367,[5_1|2]), (426,550,[1_1|3]), (427,114,[0_1|2]), (427,128,[0_1|2]), (427,150,[0_1|2]), (427,178,[0_1|2]), (427,279,[0_1|2]), (427,285,[0_1|2]), (427,296,[0_1|2]), (427,407,[0_1|2]), (427,130,[3_1|2]), (427,147,[5_1|2]), (427,157,[3_1|2]), (427,167,[2_1|2]), (427,548,[0_1|3]), (428,429,[5_1|2]), (429,430,[5_1|2]), (430,431,[2_1|2]), (431,432,[4_1|2]), (431,428,[4_1|2]), (431,561,[4_1|3]), (431,568,[4_1|3]), (431,377,[4_1|2]), (432,114,[4_1|2]), (432,128,[4_1|2]), (432,150,[4_1|2]), (432,178,[4_1|2]), (432,279,[4_1|2]), (432,285,[4_1|2]), (432,296,[4_1|2]), (432,407,[4_1|2, 0_1|2]), (432,365,[1_1|2]), (432,367,[5_1|2]), (432,372,[4_1|2]), (432,374,[4_1|2]), (432,377,[4_1|2]), (432,390,[4_1|2]), (432,426,[2_1|2]), (432,428,[4_1|2]), (432,297,[4_1|2]), (432,408,[4_1|2]), (432,159,[4_1|2]), (432,568,[4_1|3]), (433,434,[0_1|2]), (434,435,[1_1|2]), (435,436,[3_1|2]), (435,590,[3_1|3]), (436,437,[3_1|2]), (436,282,[1_1|2]), (436,285,[0_1|2]), (436,552,[1_1|3]), (437,438,[3_1|2]), (438,114,[5_1|2]), (438,147,[5_1|2]), (438,367,[5_1|2]), (438,474,[5_1|2]), (438,486,[5_1|2]), (438,503,[5_1|2]), (438,199,[5_1|2]), (439,440,[2_1|2]), (440,441,[3_1|2]), (441,442,[0_1|2]), (442,443,[4_1|2]), (443,444,[5_1|2]), (444,445,[5_1|2]), (445,446,[5_1|2]), (446,447,[1_1|2]), (447,448,[4_1|2]), (448,449,[3_1|2]), (449,450,[1_1|2]), (450,451,[3_1|2]), (451,452,[4_1|2]), (452,453,[1_1|2]), (453,454,[1_1|2]), (453,210,[2_1|2]), (453,217,[3_1|2]), (454,114,[2_1|2]), (454,239,[2_1|2]), (454,372,[2_1|2]), (454,374,[2_1|2]), (454,377,[2_1|2]), (454,390,[2_1|2]), (454,428,[2_1|2]), (454,340,[2_1|2]), (454,433,[2_1|2]), (454,439,[2_1|2]), (454,455,[2_1|2]), (455,456,[0_1|2]), (456,457,[1_1|2]), (457,458,[5_1|2]), (458,459,[3_1|2]), (459,460,[2_1|2]), (460,461,[0_1|2]), (461,462,[2_1|2]), (462,463,[5_1|2]), (463,464,[1_1|2]), (464,465,[2_1|2]), (465,466,[4_1|2]), (466,467,[5_1|2]), (467,468,[3_1|2]), (468,469,[4_1|2]), (469,470,[4_1|2]), (470,471,[4_1|2]), (471,472,[0_1|2]), (471,147,[5_1|2]), (471,576,[5_1|3]), (472,473,[4_1|2]), (473,114,[5_1|2]), (473,239,[5_1|2]), (473,372,[5_1|2]), (473,374,[5_1|2]), (473,377,[5_1|2]), (473,390,[5_1|2]), (473,428,[5_1|2]), (473,250,[5_1|2]), (473,283,[5_1|2]), (473,474,[5_1|2]), (473,486,[5_1|2]), (473,503,[5_1|2]), (474,475,[3_1|2]), (475,476,[0_1|2]), (476,477,[5_1|2]), (477,478,[3_1|2]), (478,479,[5_1|2]), (479,480,[1_1|2]), (480,481,[5_1|2]), (481,482,[1_1|2]), (482,483,[4_1|2]), (483,484,[4_1|2]), (484,485,[1_1|2]), (485,114,[1_1|2]), (485,249,[1_1|2]), (485,282,[1_1|2]), (485,305,[1_1|2]), (485,338,[1_1|2]), (485,365,[1_1|2]), (485,176,[2_1|2]), (485,178,[0_1|2]), (485,197,[2_1|2]), (485,210,[2_1|2]), (485,217,[3_1|2]), (485,228,[2_1|2]), (485,239,[4_1|2]), (486,487,[1_1|2]), (487,488,[5_1|2]), (488,489,[5_1|2]), (489,490,[4_1|2]), (490,491,[0_1|2]), (491,492,[0_1|2]), (492,493,[3_1|2]), (493,494,[1_1|2]), (494,495,[3_1|2]), (495,496,[2_1|2]), (496,497,[4_1|2]), (497,498,[4_1|2]), (498,499,[1_1|2]), (499,500,[1_1|2]), (500,501,[4_1|2]), (500,550,[1_1|3]), (501,502,[0_1|2]), (501,128,[0_1|2]), (501,130,[3_1|2]), (501,579,[0_1|3]), (502,114,[1_1|2]), (502,130,[1_1|2]), (502,157,[1_1|2]), (502,217,[1_1|2, 3_1|2]), (502,267,[1_1|2]), (502,269,[1_1|2]), (502,358,[1_1|2]), (502,176,[2_1|2]), (502,178,[0_1|2]), (502,197,[2_1|2]), (502,210,[2_1|2]), (502,228,[2_1|2]), (502,239,[4_1|2]), (502,249,[1_1|2]), (503,504,[4_1|2]), (504,505,[3_1|2]), (505,506,[4_1|2]), (506,507,[5_1|2]), (507,508,[4_1|2]), (508,509,[2_1|2]), (509,510,[5_1|2]), (510,511,[4_1|2]), (511,512,[1_1|2]), (512,513,[4_1|2]), (513,514,[4_1|2]), (513,581,[4_1|3]), (514,515,[1_1|2]), (515,516,[3_1|2]), (516,517,[0_1|2]), (517,518,[2_1|2]), (518,519,[2_1|2]), (519,520,[1_1|2]), (520,521,[2_1|2]), (521,114,[0_1|2]), (521,239,[0_1|2]), (521,372,[0_1|2]), (521,374,[0_1|2]), (521,377,[0_1|2]), (521,390,[0_1|2]), (521,428,[0_1|2]), (521,427,[0_1|2]), (521,128,[0_1|2]), (521,130,[3_1|2]), (521,147,[5_1|2]), (521,150,[0_1|2]), (521,157,[3_1|2]), (521,167,[2_1|2]), (521,548,[0_1|3]), (521,576,[5_1|3]), (548,549,[2_1|3]), (549,307,[0_1|3]), (550,551,[0_1|3]), (551,218,[2_1|3]), (552,553,[4_1|3]), (553,554,[4_1|3]), (554,158,[1_1|3]), (554,359,[1_1|3]), (554,476,[1_1|3]), (554,586,[2_1|3]), (555,556,[0_1|3]), (556,557,[1_1|3]), (557,558,[3_1|3]), (558,559,[3_1|3]), (559,560,[3_1|3]), (560,199,[5_1|3]), (561,562,[5_1|3]), (562,563,[5_1|3]), (563,564,[2_1|3]), (564,565,[4_1|3]), (565,128,[4_1|3]), (565,150,[4_1|3]), (565,178,[4_1|3]), (565,279,[4_1|3]), (565,285,[4_1|3]), (565,296,[4_1|3]), (565,407,[4_1|3, 0_1|2]), (565,297,[4_1|3]), (565,408,[4_1|3]), (565,159,[4_1|3]), (566,567,[0_1|3]), (567,233,[0_1|3]), (568,569,[4_1|3]), (569,158,[5_1|3]), (569,359,[5_1|3]), (570,571,[4_1|3]), (571,128,[0_1|3]), (571,150,[0_1|3]), (571,178,[0_1|3]), (571,279,[0_1|3]), (571,285,[0_1|3]), (571,296,[0_1|3]), (571,407,[0_1|3]), (572,573,[4_1|3]), (573,419,[5_1|3]), (573,574,[5_1|3]), (574,575,[2_1|3]), (575,422,[0_1|3]), (576,577,[1_1|3]), (577,578,[2_1|3]), (578,427,[0_1|3]), (578,571,[0_1|3]), (578,167,[2_1|2]), (579,580,[2_1|3]), (580,297,[0_1|3]), (580,408,[0_1|3]), (580,407,[0_1|3]), (580,159,[0_1|3]), (581,582,[4_1|3]), (582,517,[5_1|3]), (583,584,[4_1|3]), (584,585,[3_1|3]), (585,239,[4_1|3]), (585,372,[4_1|3]), (585,374,[4_1|3]), (585,377,[4_1|3, 4_1|2]), (585,390,[4_1|3]), (585,428,[4_1|3]), (585,280,[4_1|3]), (585,407,[0_1|2]), (586,587,[0_1|3]), (587,161,[0_1|3]), (588,589,[0_1|3]), (589,158,[0_1|3]), (589,359,[0_1|3]), (590,591,[2_1|3]), (591,407,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)