/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 49 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 133 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(2(0(x1)))) -> 0(1(0(x1))) 2(3(4(4(x1)))) -> 0(3(4(x1))) 2(2(4(3(2(5(2(x1))))))) -> 0(3(0(0(0(x1))))) 3(2(2(0(4(1(3(0(x1)))))))) -> 3(4(2(0(1(0(5(0(x1)))))))) 2(2(2(3(0(1(2(2(5(x1))))))))) -> 0(1(1(1(3(5(2(5(x1)))))))) 3(0(4(3(1(1(0(1(1(x1))))))))) -> 3(4(1(2(3(3(4(3(x1)))))))) 2(4(2(0(3(5(0(3(2(4(x1)))))))))) -> 0(0(0(1(0(1(3(2(x1)))))))) 4(2(3(3(1(0(5(2(5(3(x1)))))))))) -> 5(4(4(0(2(0(0(4(3(x1))))))))) 4(3(2(0(1(5(0(3(0(5(x1)))))))))) -> 4(4(1(2(5(5(2(4(2(1(x1)))))))))) 0(3(3(1(3(0(3(4(5(0(5(x1))))))))))) -> 0(3(4(1(5(2(0(2(1(3(x1)))))))))) 5(3(4(0(4(4(0(5(2(2(0(x1))))))))))) -> 5(4(5(3(1(0(0(4(5(2(x1)))))))))) 2(1(5(1(2(4(2(2(2(1(5(1(x1)))))))))))) -> 2(1(3(2(5(1(2(0(2(3(4(x1))))))))))) 2(2(5(5(1(2(1(5(5(5(3(0(2(x1))))))))))))) -> 4(4(4(1(1(4(1(5(5(1(2(x1))))))))))) 3(3(5(1(5(4(2(3(2(1(0(0(2(0(x1)))))))))))))) -> 4(3(0(3(5(1(1(3(1(5(4(3(1(x1))))))))))))) 2(3(3(0(3(3(3(1(4(2(0(5(4(1(2(2(x1)))))))))))))))) -> 3(5(1(0(3(0(3(3(4(5(4(2(2(5(1(x1))))))))))))))) 3(5(4(3(2(3(0(3(5(2(4(4(1(0(5(4(x1)))))))))))))))) -> 3(5(4(5(0(5(1(0(2(3(3(4(5(2(2(2(4(x1))))))))))))))))) 4(1(1(4(5(2(4(1(4(2(5(3(5(2(0(0(x1)))))))))))))))) -> 4(3(0(2(3(3(5(4(4(0(0(0(5(4(2(3(x1)))))))))))))))) 4(4(1(2(0(2(0(5(4(3(0(0(1(2(2(2(x1)))))))))))))))) -> 4(5(4(2(4(1(0(4(0(1(1(2(4(4(4(x1))))))))))))))) 0(2(1(1(5(2(5(0(3(5(5(0(3(5(4(2(2(x1))))))))))))))))) -> 4(2(2(5(1(5(1(5(4(4(4(4(0(2(5(3(0(x1))))))))))))))))) 2(5(5(1(0(0(2(1(2(3(5(1(1(1(1(2(2(4(x1)))))))))))))))))) -> 4(3(2(1(5(4(0(3(2(3(5(5(2(4(1(4(x1)))))))))))))))) 2(5(5(3(4(2(0(0(2(0(4(0(4(4(2(5(4(0(x1)))))))))))))))))) -> 5(1(1(4(0(5(5(2(5(0(1(2(4(2(4(4(x1)))))))))))))))) 3(0(1(1(5(1(2(1(0(3(2(3(2(0(3(4(3(4(0(x1))))))))))))))))))) -> 1(5(3(0(5(4(4(0(0(4(1(3(4(3(1(4(1(x1))))))))))))))))) 3(3(5(4(4(1(5(5(2(1(5(4(4(5(1(0(5(3(1(x1))))))))))))))))))) -> 1(0(0(0(1(0(4(5(4(0(2(3(5(3(5(4(4(0(3(x1))))))))))))))))))) 3(5(2(2(4(2(0(3(4(4(3(5(4(4(1(4(5(2(4(x1))))))))))))))))))) -> 4(2(1(2(0(3(2(3(0(3(2(5(1(4(1(2(3(4(x1)))))))))))))))))) 4(0(4(4(5(2(2(0(4(4(0(3(5(3(5(5(0(5(2(x1))))))))))))))))))) -> 5(2(3(3(2(2(0(4(4(1(5(5(3(4(2(3(5(2(x1)))))))))))))))))) 4(2(2(4(3(4(4(3(1(3(2(2(2(0(1(2(5(4(1(x1))))))))))))))))))) -> 5(4(4(5(4(2(0(2(3(2(3(4(2(1(2(1(4(1(x1)))))))))))))))))) 3(3(4(5(1(3(1(3(4(1(4(0(2(2(0(4(2(4(2(2(x1)))))))))))))))))))) -> 1(0(1(4(3(3(4(4(4(3(5(0(1(2(0(2(3(3(x1)))))))))))))))))) 3(5(2(0(2(0(4(5(2(1(4(2(5(0(5(2(5(3(2(5(x1)))))))))))))))))))) -> 1(2(5(4(5(3(3(0(0(5(5(4(4(0(3(0(3(1(x1)))))))))))))))))) 2(3(1(5(2(3(0(3(3(1(3(2(1(3(1(4(3(5(1(5(4(x1))))))))))))))))))))) -> 3(1(1(4(5(4(5(3(4(2(4(5(3(5(4(1(3(4(0(4(x1)))))))))))))))))))) 2(4(1(3(0(5(2(2(2(4(4(5(2(0(3(4(5(1(5(5(0(x1))))))))))))))))))))) -> 4(3(5(4(2(4(5(1(0(2(3(5(5(0(4(4(5(3(3(5(1(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(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(0(x1)))) -> 0(1(0(x1))) 2(3(4(4(x1)))) -> 0(3(4(x1))) 2(2(4(3(2(5(2(x1))))))) -> 0(3(0(0(0(x1))))) 3(2(2(0(4(1(3(0(x1)))))))) -> 3(4(2(0(1(0(5(0(x1)))))))) 2(2(2(3(0(1(2(2(5(x1))))))))) -> 0(1(1(1(3(5(2(5(x1)))))))) 3(0(4(3(1(1(0(1(1(x1))))))))) -> 3(4(1(2(3(3(4(3(x1)))))))) 2(4(2(0(3(5(0(3(2(4(x1)))))))))) -> 0(0(0(1(0(1(3(2(x1)))))))) 4(2(3(3(1(0(5(2(5(3(x1)))))))))) -> 5(4(4(0(2(0(0(4(3(x1))))))))) 4(3(2(0(1(5(0(3(0(5(x1)))))))))) -> 4(4(1(2(5(5(2(4(2(1(x1)))))))))) 0(3(3(1(3(0(3(4(5(0(5(x1))))))))))) -> 0(3(4(1(5(2(0(2(1(3(x1)))))))))) 5(3(4(0(4(4(0(5(2(2(0(x1))))))))))) -> 5(4(5(3(1(0(0(4(5(2(x1)))))))))) 2(1(5(1(2(4(2(2(2(1(5(1(x1)))))))))))) -> 2(1(3(2(5(1(2(0(2(3(4(x1))))))))))) 2(2(5(5(1(2(1(5(5(5(3(0(2(x1))))))))))))) -> 4(4(4(1(1(4(1(5(5(1(2(x1))))))))))) 3(3(5(1(5(4(2(3(2(1(0(0(2(0(x1)))))))))))))) -> 4(3(0(3(5(1(1(3(1(5(4(3(1(x1))))))))))))) 2(3(3(0(3(3(3(1(4(2(0(5(4(1(2(2(x1)))))))))))))))) -> 3(5(1(0(3(0(3(3(4(5(4(2(2(5(1(x1))))))))))))))) 3(5(4(3(2(3(0(3(5(2(4(4(1(0(5(4(x1)))))))))))))))) -> 3(5(4(5(0(5(1(0(2(3(3(4(5(2(2(2(4(x1))))))))))))))))) 4(1(1(4(5(2(4(1(4(2(5(3(5(2(0(0(x1)))))))))))))))) -> 4(3(0(2(3(3(5(4(4(0(0(0(5(4(2(3(x1)))))))))))))))) 4(4(1(2(0(2(0(5(4(3(0(0(1(2(2(2(x1)))))))))))))))) -> 4(5(4(2(4(1(0(4(0(1(1(2(4(4(4(x1))))))))))))))) 0(2(1(1(5(2(5(0(3(5(5(0(3(5(4(2(2(x1))))))))))))))))) -> 4(2(2(5(1(5(1(5(4(4(4(4(0(2(5(3(0(x1))))))))))))))))) 2(5(5(1(0(0(2(1(2(3(5(1(1(1(1(2(2(4(x1)))))))))))))))))) -> 4(3(2(1(5(4(0(3(2(3(5(5(2(4(1(4(x1)))))))))))))))) 2(5(5(3(4(2(0(0(2(0(4(0(4(4(2(5(4(0(x1)))))))))))))))))) -> 5(1(1(4(0(5(5(2(5(0(1(2(4(2(4(4(x1)))))))))))))))) 3(0(1(1(5(1(2(1(0(3(2(3(2(0(3(4(3(4(0(x1))))))))))))))))))) -> 1(5(3(0(5(4(4(0(0(4(1(3(4(3(1(4(1(x1))))))))))))))))) 3(3(5(4(4(1(5(5(2(1(5(4(4(5(1(0(5(3(1(x1))))))))))))))))))) -> 1(0(0(0(1(0(4(5(4(0(2(3(5(3(5(4(4(0(3(x1))))))))))))))))))) 3(5(2(2(4(2(0(3(4(4(3(5(4(4(1(4(5(2(4(x1))))))))))))))))))) -> 4(2(1(2(0(3(2(3(0(3(2(5(1(4(1(2(3(4(x1)))))))))))))))))) 4(0(4(4(5(2(2(0(4(4(0(3(5(3(5(5(0(5(2(x1))))))))))))))))))) -> 5(2(3(3(2(2(0(4(4(1(5(5(3(4(2(3(5(2(x1)))))))))))))))))) 4(2(2(4(3(4(4(3(1(3(2(2(2(0(1(2(5(4(1(x1))))))))))))))))))) -> 5(4(4(5(4(2(0(2(3(2(3(4(2(1(2(1(4(1(x1)))))))))))))))))) 3(3(4(5(1(3(1(3(4(1(4(0(2(2(0(4(2(4(2(2(x1)))))))))))))))))))) -> 1(0(1(4(3(3(4(4(4(3(5(0(1(2(0(2(3(3(x1)))))))))))))))))) 3(5(2(0(2(0(4(5(2(1(4(2(5(0(5(2(5(3(2(5(x1)))))))))))))))))))) -> 1(2(5(4(5(3(3(0(0(5(5(4(4(0(3(0(3(1(x1)))))))))))))))))) 2(3(1(5(2(3(0(3(3(1(3(2(1(3(1(4(3(5(1(5(4(x1))))))))))))))))))))) -> 3(1(1(4(5(4(5(3(4(2(4(5(3(5(4(1(3(4(0(4(x1)))))))))))))))))))) 2(4(1(3(0(5(2(2(2(4(4(5(2(0(3(4(5(1(5(5(0(x1))))))))))))))))))))) -> 4(3(5(4(2(4(5(1(0(2(3(5(5(0(4(4(5(3(3(5(1(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: 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(2(0(x1)))) -> 0(1(0(x1))) 2(3(4(4(x1)))) -> 0(3(4(x1))) 2(2(4(3(2(5(2(x1))))))) -> 0(3(0(0(0(x1))))) 3(2(2(0(4(1(3(0(x1)))))))) -> 3(4(2(0(1(0(5(0(x1)))))))) 2(2(2(3(0(1(2(2(5(x1))))))))) -> 0(1(1(1(3(5(2(5(x1)))))))) 3(0(4(3(1(1(0(1(1(x1))))))))) -> 3(4(1(2(3(3(4(3(x1)))))))) 2(4(2(0(3(5(0(3(2(4(x1)))))))))) -> 0(0(0(1(0(1(3(2(x1)))))))) 4(2(3(3(1(0(5(2(5(3(x1)))))))))) -> 5(4(4(0(2(0(0(4(3(x1))))))))) 4(3(2(0(1(5(0(3(0(5(x1)))))))))) -> 4(4(1(2(5(5(2(4(2(1(x1)))))))))) 0(3(3(1(3(0(3(4(5(0(5(x1))))))))))) -> 0(3(4(1(5(2(0(2(1(3(x1)))))))))) 5(3(4(0(4(4(0(5(2(2(0(x1))))))))))) -> 5(4(5(3(1(0(0(4(5(2(x1)))))))))) 2(1(5(1(2(4(2(2(2(1(5(1(x1)))))))))))) -> 2(1(3(2(5(1(2(0(2(3(4(x1))))))))))) 2(2(5(5(1(2(1(5(5(5(3(0(2(x1))))))))))))) -> 4(4(4(1(1(4(1(5(5(1(2(x1))))))))))) 3(3(5(1(5(4(2(3(2(1(0(0(2(0(x1)))))))))))))) -> 4(3(0(3(5(1(1(3(1(5(4(3(1(x1))))))))))))) 2(3(3(0(3(3(3(1(4(2(0(5(4(1(2(2(x1)))))))))))))))) -> 3(5(1(0(3(0(3(3(4(5(4(2(2(5(1(x1))))))))))))))) 3(5(4(3(2(3(0(3(5(2(4(4(1(0(5(4(x1)))))))))))))))) -> 3(5(4(5(0(5(1(0(2(3(3(4(5(2(2(2(4(x1))))))))))))))))) 4(1(1(4(5(2(4(1(4(2(5(3(5(2(0(0(x1)))))))))))))))) -> 4(3(0(2(3(3(5(4(4(0(0(0(5(4(2(3(x1)))))))))))))))) 4(4(1(2(0(2(0(5(4(3(0(0(1(2(2(2(x1)))))))))))))))) -> 4(5(4(2(4(1(0(4(0(1(1(2(4(4(4(x1))))))))))))))) 0(2(1(1(5(2(5(0(3(5(5(0(3(5(4(2(2(x1))))))))))))))))) -> 4(2(2(5(1(5(1(5(4(4(4(4(0(2(5(3(0(x1))))))))))))))))) 2(5(5(1(0(0(2(1(2(3(5(1(1(1(1(2(2(4(x1)))))))))))))))))) -> 4(3(2(1(5(4(0(3(2(3(5(5(2(4(1(4(x1)))))))))))))))) 2(5(5(3(4(2(0(0(2(0(4(0(4(4(2(5(4(0(x1)))))))))))))))))) -> 5(1(1(4(0(5(5(2(5(0(1(2(4(2(4(4(x1)))))))))))))))) 3(0(1(1(5(1(2(1(0(3(2(3(2(0(3(4(3(4(0(x1))))))))))))))))))) -> 1(5(3(0(5(4(4(0(0(4(1(3(4(3(1(4(1(x1))))))))))))))))) 3(3(5(4(4(1(5(5(2(1(5(4(4(5(1(0(5(3(1(x1))))))))))))))))))) -> 1(0(0(0(1(0(4(5(4(0(2(3(5(3(5(4(4(0(3(x1))))))))))))))))))) 3(5(2(2(4(2(0(3(4(4(3(5(4(4(1(4(5(2(4(x1))))))))))))))))))) -> 4(2(1(2(0(3(2(3(0(3(2(5(1(4(1(2(3(4(x1)))))))))))))))))) 4(0(4(4(5(2(2(0(4(4(0(3(5(3(5(5(0(5(2(x1))))))))))))))))))) -> 5(2(3(3(2(2(0(4(4(1(5(5(3(4(2(3(5(2(x1)))))))))))))))))) 4(2(2(4(3(4(4(3(1(3(2(2(2(0(1(2(5(4(1(x1))))))))))))))))))) -> 5(4(4(5(4(2(0(2(3(2(3(4(2(1(2(1(4(1(x1)))))))))))))))))) 3(3(4(5(1(3(1(3(4(1(4(0(2(2(0(4(2(4(2(2(x1)))))))))))))))))))) -> 1(0(1(4(3(3(4(4(4(3(5(0(1(2(0(2(3(3(x1)))))))))))))))))) 3(5(2(0(2(0(4(5(2(1(4(2(5(0(5(2(5(3(2(5(x1)))))))))))))))))))) -> 1(2(5(4(5(3(3(0(0(5(5(4(4(0(3(0(3(1(x1)))))))))))))))))) 2(3(1(5(2(3(0(3(3(1(3(2(1(3(1(4(3(5(1(5(4(x1))))))))))))))))))))) -> 3(1(1(4(5(4(5(3(4(2(4(5(3(5(4(1(3(4(0(4(x1)))))))))))))))))))) 2(4(1(3(0(5(2(2(2(4(4(5(2(0(3(4(5(1(5(5(0(x1))))))))))))))))))))) -> 4(3(5(4(2(4(5(1(0(2(3(5(5(0(4(4(5(3(3(5(1(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: 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(2(0(x1)))) -> 0(1(0(x1))) 2(3(4(4(x1)))) -> 0(3(4(x1))) 2(2(4(3(2(5(2(x1))))))) -> 0(3(0(0(0(x1))))) 3(2(2(0(4(1(3(0(x1)))))))) -> 3(4(2(0(1(0(5(0(x1)))))))) 2(2(2(3(0(1(2(2(5(x1))))))))) -> 0(1(1(1(3(5(2(5(x1)))))))) 3(0(4(3(1(1(0(1(1(x1))))))))) -> 3(4(1(2(3(3(4(3(x1)))))))) 2(4(2(0(3(5(0(3(2(4(x1)))))))))) -> 0(0(0(1(0(1(3(2(x1)))))))) 4(2(3(3(1(0(5(2(5(3(x1)))))))))) -> 5(4(4(0(2(0(0(4(3(x1))))))))) 4(3(2(0(1(5(0(3(0(5(x1)))))))))) -> 4(4(1(2(5(5(2(4(2(1(x1)))))))))) 0(3(3(1(3(0(3(4(5(0(5(x1))))))))))) -> 0(3(4(1(5(2(0(2(1(3(x1)))))))))) 5(3(4(0(4(4(0(5(2(2(0(x1))))))))))) -> 5(4(5(3(1(0(0(4(5(2(x1)))))))))) 2(1(5(1(2(4(2(2(2(1(5(1(x1)))))))))))) -> 2(1(3(2(5(1(2(0(2(3(4(x1))))))))))) 2(2(5(5(1(2(1(5(5(5(3(0(2(x1))))))))))))) -> 4(4(4(1(1(4(1(5(5(1(2(x1))))))))))) 3(3(5(1(5(4(2(3(2(1(0(0(2(0(x1)))))))))))))) -> 4(3(0(3(5(1(1(3(1(5(4(3(1(x1))))))))))))) 2(3(3(0(3(3(3(1(4(2(0(5(4(1(2(2(x1)))))))))))))))) -> 3(5(1(0(3(0(3(3(4(5(4(2(2(5(1(x1))))))))))))))) 3(5(4(3(2(3(0(3(5(2(4(4(1(0(5(4(x1)))))))))))))))) -> 3(5(4(5(0(5(1(0(2(3(3(4(5(2(2(2(4(x1))))))))))))))))) 4(1(1(4(5(2(4(1(4(2(5(3(5(2(0(0(x1)))))))))))))))) -> 4(3(0(2(3(3(5(4(4(0(0(0(5(4(2(3(x1)))))))))))))))) 4(4(1(2(0(2(0(5(4(3(0(0(1(2(2(2(x1)))))))))))))))) -> 4(5(4(2(4(1(0(4(0(1(1(2(4(4(4(x1))))))))))))))) 0(2(1(1(5(2(5(0(3(5(5(0(3(5(4(2(2(x1))))))))))))))))) -> 4(2(2(5(1(5(1(5(4(4(4(4(0(2(5(3(0(x1))))))))))))))))) 2(5(5(1(0(0(2(1(2(3(5(1(1(1(1(2(2(4(x1)))))))))))))))))) -> 4(3(2(1(5(4(0(3(2(3(5(5(2(4(1(4(x1)))))))))))))))) 2(5(5(3(4(2(0(0(2(0(4(0(4(4(2(5(4(0(x1)))))))))))))))))) -> 5(1(1(4(0(5(5(2(5(0(1(2(4(2(4(4(x1)))))))))))))))) 3(0(1(1(5(1(2(1(0(3(2(3(2(0(3(4(3(4(0(x1))))))))))))))))))) -> 1(5(3(0(5(4(4(0(0(4(1(3(4(3(1(4(1(x1))))))))))))))))) 3(3(5(4(4(1(5(5(2(1(5(4(4(5(1(0(5(3(1(x1))))))))))))))))))) -> 1(0(0(0(1(0(4(5(4(0(2(3(5(3(5(4(4(0(3(x1))))))))))))))))))) 3(5(2(2(4(2(0(3(4(4(3(5(4(4(1(4(5(2(4(x1))))))))))))))))))) -> 4(2(1(2(0(3(2(3(0(3(2(5(1(4(1(2(3(4(x1)))))))))))))))))) 4(0(4(4(5(2(2(0(4(4(0(3(5(3(5(5(0(5(2(x1))))))))))))))))))) -> 5(2(3(3(2(2(0(4(4(1(5(5(3(4(2(3(5(2(x1)))))))))))))))))) 4(2(2(4(3(4(4(3(1(3(2(2(2(0(1(2(5(4(1(x1))))))))))))))))))) -> 5(4(4(5(4(2(0(2(3(2(3(4(2(1(2(1(4(1(x1)))))))))))))))))) 3(3(4(5(1(3(1(3(4(1(4(0(2(2(0(4(2(4(2(2(x1)))))))))))))))))))) -> 1(0(1(4(3(3(4(4(4(3(5(0(1(2(0(2(3(3(x1)))))))))))))))))) 3(5(2(0(2(0(4(5(2(1(4(2(5(0(5(2(5(3(2(5(x1)))))))))))))))))))) -> 1(2(5(4(5(3(3(0(0(5(5(4(4(0(3(0(3(1(x1)))))))))))))))))) 2(3(1(5(2(3(0(3(3(1(3(2(1(3(1(4(3(5(1(5(4(x1))))))))))))))))))))) -> 3(1(1(4(5(4(5(3(4(2(4(5(3(5(4(1(3(4(0(4(x1)))))))))))))))))))) 2(4(1(3(0(5(2(2(2(4(4(5(2(0(3(4(5(1(5(5(0(x1))))))))))))))))))))) -> 4(3(5(4(2(4(5(1(0(2(3(5(5(0(4(4(5(3(3(5(1(x1))))))))))))))))))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) S is empty. Rewrite Strategy: 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. "[117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491] {(117,118,[0_1|0, 2_1|0, 3_1|0, 4_1|0, 5_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (117,119,[1_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (117,120,[0_1|2]), (117,122,[0_1|2]), (117,131,[4_1|2]), (117,147,[0_1|2]), (117,149,[3_1|2]), (117,163,[3_1|2]), (117,182,[0_1|2]), (117,186,[0_1|2]), (117,193,[4_1|2]), (117,203,[0_1|2]), (117,210,[4_1|2]), (117,230,[2_1|2]), (117,240,[4_1|2]), (117,255,[5_1|2]), (117,270,[3_1|2]), (117,277,[3_1|2]), (117,284,[1_1|2]), (117,300,[4_1|2]), (117,312,[1_1|2]), (117,330,[1_1|2]), (117,347,[3_1|2]), (117,363,[4_1|2]), (117,380,[1_1|2]), (117,397,[5_1|2]), (117,405,[5_1|2]), (117,422,[4_1|2]), (117,431,[4_1|2]), (117,446,[4_1|2]), (117,460,[5_1|2]), (117,477,[5_1|2]), (118,118,[1_1|0, cons_0_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0]), (119,118,[encArg_1|1]), (119,119,[1_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1]), (119,120,[0_1|2]), (119,122,[0_1|2]), (119,131,[4_1|2]), (119,147,[0_1|2]), (119,149,[3_1|2]), (119,163,[3_1|2]), (119,182,[0_1|2]), (119,186,[0_1|2]), (119,193,[4_1|2]), (119,203,[0_1|2]), (119,210,[4_1|2]), (119,230,[2_1|2]), (119,240,[4_1|2]), (119,255,[5_1|2]), (119,270,[3_1|2]), (119,277,[3_1|2]), (119,284,[1_1|2]), (119,300,[4_1|2]), (119,312,[1_1|2]), (119,330,[1_1|2]), (119,347,[3_1|2]), (119,363,[4_1|2]), (119,380,[1_1|2]), (119,397,[5_1|2]), (119,405,[5_1|2]), (119,422,[4_1|2]), (119,431,[4_1|2]), (119,446,[4_1|2]), (119,460,[5_1|2]), (119,477,[5_1|2]), (120,121,[1_1|2]), (121,119,[0_1|2]), (121,120,[0_1|2]), (121,122,[0_1|2]), (121,147,[0_1|2]), (121,182,[0_1|2]), (121,186,[0_1|2]), (121,203,[0_1|2]), (121,131,[4_1|2]), (122,123,[3_1|2]), (123,124,[4_1|2]), (124,125,[1_1|2]), (125,126,[5_1|2]), (126,127,[2_1|2]), (127,128,[0_1|2]), (128,129,[2_1|2]), (129,130,[1_1|2]), (130,119,[3_1|2]), (130,255,[3_1|2]), (130,397,[3_1|2]), (130,405,[3_1|2]), (130,460,[3_1|2]), (130,477,[3_1|2]), (130,270,[3_1|2]), (130,277,[3_1|2]), (130,284,[1_1|2]), (130,300,[4_1|2]), (130,312,[1_1|2]), (130,330,[1_1|2]), (130,347,[3_1|2]), (130,363,[4_1|2]), (130,380,[1_1|2]), (131,132,[2_1|2]), (132,133,[2_1|2]), (133,134,[5_1|2]), (134,135,[1_1|2]), (135,136,[5_1|2]), (136,137,[1_1|2]), (137,138,[5_1|2]), (138,139,[4_1|2]), (139,140,[4_1|2]), (140,141,[4_1|2]), (141,142,[4_1|2]), (142,143,[0_1|2]), (143,144,[2_1|2]), (144,145,[5_1|2]), (145,146,[3_1|2]), (145,277,[3_1|2]), (145,284,[1_1|2]), (146,119,[0_1|2]), (146,230,[0_1|2]), (146,133,[0_1|2]), (146,120,[0_1|2]), (146,122,[0_1|2]), (146,131,[4_1|2]), (147,148,[3_1|2]), (148,119,[4_1|2]), (148,131,[4_1|2]), (148,193,[4_1|2]), (148,210,[4_1|2]), (148,240,[4_1|2]), (148,300,[4_1|2]), (148,363,[4_1|2]), (148,422,[4_1|2]), (148,431,[4_1|2]), (148,446,[4_1|2]), (148,194,[4_1|2]), (148,423,[4_1|2]), (148,397,[5_1|2]), (148,405,[5_1|2]), (148,460,[5_1|2]), (149,150,[5_1|2]), (150,151,[1_1|2]), (151,152,[0_1|2]), (152,153,[3_1|2]), (153,154,[0_1|2]), (154,155,[3_1|2]), (155,156,[3_1|2]), (156,157,[4_1|2]), (157,158,[5_1|2]), (158,159,[4_1|2]), (159,160,[2_1|2]), (160,161,[2_1|2]), (161,162,[5_1|2]), (162,119,[1_1|2]), (162,230,[1_1|2]), (163,164,[1_1|2]), (164,165,[1_1|2]), (165,166,[4_1|2]), (166,167,[5_1|2]), (167,168,[4_1|2]), (168,169,[5_1|2]), (169,170,[3_1|2]), (170,171,[4_1|2]), (171,172,[2_1|2]), (172,173,[4_1|2]), (173,174,[5_1|2]), (174,175,[3_1|2]), (175,176,[5_1|2]), (176,177,[4_1|2]), (177,178,[1_1|2]), (178,179,[3_1|2]), (179,180,[4_1|2]), (179,460,[5_1|2]), (180,181,[0_1|2]), (181,119,[4_1|2]), (181,131,[4_1|2]), (181,193,[4_1|2]), (181,210,[4_1|2]), (181,240,[4_1|2]), (181,300,[4_1|2]), (181,363,[4_1|2]), (181,422,[4_1|2]), (181,431,[4_1|2]), (181,446,[4_1|2]), (181,398,[4_1|2]), (181,406,[4_1|2]), (181,478,[4_1|2]), (181,397,[5_1|2]), (181,405,[5_1|2]), (181,460,[5_1|2]), (182,183,[3_1|2]), (183,184,[0_1|2]), (184,185,[0_1|2]), (185,119,[0_1|2]), (185,230,[0_1|2]), (185,461,[0_1|2]), (185,120,[0_1|2]), (185,122,[0_1|2]), (185,131,[4_1|2]), (186,187,[1_1|2]), (187,188,[1_1|2]), (188,189,[1_1|2]), (189,190,[3_1|2]), (190,191,[5_1|2]), (191,192,[2_1|2]), (191,240,[4_1|2]), (191,255,[5_1|2]), (192,119,[5_1|2]), (192,255,[5_1|2]), (192,397,[5_1|2]), (192,405,[5_1|2]), (192,460,[5_1|2]), (192,477,[5_1|2]), (193,194,[4_1|2]), (194,195,[4_1|2]), (195,196,[1_1|2]), (196,197,[1_1|2]), (197,198,[4_1|2]), (198,199,[1_1|2]), (199,200,[5_1|2]), (200,201,[5_1|2]), (201,202,[1_1|2]), (202,119,[2_1|2]), (202,230,[2_1|2]), (202,147,[0_1|2]), (202,149,[3_1|2]), (202,163,[3_1|2]), (202,182,[0_1|2]), (202,186,[0_1|2]), (202,193,[4_1|2]), (202,203,[0_1|2]), (202,210,[4_1|2]), (202,240,[4_1|2]), (202,255,[5_1|2]), (203,204,[0_1|2]), (204,205,[0_1|2]), (205,206,[1_1|2]), (206,207,[0_1|2]), (207,208,[1_1|2]), (208,209,[3_1|2]), (208,270,[3_1|2]), (209,119,[2_1|2]), (209,131,[2_1|2]), (209,193,[2_1|2, 4_1|2]), (209,210,[2_1|2, 4_1|2]), (209,240,[2_1|2, 4_1|2]), (209,300,[2_1|2]), (209,363,[2_1|2]), (209,422,[2_1|2]), (209,431,[2_1|2]), (209,446,[2_1|2]), (209,147,[0_1|2]), (209,149,[3_1|2]), (209,163,[3_1|2]), (209,182,[0_1|2]), (209,186,[0_1|2]), (209,203,[0_1|2]), (209,230,[2_1|2]), (209,255,[5_1|2]), (210,211,[3_1|2]), (211,212,[5_1|2]), (212,213,[4_1|2]), (213,214,[2_1|2]), (214,215,[4_1|2]), (215,216,[5_1|2]), (216,217,[1_1|2]), (217,218,[0_1|2]), (218,219,[2_1|2]), (219,220,[3_1|2]), (220,221,[5_1|2]), (221,222,[5_1|2]), (222,223,[0_1|2]), (223,224,[4_1|2]), (224,225,[4_1|2]), (225,226,[5_1|2]), (226,227,[3_1|2]), (226,300,[4_1|2]), (227,228,[3_1|2]), (228,229,[5_1|2]), (229,119,[1_1|2]), (229,120,[1_1|2]), (229,122,[1_1|2]), (229,147,[1_1|2]), (229,182,[1_1|2]), (229,186,[1_1|2]), (229,203,[1_1|2]), (230,231,[1_1|2]), (231,232,[3_1|2]), (232,233,[2_1|2]), (233,234,[5_1|2]), (234,235,[1_1|2]), (235,236,[2_1|2]), (236,237,[0_1|2]), (237,238,[2_1|2]), (237,147,[0_1|2]), (237,486,[0_1|3]), (238,239,[3_1|2]), (239,119,[4_1|2]), (239,284,[4_1|2]), (239,312,[4_1|2]), (239,330,[4_1|2]), (239,380,[4_1|2]), (239,256,[4_1|2]), (239,397,[5_1|2]), (239,405,[5_1|2]), (239,422,[4_1|2]), (239,431,[4_1|2]), (239,446,[4_1|2]), (239,460,[5_1|2]), (240,241,[3_1|2]), (241,242,[2_1|2]), (242,243,[1_1|2]), (243,244,[5_1|2]), (244,245,[4_1|2]), (245,246,[0_1|2]), (246,247,[3_1|2]), (247,248,[2_1|2]), (248,249,[3_1|2]), (249,250,[5_1|2]), (250,251,[5_1|2]), (251,252,[2_1|2]), (252,253,[4_1|2]), (253,254,[1_1|2]), (254,119,[4_1|2]), (254,131,[4_1|2]), (254,193,[4_1|2]), (254,210,[4_1|2]), (254,240,[4_1|2]), (254,300,[4_1|2]), (254,363,[4_1|2]), (254,422,[4_1|2]), (254,431,[4_1|2]), (254,446,[4_1|2]), (254,397,[5_1|2]), (254,405,[5_1|2]), (254,460,[5_1|2]), (255,256,[1_1|2]), (256,257,[1_1|2]), (257,258,[4_1|2]), (258,259,[0_1|2]), (259,260,[5_1|2]), (260,261,[5_1|2]), (261,262,[2_1|2]), (262,263,[5_1|2]), (263,264,[0_1|2]), (264,265,[1_1|2]), (265,266,[2_1|2]), (266,267,[4_1|2]), (267,268,[2_1|2]), (268,269,[4_1|2]), (268,446,[4_1|2]), (269,119,[4_1|2]), (269,120,[4_1|2]), (269,122,[4_1|2]), (269,147,[4_1|2]), (269,182,[4_1|2]), (269,186,[4_1|2]), (269,203,[4_1|2]), (269,397,[5_1|2]), (269,405,[5_1|2]), (269,422,[4_1|2]), (269,431,[4_1|2]), (269,446,[4_1|2]), (269,460,[5_1|2]), (270,271,[4_1|2]), (271,272,[2_1|2]), (272,273,[0_1|2]), (273,274,[1_1|2]), (274,275,[0_1|2]), (275,276,[5_1|2]), (276,119,[0_1|2]), (276,120,[0_1|2]), (276,122,[0_1|2]), (276,147,[0_1|2]), (276,182,[0_1|2]), (276,186,[0_1|2]), (276,203,[0_1|2]), (276,131,[4_1|2]), (277,278,[4_1|2]), (278,279,[1_1|2]), (279,280,[2_1|2]), (280,281,[3_1|2]), (281,282,[3_1|2]), (282,283,[4_1|2]), (282,422,[4_1|2]), (283,119,[3_1|2]), (283,284,[3_1|2, 1_1|2]), (283,312,[3_1|2, 1_1|2]), (283,330,[3_1|2, 1_1|2]), (283,380,[3_1|2, 1_1|2]), (283,188,[3_1|2]), (283,270,[3_1|2]), (283,277,[3_1|2]), (283,300,[4_1|2]), (283,347,[3_1|2]), (283,363,[4_1|2]), (284,285,[5_1|2]), (285,286,[3_1|2]), (286,287,[0_1|2]), (287,288,[5_1|2]), (288,289,[4_1|2]), (289,290,[4_1|2]), (290,291,[0_1|2]), (291,292,[0_1|2]), (292,293,[4_1|2]), (293,294,[1_1|2]), (294,295,[3_1|2]), (295,296,[4_1|2]), (296,297,[3_1|2]), (297,298,[1_1|2]), (298,299,[4_1|2]), (298,431,[4_1|2]), (299,119,[1_1|2]), (299,120,[1_1|2]), (299,122,[1_1|2]), (299,147,[1_1|2]), (299,182,[1_1|2]), (299,186,[1_1|2]), (299,203,[1_1|2]), (300,301,[3_1|2]), (301,302,[0_1|2]), (302,303,[3_1|2]), (303,304,[5_1|2]), (304,305,[1_1|2]), (305,306,[1_1|2]), (306,307,[3_1|2]), (307,308,[1_1|2]), (308,309,[5_1|2]), (309,310,[4_1|2]), (310,311,[3_1|2]), (311,119,[1_1|2]), (311,120,[1_1|2]), (311,122,[1_1|2]), (311,147,[1_1|2]), (311,182,[1_1|2]), (311,186,[1_1|2]), (311,203,[1_1|2]), (312,313,[0_1|2]), (313,314,[0_1|2]), (314,315,[0_1|2]), (315,316,[1_1|2]), (316,317,[0_1|2]), (317,318,[4_1|2]), (318,319,[5_1|2]), (319,320,[4_1|2]), (320,321,[0_1|2]), (321,322,[2_1|2]), (322,323,[3_1|2]), (323,324,[5_1|2]), (324,325,[3_1|2]), (325,326,[5_1|2]), (326,327,[4_1|2]), (327,328,[4_1|2]), (328,329,[0_1|2]), (328,122,[0_1|2]), (329,119,[3_1|2]), (329,284,[3_1|2, 1_1|2]), (329,312,[3_1|2, 1_1|2]), (329,330,[3_1|2, 1_1|2]), (329,380,[3_1|2, 1_1|2]), (329,164,[3_1|2]), (329,270,[3_1|2]), (329,277,[3_1|2]), (329,300,[4_1|2]), (329,347,[3_1|2]), (329,363,[4_1|2]), (330,331,[0_1|2]), (331,332,[1_1|2]), (332,333,[4_1|2]), (333,334,[3_1|2]), (334,335,[3_1|2]), (335,336,[4_1|2]), (336,337,[4_1|2]), (337,338,[4_1|2]), (338,339,[3_1|2]), (339,340,[5_1|2]), (340,341,[0_1|2]), (340,488,[0_1|3]), (341,342,[1_1|2]), (342,343,[2_1|2]), (343,344,[0_1|2]), (344,345,[2_1|2]), (344,149,[3_1|2]), (345,346,[3_1|2]), (345,300,[4_1|2]), (345,312,[1_1|2]), (345,330,[1_1|2]), (346,119,[3_1|2]), (346,230,[3_1|2]), (346,133,[3_1|2]), (346,270,[3_1|2]), (346,277,[3_1|2]), (346,284,[1_1|2]), (346,300,[4_1|2]), (346,312,[1_1|2]), (346,330,[1_1|2]), (346,347,[3_1|2]), (346,363,[4_1|2]), (346,380,[1_1|2]), (347,348,[5_1|2]), (348,349,[4_1|2]), (349,350,[5_1|2]), (350,351,[0_1|2]), (351,352,[5_1|2]), (352,353,[1_1|2]), (353,354,[0_1|2]), (354,355,[2_1|2]), (355,356,[3_1|2]), (356,357,[3_1|2]), (357,358,[4_1|2]), (358,359,[5_1|2]), (359,360,[2_1|2]), (360,361,[2_1|2]), (360,182,[0_1|2]), (361,362,[2_1|2]), (361,203,[0_1|2]), (361,210,[4_1|2]), (362,119,[4_1|2]), (362,131,[4_1|2]), (362,193,[4_1|2]), (362,210,[4_1|2]), (362,240,[4_1|2]), (362,300,[4_1|2]), (362,363,[4_1|2]), (362,422,[4_1|2]), (362,431,[4_1|2]), (362,446,[4_1|2]), (362,398,[4_1|2]), (362,406,[4_1|2]), (362,478,[4_1|2]), (362,397,[5_1|2]), (362,405,[5_1|2]), (362,460,[5_1|2]), (363,364,[2_1|2]), (364,365,[1_1|2]), (365,366,[2_1|2]), (366,367,[0_1|2]), (367,368,[3_1|2]), (368,369,[2_1|2]), (369,370,[3_1|2]), (370,371,[0_1|2]), (371,372,[3_1|2]), (372,373,[2_1|2]), (373,374,[5_1|2]), (374,375,[1_1|2]), (375,376,[4_1|2]), (376,377,[1_1|2]), (377,378,[2_1|2]), (377,147,[0_1|2]), (377,486,[0_1|3]), (378,379,[3_1|2]), (379,119,[4_1|2]), (379,131,[4_1|2]), (379,193,[4_1|2]), (379,210,[4_1|2]), (379,240,[4_1|2]), (379,300,[4_1|2]), (379,363,[4_1|2]), (379,422,[4_1|2]), (379,431,[4_1|2]), (379,446,[4_1|2]), (379,397,[5_1|2]), (379,405,[5_1|2]), (379,460,[5_1|2]), (380,381,[2_1|2]), (381,382,[5_1|2]), (382,383,[4_1|2]), (383,384,[5_1|2]), (384,385,[3_1|2]), (385,386,[3_1|2]), (386,387,[0_1|2]), (387,388,[0_1|2]), (388,389,[5_1|2]), (389,390,[5_1|2]), (390,391,[4_1|2]), (391,392,[4_1|2]), (392,393,[0_1|2]), (393,394,[3_1|2]), (394,395,[0_1|2]), (395,396,[3_1|2]), (396,119,[1_1|2]), (396,255,[1_1|2]), (396,397,[1_1|2]), (396,405,[1_1|2]), (396,460,[1_1|2]), (396,477,[1_1|2]), (397,398,[4_1|2]), (398,399,[4_1|2]), (399,400,[0_1|2]), (400,401,[2_1|2]), (401,402,[0_1|2]), (402,403,[0_1|2]), (403,404,[4_1|2]), (403,422,[4_1|2]), (404,119,[3_1|2]), (404,149,[3_1|2]), (404,163,[3_1|2]), (404,270,[3_1|2]), (404,277,[3_1|2]), (404,347,[3_1|2]), (404,284,[1_1|2]), (404,300,[4_1|2]), (404,312,[1_1|2]), (404,330,[1_1|2]), (404,363,[4_1|2]), (404,380,[1_1|2]), (405,406,[4_1|2]), (406,407,[4_1|2]), (407,408,[5_1|2]), (408,409,[4_1|2]), (409,410,[2_1|2]), (410,411,[0_1|2]), (411,412,[2_1|2]), (412,413,[3_1|2]), (413,414,[2_1|2]), (414,415,[3_1|2]), (415,416,[4_1|2]), (416,417,[2_1|2]), (417,418,[1_1|2]), (418,419,[2_1|2]), (419,420,[1_1|2]), (420,421,[4_1|2]), (420,431,[4_1|2]), (421,119,[1_1|2]), (421,284,[1_1|2]), (421,312,[1_1|2]), (421,330,[1_1|2]), (421,380,[1_1|2]), (422,423,[4_1|2]), (423,424,[1_1|2]), (424,425,[2_1|2]), (425,426,[5_1|2]), (426,427,[5_1|2]), (427,428,[2_1|2]), (428,429,[4_1|2]), (429,430,[2_1|2]), (429,230,[2_1|2]), (430,119,[1_1|2]), (430,255,[1_1|2]), (430,397,[1_1|2]), (430,405,[1_1|2]), (430,460,[1_1|2]), (430,477,[1_1|2]), (431,432,[3_1|2]), (432,433,[0_1|2]), (433,434,[2_1|2]), (434,435,[3_1|2]), (435,436,[3_1|2]), (436,437,[5_1|2]), (437,438,[4_1|2]), (438,439,[4_1|2]), (439,440,[0_1|2]), (440,441,[0_1|2]), (441,442,[0_1|2]), (442,443,[5_1|2]), (443,444,[4_1|2]), (443,397,[5_1|2]), (444,445,[2_1|2]), (444,147,[0_1|2]), (444,149,[3_1|2]), (444,163,[3_1|2]), (444,490,[0_1|3]), (445,119,[3_1|2]), (445,120,[3_1|2]), (445,122,[3_1|2]), (445,147,[3_1|2]), (445,182,[3_1|2]), (445,186,[3_1|2]), (445,203,[3_1|2]), (445,204,[3_1|2]), (445,270,[3_1|2]), (445,277,[3_1|2]), (445,284,[1_1|2]), (445,300,[4_1|2]), (445,312,[1_1|2]), (445,330,[1_1|2]), (445,347,[3_1|2]), (445,363,[4_1|2]), (445,380,[1_1|2]), (446,447,[5_1|2]), (447,448,[4_1|2]), (448,449,[2_1|2]), (449,450,[4_1|2]), (450,451,[1_1|2]), (451,452,[0_1|2]), (452,453,[4_1|2]), (453,454,[0_1|2]), (454,455,[1_1|2]), (455,456,[1_1|2]), (456,457,[2_1|2]), (457,458,[4_1|2]), (458,459,[4_1|2]), (458,446,[4_1|2]), (459,119,[4_1|2]), (459,230,[4_1|2]), (459,397,[5_1|2]), (459,405,[5_1|2]), (459,422,[4_1|2]), (459,431,[4_1|2]), (459,446,[4_1|2]), (459,460,[5_1|2]), (460,461,[2_1|2]), (461,462,[3_1|2]), (462,463,[3_1|2]), (463,464,[2_1|2]), (464,465,[2_1|2]), (465,466,[0_1|2]), (466,467,[4_1|2]), (467,468,[4_1|2]), (468,469,[1_1|2]), (469,470,[5_1|2]), (470,471,[5_1|2]), (471,472,[3_1|2]), (472,473,[4_1|2]), (473,474,[2_1|2]), (474,475,[3_1|2]), (474,363,[4_1|2]), (474,380,[1_1|2]), (475,476,[5_1|2]), (476,119,[2_1|2]), (476,230,[2_1|2]), (476,461,[2_1|2]), (476,147,[0_1|2]), (476,149,[3_1|2]), (476,163,[3_1|2]), (476,182,[0_1|2]), (476,186,[0_1|2]), (476,193,[4_1|2]), (476,203,[0_1|2]), (476,210,[4_1|2]), (476,240,[4_1|2]), (476,255,[5_1|2]), (477,478,[4_1|2]), (478,479,[5_1|2]), (479,480,[3_1|2]), (480,481,[1_1|2]), (481,482,[0_1|2]), (482,483,[0_1|2]), (483,484,[4_1|2]), (484,485,[5_1|2]), (485,119,[2_1|2]), (485,120,[2_1|2]), (485,122,[2_1|2]), (485,147,[2_1|2, 0_1|2]), (485,182,[2_1|2, 0_1|2]), (485,186,[2_1|2, 0_1|2]), (485,203,[2_1|2, 0_1|2]), (485,149,[3_1|2]), (485,163,[3_1|2]), (485,193,[4_1|2]), (485,210,[4_1|2]), (485,230,[2_1|2]), (485,240,[4_1|2]), (485,255,[5_1|2]), (485,486,[0_1|3]), (486,487,[3_1|3]), (487,131,[4_1|3]), (487,193,[4_1|3]), (487,210,[4_1|3]), (487,240,[4_1|3]), (487,300,[4_1|3]), (487,363,[4_1|3]), (487,422,[4_1|3]), (487,431,[4_1|3]), (487,446,[4_1|3]), (487,423,[4_1|3]), (487,194,[4_1|3]), (487,195,[4_1|3]), (488,489,[1_1|3]), (489,344,[0_1|3]), (490,491,[3_1|3]), (491,194,[4_1|3]), (491,423,[4_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)