/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 81 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 72 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(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: 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_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 (full) 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: 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(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: 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(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: 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 2. The certificate found is represented by the following graph. "[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, 566, 567, 568] {(151,152,[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]), (151,153,[0_1|1, 2_1|1, 1_1|1, 4_1|1, 3_1|1, 5_1|1]), (151,154,[2_1|2]), (151,159,[3_1|2]), (151,169,[0_1|2]), (151,177,[0_1|2]), (151,196,[2_1|2]), (151,202,[2_1|2]), (151,210,[4_1|2]), (151,219,[2_1|2]), (151,235,[2_1|2]), (151,252,[2_1|2]), (151,261,[2_1|2]), (151,270,[1_1|2]), (151,281,[1_1|2]), (151,299,[1_1|2]), (151,319,[1_1|2]), (151,337,[1_1|2]), (151,356,[0_1|2]), (151,365,[0_1|2]), (151,383,[4_1|2]), (151,396,[1_1|2]), (151,414,[3_1|2]), (151,432,[3_1|2]), (151,443,[3_1|2]), (151,457,[3_1|2]), (151,475,[0_1|2]), (151,486,[3_1|2]), (151,502,[3_1|2]), (151,516,[5_1|2]), (151,532,[5_1|2]), (151,549,[5_1|2]), (152,152,[cons_0_1|0, cons_2_1|0, cons_1_1|0, cons_4_1|0, cons_3_1|0, cons_5_1|0]), (153,152,[encArg_1|1]), (153,153,[0_1|1, 2_1|1, 1_1|1, 4_1|1, 3_1|1, 5_1|1]), (153,154,[2_1|2]), (153,159,[3_1|2]), (153,169,[0_1|2]), (153,177,[0_1|2]), (153,196,[2_1|2]), (153,202,[2_1|2]), (153,210,[4_1|2]), (153,219,[2_1|2]), (153,235,[2_1|2]), (153,252,[2_1|2]), (153,261,[2_1|2]), (153,270,[1_1|2]), (153,281,[1_1|2]), (153,299,[1_1|2]), (153,319,[1_1|2]), (153,337,[1_1|2]), (153,356,[0_1|2]), (153,365,[0_1|2]), (153,383,[4_1|2]), (153,396,[1_1|2]), (153,414,[3_1|2]), (153,432,[3_1|2]), (153,443,[3_1|2]), (153,457,[3_1|2]), (153,475,[0_1|2]), (153,486,[3_1|2]), (153,502,[3_1|2]), (153,516,[5_1|2]), (153,532,[5_1|2]), (153,549,[5_1|2]), (154,155,[2_1|2]), (155,156,[2_1|2]), (156,157,[4_1|2]), (157,158,[2_1|2]), (157,235,[2_1|2]), (158,153,[3_1|2]), (158,159,[3_1|2]), (158,414,[3_1|2]), (158,432,[3_1|2]), (158,443,[3_1|2]), (158,457,[3_1|2]), (158,486,[3_1|2]), (158,502,[3_1|2]), (158,220,[3_1|2]), (158,475,[0_1|2]), (159,160,[2_1|2]), (160,161,[3_1|2]), (161,162,[1_1|2]), (162,163,[5_1|2]), (163,164,[3_1|2]), (164,165,[5_1|2]), (165,166,[3_1|2]), (166,167,[5_1|2]), (167,168,[5_1|2]), (168,153,[2_1|2]), (168,159,[2_1|2]), (168,414,[2_1|2]), (168,432,[2_1|2]), (168,443,[2_1|2]), (168,457,[2_1|2]), (168,486,[2_1|2]), (168,502,[2_1|2]), (168,220,[2_1|2]), (168,161,[2_1|2]), (168,196,[2_1|2]), (168,202,[2_1|2]), (168,210,[4_1|2]), (168,219,[2_1|2]), (168,235,[2_1|2]), (169,170,[5_1|2]), (170,171,[3_1|2]), (171,172,[1_1|2]), (172,173,[0_1|2]), (173,174,[1_1|2]), (174,175,[3_1|2]), (175,176,[4_1|2]), (175,356,[0_1|2]), (175,365,[0_1|2]), (176,153,[4_1|2]), (176,210,[4_1|2]), (176,383,[4_1|2]), (176,253,[4_1|2]), (176,356,[0_1|2]), (176,365,[0_1|2]), (176,396,[1_1|2]), (176,414,[3_1|2]), (177,178,[0_1|2]), (178,179,[2_1|2]), (179,180,[5_1|2]), (180,181,[1_1|2]), (181,182,[0_1|2]), (182,183,[0_1|2]), (183,184,[4_1|2]), (184,185,[2_1|2]), (185,186,[2_1|2]), (186,187,[2_1|2]), (187,188,[4_1|2]), (188,189,[2_1|2]), (189,190,[1_1|2]), (190,191,[3_1|2]), (191,192,[2_1|2]), (192,193,[4_1|2]), (193,194,[3_1|2]), (193,457,[3_1|2]), (194,195,[1_1|2]), (195,153,[3_1|2]), (195,154,[3_1|2]), (195,196,[3_1|2]), (195,202,[3_1|2]), (195,219,[3_1|2]), (195,235,[3_1|2]), (195,252,[3_1|2]), (195,261,[3_1|2]), (195,155,[3_1|2]), (195,197,[3_1|2]), (195,432,[3_1|2]), (195,443,[3_1|2]), (195,457,[3_1|2]), (195,475,[0_1|2]), (195,486,[3_1|2]), (195,502,[3_1|2]), (196,197,[2_1|2]), (197,198,[4_1|2]), (198,199,[4_1|2]), (199,200,[5_1|2]), (200,201,[4_1|2]), (201,153,[2_1|2]), (201,159,[2_1|2]), (201,414,[2_1|2]), (201,432,[2_1|2]), (201,443,[2_1|2]), (201,457,[2_1|2]), (201,486,[2_1|2]), (201,502,[2_1|2]), (201,196,[2_1|2]), (201,202,[2_1|2]), (201,210,[4_1|2]), (201,219,[2_1|2]), (201,235,[2_1|2]), (202,203,[5_1|2]), (203,204,[3_1|2]), (204,205,[4_1|2]), (205,206,[2_1|2]), (206,207,[2_1|2]), (207,208,[4_1|2]), (208,209,[2_1|2]), (209,153,[5_1|2]), (209,516,[5_1|2]), (209,532,[5_1|2]), (209,549,[5_1|2]), (209,271,[5_1|2]), (210,211,[1_1|2]), (211,212,[2_1|2]), (212,213,[5_1|2]), (213,214,[2_1|2]), (214,215,[2_1|2]), (215,216,[3_1|2]), (216,217,[4_1|2]), (217,218,[5_1|2]), (217,516,[5_1|2]), (218,153,[1_1|2]), (218,154,[1_1|2]), (218,196,[1_1|2]), (218,202,[1_1|2]), (218,219,[1_1|2]), (218,235,[1_1|2]), (218,252,[1_1|2, 2_1|2]), (218,261,[1_1|2, 2_1|2]), (218,338,[1_1|2]), (218,270,[1_1|2]), (218,281,[1_1|2]), (218,299,[1_1|2]), (218,319,[1_1|2]), (218,337,[1_1|2]), (219,220,[3_1|2]), (220,221,[3_1|2]), (221,222,[5_1|2]), (222,223,[5_1|2]), (223,224,[0_1|2]), (224,225,[0_1|2]), (225,226,[2_1|2]), (226,227,[1_1|2]), (227,228,[0_1|2]), (228,229,[5_1|2]), (229,230,[0_1|2]), (230,231,[3_1|2]), (231,232,[5_1|2]), (232,233,[2_1|2]), (233,234,[3_1|2]), (233,432,[3_1|2]), (233,443,[3_1|2]), (233,457,[3_1|2]), (234,153,[1_1|2]), (234,154,[1_1|2]), (234,196,[1_1|2]), (234,202,[1_1|2]), (234,219,[1_1|2]), (234,235,[1_1|2]), (234,252,[1_1|2, 2_1|2]), (234,261,[1_1|2, 2_1|2]), (234,270,[1_1|2]), (234,281,[1_1|2]), (234,299,[1_1|2]), (234,319,[1_1|2]), (234,337,[1_1|2]), (235,236,[1_1|2]), (236,237,[5_1|2]), (237,238,[1_1|2]), (238,239,[2_1|2]), (239,240,[4_1|2]), (240,241,[4_1|2]), (241,242,[2_1|2]), (242,243,[4_1|2]), (243,244,[0_1|2]), (244,245,[1_1|2]), (245,246,[3_1|2]), (246,247,[3_1|2]), (247,248,[1_1|2]), (248,249,[4_1|2]), (249,250,[4_1|2]), (250,251,[0_1|2]), (251,153,[3_1|2]), (251,169,[3_1|2]), (251,177,[3_1|2]), (251,356,[3_1|2]), (251,365,[3_1|2]), (251,475,[3_1|2, 0_1|2]), (251,262,[3_1|2]), (251,504,[3_1|2]), (251,432,[3_1|2]), (251,443,[3_1|2]), (251,457,[3_1|2]), (251,486,[3_1|2]), (251,502,[3_1|2]), (252,253,[4_1|2]), (253,254,[2_1|2]), (254,255,[1_1|2]), (255,256,[5_1|2]), (256,257,[1_1|2]), (257,258,[5_1|2]), (258,259,[4_1|2]), (259,260,[2_1|2]), (259,210,[4_1|2]), (259,219,[2_1|2]), (260,153,[1_1|2]), (260,270,[1_1|2]), (260,281,[1_1|2]), (260,299,[1_1|2]), (260,319,[1_1|2]), (260,337,[1_1|2]), (260,396,[1_1|2]), (260,236,[1_1|2]), (260,252,[2_1|2]), (260,261,[2_1|2]), (261,262,[0_1|2]), (262,263,[5_1|2]), (263,264,[0_1|2]), (264,265,[5_1|2]), (265,266,[2_1|2]), (266,267,[2_1|2]), (267,268,[0_1|2]), (268,269,[2_1|2]), (269,153,[0_1|2]), (269,169,[0_1|2]), (269,177,[0_1|2]), (269,356,[0_1|2]), (269,365,[0_1|2]), (269,475,[0_1|2]), (269,262,[0_1|2]), (269,154,[2_1|2]), (269,159,[3_1|2]), (270,271,[5_1|2]), (271,272,[2_1|2]), (272,273,[2_1|2]), (273,274,[5_1|2]), (274,275,[2_1|2]), (275,276,[1_1|2]), (276,277,[5_1|2]), (277,278,[4_1|2]), (278,279,[3_1|2]), (278,457,[3_1|2]), (279,280,[1_1|2]), (280,153,[3_1|2]), (280,159,[3_1|2]), (280,414,[3_1|2]), (280,432,[3_1|2]), (280,443,[3_1|2]), (280,457,[3_1|2]), (280,486,[3_1|2]), (280,502,[3_1|2]), (280,534,[3_1|2]), (280,475,[0_1|2]), (281,282,[1_1|2]), (282,283,[2_1|2]), (283,284,[1_1|2]), (284,285,[3_1|2]), (285,286,[2_1|2]), (286,287,[4_1|2]), (287,288,[1_1|2]), (288,289,[1_1|2]), (289,290,[5_1|2]), (290,291,[0_1|2]), (291,292,[1_1|2]), (292,293,[3_1|2]), (293,294,[5_1|2]), (294,295,[4_1|2]), (295,296,[5_1|2]), (296,297,[1_1|2]), (297,298,[5_1|2]), (298,153,[4_1|2]), (298,210,[4_1|2]), (298,383,[4_1|2]), (298,356,[0_1|2]), (298,365,[0_1|2]), (298,396,[1_1|2]), (298,414,[3_1|2]), (299,300,[0_1|2]), (300,301,[5_1|2]), (301,302,[2_1|2]), (302,303,[2_1|2]), (303,304,[0_1|2]), (304,305,[0_1|2]), (305,306,[5_1|2]), (306,307,[0_1|2]), (307,308,[2_1|2]), (308,309,[4_1|2]), (309,310,[3_1|2]), (310,311,[2_1|2]), (311,312,[5_1|2]), (312,313,[3_1|2]), (313,314,[1_1|2]), (314,315,[0_1|2]), (315,316,[3_1|2]), (316,317,[5_1|2]), (317,318,[2_1|2]), (318,153,[5_1|2]), (318,154,[5_1|2]), (318,196,[5_1|2]), (318,202,[5_1|2]), (318,219,[5_1|2]), (318,235,[5_1|2]), (318,252,[5_1|2]), (318,261,[5_1|2]), (318,155,[5_1|2]), (318,197,[5_1|2]), (318,516,[5_1|2]), (318,532,[5_1|2]), (318,549,[5_1|2]), (319,320,[1_1|2]), (320,321,[0_1|2]), (321,322,[3_1|2]), (322,323,[2_1|2]), (323,324,[4_1|2]), (324,325,[3_1|2]), (325,326,[4_1|2]), (326,327,[0_1|2]), (327,328,[3_1|2]), (328,329,[3_1|2]), (329,330,[4_1|2]), (330,331,[4_1|2]), (331,332,[0_1|2]), (332,333,[0_1|2]), (333,334,[2_1|2]), (334,335,[3_1|2]), (335,336,[3_1|2]), (336,153,[4_1|2]), (336,154,[4_1|2]), (336,196,[4_1|2]), (336,202,[4_1|2]), (336,219,[4_1|2]), (336,235,[4_1|2]), (336,252,[4_1|2]), (336,261,[4_1|2]), (336,338,[4_1|2]), (336,356,[0_1|2]), (336,365,[0_1|2]), (336,383,[4_1|2]), (336,396,[1_1|2]), (336,414,[3_1|2]), (337,338,[2_1|2]), (338,339,[4_1|2]), (339,340,[5_1|2]), (340,341,[1_1|2]), (341,342,[4_1|2]), (342,343,[5_1|2]), (343,344,[1_1|2]), (344,345,[4_1|2]), (345,346,[3_1|2]), (346,347,[5_1|2]), (347,348,[1_1|2]), (348,349,[4_1|2]), (349,350,[3_1|2]), (350,351,[4_1|2]), (351,352,[3_1|2]), (352,353,[1_1|2]), (353,354,[4_1|2]), (354,355,[1_1|2]), (355,153,[4_1|2]), (355,210,[4_1|2]), (355,383,[4_1|2]), (355,253,[4_1|2]), (355,356,[0_1|2]), (355,365,[0_1|2]), (355,396,[1_1|2]), (355,414,[3_1|2]), (356,357,[0_1|2]), (357,358,[0_1|2]), (358,359,[0_1|2]), (359,360,[1_1|2]), (360,361,[0_1|2]), (361,362,[3_1|2]), (361,486,[3_1|2]), (362,363,[0_1|2]), 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(395,202,[5_1|2]), (395,219,[5_1|2]), (395,235,[5_1|2]), (395,252,[5_1|2]), (395,261,[5_1|2]), (395,160,[5_1|2]), (395,503,[5_1|2]), (395,516,[5_1|2]), (395,532,[5_1|2]), (395,549,[5_1|2]), (396,397,[1_1|2]), (397,398,[5_1|2]), (398,399,[3_1|2]), (399,400,[0_1|2]), (400,401,[2_1|2]), (401,402,[3_1|2]), (402,403,[4_1|2]), (403,404,[0_1|2]), (404,405,[3_1|2]), (405,406,[5_1|2]), (406,407,[1_1|2]), (407,408,[2_1|2]), (408,409,[2_1|2]), (409,410,[4_1|2]), (410,411,[0_1|2]), (410,159,[3_1|2]), (411,412,[0_1|2]), (412,413,[2_1|2]), (412,196,[2_1|2]), (412,202,[2_1|2]), (413,153,[2_1|2]), (413,169,[2_1|2]), (413,177,[2_1|2]), (413,356,[2_1|2]), (413,365,[2_1|2]), (413,475,[2_1|2]), (413,196,[2_1|2]), (413,202,[2_1|2]), (413,210,[4_1|2]), (413,219,[2_1|2]), (413,235,[2_1|2]), (414,415,[4_1|2]), (415,416,[2_1|2]), (416,417,[5_1|2]), (417,418,[1_1|2]), (418,419,[0_1|2]), (419,420,[0_1|2]), (420,421,[3_1|2]), (421,422,[0_1|2]), (422,423,[3_1|2]), (423,424,[5_1|2]), (424,425,[0_1|2]), (425,426,[0_1|2]), (426,427,[0_1|2]), (427,428,[4_1|2]), (428,429,[4_1|2]), (429,430,[4_1|2]), (430,431,[5_1|2]), (431,153,[4_1|2]), (431,159,[4_1|2]), (431,414,[4_1|2, 3_1|2]), (431,432,[4_1|2]), (431,443,[4_1|2]), (431,457,[4_1|2]), (431,486,[4_1|2]), (431,502,[4_1|2]), (431,356,[0_1|2]), (431,365,[0_1|2]), (431,383,[4_1|2]), (431,396,[1_1|2]), (432,433,[5_1|2]), (433,434,[4_1|2]), (434,435,[4_1|2]), (435,436,[1_1|2]), (436,437,[1_1|2]), (437,438,[3_1|2]), (438,439,[1_1|2]), (439,440,[4_1|2]), (440,441,[0_1|2]), (441,442,[3_1|2]), (442,153,[3_1|2]), (442,154,[3_1|2]), (442,196,[3_1|2]), (442,202,[3_1|2]), (442,219,[3_1|2]), (442,235,[3_1|2]), (442,252,[3_1|2]), (442,261,[3_1|2]), (442,155,[3_1|2]), (442,197,[3_1|2]), (442,432,[3_1|2]), (442,443,[3_1|2]), (442,457,[3_1|2]), (442,475,[0_1|2]), (442,486,[3_1|2]), (442,502,[3_1|2]), (443,444,[0_1|2]), (444,445,[0_1|2]), (445,446,[5_1|2]), (446,447,[0_1|2]), (447,448,[1_1|2]), (448,449,[0_1|2]), (449,450,[5_1|2]), (450,451,[5_1|2]), (451,452,[1_1|2]), (452,453,[4_1|2]), (453,454,[1_1|2]), (454,455,[2_1|2]), (455,456,[2_1|2]), (456,153,[5_1|2]), (456,516,[5_1|2]), (456,532,[5_1|2]), (456,549,[5_1|2]), (456,203,[5_1|2]), (456,213,[5_1|2]), (457,458,[4_1|2]), (458,459,[1_1|2]), (459,460,[4_1|2]), (460,461,[4_1|2]), (461,462,[5_1|2]), (462,463,[3_1|2]), (463,464,[5_1|2]), (464,465,[0_1|2]), (465,466,[1_1|2]), (466,467,[4_1|2]), (467,468,[4_1|2]), (468,469,[4_1|2]), (469,470,[3_1|2]), (470,471,[0_1|2]), (471,472,[4_1|2]), (472,473,[0_1|2]), (473,474,[0_1|2]), (473,154,[2_1|2]), (473,159,[3_1|2]), (474,153,[0_1|2]), (474,169,[0_1|2]), (474,177,[0_1|2]), (474,356,[0_1|2]), (474,365,[0_1|2]), (474,475,[0_1|2]), (474,154,[2_1|2]), (474,159,[3_1|2]), (475,476,[5_1|2]), (476,477,[3_1|2]), (477,478,[2_1|2]), (478,479,[2_1|2]), (479,480,[2_1|2]), (480,481,[5_1|2]), (481,482,[4_1|2]), (482,483,[0_1|2]), (483,484,[4_1|2]), (484,485,[1_1|2]), (484,261,[2_1|2]), (484,270,[1_1|2]), (484,281,[1_1|2]), (484,299,[1_1|2]), (485,153,[5_1|2]), (485,154,[5_1|2]), (485,196,[5_1|2]), (485,202,[5_1|2]), (485,219,[5_1|2]), (485,235,[5_1|2]), (485,252,[5_1|2]), (485,261,[5_1|2]), (485,155,[5_1|2]), (485,197,[5_1|2]), (485,516,[5_1|2]), (485,532,[5_1|2]), (485,549,[5_1|2]), (486,487,[5_1|2]), (487,488,[5_1|2]), (488,489,[0_1|2]), (489,490,[5_1|2]), (490,491,[2_1|2]), (491,492,[4_1|2]), (492,493,[2_1|2]), (493,494,[1_1|2]), (494,495,[1_1|2]), (495,496,[5_1|2]), (496,497,[2_1|2]), (497,498,[4_1|2]), (498,499,[5_1|2]), (499,500,[4_1|2]), (500,501,[1_1|2]), (500,261,[2_1|2]), (500,270,[1_1|2]), (500,281,[1_1|2]), (500,299,[1_1|2]), (501,153,[5_1|2]), (501,159,[5_1|2]), (501,414,[5_1|2]), (501,432,[5_1|2]), (501,443,[5_1|2]), (501,457,[5_1|2]), (501,486,[5_1|2]), (501,502,[5_1|2]), (501,516,[5_1|2]), (501,532,[5_1|2]), (501,549,[5_1|2]), (502,503,[2_1|2]), (503,504,[0_1|2]), (504,505,[0_1|2]), (505,506,[1_1|2]), (506,507,[1_1|2]), (507,508,[2_1|2]), (508,509,[3_1|2]), (509,510,[5_1|2]), (510,511,[1_1|2]), (511,512,[5_1|2]), (512,513,[3_1|2]), (513,514,[2_1|2]), (513,202,[2_1|2]), (514,515,[2_1|2]), (514,196,[2_1|2]), (514,202,[2_1|2]), (515,153,[2_1|2]), (515,159,[2_1|2]), (515,414,[2_1|2]), (515,432,[2_1|2]), (515,443,[2_1|2]), (515,457,[2_1|2]), (515,486,[2_1|2]), (515,502,[2_1|2]), (515,220,[2_1|2]), (515,196,[2_1|2]), (515,202,[2_1|2]), (515,210,[4_1|2]), (515,219,[2_1|2]), (515,235,[2_1|2]), (516,517,[3_1|2]), (517,518,[1_1|2]), (518,519,[5_1|2]), (519,520,[2_1|2]), (520,521,[0_1|2]), (521,522,[4_1|2]), (522,523,[0_1|2]), (523,524,[2_1|2]), (524,525,[1_1|2]), (525,526,[1_1|2]), (526,527,[2_1|2]), (527,528,[0_1|2]), (528,529,[0_1|2]), (529,530,[3_1|2]), (530,531,[2_1|2]), (531,153,[4_1|2]), (531,210,[4_1|2]), (531,383,[4_1|2]), (531,356,[0_1|2]), (531,365,[0_1|2]), (531,396,[1_1|2]), (531,414,[3_1|2]), (532,533,[3_1|2]), (533,534,[3_1|2]), (534,535,[0_1|2]), (535,536,[4_1|2]), (536,537,[3_1|2]), (537,538,[4_1|2]), (538,539,[4_1|2]), (539,540,[0_1|2]), (540,541,[2_1|2]), (541,542,[4_1|2]), (542,543,[2_1|2]), (543,544,[1_1|2]), (544,545,[5_1|2]), (545,546,[3_1|2]), (546,547,[5_1|2]), (547,548,[1_1|2]), (548,153,[4_1|2]), (548,159,[4_1|2]), (548,414,[4_1|2, 3_1|2]), (548,432,[4_1|2]), (548,443,[4_1|2]), (548,457,[4_1|2]), (548,486,[4_1|2]), (548,502,[4_1|2]), (548,356,[0_1|2]), (548,365,[0_1|2]), (548,383,[4_1|2]), (548,396,[1_1|2]), (549,550,[5_1|2]), (550,551,[0_1|2]), (551,552,[2_1|2]), (552,553,[3_1|2]), (553,554,[5_1|2]), (554,555,[5_1|2]), (555,556,[3_1|2]), (556,557,[3_1|2]), (557,558,[4_1|2]), (558,559,[3_1|2]), (559,560,[1_1|2]), (560,561,[3_1|2]), (561,562,[3_1|2]), (562,563,[3_1|2]), (563,564,[2_1|2]), (564,565,[0_1|2]), (565,566,[0_1|2]), (566,567,[0_1|2]), (567,568,[3_1|2]), (567,502,[3_1|2]), (568,153,[5_1|2]), (568,169,[5_1|2]), (568,177,[5_1|2]), (568,356,[5_1|2]), (568,365,[5_1|2]), (568,475,[5_1|2]), (568,444,[5_1|2]), (568,516,[5_1|2]), (568,532,[5_1|2]), (568,549,[5_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)