/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 45 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 118 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(1(2(x1))))) -> 1(3(3(2(x1)))) 0(0(3(0(0(4(x1)))))) -> 5(1(5(2(2(x1))))) 3(2(1(2(1(4(x1)))))) -> 4(4(3(5(1(4(x1)))))) 4(2(3(0(3(4(x1)))))) -> 4(2(2(1(0(x1))))) 5(2(5(5(4(3(x1)))))) -> 1(1(4(4(3(x1))))) 1(4(1(4(3(1(2(x1))))))) -> 1(3(2(0(1(2(5(x1))))))) 2(5(4(2(5(5(2(x1))))))) -> 2(1(2(2(0(2(x1)))))) 3(3(2(3(5(5(0(x1))))))) -> 4(3(5(1(2(1(x1)))))) 5(3(3(4(0(1(4(x1))))))) -> 5(1(1(4(1(4(x1)))))) 0(4(5(5(3(5(1(2(1(3(x1)))))))))) -> 3(2(2(3(1(5(0(2(5(x1))))))))) 2(5(5(0(2(5(3(5(0(3(x1)))))))))) -> 2(0(5(3(3(0(2(2(0(x1))))))))) 5(5(0(1(2(1(4(3(0(4(x1)))))))))) -> 2(2(5(4(3(4(1(0(4(x1))))))))) 4(2(4(1(0(4(4(0(3(4(3(x1))))))))))) -> 4(2(2(5(5(3(1(2(4(4(3(x1))))))))))) 0(1(0(1(3(2(2(4(0(4(1(2(x1)))))))))))) -> 4(4(4(3(5(0(0(2(5(1(3(4(x1)))))))))))) 3(5(5(1(4(4(1(3(2(0(4(0(x1)))))))))))) -> 4(1(1(5(1(5(2(1(1(5(3(1(x1)))))))))))) 0(0(2(4(2(5(2(5(0(4(4(5(4(x1))))))))))))) -> 4(5(0(3(1(1(1(0(0(0(1(2(5(x1))))))))))))) 0(5(0(5(2(5(2(3(0(2(5(5(5(x1))))))))))))) -> 0(3(0(2(0(5(0(4(2(5(2(3(x1)))))))))))) 4(4(0(0(4(4(0(5(0(5(2(0(2(x1))))))))))))) -> 4(5(5(2(3(3(3(4(1(2(2(2(x1)))))))))))) 0(1(3(0(5(5(4(3(1(2(2(4(0(4(3(x1))))))))))))))) -> 2(5(5(2(3(3(1(1(0(5(1(5(0(2(x1)))))))))))))) 5(2(0(2(2(2(4(0(2(1(3(4(5(5(3(x1))))))))))))))) -> 2(5(0(3(2(2(3(0(0(3(3(0(4(1(3(x1))))))))))))))) 5(5(1(5(3(3(5(2(0(2(0(4(5(5(2(x1))))))))))))))) -> 1(2(0(5(5(5(4(0(4(4(5(2(3(3(2(x1))))))))))))))) 1(5(0(5(4(0(0(2(5(3(2(3(0(5(5(3(x1)))))))))))))))) -> 1(2(3(3(0(0(3(1(2(0(1(0(0(0(4(x1))))))))))))))) 2(1(5(1(1(3(3(4(5(0(2(1(3(1(3(0(4(x1))))))))))))))))) -> 2(5(0(3(5(0(0(5(5(5(2(5(3(3(2(1(5(4(x1)))))))))))))))))) 5(2(1(1(0(2(4(2(3(0(5(1(5(4(2(2(4(x1))))))))))))))))) -> 2(3(0(2(5(5(3(1(5(3(4(2(4(2(1(2(4(x1))))))))))))))))) 0(1(5(5(4(2(4(5(5(1(2(4(1(2(1(5(2(1(3(x1))))))))))))))))))) -> 2(5(1(1(0(5(3(5(0(3(3(4(2(0(1(1(4(2(x1)))))))))))))))))) 2(0(3(2(0(2(0(2(5(4(2(5(2(4(0(4(0(5(1(x1))))))))))))))))))) -> 2(2(1(3(0(4(0(2(2(4(0(5(4(0(5(0(2(1(x1)))))))))))))))))) 2(3(0(0(4(5(4(0(0(0(4(5(5(5(0(3(5(1(3(x1))))))))))))))))))) -> 2(5(4(5(3(5(5(5(3(1(2(3(5(4(5(0(0(3(1(x1))))))))))))))))))) 1(5(2(1(1(5(5(4(4(5(2(3(2(0(1(5(1(5(5(4(3(x1))))))))))))))))))))) -> 1(3(4(1(4(0(0(1(4(0(5(3(5(3(4(0(0(2(1(x1))))))))))))))))))) 3(5(0(3(4(0(2(1(4(4(1(5(4(5(3(4(5(5(1(3(5(x1))))))))))))))))))))) -> 4(4(1(0(2(4(5(4(1(0(3(4(0(1(4(1(1(4(2(0(x1)))))))))))))))))))) 5(3(1(2(1(5(3(1(4(5(5(3(0(3(0(2(0(2(3(4(1(x1))))))))))))))))))))) -> 5(5(1(1(4(0(4(2(0(5(4(3(1(1(3(3(5(1(4(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(cons_0(x_1)) -> 0(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)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(1(2(x1))))) -> 1(3(3(2(x1)))) 0(0(3(0(0(4(x1)))))) -> 5(1(5(2(2(x1))))) 3(2(1(2(1(4(x1)))))) -> 4(4(3(5(1(4(x1)))))) 4(2(3(0(3(4(x1)))))) -> 4(2(2(1(0(x1))))) 5(2(5(5(4(3(x1)))))) -> 1(1(4(4(3(x1))))) 1(4(1(4(3(1(2(x1))))))) -> 1(3(2(0(1(2(5(x1))))))) 2(5(4(2(5(5(2(x1))))))) -> 2(1(2(2(0(2(x1)))))) 3(3(2(3(5(5(0(x1))))))) -> 4(3(5(1(2(1(x1)))))) 5(3(3(4(0(1(4(x1))))))) -> 5(1(1(4(1(4(x1)))))) 0(4(5(5(3(5(1(2(1(3(x1)))))))))) -> 3(2(2(3(1(5(0(2(5(x1))))))))) 2(5(5(0(2(5(3(5(0(3(x1)))))))))) -> 2(0(5(3(3(0(2(2(0(x1))))))))) 5(5(0(1(2(1(4(3(0(4(x1)))))))))) -> 2(2(5(4(3(4(1(0(4(x1))))))))) 4(2(4(1(0(4(4(0(3(4(3(x1))))))))))) -> 4(2(2(5(5(3(1(2(4(4(3(x1))))))))))) 0(1(0(1(3(2(2(4(0(4(1(2(x1)))))))))))) -> 4(4(4(3(5(0(0(2(5(1(3(4(x1)))))))))))) 3(5(5(1(4(4(1(3(2(0(4(0(x1)))))))))))) -> 4(1(1(5(1(5(2(1(1(5(3(1(x1)))))))))))) 0(0(2(4(2(5(2(5(0(4(4(5(4(x1))))))))))))) -> 4(5(0(3(1(1(1(0(0(0(1(2(5(x1))))))))))))) 0(5(0(5(2(5(2(3(0(2(5(5(5(x1))))))))))))) -> 0(3(0(2(0(5(0(4(2(5(2(3(x1)))))))))))) 4(4(0(0(4(4(0(5(0(5(2(0(2(x1))))))))))))) -> 4(5(5(2(3(3(3(4(1(2(2(2(x1)))))))))))) 0(1(3(0(5(5(4(3(1(2(2(4(0(4(3(x1))))))))))))))) -> 2(5(5(2(3(3(1(1(0(5(1(5(0(2(x1)))))))))))))) 5(2(0(2(2(2(4(0(2(1(3(4(5(5(3(x1))))))))))))))) -> 2(5(0(3(2(2(3(0(0(3(3(0(4(1(3(x1))))))))))))))) 5(5(1(5(3(3(5(2(0(2(0(4(5(5(2(x1))))))))))))))) -> 1(2(0(5(5(5(4(0(4(4(5(2(3(3(2(x1))))))))))))))) 1(5(0(5(4(0(0(2(5(3(2(3(0(5(5(3(x1)))))))))))))))) -> 1(2(3(3(0(0(3(1(2(0(1(0(0(0(4(x1))))))))))))))) 2(1(5(1(1(3(3(4(5(0(2(1(3(1(3(0(4(x1))))))))))))))))) -> 2(5(0(3(5(0(0(5(5(5(2(5(3(3(2(1(5(4(x1)))))))))))))))))) 5(2(1(1(0(2(4(2(3(0(5(1(5(4(2(2(4(x1))))))))))))))))) -> 2(3(0(2(5(5(3(1(5(3(4(2(4(2(1(2(4(x1))))))))))))))))) 0(1(5(5(4(2(4(5(5(1(2(4(1(2(1(5(2(1(3(x1))))))))))))))))))) -> 2(5(1(1(0(5(3(5(0(3(3(4(2(0(1(1(4(2(x1)))))))))))))))))) 2(0(3(2(0(2(0(2(5(4(2(5(2(4(0(4(0(5(1(x1))))))))))))))))))) -> 2(2(1(3(0(4(0(2(2(4(0(5(4(0(5(0(2(1(x1)))))))))))))))))) 2(3(0(0(4(5(4(0(0(0(4(5(5(5(0(3(5(1(3(x1))))))))))))))))))) -> 2(5(4(5(3(5(5(5(3(1(2(3(5(4(5(0(0(3(1(x1))))))))))))))))))) 1(5(2(1(1(5(5(4(4(5(2(3(2(0(1(5(1(5(5(4(3(x1))))))))))))))))))))) -> 1(3(4(1(4(0(0(1(4(0(5(3(5(3(4(0(0(2(1(x1))))))))))))))))))) 3(5(0(3(4(0(2(1(4(4(1(5(4(5(3(4(5(5(1(3(5(x1))))))))))))))))))))) -> 4(4(1(0(2(4(5(4(1(0(3(4(0(1(4(1(1(4(2(0(x1)))))))))))))))))))) 5(3(1(2(1(5(3(1(4(5(5(3(0(3(0(2(0(2(3(4(1(x1))))))))))))))))))))) -> 5(5(1(1(4(0(4(2(0(5(4(3(1(1(3(3(5(1(4(1(x1)))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(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)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(1(2(x1))))) -> 1(3(3(2(x1)))) 0(0(3(0(0(4(x1)))))) -> 5(1(5(2(2(x1))))) 3(2(1(2(1(4(x1)))))) -> 4(4(3(5(1(4(x1)))))) 4(2(3(0(3(4(x1)))))) -> 4(2(2(1(0(x1))))) 5(2(5(5(4(3(x1)))))) -> 1(1(4(4(3(x1))))) 1(4(1(4(3(1(2(x1))))))) -> 1(3(2(0(1(2(5(x1))))))) 2(5(4(2(5(5(2(x1))))))) -> 2(1(2(2(0(2(x1)))))) 3(3(2(3(5(5(0(x1))))))) -> 4(3(5(1(2(1(x1)))))) 5(3(3(4(0(1(4(x1))))))) -> 5(1(1(4(1(4(x1)))))) 0(4(5(5(3(5(1(2(1(3(x1)))))))))) -> 3(2(2(3(1(5(0(2(5(x1))))))))) 2(5(5(0(2(5(3(5(0(3(x1)))))))))) -> 2(0(5(3(3(0(2(2(0(x1))))))))) 5(5(0(1(2(1(4(3(0(4(x1)))))))))) -> 2(2(5(4(3(4(1(0(4(x1))))))))) 4(2(4(1(0(4(4(0(3(4(3(x1))))))))))) -> 4(2(2(5(5(3(1(2(4(4(3(x1))))))))))) 0(1(0(1(3(2(2(4(0(4(1(2(x1)))))))))))) -> 4(4(4(3(5(0(0(2(5(1(3(4(x1)))))))))))) 3(5(5(1(4(4(1(3(2(0(4(0(x1)))))))))))) -> 4(1(1(5(1(5(2(1(1(5(3(1(x1)))))))))))) 0(0(2(4(2(5(2(5(0(4(4(5(4(x1))))))))))))) -> 4(5(0(3(1(1(1(0(0(0(1(2(5(x1))))))))))))) 0(5(0(5(2(5(2(3(0(2(5(5(5(x1))))))))))))) -> 0(3(0(2(0(5(0(4(2(5(2(3(x1)))))))))))) 4(4(0(0(4(4(0(5(0(5(2(0(2(x1))))))))))))) -> 4(5(5(2(3(3(3(4(1(2(2(2(x1)))))))))))) 0(1(3(0(5(5(4(3(1(2(2(4(0(4(3(x1))))))))))))))) -> 2(5(5(2(3(3(1(1(0(5(1(5(0(2(x1)))))))))))))) 5(2(0(2(2(2(4(0(2(1(3(4(5(5(3(x1))))))))))))))) -> 2(5(0(3(2(2(3(0(0(3(3(0(4(1(3(x1))))))))))))))) 5(5(1(5(3(3(5(2(0(2(0(4(5(5(2(x1))))))))))))))) -> 1(2(0(5(5(5(4(0(4(4(5(2(3(3(2(x1))))))))))))))) 1(5(0(5(4(0(0(2(5(3(2(3(0(5(5(3(x1)))))))))))))))) -> 1(2(3(3(0(0(3(1(2(0(1(0(0(0(4(x1))))))))))))))) 2(1(5(1(1(3(3(4(5(0(2(1(3(1(3(0(4(x1))))))))))))))))) -> 2(5(0(3(5(0(0(5(5(5(2(5(3(3(2(1(5(4(x1)))))))))))))))))) 5(2(1(1(0(2(4(2(3(0(5(1(5(4(2(2(4(x1))))))))))))))))) -> 2(3(0(2(5(5(3(1(5(3(4(2(4(2(1(2(4(x1))))))))))))))))) 0(1(5(5(4(2(4(5(5(1(2(4(1(2(1(5(2(1(3(x1))))))))))))))))))) -> 2(5(1(1(0(5(3(5(0(3(3(4(2(0(1(1(4(2(x1)))))))))))))))))) 2(0(3(2(0(2(0(2(5(4(2(5(2(4(0(4(0(5(1(x1))))))))))))))))))) -> 2(2(1(3(0(4(0(2(2(4(0(5(4(0(5(0(2(1(x1)))))))))))))))))) 2(3(0(0(4(5(4(0(0(0(4(5(5(5(0(3(5(1(3(x1))))))))))))))))))) -> 2(5(4(5(3(5(5(5(3(1(2(3(5(4(5(0(0(3(1(x1))))))))))))))))))) 1(5(2(1(1(5(5(4(4(5(2(3(2(0(1(5(1(5(5(4(3(x1))))))))))))))))))))) -> 1(3(4(1(4(0(0(1(4(0(5(3(5(3(4(0(0(2(1(x1))))))))))))))))))) 3(5(0(3(4(0(2(1(4(4(1(5(4(5(3(4(5(5(1(3(5(x1))))))))))))))))))))) -> 4(4(1(0(2(4(5(4(1(0(3(4(0(1(4(1(1(4(2(0(x1)))))))))))))))))))) 5(3(1(2(1(5(3(1(4(5(5(3(0(3(0(2(0(2(3(4(1(x1))))))))))))))))))))) -> 5(5(1(1(4(0(4(2(0(5(4(3(1(1(3(3(5(1(4(1(x1)))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(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)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(1(2(x1))))) -> 1(3(3(2(x1)))) 0(0(3(0(0(4(x1)))))) -> 5(1(5(2(2(x1))))) 3(2(1(2(1(4(x1)))))) -> 4(4(3(5(1(4(x1)))))) 4(2(3(0(3(4(x1)))))) -> 4(2(2(1(0(x1))))) 5(2(5(5(4(3(x1)))))) -> 1(1(4(4(3(x1))))) 1(4(1(4(3(1(2(x1))))))) -> 1(3(2(0(1(2(5(x1))))))) 2(5(4(2(5(5(2(x1))))))) -> 2(1(2(2(0(2(x1)))))) 3(3(2(3(5(5(0(x1))))))) -> 4(3(5(1(2(1(x1)))))) 5(3(3(4(0(1(4(x1))))))) -> 5(1(1(4(1(4(x1)))))) 0(4(5(5(3(5(1(2(1(3(x1)))))))))) -> 3(2(2(3(1(5(0(2(5(x1))))))))) 2(5(5(0(2(5(3(5(0(3(x1)))))))))) -> 2(0(5(3(3(0(2(2(0(x1))))))))) 5(5(0(1(2(1(4(3(0(4(x1)))))))))) -> 2(2(5(4(3(4(1(0(4(x1))))))))) 4(2(4(1(0(4(4(0(3(4(3(x1))))))))))) -> 4(2(2(5(5(3(1(2(4(4(3(x1))))))))))) 0(1(0(1(3(2(2(4(0(4(1(2(x1)))))))))))) -> 4(4(4(3(5(0(0(2(5(1(3(4(x1)))))))))))) 3(5(5(1(4(4(1(3(2(0(4(0(x1)))))))))))) -> 4(1(1(5(1(5(2(1(1(5(3(1(x1)))))))))))) 0(0(2(4(2(5(2(5(0(4(4(5(4(x1))))))))))))) -> 4(5(0(3(1(1(1(0(0(0(1(2(5(x1))))))))))))) 0(5(0(5(2(5(2(3(0(2(5(5(5(x1))))))))))))) -> 0(3(0(2(0(5(0(4(2(5(2(3(x1)))))))))))) 4(4(0(0(4(4(0(5(0(5(2(0(2(x1))))))))))))) -> 4(5(5(2(3(3(3(4(1(2(2(2(x1)))))))))))) 0(1(3(0(5(5(4(3(1(2(2(4(0(4(3(x1))))))))))))))) -> 2(5(5(2(3(3(1(1(0(5(1(5(0(2(x1)))))))))))))) 5(2(0(2(2(2(4(0(2(1(3(4(5(5(3(x1))))))))))))))) -> 2(5(0(3(2(2(3(0(0(3(3(0(4(1(3(x1))))))))))))))) 5(5(1(5(3(3(5(2(0(2(0(4(5(5(2(x1))))))))))))))) -> 1(2(0(5(5(5(4(0(4(4(5(2(3(3(2(x1))))))))))))))) 1(5(0(5(4(0(0(2(5(3(2(3(0(5(5(3(x1)))))))))))))))) -> 1(2(3(3(0(0(3(1(2(0(1(0(0(0(4(x1))))))))))))))) 2(1(5(1(1(3(3(4(5(0(2(1(3(1(3(0(4(x1))))))))))))))))) -> 2(5(0(3(5(0(0(5(5(5(2(5(3(3(2(1(5(4(x1)))))))))))))))))) 5(2(1(1(0(2(4(2(3(0(5(1(5(4(2(2(4(x1))))))))))))))))) -> 2(3(0(2(5(5(3(1(5(3(4(2(4(2(1(2(4(x1))))))))))))))))) 0(1(5(5(4(2(4(5(5(1(2(4(1(2(1(5(2(1(3(x1))))))))))))))))))) -> 2(5(1(1(0(5(3(5(0(3(3(4(2(0(1(1(4(2(x1)))))))))))))))))) 2(0(3(2(0(2(0(2(5(4(2(5(2(4(0(4(0(5(1(x1))))))))))))))))))) -> 2(2(1(3(0(4(0(2(2(4(0(5(4(0(5(0(2(1(x1)))))))))))))))))) 2(3(0(0(4(5(4(0(0(0(4(5(5(5(0(3(5(1(3(x1))))))))))))))))))) -> 2(5(4(5(3(5(5(5(3(1(2(3(5(4(5(0(0(3(1(x1))))))))))))))))))) 1(5(2(1(1(5(5(4(4(5(2(3(2(0(1(5(1(5(5(4(3(x1))))))))))))))))))))) -> 1(3(4(1(4(0(0(1(4(0(5(3(5(3(4(0(0(2(1(x1))))))))))))))))))) 3(5(0(3(4(0(2(1(4(4(1(5(4(5(3(4(5(5(1(3(5(x1))))))))))))))))))))) -> 4(4(1(0(2(4(5(4(1(0(3(4(0(1(4(1(1(4(2(0(x1)))))))))))))))))))) 5(3(1(2(1(5(3(1(4(5(5(3(0(3(0(2(0(2(3(4(1(x1))))))))))))))))))))) -> 5(5(1(1(4(0(4(2(0(5(4(3(1(1(3(3(5(1(4(1(x1)))))))))))))))))))) encArg(cons_0(x_1)) -> 0(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)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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. "[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] {(148,149,[0_1|0, 3_1|0, 4_1|0, 5_1|0, 1_1|0, 2_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (148,150,[0_1|1, 3_1|1, 4_1|1, 5_1|1, 1_1|1, 2_1|1]), (148,151,[1_1|2]), (148,154,[4_1|2]), (148,165,[2_1|2]), (148,178,[2_1|2]), (148,195,[5_1|2]), (148,199,[4_1|2]), (148,211,[3_1|2]), (148,219,[0_1|2]), (148,230,[4_1|2]), (148,235,[4_1|2]), (148,240,[4_1|2]), (148,251,[4_1|2]), (148,270,[4_1|2]), (148,274,[4_1|2]), (148,284,[4_1|2]), (148,295,[1_1|2]), (148,299,[2_1|2]), (148,313,[2_1|2]), (148,329,[5_1|2]), (148,334,[5_1|2]), (148,353,[2_1|2]), (148,361,[1_1|2]), (148,375,[1_1|2]), (148,381,[1_1|2]), (148,395,[1_1|2]), (148,413,[2_1|2]), (148,418,[2_1|2]), (148,426,[2_1|2]), (148,443,[2_1|2]), (148,460,[2_1|2]), (149,149,[cons_0_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0, cons_1_1|0, cons_2_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 3_1|1, 4_1|1, 5_1|1, 1_1|1, 2_1|1]), (150,151,[1_1|2]), (150,154,[4_1|2]), (150,165,[2_1|2]), (150,178,[2_1|2]), (150,195,[5_1|2]), (150,199,[4_1|2]), (150,211,[3_1|2]), (150,219,[0_1|2]), (150,230,[4_1|2]), (150,235,[4_1|2]), (150,240,[4_1|2]), (150,251,[4_1|2]), (150,270,[4_1|2]), (150,274,[4_1|2]), (150,284,[4_1|2]), (150,295,[1_1|2]), (150,299,[2_1|2]), (150,313,[2_1|2]), (150,329,[5_1|2]), (150,334,[5_1|2]), (150,353,[2_1|2]), (150,361,[1_1|2]), (150,375,[1_1|2]), (150,381,[1_1|2]), (150,395,[1_1|2]), (150,413,[2_1|2]), (150,418,[2_1|2]), (150,426,[2_1|2]), (150,443,[2_1|2]), (150,460,[2_1|2]), (151,152,[3_1|2]), (151,235,[4_1|2]), (152,153,[3_1|2]), (152,230,[4_1|2]), (153,150,[2_1|2]), (153,165,[2_1|2]), (153,178,[2_1|2]), (153,299,[2_1|2]), (153,313,[2_1|2]), (153,353,[2_1|2]), (153,413,[2_1|2]), (153,418,[2_1|2]), (153,426,[2_1|2]), (153,443,[2_1|2]), (153,460,[2_1|2]), (153,362,[2_1|2]), (153,382,[2_1|2]), (154,155,[4_1|2]), (155,156,[4_1|2]), (156,157,[3_1|2]), (157,158,[5_1|2]), (158,159,[0_1|2]), (159,160,[0_1|2]), (160,161,[2_1|2]), (161,162,[5_1|2]), (162,163,[1_1|2]), (163,164,[3_1|2]), (164,150,[4_1|2]), (164,165,[4_1|2]), (164,178,[4_1|2]), (164,299,[4_1|2]), (164,313,[4_1|2]), (164,353,[4_1|2]), (164,413,[4_1|2]), (164,418,[4_1|2]), (164,426,[4_1|2]), (164,443,[4_1|2]), (164,460,[4_1|2]), (164,362,[4_1|2]), (164,382,[4_1|2]), (164,270,[4_1|2]), (164,274,[4_1|2]), (164,284,[4_1|2]), (165,166,[5_1|2]), (166,167,[5_1|2]), (167,168,[2_1|2]), (168,169,[3_1|2]), (169,170,[3_1|2]), (170,171,[1_1|2]), (171,172,[1_1|2]), (172,173,[0_1|2]), (173,174,[5_1|2]), (174,175,[1_1|2]), (175,176,[5_1|2]), (176,177,[0_1|2]), (177,150,[2_1|2]), (177,211,[2_1|2]), (177,236,[2_1|2]), (177,413,[2_1|2]), (177,418,[2_1|2]), (177,426,[2_1|2]), (177,443,[2_1|2]), (177,460,[2_1|2]), (178,179,[5_1|2]), (179,180,[1_1|2]), (180,181,[1_1|2]), (181,182,[0_1|2]), (182,183,[5_1|2]), (183,184,[3_1|2]), (184,185,[5_1|2]), (185,186,[0_1|2]), (186,187,[3_1|2]), (187,188,[3_1|2]), (188,189,[4_1|2]), (189,190,[2_1|2]), (190,191,[0_1|2]), (191,192,[1_1|2]), (192,193,[1_1|2]), (193,194,[4_1|2]), (193,270,[4_1|2]), (193,274,[4_1|2]), (194,150,[2_1|2]), (194,211,[2_1|2]), (194,152,[2_1|2]), (194,376,[2_1|2]), (194,396,[2_1|2]), (194,413,[2_1|2]), (194,418,[2_1|2]), (194,426,[2_1|2]), (194,443,[2_1|2]), (194,460,[2_1|2]), (195,196,[1_1|2]), (196,197,[5_1|2]), (197,198,[2_1|2]), (198,150,[2_1|2]), (198,154,[2_1|2]), (198,199,[2_1|2]), (198,230,[2_1|2]), (198,235,[2_1|2]), (198,240,[2_1|2]), (198,251,[2_1|2]), (198,270,[2_1|2]), (198,274,[2_1|2]), (198,284,[2_1|2]), (198,413,[2_1|2]), (198,418,[2_1|2]), (198,426,[2_1|2]), (198,443,[2_1|2]), (198,460,[2_1|2]), (199,200,[5_1|2]), (200,201,[0_1|2]), (201,202,[3_1|2]), (202,203,[1_1|2]), (203,204,[1_1|2]), (204,205,[1_1|2]), (205,206,[0_1|2]), (206,207,[0_1|2]), (207,208,[0_1|2]), (208,209,[1_1|2]), (209,210,[2_1|2]), (209,413,[2_1|2]), (209,418,[2_1|2]), (210,150,[5_1|2]), (210,154,[5_1|2]), (210,199,[5_1|2]), (210,230,[5_1|2]), (210,235,[5_1|2]), (210,240,[5_1|2]), (210,251,[5_1|2]), (210,270,[5_1|2]), (210,274,[5_1|2]), (210,284,[5_1|2]), (210,295,[1_1|2]), (210,299,[2_1|2]), (210,313,[2_1|2]), (210,329,[5_1|2]), (210,334,[5_1|2]), (210,353,[2_1|2]), (210,361,[1_1|2]), (211,212,[2_1|2]), (212,213,[2_1|2]), (213,214,[3_1|2]), (214,215,[1_1|2]), (215,216,[5_1|2]), (216,217,[0_1|2]), (217,218,[2_1|2]), (217,413,[2_1|2]), (217,418,[2_1|2]), (218,150,[5_1|2]), (218,211,[5_1|2]), (218,152,[5_1|2]), (218,376,[5_1|2]), (218,396,[5_1|2]), (218,295,[1_1|2]), (218,299,[2_1|2]), (218,313,[2_1|2]), (218,329,[5_1|2]), (218,334,[5_1|2]), (218,353,[2_1|2]), (218,361,[1_1|2]), (219,220,[3_1|2]), (220,221,[0_1|2]), (221,222,[2_1|2]), (222,223,[0_1|2]), (223,224,[5_1|2]), (224,225,[0_1|2]), (225,226,[4_1|2]), (226,227,[2_1|2]), (227,228,[5_1|2]), (228,229,[2_1|2]), (228,460,[2_1|2]), (229,150,[3_1|2]), (229,195,[3_1|2]), (229,329,[3_1|2]), (229,334,[3_1|2]), (229,335,[3_1|2]), (229,230,[4_1|2]), (229,235,[4_1|2]), (229,240,[4_1|2]), (229,251,[4_1|2]), (230,231,[4_1|2]), (231,232,[3_1|2]), (232,233,[5_1|2]), (233,234,[1_1|2]), (233,375,[1_1|2]), (234,150,[4_1|2]), (234,154,[4_1|2]), (234,199,[4_1|2]), (234,230,[4_1|2]), (234,235,[4_1|2]), (234,240,[4_1|2]), (234,251,[4_1|2]), (234,270,[4_1|2]), (234,274,[4_1|2]), (234,284,[4_1|2]), (235,236,[3_1|2]), (236,237,[5_1|2]), (237,238,[1_1|2]), (238,239,[2_1|2]), (238,426,[2_1|2]), (239,150,[1_1|2]), (239,219,[1_1|2]), (239,375,[1_1|2]), (239,381,[1_1|2]), (239,395,[1_1|2]), (240,241,[1_1|2]), (241,242,[1_1|2]), (242,243,[5_1|2]), (243,244,[1_1|2]), (244,245,[5_1|2]), (245,246,[2_1|2]), (246,247,[1_1|2]), (247,248,[1_1|2]), (248,249,[5_1|2]), (248,334,[5_1|2]), (249,250,[3_1|2]), (250,150,[1_1|2]), (250,219,[1_1|2]), (250,375,[1_1|2]), (250,381,[1_1|2]), (250,395,[1_1|2]), (251,252,[4_1|2]), (252,253,[1_1|2]), (253,254,[0_1|2]), (254,255,[2_1|2]), (255,256,[4_1|2]), (256,257,[5_1|2]), (257,258,[4_1|2]), (258,259,[1_1|2]), (259,260,[0_1|2]), (260,261,[3_1|2]), (261,262,[4_1|2]), (262,263,[0_1|2]), (263,264,[1_1|2]), (264,265,[4_1|2]), (265,266,[1_1|2]), (266,267,[1_1|2]), (267,268,[4_1|2]), (268,269,[2_1|2]), (268,443,[2_1|2]), (269,150,[0_1|2]), (269,195,[0_1|2, 5_1|2]), (269,329,[0_1|2]), (269,334,[0_1|2]), (269,151,[1_1|2]), (269,154,[4_1|2]), (269,165,[2_1|2]), (269,178,[2_1|2]), (269,199,[4_1|2]), (269,211,[3_1|2]), (269,219,[0_1|2]), (270,271,[2_1|2]), (271,272,[2_1|2]), (272,273,[1_1|2]), (273,150,[0_1|2]), (273,154,[0_1|2, 4_1|2]), (273,199,[0_1|2, 4_1|2]), (273,230,[0_1|2]), (273,235,[0_1|2]), (273,240,[0_1|2]), (273,251,[0_1|2]), (273,270,[0_1|2]), (273,274,[0_1|2]), (273,284,[0_1|2]), (273,151,[1_1|2]), (273,165,[2_1|2]), (273,178,[2_1|2]), (273,195,[5_1|2]), (273,211,[3_1|2]), (273,219,[0_1|2]), (274,275,[2_1|2]), (275,276,[2_1|2]), (276,277,[5_1|2]), (277,278,[5_1|2]), (278,279,[3_1|2]), (279,280,[1_1|2]), (280,281,[2_1|2]), (281,282,[4_1|2]), (282,283,[4_1|2]), (283,150,[3_1|2]), (283,211,[3_1|2]), (283,236,[3_1|2]), (283,230,[4_1|2]), (283,235,[4_1|2]), (283,240,[4_1|2]), (283,251,[4_1|2]), (284,285,[5_1|2]), (285,286,[5_1|2]), (286,287,[2_1|2]), (287,288,[3_1|2]), (288,289,[3_1|2]), (289,290,[3_1|2]), (290,291,[4_1|2]), (291,292,[1_1|2]), (292,293,[2_1|2]), (293,294,[2_1|2]), (294,150,[2_1|2]), (294,165,[2_1|2]), (294,178,[2_1|2]), (294,299,[2_1|2]), (294,313,[2_1|2]), (294,353,[2_1|2]), (294,413,[2_1|2]), (294,418,[2_1|2]), (294,426,[2_1|2]), (294,443,[2_1|2]), (294,460,[2_1|2]), (295,296,[1_1|2]), (296,297,[4_1|2]), (297,298,[4_1|2]), (298,150,[3_1|2]), (298,211,[3_1|2]), (298,236,[3_1|2]), (298,230,[4_1|2]), (298,235,[4_1|2]), (298,240,[4_1|2]), (298,251,[4_1|2]), (299,300,[5_1|2]), (300,301,[0_1|2]), (301,302,[3_1|2]), (302,303,[2_1|2]), (303,304,[2_1|2]), (304,305,[3_1|2]), (305,306,[0_1|2]), (306,307,[0_1|2]), (307,308,[3_1|2]), (308,309,[3_1|2]), (309,310,[0_1|2]), (310,311,[4_1|2]), (311,312,[1_1|2]), (312,150,[3_1|2]), (312,211,[3_1|2]), (312,230,[4_1|2]), (312,235,[4_1|2]), (312,240,[4_1|2]), (312,251,[4_1|2]), (313,314,[3_1|2]), (314,315,[0_1|2]), (315,316,[2_1|2]), (316,317,[5_1|2]), (317,318,[5_1|2]), (318,319,[3_1|2]), (319,320,[1_1|2]), (320,321,[5_1|2]), (321,322,[3_1|2]), (322,323,[4_1|2]), (323,324,[2_1|2]), (324,325,[4_1|2]), (325,326,[2_1|2]), (326,327,[1_1|2]), (327,328,[2_1|2]), (328,150,[4_1|2]), (328,154,[4_1|2]), (328,199,[4_1|2]), (328,230,[4_1|2]), (328,235,[4_1|2]), (328,240,[4_1|2]), (328,251,[4_1|2]), (328,270,[4_1|2]), (328,274,[4_1|2]), (328,284,[4_1|2]), (329,330,[1_1|2]), (330,331,[1_1|2]), (330,375,[1_1|2]), (331,332,[4_1|2]), (332,333,[1_1|2]), (332,375,[1_1|2]), (333,150,[4_1|2]), (333,154,[4_1|2]), (333,199,[4_1|2]), (333,230,[4_1|2]), (333,235,[4_1|2]), (333,240,[4_1|2]), (333,251,[4_1|2]), (333,270,[4_1|2]), (333,274,[4_1|2]), (333,284,[4_1|2]), (334,335,[5_1|2]), (335,336,[1_1|2]), (336,337,[1_1|2]), (337,338,[4_1|2]), (338,339,[0_1|2]), (339,340,[4_1|2]), (340,341,[2_1|2]), (341,342,[0_1|2]), (342,343,[5_1|2]), (343,344,[4_1|2]), (344,345,[3_1|2]), (345,346,[1_1|2]), (346,347,[1_1|2]), (347,348,[3_1|2]), (348,349,[3_1|2]), (349,350,[5_1|2]), (350,351,[1_1|2]), (350,375,[1_1|2]), (351,352,[4_1|2]), (352,150,[1_1|2]), (352,151,[1_1|2]), (352,295,[1_1|2]), (352,361,[1_1|2]), (352,375,[1_1|2]), (352,381,[1_1|2]), (352,395,[1_1|2]), (352,241,[1_1|2]), (353,354,[2_1|2]), (354,355,[5_1|2]), (355,356,[4_1|2]), (356,357,[3_1|2]), (357,358,[4_1|2]), (358,359,[1_1|2]), (359,360,[0_1|2]), (359,211,[3_1|2]), (360,150,[4_1|2]), (360,154,[4_1|2]), (360,199,[4_1|2]), (360,230,[4_1|2]), (360,235,[4_1|2]), (360,240,[4_1|2]), (360,251,[4_1|2]), (360,270,[4_1|2]), (360,274,[4_1|2]), (360,284,[4_1|2]), (361,362,[2_1|2]), (362,363,[0_1|2]), (363,364,[5_1|2]), (364,365,[5_1|2]), (365,366,[5_1|2]), (366,367,[4_1|2]), (367,368,[0_1|2]), (368,369,[4_1|2]), (369,370,[4_1|2]), (370,371,[5_1|2]), (371,372,[2_1|2]), (372,373,[3_1|2]), (372,235,[4_1|2]), (373,374,[3_1|2]), (373,230,[4_1|2]), (374,150,[2_1|2]), (374,165,[2_1|2]), (374,178,[2_1|2]), (374,299,[2_1|2]), (374,313,[2_1|2]), (374,353,[2_1|2]), (374,413,[2_1|2]), (374,418,[2_1|2]), (374,426,[2_1|2]), (374,443,[2_1|2]), (374,460,[2_1|2]), (374,287,[2_1|2]), (375,376,[3_1|2]), (376,377,[2_1|2]), (377,378,[0_1|2]), (378,379,[1_1|2]), (379,380,[2_1|2]), (379,413,[2_1|2]), (379,418,[2_1|2]), (380,150,[5_1|2]), (380,165,[5_1|2]), (380,178,[5_1|2]), (380,299,[5_1|2, 2_1|2]), (380,313,[5_1|2, 2_1|2]), (380,353,[5_1|2, 2_1|2]), (380,413,[5_1|2]), (380,418,[5_1|2]), (380,426,[5_1|2]), (380,443,[5_1|2]), (380,460,[5_1|2]), (380,362,[5_1|2]), (380,382,[5_1|2]), (380,295,[1_1|2]), (380,329,[5_1|2]), (380,334,[5_1|2]), (380,361,[1_1|2]), (381,382,[2_1|2]), (382,383,[3_1|2]), (383,384,[3_1|2]), (384,385,[0_1|2]), (385,386,[0_1|2]), (386,387,[3_1|2]), (387,388,[1_1|2]), (388,389,[2_1|2]), (389,390,[0_1|2]), (390,391,[1_1|2]), (391,392,[0_1|2]), (392,393,[0_1|2]), (393,394,[0_1|2]), (393,211,[3_1|2]), (394,150,[4_1|2]), (394,211,[4_1|2]), (394,270,[4_1|2]), (394,274,[4_1|2]), (394,284,[4_1|2]), (395,396,[3_1|2]), (396,397,[4_1|2]), (397,398,[1_1|2]), (398,399,[4_1|2]), (399,400,[0_1|2]), (400,401,[0_1|2]), (401,402,[1_1|2]), (402,403,[4_1|2]), (403,404,[0_1|2]), (404,405,[5_1|2]), (405,406,[3_1|2]), (406,407,[5_1|2]), (407,408,[3_1|2]), (408,409,[4_1|2]), (409,410,[0_1|2]), (410,411,[0_1|2]), (411,412,[2_1|2]), (411,426,[2_1|2]), (412,150,[1_1|2]), (412,211,[1_1|2]), (412,236,[1_1|2]), (412,375,[1_1|2]), (412,381,[1_1|2]), (412,395,[1_1|2]), (413,414,[1_1|2]), (414,415,[2_1|2]), (415,416,[2_1|2]), (416,417,[0_1|2]), (417,150,[2_1|2]), (417,165,[2_1|2]), (417,178,[2_1|2]), (417,299,[2_1|2]), (417,313,[2_1|2]), (417,353,[2_1|2]), (417,413,[2_1|2]), (417,418,[2_1|2]), (417,426,[2_1|2]), (417,443,[2_1|2]), (417,460,[2_1|2]), (417,168,[2_1|2]), (418,419,[0_1|2]), (419,420,[5_1|2]), (420,421,[3_1|2]), (421,422,[3_1|2]), (422,423,[0_1|2]), (423,424,[2_1|2]), (424,425,[2_1|2]), (424,443,[2_1|2]), (425,150,[0_1|2]), (425,211,[0_1|2, 3_1|2]), (425,220,[0_1|2]), (425,151,[1_1|2]), (425,154,[4_1|2]), (425,165,[2_1|2]), (425,178,[2_1|2]), (425,195,[5_1|2]), (425,199,[4_1|2]), (425,219,[0_1|2]), (426,427,[5_1|2]), (427,428,[0_1|2]), (428,429,[3_1|2]), (429,430,[5_1|2]), (430,431,[0_1|2]), (431,432,[0_1|2]), (432,433,[5_1|2]), (433,434,[5_1|2]), (434,435,[5_1|2]), (435,436,[2_1|2]), (436,437,[5_1|2]), (437,438,[3_1|2]), (438,439,[3_1|2]), (439,440,[2_1|2]), (440,441,[1_1|2]), (441,442,[5_1|2]), (442,150,[4_1|2]), (442,154,[4_1|2]), (442,199,[4_1|2]), (442,230,[4_1|2]), (442,235,[4_1|2]), (442,240,[4_1|2]), (442,251,[4_1|2]), (442,270,[4_1|2]), (442,274,[4_1|2]), (442,284,[4_1|2]), (443,444,[2_1|2]), (444,445,[1_1|2]), (445,446,[3_1|2]), (446,447,[0_1|2]), (447,448,[4_1|2]), (448,449,[0_1|2]), (449,450,[2_1|2]), (450,451,[2_1|2]), (451,452,[4_1|2]), (452,453,[0_1|2]), (453,454,[5_1|2]), (454,455,[4_1|2]), (455,456,[0_1|2]), (456,457,[5_1|2]), (457,458,[0_1|2]), (458,459,[2_1|2]), (458,426,[2_1|2]), (459,150,[1_1|2]), (459,151,[1_1|2]), (459,295,[1_1|2]), (459,361,[1_1|2]), (459,375,[1_1|2]), (459,381,[1_1|2]), (459,395,[1_1|2]), (459,196,[1_1|2]), (459,330,[1_1|2]), (460,461,[5_1|2]), (461,462,[4_1|2]), (462,463,[5_1|2]), (463,464,[3_1|2]), (464,465,[5_1|2]), (465,466,[5_1|2]), (466,467,[5_1|2]), (467,468,[3_1|2]), (468,469,[1_1|2]), (469,470,[2_1|2]), (470,471,[3_1|2]), (471,472,[5_1|2]), (472,473,[4_1|2]), (473,474,[5_1|2]), (474,475,[0_1|2]), (475,476,[0_1|2]), (476,477,[3_1|2]), (477,150,[1_1|2]), (477,211,[1_1|2]), (477,152,[1_1|2]), (477,376,[1_1|2]), (477,396,[1_1|2]), (477,375,[1_1|2]), (477,381,[1_1|2]), (477,395,[1_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)