/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 53 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 83 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(0(1(x1)))) -> 2(2(1(x1))) 0(1(1(3(x1)))) -> 4(2(3(x1))) 2(3(0(2(1(x1))))) -> 2(2(1(2(1(x1))))) 3(0(0(1(4(x1))))) -> 2(4(0(4(x1)))) 4(4(5(0(1(x1))))) -> 3(0(0(2(x1)))) 5(0(5(1(1(x1))))) -> 3(2(2(2(x1)))) 1(0(5(4(1(0(x1)))))) -> 0(5(3(0(0(x1))))) 1(1(5(2(3(2(x1)))))) -> 1(3(3(3(0(x1))))) 4(0(5(0(1(0(x1)))))) -> 4(0(0(0(3(x1))))) 2(2(5(5(1(5(2(x1))))))) -> 4(0(1(1(3(4(3(x1))))))) 4(3(3(0(0(1(5(4(x1)))))))) -> 4(3(2(1(1(5(3(4(x1)))))))) 0(1(4(3(4(1(4(0(0(1(x1)))))))))) -> 0(3(1(2(2(5(0(4(1(x1))))))))) 3(2(2(5(2(0(1(5(4(0(4(1(x1)))))))))))) -> 3(4(1(4(3(1(1(0(4(1(3(1(x1)))))))))))) 4(1(5(2(2(2(3(5(3(0(1(4(x1)))))))))))) -> 4(5(3(5(5(5(0(0(3(1(4(x1))))))))))) 0(2(1(3(3(4(0(1(5(2(2(2(3(x1))))))))))))) -> 0(3(4(2(4(2(0(5(4(2(2(3(x1)))))))))))) 2(0(5(4(3(2(2(3(3(2(5(1(2(x1))))))))))))) -> 2(5(2(3(0(4(3(3(3(5(0(0(x1)))))))))))) 1(5(3(1(1(3(1(5(1(5(4(3(1(3(4(x1))))))))))))))) -> 2(3(5(2(2(1(4(1(2(5(4(3(4(x1))))))))))))) 5(0(5(0(3(3(0(2(5(0(2(1(4(4(0(x1))))))))))))))) -> 3(5(4(0(3(1(4(2(4(3(0(2(1(4(0(x1))))))))))))))) 5(1(5(4(3(0(4(0(2(0(2(4(3(1(5(x1))))))))))))))) -> 0(1(2(0(0(1(1(0(2(0(0(5(4(3(4(3(x1)))))))))))))))) 2(0(0(1(5(4(3(5(3(5(0(1(3(5(1(4(5(x1))))))))))))))))) -> 4(0(4(3(4(1(3(3(5(3(3(1(4(1(4(5(x1)))))))))))))))) 4(1(3(4(0(2(3(3(4(0(1(3(2(1(3(5(5(x1))))))))))))))))) -> 4(0(0(4(1(5(0(2(3(0(5(2(1(5(5(5(x1)))))))))))))))) 0(5(3(3(3(5(3(1(4(5(5(3(5(2(5(1(0(0(x1)))))))))))))))))) -> 3(5(1(0(1(5(5(0(4(2(5(2(5(5(3(5(0(x1))))))))))))))))) 5(4(2(0(5(1(3(2(0(2(1(4(2(2(1(3(1(0(x1)))))))))))))))))) -> 0(5(0(5(5(2(2(5(1(5(1(0(5(5(3(0(1(x1))))))))))))))))) 1(1(1(2(0(2(4(2(2(0(3(0(4(5(2(2(1(0(1(x1))))))))))))))))))) -> 3(5(3(0(4(5(0(3(5(3(2(4(1(1(3(1(1(5(4(x1))))))))))))))))))) 5(5(0(1(3(2(5(3(4(1(4(1(1(2(5(4(1(5(5(x1))))))))))))))))))) -> 5(3(3(3(2(0(5(4(1(2(2(4(2(0(4(3(5(x1))))))))))))))))) 0(4(3(2(2(5(1(5(0(0(0(1(1(1(2(4(2(1(0(5(x1)))))))))))))))))))) -> 0(4(0(2(2(5(0(0(1(5(3(4(5(2(5(0(5(3(3(x1))))))))))))))))))) 4(2(1(2(2(3(3(3(5(1(2(4(4(1(5(1(3(2(1(0(x1)))))))))))))))))))) -> 4(0(1(3(0(4(4(1(2(3(0(4(0(4(1(4(5(4(2(x1))))))))))))))))))) 5(4(4(1(2(1(5(1(5(2(1(2(5(5(2(1(5(1(1(5(x1)))))))))))))))))))) -> 4(2(0(3(2(5(1(1(5(5(1(2(4(4(0(1(3(4(5(x1))))))))))))))))))) 2(5(1(1(5(1(2(4(5(0(1(2(3(3(1(5(5(3(2(3(4(x1))))))))))))))))))))) -> 3(3(1(4(3(2(2(2(0(0(3(3(1(1(5(1(2(4(0(2(x1)))))))))))))))))))) 3(1(0(1(4(5(0(2(5(4(5(0(4(1(5(1(1(2(2(1(5(x1))))))))))))))))))))) -> 4(1(2(3(3(4(1(5(0(1(5(4(1(2(3(4(0(0(0(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_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)) 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(0(1(x1)))) -> 2(2(1(x1))) 0(1(1(3(x1)))) -> 4(2(3(x1))) 2(3(0(2(1(x1))))) -> 2(2(1(2(1(x1))))) 3(0(0(1(4(x1))))) -> 2(4(0(4(x1)))) 4(4(5(0(1(x1))))) -> 3(0(0(2(x1)))) 5(0(5(1(1(x1))))) -> 3(2(2(2(x1)))) 1(0(5(4(1(0(x1)))))) -> 0(5(3(0(0(x1))))) 1(1(5(2(3(2(x1)))))) -> 1(3(3(3(0(x1))))) 4(0(5(0(1(0(x1)))))) -> 4(0(0(0(3(x1))))) 2(2(5(5(1(5(2(x1))))))) -> 4(0(1(1(3(4(3(x1))))))) 4(3(3(0(0(1(5(4(x1)))))))) -> 4(3(2(1(1(5(3(4(x1)))))))) 0(1(4(3(4(1(4(0(0(1(x1)))))))))) -> 0(3(1(2(2(5(0(4(1(x1))))))))) 3(2(2(5(2(0(1(5(4(0(4(1(x1)))))))))))) -> 3(4(1(4(3(1(1(0(4(1(3(1(x1)))))))))))) 4(1(5(2(2(2(3(5(3(0(1(4(x1)))))))))))) -> 4(5(3(5(5(5(0(0(3(1(4(x1))))))))))) 0(2(1(3(3(4(0(1(5(2(2(2(3(x1))))))))))))) -> 0(3(4(2(4(2(0(5(4(2(2(3(x1)))))))))))) 2(0(5(4(3(2(2(3(3(2(5(1(2(x1))))))))))))) -> 2(5(2(3(0(4(3(3(3(5(0(0(x1)))))))))))) 1(5(3(1(1(3(1(5(1(5(4(3(1(3(4(x1))))))))))))))) -> 2(3(5(2(2(1(4(1(2(5(4(3(4(x1))))))))))))) 5(0(5(0(3(3(0(2(5(0(2(1(4(4(0(x1))))))))))))))) -> 3(5(4(0(3(1(4(2(4(3(0(2(1(4(0(x1))))))))))))))) 5(1(5(4(3(0(4(0(2(0(2(4(3(1(5(x1))))))))))))))) -> 0(1(2(0(0(1(1(0(2(0(0(5(4(3(4(3(x1)))))))))))))))) 2(0(0(1(5(4(3(5(3(5(0(1(3(5(1(4(5(x1))))))))))))))))) -> 4(0(4(3(4(1(3(3(5(3(3(1(4(1(4(5(x1)))))))))))))))) 4(1(3(4(0(2(3(3(4(0(1(3(2(1(3(5(5(x1))))))))))))))))) -> 4(0(0(4(1(5(0(2(3(0(5(2(1(5(5(5(x1)))))))))))))))) 0(5(3(3(3(5(3(1(4(5(5(3(5(2(5(1(0(0(x1)))))))))))))))))) -> 3(5(1(0(1(5(5(0(4(2(5(2(5(5(3(5(0(x1))))))))))))))))) 5(4(2(0(5(1(3(2(0(2(1(4(2(2(1(3(1(0(x1)))))))))))))))))) -> 0(5(0(5(5(2(2(5(1(5(1(0(5(5(3(0(1(x1))))))))))))))))) 1(1(1(2(0(2(4(2(2(0(3(0(4(5(2(2(1(0(1(x1))))))))))))))))))) -> 3(5(3(0(4(5(0(3(5(3(2(4(1(1(3(1(1(5(4(x1))))))))))))))))))) 5(5(0(1(3(2(5(3(4(1(4(1(1(2(5(4(1(5(5(x1))))))))))))))))))) -> 5(3(3(3(2(0(5(4(1(2(2(4(2(0(4(3(5(x1))))))))))))))))) 0(4(3(2(2(5(1(5(0(0(0(1(1(1(2(4(2(1(0(5(x1)))))))))))))))))))) -> 0(4(0(2(2(5(0(0(1(5(3(4(5(2(5(0(5(3(3(x1))))))))))))))))))) 4(2(1(2(2(3(3(3(5(1(2(4(4(1(5(1(3(2(1(0(x1)))))))))))))))))))) -> 4(0(1(3(0(4(4(1(2(3(0(4(0(4(1(4(5(4(2(x1))))))))))))))))))) 5(4(4(1(2(1(5(1(5(2(1(2(5(5(2(1(5(1(1(5(x1)))))))))))))))))))) -> 4(2(0(3(2(5(1(1(5(5(1(2(4(4(0(1(3(4(5(x1))))))))))))))))))) 2(5(1(1(5(1(2(4(5(0(1(2(3(3(1(5(5(3(2(3(4(x1))))))))))))))))))))) -> 3(3(1(4(3(2(2(2(0(0(3(3(1(1(5(1(2(4(0(2(x1)))))))))))))))))))) 3(1(0(1(4(5(0(2(5(4(5(0(4(1(5(1(1(2(2(1(5(x1))))))))))))))))))))) -> 4(1(2(3(3(4(1(5(0(1(5(4(1(2(3(4(0(0(0(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_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)) 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(0(1(x1)))) -> 2(2(1(x1))) 0(1(1(3(x1)))) -> 4(2(3(x1))) 2(3(0(2(1(x1))))) -> 2(2(1(2(1(x1))))) 3(0(0(1(4(x1))))) -> 2(4(0(4(x1)))) 4(4(5(0(1(x1))))) -> 3(0(0(2(x1)))) 5(0(5(1(1(x1))))) -> 3(2(2(2(x1)))) 1(0(5(4(1(0(x1)))))) -> 0(5(3(0(0(x1))))) 1(1(5(2(3(2(x1)))))) -> 1(3(3(3(0(x1))))) 4(0(5(0(1(0(x1)))))) -> 4(0(0(0(3(x1))))) 2(2(5(5(1(5(2(x1))))))) -> 4(0(1(1(3(4(3(x1))))))) 4(3(3(0(0(1(5(4(x1)))))))) -> 4(3(2(1(1(5(3(4(x1)))))))) 0(1(4(3(4(1(4(0(0(1(x1)))))))))) -> 0(3(1(2(2(5(0(4(1(x1))))))))) 3(2(2(5(2(0(1(5(4(0(4(1(x1)))))))))))) -> 3(4(1(4(3(1(1(0(4(1(3(1(x1)))))))))))) 4(1(5(2(2(2(3(5(3(0(1(4(x1)))))))))))) -> 4(5(3(5(5(5(0(0(3(1(4(x1))))))))))) 0(2(1(3(3(4(0(1(5(2(2(2(3(x1))))))))))))) -> 0(3(4(2(4(2(0(5(4(2(2(3(x1)))))))))))) 2(0(5(4(3(2(2(3(3(2(5(1(2(x1))))))))))))) -> 2(5(2(3(0(4(3(3(3(5(0(0(x1)))))))))))) 1(5(3(1(1(3(1(5(1(5(4(3(1(3(4(x1))))))))))))))) -> 2(3(5(2(2(1(4(1(2(5(4(3(4(x1))))))))))))) 5(0(5(0(3(3(0(2(5(0(2(1(4(4(0(x1))))))))))))))) -> 3(5(4(0(3(1(4(2(4(3(0(2(1(4(0(x1))))))))))))))) 5(1(5(4(3(0(4(0(2(0(2(4(3(1(5(x1))))))))))))))) -> 0(1(2(0(0(1(1(0(2(0(0(5(4(3(4(3(x1)))))))))))))))) 2(0(0(1(5(4(3(5(3(5(0(1(3(5(1(4(5(x1))))))))))))))))) -> 4(0(4(3(4(1(3(3(5(3(3(1(4(1(4(5(x1)))))))))))))))) 4(1(3(4(0(2(3(3(4(0(1(3(2(1(3(5(5(x1))))))))))))))))) -> 4(0(0(4(1(5(0(2(3(0(5(2(1(5(5(5(x1)))))))))))))))) 0(5(3(3(3(5(3(1(4(5(5(3(5(2(5(1(0(0(x1)))))))))))))))))) -> 3(5(1(0(1(5(5(0(4(2(5(2(5(5(3(5(0(x1))))))))))))))))) 5(4(2(0(5(1(3(2(0(2(1(4(2(2(1(3(1(0(x1)))))))))))))))))) -> 0(5(0(5(5(2(2(5(1(5(1(0(5(5(3(0(1(x1))))))))))))))))) 1(1(1(2(0(2(4(2(2(0(3(0(4(5(2(2(1(0(1(x1))))))))))))))))))) -> 3(5(3(0(4(5(0(3(5(3(2(4(1(1(3(1(1(5(4(x1))))))))))))))))))) 5(5(0(1(3(2(5(3(4(1(4(1(1(2(5(4(1(5(5(x1))))))))))))))))))) -> 5(3(3(3(2(0(5(4(1(2(2(4(2(0(4(3(5(x1))))))))))))))))) 0(4(3(2(2(5(1(5(0(0(0(1(1(1(2(4(2(1(0(5(x1)))))))))))))))))))) -> 0(4(0(2(2(5(0(0(1(5(3(4(5(2(5(0(5(3(3(x1))))))))))))))))))) 4(2(1(2(2(3(3(3(5(1(2(4(4(1(5(1(3(2(1(0(x1)))))))))))))))))))) -> 4(0(1(3(0(4(4(1(2(3(0(4(0(4(1(4(5(4(2(x1))))))))))))))))))) 5(4(4(1(2(1(5(1(5(2(1(2(5(5(2(1(5(1(1(5(x1)))))))))))))))))))) -> 4(2(0(3(2(5(1(1(5(5(1(2(4(4(0(1(3(4(5(x1))))))))))))))))))) 2(5(1(1(5(1(2(4(5(0(1(2(3(3(1(5(5(3(2(3(4(x1))))))))))))))))))))) -> 3(3(1(4(3(2(2(2(0(0(3(3(1(1(5(1(2(4(0(2(x1)))))))))))))))))))) 3(1(0(1(4(5(0(2(5(4(5(0(4(1(5(1(1(2(2(1(5(x1))))))))))))))))))))) -> 4(1(2(3(3(4(1(5(0(1(5(4(1(2(3(4(0(0(0(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_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)) 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(0(1(x1)))) -> 2(2(1(x1))) 0(1(1(3(x1)))) -> 4(2(3(x1))) 2(3(0(2(1(x1))))) -> 2(2(1(2(1(x1))))) 3(0(0(1(4(x1))))) -> 2(4(0(4(x1)))) 4(4(5(0(1(x1))))) -> 3(0(0(2(x1)))) 5(0(5(1(1(x1))))) -> 3(2(2(2(x1)))) 1(0(5(4(1(0(x1)))))) -> 0(5(3(0(0(x1))))) 1(1(5(2(3(2(x1)))))) -> 1(3(3(3(0(x1))))) 4(0(5(0(1(0(x1)))))) -> 4(0(0(0(3(x1))))) 2(2(5(5(1(5(2(x1))))))) -> 4(0(1(1(3(4(3(x1))))))) 4(3(3(0(0(1(5(4(x1)))))))) -> 4(3(2(1(1(5(3(4(x1)))))))) 0(1(4(3(4(1(4(0(0(1(x1)))))))))) -> 0(3(1(2(2(5(0(4(1(x1))))))))) 3(2(2(5(2(0(1(5(4(0(4(1(x1)))))))))))) -> 3(4(1(4(3(1(1(0(4(1(3(1(x1)))))))))))) 4(1(5(2(2(2(3(5(3(0(1(4(x1)))))))))))) -> 4(5(3(5(5(5(0(0(3(1(4(x1))))))))))) 0(2(1(3(3(4(0(1(5(2(2(2(3(x1))))))))))))) -> 0(3(4(2(4(2(0(5(4(2(2(3(x1)))))))))))) 2(0(5(4(3(2(2(3(3(2(5(1(2(x1))))))))))))) -> 2(5(2(3(0(4(3(3(3(5(0(0(x1)))))))))))) 1(5(3(1(1(3(1(5(1(5(4(3(1(3(4(x1))))))))))))))) -> 2(3(5(2(2(1(4(1(2(5(4(3(4(x1))))))))))))) 5(0(5(0(3(3(0(2(5(0(2(1(4(4(0(x1))))))))))))))) -> 3(5(4(0(3(1(4(2(4(3(0(2(1(4(0(x1))))))))))))))) 5(1(5(4(3(0(4(0(2(0(2(4(3(1(5(x1))))))))))))))) -> 0(1(2(0(0(1(1(0(2(0(0(5(4(3(4(3(x1)))))))))))))))) 2(0(0(1(5(4(3(5(3(5(0(1(3(5(1(4(5(x1))))))))))))))))) -> 4(0(4(3(4(1(3(3(5(3(3(1(4(1(4(5(x1)))))))))))))))) 4(1(3(4(0(2(3(3(4(0(1(3(2(1(3(5(5(x1))))))))))))))))) -> 4(0(0(4(1(5(0(2(3(0(5(2(1(5(5(5(x1)))))))))))))))) 0(5(3(3(3(5(3(1(4(5(5(3(5(2(5(1(0(0(x1)))))))))))))))))) -> 3(5(1(0(1(5(5(0(4(2(5(2(5(5(3(5(0(x1))))))))))))))))) 5(4(2(0(5(1(3(2(0(2(1(4(2(2(1(3(1(0(x1)))))))))))))))))) -> 0(5(0(5(5(2(2(5(1(5(1(0(5(5(3(0(1(x1))))))))))))))))) 1(1(1(2(0(2(4(2(2(0(3(0(4(5(2(2(1(0(1(x1))))))))))))))))))) -> 3(5(3(0(4(5(0(3(5(3(2(4(1(1(3(1(1(5(4(x1))))))))))))))))))) 5(5(0(1(3(2(5(3(4(1(4(1(1(2(5(4(1(5(5(x1))))))))))))))))))) -> 5(3(3(3(2(0(5(4(1(2(2(4(2(0(4(3(5(x1))))))))))))))))) 0(4(3(2(2(5(1(5(0(0(0(1(1(1(2(4(2(1(0(5(x1)))))))))))))))))))) -> 0(4(0(2(2(5(0(0(1(5(3(4(5(2(5(0(5(3(3(x1))))))))))))))))))) 4(2(1(2(2(3(3(3(5(1(2(4(4(1(5(1(3(2(1(0(x1)))))))))))))))))))) -> 4(0(1(3(0(4(4(1(2(3(0(4(0(4(1(4(5(4(2(x1))))))))))))))))))) 5(4(4(1(2(1(5(1(5(2(1(2(5(5(2(1(5(1(1(5(x1)))))))))))))))))))) -> 4(2(0(3(2(5(1(1(5(5(1(2(4(4(0(1(3(4(5(x1))))))))))))))))))) 2(5(1(1(5(1(2(4(5(0(1(2(3(3(1(5(5(3(2(3(4(x1))))))))))))))))))))) -> 3(3(1(4(3(2(2(2(0(0(3(3(1(1(5(1(2(4(0(2(x1)))))))))))))))))))) 3(1(0(1(4(5(0(2(5(4(5(0(4(1(5(1(1(2(2(1(5(x1))))))))))))))))))))) -> 4(1(2(3(3(4(1(5(0(1(5(4(1(2(3(4(0(0(0(5(x1)))))))))))))))))))) 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)) encArg(cons_1(x_1)) -> 1(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. "[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] {(151,152,[0_1|0, 2_1|0, 3_1|0, 4_1|0, 5_1|0, 1_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, 3_1|1, 4_1|1, 5_1|1, 1_1|1]), (151,154,[2_1|2]), (151,156,[4_1|2]), (151,158,[0_1|2]), (151,166,[0_1|2]), (151,177,[3_1|2]), (151,193,[0_1|2]), (151,211,[2_1|2]), (151,215,[4_1|2]), (151,221,[2_1|2]), (151,232,[4_1|2]), (151,247,[3_1|2]), (151,266,[2_1|2]), (151,269,[3_1|2]), (151,280,[4_1|2]), (151,299,[3_1|2]), (151,302,[4_1|2]), (151,306,[4_1|2]), (151,313,[4_1|2]), (151,323,[4_1|2]), (151,338,[4_1|2]), (151,356,[3_1|2]), (151,359,[3_1|2]), (151,373,[0_1|2]), (151,388,[0_1|2]), (151,404,[4_1|2]), (151,422,[5_1|2]), (151,438,[0_1|2]), (151,442,[1_1|2]), (151,446,[3_1|2]), (151,464,[2_1|2]), (152,152,[cons_0_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0, cons_1_1|0]), (153,152,[encArg_1|1]), (153,153,[0_1|1, 2_1|1, 3_1|1, 4_1|1, 5_1|1, 1_1|1]), (153,154,[2_1|2]), (153,156,[4_1|2]), (153,158,[0_1|2]), (153,166,[0_1|2]), (153,177,[3_1|2]), (153,193,[0_1|2]), (153,211,[2_1|2]), (153,215,[4_1|2]), (153,221,[2_1|2]), (153,232,[4_1|2]), (153,247,[3_1|2]), (153,266,[2_1|2]), (153,269,[3_1|2]), (153,280,[4_1|2]), (153,299,[3_1|2]), (153,302,[4_1|2]), (153,306,[4_1|2]), (153,313,[4_1|2]), (153,323,[4_1|2]), (153,338,[4_1|2]), (153,356,[3_1|2]), (153,359,[3_1|2]), (153,373,[0_1|2]), (153,388,[0_1|2]), (153,404,[4_1|2]), (153,422,[5_1|2]), (153,438,[0_1|2]), (153,442,[1_1|2]), (153,446,[3_1|2]), (153,464,[2_1|2]), (154,155,[2_1|2]), (155,153,[1_1|2]), (155,442,[1_1|2]), (155,374,[1_1|2]), (155,438,[0_1|2]), (155,446,[3_1|2]), (155,464,[2_1|2]), (156,157,[2_1|2]), (156,211,[2_1|2]), (157,153,[3_1|2]), (157,177,[3_1|2]), (157,247,[3_1|2]), (157,269,[3_1|2]), (157,299,[3_1|2]), (157,356,[3_1|2]), (157,359,[3_1|2]), (157,446,[3_1|2]), (157,443,[3_1|2]), (157,266,[2_1|2]), (157,280,[4_1|2]), (158,159,[3_1|2]), (159,160,[1_1|2]), (160,161,[2_1|2]), (161,162,[2_1|2]), (162,163,[5_1|2]), (163,164,[0_1|2]), (164,165,[4_1|2]), (164,313,[4_1|2]), (164,323,[4_1|2]), (165,153,[1_1|2]), (165,442,[1_1|2]), (165,374,[1_1|2]), (165,438,[0_1|2]), (165,446,[3_1|2]), (165,464,[2_1|2]), (166,167,[3_1|2]), (167,168,[4_1|2]), (168,169,[2_1|2]), (169,170,[4_1|2]), (170,171,[2_1|2]), (171,172,[0_1|2]), (172,173,[5_1|2]), (173,174,[4_1|2]), (174,175,[2_1|2]), (175,176,[2_1|2]), (175,211,[2_1|2]), (176,153,[3_1|2]), (176,177,[3_1|2]), (176,247,[3_1|2]), (176,269,[3_1|2]), (176,299,[3_1|2]), (176,356,[3_1|2]), (176,359,[3_1|2]), (176,446,[3_1|2]), (176,465,[3_1|2]), (176,266,[2_1|2]), (176,280,[4_1|2]), (177,178,[5_1|2]), (178,179,[1_1|2]), (179,180,[0_1|2]), (180,181,[1_1|2]), (181,182,[5_1|2]), (182,183,[5_1|2]), (183,184,[0_1|2]), (184,185,[4_1|2]), (185,186,[2_1|2]), (186,187,[5_1|2]), (187,188,[2_1|2]), (188,189,[5_1|2]), (189,190,[5_1|2]), (190,191,[3_1|2]), (191,192,[5_1|2]), (191,356,[3_1|2]), (191,359,[3_1|2]), (192,153,[0_1|2]), (192,158,[0_1|2]), (192,166,[0_1|2]), (192,193,[0_1|2]), (192,373,[0_1|2]), (192,388,[0_1|2]), (192,438,[0_1|2]), (192,154,[2_1|2]), (192,156,[4_1|2]), (192,177,[3_1|2]), (193,194,[4_1|2]), (194,195,[0_1|2]), (195,196,[2_1|2]), (196,197,[2_1|2]), (197,198,[5_1|2]), (198,199,[0_1|2]), (199,200,[0_1|2]), (200,201,[1_1|2]), (201,202,[5_1|2]), (202,203,[3_1|2]), (203,204,[4_1|2]), (204,205,[5_1|2]), (205,206,[2_1|2]), (206,207,[5_1|2]), (207,208,[0_1|2]), (207,177,[3_1|2]), (208,209,[5_1|2]), (209,210,[3_1|2]), (210,153,[3_1|2]), (210,422,[3_1|2]), (210,389,[3_1|2]), (210,439,[3_1|2]), (210,266,[2_1|2]), (210,269,[3_1|2]), (210,280,[4_1|2]), (211,212,[2_1|2]), (212,213,[1_1|2]), (213,214,[2_1|2]), (214,153,[1_1|2]), (214,442,[1_1|2]), (214,438,[0_1|2]), (214,446,[3_1|2]), (214,464,[2_1|2]), (215,216,[0_1|2]), (215,476,[4_1|3]), (216,217,[1_1|2]), (217,218,[1_1|2]), (218,219,[3_1|2]), (219,220,[4_1|2]), (219,306,[4_1|2]), (220,153,[3_1|2]), (220,154,[3_1|2]), (220,211,[3_1|2]), (220,221,[3_1|2]), (220,266,[3_1|2, 2_1|2]), (220,464,[3_1|2]), (220,269,[3_1|2]), (220,280,[4_1|2]), (221,222,[5_1|2]), (222,223,[2_1|2]), (223,224,[3_1|2]), (224,225,[0_1|2]), (225,226,[4_1|2]), (226,227,[3_1|2]), (227,228,[3_1|2]), (228,229,[3_1|2]), (229,230,[5_1|2]), (230,231,[0_1|2]), (230,154,[2_1|2]), (230,478,[2_1|3]), (231,153,[0_1|2]), (231,154,[0_1|2, 2_1|2]), (231,211,[0_1|2]), (231,221,[0_1|2]), (231,266,[0_1|2]), (231,464,[0_1|2]), (231,156,[4_1|2]), (231,158,[0_1|2]), (231,166,[0_1|2]), (231,177,[3_1|2]), (231,193,[0_1|2]), (232,233,[0_1|2]), (233,234,[4_1|2]), (234,235,[3_1|2]), (235,236,[4_1|2]), (236,237,[1_1|2]), (237,238,[3_1|2]), (238,239,[3_1|2]), (239,240,[5_1|2]), (240,241,[3_1|2]), (241,242,[3_1|2]), (242,243,[1_1|2]), (243,244,[4_1|2]), (244,245,[1_1|2]), (245,246,[4_1|2]), (246,153,[5_1|2]), (246,422,[5_1|2]), (246,314,[5_1|2]), (246,356,[3_1|2]), (246,359,[3_1|2]), (246,373,[0_1|2]), (246,388,[0_1|2]), (246,404,[4_1|2]), (247,248,[3_1|2]), (248,249,[1_1|2]), (249,250,[4_1|2]), (250,251,[3_1|2]), (251,252,[2_1|2]), (252,253,[2_1|2]), (253,254,[2_1|2]), (254,255,[0_1|2]), (255,256,[0_1|2]), (256,257,[3_1|2]), (257,258,[3_1|2]), (258,259,[1_1|2]), (259,260,[1_1|2]), (260,261,[5_1|2]), (261,262,[1_1|2]), (262,263,[2_1|2]), (263,264,[4_1|2]), (264,265,[0_1|2]), (264,166,[0_1|2]), (265,153,[2_1|2]), (265,156,[2_1|2]), (265,215,[2_1|2, 4_1|2]), (265,232,[2_1|2, 4_1|2]), (265,280,[2_1|2]), (265,302,[2_1|2]), (265,306,[2_1|2]), (265,313,[2_1|2]), (265,323,[2_1|2]), (265,338,[2_1|2]), (265,404,[2_1|2]), (265,270,[2_1|2]), (265,211,[2_1|2]), (265,221,[2_1|2]), (265,247,[3_1|2]), (266,267,[4_1|2]), (267,268,[0_1|2]), (267,193,[0_1|2]), (268,153,[4_1|2]), (268,156,[4_1|2]), (268,215,[4_1|2]), (268,232,[4_1|2]), (268,280,[4_1|2]), (268,302,[4_1|2]), (268,306,[4_1|2]), (268,313,[4_1|2]), (268,323,[4_1|2]), (268,338,[4_1|2]), (268,404,[4_1|2]), (268,299,[3_1|2]), (269,270,[4_1|2]), (270,271,[1_1|2]), (271,272,[4_1|2]), (272,273,[3_1|2]), (273,274,[1_1|2]), (274,275,[1_1|2]), (275,276,[0_1|2]), (276,277,[4_1|2]), (277,278,[1_1|2]), (278,279,[3_1|2]), (278,280,[4_1|2]), (279,153,[1_1|2]), (279,442,[1_1|2]), (279,281,[1_1|2]), (279,438,[0_1|2]), (279,446,[3_1|2]), (279,464,[2_1|2]), (280,281,[1_1|2]), (281,282,[2_1|2]), (282,283,[3_1|2]), (283,284,[3_1|2]), (284,285,[4_1|2]), (285,286,[1_1|2]), (286,287,[5_1|2]), (287,288,[0_1|2]), (288,289,[1_1|2]), (289,290,[5_1|2]), (290,291,[4_1|2]), (291,292,[1_1|2]), (292,293,[2_1|2]), (293,294,[3_1|2]), (294,295,[4_1|2]), (295,296,[0_1|2]), (296,297,[0_1|2]), (296,478,[2_1|3]), (297,298,[0_1|2]), (297,177,[3_1|2]), (298,153,[5_1|2]), (298,422,[5_1|2]), (298,356,[3_1|2]), (298,359,[3_1|2]), (298,373,[0_1|2]), (298,388,[0_1|2]), (298,404,[4_1|2]), (299,300,[0_1|2]), (300,301,[0_1|2]), (300,166,[0_1|2]), (301,153,[2_1|2]), (301,442,[2_1|2]), (301,374,[2_1|2]), (301,211,[2_1|2]), (301,215,[4_1|2]), (301,221,[2_1|2]), (301,232,[4_1|2]), (301,247,[3_1|2]), (302,303,[0_1|2]), (303,304,[0_1|2]), (304,305,[0_1|2]), (305,153,[3_1|2]), (305,158,[3_1|2]), (305,166,[3_1|2]), (305,193,[3_1|2]), (305,373,[3_1|2]), (305,388,[3_1|2]), (305,438,[3_1|2]), (305,266,[2_1|2]), (305,269,[3_1|2]), (305,280,[4_1|2]), (306,307,[3_1|2]), (307,308,[2_1|2]), (308,309,[1_1|2]), (309,310,[1_1|2]), (310,311,[5_1|2]), (311,312,[3_1|2]), (312,153,[4_1|2]), (312,156,[4_1|2]), (312,215,[4_1|2]), (312,232,[4_1|2]), (312,280,[4_1|2]), (312,302,[4_1|2]), (312,306,[4_1|2]), (312,313,[4_1|2]), (312,323,[4_1|2]), (312,338,[4_1|2]), (312,404,[4_1|2]), (312,299,[3_1|2]), (313,314,[5_1|2]), (314,315,[3_1|2]), (315,316,[5_1|2]), (316,317,[5_1|2]), (317,318,[5_1|2]), (318,319,[0_1|2]), (319,320,[0_1|2]), (320,321,[3_1|2]), (321,322,[1_1|2]), (322,153,[4_1|2]), (322,156,[4_1|2]), (322,215,[4_1|2]), (322,232,[4_1|2]), (322,280,[4_1|2]), (322,302,[4_1|2]), (322,306,[4_1|2]), (322,313,[4_1|2]), (322,323,[4_1|2]), (322,338,[4_1|2]), (322,404,[4_1|2]), (322,299,[3_1|2]), (323,324,[0_1|2]), (324,325,[0_1|2]), (325,326,[4_1|2]), (326,327,[1_1|2]), (327,328,[5_1|2]), (328,329,[0_1|2]), (329,330,[2_1|2]), (330,331,[3_1|2]), (331,332,[0_1|2]), (332,333,[5_1|2]), (333,334,[2_1|2]), (334,335,[1_1|2]), (335,336,[5_1|2]), (336,337,[5_1|2]), (336,422,[5_1|2]), (337,153,[5_1|2]), (337,422,[5_1|2]), (337,356,[3_1|2]), (337,359,[3_1|2]), (337,373,[0_1|2]), (337,388,[0_1|2]), (337,404,[4_1|2]), (338,339,[0_1|2]), (339,340,[1_1|2]), (340,341,[3_1|2]), (341,342,[0_1|2]), (342,343,[4_1|2]), (343,344,[4_1|2]), (344,345,[1_1|2]), (345,346,[2_1|2]), (346,347,[3_1|2]), (347,348,[0_1|2]), (348,349,[4_1|2]), (349,350,[0_1|2]), (350,351,[4_1|2]), (351,352,[1_1|2]), (352,353,[4_1|2]), (353,354,[5_1|2]), (353,388,[0_1|2]), (354,355,[4_1|2]), (354,338,[4_1|2]), (355,153,[2_1|2]), (355,158,[2_1|2]), (355,166,[2_1|2]), (355,193,[2_1|2]), (355,373,[2_1|2]), (355,388,[2_1|2]), (355,438,[2_1|2]), (355,211,[2_1|2]), (355,215,[4_1|2]), (355,221,[2_1|2]), (355,232,[4_1|2]), (355,247,[3_1|2]), (356,357,[2_1|2]), (357,358,[2_1|2]), (357,215,[4_1|2]), (358,153,[2_1|2]), (358,442,[2_1|2]), (358,211,[2_1|2]), (358,215,[4_1|2]), (358,221,[2_1|2]), (358,232,[4_1|2]), (358,247,[3_1|2]), (359,360,[5_1|2]), (360,361,[4_1|2]), (361,362,[0_1|2]), (362,363,[3_1|2]), (363,364,[1_1|2]), (364,365,[4_1|2]), (365,366,[2_1|2]), (366,367,[4_1|2]), (367,368,[3_1|2]), (368,369,[0_1|2]), (369,370,[2_1|2]), (370,371,[1_1|2]), (371,372,[4_1|2]), (371,302,[4_1|2]), (372,153,[0_1|2]), (372,158,[0_1|2]), (372,166,[0_1|2]), (372,193,[0_1|2]), (372,373,[0_1|2]), (372,388,[0_1|2]), (372,438,[0_1|2]), (372,216,[0_1|2]), (372,233,[0_1|2]), (372,303,[0_1|2]), (372,324,[0_1|2]), (372,339,[0_1|2]), (372,154,[2_1|2]), (372,156,[4_1|2]), (372,177,[3_1|2]), (372,476,[4_1|3]), (373,374,[1_1|2]), (374,375,[2_1|2]), (375,376,[0_1|2]), (376,377,[0_1|2]), (377,378,[1_1|2]), (378,379,[1_1|2]), (379,380,[0_1|2]), (380,381,[2_1|2]), (381,382,[0_1|2]), (382,383,[0_1|2]), (383,384,[5_1|2]), (384,385,[4_1|2]), (385,386,[3_1|2]), (386,387,[4_1|2]), (386,306,[4_1|2]), (387,153,[3_1|2]), (387,422,[3_1|2]), (387,266,[2_1|2]), (387,269,[3_1|2]), (387,280,[4_1|2]), (388,389,[5_1|2]), (389,390,[0_1|2]), (390,391,[5_1|2]), (391,392,[5_1|2]), (392,393,[2_1|2]), (393,394,[2_1|2]), (394,395,[5_1|2]), (395,396,[1_1|2]), (396,397,[5_1|2]), (397,398,[1_1|2]), (398,399,[0_1|2]), (399,400,[5_1|2]), (400,401,[5_1|2]), (401,402,[3_1|2]), (402,403,[0_1|2]), (402,156,[4_1|2]), (402,158,[0_1|2]), (402,480,[4_1|3]), (403,153,[1_1|2]), (403,158,[1_1|2]), (403,166,[1_1|2]), (403,193,[1_1|2]), (403,373,[1_1|2]), (403,388,[1_1|2]), (403,438,[1_1|2, 0_1|2]), (403,442,[1_1|2]), (403,446,[3_1|2]), (403,464,[2_1|2]), (404,405,[2_1|2]), (405,406,[0_1|2]), (406,407,[3_1|2]), (407,408,[2_1|2]), (408,409,[5_1|2]), (409,410,[1_1|2]), (410,411,[1_1|2]), (411,412,[5_1|2]), (412,413,[5_1|2]), (413,414,[1_1|2]), (414,415,[2_1|2]), (415,416,[4_1|2]), (416,417,[4_1|2]), (417,418,[0_1|2]), (418,419,[1_1|2]), (419,420,[3_1|2]), (420,421,[4_1|2]), (421,153,[5_1|2]), (421,422,[5_1|2]), (421,356,[3_1|2]), (421,359,[3_1|2]), (421,373,[0_1|2]), (421,388,[0_1|2]), (421,404,[4_1|2]), (422,423,[3_1|2]), (423,424,[3_1|2]), (424,425,[3_1|2]), (425,426,[2_1|2]), (426,427,[0_1|2]), (427,428,[5_1|2]), (428,429,[4_1|2]), (429,430,[1_1|2]), (430,431,[2_1|2]), (431,432,[2_1|2]), (432,433,[4_1|2]), (433,434,[2_1|2]), (434,435,[0_1|2]), (435,436,[4_1|2]), (436,437,[3_1|2]), (437,153,[5_1|2]), (437,422,[5_1|2]), (437,356,[3_1|2]), (437,359,[3_1|2]), (437,373,[0_1|2]), (437,388,[0_1|2]), (437,404,[4_1|2]), (438,439,[5_1|2]), (439,440,[3_1|2]), (439,266,[2_1|2]), (440,441,[0_1|2]), (440,154,[2_1|2]), (440,478,[2_1|3]), (441,153,[0_1|2]), (441,158,[0_1|2]), (441,166,[0_1|2]), (441,193,[0_1|2]), (441,373,[0_1|2]), (441,388,[0_1|2]), (441,438,[0_1|2]), (441,154,[2_1|2]), (441,156,[4_1|2]), (441,177,[3_1|2]), (442,443,[3_1|2]), (443,444,[3_1|2]), (444,445,[3_1|2]), (444,266,[2_1|2]), (445,153,[0_1|2]), (445,154,[0_1|2, 2_1|2]), (445,211,[0_1|2]), (445,221,[0_1|2]), (445,266,[0_1|2]), (445,464,[0_1|2]), (445,357,[0_1|2]), (445,156,[4_1|2]), (445,158,[0_1|2]), (445,166,[0_1|2]), (445,177,[3_1|2]), (445,193,[0_1|2]), (446,447,[5_1|2]), (447,448,[3_1|2]), (448,449,[0_1|2]), (449,450,[4_1|2]), (450,451,[5_1|2]), (451,452,[0_1|2]), (452,453,[3_1|2]), (453,454,[5_1|2]), (454,455,[3_1|2]), (455,456,[2_1|2]), (456,457,[4_1|2]), (457,458,[1_1|2]), (458,459,[1_1|2]), (459,460,[3_1|2]), (460,461,[1_1|2]), (461,462,[1_1|2]), (462,463,[5_1|2]), (462,388,[0_1|2]), (462,404,[4_1|2]), (463,153,[4_1|2]), (463,442,[4_1|2]), (463,374,[4_1|2]), (463,299,[3_1|2]), (463,302,[4_1|2]), (463,306,[4_1|2]), (463,313,[4_1|2]), (463,323,[4_1|2]), (463,338,[4_1|2]), (464,465,[3_1|2]), (465,466,[5_1|2]), (466,467,[2_1|2]), (467,468,[2_1|2]), (468,469,[1_1|2]), (469,470,[4_1|2]), (470,471,[1_1|2]), (471,472,[2_1|2]), (472,473,[5_1|2]), (473,474,[4_1|2]), (474,475,[3_1|2]), (475,153,[4_1|2]), (475,156,[4_1|2]), (475,215,[4_1|2]), (475,232,[4_1|2]), (475,280,[4_1|2]), (475,302,[4_1|2]), (475,306,[4_1|2]), (475,313,[4_1|2]), (475,323,[4_1|2]), (475,338,[4_1|2]), (475,404,[4_1|2]), (475,270,[4_1|2]), (475,299,[3_1|2]), (476,477,[2_1|3]), (477,219,[3_1|3]), (478,479,[2_1|3]), (479,374,[1_1|3]), (480,481,[2_1|3]), (481,443,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)