/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 52 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 350 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(2(x1)))) -> 3(3(0(x1))) 0(3(1(3(x1)))) -> 2(4(3(x1))) 5(1(0(0(x1)))) -> 5(3(3(x1))) 0(3(2(4(5(x1))))) -> 2(5(1(5(x1)))) 3(0(0(0(4(x1))))) -> 5(5(1(4(x1)))) 5(4(2(4(3(x1))))) -> 0(5(3(1(3(x1))))) 5(3(0(0(2(0(x1)))))) -> 5(3(2(4(3(x1))))) 4(3(5(0(3(0(5(3(x1)))))))) -> 4(1(0(3(3(0(5(0(x1)))))))) 0(0(3(3(3(4(3(3(1(x1))))))))) -> 5(5(2(4(0(0(1(0(3(x1))))))))) 1(0(2(1(5(1(1(5(4(x1))))))))) -> 1(0(0(0(1(4(3(5(4(x1))))))))) 3(3(1(5(4(0(4(0(4(x1))))))))) -> 4(0(1(3(4(3(4(4(x1)))))))) 1(3(3(2(4(1(2(2(2(1(x1)))))))))) -> 1(4(3(5(3(3(1(2(1(1(x1)))))))))) 4(1(4(5(2(4(0(1(5(4(x1)))))))))) -> 4(0(3(4(3(5(2(2(4(x1))))))))) 5(4(1(4(3(2(2(2(1(2(x1)))))))))) -> 0(5(2(0(1(5(3(2(0(2(x1)))))))))) 1(2(1(2(5(2(4(3(3(4(5(x1))))))))))) -> 1(4(3(4(0(4(2(5(5(5(x1)))))))))) 3(2(0(2(2(3(3(5(4(1(5(x1))))))))))) -> 2(1(2(0(2(3(4(4(5(4(0(x1))))))))))) 4(5(4(0(1(5(5(4(5(2(4(x1))))))))))) -> 3(1(2(1(0(4(5(2(0(2(4(x1))))))))))) 0(1(4(1(0(0(3(4(1(5(3(1(x1)))))))))))) -> 0(4(4(1(2(3(0(0(0(1(3(1(x1)))))))))))) 1(3(4(5(1(0(0(4(5(5(3(1(x1)))))))))))) -> 1(1(2(0(2(1(2(3(0(4(3(1(x1)))))))))))) 5(1(2(3(2(2(4(2(1(5(4(0(x1)))))))))))) -> 5(5(4(0(5(2(2(5(5(2(5(x1))))))))))) 0(3(0(4(4(4(1(1(4(5(4(3(3(x1))))))))))))) -> 0(2(3(2(3(3(4(1(1(4(2(3(x1)))))))))))) 4(1(1(0(1(3(4(5(2(3(5(5(1(x1))))))))))))) -> 4(1(1(0(3(4(5(2(4(3(3(0(1(x1))))))))))))) 5(2(5(4(4(3(4(1(0(1(0(1(2(x1))))))))))))) -> 5(4(2(0(1(3(2(4(5(4(3(4(x1)))))))))))) 3(3(3(1(3(0(5(2(5(4(4(3(2(1(1(x1))))))))))))))) -> 3(4(5(5(1(2(5(2(2(1(4(1(0(1(1(x1))))))))))))))) 3(5(0(2(1(2(2(3(5(3(1(3(1(1(4(x1))))))))))))))) -> 4(3(1(0(2(5(3(3(2(4(1(5(5(4(x1)))))))))))))) 5(3(4(5(1(2(5(0(0(0(5(4(1(4(4(x1))))))))))))))) -> 5(4(5(5(5(1(3(3(4(1(5(5(1(4(x1)))))))))))))) 1(5(2(4(4(3(4(2(3(3(1(1(4(2(5(2(x1)))))))))))))))) -> 1(5(1(3(0(0(0(2(4(4(5(0(4(0(5(2(5(x1))))))))))))))))) 3(1(2(3(5(2(0(0(4(4(3(3(3(1(4(0(4(x1))))))))))))))))) -> 1(2(3(0(1(0(2(1(0(2(3(5(3(4(1(0(4(x1))))))))))))))))) 2(2(0(3(4(0(1(4(2(0(3(0(2(2(4(2(4(4(x1)))))))))))))))))) -> 5(5(3(0(2(1(2(1(4(4(5(5(1(1(0(3(1(4(x1)))))))))))))))))) 0(2(3(0(4(0(1(0(1(4(5(3(5(2(4(1(0(3(3(x1))))))))))))))))))) -> 0(3(0(5(3(5(4(3(1(4(0(3(4(5(3(1(1(1(x1)))))))))))))))))) 0(4(1(2(3(5(3(1(4(0(1(0(5(5(4(0(3(3(0(x1))))))))))))))))))) -> 1(5(5(2(5(0(4(4(4(4(5(3(3(4(2(3(4(x1))))))))))))))))) 3(0(4(3(0(2(3(4(4(1(2(3(0(0(2(0(4(1(1(x1))))))))))))))))))) -> 3(0(3(0(5(0(0(0(3(3(2(1(1(2(3(0(1(1(1(0(x1)))))))))))))))))))) 3(2(3(1(4(4(1(2(5(1(5(0(4(5(1(0(1(0(2(x1))))))))))))))))))) -> 0(5(5(4(5(0(1(1(3(5(1(5(2(0(4(0(2(0(2(x1))))))))))))))))))) 5(0(0(3(0(4(0(3(5(3(1(3(1(4(1(2(0(1(3(x1))))))))))))))))))) -> 2(2(0(3(4(5(1(3(2(0(4(4(0(5(4(0(2(3(x1)))))))))))))))))) 1(0(4(1(0(4(0(1(3(1(1(0(2(5(4(1(0(3(3(2(x1)))))))))))))))))))) -> 1(5(5(0(3(5(0(5(4(3(4(3(5(1(3(5(4(1(x1)))))))))))))))))) 2(0(5(5(5(0(3(5(0(0(4(2(1(5(5(0(2(4(1(1(x1)))))))))))))))))))) -> 2(0(0(5(1(1(4(2(5(5(3(2(5(1(4(3(4(5(2(x1))))))))))))))))))) 3(1(1(3(4(3(1(5(5(4(1(1(3(5(0(1(2(3(0(0(x1)))))))))))))))))))) -> 1(1(1(3(3(4(1(4(5(1(4(0(5(1(2(2(1(4(3(2(x1)))))))))))))))))))) 0(0(1(3(4(3(1(1(3(3(2(0(4(4(3(0(0(5(5(2(0(x1))))))))))))))))))))) -> 2(4(5(5(2(1(5(2(4(2(1(0(2(4(4(3(5(2(4(3(x1)))))))))))))))))))) 0(5(1(4(0(5(1(3(4(3(3(1(1(4(5(1(4(1(4(0(0(x1))))))))))))))))))))) -> 5(4(1(2(5(2(0(0(2(2(2(0(3(0(4(4(0(0(5(3(x1)))))))))))))))))))) 4(2(3(1(3(1(1(5(3(4(2(0(5(5(3(3(2(0(5(4(1(x1))))))))))))))))))))) -> 4(3(0(4(5(3(2(4(3(0(0(5(1(5(5(4(5(3(0(0(4(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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(0(1(2(x1)))) -> 3(3(0(x1))) 0(3(1(3(x1)))) -> 2(4(3(x1))) 5(1(0(0(x1)))) -> 5(3(3(x1))) 0(3(2(4(5(x1))))) -> 2(5(1(5(x1)))) 3(0(0(0(4(x1))))) -> 5(5(1(4(x1)))) 5(4(2(4(3(x1))))) -> 0(5(3(1(3(x1))))) 5(3(0(0(2(0(x1)))))) -> 5(3(2(4(3(x1))))) 4(3(5(0(3(0(5(3(x1)))))))) -> 4(1(0(3(3(0(5(0(x1)))))))) 0(0(3(3(3(4(3(3(1(x1))))))))) -> 5(5(2(4(0(0(1(0(3(x1))))))))) 1(0(2(1(5(1(1(5(4(x1))))))))) -> 1(0(0(0(1(4(3(5(4(x1))))))))) 3(3(1(5(4(0(4(0(4(x1))))))))) -> 4(0(1(3(4(3(4(4(x1)))))))) 1(3(3(2(4(1(2(2(2(1(x1)))))))))) -> 1(4(3(5(3(3(1(2(1(1(x1)))))))))) 4(1(4(5(2(4(0(1(5(4(x1)))))))))) -> 4(0(3(4(3(5(2(2(4(x1))))))))) 5(4(1(4(3(2(2(2(1(2(x1)))))))))) -> 0(5(2(0(1(5(3(2(0(2(x1)))))))))) 1(2(1(2(5(2(4(3(3(4(5(x1))))))))))) -> 1(4(3(4(0(4(2(5(5(5(x1)))))))))) 3(2(0(2(2(3(3(5(4(1(5(x1))))))))))) -> 2(1(2(0(2(3(4(4(5(4(0(x1))))))))))) 4(5(4(0(1(5(5(4(5(2(4(x1))))))))))) -> 3(1(2(1(0(4(5(2(0(2(4(x1))))))))))) 0(1(4(1(0(0(3(4(1(5(3(1(x1)))))))))))) -> 0(4(4(1(2(3(0(0(0(1(3(1(x1)))))))))))) 1(3(4(5(1(0(0(4(5(5(3(1(x1)))))))))))) -> 1(1(2(0(2(1(2(3(0(4(3(1(x1)))))))))))) 5(1(2(3(2(2(4(2(1(5(4(0(x1)))))))))))) -> 5(5(4(0(5(2(2(5(5(2(5(x1))))))))))) 0(3(0(4(4(4(1(1(4(5(4(3(3(x1))))))))))))) -> 0(2(3(2(3(3(4(1(1(4(2(3(x1)))))))))))) 4(1(1(0(1(3(4(5(2(3(5(5(1(x1))))))))))))) -> 4(1(1(0(3(4(5(2(4(3(3(0(1(x1))))))))))))) 5(2(5(4(4(3(4(1(0(1(0(1(2(x1))))))))))))) -> 5(4(2(0(1(3(2(4(5(4(3(4(x1)))))))))))) 3(3(3(1(3(0(5(2(5(4(4(3(2(1(1(x1))))))))))))))) -> 3(4(5(5(1(2(5(2(2(1(4(1(0(1(1(x1))))))))))))))) 3(5(0(2(1(2(2(3(5(3(1(3(1(1(4(x1))))))))))))))) -> 4(3(1(0(2(5(3(3(2(4(1(5(5(4(x1)))))))))))))) 5(3(4(5(1(2(5(0(0(0(5(4(1(4(4(x1))))))))))))))) -> 5(4(5(5(5(1(3(3(4(1(5(5(1(4(x1)))))))))))))) 1(5(2(4(4(3(4(2(3(3(1(1(4(2(5(2(x1)))))))))))))))) -> 1(5(1(3(0(0(0(2(4(4(5(0(4(0(5(2(5(x1))))))))))))))))) 3(1(2(3(5(2(0(0(4(4(3(3(3(1(4(0(4(x1))))))))))))))))) -> 1(2(3(0(1(0(2(1(0(2(3(5(3(4(1(0(4(x1))))))))))))))))) 2(2(0(3(4(0(1(4(2(0(3(0(2(2(4(2(4(4(x1)))))))))))))))))) -> 5(5(3(0(2(1(2(1(4(4(5(5(1(1(0(3(1(4(x1)))))))))))))))))) 0(2(3(0(4(0(1(0(1(4(5(3(5(2(4(1(0(3(3(x1))))))))))))))))))) -> 0(3(0(5(3(5(4(3(1(4(0(3(4(5(3(1(1(1(x1)))))))))))))))))) 0(4(1(2(3(5(3(1(4(0(1(0(5(5(4(0(3(3(0(x1))))))))))))))))))) -> 1(5(5(2(5(0(4(4(4(4(5(3(3(4(2(3(4(x1))))))))))))))))) 3(0(4(3(0(2(3(4(4(1(2(3(0(0(2(0(4(1(1(x1))))))))))))))))))) -> 3(0(3(0(5(0(0(0(3(3(2(1(1(2(3(0(1(1(1(0(x1)))))))))))))))))))) 3(2(3(1(4(4(1(2(5(1(5(0(4(5(1(0(1(0(2(x1))))))))))))))))))) -> 0(5(5(4(5(0(1(1(3(5(1(5(2(0(4(0(2(0(2(x1))))))))))))))))))) 5(0(0(3(0(4(0(3(5(3(1(3(1(4(1(2(0(1(3(x1))))))))))))))))))) -> 2(2(0(3(4(5(1(3(2(0(4(4(0(5(4(0(2(3(x1)))))))))))))))))) 1(0(4(1(0(4(0(1(3(1(1(0(2(5(4(1(0(3(3(2(x1)))))))))))))))))))) -> 1(5(5(0(3(5(0(5(4(3(4(3(5(1(3(5(4(1(x1)))))))))))))))))) 2(0(5(5(5(0(3(5(0(0(4(2(1(5(5(0(2(4(1(1(x1)))))))))))))))))))) -> 2(0(0(5(1(1(4(2(5(5(3(2(5(1(4(3(4(5(2(x1))))))))))))))))))) 3(1(1(3(4(3(1(5(5(4(1(1(3(5(0(1(2(3(0(0(x1)))))))))))))))))))) -> 1(1(1(3(3(4(1(4(5(1(4(0(5(1(2(2(1(4(3(2(x1)))))))))))))))))))) 0(0(1(3(4(3(1(1(3(3(2(0(4(4(3(0(0(5(5(2(0(x1))))))))))))))))))))) -> 2(4(5(5(2(1(5(2(4(2(1(0(2(4(4(3(5(2(4(3(x1)))))))))))))))))))) 0(5(1(4(0(5(1(3(4(3(3(1(1(4(5(1(4(1(4(0(0(x1))))))))))))))))))))) -> 5(4(1(2(5(2(0(0(2(2(2(0(3(0(4(4(0(0(5(3(x1)))))))))))))))))))) 4(2(3(1(3(1(1(5(3(4(2(0(5(5(3(3(2(0(5(4(1(x1))))))))))))))))))))) -> 4(3(0(4(5(3(2(4(3(0(0(5(1(5(5(4(5(3(0(0(4(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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(0(1(2(x1)))) -> 3(3(0(x1))) 0(3(1(3(x1)))) -> 2(4(3(x1))) 5(1(0(0(x1)))) -> 5(3(3(x1))) 0(3(2(4(5(x1))))) -> 2(5(1(5(x1)))) 3(0(0(0(4(x1))))) -> 5(5(1(4(x1)))) 5(4(2(4(3(x1))))) -> 0(5(3(1(3(x1))))) 5(3(0(0(2(0(x1)))))) -> 5(3(2(4(3(x1))))) 4(3(5(0(3(0(5(3(x1)))))))) -> 4(1(0(3(3(0(5(0(x1)))))))) 0(0(3(3(3(4(3(3(1(x1))))))))) -> 5(5(2(4(0(0(1(0(3(x1))))))))) 1(0(2(1(5(1(1(5(4(x1))))))))) -> 1(0(0(0(1(4(3(5(4(x1))))))))) 3(3(1(5(4(0(4(0(4(x1))))))))) -> 4(0(1(3(4(3(4(4(x1)))))))) 1(3(3(2(4(1(2(2(2(1(x1)))))))))) -> 1(4(3(5(3(3(1(2(1(1(x1)))))))))) 4(1(4(5(2(4(0(1(5(4(x1)))))))))) -> 4(0(3(4(3(5(2(2(4(x1))))))))) 5(4(1(4(3(2(2(2(1(2(x1)))))))))) -> 0(5(2(0(1(5(3(2(0(2(x1)))))))))) 1(2(1(2(5(2(4(3(3(4(5(x1))))))))))) -> 1(4(3(4(0(4(2(5(5(5(x1)))))))))) 3(2(0(2(2(3(3(5(4(1(5(x1))))))))))) -> 2(1(2(0(2(3(4(4(5(4(0(x1))))))))))) 4(5(4(0(1(5(5(4(5(2(4(x1))))))))))) -> 3(1(2(1(0(4(5(2(0(2(4(x1))))))))))) 0(1(4(1(0(0(3(4(1(5(3(1(x1)))))))))))) -> 0(4(4(1(2(3(0(0(0(1(3(1(x1)))))))))))) 1(3(4(5(1(0(0(4(5(5(3(1(x1)))))))))))) -> 1(1(2(0(2(1(2(3(0(4(3(1(x1)))))))))))) 5(1(2(3(2(2(4(2(1(5(4(0(x1)))))))))))) -> 5(5(4(0(5(2(2(5(5(2(5(x1))))))))))) 0(3(0(4(4(4(1(1(4(5(4(3(3(x1))))))))))))) -> 0(2(3(2(3(3(4(1(1(4(2(3(x1)))))))))))) 4(1(1(0(1(3(4(5(2(3(5(5(1(x1))))))))))))) -> 4(1(1(0(3(4(5(2(4(3(3(0(1(x1))))))))))))) 5(2(5(4(4(3(4(1(0(1(0(1(2(x1))))))))))))) -> 5(4(2(0(1(3(2(4(5(4(3(4(x1)))))))))))) 3(3(3(1(3(0(5(2(5(4(4(3(2(1(1(x1))))))))))))))) -> 3(4(5(5(1(2(5(2(2(1(4(1(0(1(1(x1))))))))))))))) 3(5(0(2(1(2(2(3(5(3(1(3(1(1(4(x1))))))))))))))) -> 4(3(1(0(2(5(3(3(2(4(1(5(5(4(x1)))))))))))))) 5(3(4(5(1(2(5(0(0(0(5(4(1(4(4(x1))))))))))))))) -> 5(4(5(5(5(1(3(3(4(1(5(5(1(4(x1)))))))))))))) 1(5(2(4(4(3(4(2(3(3(1(1(4(2(5(2(x1)))))))))))))))) -> 1(5(1(3(0(0(0(2(4(4(5(0(4(0(5(2(5(x1))))))))))))))))) 3(1(2(3(5(2(0(0(4(4(3(3(3(1(4(0(4(x1))))))))))))))))) -> 1(2(3(0(1(0(2(1(0(2(3(5(3(4(1(0(4(x1))))))))))))))))) 2(2(0(3(4(0(1(4(2(0(3(0(2(2(4(2(4(4(x1)))))))))))))))))) -> 5(5(3(0(2(1(2(1(4(4(5(5(1(1(0(3(1(4(x1)))))))))))))))))) 0(2(3(0(4(0(1(0(1(4(5(3(5(2(4(1(0(3(3(x1))))))))))))))))))) -> 0(3(0(5(3(5(4(3(1(4(0(3(4(5(3(1(1(1(x1)))))))))))))))))) 0(4(1(2(3(5(3(1(4(0(1(0(5(5(4(0(3(3(0(x1))))))))))))))))))) -> 1(5(5(2(5(0(4(4(4(4(5(3(3(4(2(3(4(x1))))))))))))))))) 3(0(4(3(0(2(3(4(4(1(2(3(0(0(2(0(4(1(1(x1))))))))))))))))))) -> 3(0(3(0(5(0(0(0(3(3(2(1(1(2(3(0(1(1(1(0(x1)))))))))))))))))))) 3(2(3(1(4(4(1(2(5(1(5(0(4(5(1(0(1(0(2(x1))))))))))))))))))) -> 0(5(5(4(5(0(1(1(3(5(1(5(2(0(4(0(2(0(2(x1))))))))))))))))))) 5(0(0(3(0(4(0(3(5(3(1(3(1(4(1(2(0(1(3(x1))))))))))))))))))) -> 2(2(0(3(4(5(1(3(2(0(4(4(0(5(4(0(2(3(x1)))))))))))))))))) 1(0(4(1(0(4(0(1(3(1(1(0(2(5(4(1(0(3(3(2(x1)))))))))))))))))))) -> 1(5(5(0(3(5(0(5(4(3(4(3(5(1(3(5(4(1(x1)))))))))))))))))) 2(0(5(5(5(0(3(5(0(0(4(2(1(5(5(0(2(4(1(1(x1)))))))))))))))))))) -> 2(0(0(5(1(1(4(2(5(5(3(2(5(1(4(3(4(5(2(x1))))))))))))))))))) 3(1(1(3(4(3(1(5(5(4(1(1(3(5(0(1(2(3(0(0(x1)))))))))))))))))))) -> 1(1(1(3(3(4(1(4(5(1(4(0(5(1(2(2(1(4(3(2(x1)))))))))))))))))))) 0(0(1(3(4(3(1(1(3(3(2(0(4(4(3(0(0(5(5(2(0(x1))))))))))))))))))))) -> 2(4(5(5(2(1(5(2(4(2(1(0(2(4(4(3(5(2(4(3(x1)))))))))))))))))))) 0(5(1(4(0(5(1(3(4(3(3(1(1(4(5(1(4(1(4(0(0(x1))))))))))))))))))))) -> 5(4(1(2(5(2(0(0(2(2(2(0(3(0(4(4(0(0(5(3(x1)))))))))))))))))))) 4(2(3(1(3(1(1(5(3(4(2(0(5(5(3(3(2(0(5(4(1(x1))))))))))))))))))))) -> 4(3(0(4(5(3(2(4(3(0(0(5(1(5(5(4(5(3(0(0(4(x1))))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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(0(1(2(x1)))) -> 3(3(0(x1))) 0(3(1(3(x1)))) -> 2(4(3(x1))) 5(1(0(0(x1)))) -> 5(3(3(x1))) 0(3(2(4(5(x1))))) -> 2(5(1(5(x1)))) 3(0(0(0(4(x1))))) -> 5(5(1(4(x1)))) 5(4(2(4(3(x1))))) -> 0(5(3(1(3(x1))))) 5(3(0(0(2(0(x1)))))) -> 5(3(2(4(3(x1))))) 4(3(5(0(3(0(5(3(x1)))))))) -> 4(1(0(3(3(0(5(0(x1)))))))) 0(0(3(3(3(4(3(3(1(x1))))))))) -> 5(5(2(4(0(0(1(0(3(x1))))))))) 1(0(2(1(5(1(1(5(4(x1))))))))) -> 1(0(0(0(1(4(3(5(4(x1))))))))) 3(3(1(5(4(0(4(0(4(x1))))))))) -> 4(0(1(3(4(3(4(4(x1)))))))) 1(3(3(2(4(1(2(2(2(1(x1)))))))))) -> 1(4(3(5(3(3(1(2(1(1(x1)))))))))) 4(1(4(5(2(4(0(1(5(4(x1)))))))))) -> 4(0(3(4(3(5(2(2(4(x1))))))))) 5(4(1(4(3(2(2(2(1(2(x1)))))))))) -> 0(5(2(0(1(5(3(2(0(2(x1)))))))))) 1(2(1(2(5(2(4(3(3(4(5(x1))))))))))) -> 1(4(3(4(0(4(2(5(5(5(x1)))))))))) 3(2(0(2(2(3(3(5(4(1(5(x1))))))))))) -> 2(1(2(0(2(3(4(4(5(4(0(x1))))))))))) 4(5(4(0(1(5(5(4(5(2(4(x1))))))))))) -> 3(1(2(1(0(4(5(2(0(2(4(x1))))))))))) 0(1(4(1(0(0(3(4(1(5(3(1(x1)))))))))))) -> 0(4(4(1(2(3(0(0(0(1(3(1(x1)))))))))))) 1(3(4(5(1(0(0(4(5(5(3(1(x1)))))))))))) -> 1(1(2(0(2(1(2(3(0(4(3(1(x1)))))))))))) 5(1(2(3(2(2(4(2(1(5(4(0(x1)))))))))))) -> 5(5(4(0(5(2(2(5(5(2(5(x1))))))))))) 0(3(0(4(4(4(1(1(4(5(4(3(3(x1))))))))))))) -> 0(2(3(2(3(3(4(1(1(4(2(3(x1)))))))))))) 4(1(1(0(1(3(4(5(2(3(5(5(1(x1))))))))))))) -> 4(1(1(0(3(4(5(2(4(3(3(0(1(x1))))))))))))) 5(2(5(4(4(3(4(1(0(1(0(1(2(x1))))))))))))) -> 5(4(2(0(1(3(2(4(5(4(3(4(x1)))))))))))) 3(3(3(1(3(0(5(2(5(4(4(3(2(1(1(x1))))))))))))))) -> 3(4(5(5(1(2(5(2(2(1(4(1(0(1(1(x1))))))))))))))) 3(5(0(2(1(2(2(3(5(3(1(3(1(1(4(x1))))))))))))))) -> 4(3(1(0(2(5(3(3(2(4(1(5(5(4(x1)))))))))))))) 5(3(4(5(1(2(5(0(0(0(5(4(1(4(4(x1))))))))))))))) -> 5(4(5(5(5(1(3(3(4(1(5(5(1(4(x1)))))))))))))) 1(5(2(4(4(3(4(2(3(3(1(1(4(2(5(2(x1)))))))))))))))) -> 1(5(1(3(0(0(0(2(4(4(5(0(4(0(5(2(5(x1))))))))))))))))) 3(1(2(3(5(2(0(0(4(4(3(3(3(1(4(0(4(x1))))))))))))))))) -> 1(2(3(0(1(0(2(1(0(2(3(5(3(4(1(0(4(x1))))))))))))))))) 2(2(0(3(4(0(1(4(2(0(3(0(2(2(4(2(4(4(x1)))))))))))))))))) -> 5(5(3(0(2(1(2(1(4(4(5(5(1(1(0(3(1(4(x1)))))))))))))))))) 0(2(3(0(4(0(1(0(1(4(5(3(5(2(4(1(0(3(3(x1))))))))))))))))))) -> 0(3(0(5(3(5(4(3(1(4(0(3(4(5(3(1(1(1(x1)))))))))))))))))) 0(4(1(2(3(5(3(1(4(0(1(0(5(5(4(0(3(3(0(x1))))))))))))))))))) -> 1(5(5(2(5(0(4(4(4(4(5(3(3(4(2(3(4(x1))))))))))))))))) 3(0(4(3(0(2(3(4(4(1(2(3(0(0(2(0(4(1(1(x1))))))))))))))))))) -> 3(0(3(0(5(0(0(0(3(3(2(1(1(2(3(0(1(1(1(0(x1)))))))))))))))))))) 3(2(3(1(4(4(1(2(5(1(5(0(4(5(1(0(1(0(2(x1))))))))))))))))))) -> 0(5(5(4(5(0(1(1(3(5(1(5(2(0(4(0(2(0(2(x1))))))))))))))))))) 5(0(0(3(0(4(0(3(5(3(1(3(1(4(1(2(0(1(3(x1))))))))))))))))))) -> 2(2(0(3(4(5(1(3(2(0(4(4(0(5(4(0(2(3(x1)))))))))))))))))) 1(0(4(1(0(4(0(1(3(1(1(0(2(5(4(1(0(3(3(2(x1)))))))))))))))))))) -> 1(5(5(0(3(5(0(5(4(3(4(3(5(1(3(5(4(1(x1)))))))))))))))))) 2(0(5(5(5(0(3(5(0(0(4(2(1(5(5(0(2(4(1(1(x1)))))))))))))))))))) -> 2(0(0(5(1(1(4(2(5(5(3(2(5(1(4(3(4(5(2(x1))))))))))))))))))) 3(1(1(3(4(3(1(5(5(4(1(1(3(5(0(1(2(3(0(0(x1)))))))))))))))))))) -> 1(1(1(3(3(4(1(4(5(1(4(0(5(1(2(2(1(4(3(2(x1)))))))))))))))))))) 0(0(1(3(4(3(1(1(3(3(2(0(4(4(3(0(0(5(5(2(0(x1))))))))))))))))))))) -> 2(4(5(5(2(1(5(2(4(2(1(0(2(4(4(3(5(2(4(3(x1)))))))))))))))))))) 0(5(1(4(0(5(1(3(4(3(3(1(1(4(5(1(4(1(4(0(0(x1))))))))))))))))))))) -> 5(4(1(2(5(2(0(0(2(2(2(0(3(0(4(4(0(0(5(3(x1)))))))))))))))))))) 4(2(3(1(3(1(1(5(3(4(2(0(5(5(3(3(2(0(5(4(1(x1))))))))))))))))))))) -> 4(3(0(4(5(3(2(4(3(0(0(5(1(5(5(4(5(3(0(0(4(x1))))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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 3. 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, 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547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622] {(148,149,[0_1|0, 5_1|0, 3_1|0, 4_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, 5_1|1, 3_1|1, 4_1|1, 1_1|1, 2_1|1]), (148,151,[3_1|2]), (148,153,[2_1|2]), (148,172,[5_1|2]), (148,180,[2_1|2]), (148,182,[2_1|2]), (148,185,[0_1|2]), (148,196,[0_1|2]), (148,207,[0_1|2]), (148,224,[1_1|2]), (148,240,[5_1|2]), (148,259,[5_1|2]), (148,261,[5_1|2]), (148,271,[0_1|2]), (148,275,[0_1|2]), (148,284,[5_1|2]), (148,288,[5_1|2]), (148,301,[5_1|2]), (148,312,[2_1|2]), (148,329,[5_1|2]), (148,332,[3_1|2]), (148,351,[4_1|2]), (148,358,[3_1|2]), (148,372,[2_1|2]), (148,382,[0_1|2]), (148,400,[4_1|2]), (148,413,[1_1|2]), (148,429,[1_1|2]), (148,448,[4_1|2]), (148,455,[4_1|2]), (148,463,[4_1|2]), (148,475,[3_1|2]), (148,485,[4_1|2]), (148,505,[1_1|2]), (148,513,[1_1|2]), (148,530,[1_1|2]), (148,539,[1_1|2]), (148,550,[1_1|2]), (148,559,[1_1|2]), (148,575,[5_1|2]), (148,592,[2_1|2]), (149,149,[cons_0_1|0, cons_5_1|0, cons_3_1|0, cons_4_1|0, cons_1_1|0, cons_2_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 5_1|1, 3_1|1, 4_1|1, 1_1|1, 2_1|1]), (150,151,[3_1|2]), (150,153,[2_1|2]), (150,172,[5_1|2]), (150,180,[2_1|2]), (150,182,[2_1|2]), (150,185,[0_1|2]), (150,196,[0_1|2]), (150,207,[0_1|2]), (150,224,[1_1|2]), (150,240,[5_1|2]), (150,259,[5_1|2]), (150,261,[5_1|2]), (150,271,[0_1|2]), (150,275,[0_1|2]), (150,284,[5_1|2]), (150,288,[5_1|2]), (150,301,[5_1|2]), (150,312,[2_1|2]), (150,329,[5_1|2]), (150,332,[3_1|2]), (150,351,[4_1|2]), (150,358,[3_1|2]), (150,372,[2_1|2]), (150,382,[0_1|2]), (150,400,[4_1|2]), 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(412,150,[4_1|2]), (412,351,[4_1|2]), (412,400,[4_1|2]), (412,448,[4_1|2]), (412,455,[4_1|2]), (412,463,[4_1|2]), (412,485,[4_1|2]), (412,531,[4_1|2]), (412,551,[4_1|2]), (412,475,[3_1|2]), (413,414,[2_1|2]), (414,415,[3_1|2]), (415,416,[0_1|2]), (416,417,[1_1|2]), (417,418,[0_1|2]), (418,419,[2_1|2]), (419,420,[1_1|2]), (420,421,[0_1|2]), (421,422,[2_1|2]), (422,423,[3_1|2]), (423,424,[5_1|2]), (424,425,[3_1|2]), (425,426,[4_1|2]), (426,427,[1_1|2]), (426,513,[1_1|2]), (427,428,[0_1|2]), (427,224,[1_1|2]), (428,150,[4_1|2]), (428,351,[4_1|2]), (428,400,[4_1|2]), (428,448,[4_1|2]), (428,455,[4_1|2]), (428,463,[4_1|2]), (428,485,[4_1|2]), (428,197,[4_1|2]), (428,475,[3_1|2]), (429,430,[1_1|2]), (430,431,[1_1|2]), (431,432,[3_1|2]), (432,433,[3_1|2]), (433,434,[4_1|2]), (434,435,[1_1|2]), (435,436,[4_1|2]), (436,437,[5_1|2]), (437,438,[1_1|2]), (438,439,[4_1|2]), (439,440,[0_1|2]), (440,441,[5_1|2]), (441,442,[1_1|2]), (442,443,[2_1|2]), (443,444,[2_1|2]), (444,445,[1_1|2]), (445,446,[4_1|2]), (446,447,[3_1|2]), (446,372,[2_1|2]), (446,382,[0_1|2]), (447,150,[2_1|2]), (447,185,[2_1|2]), (447,196,[2_1|2]), (447,207,[2_1|2]), (447,271,[2_1|2]), (447,275,[2_1|2]), (447,382,[2_1|2]), (447,575,[5_1|2]), (447,592,[2_1|2]), (448,449,[1_1|2]), (449,450,[0_1|2]), (450,451,[3_1|2]), (451,452,[3_1|2]), (452,453,[0_1|2]), (453,454,[5_1|2]), (453,312,[2_1|2]), (454,150,[0_1|2]), (454,151,[0_1|2, 3_1|2]), (454,332,[0_1|2]), (454,358,[0_1|2]), (454,475,[0_1|2]), (454,260,[0_1|2]), (454,285,[0_1|2]), (454,273,[0_1|2]), (454,211,[0_1|2]), (454,153,[2_1|2]), (454,172,[5_1|2]), (454,180,[2_1|2]), (454,182,[2_1|2]), (454,185,[0_1|2]), (454,196,[0_1|2]), (454,207,[0_1|2]), (454,224,[1_1|2]), (454,240,[5_1|2]), (454,610,[2_1|3]), (455,456,[0_1|2]), (456,457,[3_1|2]), (457,458,[4_1|2]), (458,459,[3_1|2]), (459,460,[5_1|2]), (460,461,[2_1|2]), (461,462,[2_1|2]), (462,150,[4_1|2]), (462,351,[4_1|2]), (462,400,[4_1|2]), (462,448,[4_1|2]), (462,455,[4_1|2]), (462,463,[4_1|2]), (462,485,[4_1|2]), (462,241,[4_1|2]), (462,289,[4_1|2]), (462,302,[4_1|2]), (462,475,[3_1|2]), (463,464,[1_1|2]), (464,465,[1_1|2]), (465,466,[0_1|2]), (466,467,[3_1|2]), (467,468,[4_1|2]), (468,469,[5_1|2]), (469,470,[2_1|2]), (470,471,[4_1|2]), (471,472,[3_1|2]), (472,473,[3_1|2]), (473,474,[0_1|2]), (473,196,[0_1|2]), (474,150,[1_1|2]), (474,224,[1_1|2]), (474,413,[1_1|2]), (474,429,[1_1|2]), (474,505,[1_1|2]), (474,513,[1_1|2]), (474,530,[1_1|2]), (474,539,[1_1|2]), (474,550,[1_1|2]), (474,559,[1_1|2]), (474,331,[1_1|2]), (475,476,[1_1|2]), (476,477,[2_1|2]), (477,478,[1_1|2]), (478,479,[0_1|2]), (479,480,[4_1|2]), (480,481,[5_1|2]), (481,482,[2_1|2]), (482,483,[0_1|2]), (483,484,[2_1|2]), (484,150,[4_1|2]), (484,351,[4_1|2]), (484,400,[4_1|2]), (484,448,[4_1|2]), (484,455,[4_1|2]), (484,463,[4_1|2]), (484,485,[4_1|2]), (484,154,[4_1|2]), (484,181,[4_1|2]), (484,475,[3_1|2]), (485,486,[3_1|2]), (486,487,[0_1|2]), (487,488,[4_1|2]), (488,489,[5_1|2]), (489,490,[3_1|2]), (490,491,[2_1|2]), (491,492,[4_1|2]), (492,493,[3_1|2]), (493,494,[0_1|2]), (494,495,[0_1|2]), (495,496,[5_1|2]), (496,497,[1_1|2]), (497,498,[5_1|2]), (498,499,[5_1|2]), (499,500,[4_1|2]), (500,501,[5_1|2]), (501,502,[3_1|2]), (502,503,[0_1|2]), (503,504,[0_1|2]), (503,224,[1_1|2]), (504,150,[4_1|2]), (504,224,[4_1|2]), (504,413,[4_1|2]), (504,429,[4_1|2]), (504,505,[4_1|2]), (504,513,[4_1|2]), (504,530,[4_1|2]), (504,539,[4_1|2]), (504,550,[4_1|2]), (504,559,[4_1|2]), (504,449,[4_1|2]), (504,464,[4_1|2]), (504,242,[4_1|2]), (504,448,[4_1|2]), (504,455,[4_1|2]), (504,463,[4_1|2]), (504,475,[3_1|2]), (504,485,[4_1|2]), (505,506,[0_1|2]), (506,507,[0_1|2]), (507,508,[0_1|2]), (508,509,[1_1|2]), (509,510,[4_1|2]), (510,511,[3_1|2]), (511,512,[5_1|2]), (511,271,[0_1|2]), (511,275,[0_1|2]), (511,615,[0_1|3]), (512,150,[4_1|2]), (512,351,[4_1|2]), (512,400,[4_1|2]), (512,448,[4_1|2]), (512,455,[4_1|2]), (512,463,[4_1|2]), (512,485,[4_1|2]), (512,241,[4_1|2]), (512,289,[4_1|2]), (512,302,[4_1|2]), (512,475,[3_1|2]), (513,514,[5_1|2]), (514,515,[5_1|2]), (515,516,[0_1|2]), (516,517,[3_1|2]), (517,518,[5_1|2]), (518,519,[0_1|2]), (519,520,[5_1|2]), (520,521,[4_1|2]), (521,522,[3_1|2]), (522,523,[4_1|2]), (523,524,[3_1|2]), (524,525,[5_1|2]), (525,526,[1_1|2]), (526,527,[3_1|2]), (527,528,[5_1|2]), (527,275,[0_1|2]), (528,529,[4_1|2]), (528,455,[4_1|2]), (528,463,[4_1|2]), (529,150,[1_1|2]), (529,153,[1_1|2]), (529,180,[1_1|2]), (529,182,[1_1|2]), (529,312,[1_1|2]), (529,372,[1_1|2]), (529,592,[1_1|2]), (529,505,[1_1|2]), (529,513,[1_1|2]), (529,530,[1_1|2]), (529,539,[1_1|2]), (529,550,[1_1|2]), (529,559,[1_1|2]), (530,531,[4_1|2]), (531,532,[3_1|2]), (532,533,[5_1|2]), (533,534,[3_1|2]), (534,535,[3_1|2]), (535,536,[1_1|2]), (536,537,[2_1|2]), (537,538,[1_1|2]), (538,150,[1_1|2]), (538,224,[1_1|2]), (538,413,[1_1|2]), (538,429,[1_1|2]), (538,505,[1_1|2]), (538,513,[1_1|2]), (538,530,[1_1|2]), (538,539,[1_1|2]), (538,550,[1_1|2]), (538,559,[1_1|2]), (538,373,[1_1|2]), (539,540,[1_1|2]), (540,541,[2_1|2]), (541,542,[0_1|2]), (542,543,[2_1|2]), (543,544,[1_1|2]), (544,545,[2_1|2]), (545,546,[3_1|2]), (546,547,[0_1|2]), (547,548,[4_1|2]), (548,549,[3_1|2]), (548,413,[1_1|2]), (548,429,[1_1|2]), (549,150,[1_1|2]), (549,224,[1_1|2]), (549,413,[1_1|2]), (549,429,[1_1|2]), (549,505,[1_1|2]), (549,513,[1_1|2]), (549,530,[1_1|2]), (549,539,[1_1|2]), (549,550,[1_1|2]), (549,559,[1_1|2]), (549,476,[1_1|2]), (550,551,[4_1|2]), (551,552,[3_1|2]), (552,553,[4_1|2]), (553,554,[0_1|2]), (554,555,[4_1|2]), (555,556,[2_1|2]), (556,557,[5_1|2]), (557,558,[5_1|2]), (558,150,[5_1|2]), (558,172,[5_1|2]), (558,240,[5_1|2]), (558,259,[5_1|2]), (558,261,[5_1|2]), (558,284,[5_1|2]), (558,288,[5_1|2]), (558,301,[5_1|2]), (558,329,[5_1|2]), (558,575,[5_1|2]), (558,360,[5_1|2]), (558,271,[0_1|2]), (558,275,[0_1|2]), (558,312,[2_1|2]), (558,613,[5_1|3]), (559,560,[5_1|2]), (560,561,[1_1|2]), (561,562,[3_1|2]), (562,563,[0_1|2]), (563,564,[0_1|2]), (564,565,[0_1|2]), (565,566,[2_1|2]), (566,567,[4_1|2]), (567,568,[4_1|2]), (568,569,[5_1|2]), (569,570,[0_1|2]), (570,571,[4_1|2]), (571,572,[0_1|2]), (572,573,[5_1|2]), (572,301,[5_1|2]), (573,574,[2_1|2]), (574,150,[5_1|2]), (574,153,[5_1|2]), (574,180,[5_1|2]), (574,182,[5_1|2]), (574,312,[5_1|2, 2_1|2]), (574,372,[5_1|2]), (574,592,[5_1|2]), (574,259,[5_1|2]), (574,261,[5_1|2]), (574,271,[0_1|2]), (574,275,[0_1|2]), (574,284,[5_1|2]), (574,288,[5_1|2]), (574,301,[5_1|2]), (574,613,[5_1|3]), (575,576,[5_1|2]), (576,577,[3_1|2]), (577,578,[0_1|2]), (578,579,[2_1|2]), (579,580,[1_1|2]), (580,581,[2_1|2]), (581,582,[1_1|2]), (582,583,[4_1|2]), (583,584,[4_1|2]), (584,585,[5_1|2]), (585,586,[5_1|2]), (586,587,[1_1|2]), (587,588,[1_1|2]), (588,589,[0_1|2]), (588,621,[2_1|3]), (589,590,[3_1|2]), (590,591,[1_1|2]), (591,150,[4_1|2]), (591,351,[4_1|2]), (591,400,[4_1|2]), (591,448,[4_1|2]), (591,455,[4_1|2]), (591,463,[4_1|2]), (591,485,[4_1|2]), (591,475,[3_1|2]), (592,593,[0_1|2]), (593,594,[0_1|2]), (594,595,[5_1|2]), (595,596,[1_1|2]), (596,597,[1_1|2]), (597,598,[4_1|2]), (598,599,[2_1|2]), (599,600,[5_1|2]), (600,601,[5_1|2]), (601,602,[3_1|2]), (602,603,[2_1|2]), (603,604,[5_1|2]), (604,605,[1_1|2]), (605,606,[4_1|2]), (606,607,[3_1|2]), (607,608,[4_1|2]), (608,609,[5_1|2]), (608,301,[5_1|2]), (609,150,[2_1|2]), (609,224,[2_1|2]), (609,413,[2_1|2]), (609,429,[2_1|2]), (609,505,[2_1|2]), (609,513,[2_1|2]), (609,530,[2_1|2]), (609,539,[2_1|2]), (609,550,[2_1|2]), (609,559,[2_1|2]), (609,430,[2_1|2]), (609,540,[2_1|2]), (609,465,[2_1|2]), (609,575,[5_1|2]), (609,592,[2_1|2]), (610,611,[5_1|3]), (611,612,[1_1|3]), (612,155,[5_1|3]), (612,329,[5_1|3]), (613,614,[3_1|3]), (614,507,[3_1|3]), (615,616,[5_1|3]), (616,617,[3_1|3]), (617,618,[1_1|3]), (617,530,[1_1|2]), (617,539,[1_1|2]), (618,150,[3_1|3]), (618,151,[3_1|3]), (618,332,[3_1|3, 3_1|2]), (618,358,[3_1|3, 3_1|2]), (618,475,[3_1|3]), (618,329,[5_1|2]), (618,351,[4_1|2]), (618,372,[2_1|2]), (618,382,[0_1|2]), (618,400,[4_1|2]), (618,413,[1_1|2]), (618,429,[1_1|2]), (619,620,[3_1|3]), (619,332,[3_1|2]), (620,180,[0_1|3]), (620,182,[0_1|3]), (620,610,[0_1|3]), (621,622,[4_1|3]), (622,475,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)