/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 45 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 99 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(x1))) -> 3(2(2(x1))) 4(2(3(2(1(x1))))) -> 0(5(3(4(x1)))) 2(2(5(1(1(2(x1)))))) -> 4(1(4(5(3(x1))))) 3(2(5(0(0(2(x1)))))) -> 4(3(1(5(1(2(x1)))))) 2(3(3(1(3(1(4(2(3(x1))))))))) -> 5(2(5(5(0(2(3(x1))))))) 2(4(3(0(5(2(4(4(1(2(4(2(x1)))))))))))) -> 4(1(5(0(4(0(0(5(5(0(2(x1))))))))))) 2(2(5(4(0(2(0(0(4(1(3(3(1(x1))))))))))))) -> 2(2(4(4(0(5(4(4(5(4(5(3(x1)))))))))))) 4(0(3(5(5(5(4(5(0(4(1(3(0(x1))))))))))))) -> 4(0(3(3(5(2(4(4(4(0(0(3(4(4(x1)))))))))))))) 4(3(2(2(5(5(2(0(0(4(3(2(4(x1))))))))))))) -> 1(2(4(4(1(1(3(5(1(2(4(4(x1)))))))))))) 5(2(0(0(0(3(3(5(1(4(0(0(5(x1))))))))))))) -> 3(1(4(1(3(1(5(1(0(3(1(2(2(x1))))))))))))) 4(0(2(5(4(0(1(2(1(0(2(5(1(1(x1)))))))))))))) -> 4(0(1(4(2(3(1(3(3(2(4(4(4(x1))))))))))))) 3(1(0(1(3(4(0(4(1(1(3(0(4(1(1(x1))))))))))))))) -> 3(1(2(0(4(0(5(1(4(1(3(5(0(5(4(x1))))))))))))))) 0(1(0(5(5(1(0(0(3(0(1(0(1(4(3(1(x1)))))))))))))))) -> 3(4(5(4(3(5(1(5(1(4(3(0(1(3(5(0(x1)))))))))))))))) 2(4(5(3(0(3(0(2(2(0(5(5(5(1(1(0(x1)))))))))))))))) -> 3(3(1(1(4(4(1(4(4(2(2(4(1(5(3(x1))))))))))))))) 5(2(1(2(1(4(3(2(4(3(3(1(5(1(3(3(x1)))))))))))))))) -> 5(5(3(3(3(3(3(5(2(4(3(4(4(0(3(x1))))))))))))))) 2(0(1(2(5(5(0(3(5(2(2(3(0(3(1(0(1(x1))))))))))))))))) -> 5(3(2(4(0(1(2(0(2(1(5(3(4(1(0(2(2(x1))))))))))))))))) 0(2(0(3(3(4(0(5(2(5(5(5(1(5(2(0(1(0(x1)))))))))))))))))) -> 3(2(2(2(1(0(5(3(5(0(1(2(0(2(1(4(4(0(x1)))))))))))))))))) 4(3(0(0(3(0(4(3(5(3(2(1(4(5(5(3(3(1(x1)))))))))))))))))) -> 4(3(3(5(5(0(3(5(3(5(0(0(5(4(2(3(0(x1))))))))))))))))) 4(4(0(4(2(0(5(4(1(1(5(0(3(2(4(2(0(3(x1)))))))))))))))))) -> 4(3(0(2(4(1(0(4(3(1(1(1(4(0(2(5(3(3(x1)))))))))))))))))) 5(5(3(5(2(4(0(4(2(1(3(0(5(3(1(2(1(2(x1)))))))))))))))))) -> 5(0(1(2(3(5(1(2(3(0(5(0(3(0(3(3(4(2(x1)))))))))))))))))) 1(4(5(2(0(2(2(2(4(1(4(3(1(3(0(2(0(5(2(x1))))))))))))))))))) -> 1(4(2(3(5(0(2(0(2(0(0(4(0(4(4(1(2(1(x1)))))))))))))))))) 2(0(0(4(0(2(3(0(2(5(5(3(4(5(4(0(4(0(2(x1))))))))))))))))))) -> 1(4(2(2(2(2(0(2(4(1(0(1(4(1(0(4(2(1(x1)))))))))))))))))) 2(1(5(4(4(1(4(0(3(5(3(0(1(5(5(5(3(2(1(x1))))))))))))))))))) -> 2(2(1(4(2(2(1(5(3(2(4(4(5(4(2(1(0(1(2(0(x1)))))))))))))))))))) 3(3(2(0(4(4(0(4(2(3(1(5(3(2(0(0(2(1(1(x1))))))))))))))))))) -> 5(5(3(1(1(1(0(5(5(0(4(1(1(1(5(0(x1)))))))))))))))) 5(3(4(3(3(3(2(4(2(0(3(1(1(2(4(2(5(3(2(x1))))))))))))))))))) -> 0(3(2(2(4(3(5(2(4(0(4(5(3(5(5(4(0(2(4(x1))))))))))))))))))) 5(3(5(3(2(5(0(2(0(3(0(2(1(1(5(5(4(0(0(x1))))))))))))))))))) -> 5(5(2(3(5(2(1(1(4(0(4(2(1(4(3(5(1(1(0(x1))))))))))))))))))) 3(5(2(5(4(4(0(1(5(5(5(0(5(1(0(0(0(4(5(1(x1)))))))))))))))))))) -> 5(3(1(0(5(1(4(4(2(1(4(3(0(5(4(0(0(5(0(3(x1)))))))))))))))))))) 4(4(2(0(5(1(4(4(0(1(0(4(5(0(3(4(0(5(4(1(x1)))))))))))))))))))) -> 4(4(4(5(5(2(4(1(1(4(4(5(5(2(4(4(1(4(4(x1))))))))))))))))))) 4(3(4(5(2(5(2(2(1(4(0(0(4(3(0(4(5(4(1(4(3(x1))))))))))))))))))))) -> 4(0(1(0(0(1(5(2(5(4(5(5(4(5(4(1(1(5(5(x1))))))))))))))))))) 4(5(2(3(0(2(3(4(3(1(3(3(4(0(2(4(3(0(4(1(1(x1))))))))))))))))))))) -> 4(4(5(4(2(4(2(4(1(3(4(4(2(0(1(4(1(2(2(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_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(2(x1))) -> 3(2(2(x1))) 4(2(3(2(1(x1))))) -> 0(5(3(4(x1)))) 2(2(5(1(1(2(x1)))))) -> 4(1(4(5(3(x1))))) 3(2(5(0(0(2(x1)))))) -> 4(3(1(5(1(2(x1)))))) 2(3(3(1(3(1(4(2(3(x1))))))))) -> 5(2(5(5(0(2(3(x1))))))) 2(4(3(0(5(2(4(4(1(2(4(2(x1)))))))))))) -> 4(1(5(0(4(0(0(5(5(0(2(x1))))))))))) 2(2(5(4(0(2(0(0(4(1(3(3(1(x1))))))))))))) -> 2(2(4(4(0(5(4(4(5(4(5(3(x1)))))))))))) 4(0(3(5(5(5(4(5(0(4(1(3(0(x1))))))))))))) -> 4(0(3(3(5(2(4(4(4(0(0(3(4(4(x1)))))))))))))) 4(3(2(2(5(5(2(0(0(4(3(2(4(x1))))))))))))) -> 1(2(4(4(1(1(3(5(1(2(4(4(x1)))))))))))) 5(2(0(0(0(3(3(5(1(4(0(0(5(x1))))))))))))) -> 3(1(4(1(3(1(5(1(0(3(1(2(2(x1))))))))))))) 4(0(2(5(4(0(1(2(1(0(2(5(1(1(x1)))))))))))))) -> 4(0(1(4(2(3(1(3(3(2(4(4(4(x1))))))))))))) 3(1(0(1(3(4(0(4(1(1(3(0(4(1(1(x1))))))))))))))) -> 3(1(2(0(4(0(5(1(4(1(3(5(0(5(4(x1))))))))))))))) 0(1(0(5(5(1(0(0(3(0(1(0(1(4(3(1(x1)))))))))))))))) -> 3(4(5(4(3(5(1(5(1(4(3(0(1(3(5(0(x1)))))))))))))))) 2(4(5(3(0(3(0(2(2(0(5(5(5(1(1(0(x1)))))))))))))))) -> 3(3(1(1(4(4(1(4(4(2(2(4(1(5(3(x1))))))))))))))) 5(2(1(2(1(4(3(2(4(3(3(1(5(1(3(3(x1)))))))))))))))) -> 5(5(3(3(3(3(3(5(2(4(3(4(4(0(3(x1))))))))))))))) 2(0(1(2(5(5(0(3(5(2(2(3(0(3(1(0(1(x1))))))))))))))))) -> 5(3(2(4(0(1(2(0(2(1(5(3(4(1(0(2(2(x1))))))))))))))))) 0(2(0(3(3(4(0(5(2(5(5(5(1(5(2(0(1(0(x1)))))))))))))))))) -> 3(2(2(2(1(0(5(3(5(0(1(2(0(2(1(4(4(0(x1)))))))))))))))))) 4(3(0(0(3(0(4(3(5(3(2(1(4(5(5(3(3(1(x1)))))))))))))))))) -> 4(3(3(5(5(0(3(5(3(5(0(0(5(4(2(3(0(x1))))))))))))))))) 4(4(0(4(2(0(5(4(1(1(5(0(3(2(4(2(0(3(x1)))))))))))))))))) -> 4(3(0(2(4(1(0(4(3(1(1(1(4(0(2(5(3(3(x1)))))))))))))))))) 5(5(3(5(2(4(0(4(2(1(3(0(5(3(1(2(1(2(x1)))))))))))))))))) -> 5(0(1(2(3(5(1(2(3(0(5(0(3(0(3(3(4(2(x1)))))))))))))))))) 1(4(5(2(0(2(2(2(4(1(4(3(1(3(0(2(0(5(2(x1))))))))))))))))))) -> 1(4(2(3(5(0(2(0(2(0(0(4(0(4(4(1(2(1(x1)))))))))))))))))) 2(0(0(4(0(2(3(0(2(5(5(3(4(5(4(0(4(0(2(x1))))))))))))))))))) -> 1(4(2(2(2(2(0(2(4(1(0(1(4(1(0(4(2(1(x1)))))))))))))))))) 2(1(5(4(4(1(4(0(3(5(3(0(1(5(5(5(3(2(1(x1))))))))))))))))))) -> 2(2(1(4(2(2(1(5(3(2(4(4(5(4(2(1(0(1(2(0(x1)))))))))))))))))))) 3(3(2(0(4(4(0(4(2(3(1(5(3(2(0(0(2(1(1(x1))))))))))))))))))) -> 5(5(3(1(1(1(0(5(5(0(4(1(1(1(5(0(x1)))))))))))))))) 5(3(4(3(3(3(2(4(2(0(3(1(1(2(4(2(5(3(2(x1))))))))))))))))))) -> 0(3(2(2(4(3(5(2(4(0(4(5(3(5(5(4(0(2(4(x1))))))))))))))))))) 5(3(5(3(2(5(0(2(0(3(0(2(1(1(5(5(4(0(0(x1))))))))))))))))))) -> 5(5(2(3(5(2(1(1(4(0(4(2(1(4(3(5(1(1(0(x1))))))))))))))))))) 3(5(2(5(4(4(0(1(5(5(5(0(5(1(0(0(0(4(5(1(x1)))))))))))))))))))) -> 5(3(1(0(5(1(4(4(2(1(4(3(0(5(4(0(0(5(0(3(x1)))))))))))))))))))) 4(4(2(0(5(1(4(4(0(1(0(4(5(0(3(4(0(5(4(1(x1)))))))))))))))))))) -> 4(4(4(5(5(2(4(1(1(4(4(5(5(2(4(4(1(4(4(x1))))))))))))))))))) 4(3(4(5(2(5(2(2(1(4(0(0(4(3(0(4(5(4(1(4(3(x1))))))))))))))))))))) -> 4(0(1(0(0(1(5(2(5(4(5(5(4(5(4(1(1(5(5(x1))))))))))))))))))) 4(5(2(3(0(2(3(4(3(1(3(3(4(0(2(4(3(0(4(1(1(x1))))))))))))))))))))) -> 4(4(5(4(2(4(2(4(1(3(4(4(2(0(1(4(1(2(2(1(x1)))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(2(x1))) -> 3(2(2(x1))) 4(2(3(2(1(x1))))) -> 0(5(3(4(x1)))) 2(2(5(1(1(2(x1)))))) -> 4(1(4(5(3(x1))))) 3(2(5(0(0(2(x1)))))) -> 4(3(1(5(1(2(x1)))))) 2(3(3(1(3(1(4(2(3(x1))))))))) -> 5(2(5(5(0(2(3(x1))))))) 2(4(3(0(5(2(4(4(1(2(4(2(x1)))))))))))) -> 4(1(5(0(4(0(0(5(5(0(2(x1))))))))))) 2(2(5(4(0(2(0(0(4(1(3(3(1(x1))))))))))))) -> 2(2(4(4(0(5(4(4(5(4(5(3(x1)))))))))))) 4(0(3(5(5(5(4(5(0(4(1(3(0(x1))))))))))))) -> 4(0(3(3(5(2(4(4(4(0(0(3(4(4(x1)))))))))))))) 4(3(2(2(5(5(2(0(0(4(3(2(4(x1))))))))))))) -> 1(2(4(4(1(1(3(5(1(2(4(4(x1)))))))))))) 5(2(0(0(0(3(3(5(1(4(0(0(5(x1))))))))))))) -> 3(1(4(1(3(1(5(1(0(3(1(2(2(x1))))))))))))) 4(0(2(5(4(0(1(2(1(0(2(5(1(1(x1)))))))))))))) -> 4(0(1(4(2(3(1(3(3(2(4(4(4(x1))))))))))))) 3(1(0(1(3(4(0(4(1(1(3(0(4(1(1(x1))))))))))))))) -> 3(1(2(0(4(0(5(1(4(1(3(5(0(5(4(x1))))))))))))))) 0(1(0(5(5(1(0(0(3(0(1(0(1(4(3(1(x1)))))))))))))))) -> 3(4(5(4(3(5(1(5(1(4(3(0(1(3(5(0(x1)))))))))))))))) 2(4(5(3(0(3(0(2(2(0(5(5(5(1(1(0(x1)))))))))))))))) -> 3(3(1(1(4(4(1(4(4(2(2(4(1(5(3(x1))))))))))))))) 5(2(1(2(1(4(3(2(4(3(3(1(5(1(3(3(x1)))))))))))))))) -> 5(5(3(3(3(3(3(5(2(4(3(4(4(0(3(x1))))))))))))))) 2(0(1(2(5(5(0(3(5(2(2(3(0(3(1(0(1(x1))))))))))))))))) -> 5(3(2(4(0(1(2(0(2(1(5(3(4(1(0(2(2(x1))))))))))))))))) 0(2(0(3(3(4(0(5(2(5(5(5(1(5(2(0(1(0(x1)))))))))))))))))) -> 3(2(2(2(1(0(5(3(5(0(1(2(0(2(1(4(4(0(x1)))))))))))))))))) 4(3(0(0(3(0(4(3(5(3(2(1(4(5(5(3(3(1(x1)))))))))))))))))) -> 4(3(3(5(5(0(3(5(3(5(0(0(5(4(2(3(0(x1))))))))))))))))) 4(4(0(4(2(0(5(4(1(1(5(0(3(2(4(2(0(3(x1)))))))))))))))))) -> 4(3(0(2(4(1(0(4(3(1(1(1(4(0(2(5(3(3(x1)))))))))))))))))) 5(5(3(5(2(4(0(4(2(1(3(0(5(3(1(2(1(2(x1)))))))))))))))))) -> 5(0(1(2(3(5(1(2(3(0(5(0(3(0(3(3(4(2(x1)))))))))))))))))) 1(4(5(2(0(2(2(2(4(1(4(3(1(3(0(2(0(5(2(x1))))))))))))))))))) -> 1(4(2(3(5(0(2(0(2(0(0(4(0(4(4(1(2(1(x1)))))))))))))))))) 2(0(0(4(0(2(3(0(2(5(5(3(4(5(4(0(4(0(2(x1))))))))))))))))))) -> 1(4(2(2(2(2(0(2(4(1(0(1(4(1(0(4(2(1(x1)))))))))))))))))) 2(1(5(4(4(1(4(0(3(5(3(0(1(5(5(5(3(2(1(x1))))))))))))))))))) -> 2(2(1(4(2(2(1(5(3(2(4(4(5(4(2(1(0(1(2(0(x1)))))))))))))))))))) 3(3(2(0(4(4(0(4(2(3(1(5(3(2(0(0(2(1(1(x1))))))))))))))))))) -> 5(5(3(1(1(1(0(5(5(0(4(1(1(1(5(0(x1)))))))))))))))) 5(3(4(3(3(3(2(4(2(0(3(1(1(2(4(2(5(3(2(x1))))))))))))))))))) -> 0(3(2(2(4(3(5(2(4(0(4(5(3(5(5(4(0(2(4(x1))))))))))))))))))) 5(3(5(3(2(5(0(2(0(3(0(2(1(1(5(5(4(0(0(x1))))))))))))))))))) -> 5(5(2(3(5(2(1(1(4(0(4(2(1(4(3(5(1(1(0(x1))))))))))))))))))) 3(5(2(5(4(4(0(1(5(5(5(0(5(1(0(0(0(4(5(1(x1)))))))))))))))))))) -> 5(3(1(0(5(1(4(4(2(1(4(3(0(5(4(0(0(5(0(3(x1)))))))))))))))))))) 4(4(2(0(5(1(4(4(0(1(0(4(5(0(3(4(0(5(4(1(x1)))))))))))))))))))) -> 4(4(4(5(5(2(4(1(1(4(4(5(5(2(4(4(1(4(4(x1))))))))))))))))))) 4(3(4(5(2(5(2(2(1(4(0(0(4(3(0(4(5(4(1(4(3(x1))))))))))))))))))))) -> 4(0(1(0(0(1(5(2(5(4(5(5(4(5(4(1(1(5(5(x1))))))))))))))))))) 4(5(2(3(0(2(3(4(3(1(3(3(4(0(2(4(3(0(4(1(1(x1))))))))))))))))))))) -> 4(4(5(4(2(4(2(4(1(3(4(4(2(0(1(4(1(2(2(1(x1)))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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(1(2(x1))) -> 3(2(2(x1))) 4(2(3(2(1(x1))))) -> 0(5(3(4(x1)))) 2(2(5(1(1(2(x1)))))) -> 4(1(4(5(3(x1))))) 3(2(5(0(0(2(x1)))))) -> 4(3(1(5(1(2(x1)))))) 2(3(3(1(3(1(4(2(3(x1))))))))) -> 5(2(5(5(0(2(3(x1))))))) 2(4(3(0(5(2(4(4(1(2(4(2(x1)))))))))))) -> 4(1(5(0(4(0(0(5(5(0(2(x1))))))))))) 2(2(5(4(0(2(0(0(4(1(3(3(1(x1))))))))))))) -> 2(2(4(4(0(5(4(4(5(4(5(3(x1)))))))))))) 4(0(3(5(5(5(4(5(0(4(1(3(0(x1))))))))))))) -> 4(0(3(3(5(2(4(4(4(0(0(3(4(4(x1)))))))))))))) 4(3(2(2(5(5(2(0(0(4(3(2(4(x1))))))))))))) -> 1(2(4(4(1(1(3(5(1(2(4(4(x1)))))))))))) 5(2(0(0(0(3(3(5(1(4(0(0(5(x1))))))))))))) -> 3(1(4(1(3(1(5(1(0(3(1(2(2(x1))))))))))))) 4(0(2(5(4(0(1(2(1(0(2(5(1(1(x1)))))))))))))) -> 4(0(1(4(2(3(1(3(3(2(4(4(4(x1))))))))))))) 3(1(0(1(3(4(0(4(1(1(3(0(4(1(1(x1))))))))))))))) -> 3(1(2(0(4(0(5(1(4(1(3(5(0(5(4(x1))))))))))))))) 0(1(0(5(5(1(0(0(3(0(1(0(1(4(3(1(x1)))))))))))))))) -> 3(4(5(4(3(5(1(5(1(4(3(0(1(3(5(0(x1)))))))))))))))) 2(4(5(3(0(3(0(2(2(0(5(5(5(1(1(0(x1)))))))))))))))) -> 3(3(1(1(4(4(1(4(4(2(2(4(1(5(3(x1))))))))))))))) 5(2(1(2(1(4(3(2(4(3(3(1(5(1(3(3(x1)))))))))))))))) -> 5(5(3(3(3(3(3(5(2(4(3(4(4(0(3(x1))))))))))))))) 2(0(1(2(5(5(0(3(5(2(2(3(0(3(1(0(1(x1))))))))))))))))) -> 5(3(2(4(0(1(2(0(2(1(5(3(4(1(0(2(2(x1))))))))))))))))) 0(2(0(3(3(4(0(5(2(5(5(5(1(5(2(0(1(0(x1)))))))))))))))))) -> 3(2(2(2(1(0(5(3(5(0(1(2(0(2(1(4(4(0(x1)))))))))))))))))) 4(3(0(0(3(0(4(3(5(3(2(1(4(5(5(3(3(1(x1)))))))))))))))))) -> 4(3(3(5(5(0(3(5(3(5(0(0(5(4(2(3(0(x1))))))))))))))))) 4(4(0(4(2(0(5(4(1(1(5(0(3(2(4(2(0(3(x1)))))))))))))))))) -> 4(3(0(2(4(1(0(4(3(1(1(1(4(0(2(5(3(3(x1)))))))))))))))))) 5(5(3(5(2(4(0(4(2(1(3(0(5(3(1(2(1(2(x1)))))))))))))))))) -> 5(0(1(2(3(5(1(2(3(0(5(0(3(0(3(3(4(2(x1)))))))))))))))))) 1(4(5(2(0(2(2(2(4(1(4(3(1(3(0(2(0(5(2(x1))))))))))))))))))) -> 1(4(2(3(5(0(2(0(2(0(0(4(0(4(4(1(2(1(x1)))))))))))))))))) 2(0(0(4(0(2(3(0(2(5(5(3(4(5(4(0(4(0(2(x1))))))))))))))))))) -> 1(4(2(2(2(2(0(2(4(1(0(1(4(1(0(4(2(1(x1)))))))))))))))))) 2(1(5(4(4(1(4(0(3(5(3(0(1(5(5(5(3(2(1(x1))))))))))))))))))) -> 2(2(1(4(2(2(1(5(3(2(4(4(5(4(2(1(0(1(2(0(x1)))))))))))))))))))) 3(3(2(0(4(4(0(4(2(3(1(5(3(2(0(0(2(1(1(x1))))))))))))))))))) -> 5(5(3(1(1(1(0(5(5(0(4(1(1(1(5(0(x1)))))))))))))))) 5(3(4(3(3(3(2(4(2(0(3(1(1(2(4(2(5(3(2(x1))))))))))))))))))) -> 0(3(2(2(4(3(5(2(4(0(4(5(3(5(5(4(0(2(4(x1))))))))))))))))))) 5(3(5(3(2(5(0(2(0(3(0(2(1(1(5(5(4(0(0(x1))))))))))))))))))) -> 5(5(2(3(5(2(1(1(4(0(4(2(1(4(3(5(1(1(0(x1))))))))))))))))))) 3(5(2(5(4(4(0(1(5(5(5(0(5(1(0(0(0(4(5(1(x1)))))))))))))))))))) -> 5(3(1(0(5(1(4(4(2(1(4(3(0(5(4(0(0(5(0(3(x1)))))))))))))))))))) 4(4(2(0(5(1(4(4(0(1(0(4(5(0(3(4(0(5(4(1(x1)))))))))))))))))))) -> 4(4(4(5(5(2(4(1(1(4(4(5(5(2(4(4(1(4(4(x1))))))))))))))))))) 4(3(4(5(2(5(2(2(1(4(0(0(4(3(0(4(5(4(1(4(3(x1))))))))))))))))))))) -> 4(0(1(0(0(1(5(2(5(4(5(5(4(5(4(1(1(5(5(x1))))))))))))))))))) 4(5(2(3(0(2(3(4(3(1(3(3(4(0(2(4(3(0(4(1(1(x1))))))))))))))))))))) -> 4(4(5(4(2(4(2(4(1(3(4(4(2(0(1(4(1(2(2(1(x1)))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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. "[148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 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, 569, 570] {(148,149,[0_1|0, 4_1|0, 2_1|0, 3_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]), (148,150,[0_1|1, 4_1|1, 2_1|1, 3_1|1, 5_1|1, 1_1|1]), (148,151,[3_1|2]), (148,153,[3_1|2]), (148,168,[3_1|2]), (148,185,[0_1|2]), (148,188,[4_1|2]), (148,201,[4_1|2]), (148,213,[1_1|2]), (148,224,[4_1|2]), (148,240,[4_1|2]), (148,258,[4_1|2]), (148,275,[4_1|2]), (148,293,[4_1|2]), (148,312,[4_1|2]), (148,316,[2_1|2]), (148,327,[5_1|2]), (148,333,[4_1|2]), (148,343,[3_1|2]), (148,357,[5_1|2]), (148,373,[1_1|2]), (148,390,[2_1|2]), (148,409,[4_1|2]), (148,414,[3_1|2]), (148,428,[5_1|2]), (148,443,[5_1|2]), (148,462,[3_1|2]), (148,474,[5_1|2]), (148,488,[5_1|2]), (148,505,[0_1|2]), (148,523,[5_1|2]), (148,541,[1_1|2]), (149,149,[cons_0_1|0, cons_4_1|0, cons_2_1|0, cons_3_1|0, cons_5_1|0, cons_1_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 4_1|1, 2_1|1, 3_1|1, 5_1|1, 1_1|1]), (150,151,[3_1|2]), (150,153,[3_1|2]), (150,168,[3_1|2]), (150,185,[0_1|2]), (150,188,[4_1|2]), (150,201,[4_1|2]), (150,213,[1_1|2]), (150,224,[4_1|2]), (150,240,[4_1|2]), (150,258,[4_1|2]), (150,275,[4_1|2]), (150,293,[4_1|2]), (150,312,[4_1|2]), (150,316,[2_1|2]), (150,327,[5_1|2]), (150,333,[4_1|2]), (150,343,[3_1|2]), (150,357,[5_1|2]), (150,373,[1_1|2]), (150,390,[2_1|2]), (150,409,[4_1|2]), (150,414,[3_1|2]), (150,428,[5_1|2]), (150,443,[5_1|2]), (150,462,[3_1|2]), (150,474,[5_1|2]), (150,488,[5_1|2]), (150,505,[0_1|2]), (150,523,[5_1|2]), (150,541,[1_1|2]), (151,152,[2_1|2]), (151,312,[4_1|2]), (151,316,[2_1|2]), (152,150,[2_1|2]), (152,316,[2_1|2]), (152,390,[2_1|2]), (152,214,[2_1|2]), (152,312,[4_1|2]), (152,327,[5_1|2]), (152,333,[4_1|2]), (152,343,[3_1|2]), (152,357,[5_1|2]), (152,373,[1_1|2]), (153,154,[4_1|2]), (154,155,[5_1|2]), (155,156,[4_1|2]), (156,157,[3_1|2]), (157,158,[5_1|2]), (158,159,[1_1|2]), (159,160,[5_1|2]), (160,161,[1_1|2]), (161,162,[4_1|2]), (162,163,[3_1|2]), (163,164,[0_1|2]), (164,165,[1_1|2]), (165,166,[3_1|2]), (166,167,[5_1|2]), (167,150,[0_1|2]), (167,213,[0_1|2]), (167,373,[0_1|2]), (167,541,[0_1|2]), (167,415,[0_1|2]), (167,463,[0_1|2]), (167,411,[0_1|2]), (167,151,[3_1|2]), (167,153,[3_1|2]), (167,168,[3_1|2]), (167,558,[3_1|3]), (168,169,[2_1|2]), (169,170,[2_1|2]), (170,171,[2_1|2]), (171,172,[1_1|2]), (172,173,[0_1|2]), (173,174,[5_1|2]), (174,175,[3_1|2]), (175,176,[5_1|2]), (176,177,[0_1|2]), (176,560,[3_1|3]), (177,178,[1_1|2]), (178,179,[2_1|2]), (179,180,[0_1|2]), (180,181,[2_1|2]), (181,182,[1_1|2]), (182,183,[4_1|2]), (182,258,[4_1|2]), (183,184,[4_1|2]), (183,188,[4_1|2]), (183,201,[4_1|2]), (183,213,[1_1|2]), (184,150,[0_1|2]), (184,185,[0_1|2]), (184,505,[0_1|2]), (184,151,[3_1|2]), (184,153,[3_1|2]), (184,168,[3_1|2]), (184,558,[3_1|3]), (185,186,[5_1|2]), (185,505,[0_1|2]), (186,187,[3_1|2]), (187,150,[4_1|2]), (187,213,[4_1|2, 1_1|2]), (187,373,[4_1|2]), (187,541,[4_1|2]), (187,185,[0_1|2]), (187,188,[4_1|2]), (187,201,[4_1|2]), (187,224,[4_1|2]), (187,240,[4_1|2]), (187,258,[4_1|2]), (187,275,[4_1|2]), (187,293,[4_1|2]), (188,189,[0_1|2]), (189,190,[3_1|2]), (190,191,[3_1|2]), (191,192,[5_1|2]), (192,193,[2_1|2]), (193,194,[4_1|2]), (194,195,[4_1|2]), (195,196,[4_1|2]), (196,197,[0_1|2]), (197,198,[0_1|2]), (198,199,[3_1|2]), (199,200,[4_1|2]), (199,258,[4_1|2]), (199,275,[4_1|2]), (200,150,[4_1|2]), (200,185,[4_1|2, 0_1|2]), (200,505,[4_1|2]), (200,188,[4_1|2]), (200,201,[4_1|2]), (200,213,[1_1|2]), (200,224,[4_1|2]), (200,240,[4_1|2]), (200,258,[4_1|2]), (200,275,[4_1|2]), (200,293,[4_1|2]), (201,202,[0_1|2]), (202,203,[1_1|2]), (203,204,[4_1|2]), (204,205,[2_1|2]), (205,206,[3_1|2]), (206,207,[1_1|2]), (207,208,[3_1|2]), (208,209,[3_1|2]), (209,210,[2_1|2]), (210,211,[4_1|2]), (211,212,[4_1|2]), (211,258,[4_1|2]), (211,275,[4_1|2]), (212,150,[4_1|2]), (212,213,[4_1|2, 1_1|2]), (212,373,[4_1|2]), (212,541,[4_1|2]), (212,185,[0_1|2]), (212,188,[4_1|2]), (212,201,[4_1|2]), (212,224,[4_1|2]), (212,240,[4_1|2]), (212,258,[4_1|2]), (212,275,[4_1|2]), (212,293,[4_1|2]), (213,214,[2_1|2]), (214,215,[4_1|2]), (215,216,[4_1|2]), (216,217,[1_1|2]), (217,218,[1_1|2]), (218,219,[3_1|2]), (219,220,[5_1|2]), (220,221,[1_1|2]), (221,222,[2_1|2]), (222,223,[4_1|2]), (222,258,[4_1|2]), (222,275,[4_1|2]), (223,150,[4_1|2]), (223,188,[4_1|2]), (223,201,[4_1|2]), (223,224,[4_1|2]), (223,240,[4_1|2]), (223,258,[4_1|2]), (223,275,[4_1|2]), (223,293,[4_1|2]), (223,312,[4_1|2]), (223,333,[4_1|2]), (223,409,[4_1|2]), (223,185,[0_1|2]), (223,213,[1_1|2]), (224,225,[3_1|2]), (225,226,[3_1|2]), (226,227,[5_1|2]), (227,228,[5_1|2]), (228,229,[0_1|2]), (229,230,[3_1|2]), (230,231,[5_1|2]), (231,232,[3_1|2]), (232,233,[5_1|2]), (233,234,[0_1|2]), (234,235,[0_1|2]), (235,236,[5_1|2]), (236,237,[4_1|2]), (237,238,[2_1|2]), (238,239,[3_1|2]), (239,150,[0_1|2]), (239,213,[0_1|2]), (239,373,[0_1|2]), (239,541,[0_1|2]), (239,415,[0_1|2]), (239,463,[0_1|2]), (239,345,[0_1|2]), (239,151,[3_1|2]), (239,153,[3_1|2]), (239,168,[3_1|2]), (239,558,[3_1|3]), (240,241,[0_1|2]), (241,242,[1_1|2]), (242,243,[0_1|2]), (243,244,[0_1|2]), (244,245,[1_1|2]), (245,246,[5_1|2]), (246,247,[2_1|2]), (247,248,[5_1|2]), (248,249,[4_1|2]), (249,250,[5_1|2]), (250,251,[5_1|2]), (251,252,[4_1|2]), (252,253,[5_1|2]), (253,254,[4_1|2]), (254,255,[1_1|2]), (255,256,[1_1|2]), (256,257,[5_1|2]), (256,488,[5_1|2]), (257,150,[5_1|2]), (257,151,[5_1|2]), (257,153,[5_1|2]), (257,168,[5_1|2]), (257,343,[5_1|2]), (257,414,[5_1|2]), (257,462,[5_1|2, 3_1|2]), (257,225,[5_1|2]), (257,259,[5_1|2]), (257,410,[5_1|2]), (257,474,[5_1|2]), (257,488,[5_1|2]), (257,505,[0_1|2]), (257,523,[5_1|2]), (258,259,[3_1|2]), (259,260,[0_1|2]), (260,261,[2_1|2]), (261,262,[4_1|2]), (262,263,[1_1|2]), (263,264,[0_1|2]), (264,265,[4_1|2]), (265,266,[3_1|2]), (266,267,[1_1|2]), (267,268,[1_1|2]), (268,269,[1_1|2]), (269,270,[4_1|2]), (270,271,[0_1|2]), (271,272,[2_1|2]), (272,273,[5_1|2]), (273,274,[3_1|2]), (273,428,[5_1|2]), (274,150,[3_1|2]), (274,151,[3_1|2]), (274,153,[3_1|2]), (274,168,[3_1|2]), (274,343,[3_1|2]), (274,414,[3_1|2]), (274,462,[3_1|2]), (274,506,[3_1|2]), (274,409,[4_1|2]), (274,428,[5_1|2]), (274,443,[5_1|2]), (275,276,[4_1|2]), (276,277,[4_1|2]), (277,278,[5_1|2]), (278,279,[5_1|2]), (279,280,[2_1|2]), (280,281,[4_1|2]), (281,282,[1_1|2]), (282,283,[1_1|2]), (283,284,[4_1|2]), (284,285,[4_1|2]), (285,286,[5_1|2]), (286,287,[5_1|2]), (287,288,[2_1|2]), (288,289,[4_1|2]), (289,290,[4_1|2]), (290,291,[1_1|2]), (291,292,[4_1|2]), (291,258,[4_1|2]), (291,275,[4_1|2]), (292,150,[4_1|2]), (292,213,[4_1|2, 1_1|2]), (292,373,[4_1|2]), (292,541,[4_1|2]), (292,313,[4_1|2]), (292,334,[4_1|2]), (292,185,[0_1|2]), (292,188,[4_1|2]), (292,201,[4_1|2]), (292,224,[4_1|2]), (292,240,[4_1|2]), (292,258,[4_1|2]), (292,275,[4_1|2]), (292,293,[4_1|2]), (293,294,[4_1|2]), (294,295,[5_1|2]), (295,296,[4_1|2]), (296,297,[2_1|2]), (297,298,[4_1|2]), (298,299,[2_1|2]), (299,300,[4_1|2]), (300,301,[1_1|2]), (301,302,[3_1|2]), (302,303,[4_1|2]), (303,304,[4_1|2]), (304,305,[2_1|2]), (305,306,[0_1|2]), (306,307,[1_1|2]), (307,308,[4_1|2]), (308,309,[1_1|2]), (309,310,[2_1|2]), (310,311,[2_1|2]), (310,390,[2_1|2]), (311,150,[1_1|2]), (311,213,[1_1|2]), (311,373,[1_1|2]), (311,541,[1_1|2]), (312,313,[1_1|2]), (313,314,[4_1|2]), (314,315,[5_1|2]), (314,505,[0_1|2]), (314,523,[5_1|2]), (315,150,[3_1|2]), (315,316,[3_1|2]), (315,390,[3_1|2]), (315,214,[3_1|2]), (315,409,[4_1|2]), (315,414,[3_1|2]), (315,428,[5_1|2]), (315,443,[5_1|2]), (316,317,[2_1|2]), (317,318,[4_1|2]), (318,319,[4_1|2]), (319,320,[0_1|2]), (320,321,[5_1|2]), (321,322,[4_1|2]), (322,323,[4_1|2]), (323,324,[5_1|2]), (324,325,[4_1|2]), (325,326,[5_1|2]), (325,505,[0_1|2]), (325,523,[5_1|2]), (326,150,[3_1|2]), (326,213,[3_1|2]), (326,373,[3_1|2]), (326,541,[3_1|2]), (326,415,[3_1|2]), (326,463,[3_1|2]), (326,345,[3_1|2]), (326,409,[4_1|2]), (326,414,[3_1|2]), (326,428,[5_1|2]), (326,443,[5_1|2]), (327,328,[2_1|2]), (328,329,[5_1|2]), (329,330,[5_1|2]), (330,331,[0_1|2]), (331,332,[2_1|2]), (331,327,[5_1|2]), (332,150,[3_1|2]), (332,151,[3_1|2]), (332,153,[3_1|2]), (332,168,[3_1|2]), (332,343,[3_1|2]), (332,414,[3_1|2]), (332,462,[3_1|2]), (332,544,[3_1|2]), (332,409,[4_1|2]), (332,428,[5_1|2]), (332,443,[5_1|2]), (333,334,[1_1|2]), (334,335,[5_1|2]), (335,336,[0_1|2]), (336,337,[4_1|2]), (337,338,[0_1|2]), (338,339,[0_1|2]), (339,340,[5_1|2]), (340,341,[5_1|2]), (341,342,[0_1|2]), (341,168,[3_1|2]), (342,150,[2_1|2]), (342,316,[2_1|2]), (342,390,[2_1|2]), (342,312,[4_1|2]), (342,327,[5_1|2]), (342,333,[4_1|2]), (342,343,[3_1|2]), (342,357,[5_1|2]), (342,373,[1_1|2]), (343,344,[3_1|2]), (344,345,[1_1|2]), (345,346,[1_1|2]), (346,347,[4_1|2]), (347,348,[4_1|2]), (348,349,[1_1|2]), (349,350,[4_1|2]), (350,351,[4_1|2]), (351,352,[2_1|2]), (352,353,[2_1|2]), (353,354,[4_1|2]), (354,355,[1_1|2]), (355,356,[5_1|2]), (355,505,[0_1|2]), (355,523,[5_1|2]), (356,150,[3_1|2]), (356,185,[3_1|2]), (356,505,[3_1|2]), (356,409,[4_1|2]), (356,414,[3_1|2]), (356,428,[5_1|2]), (356,443,[5_1|2]), (357,358,[3_1|2]), (358,359,[2_1|2]), (359,360,[4_1|2]), (360,361,[0_1|2]), (360,562,[3_1|3]), (361,362,[1_1|2]), (362,363,[2_1|2]), (363,364,[0_1|2]), (364,365,[2_1|2]), (365,366,[1_1|2]), (366,367,[5_1|2]), (367,368,[3_1|2]), (368,369,[4_1|2]), (369,370,[1_1|2]), (370,371,[0_1|2]), (371,372,[2_1|2]), (371,312,[4_1|2]), (371,316,[2_1|2]), (372,150,[2_1|2]), (372,213,[2_1|2]), (372,373,[2_1|2, 1_1|2]), (372,541,[2_1|2]), (372,312,[4_1|2]), (372,316,[2_1|2]), (372,327,[5_1|2]), (372,333,[4_1|2]), (372,343,[3_1|2]), (372,357,[5_1|2]), (372,390,[2_1|2]), (373,374,[4_1|2]), (374,375,[2_1|2]), (375,376,[2_1|2]), (376,377,[2_1|2]), (377,378,[2_1|2]), (378,379,[0_1|2]), (379,380,[2_1|2]), (380,381,[4_1|2]), (381,382,[1_1|2]), (382,383,[0_1|2]), (383,384,[1_1|2]), (384,385,[4_1|2]), (385,386,[1_1|2]), (386,387,[0_1|2]), (387,388,[4_1|2]), (388,389,[2_1|2]), (388,390,[2_1|2]), (389,150,[1_1|2]), (389,316,[1_1|2]), (389,390,[1_1|2]), (389,541,[1_1|2]), (390,391,[2_1|2]), (391,392,[1_1|2]), (392,393,[4_1|2]), (393,394,[2_1|2]), (394,395,[2_1|2]), (395,396,[1_1|2]), (396,397,[5_1|2]), (397,398,[3_1|2]), (398,399,[2_1|2]), (399,400,[4_1|2]), (400,401,[4_1|2]), (401,402,[5_1|2]), (402,403,[4_1|2]), (403,404,[2_1|2]), (404,405,[1_1|2]), (405,406,[0_1|2]), (405,564,[3_1|3]), (406,407,[1_1|2]), (407,408,[2_1|2]), (407,357,[5_1|2]), (407,373,[1_1|2]), (408,150,[0_1|2]), (408,213,[0_1|2]), (408,373,[0_1|2]), (408,541,[0_1|2]), (408,151,[3_1|2]), (408,153,[3_1|2]), (408,168,[3_1|2]), (408,558,[3_1|3]), (409,410,[3_1|2]), (410,411,[1_1|2]), (411,412,[5_1|2]), (412,413,[1_1|2]), (413,150,[2_1|2]), (413,316,[2_1|2]), (413,390,[2_1|2]), (413,312,[4_1|2]), (413,327,[5_1|2]), (413,333,[4_1|2]), (413,343,[3_1|2]), (413,357,[5_1|2]), (413,373,[1_1|2]), (414,415,[1_1|2]), (415,416,[2_1|2]), (416,417,[0_1|2]), (417,418,[4_1|2]), (418,419,[0_1|2]), (419,420,[5_1|2]), (420,421,[1_1|2]), (421,422,[4_1|2]), (422,423,[1_1|2]), (423,424,[3_1|2]), (424,425,[5_1|2]), (425,426,[0_1|2]), (426,427,[5_1|2]), (427,150,[4_1|2]), (427,213,[4_1|2, 1_1|2]), (427,373,[4_1|2]), (427,541,[4_1|2]), (427,185,[0_1|2]), (427,188,[4_1|2]), (427,201,[4_1|2]), (427,224,[4_1|2]), (427,240,[4_1|2]), (427,258,[4_1|2]), (427,275,[4_1|2]), (427,293,[4_1|2]), (428,429,[5_1|2]), (429,430,[3_1|2]), (430,431,[1_1|2]), (431,432,[1_1|2]), (432,433,[1_1|2]), (433,434,[0_1|2]), (434,435,[5_1|2]), (435,436,[5_1|2]), (436,437,[0_1|2]), (437,438,[4_1|2]), (438,439,[1_1|2]), (439,440,[1_1|2]), (440,441,[1_1|2]), (441,442,[5_1|2]), (442,150,[0_1|2]), (442,213,[0_1|2]), (442,373,[0_1|2]), (442,541,[0_1|2]), (442,151,[3_1|2]), (442,153,[3_1|2]), (442,168,[3_1|2]), (442,558,[3_1|3]), (443,444,[3_1|2]), (444,445,[1_1|2]), (445,446,[0_1|2]), (446,447,[5_1|2]), (447,448,[1_1|2]), (448,449,[4_1|2]), (449,450,[4_1|2]), (450,451,[2_1|2]), (451,452,[1_1|2]), (452,453,[4_1|2]), (453,454,[3_1|2]), (454,455,[0_1|2]), (455,456,[5_1|2]), (456,457,[4_1|2]), (457,458,[0_1|2]), (458,459,[0_1|2]), (459,460,[5_1|2]), (460,461,[0_1|2]), (461,150,[3_1|2]), (461,213,[3_1|2]), (461,373,[3_1|2]), (461,541,[3_1|2]), (461,409,[4_1|2]), (461,414,[3_1|2]), (461,428,[5_1|2]), (461,443,[5_1|2]), (462,463,[1_1|2]), (463,464,[4_1|2]), (464,465,[1_1|2]), (465,466,[3_1|2]), (466,467,[1_1|2]), (467,468,[5_1|2]), (468,469,[1_1|2]), (469,470,[0_1|2]), (470,471,[3_1|2]), (471,472,[1_1|2]), (472,473,[2_1|2]), (472,312,[4_1|2]), (472,316,[2_1|2]), (473,150,[2_1|2]), (473,327,[2_1|2, 5_1|2]), (473,357,[2_1|2, 5_1|2]), (473,428,[2_1|2]), (473,443,[2_1|2]), (473,474,[2_1|2]), (473,488,[2_1|2]), (473,523,[2_1|2]), (473,186,[2_1|2]), (473,312,[4_1|2]), (473,316,[2_1|2]), (473,333,[4_1|2]), (473,343,[3_1|2]), (473,373,[1_1|2]), (473,390,[2_1|2]), (474,475,[5_1|2]), (475,476,[3_1|2]), (476,477,[3_1|2]), (477,478,[3_1|2]), (478,479,[3_1|2]), (479,480,[3_1|2]), (480,481,[5_1|2]), (481,482,[2_1|2]), (482,483,[4_1|2]), (483,484,[3_1|2]), (484,485,[4_1|2]), (485,486,[4_1|2]), (485,188,[4_1|2]), (486,487,[0_1|2]), (487,150,[3_1|2]), (487,151,[3_1|2]), (487,153,[3_1|2]), (487,168,[3_1|2]), (487,343,[3_1|2]), (487,414,[3_1|2]), (487,462,[3_1|2]), (487,344,[3_1|2]), (487,409,[4_1|2]), (487,428,[5_1|2]), (487,443,[5_1|2]), (488,489,[0_1|2]), (488,566,[3_1|3]), (489,490,[1_1|2]), (490,491,[2_1|2]), (491,492,[3_1|2]), (492,493,[5_1|2]), (493,494,[1_1|2]), (494,495,[2_1|2]), (495,496,[3_1|2]), (496,497,[0_1|2]), (497,498,[5_1|2]), (498,499,[0_1|2]), (499,500,[3_1|2]), (500,501,[0_1|2]), (501,502,[3_1|2]), (502,503,[3_1|2]), (503,504,[4_1|2]), (503,185,[0_1|2]), (503,568,[0_1|3]), (504,150,[2_1|2]), (504,316,[2_1|2]), (504,390,[2_1|2]), (504,214,[2_1|2]), (504,312,[4_1|2]), (504,327,[5_1|2]), (504,333,[4_1|2]), (504,343,[3_1|2]), (504,357,[5_1|2]), (504,373,[1_1|2]), (505,506,[3_1|2]), (506,507,[2_1|2]), (507,508,[2_1|2]), (508,509,[4_1|2]), (509,510,[3_1|2]), (510,511,[5_1|2]), (511,512,[2_1|2]), (512,513,[4_1|2]), (513,514,[0_1|2]), (514,515,[4_1|2]), (515,516,[5_1|2]), (516,517,[3_1|2]), (517,518,[5_1|2]), (518,519,[5_1|2]), (519,520,[4_1|2]), (520,521,[0_1|2]), (521,522,[2_1|2]), (521,333,[4_1|2]), (521,343,[3_1|2]), (522,150,[4_1|2]), (522,316,[4_1|2]), (522,390,[4_1|2]), (522,152,[4_1|2]), (522,169,[4_1|2]), (522,359,[4_1|2]), (522,185,[0_1|2]), (522,188,[4_1|2]), (522,201,[4_1|2]), (522,213,[1_1|2]), (522,224,[4_1|2]), (522,240,[4_1|2]), (522,258,[4_1|2]), (522,275,[4_1|2]), (522,293,[4_1|2]), (522,567,[4_1|2]), (522,568,[0_1|3]), (523,524,[5_1|2]), (524,525,[2_1|2]), (525,526,[3_1|2]), (526,527,[5_1|2]), (527,528,[2_1|2]), (528,529,[1_1|2]), (529,530,[1_1|2]), (530,531,[4_1|2]), (531,532,[0_1|2]), (532,533,[4_1|2]), (533,534,[2_1|2]), (534,535,[1_1|2]), (535,536,[4_1|2]), (536,537,[3_1|2]), (537,538,[5_1|2]), (538,539,[1_1|2]), (539,540,[1_1|2]), (540,150,[0_1|2]), (540,185,[0_1|2]), (540,505,[0_1|2]), (540,151,[3_1|2]), (540,153,[3_1|2]), (540,168,[3_1|2]), (540,558,[3_1|3]), (541,542,[4_1|2]), (542,543,[2_1|2]), (543,544,[3_1|2]), (544,545,[5_1|2]), (545,546,[0_1|2]), (546,547,[2_1|2]), (547,548,[0_1|2]), (548,549,[2_1|2]), (549,550,[0_1|2]), (550,551,[0_1|2]), (551,552,[4_1|2]), (552,553,[0_1|2]), (553,554,[4_1|2]), (554,555,[4_1|2]), (555,556,[1_1|2]), (556,557,[2_1|2]), (556,390,[2_1|2]), (557,150,[1_1|2]), (557,316,[1_1|2]), (557,390,[1_1|2]), (557,328,[1_1|2]), (557,541,[1_1|2]), (558,559,[2_1|3]), (559,214,[2_1|3]), (560,561,[2_1|3]), (561,179,[2_1|3]), (562,563,[2_1|3]), (563,363,[2_1|3]), (564,565,[2_1|3]), (565,408,[2_1|3]), (565,357,[5_1|2]), (565,373,[1_1|2]), (566,567,[2_1|3]), (567,491,[2_1|3]), (568,569,[5_1|3]), (569,570,[3_1|3]), (570,373,[4_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)