/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 40 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 66 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(3(2(x1))))) -> 4(4(5(2(x1)))) 5(0(3(4(3(1(5(x1))))))) -> 5(2(3(0(0(5(5(x1))))))) 0(0(3(2(5(3(2(0(x1)))))))) -> 0(3(0(1(5(4(3(x1))))))) 0(1(0(5(3(0(3(4(x1)))))))) -> 1(5(3(1(1(5(4(x1))))))) 2(2(5(3(1(4(4(3(3(x1))))))))) -> 3(0(0(0(3(3(1(2(5(x1))))))))) 1(5(3(2(3(0(5(3(3(5(x1)))))))))) -> 1(5(5(1(0(1(3(4(5(x1))))))))) 2(0(1(0(1(5(0(3(3(0(x1)))))))))) -> 3(3(5(0(3(3(0(4(0(x1))))))))) 2(0(4(1(3(1(4(5(5(5(x1)))))))))) -> 2(3(5(4(0(2(3(4(5(1(x1)))))))))) 0(4(4(5(5(3(2(2(2(5(3(x1))))))))))) -> 2(4(1(1(0(0(5(4(4(3(x1)))))))))) 2(5(2(5(0(4(4(3(4(2(5(x1))))))))))) -> 1(2(5(0(0(3(3(0(4(1(5(x1))))))))))) 0(1(1(5(0(1(5(5(4(5(5(4(x1)))))))))))) -> 2(4(2(4(5(5(5(0(0(5(4(x1))))))))))) 3(0(3(5(3(3(0(2(5(3(3(4(x1)))))))))))) -> 2(3(3(1(5(4(3(5(3(0(4(x1))))))))))) 4(0(3(3(1(1(3(5(4(3(3(4(1(x1))))))))))))) -> 4(0(5(0(5(3(4(2(4(2(2(0(x1)))))))))))) 4(4(0(3(4(1(0(1(1(3(1(0(2(x1))))))))))))) -> 4(0(4(1(5(1(3(1(2(2(1(2(x1)))))))))))) 1(1(2(1(5(5(3(1(3(2(0(3(1(1(x1)))))))))))))) -> 3(2(3(5(5(5(4(3(0(0(2(3(0(x1))))))))))))) 4(4(5(2(0(3(3(3(1(0(3(5(2(4(x1)))))))))))))) -> 4(2(1(3(3(1(2(4(2(5(0(3(4(x1))))))))))))) 2(5(2(3(4(4(5(4(5(1(5(3(0(5(4(x1))))))))))))))) -> 3(1(3(1(2(2(1(3(5(4(3(0(3(1(4(x1))))))))))))))) 2(5(5(5(4(1(1(4(4(5(0(4(0(3(3(5(x1)))))))))))))))) -> 5(4(2(5(1(2(2(5(1(3(5(0(1(5(0(0(5(x1))))))))))))))))) 5(4(3(3(4(1(0(0(3(2(2(2(5(4(3(4(x1)))))))))))))))) -> 5(4(2(3(2(0(3(4(5(4(4(2(1(1(3(4(x1)))))))))))))))) 2(1(5(2(1(3(3(3(5(5(4(1(2(0(2(5(2(x1))))))))))))))))) -> 3(0(3(2(2(3(2(3(1(2(1(1(3(5(2(1(1(1(x1)))))))))))))))))) 4(0(0(1(2(3(1(0(2(1(5(3(2(1(3(1(0(x1))))))))))))))))) -> 4(1(5(5(4(3(1(4(4(5(3(4(5(0(3(x1))))))))))))))) 1(0(2(1(5(5(5(1(5(3(0(5(2(4(3(4(0(5(2(x1))))))))))))))))))) -> 1(1(3(3(0(1(5(0(0(4(1(2(2(5(1(5(2(3(3(2(x1)))))))))))))))))))) 3(3(2(0(5(2(3(2(2(1(0(3(5(4(2(2(1(3(5(4(x1)))))))))))))))))))) -> 3(2(0(1(2(0(4(5(1(2(2(4(1(0(2(5(2(1(4(x1))))))))))))))))))) 1(4(5(1(1(5(0(1(5(0(2(3(0(4(5(5(4(5(0(5(3(x1))))))))))))))))))))) -> 4(3(3(0(1(5(4(2(1(4(5(3(5(5(3(4(5(5(2(0(x1)))))))))))))))))))) 3(5(4(4(1(0(5(5(2(3(1(0(2(4(5(1(5(0(3(5(0(x1))))))))))))))))))))) -> 3(2(2(4(3(3(2(4(1(4(3(0(0(1(1(1(4(4(5(1(x1)))))))))))))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (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_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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 (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(3(2(x1))))) -> 4(4(5(2(x1)))) 5(0(3(4(3(1(5(x1))))))) -> 5(2(3(0(0(5(5(x1))))))) 0(0(3(2(5(3(2(0(x1)))))))) -> 0(3(0(1(5(4(3(x1))))))) 0(1(0(5(3(0(3(4(x1)))))))) -> 1(5(3(1(1(5(4(x1))))))) 2(2(5(3(1(4(4(3(3(x1))))))))) -> 3(0(0(0(3(3(1(2(5(x1))))))))) 1(5(3(2(3(0(5(3(3(5(x1)))))))))) -> 1(5(5(1(0(1(3(4(5(x1))))))))) 2(0(1(0(1(5(0(3(3(0(x1)))))))))) -> 3(3(5(0(3(3(0(4(0(x1))))))))) 2(0(4(1(3(1(4(5(5(5(x1)))))))))) -> 2(3(5(4(0(2(3(4(5(1(x1)))))))))) 0(4(4(5(5(3(2(2(2(5(3(x1))))))))))) -> 2(4(1(1(0(0(5(4(4(3(x1)))))))))) 2(5(2(5(0(4(4(3(4(2(5(x1))))))))))) -> 1(2(5(0(0(3(3(0(4(1(5(x1))))))))))) 0(1(1(5(0(1(5(5(4(5(5(4(x1)))))))))))) -> 2(4(2(4(5(5(5(0(0(5(4(x1))))))))))) 3(0(3(5(3(3(0(2(5(3(3(4(x1)))))))))))) -> 2(3(3(1(5(4(3(5(3(0(4(x1))))))))))) 4(0(3(3(1(1(3(5(4(3(3(4(1(x1))))))))))))) -> 4(0(5(0(5(3(4(2(4(2(2(0(x1)))))))))))) 4(4(0(3(4(1(0(1(1(3(1(0(2(x1))))))))))))) -> 4(0(4(1(5(1(3(1(2(2(1(2(x1)))))))))))) 1(1(2(1(5(5(3(1(3(2(0(3(1(1(x1)))))))))))))) -> 3(2(3(5(5(5(4(3(0(0(2(3(0(x1))))))))))))) 4(4(5(2(0(3(3(3(1(0(3(5(2(4(x1)))))))))))))) -> 4(2(1(3(3(1(2(4(2(5(0(3(4(x1))))))))))))) 2(5(2(3(4(4(5(4(5(1(5(3(0(5(4(x1))))))))))))))) -> 3(1(3(1(2(2(1(3(5(4(3(0(3(1(4(x1))))))))))))))) 2(5(5(5(4(1(1(4(4(5(0(4(0(3(3(5(x1)))))))))))))))) -> 5(4(2(5(1(2(2(5(1(3(5(0(1(5(0(0(5(x1))))))))))))))))) 5(4(3(3(4(1(0(0(3(2(2(2(5(4(3(4(x1)))))))))))))))) -> 5(4(2(3(2(0(3(4(5(4(4(2(1(1(3(4(x1)))))))))))))))) 2(1(5(2(1(3(3(3(5(5(4(1(2(0(2(5(2(x1))))))))))))))))) -> 3(0(3(2(2(3(2(3(1(2(1(1(3(5(2(1(1(1(x1)))))))))))))))))) 4(0(0(1(2(3(1(0(2(1(5(3(2(1(3(1(0(x1))))))))))))))))) -> 4(1(5(5(4(3(1(4(4(5(3(4(5(0(3(x1))))))))))))))) 1(0(2(1(5(5(5(1(5(3(0(5(2(4(3(4(0(5(2(x1))))))))))))))))))) -> 1(1(3(3(0(1(5(0(0(4(1(2(2(5(1(5(2(3(3(2(x1)))))))))))))))))))) 3(3(2(0(5(2(3(2(2(1(0(3(5(4(2(2(1(3(5(4(x1)))))))))))))))))))) -> 3(2(0(1(2(0(4(5(1(2(2(4(1(0(2(5(2(1(4(x1))))))))))))))))))) 1(4(5(1(1(5(0(1(5(0(2(3(0(4(5(5(4(5(0(5(3(x1))))))))))))))))))))) -> 4(3(3(0(1(5(4(2(1(4(5(3(5(5(3(4(5(5(2(0(x1)))))))))))))))))))) 3(5(4(4(1(0(5(5(2(3(1(0(2(4(5(1(5(0(3(5(0(x1))))))))))))))))))))) -> 3(2(2(4(3(3(2(4(1(4(3(0(0(1(1(1(4(4(5(1(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_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(3(2(x1))))) -> 4(4(5(2(x1)))) 5(0(3(4(3(1(5(x1))))))) -> 5(2(3(0(0(5(5(x1))))))) 0(0(3(2(5(3(2(0(x1)))))))) -> 0(3(0(1(5(4(3(x1))))))) 0(1(0(5(3(0(3(4(x1)))))))) -> 1(5(3(1(1(5(4(x1))))))) 2(2(5(3(1(4(4(3(3(x1))))))))) -> 3(0(0(0(3(3(1(2(5(x1))))))))) 1(5(3(2(3(0(5(3(3(5(x1)))))))))) -> 1(5(5(1(0(1(3(4(5(x1))))))))) 2(0(1(0(1(5(0(3(3(0(x1)))))))))) -> 3(3(5(0(3(3(0(4(0(x1))))))))) 2(0(4(1(3(1(4(5(5(5(x1)))))))))) -> 2(3(5(4(0(2(3(4(5(1(x1)))))))))) 0(4(4(5(5(3(2(2(2(5(3(x1))))))))))) -> 2(4(1(1(0(0(5(4(4(3(x1)))))))))) 2(5(2(5(0(4(4(3(4(2(5(x1))))))))))) -> 1(2(5(0(0(3(3(0(4(1(5(x1))))))))))) 0(1(1(5(0(1(5(5(4(5(5(4(x1)))))))))))) -> 2(4(2(4(5(5(5(0(0(5(4(x1))))))))))) 3(0(3(5(3(3(0(2(5(3(3(4(x1)))))))))))) -> 2(3(3(1(5(4(3(5(3(0(4(x1))))))))))) 4(0(3(3(1(1(3(5(4(3(3(4(1(x1))))))))))))) -> 4(0(5(0(5(3(4(2(4(2(2(0(x1)))))))))))) 4(4(0(3(4(1(0(1(1(3(1(0(2(x1))))))))))))) -> 4(0(4(1(5(1(3(1(2(2(1(2(x1)))))))))))) 1(1(2(1(5(5(3(1(3(2(0(3(1(1(x1)))))))))))))) -> 3(2(3(5(5(5(4(3(0(0(2(3(0(x1))))))))))))) 4(4(5(2(0(3(3(3(1(0(3(5(2(4(x1)))))))))))))) -> 4(2(1(3(3(1(2(4(2(5(0(3(4(x1))))))))))))) 2(5(2(3(4(4(5(4(5(1(5(3(0(5(4(x1))))))))))))))) -> 3(1(3(1(2(2(1(3(5(4(3(0(3(1(4(x1))))))))))))))) 2(5(5(5(4(1(1(4(4(5(0(4(0(3(3(5(x1)))))))))))))))) -> 5(4(2(5(1(2(2(5(1(3(5(0(1(5(0(0(5(x1))))))))))))))))) 5(4(3(3(4(1(0(0(3(2(2(2(5(4(3(4(x1)))))))))))))))) -> 5(4(2(3(2(0(3(4(5(4(4(2(1(1(3(4(x1)))))))))))))))) 2(1(5(2(1(3(3(3(5(5(4(1(2(0(2(5(2(x1))))))))))))))))) -> 3(0(3(2(2(3(2(3(1(2(1(1(3(5(2(1(1(1(x1)))))))))))))))))) 4(0(0(1(2(3(1(0(2(1(5(3(2(1(3(1(0(x1))))))))))))))))) -> 4(1(5(5(4(3(1(4(4(5(3(4(5(0(3(x1))))))))))))))) 1(0(2(1(5(5(5(1(5(3(0(5(2(4(3(4(0(5(2(x1))))))))))))))))))) -> 1(1(3(3(0(1(5(0(0(4(1(2(2(5(1(5(2(3(3(2(x1)))))))))))))))))))) 3(3(2(0(5(2(3(2(2(1(0(3(5(4(2(2(1(3(5(4(x1)))))))))))))))))))) -> 3(2(0(1(2(0(4(5(1(2(2(4(1(0(2(5(2(1(4(x1))))))))))))))))))) 1(4(5(1(1(5(0(1(5(0(2(3(0(4(5(5(4(5(0(5(3(x1))))))))))))))))))))) -> 4(3(3(0(1(5(4(2(1(4(5(3(5(5(3(4(5(5(2(0(x1)))))))))))))))))))) 3(5(4(4(1(0(5(5(2(3(1(0(2(4(5(1(5(0(3(5(0(x1))))))))))))))))))))) -> 3(2(2(4(3(3(2(4(1(4(3(0(0(1(1(1(4(4(5(1(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_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(1(2(3(2(x1))))) -> 4(4(5(2(x1)))) 5(0(3(4(3(1(5(x1))))))) -> 5(2(3(0(0(5(5(x1))))))) 0(0(3(2(5(3(2(0(x1)))))))) -> 0(3(0(1(5(4(3(x1))))))) 0(1(0(5(3(0(3(4(x1)))))))) -> 1(5(3(1(1(5(4(x1))))))) 2(2(5(3(1(4(4(3(3(x1))))))))) -> 3(0(0(0(3(3(1(2(5(x1))))))))) 1(5(3(2(3(0(5(3(3(5(x1)))))))))) -> 1(5(5(1(0(1(3(4(5(x1))))))))) 2(0(1(0(1(5(0(3(3(0(x1)))))))))) -> 3(3(5(0(3(3(0(4(0(x1))))))))) 2(0(4(1(3(1(4(5(5(5(x1)))))))))) -> 2(3(5(4(0(2(3(4(5(1(x1)))))))))) 0(4(4(5(5(3(2(2(2(5(3(x1))))))))))) -> 2(4(1(1(0(0(5(4(4(3(x1)))))))))) 2(5(2(5(0(4(4(3(4(2(5(x1))))))))))) -> 1(2(5(0(0(3(3(0(4(1(5(x1))))))))))) 0(1(1(5(0(1(5(5(4(5(5(4(x1)))))))))))) -> 2(4(2(4(5(5(5(0(0(5(4(x1))))))))))) 3(0(3(5(3(3(0(2(5(3(3(4(x1)))))))))))) -> 2(3(3(1(5(4(3(5(3(0(4(x1))))))))))) 4(0(3(3(1(1(3(5(4(3(3(4(1(x1))))))))))))) -> 4(0(5(0(5(3(4(2(4(2(2(0(x1)))))))))))) 4(4(0(3(4(1(0(1(1(3(1(0(2(x1))))))))))))) -> 4(0(4(1(5(1(3(1(2(2(1(2(x1)))))))))))) 1(1(2(1(5(5(3(1(3(2(0(3(1(1(x1)))))))))))))) -> 3(2(3(5(5(5(4(3(0(0(2(3(0(x1))))))))))))) 4(4(5(2(0(3(3(3(1(0(3(5(2(4(x1)))))))))))))) -> 4(2(1(3(3(1(2(4(2(5(0(3(4(x1))))))))))))) 2(5(2(3(4(4(5(4(5(1(5(3(0(5(4(x1))))))))))))))) -> 3(1(3(1(2(2(1(3(5(4(3(0(3(1(4(x1))))))))))))))) 2(5(5(5(4(1(1(4(4(5(0(4(0(3(3(5(x1)))))))))))))))) -> 5(4(2(5(1(2(2(5(1(3(5(0(1(5(0(0(5(x1))))))))))))))))) 5(4(3(3(4(1(0(0(3(2(2(2(5(4(3(4(x1)))))))))))))))) -> 5(4(2(3(2(0(3(4(5(4(4(2(1(1(3(4(x1)))))))))))))))) 2(1(5(2(1(3(3(3(5(5(4(1(2(0(2(5(2(x1))))))))))))))))) -> 3(0(3(2(2(3(2(3(1(2(1(1(3(5(2(1(1(1(x1)))))))))))))))))) 4(0(0(1(2(3(1(0(2(1(5(3(2(1(3(1(0(x1))))))))))))))))) -> 4(1(5(5(4(3(1(4(4(5(3(4(5(0(3(x1))))))))))))))) 1(0(2(1(5(5(5(1(5(3(0(5(2(4(3(4(0(5(2(x1))))))))))))))))))) -> 1(1(3(3(0(1(5(0(0(4(1(2(2(5(1(5(2(3(3(2(x1)))))))))))))))))))) 3(3(2(0(5(2(3(2(2(1(0(3(5(4(2(2(1(3(5(4(x1)))))))))))))))))))) -> 3(2(0(1(2(0(4(5(1(2(2(4(1(0(2(5(2(1(4(x1))))))))))))))))))) 1(4(5(1(1(5(0(1(5(0(2(3(0(4(5(5(4(5(0(5(3(x1))))))))))))))))))))) -> 4(3(3(0(1(5(4(2(1(4(5(3(5(5(3(4(5(5(2(0(x1)))))))))))))))))))) 3(5(4(4(1(0(5(5(2(3(1(0(2(4(5(1(5(0(3(5(0(x1))))))))))))))))))))) -> 3(2(2(4(3(3(2(4(1(4(3(0(0(1(1(1(4(4(5(1(x1)))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: INNERMOST ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. The certificate found is represented by the following graph. "[151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443] {(151,152,[0_1|0, 5_1|0, 2_1|0, 1_1|0, 3_1|0, 4_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, 5_1|1, 2_1|1, 1_1|1, 3_1|1, 4_1|1]), (151,154,[4_1|2]), (151,157,[1_1|2]), (151,163,[2_1|2]), (151,173,[0_1|2]), (151,179,[2_1|2]), (151,188,[5_1|2]), (151,194,[5_1|2]), (151,209,[3_1|2]), (151,217,[3_1|2]), (151,225,[2_1|2]), (151,234,[1_1|2]), (151,244,[3_1|2]), (151,258,[5_1|2]), (151,274,[3_1|2]), (151,291,[1_1|2]), (151,299,[3_1|2]), (151,311,[1_1|2]), (151,330,[4_1|2]), (151,349,[2_1|2]), (151,359,[3_1|2]), (151,377,[3_1|2]), (151,396,[4_1|2]), (151,407,[4_1|2]), (151,421,[4_1|2]), (151,432,[4_1|2]), (152,152,[cons_0_1|0, cons_5_1|0, cons_2_1|0, cons_1_1|0, cons_3_1|0, cons_4_1|0]), (153,152,[encArg_1|1]), (153,153,[0_1|1, 5_1|1, 2_1|1, 1_1|1, 3_1|1, 4_1|1]), (153,154,[4_1|2]), (153,157,[1_1|2]), (153,163,[2_1|2]), (153,173,[0_1|2]), (153,179,[2_1|2]), (153,188,[5_1|2]), (153,194,[5_1|2]), (153,209,[3_1|2]), (153,217,[3_1|2]), (153,225,[2_1|2]), (153,234,[1_1|2]), (153,244,[3_1|2]), (153,258,[5_1|2]), (153,274,[3_1|2]), (153,291,[1_1|2]), (153,299,[3_1|2]), (153,311,[1_1|2]), (153,330,[4_1|2]), (153,349,[2_1|2]), (153,359,[3_1|2]), (153,377,[3_1|2]), (153,396,[4_1|2]), (153,407,[4_1|2]), (153,421,[4_1|2]), (153,432,[4_1|2]), (154,155,[4_1|2]), (155,156,[5_1|2]), (156,153,[2_1|2]), (156,163,[2_1|2]), (156,179,[2_1|2]), (156,225,[2_1|2]), (156,349,[2_1|2]), (156,300,[2_1|2]), (156,360,[2_1|2]), (156,378,[2_1|2]), (156,209,[3_1|2]), (156,217,[3_1|2]), (156,234,[1_1|2]), (156,244,[3_1|2]), (156,258,[5_1|2]), (156,274,[3_1|2]), (157,158,[5_1|2]), (158,159,[3_1|2]), (159,160,[1_1|2]), (160,161,[1_1|2]), (161,162,[5_1|2]), (161,194,[5_1|2]), (162,153,[4_1|2]), (162,154,[4_1|2]), (162,330,[4_1|2]), (162,396,[4_1|2]), (162,407,[4_1|2]), (162,421,[4_1|2]), (162,432,[4_1|2]), (163,164,[4_1|2]), (164,165,[2_1|2]), (165,166,[4_1|2]), (166,167,[5_1|2]), (167,168,[5_1|2]), (168,169,[5_1|2]), (169,170,[0_1|2]), (170,171,[0_1|2]), (171,172,[5_1|2]), (171,194,[5_1|2]), (172,153,[4_1|2]), (172,154,[4_1|2]), (172,330,[4_1|2]), (172,396,[4_1|2]), (172,407,[4_1|2]), (172,421,[4_1|2]), (172,432,[4_1|2]), (172,195,[4_1|2]), (172,259,[4_1|2]), (173,174,[3_1|2]), (174,175,[0_1|2]), (175,176,[1_1|2]), (176,177,[5_1|2]), (176,194,[5_1|2]), (177,178,[4_1|2]), (178,153,[3_1|2]), (178,173,[3_1|2]), (178,361,[3_1|2]), (178,349,[2_1|2]), (178,359,[3_1|2]), (178,377,[3_1|2]), (179,180,[4_1|2]), (180,181,[1_1|2]), (181,182,[1_1|2]), (182,183,[0_1|2]), (183,184,[0_1|2]), (184,185,[5_1|2]), (185,186,[4_1|2]), (186,187,[4_1|2]), (187,153,[3_1|2]), (187,209,[3_1|2]), (187,217,[3_1|2]), (187,244,[3_1|2]), (187,274,[3_1|2]), (187,299,[3_1|2]), (187,359,[3_1|2]), (187,377,[3_1|2]), (187,349,[2_1|2]), (188,189,[2_1|2]), (189,190,[3_1|2]), (190,191,[0_1|2]), (191,192,[0_1|2]), (192,193,[5_1|2]), (193,153,[5_1|2]), (193,188,[5_1|2]), (193,194,[5_1|2]), (193,258,[5_1|2]), (193,158,[5_1|2]), (193,292,[5_1|2]), (194,195,[4_1|2]), (195,196,[2_1|2]), (196,197,[3_1|2]), (197,198,[2_1|2]), (198,199,[0_1|2]), (199,200,[3_1|2]), (200,201,[4_1|2]), (201,202,[5_1|2]), (202,203,[4_1|2]), (203,204,[4_1|2]), (204,205,[2_1|2]), (205,206,[1_1|2]), (206,207,[1_1|2]), (207,208,[3_1|2]), (208,153,[4_1|2]), (208,154,[4_1|2]), (208,330,[4_1|2]), (208,396,[4_1|2]), (208,407,[4_1|2]), (208,421,[4_1|2]), (208,432,[4_1|2]), (209,210,[0_1|2]), (210,211,[0_1|2]), (211,212,[0_1|2]), (212,213,[3_1|2]), (213,214,[3_1|2]), (214,215,[1_1|2]), (215,216,[2_1|2]), (215,234,[1_1|2]), (215,244,[3_1|2]), (215,258,[5_1|2]), (216,153,[5_1|2]), (216,209,[5_1|2]), (216,217,[5_1|2]), (216,244,[5_1|2]), (216,274,[5_1|2]), (216,299,[5_1|2]), (216,359,[5_1|2]), (216,377,[5_1|2]), (216,218,[5_1|2]), (216,332,[5_1|2]), (216,188,[5_1|2]), (216,194,[5_1|2]), (217,218,[3_1|2]), (218,219,[5_1|2]), (219,220,[0_1|2]), (220,221,[3_1|2]), (221,222,[3_1|2]), (222,223,[0_1|2]), (223,224,[4_1|2]), (223,396,[4_1|2]), (223,407,[4_1|2]), (224,153,[0_1|2]), (224,173,[0_1|2]), (224,210,[0_1|2]), (224,275,[0_1|2]), (224,154,[4_1|2]), (224,157,[1_1|2]), (224,163,[2_1|2]), (224,179,[2_1|2]), (224,432,[4_1|2]), (225,226,[3_1|2]), (226,227,[5_1|2]), (227,228,[4_1|2]), (228,229,[0_1|2]), (229,230,[2_1|2]), (230,231,[3_1|2]), (231,232,[4_1|2]), (232,233,[5_1|2]), (233,153,[1_1|2]), (233,188,[1_1|2]), (233,194,[1_1|2]), (233,258,[1_1|2]), (233,291,[1_1|2]), (233,299,[3_1|2]), (233,311,[1_1|2]), (233,330,[4_1|2]), (234,235,[2_1|2]), (235,236,[5_1|2]), (236,237,[0_1|2]), (237,238,[0_1|2]), (238,239,[3_1|2]), (239,240,[3_1|2]), (240,241,[0_1|2]), (241,242,[4_1|2]), (242,243,[1_1|2]), (242,291,[1_1|2]), (243,153,[5_1|2]), (243,188,[5_1|2]), (243,194,[5_1|2]), (243,258,[5_1|2]), (244,245,[1_1|2]), (245,246,[3_1|2]), (246,247,[1_1|2]), (247,248,[2_1|2]), (248,249,[2_1|2]), (249,250,[1_1|2]), (250,251,[3_1|2]), (251,252,[5_1|2]), (252,253,[4_1|2]), (253,254,[3_1|2]), (254,255,[0_1|2]), (255,256,[3_1|2]), (256,257,[1_1|2]), (256,330,[4_1|2]), (257,153,[4_1|2]), (257,154,[4_1|2]), (257,330,[4_1|2]), (257,396,[4_1|2]), (257,407,[4_1|2]), (257,421,[4_1|2]), (257,432,[4_1|2]), (257,195,[4_1|2]), (257,259,[4_1|2]), (258,259,[4_1|2]), (259,260,[2_1|2]), (260,261,[5_1|2]), (261,262,[1_1|2]), (262,263,[2_1|2]), (263,264,[2_1|2]), (264,265,[5_1|2]), (265,266,[1_1|2]), (266,267,[3_1|2]), (267,268,[5_1|2]), (268,269,[0_1|2]), (269,270,[1_1|2]), (270,271,[5_1|2]), (271,272,[0_1|2]), (272,273,[0_1|2]), (273,153,[5_1|2]), (273,188,[5_1|2]), (273,194,[5_1|2]), (273,258,[5_1|2]), (273,219,[5_1|2]), (274,275,[0_1|2]), (275,276,[3_1|2]), (276,277,[2_1|2]), (277,278,[2_1|2]), (278,279,[3_1|2]), (279,280,[2_1|2]), (280,281,[3_1|2]), (281,282,[1_1|2]), (282,283,[2_1|2]), (283,284,[1_1|2]), (284,285,[1_1|2]), (285,286,[3_1|2]), (286,287,[5_1|2]), (287,288,[2_1|2]), (288,289,[1_1|2]), (289,290,[1_1|2]), (289,299,[3_1|2]), (290,153,[1_1|2]), (290,163,[1_1|2]), (290,179,[1_1|2]), (290,225,[1_1|2]), (290,349,[1_1|2]), (290,189,[1_1|2]), (290,291,[1_1|2]), (290,299,[3_1|2]), (290,311,[1_1|2]), (290,330,[4_1|2]), (291,292,[5_1|2]), (292,293,[5_1|2]), (293,294,[1_1|2]), (294,295,[0_1|2]), (295,296,[1_1|2]), (296,297,[3_1|2]), (297,298,[4_1|2]), (298,153,[5_1|2]), (298,188,[5_1|2]), (298,194,[5_1|2]), (298,258,[5_1|2]), (298,219,[5_1|2]), (299,300,[2_1|2]), (300,301,[3_1|2]), (301,302,[5_1|2]), (302,303,[5_1|2]), (303,304,[5_1|2]), (304,305,[4_1|2]), (305,306,[3_1|2]), (306,307,[0_1|2]), (307,308,[0_1|2]), (308,309,[2_1|2]), (309,310,[3_1|2]), (309,349,[2_1|2]), (310,153,[0_1|2]), (310,157,[0_1|2, 1_1|2]), (310,234,[0_1|2]), (310,291,[0_1|2]), (310,311,[0_1|2]), (310,312,[0_1|2]), (310,154,[4_1|2]), (310,163,[2_1|2]), (310,173,[0_1|2]), (310,179,[2_1|2]), (310,432,[4_1|2]), (311,312,[1_1|2]), (312,313,[3_1|2]), (313,314,[3_1|2]), (314,315,[0_1|2]), (315,316,[1_1|2]), (316,317,[5_1|2]), (317,318,[0_1|2]), (318,319,[0_1|2]), (319,320,[4_1|2]), (320,321,[1_1|2]), (321,322,[2_1|2]), (322,323,[2_1|2]), (323,324,[5_1|2]), (324,325,[1_1|2]), (325,326,[5_1|2]), (326,327,[2_1|2]), (327,328,[3_1|2]), (327,359,[3_1|2]), (328,329,[3_1|2]), (329,153,[2_1|2]), (329,163,[2_1|2]), (329,179,[2_1|2]), (329,225,[2_1|2]), (329,349,[2_1|2]), (329,189,[2_1|2]), (329,209,[3_1|2]), (329,217,[3_1|2]), (329,234,[1_1|2]), (329,244,[3_1|2]), (329,258,[5_1|2]), (329,274,[3_1|2]), (330,331,[3_1|2]), (331,332,[3_1|2]), (332,333,[0_1|2]), (333,334,[1_1|2]), (334,335,[5_1|2]), (335,336,[4_1|2]), (336,337,[2_1|2]), (337,338,[1_1|2]), (338,339,[4_1|2]), (339,340,[5_1|2]), (340,341,[3_1|2]), (341,342,[5_1|2]), (342,343,[5_1|2]), (343,344,[3_1|2]), (344,345,[4_1|2]), (345,346,[5_1|2]), (346,347,[5_1|2]), (347,348,[2_1|2]), (347,217,[3_1|2]), (347,225,[2_1|2]), (348,153,[0_1|2]), (348,209,[0_1|2]), (348,217,[0_1|2]), (348,244,[0_1|2]), (348,274,[0_1|2]), (348,299,[0_1|2]), (348,359,[0_1|2]), (348,377,[0_1|2]), (348,154,[4_1|2]), (348,157,[1_1|2]), (348,163,[2_1|2]), (348,173,[0_1|2]), (348,179,[2_1|2]), (348,432,[4_1|2]), (349,350,[3_1|2]), (350,351,[3_1|2]), (351,352,[1_1|2]), (352,353,[5_1|2]), (353,354,[4_1|2]), (354,355,[3_1|2]), (355,356,[5_1|2]), (356,357,[3_1|2]), (357,358,[0_1|2]), (357,179,[2_1|2]), (358,153,[4_1|2]), (358,154,[4_1|2]), (358,330,[4_1|2]), (358,396,[4_1|2]), (358,407,[4_1|2]), (358,421,[4_1|2]), (358,432,[4_1|2]), (359,360,[2_1|2]), (360,361,[0_1|2]), (361,362,[1_1|2]), (362,363,[2_1|2]), (363,364,[0_1|2]), (364,365,[4_1|2]), (365,366,[5_1|2]), (366,367,[1_1|2]), (367,368,[2_1|2]), (368,369,[2_1|2]), (369,370,[4_1|2]), (370,371,[1_1|2]), (371,372,[0_1|2]), (372,373,[2_1|2]), (373,374,[5_1|2]), (374,375,[2_1|2]), (375,376,[1_1|2]), (375,330,[4_1|2]), (376,153,[4_1|2]), (376,154,[4_1|2]), (376,330,[4_1|2]), (376,396,[4_1|2]), (376,407,[4_1|2]), (376,421,[4_1|2]), (376,432,[4_1|2]), (376,195,[4_1|2]), (376,259,[4_1|2]), (377,378,[2_1|2]), (378,379,[2_1|2]), (379,380,[4_1|2]), (380,381,[3_1|2]), (381,382,[3_1|2]), (382,383,[2_1|2]), (383,384,[4_1|2]), (384,385,[1_1|2]), (385,386,[4_1|2]), (386,387,[3_1|2]), (387,388,[0_1|2]), (388,389,[0_1|2]), (389,390,[1_1|2]), (390,391,[1_1|2]), (391,392,[1_1|2]), (392,393,[4_1|2]), (393,394,[4_1|2]), (394,395,[5_1|2]), (395,153,[1_1|2]), (395,173,[1_1|2]), (395,291,[1_1|2]), (395,299,[3_1|2]), (395,311,[1_1|2]), (395,330,[4_1|2]), (396,397,[0_1|2]), (397,398,[5_1|2]), (398,399,[0_1|2]), (399,400,[5_1|2]), (400,401,[3_1|2]), (401,402,[4_1|2]), (402,403,[2_1|2]), (403,404,[4_1|2]), (404,405,[2_1|2]), (405,406,[2_1|2]), (405,217,[3_1|2]), (405,225,[2_1|2]), (406,153,[0_1|2]), (406,157,[0_1|2, 1_1|2]), (406,234,[0_1|2]), (406,291,[0_1|2]), (406,311,[0_1|2]), (406,408,[0_1|2]), (406,154,[4_1|2]), (406,163,[2_1|2]), (406,173,[0_1|2]), (406,179,[2_1|2]), (406,432,[4_1|2]), (407,408,[1_1|2]), (408,409,[5_1|2]), (409,410,[5_1|2]), (410,411,[4_1|2]), (411,412,[3_1|2]), (412,413,[1_1|2]), (413,414,[4_1|2]), (414,415,[4_1|2]), (415,416,[5_1|2]), (416,417,[3_1|2]), (417,418,[4_1|2]), (418,419,[5_1|2]), (418,188,[5_1|2]), (419,420,[0_1|2]), (420,153,[3_1|2]), (420,173,[3_1|2]), (420,349,[2_1|2]), (420,359,[3_1|2]), (420,377,[3_1|2]), (421,422,[0_1|2]), (422,423,[4_1|2]), (423,424,[1_1|2]), (424,425,[5_1|2]), (425,426,[1_1|2]), (426,427,[3_1|2]), (427,428,[1_1|2]), (428,429,[2_1|2]), (429,430,[2_1|2]), (430,431,[1_1|2]), (431,153,[2_1|2]), (431,163,[2_1|2]), (431,179,[2_1|2]), (431,225,[2_1|2]), (431,349,[2_1|2]), (431,209,[3_1|2]), (431,217,[3_1|2]), (431,234,[1_1|2]), (431,244,[3_1|2]), (431,258,[5_1|2]), (431,274,[3_1|2]), (432,433,[2_1|2]), (433,434,[1_1|2]), (434,435,[3_1|2]), (435,436,[3_1|2]), (436,437,[1_1|2]), (437,438,[2_1|2]), (438,439,[4_1|2]), (439,440,[2_1|2]), (440,441,[5_1|2]), (440,188,[5_1|2]), (441,442,[0_1|2]), (442,443,[3_1|2]), (443,153,[4_1|2]), (443,154,[4_1|2]), (443,330,[4_1|2]), (443,396,[4_1|2]), (443,407,[4_1|2]), (443,421,[4_1|2]), (443,432,[4_1|2]), (443,164,[4_1|2]), (443,180,[4_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)