/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 49 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 84 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(0(1(2(1(x1))))) -> 0(2(3(4(x1)))) 1(4(5(3(2(x1))))) -> 1(5(0(5(x1)))) 3(0(2(3(0(x1))))) -> 5(0(2(1(1(x1))))) 0(1(5(2(3(2(x1)))))) -> 0(5(3(1(3(2(x1)))))) 1(3(0(4(1(4(x1)))))) -> 1(2(0(1(2(x1))))) 3(5(4(4(1(1(x1)))))) -> 0(2(3(0(4(x1))))) 4(5(5(4(5(5(x1)))))) -> 4(3(1(5(1(5(x1)))))) 1(3(2(5(2(3(1(x1))))))) -> 1(0(5(1(3(4(x1)))))) 3(2(1(2(5(4(3(1(x1)))))))) -> 2(5(0(4(4(3(5(x1))))))) 2(4(2(3(0(3(4(5(2(x1))))))))) -> 2(4(0(0(0(0(0(5(2(x1))))))))) 3(4(2(4(0(2(1(0(2(x1))))))))) -> 3(1(0(5(0(5(0(1(x1)))))))) 2(4(2(0(3(4(0(3(3(1(x1)))))))))) -> 3(5(2(0(5(3(3(2(2(x1))))))))) 0(0(4(2(0(3(4(5(2(0(0(0(0(0(x1)))))))))))))) -> 2(4(1(2(4(4(3(2(5(2(3(5(5(0(x1)))))))))))))) 3(2(3(2(2(0(4(5(0(3(5(3(4(4(5(x1))))))))))))))) -> 5(2(3(5(2(1(4(4(1(5(5(3(0(1(4(2(x1)))))))))))))))) 2(4(0(1(1(5(0(2(0(5(2(3(5(4(0(2(x1)))))))))))))))) -> 5(0(2(0(2(0(2(5(4(0(0(5(5(2(0(x1))))))))))))))) 3(0(4(5(3(5(0(3(5(2(3(1(5(4(2(1(x1)))))))))))))))) -> 2(5(3(3(2(3(0(2(5(4(0(2(4(5(2(1(x1)))))))))))))))) 3(5(3(2(4(3(3(1(0(0(5(4(0(2(1(1(x1)))))))))))))))) -> 3(5(3(3(3(2(5(4(1(5(5(1(3(5(1(x1))))))))))))))) 3(1(5(3(2(4(2(2(4(3(4(2(3(4(5(1(4(4(5(x1))))))))))))))))))) -> 3(4(3(2(2(4(1(2(1(3(3(0(0(3(3(4(2(4(x1)))))))))))))))))) 4(5(3(3(0(5(2(0(3(5(0(3(3(2(3(1(3(3(4(x1))))))))))))))))))) -> 4(0(4(1(5(1(4(2(4(2(5(4(1(2(5(2(1(2(5(2(2(x1))))))))))))))))))))) 0(3(5(0(0(0(4(1(2(1(3(5(5(5(0(3(5(0(3(4(x1)))))))))))))))))))) -> 0(3(5(3(3(2(4(5(5(4(0(2(3(0(2(5(2(4(3(4(x1)))))))))))))))))))) 0(4(2(4(3(5(4(2(5(1(4(3(2(5(3(5(4(2(3(0(x1)))))))))))))))))))) -> 5(2(3(3(4(1(5(3(2(2(3(5(1(1(1(2(1(2(2(1(x1)))))))))))))))))))) 2(2(2(3(5(5(2(1(4(1(2(2(1(5(2(1(1(0(2(2(x1)))))))))))))))))))) -> 2(3(2(3(2(5(4(2(0(3(2(0(2(4(5(2(4(4(x1)))))))))))))))))) 3(3(2(0(2(2(5(3(2(3(3(1(3(5(5(1(3(0(2(1(x1)))))))))))))))))))) -> 3(0(5(1(1(3(2(1(2(5(5(4(3(4(3(0(5(5(3(4(x1)))))))))))))))))))) 0(4(5(4(0(3(1(4(4(0(3(4(2(5(4(1(0(0(5(1(2(x1))))))))))))))))))))) -> 3(5(4(4(4(5(5(0(2(4(4(1(5(2(1(2(5(2(5(2(2(x1))))))))))))))))))))) 4(4(1(5(4(1(1(2(1(5(1(1(4(4(2(2(4(2(4(5(3(x1))))))))))))))))))))) -> 0(3(2(3(2(0(3(2(1(1(4(5(2(2(0(1(1(2(3(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(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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)) 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 (innermost) 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(1(x1))))) -> 0(2(3(4(x1)))) 1(4(5(3(2(x1))))) -> 1(5(0(5(x1)))) 3(0(2(3(0(x1))))) -> 5(0(2(1(1(x1))))) 0(1(5(2(3(2(x1)))))) -> 0(5(3(1(3(2(x1)))))) 1(3(0(4(1(4(x1)))))) -> 1(2(0(1(2(x1))))) 3(5(4(4(1(1(x1)))))) -> 0(2(3(0(4(x1))))) 4(5(5(4(5(5(x1)))))) -> 4(3(1(5(1(5(x1)))))) 1(3(2(5(2(3(1(x1))))))) -> 1(0(5(1(3(4(x1)))))) 3(2(1(2(5(4(3(1(x1)))))))) -> 2(5(0(4(4(3(5(x1))))))) 2(4(2(3(0(3(4(5(2(x1))))))))) -> 2(4(0(0(0(0(0(5(2(x1))))))))) 3(4(2(4(0(2(1(0(2(x1))))))))) -> 3(1(0(5(0(5(0(1(x1)))))))) 2(4(2(0(3(4(0(3(3(1(x1)))))))))) -> 3(5(2(0(5(3(3(2(2(x1))))))))) 0(0(4(2(0(3(4(5(2(0(0(0(0(0(x1)))))))))))))) -> 2(4(1(2(4(4(3(2(5(2(3(5(5(0(x1)))))))))))))) 3(2(3(2(2(0(4(5(0(3(5(3(4(4(5(x1))))))))))))))) -> 5(2(3(5(2(1(4(4(1(5(5(3(0(1(4(2(x1)))))))))))))))) 2(4(0(1(1(5(0(2(0(5(2(3(5(4(0(2(x1)))))))))))))))) -> 5(0(2(0(2(0(2(5(4(0(0(5(5(2(0(x1))))))))))))))) 3(0(4(5(3(5(0(3(5(2(3(1(5(4(2(1(x1)))))))))))))))) -> 2(5(3(3(2(3(0(2(5(4(0(2(4(5(2(1(x1)))))))))))))))) 3(5(3(2(4(3(3(1(0(0(5(4(0(2(1(1(x1)))))))))))))))) -> 3(5(3(3(3(2(5(4(1(5(5(1(3(5(1(x1))))))))))))))) 3(1(5(3(2(4(2(2(4(3(4(2(3(4(5(1(4(4(5(x1))))))))))))))))))) -> 3(4(3(2(2(4(1(2(1(3(3(0(0(3(3(4(2(4(x1)))))))))))))))))) 4(5(3(3(0(5(2(0(3(5(0(3(3(2(3(1(3(3(4(x1))))))))))))))))))) -> 4(0(4(1(5(1(4(2(4(2(5(4(1(2(5(2(1(2(5(2(2(x1))))))))))))))))))))) 0(3(5(0(0(0(4(1(2(1(3(5(5(5(0(3(5(0(3(4(x1)))))))))))))))))))) -> 0(3(5(3(3(2(4(5(5(4(0(2(3(0(2(5(2(4(3(4(x1)))))))))))))))))))) 0(4(2(4(3(5(4(2(5(1(4(3(2(5(3(5(4(2(3(0(x1)))))))))))))))))))) -> 5(2(3(3(4(1(5(3(2(2(3(5(1(1(1(2(1(2(2(1(x1)))))))))))))))))))) 2(2(2(3(5(5(2(1(4(1(2(2(1(5(2(1(1(0(2(2(x1)))))))))))))))))))) -> 2(3(2(3(2(5(4(2(0(3(2(0(2(4(5(2(4(4(x1)))))))))))))))))) 3(3(2(0(2(2(5(3(2(3(3(1(3(5(5(1(3(0(2(1(x1)))))))))))))))))))) -> 3(0(5(1(1(3(2(1(2(5(5(4(3(4(3(0(5(5(3(4(x1)))))))))))))))))))) 0(4(5(4(0(3(1(4(4(0(3(4(2(5(4(1(0(0(5(1(2(x1))))))))))))))))))))) -> 3(5(4(4(4(5(5(0(2(4(4(1(5(2(1(2(5(2(5(2(2(x1))))))))))))))))))))) 4(4(1(5(4(1(1(2(1(5(1(1(4(4(2(2(4(2(4(5(3(x1))))))))))))))))))))) -> 0(3(2(3(2(0(3(2(1(1(4(5(2(2(0(1(1(2(3(x1))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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)) 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: 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(0(1(2(1(x1))))) -> 0(2(3(4(x1)))) 1(4(5(3(2(x1))))) -> 1(5(0(5(x1)))) 3(0(2(3(0(x1))))) -> 5(0(2(1(1(x1))))) 0(1(5(2(3(2(x1)))))) -> 0(5(3(1(3(2(x1)))))) 1(3(0(4(1(4(x1)))))) -> 1(2(0(1(2(x1))))) 3(5(4(4(1(1(x1)))))) -> 0(2(3(0(4(x1))))) 4(5(5(4(5(5(x1)))))) -> 4(3(1(5(1(5(x1)))))) 1(3(2(5(2(3(1(x1))))))) -> 1(0(5(1(3(4(x1)))))) 3(2(1(2(5(4(3(1(x1)))))))) -> 2(5(0(4(4(3(5(x1))))))) 2(4(2(3(0(3(4(5(2(x1))))))))) -> 2(4(0(0(0(0(0(5(2(x1))))))))) 3(4(2(4(0(2(1(0(2(x1))))))))) -> 3(1(0(5(0(5(0(1(x1)))))))) 2(4(2(0(3(4(0(3(3(1(x1)))))))))) -> 3(5(2(0(5(3(3(2(2(x1))))))))) 0(0(4(2(0(3(4(5(2(0(0(0(0(0(x1)))))))))))))) -> 2(4(1(2(4(4(3(2(5(2(3(5(5(0(x1)))))))))))))) 3(2(3(2(2(0(4(5(0(3(5(3(4(4(5(x1))))))))))))))) -> 5(2(3(5(2(1(4(4(1(5(5(3(0(1(4(2(x1)))))))))))))))) 2(4(0(1(1(5(0(2(0(5(2(3(5(4(0(2(x1)))))))))))))))) -> 5(0(2(0(2(0(2(5(4(0(0(5(5(2(0(x1))))))))))))))) 3(0(4(5(3(5(0(3(5(2(3(1(5(4(2(1(x1)))))))))))))))) -> 2(5(3(3(2(3(0(2(5(4(0(2(4(5(2(1(x1)))))))))))))))) 3(5(3(2(4(3(3(1(0(0(5(4(0(2(1(1(x1)))))))))))))))) -> 3(5(3(3(3(2(5(4(1(5(5(1(3(5(1(x1))))))))))))))) 3(1(5(3(2(4(2(2(4(3(4(2(3(4(5(1(4(4(5(x1))))))))))))))))))) -> 3(4(3(2(2(4(1(2(1(3(3(0(0(3(3(4(2(4(x1)))))))))))))))))) 4(5(3(3(0(5(2(0(3(5(0(3(3(2(3(1(3(3(4(x1))))))))))))))))))) -> 4(0(4(1(5(1(4(2(4(2(5(4(1(2(5(2(1(2(5(2(2(x1))))))))))))))))))))) 0(3(5(0(0(0(4(1(2(1(3(5(5(5(0(3(5(0(3(4(x1)))))))))))))))))))) -> 0(3(5(3(3(2(4(5(5(4(0(2(3(0(2(5(2(4(3(4(x1)))))))))))))))))))) 0(4(2(4(3(5(4(2(5(1(4(3(2(5(3(5(4(2(3(0(x1)))))))))))))))))))) -> 5(2(3(3(4(1(5(3(2(2(3(5(1(1(1(2(1(2(2(1(x1)))))))))))))))))))) 2(2(2(3(5(5(2(1(4(1(2(2(1(5(2(1(1(0(2(2(x1)))))))))))))))))))) -> 2(3(2(3(2(5(4(2(0(3(2(0(2(4(5(2(4(4(x1)))))))))))))))))) 3(3(2(0(2(2(5(3(2(3(3(1(3(5(5(1(3(0(2(1(x1)))))))))))))))))))) -> 3(0(5(1(1(3(2(1(2(5(5(4(3(4(3(0(5(5(3(4(x1)))))))))))))))))))) 0(4(5(4(0(3(1(4(4(0(3(4(2(5(4(1(0(0(5(1(2(x1))))))))))))))))))))) -> 3(5(4(4(4(5(5(0(2(4(4(1(5(2(1(2(5(2(5(2(2(x1))))))))))))))))))))) 4(4(1(5(4(1(1(2(1(5(1(1(4(4(2(2(4(2(4(5(3(x1))))))))))))))))))))) -> 0(3(2(3(2(0(3(2(1(1(4(5(2(2(0(1(1(2(3(x1))))))))))))))))))) The (relative) TRS S consists of the following rules: encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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)) 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: 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(0(1(2(1(x1))))) -> 0(2(3(4(x1)))) 1(4(5(3(2(x1))))) -> 1(5(0(5(x1)))) 3(0(2(3(0(x1))))) -> 5(0(2(1(1(x1))))) 0(1(5(2(3(2(x1)))))) -> 0(5(3(1(3(2(x1)))))) 1(3(0(4(1(4(x1)))))) -> 1(2(0(1(2(x1))))) 3(5(4(4(1(1(x1)))))) -> 0(2(3(0(4(x1))))) 4(5(5(4(5(5(x1)))))) -> 4(3(1(5(1(5(x1)))))) 1(3(2(5(2(3(1(x1))))))) -> 1(0(5(1(3(4(x1)))))) 3(2(1(2(5(4(3(1(x1)))))))) -> 2(5(0(4(4(3(5(x1))))))) 2(4(2(3(0(3(4(5(2(x1))))))))) -> 2(4(0(0(0(0(0(5(2(x1))))))))) 3(4(2(4(0(2(1(0(2(x1))))))))) -> 3(1(0(5(0(5(0(1(x1)))))))) 2(4(2(0(3(4(0(3(3(1(x1)))))))))) -> 3(5(2(0(5(3(3(2(2(x1))))))))) 0(0(4(2(0(3(4(5(2(0(0(0(0(0(x1)))))))))))))) -> 2(4(1(2(4(4(3(2(5(2(3(5(5(0(x1)))))))))))))) 3(2(3(2(2(0(4(5(0(3(5(3(4(4(5(x1))))))))))))))) -> 5(2(3(5(2(1(4(4(1(5(5(3(0(1(4(2(x1)))))))))))))))) 2(4(0(1(1(5(0(2(0(5(2(3(5(4(0(2(x1)))))))))))))))) -> 5(0(2(0(2(0(2(5(4(0(0(5(5(2(0(x1))))))))))))))) 3(0(4(5(3(5(0(3(5(2(3(1(5(4(2(1(x1)))))))))))))))) -> 2(5(3(3(2(3(0(2(5(4(0(2(4(5(2(1(x1)))))))))))))))) 3(5(3(2(4(3(3(1(0(0(5(4(0(2(1(1(x1)))))))))))))))) -> 3(5(3(3(3(2(5(4(1(5(5(1(3(5(1(x1))))))))))))))) 3(1(5(3(2(4(2(2(4(3(4(2(3(4(5(1(4(4(5(x1))))))))))))))))))) -> 3(4(3(2(2(4(1(2(1(3(3(0(0(3(3(4(2(4(x1)))))))))))))))))) 4(5(3(3(0(5(2(0(3(5(0(3(3(2(3(1(3(3(4(x1))))))))))))))))))) -> 4(0(4(1(5(1(4(2(4(2(5(4(1(2(5(2(1(2(5(2(2(x1))))))))))))))))))))) 0(3(5(0(0(0(4(1(2(1(3(5(5(5(0(3(5(0(3(4(x1)))))))))))))))))))) -> 0(3(5(3(3(2(4(5(5(4(0(2(3(0(2(5(2(4(3(4(x1)))))))))))))))))))) 0(4(2(4(3(5(4(2(5(1(4(3(2(5(3(5(4(2(3(0(x1)))))))))))))))))))) -> 5(2(3(3(4(1(5(3(2(2(3(5(1(1(1(2(1(2(2(1(x1)))))))))))))))))))) 2(2(2(3(5(5(2(1(4(1(2(2(1(5(2(1(1(0(2(2(x1)))))))))))))))))))) -> 2(3(2(3(2(5(4(2(0(3(2(0(2(4(5(2(4(4(x1)))))))))))))))))) 3(3(2(0(2(2(5(3(2(3(3(1(3(5(5(1(3(0(2(1(x1)))))))))))))))))))) -> 3(0(5(1(1(3(2(1(2(5(5(4(3(4(3(0(5(5(3(4(x1)))))))))))))))))))) 0(4(5(4(0(3(1(4(4(0(3(4(2(5(4(1(0(0(5(1(2(x1))))))))))))))))))))) -> 3(5(4(4(4(5(5(0(2(4(4(1(5(2(1(2(5(2(5(2(2(x1))))))))))))))))))))) 4(4(1(5(4(1(1(2(1(5(1(1(4(4(2(2(4(2(4(5(3(x1))))))))))))))))))))) -> 0(3(2(3(2(0(3(2(1(1(4(5(2(2(0(1(1(2(3(x1))))))))))))))))))) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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)) 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: 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 3. The certificate found is represented by the following graph. "[125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 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] {(125,126,[0_1|0, 1_1|0, 3_1|0, 4_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]), (125,127,[5_1|1, 0_1|1, 1_1|1, 3_1|1, 4_1|1, 2_1|1]), (125,128,[0_1|2]), (125,131,[2_1|2]), (125,144,[0_1|2]), (125,149,[0_1|2]), (125,168,[5_1|2]), (125,187,[3_1|2]), (125,207,[1_1|2]), (125,210,[1_1|2]), (125,214,[1_1|2]), (125,219,[5_1|2]), (125,223,[2_1|2]), (125,238,[0_1|2]), (125,242,[3_1|2]), (125,256,[2_1|2]), (125,262,[5_1|2]), (125,277,[3_1|2]), (125,284,[3_1|2]), (125,301,[3_1|2]), (125,320,[4_1|2]), (125,325,[4_1|2]), (125,345,[0_1|2]), (125,363,[2_1|2]), (125,371,[3_1|2]), (125,379,[5_1|2]), (125,393,[2_1|2]), (126,126,[5_1|0, cons_0_1|0, cons_1_1|0, cons_3_1|0, cons_4_1|0, cons_2_1|0]), (127,126,[encArg_1|1]), (127,127,[5_1|1, 0_1|1, 1_1|1, 3_1|1, 4_1|1, 2_1|1]), (127,128,[0_1|2]), (127,131,[2_1|2]), (127,144,[0_1|2]), (127,149,[0_1|2]), (127,168,[5_1|2]), (127,187,[3_1|2]), (127,207,[1_1|2]), (127,210,[1_1|2]), (127,214,[1_1|2]), (127,219,[5_1|2]), (127,223,[2_1|2]), (127,238,[0_1|2]), (127,242,[3_1|2]), (127,256,[2_1|2]), (127,262,[5_1|2]), (127,277,[3_1|2]), (127,284,[3_1|2]), (127,301,[3_1|2]), (127,320,[4_1|2]), (127,325,[4_1|2]), (127,345,[0_1|2]), (127,363,[2_1|2]), (127,371,[3_1|2]), (127,379,[5_1|2]), (127,393,[2_1|2]), (128,129,[2_1|2]), (129,130,[3_1|2]), (129,277,[3_1|2]), (130,127,[4_1|2]), (130,207,[4_1|2]), (130,210,[4_1|2]), (130,214,[4_1|2]), (130,320,[4_1|2]), (130,325,[4_1|2]), (130,345,[0_1|2]), (131,132,[4_1|2]), (132,133,[1_1|2]), (133,134,[2_1|2]), (134,135,[4_1|2]), (135,136,[4_1|2]), (136,137,[3_1|2]), (137,138,[2_1|2]), (138,139,[5_1|2]), (139,140,[2_1|2]), (140,141,[3_1|2]), (141,142,[5_1|2]), (142,143,[5_1|2]), (143,127,[0_1|2]), (143,128,[0_1|2]), (143,144,[0_1|2]), (143,149,[0_1|2]), (143,238,[0_1|2]), (143,345,[0_1|2]), (143,131,[2_1|2]), (143,168,[5_1|2]), (143,187,[3_1|2]), (144,145,[5_1|2]), (145,146,[3_1|2]), (146,147,[1_1|2]), (146,214,[1_1|2]), (147,148,[3_1|2]), (147,256,[2_1|2]), (147,262,[5_1|2]), (148,127,[2_1|2]), (148,131,[2_1|2]), (148,223,[2_1|2]), (148,256,[2_1|2]), (148,363,[2_1|2]), (148,393,[2_1|2]), (148,395,[2_1|2]), (148,371,[3_1|2]), (148,379,[5_1|2]), (149,150,[3_1|2]), (150,151,[5_1|2]), (151,152,[3_1|2]), (152,153,[3_1|2]), (153,154,[2_1|2]), (154,155,[4_1|2]), (155,156,[5_1|2]), (156,157,[5_1|2]), (157,158,[4_1|2]), (158,159,[0_1|2]), (159,160,[2_1|2]), (160,161,[3_1|2]), (161,162,[0_1|2]), (162,163,[2_1|2]), (163,164,[5_1|2]), (164,165,[2_1|2]), (165,166,[4_1|2]), (166,167,[3_1|2]), (166,277,[3_1|2]), (167,127,[4_1|2]), (167,320,[4_1|2]), (167,325,[4_1|2]), (167,285,[4_1|2]), (167,345,[0_1|2]), (168,169,[2_1|2]), (169,170,[3_1|2]), (170,171,[3_1|2]), (171,172,[4_1|2]), (172,173,[1_1|2]), (173,174,[5_1|2]), (174,175,[3_1|2]), (175,176,[2_1|2]), (176,177,[2_1|2]), (177,178,[3_1|2]), (178,179,[5_1|2]), (179,180,[1_1|2]), (180,181,[1_1|2]), (181,182,[1_1|2]), (182,183,[2_1|2]), (183,184,[1_1|2]), (184,185,[2_1|2]), (185,186,[2_1|2]), (186,127,[1_1|2]), (186,128,[1_1|2]), (186,144,[1_1|2]), (186,149,[1_1|2]), (186,238,[1_1|2]), (186,345,[1_1|2]), (186,302,[1_1|2]), (186,207,[1_1|2]), (186,210,[1_1|2]), (186,214,[1_1|2]), (187,188,[5_1|2]), (188,189,[4_1|2]), (189,190,[4_1|2]), (190,191,[4_1|2]), (191,192,[5_1|2]), (192,193,[5_1|2]), (193,194,[0_1|2]), (194,195,[2_1|2]), (195,196,[4_1|2]), (196,197,[4_1|2]), (197,198,[1_1|2]), (198,199,[5_1|2]), (199,200,[2_1|2]), (200,201,[1_1|2]), (201,202,[2_1|2]), (202,203,[5_1|2]), (203,204,[2_1|2]), (204,205,[5_1|2]), (205,206,[2_1|2]), (205,393,[2_1|2]), (206,127,[2_1|2]), (206,131,[2_1|2]), (206,223,[2_1|2]), (206,256,[2_1|2]), (206,363,[2_1|2]), (206,393,[2_1|2]), (206,211,[2_1|2]), (206,371,[3_1|2]), (206,379,[5_1|2]), (207,208,[5_1|2]), (208,209,[0_1|2]), (209,127,[5_1|2]), (209,131,[5_1|2]), (209,223,[5_1|2]), (209,256,[5_1|2]), (209,363,[5_1|2]), (209,393,[5_1|2]), (210,211,[2_1|2]), (211,212,[0_1|2]), (212,213,[1_1|2]), (213,127,[2_1|2]), (213,320,[2_1|2]), (213,325,[2_1|2]), (213,363,[2_1|2]), (213,371,[3_1|2]), (213,379,[5_1|2]), (213,393,[2_1|2]), (214,215,[0_1|2]), (215,216,[5_1|2]), (216,217,[1_1|2]), (217,218,[3_1|2]), (217,277,[3_1|2]), (218,127,[4_1|2]), (218,207,[4_1|2]), (218,210,[4_1|2]), (218,214,[4_1|2]), (218,278,[4_1|2]), (218,320,[4_1|2]), (218,325,[4_1|2]), (218,345,[0_1|2]), (219,220,[0_1|2]), (220,221,[2_1|2]), (221,222,[1_1|2]), (222,127,[1_1|2]), (222,128,[1_1|2]), (222,144,[1_1|2]), (222,149,[1_1|2]), (222,238,[1_1|2]), (222,345,[1_1|2]), (222,302,[1_1|2]), (222,241,[1_1|2]), (222,207,[1_1|2]), (222,210,[1_1|2]), (222,214,[1_1|2]), (223,224,[5_1|2]), (224,225,[3_1|2]), (225,226,[3_1|2]), (226,227,[2_1|2]), (227,228,[3_1|2]), (228,229,[0_1|2]), (229,230,[2_1|2]), (230,231,[5_1|2]), (231,232,[4_1|2]), (232,233,[0_1|2]), (233,234,[2_1|2]), (234,235,[4_1|2]), (235,236,[5_1|2]), (236,237,[2_1|2]), (237,127,[1_1|2]), (237,207,[1_1|2]), (237,210,[1_1|2]), (237,214,[1_1|2]), (238,239,[2_1|2]), (239,240,[3_1|2]), (239,223,[2_1|2]), (240,241,[0_1|2]), (240,168,[5_1|2]), (240,187,[3_1|2]), (241,127,[4_1|2]), (241,207,[4_1|2]), (241,210,[4_1|2]), (241,214,[4_1|2]), (241,320,[4_1|2]), (241,325,[4_1|2]), (241,345,[0_1|2]), (242,243,[5_1|2]), (243,244,[3_1|2]), (244,245,[3_1|2]), (245,246,[3_1|2]), (246,247,[2_1|2]), (247,248,[5_1|2]), (248,249,[4_1|2]), (249,250,[1_1|2]), (250,251,[5_1|2]), (251,252,[5_1|2]), (252,253,[1_1|2]), (253,254,[3_1|2]), (254,255,[5_1|2]), (255,127,[1_1|2]), (255,207,[1_1|2]), (255,210,[1_1|2]), (255,214,[1_1|2]), (256,257,[5_1|2]), (257,258,[0_1|2]), (258,259,[4_1|2]), (259,260,[4_1|2]), (260,261,[3_1|2]), (260,238,[0_1|2]), (260,242,[3_1|2]), (261,127,[5_1|2]), (261,207,[5_1|2]), (261,210,[5_1|2]), (261,214,[5_1|2]), (261,278,[5_1|2]), (261,322,[5_1|2]), (262,263,[2_1|2]), (263,264,[3_1|2]), (264,265,[5_1|2]), (265,266,[2_1|2]), (266,267,[1_1|2]), (267,268,[4_1|2]), (268,269,[4_1|2]), (269,270,[1_1|2]), (270,271,[5_1|2]), (271,272,[5_1|2]), (272,273,[3_1|2]), (273,274,[0_1|2]), (274,275,[1_1|2]), (275,276,[4_1|2]), (276,127,[2_1|2]), (276,168,[2_1|2]), (276,219,[2_1|2]), (276,262,[2_1|2]), (276,379,[2_1|2, 5_1|2]), (276,363,[2_1|2]), (276,371,[3_1|2]), (276,393,[2_1|2]), (277,278,[1_1|2]), (278,279,[0_1|2]), (279,280,[5_1|2]), (280,281,[0_1|2]), (281,282,[5_1|2]), (282,283,[0_1|2]), (282,144,[0_1|2]), (283,127,[1_1|2]), (283,131,[1_1|2]), (283,223,[1_1|2]), (283,256,[1_1|2]), (283,363,[1_1|2]), (283,393,[1_1|2]), (283,129,[1_1|2]), (283,239,[1_1|2]), (283,207,[1_1|2]), (283,210,[1_1|2]), (283,214,[1_1|2]), (284,285,[4_1|2]), (285,286,[3_1|2]), (286,287,[2_1|2]), (287,288,[2_1|2]), (288,289,[4_1|2]), (289,290,[1_1|2]), (290,291,[2_1|2]), (291,292,[1_1|2]), (292,293,[3_1|2]), (293,294,[3_1|2]), (294,295,[0_1|2]), (295,296,[0_1|2]), (296,297,[3_1|2]), (297,298,[3_1|2]), (297,277,[3_1|2]), (298,299,[4_1|2]), (299,300,[2_1|2]), (299,363,[2_1|2]), (299,371,[3_1|2]), (299,379,[5_1|2]), (300,127,[4_1|2]), (300,168,[4_1|2]), (300,219,[4_1|2]), (300,262,[4_1|2]), (300,379,[4_1|2]), (300,320,[4_1|2]), (300,325,[4_1|2]), (300,345,[0_1|2]), (301,302,[0_1|2]), (302,303,[5_1|2]), (303,304,[1_1|2]), (304,305,[1_1|2]), (305,306,[3_1|2]), (306,307,[2_1|2]), (307,308,[1_1|2]), (308,309,[2_1|2]), (309,310,[5_1|2]), (310,311,[5_1|2]), (311,312,[4_1|2]), (312,313,[3_1|2]), (313,314,[4_1|2]), (314,315,[3_1|2]), (315,316,[0_1|2]), (316,317,[5_1|2]), (317,318,[5_1|2]), (318,319,[3_1|2]), (318,277,[3_1|2]), (319,127,[4_1|2]), (319,207,[4_1|2]), (319,210,[4_1|2]), (319,214,[4_1|2]), (319,320,[4_1|2]), (319,325,[4_1|2]), (319,345,[0_1|2]), (320,321,[3_1|2]), (321,322,[1_1|2]), (322,323,[5_1|2]), (323,324,[1_1|2]), (324,127,[5_1|2]), (324,168,[5_1|2]), (324,219,[5_1|2]), (324,262,[5_1|2]), (324,379,[5_1|2]), (325,326,[0_1|2]), (326,327,[4_1|2]), (327,328,[1_1|2]), (328,329,[5_1|2]), (329,330,[1_1|2]), (330,331,[4_1|2]), (331,332,[2_1|2]), (332,333,[4_1|2]), (333,334,[2_1|2]), (334,335,[5_1|2]), (335,336,[4_1|2]), (336,337,[1_1|2]), (337,338,[2_1|2]), (338,339,[5_1|2]), (339,340,[2_1|2]), (340,341,[1_1|2]), (341,342,[2_1|2]), (342,343,[5_1|2]), (343,344,[2_1|2]), (343,393,[2_1|2]), (344,127,[2_1|2]), (344,320,[2_1|2]), (344,325,[2_1|2]), (344,285,[2_1|2]), (344,363,[2_1|2]), (344,371,[3_1|2]), (344,379,[5_1|2]), (344,393,[2_1|2]), (345,346,[3_1|2]), (346,347,[2_1|2]), (347,348,[3_1|2]), (348,349,[2_1|2]), (349,350,[0_1|2]), (350,351,[3_1|2]), (351,352,[2_1|2]), (352,353,[1_1|2]), (353,354,[1_1|2]), (354,355,[4_1|2]), (355,356,[5_1|2]), (356,357,[2_1|2]), (357,358,[2_1|2]), (358,359,[0_1|2]), (359,360,[1_1|2]), (360,361,[1_1|2]), (361,362,[2_1|2]), (362,127,[3_1|2]), (362,187,[3_1|2]), (362,242,[3_1|2]), (362,277,[3_1|2]), (362,284,[3_1|2]), (362,301,[3_1|2]), (362,371,[3_1|2]), (362,219,[5_1|2]), (362,223,[2_1|2]), (362,238,[0_1|2]), (362,256,[2_1|2]), (362,262,[5_1|2]), (362,410,[5_1|3]), (363,364,[4_1|2]), (364,365,[0_1|2]), (365,366,[0_1|2]), (366,367,[0_1|2]), (367,368,[0_1|2]), (368,369,[0_1|2]), (369,370,[5_1|2]), (370,127,[2_1|2]), (370,131,[2_1|2]), (370,223,[2_1|2]), (370,256,[2_1|2]), (370,363,[2_1|2]), (370,393,[2_1|2]), (370,169,[2_1|2]), (370,263,[2_1|2]), (370,371,[3_1|2]), (370,379,[5_1|2]), (371,372,[5_1|2]), (372,373,[2_1|2]), (373,374,[0_1|2]), (374,375,[5_1|2]), (375,376,[3_1|2]), (376,377,[3_1|2]), (377,378,[2_1|2]), (377,393,[2_1|2]), (378,127,[2_1|2]), (378,207,[2_1|2]), (378,210,[2_1|2]), (378,214,[2_1|2]), (378,278,[2_1|2]), (378,363,[2_1|2]), (378,371,[3_1|2]), (378,379,[5_1|2]), (378,393,[2_1|2]), (379,380,[0_1|2]), (380,381,[2_1|2]), (381,382,[0_1|2]), (382,383,[2_1|2]), (383,384,[0_1|2]), (384,385,[2_1|2]), (385,386,[5_1|2]), (386,387,[4_1|2]), (387,388,[0_1|2]), (388,389,[0_1|2]), (389,390,[5_1|2]), (390,391,[5_1|2]), (391,392,[2_1|2]), (392,127,[0_1|2]), (392,131,[0_1|2, 2_1|2]), (392,223,[0_1|2]), (392,256,[0_1|2]), (392,363,[0_1|2]), (392,393,[0_1|2]), (392,129,[0_1|2]), (392,239,[0_1|2]), (392,128,[0_1|2]), (392,144,[0_1|2]), (392,149,[0_1|2]), (392,168,[5_1|2]), (392,187,[3_1|2]), (393,394,[3_1|2]), (394,395,[2_1|2]), (395,396,[3_1|2]), (396,397,[2_1|2]), (397,398,[5_1|2]), (398,399,[4_1|2]), (399,400,[2_1|2]), (400,401,[0_1|2]), (401,402,[3_1|2]), (402,403,[2_1|2]), (403,404,[0_1|2]), (404,405,[2_1|2]), (405,406,[4_1|2]), (406,407,[5_1|2]), (407,408,[2_1|2]), (408,409,[4_1|2]), (408,345,[0_1|2]), (409,127,[4_1|2]), (409,131,[4_1|2]), (409,223,[4_1|2]), (409,256,[4_1|2]), (409,363,[4_1|2]), (409,393,[4_1|2]), (409,320,[4_1|2]), (409,325,[4_1|2]), (409,345,[0_1|2]), (410,411,[0_1|3]), (411,412,[2_1|3]), (412,413,[1_1|3]), (413,241,[1_1|3]), (413,345,[1_1|3]), (413,207,[1_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)