/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 67 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 76 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(1(x1))))) -> 0(0(1(1(x1)))) 4(5(2(3(5(x1))))) -> 4(4(0(5(x1)))) 5(3(2(4(3(2(x1)))))) -> 5(3(0(5(4(x1))))) 2(2(5(5(2(2(1(x1))))))) -> 3(2(3(3(1(0(x1)))))) 4(5(2(1(1(3(4(x1))))))) -> 1(1(0(5(0(x1))))) 0(2(2(3(3(2(5(0(4(x1))))))))) -> 0(2(2(1(3(4(1(4(x1)))))))) 2(3(0(4(0(0(5(2(4(x1))))))))) -> 3(2(2(2(3(0(4(0(4(x1))))))))) 2(4(3(3(3(5(0(1(3(x1))))))))) -> 0(1(0(0(5(0(5(x1))))))) 2(3(5(3(3(4(1(5(1(2(x1)))))))))) -> 2(0(3(5(2(5(1(3(4(2(x1)))))))))) 3(0(1(2(4(0(0(3(3(4(x1)))))))))) -> 3(1(5(0(4(2(0(2(5(4(x1)))))))))) 1(1(4(0(4(2(1(2(4(5(3(x1))))))))))) -> 1(1(0(1(5(2(2(0(2(4(x1)))))))))) 3(1(2(4(0(0(3(3(1(4(5(x1))))))))))) -> 2(3(1(1(4(0(4(2(2(2(5(x1))))))))))) 4(3(0(4(1(0(4(1(5(0(3(x1))))))))))) -> 0(4(2(3(0(0(1(5(5(1(x1)))))))))) 0(5(1(0(1(1(2(2(1(1(2(2(2(2(x1)))))))))))))) -> 0(3(0(5(3(1(3(0(3(4(2(3(3(1(4(x1))))))))))))))) 0(5(2(1(1(4(2(5(2(0(1(3(3(3(x1)))))))))))))) -> 0(4(0(4(4(4(5(0(2(4(0(3(2(2(x1)))))))))))))) 3(0(2(3(2(0(3(3(2(1(2(2(0(1(3(x1))))))))))))))) -> 2(1(5(3(2(1(2(2(0(4(0(1(3(1(x1)))))))))))))) 0(5(2(3(4(0(5(3(2(4(2(2(4(0(3(4(x1)))))))))))))))) -> 0(0(0(5(1(3(2(2(3(0(1(3(2(1(x1)))))))))))))) 4(4(2(5(3(3(1(1(3(1(1(0(5(3(1(4(x1)))))))))))))))) -> 4(2(4(4(4(2(1(5(5(4(3(3(0(5(1(5(4(x1))))))))))))))))) 5(3(5(1(1(5(4(2(2(4(1(5(0(5(4(3(x1)))))))))))))))) -> 0(0(4(2(2(1(3(2(1(0(5(1(1(1(x1)))))))))))))) 2(2(0(1(4(3(5(4(2(2(5(1(0(5(0(5(4(5(2(x1))))))))))))))))))) -> 3(3(4(2(0(4(5(2(5(2(0(0(4(4(3(5(1(4(5(2(x1)))))))))))))))))))) 2(5(3(4(1(3(2(5(3(1(1(2(2(1(0(2(4(3(3(x1))))))))))))))))))) -> 0(3(5(2(3(1(1(0(3(4(3(4(0(0(5(2(2(3(x1)))))))))))))))))) 5(3(1(5(0(1(4(4(2(4(3(2(5(0(4(1(0(4(4(x1))))))))))))))))))) -> 5(2(2(4(1(1(5(2(3(4(2(5(2(0(2(0(2(5(4(x1))))))))))))))))))) 2(3(0(3(2(3(1(1(4(2(5(3(4(2(5(2(5(0(2(3(1(x1))))))))))))))))))))) -> 3(2(4(3(2(1(3(3(1(0(1(1(3(3(0(3(0(5(1(x1))))))))))))))))))) 3(1(2(1(3(1(2(2(4(1(1(3(2(4(4(3(2(0(3(4(5(x1))))))))))))))))))))) -> 2(5(5(1(1(2(1(0(1(3(1(0(5(2(4(1(1(5(x1)))))))))))))))))) 5(4(3(1(3(4(5(3(0(1(3(4(0(2(2(4(3(3(0(5(3(x1))))))))))))))))))))) -> 5(5(1(1(5(2(4(0(0(1(0(1(2(0(5(1(3(5(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_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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 (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(1(x1))))) -> 0(0(1(1(x1)))) 4(5(2(3(5(x1))))) -> 4(4(0(5(x1)))) 5(3(2(4(3(2(x1)))))) -> 5(3(0(5(4(x1))))) 2(2(5(5(2(2(1(x1))))))) -> 3(2(3(3(1(0(x1)))))) 4(5(2(1(1(3(4(x1))))))) -> 1(1(0(5(0(x1))))) 0(2(2(3(3(2(5(0(4(x1))))))))) -> 0(2(2(1(3(4(1(4(x1)))))))) 2(3(0(4(0(0(5(2(4(x1))))))))) -> 3(2(2(2(3(0(4(0(4(x1))))))))) 2(4(3(3(3(5(0(1(3(x1))))))))) -> 0(1(0(0(5(0(5(x1))))))) 2(3(5(3(3(4(1(5(1(2(x1)))))))))) -> 2(0(3(5(2(5(1(3(4(2(x1)))))))))) 3(0(1(2(4(0(0(3(3(4(x1)))))))))) -> 3(1(5(0(4(2(0(2(5(4(x1)))))))))) 1(1(4(0(4(2(1(2(4(5(3(x1))))))))))) -> 1(1(0(1(5(2(2(0(2(4(x1)))))))))) 3(1(2(4(0(0(3(3(1(4(5(x1))))))))))) -> 2(3(1(1(4(0(4(2(2(2(5(x1))))))))))) 4(3(0(4(1(0(4(1(5(0(3(x1))))))))))) -> 0(4(2(3(0(0(1(5(5(1(x1)))))))))) 0(5(1(0(1(1(2(2(1(1(2(2(2(2(x1)))))))))))))) -> 0(3(0(5(3(1(3(0(3(4(2(3(3(1(4(x1))))))))))))))) 0(5(2(1(1(4(2(5(2(0(1(3(3(3(x1)))))))))))))) -> 0(4(0(4(4(4(5(0(2(4(0(3(2(2(x1)))))))))))))) 3(0(2(3(2(0(3(3(2(1(2(2(0(1(3(x1))))))))))))))) -> 2(1(5(3(2(1(2(2(0(4(0(1(3(1(x1)))))))))))))) 0(5(2(3(4(0(5(3(2(4(2(2(4(0(3(4(x1)))))))))))))))) -> 0(0(0(5(1(3(2(2(3(0(1(3(2(1(x1)))))))))))))) 4(4(2(5(3(3(1(1(3(1(1(0(5(3(1(4(x1)))))))))))))))) -> 4(2(4(4(4(2(1(5(5(4(3(3(0(5(1(5(4(x1))))))))))))))))) 5(3(5(1(1(5(4(2(2(4(1(5(0(5(4(3(x1)))))))))))))))) -> 0(0(4(2(2(1(3(2(1(0(5(1(1(1(x1)))))))))))))) 2(2(0(1(4(3(5(4(2(2(5(1(0(5(0(5(4(5(2(x1))))))))))))))))))) -> 3(3(4(2(0(4(5(2(5(2(0(0(4(4(3(5(1(4(5(2(x1)))))))))))))))))))) 2(5(3(4(1(3(2(5(3(1(1(2(2(1(0(2(4(3(3(x1))))))))))))))))))) -> 0(3(5(2(3(1(1(0(3(4(3(4(0(0(5(2(2(3(x1)))))))))))))))))) 5(3(1(5(0(1(4(4(2(4(3(2(5(0(4(1(0(4(4(x1))))))))))))))))))) -> 5(2(2(4(1(1(5(2(3(4(2(5(2(0(2(0(2(5(4(x1))))))))))))))))))) 2(3(0(3(2(3(1(1(4(2(5(3(4(2(5(2(5(0(2(3(1(x1))))))))))))))))))))) -> 3(2(4(3(2(1(3(3(1(0(1(1(3(3(0(3(0(5(1(x1))))))))))))))))))) 3(1(2(1(3(1(2(2(4(1(1(3(2(4(4(3(2(0(3(4(5(x1))))))))))))))))))))) -> 2(5(5(1(1(2(1(0(1(3(1(0(5(2(4(1(1(5(x1)))))))))))))))))) 5(4(3(1(3(4(5(3(0(1(3(4(0(2(2(4(3(3(0(5(3(x1))))))))))))))))))))) -> 5(5(1(1(5(2(4(0(0(1(0(1(2(0(5(1(3(5(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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: 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(1(x1))))) -> 0(0(1(1(x1)))) 4(5(2(3(5(x1))))) -> 4(4(0(5(x1)))) 5(3(2(4(3(2(x1)))))) -> 5(3(0(5(4(x1))))) 2(2(5(5(2(2(1(x1))))))) -> 3(2(3(3(1(0(x1)))))) 4(5(2(1(1(3(4(x1))))))) -> 1(1(0(5(0(x1))))) 0(2(2(3(3(2(5(0(4(x1))))))))) -> 0(2(2(1(3(4(1(4(x1)))))))) 2(3(0(4(0(0(5(2(4(x1))))))))) -> 3(2(2(2(3(0(4(0(4(x1))))))))) 2(4(3(3(3(5(0(1(3(x1))))))))) -> 0(1(0(0(5(0(5(x1))))))) 2(3(5(3(3(4(1(5(1(2(x1)))))))))) -> 2(0(3(5(2(5(1(3(4(2(x1)))))))))) 3(0(1(2(4(0(0(3(3(4(x1)))))))))) -> 3(1(5(0(4(2(0(2(5(4(x1)))))))))) 1(1(4(0(4(2(1(2(4(5(3(x1))))))))))) -> 1(1(0(1(5(2(2(0(2(4(x1)))))))))) 3(1(2(4(0(0(3(3(1(4(5(x1))))))))))) -> 2(3(1(1(4(0(4(2(2(2(5(x1))))))))))) 4(3(0(4(1(0(4(1(5(0(3(x1))))))))))) -> 0(4(2(3(0(0(1(5(5(1(x1)))))))))) 0(5(1(0(1(1(2(2(1(1(2(2(2(2(x1)))))))))))))) -> 0(3(0(5(3(1(3(0(3(4(2(3(3(1(4(x1))))))))))))))) 0(5(2(1(1(4(2(5(2(0(1(3(3(3(x1)))))))))))))) -> 0(4(0(4(4(4(5(0(2(4(0(3(2(2(x1)))))))))))))) 3(0(2(3(2(0(3(3(2(1(2(2(0(1(3(x1))))))))))))))) -> 2(1(5(3(2(1(2(2(0(4(0(1(3(1(x1)))))))))))))) 0(5(2(3(4(0(5(3(2(4(2(2(4(0(3(4(x1)))))))))))))))) -> 0(0(0(5(1(3(2(2(3(0(1(3(2(1(x1)))))))))))))) 4(4(2(5(3(3(1(1(3(1(1(0(5(3(1(4(x1)))))))))))))))) -> 4(2(4(4(4(2(1(5(5(4(3(3(0(5(1(5(4(x1))))))))))))))))) 5(3(5(1(1(5(4(2(2(4(1(5(0(5(4(3(x1)))))))))))))))) -> 0(0(4(2(2(1(3(2(1(0(5(1(1(1(x1)))))))))))))) 2(2(0(1(4(3(5(4(2(2(5(1(0(5(0(5(4(5(2(x1))))))))))))))))))) -> 3(3(4(2(0(4(5(2(5(2(0(0(4(4(3(5(1(4(5(2(x1)))))))))))))))))))) 2(5(3(4(1(3(2(5(3(1(1(2(2(1(0(2(4(3(3(x1))))))))))))))))))) -> 0(3(5(2(3(1(1(0(3(4(3(4(0(0(5(2(2(3(x1)))))))))))))))))) 5(3(1(5(0(1(4(4(2(4(3(2(5(0(4(1(0(4(4(x1))))))))))))))))))) -> 5(2(2(4(1(1(5(2(3(4(2(5(2(0(2(0(2(5(4(x1))))))))))))))))))) 2(3(0(3(2(3(1(1(4(2(5(3(4(2(5(2(5(0(2(3(1(x1))))))))))))))))))))) -> 3(2(4(3(2(1(3(3(1(0(1(1(3(3(0(3(0(5(1(x1))))))))))))))))))) 3(1(2(1(3(1(2(2(4(1(1(3(2(4(4(3(2(0(3(4(5(x1))))))))))))))))))))) -> 2(5(5(1(1(2(1(0(1(3(1(0(5(2(4(1(1(5(x1)))))))))))))))))) 5(4(3(1(3(4(5(3(0(1(3(4(0(2(2(4(3(3(0(5(3(x1))))))))))))))))))))) -> 5(5(1(1(5(2(4(0(0(1(0(1(2(0(5(1(3(5(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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: 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(1(x1))))) -> 0(0(1(1(x1)))) 4(5(2(3(5(x1))))) -> 4(4(0(5(x1)))) 5(3(2(4(3(2(x1)))))) -> 5(3(0(5(4(x1))))) 2(2(5(5(2(2(1(x1))))))) -> 3(2(3(3(1(0(x1)))))) 4(5(2(1(1(3(4(x1))))))) -> 1(1(0(5(0(x1))))) 0(2(2(3(3(2(5(0(4(x1))))))))) -> 0(2(2(1(3(4(1(4(x1)))))))) 2(3(0(4(0(0(5(2(4(x1))))))))) -> 3(2(2(2(3(0(4(0(4(x1))))))))) 2(4(3(3(3(5(0(1(3(x1))))))))) -> 0(1(0(0(5(0(5(x1))))))) 2(3(5(3(3(4(1(5(1(2(x1)))))))))) -> 2(0(3(5(2(5(1(3(4(2(x1)))))))))) 3(0(1(2(4(0(0(3(3(4(x1)))))))))) -> 3(1(5(0(4(2(0(2(5(4(x1)))))))))) 1(1(4(0(4(2(1(2(4(5(3(x1))))))))))) -> 1(1(0(1(5(2(2(0(2(4(x1)))))))))) 3(1(2(4(0(0(3(3(1(4(5(x1))))))))))) -> 2(3(1(1(4(0(4(2(2(2(5(x1))))))))))) 4(3(0(4(1(0(4(1(5(0(3(x1))))))))))) -> 0(4(2(3(0(0(1(5(5(1(x1)))))))))) 0(5(1(0(1(1(2(2(1(1(2(2(2(2(x1)))))))))))))) -> 0(3(0(5(3(1(3(0(3(4(2(3(3(1(4(x1))))))))))))))) 0(5(2(1(1(4(2(5(2(0(1(3(3(3(x1)))))))))))))) -> 0(4(0(4(4(4(5(0(2(4(0(3(2(2(x1)))))))))))))) 3(0(2(3(2(0(3(3(2(1(2(2(0(1(3(x1))))))))))))))) -> 2(1(5(3(2(1(2(2(0(4(0(1(3(1(x1)))))))))))))) 0(5(2(3(4(0(5(3(2(4(2(2(4(0(3(4(x1)))))))))))))))) -> 0(0(0(5(1(3(2(2(3(0(1(3(2(1(x1)))))))))))))) 4(4(2(5(3(3(1(1(3(1(1(0(5(3(1(4(x1)))))))))))))))) -> 4(2(4(4(4(2(1(5(5(4(3(3(0(5(1(5(4(x1))))))))))))))))) 5(3(5(1(1(5(4(2(2(4(1(5(0(5(4(3(x1)))))))))))))))) -> 0(0(4(2(2(1(3(2(1(0(5(1(1(1(x1)))))))))))))) 2(2(0(1(4(3(5(4(2(2(5(1(0(5(0(5(4(5(2(x1))))))))))))))))))) -> 3(3(4(2(0(4(5(2(5(2(0(0(4(4(3(5(1(4(5(2(x1)))))))))))))))))))) 2(5(3(4(1(3(2(5(3(1(1(2(2(1(0(2(4(3(3(x1))))))))))))))))))) -> 0(3(5(2(3(1(1(0(3(4(3(4(0(0(5(2(2(3(x1)))))))))))))))))) 5(3(1(5(0(1(4(4(2(4(3(2(5(0(4(1(0(4(4(x1))))))))))))))))))) -> 5(2(2(4(1(1(5(2(3(4(2(5(2(0(2(0(2(5(4(x1))))))))))))))))))) 2(3(0(3(2(3(1(1(4(2(5(3(4(2(5(2(5(0(2(3(1(x1))))))))))))))))))))) -> 3(2(4(3(2(1(3(3(1(0(1(1(3(3(0(3(0(5(1(x1))))))))))))))))))) 3(1(2(1(3(1(2(2(4(1(1(3(2(4(4(3(2(0(3(4(5(x1))))))))))))))))))))) -> 2(5(5(1(1(2(1(0(1(3(1(0(5(2(4(1(1(5(x1)))))))))))))))))) 5(4(3(1(3(4(5(3(0(1(3(4(0(2(2(4(3(3(0(5(3(x1))))))))))))))))))))) -> 5(5(1(1(5(2(4(0(0(1(0(1(2(0(5(1(3(5(x1)))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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: 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. "[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] {(151,152,[0_1|0, 4_1|0, 5_1|0, 2_1|0, 3_1|0, 1_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (151,153,[0_1|1, 4_1|1, 5_1|1, 2_1|1, 3_1|1, 1_1|1]), (151,154,[0_1|2]), (151,157,[0_1|2]), (151,164,[0_1|2]), (151,178,[0_1|2]), (151,191,[0_1|2]), (151,204,[4_1|2]), (151,207,[1_1|2]), (151,211,[0_1|2]), (151,220,[4_1|2]), (151,236,[5_1|2]), (151,240,[0_1|2]), (151,253,[5_1|2]), (151,271,[5_1|2]), (151,288,[3_1|2]), (151,293,[3_1|2]), (151,312,[3_1|2]), (151,320,[3_1|2]), (151,338,[2_1|2]), (151,347,[0_1|2]), (151,353,[0_1|2]), (151,370,[3_1|2]), (151,379,[2_1|2]), (151,392,[2_1|2]), (151,402,[2_1|2]), (151,419,[1_1|2]), (152,152,[cons_0_1|0, cons_4_1|0, cons_5_1|0, cons_2_1|0, cons_3_1|0, cons_1_1|0]), (153,152,[encArg_1|1]), (153,153,[0_1|1, 4_1|1, 5_1|1, 2_1|1, 3_1|1, 1_1|1]), (153,154,[0_1|2]), (153,157,[0_1|2]), (153,164,[0_1|2]), (153,178,[0_1|2]), (153,191,[0_1|2]), (153,204,[4_1|2]), (153,207,[1_1|2]), (153,211,[0_1|2]), (153,220,[4_1|2]), (153,236,[5_1|2]), (153,240,[0_1|2]), (153,253,[5_1|2]), (153,271,[5_1|2]), (153,288,[3_1|2]), (153,293,[3_1|2]), (153,312,[3_1|2]), (153,320,[3_1|2]), (153,338,[2_1|2]), (153,347,[0_1|2]), (153,353,[0_1|2]), (153,370,[3_1|2]), (153,379,[2_1|2]), (153,392,[2_1|2]), (153,402,[2_1|2]), (153,419,[1_1|2]), (154,155,[0_1|2]), (155,156,[1_1|2]), (155,419,[1_1|2]), (156,153,[1_1|2]), (156,207,[1_1|2]), (156,419,[1_1|2]), (156,371,[1_1|2]), (156,394,[1_1|2]), (157,158,[2_1|2]), (158,159,[2_1|2]), (159,160,[1_1|2]), (160,161,[3_1|2]), (161,162,[4_1|2]), (162,163,[1_1|2]), (163,153,[4_1|2]), (163,204,[4_1|2]), (163,220,[4_1|2]), (163,179,[4_1|2]), (163,212,[4_1|2]), (163,207,[1_1|2]), (163,211,[0_1|2]), (164,165,[3_1|2]), (165,166,[0_1|2]), (166,167,[5_1|2]), (167,168,[3_1|2]), (168,169,[1_1|2]), (169,170,[3_1|2]), (170,171,[0_1|2]), (171,172,[3_1|2]), (172,173,[4_1|2]), (173,174,[2_1|2]), (174,175,[3_1|2]), (175,176,[3_1|2]), (176,177,[1_1|2]), (177,153,[4_1|2]), (177,338,[4_1|2]), (177,379,[4_1|2]), (177,392,[4_1|2]), (177,402,[4_1|2]), (177,204,[4_1|2]), (177,207,[1_1|2]), (177,211,[0_1|2]), (177,220,[4_1|2]), (178,179,[4_1|2]), (179,180,[0_1|2]), (180,181,[4_1|2]), (181,182,[4_1|2]), (182,183,[4_1|2]), (183,184,[5_1|2]), (184,185,[0_1|2]), (185,186,[2_1|2]), (186,187,[4_1|2]), (187,188,[0_1|2]), (188,189,[3_1|2]), (189,190,[2_1|2]), (189,288,[3_1|2]), (189,293,[3_1|2]), (190,153,[2_1|2]), (190,288,[2_1|2, 3_1|2]), (190,293,[2_1|2, 3_1|2]), (190,312,[2_1|2, 3_1|2]), (190,320,[2_1|2, 3_1|2]), (190,370,[2_1|2]), (190,294,[2_1|2]), (190,338,[2_1|2]), (190,347,[0_1|2]), (190,353,[0_1|2]), (191,192,[0_1|2]), (192,193,[0_1|2]), (193,194,[5_1|2]), (194,195,[1_1|2]), (195,196,[3_1|2]), (196,197,[2_1|2]), (197,198,[2_1|2]), (198,199,[3_1|2]), (199,200,[0_1|2]), (200,201,[1_1|2]), (201,202,[3_1|2]), (202,203,[2_1|2]), (203,153,[1_1|2]), (203,204,[1_1|2]), (203,220,[1_1|2]), (203,419,[1_1|2]), (204,205,[4_1|2]), (205,206,[0_1|2]), (205,164,[0_1|2]), (205,178,[0_1|2]), (205,191,[0_1|2]), (206,153,[5_1|2]), (206,236,[5_1|2]), (206,253,[5_1|2]), (206,271,[5_1|2]), (206,240,[0_1|2]), (206,428,[5_1|3]), (207,208,[1_1|2]), (208,209,[0_1|2]), (209,210,[5_1|2]), (210,153,[0_1|2]), (210,204,[0_1|2]), (210,220,[0_1|2]), (210,154,[0_1|2]), (210,157,[0_1|2]), (210,164,[0_1|2]), (210,178,[0_1|2]), (210,191,[0_1|2]), (211,212,[4_1|2]), (212,213,[2_1|2]), (213,214,[3_1|2]), (214,215,[0_1|2]), (215,216,[0_1|2]), (216,217,[1_1|2]), (217,218,[5_1|2]), (218,219,[5_1|2]), (219,153,[1_1|2]), (219,288,[1_1|2]), (219,293,[1_1|2]), (219,312,[1_1|2]), (219,320,[1_1|2]), (219,370,[1_1|2]), (219,165,[1_1|2]), (219,354,[1_1|2]), (219,419,[1_1|2]), (220,221,[2_1|2]), (221,222,[4_1|2]), (222,223,[4_1|2]), (223,224,[4_1|2]), (224,225,[2_1|2]), (225,226,[1_1|2]), (226,227,[5_1|2]), (227,228,[5_1|2]), (228,229,[4_1|2]), (229,230,[3_1|2]), (230,231,[3_1|2]), (231,232,[0_1|2]), (232,233,[5_1|2]), (233,234,[1_1|2]), (234,235,[5_1|2]), (234,271,[5_1|2]), (235,153,[4_1|2]), (235,204,[4_1|2]), (235,220,[4_1|2]), (235,207,[1_1|2]), (235,211,[0_1|2]), (236,237,[3_1|2]), (237,238,[0_1|2]), (238,239,[5_1|2]), (238,271,[5_1|2]), (239,153,[4_1|2]), (239,338,[4_1|2]), (239,379,[4_1|2]), (239,392,[4_1|2]), (239,402,[4_1|2]), (239,289,[4_1|2]), (239,313,[4_1|2]), (239,321,[4_1|2]), (239,324,[4_1|2]), (239,204,[4_1|2]), (239,207,[1_1|2]), (239,211,[0_1|2]), (239,220,[4_1|2]), (240,241,[0_1|2]), (241,242,[4_1|2]), (242,243,[2_1|2]), (243,244,[2_1|2]), (244,245,[1_1|2]), (245,246,[3_1|2]), (246,247,[2_1|2]), (247,248,[1_1|2]), (248,249,[0_1|2]), (249,250,[5_1|2]), (250,251,[1_1|2]), (251,252,[1_1|2]), (251,419,[1_1|2]), (252,153,[1_1|2]), (252,288,[1_1|2]), (252,293,[1_1|2]), (252,312,[1_1|2]), (252,320,[1_1|2]), (252,370,[1_1|2]), (252,419,[1_1|2]), (253,254,[2_1|2]), (254,255,[2_1|2]), (255,256,[4_1|2]), (256,257,[1_1|2]), (257,258,[1_1|2]), (258,259,[5_1|2]), (259,260,[2_1|2]), (260,261,[3_1|2]), (261,262,[4_1|2]), (262,263,[2_1|2]), (263,264,[5_1|2]), (264,265,[2_1|2]), (265,266,[0_1|2]), (266,267,[2_1|2]), (267,268,[0_1|2]), (268,269,[2_1|2]), (269,270,[5_1|2]), (269,271,[5_1|2]), (270,153,[4_1|2]), (270,204,[4_1|2]), (270,220,[4_1|2]), (270,205,[4_1|2]), (270,207,[1_1|2]), (270,211,[0_1|2]), (271,272,[5_1|2]), (272,273,[1_1|2]), (273,274,[1_1|2]), (274,275,[5_1|2]), (275,276,[2_1|2]), (276,277,[4_1|2]), (277,278,[0_1|2]), (278,279,[0_1|2]), (279,280,[1_1|2]), (280,281,[0_1|2]), (281,282,[1_1|2]), (282,283,[2_1|2]), (283,284,[0_1|2]), (284,285,[5_1|2]), (285,286,[1_1|2]), (286,287,[3_1|2]), (287,153,[5_1|2]), (287,288,[5_1|2]), (287,293,[5_1|2]), (287,312,[5_1|2]), (287,320,[5_1|2]), (287,370,[5_1|2]), (287,237,[5_1|2]), (287,236,[5_1|2]), (287,240,[0_1|2]), (287,253,[5_1|2]), (287,271,[5_1|2]), (287,428,[5_1|3]), (288,289,[2_1|2]), (289,290,[3_1|2]), (290,291,[3_1|2]), (291,292,[1_1|2]), (292,153,[0_1|2]), (292,207,[0_1|2]), (292,419,[0_1|2]), (292,380,[0_1|2]), (292,154,[0_1|2]), (292,157,[0_1|2]), (292,164,[0_1|2]), (292,178,[0_1|2]), (292,191,[0_1|2]), (293,294,[3_1|2]), (294,295,[4_1|2]), (295,296,[2_1|2]), (296,297,[0_1|2]), (297,298,[4_1|2]), (298,299,[5_1|2]), (299,300,[2_1|2]), (300,301,[5_1|2]), (301,302,[2_1|2]), (302,303,[0_1|2]), (303,304,[0_1|2]), (304,305,[4_1|2]), (305,306,[4_1|2]), (306,307,[3_1|2]), (307,308,[5_1|2]), (308,309,[1_1|2]), (309,310,[4_1|2]), (309,204,[4_1|2]), (309,207,[1_1|2]), (310,311,[5_1|2]), (310,428,[5_1|3]), (311,153,[2_1|2]), (311,338,[2_1|2]), (311,379,[2_1|2]), (311,392,[2_1|2]), (311,402,[2_1|2]), (311,254,[2_1|2]), (311,288,[3_1|2]), (311,293,[3_1|2]), (311,312,[3_1|2]), (311,320,[3_1|2]), (311,347,[0_1|2]), (311,353,[0_1|2]), (312,313,[2_1|2]), (313,314,[2_1|2]), (314,315,[2_1|2]), (315,316,[3_1|2]), (316,317,[0_1|2]), (317,318,[4_1|2]), (318,319,[0_1|2]), (319,153,[4_1|2]), (319,204,[4_1|2]), (319,220,[4_1|2]), (319,207,[1_1|2]), (319,211,[0_1|2]), (320,321,[2_1|2]), (321,322,[4_1|2]), (322,323,[3_1|2]), (323,324,[2_1|2]), (324,325,[1_1|2]), (325,326,[3_1|2]), (326,327,[3_1|2]), (327,328,[1_1|2]), (328,329,[0_1|2]), (329,330,[1_1|2]), (330,331,[1_1|2]), (331,332,[3_1|2]), (332,333,[3_1|2]), (333,334,[0_1|2]), (334,335,[3_1|2]), (335,336,[0_1|2]), (335,164,[0_1|2]), (336,337,[5_1|2]), (337,153,[1_1|2]), (337,207,[1_1|2]), (337,419,[1_1|2]), (337,371,[1_1|2]), (337,394,[1_1|2]), (338,339,[0_1|2]), (339,340,[3_1|2]), (340,341,[5_1|2]), (341,342,[2_1|2]), (342,343,[5_1|2]), (343,344,[1_1|2]), (344,345,[3_1|2]), (345,346,[4_1|2]), (346,153,[2_1|2]), (346,338,[2_1|2]), (346,379,[2_1|2]), (346,392,[2_1|2]), (346,402,[2_1|2]), (346,288,[3_1|2]), (346,293,[3_1|2]), (346,312,[3_1|2]), (346,320,[3_1|2]), (346,347,[0_1|2]), (346,353,[0_1|2]), (347,348,[1_1|2]), (348,349,[0_1|2]), (349,350,[0_1|2]), (350,351,[5_1|2]), (351,352,[0_1|2]), (351,164,[0_1|2]), (351,178,[0_1|2]), (351,191,[0_1|2]), (352,153,[5_1|2]), (352,288,[5_1|2]), (352,293,[5_1|2]), (352,312,[5_1|2]), (352,320,[5_1|2]), (352,370,[5_1|2]), (352,236,[5_1|2]), (352,240,[0_1|2]), (352,253,[5_1|2]), (352,271,[5_1|2]), (352,428,[5_1|3]), (353,354,[3_1|2]), (354,355,[5_1|2]), (355,356,[2_1|2]), (356,357,[3_1|2]), (357,358,[1_1|2]), (358,359,[1_1|2]), (359,360,[0_1|2]), (360,361,[3_1|2]), (361,362,[4_1|2]), (362,363,[3_1|2]), (363,364,[4_1|2]), (364,365,[0_1|2]), (365,366,[0_1|2]), (366,367,[5_1|2]), (367,368,[2_1|2]), (368,369,[2_1|2]), (368,312,[3_1|2]), (368,320,[3_1|2]), (368,338,[2_1|2]), (369,153,[3_1|2]), (369,288,[3_1|2]), (369,293,[3_1|2]), (369,312,[3_1|2]), (369,320,[3_1|2]), (369,370,[3_1|2]), (369,294,[3_1|2]), (369,379,[2_1|2]), (369,392,[2_1|2]), (369,402,[2_1|2]), (370,371,[1_1|2]), (371,372,[5_1|2]), (372,373,[0_1|2]), (373,374,[4_1|2]), (374,375,[2_1|2]), (375,376,[0_1|2]), (376,377,[2_1|2]), (377,378,[5_1|2]), (377,271,[5_1|2]), (378,153,[4_1|2]), (378,204,[4_1|2]), (378,220,[4_1|2]), (378,295,[4_1|2]), (378,207,[1_1|2]), (378,211,[0_1|2]), (379,380,[1_1|2]), (380,381,[5_1|2]), (381,382,[3_1|2]), (382,383,[2_1|2]), (383,384,[1_1|2]), (384,385,[2_1|2]), (385,386,[2_1|2]), (386,387,[0_1|2]), (387,388,[4_1|2]), (388,389,[0_1|2]), (388,432,[0_1|3]), (389,390,[1_1|2]), (390,391,[3_1|2]), (390,392,[2_1|2]), (390,402,[2_1|2]), (391,153,[1_1|2]), (391,288,[1_1|2]), (391,293,[1_1|2]), (391,312,[1_1|2]), (391,320,[1_1|2]), (391,370,[1_1|2]), (391,419,[1_1|2]), (392,393,[3_1|2]), (393,394,[1_1|2]), (394,395,[1_1|2]), (395,396,[4_1|2]), (396,397,[0_1|2]), (397,398,[4_1|2]), (398,399,[2_1|2]), (399,400,[2_1|2]), (399,288,[3_1|2]), (400,401,[2_1|2]), (400,353,[0_1|2]), (401,153,[5_1|2]), (401,236,[5_1|2]), (401,253,[5_1|2]), (401,271,[5_1|2]), (401,240,[0_1|2]), (401,428,[5_1|3]), (402,403,[5_1|2]), (403,404,[5_1|2]), (404,405,[1_1|2]), (405,406,[1_1|2]), (406,407,[2_1|2]), (407,408,[1_1|2]), (408,409,[0_1|2]), (409,410,[1_1|2]), (410,411,[3_1|2]), (411,412,[1_1|2]), (412,413,[0_1|2]), (413,414,[5_1|2]), (414,415,[2_1|2]), (415,416,[4_1|2]), (416,417,[1_1|2]), (417,418,[1_1|2]), (418,153,[5_1|2]), (418,236,[5_1|2]), (418,253,[5_1|2]), (418,271,[5_1|2]), (418,240,[0_1|2]), (418,428,[5_1|3]), (419,420,[1_1|2]), (420,421,[0_1|2]), (421,422,[1_1|2]), (422,423,[5_1|2]), (423,424,[2_1|2]), (424,425,[2_1|2]), (425,426,[0_1|2]), (426,427,[2_1|2]), (426,347,[0_1|2]), (427,153,[4_1|2]), (427,288,[4_1|2]), (427,293,[4_1|2]), (427,312,[4_1|2]), (427,320,[4_1|2]), (427,370,[4_1|2]), (427,237,[4_1|2]), (427,204,[4_1|2]), (427,207,[1_1|2]), (427,211,[0_1|2]), (427,220,[4_1|2]), (428,429,[3_1|3]), (429,430,[0_1|3]), (430,431,[5_1|3]), (431,324,[4_1|3]), (432,433,[0_1|3]), (433,434,[1_1|3]), (434,394,[1_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)