/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 46 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 (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 5(4(1(x1))) -> 2(5(5(1(1(1(0(2(3(4(x1)))))))))) 4(1(1(3(x1)))) -> 4(4(5(1(4(0(2(0(3(3(x1)))))))))) 4(4(1(3(x1)))) -> 5(1(1(4(5(5(3(3(2(3(x1)))))))))) 0(0(4(1(4(x1))))) -> 3(3(1(1(0(3(1(4(2(4(x1)))))))))) 0(5(0(4(2(x1))))) -> 0(0(3(5(3(3(2(3(4(5(x1)))))))))) 2(4(3(4(0(x1))))) -> 2(5(2(2(5(5(0(3(2(3(x1)))))))))) 4(4(2(3(4(x1))))) -> 2(2(4(5(3(3(1(1(1(4(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(5(5(2(3(2(5(4(0(0(x1)))))))))) 0(0(0(2(0(1(x1)))))) -> 3(3(5(3(1(3(1(4(0(1(x1)))))))))) 1(2(0(1(3(2(x1)))))) -> 2(0(3(2(1(2(3(1(0(3(x1)))))))))) 1(3(5(4(3(5(x1)))))) -> 1(3(3(1(1(5(1(0(1(5(x1)))))))))) 1(4(1(0(1(2(x1)))))) -> 1(0(3(1(5(3(3(4(5(2(x1)))))))))) 3(2(4(3(5(5(x1)))))) -> 3(5(5(5(1(4(4(5(4(5(x1)))))))))) 3(4(3(2(0(5(x1)))))) -> 2(3(3(5(3(3(1(3(3(5(x1)))))))))) 3(5(5(5(0(2(x1)))))) -> 3(3(5(1(0(0(3(3(1(0(x1)))))))))) 5(0(4(3(0(1(x1)))))) -> 0(3(1(2(5(1(1(1(2(1(x1)))))))))) 5(5(4(3(2(4(x1)))))) -> 5(4(2(2(5(2(1(2(3(4(x1)))))))))) 0(0(2(0(5(2(1(x1))))))) -> 0(4(3(5(2(3(5(5(2(1(x1)))))))))) 0(1(3(4(2(1(2(x1))))))) -> 0(1(2(0(3(1(2(5(2(2(x1)))))))))) 0(1(4(1(4(4(3(x1))))))) -> 0(1(0(1(1(2(0(5(2(3(x1)))))))))) 0(5(1(1(3(4(1(x1))))))) -> 0(2(2(0(2(3(1(5(5(3(x1)))))))))) 1(3(1(0(4(1(0(x1))))))) -> 1(3(3(3(3(0(0(3(1(0(x1)))))))))) 1(3(2(0(1(2(1(x1))))))) -> 5(2(4(2(4(4(2(5(1(3(x1)))))))))) 1(3(5(4(4(1(2(x1))))))) -> 2(0(5(0(2(3(2(2(2(2(x1)))))))))) 1(4(0(0(2(5(0(x1))))))) -> 1(0(3(2(2(2(1(0(5(0(x1)))))))))) 2(0(1(5(1(4(2(x1))))))) -> 2(2(5(5(2(1(2(4(0(5(x1)))))))))) 2(0(4(0(4(3(0(x1))))))) -> 3(1(3(3(4(5(2(3(0(3(x1)))))))))) 3(0(4(1(0(0(0(x1))))))) -> 5(2(3(5(4(5(5(1(3(0(x1)))))))))) 3(0(4(3(0(3(4(x1))))))) -> 3(5(3(1(0(3(2(3(0(4(x1)))))))))) 3(4(0(4(4(2(3(x1))))))) -> 3(2(4(4(5(1(1(4(5(0(x1)))))))))) 3(4(4(1(4(1(1(x1))))))) -> 4(2(0(3(2(1(3(0(0(1(x1)))))))))) 3(5(0(4(1(5(0(x1))))))) -> 2(3(1(0(5(4(3(0(3(3(x1)))))))))) 3(5(0(5(5(5(3(x1))))))) -> 3(3(5(4(0(1(4(5(3(0(x1)))))))))) 4(1(5(2(0(1(5(x1))))))) -> 2(5(4(2(3(3(0(0(0(5(x1)))))))))) 4(3(0(1(2(4(2(x1))))))) -> 4(3(3(1(1(0(3(2(2(5(x1)))))))))) 4(3(4(1(4(4(3(x1))))))) -> 1(4(3(3(3(1(3(1(2(2(x1)))))))))) 5(0(4(2(0(4(2(x1))))))) -> 5(2(2(0(1(5(5(2(4(2(x1)))))))))) 5(0(4(2(5(5(0(x1))))))) -> 0(3(3(1(2(3(0(0(2(3(x1)))))))))) 5(4(1(2(0(4(1(x1))))))) -> 4(5(4(2(2(3(4(5(5(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(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(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: 5(4(1(x1))) -> 2(5(5(1(1(1(0(2(3(4(x1)))))))))) 4(1(1(3(x1)))) -> 4(4(5(1(4(0(2(0(3(3(x1)))))))))) 4(4(1(3(x1)))) -> 5(1(1(4(5(5(3(3(2(3(x1)))))))))) 0(0(4(1(4(x1))))) -> 3(3(1(1(0(3(1(4(2(4(x1)))))))))) 0(5(0(4(2(x1))))) -> 0(0(3(5(3(3(2(3(4(5(x1)))))))))) 2(4(3(4(0(x1))))) -> 2(5(2(2(5(5(0(3(2(3(x1)))))))))) 4(4(2(3(4(x1))))) -> 2(2(4(5(3(3(1(1(1(4(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(5(5(2(3(2(5(4(0(0(x1)))))))))) 0(0(0(2(0(1(x1)))))) -> 3(3(5(3(1(3(1(4(0(1(x1)))))))))) 1(2(0(1(3(2(x1)))))) -> 2(0(3(2(1(2(3(1(0(3(x1)))))))))) 1(3(5(4(3(5(x1)))))) -> 1(3(3(1(1(5(1(0(1(5(x1)))))))))) 1(4(1(0(1(2(x1)))))) -> 1(0(3(1(5(3(3(4(5(2(x1)))))))))) 3(2(4(3(5(5(x1)))))) -> 3(5(5(5(1(4(4(5(4(5(x1)))))))))) 3(4(3(2(0(5(x1)))))) -> 2(3(3(5(3(3(1(3(3(5(x1)))))))))) 3(5(5(5(0(2(x1)))))) -> 3(3(5(1(0(0(3(3(1(0(x1)))))))))) 5(0(4(3(0(1(x1)))))) -> 0(3(1(2(5(1(1(1(2(1(x1)))))))))) 5(5(4(3(2(4(x1)))))) -> 5(4(2(2(5(2(1(2(3(4(x1)))))))))) 0(0(2(0(5(2(1(x1))))))) -> 0(4(3(5(2(3(5(5(2(1(x1)))))))))) 0(1(3(4(2(1(2(x1))))))) -> 0(1(2(0(3(1(2(5(2(2(x1)))))))))) 0(1(4(1(4(4(3(x1))))))) -> 0(1(0(1(1(2(0(5(2(3(x1)))))))))) 0(5(1(1(3(4(1(x1))))))) -> 0(2(2(0(2(3(1(5(5(3(x1)))))))))) 1(3(1(0(4(1(0(x1))))))) -> 1(3(3(3(3(0(0(3(1(0(x1)))))))))) 1(3(2(0(1(2(1(x1))))))) -> 5(2(4(2(4(4(2(5(1(3(x1)))))))))) 1(3(5(4(4(1(2(x1))))))) -> 2(0(5(0(2(3(2(2(2(2(x1)))))))))) 1(4(0(0(2(5(0(x1))))))) -> 1(0(3(2(2(2(1(0(5(0(x1)))))))))) 2(0(1(5(1(4(2(x1))))))) -> 2(2(5(5(2(1(2(4(0(5(x1)))))))))) 2(0(4(0(4(3(0(x1))))))) -> 3(1(3(3(4(5(2(3(0(3(x1)))))))))) 3(0(4(1(0(0(0(x1))))))) -> 5(2(3(5(4(5(5(1(3(0(x1)))))))))) 3(0(4(3(0(3(4(x1))))))) -> 3(5(3(1(0(3(2(3(0(4(x1)))))))))) 3(4(0(4(4(2(3(x1))))))) -> 3(2(4(4(5(1(1(4(5(0(x1)))))))))) 3(4(4(1(4(1(1(x1))))))) -> 4(2(0(3(2(1(3(0(0(1(x1)))))))))) 3(5(0(4(1(5(0(x1))))))) -> 2(3(1(0(5(4(3(0(3(3(x1)))))))))) 3(5(0(5(5(5(3(x1))))))) -> 3(3(5(4(0(1(4(5(3(0(x1)))))))))) 4(1(5(2(0(1(5(x1))))))) -> 2(5(4(2(3(3(0(0(0(5(x1)))))))))) 4(3(0(1(2(4(2(x1))))))) -> 4(3(3(1(1(0(3(2(2(5(x1)))))))))) 4(3(4(1(4(4(3(x1))))))) -> 1(4(3(3(3(1(3(1(2(2(x1)))))))))) 5(0(4(2(0(4(2(x1))))))) -> 5(2(2(0(1(5(5(2(4(2(x1)))))))))) 5(0(4(2(5(5(0(x1))))))) -> 0(3(3(1(2(3(0(0(2(3(x1)))))))))) 5(4(1(2(0(4(1(x1))))))) -> 4(5(4(2(2(3(4(5(5(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(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: 5(4(1(x1))) -> 2(5(5(1(1(1(0(2(3(4(x1)))))))))) 4(1(1(3(x1)))) -> 4(4(5(1(4(0(2(0(3(3(x1)))))))))) 4(4(1(3(x1)))) -> 5(1(1(4(5(5(3(3(2(3(x1)))))))))) 0(0(4(1(4(x1))))) -> 3(3(1(1(0(3(1(4(2(4(x1)))))))))) 0(5(0(4(2(x1))))) -> 0(0(3(5(3(3(2(3(4(5(x1)))))))))) 2(4(3(4(0(x1))))) -> 2(5(2(2(5(5(0(3(2(3(x1)))))))))) 4(4(2(3(4(x1))))) -> 2(2(4(5(3(3(1(1(1(4(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(5(5(2(3(2(5(4(0(0(x1)))))))))) 0(0(0(2(0(1(x1)))))) -> 3(3(5(3(1(3(1(4(0(1(x1)))))))))) 1(2(0(1(3(2(x1)))))) -> 2(0(3(2(1(2(3(1(0(3(x1)))))))))) 1(3(5(4(3(5(x1)))))) -> 1(3(3(1(1(5(1(0(1(5(x1)))))))))) 1(4(1(0(1(2(x1)))))) -> 1(0(3(1(5(3(3(4(5(2(x1)))))))))) 3(2(4(3(5(5(x1)))))) -> 3(5(5(5(1(4(4(5(4(5(x1)))))))))) 3(4(3(2(0(5(x1)))))) -> 2(3(3(5(3(3(1(3(3(5(x1)))))))))) 3(5(5(5(0(2(x1)))))) -> 3(3(5(1(0(0(3(3(1(0(x1)))))))))) 5(0(4(3(0(1(x1)))))) -> 0(3(1(2(5(1(1(1(2(1(x1)))))))))) 5(5(4(3(2(4(x1)))))) -> 5(4(2(2(5(2(1(2(3(4(x1)))))))))) 0(0(2(0(5(2(1(x1))))))) -> 0(4(3(5(2(3(5(5(2(1(x1)))))))))) 0(1(3(4(2(1(2(x1))))))) -> 0(1(2(0(3(1(2(5(2(2(x1)))))))))) 0(1(4(1(4(4(3(x1))))))) -> 0(1(0(1(1(2(0(5(2(3(x1)))))))))) 0(5(1(1(3(4(1(x1))))))) -> 0(2(2(0(2(3(1(5(5(3(x1)))))))))) 1(3(1(0(4(1(0(x1))))))) -> 1(3(3(3(3(0(0(3(1(0(x1)))))))))) 1(3(2(0(1(2(1(x1))))))) -> 5(2(4(2(4(4(2(5(1(3(x1)))))))))) 1(3(5(4(4(1(2(x1))))))) -> 2(0(5(0(2(3(2(2(2(2(x1)))))))))) 1(4(0(0(2(5(0(x1))))))) -> 1(0(3(2(2(2(1(0(5(0(x1)))))))))) 2(0(1(5(1(4(2(x1))))))) -> 2(2(5(5(2(1(2(4(0(5(x1)))))))))) 2(0(4(0(4(3(0(x1))))))) -> 3(1(3(3(4(5(2(3(0(3(x1)))))))))) 3(0(4(1(0(0(0(x1))))))) -> 5(2(3(5(4(5(5(1(3(0(x1)))))))))) 3(0(4(3(0(3(4(x1))))))) -> 3(5(3(1(0(3(2(3(0(4(x1)))))))))) 3(4(0(4(4(2(3(x1))))))) -> 3(2(4(4(5(1(1(4(5(0(x1)))))))))) 3(4(4(1(4(1(1(x1))))))) -> 4(2(0(3(2(1(3(0(0(1(x1)))))))))) 3(5(0(4(1(5(0(x1))))))) -> 2(3(1(0(5(4(3(0(3(3(x1)))))))))) 3(5(0(5(5(5(3(x1))))))) -> 3(3(5(4(0(1(4(5(3(0(x1)))))))))) 4(1(5(2(0(1(5(x1))))))) -> 2(5(4(2(3(3(0(0(0(5(x1)))))))))) 4(3(0(1(2(4(2(x1))))))) -> 4(3(3(1(1(0(3(2(2(5(x1)))))))))) 4(3(4(1(4(4(3(x1))))))) -> 1(4(3(3(3(1(3(1(2(2(x1)))))))))) 5(0(4(2(0(4(2(x1))))))) -> 5(2(2(0(1(5(5(2(4(2(x1)))))))))) 5(0(4(2(5(5(0(x1))))))) -> 0(3(3(1(2(3(0(0(2(3(x1)))))))))) 5(4(1(2(0(4(1(x1))))))) -> 4(5(4(2(2(3(4(5(5(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(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: 5(4(1(x1))) -> 2(5(5(1(1(1(0(2(3(4(x1)))))))))) 4(1(1(3(x1)))) -> 4(4(5(1(4(0(2(0(3(3(x1)))))))))) 4(4(1(3(x1)))) -> 5(1(1(4(5(5(3(3(2(3(x1)))))))))) 0(0(4(1(4(x1))))) -> 3(3(1(1(0(3(1(4(2(4(x1)))))))))) 0(5(0(4(2(x1))))) -> 0(0(3(5(3(3(2(3(4(5(x1)))))))))) 2(4(3(4(0(x1))))) -> 2(5(2(2(5(5(0(3(2(3(x1)))))))))) 4(4(2(3(4(x1))))) -> 2(2(4(5(3(3(1(1(1(4(x1)))))))))) 5(2(4(3(0(x1))))) -> 2(5(5(2(3(2(5(4(0(0(x1)))))))))) 0(0(0(2(0(1(x1)))))) -> 3(3(5(3(1(3(1(4(0(1(x1)))))))))) 1(2(0(1(3(2(x1)))))) -> 2(0(3(2(1(2(3(1(0(3(x1)))))))))) 1(3(5(4(3(5(x1)))))) -> 1(3(3(1(1(5(1(0(1(5(x1)))))))))) 1(4(1(0(1(2(x1)))))) -> 1(0(3(1(5(3(3(4(5(2(x1)))))))))) 3(2(4(3(5(5(x1)))))) -> 3(5(5(5(1(4(4(5(4(5(x1)))))))))) 3(4(3(2(0(5(x1)))))) -> 2(3(3(5(3(3(1(3(3(5(x1)))))))))) 3(5(5(5(0(2(x1)))))) -> 3(3(5(1(0(0(3(3(1(0(x1)))))))))) 5(0(4(3(0(1(x1)))))) -> 0(3(1(2(5(1(1(1(2(1(x1)))))))))) 5(5(4(3(2(4(x1)))))) -> 5(4(2(2(5(2(1(2(3(4(x1)))))))))) 0(0(2(0(5(2(1(x1))))))) -> 0(4(3(5(2(3(5(5(2(1(x1)))))))))) 0(1(3(4(2(1(2(x1))))))) -> 0(1(2(0(3(1(2(5(2(2(x1)))))))))) 0(1(4(1(4(4(3(x1))))))) -> 0(1(0(1(1(2(0(5(2(3(x1)))))))))) 0(5(1(1(3(4(1(x1))))))) -> 0(2(2(0(2(3(1(5(5(3(x1)))))))))) 1(3(1(0(4(1(0(x1))))))) -> 1(3(3(3(3(0(0(3(1(0(x1)))))))))) 1(3(2(0(1(2(1(x1))))))) -> 5(2(4(2(4(4(2(5(1(3(x1)))))))))) 1(3(5(4(4(1(2(x1))))))) -> 2(0(5(0(2(3(2(2(2(2(x1)))))))))) 1(4(0(0(2(5(0(x1))))))) -> 1(0(3(2(2(2(1(0(5(0(x1)))))))))) 2(0(1(5(1(4(2(x1))))))) -> 2(2(5(5(2(1(2(4(0(5(x1)))))))))) 2(0(4(0(4(3(0(x1))))))) -> 3(1(3(3(4(5(2(3(0(3(x1)))))))))) 3(0(4(1(0(0(0(x1))))))) -> 5(2(3(5(4(5(5(1(3(0(x1)))))))))) 3(0(4(3(0(3(4(x1))))))) -> 3(5(3(1(0(3(2(3(0(4(x1)))))))))) 3(4(0(4(4(2(3(x1))))))) -> 3(2(4(4(5(1(1(4(5(0(x1)))))))))) 3(4(4(1(4(1(1(x1))))))) -> 4(2(0(3(2(1(3(0(0(1(x1)))))))))) 3(5(0(4(1(5(0(x1))))))) -> 2(3(1(0(5(4(3(0(3(3(x1)))))))))) 3(5(0(5(5(5(3(x1))))))) -> 3(3(5(4(0(1(4(5(3(0(x1)))))))))) 4(1(5(2(0(1(5(x1))))))) -> 2(5(4(2(3(3(0(0(0(5(x1)))))))))) 4(3(0(1(2(4(2(x1))))))) -> 4(3(3(1(1(0(3(2(2(5(x1)))))))))) 4(3(4(1(4(4(3(x1))))))) -> 1(4(3(3(3(1(3(1(2(2(x1)))))))))) 5(0(4(2(0(4(2(x1))))))) -> 5(2(2(0(1(5(5(2(4(2(x1)))))))))) 5(0(4(2(5(5(0(x1))))))) -> 0(3(3(1(2(3(0(0(2(3(x1)))))))))) 5(4(1(2(0(4(1(x1))))))) -> 4(5(4(2(2(3(4(5(5(3(x1)))))))))) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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)) encode_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(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, 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] {(151,152,[5_1|0, 4_1|0, 0_1|0, 2_1|0, 1_1|0, 3_1|0, encArg_1|0, encode_5_1|0, encode_4_1|0, encode_1_1|0, encode_2_1|0, encode_0_1|0, encode_3_1|0]), (151,153,[5_1|1, 4_1|1, 0_1|1, 2_1|1, 1_1|1, 3_1|1]), (151,154,[2_1|2]), (151,163,[4_1|2]), (151,172,[2_1|2]), (151,181,[0_1|2]), (151,190,[5_1|2]), (151,199,[0_1|2]), (151,208,[5_1|2]), (151,217,[4_1|2]), (151,226,[2_1|2]), (151,235,[5_1|2]), (151,244,[2_1|2]), (151,253,[4_1|2]), (151,262,[1_1|2]), (151,271,[3_1|2]), (151,280,[3_1|2]), (151,289,[0_1|2]), (151,298,[0_1|2]), (151,307,[0_1|2]), (151,316,[0_1|2]), (151,325,[0_1|2]), (151,334,[2_1|2]), (151,343,[2_1|2]), (151,352,[3_1|2]), (151,361,[2_1|2]), (151,370,[1_1|2]), (151,379,[2_1|2]), (151,388,[1_1|2]), (151,397,[5_1|2]), (151,406,[1_1|2]), (151,415,[1_1|2]), (151,424,[3_1|2]), (151,433,[2_1|2]), (151,442,[3_1|2]), (151,451,[4_1|2]), (151,460,[3_1|2]), (151,469,[2_1|2]), (151,478,[3_1|2]), (151,487,[5_1|2]), (151,496,[3_1|2]), (152,152,[cons_5_1|0, cons_4_1|0, cons_0_1|0, cons_2_1|0, cons_1_1|0, cons_3_1|0]), (153,152,[encArg_1|1]), (153,153,[5_1|1, 4_1|1, 0_1|1, 2_1|1, 1_1|1, 3_1|1]), (153,154,[2_1|2]), (153,163,[4_1|2]), (153,172,[2_1|2]), (153,181,[0_1|2]), (153,190,[5_1|2]), (153,199,[0_1|2]), (153,208,[5_1|2]), (153,217,[4_1|2]), (153,226,[2_1|2]), (153,235,[5_1|2]), (153,244,[2_1|2]), (153,253,[4_1|2]), (153,262,[1_1|2]), (153,271,[3_1|2]), (153,280,[3_1|2]), (153,289,[0_1|2]), (153,298,[0_1|2]), (153,307,[0_1|2]), (153,316,[0_1|2]), (153,325,[0_1|2]), (153,334,[2_1|2]), (153,343,[2_1|2]), (153,352,[3_1|2]), (153,361,[2_1|2]), (153,370,[1_1|2]), (153,379,[2_1|2]), (153,388,[1_1|2]), (153,397,[5_1|2]), (153,406,[1_1|2]), (153,415,[1_1|2]), (153,424,[3_1|2]), (153,433,[2_1|2]), (153,442,[3_1|2]), (153,451,[4_1|2]), (153,460,[3_1|2]), (153,469,[2_1|2]), (153,478,[3_1|2]), (153,487,[5_1|2]), (153,496,[3_1|2]), (154,155,[5_1|2]), (155,156,[5_1|2]), (156,157,[1_1|2]), (157,158,[1_1|2]), (158,159,[1_1|2]), (159,160,[0_1|2]), (160,161,[2_1|2]), (161,162,[3_1|2]), (161,433,[2_1|2]), (161,442,[3_1|2]), (161,451,[4_1|2]), (162,153,[4_1|2]), (162,262,[4_1|2, 1_1|2]), (162,370,[4_1|2]), (162,388,[4_1|2]), (162,406,[4_1|2]), 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(369,487,[5_1|2]), (369,496,[3_1|2]), (370,371,[3_1|2]), (371,372,[3_1|2]), (372,373,[1_1|2]), (373,374,[1_1|2]), (374,375,[5_1|2]), (375,376,[1_1|2]), (376,377,[0_1|2]), (377,378,[1_1|2]), (378,153,[5_1|2]), (378,190,[5_1|2]), (378,208,[5_1|2]), (378,235,[5_1|2]), (378,397,[5_1|2]), (378,487,[5_1|2]), (378,425,[5_1|2]), (378,497,[5_1|2]), (378,154,[2_1|2]), (378,163,[4_1|2]), (378,172,[2_1|2]), (378,181,[0_1|2]), (378,199,[0_1|2]), (379,380,[0_1|2]), (380,381,[5_1|2]), (381,382,[0_1|2]), (382,383,[2_1|2]), (383,384,[3_1|2]), (384,385,[2_1|2]), (385,386,[2_1|2]), (386,387,[2_1|2]), (387,153,[2_1|2]), (387,154,[2_1|2]), (387,172,[2_1|2]), (387,226,[2_1|2]), (387,244,[2_1|2]), (387,334,[2_1|2]), (387,343,[2_1|2]), (387,361,[2_1|2]), (387,379,[2_1|2]), (387,433,[2_1|2]), (387,469,[2_1|2]), (387,352,[3_1|2]), (388,389,[3_1|2]), (389,390,[3_1|2]), (390,391,[3_1|2]), (391,392,[3_1|2]), (392,393,[0_1|2]), (393,394,[0_1|2]), (394,395,[3_1|2]), (395,396,[1_1|2]), (396,153,[0_1|2]), 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(414,334,[2_1|2]), (414,343,[2_1|2]), (414,361,[2_1|2]), (414,379,[2_1|2]), (414,433,[2_1|2]), (414,469,[2_1|2]), (414,318,[2_1|2]), (414,352,[3_1|2]), (415,416,[0_1|2]), (416,417,[3_1|2]), (417,418,[2_1|2]), (418,419,[2_1|2]), (419,420,[2_1|2]), (420,421,[1_1|2]), (421,422,[0_1|2]), (421,298,[0_1|2]), (421,505,[0_1|3]), (422,423,[5_1|2]), (422,181,[0_1|2]), (422,190,[5_1|2]), (422,199,[0_1|2]), (423,153,[0_1|2]), (423,181,[0_1|2]), (423,199,[0_1|2]), (423,289,[0_1|2]), (423,298,[0_1|2]), (423,307,[0_1|2]), (423,316,[0_1|2]), (423,325,[0_1|2]), (423,271,[3_1|2]), (423,280,[3_1|2]), (424,425,[5_1|2]), (425,426,[5_1|2]), (426,427,[5_1|2]), (427,428,[1_1|2]), (428,429,[4_1|2]), (429,430,[4_1|2]), (430,431,[5_1|2]), (431,432,[4_1|2]), (432,153,[5_1|2]), (432,190,[5_1|2]), (432,208,[5_1|2]), (432,235,[5_1|2]), (432,397,[5_1|2]), (432,487,[5_1|2]), (432,426,[5_1|2]), (432,154,[2_1|2]), (432,163,[4_1|2]), (432,172,[2_1|2]), (432,181,[0_1|2]), (432,199,[0_1|2]), (433,434,[3_1|2]), (434,435,[3_1|2]), (435,436,[5_1|2]), (436,437,[3_1|2]), (437,438,[3_1|2]), (438,439,[1_1|2]), (439,440,[3_1|2]), (440,441,[3_1|2]), (440,460,[3_1|2]), (440,469,[2_1|2]), (440,478,[3_1|2]), (441,153,[5_1|2]), (441,190,[5_1|2]), (441,208,[5_1|2]), (441,235,[5_1|2]), (441,397,[5_1|2]), (441,487,[5_1|2]), (441,381,[5_1|2]), (441,154,[2_1|2]), (441,163,[4_1|2]), (441,172,[2_1|2]), (441,181,[0_1|2]), (441,199,[0_1|2]), (442,443,[2_1|2]), (443,444,[4_1|2]), (444,445,[4_1|2]), (445,446,[5_1|2]), (446,447,[1_1|2]), (447,448,[1_1|2]), (448,449,[4_1|2]), (449,450,[5_1|2]), (449,181,[0_1|2]), (449,190,[5_1|2]), (449,199,[0_1|2]), (450,153,[0_1|2]), (450,271,[0_1|2, 3_1|2]), (450,280,[0_1|2, 3_1|2]), (450,352,[0_1|2]), (450,424,[0_1|2]), (450,442,[0_1|2]), (450,460,[0_1|2]), (450,478,[0_1|2]), (450,496,[0_1|2]), (450,434,[0_1|2]), (450,470,[0_1|2]), (450,289,[0_1|2]), (450,298,[0_1|2]), (450,307,[0_1|2]), (450,316,[0_1|2]), (450,325,[0_1|2]), (451,452,[2_1|2]), (452,453,[0_1|2]), (453,454,[3_1|2]), (454,455,[2_1|2]), (455,456,[1_1|2]), (456,457,[3_1|2]), (457,458,[0_1|2]), (458,459,[0_1|2]), (458,316,[0_1|2]), (458,325,[0_1|2]), (459,153,[1_1|2]), (459,262,[1_1|2]), (459,370,[1_1|2]), (459,388,[1_1|2]), (459,406,[1_1|2]), (459,415,[1_1|2]), (459,361,[2_1|2]), (459,379,[2_1|2]), (459,397,[5_1|2]), (460,461,[3_1|2]), (461,462,[5_1|2]), (462,463,[1_1|2]), (463,464,[0_1|2]), (464,465,[0_1|2]), (465,466,[3_1|2]), (466,467,[3_1|2]), (467,468,[1_1|2]), (468,153,[0_1|2]), (468,154,[0_1|2]), (468,172,[0_1|2]), (468,226,[0_1|2]), (468,244,[0_1|2]), (468,334,[0_1|2]), (468,343,[0_1|2]), (468,361,[0_1|2]), (468,379,[0_1|2]), (468,433,[0_1|2]), (468,469,[0_1|2]), (468,308,[0_1|2]), (468,271,[3_1|2]), (468,280,[3_1|2]), (468,289,[0_1|2]), (468,298,[0_1|2]), (468,307,[0_1|2]), (468,316,[0_1|2]), (468,325,[0_1|2]), (469,470,[3_1|2]), (470,471,[1_1|2]), (471,472,[0_1|2]), (472,473,[5_1|2]), (473,474,[4_1|2]), (474,475,[3_1|2]), (475,476,[0_1|2]), (476,477,[3_1|2]), (477,153,[3_1|2]), (477,181,[3_1|2]), (477,199,[3_1|2]), (477,289,[3_1|2]), (477,298,[3_1|2]), (477,307,[3_1|2]), (477,316,[3_1|2]), (477,325,[3_1|2]), (477,424,[3_1|2]), (477,433,[2_1|2]), (477,442,[3_1|2]), (477,451,[4_1|2]), (477,460,[3_1|2]), (477,469,[2_1|2]), (477,478,[3_1|2]), (477,487,[5_1|2]), (477,496,[3_1|2]), (478,479,[3_1|2]), (479,480,[5_1|2]), (480,481,[4_1|2]), (481,482,[0_1|2]), (482,483,[1_1|2]), (483,484,[4_1|2]), (484,485,[5_1|2]), (485,486,[3_1|2]), (485,487,[5_1|2]), (485,496,[3_1|2]), (486,153,[0_1|2]), (486,271,[0_1|2, 3_1|2]), (486,280,[0_1|2, 3_1|2]), (486,352,[0_1|2]), (486,424,[0_1|2]), (486,442,[0_1|2]), (486,460,[0_1|2]), (486,478,[0_1|2]), (486,496,[0_1|2]), (486,289,[0_1|2]), (486,298,[0_1|2]), (486,307,[0_1|2]), (486,316,[0_1|2]), (486,325,[0_1|2]), (487,488,[2_1|2]), (488,489,[3_1|2]), (489,490,[5_1|2]), (490,491,[4_1|2]), (491,492,[5_1|2]), (492,493,[5_1|2]), (493,494,[1_1|2]), (494,495,[3_1|2]), (494,487,[5_1|2]), (494,496,[3_1|2]), (495,153,[0_1|2]), (495,181,[0_1|2]), (495,199,[0_1|2]), (495,289,[0_1|2]), (495,298,[0_1|2]), (495,307,[0_1|2]), (495,316,[0_1|2]), (495,325,[0_1|2]), (495,299,[0_1|2]), (495,271,[3_1|2]), (495,280,[3_1|2]), (496,497,[5_1|2]), (497,498,[3_1|2]), (498,499,[1_1|2]), (499,500,[0_1|2]), (500,501,[3_1|2]), (501,502,[2_1|2]), (502,503,[3_1|2]), (502,487,[5_1|2]), (502,496,[3_1|2]), (503,504,[0_1|2]), (504,153,[4_1|2]), (504,163,[4_1|2]), (504,217,[4_1|2]), (504,253,[4_1|2]), (504,451,[4_1|2]), (504,226,[2_1|2]), (504,235,[5_1|2]), (504,244,[2_1|2]), (504,262,[1_1|2]), (505,506,[0_1|3]), (506,507,[3_1|3]), (507,508,[5_1|3]), (508,509,[3_1|3]), (509,510,[3_1|3]), (510,511,[2_1|3]), (511,512,[3_1|3]), (512,513,[4_1|3]), (513,452,[5_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)