/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 71 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 100 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 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: FULL ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_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 (full) 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: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 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: FULL ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 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: FULL ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. The certificate found is represented by the following graph. "[150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512] {(150,151,[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]), (150,152,[5_1|1, 4_1|1, 0_1|1, 2_1|1, 1_1|1, 3_1|1]), (150,153,[2_1|2]), (150,162,[4_1|2]), (150,171,[2_1|2]), (150,180,[0_1|2]), (150,189,[5_1|2]), (150,198,[0_1|2]), (150,207,[5_1|2]), (150,216,[4_1|2]), (150,225,[2_1|2]), (150,234,[5_1|2]), (150,243,[2_1|2]), (150,252,[4_1|2]), (150,261,[1_1|2]), (150,270,[3_1|2]), (150,279,[3_1|2]), (150,288,[0_1|2]), (150,297,[0_1|2]), (150,306,[0_1|2]), (150,315,[0_1|2]), (150,324,[0_1|2]), (150,333,[2_1|2]), (150,342,[2_1|2]), (150,351,[3_1|2]), (150,360,[2_1|2]), (150,369,[1_1|2]), (150,378,[2_1|2]), (150,387,[1_1|2]), (150,396,[5_1|2]), (150,405,[1_1|2]), (150,414,[1_1|2]), (150,423,[3_1|2]), (150,432,[2_1|2]), (150,441,[3_1|2]), (150,450,[4_1|2]), (150,459,[3_1|2]), (150,468,[2_1|2]), (150,477,[3_1|2]), (150,486,[5_1|2]), (150,495,[3_1|2]), (151,151,[cons_5_1|0, cons_4_1|0, cons_0_1|0, cons_2_1|0, cons_1_1|0, cons_3_1|0]), (152,151,[encArg_1|1]), (152,152,[5_1|1, 4_1|1, 0_1|1, 2_1|1, 1_1|1, 3_1|1]), (152,153,[2_1|2]), (152,162,[4_1|2]), (152,171,[2_1|2]), (152,180,[0_1|2]), (152,189,[5_1|2]), (152,198,[0_1|2]), (152,207,[5_1|2]), (152,216,[4_1|2]), (152,225,[2_1|2]), (152,234,[5_1|2]), (152,243,[2_1|2]), (152,252,[4_1|2]), (152,261,[1_1|2]), (152,270,[3_1|2]), (152,279,[3_1|2]), (152,288,[0_1|2]), (152,297,[0_1|2]), (152,306,[0_1|2]), (152,315,[0_1|2]), (152,324,[0_1|2]), (152,333,[2_1|2]), (152,342,[2_1|2]), (152,351,[3_1|2]), (152,360,[2_1|2]), (152,369,[1_1|2]), (152,378,[2_1|2]), (152,387,[1_1|2]), (152,396,[5_1|2]), (152,405,[1_1|2]), (152,414,[1_1|2]), (152,423,[3_1|2]), (152,432,[2_1|2]), (152,441,[3_1|2]), (152,450,[4_1|2]), (152,459,[3_1|2]), (152,468,[2_1|2]), (152,477,[3_1|2]), (152,486,[5_1|2]), (152,495,[3_1|2]), (153,154,[5_1|2]), (154,155,[5_1|2]), (155,156,[1_1|2]), (156,157,[1_1|2]), (157,158,[1_1|2]), (158,159,[0_1|2]), (159,160,[2_1|2]), (160,161,[3_1|2]), (160,432,[2_1|2]), (160,441,[3_1|2]), (160,450,[4_1|2]), (161,152,[4_1|2]), (161,261,[4_1|2, 1_1|2]), (161,369,[4_1|2]), (161,387,[4_1|2]), (161,405,[4_1|2]), 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(368,486,[5_1|2]), (368,495,[3_1|2]), (369,370,[3_1|2]), (370,371,[3_1|2]), (371,372,[1_1|2]), (372,373,[1_1|2]), (373,374,[5_1|2]), (374,375,[1_1|2]), (375,376,[0_1|2]), (376,377,[1_1|2]), (377,152,[5_1|2]), (377,189,[5_1|2]), (377,207,[5_1|2]), (377,234,[5_1|2]), (377,396,[5_1|2]), (377,486,[5_1|2]), (377,424,[5_1|2]), (377,496,[5_1|2]), (377,153,[2_1|2]), (377,162,[4_1|2]), (377,171,[2_1|2]), (377,180,[0_1|2]), (377,198,[0_1|2]), (378,379,[0_1|2]), (379,380,[5_1|2]), (380,381,[0_1|2]), (381,382,[2_1|2]), (382,383,[3_1|2]), (383,384,[2_1|2]), (384,385,[2_1|2]), (385,386,[2_1|2]), (386,152,[2_1|2]), (386,153,[2_1|2]), (386,171,[2_1|2]), (386,225,[2_1|2]), (386,243,[2_1|2]), (386,333,[2_1|2]), (386,342,[2_1|2]), (386,360,[2_1|2]), (386,378,[2_1|2]), (386,432,[2_1|2]), (386,468,[2_1|2]), (386,351,[3_1|2]), (387,388,[3_1|2]), (388,389,[3_1|2]), (389,390,[3_1|2]), (390,391,[3_1|2]), (391,392,[0_1|2]), (392,393,[0_1|2]), (393,394,[3_1|2]), (394,395,[1_1|2]), (395,152,[0_1|2]), 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(413,333,[2_1|2]), (413,342,[2_1|2]), (413,360,[2_1|2]), (413,378,[2_1|2]), (413,432,[2_1|2]), (413,468,[2_1|2]), (413,317,[2_1|2]), (413,351,[3_1|2]), (414,415,[0_1|2]), (415,416,[3_1|2]), (416,417,[2_1|2]), (417,418,[2_1|2]), (418,419,[2_1|2]), (419,420,[1_1|2]), (420,421,[0_1|2]), (420,297,[0_1|2]), (420,504,[0_1|3]), (421,422,[5_1|2]), (421,180,[0_1|2]), (421,189,[5_1|2]), (421,198,[0_1|2]), (422,152,[0_1|2]), (422,180,[0_1|2]), (422,198,[0_1|2]), (422,288,[0_1|2]), (422,297,[0_1|2]), (422,306,[0_1|2]), (422,315,[0_1|2]), (422,324,[0_1|2]), (422,270,[3_1|2]), (422,279,[3_1|2]), (423,424,[5_1|2]), (424,425,[5_1|2]), (425,426,[5_1|2]), (426,427,[1_1|2]), (427,428,[4_1|2]), (428,429,[4_1|2]), (429,430,[5_1|2]), (430,431,[4_1|2]), (431,152,[5_1|2]), (431,189,[5_1|2]), (431,207,[5_1|2]), (431,234,[5_1|2]), (431,396,[5_1|2]), (431,486,[5_1|2]), (431,425,[5_1|2]), (431,153,[2_1|2]), (431,162,[4_1|2]), (431,171,[2_1|2]), (431,180,[0_1|2]), (431,198,[0_1|2]), (432,433,[3_1|2]), (433,434,[3_1|2]), (434,435,[5_1|2]), (435,436,[3_1|2]), (436,437,[3_1|2]), (437,438,[1_1|2]), (438,439,[3_1|2]), (439,440,[3_1|2]), (439,459,[3_1|2]), (439,468,[2_1|2]), (439,477,[3_1|2]), (440,152,[5_1|2]), (440,189,[5_1|2]), (440,207,[5_1|2]), (440,234,[5_1|2]), (440,396,[5_1|2]), (440,486,[5_1|2]), (440,380,[5_1|2]), (440,153,[2_1|2]), (440,162,[4_1|2]), (440,171,[2_1|2]), (440,180,[0_1|2]), (440,198,[0_1|2]), (441,442,[2_1|2]), (442,443,[4_1|2]), (443,444,[4_1|2]), (444,445,[5_1|2]), (445,446,[1_1|2]), (446,447,[1_1|2]), (447,448,[4_1|2]), (448,449,[5_1|2]), (448,180,[0_1|2]), (448,189,[5_1|2]), (448,198,[0_1|2]), (449,152,[0_1|2]), (449,270,[0_1|2, 3_1|2]), (449,279,[0_1|2, 3_1|2]), (449,351,[0_1|2]), (449,423,[0_1|2]), (449,441,[0_1|2]), (449,459,[0_1|2]), (449,477,[0_1|2]), (449,495,[0_1|2]), (449,433,[0_1|2]), (449,469,[0_1|2]), (449,288,[0_1|2]), (449,297,[0_1|2]), (449,306,[0_1|2]), (449,315,[0_1|2]), (449,324,[0_1|2]), (450,451,[2_1|2]), (451,452,[0_1|2]), (452,453,[3_1|2]), (453,454,[2_1|2]), (454,455,[1_1|2]), (455,456,[3_1|2]), (456,457,[0_1|2]), (457,458,[0_1|2]), (457,315,[0_1|2]), (457,324,[0_1|2]), (458,152,[1_1|2]), (458,261,[1_1|2]), (458,369,[1_1|2]), (458,387,[1_1|2]), (458,405,[1_1|2]), (458,414,[1_1|2]), (458,360,[2_1|2]), (458,378,[2_1|2]), (458,396,[5_1|2]), (459,460,[3_1|2]), (460,461,[5_1|2]), (461,462,[1_1|2]), (462,463,[0_1|2]), (463,464,[0_1|2]), (464,465,[3_1|2]), (465,466,[3_1|2]), (466,467,[1_1|2]), (467,152,[0_1|2]), (467,153,[0_1|2]), (467,171,[0_1|2]), (467,225,[0_1|2]), (467,243,[0_1|2]), (467,333,[0_1|2]), (467,342,[0_1|2]), (467,360,[0_1|2]), (467,378,[0_1|2]), (467,432,[0_1|2]), (467,468,[0_1|2]), (467,307,[0_1|2]), (467,270,[3_1|2]), (467,279,[3_1|2]), (467,288,[0_1|2]), (467,297,[0_1|2]), (467,306,[0_1|2]), (467,315,[0_1|2]), (467,324,[0_1|2]), (468,469,[3_1|2]), (469,470,[1_1|2]), (470,471,[0_1|2]), (471,472,[5_1|2]), (472,473,[4_1|2]), (473,474,[3_1|2]), (474,475,[0_1|2]), (475,476,[3_1|2]), (476,152,[3_1|2]), (476,180,[3_1|2]), (476,198,[3_1|2]), (476,288,[3_1|2]), (476,297,[3_1|2]), (476,306,[3_1|2]), (476,315,[3_1|2]), (476,324,[3_1|2]), (476,423,[3_1|2]), (476,432,[2_1|2]), (476,441,[3_1|2]), (476,450,[4_1|2]), (476,459,[3_1|2]), (476,468,[2_1|2]), (476,477,[3_1|2]), (476,486,[5_1|2]), (476,495,[3_1|2]), (477,478,[3_1|2]), (478,479,[5_1|2]), (479,480,[4_1|2]), (480,481,[0_1|2]), (481,482,[1_1|2]), (482,483,[4_1|2]), (483,484,[5_1|2]), (484,485,[3_1|2]), (484,486,[5_1|2]), (484,495,[3_1|2]), (485,152,[0_1|2]), (485,270,[0_1|2, 3_1|2]), (485,279,[0_1|2, 3_1|2]), (485,351,[0_1|2]), (485,423,[0_1|2]), (485,441,[0_1|2]), (485,459,[0_1|2]), (485,477,[0_1|2]), (485,495,[0_1|2]), (485,288,[0_1|2]), (485,297,[0_1|2]), (485,306,[0_1|2]), (485,315,[0_1|2]), (485,324,[0_1|2]), (486,487,[2_1|2]), (487,488,[3_1|2]), (488,489,[5_1|2]), (489,490,[4_1|2]), (490,491,[5_1|2]), (491,492,[5_1|2]), (492,493,[1_1|2]), (493,494,[3_1|2]), (493,486,[5_1|2]), (493,495,[3_1|2]), (494,152,[0_1|2]), (494,180,[0_1|2]), (494,198,[0_1|2]), (494,288,[0_1|2]), (494,297,[0_1|2]), (494,306,[0_1|2]), (494,315,[0_1|2]), (494,324,[0_1|2]), (494,298,[0_1|2]), (494,270,[3_1|2]), (494,279,[3_1|2]), (495,496,[5_1|2]), (496,497,[3_1|2]), (497,498,[1_1|2]), (498,499,[0_1|2]), (499,500,[3_1|2]), (500,501,[2_1|2]), (501,502,[3_1|2]), (501,486,[5_1|2]), (501,495,[3_1|2]), (502,503,[0_1|2]), (503,152,[4_1|2]), (503,162,[4_1|2]), (503,216,[4_1|2]), (503,252,[4_1|2]), (503,450,[4_1|2]), (503,225,[2_1|2]), (503,234,[5_1|2]), (503,243,[2_1|2]), (503,261,[1_1|2]), (504,505,[0_1|3]), (505,506,[3_1|3]), (506,507,[5_1|3]), (507,508,[3_1|3]), (508,509,[3_1|3]), (509,510,[2_1|3]), (510,511,[3_1|3]), (511,512,[4_1|3]), (512,451,[5_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)