/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 54 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 44 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(0(x1))) -> 0(2(2(1(1(3(0(4(3(0(x1)))))))))) 4(1(4(0(x1)))) -> 4(0(2(2(1(1(0(0(5(2(x1)))))))))) 5(4(4(5(x1)))) -> 1(1(2(3(2(0(3(1(2(0(x1)))))))))) 0(3(4(0(4(x1))))) -> 2(0(2(1(3(0(4(2(3(4(x1)))))))))) 0(3(4(5(4(x1))))) -> 1(0(1(2(4(2(3(1(2(4(x1)))))))))) 1(1(5(5(4(x1))))) -> 1(3(0(0(0(2(3(3(4(1(x1)))))))))) 1(4(5(5(4(x1))))) -> 2(0(1(0(2(3(4(2(5(1(x1)))))))))) 2(5(4(5(0(x1))))) -> 1(1(2(4(2(0(2(0(5(0(x1)))))))))) 3(1(5(1(1(x1))))) -> 3(5(0(5(3(1(2(5(5(1(x1)))))))))) 4(0(0(4(5(x1))))) -> 3(3(2(0(0(1(4(3(3(5(x1)))))))))) 4(1(4(2(0(x1))))) -> 0(4(2(1(3(1(0(3(3(0(x1)))))))))) 5(4(1(4(1(x1))))) -> 0(1(0(2(0(1(2(4(4(2(x1)))))))))) 0(3(4(1(0(4(x1)))))) -> 2(4(1(4(3(3(3(0(0(4(x1)))))))))) 0(3(4(5(1(3(x1)))))) -> 4(4(4(3(1(3(3(3(0(3(x1)))))))))) 0(4(0(5(1(4(x1)))))) -> 0(0(3(3(1(2(0(3(2(4(x1)))))))))) 1(3(2(5(4(0(x1)))))) -> 3(0(4(0(0(4(3(1(4(0(x1)))))))))) 1(3(5(4(5(4(x1)))))) -> 2(3(2(0(1(2(5(2(1(5(x1)))))))))) 1(4(2(1(4(0(x1)))))) -> 0(3(3(0(2(0(3(2(0(5(x1)))))))))) 1(5(3(4(1(3(x1)))))) -> 1(1(3(1(1(2(0(1(2(3(x1)))))))))) 1(5(4(5(0(4(x1)))))) -> 4(3(2(3(2(0(1(3(4(0(x1)))))))))) 1(5(5(4(1(3(x1)))))) -> 3(5(1(3(2(1(1(4(3(3(x1)))))))))) 2(3(5(4(5(1(x1)))))) -> 5(4(3(5(5(5(1(2(5(1(x1)))))))))) 3(4(5(3(5(0(x1)))))) -> 3(4(3(3(2(3(5(3(3(0(x1)))))))))) 5(4(5(4(4(5(x1)))))) -> 1(0(3(2(0(3(3(4(4(5(x1)))))))))) 0(2(5(2(4(0(4(x1))))))) -> 4(3(0(1(2(1(0(2(0(1(x1)))))))))) 1(1(5(5(4(0(5(x1))))))) -> 4(2(2(2(1(1(4(2(4(2(x1)))))))))) 1(4(0(3(1(4(1(x1))))))) -> 0(4(1(3(3(3(4(2(2(0(x1)))))))))) 1(4(1(0(4(0(3(x1))))))) -> 2(4(4(3(3(2(4(0(2(3(x1)))))))))) 1(4(4(5(1(0(2(x1))))))) -> 2(3(0(1(4(0(1(4(2(3(x1)))))))))) 1(4(4(5(4(2(4(x1))))))) -> 1(0(0(1(5(1(2(1(5(4(x1)))))))))) 1(5(4(1(1(3(3(x1))))))) -> 0(5(3(2(0(1(3(3(2(3(x1)))))))))) 1(5(4(4(1(4(5(x1))))))) -> 2(3(2(0(2(5(3(4(3(5(x1)))))))))) 2(0(2(5(4(5(1(x1))))))) -> 0(0(5(3(0(2(1(2(4(0(x1)))))))))) 2(3(5(4(4(0(5(x1))))))) -> 2(5(1(3(0(2(3(0(2(5(x1)))))))))) 2(4(2(4(4(1(3(x1))))))) -> 0(3(2(2(1(0(1(1(0(3(x1)))))))))) 2(5(4(4(5(4(1(x1))))))) -> 2(2(1(2(4(5(3(2(4(2(x1)))))))))) 3(5(4(1(4(1(5(x1))))))) -> 3(1(5(2(5(3(2(5(2(5(x1)))))))))) 4(2(4(4(4(5(4(x1))))))) -> 4(3(3(4(1(0(4(5(5(4(x1)))))))))) 4(5(4(0(4(4(0(x1))))))) -> 0(3(1(3(4(0(0(5(5(5(x1)))))))))) 5(4(0(3(2(3(5(x1))))))) -> 1(0(3(2(1(0(1(2(3(5(x1)))))))))) 5(4(0(3(2(5(0(x1))))))) -> 2(4(3(2(4(1(1(0(5(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_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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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_0(x_1) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_1(x_1) -> 1(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(0(x1))) -> 0(2(2(1(1(3(0(4(3(0(x1)))))))))) 4(1(4(0(x1)))) -> 4(0(2(2(1(1(0(0(5(2(x1)))))))))) 5(4(4(5(x1)))) -> 1(1(2(3(2(0(3(1(2(0(x1)))))))))) 0(3(4(0(4(x1))))) -> 2(0(2(1(3(0(4(2(3(4(x1)))))))))) 0(3(4(5(4(x1))))) -> 1(0(1(2(4(2(3(1(2(4(x1)))))))))) 1(1(5(5(4(x1))))) -> 1(3(0(0(0(2(3(3(4(1(x1)))))))))) 1(4(5(5(4(x1))))) -> 2(0(1(0(2(3(4(2(5(1(x1)))))))))) 2(5(4(5(0(x1))))) -> 1(1(2(4(2(0(2(0(5(0(x1)))))))))) 3(1(5(1(1(x1))))) -> 3(5(0(5(3(1(2(5(5(1(x1)))))))))) 4(0(0(4(5(x1))))) -> 3(3(2(0(0(1(4(3(3(5(x1)))))))))) 4(1(4(2(0(x1))))) -> 0(4(2(1(3(1(0(3(3(0(x1)))))))))) 5(4(1(4(1(x1))))) -> 0(1(0(2(0(1(2(4(4(2(x1)))))))))) 0(3(4(1(0(4(x1)))))) -> 2(4(1(4(3(3(3(0(0(4(x1)))))))))) 0(3(4(5(1(3(x1)))))) -> 4(4(4(3(1(3(3(3(0(3(x1)))))))))) 0(4(0(5(1(4(x1)))))) -> 0(0(3(3(1(2(0(3(2(4(x1)))))))))) 1(3(2(5(4(0(x1)))))) -> 3(0(4(0(0(4(3(1(4(0(x1)))))))))) 1(3(5(4(5(4(x1)))))) -> 2(3(2(0(1(2(5(2(1(5(x1)))))))))) 1(4(2(1(4(0(x1)))))) -> 0(3(3(0(2(0(3(2(0(5(x1)))))))))) 1(5(3(4(1(3(x1)))))) -> 1(1(3(1(1(2(0(1(2(3(x1)))))))))) 1(5(4(5(0(4(x1)))))) -> 4(3(2(3(2(0(1(3(4(0(x1)))))))))) 1(5(5(4(1(3(x1)))))) -> 3(5(1(3(2(1(1(4(3(3(x1)))))))))) 2(3(5(4(5(1(x1)))))) -> 5(4(3(5(5(5(1(2(5(1(x1)))))))))) 3(4(5(3(5(0(x1)))))) -> 3(4(3(3(2(3(5(3(3(0(x1)))))))))) 5(4(5(4(4(5(x1)))))) -> 1(0(3(2(0(3(3(4(4(5(x1)))))))))) 0(2(5(2(4(0(4(x1))))))) -> 4(3(0(1(2(1(0(2(0(1(x1)))))))))) 1(1(5(5(4(0(5(x1))))))) -> 4(2(2(2(1(1(4(2(4(2(x1)))))))))) 1(4(0(3(1(4(1(x1))))))) -> 0(4(1(3(3(3(4(2(2(0(x1)))))))))) 1(4(1(0(4(0(3(x1))))))) -> 2(4(4(3(3(2(4(0(2(3(x1)))))))))) 1(4(4(5(1(0(2(x1))))))) -> 2(3(0(1(4(0(1(4(2(3(x1)))))))))) 1(4(4(5(4(2(4(x1))))))) -> 1(0(0(1(5(1(2(1(5(4(x1)))))))))) 1(5(4(1(1(3(3(x1))))))) -> 0(5(3(2(0(1(3(3(2(3(x1)))))))))) 1(5(4(4(1(4(5(x1))))))) -> 2(3(2(0(2(5(3(4(3(5(x1)))))))))) 2(0(2(5(4(5(1(x1))))))) -> 0(0(5(3(0(2(1(2(4(0(x1)))))))))) 2(3(5(4(4(0(5(x1))))))) -> 2(5(1(3(0(2(3(0(2(5(x1)))))))))) 2(4(2(4(4(1(3(x1))))))) -> 0(3(2(2(1(0(1(1(0(3(x1)))))))))) 2(5(4(4(5(4(1(x1))))))) -> 2(2(1(2(4(5(3(2(4(2(x1)))))))))) 3(5(4(1(4(1(5(x1))))))) -> 3(1(5(2(5(3(2(5(2(5(x1)))))))))) 4(2(4(4(4(5(4(x1))))))) -> 4(3(3(4(1(0(4(5(5(4(x1)))))))))) 4(5(4(0(4(4(0(x1))))))) -> 0(3(1(3(4(0(0(5(5(5(x1)))))))))) 5(4(0(3(2(3(5(x1))))))) -> 1(0(3(2(1(0(1(2(3(5(x1)))))))))) 5(4(0(3(2(5(0(x1))))))) -> 2(4(3(2(4(1(1(0(5(5(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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_0(x_1) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_1(x_1) -> 1(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(0(x1))) -> 0(2(2(1(1(3(0(4(3(0(x1)))))))))) 4(1(4(0(x1)))) -> 4(0(2(2(1(1(0(0(5(2(x1)))))))))) 5(4(4(5(x1)))) -> 1(1(2(3(2(0(3(1(2(0(x1)))))))))) 0(3(4(0(4(x1))))) -> 2(0(2(1(3(0(4(2(3(4(x1)))))))))) 0(3(4(5(4(x1))))) -> 1(0(1(2(4(2(3(1(2(4(x1)))))))))) 1(1(5(5(4(x1))))) -> 1(3(0(0(0(2(3(3(4(1(x1)))))))))) 1(4(5(5(4(x1))))) -> 2(0(1(0(2(3(4(2(5(1(x1)))))))))) 2(5(4(5(0(x1))))) -> 1(1(2(4(2(0(2(0(5(0(x1)))))))))) 3(1(5(1(1(x1))))) -> 3(5(0(5(3(1(2(5(5(1(x1)))))))))) 4(0(0(4(5(x1))))) -> 3(3(2(0(0(1(4(3(3(5(x1)))))))))) 4(1(4(2(0(x1))))) -> 0(4(2(1(3(1(0(3(3(0(x1)))))))))) 5(4(1(4(1(x1))))) -> 0(1(0(2(0(1(2(4(4(2(x1)))))))))) 0(3(4(1(0(4(x1)))))) -> 2(4(1(4(3(3(3(0(0(4(x1)))))))))) 0(3(4(5(1(3(x1)))))) -> 4(4(4(3(1(3(3(3(0(3(x1)))))))))) 0(4(0(5(1(4(x1)))))) -> 0(0(3(3(1(2(0(3(2(4(x1)))))))))) 1(3(2(5(4(0(x1)))))) -> 3(0(4(0(0(4(3(1(4(0(x1)))))))))) 1(3(5(4(5(4(x1)))))) -> 2(3(2(0(1(2(5(2(1(5(x1)))))))))) 1(4(2(1(4(0(x1)))))) -> 0(3(3(0(2(0(3(2(0(5(x1)))))))))) 1(5(3(4(1(3(x1)))))) -> 1(1(3(1(1(2(0(1(2(3(x1)))))))))) 1(5(4(5(0(4(x1)))))) -> 4(3(2(3(2(0(1(3(4(0(x1)))))))))) 1(5(5(4(1(3(x1)))))) -> 3(5(1(3(2(1(1(4(3(3(x1)))))))))) 2(3(5(4(5(1(x1)))))) -> 5(4(3(5(5(5(1(2(5(1(x1)))))))))) 3(4(5(3(5(0(x1)))))) -> 3(4(3(3(2(3(5(3(3(0(x1)))))))))) 5(4(5(4(4(5(x1)))))) -> 1(0(3(2(0(3(3(4(4(5(x1)))))))))) 0(2(5(2(4(0(4(x1))))))) -> 4(3(0(1(2(1(0(2(0(1(x1)))))))))) 1(1(5(5(4(0(5(x1))))))) -> 4(2(2(2(1(1(4(2(4(2(x1)))))))))) 1(4(0(3(1(4(1(x1))))))) -> 0(4(1(3(3(3(4(2(2(0(x1)))))))))) 1(4(1(0(4(0(3(x1))))))) -> 2(4(4(3(3(2(4(0(2(3(x1)))))))))) 1(4(4(5(1(0(2(x1))))))) -> 2(3(0(1(4(0(1(4(2(3(x1)))))))))) 1(4(4(5(4(2(4(x1))))))) -> 1(0(0(1(5(1(2(1(5(4(x1)))))))))) 1(5(4(1(1(3(3(x1))))))) -> 0(5(3(2(0(1(3(3(2(3(x1)))))))))) 1(5(4(4(1(4(5(x1))))))) -> 2(3(2(0(2(5(3(4(3(5(x1)))))))))) 2(0(2(5(4(5(1(x1))))))) -> 0(0(5(3(0(2(1(2(4(0(x1)))))))))) 2(3(5(4(4(0(5(x1))))))) -> 2(5(1(3(0(2(3(0(2(5(x1)))))))))) 2(4(2(4(4(1(3(x1))))))) -> 0(3(2(2(1(0(1(1(0(3(x1)))))))))) 2(5(4(4(5(4(1(x1))))))) -> 2(2(1(2(4(5(3(2(4(2(x1)))))))))) 3(5(4(1(4(1(5(x1))))))) -> 3(1(5(2(5(3(2(5(2(5(x1)))))))))) 4(2(4(4(4(5(4(x1))))))) -> 4(3(3(4(1(0(4(5(5(4(x1)))))))))) 4(5(4(0(4(4(0(x1))))))) -> 0(3(1(3(4(0(0(5(5(5(x1)))))))))) 5(4(0(3(2(3(5(x1))))))) -> 1(0(3(2(1(0(1(2(3(5(x1)))))))))) 5(4(0(3(2(5(0(x1))))))) -> 2(4(3(2(4(1(1(0(5(5(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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_0(x_1) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_1(x_1) -> 1(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(0(x1))) -> 0(2(2(1(1(3(0(4(3(0(x1)))))))))) 4(1(4(0(x1)))) -> 4(0(2(2(1(1(0(0(5(2(x1)))))))))) 5(4(4(5(x1)))) -> 1(1(2(3(2(0(3(1(2(0(x1)))))))))) 0(3(4(0(4(x1))))) -> 2(0(2(1(3(0(4(2(3(4(x1)))))))))) 0(3(4(5(4(x1))))) -> 1(0(1(2(4(2(3(1(2(4(x1)))))))))) 1(1(5(5(4(x1))))) -> 1(3(0(0(0(2(3(3(4(1(x1)))))))))) 1(4(5(5(4(x1))))) -> 2(0(1(0(2(3(4(2(5(1(x1)))))))))) 2(5(4(5(0(x1))))) -> 1(1(2(4(2(0(2(0(5(0(x1)))))))))) 3(1(5(1(1(x1))))) -> 3(5(0(5(3(1(2(5(5(1(x1)))))))))) 4(0(0(4(5(x1))))) -> 3(3(2(0(0(1(4(3(3(5(x1)))))))))) 4(1(4(2(0(x1))))) -> 0(4(2(1(3(1(0(3(3(0(x1)))))))))) 5(4(1(4(1(x1))))) -> 0(1(0(2(0(1(2(4(4(2(x1)))))))))) 0(3(4(1(0(4(x1)))))) -> 2(4(1(4(3(3(3(0(0(4(x1)))))))))) 0(3(4(5(1(3(x1)))))) -> 4(4(4(3(1(3(3(3(0(3(x1)))))))))) 0(4(0(5(1(4(x1)))))) -> 0(0(3(3(1(2(0(3(2(4(x1)))))))))) 1(3(2(5(4(0(x1)))))) -> 3(0(4(0(0(4(3(1(4(0(x1)))))))))) 1(3(5(4(5(4(x1)))))) -> 2(3(2(0(1(2(5(2(1(5(x1)))))))))) 1(4(2(1(4(0(x1)))))) -> 0(3(3(0(2(0(3(2(0(5(x1)))))))))) 1(5(3(4(1(3(x1)))))) -> 1(1(3(1(1(2(0(1(2(3(x1)))))))))) 1(5(4(5(0(4(x1)))))) -> 4(3(2(3(2(0(1(3(4(0(x1)))))))))) 1(5(5(4(1(3(x1)))))) -> 3(5(1(3(2(1(1(4(3(3(x1)))))))))) 2(3(5(4(5(1(x1)))))) -> 5(4(3(5(5(5(1(2(5(1(x1)))))))))) 3(4(5(3(5(0(x1)))))) -> 3(4(3(3(2(3(5(3(3(0(x1)))))))))) 5(4(5(4(4(5(x1)))))) -> 1(0(3(2(0(3(3(4(4(5(x1)))))))))) 0(2(5(2(4(0(4(x1))))))) -> 4(3(0(1(2(1(0(2(0(1(x1)))))))))) 1(1(5(5(4(0(5(x1))))))) -> 4(2(2(2(1(1(4(2(4(2(x1)))))))))) 1(4(0(3(1(4(1(x1))))))) -> 0(4(1(3(3(3(4(2(2(0(x1)))))))))) 1(4(1(0(4(0(3(x1))))))) -> 2(4(4(3(3(2(4(0(2(3(x1)))))))))) 1(4(4(5(1(0(2(x1))))))) -> 2(3(0(1(4(0(1(4(2(3(x1)))))))))) 1(4(4(5(4(2(4(x1))))))) -> 1(0(0(1(5(1(2(1(5(4(x1)))))))))) 1(5(4(1(1(3(3(x1))))))) -> 0(5(3(2(0(1(3(3(2(3(x1)))))))))) 1(5(4(4(1(4(5(x1))))))) -> 2(3(2(0(2(5(3(4(3(5(x1)))))))))) 2(0(2(5(4(5(1(x1))))))) -> 0(0(5(3(0(2(1(2(4(0(x1)))))))))) 2(3(5(4(4(0(5(x1))))))) -> 2(5(1(3(0(2(3(0(2(5(x1)))))))))) 2(4(2(4(4(1(3(x1))))))) -> 0(3(2(2(1(0(1(1(0(3(x1)))))))))) 2(5(4(4(5(4(1(x1))))))) -> 2(2(1(2(4(5(3(2(4(2(x1)))))))))) 3(5(4(1(4(1(5(x1))))))) -> 3(1(5(2(5(3(2(5(2(5(x1)))))))))) 4(2(4(4(4(5(4(x1))))))) -> 4(3(3(4(1(0(4(5(5(4(x1)))))))))) 4(5(4(0(4(4(0(x1))))))) -> 0(3(1(3(4(0(0(5(5(5(x1)))))))))) 5(4(0(3(2(3(5(x1))))))) -> 1(0(3(2(1(0(1(2(3(5(x1)))))))))) 5(4(0(3(2(5(0(x1))))))) -> 2(4(3(2(4(1(1(0(5(5(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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_0(x_1) -> 0(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_1(x_1) -> 1(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. "[99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 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, 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] {(99,100,[5_1|0, 4_1|0, 0_1|0, 1_1|0, 2_1|0, 3_1|0, encArg_1|0, encode_5_1|0, encode_4_1|0, encode_0_1|0, encode_2_1|0, encode_1_1|0, encode_3_1|0]), (99,101,[5_1|1, 4_1|1, 0_1|1, 1_1|1, 2_1|1, 3_1|1]), (99,102,[0_1|2]), (99,111,[1_1|2]), (99,120,[2_1|2]), (99,129,[1_1|2]), (99,138,[0_1|2]), (99,147,[1_1|2]), (99,156,[4_1|2]), (99,165,[0_1|2]), (99,174,[3_1|2]), (99,183,[4_1|2]), (99,192,[0_1|2]), (99,201,[2_1|2]), (99,210,[1_1|2]), (99,219,[4_1|2]), (99,228,[2_1|2]), (99,237,[0_1|2]), (99,246,[4_1|2]), (99,255,[1_1|2]), (99,264,[4_1|2]), (99,273,[2_1|2]), (99,282,[0_1|2]), (99,291,[0_1|2]), (99,300,[2_1|2]), (99,309,[2_1|2]), (99,318,[1_1|2]), (99,327,[3_1|2]), (99,336,[2_1|2]), (99,345,[1_1|2]), (99,354,[4_1|2]), (99,363,[0_1|2]), (99,372,[2_1|2]), (99,381,[3_1|2]), (99,390,[1_1|2]), (99,399,[2_1|2]), (99,408,[5_1|2]), (99,417,[2_1|2]), (99,426,[0_1|2]), (99,435,[0_1|2]), (99,444,[3_1|2]), (99,453,[3_1|2]), (99,462,[3_1|2]), (100,100,[cons_5_1|0, cons_4_1|0, cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0]), (101,100,[encArg_1|1]), (101,101,[5_1|1, 4_1|1, 0_1|1, 1_1|1, 2_1|1, 3_1|1]), (101,102,[0_1|2]), (101,111,[1_1|2]), (101,120,[2_1|2]), (101,129,[1_1|2]), (101,138,[0_1|2]), (101,147,[1_1|2]), (101,156,[4_1|2]), (101,165,[0_1|2]), (101,174,[3_1|2]), (101,183,[4_1|2]), (101,192,[0_1|2]), (101,201,[2_1|2]), (101,210,[1_1|2]), (101,219,[4_1|2]), (101,228,[2_1|2]), (101,237,[0_1|2]), (101,246,[4_1|2]), (101,255,[1_1|2]), (101,264,[4_1|2]), (101,273,[2_1|2]), (101,282,[0_1|2]), (101,291,[0_1|2]), (101,300,[2_1|2]), (101,309,[2_1|2]), (101,318,[1_1|2]), (101,327,[3_1|2]), (101,336,[2_1|2]), (101,345,[1_1|2]), (101,354,[4_1|2]), (101,363,[0_1|2]), (101,372,[2_1|2]), (101,381,[3_1|2]), (101,390,[1_1|2]), (101,399,[2_1|2]), (101,408,[5_1|2]), (101,417,[2_1|2]), (101,426,[0_1|2]), (101,435,[0_1|2]), (101,444,[3_1|2]), (101,453,[3_1|2]), (101,462,[3_1|2]), (102,103,[2_1|2]), (103,104,[2_1|2]), (104,105,[1_1|2]), (105,106,[1_1|2]), (106,107,[3_1|2]), (107,108,[0_1|2]), (108,109,[4_1|2]), (109,110,[3_1|2]), (110,101,[0_1|2]), (110,102,[0_1|2]), (110,138,[0_1|2]), (110,165,[0_1|2]), (110,192,[0_1|2]), (110,237,[0_1|2]), (110,282,[0_1|2]), (110,291,[0_1|2]), (110,363,[0_1|2]), (110,426,[0_1|2]), (110,435,[0_1|2]), (110,157,[0_1|2]), (110,201,[2_1|2]), (110,210,[1_1|2]), (110,219,[4_1|2]), (110,228,[2_1|2]), (110,246,[4_1|2]), (111,112,[0_1|2]), (112,113,[3_1|2]), (113,114,[2_1|2]), (114,115,[1_1|2]), (115,116,[0_1|2]), (116,117,[1_1|2]), (117,118,[2_1|2]), (117,408,[5_1|2]), (117,417,[2_1|2]), (118,119,[3_1|2]), (118,462,[3_1|2]), (119,101,[5_1|2]), (119,408,[5_1|2]), (119,382,[5_1|2]), (119,445,[5_1|2]), (119,102,[0_1|2]), (119,111,[1_1|2]), (119,120,[2_1|2]), (119,129,[1_1|2]), (119,138,[0_1|2]), (119,147,[1_1|2]), (119,471,[0_1|3]), (120,121,[4_1|2]), (121,122,[3_1|2]), (122,123,[2_1|2]), (123,124,[4_1|2]), (124,125,[1_1|2]), (125,126,[1_1|2]), (126,127,[0_1|2]), (127,128,[5_1|2]), (128,101,[5_1|2]), (128,102,[5_1|2, 0_1|2]), (128,138,[5_1|2, 0_1|2]), (128,165,[5_1|2]), (128,192,[5_1|2]), (128,237,[5_1|2]), (128,282,[5_1|2]), (128,291,[5_1|2]), (128,363,[5_1|2]), (128,426,[5_1|2]), (128,435,[5_1|2]), (128,111,[1_1|2]), (128,120,[2_1|2]), (128,129,[1_1|2]), (128,147,[1_1|2]), (128,471,[0_1|3]), (129,130,[1_1|2]), (130,131,[2_1|2]), (131,132,[3_1|2]), (132,133,[2_1|2]), (133,134,[0_1|2]), (134,135,[3_1|2]), (135,136,[1_1|2]), (136,137,[2_1|2]), (136,426,[0_1|2]), (137,101,[0_1|2]), (137,408,[0_1|2]), (137,201,[2_1|2]), (137,210,[1_1|2]), (137,219,[4_1|2]), (137,228,[2_1|2]), (137,237,[0_1|2]), (137,246,[4_1|2]), (138,139,[1_1|2]), (139,140,[0_1|2]), (140,141,[2_1|2]), (141,142,[0_1|2]), (142,143,[1_1|2]), (143,144,[2_1|2]), (144,145,[4_1|2]), (145,146,[4_1|2]), (145,183,[4_1|2]), (146,101,[2_1|2]), (146,111,[2_1|2]), (146,129,[2_1|2]), (146,147,[2_1|2]), (146,210,[2_1|2]), (146,255,[2_1|2]), (146,318,[2_1|2]), (146,345,[2_1|2]), (146,390,[2_1|2, 1_1|2]), (146,399,[2_1|2]), (146,408,[5_1|2]), (146,417,[2_1|2]), (146,426,[0_1|2]), (146,435,[0_1|2]), (147,148,[0_1|2]), (148,149,[3_1|2]), (149,150,[2_1|2]), (150,151,[0_1|2]), (151,152,[3_1|2]), (152,153,[3_1|2]), (153,154,[4_1|2]), (154,155,[4_1|2]), (154,192,[0_1|2]), (155,101,[5_1|2]), (155,408,[5_1|2]), (155,102,[0_1|2]), (155,111,[1_1|2]), (155,120,[2_1|2]), (155,129,[1_1|2]), (155,138,[0_1|2]), (155,147,[1_1|2]), (155,471,[0_1|3]), (156,157,[0_1|2]), (157,158,[2_1|2]), (158,159,[2_1|2]), (159,160,[1_1|2]), (160,161,[1_1|2]), (161,162,[0_1|2]), (162,163,[0_1|2]), (163,164,[5_1|2]), (164,101,[2_1|2]), (164,102,[2_1|2]), (164,138,[2_1|2]), (164,165,[2_1|2]), (164,192,[2_1|2]), (164,237,[2_1|2]), (164,282,[2_1|2]), (164,291,[2_1|2]), (164,363,[2_1|2]), (164,426,[2_1|2, 0_1|2]), (164,435,[2_1|2, 0_1|2]), (164,157,[2_1|2]), (164,390,[1_1|2]), (164,399,[2_1|2]), (164,408,[5_1|2]), (164,417,[2_1|2]), (165,166,[4_1|2]), (166,167,[2_1|2]), (167,168,[1_1|2]), (168,169,[3_1|2]), (169,170,[1_1|2]), (170,171,[0_1|2]), (171,172,[3_1|2]), (172,173,[3_1|2]), (173,101,[0_1|2]), (173,102,[0_1|2]), (173,138,[0_1|2]), (173,165,[0_1|2]), (173,192,[0_1|2]), (173,237,[0_1|2]), (173,282,[0_1|2]), (173,291,[0_1|2]), (173,363,[0_1|2]), (173,426,[0_1|2]), (173,435,[0_1|2]), (173,202,[0_1|2]), (173,274,[0_1|2]), (173,201,[2_1|2]), (173,210,[1_1|2]), (173,219,[4_1|2]), (173,228,[2_1|2]), (173,246,[4_1|2]), (174,175,[3_1|2]), (175,176,[2_1|2]), (176,177,[0_1|2]), (177,178,[0_1|2]), (178,179,[1_1|2]), (179,180,[4_1|2]), (180,181,[3_1|2]), (181,182,[3_1|2]), (181,462,[3_1|2]), (182,101,[5_1|2]), (182,408,[5_1|2]), (182,102,[0_1|2]), (182,111,[1_1|2]), (182,120,[2_1|2]), (182,129,[1_1|2]), (182,138,[0_1|2]), (182,147,[1_1|2]), (182,471,[0_1|3]), (183,184,[3_1|2]), (184,185,[3_1|2]), (185,186,[4_1|2]), (186,187,[1_1|2]), (187,188,[0_1|2]), (188,189,[4_1|2]), (189,190,[5_1|2]), (190,191,[5_1|2]), (190,102,[0_1|2]), (190,111,[1_1|2]), (190,120,[2_1|2]), (190,129,[1_1|2]), (190,138,[0_1|2]), (190,147,[1_1|2]), (190,480,[0_1|3]), (191,101,[4_1|2]), (191,156,[4_1|2]), (191,183,[4_1|2]), (191,219,[4_1|2]), (191,246,[4_1|2]), (191,264,[4_1|2]), (191,354,[4_1|2]), (191,409,[4_1|2]), (191,165,[0_1|2]), (191,174,[3_1|2]), (191,192,[0_1|2]), (192,193,[3_1|2]), (193,194,[1_1|2]), (194,195,[3_1|2]), (195,196,[4_1|2]), (196,197,[0_1|2]), (197,198,[0_1|2]), (198,199,[5_1|2]), (199,200,[5_1|2]), (200,101,[5_1|2]), (200,102,[5_1|2, 0_1|2]), (200,138,[5_1|2, 0_1|2]), (200,165,[5_1|2]), (200,192,[5_1|2]), (200,237,[5_1|2]), (200,282,[5_1|2]), (200,291,[5_1|2]), (200,363,[5_1|2]), (200,426,[5_1|2]), (200,435,[5_1|2]), (200,157,[5_1|2]), (200,111,[1_1|2]), (200,120,[2_1|2]), (200,129,[1_1|2]), (200,147,[1_1|2]), (200,471,[0_1|3]), (201,202,[0_1|2]), (202,203,[2_1|2]), (203,204,[1_1|2]), (204,205,[3_1|2]), (205,206,[0_1|2]), (206,207,[4_1|2]), (207,208,[2_1|2]), (208,209,[3_1|2]), (208,453,[3_1|2]), (209,101,[4_1|2]), (209,156,[4_1|2]), (209,183,[4_1|2]), (209,219,[4_1|2]), (209,246,[4_1|2]), (209,264,[4_1|2]), (209,354,[4_1|2]), (209,166,[4_1|2]), (209,292,[4_1|2]), (209,165,[0_1|2]), (209,174,[3_1|2]), (209,192,[0_1|2]), (210,211,[0_1|2]), (211,212,[1_1|2]), (212,213,[2_1|2]), (213,214,[4_1|2]), (214,215,[2_1|2]), (215,216,[3_1|2]), (216,217,[1_1|2]), (217,218,[2_1|2]), (217,435,[0_1|2]), (218,101,[4_1|2]), (218,156,[4_1|2]), (218,183,[4_1|2]), (218,219,[4_1|2]), (218,246,[4_1|2]), (218,264,[4_1|2]), (218,354,[4_1|2]), (218,409,[4_1|2]), (218,165,[0_1|2]), (218,174,[3_1|2]), (218,192,[0_1|2]), (219,220,[4_1|2]), (220,221,[4_1|2]), (221,222,[3_1|2]), (222,223,[1_1|2]), (223,224,[3_1|2]), (224,225,[3_1|2]), (225,226,[3_1|2]), (226,227,[0_1|2]), (226,201,[2_1|2]), (226,210,[1_1|2]), (226,219,[4_1|2]), (226,228,[2_1|2]), (227,101,[3_1|2]), (227,174,[3_1|2]), (227,327,[3_1|2]), (227,381,[3_1|2]), (227,444,[3_1|2]), (227,453,[3_1|2]), (227,462,[3_1|2]), (227,256,[3_1|2]), (228,229,[4_1|2]), (229,230,[1_1|2]), (230,231,[4_1|2]), (231,232,[3_1|2]), (232,233,[3_1|2]), (233,234,[3_1|2]), (234,235,[0_1|2]), (235,236,[0_1|2]), (235,237,[0_1|2]), (236,101,[4_1|2]), (236,156,[4_1|2]), (236,183,[4_1|2]), (236,219,[4_1|2]), (236,246,[4_1|2]), (236,264,[4_1|2]), (236,354,[4_1|2]), (236,166,[4_1|2]), (236,292,[4_1|2]), (236,165,[0_1|2]), (236,174,[3_1|2]), (236,192,[0_1|2]), (237,238,[0_1|2]), (238,239,[3_1|2]), (239,240,[3_1|2]), (240,241,[1_1|2]), (241,242,[2_1|2]), (242,243,[0_1|2]), (243,244,[3_1|2]), (244,245,[2_1|2]), (244,435,[0_1|2]), (245,101,[4_1|2]), (245,156,[4_1|2]), (245,183,[4_1|2]), (245,219,[4_1|2]), (245,246,[4_1|2]), (245,264,[4_1|2]), (245,354,[4_1|2]), (245,165,[0_1|2]), (245,174,[3_1|2]), (245,192,[0_1|2]), (246,247,[3_1|2]), (247,248,[0_1|2]), (248,249,[1_1|2]), (249,250,[2_1|2]), (250,251,[1_1|2]), (251,252,[0_1|2]), (252,253,[2_1|2]), (253,254,[0_1|2]), (254,101,[1_1|2]), (254,156,[1_1|2]), (254,183,[1_1|2]), (254,219,[1_1|2]), (254,246,[1_1|2]), (254,264,[1_1|2, 4_1|2]), (254,354,[1_1|2, 4_1|2]), (254,166,[1_1|2]), (254,292,[1_1|2]), (254,255,[1_1|2]), (254,273,[2_1|2]), (254,282,[0_1|2]), (254,291,[0_1|2]), (254,300,[2_1|2]), (254,309,[2_1|2]), (254,318,[1_1|2]), (254,327,[3_1|2]), (254,336,[2_1|2]), (254,345,[1_1|2]), (254,363,[0_1|2]), (254,372,[2_1|2]), (254,381,[3_1|2]), (255,256,[3_1|2]), (256,257,[0_1|2]), (257,258,[0_1|2]), (258,259,[0_1|2]), (259,260,[2_1|2]), (260,261,[3_1|2]), (261,262,[3_1|2]), (262,263,[4_1|2]), (262,156,[4_1|2]), (262,165,[0_1|2]), (262,489,[4_1|3]), (263,101,[1_1|2]), (263,156,[1_1|2]), (263,183,[1_1|2]), (263,219,[1_1|2]), (263,246,[1_1|2]), (263,264,[1_1|2, 4_1|2]), (263,354,[1_1|2, 4_1|2]), (263,409,[1_1|2]), (263,255,[1_1|2]), (263,273,[2_1|2]), (263,282,[0_1|2]), (263,291,[0_1|2]), (263,300,[2_1|2]), (263,309,[2_1|2]), (263,318,[1_1|2]), (263,327,[3_1|2]), (263,336,[2_1|2]), (263,345,[1_1|2]), (263,363,[0_1|2]), (263,372,[2_1|2]), (263,381,[3_1|2]), (264,265,[2_1|2]), (265,266,[2_1|2]), (266,267,[2_1|2]), (267,268,[1_1|2]), (268,269,[1_1|2]), (269,270,[4_1|2]), (270,271,[2_1|2]), (270,435,[0_1|2]), (271,272,[4_1|2]), (271,183,[4_1|2]), (272,101,[2_1|2]), (272,408,[2_1|2, 5_1|2]), (272,364,[2_1|2]), (272,390,[1_1|2]), (272,399,[2_1|2]), (272,417,[2_1|2]), (272,426,[0_1|2]), (272,435,[0_1|2]), (273,274,[0_1|2]), (274,275,[1_1|2]), (275,276,[0_1|2]), (276,277,[2_1|2]), (277,278,[3_1|2]), (278,279,[4_1|2]), (279,280,[2_1|2]), (280,281,[5_1|2]), (281,101,[1_1|2]), (281,156,[1_1|2]), (281,183,[1_1|2]), (281,219,[1_1|2]), (281,246,[1_1|2]), (281,264,[1_1|2, 4_1|2]), (281,354,[1_1|2, 4_1|2]), (281,409,[1_1|2]), (281,255,[1_1|2]), (281,273,[2_1|2]), (281,282,[0_1|2]), (281,291,[0_1|2]), (281,300,[2_1|2]), (281,309,[2_1|2]), (281,318,[1_1|2]), (281,327,[3_1|2]), (281,336,[2_1|2]), (281,345,[1_1|2]), (281,363,[0_1|2]), (281,372,[2_1|2]), (281,381,[3_1|2]), (282,283,[3_1|2]), (283,284,[3_1|2]), (284,285,[0_1|2]), (285,286,[2_1|2]), (286,287,[0_1|2]), (287,288,[3_1|2]), (288,289,[2_1|2]), (289,290,[0_1|2]), (290,101,[5_1|2]), (290,102,[5_1|2, 0_1|2]), (290,138,[5_1|2, 0_1|2]), (290,165,[5_1|2]), (290,192,[5_1|2]), (290,237,[5_1|2]), (290,282,[5_1|2]), (290,291,[5_1|2]), (290,363,[5_1|2]), (290,426,[5_1|2]), (290,435,[5_1|2]), (290,157,[5_1|2]), (290,111,[1_1|2]), (290,120,[2_1|2]), (290,129,[1_1|2]), (290,147,[1_1|2]), (290,471,[0_1|3]), (291,292,[4_1|2]), (292,293,[1_1|2]), (293,294,[3_1|2]), (294,295,[3_1|2]), (295,296,[3_1|2]), (296,297,[4_1|2]), (297,298,[2_1|2]), (298,299,[2_1|2]), (298,426,[0_1|2]), (299,101,[0_1|2]), (299,111,[0_1|2]), (299,129,[0_1|2]), (299,147,[0_1|2]), (299,210,[0_1|2, 1_1|2]), (299,255,[0_1|2]), (299,318,[0_1|2]), (299,345,[0_1|2]), (299,390,[0_1|2]), (299,201,[2_1|2]), (299,219,[4_1|2]), (299,228,[2_1|2]), (299,237,[0_1|2]), (299,246,[4_1|2]), (300,301,[4_1|2]), (301,302,[4_1|2]), (302,303,[3_1|2]), (303,304,[3_1|2]), (304,305,[2_1|2]), (305,306,[4_1|2]), (306,307,[0_1|2]), (307,308,[2_1|2]), (307,408,[5_1|2]), (307,417,[2_1|2]), (308,101,[3_1|2]), (308,174,[3_1|2]), (308,327,[3_1|2]), (308,381,[3_1|2]), (308,444,[3_1|2]), (308,453,[3_1|2]), (308,462,[3_1|2]), (308,193,[3_1|2]), (308,283,[3_1|2]), (308,436,[3_1|2]), (309,310,[3_1|2]), (310,311,[0_1|2]), (311,312,[1_1|2]), (312,313,[4_1|2]), (313,314,[0_1|2]), (314,315,[1_1|2]), (315,316,[4_1|2]), (316,317,[2_1|2]), (316,408,[5_1|2]), (316,417,[2_1|2]), (317,101,[3_1|2]), (317,120,[3_1|2]), (317,201,[3_1|2]), (317,228,[3_1|2]), (317,273,[3_1|2]), (317,300,[3_1|2]), (317,309,[3_1|2]), (317,336,[3_1|2]), (317,372,[3_1|2]), (317,399,[3_1|2]), (317,417,[3_1|2]), (317,103,[3_1|2]), (317,444,[3_1|2]), (317,453,[3_1|2]), (317,462,[3_1|2]), (318,319,[0_1|2]), (319,320,[0_1|2]), (320,321,[1_1|2]), (321,322,[5_1|2]), (322,323,[1_1|2]), (323,324,[2_1|2]), (324,325,[1_1|2]), (324,354,[4_1|2]), (324,363,[0_1|2]), (324,372,[2_1|2]), (325,326,[5_1|2]), (325,102,[0_1|2]), (325,111,[1_1|2]), (325,120,[2_1|2]), (325,129,[1_1|2]), (325,138,[0_1|2]), (325,147,[1_1|2]), (325,480,[0_1|3]), (326,101,[4_1|2]), (326,156,[4_1|2]), (326,183,[4_1|2]), (326,219,[4_1|2]), (326,246,[4_1|2]), (326,264,[4_1|2]), (326,354,[4_1|2]), (326,121,[4_1|2]), (326,229,[4_1|2]), (326,301,[4_1|2]), (326,165,[0_1|2]), (326,174,[3_1|2]), (326,192,[0_1|2]), (327,328,[0_1|2]), (328,329,[4_1|2]), (329,330,[0_1|2]), (330,331,[0_1|2]), (331,332,[4_1|2]), (332,333,[3_1|2]), (333,334,[1_1|2]), (333,291,[0_1|2]), (334,335,[4_1|2]), (334,174,[3_1|2]), (335,101,[0_1|2]), (335,102,[0_1|2]), (335,138,[0_1|2]), (335,165,[0_1|2]), (335,192,[0_1|2]), (335,237,[0_1|2]), (335,282,[0_1|2]), (335,291,[0_1|2]), (335,363,[0_1|2]), (335,426,[0_1|2]), (335,435,[0_1|2]), (335,157,[0_1|2]), (335,201,[2_1|2]), (335,210,[1_1|2]), (335,219,[4_1|2]), (335,228,[2_1|2]), (335,246,[4_1|2]), (336,337,[3_1|2]), (337,338,[2_1|2]), (338,339,[0_1|2]), (339,340,[1_1|2]), (340,341,[2_1|2]), (341,342,[5_1|2]), (342,343,[2_1|2]), (343,344,[1_1|2]), (343,345,[1_1|2]), (343,354,[4_1|2]), (343,363,[0_1|2]), (343,372,[2_1|2]), (343,381,[3_1|2]), (344,101,[5_1|2]), (344,156,[5_1|2]), (344,183,[5_1|2]), (344,219,[5_1|2]), (344,246,[5_1|2]), (344,264,[5_1|2]), (344,354,[5_1|2]), (344,409,[5_1|2]), (344,102,[0_1|2]), (344,111,[1_1|2]), (344,120,[2_1|2]), (344,129,[1_1|2]), (344,138,[0_1|2]), (344,147,[1_1|2]), (344,471,[0_1|3]), (345,346,[1_1|2]), (346,347,[3_1|2]), (347,348,[1_1|2]), (348,349,[1_1|2]), (349,350,[2_1|2]), (350,351,[0_1|2]), (351,352,[1_1|2]), (352,353,[2_1|2]), (352,408,[5_1|2]), (352,417,[2_1|2]), (353,101,[3_1|2]), (353,174,[3_1|2]), (353,327,[3_1|2]), (353,381,[3_1|2]), (353,444,[3_1|2]), (353,453,[3_1|2]), (353,462,[3_1|2]), (353,256,[3_1|2]), (354,355,[3_1|2]), (355,356,[2_1|2]), (356,357,[3_1|2]), (357,358,[2_1|2]), (358,359,[0_1|2]), (359,360,[1_1|2]), (360,361,[3_1|2]), (361,362,[4_1|2]), (361,174,[3_1|2]), (362,101,[0_1|2]), (362,156,[0_1|2]), (362,183,[0_1|2]), (362,219,[0_1|2, 4_1|2]), (362,246,[0_1|2, 4_1|2]), (362,264,[0_1|2]), (362,354,[0_1|2]), (362,166,[0_1|2]), (362,292,[0_1|2]), (362,201,[2_1|2]), (362,210,[1_1|2]), (362,228,[2_1|2]), (362,237,[0_1|2]), (363,364,[5_1|2]), (364,365,[3_1|2]), (365,366,[2_1|2]), (366,367,[0_1|2]), (367,368,[1_1|2]), (368,369,[3_1|2]), (369,370,[3_1|2]), (370,371,[2_1|2]), (370,408,[5_1|2]), (370,417,[2_1|2]), (371,101,[3_1|2]), (371,174,[3_1|2]), (371,327,[3_1|2]), (371,381,[3_1|2]), (371,444,[3_1|2]), (371,453,[3_1|2]), (371,462,[3_1|2]), (371,175,[3_1|2]), (372,373,[3_1|2]), (373,374,[2_1|2]), (374,375,[0_1|2]), (375,376,[2_1|2]), (376,377,[5_1|2]), (377,378,[3_1|2]), (378,379,[4_1|2]), (379,380,[3_1|2]), (379,462,[3_1|2]), (380,101,[5_1|2]), (380,408,[5_1|2]), (380,102,[0_1|2]), (380,111,[1_1|2]), (380,120,[2_1|2]), (380,129,[1_1|2]), (380,138,[0_1|2]), (380,147,[1_1|2]), (380,471,[0_1|3]), (381,382,[5_1|2]), (382,383,[1_1|2]), (383,384,[3_1|2]), (384,385,[2_1|2]), (385,386,[1_1|2]), (386,387,[1_1|2]), (387,388,[4_1|2]), (388,389,[3_1|2]), (389,101,[3_1|2]), (389,174,[3_1|2]), (389,327,[3_1|2]), (389,381,[3_1|2]), (389,444,[3_1|2]), (389,453,[3_1|2]), (389,462,[3_1|2]), (389,256,[3_1|2]), (390,391,[1_1|2]), (391,392,[2_1|2]), (392,393,[4_1|2]), (393,394,[2_1|2]), (394,395,[0_1|2]), (395,396,[2_1|2]), (396,397,[0_1|2]), (397,398,[5_1|2]), (398,101,[0_1|2]), (398,102,[0_1|2]), (398,138,[0_1|2]), (398,165,[0_1|2]), (398,192,[0_1|2]), (398,237,[0_1|2]), (398,282,[0_1|2]), (398,291,[0_1|2]), (398,363,[0_1|2]), (398,426,[0_1|2]), (398,435,[0_1|2]), (398,201,[2_1|2]), (398,210,[1_1|2]), (398,219,[4_1|2]), (398,228,[2_1|2]), (398,246,[4_1|2]), (399,400,[2_1|2]), (400,401,[1_1|2]), (401,402,[2_1|2]), (402,403,[4_1|2]), (403,404,[5_1|2]), (404,405,[3_1|2]), (405,406,[2_1|2]), (405,435,[0_1|2]), (406,407,[4_1|2]), (406,183,[4_1|2]), (407,101,[2_1|2]), (407,111,[2_1|2]), (407,129,[2_1|2]), (407,147,[2_1|2]), (407,210,[2_1|2]), (407,255,[2_1|2]), (407,318,[2_1|2]), (407,345,[2_1|2]), (407,390,[2_1|2, 1_1|2]), (407,399,[2_1|2]), (407,408,[5_1|2]), (407,417,[2_1|2]), (407,426,[0_1|2]), (407,435,[0_1|2]), (408,409,[4_1|2]), (409,410,[3_1|2]), (410,411,[5_1|2]), (411,412,[5_1|2]), (412,413,[5_1|2]), (413,414,[1_1|2]), (414,415,[2_1|2]), (415,416,[5_1|2]), (416,101,[1_1|2]), (416,111,[1_1|2]), (416,129,[1_1|2]), (416,147,[1_1|2]), (416,210,[1_1|2]), (416,255,[1_1|2]), (416,318,[1_1|2]), (416,345,[1_1|2]), (416,390,[1_1|2]), (416,264,[4_1|2]), (416,273,[2_1|2]), (416,282,[0_1|2]), (416,291,[0_1|2]), (416,300,[2_1|2]), (416,309,[2_1|2]), (416,327,[3_1|2]), (416,336,[2_1|2]), (416,354,[4_1|2]), (416,363,[0_1|2]), (416,372,[2_1|2]), (416,381,[3_1|2]), (417,418,[5_1|2]), (418,419,[1_1|2]), (419,420,[3_1|2]), (420,421,[0_1|2]), (421,422,[2_1|2]), (422,423,[3_1|2]), (423,424,[0_1|2]), (423,246,[4_1|2]), (424,425,[2_1|2]), (424,390,[1_1|2]), (424,399,[2_1|2]), (425,101,[5_1|2]), (425,408,[5_1|2]), (425,364,[5_1|2]), (425,102,[0_1|2]), (425,111,[1_1|2]), (425,120,[2_1|2]), (425,129,[1_1|2]), (425,138,[0_1|2]), (425,147,[1_1|2]), (425,471,[0_1|3]), (426,427,[0_1|2]), (427,428,[5_1|2]), (428,429,[3_1|2]), (429,430,[0_1|2]), (430,431,[2_1|2]), (431,432,[1_1|2]), (432,433,[2_1|2]), (433,434,[4_1|2]), (433,174,[3_1|2]), (434,101,[0_1|2]), (434,111,[0_1|2]), (434,129,[0_1|2]), (434,147,[0_1|2]), (434,210,[0_1|2, 1_1|2]), (434,255,[0_1|2]), (434,318,[0_1|2]), (434,345,[0_1|2]), (434,390,[0_1|2]), (434,201,[2_1|2]), (434,219,[4_1|2]), (434,228,[2_1|2]), (434,237,[0_1|2]), (434,246,[4_1|2]), (435,436,[3_1|2]), (436,437,[2_1|2]), (437,438,[2_1|2]), (438,439,[1_1|2]), (439,440,[0_1|2]), (440,441,[1_1|2]), (441,442,[1_1|2]), (442,443,[0_1|2]), (442,201,[2_1|2]), (442,210,[1_1|2]), (442,219,[4_1|2]), (442,228,[2_1|2]), (443,101,[3_1|2]), (443,174,[3_1|2]), (443,327,[3_1|2]), (443,381,[3_1|2]), (443,444,[3_1|2]), (443,453,[3_1|2]), (443,462,[3_1|2]), (443,256,[3_1|2]), (444,445,[5_1|2]), (445,446,[0_1|2]), (446,447,[5_1|2]), (447,448,[3_1|2]), (448,449,[1_1|2]), (449,450,[2_1|2]), (450,451,[5_1|2]), (451,452,[5_1|2]), (452,101,[1_1|2]), (452,111,[1_1|2]), (452,129,[1_1|2]), (452,147,[1_1|2]), (452,210,[1_1|2]), (452,255,[1_1|2]), (452,318,[1_1|2]), (452,345,[1_1|2]), (452,390,[1_1|2]), (452,130,[1_1|2]), (452,346,[1_1|2]), (452,391,[1_1|2]), (452,264,[4_1|2]), (452,273,[2_1|2]), (452,282,[0_1|2]), (452,291,[0_1|2]), (452,300,[2_1|2]), (452,309,[2_1|2]), (452,327,[3_1|2]), (452,336,[2_1|2]), (452,354,[4_1|2]), (452,363,[0_1|2]), (452,372,[2_1|2]), (452,381,[3_1|2]), (453,454,[4_1|2]), (454,455,[3_1|2]), (455,456,[3_1|2]), (456,457,[2_1|2]), (457,458,[3_1|2]), (458,459,[5_1|2]), (459,460,[3_1|2]), (460,461,[3_1|2]), (461,101,[0_1|2]), (461,102,[0_1|2]), (461,138,[0_1|2]), (461,165,[0_1|2]), (461,192,[0_1|2]), (461,237,[0_1|2]), (461,282,[0_1|2]), (461,291,[0_1|2]), (461,363,[0_1|2]), (461,426,[0_1|2]), (461,435,[0_1|2]), (461,446,[0_1|2]), (461,201,[2_1|2]), (461,210,[1_1|2]), (461,219,[4_1|2]), (461,228,[2_1|2]), (461,246,[4_1|2]), (462,463,[1_1|2]), (463,464,[5_1|2]), (464,465,[2_1|2]), (465,466,[5_1|2]), (466,467,[3_1|2]), (467,468,[2_1|2]), (468,469,[5_1|2]), (469,470,[2_1|2]), (469,390,[1_1|2]), (469,399,[2_1|2]), (470,101,[5_1|2]), (470,408,[5_1|2]), (470,102,[0_1|2]), (470,111,[1_1|2]), (470,120,[2_1|2]), (470,129,[1_1|2]), (470,138,[0_1|2]), (470,147,[1_1|2]), (470,471,[0_1|3]), (471,472,[2_1|3]), (472,473,[2_1|3]), (473,474,[1_1|3]), (474,475,[1_1|3]), (475,476,[3_1|3]), (476,477,[0_1|3]), (477,478,[4_1|3]), (478,479,[3_1|3]), (479,157,[0_1|3]), (480,481,[2_1|3]), (481,482,[2_1|3]), (482,483,[1_1|3]), (483,484,[1_1|3]), (484,485,[3_1|3]), (485,486,[0_1|3]), (486,487,[4_1|3]), (487,488,[3_1|3]), (488,102,[0_1|3]), (488,138,[0_1|3]), (488,165,[0_1|3]), (488,192,[0_1|3]), (488,237,[0_1|3]), (488,282,[0_1|3]), (488,291,[0_1|3]), (488,363,[0_1|3]), (488,426,[0_1|3]), (488,435,[0_1|3]), (488,157,[0_1|3]), (489,490,[0_1|3]), (490,491,[2_1|3]), (491,492,[2_1|3]), (492,493,[1_1|3]), (493,494,[1_1|3]), (494,495,[0_1|3]), (495,496,[0_1|3]), (496,497,[5_1|3]), (497,157,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)