/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 49 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 138 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(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: 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_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 (full) 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: 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(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: 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(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: 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. 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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] {(98,99,[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]), (98,100,[5_1|1, 4_1|1, 0_1|1, 1_1|1, 2_1|1, 3_1|1]), (98,101,[0_1|2]), (98,110,[1_1|2]), (98,119,[2_1|2]), (98,128,[1_1|2]), (98,137,[0_1|2]), (98,146,[1_1|2]), (98,155,[4_1|2]), (98,164,[0_1|2]), (98,173,[3_1|2]), (98,182,[4_1|2]), (98,191,[0_1|2]), (98,200,[2_1|2]), (98,209,[1_1|2]), (98,218,[4_1|2]), (98,227,[2_1|2]), (98,236,[0_1|2]), (98,245,[4_1|2]), (98,254,[1_1|2]), (98,263,[4_1|2]), (98,272,[2_1|2]), (98,281,[0_1|2]), (98,290,[0_1|2]), (98,299,[2_1|2]), (98,308,[2_1|2]), (98,317,[1_1|2]), (98,326,[3_1|2]), (98,335,[2_1|2]), (98,344,[1_1|2]), (98,353,[4_1|2]), (98,362,[0_1|2]), (98,371,[2_1|2]), (98,380,[3_1|2]), (98,389,[1_1|2]), (98,398,[2_1|2]), (98,407,[5_1|2]), (98,416,[2_1|2]), (98,425,[0_1|2]), (98,434,[0_1|2]), (98,443,[3_1|2]), (98,452,[3_1|2]), (98,461,[3_1|2]), (99,99,[cons_5_1|0, cons_4_1|0, cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0]), (100,99,[encArg_1|1]), (100,100,[5_1|1, 4_1|1, 0_1|1, 1_1|1, 2_1|1, 3_1|1]), (100,101,[0_1|2]), (100,110,[1_1|2]), (100,119,[2_1|2]), (100,128,[1_1|2]), (100,137,[0_1|2]), (100,146,[1_1|2]), (100,155,[4_1|2]), (100,164,[0_1|2]), (100,173,[3_1|2]), (100,182,[4_1|2]), (100,191,[0_1|2]), (100,200,[2_1|2]), (100,209,[1_1|2]), (100,218,[4_1|2]), (100,227,[2_1|2]), (100,236,[0_1|2]), (100,245,[4_1|2]), (100,254,[1_1|2]), (100,263,[4_1|2]), (100,272,[2_1|2]), (100,281,[0_1|2]), (100,290,[0_1|2]), (100,299,[2_1|2]), (100,308,[2_1|2]), (100,317,[1_1|2]), (100,326,[3_1|2]), (100,335,[2_1|2]), (100,344,[1_1|2]), (100,353,[4_1|2]), (100,362,[0_1|2]), (100,371,[2_1|2]), (100,380,[3_1|2]), (100,389,[1_1|2]), (100,398,[2_1|2]), (100,407,[5_1|2]), (100,416,[2_1|2]), (100,425,[0_1|2]), (100,434,[0_1|2]), (100,443,[3_1|2]), (100,452,[3_1|2]), (100,461,[3_1|2]), (101,102,[2_1|2]), (102,103,[2_1|2]), (103,104,[1_1|2]), (104,105,[1_1|2]), (105,106,[3_1|2]), (106,107,[0_1|2]), (107,108,[4_1|2]), (108,109,[3_1|2]), (109,100,[0_1|2]), (109,101,[0_1|2]), (109,137,[0_1|2]), (109,164,[0_1|2]), (109,191,[0_1|2]), (109,236,[0_1|2]), (109,281,[0_1|2]), (109,290,[0_1|2]), (109,362,[0_1|2]), (109,425,[0_1|2]), (109,434,[0_1|2]), (109,156,[0_1|2]), (109,200,[2_1|2]), (109,209,[1_1|2]), (109,218,[4_1|2]), (109,227,[2_1|2]), (109,245,[4_1|2]), (110,111,[0_1|2]), (111,112,[3_1|2]), (112,113,[2_1|2]), (113,114,[1_1|2]), (114,115,[0_1|2]), (115,116,[1_1|2]), (116,117,[2_1|2]), (116,407,[5_1|2]), (116,416,[2_1|2]), (117,118,[3_1|2]), (117,461,[3_1|2]), (118,100,[5_1|2]), (118,407,[5_1|2]), (118,381,[5_1|2]), (118,444,[5_1|2]), (118,101,[0_1|2]), (118,110,[1_1|2]), (118,119,[2_1|2]), (118,128,[1_1|2]), (118,137,[0_1|2]), (118,146,[1_1|2]), (118,470,[0_1|3]), (119,120,[4_1|2]), (120,121,[3_1|2]), (121,122,[2_1|2]), (122,123,[4_1|2]), (123,124,[1_1|2]), (124,125,[1_1|2]), (125,126,[0_1|2]), (126,127,[5_1|2]), (127,100,[5_1|2]), (127,101,[5_1|2, 0_1|2]), (127,137,[5_1|2, 0_1|2]), (127,164,[5_1|2]), (127,191,[5_1|2]), (127,236,[5_1|2]), (127,281,[5_1|2]), (127,290,[5_1|2]), (127,362,[5_1|2]), (127,425,[5_1|2]), (127,434,[5_1|2]), (127,110,[1_1|2]), (127,119,[2_1|2]), (127,128,[1_1|2]), (127,146,[1_1|2]), (127,470,[0_1|3]), (128,129,[1_1|2]), (129,130,[2_1|2]), (130,131,[3_1|2]), (131,132,[2_1|2]), (132,133,[0_1|2]), (133,134,[3_1|2]), (134,135,[1_1|2]), (135,136,[2_1|2]), (135,425,[0_1|2]), (136,100,[0_1|2]), (136,407,[0_1|2]), (136,200,[2_1|2]), (136,209,[1_1|2]), (136,218,[4_1|2]), (136,227,[2_1|2]), (136,236,[0_1|2]), (136,245,[4_1|2]), (137,138,[1_1|2]), (138,139,[0_1|2]), (139,140,[2_1|2]), (140,141,[0_1|2]), (141,142,[1_1|2]), (142,143,[2_1|2]), (143,144,[4_1|2]), (144,145,[4_1|2]), (144,182,[4_1|2]), (145,100,[2_1|2]), (145,110,[2_1|2]), (145,128,[2_1|2]), (145,146,[2_1|2]), (145,209,[2_1|2]), (145,254,[2_1|2]), (145,317,[2_1|2]), (145,344,[2_1|2]), (145,389,[2_1|2, 1_1|2]), (145,398,[2_1|2]), (145,407,[5_1|2]), (145,416,[2_1|2]), (145,425,[0_1|2]), (145,434,[0_1|2]), (146,147,[0_1|2]), (147,148,[3_1|2]), (148,149,[2_1|2]), (149,150,[0_1|2]), (150,151,[3_1|2]), (151,152,[3_1|2]), (152,153,[4_1|2]), (153,154,[4_1|2]), (153,191,[0_1|2]), (154,100,[5_1|2]), (154,407,[5_1|2]), (154,101,[0_1|2]), (154,110,[1_1|2]), (154,119,[2_1|2]), (154,128,[1_1|2]), (154,137,[0_1|2]), (154,146,[1_1|2]), (154,470,[0_1|3]), (155,156,[0_1|2]), (156,157,[2_1|2]), (157,158,[2_1|2]), (158,159,[1_1|2]), (159,160,[1_1|2]), (160,161,[0_1|2]), (161,162,[0_1|2]), (162,163,[5_1|2]), (163,100,[2_1|2]), (163,101,[2_1|2]), (163,137,[2_1|2]), (163,164,[2_1|2]), (163,191,[2_1|2]), (163,236,[2_1|2]), (163,281,[2_1|2]), (163,290,[2_1|2]), (163,362,[2_1|2]), (163,425,[2_1|2, 0_1|2]), (163,434,[2_1|2, 0_1|2]), (163,156,[2_1|2]), (163,389,[1_1|2]), (163,398,[2_1|2]), (163,407,[5_1|2]), (163,416,[2_1|2]), (164,165,[4_1|2]), (165,166,[2_1|2]), (166,167,[1_1|2]), (167,168,[3_1|2]), (168,169,[1_1|2]), (169,170,[0_1|2]), (170,171,[3_1|2]), (171,172,[3_1|2]), (172,100,[0_1|2]), (172,101,[0_1|2]), (172,137,[0_1|2]), (172,164,[0_1|2]), (172,191,[0_1|2]), (172,236,[0_1|2]), (172,281,[0_1|2]), (172,290,[0_1|2]), (172,362,[0_1|2]), (172,425,[0_1|2]), (172,434,[0_1|2]), (172,201,[0_1|2]), (172,273,[0_1|2]), (172,200,[2_1|2]), (172,209,[1_1|2]), (172,218,[4_1|2]), (172,227,[2_1|2]), (172,245,[4_1|2]), (173,174,[3_1|2]), (174,175,[2_1|2]), (175,176,[0_1|2]), (176,177,[0_1|2]), (177,178,[1_1|2]), (178,179,[4_1|2]), (179,180,[3_1|2]), (180,181,[3_1|2]), (180,461,[3_1|2]), (181,100,[5_1|2]), (181,407,[5_1|2]), (181,101,[0_1|2]), (181,110,[1_1|2]), (181,119,[2_1|2]), (181,128,[1_1|2]), (181,137,[0_1|2]), (181,146,[1_1|2]), (181,470,[0_1|3]), (182,183,[3_1|2]), (183,184,[3_1|2]), (184,185,[4_1|2]), (185,186,[1_1|2]), (186,187,[0_1|2]), (187,188,[4_1|2]), (188,189,[5_1|2]), (189,190,[5_1|2]), (189,101,[0_1|2]), (189,110,[1_1|2]), (189,119,[2_1|2]), (189,128,[1_1|2]), (189,137,[0_1|2]), (189,146,[1_1|2]), (189,479,[0_1|3]), (190,100,[4_1|2]), (190,155,[4_1|2]), (190,182,[4_1|2]), (190,218,[4_1|2]), (190,245,[4_1|2]), (190,263,[4_1|2]), (190,353,[4_1|2]), (190,408,[4_1|2]), (190,164,[0_1|2]), (190,173,[3_1|2]), (190,191,[0_1|2]), (191,192,[3_1|2]), (192,193,[1_1|2]), (193,194,[3_1|2]), (194,195,[4_1|2]), (195,196,[0_1|2]), (196,197,[0_1|2]), (197,198,[5_1|2]), (198,199,[5_1|2]), (199,100,[5_1|2]), (199,101,[5_1|2, 0_1|2]), (199,137,[5_1|2, 0_1|2]), (199,164,[5_1|2]), (199,191,[5_1|2]), (199,236,[5_1|2]), (199,281,[5_1|2]), (199,290,[5_1|2]), (199,362,[5_1|2]), (199,425,[5_1|2]), (199,434,[5_1|2]), (199,156,[5_1|2]), (199,110,[1_1|2]), (199,119,[2_1|2]), (199,128,[1_1|2]), (199,146,[1_1|2]), (199,470,[0_1|3]), (200,201,[0_1|2]), (201,202,[2_1|2]), (202,203,[1_1|2]), (203,204,[3_1|2]), (204,205,[0_1|2]), (205,206,[4_1|2]), (206,207,[2_1|2]), (207,208,[3_1|2]), (207,452,[3_1|2]), (208,100,[4_1|2]), (208,155,[4_1|2]), (208,182,[4_1|2]), (208,218,[4_1|2]), (208,245,[4_1|2]), (208,263,[4_1|2]), (208,353,[4_1|2]), (208,165,[4_1|2]), (208,291,[4_1|2]), (208,164,[0_1|2]), (208,173,[3_1|2]), (208,191,[0_1|2]), (209,210,[0_1|2]), (210,211,[1_1|2]), (211,212,[2_1|2]), (212,213,[4_1|2]), (213,214,[2_1|2]), (214,215,[3_1|2]), (215,216,[1_1|2]), (216,217,[2_1|2]), (216,434,[0_1|2]), (217,100,[4_1|2]), (217,155,[4_1|2]), (217,182,[4_1|2]), (217,218,[4_1|2]), (217,245,[4_1|2]), (217,263,[4_1|2]), (217,353,[4_1|2]), (217,408,[4_1|2]), (217,164,[0_1|2]), (217,173,[3_1|2]), (217,191,[0_1|2]), (218,219,[4_1|2]), (219,220,[4_1|2]), (220,221,[3_1|2]), (221,222,[1_1|2]), (222,223,[3_1|2]), (223,224,[3_1|2]), (224,225,[3_1|2]), (225,226,[0_1|2]), (225,200,[2_1|2]), (225,209,[1_1|2]), (225,218,[4_1|2]), (225,227,[2_1|2]), (226,100,[3_1|2]), (226,173,[3_1|2]), (226,326,[3_1|2]), (226,380,[3_1|2]), (226,443,[3_1|2]), (226,452,[3_1|2]), (226,461,[3_1|2]), (226,255,[3_1|2]), (227,228,[4_1|2]), (228,229,[1_1|2]), (229,230,[4_1|2]), (230,231,[3_1|2]), (231,232,[3_1|2]), (232,233,[3_1|2]), (233,234,[0_1|2]), (234,235,[0_1|2]), (234,236,[0_1|2]), (235,100,[4_1|2]), (235,155,[4_1|2]), (235,182,[4_1|2]), (235,218,[4_1|2]), (235,245,[4_1|2]), (235,263,[4_1|2]), (235,353,[4_1|2]), (235,165,[4_1|2]), (235,291,[4_1|2]), (235,164,[0_1|2]), (235,173,[3_1|2]), (235,191,[0_1|2]), (236,237,[0_1|2]), (237,238,[3_1|2]), (238,239,[3_1|2]), (239,240,[1_1|2]), (240,241,[2_1|2]), (241,242,[0_1|2]), (242,243,[3_1|2]), (243,244,[2_1|2]), (243,434,[0_1|2]), (244,100,[4_1|2]), (244,155,[4_1|2]), (244,182,[4_1|2]), (244,218,[4_1|2]), (244,245,[4_1|2]), (244,263,[4_1|2]), (244,353,[4_1|2]), (244,164,[0_1|2]), (244,173,[3_1|2]), (244,191,[0_1|2]), (245,246,[3_1|2]), (246,247,[0_1|2]), (247,248,[1_1|2]), (248,249,[2_1|2]), (249,250,[1_1|2]), (250,251,[0_1|2]), (251,252,[2_1|2]), (252,253,[0_1|2]), (253,100,[1_1|2]), (253,155,[1_1|2]), (253,182,[1_1|2]), (253,218,[1_1|2]), (253,245,[1_1|2]), (253,263,[1_1|2, 4_1|2]), (253,353,[1_1|2, 4_1|2]), (253,165,[1_1|2]), (253,291,[1_1|2]), (253,254,[1_1|2]), (253,272,[2_1|2]), (253,281,[0_1|2]), (253,290,[0_1|2]), (253,299,[2_1|2]), (253,308,[2_1|2]), (253,317,[1_1|2]), (253,326,[3_1|2]), (253,335,[2_1|2]), (253,344,[1_1|2]), (253,362,[0_1|2]), (253,371,[2_1|2]), (253,380,[3_1|2]), (254,255,[3_1|2]), (255,256,[0_1|2]), (256,257,[0_1|2]), (257,258,[0_1|2]), (258,259,[2_1|2]), (259,260,[3_1|2]), (260,261,[3_1|2]), (261,262,[4_1|2]), (261,155,[4_1|2]), (261,164,[0_1|2]), (261,488,[4_1|3]), (262,100,[1_1|2]), (262,155,[1_1|2]), (262,182,[1_1|2]), (262,218,[1_1|2]), (262,245,[1_1|2]), (262,263,[1_1|2, 4_1|2]), (262,353,[1_1|2, 4_1|2]), (262,408,[1_1|2]), (262,254,[1_1|2]), (262,272,[2_1|2]), (262,281,[0_1|2]), (262,290,[0_1|2]), (262,299,[2_1|2]), (262,308,[2_1|2]), (262,317,[1_1|2]), (262,326,[3_1|2]), (262,335,[2_1|2]), (262,344,[1_1|2]), (262,362,[0_1|2]), (262,371,[2_1|2]), (262,380,[3_1|2]), (263,264,[2_1|2]), (264,265,[2_1|2]), (265,266,[2_1|2]), (266,267,[1_1|2]), (267,268,[1_1|2]), (268,269,[4_1|2]), (269,270,[2_1|2]), (269,434,[0_1|2]), (270,271,[4_1|2]), (270,182,[4_1|2]), (271,100,[2_1|2]), (271,407,[2_1|2, 5_1|2]), (271,363,[2_1|2]), (271,389,[1_1|2]), (271,398,[2_1|2]), (271,416,[2_1|2]), (271,425,[0_1|2]), (271,434,[0_1|2]), (272,273,[0_1|2]), (273,274,[1_1|2]), (274,275,[0_1|2]), (275,276,[2_1|2]), (276,277,[3_1|2]), (277,278,[4_1|2]), (278,279,[2_1|2]), (279,280,[5_1|2]), (280,100,[1_1|2]), (280,155,[1_1|2]), (280,182,[1_1|2]), (280,218,[1_1|2]), (280,245,[1_1|2]), (280,263,[1_1|2, 4_1|2]), (280,353,[1_1|2, 4_1|2]), (280,408,[1_1|2]), (280,254,[1_1|2]), (280,272,[2_1|2]), (280,281,[0_1|2]), (280,290,[0_1|2]), (280,299,[2_1|2]), (280,308,[2_1|2]), (280,317,[1_1|2]), (280,326,[3_1|2]), (280,335,[2_1|2]), (280,344,[1_1|2]), (280,362,[0_1|2]), (280,371,[2_1|2]), (280,380,[3_1|2]), (281,282,[3_1|2]), (282,283,[3_1|2]), (283,284,[0_1|2]), (284,285,[2_1|2]), (285,286,[0_1|2]), (286,287,[3_1|2]), (287,288,[2_1|2]), (288,289,[0_1|2]), (289,100,[5_1|2]), (289,101,[5_1|2, 0_1|2]), (289,137,[5_1|2, 0_1|2]), (289,164,[5_1|2]), (289,191,[5_1|2]), (289,236,[5_1|2]), (289,281,[5_1|2]), (289,290,[5_1|2]), (289,362,[5_1|2]), (289,425,[5_1|2]), (289,434,[5_1|2]), (289,156,[5_1|2]), (289,110,[1_1|2]), (289,119,[2_1|2]), (289,128,[1_1|2]), (289,146,[1_1|2]), (289,470,[0_1|3]), (290,291,[4_1|2]), (291,292,[1_1|2]), (292,293,[3_1|2]), (293,294,[3_1|2]), (294,295,[3_1|2]), (295,296,[4_1|2]), (296,297,[2_1|2]), (297,298,[2_1|2]), (297,425,[0_1|2]), (298,100,[0_1|2]), (298,110,[0_1|2]), (298,128,[0_1|2]), (298,146,[0_1|2]), (298,209,[0_1|2, 1_1|2]), (298,254,[0_1|2]), (298,317,[0_1|2]), (298,344,[0_1|2]), (298,389,[0_1|2]), (298,200,[2_1|2]), (298,218,[4_1|2]), (298,227,[2_1|2]), (298,236,[0_1|2]), (298,245,[4_1|2]), (299,300,[4_1|2]), (300,301,[4_1|2]), (301,302,[3_1|2]), (302,303,[3_1|2]), (303,304,[2_1|2]), (304,305,[4_1|2]), (305,306,[0_1|2]), (306,307,[2_1|2]), (306,407,[5_1|2]), (306,416,[2_1|2]), (307,100,[3_1|2]), (307,173,[3_1|2]), (307,326,[3_1|2]), (307,380,[3_1|2]), (307,443,[3_1|2]), (307,452,[3_1|2]), (307,461,[3_1|2]), (307,192,[3_1|2]), (307,282,[3_1|2]), (307,435,[3_1|2]), (308,309,[3_1|2]), (309,310,[0_1|2]), (310,311,[1_1|2]), (311,312,[4_1|2]), (312,313,[0_1|2]), (313,314,[1_1|2]), (314,315,[4_1|2]), (315,316,[2_1|2]), (315,407,[5_1|2]), (315,416,[2_1|2]), (316,100,[3_1|2]), (316,119,[3_1|2]), (316,200,[3_1|2]), (316,227,[3_1|2]), (316,272,[3_1|2]), (316,299,[3_1|2]), (316,308,[3_1|2]), (316,335,[3_1|2]), (316,371,[3_1|2]), (316,398,[3_1|2]), (316,416,[3_1|2]), (316,102,[3_1|2]), (316,443,[3_1|2]), (316,452,[3_1|2]), (316,461,[3_1|2]), (317,318,[0_1|2]), (318,319,[0_1|2]), (319,320,[1_1|2]), (320,321,[5_1|2]), (321,322,[1_1|2]), (322,323,[2_1|2]), (323,324,[1_1|2]), (323,353,[4_1|2]), (323,362,[0_1|2]), (323,371,[2_1|2]), (324,325,[5_1|2]), (324,101,[0_1|2]), (324,110,[1_1|2]), (324,119,[2_1|2]), (324,128,[1_1|2]), (324,137,[0_1|2]), (324,146,[1_1|2]), (324,479,[0_1|3]), (325,100,[4_1|2]), (325,155,[4_1|2]), (325,182,[4_1|2]), (325,218,[4_1|2]), (325,245,[4_1|2]), (325,263,[4_1|2]), (325,353,[4_1|2]), (325,120,[4_1|2]), (325,228,[4_1|2]), (325,300,[4_1|2]), (325,164,[0_1|2]), (325,173,[3_1|2]), (325,191,[0_1|2]), (326,327,[0_1|2]), (327,328,[4_1|2]), (328,329,[0_1|2]), (329,330,[0_1|2]), (330,331,[4_1|2]), (331,332,[3_1|2]), (332,333,[1_1|2]), (332,290,[0_1|2]), (333,334,[4_1|2]), (333,173,[3_1|2]), (334,100,[0_1|2]), (334,101,[0_1|2]), (334,137,[0_1|2]), (334,164,[0_1|2]), (334,191,[0_1|2]), (334,236,[0_1|2]), (334,281,[0_1|2]), (334,290,[0_1|2]), (334,362,[0_1|2]), (334,425,[0_1|2]), (334,434,[0_1|2]), (334,156,[0_1|2]), (334,200,[2_1|2]), (334,209,[1_1|2]), (334,218,[4_1|2]), (334,227,[2_1|2]), (334,245,[4_1|2]), (335,336,[3_1|2]), (336,337,[2_1|2]), (337,338,[0_1|2]), (338,339,[1_1|2]), (339,340,[2_1|2]), (340,341,[5_1|2]), (341,342,[2_1|2]), (342,343,[1_1|2]), (342,344,[1_1|2]), (342,353,[4_1|2]), (342,362,[0_1|2]), (342,371,[2_1|2]), (342,380,[3_1|2]), (343,100,[5_1|2]), (343,155,[5_1|2]), (343,182,[5_1|2]), (343,218,[5_1|2]), (343,245,[5_1|2]), (343,263,[5_1|2]), (343,353,[5_1|2]), (343,408,[5_1|2]), (343,101,[0_1|2]), (343,110,[1_1|2]), (343,119,[2_1|2]), (343,128,[1_1|2]), (343,137,[0_1|2]), (343,146,[1_1|2]), (343,470,[0_1|3]), (344,345,[1_1|2]), (345,346,[3_1|2]), (346,347,[1_1|2]), (347,348,[1_1|2]), (348,349,[2_1|2]), (349,350,[0_1|2]), (350,351,[1_1|2]), (351,352,[2_1|2]), (351,407,[5_1|2]), (351,416,[2_1|2]), (352,100,[3_1|2]), (352,173,[3_1|2]), (352,326,[3_1|2]), (352,380,[3_1|2]), (352,443,[3_1|2]), (352,452,[3_1|2]), (352,461,[3_1|2]), (352,255,[3_1|2]), (353,354,[3_1|2]), (354,355,[2_1|2]), (355,356,[3_1|2]), (356,357,[2_1|2]), (357,358,[0_1|2]), (358,359,[1_1|2]), (359,360,[3_1|2]), (360,361,[4_1|2]), (360,173,[3_1|2]), (361,100,[0_1|2]), (361,155,[0_1|2]), (361,182,[0_1|2]), (361,218,[0_1|2, 4_1|2]), (361,245,[0_1|2, 4_1|2]), (361,263,[0_1|2]), (361,353,[0_1|2]), (361,165,[0_1|2]), (361,291,[0_1|2]), (361,200,[2_1|2]), (361,209,[1_1|2]), (361,227,[2_1|2]), (361,236,[0_1|2]), (362,363,[5_1|2]), (363,364,[3_1|2]), (364,365,[2_1|2]), (365,366,[0_1|2]), (366,367,[1_1|2]), (367,368,[3_1|2]), (368,369,[3_1|2]), (369,370,[2_1|2]), (369,407,[5_1|2]), (369,416,[2_1|2]), (370,100,[3_1|2]), (370,173,[3_1|2]), (370,326,[3_1|2]), (370,380,[3_1|2]), (370,443,[3_1|2]), (370,452,[3_1|2]), (370,461,[3_1|2]), (370,174,[3_1|2]), (371,372,[3_1|2]), (372,373,[2_1|2]), (373,374,[0_1|2]), (374,375,[2_1|2]), (375,376,[5_1|2]), (376,377,[3_1|2]), (377,378,[4_1|2]), (378,379,[3_1|2]), (378,461,[3_1|2]), (379,100,[5_1|2]), (379,407,[5_1|2]), (379,101,[0_1|2]), (379,110,[1_1|2]), (379,119,[2_1|2]), (379,128,[1_1|2]), (379,137,[0_1|2]), (379,146,[1_1|2]), (379,470,[0_1|3]), (380,381,[5_1|2]), (381,382,[1_1|2]), (382,383,[3_1|2]), (383,384,[2_1|2]), (384,385,[1_1|2]), (385,386,[1_1|2]), (386,387,[4_1|2]), (387,388,[3_1|2]), (388,100,[3_1|2]), (388,173,[3_1|2]), (388,326,[3_1|2]), (388,380,[3_1|2]), (388,443,[3_1|2]), (388,452,[3_1|2]), (388,461,[3_1|2]), (388,255,[3_1|2]), (389,390,[1_1|2]), (390,391,[2_1|2]), (391,392,[4_1|2]), (392,393,[2_1|2]), (393,394,[0_1|2]), (394,395,[2_1|2]), (395,396,[0_1|2]), (396,397,[5_1|2]), (397,100,[0_1|2]), (397,101,[0_1|2]), (397,137,[0_1|2]), (397,164,[0_1|2]), (397,191,[0_1|2]), (397,236,[0_1|2]), (397,281,[0_1|2]), (397,290,[0_1|2]), (397,362,[0_1|2]), (397,425,[0_1|2]), (397,434,[0_1|2]), (397,200,[2_1|2]), (397,209,[1_1|2]), (397,218,[4_1|2]), (397,227,[2_1|2]), (397,245,[4_1|2]), (398,399,[2_1|2]), (399,400,[1_1|2]), (400,401,[2_1|2]), (401,402,[4_1|2]), (402,403,[5_1|2]), (403,404,[3_1|2]), (404,405,[2_1|2]), (404,434,[0_1|2]), (405,406,[4_1|2]), (405,182,[4_1|2]), (406,100,[2_1|2]), (406,110,[2_1|2]), (406,128,[2_1|2]), (406,146,[2_1|2]), (406,209,[2_1|2]), (406,254,[2_1|2]), (406,317,[2_1|2]), (406,344,[2_1|2]), (406,389,[2_1|2, 1_1|2]), (406,398,[2_1|2]), (406,407,[5_1|2]), (406,416,[2_1|2]), (406,425,[0_1|2]), (406,434,[0_1|2]), (407,408,[4_1|2]), (408,409,[3_1|2]), (409,410,[5_1|2]), (410,411,[5_1|2]), (411,412,[5_1|2]), (412,413,[1_1|2]), (413,414,[2_1|2]), (414,415,[5_1|2]), (415,100,[1_1|2]), (415,110,[1_1|2]), (415,128,[1_1|2]), (415,146,[1_1|2]), (415,209,[1_1|2]), (415,254,[1_1|2]), (415,317,[1_1|2]), (415,344,[1_1|2]), (415,389,[1_1|2]), (415,263,[4_1|2]), (415,272,[2_1|2]), (415,281,[0_1|2]), (415,290,[0_1|2]), (415,299,[2_1|2]), (415,308,[2_1|2]), (415,326,[3_1|2]), (415,335,[2_1|2]), (415,353,[4_1|2]), (415,362,[0_1|2]), (415,371,[2_1|2]), (415,380,[3_1|2]), (416,417,[5_1|2]), (417,418,[1_1|2]), (418,419,[3_1|2]), (419,420,[0_1|2]), (420,421,[2_1|2]), (421,422,[3_1|2]), (422,423,[0_1|2]), (422,245,[4_1|2]), (423,424,[2_1|2]), (423,389,[1_1|2]), (423,398,[2_1|2]), (424,100,[5_1|2]), (424,407,[5_1|2]), (424,363,[5_1|2]), (424,101,[0_1|2]), (424,110,[1_1|2]), (424,119,[2_1|2]), (424,128,[1_1|2]), (424,137,[0_1|2]), (424,146,[1_1|2]), (424,470,[0_1|3]), (425,426,[0_1|2]), (426,427,[5_1|2]), (427,428,[3_1|2]), (428,429,[0_1|2]), (429,430,[2_1|2]), (430,431,[1_1|2]), (431,432,[2_1|2]), (432,433,[4_1|2]), (432,173,[3_1|2]), (433,100,[0_1|2]), (433,110,[0_1|2]), (433,128,[0_1|2]), (433,146,[0_1|2]), (433,209,[0_1|2, 1_1|2]), (433,254,[0_1|2]), (433,317,[0_1|2]), (433,344,[0_1|2]), (433,389,[0_1|2]), (433,200,[2_1|2]), (433,218,[4_1|2]), (433,227,[2_1|2]), (433,236,[0_1|2]), (433,245,[4_1|2]), (434,435,[3_1|2]), (435,436,[2_1|2]), (436,437,[2_1|2]), (437,438,[1_1|2]), (438,439,[0_1|2]), (439,440,[1_1|2]), (440,441,[1_1|2]), (441,442,[0_1|2]), (441,200,[2_1|2]), (441,209,[1_1|2]), (441,218,[4_1|2]), (441,227,[2_1|2]), (442,100,[3_1|2]), (442,173,[3_1|2]), (442,326,[3_1|2]), (442,380,[3_1|2]), (442,443,[3_1|2]), (442,452,[3_1|2]), (442,461,[3_1|2]), (442,255,[3_1|2]), (443,444,[5_1|2]), (444,445,[0_1|2]), (445,446,[5_1|2]), (446,447,[3_1|2]), (447,448,[1_1|2]), (448,449,[2_1|2]), (449,450,[5_1|2]), (450,451,[5_1|2]), (451,100,[1_1|2]), (451,110,[1_1|2]), (451,128,[1_1|2]), (451,146,[1_1|2]), (451,209,[1_1|2]), (451,254,[1_1|2]), (451,317,[1_1|2]), (451,344,[1_1|2]), (451,389,[1_1|2]), (451,129,[1_1|2]), (451,345,[1_1|2]), (451,390,[1_1|2]), (451,263,[4_1|2]), (451,272,[2_1|2]), (451,281,[0_1|2]), (451,290,[0_1|2]), (451,299,[2_1|2]), (451,308,[2_1|2]), (451,326,[3_1|2]), (451,335,[2_1|2]), (451,353,[4_1|2]), (451,362,[0_1|2]), (451,371,[2_1|2]), (451,380,[3_1|2]), (452,453,[4_1|2]), (453,454,[3_1|2]), (454,455,[3_1|2]), (455,456,[2_1|2]), (456,457,[3_1|2]), (457,458,[5_1|2]), (458,459,[3_1|2]), (459,460,[3_1|2]), (460,100,[0_1|2]), (460,101,[0_1|2]), (460,137,[0_1|2]), (460,164,[0_1|2]), (460,191,[0_1|2]), (460,236,[0_1|2]), (460,281,[0_1|2]), (460,290,[0_1|2]), (460,362,[0_1|2]), (460,425,[0_1|2]), (460,434,[0_1|2]), (460,445,[0_1|2]), (460,200,[2_1|2]), (460,209,[1_1|2]), (460,218,[4_1|2]), (460,227,[2_1|2]), (460,245,[4_1|2]), (461,462,[1_1|2]), (462,463,[5_1|2]), (463,464,[2_1|2]), (464,465,[5_1|2]), (465,466,[3_1|2]), (466,467,[2_1|2]), (467,468,[5_1|2]), (468,469,[2_1|2]), (468,389,[1_1|2]), (468,398,[2_1|2]), (469,100,[5_1|2]), (469,407,[5_1|2]), (469,101,[0_1|2]), (469,110,[1_1|2]), (469,119,[2_1|2]), (469,128,[1_1|2]), (469,137,[0_1|2]), (469,146,[1_1|2]), (469,470,[0_1|3]), (470,471,[2_1|3]), (471,472,[2_1|3]), (472,473,[1_1|3]), (473,474,[1_1|3]), (474,475,[3_1|3]), (475,476,[0_1|3]), (476,477,[4_1|3]), (477,478,[3_1|3]), (478,156,[0_1|3]), (479,480,[2_1|3]), (480,481,[2_1|3]), (481,482,[1_1|3]), (482,483,[1_1|3]), (483,484,[3_1|3]), (484,485,[0_1|3]), (485,486,[4_1|3]), (486,487,[3_1|3]), (487,101,[0_1|3]), (487,137,[0_1|3]), (487,164,[0_1|3]), (487,191,[0_1|3]), (487,236,[0_1|3]), (487,281,[0_1|3]), (487,290,[0_1|3]), (487,362,[0_1|3]), (487,425,[0_1|3]), (487,434,[0_1|3]), (487,156,[0_1|3]), (488,489,[0_1|3]), (489,490,[2_1|3]), (490,491,[2_1|3]), (491,492,[1_1|3]), (492,493,[1_1|3]), (493,494,[0_1|3]), (494,495,[0_1|3]), (495,496,[5_1|3]), (496,156,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)