/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 41 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 146 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: 0(0(0(0(1(1(2(1(0(2(3(1(2(x1))))))))))))) -> 1(1(2(2(2(2(0(2(0(3(0(2(2(1(2(3(3(x1))))))))))))))))) 0(0(1(3(2(0(1(2(3(2(0(3(1(x1))))))))))))) -> 2(2(3(0(0(2(0(3(3(2(2(3(3(2(2(3(2(x1))))))))))))))))) 0(0(2(0(0(0(0(1(3(3(1(1(2(x1))))))))))))) -> 3(3(3(1(2(2(0(0(2(3(2(3(2(1(2(1(2(x1))))))))))))))))) 0(0(2(1(0(0(0(2(0(1(3(2(1(x1))))))))))))) -> 2(2(3(0(0(0(2(2(3(2(1(3(2(2(3(1(1(x1))))))))))))))))) 0(1(1(1(0(2(0(3(0(2(2(2(0(x1))))))))))))) -> 1(2(2(0(2(2(3(1(2(3(1(2(2(2(2(1(0(x1))))))))))))))))) 0(1(2(2(3(3(2(0(0(3(1(2(2(x1))))))))))))) -> 3(0(2(2(2(1(1(2(2(2(1(1(3(3(2(2(2(x1))))))))))))))))) 0(3(0(2(0(3(2(0(3(2(0(2(1(x1))))))))))))) -> 2(1(0(3(1(2(3(0(2(0(2(2(2(3(1(3(1(x1))))))))))))))))) 0(3(1(1(1(2(2(3(1(3(3(2(1(x1))))))))))))) -> 2(2(0(1(2(1(1(1(1(1(2(0(2(1(0(2(2(x1))))))))))))))))) 0(3(1(2(2(2(1(0(1(0(2(3(3(x1))))))))))))) -> 2(2(2(0(2(3(2(3(3(3(1(3(3(1(2(2(3(x1))))))))))))))))) 0(3(3(2(1(0(2(3(0(2(2(2(0(x1))))))))))))) -> 2(2(0(0(1(2(2(2(3(3(2(1(3(0(2(2(3(x1))))))))))))))))) 1(0(2(3(2(1(0(2(3(3(0(2(2(x1))))))))))))) -> 2(1(0(2(2(3(0(3(1(2(2(2(2(2(2(1(2(x1))))))))))))))))) 1(1(0(2(1(1(3(0(0(3(2(1(2(x1))))))))))))) -> 2(3(2(1(2(2(1(1(0(0(3(2(2(0(1(1(2(x1))))))))))))))))) 1(1(0(2(2(1(0(2(1(1(3(2(3(x1))))))))))))) -> 2(0(2(3(2(0(2(0(0(2(2(1(2(2(3(3(3(x1))))))))))))))))) 1(1(0(2(2(3(1(1(0(0(1(1(2(x1))))))))))))) -> 2(0(0(0(2(0(3(0(1(2(0(2(2(2(2(1(2(x1))))))))))))))))) 1(1(1(3(2(0(2(1(2(0(0(2(0(x1))))))))))))) -> 2(3(2(3(2(0(3(2(2(1(2(3(2(2(2(1(0(x1))))))))))))))))) 1(1(2(0(0(2(1(2(0(1(1(1(1(x1))))))))))))) -> 1(0(0(0(2(2(2(3(3(2(3(3(3(2(0(2(2(x1))))))))))))))))) 1(1(2(1(2(3(3(1(2(1(0(1(0(x1))))))))))))) -> 2(2(2(3(1(2(2(1(2(2(3(2(1(0(3(3(2(x1))))))))))))))))) 1(1(2(2(0(2(2(0(0(3(1(0(2(x1))))))))))))) -> 1(3(2(0(2(2(1(3(3(2(2(1(1(3(2(0(2(x1))))))))))))))))) 1(2(0(2(1(2(1(1(3(1(3(3(0(x1))))))))))))) -> 1(2(1(3(0(3(0(0(0(2(2(2(2(3(2(0(2(x1))))))))))))))))) 1(2(1(0(3(2(1(1(1(0(2(3(3(x1))))))))))))) -> 0(2(3(3(0(2(2(2(1(0(0(2(1(1(3(3(2(x1))))))))))))))))) 1(2(1(2(1(1(3(2(1(3(3(0(1(x1))))))))))))) -> 1(0(0(2(2(0(0(0(2(2(2(2(2(2(2(0(2(x1))))))))))))))))) 1(2(1(3(2(0(3(3(2(1(1(0(2(x1))))))))))))) -> 3(3(2(2(2(1(2(0(1(1(2(0(2(2(1(0(2(x1))))))))))))))))) 1(2(1(3(2(3(3(0(3(1(2(3(3(x1))))))))))))) -> 2(2(1(0(2(2(0(0(2(1(1(2(3(1(1(1(2(x1))))))))))))))))) 1(3(0(1(3(2(3(2(0(0(1(2(3(x1))))))))))))) -> 1(1(3(1(3(2(2(0(2(3(1(2(1(2(1(2(3(x1))))))))))))))))) 2(0(1(1(0(0(2(3(3(0(2(0(1(x1))))))))))))) -> 2(2(2(1(3(1(3(3(2(2(2(2(0(3(0(1(1(x1))))))))))))))))) 2(1(1(3(1(3(3(2(1(1(1(3(3(x1))))))))))))) -> 0(2(2(1(2(3(0(0(1(2(0(2(0(2(1(2(2(x1))))))))))))))))) 2(1(3(2(0(0(3(3(2(1(3(1(2(x1))))))))))))) -> 2(2(2(1(0(2(3(1(1(1(1(3(2(3(3(2(2(x1))))))))))))))))) 2(2(0(0(3(3(0(1(2(0(3(2(2(x1))))))))))))) -> 2(2(2(3(1(1(0(0(2(1(0(1(2(2(0(1(2(x1))))))))))))))))) 3(0(2(3(0(1(2(2(3(2(2(0(3(x1))))))))))))) -> 2(2(1(3(3(2(2(2(3(3(0(2(2(2(3(3(0(x1))))))))))))))))) 3(2(2(2(3(0(3(1(3(0(3(1(2(x1))))))))))))) -> 2(2(2(0(2(3(1(2(1(2(2(3(2(2(3(3(1(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_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_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) ---------------------------------------- (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: 0(0(0(0(1(1(2(1(0(2(3(1(2(x1))))))))))))) -> 1(1(2(2(2(2(0(2(0(3(0(2(2(1(2(3(3(x1))))))))))))))))) 0(0(1(3(2(0(1(2(3(2(0(3(1(x1))))))))))))) -> 2(2(3(0(0(2(0(3(3(2(2(3(3(2(2(3(2(x1))))))))))))))))) 0(0(2(0(0(0(0(1(3(3(1(1(2(x1))))))))))))) -> 3(3(3(1(2(2(0(0(2(3(2(3(2(1(2(1(2(x1))))))))))))))))) 0(0(2(1(0(0(0(2(0(1(3(2(1(x1))))))))))))) -> 2(2(3(0(0(0(2(2(3(2(1(3(2(2(3(1(1(x1))))))))))))))))) 0(1(1(1(0(2(0(3(0(2(2(2(0(x1))))))))))))) -> 1(2(2(0(2(2(3(1(2(3(1(2(2(2(2(1(0(x1))))))))))))))))) 0(1(2(2(3(3(2(0(0(3(1(2(2(x1))))))))))))) -> 3(0(2(2(2(1(1(2(2(2(1(1(3(3(2(2(2(x1))))))))))))))))) 0(3(0(2(0(3(2(0(3(2(0(2(1(x1))))))))))))) -> 2(1(0(3(1(2(3(0(2(0(2(2(2(3(1(3(1(x1))))))))))))))))) 0(3(1(1(1(2(2(3(1(3(3(2(1(x1))))))))))))) -> 2(2(0(1(2(1(1(1(1(1(2(0(2(1(0(2(2(x1))))))))))))))))) 0(3(1(2(2(2(1(0(1(0(2(3(3(x1))))))))))))) -> 2(2(2(0(2(3(2(3(3(3(1(3(3(1(2(2(3(x1))))))))))))))))) 0(3(3(2(1(0(2(3(0(2(2(2(0(x1))))))))))))) -> 2(2(0(0(1(2(2(2(3(3(2(1(3(0(2(2(3(x1))))))))))))))))) 1(0(2(3(2(1(0(2(3(3(0(2(2(x1))))))))))))) -> 2(1(0(2(2(3(0(3(1(2(2(2(2(2(2(1(2(x1))))))))))))))))) 1(1(0(2(1(1(3(0(0(3(2(1(2(x1))))))))))))) -> 2(3(2(1(2(2(1(1(0(0(3(2(2(0(1(1(2(x1))))))))))))))))) 1(1(0(2(2(1(0(2(1(1(3(2(3(x1))))))))))))) -> 2(0(2(3(2(0(2(0(0(2(2(1(2(2(3(3(3(x1))))))))))))))))) 1(1(0(2(2(3(1(1(0(0(1(1(2(x1))))))))))))) -> 2(0(0(0(2(0(3(0(1(2(0(2(2(2(2(1(2(x1))))))))))))))))) 1(1(1(3(2(0(2(1(2(0(0(2(0(x1))))))))))))) -> 2(3(2(3(2(0(3(2(2(1(2(3(2(2(2(1(0(x1))))))))))))))))) 1(1(2(0(0(2(1(2(0(1(1(1(1(x1))))))))))))) -> 1(0(0(0(2(2(2(3(3(2(3(3(3(2(0(2(2(x1))))))))))))))))) 1(1(2(1(2(3(3(1(2(1(0(1(0(x1))))))))))))) -> 2(2(2(3(1(2(2(1(2(2(3(2(1(0(3(3(2(x1))))))))))))))))) 1(1(2(2(0(2(2(0(0(3(1(0(2(x1))))))))))))) -> 1(3(2(0(2(2(1(3(3(2(2(1(1(3(2(0(2(x1))))))))))))))))) 1(2(0(2(1(2(1(1(3(1(3(3(0(x1))))))))))))) -> 1(2(1(3(0(3(0(0(0(2(2(2(2(3(2(0(2(x1))))))))))))))))) 1(2(1(0(3(2(1(1(1(0(2(3(3(x1))))))))))))) -> 0(2(3(3(0(2(2(2(1(0(0(2(1(1(3(3(2(x1))))))))))))))))) 1(2(1(2(1(1(3(2(1(3(3(0(1(x1))))))))))))) -> 1(0(0(2(2(0(0(0(2(2(2(2(2(2(2(0(2(x1))))))))))))))))) 1(2(1(3(2(0(3(3(2(1(1(0(2(x1))))))))))))) -> 3(3(2(2(2(1(2(0(1(1(2(0(2(2(1(0(2(x1))))))))))))))))) 1(2(1(3(2(3(3(0(3(1(2(3(3(x1))))))))))))) -> 2(2(1(0(2(2(0(0(2(1(1(2(3(1(1(1(2(x1))))))))))))))))) 1(3(0(1(3(2(3(2(0(0(1(2(3(x1))))))))))))) -> 1(1(3(1(3(2(2(0(2(3(1(2(1(2(1(2(3(x1))))))))))))))))) 2(0(1(1(0(0(2(3(3(0(2(0(1(x1))))))))))))) -> 2(2(2(1(3(1(3(3(2(2(2(2(0(3(0(1(1(x1))))))))))))))))) 2(1(1(3(1(3(3(2(1(1(1(3(3(x1))))))))))))) -> 0(2(2(1(2(3(0(0(1(2(0(2(0(2(1(2(2(x1))))))))))))))))) 2(1(3(2(0(0(3(3(2(1(3(1(2(x1))))))))))))) -> 2(2(2(1(0(2(3(1(1(1(1(3(2(3(3(2(2(x1))))))))))))))))) 2(2(0(0(3(3(0(1(2(0(3(2(2(x1))))))))))))) -> 2(2(2(3(1(1(0(0(2(1(0(1(2(2(0(1(2(x1))))))))))))))))) 3(0(2(3(0(1(2(2(3(2(2(0(3(x1))))))))))))) -> 2(2(1(3(3(2(2(2(3(3(0(2(2(2(3(3(0(x1))))))))))))))))) 3(2(2(2(3(0(3(1(3(0(3(1(2(x1))))))))))))) -> 2(2(2(0(2(3(1(2(1(2(2(3(2(2(3(3(1(x1))))))))))))))))) The (relative) TRS S consists of the following rules: 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_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) 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: 0(0(0(0(1(1(2(1(0(2(3(1(2(x1))))))))))))) -> 1(1(2(2(2(2(0(2(0(3(0(2(2(1(2(3(3(x1))))))))))))))))) 0(0(1(3(2(0(1(2(3(2(0(3(1(x1))))))))))))) -> 2(2(3(0(0(2(0(3(3(2(2(3(3(2(2(3(2(x1))))))))))))))))) 0(0(2(0(0(0(0(1(3(3(1(1(2(x1))))))))))))) -> 3(3(3(1(2(2(0(0(2(3(2(3(2(1(2(1(2(x1))))))))))))))))) 0(0(2(1(0(0(0(2(0(1(3(2(1(x1))))))))))))) -> 2(2(3(0(0(0(2(2(3(2(1(3(2(2(3(1(1(x1))))))))))))))))) 0(1(1(1(0(2(0(3(0(2(2(2(0(x1))))))))))))) -> 1(2(2(0(2(2(3(1(2(3(1(2(2(2(2(1(0(x1))))))))))))))))) 0(1(2(2(3(3(2(0(0(3(1(2(2(x1))))))))))))) -> 3(0(2(2(2(1(1(2(2(2(1(1(3(3(2(2(2(x1))))))))))))))))) 0(3(0(2(0(3(2(0(3(2(0(2(1(x1))))))))))))) -> 2(1(0(3(1(2(3(0(2(0(2(2(2(3(1(3(1(x1))))))))))))))))) 0(3(1(1(1(2(2(3(1(3(3(2(1(x1))))))))))))) -> 2(2(0(1(2(1(1(1(1(1(2(0(2(1(0(2(2(x1))))))))))))))))) 0(3(1(2(2(2(1(0(1(0(2(3(3(x1))))))))))))) -> 2(2(2(0(2(3(2(3(3(3(1(3(3(1(2(2(3(x1))))))))))))))))) 0(3(3(2(1(0(2(3(0(2(2(2(0(x1))))))))))))) -> 2(2(0(0(1(2(2(2(3(3(2(1(3(0(2(2(3(x1))))))))))))))))) 1(0(2(3(2(1(0(2(3(3(0(2(2(x1))))))))))))) -> 2(1(0(2(2(3(0(3(1(2(2(2(2(2(2(1(2(x1))))))))))))))))) 1(1(0(2(1(1(3(0(0(3(2(1(2(x1))))))))))))) -> 2(3(2(1(2(2(1(1(0(0(3(2(2(0(1(1(2(x1))))))))))))))))) 1(1(0(2(2(1(0(2(1(1(3(2(3(x1))))))))))))) -> 2(0(2(3(2(0(2(0(0(2(2(1(2(2(3(3(3(x1))))))))))))))))) 1(1(0(2(2(3(1(1(0(0(1(1(2(x1))))))))))))) -> 2(0(0(0(2(0(3(0(1(2(0(2(2(2(2(1(2(x1))))))))))))))))) 1(1(1(3(2(0(2(1(2(0(0(2(0(x1))))))))))))) -> 2(3(2(3(2(0(3(2(2(1(2(3(2(2(2(1(0(x1))))))))))))))))) 1(1(2(0(0(2(1(2(0(1(1(1(1(x1))))))))))))) -> 1(0(0(0(2(2(2(3(3(2(3(3(3(2(0(2(2(x1))))))))))))))))) 1(1(2(1(2(3(3(1(2(1(0(1(0(x1))))))))))))) -> 2(2(2(3(1(2(2(1(2(2(3(2(1(0(3(3(2(x1))))))))))))))))) 1(1(2(2(0(2(2(0(0(3(1(0(2(x1))))))))))))) -> 1(3(2(0(2(2(1(3(3(2(2(1(1(3(2(0(2(x1))))))))))))))))) 1(2(0(2(1(2(1(1(3(1(3(3(0(x1))))))))))))) -> 1(2(1(3(0(3(0(0(0(2(2(2(2(3(2(0(2(x1))))))))))))))))) 1(2(1(0(3(2(1(1(1(0(2(3(3(x1))))))))))))) -> 0(2(3(3(0(2(2(2(1(0(0(2(1(1(3(3(2(x1))))))))))))))))) 1(2(1(2(1(1(3(2(1(3(3(0(1(x1))))))))))))) -> 1(0(0(2(2(0(0(0(2(2(2(2(2(2(2(0(2(x1))))))))))))))))) 1(2(1(3(2(0(3(3(2(1(1(0(2(x1))))))))))))) -> 3(3(2(2(2(1(2(0(1(1(2(0(2(2(1(0(2(x1))))))))))))))))) 1(2(1(3(2(3(3(0(3(1(2(3(3(x1))))))))))))) -> 2(2(1(0(2(2(0(0(2(1(1(2(3(1(1(1(2(x1))))))))))))))))) 1(3(0(1(3(2(3(2(0(0(1(2(3(x1))))))))))))) -> 1(1(3(1(3(2(2(0(2(3(1(2(1(2(1(2(3(x1))))))))))))))))) 2(0(1(1(0(0(2(3(3(0(2(0(1(x1))))))))))))) -> 2(2(2(1(3(1(3(3(2(2(2(2(0(3(0(1(1(x1))))))))))))))))) 2(1(1(3(1(3(3(2(1(1(1(3(3(x1))))))))))))) -> 0(2(2(1(2(3(0(0(1(2(0(2(0(2(1(2(2(x1))))))))))))))))) 2(1(3(2(0(0(3(3(2(1(3(1(2(x1))))))))))))) -> 2(2(2(1(0(2(3(1(1(1(1(3(2(3(3(2(2(x1))))))))))))))))) 2(2(0(0(3(3(0(1(2(0(3(2(2(x1))))))))))))) -> 2(2(2(3(1(1(0(0(2(1(0(1(2(2(0(1(2(x1))))))))))))))))) 3(0(2(3(0(1(2(2(3(2(2(0(3(x1))))))))))))) -> 2(2(1(3(3(2(2(2(3(3(0(2(2(2(3(3(0(x1))))))))))))))))) 3(2(2(2(3(0(3(1(3(0(3(1(2(x1))))))))))))) -> 2(2(2(0(2(3(1(2(1(2(2(3(2(2(3(3(1(x1))))))))))))))))) The (relative) TRS S consists of the following rules: 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_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) 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: 0(0(0(0(1(1(2(1(0(2(3(1(2(x1))))))))))))) -> 1(1(2(2(2(2(0(2(0(3(0(2(2(1(2(3(3(x1))))))))))))))))) 0(0(1(3(2(0(1(2(3(2(0(3(1(x1))))))))))))) -> 2(2(3(0(0(2(0(3(3(2(2(3(3(2(2(3(2(x1))))))))))))))))) 0(0(2(0(0(0(0(1(3(3(1(1(2(x1))))))))))))) -> 3(3(3(1(2(2(0(0(2(3(2(3(2(1(2(1(2(x1))))))))))))))))) 0(0(2(1(0(0(0(2(0(1(3(2(1(x1))))))))))))) -> 2(2(3(0(0(0(2(2(3(2(1(3(2(2(3(1(1(x1))))))))))))))))) 0(1(1(1(0(2(0(3(0(2(2(2(0(x1))))))))))))) -> 1(2(2(0(2(2(3(1(2(3(1(2(2(2(2(1(0(x1))))))))))))))))) 0(1(2(2(3(3(2(0(0(3(1(2(2(x1))))))))))))) -> 3(0(2(2(2(1(1(2(2(2(1(1(3(3(2(2(2(x1))))))))))))))))) 0(3(0(2(0(3(2(0(3(2(0(2(1(x1))))))))))))) -> 2(1(0(3(1(2(3(0(2(0(2(2(2(3(1(3(1(x1))))))))))))))))) 0(3(1(1(1(2(2(3(1(3(3(2(1(x1))))))))))))) -> 2(2(0(1(2(1(1(1(1(1(2(0(2(1(0(2(2(x1))))))))))))))))) 0(3(1(2(2(2(1(0(1(0(2(3(3(x1))))))))))))) -> 2(2(2(0(2(3(2(3(3(3(1(3(3(1(2(2(3(x1))))))))))))))))) 0(3(3(2(1(0(2(3(0(2(2(2(0(x1))))))))))))) -> 2(2(0(0(1(2(2(2(3(3(2(1(3(0(2(2(3(x1))))))))))))))))) 1(0(2(3(2(1(0(2(3(3(0(2(2(x1))))))))))))) -> 2(1(0(2(2(3(0(3(1(2(2(2(2(2(2(1(2(x1))))))))))))))))) 1(1(0(2(1(1(3(0(0(3(2(1(2(x1))))))))))))) -> 2(3(2(1(2(2(1(1(0(0(3(2(2(0(1(1(2(x1))))))))))))))))) 1(1(0(2(2(1(0(2(1(1(3(2(3(x1))))))))))))) -> 2(0(2(3(2(0(2(0(0(2(2(1(2(2(3(3(3(x1))))))))))))))))) 1(1(0(2(2(3(1(1(0(0(1(1(2(x1))))))))))))) -> 2(0(0(0(2(0(3(0(1(2(0(2(2(2(2(1(2(x1))))))))))))))))) 1(1(1(3(2(0(2(1(2(0(0(2(0(x1))))))))))))) -> 2(3(2(3(2(0(3(2(2(1(2(3(2(2(2(1(0(x1))))))))))))))))) 1(1(2(0(0(2(1(2(0(1(1(1(1(x1))))))))))))) -> 1(0(0(0(2(2(2(3(3(2(3(3(3(2(0(2(2(x1))))))))))))))))) 1(1(2(1(2(3(3(1(2(1(0(1(0(x1))))))))))))) -> 2(2(2(3(1(2(2(1(2(2(3(2(1(0(3(3(2(x1))))))))))))))))) 1(1(2(2(0(2(2(0(0(3(1(0(2(x1))))))))))))) -> 1(3(2(0(2(2(1(3(3(2(2(1(1(3(2(0(2(x1))))))))))))))))) 1(2(0(2(1(2(1(1(3(1(3(3(0(x1))))))))))))) -> 1(2(1(3(0(3(0(0(0(2(2(2(2(3(2(0(2(x1))))))))))))))))) 1(2(1(0(3(2(1(1(1(0(2(3(3(x1))))))))))))) -> 0(2(3(3(0(2(2(2(1(0(0(2(1(1(3(3(2(x1))))))))))))))))) 1(2(1(2(1(1(3(2(1(3(3(0(1(x1))))))))))))) -> 1(0(0(2(2(0(0(0(2(2(2(2(2(2(2(0(2(x1))))))))))))))))) 1(2(1(3(2(0(3(3(2(1(1(0(2(x1))))))))))))) -> 3(3(2(2(2(1(2(0(1(1(2(0(2(2(1(0(2(x1))))))))))))))))) 1(2(1(3(2(3(3(0(3(1(2(3(3(x1))))))))))))) -> 2(2(1(0(2(2(0(0(2(1(1(2(3(1(1(1(2(x1))))))))))))))))) 1(3(0(1(3(2(3(2(0(0(1(2(3(x1))))))))))))) -> 1(1(3(1(3(2(2(0(2(3(1(2(1(2(1(2(3(x1))))))))))))))))) 2(0(1(1(0(0(2(3(3(0(2(0(1(x1))))))))))))) -> 2(2(2(1(3(1(3(3(2(2(2(2(0(3(0(1(1(x1))))))))))))))))) 2(1(1(3(1(3(3(2(1(1(1(3(3(x1))))))))))))) -> 0(2(2(1(2(3(0(0(1(2(0(2(0(2(1(2(2(x1))))))))))))))))) 2(1(3(2(0(0(3(3(2(1(3(1(2(x1))))))))))))) -> 2(2(2(1(0(2(3(1(1(1(1(3(2(3(3(2(2(x1))))))))))))))))) 2(2(0(0(3(3(0(1(2(0(3(2(2(x1))))))))))))) -> 2(2(2(3(1(1(0(0(2(1(0(1(2(2(0(1(2(x1))))))))))))))))) 3(0(2(3(0(1(2(2(3(2(2(0(3(x1))))))))))))) -> 2(2(1(3(3(2(2(2(3(3(0(2(2(2(3(3(0(x1))))))))))))))))) 3(2(2(2(3(0(3(1(3(0(3(1(2(x1))))))))))))) -> 2(2(2(0(2(3(1(2(1(2(2(3(2(2(3(3(1(x1))))))))))))))))) 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_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) 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 2. The certificate found is represented by the following graph. "[52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 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, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534] {(52,53,[0_1|0, 1_1|0, 2_1|0, 3_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0]), (52,54,[0_1|1, 1_1|1, 2_1|1, 3_1|1]), (52,55,[1_1|2]), (52,71,[2_1|2]), (52,87,[3_1|2]), (52,103,[2_1|2]), (52,119,[1_1|2]), (52,135,[3_1|2]), (52,151,[2_1|2]), (52,167,[2_1|2]), (52,183,[2_1|2]), (52,199,[2_1|2]), (52,215,[2_1|2]), (52,231,[2_1|2]), (52,247,[2_1|2]), (52,263,[2_1|2]), (52,279,[2_1|2]), (52,295,[1_1|2]), (52,311,[2_1|2]), (52,327,[1_1|2]), (52,343,[1_1|2]), (52,359,[0_1|2]), (52,375,[1_1|2]), (52,391,[3_1|2]), (52,407,[2_1|2]), (52,423,[1_1|2]), (52,439,[2_1|2]), (52,455,[0_1|2]), (52,471,[2_1|2]), (52,487,[2_1|2]), (52,503,[2_1|2]), (52,519,[2_1|2]), (53,53,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0]), (54,53,[encArg_1|1]), (54,54,[0_1|1, 1_1|1, 2_1|1, 3_1|1]), (54,55,[1_1|2]), (54,71,[2_1|2]), (54,87,[3_1|2]), (54,103,[2_1|2]), (54,119,[1_1|2]), (54,135,[3_1|2]), (54,151,[2_1|2]), (54,167,[2_1|2]), (54,183,[2_1|2]), (54,199,[2_1|2]), (54,215,[2_1|2]), (54,231,[2_1|2]), (54,247,[2_1|2]), (54,263,[2_1|2]), (54,279,[2_1|2]), (54,295,[1_1|2]), (54,311,[2_1|2]), (54,327,[1_1|2]), (54,343,[1_1|2]), (54,359,[0_1|2]), (54,375,[1_1|2]), (54,391,[3_1|2]), (54,407,[2_1|2]), (54,423,[1_1|2]), (54,439,[2_1|2]), (54,455,[0_1|2]), (54,471,[2_1|2]), (54,487,[2_1|2]), (54,503,[2_1|2]), (54,519,[2_1|2]), (55,56,[1_1|2]), (56,57,[2_1|2]), (57,58,[2_1|2]), (58,59,[2_1|2]), (59,60,[2_1|2]), (60,61,[0_1|2]), (61,62,[2_1|2]), (62,63,[0_1|2]), (63,64,[3_1|2]), (64,65,[0_1|2]), (65,66,[2_1|2]), (66,67,[2_1|2]), (67,68,[1_1|2]), (68,69,[2_1|2]), (69,70,[3_1|2]), (70,54,[3_1|2]), (70,71,[3_1|2]), (70,103,[3_1|2]), (70,151,[3_1|2]), (70,167,[3_1|2]), (70,183,[3_1|2]), (70,199,[3_1|2]), (70,215,[3_1|2]), (70,231,[3_1|2]), (70,247,[3_1|2]), (70,263,[3_1|2]), (70,279,[3_1|2]), (70,311,[3_1|2]), (70,407,[3_1|2]), (70,439,[3_1|2]), (70,471,[3_1|2]), (70,487,[3_1|2]), (70,503,[3_1|2, 2_1|2]), (70,519,[3_1|2, 2_1|2]), (70,120,[3_1|2]), (70,344,[3_1|2]), (71,72,[2_1|2]), (72,73,[3_1|2]), (73,74,[0_1|2]), (74,75,[0_1|2]), (75,76,[2_1|2]), (76,77,[0_1|2]), (77,78,[3_1|2]), (78,79,[3_1|2]), (79,80,[2_1|2]), (80,81,[2_1|2]), (81,82,[3_1|2]), (82,83,[3_1|2]), (83,84,[2_1|2]), (84,85,[2_1|2]), (85,86,[3_1|2]), (85,519,[2_1|2]), (86,54,[2_1|2]), (86,55,[2_1|2]), (86,119,[2_1|2]), (86,295,[2_1|2]), (86,327,[2_1|2]), (86,343,[2_1|2]), (86,375,[2_1|2]), (86,423,[2_1|2]), (86,439,[2_1|2]), (86,455,[0_1|2]), (86,471,[2_1|2]), (86,487,[2_1|2]), (87,88,[3_1|2]), (88,89,[3_1|2]), (89,90,[1_1|2]), (90,91,[2_1|2]), (91,92,[2_1|2]), (92,93,[0_1|2]), (93,94,[0_1|2]), (94,95,[2_1|2]), (95,96,[3_1|2]), (96,97,[2_1|2]), (97,98,[3_1|2]), (98,99,[2_1|2]), (99,100,[1_1|2]), (99,375,[1_1|2]), (100,101,[2_1|2]), (101,102,[1_1|2]), (101,343,[1_1|2]), (101,359,[0_1|2]), (101,375,[1_1|2]), (101,391,[3_1|2]), (101,407,[2_1|2]), (102,54,[2_1|2]), (102,71,[2_1|2]), (102,103,[2_1|2]), (102,151,[2_1|2]), (102,167,[2_1|2]), (102,183,[2_1|2]), (102,199,[2_1|2]), (102,215,[2_1|2]), (102,231,[2_1|2]), (102,247,[2_1|2]), (102,263,[2_1|2]), (102,279,[2_1|2]), (102,311,[2_1|2]), (102,407,[2_1|2]), (102,439,[2_1|2]), (102,471,[2_1|2]), (102,487,[2_1|2]), (102,503,[2_1|2]), (102,519,[2_1|2]), (102,120,[2_1|2]), (102,344,[2_1|2]), (102,57,[2_1|2]), (102,455,[0_1|2]), (103,104,[2_1|2]), (104,105,[3_1|2]), (105,106,[0_1|2]), (106,107,[0_1|2]), (107,108,[0_1|2]), (108,109,[2_1|2]), (109,110,[2_1|2]), (110,111,[3_1|2]), (111,112,[2_1|2]), (112,113,[1_1|2]), (113,114,[3_1|2]), (114,115,[2_1|2]), (115,116,[2_1|2]), (116,117,[3_1|2]), (117,118,[1_1|2]), (117,231,[2_1|2]), (117,247,[2_1|2]), (117,263,[2_1|2]), (117,279,[2_1|2]), (117,295,[1_1|2]), (117,311,[2_1|2]), (117,327,[1_1|2]), (118,54,[1_1|2]), (118,55,[1_1|2]), (118,119,[1_1|2]), (118,295,[1_1|2]), (118,327,[1_1|2]), (118,343,[1_1|2]), (118,375,[1_1|2]), (118,423,[1_1|2]), (118,152,[1_1|2]), (118,216,[1_1|2]), (118,215,[2_1|2]), (118,231,[2_1|2]), (118,247,[2_1|2]), (118,263,[2_1|2]), (118,279,[2_1|2]), (118,311,[2_1|2]), (118,359,[0_1|2]), (118,391,[3_1|2]), (118,407,[2_1|2]), (119,120,[2_1|2]), (120,121,[2_1|2]), (121,122,[0_1|2]), (122,123,[2_1|2]), (123,124,[2_1|2]), (124,125,[3_1|2]), (125,126,[1_1|2]), (126,127,[2_1|2]), (127,128,[3_1|2]), (128,129,[1_1|2]), (129,130,[2_1|2]), (130,131,[2_1|2]), (131,132,[2_1|2]), (132,133,[2_1|2]), (133,134,[1_1|2]), (133,215,[2_1|2]), (134,54,[0_1|2]), (134,359,[0_1|2]), (134,455,[0_1|2]), (134,248,[0_1|2]), (134,264,[0_1|2]), (134,169,[0_1|2]), (134,201,[0_1|2]), (134,186,[0_1|2]), (134,522,[0_1|2]), (134,55,[1_1|2]), (134,71,[2_1|2]), (134,87,[3_1|2]), (134,103,[2_1|2]), (134,119,[1_1|2]), (134,135,[3_1|2]), (134,151,[2_1|2]), (134,167,[2_1|2]), (134,183,[2_1|2]), (134,199,[2_1|2]), (135,136,[0_1|2]), (136,137,[2_1|2]), (137,138,[2_1|2]), (138,139,[2_1|2]), (139,140,[1_1|2]), (140,141,[1_1|2]), (141,142,[2_1|2]), (142,143,[2_1|2]), (143,144,[2_1|2]), (144,145,[1_1|2]), (145,146,[1_1|2]), (146,147,[3_1|2]), (147,148,[3_1|2]), (147,519,[2_1|2]), (148,149,[2_1|2]), (149,150,[2_1|2]), (149,487,[2_1|2]), (150,54,[2_1|2]), (150,71,[2_1|2]), (150,103,[2_1|2]), (150,151,[2_1|2]), (150,167,[2_1|2]), (150,183,[2_1|2]), (150,199,[2_1|2]), (150,215,[2_1|2]), (150,231,[2_1|2]), (150,247,[2_1|2]), (150,263,[2_1|2]), (150,279,[2_1|2]), (150,311,[2_1|2]), (150,407,[2_1|2]), (150,439,[2_1|2]), (150,471,[2_1|2]), (150,487,[2_1|2]), (150,503,[2_1|2]), (150,519,[2_1|2]), (150,72,[2_1|2]), (150,104,[2_1|2]), (150,168,[2_1|2]), (150,184,[2_1|2]), (150,200,[2_1|2]), (150,312,[2_1|2]), (150,408,[2_1|2]), (150,440,[2_1|2]), (150,472,[2_1|2]), (150,488,[2_1|2]), (150,504,[2_1|2]), (150,520,[2_1|2]), (150,121,[2_1|2]), (150,455,[0_1|2]), (151,152,[1_1|2]), (152,153,[0_1|2]), (153,154,[3_1|2]), (154,155,[1_1|2]), (155,156,[2_1|2]), (156,157,[3_1|2]), (157,158,[0_1|2]), (158,159,[2_1|2]), (159,160,[0_1|2]), (160,161,[2_1|2]), (161,162,[2_1|2]), (162,163,[2_1|2]), (163,164,[3_1|2]), (164,165,[1_1|2]), (165,166,[3_1|2]), (166,54,[1_1|2]), (166,55,[1_1|2]), (166,119,[1_1|2]), (166,295,[1_1|2]), (166,327,[1_1|2]), (166,343,[1_1|2]), (166,375,[1_1|2]), (166,423,[1_1|2]), (166,152,[1_1|2]), (166,216,[1_1|2]), (166,215,[2_1|2]), (166,231,[2_1|2]), (166,247,[2_1|2]), (166,263,[2_1|2]), (166,279,[2_1|2]), (166,311,[2_1|2]), (166,359,[0_1|2]), (166,391,[3_1|2]), (166,407,[2_1|2]), (167,168,[2_1|2]), (168,169,[0_1|2]), (169,170,[1_1|2]), (170,171,[2_1|2]), (171,172,[1_1|2]), (172,173,[1_1|2]), (173,174,[1_1|2]), (174,175,[1_1|2]), (175,176,[1_1|2]), (176,177,[2_1|2]), (177,178,[0_1|2]), (178,179,[2_1|2]), (179,180,[1_1|2]), (180,181,[0_1|2]), (181,182,[2_1|2]), 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(212,213,[2_1|2]), (213,214,[2_1|2]), (214,54,[3_1|2]), (214,359,[3_1|2]), (214,455,[3_1|2]), (214,248,[3_1|2]), (214,264,[3_1|2]), (214,169,[3_1|2]), (214,201,[3_1|2]), (214,186,[3_1|2]), (214,522,[3_1|2]), (214,503,[2_1|2]), (214,519,[2_1|2]), (215,216,[1_1|2]), (216,217,[0_1|2]), (217,218,[2_1|2]), (218,219,[2_1|2]), (219,220,[3_1|2]), (220,221,[0_1|2]), (221,222,[3_1|2]), (222,223,[1_1|2]), (223,224,[2_1|2]), (224,225,[2_1|2]), (225,226,[2_1|2]), (226,227,[2_1|2]), (227,228,[2_1|2]), (228,229,[2_1|2]), (229,230,[1_1|2]), (229,343,[1_1|2]), (229,359,[0_1|2]), (229,375,[1_1|2]), (229,391,[3_1|2]), (229,407,[2_1|2]), (230,54,[2_1|2]), (230,71,[2_1|2]), (230,103,[2_1|2]), (230,151,[2_1|2]), (230,167,[2_1|2]), (230,183,[2_1|2]), (230,199,[2_1|2]), (230,215,[2_1|2]), (230,231,[2_1|2]), (230,247,[2_1|2]), (230,263,[2_1|2]), (230,279,[2_1|2]), (230,311,[2_1|2]), (230,407,[2_1|2]), (230,439,[2_1|2]), (230,471,[2_1|2]), (230,487,[2_1|2]), (230,503,[2_1|2]), (230,519,[2_1|2]), 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(246,407,[2_1|2]), (246,439,[2_1|2]), (246,471,[2_1|2]), (246,487,[2_1|2]), (246,503,[2_1|2]), (246,519,[2_1|2]), (246,120,[2_1|2]), (246,344,[2_1|2]), (246,455,[0_1|2]), (247,248,[0_1|2]), (248,249,[2_1|2]), (249,250,[3_1|2]), (250,251,[2_1|2]), (251,252,[0_1|2]), (252,253,[2_1|2]), (253,254,[0_1|2]), (254,255,[0_1|2]), (255,256,[2_1|2]), (256,257,[2_1|2]), (257,258,[1_1|2]), (258,259,[2_1|2]), (259,260,[2_1|2]), (260,261,[3_1|2]), (261,262,[3_1|2]), (262,54,[3_1|2]), (262,87,[3_1|2]), (262,135,[3_1|2]), (262,391,[3_1|2]), (262,232,[3_1|2]), (262,280,[3_1|2]), (262,503,[2_1|2]), (262,519,[2_1|2]), (263,264,[0_1|2]), (264,265,[0_1|2]), (265,266,[0_1|2]), (266,267,[2_1|2]), (267,268,[0_1|2]), (268,269,[3_1|2]), (269,270,[0_1|2]), (270,271,[1_1|2]), (271,272,[2_1|2]), (272,273,[0_1|2]), (273,274,[2_1|2]), (274,275,[2_1|2]), (275,276,[2_1|2]), (276,277,[2_1|2]), (277,278,[1_1|2]), (277,343,[1_1|2]), (277,359,[0_1|2]), (277,375,[1_1|2]), (277,391,[3_1|2]), (277,407,[2_1|2]), (278,54,[2_1|2]), (278,71,[2_1|2]), (278,103,[2_1|2]), (278,151,[2_1|2]), (278,167,[2_1|2]), (278,183,[2_1|2]), (278,199,[2_1|2]), (278,215,[2_1|2]), (278,231,[2_1|2]), (278,247,[2_1|2]), (278,263,[2_1|2]), (278,279,[2_1|2]), (278,311,[2_1|2]), (278,407,[2_1|2]), (278,439,[2_1|2]), (278,471,[2_1|2]), (278,487,[2_1|2]), (278,503,[2_1|2]), (278,519,[2_1|2]), (278,120,[2_1|2]), (278,344,[2_1|2]), (278,57,[2_1|2]), (278,455,[0_1|2]), (279,280,[3_1|2]), (280,281,[2_1|2]), (281,282,[3_1|2]), (282,283,[2_1|2]), (283,284,[0_1|2]), (284,285,[3_1|2]), (285,286,[2_1|2]), (286,287,[2_1|2]), (287,288,[1_1|2]), (288,289,[2_1|2]), (289,290,[3_1|2]), (290,291,[2_1|2]), (291,292,[2_1|2]), (292,293,[2_1|2]), (293,294,[1_1|2]), (293,215,[2_1|2]), (294,54,[0_1|2]), (294,359,[0_1|2]), (294,455,[0_1|2]), (294,248,[0_1|2]), (294,264,[0_1|2]), (294,55,[1_1|2]), (294,71,[2_1|2]), (294,87,[3_1|2]), (294,103,[2_1|2]), (294,119,[1_1|2]), (294,135,[3_1|2]), (294,151,[2_1|2]), (294,167,[2_1|2]), (294,183,[2_1|2]), (294,199,[2_1|2]), (295,296,[0_1|2]), (296,297,[0_1|2]), (297,298,[0_1|2]), (298,299,[2_1|2]), (299,300,[2_1|2]), (300,301,[2_1|2]), (301,302,[3_1|2]), (302,303,[3_1|2]), (303,304,[2_1|2]), (304,305,[3_1|2]), (305,306,[3_1|2]), (306,307,[3_1|2]), (307,308,[2_1|2]), (308,309,[0_1|2]), (309,310,[2_1|2]), (309,487,[2_1|2]), (310,54,[2_1|2]), (310,55,[2_1|2]), (310,119,[2_1|2]), (310,295,[2_1|2]), (310,327,[2_1|2]), (310,343,[2_1|2]), (310,375,[2_1|2]), (310,423,[2_1|2]), (310,56,[2_1|2]), (310,424,[2_1|2]), (310,439,[2_1|2]), (310,455,[0_1|2]), (310,471,[2_1|2]), (310,487,[2_1|2]), (311,312,[2_1|2]), (312,313,[2_1|2]), (313,314,[3_1|2]), (314,315,[1_1|2]), (315,316,[2_1|2]), (316,317,[2_1|2]), (317,318,[1_1|2]), (318,319,[2_1|2]), (319,320,[2_1|2]), (320,321,[3_1|2]), (321,322,[2_1|2]), (322,323,[1_1|2]), (323,324,[0_1|2]), (323,199,[2_1|2]), (324,325,[3_1|2]), (325,326,[3_1|2]), (325,519,[2_1|2]), (326,54,[2_1|2]), (326,359,[2_1|2]), (326,455,[2_1|2, 0_1|2]), (326,296,[2_1|2]), (326,376,[2_1|2]), (326,439,[2_1|2]), (326,471,[2_1|2]), (326,487,[2_1|2]), (327,328,[3_1|2]), (328,329,[2_1|2]), (329,330,[0_1|2]), (330,331,[2_1|2]), (331,332,[2_1|2]), (332,333,[1_1|2]), (333,334,[3_1|2]), (334,335,[3_1|2]), (335,336,[2_1|2]), (336,337,[2_1|2]), (337,338,[1_1|2]), (338,339,[1_1|2]), (339,340,[3_1|2]), (340,341,[2_1|2]), (341,342,[0_1|2]), (342,54,[2_1|2]), (342,71,[2_1|2]), (342,103,[2_1|2]), (342,151,[2_1|2]), (342,167,[2_1|2]), (342,183,[2_1|2]), (342,199,[2_1|2]), (342,215,[2_1|2]), (342,231,[2_1|2]), (342,247,[2_1|2]), (342,263,[2_1|2]), (342,279,[2_1|2]), (342,311,[2_1|2]), (342,407,[2_1|2]), (342,439,[2_1|2]), (342,471,[2_1|2]), (342,487,[2_1|2]), (342,503,[2_1|2]), (342,519,[2_1|2]), (342,360,[2_1|2]), (342,456,[2_1|2]), (342,455,[0_1|2]), (343,344,[2_1|2]), (344,345,[1_1|2]), (345,346,[3_1|2]), (346,347,[0_1|2]), (347,348,[3_1|2]), (348,349,[0_1|2]), (349,350,[0_1|2]), (350,351,[0_1|2]), (351,352,[2_1|2]), (352,353,[2_1|2]), (353,354,[2_1|2]), (354,355,[2_1|2]), (355,356,[3_1|2]), (356,357,[2_1|2]), (357,358,[0_1|2]), (358,54,[2_1|2]), (358,359,[2_1|2]), (358,455,[2_1|2, 0_1|2]), (358,136,[2_1|2]), (358,439,[2_1|2]), (358,471,[2_1|2]), (358,487,[2_1|2]), (359,360,[2_1|2]), (360,361,[3_1|2]), (361,362,[3_1|2]), (362,363,[0_1|2]), (363,364,[2_1|2]), (364,365,[2_1|2]), (365,366,[2_1|2]), (366,367,[1_1|2]), (367,368,[0_1|2]), (368,369,[0_1|2]), (369,370,[2_1|2]), (370,371,[1_1|2]), (371,372,[1_1|2]), (372,373,[3_1|2]), (373,374,[3_1|2]), (373,519,[2_1|2]), (374,54,[2_1|2]), (374,87,[2_1|2]), (374,135,[2_1|2]), (374,391,[2_1|2]), (374,88,[2_1|2]), (374,392,[2_1|2]), (374,362,[2_1|2]), (374,439,[2_1|2]), (374,455,[0_1|2]), (374,471,[2_1|2]), (374,487,[2_1|2]), (375,376,[0_1|2]), (376,377,[0_1|2]), (377,378,[2_1|2]), (378,379,[2_1|2]), (379,380,[0_1|2]), (380,381,[0_1|2]), (381,382,[0_1|2]), (382,383,[2_1|2]), (383,384,[2_1|2]), (384,385,[2_1|2]), (385,386,[2_1|2]), (386,387,[2_1|2]), (387,388,[2_1|2]), (388,389,[2_1|2]), (389,390,[0_1|2]), (390,54,[2_1|2]), (390,55,[2_1|2]), (390,119,[2_1|2]), (390,295,[2_1|2]), (390,327,[2_1|2]), (390,343,[2_1|2]), (390,375,[2_1|2]), (390,423,[2_1|2]), (390,439,[2_1|2]), (390,455,[0_1|2]), (390,471,[2_1|2]), (390,487,[2_1|2]), (391,392,[3_1|2]), (392,393,[2_1|2]), (393,394,[2_1|2]), (394,395,[2_1|2]), (395,396,[1_1|2]), (396,397,[2_1|2]), (397,398,[0_1|2]), (398,399,[1_1|2]), (399,400,[1_1|2]), (400,401,[2_1|2]), (401,402,[0_1|2]), (402,403,[2_1|2]), (403,404,[2_1|2]), (404,405,[1_1|2]), (404,215,[2_1|2]), (405,406,[0_1|2]), (406,54,[2_1|2]), (406,71,[2_1|2]), (406,103,[2_1|2]), (406,151,[2_1|2]), (406,167,[2_1|2]), (406,183,[2_1|2]), (406,199,[2_1|2]), (406,215,[2_1|2]), (406,231,[2_1|2]), (406,247,[2_1|2]), (406,263,[2_1|2]), (406,279,[2_1|2]), (406,311,[2_1|2]), (406,407,[2_1|2]), (406,439,[2_1|2]), (406,471,[2_1|2]), (406,487,[2_1|2]), (406,503,[2_1|2]), (406,519,[2_1|2]), (406,360,[2_1|2]), (406,456,[2_1|2]), (406,455,[0_1|2]), (407,408,[2_1|2]), (408,409,[1_1|2]), (409,410,[0_1|2]), (410,411,[2_1|2]), (411,412,[2_1|2]), (412,413,[0_1|2]), (413,414,[0_1|2]), (414,415,[2_1|2]), (415,416,[1_1|2]), (416,417,[1_1|2]), (417,418,[2_1|2]), (418,419,[3_1|2]), (419,420,[1_1|2]), (420,421,[1_1|2]), (420,295,[1_1|2]), (420,311,[2_1|2]), (420,327,[1_1|2]), (421,422,[1_1|2]), (421,343,[1_1|2]), (421,359,[0_1|2]), (421,375,[1_1|2]), (421,391,[3_1|2]), (421,407,[2_1|2]), (422,54,[2_1|2]), (422,87,[2_1|2]), (422,135,[2_1|2]), (422,391,[2_1|2]), (422,88,[2_1|2]), (422,392,[2_1|2]), (422,439,[2_1|2]), (422,455,[0_1|2]), (422,471,[2_1|2]), (422,487,[2_1|2]), (423,424,[1_1|2]), (424,425,[3_1|2]), (425,426,[1_1|2]), (426,427,[3_1|2]), (427,428,[2_1|2]), (428,429,[2_1|2]), (429,430,[0_1|2]), (430,431,[2_1|2]), (431,432,[3_1|2]), (432,433,[1_1|2]), (433,434,[2_1|2]), (434,435,[1_1|2]), (435,436,[2_1|2]), (436,437,[1_1|2]), (437,438,[2_1|2]), (438,54,[3_1|2]), (438,87,[3_1|2]), (438,135,[3_1|2]), (438,391,[3_1|2]), (438,232,[3_1|2]), (438,280,[3_1|2]), (438,503,[2_1|2]), (438,519,[2_1|2]), (439,440,[2_1|2]), (440,441,[2_1|2]), (441,442,[1_1|2]), (442,443,[3_1|2]), (443,444,[1_1|2]), (444,445,[3_1|2]), (445,446,[3_1|2]), (446,447,[2_1|2]), (447,448,[2_1|2]), (448,449,[2_1|2]), (449,450,[2_1|2]), (450,451,[0_1|2]), (451,452,[3_1|2]), (452,453,[0_1|2]), (452,119,[1_1|2]), (453,454,[1_1|2]), (453,231,[2_1|2]), (453,247,[2_1|2]), (453,263,[2_1|2]), (453,279,[2_1|2]), (453,295,[1_1|2]), (453,311,[2_1|2]), (453,327,[1_1|2]), (454,54,[1_1|2]), (454,55,[1_1|2]), (454,119,[1_1|2]), (454,295,[1_1|2]), (454,327,[1_1|2]), (454,343,[1_1|2]), (454,375,[1_1|2]), (454,423,[1_1|2]), (454,215,[2_1|2]), (454,231,[2_1|2]), (454,247,[2_1|2]), (454,263,[2_1|2]), (454,279,[2_1|2]), (454,311,[2_1|2]), (454,359,[0_1|2]), (454,391,[3_1|2]), (454,407,[2_1|2]), (455,456,[2_1|2]), (456,457,[2_1|2]), (457,458,[1_1|2]), (458,459,[2_1|2]), (459,460,[3_1|2]), (460,461,[0_1|2]), (461,462,[0_1|2]), (462,463,[1_1|2]), (463,464,[2_1|2]), (464,465,[0_1|2]), (465,466,[2_1|2]), (466,467,[0_1|2]), (467,468,[2_1|2]), (468,469,[1_1|2]), (469,470,[2_1|2]), (469,487,[2_1|2]), (470,54,[2_1|2]), (470,87,[2_1|2]), (470,135,[2_1|2]), (470,391,[2_1|2]), (470,88,[2_1|2]), (470,392,[2_1|2]), (470,439,[2_1|2]), (470,455,[0_1|2]), (470,471,[2_1|2]), (470,487,[2_1|2]), (471,472,[2_1|2]), (472,473,[2_1|2]), (473,474,[1_1|2]), (474,475,[0_1|2]), (475,476,[2_1|2]), (476,477,[3_1|2]), (477,478,[1_1|2]), (478,479,[1_1|2]), (479,480,[1_1|2]), (480,481,[1_1|2]), (481,482,[3_1|2]), (482,483,[2_1|2]), (483,484,[3_1|2]), (484,485,[3_1|2]), (484,519,[2_1|2]), (485,486,[2_1|2]), (485,487,[2_1|2]), (486,54,[2_1|2]), (486,71,[2_1|2]), (486,103,[2_1|2]), (486,151,[2_1|2]), (486,167,[2_1|2]), (486,183,[2_1|2]), (486,199,[2_1|2]), (486,215,[2_1|2]), (486,231,[2_1|2]), (486,247,[2_1|2]), (486,263,[2_1|2]), (486,279,[2_1|2]), (486,311,[2_1|2]), (486,407,[2_1|2]), (486,439,[2_1|2]), (486,471,[2_1|2]), (486,487,[2_1|2]), (486,503,[2_1|2]), (486,519,[2_1|2]), (486,120,[2_1|2]), (486,344,[2_1|2]), (486,455,[0_1|2]), (487,488,[2_1|2]), (488,489,[2_1|2]), (489,490,[3_1|2]), (490,491,[1_1|2]), (491,492,[1_1|2]), (492,493,[0_1|2]), (493,494,[0_1|2]), (494,495,[2_1|2]), (495,496,[1_1|2]), (496,497,[0_1|2]), (497,498,[1_1|2]), (498,499,[2_1|2]), (499,500,[2_1|2]), (500,501,[0_1|2]), (500,135,[3_1|2]), (501,502,[1_1|2]), (501,343,[1_1|2]), (501,359,[0_1|2]), (501,375,[1_1|2]), (501,391,[3_1|2]), (501,407,[2_1|2]), (502,54,[2_1|2]), (502,71,[2_1|2]), (502,103,[2_1|2]), (502,151,[2_1|2]), (502,167,[2_1|2]), (502,183,[2_1|2]), (502,199,[2_1|2]), (502,215,[2_1|2]), (502,231,[2_1|2]), (502,247,[2_1|2]), (502,263,[2_1|2]), (502,279,[2_1|2]), (502,311,[2_1|2]), (502,407,[2_1|2]), (502,439,[2_1|2]), (502,471,[2_1|2]), (502,487,[2_1|2]), (502,503,[2_1|2]), (502,519,[2_1|2]), (502,72,[2_1|2]), (502,104,[2_1|2]), (502,168,[2_1|2]), (502,184,[2_1|2]), (502,200,[2_1|2]), (502,312,[2_1|2]), (502,408,[2_1|2]), (502,440,[2_1|2]), (502,472,[2_1|2]), (502,488,[2_1|2]), (502,504,[2_1|2]), (502,520,[2_1|2]), (502,455,[0_1|2]), (503,504,[2_1|2]), (504,505,[1_1|2]), (505,506,[3_1|2]), (506,507,[3_1|2]), (507,508,[2_1|2]), (508,509,[2_1|2]), (509,510,[2_1|2]), (510,511,[3_1|2]), (511,512,[3_1|2]), (512,513,[0_1|2]), (513,514,[2_1|2]), (514,515,[2_1|2]), (515,516,[2_1|2]), (516,517,[3_1|2]), (517,518,[3_1|2]), (517,503,[2_1|2]), (518,54,[0_1|2]), (518,87,[0_1|2, 3_1|2]), (518,135,[0_1|2, 3_1|2]), (518,391,[0_1|2]), (518,55,[1_1|2]), (518,71,[2_1|2]), (518,103,[2_1|2]), (518,119,[1_1|2]), (518,151,[2_1|2]), (518,167,[2_1|2]), (518,183,[2_1|2]), (518,199,[2_1|2]), (519,520,[2_1|2]), (520,521,[2_1|2]), (521,522,[0_1|2]), (522,523,[2_1|2]), (523,524,[3_1|2]), (524,525,[1_1|2]), (525,526,[2_1|2]), (526,527,[1_1|2]), (527,528,[2_1|2]), (528,529,[2_1|2]), (529,530,[3_1|2]), (530,531,[2_1|2]), (531,532,[2_1|2]), (532,533,[3_1|2]), (533,534,[3_1|2]), (534,54,[1_1|2]), (534,71,[1_1|2]), (534,103,[1_1|2]), (534,151,[1_1|2]), (534,167,[1_1|2]), (534,183,[1_1|2]), (534,199,[1_1|2]), (534,215,[1_1|2, 2_1|2]), (534,231,[1_1|2, 2_1|2]), (534,247,[1_1|2, 2_1|2]), (534,263,[1_1|2, 2_1|2]), (534,279,[1_1|2, 2_1|2]), (534,311,[1_1|2, 2_1|2]), (534,407,[1_1|2, 2_1|2]), (534,439,[1_1|2]), (534,471,[1_1|2]), (534,487,[1_1|2]), (534,503,[1_1|2]), (534,519,[1_1|2]), (534,120,[1_1|2]), (534,344,[1_1|2]), (534,295,[1_1|2]), (534,327,[1_1|2]), (534,343,[1_1|2]), (534,359,[0_1|2]), (534,375,[1_1|2]), (534,391,[3_1|2]), (534,423,[1_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)