/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 38 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 122 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(1(1(2(0(3(0(1(2(0(1(1(x1))))))))))))) -> 0(0(3(0(0(2(0(2(2(0(0(1(0(0(0(1(0(x1))))))))))))))))) 0(1(0(3(1(0(2(2(1(1(0(2(1(x1))))))))))))) -> 0(0(2(2(3(0(0(0(0(1(0(1(0(3(0(1(2(x1))))))))))))))))) 0(1(1(0(0(1(3(1(2(0(3(1(2(x1))))))))))))) -> 0(2(0(2(0(1(3(0(2(0(0(0(0(1(2(2(0(x1))))))))))))))))) 0(1(3(2(1(0(3(0(0(1(1(1(1(x1))))))))))))) -> 0(3(1(3(1(0(0(3(2(0(3(0(3(0(0(1(0(x1))))))))))))))))) 0(2(0(2(0(2(3(2(3(1(1(3(1(x1))))))))))))) -> 0(0(1(3(0(0(3(0(3(2(3(0(0(2(2(1(0(x1))))))))))))))))) 0(2(2(3(2(2(1(2(0(3(2(0(3(x1))))))))))))) -> 0(3(2(1(0(2(3(0(0(1(0(2(1(0(0(3(0(x1))))))))))))))))) 0(2(3(0(2(2(3(2(2(1(1(2(3(x1))))))))))))) -> 1(0(0(2(3(2(0(2(0(1(3(0(2(0(1(1(2(x1))))))))))))))))) 0(2(3(1(1(0(2(0(0(2(1(3(2(x1))))))))))))) -> 0(2(2(0(0(3(2(2(0(1(2(2(0(0(2(2(0(x1))))))))))))))))) 0(2(3(2(2(3(1(0(2(0(3(1(3(x1))))))))))))) -> 0(0(3(0(2(1(1(0(0(2(2(0(2(0(2(2(3(x1))))))))))))))))) 1(0(0(3(2(0(1(0(1(2(2(1(1(x1))))))))))))) -> 0(0(3(3(1(0(0(0(2(0(2(0(1(0(0(1(2(x1))))))))))))))))) 1(0(3(0(2(1(1(0(1(1(1(2(2(x1))))))))))))) -> 0(3(2(0(0(2(0(0(3(0(0(0(3(3(3(3(3(x1))))))))))))))))) 1(1(2(0(2(2(0(0(1(3(2(3(2(x1))))))))))))) -> 2(0(0(0(0(1(2(3(0(1(0(0(3(2(0(0(1(x1))))))))))))))))) 1(2(2(1(2(2(0(0(1(2(2(0(1(x1))))))))))))) -> 0(0(3(0(0(1(2(2(0(3(2(0(2(0(1(0(3(x1))))))))))))))))) 1(2(3(1(0(2(1(0(0(1(1(1(0(x1))))))))))))) -> 0(3(0(1(0(1(2(0(3(0(0(0(1(0(1(3(0(x1))))))))))))))))) 1(3(0(0(3(2(2(2(2(1(0(2(3(x1))))))))))))) -> 3(0(0(2(2(0(3(2(0(3(0(2(3(1(2(0(0(x1))))))))))))))))) 1(3(1(0(1(3(1(2(0(1(3(1(0(x1))))))))))))) -> 1(2(0(3(1(3(0(0(3(3(1(0(3(0(0(0(0(x1))))))))))))))))) 1(3(1(1(3(0(0(1(0(0(2(3(0(x1))))))))))))) -> 2(1(0(2(0(3(2(0(0(0(0(2(0(1(1(3(0(x1))))))))))))))))) 1(3(1(3(1(0(2(0(1(3(0(0(1(x1))))))))))))) -> 2(2(0(0(0(1(0(0(2(0(0(1(3(3(3(0(1(x1))))))))))))))))) 1(3(2(1(0(1(0(3(0(1(3(0(0(x1))))))))))))) -> 0(3(1(0(0(0(3(0(0(2(3(2(1(0(1(0(0(x1))))))))))))))))) 1(3(3(0(2(3(0(3(2(0(0(1(1(x1))))))))))))) -> 3(2(0(3(0(3(0(0(2(0(0(0(1(0(2(3(1(x1))))))))))))))))) 1(3(3(2(2(2(3(2(2(0(2(3(0(x1))))))))))))) -> 3(0(3(2(2(0(2(2(1(0(2(2(3(1(2(0(0(x1))))))))))))))))) 2(0(2(1(2(2(3(2(2(2(2(1(0(x1))))))))))))) -> 1(0(0(0(0(1(0(0(2(0(3(1(0(0(2(3(0(x1))))))))))))))))) 2(0(2(2(1(2(2(3(2(0(1(1(2(x1))))))))))))) -> 0(2(3(1(3(1(0(0(0(0(0(0(1(2(2(1(0(x1))))))))))))))))) 2(0(3(3(1(2(2(0(0(2(1(0(1(x1))))))))))))) -> 3(2(0(1(0(0(2(0(3(1(0(0(0(2(1(0(2(x1))))))))))))))))) 2(1(1(0(3(2(1(2(0(0(3(1(3(x1))))))))))))) -> 2(2(0(1(0(0(0(0(2(2(0(0(2(2(1(3(3(x1))))))))))))))))) 2(2(0(1(0(1(0(3(3(2(1(2(3(x1))))))))))))) -> 0(3(0(1(2(0(1(2(0(2(2(1(2(1(0(0(0(x1))))))))))))))))) 2(3(0(0(0(2(3(3(2(0(3(0(3(x1))))))))))))) -> 2(2(0(0(0(1(2(0(0(0(3(0(2(0(3(2(0(x1))))))))))))))))) 2(3(0(2(2(0(2(0(3(2(3(2(3(x1))))))))))))) -> 1(0(0(3(2(0(3(3(0(0(3(0(0(2(0(0(2(x1))))))))))))))))) 3(0(0(1(3(1(2(0(2(0(3(3(3(x1))))))))))))) -> 0(0(1(0(1(2(0(0(3(0(2(2(2(0(0(1(3(x1))))))))))))))))) 3(2(2(2(0(1(3(0(2(2(3(3(0(x1))))))))))))) -> 1(1(0(1(0(0(3(0(1(2(1(1(0(0(1(0(0(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(1(1(2(0(3(0(1(2(0(1(1(x1))))))))))))) -> 0(0(3(0(0(2(0(2(2(0(0(1(0(0(0(1(0(x1))))))))))))))))) 0(1(0(3(1(0(2(2(1(1(0(2(1(x1))))))))))))) -> 0(0(2(2(3(0(0(0(0(1(0(1(0(3(0(1(2(x1))))))))))))))))) 0(1(1(0(0(1(3(1(2(0(3(1(2(x1))))))))))))) -> 0(2(0(2(0(1(3(0(2(0(0(0(0(1(2(2(0(x1))))))))))))))))) 0(1(3(2(1(0(3(0(0(1(1(1(1(x1))))))))))))) -> 0(3(1(3(1(0(0(3(2(0(3(0(3(0(0(1(0(x1))))))))))))))))) 0(2(0(2(0(2(3(2(3(1(1(3(1(x1))))))))))))) -> 0(0(1(3(0(0(3(0(3(2(3(0(0(2(2(1(0(x1))))))))))))))))) 0(2(2(3(2(2(1(2(0(3(2(0(3(x1))))))))))))) -> 0(3(2(1(0(2(3(0(0(1(0(2(1(0(0(3(0(x1))))))))))))))))) 0(2(3(0(2(2(3(2(2(1(1(2(3(x1))))))))))))) -> 1(0(0(2(3(2(0(2(0(1(3(0(2(0(1(1(2(x1))))))))))))))))) 0(2(3(1(1(0(2(0(0(2(1(3(2(x1))))))))))))) -> 0(2(2(0(0(3(2(2(0(1(2(2(0(0(2(2(0(x1))))))))))))))))) 0(2(3(2(2(3(1(0(2(0(3(1(3(x1))))))))))))) -> 0(0(3(0(2(1(1(0(0(2(2(0(2(0(2(2(3(x1))))))))))))))))) 1(0(0(3(2(0(1(0(1(2(2(1(1(x1))))))))))))) -> 0(0(3(3(1(0(0(0(2(0(2(0(1(0(0(1(2(x1))))))))))))))))) 1(0(3(0(2(1(1(0(1(1(1(2(2(x1))))))))))))) -> 0(3(2(0(0(2(0(0(3(0(0(0(3(3(3(3(3(x1))))))))))))))))) 1(1(2(0(2(2(0(0(1(3(2(3(2(x1))))))))))))) -> 2(0(0(0(0(1(2(3(0(1(0(0(3(2(0(0(1(x1))))))))))))))))) 1(2(2(1(2(2(0(0(1(2(2(0(1(x1))))))))))))) -> 0(0(3(0(0(1(2(2(0(3(2(0(2(0(1(0(3(x1))))))))))))))))) 1(2(3(1(0(2(1(0(0(1(1(1(0(x1))))))))))))) -> 0(3(0(1(0(1(2(0(3(0(0(0(1(0(1(3(0(x1))))))))))))))))) 1(3(0(0(3(2(2(2(2(1(0(2(3(x1))))))))))))) -> 3(0(0(2(2(0(3(2(0(3(0(2(3(1(2(0(0(x1))))))))))))))))) 1(3(1(0(1(3(1(2(0(1(3(1(0(x1))))))))))))) -> 1(2(0(3(1(3(0(0(3(3(1(0(3(0(0(0(0(x1))))))))))))))))) 1(3(1(1(3(0(0(1(0(0(2(3(0(x1))))))))))))) -> 2(1(0(2(0(3(2(0(0(0(0(2(0(1(1(3(0(x1))))))))))))))))) 1(3(1(3(1(0(2(0(1(3(0(0(1(x1))))))))))))) -> 2(2(0(0(0(1(0(0(2(0(0(1(3(3(3(0(1(x1))))))))))))))))) 1(3(2(1(0(1(0(3(0(1(3(0(0(x1))))))))))))) -> 0(3(1(0(0(0(3(0(0(2(3(2(1(0(1(0(0(x1))))))))))))))))) 1(3(3(0(2(3(0(3(2(0(0(1(1(x1))))))))))))) -> 3(2(0(3(0(3(0(0(2(0(0(0(1(0(2(3(1(x1))))))))))))))))) 1(3(3(2(2(2(3(2(2(0(2(3(0(x1))))))))))))) -> 3(0(3(2(2(0(2(2(1(0(2(2(3(1(2(0(0(x1))))))))))))))))) 2(0(2(1(2(2(3(2(2(2(2(1(0(x1))))))))))))) -> 1(0(0(0(0(1(0(0(2(0(3(1(0(0(2(3(0(x1))))))))))))))))) 2(0(2(2(1(2(2(3(2(0(1(1(2(x1))))))))))))) -> 0(2(3(1(3(1(0(0(0(0(0(0(1(2(2(1(0(x1))))))))))))))))) 2(0(3(3(1(2(2(0(0(2(1(0(1(x1))))))))))))) -> 3(2(0(1(0(0(2(0(3(1(0(0(0(2(1(0(2(x1))))))))))))))))) 2(1(1(0(3(2(1(2(0(0(3(1(3(x1))))))))))))) -> 2(2(0(1(0(0(0(0(2(2(0(0(2(2(1(3(3(x1))))))))))))))))) 2(2(0(1(0(1(0(3(3(2(1(2(3(x1))))))))))))) -> 0(3(0(1(2(0(1(2(0(2(2(1(2(1(0(0(0(x1))))))))))))))))) 2(3(0(0(0(2(3(3(2(0(3(0(3(x1))))))))))))) -> 2(2(0(0(0(1(2(0(0(0(3(0(2(0(3(2(0(x1))))))))))))))))) 2(3(0(2(2(0(2(0(3(2(3(2(3(x1))))))))))))) -> 1(0(0(3(2(0(3(3(0(0(3(0(0(2(0(0(2(x1))))))))))))))))) 3(0(0(1(3(1(2(0(2(0(3(3(3(x1))))))))))))) -> 0(0(1(0(1(2(0(0(3(0(2(2(2(0(0(1(3(x1))))))))))))))))) 3(2(2(2(0(1(3(0(2(2(3(3(0(x1))))))))))))) -> 1(1(0(1(0(0(3(0(1(2(1(1(0(0(1(0(0(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(1(1(2(0(3(0(1(2(0(1(1(x1))))))))))))) -> 0(0(3(0(0(2(0(2(2(0(0(1(0(0(0(1(0(x1))))))))))))))))) 0(1(0(3(1(0(2(2(1(1(0(2(1(x1))))))))))))) -> 0(0(2(2(3(0(0(0(0(1(0(1(0(3(0(1(2(x1))))))))))))))))) 0(1(1(0(0(1(3(1(2(0(3(1(2(x1))))))))))))) -> 0(2(0(2(0(1(3(0(2(0(0(0(0(1(2(2(0(x1))))))))))))))))) 0(1(3(2(1(0(3(0(0(1(1(1(1(x1))))))))))))) -> 0(3(1(3(1(0(0(3(2(0(3(0(3(0(0(1(0(x1))))))))))))))))) 0(2(0(2(0(2(3(2(3(1(1(3(1(x1))))))))))))) -> 0(0(1(3(0(0(3(0(3(2(3(0(0(2(2(1(0(x1))))))))))))))))) 0(2(2(3(2(2(1(2(0(3(2(0(3(x1))))))))))))) -> 0(3(2(1(0(2(3(0(0(1(0(2(1(0(0(3(0(x1))))))))))))))))) 0(2(3(0(2(2(3(2(2(1(1(2(3(x1))))))))))))) -> 1(0(0(2(3(2(0(2(0(1(3(0(2(0(1(1(2(x1))))))))))))))))) 0(2(3(1(1(0(2(0(0(2(1(3(2(x1))))))))))))) -> 0(2(2(0(0(3(2(2(0(1(2(2(0(0(2(2(0(x1))))))))))))))))) 0(2(3(2(2(3(1(0(2(0(3(1(3(x1))))))))))))) -> 0(0(3(0(2(1(1(0(0(2(2(0(2(0(2(2(3(x1))))))))))))))))) 1(0(0(3(2(0(1(0(1(2(2(1(1(x1))))))))))))) -> 0(0(3(3(1(0(0(0(2(0(2(0(1(0(0(1(2(x1))))))))))))))))) 1(0(3(0(2(1(1(0(1(1(1(2(2(x1))))))))))))) -> 0(3(2(0(0(2(0(0(3(0(0(0(3(3(3(3(3(x1))))))))))))))))) 1(1(2(0(2(2(0(0(1(3(2(3(2(x1))))))))))))) -> 2(0(0(0(0(1(2(3(0(1(0(0(3(2(0(0(1(x1))))))))))))))))) 1(2(2(1(2(2(0(0(1(2(2(0(1(x1))))))))))))) -> 0(0(3(0(0(1(2(2(0(3(2(0(2(0(1(0(3(x1))))))))))))))))) 1(2(3(1(0(2(1(0(0(1(1(1(0(x1))))))))))))) -> 0(3(0(1(0(1(2(0(3(0(0(0(1(0(1(3(0(x1))))))))))))))))) 1(3(0(0(3(2(2(2(2(1(0(2(3(x1))))))))))))) -> 3(0(0(2(2(0(3(2(0(3(0(2(3(1(2(0(0(x1))))))))))))))))) 1(3(1(0(1(3(1(2(0(1(3(1(0(x1))))))))))))) -> 1(2(0(3(1(3(0(0(3(3(1(0(3(0(0(0(0(x1))))))))))))))))) 1(3(1(1(3(0(0(1(0(0(2(3(0(x1))))))))))))) -> 2(1(0(2(0(3(2(0(0(0(0(2(0(1(1(3(0(x1))))))))))))))))) 1(3(1(3(1(0(2(0(1(3(0(0(1(x1))))))))))))) -> 2(2(0(0(0(1(0(0(2(0(0(1(3(3(3(0(1(x1))))))))))))))))) 1(3(2(1(0(1(0(3(0(1(3(0(0(x1))))))))))))) -> 0(3(1(0(0(0(3(0(0(2(3(2(1(0(1(0(0(x1))))))))))))))))) 1(3(3(0(2(3(0(3(2(0(0(1(1(x1))))))))))))) -> 3(2(0(3(0(3(0(0(2(0(0(0(1(0(2(3(1(x1))))))))))))))))) 1(3(3(2(2(2(3(2(2(0(2(3(0(x1))))))))))))) -> 3(0(3(2(2(0(2(2(1(0(2(2(3(1(2(0(0(x1))))))))))))))))) 2(0(2(1(2(2(3(2(2(2(2(1(0(x1))))))))))))) -> 1(0(0(0(0(1(0(0(2(0(3(1(0(0(2(3(0(x1))))))))))))))))) 2(0(2(2(1(2(2(3(2(0(1(1(2(x1))))))))))))) -> 0(2(3(1(3(1(0(0(0(0(0(0(1(2(2(1(0(x1))))))))))))))))) 2(0(3(3(1(2(2(0(0(2(1(0(1(x1))))))))))))) -> 3(2(0(1(0(0(2(0(3(1(0(0(0(2(1(0(2(x1))))))))))))))))) 2(1(1(0(3(2(1(2(0(0(3(1(3(x1))))))))))))) -> 2(2(0(1(0(0(0(0(2(2(0(0(2(2(1(3(3(x1))))))))))))))))) 2(2(0(1(0(1(0(3(3(2(1(2(3(x1))))))))))))) -> 0(3(0(1(2(0(1(2(0(2(2(1(2(1(0(0(0(x1))))))))))))))))) 2(3(0(0(0(2(3(3(2(0(3(0(3(x1))))))))))))) -> 2(2(0(0(0(1(2(0(0(0(3(0(2(0(3(2(0(x1))))))))))))))))) 2(3(0(2(2(0(2(0(3(2(3(2(3(x1))))))))))))) -> 1(0(0(3(2(0(3(3(0(0(3(0(0(2(0(0(2(x1))))))))))))))))) 3(0(0(1(3(1(2(0(2(0(3(3(3(x1))))))))))))) -> 0(0(1(0(1(2(0(0(3(0(2(2(2(0(0(1(3(x1))))))))))))))))) 3(2(2(2(0(1(3(0(2(2(3(3(0(x1))))))))))))) -> 1(1(0(1(0(0(3(0(1(2(1(1(0(0(1(0(0(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(1(1(2(0(3(0(1(2(0(1(1(x1))))))))))))) -> 0(0(3(0(0(2(0(2(2(0(0(1(0(0(0(1(0(x1))))))))))))))))) 0(1(0(3(1(0(2(2(1(1(0(2(1(x1))))))))))))) -> 0(0(2(2(3(0(0(0(0(1(0(1(0(3(0(1(2(x1))))))))))))))))) 0(1(1(0(0(1(3(1(2(0(3(1(2(x1))))))))))))) -> 0(2(0(2(0(1(3(0(2(0(0(0(0(1(2(2(0(x1))))))))))))))))) 0(1(3(2(1(0(3(0(0(1(1(1(1(x1))))))))))))) -> 0(3(1(3(1(0(0(3(2(0(3(0(3(0(0(1(0(x1))))))))))))))))) 0(2(0(2(0(2(3(2(3(1(1(3(1(x1))))))))))))) -> 0(0(1(3(0(0(3(0(3(2(3(0(0(2(2(1(0(x1))))))))))))))))) 0(2(2(3(2(2(1(2(0(3(2(0(3(x1))))))))))))) -> 0(3(2(1(0(2(3(0(0(1(0(2(1(0(0(3(0(x1))))))))))))))))) 0(2(3(0(2(2(3(2(2(1(1(2(3(x1))))))))))))) -> 1(0(0(2(3(2(0(2(0(1(3(0(2(0(1(1(2(x1))))))))))))))))) 0(2(3(1(1(0(2(0(0(2(1(3(2(x1))))))))))))) -> 0(2(2(0(0(3(2(2(0(1(2(2(0(0(2(2(0(x1))))))))))))))))) 0(2(3(2(2(3(1(0(2(0(3(1(3(x1))))))))))))) -> 0(0(3(0(2(1(1(0(0(2(2(0(2(0(2(2(3(x1))))))))))))))))) 1(0(0(3(2(0(1(0(1(2(2(1(1(x1))))))))))))) -> 0(0(3(3(1(0(0(0(2(0(2(0(1(0(0(1(2(x1))))))))))))))))) 1(0(3(0(2(1(1(0(1(1(1(2(2(x1))))))))))))) -> 0(3(2(0(0(2(0(0(3(0(0(0(3(3(3(3(3(x1))))))))))))))))) 1(1(2(0(2(2(0(0(1(3(2(3(2(x1))))))))))))) -> 2(0(0(0(0(1(2(3(0(1(0(0(3(2(0(0(1(x1))))))))))))))))) 1(2(2(1(2(2(0(0(1(2(2(0(1(x1))))))))))))) -> 0(0(3(0(0(1(2(2(0(3(2(0(2(0(1(0(3(x1))))))))))))))))) 1(2(3(1(0(2(1(0(0(1(1(1(0(x1))))))))))))) -> 0(3(0(1(0(1(2(0(3(0(0(0(1(0(1(3(0(x1))))))))))))))))) 1(3(0(0(3(2(2(2(2(1(0(2(3(x1))))))))))))) -> 3(0(0(2(2(0(3(2(0(3(0(2(3(1(2(0(0(x1))))))))))))))))) 1(3(1(0(1(3(1(2(0(1(3(1(0(x1))))))))))))) -> 1(2(0(3(1(3(0(0(3(3(1(0(3(0(0(0(0(x1))))))))))))))))) 1(3(1(1(3(0(0(1(0(0(2(3(0(x1))))))))))))) -> 2(1(0(2(0(3(2(0(0(0(0(2(0(1(1(3(0(x1))))))))))))))))) 1(3(1(3(1(0(2(0(1(3(0(0(1(x1))))))))))))) -> 2(2(0(0(0(1(0(0(2(0(0(1(3(3(3(0(1(x1))))))))))))))))) 1(3(2(1(0(1(0(3(0(1(3(0(0(x1))))))))))))) -> 0(3(1(0(0(0(3(0(0(2(3(2(1(0(1(0(0(x1))))))))))))))))) 1(3(3(0(2(3(0(3(2(0(0(1(1(x1))))))))))))) -> 3(2(0(3(0(3(0(0(2(0(0(0(1(0(2(3(1(x1))))))))))))))))) 1(3(3(2(2(2(3(2(2(0(2(3(0(x1))))))))))))) -> 3(0(3(2(2(0(2(2(1(0(2(2(3(1(2(0(0(x1))))))))))))))))) 2(0(2(1(2(2(3(2(2(2(2(1(0(x1))))))))))))) -> 1(0(0(0(0(1(0(0(2(0(3(1(0(0(2(3(0(x1))))))))))))))))) 2(0(2(2(1(2(2(3(2(0(1(1(2(x1))))))))))))) -> 0(2(3(1(3(1(0(0(0(0(0(0(1(2(2(1(0(x1))))))))))))))))) 2(0(3(3(1(2(2(0(0(2(1(0(1(x1))))))))))))) -> 3(2(0(1(0(0(2(0(3(1(0(0(0(2(1(0(2(x1))))))))))))))))) 2(1(1(0(3(2(1(2(0(0(3(1(3(x1))))))))))))) -> 2(2(0(1(0(0(0(0(2(2(0(0(2(2(1(3(3(x1))))))))))))))))) 2(2(0(1(0(1(0(3(3(2(1(2(3(x1))))))))))))) -> 0(3(0(1(2(0(1(2(0(2(2(1(2(1(0(0(0(x1))))))))))))))))) 2(3(0(0(0(2(3(3(2(0(3(0(3(x1))))))))))))) -> 2(2(0(0(0(1(2(0(0(0(3(0(2(0(3(2(0(x1))))))))))))))))) 2(3(0(2(2(0(2(0(3(2(3(2(3(x1))))))))))))) -> 1(0(0(3(2(0(3(3(0(0(3(0(0(2(0(0(2(x1))))))))))))))))) 3(0(0(1(3(1(2(0(2(0(3(3(3(x1))))))))))))) -> 0(0(1(0(1(2(0(0(3(0(2(2(2(0(0(1(3(x1))))))))))))))))) 3(2(2(2(0(1(3(0(2(2(3(3(0(x1))))))))))))) -> 1(1(0(1(0(0(3(0(1(2(1(1(0(0(1(0(0(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. "[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, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561] {(79,80,[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]), (79,81,[0_1|1, 1_1|1, 2_1|1, 3_1|1]), (79,82,[0_1|2]), (79,98,[0_1|2]), (79,114,[0_1|2]), (79,130,[0_1|2]), (79,146,[0_1|2]), (79,162,[0_1|2]), (79,178,[1_1|2]), (79,194,[0_1|2]), (79,210,[0_1|2]), (79,226,[0_1|2]), (79,242,[0_1|2]), (79,258,[2_1|2]), (79,274,[0_1|2]), (79,290,[0_1|2]), (79,306,[3_1|2]), (79,322,[1_1|2]), (79,338,[2_1|2]), (79,354,[2_1|2]), (79,370,[0_1|2]), (79,386,[3_1|2]), (79,402,[3_1|2]), (79,418,[1_1|2]), (79,434,[0_1|2]), (79,450,[3_1|2]), (79,466,[2_1|2]), (79,482,[0_1|2]), (79,498,[2_1|2]), (79,514,[1_1|2]), (79,530,[0_1|2]), (79,546,[1_1|2]), (80,80,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0]), (81,80,[encArg_1|1]), (81,81,[0_1|1, 1_1|1, 2_1|1, 3_1|1]), (81,82,[0_1|2]), (81,98,[0_1|2]), (81,114,[0_1|2]), (81,130,[0_1|2]), (81,146,[0_1|2]), (81,162,[0_1|2]), (81,178,[1_1|2]), (81,194,[0_1|2]), (81,210,[0_1|2]), (81,226,[0_1|2]), (81,242,[0_1|2]), (81,258,[2_1|2]), (81,274,[0_1|2]), (81,290,[0_1|2]), (81,306,[3_1|2]), (81,322,[1_1|2]), (81,338,[2_1|2]), (81,354,[2_1|2]), (81,370,[0_1|2]), (81,386,[3_1|2]), (81,402,[3_1|2]), (81,418,[1_1|2]), (81,434,[0_1|2]), (81,450,[3_1|2]), (81,466,[2_1|2]), (81,482,[0_1|2]), (81,498,[2_1|2]), (81,514,[1_1|2]), (81,530,[0_1|2]), (81,546,[1_1|2]), (82,83,[0_1|2]), (83,84,[3_1|2]), (84,85,[0_1|2]), (85,86,[0_1|2]), (86,87,[2_1|2]), (87,88,[0_1|2]), (88,89,[2_1|2]), (89,90,[2_1|2]), (90,91,[0_1|2]), (91,92,[0_1|2]), (92,93,[1_1|2]), (93,94,[0_1|2]), (94,95,[0_1|2]), (95,96,[0_1|2]), (95,98,[0_1|2]), (96,97,[1_1|2]), (96,226,[0_1|2]), (96,242,[0_1|2]), (97,81,[0_1|2]), (97,178,[0_1|2, 1_1|2]), (97,322,[0_1|2]), (97,418,[0_1|2]), (97,514,[0_1|2]), (97,546,[0_1|2]), (97,547,[0_1|2]), (97,82,[0_1|2]), (97,98,[0_1|2]), (97,114,[0_1|2]), (97,130,[0_1|2]), (97,146,[0_1|2]), (97,162,[0_1|2]), (97,194,[0_1|2]), (97,210,[0_1|2]), (98,99,[0_1|2]), (99,100,[2_1|2]), (100,101,[2_1|2]), (101,102,[3_1|2]), (102,103,[0_1|2]), (103,104,[0_1|2]), (104,105,[0_1|2]), (105,106,[0_1|2]), (106,107,[1_1|2]), (107,108,[0_1|2]), (108,109,[1_1|2]), (109,110,[0_1|2]), (110,111,[3_1|2]), (111,112,[0_1|2]), (112,113,[1_1|2]), (112,274,[0_1|2]), (112,290,[0_1|2]), (113,81,[2_1|2]), (113,178,[2_1|2]), (113,322,[2_1|2]), (113,418,[2_1|2, 1_1|2]), (113,514,[2_1|2, 1_1|2]), (113,546,[2_1|2]), (113,339,[2_1|2]), (113,434,[0_1|2]), (113,450,[3_1|2]), (113,466,[2_1|2]), (113,482,[0_1|2]), (113,498,[2_1|2]), (114,115,[2_1|2]), (115,116,[0_1|2]), (116,117,[2_1|2]), (117,118,[0_1|2]), (118,119,[1_1|2]), (119,120,[3_1|2]), (120,121,[0_1|2]), (121,122,[2_1|2]), (122,123,[0_1|2]), (123,124,[0_1|2]), (124,125,[0_1|2]), (125,126,[0_1|2]), (126,127,[1_1|2]), (127,128,[2_1|2]), (127,482,[0_1|2]), (128,129,[2_1|2]), (128,418,[1_1|2]), (128,434,[0_1|2]), (128,450,[3_1|2]), (129,81,[0_1|2]), (129,258,[0_1|2]), (129,338,[0_1|2]), (129,354,[0_1|2]), (129,466,[0_1|2]), (129,498,[0_1|2]), (129,323,[0_1|2]), (129,82,[0_1|2]), (129,98,[0_1|2]), (129,114,[0_1|2]), (129,130,[0_1|2]), (129,146,[0_1|2]), (129,162,[0_1|2]), (129,178,[1_1|2]), (129,194,[0_1|2]), (129,210,[0_1|2]), (130,131,[3_1|2]), (131,132,[1_1|2]), (132,133,[3_1|2]), (133,134,[1_1|2]), (134,135,[0_1|2]), (135,136,[0_1|2]), (136,137,[3_1|2]), (137,138,[2_1|2]), (138,139,[0_1|2]), (139,140,[3_1|2]), (140,141,[0_1|2]), (141,142,[3_1|2]), (142,143,[0_1|2]), (143,144,[0_1|2]), (143,98,[0_1|2]), (144,145,[1_1|2]), (144,226,[0_1|2]), (144,242,[0_1|2]), (145,81,[0_1|2]), (145,178,[0_1|2, 1_1|2]), (145,322,[0_1|2]), (145,418,[0_1|2]), 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(193,466,[2_1|2]), (193,482,[0_1|2]), (193,498,[2_1|2]), (193,514,[1_1|2]), (194,195,[2_1|2]), (195,196,[2_1|2]), (196,197,[0_1|2]), (197,198,[0_1|2]), (198,199,[3_1|2]), (199,200,[2_1|2]), (200,201,[2_1|2]), (201,202,[0_1|2]), (202,203,[1_1|2]), (203,204,[2_1|2]), (204,205,[2_1|2]), (205,206,[0_1|2]), (206,207,[0_1|2]), (207,208,[2_1|2]), (207,482,[0_1|2]), (208,209,[2_1|2]), (208,418,[1_1|2]), (208,434,[0_1|2]), (208,450,[3_1|2]), (209,81,[0_1|2]), (209,258,[0_1|2]), (209,338,[0_1|2]), (209,354,[0_1|2]), (209,466,[0_1|2]), (209,498,[0_1|2]), (209,387,[0_1|2]), (209,451,[0_1|2]), (209,82,[0_1|2]), (209,98,[0_1|2]), (209,114,[0_1|2]), (209,130,[0_1|2]), (209,146,[0_1|2]), (209,162,[0_1|2]), (209,178,[1_1|2]), (209,194,[0_1|2]), (209,210,[0_1|2]), (210,211,[0_1|2]), (211,212,[3_1|2]), (212,213,[0_1|2]), (213,214,[2_1|2]), (214,215,[1_1|2]), (215,216,[1_1|2]), (216,217,[0_1|2]), (217,218,[0_1|2]), (218,219,[2_1|2]), (219,220,[2_1|2]), (220,221,[0_1|2]), (221,222,[2_1|2]), (222,223,[0_1|2]), (222,162,[0_1|2]), (223,224,[2_1|2]), (224,225,[2_1|2]), (224,498,[2_1|2]), (224,514,[1_1|2]), (225,81,[3_1|2]), (225,306,[3_1|2]), (225,386,[3_1|2]), (225,402,[3_1|2]), (225,450,[3_1|2]), (225,133,[3_1|2]), (225,530,[0_1|2]), (225,546,[1_1|2]), (226,227,[0_1|2]), (227,228,[3_1|2]), (228,229,[3_1|2]), (229,230,[1_1|2]), (230,231,[0_1|2]), (231,232,[0_1|2]), (232,233,[0_1|2]), (233,234,[2_1|2]), (234,235,[0_1|2]), (235,236,[2_1|2]), (236,237,[0_1|2]), (237,238,[1_1|2]), (238,239,[0_1|2]), (239,240,[0_1|2]), (240,241,[1_1|2]), (240,274,[0_1|2]), (240,290,[0_1|2]), (241,81,[2_1|2]), (241,178,[2_1|2]), (241,322,[2_1|2]), (241,418,[2_1|2, 1_1|2]), (241,514,[2_1|2, 1_1|2]), (241,546,[2_1|2]), (241,547,[2_1|2]), (241,434,[0_1|2]), (241,450,[3_1|2]), (241,466,[2_1|2]), (241,482,[0_1|2]), (241,498,[2_1|2]), (242,243,[3_1|2]), (243,244,[2_1|2]), (244,245,[0_1|2]), (245,246,[0_1|2]), (246,247,[2_1|2]), (247,248,[0_1|2]), (248,249,[0_1|2]), (249,250,[3_1|2]), (250,251,[0_1|2]), (251,252,[0_1|2]), (252,253,[0_1|2]), (253,254,[3_1|2]), (254,255,[3_1|2]), (255,256,[3_1|2]), (256,257,[3_1|2]), (257,81,[3_1|2]), (257,258,[3_1|2]), (257,338,[3_1|2]), (257,354,[3_1|2]), (257,466,[3_1|2]), (257,498,[3_1|2]), (257,355,[3_1|2]), (257,467,[3_1|2]), (257,499,[3_1|2]), (257,530,[0_1|2]), (257,546,[1_1|2]), (258,259,[0_1|2]), (259,260,[0_1|2]), (260,261,[0_1|2]), (261,262,[0_1|2]), (262,263,[1_1|2]), (263,264,[2_1|2]), (264,265,[3_1|2]), (265,266,[0_1|2]), (266,267,[1_1|2]), (267,268,[0_1|2]), (268,269,[0_1|2]), (269,270,[3_1|2]), (270,271,[2_1|2]), (271,272,[0_1|2]), (271,82,[0_1|2]), (272,273,[0_1|2]), (272,98,[0_1|2]), (272,114,[0_1|2]), (272,130,[0_1|2]), (273,81,[1_1|2]), (273,258,[1_1|2, 2_1|2]), (273,338,[1_1|2, 2_1|2]), (273,354,[1_1|2, 2_1|2]), (273,466,[1_1|2]), (273,498,[1_1|2]), (273,387,[1_1|2]), (273,451,[1_1|2]), (273,226,[0_1|2]), (273,242,[0_1|2]), (273,274,[0_1|2]), (273,290,[0_1|2]), (273,306,[3_1|2]), (273,322,[1_1|2]), (273,370,[0_1|2]), (273,386,[3_1|2]), (273,402,[3_1|2]), (274,275,[0_1|2]), (275,276,[3_1|2]), (276,277,[0_1|2]), (277,278,[0_1|2]), (278,279,[1_1|2]), (279,280,[2_1|2]), (280,281,[2_1|2]), (281,282,[0_1|2]), (282,283,[3_1|2]), (283,284,[2_1|2]), (284,285,[0_1|2]), (285,286,[2_1|2]), (286,287,[0_1|2]), (286,98,[0_1|2]), (287,288,[1_1|2]), (287,242,[0_1|2]), (288,289,[0_1|2]), (289,81,[3_1|2]), (289,178,[3_1|2]), (289,322,[3_1|2]), (289,418,[3_1|2]), (289,514,[3_1|2]), (289,546,[3_1|2, 1_1|2]), (289,469,[3_1|2]), (289,530,[0_1|2]), (290,291,[3_1|2]), (291,292,[0_1|2]), (292,293,[1_1|2]), (293,294,[0_1|2]), (294,295,[1_1|2]), (295,296,[2_1|2]), (296,297,[0_1|2]), (297,298,[3_1|2]), (298,299,[0_1|2]), (299,300,[0_1|2]), (300,301,[0_1|2]), (301,302,[1_1|2]), (302,303,[0_1|2]), (303,304,[1_1|2]), (303,306,[3_1|2]), (304,305,[3_1|2]), (304,530,[0_1|2]), (305,81,[0_1|2]), (305,82,[0_1|2]), (305,98,[0_1|2]), (305,114,[0_1|2]), (305,130,[0_1|2]), (305,146,[0_1|2]), (305,162,[0_1|2]), (305,194,[0_1|2]), 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(329,330,[3_1|2]), (330,331,[3_1|2]), (331,332,[1_1|2]), (332,333,[0_1|2]), (333,334,[3_1|2]), (334,335,[0_1|2]), (335,336,[0_1|2]), (336,337,[0_1|2]), (336,82,[0_1|2]), (337,81,[0_1|2]), (337,82,[0_1|2]), (337,98,[0_1|2]), (337,114,[0_1|2]), (337,130,[0_1|2]), (337,146,[0_1|2]), (337,162,[0_1|2]), (337,194,[0_1|2]), (337,210,[0_1|2]), (337,226,[0_1|2]), (337,242,[0_1|2]), (337,274,[0_1|2]), (337,290,[0_1|2]), (337,370,[0_1|2]), (337,434,[0_1|2]), (337,482,[0_1|2]), (337,530,[0_1|2]), (337,179,[0_1|2]), (337,419,[0_1|2]), (337,515,[0_1|2]), (337,178,[1_1|2]), (338,339,[1_1|2]), (339,340,[0_1|2]), (340,341,[2_1|2]), (341,342,[0_1|2]), (342,343,[3_1|2]), (343,344,[2_1|2]), (344,345,[0_1|2]), (345,346,[0_1|2]), (346,347,[0_1|2]), (347,348,[0_1|2]), (348,349,[2_1|2]), (349,350,[0_1|2]), (350,351,[1_1|2]), (351,352,[1_1|2]), (351,306,[3_1|2]), (352,353,[3_1|2]), (352,530,[0_1|2]), (353,81,[0_1|2]), (353,82,[0_1|2]), (353,98,[0_1|2]), (353,114,[0_1|2]), (353,130,[0_1|2]), (353,146,[0_1|2]), 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(371,372,[1_1|2]), (372,373,[0_1|2]), (373,374,[0_1|2]), (374,375,[0_1|2]), (375,376,[3_1|2]), (376,377,[0_1|2]), (377,378,[0_1|2]), (378,379,[2_1|2]), (379,380,[3_1|2]), (380,381,[2_1|2]), (381,382,[1_1|2]), (382,383,[0_1|2]), (383,384,[1_1|2]), (383,226,[0_1|2]), (384,385,[0_1|2]), (384,82,[0_1|2]), (385,81,[0_1|2]), (385,82,[0_1|2]), (385,98,[0_1|2]), (385,114,[0_1|2]), (385,130,[0_1|2]), (385,146,[0_1|2]), (385,162,[0_1|2]), (385,194,[0_1|2]), (385,210,[0_1|2]), (385,226,[0_1|2]), (385,242,[0_1|2]), (385,274,[0_1|2]), (385,290,[0_1|2]), (385,370,[0_1|2]), (385,434,[0_1|2]), (385,482,[0_1|2]), (385,530,[0_1|2]), (385,83,[0_1|2]), (385,99,[0_1|2]), (385,147,[0_1|2]), (385,211,[0_1|2]), (385,227,[0_1|2]), (385,275,[0_1|2]), (385,531,[0_1|2]), (385,308,[0_1|2]), (385,178,[1_1|2]), (386,387,[2_1|2]), (387,388,[0_1|2]), (388,389,[3_1|2]), (389,390,[0_1|2]), (390,391,[3_1|2]), (391,392,[0_1|2]), (392,393,[0_1|2]), (393,394,[2_1|2]), (394,395,[0_1|2]), (395,396,[0_1|2]), (396,397,[0_1|2]), (397,398,[1_1|2]), (398,399,[0_1|2]), (398,194,[0_1|2]), (399,400,[2_1|2]), (400,401,[3_1|2]), (401,81,[1_1|2]), (401,178,[1_1|2]), (401,322,[1_1|2]), (401,418,[1_1|2]), (401,514,[1_1|2]), (401,546,[1_1|2]), (401,547,[1_1|2]), (401,226,[0_1|2]), (401,242,[0_1|2]), (401,258,[2_1|2]), (401,274,[0_1|2]), (401,290,[0_1|2]), (401,306,[3_1|2]), (401,338,[2_1|2]), (401,354,[2_1|2]), (401,370,[0_1|2]), (401,386,[3_1|2]), (401,402,[3_1|2]), (402,403,[0_1|2]), (403,404,[3_1|2]), (404,405,[2_1|2]), (405,406,[2_1|2]), (406,407,[0_1|2]), (407,408,[2_1|2]), (408,409,[2_1|2]), (409,410,[1_1|2]), (410,411,[0_1|2]), (411,412,[2_1|2]), (412,413,[2_1|2]), (413,414,[3_1|2]), (414,415,[1_1|2]), (415,416,[2_1|2]), (416,417,[0_1|2]), (416,82,[0_1|2]), (417,81,[0_1|2]), (417,82,[0_1|2]), (417,98,[0_1|2]), (417,114,[0_1|2]), (417,130,[0_1|2]), (417,146,[0_1|2]), (417,162,[0_1|2]), (417,194,[0_1|2]), (417,210,[0_1|2]), (417,226,[0_1|2]), (417,242,[0_1|2]), (417,274,[0_1|2]), (417,290,[0_1|2]), (417,370,[0_1|2]), (417,434,[0_1|2]), (417,482,[0_1|2]), (417,530,[0_1|2]), (417,307,[0_1|2]), (417,403,[0_1|2]), (417,178,[1_1|2]), (418,419,[0_1|2]), (419,420,[0_1|2]), (420,421,[0_1|2]), (421,422,[0_1|2]), (422,423,[1_1|2]), (423,424,[0_1|2]), (424,425,[0_1|2]), (425,426,[2_1|2]), (426,427,[0_1|2]), (427,428,[3_1|2]), (428,429,[1_1|2]), (429,430,[0_1|2]), (430,431,[0_1|2]), (430,178,[1_1|2]), (431,432,[2_1|2]), (431,498,[2_1|2]), (431,514,[1_1|2]), (432,433,[3_1|2]), (432,530,[0_1|2]), (433,81,[0_1|2]), (433,82,[0_1|2]), (433,98,[0_1|2]), (433,114,[0_1|2]), (433,130,[0_1|2]), (433,146,[0_1|2]), (433,162,[0_1|2]), (433,194,[0_1|2]), (433,210,[0_1|2]), (433,226,[0_1|2]), (433,242,[0_1|2]), (433,274,[0_1|2]), (433,290,[0_1|2]), (433,370,[0_1|2]), (433,434,[0_1|2]), (433,482,[0_1|2]), (433,530,[0_1|2]), (433,179,[0_1|2]), (433,419,[0_1|2]), (433,515,[0_1|2]), (433,340,[0_1|2]), (433,178,[1_1|2]), (434,435,[2_1|2]), (435,436,[3_1|2]), (436,437,[1_1|2]), (437,438,[3_1|2]), (438,439,[1_1|2]), (439,440,[0_1|2]), (440,441,[0_1|2]), (441,442,[0_1|2]), (442,443,[0_1|2]), (443,444,[0_1|2]), (444,445,[0_1|2]), (445,446,[1_1|2]), (446,447,[2_1|2]), (447,448,[2_1|2]), (448,449,[1_1|2]), (448,226,[0_1|2]), (448,242,[0_1|2]), (449,81,[0_1|2]), (449,258,[0_1|2]), (449,338,[0_1|2]), (449,354,[0_1|2]), (449,466,[0_1|2]), (449,498,[0_1|2]), (449,323,[0_1|2]), (449,82,[0_1|2]), (449,98,[0_1|2]), (449,114,[0_1|2]), (449,130,[0_1|2]), (449,146,[0_1|2]), (449,162,[0_1|2]), (449,178,[1_1|2]), (449,194,[0_1|2]), (449,210,[0_1|2]), (450,451,[2_1|2]), (451,452,[0_1|2]), (452,453,[1_1|2]), (453,454,[0_1|2]), (454,455,[0_1|2]), (455,456,[2_1|2]), (456,457,[0_1|2]), (457,458,[3_1|2]), (458,459,[1_1|2]), (459,460,[0_1|2]), (460,461,[0_1|2]), (461,462,[0_1|2]), (462,463,[2_1|2]), (463,464,[1_1|2]), (464,465,[0_1|2]), (464,146,[0_1|2]), (464,162,[0_1|2]), (464,178,[1_1|2]), (464,194,[0_1|2]), (464,210,[0_1|2]), (465,81,[2_1|2]), (465,178,[2_1|2]), (465,322,[2_1|2]), (465,418,[2_1|2, 1_1|2]), (465,514,[2_1|2, 1_1|2]), (465,546,[2_1|2]), (465,434,[0_1|2]), (465,450,[3_1|2]), (465,466,[2_1|2]), (465,482,[0_1|2]), (465,498,[2_1|2]), (466,467,[2_1|2]), (467,468,[0_1|2]), (468,469,[1_1|2]), (469,470,[0_1|2]), (470,471,[0_1|2]), (471,472,[0_1|2]), (472,473,[0_1|2]), (473,474,[2_1|2]), (474,475,[2_1|2]), (475,476,[0_1|2]), (476,477,[0_1|2]), (477,478,[2_1|2]), (478,479,[2_1|2]), (479,480,[1_1|2]), (479,386,[3_1|2]), (479,402,[3_1|2]), (480,481,[3_1|2]), (481,81,[3_1|2]), (481,306,[3_1|2]), (481,386,[3_1|2]), (481,402,[3_1|2]), (481,450,[3_1|2]), (481,133,[3_1|2]), (481,530,[0_1|2]), (481,546,[1_1|2]), (482,483,[3_1|2]), (483,484,[0_1|2]), (484,485,[1_1|2]), (485,486,[2_1|2]), (486,487,[0_1|2]), (487,488,[1_1|2]), (488,489,[2_1|2]), (489,490,[0_1|2]), (490,491,[2_1|2]), (491,492,[2_1|2]), (492,493,[1_1|2]), (493,494,[2_1|2]), (494,495,[1_1|2]), (495,496,[0_1|2]), (496,497,[0_1|2]), (496,82,[0_1|2]), (497,81,[0_1|2]), (497,306,[0_1|2]), (497,386,[0_1|2]), (497,402,[0_1|2]), (497,450,[0_1|2]), (497,82,[0_1|2]), (497,98,[0_1|2]), (497,114,[0_1|2]), (497,130,[0_1|2]), (497,146,[0_1|2]), (497,162,[0_1|2]), (497,178,[1_1|2]), (497,194,[0_1|2]), (497,210,[0_1|2]), (498,499,[2_1|2]), (499,500,[0_1|2]), (500,501,[0_1|2]), (501,502,[0_1|2]), (502,503,[1_1|2]), (503,504,[2_1|2]), (504,505,[0_1|2]), (505,506,[0_1|2]), (506,507,[0_1|2]), (507,508,[3_1|2]), (508,509,[0_1|2]), (509,510,[2_1|2]), (510,511,[0_1|2]), (511,512,[3_1|2]), (512,513,[2_1|2]), (512,418,[1_1|2]), (512,434,[0_1|2]), (512,450,[3_1|2]), (513,81,[0_1|2]), (513,306,[0_1|2]), (513,386,[0_1|2]), (513,402,[0_1|2]), (513,450,[0_1|2]), (513,131,[0_1|2]), (513,163,[0_1|2]), (513,243,[0_1|2]), (513,291,[0_1|2]), (513,371,[0_1|2]), (513,483,[0_1|2]), (513,404,[0_1|2]), (513,391,[0_1|2]), (513,82,[0_1|2]), (513,98,[0_1|2]), (513,114,[0_1|2]), (513,130,[0_1|2]), (513,146,[0_1|2]), (513,162,[0_1|2]), (513,178,[1_1|2]), (513,194,[0_1|2]), (513,210,[0_1|2]), (514,515,[0_1|2]), (515,516,[0_1|2]), (516,517,[3_1|2]), (517,518,[2_1|2]), (518,519,[0_1|2]), (519,520,[3_1|2]), (520,521,[3_1|2]), (521,522,[0_1|2]), (522,523,[0_1|2]), (523,524,[3_1|2]), (524,525,[0_1|2]), (525,526,[0_1|2]), (526,527,[2_1|2]), (527,528,[0_1|2]), (528,529,[0_1|2]), (528,146,[0_1|2]), (528,162,[0_1|2]), (528,178,[1_1|2]), (528,194,[0_1|2]), (528,210,[0_1|2]), (529,81,[2_1|2]), (529,306,[2_1|2]), (529,386,[2_1|2]), (529,402,[2_1|2]), (529,450,[2_1|2, 3_1|2]), (529,418,[1_1|2]), (529,434,[0_1|2]), (529,466,[2_1|2]), (529,482,[0_1|2]), (529,498,[2_1|2]), (529,514,[1_1|2]), (530,531,[0_1|2]), (531,532,[1_1|2]), (532,533,[0_1|2]), (533,534,[1_1|2]), (534,535,[2_1|2]), (535,536,[0_1|2]), (536,537,[0_1|2]), (537,538,[3_1|2]), (538,539,[0_1|2]), (539,540,[2_1|2]), (540,541,[2_1|2]), (541,542,[2_1|2]), (542,543,[0_1|2]), (543,544,[0_1|2]), (543,130,[0_1|2]), (544,545,[1_1|2]), (544,306,[3_1|2]), (544,322,[1_1|2]), (544,338,[2_1|2]), (544,354,[2_1|2]), (544,370,[0_1|2]), (544,386,[3_1|2]), (544,402,[3_1|2]), (545,81,[3_1|2]), (545,306,[3_1|2]), (545,386,[3_1|2]), (545,402,[3_1|2]), (545,450,[3_1|2]), (545,530,[0_1|2]), (545,546,[1_1|2]), (546,547,[1_1|2]), (547,548,[0_1|2]), (548,549,[1_1|2]), (549,550,[0_1|2]), (550,551,[0_1|2]), (551,552,[3_1|2]), (552,553,[0_1|2]), (553,554,[1_1|2]), (554,555,[2_1|2]), (555,556,[1_1|2]), (556,557,[1_1|2]), (557,558,[0_1|2]), (558,559,[0_1|2]), (559,560,[1_1|2]), (559,226,[0_1|2]), (560,561,[0_1|2]), (560,82,[0_1|2]), (561,81,[0_1|2]), (561,82,[0_1|2]), (561,98,[0_1|2]), (561,114,[0_1|2]), (561,130,[0_1|2]), (561,146,[0_1|2]), (561,162,[0_1|2]), (561,194,[0_1|2]), (561,210,[0_1|2]), (561,226,[0_1|2]), (561,242,[0_1|2]), (561,274,[0_1|2]), (561,290,[0_1|2]), (561,370,[0_1|2]), (561,434,[0_1|2]), (561,482,[0_1|2]), (561,530,[0_1|2]), (561,307,[0_1|2]), (561,403,[0_1|2]), (561,178,[1_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)