/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 48 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 155 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(0(1(2(2(1(0(3(2(3(x1))))))))))))) -> 1(1(2(2(3(0(2(2(0(1(2(0(2(2(1(3(2(x1))))))))))))))))) 0(0(2(3(2(1(0(2(1(2(0(3(0(x1))))))))))))) -> 3(2(2(2(2(3(3(3(2(2(3(0(2(2(2(0(0(x1))))))))))))))))) 0(1(0(2(1(0(3(2(0(3(0(2(0(x1))))))))))))) -> 0(3(3(2(2(3(2(2(2(0(1(0(2(0(3(2(0(x1))))))))))))))))) 0(1(2(2(0(2(2(3(0(1(1(1(3(x1))))))))))))) -> 0(2(2(2(1(3(1(2(3(0(2(0(0(2(2(1(1(x1))))))))))))))))) 0(3(0(2(0(0(2(1(2(3(1(3(2(x1))))))))))))) -> 1(0(2(2(1(1(3(0(2(0(0(0(2(2(0(3(2(x1))))))))))))))))) 1(2(2(1(0(0(1(0(3(2(1(2(3(x1))))))))))))) -> 1(2(2(1(3(3(0(2(2(0(2(2(2(0(0(2(1(x1))))))))))))))))) 1(3(0(1(1(1(2(3(1(3(0(2(2(x1))))))))))))) -> 0(2(0(2(2(0(1(1(2(2(2(3(2(0(2(2(1(x1))))))))))))))))) 1(3(3(1(0(1(3(2(2(2(0(0(3(x1))))))))))))) -> 0(2(1(2(2(0(0(0(2(2(2(0(1(2(2(0(1(x1))))))))))))))))) 1(3(3(2(2(0(1(1(1(1(2(0(3(x1))))))))))))) -> 1(2(2(2(3(2(0(2(1(1(2(2(1(3(1(2(1(x1))))))))))))))))) 1(3(3(3(2(2(3(1(2(2(3(3(1(x1))))))))))))) -> 2(1(2(1(2(3(0(2(2(0(0(2(2(2(1(3(1(x1))))))))))))))))) 2(0(0(1(2(0(3(2(3(2(2(3(2(x1))))))))))))) -> 2(0(2(3(0(2(2(1(3(2(2(0(0(0(2(0(2(x1))))))))))))))))) 2(0(0(2(3(2(3(2(1(0(3(2(1(x1))))))))))))) -> 2(0(0(0(0(0(2(2(2(2(1(3(2(2(3(2(1(x1))))))))))))))))) 2(0(1(0(2(2(0(3(0(0(3(3(0(x1))))))))))))) -> 2(0(2(0(2(3(1(1(2(3(1(2(2(2(0(2(0(x1))))))))))))))))) 2(0(1(1(1(3(2(0(0(0(1(0(1(x1))))))))))))) -> 2(1(2(2(2(2(2(0(2(3(2(0(2(1(0(0(0(x1))))))))))))))))) 2(0(3(3(1(0(3(1(2(2(2(2(1(x1))))))))))))) -> 2(2(3(1(0(1(2(2(3(2(2(0(0(1(1(2(2(x1))))))))))))))))) 2(1(0(3(3(0(0(3(1(1(2(3(2(x1))))))))))))) -> 2(1(1(3(1(0(0(2(2(2(1(3(1(1(3(1(2(x1))))))))))))))))) 2(1(1(2(1(1(1(1(1(2(0(3(0(x1))))))))))))) -> 2(1(1(1(0(0(2(0(2(2(0(1(3(2(0(1(0(x1))))))))))))))))) 2(1(1(2(2(3(0(0(3(3(1(3(2(x1))))))))))))) -> 2(1(3(1(0(2(0(3(2(3(2(2(3(2(0(2(2(x1))))))))))))))))) 2(1(1(3(2(3(3(1(0(0(1(2(0(x1))))))))))))) -> 2(3(3(1(2(2(2(1(1(2(2(1(0(3(2(2(3(x1))))))))))))))))) 2(1(1(3(3(0(1(0(0(0(2(1(3(x1))))))))))))) -> 2(0(2(2(1(3(0(2(1(2(3(2(0(0(2(3(0(x1))))))))))))))))) 2(1(2(3(1(2(3(3(2(3(3(1(1(x1))))))))))))) -> 2(2(3(0(0(2(2(1(2(0(1(0(2(0(3(1(2(x1))))))))))))))))) 2(2(0(2(3(2(3(3(1(1(1(3(3(x1))))))))))))) -> 2(2(2(2(2(3(3(3(1(1(3(2(3(2(2(2(2(x1))))))))))))))))) 2(2(1(0(2(3(3(3(0(1(1(1(1(x1))))))))))))) -> 2(0(2(3(1(2(0(2(2(3(2(2(3(2(2(2(2(x1))))))))))))))))) 2(2(1(1(2(0(1(1(0(3(3(0(1(x1))))))))))))) -> 0(2(2(1(0(0(0(1(2(2(0(2(3(1(2(2(0(x1))))))))))))))))) 2(2(1(1(3(1(3(2(0(1(0(0(1(x1))))))))))))) -> 0(0(0(2(2(1(3(0(3(0(0(2(2(3(0(1(1(x1))))))))))))))))) 2(3(0(0(1(2(1(2(3(0(2(1(1(x1))))))))))))) -> 2(2(2(0(1(3(3(0(3(2(0(2(2(0(0(2(2(x1))))))))))))))))) 2(3(2(0(0(0(0(0(3(1(0(2(3(x1))))))))))))) -> 2(3(0(0(2(2(2(1(1(1(3(2(1(3(1(3(2(x1))))))))))))))))) 3(0(1(2(2(3(3(2(2(2(0(1(3(x1))))))))))))) -> 3(1(2(2(0(2(2(0(2(2(1(3(0(0(2(2(1(x1))))))))))))))))) 3(1(2(1(2(3(0(2(1(2(1(2(3(x1))))))))))))) -> 0(0(2(2(2(3(1(0(1(3(2(2(0(1(2(2(2(x1))))))))))))))))) 3(2(0(3(2(0(2(3(1(0(3(2(3(x1))))))))))))) -> 2(1(1(1(3(2(2(0(0(2(3(2(1(2(2(1(3(x1))))))))))))))))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_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(0(1(2(2(1(0(3(2(3(x1))))))))))))) -> 1(1(2(2(3(0(2(2(0(1(2(0(2(2(1(3(2(x1))))))))))))))))) 0(0(2(3(2(1(0(2(1(2(0(3(0(x1))))))))))))) -> 3(2(2(2(2(3(3(3(2(2(3(0(2(2(2(0(0(x1))))))))))))))))) 0(1(0(2(1(0(3(2(0(3(0(2(0(x1))))))))))))) -> 0(3(3(2(2(3(2(2(2(0(1(0(2(0(3(2(0(x1))))))))))))))))) 0(1(2(2(0(2(2(3(0(1(1(1(3(x1))))))))))))) -> 0(2(2(2(1(3(1(2(3(0(2(0(0(2(2(1(1(x1))))))))))))))))) 0(3(0(2(0(0(2(1(2(3(1(3(2(x1))))))))))))) -> 1(0(2(2(1(1(3(0(2(0(0(0(2(2(0(3(2(x1))))))))))))))))) 1(2(2(1(0(0(1(0(3(2(1(2(3(x1))))))))))))) -> 1(2(2(1(3(3(0(2(2(0(2(2(2(0(0(2(1(x1))))))))))))))))) 1(3(0(1(1(1(2(3(1(3(0(2(2(x1))))))))))))) -> 0(2(0(2(2(0(1(1(2(2(2(3(2(0(2(2(1(x1))))))))))))))))) 1(3(3(1(0(1(3(2(2(2(0(0(3(x1))))))))))))) -> 0(2(1(2(2(0(0(0(2(2(2(0(1(2(2(0(1(x1))))))))))))))))) 1(3(3(2(2(0(1(1(1(1(2(0(3(x1))))))))))))) -> 1(2(2(2(3(2(0(2(1(1(2(2(1(3(1(2(1(x1))))))))))))))))) 1(3(3(3(2(2(3(1(2(2(3(3(1(x1))))))))))))) -> 2(1(2(1(2(3(0(2(2(0(0(2(2(2(1(3(1(x1))))))))))))))))) 2(0(0(1(2(0(3(2(3(2(2(3(2(x1))))))))))))) -> 2(0(2(3(0(2(2(1(3(2(2(0(0(0(2(0(2(x1))))))))))))))))) 2(0(0(2(3(2(3(2(1(0(3(2(1(x1))))))))))))) -> 2(0(0(0(0(0(2(2(2(2(1(3(2(2(3(2(1(x1))))))))))))))))) 2(0(1(0(2(2(0(3(0(0(3(3(0(x1))))))))))))) -> 2(0(2(0(2(3(1(1(2(3(1(2(2(2(0(2(0(x1))))))))))))))))) 2(0(1(1(1(3(2(0(0(0(1(0(1(x1))))))))))))) -> 2(1(2(2(2(2(2(0(2(3(2(0(2(1(0(0(0(x1))))))))))))))))) 2(0(3(3(1(0(3(1(2(2(2(2(1(x1))))))))))))) -> 2(2(3(1(0(1(2(2(3(2(2(0(0(1(1(2(2(x1))))))))))))))))) 2(1(0(3(3(0(0(3(1(1(2(3(2(x1))))))))))))) -> 2(1(1(3(1(0(0(2(2(2(1(3(1(1(3(1(2(x1))))))))))))))))) 2(1(1(2(1(1(1(1(1(2(0(3(0(x1))))))))))))) -> 2(1(1(1(0(0(2(0(2(2(0(1(3(2(0(1(0(x1))))))))))))))))) 2(1(1(2(2(3(0(0(3(3(1(3(2(x1))))))))))))) -> 2(1(3(1(0(2(0(3(2(3(2(2(3(2(0(2(2(x1))))))))))))))))) 2(1(1(3(2(3(3(1(0(0(1(2(0(x1))))))))))))) -> 2(3(3(1(2(2(2(1(1(2(2(1(0(3(2(2(3(x1))))))))))))))))) 2(1(1(3(3(0(1(0(0(0(2(1(3(x1))))))))))))) -> 2(0(2(2(1(3(0(2(1(2(3(2(0(0(2(3(0(x1))))))))))))))))) 2(1(2(3(1(2(3(3(2(3(3(1(1(x1))))))))))))) -> 2(2(3(0(0(2(2(1(2(0(1(0(2(0(3(1(2(x1))))))))))))))))) 2(2(0(2(3(2(3(3(1(1(1(3(3(x1))))))))))))) -> 2(2(2(2(2(3(3(3(1(1(3(2(3(2(2(2(2(x1))))))))))))))))) 2(2(1(0(2(3(3(3(0(1(1(1(1(x1))))))))))))) -> 2(0(2(3(1(2(0(2(2(3(2(2(3(2(2(2(2(x1))))))))))))))))) 2(2(1(1(2(0(1(1(0(3(3(0(1(x1))))))))))))) -> 0(2(2(1(0(0(0(1(2(2(0(2(3(1(2(2(0(x1))))))))))))))))) 2(2(1(1(3(1(3(2(0(1(0(0(1(x1))))))))))))) -> 0(0(0(2(2(1(3(0(3(0(0(2(2(3(0(1(1(x1))))))))))))))))) 2(3(0(0(1(2(1(2(3(0(2(1(1(x1))))))))))))) -> 2(2(2(0(1(3(3(0(3(2(0(2(2(0(0(2(2(x1))))))))))))))))) 2(3(2(0(0(0(0(0(3(1(0(2(3(x1))))))))))))) -> 2(3(0(0(2(2(2(1(1(1(3(2(1(3(1(3(2(x1))))))))))))))))) 3(0(1(2(2(3(3(2(2(2(0(1(3(x1))))))))))))) -> 3(1(2(2(0(2(2(0(2(2(1(3(0(0(2(2(1(x1))))))))))))))))) 3(1(2(1(2(3(0(2(1(2(1(2(3(x1))))))))))))) -> 0(0(2(2(2(3(1(0(1(3(2(2(0(1(2(2(2(x1))))))))))))))))) 3(2(0(3(2(0(2(3(1(0(3(2(3(x1))))))))))))) -> 2(1(1(1(3(2(2(0(0(2(3(2(1(2(2(1(3(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(0(1(2(2(1(0(3(2(3(x1))))))))))))) -> 1(1(2(2(3(0(2(2(0(1(2(0(2(2(1(3(2(x1))))))))))))))))) 0(0(2(3(2(1(0(2(1(2(0(3(0(x1))))))))))))) -> 3(2(2(2(2(3(3(3(2(2(3(0(2(2(2(0(0(x1))))))))))))))))) 0(1(0(2(1(0(3(2(0(3(0(2(0(x1))))))))))))) -> 0(3(3(2(2(3(2(2(2(0(1(0(2(0(3(2(0(x1))))))))))))))))) 0(1(2(2(0(2(2(3(0(1(1(1(3(x1))))))))))))) -> 0(2(2(2(1(3(1(2(3(0(2(0(0(2(2(1(1(x1))))))))))))))))) 0(3(0(2(0(0(2(1(2(3(1(3(2(x1))))))))))))) -> 1(0(2(2(1(1(3(0(2(0(0(0(2(2(0(3(2(x1))))))))))))))))) 1(2(2(1(0(0(1(0(3(2(1(2(3(x1))))))))))))) -> 1(2(2(1(3(3(0(2(2(0(2(2(2(0(0(2(1(x1))))))))))))))))) 1(3(0(1(1(1(2(3(1(3(0(2(2(x1))))))))))))) -> 0(2(0(2(2(0(1(1(2(2(2(3(2(0(2(2(1(x1))))))))))))))))) 1(3(3(1(0(1(3(2(2(2(0(0(3(x1))))))))))))) -> 0(2(1(2(2(0(0(0(2(2(2(0(1(2(2(0(1(x1))))))))))))))))) 1(3(3(2(2(0(1(1(1(1(2(0(3(x1))))))))))))) -> 1(2(2(2(3(2(0(2(1(1(2(2(1(3(1(2(1(x1))))))))))))))))) 1(3(3(3(2(2(3(1(2(2(3(3(1(x1))))))))))))) -> 2(1(2(1(2(3(0(2(2(0(0(2(2(2(1(3(1(x1))))))))))))))))) 2(0(0(1(2(0(3(2(3(2(2(3(2(x1))))))))))))) -> 2(0(2(3(0(2(2(1(3(2(2(0(0(0(2(0(2(x1))))))))))))))))) 2(0(0(2(3(2(3(2(1(0(3(2(1(x1))))))))))))) -> 2(0(0(0(0(0(2(2(2(2(1(3(2(2(3(2(1(x1))))))))))))))))) 2(0(1(0(2(2(0(3(0(0(3(3(0(x1))))))))))))) -> 2(0(2(0(2(3(1(1(2(3(1(2(2(2(0(2(0(x1))))))))))))))))) 2(0(1(1(1(3(2(0(0(0(1(0(1(x1))))))))))))) -> 2(1(2(2(2(2(2(0(2(3(2(0(2(1(0(0(0(x1))))))))))))))))) 2(0(3(3(1(0(3(1(2(2(2(2(1(x1))))))))))))) -> 2(2(3(1(0(1(2(2(3(2(2(0(0(1(1(2(2(x1))))))))))))))))) 2(1(0(3(3(0(0(3(1(1(2(3(2(x1))))))))))))) -> 2(1(1(3(1(0(0(2(2(2(1(3(1(1(3(1(2(x1))))))))))))))))) 2(1(1(2(1(1(1(1(1(2(0(3(0(x1))))))))))))) -> 2(1(1(1(0(0(2(0(2(2(0(1(3(2(0(1(0(x1))))))))))))))))) 2(1(1(2(2(3(0(0(3(3(1(3(2(x1))))))))))))) -> 2(1(3(1(0(2(0(3(2(3(2(2(3(2(0(2(2(x1))))))))))))))))) 2(1(1(3(2(3(3(1(0(0(1(2(0(x1))))))))))))) -> 2(3(3(1(2(2(2(1(1(2(2(1(0(3(2(2(3(x1))))))))))))))))) 2(1(1(3(3(0(1(0(0(0(2(1(3(x1))))))))))))) -> 2(0(2(2(1(3(0(2(1(2(3(2(0(0(2(3(0(x1))))))))))))))))) 2(1(2(3(1(2(3(3(2(3(3(1(1(x1))))))))))))) -> 2(2(3(0(0(2(2(1(2(0(1(0(2(0(3(1(2(x1))))))))))))))))) 2(2(0(2(3(2(3(3(1(1(1(3(3(x1))))))))))))) -> 2(2(2(2(2(3(3(3(1(1(3(2(3(2(2(2(2(x1))))))))))))))))) 2(2(1(0(2(3(3(3(0(1(1(1(1(x1))))))))))))) -> 2(0(2(3(1(2(0(2(2(3(2(2(3(2(2(2(2(x1))))))))))))))))) 2(2(1(1(2(0(1(1(0(3(3(0(1(x1))))))))))))) -> 0(2(2(1(0(0(0(1(2(2(0(2(3(1(2(2(0(x1))))))))))))))))) 2(2(1(1(3(1(3(2(0(1(0(0(1(x1))))))))))))) -> 0(0(0(2(2(1(3(0(3(0(0(2(2(3(0(1(1(x1))))))))))))))))) 2(3(0(0(1(2(1(2(3(0(2(1(1(x1))))))))))))) -> 2(2(2(0(1(3(3(0(3(2(0(2(2(0(0(2(2(x1))))))))))))))))) 2(3(2(0(0(0(0(0(3(1(0(2(3(x1))))))))))))) -> 2(3(0(0(2(2(2(1(1(1(3(2(1(3(1(3(2(x1))))))))))))))))) 3(0(1(2(2(3(3(2(2(2(0(1(3(x1))))))))))))) -> 3(1(2(2(0(2(2(0(2(2(1(3(0(0(2(2(1(x1))))))))))))))))) 3(1(2(1(2(3(0(2(1(2(1(2(3(x1))))))))))))) -> 0(0(2(2(2(3(1(0(1(3(2(2(0(1(2(2(2(x1))))))))))))))))) 3(2(0(3(2(0(2(3(1(0(3(2(3(x1))))))))))))) -> 2(1(1(1(3(2(2(0(0(2(3(2(1(2(2(1(3(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(0(1(2(2(1(0(3(2(3(x1))))))))))))) -> 1(1(2(2(3(0(2(2(0(1(2(0(2(2(1(3(2(x1))))))))))))))))) 0(0(2(3(2(1(0(2(1(2(0(3(0(x1))))))))))))) -> 3(2(2(2(2(3(3(3(2(2(3(0(2(2(2(0(0(x1))))))))))))))))) 0(1(0(2(1(0(3(2(0(3(0(2(0(x1))))))))))))) -> 0(3(3(2(2(3(2(2(2(0(1(0(2(0(3(2(0(x1))))))))))))))))) 0(1(2(2(0(2(2(3(0(1(1(1(3(x1))))))))))))) -> 0(2(2(2(1(3(1(2(3(0(2(0(0(2(2(1(1(x1))))))))))))))))) 0(3(0(2(0(0(2(1(2(3(1(3(2(x1))))))))))))) -> 1(0(2(2(1(1(3(0(2(0(0(0(2(2(0(3(2(x1))))))))))))))))) 1(2(2(1(0(0(1(0(3(2(1(2(3(x1))))))))))))) -> 1(2(2(1(3(3(0(2(2(0(2(2(2(0(0(2(1(x1))))))))))))))))) 1(3(0(1(1(1(2(3(1(3(0(2(2(x1))))))))))))) -> 0(2(0(2(2(0(1(1(2(2(2(3(2(0(2(2(1(x1))))))))))))))))) 1(3(3(1(0(1(3(2(2(2(0(0(3(x1))))))))))))) -> 0(2(1(2(2(0(0(0(2(2(2(0(1(2(2(0(1(x1))))))))))))))))) 1(3(3(2(2(0(1(1(1(1(2(0(3(x1))))))))))))) -> 1(2(2(2(3(2(0(2(1(1(2(2(1(3(1(2(1(x1))))))))))))))))) 1(3(3(3(2(2(3(1(2(2(3(3(1(x1))))))))))))) -> 2(1(2(1(2(3(0(2(2(0(0(2(2(2(1(3(1(x1))))))))))))))))) 2(0(0(1(2(0(3(2(3(2(2(3(2(x1))))))))))))) -> 2(0(2(3(0(2(2(1(3(2(2(0(0(0(2(0(2(x1))))))))))))))))) 2(0(0(2(3(2(3(2(1(0(3(2(1(x1))))))))))))) -> 2(0(0(0(0(0(2(2(2(2(1(3(2(2(3(2(1(x1))))))))))))))))) 2(0(1(0(2(2(0(3(0(0(3(3(0(x1))))))))))))) -> 2(0(2(0(2(3(1(1(2(3(1(2(2(2(0(2(0(x1))))))))))))))))) 2(0(1(1(1(3(2(0(0(0(1(0(1(x1))))))))))))) -> 2(1(2(2(2(2(2(0(2(3(2(0(2(1(0(0(0(x1))))))))))))))))) 2(0(3(3(1(0(3(1(2(2(2(2(1(x1))))))))))))) -> 2(2(3(1(0(1(2(2(3(2(2(0(0(1(1(2(2(x1))))))))))))))))) 2(1(0(3(3(0(0(3(1(1(2(3(2(x1))))))))))))) -> 2(1(1(3(1(0(0(2(2(2(1(3(1(1(3(1(2(x1))))))))))))))))) 2(1(1(2(1(1(1(1(1(2(0(3(0(x1))))))))))))) -> 2(1(1(1(0(0(2(0(2(2(0(1(3(2(0(1(0(x1))))))))))))))))) 2(1(1(2(2(3(0(0(3(3(1(3(2(x1))))))))))))) -> 2(1(3(1(0(2(0(3(2(3(2(2(3(2(0(2(2(x1))))))))))))))))) 2(1(1(3(2(3(3(1(0(0(1(2(0(x1))))))))))))) -> 2(3(3(1(2(2(2(1(1(2(2(1(0(3(2(2(3(x1))))))))))))))))) 2(1(1(3(3(0(1(0(0(0(2(1(3(x1))))))))))))) -> 2(0(2(2(1(3(0(2(1(2(3(2(0(0(2(3(0(x1))))))))))))))))) 2(1(2(3(1(2(3(3(2(3(3(1(1(x1))))))))))))) -> 2(2(3(0(0(2(2(1(2(0(1(0(2(0(3(1(2(x1))))))))))))))))) 2(2(0(2(3(2(3(3(1(1(1(3(3(x1))))))))))))) -> 2(2(2(2(2(3(3(3(1(1(3(2(3(2(2(2(2(x1))))))))))))))))) 2(2(1(0(2(3(3(3(0(1(1(1(1(x1))))))))))))) -> 2(0(2(3(1(2(0(2(2(3(2(2(3(2(2(2(2(x1))))))))))))))))) 2(2(1(1(2(0(1(1(0(3(3(0(1(x1))))))))))))) -> 0(2(2(1(0(0(0(1(2(2(0(2(3(1(2(2(0(x1))))))))))))))))) 2(2(1(1(3(1(3(2(0(1(0(0(1(x1))))))))))))) -> 0(0(0(2(2(1(3(0(3(0(0(2(2(3(0(1(1(x1))))))))))))))))) 2(3(0(0(1(2(1(2(3(0(2(1(1(x1))))))))))))) -> 2(2(2(0(1(3(3(0(3(2(0(2(2(0(0(2(2(x1))))))))))))))))) 2(3(2(0(0(0(0(0(3(1(0(2(3(x1))))))))))))) -> 2(3(0(0(2(2(2(1(1(1(3(2(1(3(1(3(2(x1))))))))))))))))) 3(0(1(2(2(3(3(2(2(2(0(1(3(x1))))))))))))) -> 3(1(2(2(0(2(2(0(2(2(1(3(0(0(2(2(1(x1))))))))))))))))) 3(1(2(1(2(3(0(2(1(2(1(2(3(x1))))))))))))) -> 0(0(2(2(2(3(1(0(1(3(2(2(0(1(2(2(2(x1))))))))))))))))) 3(2(0(3(2(0(2(3(1(0(3(2(3(x1))))))))))))) -> 2(1(1(1(3(2(2(0(0(2(3(2(1(2(2(1(3(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. "[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, 535, 536, 537, 538, 539, 540, 541, 542, 543] {(61,62,[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]), (61,63,[0_1|1, 1_1|1, 2_1|1, 3_1|1]), (61,64,[1_1|2]), (61,80,[3_1|2]), (61,96,[0_1|2]), (61,112,[0_1|2]), (61,128,[1_1|2]), (61,144,[1_1|2]), (61,160,[0_1|2]), (61,176,[0_1|2]), (61,192,[1_1|2]), (61,208,[2_1|2]), (61,224,[2_1|2]), (61,240,[2_1|2]), (61,256,[2_1|2]), (61,272,[2_1|2]), (61,288,[2_1|2]), (61,304,[2_1|2]), (61,320,[2_1|2]), (61,336,[2_1|2]), (61,352,[2_1|2]), (61,368,[2_1|2]), (61,384,[2_1|2]), (61,400,[2_1|2]), (61,416,[2_1|2]), (61,432,[0_1|2]), (61,448,[0_1|2]), (61,464,[2_1|2]), (61,480,[2_1|2]), (61,496,[3_1|2]), (61,512,[0_1|2]), (61,528,[2_1|2]), (62,62,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0]), (63,62,[encArg_1|1]), (63,63,[0_1|1, 1_1|1, 2_1|1, 3_1|1]), (63,64,[1_1|2]), (63,80,[3_1|2]), (63,96,[0_1|2]), (63,112,[0_1|2]), (63,128,[1_1|2]), (63,144,[1_1|2]), (63,160,[0_1|2]), (63,176,[0_1|2]), (63,192,[1_1|2]), (63,208,[2_1|2]), (63,224,[2_1|2]), (63,240,[2_1|2]), (63,256,[2_1|2]), (63,272,[2_1|2]), (63,288,[2_1|2]), (63,304,[2_1|2]), (63,320,[2_1|2]), (63,336,[2_1|2]), (63,352,[2_1|2]), (63,368,[2_1|2]), (63,384,[2_1|2]), (63,400,[2_1|2]), (63,416,[2_1|2]), (63,432,[0_1|2]), (63,448,[0_1|2]), (63,464,[2_1|2]), (63,480,[2_1|2]), (63,496,[3_1|2]), (63,512,[0_1|2]), (63,528,[2_1|2]), (64,65,[1_1|2]), (65,66,[2_1|2]), (66,67,[2_1|2]), (67,68,[3_1|2]), (68,69,[0_1|2]), (69,70,[2_1|2]), (70,71,[2_1|2]), (71,72,[0_1|2]), (72,73,[1_1|2]), (73,74,[2_1|2]), (74,75,[0_1|2]), (75,76,[2_1|2]), (76,77,[2_1|2]), (77,78,[1_1|2]), (78,79,[3_1|2]), (78,528,[2_1|2]), (79,63,[2_1|2]), (79,80,[2_1|2]), (79,496,[2_1|2]), (79,353,[2_1|2]), (79,481,[2_1|2]), (79,224,[2_1|2]), (79,240,[2_1|2]), (79,256,[2_1|2]), (79,272,[2_1|2]), (79,288,[2_1|2]), (79,304,[2_1|2]), (79,320,[2_1|2]), (79,336,[2_1|2]), (79,352,[2_1|2]), (79,368,[2_1|2]), (79,384,[2_1|2]), (79,400,[2_1|2]), (79,416,[2_1|2]), (79,432,[0_1|2]), (79,448,[0_1|2]), (79,464,[2_1|2]), (79,480,[2_1|2]), (80,81,[2_1|2]), (81,82,[2_1|2]), (82,83,[2_1|2]), (83,84,[2_1|2]), (84,85,[3_1|2]), (85,86,[3_1|2]), (86,87,[3_1|2]), (87,88,[2_1|2]), (88,89,[2_1|2]), (89,90,[3_1|2]), (90,91,[0_1|2]), (91,92,[2_1|2]), (92,93,[2_1|2]), (93,94,[2_1|2]), (93,224,[2_1|2]), (93,240,[2_1|2]), (94,95,[0_1|2]), (94,64,[1_1|2]), (94,80,[3_1|2]), (95,63,[0_1|2]), (95,96,[0_1|2]), (95,112,[0_1|2]), (95,160,[0_1|2]), (95,176,[0_1|2]), (95,432,[0_1|2]), (95,448,[0_1|2]), (95,512,[0_1|2]), (95,64,[1_1|2]), (95,80,[3_1|2]), (95,128,[1_1|2]), (96,97,[3_1|2]), (97,98,[3_1|2]), (98,99,[2_1|2]), (99,100,[2_1|2]), (100,101,[3_1|2]), (101,102,[2_1|2]), (102,103,[2_1|2]), (103,104,[2_1|2]), (104,105,[0_1|2]), (105,106,[1_1|2]), (106,107,[0_1|2]), (107,108,[2_1|2]), (108,109,[0_1|2]), (109,110,[3_1|2]), (109,528,[2_1|2]), (110,111,[2_1|2]), (110,224,[2_1|2]), (110,240,[2_1|2]), (110,256,[2_1|2]), (110,272,[2_1|2]), (110,288,[2_1|2]), (111,63,[0_1|2]), (111,96,[0_1|2]), (111,112,[0_1|2]), (111,160,[0_1|2]), (111,176,[0_1|2]), (111,432,[0_1|2]), (111,448,[0_1|2]), (111,512,[0_1|2]), (111,225,[0_1|2]), (111,241,[0_1|2]), (111,257,[0_1|2]), (111,369,[0_1|2]), (111,417,[0_1|2]), (111,162,[0_1|2]), (111,64,[1_1|2]), (111,80,[3_1|2]), (111,128,[1_1|2]), (112,113,[2_1|2]), (113,114,[2_1|2]), (114,115,[2_1|2]), (115,116,[1_1|2]), (116,117,[3_1|2]), (117,118,[1_1|2]), (118,119,[2_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,[2_1|2]), (124,432,[0_1|2]), (124,448,[0_1|2]), (125,126,[2_1|2]), (125,320,[2_1|2]), (125,336,[2_1|2]), (125,352,[2_1|2]), (125,368,[2_1|2]), (126,127,[1_1|2]), (127,63,[1_1|2]), (127,80,[1_1|2]), (127,496,[1_1|2]), (127,144,[1_1|2]), (127,160,[0_1|2]), (127,176,[0_1|2]), (127,192,[1_1|2]), (127,208,[2_1|2]), (128,129,[0_1|2]), (129,130,[2_1|2]), (130,131,[2_1|2]), (131,132,[1_1|2]), (132,133,[1_1|2]), (133,134,[3_1|2]), (134,135,[0_1|2]), (135,136,[2_1|2]), (136,137,[0_1|2]), (137,138,[0_1|2]), (138,139,[0_1|2]), (139,140,[2_1|2]), (140,141,[2_1|2]), (141,142,[0_1|2]), (142,143,[3_1|2]), (142,528,[2_1|2]), (143,63,[2_1|2]), (143,208,[2_1|2]), (143,224,[2_1|2]), (143,240,[2_1|2]), (143,256,[2_1|2]), (143,272,[2_1|2]), (143,288,[2_1|2]), (143,304,[2_1|2]), (143,320,[2_1|2]), (143,336,[2_1|2]), (143,352,[2_1|2]), (143,368,[2_1|2]), (143,384,[2_1|2]), (143,400,[2_1|2]), (143,416,[2_1|2]), (143,464,[2_1|2]), (143,480,[2_1|2]), (143,528,[2_1|2]), (143,81,[2_1|2]), (143,432,[0_1|2]), (143,448,[0_1|2]), (144,145,[2_1|2]), (145,146,[2_1|2]), (146,147,[1_1|2]), (147,148,[3_1|2]), (148,149,[3_1|2]), (149,150,[0_1|2]), (150,151,[2_1|2]), (151,152,[2_1|2]), (152,153,[0_1|2]), (153,154,[2_1|2]), (154,155,[2_1|2]), (155,156,[2_1|2]), (156,157,[0_1|2]), (157,158,[0_1|2]), (158,159,[2_1|2]), (158,304,[2_1|2]), (158,320,[2_1|2]), (158,336,[2_1|2]), (158,352,[2_1|2]), (158,368,[2_1|2]), (158,384,[2_1|2]), (159,63,[1_1|2]), (159,80,[1_1|2]), (159,496,[1_1|2]), (159,353,[1_1|2]), (159,481,[1_1|2]), (159,144,[1_1|2]), (159,160,[0_1|2]), (159,176,[0_1|2]), (159,192,[1_1|2]), (159,208,[2_1|2]), (160,161,[2_1|2]), (161,162,[0_1|2]), (162,163,[2_1|2]), (163,164,[2_1|2]), (164,165,[0_1|2]), (165,166,[1_1|2]), (166,167,[1_1|2]), (167,168,[2_1|2]), (168,169,[2_1|2]), (169,170,[2_1|2]), (170,171,[3_1|2]), (171,172,[2_1|2]), (172,173,[0_1|2]), (173,174,[2_1|2]), (173,416,[2_1|2]), (173,432,[0_1|2]), (173,448,[0_1|2]), (174,175,[2_1|2]), (174,304,[2_1|2]), (174,320,[2_1|2]), (174,336,[2_1|2]), (174,352,[2_1|2]), (174,368,[2_1|2]), (174,384,[2_1|2]), (175,63,[1_1|2]), (175,208,[1_1|2, 2_1|2]), (175,224,[1_1|2]), (175,240,[1_1|2]), (175,256,[1_1|2]), (175,272,[1_1|2]), (175,288,[1_1|2]), (175,304,[1_1|2]), (175,320,[1_1|2]), (175,336,[1_1|2]), (175,352,[1_1|2]), (175,368,[1_1|2]), (175,384,[1_1|2]), (175,400,[1_1|2]), (175,416,[1_1|2]), (175,464,[1_1|2]), (175,480,[1_1|2]), (175,528,[1_1|2]), (175,289,[1_1|2]), (175,385,[1_1|2]), (175,401,[1_1|2]), (175,465,[1_1|2]), (175,114,[1_1|2]), (175,434,[1_1|2]), (175,144,[1_1|2]), (175,160,[0_1|2]), (175,176,[0_1|2]), (175,192,[1_1|2]), (176,177,[2_1|2]), (177,178,[1_1|2]), (178,179,[2_1|2]), (179,180,[2_1|2]), (180,181,[0_1|2]), (181,182,[0_1|2]), (182,183,[0_1|2]), (183,184,[2_1|2]), (184,185,[2_1|2]), (185,186,[2_1|2]), (186,187,[0_1|2]), (187,188,[1_1|2]), (188,189,[2_1|2]), (189,190,[2_1|2]), (189,256,[2_1|2]), (189,272,[2_1|2]), (190,191,[0_1|2]), (190,96,[0_1|2]), (190,112,[0_1|2]), (191,63,[1_1|2]), (191,80,[1_1|2]), (191,496,[1_1|2]), (191,97,[1_1|2]), (191,144,[1_1|2]), (191,160,[0_1|2]), (191,176,[0_1|2]), (191,192,[1_1|2]), (191,208,[2_1|2]), (192,193,[2_1|2]), (193,194,[2_1|2]), (194,195,[2_1|2]), (195,196,[3_1|2]), (196,197,[2_1|2]), (197,198,[0_1|2]), (198,199,[2_1|2]), (199,200,[1_1|2]), (200,201,[1_1|2]), (201,202,[2_1|2]), (202,203,[2_1|2]), (203,204,[1_1|2]), (204,205,[3_1|2]), (204,512,[0_1|2]), (205,206,[1_1|2]), (206,207,[2_1|2]), (206,304,[2_1|2]), (206,320,[2_1|2]), (206,336,[2_1|2]), (206,352,[2_1|2]), (206,368,[2_1|2]), (206,384,[2_1|2]), (207,63,[1_1|2]), (207,80,[1_1|2]), (207,496,[1_1|2]), (207,97,[1_1|2]), (207,144,[1_1|2]), (207,160,[0_1|2]), (207,176,[0_1|2]), (207,192,[1_1|2]), (207,208,[2_1|2]), (208,209,[1_1|2]), (209,210,[2_1|2]), (210,211,[1_1|2]), (211,212,[2_1|2]), (212,213,[3_1|2]), (213,214,[0_1|2]), (214,215,[2_1|2]), (215,216,[2_1|2]), (216,217,[0_1|2]), (217,218,[0_1|2]), (218,219,[2_1|2]), (219,220,[2_1|2]), (220,221,[2_1|2]), (221,222,[1_1|2]), (222,223,[3_1|2]), (222,512,[0_1|2]), (223,63,[1_1|2]), (223,64,[1_1|2]), (223,128,[1_1|2]), (223,144,[1_1|2]), (223,192,[1_1|2]), (223,497,[1_1|2]), (223,355,[1_1|2]), (223,160,[0_1|2]), (223,176,[0_1|2]), (223,208,[2_1|2]), (224,225,[0_1|2]), (225,226,[2_1|2]), (226,227,[3_1|2]), (227,228,[0_1|2]), (228,229,[2_1|2]), (229,230,[2_1|2]), (230,231,[1_1|2]), (231,232,[3_1|2]), (232,233,[2_1|2]), (233,234,[2_1|2]), (234,235,[0_1|2]), (235,236,[0_1|2]), (236,237,[0_1|2]), (237,238,[2_1|2]), (238,239,[0_1|2]), (239,63,[2_1|2]), (239,208,[2_1|2]), (239,224,[2_1|2]), (239,240,[2_1|2]), (239,256,[2_1|2]), (239,272,[2_1|2]), (239,288,[2_1|2]), (239,304,[2_1|2]), (239,320,[2_1|2]), (239,336,[2_1|2]), (239,352,[2_1|2]), (239,368,[2_1|2]), (239,384,[2_1|2]), (239,400,[2_1|2]), (239,416,[2_1|2]), (239,464,[2_1|2]), (239,480,[2_1|2]), (239,528,[2_1|2]), (239,81,[2_1|2]), (239,432,[0_1|2]), (239,448,[0_1|2]), (240,241,[0_1|2]), (241,242,[0_1|2]), (242,243,[0_1|2]), (243,244,[0_1|2]), (244,245,[0_1|2]), (245,246,[2_1|2]), (246,247,[2_1|2]), (247,248,[2_1|2]), (248,249,[2_1|2]), (249,250,[1_1|2]), (250,251,[3_1|2]), (251,252,[2_1|2]), (252,253,[2_1|2]), (253,254,[3_1|2]), (254,255,[2_1|2]), (254,304,[2_1|2]), (254,320,[2_1|2]), (254,336,[2_1|2]), (254,352,[2_1|2]), (254,368,[2_1|2]), (254,384,[2_1|2]), (255,63,[1_1|2]), (255,64,[1_1|2]), (255,128,[1_1|2]), (255,144,[1_1|2]), (255,192,[1_1|2]), (255,209,[1_1|2]), (255,273,[1_1|2]), (255,305,[1_1|2]), (255,321,[1_1|2]), (255,337,[1_1|2]), (255,529,[1_1|2]), (255,160,[0_1|2]), (255,176,[0_1|2]), (255,208,[2_1|2]), (256,257,[0_1|2]), (257,258,[2_1|2]), (258,259,[0_1|2]), (259,260,[2_1|2]), (260,261,[3_1|2]), (261,262,[1_1|2]), (262,263,[1_1|2]), (263,264,[2_1|2]), (264,265,[3_1|2]), (265,266,[1_1|2]), (266,267,[2_1|2]), (267,268,[2_1|2]), (268,269,[2_1|2]), (269,270,[0_1|2]), (270,271,[2_1|2]), (270,224,[2_1|2]), (270,240,[2_1|2]), (270,256,[2_1|2]), (270,272,[2_1|2]), (270,288,[2_1|2]), (271,63,[0_1|2]), (271,96,[0_1|2]), (271,112,[0_1|2]), (271,160,[0_1|2]), (271,176,[0_1|2]), (271,432,[0_1|2]), (271,448,[0_1|2]), (271,512,[0_1|2]), (271,64,[1_1|2]), (271,80,[3_1|2]), (271,128,[1_1|2]), (272,273,[1_1|2]), (273,274,[2_1|2]), (274,275,[2_1|2]), (275,276,[2_1|2]), (276,277,[2_1|2]), (277,278,[2_1|2]), (278,279,[0_1|2]), (279,280,[2_1|2]), (280,281,[3_1|2]), (281,282,[2_1|2]), (282,283,[0_1|2]), (283,284,[2_1|2]), (284,285,[1_1|2]), (285,286,[0_1|2]), (285,64,[1_1|2]), (286,287,[0_1|2]), (286,64,[1_1|2]), (286,80,[3_1|2]), (287,63,[0_1|2]), (287,64,[0_1|2, 1_1|2]), (287,128,[0_1|2, 1_1|2]), (287,144,[0_1|2]), (287,192,[0_1|2]), (287,80,[3_1|2]), (287,96,[0_1|2]), (287,112,[0_1|2]), (288,289,[2_1|2]), (289,290,[3_1|2]), (290,291,[1_1|2]), (291,292,[0_1|2]), (292,293,[1_1|2]), (293,294,[2_1|2]), (294,295,[2_1|2]), (295,296,[3_1|2]), (296,297,[2_1|2]), (297,298,[2_1|2]), (298,299,[0_1|2]), (299,300,[0_1|2]), (300,301,[1_1|2]), (301,302,[1_1|2]), (301,144,[1_1|2]), (302,303,[2_1|2]), (302,400,[2_1|2]), (302,416,[2_1|2]), (302,432,[0_1|2]), (302,448,[0_1|2]), (303,63,[2_1|2]), (303,64,[2_1|2]), (303,128,[2_1|2]), (303,144,[2_1|2]), (303,192,[2_1|2]), (303,209,[2_1|2]), (303,273,[2_1|2]), (303,305,[2_1|2]), (303,321,[2_1|2]), (303,337,[2_1|2]), (303,529,[2_1|2]), (303,224,[2_1|2]), (303,240,[2_1|2]), (303,256,[2_1|2]), (303,272,[2_1|2]), (303,288,[2_1|2]), (303,304,[2_1|2]), (303,320,[2_1|2]), (303,336,[2_1|2]), (303,352,[2_1|2]), (303,368,[2_1|2]), (303,384,[2_1|2]), (303,400,[2_1|2]), (303,416,[2_1|2]), (303,432,[0_1|2]), (303,448,[0_1|2]), (303,464,[2_1|2]), (303,480,[2_1|2]), (304,305,[1_1|2]), (305,306,[1_1|2]), (306,307,[3_1|2]), (307,308,[1_1|2]), (308,309,[0_1|2]), (309,310,[0_1|2]), (310,311,[2_1|2]), (311,312,[2_1|2]), (312,313,[2_1|2]), (313,314,[1_1|2]), (314,315,[3_1|2]), (315,316,[1_1|2]), (316,317,[1_1|2]), (317,318,[3_1|2]), (317,512,[0_1|2]), (318,319,[1_1|2]), (318,144,[1_1|2]), (319,63,[2_1|2]), (319,208,[2_1|2]), (319,224,[2_1|2]), (319,240,[2_1|2]), (319,256,[2_1|2]), (319,272,[2_1|2]), (319,288,[2_1|2]), (319,304,[2_1|2]), (319,320,[2_1|2]), (319,336,[2_1|2]), (319,352,[2_1|2]), (319,368,[2_1|2]), (319,384,[2_1|2]), (319,400,[2_1|2]), (319,416,[2_1|2]), (319,464,[2_1|2]), (319,480,[2_1|2]), (319,528,[2_1|2]), (319,81,[2_1|2]), (319,432,[0_1|2]), (319,448,[0_1|2]), (320,321,[1_1|2]), (321,322,[1_1|2]), (322,323,[1_1|2]), (323,324,[0_1|2]), (324,325,[0_1|2]), (325,326,[2_1|2]), (326,327,[0_1|2]), (327,328,[2_1|2]), (328,329,[2_1|2]), (329,330,[0_1|2]), (330,331,[1_1|2]), (331,332,[3_1|2]), (332,333,[2_1|2]), (332,256,[2_1|2]), (333,334,[0_1|2]), (333,96,[0_1|2]), (334,335,[1_1|2]), (335,63,[0_1|2]), (335,96,[0_1|2]), (335,112,[0_1|2]), (335,160,[0_1|2]), (335,176,[0_1|2]), (335,432,[0_1|2]), (335,448,[0_1|2]), (335,512,[0_1|2]), (335,64,[1_1|2]), (335,80,[3_1|2]), (335,128,[1_1|2]), (336,337,[1_1|2]), (337,338,[3_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,[3_1|2]), (345,346,[2_1|2]), (346,347,[2_1|2]), (347,348,[3_1|2]), (348,349,[2_1|2]), (349,350,[0_1|2]), (350,351,[2_1|2]), (350,400,[2_1|2]), (350,416,[2_1|2]), (350,432,[0_1|2]), (350,448,[0_1|2]), (351,63,[2_1|2]), (351,208,[2_1|2]), (351,224,[2_1|2]), (351,240,[2_1|2]), (351,256,[2_1|2]), (351,272,[2_1|2]), (351,288,[2_1|2]), (351,304,[2_1|2]), (351,320,[2_1|2]), (351,336,[2_1|2]), (351,352,[2_1|2]), (351,368,[2_1|2]), (351,384,[2_1|2]), (351,400,[2_1|2]), (351,416,[2_1|2]), (351,464,[2_1|2]), (351,480,[2_1|2]), (351,528,[2_1|2]), (351,81,[2_1|2]), (351,432,[0_1|2]), (351,448,[0_1|2]), (352,353,[3_1|2]), (353,354,[3_1|2]), (354,355,[1_1|2]), (355,356,[2_1|2]), (356,357,[2_1|2]), (357,358,[2_1|2]), (358,359,[1_1|2]), (359,360,[1_1|2]), (360,361,[2_1|2]), (361,362,[2_1|2]), (362,363,[1_1|2]), (363,364,[0_1|2]), (364,365,[3_1|2]), (365,366,[2_1|2]), (366,367,[2_1|2]), (366,464,[2_1|2]), (366,480,[2_1|2]), (367,63,[3_1|2]), (367,96,[3_1|2]), (367,112,[3_1|2]), (367,160,[3_1|2]), (367,176,[3_1|2]), (367,432,[3_1|2]), (367,448,[3_1|2]), (367,512,[3_1|2, 0_1|2]), (367,225,[3_1|2]), (367,241,[3_1|2]), (367,257,[3_1|2]), (367,369,[3_1|2]), (367,417,[3_1|2]), (367,496,[3_1|2]), (367,528,[2_1|2]), (368,369,[0_1|2]), (369,370,[2_1|2]), (370,371,[2_1|2]), (371,372,[1_1|2]), (372,373,[3_1|2]), (373,374,[0_1|2]), (374,375,[2_1|2]), (375,376,[1_1|2]), (376,377,[2_1|2]), (377,378,[3_1|2]), (378,379,[2_1|2]), (379,380,[0_1|2]), (380,381,[0_1|2]), (381,382,[2_1|2]), (381,464,[2_1|2]), (382,383,[3_1|2]), (382,496,[3_1|2]), (383,63,[0_1|2]), (383,80,[0_1|2, 3_1|2]), (383,496,[0_1|2]), (383,338,[0_1|2]), (383,64,[1_1|2]), (383,96,[0_1|2]), (383,112,[0_1|2]), (383,128,[1_1|2]), (384,385,[2_1|2]), (385,386,[3_1|2]), (386,387,[0_1|2]), (387,388,[0_1|2]), (388,389,[2_1|2]), (389,390,[2_1|2]), (390,391,[1_1|2]), (391,392,[2_1|2]), (392,393,[0_1|2]), (393,394,[1_1|2]), (394,395,[0_1|2]), (395,396,[2_1|2]), (396,397,[0_1|2]), (397,398,[3_1|2]), (397,512,[0_1|2]), (398,399,[1_1|2]), (398,144,[1_1|2]), (399,63,[2_1|2]), (399,64,[2_1|2]), (399,128,[2_1|2]), (399,144,[2_1|2]), (399,192,[2_1|2]), (399,65,[2_1|2]), (399,224,[2_1|2]), (399,240,[2_1|2]), (399,256,[2_1|2]), (399,272,[2_1|2]), (399,288,[2_1|2]), (399,304,[2_1|2]), (399,320,[2_1|2]), (399,336,[2_1|2]), (399,352,[2_1|2]), (399,368,[2_1|2]), (399,384,[2_1|2]), (399,400,[2_1|2]), (399,416,[2_1|2]), (399,432,[0_1|2]), (399,448,[0_1|2]), (399,464,[2_1|2]), (399,480,[2_1|2]), (400,401,[2_1|2]), (401,402,[2_1|2]), (402,403,[2_1|2]), (403,404,[2_1|2]), (404,405,[3_1|2]), (405,406,[3_1|2]), (406,407,[3_1|2]), (407,408,[1_1|2]), (408,409,[1_1|2]), (409,410,[3_1|2]), (410,411,[2_1|2]), (411,412,[3_1|2]), (412,413,[2_1|2]), (413,414,[2_1|2]), (414,415,[2_1|2]), (414,400,[2_1|2]), (414,416,[2_1|2]), (414,432,[0_1|2]), (414,448,[0_1|2]), (415,63,[2_1|2]), (415,80,[2_1|2]), (415,496,[2_1|2]), (415,224,[2_1|2]), (415,240,[2_1|2]), (415,256,[2_1|2]), (415,272,[2_1|2]), (415,288,[2_1|2]), (415,304,[2_1|2]), (415,320,[2_1|2]), (415,336,[2_1|2]), (415,352,[2_1|2]), (415,368,[2_1|2]), (415,384,[2_1|2]), (415,400,[2_1|2]), (415,416,[2_1|2]), (415,432,[0_1|2]), (415,448,[0_1|2]), (415,464,[2_1|2]), (415,480,[2_1|2]), (416,417,[0_1|2]), (417,418,[2_1|2]), (418,419,[3_1|2]), (419,420,[1_1|2]), (420,421,[2_1|2]), (421,422,[0_1|2]), (422,423,[2_1|2]), (423,424,[2_1|2]), (424,425,[3_1|2]), (425,426,[2_1|2]), (426,427,[2_1|2]), (427,428,[3_1|2]), (428,429,[2_1|2]), (429,430,[2_1|2]), (430,431,[2_1|2]), (430,400,[2_1|2]), (430,416,[2_1|2]), (430,432,[0_1|2]), (430,448,[0_1|2]), (431,63,[2_1|2]), (431,64,[2_1|2]), (431,128,[2_1|2]), (431,144,[2_1|2]), (431,192,[2_1|2]), (431,65,[2_1|2]), (431,224,[2_1|2]), (431,240,[2_1|2]), (431,256,[2_1|2]), (431,272,[2_1|2]), (431,288,[2_1|2]), (431,304,[2_1|2]), (431,320,[2_1|2]), (431,336,[2_1|2]), (431,352,[2_1|2]), (431,368,[2_1|2]), (431,384,[2_1|2]), (431,400,[2_1|2]), (431,416,[2_1|2]), (431,432,[0_1|2]), (431,448,[0_1|2]), (431,464,[2_1|2]), (431,480,[2_1|2]), (432,433,[2_1|2]), (433,434,[2_1|2]), (434,435,[1_1|2]), (435,436,[0_1|2]), (436,437,[0_1|2]), (437,438,[0_1|2]), (438,439,[1_1|2]), (439,440,[2_1|2]), (440,441,[2_1|2]), (441,442,[0_1|2]), (442,443,[2_1|2]), (443,444,[3_1|2]), (444,445,[1_1|2]), (445,446,[2_1|2]), (445,400,[2_1|2]), (446,447,[2_1|2]), (446,224,[2_1|2]), (446,240,[2_1|2]), (446,256,[2_1|2]), (446,272,[2_1|2]), (446,288,[2_1|2]), (447,63,[0_1|2]), (447,64,[0_1|2, 1_1|2]), (447,128,[0_1|2, 1_1|2]), (447,144,[0_1|2]), (447,192,[0_1|2]), (447,80,[3_1|2]), (447,96,[0_1|2]), (447,112,[0_1|2]), (448,449,[0_1|2]), (449,450,[0_1|2]), (450,451,[2_1|2]), (451,452,[2_1|2]), (452,453,[1_1|2]), (453,454,[3_1|2]), (454,455,[0_1|2]), (455,456,[3_1|2]), (456,457,[0_1|2]), (457,458,[0_1|2]), (458,459,[2_1|2]), (459,460,[2_1|2]), (460,461,[3_1|2]), (461,462,[0_1|2]), (462,463,[1_1|2]), (463,63,[1_1|2]), (463,64,[1_1|2]), (463,128,[1_1|2]), (463,144,[1_1|2]), (463,192,[1_1|2]), (463,160,[0_1|2]), (463,176,[0_1|2]), (463,208,[2_1|2]), (464,465,[2_1|2]), (465,466,[2_1|2]), (466,467,[0_1|2]), (467,468,[1_1|2]), (468,469,[3_1|2]), (469,470,[3_1|2]), (470,471,[0_1|2]), (471,472,[3_1|2]), (472,473,[2_1|2]), (473,474,[0_1|2]), (474,475,[2_1|2]), (475,476,[2_1|2]), (476,477,[0_1|2]), (477,478,[0_1|2]), (478,479,[2_1|2]), (478,400,[2_1|2]), (478,416,[2_1|2]), (478,432,[0_1|2]), (478,448,[0_1|2]), (479,63,[2_1|2]), (479,64,[2_1|2]), (479,128,[2_1|2]), (479,144,[2_1|2]), (479,192,[2_1|2]), (479,65,[2_1|2]), (479,306,[2_1|2]), (479,322,[2_1|2]), (479,530,[2_1|2]), (479,224,[2_1|2]), (479,240,[2_1|2]), (479,256,[2_1|2]), (479,272,[2_1|2]), (479,288,[2_1|2]), (479,304,[2_1|2]), (479,320,[2_1|2]), (479,336,[2_1|2]), (479,352,[2_1|2]), (479,368,[2_1|2]), (479,384,[2_1|2]), (479,400,[2_1|2]), (479,416,[2_1|2]), (479,432,[0_1|2]), (479,448,[0_1|2]), (479,464,[2_1|2]), (479,480,[2_1|2]), (480,481,[3_1|2]), (481,482,[0_1|2]), (482,483,[0_1|2]), (483,484,[2_1|2]), (484,485,[2_1|2]), (485,486,[2_1|2]), (486,487,[1_1|2]), (487,488,[1_1|2]), (488,489,[1_1|2]), (489,490,[3_1|2]), (490,491,[2_1|2]), (491,492,[1_1|2]), (492,493,[3_1|2]), (493,494,[1_1|2]), (494,495,[3_1|2]), (494,528,[2_1|2]), (495,63,[2_1|2]), (495,80,[2_1|2]), (495,496,[2_1|2]), (495,353,[2_1|2]), (495,481,[2_1|2]), (495,224,[2_1|2]), (495,240,[2_1|2]), (495,256,[2_1|2]), (495,272,[2_1|2]), (495,288,[2_1|2]), (495,304,[2_1|2]), (495,320,[2_1|2]), (495,336,[2_1|2]), (495,352,[2_1|2]), (495,368,[2_1|2]), (495,384,[2_1|2]), (495,400,[2_1|2]), (495,416,[2_1|2]), (495,432,[0_1|2]), (495,448,[0_1|2]), (495,464,[2_1|2]), (495,480,[2_1|2]), (496,497,[1_1|2]), (497,498,[2_1|2]), (498,499,[2_1|2]), (499,500,[0_1|2]), (500,501,[2_1|2]), (501,502,[2_1|2]), (502,503,[0_1|2]), (503,504,[2_1|2]), (504,505,[2_1|2]), (505,506,[1_1|2]), (506,507,[3_1|2]), (507,508,[0_1|2]), (508,509,[0_1|2]), (509,510,[2_1|2]), (509,416,[2_1|2]), (509,432,[0_1|2]), (509,448,[0_1|2]), (510,511,[2_1|2]), (510,304,[2_1|2]), (510,320,[2_1|2]), (510,336,[2_1|2]), (510,352,[2_1|2]), (510,368,[2_1|2]), (510,384,[2_1|2]), (511,63,[1_1|2]), (511,80,[1_1|2]), (511,496,[1_1|2]), (511,469,[1_1|2]), (511,144,[1_1|2]), (511,160,[0_1|2]), (511,176,[0_1|2]), (511,192,[1_1|2]), (511,208,[2_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,[1_1|2]), (518,519,[0_1|2]), (519,520,[1_1|2]), (520,521,[3_1|2]), (521,522,[2_1|2]), (522,523,[2_1|2]), (523,524,[0_1|2]), (524,525,[1_1|2]), (525,526,[2_1|2]), (526,527,[2_1|2]), (526,400,[2_1|2]), (526,416,[2_1|2]), (526,432,[0_1|2]), (526,448,[0_1|2]), (527,63,[2_1|2]), (527,80,[2_1|2]), (527,496,[2_1|2]), (527,353,[2_1|2]), (527,481,[2_1|2]), (527,213,[2_1|2]), (527,224,[2_1|2]), (527,240,[2_1|2]), (527,256,[2_1|2]), (527,272,[2_1|2]), (527,288,[2_1|2]), (527,304,[2_1|2]), (527,320,[2_1|2]), (527,336,[2_1|2]), (527,352,[2_1|2]), (527,368,[2_1|2]), (527,384,[2_1|2]), (527,400,[2_1|2]), (527,416,[2_1|2]), (527,432,[0_1|2]), (527,448,[0_1|2]), (527,464,[2_1|2]), (527,480,[2_1|2]), (528,529,[1_1|2]), (529,530,[1_1|2]), (530,531,[1_1|2]), (531,532,[3_1|2]), (532,533,[2_1|2]), (533,534,[2_1|2]), (534,535,[0_1|2]), (535,536,[0_1|2]), (536,537,[2_1|2]), (537,538,[3_1|2]), (538,539,[2_1|2]), (539,540,[1_1|2]), (540,541,[2_1|2]), (541,542,[2_1|2]), (542,543,[1_1|2]), (542,160,[0_1|2]), (542,176,[0_1|2]), (542,192,[1_1|2]), (542,208,[2_1|2]), (543,63,[3_1|2]), (543,80,[3_1|2]), (543,496,[3_1|2]), (543,353,[3_1|2]), (543,481,[3_1|2]), (543,512,[0_1|2]), (543,528,[2_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)