WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 41 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 149 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 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: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_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 (innermost) 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: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 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: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 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: INNERMOST ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. The certificate found is represented by the following graph. "[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, 562] {(80,81,[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]), (80,82,[0_1|1, 1_1|1, 2_1|1, 3_1|1]), (80,83,[0_1|2]), (80,99,[0_1|2]), (80,115,[0_1|2]), (80,131,[0_1|2]), (80,147,[0_1|2]), (80,163,[0_1|2]), (80,179,[1_1|2]), (80,195,[0_1|2]), (80,211,[0_1|2]), (80,227,[0_1|2]), (80,243,[0_1|2]), (80,259,[2_1|2]), (80,275,[0_1|2]), (80,291,[0_1|2]), (80,307,[3_1|2]), (80,323,[1_1|2]), (80,339,[2_1|2]), (80,355,[2_1|2]), (80,371,[0_1|2]), (80,387,[3_1|2]), (80,403,[3_1|2]), (80,419,[1_1|2]), (80,435,[0_1|2]), (80,451,[3_1|2]), (80,467,[2_1|2]), (80,483,[0_1|2]), (80,499,[2_1|2]), (80,515,[1_1|2]), (80,531,[0_1|2]), (80,547,[1_1|2]), (81,81,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_3_1|0]), (82,81,[encArg_1|1]), (82,82,[0_1|1, 1_1|1, 2_1|1, 3_1|1]), (82,83,[0_1|2]), (82,99,[0_1|2]), (82,115,[0_1|2]), (82,131,[0_1|2]), (82,147,[0_1|2]), (82,163,[0_1|2]), (82,179,[1_1|2]), (82,195,[0_1|2]), (82,211,[0_1|2]), (82,227,[0_1|2]), (82,243,[0_1|2]), (82,259,[2_1|2]), (82,275,[0_1|2]), (82,291,[0_1|2]), (82,307,[3_1|2]), (82,323,[1_1|2]), (82,339,[2_1|2]), (82,355,[2_1|2]), (82,371,[0_1|2]), (82,387,[3_1|2]), (82,403,[3_1|2]), (82,419,[1_1|2]), (82,435,[0_1|2]), (82,451,[3_1|2]), (82,467,[2_1|2]), (82,483,[0_1|2]), (82,499,[2_1|2]), (82,515,[1_1|2]), (82,531,[0_1|2]), (82,547,[1_1|2]), (83,84,[0_1|2]), (84,85,[3_1|2]), (85,86,[0_1|2]), (86,87,[0_1|2]), (87,88,[2_1|2]), (88,89,[0_1|2]), (89,90,[2_1|2]), (90,91,[2_1|2]), (91,92,[0_1|2]), (92,93,[0_1|2]), (93,94,[1_1|2]), (94,95,[0_1|2]), (95,96,[0_1|2]), (96,97,[0_1|2]), (96,99,[0_1|2]), (97,98,[1_1|2]), (97,227,[0_1|2]), (97,243,[0_1|2]), (98,82,[0_1|2]), (98,179,[0_1|2, 1_1|2]), (98,323,[0_1|2]), (98,419,[0_1|2]), (98,515,[0_1|2]), (98,547,[0_1|2]), (98,548,[0_1|2]), (98,83,[0_1|2]), (98,99,[0_1|2]), (98,115,[0_1|2]), (98,131,[0_1|2]), (98,147,[0_1|2]), (98,163,[0_1|2]), (98,195,[0_1|2]), (98,211,[0_1|2]), (99,100,[0_1|2]), (100,101,[2_1|2]), (101,102,[2_1|2]), (102,103,[3_1|2]), (103,104,[0_1|2]), (104,105,[0_1|2]), (105,106,[0_1|2]), (106,107,[0_1|2]), (107,108,[1_1|2]), (108,109,[0_1|2]), (109,110,[1_1|2]), (110,111,[0_1|2]), (111,112,[3_1|2]), (112,113,[0_1|2]), (113,114,[1_1|2]), (113,275,[0_1|2]), (113,291,[0_1|2]), (114,82,[2_1|2]), (114,179,[2_1|2]), (114,323,[2_1|2]), (114,419,[2_1|2, 1_1|2]), (114,515,[2_1|2, 1_1|2]), (114,547,[2_1|2]), (114,340,[2_1|2]), (114,435,[0_1|2]), (114,451,[3_1|2]), (114,467,[2_1|2]), (114,483,[0_1|2]), (114,499,[2_1|2]), (115,116,[2_1|2]), (116,117,[0_1|2]), (117,118,[2_1|2]), (118,119,[0_1|2]), (119,120,[1_1|2]), (120,121,[3_1|2]), (121,122,[0_1|2]), (122,123,[2_1|2]), (123,124,[0_1|2]), (124,125,[0_1|2]), (125,126,[0_1|2]), (126,127,[0_1|2]), (127,128,[1_1|2]), (128,129,[2_1|2]), (128,483,[0_1|2]), (129,130,[2_1|2]), (129,419,[1_1|2]), (129,435,[0_1|2]), (129,451,[3_1|2]), (130,82,[0_1|2]), (130,259,[0_1|2]), (130,339,[0_1|2]), (130,355,[0_1|2]), (130,467,[0_1|2]), (130,499,[0_1|2]), (130,324,[0_1|2]), (130,83,[0_1|2]), (130,99,[0_1|2]), (130,115,[0_1|2]), (130,131,[0_1|2]), (130,147,[0_1|2]), (130,163,[0_1|2]), (130,179,[1_1|2]), (130,195,[0_1|2]), (130,211,[0_1|2]), (131,132,[3_1|2]), (132,133,[1_1|2]), (133,134,[3_1|2]), (134,135,[1_1|2]), (135,136,[0_1|2]), (136,137,[0_1|2]), (137,138,[3_1|2]), (138,139,[2_1|2]), (139,140,[0_1|2]), (140,141,[3_1|2]), (141,142,[0_1|2]), (142,143,[3_1|2]), (143,144,[0_1|2]), (144,145,[0_1|2]), (144,99,[0_1|2]), (145,146,[1_1|2]), (145,227,[0_1|2]), (145,243,[0_1|2]), (146,82,[0_1|2]), (146,179,[0_1|2, 1_1|2]), (146,323,[0_1|2]), (146,419,[0_1|2]), 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(194,467,[2_1|2]), (194,483,[0_1|2]), (194,499,[2_1|2]), (194,515,[1_1|2]), (195,196,[2_1|2]), (196,197,[2_1|2]), (197,198,[0_1|2]), (198,199,[0_1|2]), (199,200,[3_1|2]), (200,201,[2_1|2]), (201,202,[2_1|2]), (202,203,[0_1|2]), (203,204,[1_1|2]), (204,205,[2_1|2]), (205,206,[2_1|2]), (206,207,[0_1|2]), (207,208,[0_1|2]), (208,209,[2_1|2]), (208,483,[0_1|2]), (209,210,[2_1|2]), (209,419,[1_1|2]), (209,435,[0_1|2]), (209,451,[3_1|2]), (210,82,[0_1|2]), (210,259,[0_1|2]), (210,339,[0_1|2]), (210,355,[0_1|2]), (210,467,[0_1|2]), (210,499,[0_1|2]), (210,388,[0_1|2]), (210,452,[0_1|2]), (210,83,[0_1|2]), (210,99,[0_1|2]), (210,115,[0_1|2]), (210,131,[0_1|2]), (210,147,[0_1|2]), (210,163,[0_1|2]), (210,179,[1_1|2]), (210,195,[0_1|2]), (210,211,[0_1|2]), (211,212,[0_1|2]), (212,213,[3_1|2]), (213,214,[0_1|2]), (214,215,[2_1|2]), (215,216,[1_1|2]), (216,217,[1_1|2]), (217,218,[0_1|2]), (218,219,[0_1|2]), (219,220,[2_1|2]), (220,221,[2_1|2]), (221,222,[0_1|2]), (222,223,[2_1|2]), (223,224,[0_1|2]), (223,163,[0_1|2]), (224,225,[2_1|2]), (225,226,[2_1|2]), (225,499,[2_1|2]), (225,515,[1_1|2]), (226,82,[3_1|2]), (226,307,[3_1|2]), (226,387,[3_1|2]), (226,403,[3_1|2]), (226,451,[3_1|2]), (226,134,[3_1|2]), (226,531,[0_1|2]), (226,547,[1_1|2]), (227,228,[0_1|2]), (228,229,[3_1|2]), (229,230,[3_1|2]), (230,231,[1_1|2]), (231,232,[0_1|2]), (232,233,[0_1|2]), (233,234,[0_1|2]), (234,235,[2_1|2]), (235,236,[0_1|2]), (236,237,[2_1|2]), (237,238,[0_1|2]), (238,239,[1_1|2]), (239,240,[0_1|2]), (240,241,[0_1|2]), (241,242,[1_1|2]), (241,275,[0_1|2]), (241,291,[0_1|2]), (242,82,[2_1|2]), (242,179,[2_1|2]), (242,323,[2_1|2]), (242,419,[2_1|2, 1_1|2]), (242,515,[2_1|2, 1_1|2]), (242,547,[2_1|2]), (242,548,[2_1|2]), (242,435,[0_1|2]), (242,451,[3_1|2]), (242,467,[2_1|2]), (242,483,[0_1|2]), (242,499,[2_1|2]), (243,244,[3_1|2]), (244,245,[2_1|2]), (245,246,[0_1|2]), (246,247,[0_1|2]), (247,248,[2_1|2]), (248,249,[0_1|2]), (249,250,[0_1|2]), (250,251,[3_1|2]), (251,252,[0_1|2]), (252,253,[0_1|2]), (253,254,[0_1|2]), (254,255,[3_1|2]), (255,256,[3_1|2]), (256,257,[3_1|2]), (257,258,[3_1|2]), (258,82,[3_1|2]), (258,259,[3_1|2]), (258,339,[3_1|2]), (258,355,[3_1|2]), (258,467,[3_1|2]), (258,499,[3_1|2]), (258,356,[3_1|2]), (258,468,[3_1|2]), (258,500,[3_1|2]), (258,531,[0_1|2]), (258,547,[1_1|2]), (259,260,[0_1|2]), (260,261,[0_1|2]), (261,262,[0_1|2]), (262,263,[0_1|2]), (263,264,[1_1|2]), (264,265,[2_1|2]), (265,266,[3_1|2]), (266,267,[0_1|2]), (267,268,[1_1|2]), (268,269,[0_1|2]), (269,270,[0_1|2]), (270,271,[3_1|2]), (271,272,[2_1|2]), (272,273,[0_1|2]), (272,83,[0_1|2]), (273,274,[0_1|2]), (273,99,[0_1|2]), (273,115,[0_1|2]), (273,131,[0_1|2]), (274,82,[1_1|2]), (274,259,[1_1|2, 2_1|2]), (274,339,[1_1|2, 2_1|2]), (274,355,[1_1|2, 2_1|2]), (274,467,[1_1|2]), (274,499,[1_1|2]), (274,388,[1_1|2]), (274,452,[1_1|2]), (274,227,[0_1|2]), (274,243,[0_1|2]), (274,275,[0_1|2]), (274,291,[0_1|2]), (274,307,[3_1|2]), (274,323,[1_1|2]), (274,371,[0_1|2]), (274,387,[3_1|2]), (274,403,[3_1|2]), (275,276,[0_1|2]), (276,277,[3_1|2]), (277,278,[0_1|2]), (278,279,[0_1|2]), (279,280,[1_1|2]), (280,281,[2_1|2]), (281,282,[2_1|2]), (282,283,[0_1|2]), (283,284,[3_1|2]), (284,285,[2_1|2]), (285,286,[0_1|2]), (286,287,[2_1|2]), (287,288,[0_1|2]), (287,99,[0_1|2]), (288,289,[1_1|2]), (288,243,[0_1|2]), (289,290,[0_1|2]), (290,82,[3_1|2]), (290,179,[3_1|2]), (290,323,[3_1|2]), (290,419,[3_1|2]), (290,515,[3_1|2]), (290,547,[3_1|2, 1_1|2]), (290,470,[3_1|2]), (290,531,[0_1|2]), (291,292,[3_1|2]), (292,293,[0_1|2]), (293,294,[1_1|2]), (294,295,[0_1|2]), (295,296,[1_1|2]), (296,297,[2_1|2]), (297,298,[0_1|2]), (298,299,[3_1|2]), (299,300,[0_1|2]), (300,301,[0_1|2]), (301,302,[0_1|2]), (302,303,[1_1|2]), (303,304,[0_1|2]), (304,305,[1_1|2]), (304,307,[3_1|2]), (305,306,[3_1|2]), (305,531,[0_1|2]), (306,82,[0_1|2]), (306,83,[0_1|2]), (306,99,[0_1|2]), (306,115,[0_1|2]), (306,131,[0_1|2]), (306,147,[0_1|2]), (306,163,[0_1|2]), (306,195,[0_1|2]), 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(372,373,[1_1|2]), (373,374,[0_1|2]), (374,375,[0_1|2]), (375,376,[0_1|2]), (376,377,[3_1|2]), (377,378,[0_1|2]), (378,379,[0_1|2]), (379,380,[2_1|2]), (380,381,[3_1|2]), (381,382,[2_1|2]), (382,383,[1_1|2]), (383,384,[0_1|2]), (384,385,[1_1|2]), (384,227,[0_1|2]), (385,386,[0_1|2]), (385,83,[0_1|2]), (386,82,[0_1|2]), (386,83,[0_1|2]), (386,99,[0_1|2]), (386,115,[0_1|2]), (386,131,[0_1|2]), (386,147,[0_1|2]), (386,163,[0_1|2]), (386,195,[0_1|2]), (386,211,[0_1|2]), (386,227,[0_1|2]), (386,243,[0_1|2]), (386,275,[0_1|2]), (386,291,[0_1|2]), (386,371,[0_1|2]), (386,435,[0_1|2]), (386,483,[0_1|2]), (386,531,[0_1|2]), (386,84,[0_1|2]), (386,100,[0_1|2]), (386,148,[0_1|2]), (386,212,[0_1|2]), (386,228,[0_1|2]), (386,276,[0_1|2]), (386,532,[0_1|2]), (386,309,[0_1|2]), (386,179,[1_1|2]), (387,388,[2_1|2]), (388,389,[0_1|2]), (389,390,[3_1|2]), (390,391,[0_1|2]), (391,392,[3_1|2]), (392,393,[0_1|2]), (393,394,[0_1|2]), (394,395,[2_1|2]), (395,396,[0_1|2]), (396,397,[0_1|2]), (397,398,[0_1|2]), (398,399,[1_1|2]), (399,400,[0_1|2]), (399,195,[0_1|2]), (400,401,[2_1|2]), (401,402,[3_1|2]), (402,82,[1_1|2]), (402,179,[1_1|2]), (402,323,[1_1|2]), (402,419,[1_1|2]), (402,515,[1_1|2]), (402,547,[1_1|2]), (402,548,[1_1|2]), (402,227,[0_1|2]), (402,243,[0_1|2]), (402,259,[2_1|2]), (402,275,[0_1|2]), (402,291,[0_1|2]), (402,307,[3_1|2]), (402,339,[2_1|2]), (402,355,[2_1|2]), (402,371,[0_1|2]), (402,387,[3_1|2]), (402,403,[3_1|2]), (403,404,[0_1|2]), (404,405,[3_1|2]), (405,406,[2_1|2]), (406,407,[2_1|2]), (407,408,[0_1|2]), (408,409,[2_1|2]), (409,410,[2_1|2]), (410,411,[1_1|2]), (411,412,[0_1|2]), (412,413,[2_1|2]), (413,414,[2_1|2]), (414,415,[3_1|2]), (415,416,[1_1|2]), (416,417,[2_1|2]), (417,418,[0_1|2]), (417,83,[0_1|2]), (418,82,[0_1|2]), (418,83,[0_1|2]), (418,99,[0_1|2]), (418,115,[0_1|2]), (418,131,[0_1|2]), (418,147,[0_1|2]), (418,163,[0_1|2]), (418,195,[0_1|2]), (418,211,[0_1|2]), (418,227,[0_1|2]), (418,243,[0_1|2]), (418,275,[0_1|2]), (418,291,[0_1|2]), (418,371,[0_1|2]), (418,435,[0_1|2]), (418,483,[0_1|2]), (418,531,[0_1|2]), (418,308,[0_1|2]), (418,404,[0_1|2]), (418,179,[1_1|2]), (419,420,[0_1|2]), (420,421,[0_1|2]), (421,422,[0_1|2]), (422,423,[0_1|2]), (423,424,[1_1|2]), (424,425,[0_1|2]), (425,426,[0_1|2]), (426,427,[2_1|2]), (427,428,[0_1|2]), (428,429,[3_1|2]), (429,430,[1_1|2]), (430,431,[0_1|2]), (431,432,[0_1|2]), (431,179,[1_1|2]), (432,433,[2_1|2]), (432,499,[2_1|2]), (432,515,[1_1|2]), (433,434,[3_1|2]), (433,531,[0_1|2]), (434,82,[0_1|2]), (434,83,[0_1|2]), (434,99,[0_1|2]), (434,115,[0_1|2]), (434,131,[0_1|2]), (434,147,[0_1|2]), (434,163,[0_1|2]), (434,195,[0_1|2]), (434,211,[0_1|2]), (434,227,[0_1|2]), (434,243,[0_1|2]), (434,275,[0_1|2]), (434,291,[0_1|2]), (434,371,[0_1|2]), (434,435,[0_1|2]), (434,483,[0_1|2]), (434,531,[0_1|2]), (434,180,[0_1|2]), (434,420,[0_1|2]), (434,516,[0_1|2]), (434,341,[0_1|2]), (434,179,[1_1|2]), (435,436,[2_1|2]), (436,437,[3_1|2]), (437,438,[1_1|2]), (438,439,[3_1|2]), (439,440,[1_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,[0_1|2]), (446,447,[1_1|2]), (447,448,[2_1|2]), (448,449,[2_1|2]), (449,450,[1_1|2]), (449,227,[0_1|2]), (449,243,[0_1|2]), (450,82,[0_1|2]), (450,259,[0_1|2]), (450,339,[0_1|2]), (450,355,[0_1|2]), (450,467,[0_1|2]), (450,499,[0_1|2]), (450,324,[0_1|2]), (450,83,[0_1|2]), (450,99,[0_1|2]), (450,115,[0_1|2]), (450,131,[0_1|2]), (450,147,[0_1|2]), (450,163,[0_1|2]), (450,179,[1_1|2]), (450,195,[0_1|2]), (450,211,[0_1|2]), (451,452,[2_1|2]), (452,453,[0_1|2]), (453,454,[1_1|2]), (454,455,[0_1|2]), (455,456,[0_1|2]), (456,457,[2_1|2]), (457,458,[0_1|2]), (458,459,[3_1|2]), (459,460,[1_1|2]), (460,461,[0_1|2]), (461,462,[0_1|2]), (462,463,[0_1|2]), (463,464,[2_1|2]), (464,465,[1_1|2]), (465,466,[0_1|2]), (465,147,[0_1|2]), (465,163,[0_1|2]), (465,179,[1_1|2]), (465,195,[0_1|2]), (465,211,[0_1|2]), (466,82,[2_1|2]), (466,179,[2_1|2]), (466,323,[2_1|2]), (466,419,[2_1|2, 1_1|2]), (466,515,[2_1|2, 1_1|2]), (466,547,[2_1|2]), (466,435,[0_1|2]), (466,451,[3_1|2]), (466,467,[2_1|2]), (466,483,[0_1|2]), (466,499,[2_1|2]), (467,468,[2_1|2]), (468,469,[0_1|2]), (469,470,[1_1|2]), (470,471,[0_1|2]), (471,472,[0_1|2]), (472,473,[0_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]), (479,480,[2_1|2]), (480,481,[1_1|2]), (480,387,[3_1|2]), (480,403,[3_1|2]), (481,482,[3_1|2]), (482,82,[3_1|2]), (482,307,[3_1|2]), (482,387,[3_1|2]), (482,403,[3_1|2]), (482,451,[3_1|2]), (482,134,[3_1|2]), (482,531,[0_1|2]), (482,547,[1_1|2]), (483,484,[3_1|2]), (484,485,[0_1|2]), (485,486,[1_1|2]), (486,487,[2_1|2]), (487,488,[0_1|2]), (488,489,[1_1|2]), (489,490,[2_1|2]), (490,491,[0_1|2]), (491,492,[2_1|2]), (492,493,[2_1|2]), (493,494,[1_1|2]), (494,495,[2_1|2]), (495,496,[1_1|2]), (496,497,[0_1|2]), (497,498,[0_1|2]), (497,83,[0_1|2]), (498,82,[0_1|2]), (498,307,[0_1|2]), (498,387,[0_1|2]), (498,403,[0_1|2]), (498,451,[0_1|2]), (498,83,[0_1|2]), (498,99,[0_1|2]), (498,115,[0_1|2]), (498,131,[0_1|2]), (498,147,[0_1|2]), (498,163,[0_1|2]), (498,179,[1_1|2]), (498,195,[0_1|2]), (498,211,[0_1|2]), (499,500,[2_1|2]), (500,501,[0_1|2]), (501,502,[0_1|2]), (502,503,[0_1|2]), (503,504,[1_1|2]), (504,505,[2_1|2]), (505,506,[0_1|2]), (506,507,[0_1|2]), (507,508,[0_1|2]), (508,509,[3_1|2]), (509,510,[0_1|2]), (510,511,[2_1|2]), (511,512,[0_1|2]), (512,513,[3_1|2]), (513,514,[2_1|2]), (513,419,[1_1|2]), (513,435,[0_1|2]), (513,451,[3_1|2]), (514,82,[0_1|2]), (514,307,[0_1|2]), (514,387,[0_1|2]), (514,403,[0_1|2]), (514,451,[0_1|2]), (514,132,[0_1|2]), (514,164,[0_1|2]), (514,244,[0_1|2]), (514,292,[0_1|2]), (514,372,[0_1|2]), (514,484,[0_1|2]), (514,405,[0_1|2]), (514,392,[0_1|2]), (514,83,[0_1|2]), (514,99,[0_1|2]), (514,115,[0_1|2]), (514,131,[0_1|2]), (514,147,[0_1|2]), (514,163,[0_1|2]), (514,179,[1_1|2]), (514,195,[0_1|2]), (514,211,[0_1|2]), (515,516,[0_1|2]), (516,517,[0_1|2]), (517,518,[3_1|2]), (518,519,[2_1|2]), (519,520,[0_1|2]), (520,521,[3_1|2]), (521,522,[3_1|2]), (522,523,[0_1|2]), (523,524,[0_1|2]), (524,525,[3_1|2]), (525,526,[0_1|2]), (526,527,[0_1|2]), (527,528,[2_1|2]), (528,529,[0_1|2]), (529,530,[0_1|2]), (529,147,[0_1|2]), (529,163,[0_1|2]), (529,179,[1_1|2]), (529,195,[0_1|2]), (529,211,[0_1|2]), (530,82,[2_1|2]), (530,307,[2_1|2]), (530,387,[2_1|2]), (530,403,[2_1|2]), (530,451,[2_1|2, 3_1|2]), (530,419,[1_1|2]), (530,435,[0_1|2]), (530,467,[2_1|2]), (530,483,[0_1|2]), (530,499,[2_1|2]), (530,515,[1_1|2]), (531,532,[0_1|2]), (532,533,[1_1|2]), (533,534,[0_1|2]), (534,535,[1_1|2]), (535,536,[2_1|2]), (536,537,[0_1|2]), (537,538,[0_1|2]), (538,539,[3_1|2]), (539,540,[0_1|2]), (540,541,[2_1|2]), (541,542,[2_1|2]), (542,543,[2_1|2]), (543,544,[0_1|2]), (544,545,[0_1|2]), (544,131,[0_1|2]), (545,546,[1_1|2]), (545,307,[3_1|2]), (545,323,[1_1|2]), (545,339,[2_1|2]), (545,355,[2_1|2]), (545,371,[0_1|2]), (545,387,[3_1|2]), (545,403,[3_1|2]), (546,82,[3_1|2]), (546,307,[3_1|2]), (546,387,[3_1|2]), (546,403,[3_1|2]), (546,451,[3_1|2]), (546,531,[0_1|2]), (546,547,[1_1|2]), (547,548,[1_1|2]), (548,549,[0_1|2]), (549,550,[1_1|2]), (550,551,[0_1|2]), (551,552,[0_1|2]), (552,553,[3_1|2]), (553,554,[0_1|2]), (554,555,[1_1|2]), (555,556,[2_1|2]), (556,557,[1_1|2]), (557,558,[1_1|2]), (558,559,[0_1|2]), (559,560,[0_1|2]), (560,561,[1_1|2]), (560,227,[0_1|2]), (561,562,[0_1|2]), (561,83,[0_1|2]), (562,82,[0_1|2]), (562,83,[0_1|2]), (562,99,[0_1|2]), (562,115,[0_1|2]), (562,131,[0_1|2]), (562,147,[0_1|2]), (562,163,[0_1|2]), (562,195,[0_1|2]), (562,211,[0_1|2]), (562,227,[0_1|2]), (562,243,[0_1|2]), (562,275,[0_1|2]), (562,291,[0_1|2]), (562,371,[0_1|2]), (562,435,[0_1|2]), (562,483,[0_1|2]), (562,531,[0_1|2]), (562,308,[0_1|2]), (562,404,[0_1|2]), (562,179,[1_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)