/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 93 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 252 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: 1(5(1(x1))) -> 1(3(0(0(4(1(3(0(3(4(x1)))))))))) 3(1(5(x1))) -> 3(1(1(3(0(5(2(0(5(2(x1)))))))))) 5(5(1(x1))) -> 5(2(3(3(1(5(2(3(0(4(x1)))))))))) 5(5(5(x1))) -> 5(2(1(3(1(1(1(3(2(2(x1)))))))))) 1(0(3(4(x1)))) -> 1(1(0(2(0(1(1(3(4(1(x1)))))))))) 2(1(5(3(x1)))) -> 2(1(3(1(4(3(2(3(0(0(x1)))))))))) 3(0(5(5(x1)))) -> 3(3(5(0(5(2(3(3(0(2(x1)))))))))) 4(0(1(0(x1)))) -> 0(2(3(4(1(2(3(2(3(3(x1)))))))))) 4(0(5(5(x1)))) -> 0(4(3(2(2(2(3(1(2(3(x1)))))))))) 4(2(1(2(x1)))) -> 2(0(2(0(2(1(0(2(3(3(x1)))))))))) 4(5(5(4(x1)))) -> 4(4(4(4(0(1(3(2(1(3(x1)))))))))) 5(5(4(0(x1)))) -> 5(2(4(3(2(3(5(2(4(0(x1)))))))))) 0(3(5(5(4(x1))))) -> 0(0(4(2(2(3(1(4(3(4(x1)))))))))) 1(0(1(2(1(x1))))) -> 1(1(5(4(2(5(2(2(3(0(x1)))))))))) 1(0(5(5(5(x1))))) -> 1(1(5(0(3(2(3(4(1(5(x1)))))))))) 2(4(2(5(4(x1))))) -> 2(0(4(2(5(2(2(3(3(1(x1)))))))))) 3(5(1(0(5(x1))))) -> 3(4(3(3(5(2(2(3(5(2(x1)))))))))) 4(4(5(5(1(x1))))) -> 0(2(2(3(3(4(4(3(5(1(x1)))))))))) 4(5(5(1(2(x1))))) -> 0(2(5(3(4(2(3(2(2(3(x1)))))))))) 5(5(1(5(5(x1))))) -> 5(0(3(1(1(0(0(4(3(2(x1)))))))))) 5(5(3(2(1(x1))))) -> 5(2(2(4(2(5(2(3(0(1(x1)))))))))) 0(0(5(1(4(5(x1)))))) -> 0(3(4(3(4(0(0(3(0(2(x1)))))))))) 0(4(0(5(1(2(x1)))))) -> 4(2(4(1(2(0(2(3(3(2(x1)))))))))) 0(4(0(5(4(0(x1)))))) -> 4(3(5(0(4(3(4(4(1(3(x1)))))))))) 0(4(4(0(1(5(x1)))))) -> 0(4(1(0(1(4(3(1(0(2(x1)))))))))) 0(4(4(5(5(1(x1)))))) -> 2(3(5(0(2(4(4(4(1(4(x1)))))))))) 2(5(1(5(2(1(x1)))))) -> 4(2(2(3(1(3(5(0(4(1(x1)))))))))) 2(5(2(1(5(5(x1)))))) -> 2(3(3(2(5(1(3(3(3(3(x1)))))))))) 2(5(5(3(1(5(x1)))))) -> 2(2(5(1(4(4(3(2(2(5(x1)))))))))) 3(1(2(1(4(0(x1)))))) -> 3(3(5(1(1(2(0(2(3(0(x1)))))))))) 3(5(1(0(4(0(x1)))))) -> 3(3(3(3(5(5(2(3(2(0(x1)))))))))) 3(5(3(4(5(4(x1)))))) -> 3(5(3(0(1(0(1(4(3(4(x1)))))))))) 5(4(4(2(5(1(x1)))))) -> 5(0(2(0(0(2(2(3(1(4(x1)))))))))) 5(5(1(5(4(0(x1)))))) -> 5(5(0(2(4(5(3(0(2(0(x1)))))))))) 5(5(5(5(5(4(x1)))))) -> 5(3(3(3(5(4(0(1(4(1(x1)))))))))) 0(3(4(4(5(4(5(x1))))))) -> 0(4(3(4(3(2(3(4(1(0(x1)))))))))) 0(4(0(5(4(5(4(x1))))))) -> 2(5(4(3(4(4(3(0(0(4(x1)))))))))) 0(4(0(5(5(1(0(x1))))))) -> 5(4(2(3(0(4(3(5(0(0(x1)))))))))) 0(4(1(0(5(2(5(x1))))))) -> 2(3(3(0(0(5(1(3(2(5(x1)))))))))) 0(5(3(5(3(5(1(x1))))))) -> 0(1(4(1(3(1(2(5(1(1(x1)))))))))) 0(5(5(1(0(3(1(x1))))))) -> 2(3(0(3(4(4(0(3(3(1(x1)))))))))) 1(1(0(1(5(1(5(x1))))))) -> 1(1(1(1(4(5(0(2(1(5(x1)))))))))) 1(2(1(5(3(4(5(x1))))))) -> 1(5(0(3(5(3(3(0(0(3(x1)))))))))) 1(5(0(5(3(0(5(x1))))))) -> 1(4(3(1(4(1(3(5(3(5(x1)))))))))) 2(3(5(5(5(2(5(x1))))))) -> 2(3(2(5(0(0(0(2(4(0(x1)))))))))) 3(0(0(5(1(4(5(x1))))))) -> 3(0(0(3(0(3(1(0(4(5(x1)))))))))) 3(0(5(4(4(2(1(x1))))))) -> 3(5(4(3(3(4(1(3(2(4(x1)))))))))) 3(1(4(0(0(4(2(x1))))))) -> 3(3(0(2(1(4(5(3(2(2(x1)))))))))) 3(1(5(5(1(0(4(x1))))))) -> 3(3(1(2(3(1(0(3(3(4(x1)))))))))) 3(4(5(5(5(5(5(x1))))))) -> 3(1(1(5(2(2(4(5(3(5(x1)))))))))) 3(5(4(5(2(5(3(x1))))))) -> 3(2(3(4(2(3(5(0(1(0(x1)))))))))) 4(0(5(5(3(4(5(x1))))))) -> 4(0(2(3(4(1(0(0(5(5(x1)))))))))) 4(5(4(0(1(0(5(x1))))))) -> 1(4(4(5(1(2(3(4(3(3(x1)))))))))) 5(1(0(5(4(4(5(x1))))))) -> 5(4(3(5(5(3(3(1(4(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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: 1(5(1(x1))) -> 1(3(0(0(4(1(3(0(3(4(x1)))))))))) 3(1(5(x1))) -> 3(1(1(3(0(5(2(0(5(2(x1)))))))))) 5(5(1(x1))) -> 5(2(3(3(1(5(2(3(0(4(x1)))))))))) 5(5(5(x1))) -> 5(2(1(3(1(1(1(3(2(2(x1)))))))))) 1(0(3(4(x1)))) -> 1(1(0(2(0(1(1(3(4(1(x1)))))))))) 2(1(5(3(x1)))) -> 2(1(3(1(4(3(2(3(0(0(x1)))))))))) 3(0(5(5(x1)))) -> 3(3(5(0(5(2(3(3(0(2(x1)))))))))) 4(0(1(0(x1)))) -> 0(2(3(4(1(2(3(2(3(3(x1)))))))))) 4(0(5(5(x1)))) -> 0(4(3(2(2(2(3(1(2(3(x1)))))))))) 4(2(1(2(x1)))) -> 2(0(2(0(2(1(0(2(3(3(x1)))))))))) 4(5(5(4(x1)))) -> 4(4(4(4(0(1(3(2(1(3(x1)))))))))) 5(5(4(0(x1)))) -> 5(2(4(3(2(3(5(2(4(0(x1)))))))))) 0(3(5(5(4(x1))))) -> 0(0(4(2(2(3(1(4(3(4(x1)))))))))) 1(0(1(2(1(x1))))) -> 1(1(5(4(2(5(2(2(3(0(x1)))))))))) 1(0(5(5(5(x1))))) -> 1(1(5(0(3(2(3(4(1(5(x1)))))))))) 2(4(2(5(4(x1))))) -> 2(0(4(2(5(2(2(3(3(1(x1)))))))))) 3(5(1(0(5(x1))))) -> 3(4(3(3(5(2(2(3(5(2(x1)))))))))) 4(4(5(5(1(x1))))) -> 0(2(2(3(3(4(4(3(5(1(x1)))))))))) 4(5(5(1(2(x1))))) -> 0(2(5(3(4(2(3(2(2(3(x1)))))))))) 5(5(1(5(5(x1))))) -> 5(0(3(1(1(0(0(4(3(2(x1)))))))))) 5(5(3(2(1(x1))))) -> 5(2(2(4(2(5(2(3(0(1(x1)))))))))) 0(0(5(1(4(5(x1)))))) -> 0(3(4(3(4(0(0(3(0(2(x1)))))))))) 0(4(0(5(1(2(x1)))))) -> 4(2(4(1(2(0(2(3(3(2(x1)))))))))) 0(4(0(5(4(0(x1)))))) -> 4(3(5(0(4(3(4(4(1(3(x1)))))))))) 0(4(4(0(1(5(x1)))))) -> 0(4(1(0(1(4(3(1(0(2(x1)))))))))) 0(4(4(5(5(1(x1)))))) -> 2(3(5(0(2(4(4(4(1(4(x1)))))))))) 2(5(1(5(2(1(x1)))))) -> 4(2(2(3(1(3(5(0(4(1(x1)))))))))) 2(5(2(1(5(5(x1)))))) -> 2(3(3(2(5(1(3(3(3(3(x1)))))))))) 2(5(5(3(1(5(x1)))))) -> 2(2(5(1(4(4(3(2(2(5(x1)))))))))) 3(1(2(1(4(0(x1)))))) -> 3(3(5(1(1(2(0(2(3(0(x1)))))))))) 3(5(1(0(4(0(x1)))))) -> 3(3(3(3(5(5(2(3(2(0(x1)))))))))) 3(5(3(4(5(4(x1)))))) -> 3(5(3(0(1(0(1(4(3(4(x1)))))))))) 5(4(4(2(5(1(x1)))))) -> 5(0(2(0(0(2(2(3(1(4(x1)))))))))) 5(5(1(5(4(0(x1)))))) -> 5(5(0(2(4(5(3(0(2(0(x1)))))))))) 5(5(5(5(5(4(x1)))))) -> 5(3(3(3(5(4(0(1(4(1(x1)))))))))) 0(3(4(4(5(4(5(x1))))))) -> 0(4(3(4(3(2(3(4(1(0(x1)))))))))) 0(4(0(5(4(5(4(x1))))))) -> 2(5(4(3(4(4(3(0(0(4(x1)))))))))) 0(4(0(5(5(1(0(x1))))))) -> 5(4(2(3(0(4(3(5(0(0(x1)))))))))) 0(4(1(0(5(2(5(x1))))))) -> 2(3(3(0(0(5(1(3(2(5(x1)))))))))) 0(5(3(5(3(5(1(x1))))))) -> 0(1(4(1(3(1(2(5(1(1(x1)))))))))) 0(5(5(1(0(3(1(x1))))))) -> 2(3(0(3(4(4(0(3(3(1(x1)))))))))) 1(1(0(1(5(1(5(x1))))))) -> 1(1(1(1(4(5(0(2(1(5(x1)))))))))) 1(2(1(5(3(4(5(x1))))))) -> 1(5(0(3(5(3(3(0(0(3(x1)))))))))) 1(5(0(5(3(0(5(x1))))))) -> 1(4(3(1(4(1(3(5(3(5(x1)))))))))) 2(3(5(5(5(2(5(x1))))))) -> 2(3(2(5(0(0(0(2(4(0(x1)))))))))) 3(0(0(5(1(4(5(x1))))))) -> 3(0(0(3(0(3(1(0(4(5(x1)))))))))) 3(0(5(4(4(2(1(x1))))))) -> 3(5(4(3(3(4(1(3(2(4(x1)))))))))) 3(1(4(0(0(4(2(x1))))))) -> 3(3(0(2(1(4(5(3(2(2(x1)))))))))) 3(1(5(5(1(0(4(x1))))))) -> 3(3(1(2(3(1(0(3(3(4(x1)))))))))) 3(4(5(5(5(5(5(x1))))))) -> 3(1(1(5(2(2(4(5(3(5(x1)))))))))) 3(5(4(5(2(5(3(x1))))))) -> 3(2(3(4(2(3(5(0(1(0(x1)))))))))) 4(0(5(5(3(4(5(x1))))))) -> 4(0(2(3(4(1(0(0(5(5(x1)))))))))) 4(5(4(0(1(0(5(x1))))))) -> 1(4(4(5(1(2(3(4(3(3(x1)))))))))) 5(1(0(5(4(4(5(x1))))))) -> 5(4(3(5(5(3(3(1(4(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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: 1(5(1(x1))) -> 1(3(0(0(4(1(3(0(3(4(x1)))))))))) 3(1(5(x1))) -> 3(1(1(3(0(5(2(0(5(2(x1)))))))))) 5(5(1(x1))) -> 5(2(3(3(1(5(2(3(0(4(x1)))))))))) 5(5(5(x1))) -> 5(2(1(3(1(1(1(3(2(2(x1)))))))))) 1(0(3(4(x1)))) -> 1(1(0(2(0(1(1(3(4(1(x1)))))))))) 2(1(5(3(x1)))) -> 2(1(3(1(4(3(2(3(0(0(x1)))))))))) 3(0(5(5(x1)))) -> 3(3(5(0(5(2(3(3(0(2(x1)))))))))) 4(0(1(0(x1)))) -> 0(2(3(4(1(2(3(2(3(3(x1)))))))))) 4(0(5(5(x1)))) -> 0(4(3(2(2(2(3(1(2(3(x1)))))))))) 4(2(1(2(x1)))) -> 2(0(2(0(2(1(0(2(3(3(x1)))))))))) 4(5(5(4(x1)))) -> 4(4(4(4(0(1(3(2(1(3(x1)))))))))) 5(5(4(0(x1)))) -> 5(2(4(3(2(3(5(2(4(0(x1)))))))))) 0(3(5(5(4(x1))))) -> 0(0(4(2(2(3(1(4(3(4(x1)))))))))) 1(0(1(2(1(x1))))) -> 1(1(5(4(2(5(2(2(3(0(x1)))))))))) 1(0(5(5(5(x1))))) -> 1(1(5(0(3(2(3(4(1(5(x1)))))))))) 2(4(2(5(4(x1))))) -> 2(0(4(2(5(2(2(3(3(1(x1)))))))))) 3(5(1(0(5(x1))))) -> 3(4(3(3(5(2(2(3(5(2(x1)))))))))) 4(4(5(5(1(x1))))) -> 0(2(2(3(3(4(4(3(5(1(x1)))))))))) 4(5(5(1(2(x1))))) -> 0(2(5(3(4(2(3(2(2(3(x1)))))))))) 5(5(1(5(5(x1))))) -> 5(0(3(1(1(0(0(4(3(2(x1)))))))))) 5(5(3(2(1(x1))))) -> 5(2(2(4(2(5(2(3(0(1(x1)))))))))) 0(0(5(1(4(5(x1)))))) -> 0(3(4(3(4(0(0(3(0(2(x1)))))))))) 0(4(0(5(1(2(x1)))))) -> 4(2(4(1(2(0(2(3(3(2(x1)))))))))) 0(4(0(5(4(0(x1)))))) -> 4(3(5(0(4(3(4(4(1(3(x1)))))))))) 0(4(4(0(1(5(x1)))))) -> 0(4(1(0(1(4(3(1(0(2(x1)))))))))) 0(4(4(5(5(1(x1)))))) -> 2(3(5(0(2(4(4(4(1(4(x1)))))))))) 2(5(1(5(2(1(x1)))))) -> 4(2(2(3(1(3(5(0(4(1(x1)))))))))) 2(5(2(1(5(5(x1)))))) -> 2(3(3(2(5(1(3(3(3(3(x1)))))))))) 2(5(5(3(1(5(x1)))))) -> 2(2(5(1(4(4(3(2(2(5(x1)))))))))) 3(1(2(1(4(0(x1)))))) -> 3(3(5(1(1(2(0(2(3(0(x1)))))))))) 3(5(1(0(4(0(x1)))))) -> 3(3(3(3(5(5(2(3(2(0(x1)))))))))) 3(5(3(4(5(4(x1)))))) -> 3(5(3(0(1(0(1(4(3(4(x1)))))))))) 5(4(4(2(5(1(x1)))))) -> 5(0(2(0(0(2(2(3(1(4(x1)))))))))) 5(5(1(5(4(0(x1)))))) -> 5(5(0(2(4(5(3(0(2(0(x1)))))))))) 5(5(5(5(5(4(x1)))))) -> 5(3(3(3(5(4(0(1(4(1(x1)))))))))) 0(3(4(4(5(4(5(x1))))))) -> 0(4(3(4(3(2(3(4(1(0(x1)))))))))) 0(4(0(5(4(5(4(x1))))))) -> 2(5(4(3(4(4(3(0(0(4(x1)))))))))) 0(4(0(5(5(1(0(x1))))))) -> 5(4(2(3(0(4(3(5(0(0(x1)))))))))) 0(4(1(0(5(2(5(x1))))))) -> 2(3(3(0(0(5(1(3(2(5(x1)))))))))) 0(5(3(5(3(5(1(x1))))))) -> 0(1(4(1(3(1(2(5(1(1(x1)))))))))) 0(5(5(1(0(3(1(x1))))))) -> 2(3(0(3(4(4(0(3(3(1(x1)))))))))) 1(1(0(1(5(1(5(x1))))))) -> 1(1(1(1(4(5(0(2(1(5(x1)))))))))) 1(2(1(5(3(4(5(x1))))))) -> 1(5(0(3(5(3(3(0(0(3(x1)))))))))) 1(5(0(5(3(0(5(x1))))))) -> 1(4(3(1(4(1(3(5(3(5(x1)))))))))) 2(3(5(5(5(2(5(x1))))))) -> 2(3(2(5(0(0(0(2(4(0(x1)))))))))) 3(0(0(5(1(4(5(x1))))))) -> 3(0(0(3(0(3(1(0(4(5(x1)))))))))) 3(0(5(4(4(2(1(x1))))))) -> 3(5(4(3(3(4(1(3(2(4(x1)))))))))) 3(1(4(0(0(4(2(x1))))))) -> 3(3(0(2(1(4(5(3(2(2(x1)))))))))) 3(1(5(5(1(0(4(x1))))))) -> 3(3(1(2(3(1(0(3(3(4(x1)))))))))) 3(4(5(5(5(5(5(x1))))))) -> 3(1(1(5(2(2(4(5(3(5(x1)))))))))) 3(5(4(5(2(5(3(x1))))))) -> 3(2(3(4(2(3(5(0(1(0(x1)))))))))) 4(0(5(5(3(4(5(x1))))))) -> 4(0(2(3(4(1(0(0(5(5(x1)))))))))) 4(5(4(0(1(0(5(x1))))))) -> 1(4(4(5(1(2(3(4(3(3(x1)))))))))) 5(1(0(5(4(4(5(x1))))))) -> 5(4(3(5(5(3(3(1(4(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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: 1(5(1(x1))) -> 1(3(0(0(4(1(3(0(3(4(x1)))))))))) 3(1(5(x1))) -> 3(1(1(3(0(5(2(0(5(2(x1)))))))))) 5(5(1(x1))) -> 5(2(3(3(1(5(2(3(0(4(x1)))))))))) 5(5(5(x1))) -> 5(2(1(3(1(1(1(3(2(2(x1)))))))))) 1(0(3(4(x1)))) -> 1(1(0(2(0(1(1(3(4(1(x1)))))))))) 2(1(5(3(x1)))) -> 2(1(3(1(4(3(2(3(0(0(x1)))))))))) 3(0(5(5(x1)))) -> 3(3(5(0(5(2(3(3(0(2(x1)))))))))) 4(0(1(0(x1)))) -> 0(2(3(4(1(2(3(2(3(3(x1)))))))))) 4(0(5(5(x1)))) -> 0(4(3(2(2(2(3(1(2(3(x1)))))))))) 4(2(1(2(x1)))) -> 2(0(2(0(2(1(0(2(3(3(x1)))))))))) 4(5(5(4(x1)))) -> 4(4(4(4(0(1(3(2(1(3(x1)))))))))) 5(5(4(0(x1)))) -> 5(2(4(3(2(3(5(2(4(0(x1)))))))))) 0(3(5(5(4(x1))))) -> 0(0(4(2(2(3(1(4(3(4(x1)))))))))) 1(0(1(2(1(x1))))) -> 1(1(5(4(2(5(2(2(3(0(x1)))))))))) 1(0(5(5(5(x1))))) -> 1(1(5(0(3(2(3(4(1(5(x1)))))))))) 2(4(2(5(4(x1))))) -> 2(0(4(2(5(2(2(3(3(1(x1)))))))))) 3(5(1(0(5(x1))))) -> 3(4(3(3(5(2(2(3(5(2(x1)))))))))) 4(4(5(5(1(x1))))) -> 0(2(2(3(3(4(4(3(5(1(x1)))))))))) 4(5(5(1(2(x1))))) -> 0(2(5(3(4(2(3(2(2(3(x1)))))))))) 5(5(1(5(5(x1))))) -> 5(0(3(1(1(0(0(4(3(2(x1)))))))))) 5(5(3(2(1(x1))))) -> 5(2(2(4(2(5(2(3(0(1(x1)))))))))) 0(0(5(1(4(5(x1)))))) -> 0(3(4(3(4(0(0(3(0(2(x1)))))))))) 0(4(0(5(1(2(x1)))))) -> 4(2(4(1(2(0(2(3(3(2(x1)))))))))) 0(4(0(5(4(0(x1)))))) -> 4(3(5(0(4(3(4(4(1(3(x1)))))))))) 0(4(4(0(1(5(x1)))))) -> 0(4(1(0(1(4(3(1(0(2(x1)))))))))) 0(4(4(5(5(1(x1)))))) -> 2(3(5(0(2(4(4(4(1(4(x1)))))))))) 2(5(1(5(2(1(x1)))))) -> 4(2(2(3(1(3(5(0(4(1(x1)))))))))) 2(5(2(1(5(5(x1)))))) -> 2(3(3(2(5(1(3(3(3(3(x1)))))))))) 2(5(5(3(1(5(x1)))))) -> 2(2(5(1(4(4(3(2(2(5(x1)))))))))) 3(1(2(1(4(0(x1)))))) -> 3(3(5(1(1(2(0(2(3(0(x1)))))))))) 3(5(1(0(4(0(x1)))))) -> 3(3(3(3(5(5(2(3(2(0(x1)))))))))) 3(5(3(4(5(4(x1)))))) -> 3(5(3(0(1(0(1(4(3(4(x1)))))))))) 5(4(4(2(5(1(x1)))))) -> 5(0(2(0(0(2(2(3(1(4(x1)))))))))) 5(5(1(5(4(0(x1)))))) -> 5(5(0(2(4(5(3(0(2(0(x1)))))))))) 5(5(5(5(5(4(x1)))))) -> 5(3(3(3(5(4(0(1(4(1(x1)))))))))) 0(3(4(4(5(4(5(x1))))))) -> 0(4(3(4(3(2(3(4(1(0(x1)))))))))) 0(4(0(5(4(5(4(x1))))))) -> 2(5(4(3(4(4(3(0(0(4(x1)))))))))) 0(4(0(5(5(1(0(x1))))))) -> 5(4(2(3(0(4(3(5(0(0(x1)))))))))) 0(4(1(0(5(2(5(x1))))))) -> 2(3(3(0(0(5(1(3(2(5(x1)))))))))) 0(5(3(5(3(5(1(x1))))))) -> 0(1(4(1(3(1(2(5(1(1(x1)))))))))) 0(5(5(1(0(3(1(x1))))))) -> 2(3(0(3(4(4(0(3(3(1(x1)))))))))) 1(1(0(1(5(1(5(x1))))))) -> 1(1(1(1(4(5(0(2(1(5(x1)))))))))) 1(2(1(5(3(4(5(x1))))))) -> 1(5(0(3(5(3(3(0(0(3(x1)))))))))) 1(5(0(5(3(0(5(x1))))))) -> 1(4(3(1(4(1(3(5(3(5(x1)))))))))) 2(3(5(5(5(2(5(x1))))))) -> 2(3(2(5(0(0(0(2(4(0(x1)))))))))) 3(0(0(5(1(4(5(x1))))))) -> 3(0(0(3(0(3(1(0(4(5(x1)))))))))) 3(0(5(4(4(2(1(x1))))))) -> 3(5(4(3(3(4(1(3(2(4(x1)))))))))) 3(1(4(0(0(4(2(x1))))))) -> 3(3(0(2(1(4(5(3(2(2(x1)))))))))) 3(1(5(5(1(0(4(x1))))))) -> 3(3(1(2(3(1(0(3(3(4(x1)))))))))) 3(4(5(5(5(5(5(x1))))))) -> 3(1(1(5(2(2(4(5(3(5(x1)))))))))) 3(5(4(5(2(5(3(x1))))))) -> 3(2(3(4(2(3(5(0(1(0(x1)))))))))) 4(0(5(5(3(4(5(x1))))))) -> 4(0(2(3(4(1(0(0(5(5(x1)))))))))) 4(5(4(0(1(0(5(x1))))))) -> 1(4(4(5(1(2(3(4(3(3(x1)))))))))) 5(1(0(5(4(4(5(x1))))))) -> 5(4(3(5(5(3(3(1(4(3(x1)))))))))) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(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 4. The certificate found is represented by the following graph. "[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, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792] {(151,152,[1_1|0, 3_1|0, 5_1|0, 2_1|0, 4_1|0, 0_1|0, encArg_1|0, encode_1_1|0, encode_5_1|0, encode_3_1|0, encode_0_1|0, encode_4_1|0, encode_2_1|0]), (151,153,[1_1|1, 3_1|1, 5_1|1, 2_1|1, 4_1|1, 0_1|1]), (151,154,[1_1|2]), (151,163,[1_1|2]), (151,172,[1_1|2]), (151,181,[1_1|2]), (151,190,[1_1|2]), (151,199,[1_1|2]), (151,208,[1_1|2]), (151,217,[3_1|2]), (151,226,[3_1|2]), (151,235,[3_1|2]), (151,244,[3_1|2]), (151,253,[3_1|2]), (151,262,[3_1|2]), (151,271,[3_1|2]), (151,280,[3_1|2]), (151,289,[3_1|2]), (151,298,[3_1|2]), (151,307,[3_1|2]), (151,316,[3_1|2]), (151,325,[5_1|2]), (151,334,[5_1|2]), (151,343,[5_1|2]), (151,352,[5_1|2]), (151,361,[5_1|2]), (151,370,[5_1|2]), (151,379,[5_1|2]), (151,388,[5_1|2]), (151,397,[5_1|2]), (151,406,[2_1|2]), (151,415,[2_1|2]), (151,424,[4_1|2]), (151,433,[2_1|2]), (151,442,[2_1|2]), (151,451,[2_1|2]), (151,460,[0_1|2]), (151,469,[0_1|2]), (151,478,[4_1|2]), (151,487,[2_1|2]), (151,496,[4_1|2]), (151,505,[0_1|2]), (151,514,[1_1|2]), (151,523,[0_1|2]), (151,532,[0_1|2]), (151,541,[0_1|2]), (151,550,[0_1|2]), (151,559,[4_1|2]), (151,568,[4_1|2]), (151,577,[2_1|2]), (151,586,[5_1|2]), (151,595,[0_1|2]), (151,604,[2_1|2]), (151,613,[2_1|2]), (151,622,[0_1|2]), (151,631,[2_1|2]), (152,152,[cons_1_1|0, cons_3_1|0, cons_5_1|0, cons_2_1|0, cons_4_1|0, cons_0_1|0]), (153,152,[encArg_1|1]), (153,153,[1_1|1, 3_1|1, 5_1|1, 2_1|1, 4_1|1, 0_1|1]), (153,154,[1_1|2]), (153,163,[1_1|2]), (153,172,[1_1|2]), (153,181,[1_1|2]), (153,190,[1_1|2]), (153,199,[1_1|2]), (153,208,[1_1|2]), (153,217,[3_1|2]), (153,226,[3_1|2]), (153,235,[3_1|2]), (153,244,[3_1|2]), (153,253,[3_1|2]), (153,262,[3_1|2]), (153,271,[3_1|2]), (153,280,[3_1|2]), (153,289,[3_1|2]), (153,298,[3_1|2]), (153,307,[3_1|2]), (153,316,[3_1|2]), (153,325,[5_1|2]), (153,334,[5_1|2]), (153,343,[5_1|2]), (153,352,[5_1|2]), (153,361,[5_1|2]), (153,370,[5_1|2]), (153,379,[5_1|2]), (153,388,[5_1|2]), (153,397,[5_1|2]), (153,406,[2_1|2]), (153,415,[2_1|2]), (153,424,[4_1|2]), (153,433,[2_1|2]), (153,442,[2_1|2]), (153,451,[2_1|2]), (153,460,[0_1|2]), (153,469,[0_1|2]), (153,478,[4_1|2]), (153,487,[2_1|2]), (153,496,[4_1|2]), (153,505,[0_1|2]), (153,514,[1_1|2]), (153,523,[0_1|2]), (153,532,[0_1|2]), (153,541,[0_1|2]), (153,550,[0_1|2]), (153,559,[4_1|2]), (153,568,[4_1|2]), (153,577,[2_1|2]), (153,586,[5_1|2]), (153,595,[0_1|2]), (153,604,[2_1|2]), (153,613,[2_1|2]), (153,622,[0_1|2]), (153,631,[2_1|2]), (154,155,[3_1|2]), (155,156,[0_1|2]), (156,157,[0_1|2]), (157,158,[4_1|2]), (158,159,[1_1|2]), (159,160,[3_1|2]), (160,161,[0_1|2]), (160,541,[0_1|2]), (161,162,[3_1|2]), (161,316,[3_1|2]), (162,153,[4_1|2]), (162,154,[4_1|2]), (162,163,[4_1|2]), (162,172,[4_1|2]), (162,181,[4_1|2]), (162,190,[4_1|2]), (162,199,[4_1|2]), (162,208,[4_1|2]), (162,514,[4_1|2, 1_1|2]), (162,460,[0_1|2]), (162,469,[0_1|2]), (162,478,[4_1|2]), (162,487,[2_1|2]), (162,496,[4_1|2]), (162,505,[0_1|2]), (162,523,[0_1|2]), (163,164,[4_1|2]), (164,165,[3_1|2]), (165,166,[1_1|2]), (166,167,[4_1|2]), (167,168,[1_1|2]), (168,169,[3_1|2]), (169,170,[5_1|2]), (170,171,[3_1|2]), (170,280,[3_1|2]), (170,289,[3_1|2]), (170,298,[3_1|2]), (170,307,[3_1|2]), (171,153,[5_1|2]), (171,325,[5_1|2]), (171,334,[5_1|2]), (171,343,[5_1|2]), (171,352,[5_1|2]), (171,361,[5_1|2]), (171,370,[5_1|2]), (171,379,[5_1|2]), (171,388,[5_1|2]), (171,397,[5_1|2]), (171,586,[5_1|2]), (171,640,[5_1|3]), (172,173,[1_1|2]), (173,174,[0_1|2]), (174,175,[2_1|2]), (175,176,[0_1|2]), (176,177,[1_1|2]), (177,178,[1_1|2]), (178,179,[3_1|2]), (179,180,[4_1|2]), (180,153,[1_1|2]), (180,424,[1_1|2]), (180,478,[1_1|2]), (180,496,[1_1|2]), (180,559,[1_1|2]), (180,568,[1_1|2]), (180,281,[1_1|2]), (180,552,[1_1|2]), (180,154,[1_1|2]), (180,163,[1_1|2]), (180,172,[1_1|2]), (180,181,[1_1|2]), (180,190,[1_1|2]), (180,199,[1_1|2]), (180,208,[1_1|2]), (180,649,[1_1|3]), (181,182,[1_1|2]), (182,183,[5_1|2]), (183,184,[4_1|2]), (184,185,[2_1|2]), (185,186,[5_1|2]), (186,187,[2_1|2]), (187,188,[2_1|2]), (188,189,[3_1|2]), (188,253,[3_1|2]), (188,262,[3_1|2]), (188,271,[3_1|2]), (188,658,[3_1|3]), (189,153,[0_1|2]), (189,154,[0_1|2]), (189,163,[0_1|2]), (189,172,[0_1|2]), (189,181,[0_1|2]), (189,190,[0_1|2]), (189,199,[0_1|2]), (189,208,[0_1|2]), (189,514,[0_1|2]), (189,407,[0_1|2]), (189,532,[0_1|2]), (189,541,[0_1|2]), (189,550,[0_1|2]), (189,559,[4_1|2]), (189,568,[4_1|2]), (189,577,[2_1|2]), (189,586,[5_1|2]), (189,595,[0_1|2]), (189,604,[2_1|2]), (189,613,[2_1|2]), (189,622,[0_1|2]), (189,631,[2_1|2]), (190,191,[1_1|2]), (191,192,[5_1|2]), (192,193,[0_1|2]), (193,194,[3_1|2]), (194,195,[2_1|2]), (195,196,[3_1|2]), (196,197,[4_1|2]), (197,198,[1_1|2]), (197,154,[1_1|2]), (197,163,[1_1|2]), (197,667,[1_1|3]), (198,153,[5_1|2]), (198,325,[5_1|2]), (198,334,[5_1|2]), (198,343,[5_1|2]), (198,352,[5_1|2]), (198,361,[5_1|2]), (198,370,[5_1|2]), (198,379,[5_1|2]), (198,388,[5_1|2]), (198,397,[5_1|2]), (198,586,[5_1|2]), (198,344,[5_1|2]), (198,640,[5_1|3]), (199,200,[1_1|2]), (200,201,[1_1|2]), (201,202,[1_1|2]), (202,203,[4_1|2]), (203,204,[5_1|2]), (204,205,[0_1|2]), (205,206,[2_1|2]), (205,406,[2_1|2]), (205,676,[2_1|3]), (206,207,[1_1|2]), (206,154,[1_1|2]), (206,163,[1_1|2]), (206,667,[1_1|3]), (207,153,[5_1|2]), (207,325,[5_1|2]), (207,334,[5_1|2]), (207,343,[5_1|2]), (207,352,[5_1|2]), (207,361,[5_1|2]), (207,370,[5_1|2]), (207,379,[5_1|2]), (207,388,[5_1|2]), (207,397,[5_1|2]), (207,586,[5_1|2]), (207,209,[5_1|2]), (207,640,[5_1|3]), (208,209,[5_1|2]), (209,210,[0_1|2]), (210,211,[3_1|2]), (211,212,[5_1|2]), (212,213,[3_1|2]), (213,214,[3_1|2]), (214,215,[0_1|2]), (215,216,[0_1|2]), (215,532,[0_1|2]), (215,541,[0_1|2]), (216,153,[3_1|2]), (216,325,[3_1|2]), (216,334,[3_1|2]), (216,343,[3_1|2]), (216,352,[3_1|2]), (216,361,[3_1|2]), (216,370,[3_1|2]), (216,379,[3_1|2]), (216,388,[3_1|2]), (216,397,[3_1|2]), (216,586,[3_1|2]), (216,217,[3_1|2]), (216,226,[3_1|2]), (216,235,[3_1|2]), (216,244,[3_1|2]), (216,253,[3_1|2]), (216,262,[3_1|2]), (216,271,[3_1|2]), (216,280,[3_1|2]), (216,289,[3_1|2]), (216,298,[3_1|2]), (216,307,[3_1|2]), (216,316,[3_1|2]), (216,685,[3_1|3]), (217,218,[1_1|2]), (218,219,[1_1|2]), (219,220,[3_1|2]), (220,221,[0_1|2]), (221,222,[5_1|2]), (222,223,[2_1|2]), (223,224,[0_1|2]), (224,225,[5_1|2]), (225,153,[2_1|2]), (225,325,[2_1|2]), (225,334,[2_1|2]), (225,343,[2_1|2]), (225,352,[2_1|2]), (225,361,[2_1|2]), (225,370,[2_1|2]), (225,379,[2_1|2]), (225,388,[2_1|2]), (225,397,[2_1|2]), (225,586,[2_1|2]), (225,209,[2_1|2]), (225,406,[2_1|2]), (225,415,[2_1|2]), (225,424,[4_1|2]), (225,433,[2_1|2]), (225,442,[2_1|2]), (225,451,[2_1|2]), (226,227,[3_1|2]), (227,228,[1_1|2]), (228,229,[2_1|2]), (229,230,[3_1|2]), (230,231,[1_1|2]), (231,232,[0_1|2]), (232,233,[3_1|2]), (233,234,[3_1|2]), (233,316,[3_1|2]), (234,153,[4_1|2]), (234,424,[4_1|2]), (234,478,[4_1|2]), (234,496,[4_1|2]), (234,559,[4_1|2]), (234,568,[4_1|2]), (234,470,[4_1|2]), (234,542,[4_1|2]), (234,596,[4_1|2]), (234,460,[0_1|2]), (234,469,[0_1|2]), (234,487,[2_1|2]), (234,505,[0_1|2]), (234,514,[1_1|2]), (234,523,[0_1|2]), (235,236,[3_1|2]), (236,237,[5_1|2]), (237,238,[1_1|2]), (238,239,[1_1|2]), (239,240,[2_1|2]), (240,241,[0_1|2]), (241,242,[2_1|2]), (242,243,[3_1|2]), (242,253,[3_1|2]), (242,262,[3_1|2]), (242,271,[3_1|2]), (242,658,[3_1|3]), (243,153,[0_1|2]), (243,460,[0_1|2]), (243,469,[0_1|2]), (243,505,[0_1|2]), (243,523,[0_1|2]), (243,532,[0_1|2]), (243,541,[0_1|2]), (243,550,[0_1|2]), (243,595,[0_1|2]), (243,622,[0_1|2]), (243,479,[0_1|2]), (243,559,[4_1|2]), (243,568,[4_1|2]), (243,577,[2_1|2]), (243,586,[5_1|2]), (243,604,[2_1|2]), (243,613,[2_1|2]), (243,631,[2_1|2]), (244,245,[3_1|2]), (245,246,[0_1|2]), (246,247,[2_1|2]), (247,248,[1_1|2]), (248,249,[4_1|2]), (249,250,[5_1|2]), (250,251,[3_1|2]), (251,252,[2_1|2]), (252,153,[2_1|2]), (252,406,[2_1|2]), (252,415,[2_1|2]), (252,433,[2_1|2]), (252,442,[2_1|2]), (252,451,[2_1|2]), (252,487,[2_1|2]), (252,577,[2_1|2]), (252,604,[2_1|2]), (252,613,[2_1|2]), (252,631,[2_1|2]), (252,425,[2_1|2]), (252,560,[2_1|2]), (252,535,[2_1|2]), (252,424,[4_1|2]), (253,254,[3_1|2]), (254,255,[5_1|2]), (255,256,[0_1|2]), (256,257,[5_1|2]), (257,258,[2_1|2]), (258,259,[3_1|2]), (259,260,[3_1|2]), (260,261,[0_1|2]), (261,153,[2_1|2]), (261,325,[2_1|2]), (261,334,[2_1|2]), (261,343,[2_1|2]), (261,352,[2_1|2]), (261,361,[2_1|2]), (261,370,[2_1|2]), (261,379,[2_1|2]), (261,388,[2_1|2]), (261,397,[2_1|2]), (261,586,[2_1|2]), (261,344,[2_1|2]), (261,406,[2_1|2]), (261,415,[2_1|2]), (261,424,[4_1|2]), (261,433,[2_1|2]), (261,442,[2_1|2]), (261,451,[2_1|2]), (262,263,[5_1|2]), (263,264,[4_1|2]), (264,265,[3_1|2]), (265,266,[3_1|2]), (266,267,[4_1|2]), (267,268,[1_1|2]), (268,269,[3_1|2]), (269,270,[2_1|2]), (269,415,[2_1|2]), 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(717,718,[1_1|3]), (718,719,[3_1|3]), (719,720,[4_1|3]), (720,281,[1_1|3]), (720,552,[1_1|3]), (721,722,[1_1|3]), (722,723,[1_1|3]), (723,724,[3_1|3]), (724,725,[0_1|3]), (725,726,[5_1|3]), (726,727,[2_1|3]), (727,728,[0_1|3]), (728,729,[5_1|3]), (729,330,[2_1|3]), (730,731,[4_1|3]), (731,732,[3_1|3]), (732,733,[2_1|3]), (733,734,[2_1|3]), (734,735,[2_1|3]), (735,736,[3_1|3]), (736,737,[1_1|3]), (737,738,[2_1|3]), (738,344,[3_1|3]), (739,740,[3_1|3]), (740,741,[0_1|3]), (741,742,[2_1|3]), (742,743,[1_1|3]), (743,744,[4_1|3]), (744,745,[5_1|3]), (745,746,[3_1|3]), (746,747,[2_1|3]), (747,535,[2_1|3]), (748,749,[1_1|3]), (749,750,[1_1|3]), (750,751,[3_1|3]), (751,752,[0_1|3]), (752,753,[5_1|3]), (753,754,[2_1|3]), (754,755,[0_1|3]), (755,756,[5_1|3]), (756,325,[2_1|3]), (756,334,[2_1|3]), (756,343,[2_1|3]), (756,352,[2_1|3]), (756,361,[2_1|3]), (756,370,[2_1|3]), (756,379,[2_1|3]), (756,388,[2_1|3]), (756,397,[2_1|3]), (756,586,[2_1|3]), (756,209,[2_1|3]), (757,758,[2_1|3]), (758,759,[3_1|3]), (759,760,[3_1|3]), (759,784,[3_1|4]), (760,761,[1_1|3]), (761,762,[5_1|3]), (762,763,[2_1|3]), (763,764,[3_1|3]), (764,765,[0_1|3]), (765,154,[4_1|3]), (765,163,[4_1|3]), (765,172,[4_1|3]), (765,181,[4_1|3]), (765,190,[4_1|3]), (765,199,[4_1|3]), (765,208,[4_1|3]), (765,514,[4_1|3]), (766,767,[2_1|3]), (767,768,[1_1|3]), (768,769,[3_1|3]), (769,770,[1_1|3]), (770,771,[1_1|3]), (771,772,[1_1|3]), (772,773,[3_1|3]), (773,774,[2_1|3]), (774,325,[2_1|3]), (774,334,[2_1|3]), (774,343,[2_1|3]), (774,352,[2_1|3]), (774,361,[2_1|3]), (774,370,[2_1|3]), (774,379,[2_1|3]), (774,388,[2_1|3]), (774,397,[2_1|3]), (774,586,[2_1|3]), (774,344,[2_1|3]), (775,776,[2_1|3]), (776,777,[4_1|3]), (777,778,[3_1|3]), (778,779,[2_1|3]), (779,780,[3_1|3]), (780,781,[5_1|3]), (781,782,[2_1|3]), (782,783,[4_1|3]), (783,479,[0_1|3]), (784,785,[1_1|4]), (785,786,[1_1|4]), (786,787,[3_1|4]), (787,788,[0_1|4]), (788,789,[5_1|4]), (789,790,[2_1|4]), (790,791,[0_1|4]), (791,792,[5_1|4]), (792,762,[2_1|4])}" ---------------------------------------- (8) BOUNDS(1, n^1)