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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 88 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 233 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(1(0(1(x1)))) -> 0(1(1(1(0(0(1(2(2(2(x1)))))))))) 0(3(4(4(x1)))) -> 0(0(0(3(1(1(4(2(2(0(x1)))))))))) 1(5(1(5(4(x1))))) -> 1(0(0(2(2(0(5(2(2(4(x1)))))))))) 3(4(5(3(4(x1))))) -> 3(5(0(2(1(1(1(2(1(4(x1)))))))))) 4(3(4(3(4(x1))))) -> 2(1(1(1(4(1(2(4(2(0(x1)))))))))) 5(0(1(0(1(x1))))) -> 5(0(2(0(1(1(4(2(1(2(x1)))))))))) 1(0(1(0(1(4(x1)))))) -> 1(0(2(4(5(4(2(4(2(4(x1)))))))))) 1(1(3(4(1(5(x1)))))) -> 1(1(0(0(2(2(5(2(0(0(x1)))))))))) 1(3(1(1(3(3(x1)))))) -> 1(2(4(2(0(2(1(0(2(5(x1)))))))))) 1(3(1(5(2(3(x1)))))) -> 1(4(3(2(1(0(0(2(4(3(x1)))))))))) 1(5(0(5(5(3(x1)))))) -> 2(1(1(1(1(2(1(3(5(3(x1)))))))))) 2(1(3(1(5(5(x1)))))) -> 1(1(2(2(0(5(0(0(2(2(x1)))))))))) 2(2(4(3(4(5(x1)))))) -> 2(0(1(4(0(0(2(0(0(0(x1)))))))))) 2(3(1(0(3(4(x1)))))) -> 0(0(1(1(5(2(4(1(1(4(x1)))))))))) 2(3(3(4(1(5(x1)))))) -> 0(0(2(4(4(2(0(4(1(3(x1)))))))))) 2(5(0(5(5(1(x1)))))) -> 3(0(1(4(4(0(0(0(0(1(x1)))))))))) 3(0(4(3(3(4(x1)))))) -> 2(3(0(3(5(1(2(4(2(4(x1)))))))))) 3(2(3(3(0(4(x1)))))) -> 5(4(2(2(0(0(4(2(4(4(x1)))))))))) 3(3(5(4(3(4(x1)))))) -> 0(5(1(1(0(4(0(2(4(4(x1)))))))))) 3(5(4(2(1(0(x1)))))) -> 2(5(0(0(0(0(0(4(4(0(x1)))))))))) 4(1(3(4(3(1(x1)))))) -> 4(2(5(0(1(0(0(0(4(4(x1)))))))))) 4(2(1(0(2(5(x1)))))) -> 4(2(5(4(2(2(2(4(2(5(x1)))))))))) 4(3(3(5(1(1(x1)))))) -> 4(4(2(4(4(2(5(0(1(2(x1)))))))))) 5(4(0(1(3(0(x1)))))) -> 0(2(4(2(2(1(2(0(0(0(x1)))))))))) 0(4(1(5(5(3(5(x1))))))) -> 0(2(2(0(1(2(5(2(5(0(x1)))))))))) 0(4(4(3(4(1(3(x1))))))) -> 0(4(2(4(1(3(2(0(2(2(x1)))))))))) 1(3(3(4(5(2(5(x1))))))) -> 1(1(1(4(5(1(2(5(2(4(x1)))))))))) 1(5(2(5(1(5(2(x1))))))) -> 1(2(3(0(2(3(0(1(0(2(x1)))))))))) 1(5(3(2(4(5(4(x1))))))) -> 1(1(0(3(0(0(0(0(3(4(x1)))))))))) 1(5(5(5(3(2(1(x1))))))) -> 1(4(1(4(2(1(3(0(1(1(x1)))))))))) 2(1(2(3(1(3(3(x1))))))) -> 2(1(4(1(5(1(1(1(1(1(x1)))))))))) 3(0(2(1(3(2(1(x1))))))) -> 1(2(0(0(3(3(4(2(2(1(x1)))))))))) 3(0(4(4(3(4(5(x1))))))) -> 1(2(2(4(3(2(2(2(0(4(x1)))))))))) 3(1(3(1(5(4(1(x1))))))) -> 0(1(2(2(5(5(5(4(2(0(x1)))))))))) 3(2(5(2(1(3(4(x1))))))) -> 0(2(1(3(1(2(1(4(2(2(x1)))))))))) 3(3(1(3(1(3(3(x1))))))) -> 1(2(1(3(0(5(5(1(2(1(x1)))))))))) 3(3(1(5(0(3(4(x1))))))) -> 2(0(0(5(1(2(1(4(1(4(x1)))))))))) 3(3(3(5(2(4(5(x1))))))) -> 3(1(0(0(1(4(2(2(0(5(x1)))))))))) 3(4(3(3(4(3(5(x1))))))) -> 5(1(1(1(1(1(4(2(3(3(x1)))))))))) 3(4(3(4(4(3(2(x1))))))) -> 2(5(4(5(3(4(2(4(4(0(x1)))))))))) 4(1(3(4(1(0(2(x1))))))) -> 4(4(1(5(1(2(1(4(2(2(x1)))))))))) 4(5(0(4(1(3(1(x1))))))) -> 1(1(1(2(0(0(4(4(5(1(x1)))))))))) 4(5(0(5(3(2(1(x1))))))) -> 1(1(4(1(3(0(2(4(2(1(x1)))))))))) 4(5(0(5(3(4(5(x1))))))) -> 1(1(1(0(5(4(0(2(4(5(x1)))))))))) 4(5(3(1(4(4(3(x1))))))) -> 4(5(5(5(4(2(4(4(2(3(x1)))))))))) 4(5(3(4(1(4(5(x1))))))) -> 4(5(4(0(2(0(1(2(1(0(x1)))))))))) 4(5(4(3(4(1(0(x1))))))) -> 1(4(1(1(2(4(0(1(2(0(x1)))))))))) 5(3(2(1(5(3(4(x1))))))) -> 5(1(2(1(3(3(5(1(2(4(x1)))))))))) 5(3(4(3(1(3(3(x1))))))) -> 5(1(1(4(2(4(3(3(4(3(x1)))))))))) 5(3(4(4(3(1(2(x1))))))) -> 5(1(0(5(0(3(5(1(1(1(x1)))))))))) 5(4(3(2(3(1(3(x1))))))) -> 0(0(0(2(3(0(2(5(4(3(x1)))))))))) 5(4(3(4(3(1(5(x1))))))) -> 0(2(0(0(0(0(4(1(5(0(x1)))))))))) 5(5(3(3(3(5(4(x1))))))) -> 0(3(5(2(2(1(0(4(2(2(x1)))))))))) 5(5(4(5(3(5(5(x1))))))) -> 5(2(4(2(2(2(4(1(5(2(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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(1(0(1(x1)))) -> 0(1(1(1(0(0(1(2(2(2(x1)))))))))) 0(3(4(4(x1)))) -> 0(0(0(3(1(1(4(2(2(0(x1)))))))))) 1(5(1(5(4(x1))))) -> 1(0(0(2(2(0(5(2(2(4(x1)))))))))) 3(4(5(3(4(x1))))) -> 3(5(0(2(1(1(1(2(1(4(x1)))))))))) 4(3(4(3(4(x1))))) -> 2(1(1(1(4(1(2(4(2(0(x1)))))))))) 5(0(1(0(1(x1))))) -> 5(0(2(0(1(1(4(2(1(2(x1)))))))))) 1(0(1(0(1(4(x1)))))) -> 1(0(2(4(5(4(2(4(2(4(x1)))))))))) 1(1(3(4(1(5(x1)))))) -> 1(1(0(0(2(2(5(2(0(0(x1)))))))))) 1(3(1(1(3(3(x1)))))) -> 1(2(4(2(0(2(1(0(2(5(x1)))))))))) 1(3(1(5(2(3(x1)))))) -> 1(4(3(2(1(0(0(2(4(3(x1)))))))))) 1(5(0(5(5(3(x1)))))) -> 2(1(1(1(1(2(1(3(5(3(x1)))))))))) 2(1(3(1(5(5(x1)))))) -> 1(1(2(2(0(5(0(0(2(2(x1)))))))))) 2(2(4(3(4(5(x1)))))) -> 2(0(1(4(0(0(2(0(0(0(x1)))))))))) 2(3(1(0(3(4(x1)))))) -> 0(0(1(1(5(2(4(1(1(4(x1)))))))))) 2(3(3(4(1(5(x1)))))) -> 0(0(2(4(4(2(0(4(1(3(x1)))))))))) 2(5(0(5(5(1(x1)))))) -> 3(0(1(4(4(0(0(0(0(1(x1)))))))))) 3(0(4(3(3(4(x1)))))) -> 2(3(0(3(5(1(2(4(2(4(x1)))))))))) 3(2(3(3(0(4(x1)))))) -> 5(4(2(2(0(0(4(2(4(4(x1)))))))))) 3(3(5(4(3(4(x1)))))) -> 0(5(1(1(0(4(0(2(4(4(x1)))))))))) 3(5(4(2(1(0(x1)))))) -> 2(5(0(0(0(0(0(4(4(0(x1)))))))))) 4(1(3(4(3(1(x1)))))) -> 4(2(5(0(1(0(0(0(4(4(x1)))))))))) 4(2(1(0(2(5(x1)))))) -> 4(2(5(4(2(2(2(4(2(5(x1)))))))))) 4(3(3(5(1(1(x1)))))) -> 4(4(2(4(4(2(5(0(1(2(x1)))))))))) 5(4(0(1(3(0(x1)))))) -> 0(2(4(2(2(1(2(0(0(0(x1)))))))))) 0(4(1(5(5(3(5(x1))))))) -> 0(2(2(0(1(2(5(2(5(0(x1)))))))))) 0(4(4(3(4(1(3(x1))))))) -> 0(4(2(4(1(3(2(0(2(2(x1)))))))))) 1(3(3(4(5(2(5(x1))))))) -> 1(1(1(4(5(1(2(5(2(4(x1)))))))))) 1(5(2(5(1(5(2(x1))))))) -> 1(2(3(0(2(3(0(1(0(2(x1)))))))))) 1(5(3(2(4(5(4(x1))))))) -> 1(1(0(3(0(0(0(0(3(4(x1)))))))))) 1(5(5(5(3(2(1(x1))))))) -> 1(4(1(4(2(1(3(0(1(1(x1)))))))))) 2(1(2(3(1(3(3(x1))))))) -> 2(1(4(1(5(1(1(1(1(1(x1)))))))))) 3(0(2(1(3(2(1(x1))))))) -> 1(2(0(0(3(3(4(2(2(1(x1)))))))))) 3(0(4(4(3(4(5(x1))))))) -> 1(2(2(4(3(2(2(2(0(4(x1)))))))))) 3(1(3(1(5(4(1(x1))))))) -> 0(1(2(2(5(5(5(4(2(0(x1)))))))))) 3(2(5(2(1(3(4(x1))))))) -> 0(2(1(3(1(2(1(4(2(2(x1)))))))))) 3(3(1(3(1(3(3(x1))))))) -> 1(2(1(3(0(5(5(1(2(1(x1)))))))))) 3(3(1(5(0(3(4(x1))))))) -> 2(0(0(5(1(2(1(4(1(4(x1)))))))))) 3(3(3(5(2(4(5(x1))))))) -> 3(1(0(0(1(4(2(2(0(5(x1)))))))))) 3(4(3(3(4(3(5(x1))))))) -> 5(1(1(1(1(1(4(2(3(3(x1)))))))))) 3(4(3(4(4(3(2(x1))))))) -> 2(5(4(5(3(4(2(4(4(0(x1)))))))))) 4(1(3(4(1(0(2(x1))))))) -> 4(4(1(5(1(2(1(4(2(2(x1)))))))))) 4(5(0(4(1(3(1(x1))))))) -> 1(1(1(2(0(0(4(4(5(1(x1)))))))))) 4(5(0(5(3(2(1(x1))))))) -> 1(1(4(1(3(0(2(4(2(1(x1)))))))))) 4(5(0(5(3(4(5(x1))))))) -> 1(1(1(0(5(4(0(2(4(5(x1)))))))))) 4(5(3(1(4(4(3(x1))))))) -> 4(5(5(5(4(2(4(4(2(3(x1)))))))))) 4(5(3(4(1(4(5(x1))))))) -> 4(5(4(0(2(0(1(2(1(0(x1)))))))))) 4(5(4(3(4(1(0(x1))))))) -> 1(4(1(1(2(4(0(1(2(0(x1)))))))))) 5(3(2(1(5(3(4(x1))))))) -> 5(1(2(1(3(3(5(1(2(4(x1)))))))))) 5(3(4(3(1(3(3(x1))))))) -> 5(1(1(4(2(4(3(3(4(3(x1)))))))))) 5(3(4(4(3(1(2(x1))))))) -> 5(1(0(5(0(3(5(1(1(1(x1)))))))))) 5(4(3(2(3(1(3(x1))))))) -> 0(0(0(2(3(0(2(5(4(3(x1)))))))))) 5(4(3(4(3(1(5(x1))))))) -> 0(2(0(0(0(0(4(1(5(0(x1)))))))))) 5(5(3(3(3(5(4(x1))))))) -> 0(3(5(2(2(1(0(4(2(2(x1)))))))))) 5(5(4(5(3(5(5(x1))))))) -> 5(2(4(2(2(2(4(1(5(2(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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(1(0(1(x1)))) -> 0(1(1(1(0(0(1(2(2(2(x1)))))))))) 0(3(4(4(x1)))) -> 0(0(0(3(1(1(4(2(2(0(x1)))))))))) 1(5(1(5(4(x1))))) -> 1(0(0(2(2(0(5(2(2(4(x1)))))))))) 3(4(5(3(4(x1))))) -> 3(5(0(2(1(1(1(2(1(4(x1)))))))))) 4(3(4(3(4(x1))))) -> 2(1(1(1(4(1(2(4(2(0(x1)))))))))) 5(0(1(0(1(x1))))) -> 5(0(2(0(1(1(4(2(1(2(x1)))))))))) 1(0(1(0(1(4(x1)))))) -> 1(0(2(4(5(4(2(4(2(4(x1)))))))))) 1(1(3(4(1(5(x1)))))) -> 1(1(0(0(2(2(5(2(0(0(x1)))))))))) 1(3(1(1(3(3(x1)))))) -> 1(2(4(2(0(2(1(0(2(5(x1)))))))))) 1(3(1(5(2(3(x1)))))) -> 1(4(3(2(1(0(0(2(4(3(x1)))))))))) 1(5(0(5(5(3(x1)))))) -> 2(1(1(1(1(2(1(3(5(3(x1)))))))))) 2(1(3(1(5(5(x1)))))) -> 1(1(2(2(0(5(0(0(2(2(x1)))))))))) 2(2(4(3(4(5(x1)))))) -> 2(0(1(4(0(0(2(0(0(0(x1)))))))))) 2(3(1(0(3(4(x1)))))) -> 0(0(1(1(5(2(4(1(1(4(x1)))))))))) 2(3(3(4(1(5(x1)))))) -> 0(0(2(4(4(2(0(4(1(3(x1)))))))))) 2(5(0(5(5(1(x1)))))) -> 3(0(1(4(4(0(0(0(0(1(x1)))))))))) 3(0(4(3(3(4(x1)))))) -> 2(3(0(3(5(1(2(4(2(4(x1)))))))))) 3(2(3(3(0(4(x1)))))) -> 5(4(2(2(0(0(4(2(4(4(x1)))))))))) 3(3(5(4(3(4(x1)))))) -> 0(5(1(1(0(4(0(2(4(4(x1)))))))))) 3(5(4(2(1(0(x1)))))) -> 2(5(0(0(0(0(0(4(4(0(x1)))))))))) 4(1(3(4(3(1(x1)))))) -> 4(2(5(0(1(0(0(0(4(4(x1)))))))))) 4(2(1(0(2(5(x1)))))) -> 4(2(5(4(2(2(2(4(2(5(x1)))))))))) 4(3(3(5(1(1(x1)))))) -> 4(4(2(4(4(2(5(0(1(2(x1)))))))))) 5(4(0(1(3(0(x1)))))) -> 0(2(4(2(2(1(2(0(0(0(x1)))))))))) 0(4(1(5(5(3(5(x1))))))) -> 0(2(2(0(1(2(5(2(5(0(x1)))))))))) 0(4(4(3(4(1(3(x1))))))) -> 0(4(2(4(1(3(2(0(2(2(x1)))))))))) 1(3(3(4(5(2(5(x1))))))) -> 1(1(1(4(5(1(2(5(2(4(x1)))))))))) 1(5(2(5(1(5(2(x1))))))) -> 1(2(3(0(2(3(0(1(0(2(x1)))))))))) 1(5(3(2(4(5(4(x1))))))) -> 1(1(0(3(0(0(0(0(3(4(x1)))))))))) 1(5(5(5(3(2(1(x1))))))) -> 1(4(1(4(2(1(3(0(1(1(x1)))))))))) 2(1(2(3(1(3(3(x1))))))) -> 2(1(4(1(5(1(1(1(1(1(x1)))))))))) 3(0(2(1(3(2(1(x1))))))) -> 1(2(0(0(3(3(4(2(2(1(x1)))))))))) 3(0(4(4(3(4(5(x1))))))) -> 1(2(2(4(3(2(2(2(0(4(x1)))))))))) 3(1(3(1(5(4(1(x1))))))) -> 0(1(2(2(5(5(5(4(2(0(x1)))))))))) 3(2(5(2(1(3(4(x1))))))) -> 0(2(1(3(1(2(1(4(2(2(x1)))))))))) 3(3(1(3(1(3(3(x1))))))) -> 1(2(1(3(0(5(5(1(2(1(x1)))))))))) 3(3(1(5(0(3(4(x1))))))) -> 2(0(0(5(1(2(1(4(1(4(x1)))))))))) 3(3(3(5(2(4(5(x1))))))) -> 3(1(0(0(1(4(2(2(0(5(x1)))))))))) 3(4(3(3(4(3(5(x1))))))) -> 5(1(1(1(1(1(4(2(3(3(x1)))))))))) 3(4(3(4(4(3(2(x1))))))) -> 2(5(4(5(3(4(2(4(4(0(x1)))))))))) 4(1(3(4(1(0(2(x1))))))) -> 4(4(1(5(1(2(1(4(2(2(x1)))))))))) 4(5(0(4(1(3(1(x1))))))) -> 1(1(1(2(0(0(4(4(5(1(x1)))))))))) 4(5(0(5(3(2(1(x1))))))) -> 1(1(4(1(3(0(2(4(2(1(x1)))))))))) 4(5(0(5(3(4(5(x1))))))) -> 1(1(1(0(5(4(0(2(4(5(x1)))))))))) 4(5(3(1(4(4(3(x1))))))) -> 4(5(5(5(4(2(4(4(2(3(x1)))))))))) 4(5(3(4(1(4(5(x1))))))) -> 4(5(4(0(2(0(1(2(1(0(x1)))))))))) 4(5(4(3(4(1(0(x1))))))) -> 1(4(1(1(2(4(0(1(2(0(x1)))))))))) 5(3(2(1(5(3(4(x1))))))) -> 5(1(2(1(3(3(5(1(2(4(x1)))))))))) 5(3(4(3(1(3(3(x1))))))) -> 5(1(1(4(2(4(3(3(4(3(x1)))))))))) 5(3(4(4(3(1(2(x1))))))) -> 5(1(0(5(0(3(5(1(1(1(x1)))))))))) 5(4(3(2(3(1(3(x1))))))) -> 0(0(0(2(3(0(2(5(4(3(x1)))))))))) 5(4(3(4(3(1(5(x1))))))) -> 0(2(0(0(0(0(4(1(5(0(x1)))))))))) 5(5(3(3(3(5(4(x1))))))) -> 0(3(5(2(2(1(0(4(2(2(x1)))))))))) 5(5(4(5(3(5(5(x1))))))) -> 5(2(4(2(2(2(4(1(5(2(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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(1(0(1(x1)))) -> 0(1(1(1(0(0(1(2(2(2(x1)))))))))) 0(3(4(4(x1)))) -> 0(0(0(3(1(1(4(2(2(0(x1)))))))))) 1(5(1(5(4(x1))))) -> 1(0(0(2(2(0(5(2(2(4(x1)))))))))) 3(4(5(3(4(x1))))) -> 3(5(0(2(1(1(1(2(1(4(x1)))))))))) 4(3(4(3(4(x1))))) -> 2(1(1(1(4(1(2(4(2(0(x1)))))))))) 5(0(1(0(1(x1))))) -> 5(0(2(0(1(1(4(2(1(2(x1)))))))))) 1(0(1(0(1(4(x1)))))) -> 1(0(2(4(5(4(2(4(2(4(x1)))))))))) 1(1(3(4(1(5(x1)))))) -> 1(1(0(0(2(2(5(2(0(0(x1)))))))))) 1(3(1(1(3(3(x1)))))) -> 1(2(4(2(0(2(1(0(2(5(x1)))))))))) 1(3(1(5(2(3(x1)))))) -> 1(4(3(2(1(0(0(2(4(3(x1)))))))))) 1(5(0(5(5(3(x1)))))) -> 2(1(1(1(1(2(1(3(5(3(x1)))))))))) 2(1(3(1(5(5(x1)))))) -> 1(1(2(2(0(5(0(0(2(2(x1)))))))))) 2(2(4(3(4(5(x1)))))) -> 2(0(1(4(0(0(2(0(0(0(x1)))))))))) 2(3(1(0(3(4(x1)))))) -> 0(0(1(1(5(2(4(1(1(4(x1)))))))))) 2(3(3(4(1(5(x1)))))) -> 0(0(2(4(4(2(0(4(1(3(x1)))))))))) 2(5(0(5(5(1(x1)))))) -> 3(0(1(4(4(0(0(0(0(1(x1)))))))))) 3(0(4(3(3(4(x1)))))) -> 2(3(0(3(5(1(2(4(2(4(x1)))))))))) 3(2(3(3(0(4(x1)))))) -> 5(4(2(2(0(0(4(2(4(4(x1)))))))))) 3(3(5(4(3(4(x1)))))) -> 0(5(1(1(0(4(0(2(4(4(x1)))))))))) 3(5(4(2(1(0(x1)))))) -> 2(5(0(0(0(0(0(4(4(0(x1)))))))))) 4(1(3(4(3(1(x1)))))) -> 4(2(5(0(1(0(0(0(4(4(x1)))))))))) 4(2(1(0(2(5(x1)))))) -> 4(2(5(4(2(2(2(4(2(5(x1)))))))))) 4(3(3(5(1(1(x1)))))) -> 4(4(2(4(4(2(5(0(1(2(x1)))))))))) 5(4(0(1(3(0(x1)))))) -> 0(2(4(2(2(1(2(0(0(0(x1)))))))))) 0(4(1(5(5(3(5(x1))))))) -> 0(2(2(0(1(2(5(2(5(0(x1)))))))))) 0(4(4(3(4(1(3(x1))))))) -> 0(4(2(4(1(3(2(0(2(2(x1)))))))))) 1(3(3(4(5(2(5(x1))))))) -> 1(1(1(4(5(1(2(5(2(4(x1)))))))))) 1(5(2(5(1(5(2(x1))))))) -> 1(2(3(0(2(3(0(1(0(2(x1)))))))))) 1(5(3(2(4(5(4(x1))))))) -> 1(1(0(3(0(0(0(0(3(4(x1)))))))))) 1(5(5(5(3(2(1(x1))))))) -> 1(4(1(4(2(1(3(0(1(1(x1)))))))))) 2(1(2(3(1(3(3(x1))))))) -> 2(1(4(1(5(1(1(1(1(1(x1)))))))))) 3(0(2(1(3(2(1(x1))))))) -> 1(2(0(0(3(3(4(2(2(1(x1)))))))))) 3(0(4(4(3(4(5(x1))))))) -> 1(2(2(4(3(2(2(2(0(4(x1)))))))))) 3(1(3(1(5(4(1(x1))))))) -> 0(1(2(2(5(5(5(4(2(0(x1)))))))))) 3(2(5(2(1(3(4(x1))))))) -> 0(2(1(3(1(2(1(4(2(2(x1)))))))))) 3(3(1(3(1(3(3(x1))))))) -> 1(2(1(3(0(5(5(1(2(1(x1)))))))))) 3(3(1(5(0(3(4(x1))))))) -> 2(0(0(5(1(2(1(4(1(4(x1)))))))))) 3(3(3(5(2(4(5(x1))))))) -> 3(1(0(0(1(4(2(2(0(5(x1)))))))))) 3(4(3(3(4(3(5(x1))))))) -> 5(1(1(1(1(1(4(2(3(3(x1)))))))))) 3(4(3(4(4(3(2(x1))))))) -> 2(5(4(5(3(4(2(4(4(0(x1)))))))))) 4(1(3(4(1(0(2(x1))))))) -> 4(4(1(5(1(2(1(4(2(2(x1)))))))))) 4(5(0(4(1(3(1(x1))))))) -> 1(1(1(2(0(0(4(4(5(1(x1)))))))))) 4(5(0(5(3(2(1(x1))))))) -> 1(1(4(1(3(0(2(4(2(1(x1)))))))))) 4(5(0(5(3(4(5(x1))))))) -> 1(1(1(0(5(4(0(2(4(5(x1)))))))))) 4(5(3(1(4(4(3(x1))))))) -> 4(5(5(5(4(2(4(4(2(3(x1)))))))))) 4(5(3(4(1(4(5(x1))))))) -> 4(5(4(0(2(0(1(2(1(0(x1)))))))))) 4(5(4(3(4(1(0(x1))))))) -> 1(4(1(1(2(4(0(1(2(0(x1)))))))))) 5(3(2(1(5(3(4(x1))))))) -> 5(1(2(1(3(3(5(1(2(4(x1)))))))))) 5(3(4(3(1(3(3(x1))))))) -> 5(1(1(4(2(4(3(3(4(3(x1)))))))))) 5(3(4(4(3(1(2(x1))))))) -> 5(1(0(5(0(3(5(1(1(1(x1)))))))))) 5(4(3(2(3(1(3(x1))))))) -> 0(0(0(2(3(0(2(5(4(3(x1)))))))))) 5(4(3(4(3(1(5(x1))))))) -> 0(2(0(0(0(0(4(1(5(0(x1)))))))))) 5(5(3(3(3(5(4(x1))))))) -> 0(3(5(2(2(1(0(4(2(2(x1)))))))))) 5(5(4(5(3(5(5(x1))))))) -> 5(2(4(2(2(2(4(1(5(2(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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 3. The certificate found is represented by the following graph. "[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, 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] {(138,139,[0_1|0, 1_1|0, 3_1|0, 4_1|0, 5_1|0, 2_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (138,140,[0_1|1, 1_1|1, 3_1|1, 4_1|1, 5_1|1, 2_1|1]), (138,141,[0_1|2]), (138,150,[0_1|2]), (138,159,[0_1|2]), (138,168,[0_1|2]), (138,177,[1_1|2]), (138,186,[2_1|2]), (138,195,[1_1|2]), (138,204,[1_1|2]), (138,213,[1_1|2]), (138,222,[1_1|2]), (138,231,[1_1|2]), (138,240,[1_1|2]), (138,249,[1_1|2]), (138,258,[1_1|2]), (138,267,[3_1|2]), (138,276,[5_1|2]), (138,285,[2_1|2]), (138,294,[2_1|2]), (138,303,[1_1|2]), (138,312,[1_1|2]), (138,321,[5_1|2]), (138,330,[0_1|2]), (138,339,[0_1|2]), (138,348,[1_1|2]), (138,357,[2_1|2]), (138,366,[3_1|2]), (138,375,[2_1|2]), (138,384,[0_1|2]), (138,393,[2_1|2]), (138,402,[4_1|2]), (138,411,[4_1|2]), (138,420,[4_1|2]), (138,429,[4_1|2]), (138,438,[1_1|2]), (138,447,[1_1|2]), (138,456,[1_1|2]), (138,465,[4_1|2]), (138,474,[4_1|2]), (138,483,[1_1|2]), (138,492,[5_1|2]), (138,501,[0_1|2]), (138,510,[0_1|2]), (138,519,[0_1|2]), (138,528,[5_1|2]), (138,537,[5_1|2]), (138,546,[5_1|2]), (138,555,[0_1|2]), (138,564,[5_1|2]), (138,573,[1_1|2]), (138,582,[2_1|2]), (138,591,[2_1|2]), (138,600,[0_1|2]), (138,609,[0_1|2]), (138,618,[3_1|2]), (139,139,[cons_0_1|0, cons_1_1|0, cons_3_1|0, cons_4_1|0, cons_5_1|0, cons_2_1|0]), (140,139,[encArg_1|1]), (140,140,[0_1|1, 1_1|1, 3_1|1, 4_1|1, 5_1|1, 2_1|1]), (140,141,[0_1|2]), (140,150,[0_1|2]), (140,159,[0_1|2]), (140,168,[0_1|2]), (140,177,[1_1|2]), (140,186,[2_1|2]), (140,195,[1_1|2]), (140,204,[1_1|2]), (140,213,[1_1|2]), (140,222,[1_1|2]), (140,231,[1_1|2]), (140,240,[1_1|2]), (140,249,[1_1|2]), (140,258,[1_1|2]), (140,267,[3_1|2]), (140,276,[5_1|2]), (140,285,[2_1|2]), (140,294,[2_1|2]), (140,303,[1_1|2]), (140,312,[1_1|2]), (140,321,[5_1|2]), (140,330,[0_1|2]), (140,339,[0_1|2]), (140,348,[1_1|2]), (140,357,[2_1|2]), (140,366,[3_1|2]), (140,375,[2_1|2]), (140,384,[0_1|2]), (140,393,[2_1|2]), (140,402,[4_1|2]), (140,411,[4_1|2]), (140,420,[4_1|2]), (140,429,[4_1|2]), (140,438,[1_1|2]), (140,447,[1_1|2]), (140,456,[1_1|2]), (140,465,[4_1|2]), (140,474,[4_1|2]), (140,483,[1_1|2]), (140,492,[5_1|2]), (140,501,[0_1|2]), (140,510,[0_1|2]), (140,519,[0_1|2]), (140,528,[5_1|2]), (140,537,[5_1|2]), (140,546,[5_1|2]), (140,555,[0_1|2]), (140,564,[5_1|2]), (140,573,[1_1|2]), (140,582,[2_1|2]), (140,591,[2_1|2]), (140,600,[0_1|2]), (140,609,[0_1|2]), 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(158,141,[0_1|2]), (158,150,[0_1|2]), (158,159,[0_1|2]), (158,168,[0_1|2]), (159,160,[2_1|2]), (160,161,[2_1|2]), (161,162,[0_1|2]), (162,163,[1_1|2]), (163,164,[2_1|2]), (164,165,[5_1|2]), (165,166,[2_1|2]), (165,618,[3_1|2]), (166,167,[5_1|2]), (166,492,[5_1|2]), (167,140,[0_1|2]), (167,276,[0_1|2]), (167,321,[0_1|2]), (167,492,[0_1|2]), (167,528,[0_1|2]), (167,537,[0_1|2]), (167,546,[0_1|2]), (167,564,[0_1|2]), (167,268,[0_1|2]), (167,141,[0_1|2]), (167,150,[0_1|2]), (167,159,[0_1|2]), (167,168,[0_1|2]), (168,169,[4_1|2]), (169,170,[2_1|2]), (170,171,[4_1|2]), (171,172,[1_1|2]), (172,173,[3_1|2]), (173,174,[2_1|2]), (174,175,[0_1|2]), (175,176,[2_1|2]), (175,591,[2_1|2]), (176,140,[2_1|2]), (176,267,[2_1|2]), (176,366,[2_1|2]), (176,618,[2_1|2, 3_1|2]), (176,573,[1_1|2]), (176,582,[2_1|2]), (176,591,[2_1|2]), (176,600,[0_1|2]), (176,609,[0_1|2]), (177,178,[0_1|2]), (178,179,[0_1|2]), (179,180,[2_1|2]), (180,181,[2_1|2]), (181,182,[0_1|2]), (182,183,[5_1|2]), (183,184,[2_1|2]), 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(203,186,[2_1|2]), (203,285,[2_1|2]), (203,294,[2_1|2]), (203,357,[2_1|2]), (203,375,[2_1|2]), (203,393,[2_1|2]), (203,582,[2_1|2]), (203,591,[2_1|2]), (203,565,[2_1|2]), (203,573,[1_1|2]), (203,600,[0_1|2]), (203,609,[0_1|2]), (203,618,[3_1|2]), (204,205,[1_1|2]), (205,206,[0_1|2]), (206,207,[3_1|2]), (207,208,[0_1|2]), (208,209,[0_1|2]), (209,210,[0_1|2]), (210,211,[0_1|2]), (210,150,[0_1|2]), (210,627,[0_1|3]), (211,212,[3_1|2]), (211,267,[3_1|2]), (211,276,[5_1|2]), (211,285,[2_1|2]), (212,140,[4_1|2]), (212,402,[4_1|2]), (212,411,[4_1|2]), (212,420,[4_1|2]), (212,429,[4_1|2]), (212,465,[4_1|2]), (212,474,[4_1|2]), (212,322,[4_1|2]), (212,476,[4_1|2]), (212,393,[2_1|2]), (212,438,[1_1|2]), (212,447,[1_1|2]), (212,456,[1_1|2]), (212,483,[1_1|2]), (213,214,[4_1|2]), (214,215,[1_1|2]), (215,216,[4_1|2]), (216,217,[2_1|2]), (217,218,[1_1|2]), (218,219,[3_1|2]), (219,220,[0_1|2]), (220,221,[1_1|2]), (220,231,[1_1|2]), (221,140,[1_1|2]), (221,177,[1_1|2]), (221,195,[1_1|2]), (221,204,[1_1|2]), (221,213,[1_1|2]), (221,222,[1_1|2]), (221,231,[1_1|2]), (221,240,[1_1|2]), (221,249,[1_1|2]), (221,258,[1_1|2]), (221,303,[1_1|2]), (221,312,[1_1|2]), (221,348,[1_1|2]), (221,438,[1_1|2]), (221,447,[1_1|2]), (221,456,[1_1|2]), (221,483,[1_1|2]), (221,573,[1_1|2]), (221,187,[1_1|2]), (221,394,[1_1|2]), (221,583,[1_1|2]), (221,186,[2_1|2]), (222,223,[0_1|2]), (223,224,[2_1|2]), (224,225,[4_1|2]), (225,226,[5_1|2]), (226,227,[4_1|2]), (227,228,[2_1|2]), (228,229,[4_1|2]), (229,230,[2_1|2]), (230,140,[4_1|2]), (230,402,[4_1|2]), (230,411,[4_1|2]), (230,420,[4_1|2]), (230,429,[4_1|2]), (230,465,[4_1|2]), (230,474,[4_1|2]), (230,214,[4_1|2]), (230,250,[4_1|2]), (230,484,[4_1|2]), (230,393,[2_1|2]), (230,438,[1_1|2]), (230,447,[1_1|2]), (230,456,[1_1|2]), (230,483,[1_1|2]), (231,232,[1_1|2]), (232,233,[0_1|2]), (233,234,[0_1|2]), (234,235,[2_1|2]), (235,236,[2_1|2]), (236,237,[5_1|2]), (237,238,[2_1|2]), (238,239,[0_1|2]), (239,140,[0_1|2]), (239,276,[0_1|2]), (239,321,[0_1|2]), (239,492,[0_1|2]), (239,528,[0_1|2]), (239,537,[0_1|2]), (239,546,[0_1|2]), (239,564,[0_1|2]), (239,141,[0_1|2]), (239,150,[0_1|2]), (239,159,[0_1|2]), (239,168,[0_1|2]), (240,241,[2_1|2]), (241,242,[4_1|2]), (242,243,[2_1|2]), (243,244,[0_1|2]), (244,245,[2_1|2]), (245,246,[1_1|2]), (246,247,[0_1|2]), (247,248,[2_1|2]), (247,618,[3_1|2]), (248,140,[5_1|2]), (248,267,[5_1|2]), (248,366,[5_1|2]), (248,618,[5_1|2]), (248,492,[5_1|2]), (248,501,[0_1|2]), (248,510,[0_1|2]), (248,519,[0_1|2]), (248,528,[5_1|2]), (248,537,[5_1|2]), (248,546,[5_1|2]), (248,555,[0_1|2]), (248,564,[5_1|2]), (249,250,[4_1|2]), (250,251,[3_1|2]), (251,252,[2_1|2]), (252,253,[1_1|2]), (253,254,[0_1|2]), (254,255,[0_1|2]), (255,256,[2_1|2]), (256,257,[4_1|2]), (256,393,[2_1|2]), (256,402,[4_1|2]), (257,140,[3_1|2]), (257,267,[3_1|2]), (257,366,[3_1|2]), (257,618,[3_1|2]), (257,295,[3_1|2]), (257,276,[5_1|2]), (257,285,[2_1|2]), (257,294,[2_1|2]), (257,303,[1_1|2]), (257,312,[1_1|2]), (257,321,[5_1|2]), (257,330,[0_1|2]), (257,339,[0_1|2]), (257,348,[1_1|2]), (257,357,[2_1|2]), (257,375,[2_1|2]), (257,384,[0_1|2]), (258,259,[1_1|2]), (259,260,[1_1|2]), (260,261,[4_1|2]), (261,262,[5_1|2]), (262,263,[1_1|2]), (263,264,[2_1|2]), (264,265,[5_1|2]), (265,266,[2_1|2]), (266,140,[4_1|2]), (266,276,[4_1|2]), (266,321,[4_1|2]), (266,492,[4_1|2]), (266,528,[4_1|2]), (266,537,[4_1|2]), (266,546,[4_1|2]), (266,564,[4_1|2]), (266,286,[4_1|2]), (266,376,[4_1|2]), (266,393,[2_1|2]), (266,402,[4_1|2]), (266,411,[4_1|2]), (266,420,[4_1|2]), (266,429,[4_1|2]), (266,438,[1_1|2]), (266,447,[1_1|2]), (266,456,[1_1|2]), (266,465,[4_1|2]), (266,474,[4_1|2]), (266,483,[1_1|2]), (267,268,[5_1|2]), (268,269,[0_1|2]), (269,270,[2_1|2]), (270,271,[1_1|2]), (271,272,[1_1|2]), (272,273,[1_1|2]), (273,274,[2_1|2]), (274,275,[1_1|2]), (275,140,[4_1|2]), (275,402,[4_1|2]), (275,411,[4_1|2]), (275,420,[4_1|2]), (275,429,[4_1|2]), (275,465,[4_1|2]), (275,474,[4_1|2]), (275,393,[2_1|2]), 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(581,573,[1_1|2]), (581,582,[2_1|2]), (581,591,[2_1|2]), (581,600,[0_1|2]), (581,609,[0_1|2]), (581,618,[3_1|2]), (582,583,[1_1|2]), (583,584,[4_1|2]), (584,585,[1_1|2]), (585,586,[5_1|2]), (586,587,[1_1|2]), (587,588,[1_1|2]), (588,589,[1_1|2]), (589,590,[1_1|2]), (589,231,[1_1|2]), (590,140,[1_1|2]), (590,267,[1_1|2]), (590,366,[1_1|2]), (590,618,[1_1|2]), (590,177,[1_1|2]), (590,186,[2_1|2]), (590,195,[1_1|2]), (590,204,[1_1|2]), (590,213,[1_1|2]), (590,222,[1_1|2]), (590,231,[1_1|2]), (590,240,[1_1|2]), (590,249,[1_1|2]), (590,258,[1_1|2]), (591,592,[0_1|2]), (592,593,[1_1|2]), (593,594,[4_1|2]), (594,595,[0_1|2]), (595,596,[0_1|2]), (596,597,[2_1|2]), (597,598,[0_1|2]), (598,599,[0_1|2]), (599,140,[0_1|2]), (599,276,[0_1|2]), (599,321,[0_1|2]), (599,492,[0_1|2]), (599,528,[0_1|2]), (599,537,[0_1|2]), (599,546,[0_1|2]), (599,564,[0_1|2]), (599,466,[0_1|2]), (599,475,[0_1|2]), (599,141,[0_1|2]), (599,150,[0_1|2]), (599,159,[0_1|2]), (599,168,[0_1|2]), (600,601,[0_1|2]), (601,602,[1_1|2]), (602,603,[1_1|2]), (603,604,[5_1|2]), (604,605,[2_1|2]), (605,606,[4_1|2]), (606,607,[1_1|2]), (607,608,[1_1|2]), (608,140,[4_1|2]), (608,402,[4_1|2]), (608,411,[4_1|2]), (608,420,[4_1|2]), (608,429,[4_1|2]), (608,465,[4_1|2]), (608,474,[4_1|2]), (608,393,[2_1|2]), (608,438,[1_1|2]), (608,447,[1_1|2]), (608,456,[1_1|2]), (608,483,[1_1|2]), (609,610,[0_1|2]), (610,611,[2_1|2]), (611,612,[4_1|2]), (612,613,[4_1|2]), (613,614,[2_1|2]), (614,615,[0_1|2]), (615,616,[4_1|2]), (615,411,[4_1|2]), (615,420,[4_1|2]), (616,617,[1_1|2]), (616,240,[1_1|2]), (616,249,[1_1|2]), (616,258,[1_1|2]), (617,140,[3_1|2]), (617,276,[3_1|2, 5_1|2]), (617,321,[3_1|2, 5_1|2]), (617,492,[3_1|2]), (617,528,[3_1|2]), (617,537,[3_1|2]), (617,546,[3_1|2]), (617,564,[3_1|2]), (617,267,[3_1|2]), (617,285,[2_1|2]), (617,294,[2_1|2]), (617,303,[1_1|2]), (617,312,[1_1|2]), (617,330,[0_1|2]), (617,339,[0_1|2]), (617,348,[1_1|2]), (617,357,[2_1|2]), (617,366,[3_1|2]), (617,375,[2_1|2]), (617,384,[0_1|2]), (618,619,[0_1|2]), (619,620,[1_1|2]), (620,621,[4_1|2]), (621,622,[4_1|2]), (622,623,[0_1|2]), (623,624,[0_1|2]), (624,625,[0_1|2]), (625,626,[0_1|2]), (625,141,[0_1|2]), (625,636,[0_1|3]), (626,140,[1_1|2]), (626,177,[1_1|2]), (626,195,[1_1|2]), (626,204,[1_1|2]), (626,213,[1_1|2]), (626,222,[1_1|2]), (626,231,[1_1|2]), (626,240,[1_1|2]), (626,249,[1_1|2]), (626,258,[1_1|2]), (626,303,[1_1|2]), (626,312,[1_1|2]), (626,348,[1_1|2]), (626,438,[1_1|2]), (626,447,[1_1|2]), (626,456,[1_1|2]), (626,483,[1_1|2]), (626,573,[1_1|2]), (626,277,[1_1|2]), (626,529,[1_1|2]), (626,538,[1_1|2]), (626,547,[1_1|2]), (626,186,[2_1|2]), (627,628,[0_1|3]), (628,629,[0_1|3]), (629,630,[3_1|3]), (630,631,[1_1|3]), (631,632,[1_1|3]), (632,633,[4_1|3]), (633,634,[2_1|3]), (634,635,[2_1|3]), (635,402,[0_1|3]), (635,411,[0_1|3]), (635,420,[0_1|3]), (635,429,[0_1|3]), (635,465,[0_1|3]), (635,474,[0_1|3]), (635,403,[0_1|3]), (635,421,[0_1|3]), (636,637,[1_1|3]), (637,638,[1_1|3]), (638,639,[1_1|3]), (639,640,[0_1|3]), (640,641,[0_1|3]), (641,642,[1_1|3]), (642,643,[2_1|3]), (643,644,[2_1|3]), (644,142,[2_1|3]), (644,385,[2_1|3]), (645,646,[1_1|3]), (646,647,[1_1|3]), (647,648,[1_1|3]), (648,649,[0_1|3]), (649,650,[0_1|3]), (650,651,[1_1|3]), (651,652,[2_1|3]), (652,653,[2_1|3]), (653,573,[2_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)