/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 66 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 172 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(3(4(x1))) -> 3(1(2(1(2(1(1(3(5(4(x1)))))))))) 3(2(5(x1))) -> 2(2(5(3(3(2(2(1(1(2(x1)))))))))) 4(1(0(x1))) -> 1(2(0(2(4(4(4(4(4(4(x1)))))))))) 0(0(5(0(x1)))) -> 0(0(2(2(2(3(3(3(1(1(x1)))))))))) 0(3(2(0(x1)))) -> 3(4(1(2(3(2(4(0(1(1(x1)))))))))) 3(4(0(5(x1)))) -> 2(1(1(0(1(1(4(5(4(2(x1)))))))))) 4(5(5(4(x1)))) -> 1(3(0(4(1(4(2(2(2(2(x1)))))))))) 5(0(5(0(x1)))) -> 5(2(4(2(5(2(2(3(2(4(x1)))))))))) 0(3(4(3(4(x1))))) -> 2(1(0(4(2(3(5(3(3(4(x1)))))))))) 3(4(4(5(0(x1))))) -> 2(2(1(1(3(5(1(2(2(0(x1)))))))))) 4(3(0(0(2(x1))))) -> 2(1(1(0(1(1(0(0(2(1(x1)))))))))) 4(3(3(2(5(x1))))) -> 1(1(1(4(2(5(2(1(4(5(x1)))))))))) 4(5(1(5(4(x1))))) -> 1(3(5(5(2(1(1(5(2(2(x1)))))))))) 5(4(5(1(0(x1))))) -> 2(1(1(5(3(1(4(2(1(0(x1)))))))))) 5(5(1(3(5(x1))))) -> 1(1(4(1(1(4(2(0(2(2(x1)))))))))) 0(0(5(0(3(1(x1)))))) -> 0(0(4(1(1(4(5(2(3(1(x1)))))))))) 0(3(5(0(5(1(x1)))))) -> 5(1(2(5(2(2(3(2(4(0(x1)))))))))) 0(5(1(0(3(5(x1)))))) -> 2(1(3(2(2(5(1(1(3(5(x1)))))))))) 0(5(5(4(5(1(x1)))))) -> 5(5(2(0(1(1(1(2(0(1(x1)))))))))) 3(0(3(4(2(5(x1)))))) -> 1(1(5(5(5(1(2(2(2(2(x1)))))))))) 3(5(2(5(3(1(x1)))))) -> 3(0(1(1(4(1(4(0(1(1(x1)))))))))) 5(0(3(3(2(5(x1)))))) -> 2(0(1(3(0(4(3(5(1(1(x1)))))))))) 5(4(0(3(4(3(x1)))))) -> 5(3(1(4(3(2(2(1(4(3(x1)))))))))) 5(4(1(0(0(0(x1)))))) -> 3(5(2(2(1(2(2(4(3(2(x1)))))))))) 5(4(5(3(3(0(x1)))))) -> 5(0(4(3(0(1(1(1(3(0(x1)))))))))) 5(4(5(4(5(4(x1)))))) -> 1(0(0(3(0(1(1(2(1(4(x1)))))))))) 5(5(0(4(5(4(x1)))))) -> 5(3(4(4(3(5(1(1(2(5(x1)))))))))) 0(2(0(0(5(4(5(x1))))))) -> 0(2(1(2(1(4(0(4(4(5(x1)))))))))) 0(2(0(2(5(0(5(x1))))))) -> 2(5(3(1(0(4(2(5(1(1(x1)))))))))) 0(3(0(0(3(5(0(x1))))))) -> 0(3(2(4(2(2(2(5(2(0(x1)))))))))) 0(3(4(4(0(1(5(x1))))))) -> 2(4(2(4(0(4(3(2(1(2(x1)))))))))) 0(5(5(4(4(0(5(x1))))))) -> 2(1(1(5(0(5(0(4(4(5(x1)))))))))) 1(2(0(3(2(3(3(x1))))))) -> 1(2(4(3(3(5(4(1(1(3(x1)))))))))) 1(3(4(0(0(5(4(x1))))))) -> 1(0(4(2(0(4(4(5(2(4(x1)))))))))) 3(3(0(0(4(0(2(x1))))))) -> 4(1(1(5(0(1(2(5(5(1(x1)))))))))) 3(5(0(5(5(5(4(x1))))))) -> 2(4(4(4(5(4(1(3(3(2(x1)))))))))) 4(0(0(4(5(4(0(x1))))))) -> 4(3(1(2(1(3(4(0(3(1(x1)))))))))) 4(0(4(0(5(4(5(x1))))))) -> 1(5(1(5(5(1(5(5(1(1(x1)))))))))) 4(3(0(5(2(2(4(x1))))))) -> 1(2(4(1(2(0(0(4(1(4(x1)))))))))) 4(3(4(4(3(3(5(x1))))))) -> 2(3(5(3(5(1(4(5(3(5(x1)))))))))) 5(0(1(3(3(2(0(x1))))))) -> 5(2(1(3(5(1(5(1(1(1(x1)))))))))) 5(0(5(0(5(0(3(x1))))))) -> 0(1(5(0(1(2(3(4(4(3(x1)))))))))) 5(1(0(0(1(3(4(x1))))))) -> 5(5(3(2(4(1(2(3(3(4(x1)))))))))) 5(2(0(3(0(2(4(x1))))))) -> 0(2(3(5(5(1(2(0(1(4(x1)))))))))) 5(3(0(0(0(5(4(x1))))))) -> 5(1(1(5(3(2(4(4(0(0(x1)))))))))) 5(4(3(3(0(5(3(x1))))))) -> 5(1(1(3(5(4(3(5(1(3(x1)))))))))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(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(3(4(x1))) -> 3(1(2(1(2(1(1(3(5(4(x1)))))))))) 3(2(5(x1))) -> 2(2(5(3(3(2(2(1(1(2(x1)))))))))) 4(1(0(x1))) -> 1(2(0(2(4(4(4(4(4(4(x1)))))))))) 0(0(5(0(x1)))) -> 0(0(2(2(2(3(3(3(1(1(x1)))))))))) 0(3(2(0(x1)))) -> 3(4(1(2(3(2(4(0(1(1(x1)))))))))) 3(4(0(5(x1)))) -> 2(1(1(0(1(1(4(5(4(2(x1)))))))))) 4(5(5(4(x1)))) -> 1(3(0(4(1(4(2(2(2(2(x1)))))))))) 5(0(5(0(x1)))) -> 5(2(4(2(5(2(2(3(2(4(x1)))))))))) 0(3(4(3(4(x1))))) -> 2(1(0(4(2(3(5(3(3(4(x1)))))))))) 3(4(4(5(0(x1))))) -> 2(2(1(1(3(5(1(2(2(0(x1)))))))))) 4(3(0(0(2(x1))))) -> 2(1(1(0(1(1(0(0(2(1(x1)))))))))) 4(3(3(2(5(x1))))) -> 1(1(1(4(2(5(2(1(4(5(x1)))))))))) 4(5(1(5(4(x1))))) -> 1(3(5(5(2(1(1(5(2(2(x1)))))))))) 5(4(5(1(0(x1))))) -> 2(1(1(5(3(1(4(2(1(0(x1)))))))))) 5(5(1(3(5(x1))))) -> 1(1(4(1(1(4(2(0(2(2(x1)))))))))) 0(0(5(0(3(1(x1)))))) -> 0(0(4(1(1(4(5(2(3(1(x1)))))))))) 0(3(5(0(5(1(x1)))))) -> 5(1(2(5(2(2(3(2(4(0(x1)))))))))) 0(5(1(0(3(5(x1)))))) -> 2(1(3(2(2(5(1(1(3(5(x1)))))))))) 0(5(5(4(5(1(x1)))))) -> 5(5(2(0(1(1(1(2(0(1(x1)))))))))) 3(0(3(4(2(5(x1)))))) -> 1(1(5(5(5(1(2(2(2(2(x1)))))))))) 3(5(2(5(3(1(x1)))))) -> 3(0(1(1(4(1(4(0(1(1(x1)))))))))) 5(0(3(3(2(5(x1)))))) -> 2(0(1(3(0(4(3(5(1(1(x1)))))))))) 5(4(0(3(4(3(x1)))))) -> 5(3(1(4(3(2(2(1(4(3(x1)))))))))) 5(4(1(0(0(0(x1)))))) -> 3(5(2(2(1(2(2(4(3(2(x1)))))))))) 5(4(5(3(3(0(x1)))))) -> 5(0(4(3(0(1(1(1(3(0(x1)))))))))) 5(4(5(4(5(4(x1)))))) -> 1(0(0(3(0(1(1(2(1(4(x1)))))))))) 5(5(0(4(5(4(x1)))))) -> 5(3(4(4(3(5(1(1(2(5(x1)))))))))) 0(2(0(0(5(4(5(x1))))))) -> 0(2(1(2(1(4(0(4(4(5(x1)))))))))) 0(2(0(2(5(0(5(x1))))))) -> 2(5(3(1(0(4(2(5(1(1(x1)))))))))) 0(3(0(0(3(5(0(x1))))))) -> 0(3(2(4(2(2(2(5(2(0(x1)))))))))) 0(3(4(4(0(1(5(x1))))))) -> 2(4(2(4(0(4(3(2(1(2(x1)))))))))) 0(5(5(4(4(0(5(x1))))))) -> 2(1(1(5(0(5(0(4(4(5(x1)))))))))) 1(2(0(3(2(3(3(x1))))))) -> 1(2(4(3(3(5(4(1(1(3(x1)))))))))) 1(3(4(0(0(5(4(x1))))))) -> 1(0(4(2(0(4(4(5(2(4(x1)))))))))) 3(3(0(0(4(0(2(x1))))))) -> 4(1(1(5(0(1(2(5(5(1(x1)))))))))) 3(5(0(5(5(5(4(x1))))))) -> 2(4(4(4(5(4(1(3(3(2(x1)))))))))) 4(0(0(4(5(4(0(x1))))))) -> 4(3(1(2(1(3(4(0(3(1(x1)))))))))) 4(0(4(0(5(4(5(x1))))))) -> 1(5(1(5(5(1(5(5(1(1(x1)))))))))) 4(3(0(5(2(2(4(x1))))))) -> 1(2(4(1(2(0(0(4(1(4(x1)))))))))) 4(3(4(4(3(3(5(x1))))))) -> 2(3(5(3(5(1(4(5(3(5(x1)))))))))) 5(0(1(3(3(2(0(x1))))))) -> 5(2(1(3(5(1(5(1(1(1(x1)))))))))) 5(0(5(0(5(0(3(x1))))))) -> 0(1(5(0(1(2(3(4(4(3(x1)))))))))) 5(1(0(0(1(3(4(x1))))))) -> 5(5(3(2(4(1(2(3(3(4(x1)))))))))) 5(2(0(3(0(2(4(x1))))))) -> 0(2(3(5(5(1(2(0(1(4(x1)))))))))) 5(3(0(0(0(5(4(x1))))))) -> 5(1(1(5(3(2(4(4(0(0(x1)))))))))) 5(4(3(3(0(5(3(x1))))))) -> 5(1(1(3(5(4(3(5(1(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(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(3(4(x1))) -> 3(1(2(1(2(1(1(3(5(4(x1)))))))))) 3(2(5(x1))) -> 2(2(5(3(3(2(2(1(1(2(x1)))))))))) 4(1(0(x1))) -> 1(2(0(2(4(4(4(4(4(4(x1)))))))))) 0(0(5(0(x1)))) -> 0(0(2(2(2(3(3(3(1(1(x1)))))))))) 0(3(2(0(x1)))) -> 3(4(1(2(3(2(4(0(1(1(x1)))))))))) 3(4(0(5(x1)))) -> 2(1(1(0(1(1(4(5(4(2(x1)))))))))) 4(5(5(4(x1)))) -> 1(3(0(4(1(4(2(2(2(2(x1)))))))))) 5(0(5(0(x1)))) -> 5(2(4(2(5(2(2(3(2(4(x1)))))))))) 0(3(4(3(4(x1))))) -> 2(1(0(4(2(3(5(3(3(4(x1)))))))))) 3(4(4(5(0(x1))))) -> 2(2(1(1(3(5(1(2(2(0(x1)))))))))) 4(3(0(0(2(x1))))) -> 2(1(1(0(1(1(0(0(2(1(x1)))))))))) 4(3(3(2(5(x1))))) -> 1(1(1(4(2(5(2(1(4(5(x1)))))))))) 4(5(1(5(4(x1))))) -> 1(3(5(5(2(1(1(5(2(2(x1)))))))))) 5(4(5(1(0(x1))))) -> 2(1(1(5(3(1(4(2(1(0(x1)))))))))) 5(5(1(3(5(x1))))) -> 1(1(4(1(1(4(2(0(2(2(x1)))))))))) 0(0(5(0(3(1(x1)))))) -> 0(0(4(1(1(4(5(2(3(1(x1)))))))))) 0(3(5(0(5(1(x1)))))) -> 5(1(2(5(2(2(3(2(4(0(x1)))))))))) 0(5(1(0(3(5(x1)))))) -> 2(1(3(2(2(5(1(1(3(5(x1)))))))))) 0(5(5(4(5(1(x1)))))) -> 5(5(2(0(1(1(1(2(0(1(x1)))))))))) 3(0(3(4(2(5(x1)))))) -> 1(1(5(5(5(1(2(2(2(2(x1)))))))))) 3(5(2(5(3(1(x1)))))) -> 3(0(1(1(4(1(4(0(1(1(x1)))))))))) 5(0(3(3(2(5(x1)))))) -> 2(0(1(3(0(4(3(5(1(1(x1)))))))))) 5(4(0(3(4(3(x1)))))) -> 5(3(1(4(3(2(2(1(4(3(x1)))))))))) 5(4(1(0(0(0(x1)))))) -> 3(5(2(2(1(2(2(4(3(2(x1)))))))))) 5(4(5(3(3(0(x1)))))) -> 5(0(4(3(0(1(1(1(3(0(x1)))))))))) 5(4(5(4(5(4(x1)))))) -> 1(0(0(3(0(1(1(2(1(4(x1)))))))))) 5(5(0(4(5(4(x1)))))) -> 5(3(4(4(3(5(1(1(2(5(x1)))))))))) 0(2(0(0(5(4(5(x1))))))) -> 0(2(1(2(1(4(0(4(4(5(x1)))))))))) 0(2(0(2(5(0(5(x1))))))) -> 2(5(3(1(0(4(2(5(1(1(x1)))))))))) 0(3(0(0(3(5(0(x1))))))) -> 0(3(2(4(2(2(2(5(2(0(x1)))))))))) 0(3(4(4(0(1(5(x1))))))) -> 2(4(2(4(0(4(3(2(1(2(x1)))))))))) 0(5(5(4(4(0(5(x1))))))) -> 2(1(1(5(0(5(0(4(4(5(x1)))))))))) 1(2(0(3(2(3(3(x1))))))) -> 1(2(4(3(3(5(4(1(1(3(x1)))))))))) 1(3(4(0(0(5(4(x1))))))) -> 1(0(4(2(0(4(4(5(2(4(x1)))))))))) 3(3(0(0(4(0(2(x1))))))) -> 4(1(1(5(0(1(2(5(5(1(x1)))))))))) 3(5(0(5(5(5(4(x1))))))) -> 2(4(4(4(5(4(1(3(3(2(x1)))))))))) 4(0(0(4(5(4(0(x1))))))) -> 4(3(1(2(1(3(4(0(3(1(x1)))))))))) 4(0(4(0(5(4(5(x1))))))) -> 1(5(1(5(5(1(5(5(1(1(x1)))))))))) 4(3(0(5(2(2(4(x1))))))) -> 1(2(4(1(2(0(0(4(1(4(x1)))))))))) 4(3(4(4(3(3(5(x1))))))) -> 2(3(5(3(5(1(4(5(3(5(x1)))))))))) 5(0(1(3(3(2(0(x1))))))) -> 5(2(1(3(5(1(5(1(1(1(x1)))))))))) 5(0(5(0(5(0(3(x1))))))) -> 0(1(5(0(1(2(3(4(4(3(x1)))))))))) 5(1(0(0(1(3(4(x1))))))) -> 5(5(3(2(4(1(2(3(3(4(x1)))))))))) 5(2(0(3(0(2(4(x1))))))) -> 0(2(3(5(5(1(2(0(1(4(x1)))))))))) 5(3(0(0(0(5(4(x1))))))) -> 5(1(1(5(3(2(4(4(0(0(x1)))))))))) 5(4(3(3(0(5(3(x1))))))) -> 5(1(1(3(5(4(3(5(1(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(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(3(4(x1))) -> 3(1(2(1(2(1(1(3(5(4(x1)))))))))) 3(2(5(x1))) -> 2(2(5(3(3(2(2(1(1(2(x1)))))))))) 4(1(0(x1))) -> 1(2(0(2(4(4(4(4(4(4(x1)))))))))) 0(0(5(0(x1)))) -> 0(0(2(2(2(3(3(3(1(1(x1)))))))))) 0(3(2(0(x1)))) -> 3(4(1(2(3(2(4(0(1(1(x1)))))))))) 3(4(0(5(x1)))) -> 2(1(1(0(1(1(4(5(4(2(x1)))))))))) 4(5(5(4(x1)))) -> 1(3(0(4(1(4(2(2(2(2(x1)))))))))) 5(0(5(0(x1)))) -> 5(2(4(2(5(2(2(3(2(4(x1)))))))))) 0(3(4(3(4(x1))))) -> 2(1(0(4(2(3(5(3(3(4(x1)))))))))) 3(4(4(5(0(x1))))) -> 2(2(1(1(3(5(1(2(2(0(x1)))))))))) 4(3(0(0(2(x1))))) -> 2(1(1(0(1(1(0(0(2(1(x1)))))))))) 4(3(3(2(5(x1))))) -> 1(1(1(4(2(5(2(1(4(5(x1)))))))))) 4(5(1(5(4(x1))))) -> 1(3(5(5(2(1(1(5(2(2(x1)))))))))) 5(4(5(1(0(x1))))) -> 2(1(1(5(3(1(4(2(1(0(x1)))))))))) 5(5(1(3(5(x1))))) -> 1(1(4(1(1(4(2(0(2(2(x1)))))))))) 0(0(5(0(3(1(x1)))))) -> 0(0(4(1(1(4(5(2(3(1(x1)))))))))) 0(3(5(0(5(1(x1)))))) -> 5(1(2(5(2(2(3(2(4(0(x1)))))))))) 0(5(1(0(3(5(x1)))))) -> 2(1(3(2(2(5(1(1(3(5(x1)))))))))) 0(5(5(4(5(1(x1)))))) -> 5(5(2(0(1(1(1(2(0(1(x1)))))))))) 3(0(3(4(2(5(x1)))))) -> 1(1(5(5(5(1(2(2(2(2(x1)))))))))) 3(5(2(5(3(1(x1)))))) -> 3(0(1(1(4(1(4(0(1(1(x1)))))))))) 5(0(3(3(2(5(x1)))))) -> 2(0(1(3(0(4(3(5(1(1(x1)))))))))) 5(4(0(3(4(3(x1)))))) -> 5(3(1(4(3(2(2(1(4(3(x1)))))))))) 5(4(1(0(0(0(x1)))))) -> 3(5(2(2(1(2(2(4(3(2(x1)))))))))) 5(4(5(3(3(0(x1)))))) -> 5(0(4(3(0(1(1(1(3(0(x1)))))))))) 5(4(5(4(5(4(x1)))))) -> 1(0(0(3(0(1(1(2(1(4(x1)))))))))) 5(5(0(4(5(4(x1)))))) -> 5(3(4(4(3(5(1(1(2(5(x1)))))))))) 0(2(0(0(5(4(5(x1))))))) -> 0(2(1(2(1(4(0(4(4(5(x1)))))))))) 0(2(0(2(5(0(5(x1))))))) -> 2(5(3(1(0(4(2(5(1(1(x1)))))))))) 0(3(0(0(3(5(0(x1))))))) -> 0(3(2(4(2(2(2(5(2(0(x1)))))))))) 0(3(4(4(0(1(5(x1))))))) -> 2(4(2(4(0(4(3(2(1(2(x1)))))))))) 0(5(5(4(4(0(5(x1))))))) -> 2(1(1(5(0(5(0(4(4(5(x1)))))))))) 1(2(0(3(2(3(3(x1))))))) -> 1(2(4(3(3(5(4(1(1(3(x1)))))))))) 1(3(4(0(0(5(4(x1))))))) -> 1(0(4(2(0(4(4(5(2(4(x1)))))))))) 3(3(0(0(4(0(2(x1))))))) -> 4(1(1(5(0(1(2(5(5(1(x1)))))))))) 3(5(0(5(5(5(4(x1))))))) -> 2(4(4(4(5(4(1(3(3(2(x1)))))))))) 4(0(0(4(5(4(0(x1))))))) -> 4(3(1(2(1(3(4(0(3(1(x1)))))))))) 4(0(4(0(5(4(5(x1))))))) -> 1(5(1(5(5(1(5(5(1(1(x1)))))))))) 4(3(0(5(2(2(4(x1))))))) -> 1(2(4(1(2(0(0(4(1(4(x1)))))))))) 4(3(4(4(3(3(5(x1))))))) -> 2(3(5(3(5(1(4(5(3(5(x1)))))))))) 5(0(1(3(3(2(0(x1))))))) -> 5(2(1(3(5(1(5(1(1(1(x1)))))))))) 5(0(5(0(5(0(3(x1))))))) -> 0(1(5(0(1(2(3(4(4(3(x1)))))))))) 5(1(0(0(1(3(4(x1))))))) -> 5(5(3(2(4(1(2(3(3(4(x1)))))))))) 5(2(0(3(0(2(4(x1))))))) -> 0(2(3(5(5(1(2(0(1(4(x1)))))))))) 5(3(0(0(0(5(4(x1))))))) -> 5(1(1(5(3(2(4(4(0(0(x1)))))))))) 5(4(3(3(0(5(3(x1))))))) -> 5(1(1(3(5(4(3(5(1(3(x1)))))))))) encArg(2(x_1)) -> 2(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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_1(x_1)) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(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. "[79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576] {(79,80,[0_1|0, 3_1|0, 4_1|0, 5_1|0, 1_1|0, encArg_1|0, encode_0_1|0, encode_3_1|0, encode_4_1|0, encode_1_1|0, encode_2_1|0, encode_5_1|0]), (79,81,[2_1|1, 0_1|1, 3_1|1, 4_1|1, 5_1|1, 1_1|1]), (79,82,[3_1|2]), (79,91,[2_1|2]), (79,100,[2_1|2]), (79,109,[3_1|2]), (79,118,[5_1|2]), (79,127,[0_1|2]), (79,136,[0_1|2]), (79,145,[0_1|2]), (79,154,[2_1|2]), (79,163,[5_1|2]), (79,172,[2_1|2]), (79,181,[0_1|2]), (79,190,[2_1|2]), (79,199,[2_1|2]), (79,208,[2_1|2]), (79,217,[2_1|2]), (79,226,[1_1|2]), (79,235,[3_1|2]), 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(315,397,[1_1|2]), (315,415,[3_1|2]), (315,433,[1_1|2]), (315,460,[0_1|2]), (316,317,[3_1|2]), (317,318,[5_1|2]), (318,319,[3_1|2]), (319,320,[5_1|2]), (320,321,[1_1|2]), (321,322,[4_1|2]), (322,323,[5_1|2]), (323,324,[3_1|2]), (323,235,[3_1|2]), (323,244,[2_1|2]), (323,514,[3_1|3]), (324,81,[5_1|2]), (324,118,[5_1|2]), (324,163,[5_1|2]), (324,343,[5_1|2]), (324,370,[5_1|2]), (324,388,[5_1|2]), (324,406,[5_1|2]), (324,424,[5_1|2]), (324,442,[5_1|2]), (324,451,[5_1|2]), (324,469,[5_1|2]), (324,416,[5_1|2]), (324,352,[0_1|2]), (324,361,[2_1|2]), (324,379,[2_1|2]), (324,397,[1_1|2]), (324,415,[3_1|2]), (324,433,[1_1|2]), (324,460,[0_1|2]), (325,326,[3_1|2]), (326,327,[1_1|2]), (327,328,[2_1|2]), (328,329,[1_1|2]), (329,330,[3_1|2]), (330,331,[4_1|2]), (331,332,[0_1|2]), (332,333,[3_1|2]), (333,81,[1_1|2]), (333,127,[1_1|2]), (333,136,[1_1|2]), (333,145,[1_1|2]), (333,181,[1_1|2]), (333,352,[1_1|2]), (333,460,[1_1|2]), (333,478,[1_1|2]), (333,487,[1_1|2]), (334,335,[5_1|2]), (335,336,[1_1|2]), (336,337,[5_1|2]), (337,338,[5_1|2]), (338,339,[1_1|2]), (339,340,[5_1|2]), (340,341,[5_1|2]), (341,342,[1_1|2]), (342,81,[1_1|2]), (342,118,[1_1|2]), (342,163,[1_1|2]), (342,343,[1_1|2]), (342,370,[1_1|2]), (342,388,[1_1|2]), (342,406,[1_1|2]), (342,424,[1_1|2]), (342,442,[1_1|2]), (342,451,[1_1|2]), (342,469,[1_1|2]), (342,478,[1_1|2]), (342,487,[1_1|2]), (343,344,[2_1|2]), (344,345,[4_1|2]), (345,346,[2_1|2]), (346,347,[5_1|2]), (347,348,[2_1|2]), (348,349,[2_1|2]), (349,350,[3_1|2]), (350,351,[2_1|2]), (351,81,[4_1|2]), (351,127,[4_1|2]), (351,136,[4_1|2]), (351,145,[4_1|2]), (351,181,[4_1|2]), (351,352,[4_1|2]), (351,460,[4_1|2]), (351,389,[4_1|2]), (351,262,[1_1|2]), (351,271,[1_1|2]), (351,280,[1_1|2]), (351,289,[2_1|2]), (351,298,[1_1|2]), (351,307,[1_1|2]), (351,316,[2_1|2]), (351,325,[4_1|2]), (351,334,[1_1|2]), (351,496,[1_1|3]), (352,353,[1_1|2]), (353,354,[5_1|2]), (354,355,[0_1|2]), (355,356,[1_1|2]), (356,357,[2_1|2]), (357,358,[3_1|2]), (358,359,[4_1|2]), (359,360,[4_1|2]), (359,289,[2_1|2]), (359,298,[1_1|2]), (359,307,[1_1|2]), (359,316,[2_1|2]), (359,550,[2_1|3]), (360,81,[3_1|2]), (360,82,[3_1|2]), (360,109,[3_1|2]), (360,235,[3_1|2]), (360,415,[3_1|2]), (360,128,[3_1|2]), (360,199,[2_1|2]), (360,208,[2_1|2]), (360,217,[2_1|2]), (360,226,[1_1|2]), (360,244,[2_1|2]), (360,253,[4_1|2]), (360,559,[2_1|3]), (361,362,[0_1|2]), (362,363,[1_1|2]), (363,364,[3_1|2]), (364,365,[0_1|2]), (365,366,[4_1|2]), (366,367,[3_1|2]), (367,368,[5_1|2]), (368,369,[1_1|2]), (369,81,[1_1|2]), (369,118,[1_1|2]), (369,163,[1_1|2]), (369,343,[1_1|2]), (369,370,[1_1|2]), (369,388,[1_1|2]), (369,406,[1_1|2]), (369,424,[1_1|2]), (369,442,[1_1|2]), (369,451,[1_1|2]), (369,469,[1_1|2]), (369,191,[1_1|2]), (369,478,[1_1|2]), (369,487,[1_1|2]), (370,371,[2_1|2]), (371,372,[1_1|2]), (372,373,[3_1|2]), (373,374,[5_1|2]), (374,375,[1_1|2]), (375,376,[5_1|2]), (376,377,[1_1|2]), (377,378,[1_1|2]), (378,81,[1_1|2]), (378,127,[1_1|2]), (378,136,[1_1|2]), (378,145,[1_1|2]), (378,181,[1_1|2]), (378,352,[1_1|2]), (378,460,[1_1|2]), (378,362,[1_1|2]), (378,478,[1_1|2]), (378,487,[1_1|2]), (379,380,[1_1|2]), (380,381,[1_1|2]), (381,382,[5_1|2]), (382,383,[3_1|2]), (383,384,[1_1|2]), (384,385,[4_1|2]), (385,386,[2_1|2]), (386,387,[1_1|2]), (387,81,[0_1|2]), (387,127,[0_1|2]), (387,136,[0_1|2]), (387,145,[0_1|2]), (387,181,[0_1|2]), (387,352,[0_1|2]), (387,460,[0_1|2]), (387,398,[0_1|2]), (387,488,[0_1|2]), (387,82,[3_1|2]), (387,91,[2_1|2]), (387,100,[2_1|2]), (387,109,[3_1|2]), (387,118,[5_1|2]), (387,154,[2_1|2]), (387,163,[5_1|2]), (387,172,[2_1|2]), (387,190,[2_1|2]), (387,505,[3_1|3]), (388,389,[0_1|2]), (389,390,[4_1|2]), (390,391,[3_1|2]), (391,392,[0_1|2]), (392,393,[1_1|2]), (393,394,[1_1|2]), (394,395,[1_1|2]), (395,396,[3_1|2]), (395,226,[1_1|2]), (395,559,[2_1|3]), (396,81,[0_1|2]), (396,127,[0_1|2]), (396,136,[0_1|2]), (396,145,[0_1|2]), (396,181,[0_1|2]), (396,352,[0_1|2]), (396,460,[0_1|2]), (396,236,[0_1|2]), (396,82,[3_1|2]), (396,91,[2_1|2]), (396,100,[2_1|2]), (396,109,[3_1|2]), (396,118,[5_1|2]), (396,154,[2_1|2]), (396,163,[5_1|2]), (396,172,[2_1|2]), (396,190,[2_1|2]), (396,505,[3_1|3]), (397,398,[0_1|2]), (398,399,[0_1|2]), (399,400,[3_1|2]), (400,401,[0_1|2]), (401,402,[1_1|2]), (402,403,[1_1|2]), (403,404,[2_1|2]), (404,405,[1_1|2]), (405,81,[4_1|2]), (405,253,[4_1|2]), (405,325,[4_1|2]), (405,262,[1_1|2]), (405,271,[1_1|2]), (405,280,[1_1|2]), (405,289,[2_1|2]), (405,298,[1_1|2]), (405,307,[1_1|2]), (405,316,[2_1|2]), (405,334,[1_1|2]), (405,496,[1_1|3]), (406,407,[3_1|2]), (407,408,[1_1|2]), (408,409,[4_1|2]), (409,410,[3_1|2]), (410,411,[2_1|2]), (411,412,[2_1|2]), (412,413,[1_1|2]), (413,414,[4_1|2]), (413,289,[2_1|2]), (413,298,[1_1|2]), (413,307,[1_1|2]), (413,316,[2_1|2]), (413,550,[2_1|3]), (414,81,[3_1|2]), (414,82,[3_1|2]), (414,109,[3_1|2]), (414,235,[3_1|2]), (414,415,[3_1|2]), (414,326,[3_1|2]), (414,199,[2_1|2]), (414,208,[2_1|2]), (414,217,[2_1|2]), (414,226,[1_1|2]), (414,244,[2_1|2]), (414,253,[4_1|2]), (414,559,[2_1|3]), (415,416,[5_1|2]), (416,417,[2_1|2]), (417,418,[2_1|2]), (418,419,[1_1|2]), (419,420,[2_1|2]), (420,421,[2_1|2]), (421,422,[4_1|2]), (422,423,[3_1|2]), (422,199,[2_1|2]), (422,532,[2_1|3]), (423,81,[2_1|2]), (423,127,[2_1|2]), (423,136,[2_1|2]), (423,145,[2_1|2]), (423,181,[2_1|2]), (423,352,[2_1|2]), (423,460,[2_1|2]), (423,137,[2_1|2]), (423,146,[2_1|2]), (424,425,[1_1|2]), (425,426,[1_1|2]), (426,427,[3_1|2]), (427,428,[5_1|2]), (428,429,[4_1|2]), (429,430,[3_1|2]), (430,431,[5_1|2]), (431,432,[1_1|2]), (431,487,[1_1|2]), (432,81,[3_1|2]), (432,82,[3_1|2]), (432,109,[3_1|2]), (432,235,[3_1|2]), (432,415,[3_1|2]), (432,407,[3_1|2]), (432,443,[3_1|2]), (432,199,[2_1|2]), (432,208,[2_1|2]), (432,217,[2_1|2]), (432,226,[1_1|2]), (432,244,[2_1|2]), (432,253,[4_1|2]), (432,559,[2_1|3]), (433,434,[1_1|2]), (434,435,[4_1|2]), (435,436,[1_1|2]), (436,437,[1_1|2]), (437,438,[4_1|2]), (438,439,[2_1|2]), (439,440,[0_1|2]), (440,441,[2_1|2]), (441,81,[2_1|2]), (441,118,[2_1|2]), (441,163,[2_1|2]), (441,343,[2_1|2]), (441,370,[2_1|2]), (441,388,[2_1|2]), (441,406,[2_1|2]), (441,424,[2_1|2]), (441,442,[2_1|2]), (441,451,[2_1|2]), (441,469,[2_1|2]), (441,416,[2_1|2]), (441,282,[2_1|2]), (442,443,[3_1|2]), (443,444,[4_1|2]), (444,445,[4_1|2]), (445,446,[3_1|2]), (446,447,[5_1|2]), (447,448,[1_1|2]), (448,449,[1_1|2]), (449,450,[2_1|2]), (450,81,[5_1|2]), (450,253,[5_1|2]), (450,325,[5_1|2]), (450,343,[5_1|2]), (450,352,[0_1|2]), (450,361,[2_1|2]), (450,370,[5_1|2]), (450,379,[2_1|2]), (450,388,[5_1|2]), (450,397,[1_1|2]), (450,406,[5_1|2]), (450,415,[3_1|2]), (450,424,[5_1|2]), (450,433,[1_1|2]), (450,442,[5_1|2]), (450,451,[5_1|2]), (450,460,[0_1|2]), (450,469,[5_1|2]), (451,452,[5_1|2]), (452,453,[3_1|2]), (453,454,[2_1|2]), (454,455,[4_1|2]), (455,456,[1_1|2]), (456,457,[2_1|2]), (457,458,[3_1|2]), (458,459,[3_1|2]), (458,208,[2_1|2]), (458,217,[2_1|2]), (459,81,[4_1|2]), (459,253,[4_1|2]), (459,325,[4_1|2]), (459,110,[4_1|2]), (459,262,[1_1|2]), (459,271,[1_1|2]), (459,280,[1_1|2]), (459,289,[2_1|2]), (459,298,[1_1|2]), (459,307,[1_1|2]), (459,316,[2_1|2]), (459,334,[1_1|2]), (459,496,[1_1|3]), (460,461,[2_1|2]), (461,462,[3_1|2]), (462,463,[5_1|2]), (463,464,[5_1|2]), (464,465,[1_1|2]), (465,466,[2_1|2]), (466,467,[0_1|2]), (467,468,[1_1|2]), (468,81,[4_1|2]), (468,253,[4_1|2]), (468,325,[4_1|2]), (468,101,[4_1|2]), (468,245,[4_1|2]), (468,262,[1_1|2]), (468,271,[1_1|2]), (468,280,[1_1|2]), (468,289,[2_1|2]), (468,298,[1_1|2]), (468,307,[1_1|2]), (468,316,[2_1|2]), (468,334,[1_1|2]), (468,496,[1_1|3]), (469,470,[1_1|2]), (470,471,[1_1|2]), (471,472,[5_1|2]), (472,473,[3_1|2]), (473,474,[2_1|2]), (474,475,[4_1|2]), (475,476,[4_1|2]), (475,325,[4_1|2]), (476,477,[0_1|2]), (476,136,[0_1|2]), (476,145,[0_1|2]), (476,568,[0_1|3]), (476,505,[3_1|3]), (477,81,[0_1|2]), (477,253,[0_1|2]), (477,325,[0_1|2]), (477,82,[3_1|2]), (477,91,[2_1|2]), (477,100,[2_1|2]), (477,109,[3_1|2]), (477,118,[5_1|2]), (477,127,[0_1|2]), (477,136,[0_1|2]), (477,145,[0_1|2]), (477,154,[2_1|2]), (477,163,[5_1|2]), (477,172,[2_1|2]), (477,181,[0_1|2]), (477,190,[2_1|2]), (477,505,[3_1|3]), (478,479,[2_1|2]), (479,480,[4_1|2]), (480,481,[3_1|2]), (481,482,[3_1|2]), (482,483,[5_1|2]), (483,484,[4_1|2]), (484,485,[1_1|2]), (485,486,[1_1|2]), (485,487,[1_1|2]), (486,81,[3_1|2]), (486,82,[3_1|2]), (486,109,[3_1|2]), (486,235,[3_1|2]), (486,415,[3_1|2]), (486,199,[2_1|2]), (486,208,[2_1|2]), (486,217,[2_1|2]), (486,226,[1_1|2]), (486,244,[2_1|2]), (486,253,[4_1|2]), (486,559,[2_1|3]), (487,488,[0_1|2]), (488,489,[4_1|2]), (489,490,[2_1|2]), (490,491,[0_1|2]), (491,492,[4_1|2]), (492,493,[4_1|2]), (493,494,[5_1|2]), (494,495,[2_1|2]), (495,81,[4_1|2]), (495,253,[4_1|2]), (495,325,[4_1|2]), (495,262,[1_1|2]), (495,271,[1_1|2]), (495,280,[1_1|2]), (495,289,[2_1|2]), (495,298,[1_1|2]), (495,307,[1_1|2]), (495,316,[2_1|2]), (495,334,[1_1|2]), (495,496,[1_1|3]), (496,497,[2_1|3]), (497,498,[0_1|3]), (498,499,[2_1|3]), (499,500,[4_1|3]), (500,501,[4_1|3]), (501,502,[4_1|3]), (502,503,[4_1|3]), (503,504,[4_1|3]), (504,398,[4_1|3]), (504,488,[4_1|3]), (505,506,[1_1|3]), (506,507,[2_1|3]), (507,508,[1_1|3]), (508,509,[2_1|3]), (509,510,[1_1|3]), (510,511,[1_1|3]), (511,512,[3_1|3]), (512,513,[5_1|3]), (513,110,[4_1|3]), (514,515,[0_1|3]), (515,516,[1_1|3]), (516,517,[1_1|3]), (517,518,[4_1|3]), (518,519,[1_1|3]), (519,520,[4_1|3]), (520,521,[0_1|3]), (521,522,[1_1|3]), (522,193,[1_1|3]), (523,524,[2_1|3]), (524,525,[4_1|3]), (525,526,[2_1|3]), (526,527,[5_1|3]), (527,528,[2_1|3]), (528,529,[2_1|3]), (529,530,[3_1|3]), (530,531,[2_1|3]), (531,178,[4_1|3]), (532,533,[2_1|3]), (533,534,[5_1|3]), (534,535,[3_1|3]), (535,536,[3_1|3]), (536,537,[2_1|3]), (537,538,[2_1|3]), (538,539,[1_1|3]), (539,540,[1_1|3]), (540,118,[2_1|3]), (540,163,[2_1|3]), (540,343,[2_1|3]), (540,370,[2_1|3]), (540,388,[2_1|3]), (540,406,[2_1|3]), (540,424,[2_1|3]), (540,442,[2_1|3]), (540,451,[2_1|3]), (540,469,[2_1|3]), (541,542,[1_1|3]), (542,543,[4_1|3]), (543,544,[1_1|3]), (544,545,[1_1|3]), (545,546,[4_1|3]), (546,547,[2_1|3]), (547,548,[0_1|3]), (548,549,[2_1|3]), (549,416,[2_1|3]), (549,318,[2_1|3]), (549,463,[2_1|3]), (550,551,[1_1|3]), (551,552,[1_1|3]), (552,553,[0_1|3]), (553,554,[1_1|3]), (554,555,[1_1|3]), (555,556,[0_1|3]), (556,557,[0_1|3]), (557,558,[2_1|3]), (558,138,[1_1|3]), (559,560,[2_1|3]), (560,561,[5_1|3]), (561,562,[3_1|3]), (562,563,[3_1|3]), (563,564,[2_1|3]), (564,565,[2_1|3]), (565,566,[1_1|3]), (566,567,[1_1|3]), (567,191,[2_1|3]), (568,569,[0_1|3]), (569,570,[2_1|3]), (570,571,[2_1|3]), (571,572,[2_1|3]), (572,573,[3_1|3]), (573,574,[3_1|3]), (574,575,[3_1|3]), (575,576,[1_1|3]), (576,389,[1_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)