/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 70 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 132 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(1(2(x1)))) -> 3(3(0(3(3(2(2(0(0(0(x1)))))))))) 5(4(4(0(x1)))) -> 2(3(1(0(0(3(3(3(4(0(x1)))))))))) 0(0(5(0(5(x1))))) -> 2(5(2(2(3(3(3(5(1(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(1(3(5(2(2(3(3(2(5(x1)))))))))) 5(0(5(5(0(x1))))) -> 3(4(0(3(0(4(0(3(3(5(x1)))))))))) 5(0(5(5(5(x1))))) -> 5(1(3(0(3(3(1(3(1(2(x1)))))))))) 5(5(2(1(0(x1))))) -> 3(3(1(3(3(0(4(5(1(2(x1)))))))))) 0(1(0(5(5(2(x1)))))) -> 0(2(3(2(4(0(1(3(2(0(x1)))))))))) 0(2(1(5(5(2(x1)))))) -> 0(3(4(2(1(2(0(1(2(3(x1)))))))))) 0(4(0(5(3(1(x1)))))) -> 3(2(3(2(2(3(4(0(1(1(x1)))))))))) 0(4(0(5(3(4(x1)))))) -> 0(0(0(0(3(0(4(4(5(1(x1)))))))))) 0(4(4(4(5(4(x1)))))) -> 3(2(0(2(1(3(0(4(5(4(x1)))))))))) 0(5(4(5(5(5(x1)))))) -> 3(3(4(3(1(4(4(3(3(5(x1)))))))))) 1(1(1(5(3(4(x1)))))) -> 1(5(1(3(3(3(2(0(4(4(x1)))))))))) 1(1(4(1(5(5(x1)))))) -> 4(2(3(0(4(4(1(0(0(4(x1)))))))))) 2(1(1(1(4(5(x1)))))) -> 2(0(4(2(0(3(3(2(1(5(x1)))))))))) 3(1(1(1(5(4(x1)))))) -> 3(3(5(4(1(5(1(3(5(4(x1)))))))))) 4(4(0(5(5(2(x1)))))) -> 0(1(2(2(0(2(0(1(4(2(x1)))))))))) 4(4(1(1(5(0(x1)))))) -> 4(0(3(2(2(1(1(0(4(0(x1)))))))))) 4(4(4(0(5(0(x1)))))) -> 3(4(0(0(1(3(4(2(3(2(x1)))))))))) 5(0(5(5(3(1(x1)))))) -> 5(0(5(1(3(0(0(3(0(1(x1)))))))))) 5(5(1(1(0(3(x1)))))) -> 3(3(0(2(5(1(3(3(2(3(x1)))))))))) 0(2(2(5(4(5(2(x1))))))) -> 3(2(2(3(5(2(0(3(2(2(x1)))))))))) 0(4(5(2(1(5(0(x1))))))) -> 0(2(3(2(0(1(5(4(1(2(x1)))))))))) 0(5(0(5(5(0(0(x1))))))) -> 0(2(4(0(3(0(3(5(4(0(x1)))))))))) 0(5(4(3(5(2(4(x1))))))) -> 0(3(1(3(0(0(4(3(2(4(x1)))))))))) 0(5(5(5(1(5(5(x1))))))) -> 0(1(0(1(3(5(1(3(2(5(x1)))))))))) 1(0(0(5(0(1(3(x1))))))) -> 1(2(0(3(3(4(0(2(1(3(x1)))))))))) 1(5(5(5(2(2(0(x1))))))) -> 3(0(4(2(0(2(1(0(3(2(x1)))))))))) 2(1(0(4(5(5(2(x1))))))) -> 4(3(3(2(1(2(4(1(2(3(x1)))))))))) 2(1(1(5(5(5(0(x1))))))) -> 3(3(4(5(3(2(1(4(3(0(x1)))))))))) 2(1(5(3(4(4(0(x1))))))) -> 4(3(2(3(0(1(3(4(3(0(x1)))))))))) 2(1(5(5(3(4(4(x1))))))) -> 3(3(1(3(3(1(5(5(4(4(x1)))))))))) 4(1(1(3(1(0(2(x1))))))) -> 4(2(3(5(2(2(0(0(0(0(x1)))))))))) 4(1(5(0(5(1(4(x1))))))) -> 0(1(0(1(1(0(0(0(0(1(x1)))))))))) 4(4(4(1(1(5(3(x1))))))) -> 4(4(2(5(3(3(4(3(3(2(x1)))))))))) 4(4(4(5(5(5(0(x1))))))) -> 0(4(0(4(1(3(0(4(3(2(x1)))))))))) 4(5(5(1(1(3(4(x1))))))) -> 0(2(3(2(0(4(4(5(2(4(x1)))))))))) 5(2(0(5(4(0(5(x1))))))) -> 3(3(0(4(3(1(5(2(3(2(x1)))))))))) 5(2(4(5(3(4(4(x1))))))) -> 2(0(5(2(3(3(5(1(3(4(x1)))))))))) 5(3(1(5(4(4(0(x1))))))) -> 1(0(3(2(1(3(1(0(4(0(x1)))))))))) 5(4(4(0(4(5(0(x1))))))) -> 2(3(5(2(2(5(0(4(3(0(x1)))))))))) 5(5(2(2(1(1(5(x1))))))) -> 3(3(4(2(3(1(1(3(2(4(x1)))))))))) 5(5(2(5(1(4(0(x1))))))) -> 4(3(1(3(2(0(0(4(3(2(x1)))))))))) 5(5(5(0(0(1(3(x1))))))) -> 5(4(1(2(3(0(0(1(1(3(x1)))))))))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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)) encArg(cons_4(x_1)) -> 4(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_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(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(1(2(x1)))) -> 3(3(0(3(3(2(2(0(0(0(x1)))))))))) 5(4(4(0(x1)))) -> 2(3(1(0(0(3(3(3(4(0(x1)))))))))) 0(0(5(0(5(x1))))) -> 2(5(2(2(3(3(3(5(1(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(1(3(5(2(2(3(3(2(5(x1)))))))))) 5(0(5(5(0(x1))))) -> 3(4(0(3(0(4(0(3(3(5(x1)))))))))) 5(0(5(5(5(x1))))) -> 5(1(3(0(3(3(1(3(1(2(x1)))))))))) 5(5(2(1(0(x1))))) -> 3(3(1(3(3(0(4(5(1(2(x1)))))))))) 0(1(0(5(5(2(x1)))))) -> 0(2(3(2(4(0(1(3(2(0(x1)))))))))) 0(2(1(5(5(2(x1)))))) -> 0(3(4(2(1(2(0(1(2(3(x1)))))))))) 0(4(0(5(3(1(x1)))))) -> 3(2(3(2(2(3(4(0(1(1(x1)))))))))) 0(4(0(5(3(4(x1)))))) -> 0(0(0(0(3(0(4(4(5(1(x1)))))))))) 0(4(4(4(5(4(x1)))))) -> 3(2(0(2(1(3(0(4(5(4(x1)))))))))) 0(5(4(5(5(5(x1)))))) -> 3(3(4(3(1(4(4(3(3(5(x1)))))))))) 1(1(1(5(3(4(x1)))))) -> 1(5(1(3(3(3(2(0(4(4(x1)))))))))) 1(1(4(1(5(5(x1)))))) -> 4(2(3(0(4(4(1(0(0(4(x1)))))))))) 2(1(1(1(4(5(x1)))))) -> 2(0(4(2(0(3(3(2(1(5(x1)))))))))) 3(1(1(1(5(4(x1)))))) -> 3(3(5(4(1(5(1(3(5(4(x1)))))))))) 4(4(0(5(5(2(x1)))))) -> 0(1(2(2(0(2(0(1(4(2(x1)))))))))) 4(4(1(1(5(0(x1)))))) -> 4(0(3(2(2(1(1(0(4(0(x1)))))))))) 4(4(4(0(5(0(x1)))))) -> 3(4(0(0(1(3(4(2(3(2(x1)))))))))) 5(0(5(5(3(1(x1)))))) -> 5(0(5(1(3(0(0(3(0(1(x1)))))))))) 5(5(1(1(0(3(x1)))))) -> 3(3(0(2(5(1(3(3(2(3(x1)))))))))) 0(2(2(5(4(5(2(x1))))))) -> 3(2(2(3(5(2(0(3(2(2(x1)))))))))) 0(4(5(2(1(5(0(x1))))))) -> 0(2(3(2(0(1(5(4(1(2(x1)))))))))) 0(5(0(5(5(0(0(x1))))))) -> 0(2(4(0(3(0(3(5(4(0(x1)))))))))) 0(5(4(3(5(2(4(x1))))))) -> 0(3(1(3(0(0(4(3(2(4(x1)))))))))) 0(5(5(5(1(5(5(x1))))))) -> 0(1(0(1(3(5(1(3(2(5(x1)))))))))) 1(0(0(5(0(1(3(x1))))))) -> 1(2(0(3(3(4(0(2(1(3(x1)))))))))) 1(5(5(5(2(2(0(x1))))))) -> 3(0(4(2(0(2(1(0(3(2(x1)))))))))) 2(1(0(4(5(5(2(x1))))))) -> 4(3(3(2(1(2(4(1(2(3(x1)))))))))) 2(1(1(5(5(5(0(x1))))))) -> 3(3(4(5(3(2(1(4(3(0(x1)))))))))) 2(1(5(3(4(4(0(x1))))))) -> 4(3(2(3(0(1(3(4(3(0(x1)))))))))) 2(1(5(5(3(4(4(x1))))))) -> 3(3(1(3(3(1(5(5(4(4(x1)))))))))) 4(1(1(3(1(0(2(x1))))))) -> 4(2(3(5(2(2(0(0(0(0(x1)))))))))) 4(1(5(0(5(1(4(x1))))))) -> 0(1(0(1(1(0(0(0(0(1(x1)))))))))) 4(4(4(1(1(5(3(x1))))))) -> 4(4(2(5(3(3(4(3(3(2(x1)))))))))) 4(4(4(5(5(5(0(x1))))))) -> 0(4(0(4(1(3(0(4(3(2(x1)))))))))) 4(5(5(1(1(3(4(x1))))))) -> 0(2(3(2(0(4(4(5(2(4(x1)))))))))) 5(2(0(5(4(0(5(x1))))))) -> 3(3(0(4(3(1(5(2(3(2(x1)))))))))) 5(2(4(5(3(4(4(x1))))))) -> 2(0(5(2(3(3(5(1(3(4(x1)))))))))) 5(3(1(5(4(4(0(x1))))))) -> 1(0(3(2(1(3(1(0(4(0(x1)))))))))) 5(4(4(0(4(5(0(x1))))))) -> 2(3(5(2(2(5(0(4(3(0(x1)))))))))) 5(5(2(2(1(1(5(x1))))))) -> 3(3(4(2(3(1(1(3(2(4(x1)))))))))) 5(5(2(5(1(4(0(x1))))))) -> 4(3(1(3(2(0(0(4(3(2(x1)))))))))) 5(5(5(0(0(1(3(x1))))))) -> 5(4(1(2(3(0(0(1(1(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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)) encArg(cons_4(x_1)) -> 4(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_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(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(1(2(x1)))) -> 3(3(0(3(3(2(2(0(0(0(x1)))))))))) 5(4(4(0(x1)))) -> 2(3(1(0(0(3(3(3(4(0(x1)))))))))) 0(0(5(0(5(x1))))) -> 2(5(2(2(3(3(3(5(1(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(1(3(5(2(2(3(3(2(5(x1)))))))))) 5(0(5(5(0(x1))))) -> 3(4(0(3(0(4(0(3(3(5(x1)))))))))) 5(0(5(5(5(x1))))) -> 5(1(3(0(3(3(1(3(1(2(x1)))))))))) 5(5(2(1(0(x1))))) -> 3(3(1(3(3(0(4(5(1(2(x1)))))))))) 0(1(0(5(5(2(x1)))))) -> 0(2(3(2(4(0(1(3(2(0(x1)))))))))) 0(2(1(5(5(2(x1)))))) -> 0(3(4(2(1(2(0(1(2(3(x1)))))))))) 0(4(0(5(3(1(x1)))))) -> 3(2(3(2(2(3(4(0(1(1(x1)))))))))) 0(4(0(5(3(4(x1)))))) -> 0(0(0(0(3(0(4(4(5(1(x1)))))))))) 0(4(4(4(5(4(x1)))))) -> 3(2(0(2(1(3(0(4(5(4(x1)))))))))) 0(5(4(5(5(5(x1)))))) -> 3(3(4(3(1(4(4(3(3(5(x1)))))))))) 1(1(1(5(3(4(x1)))))) -> 1(5(1(3(3(3(2(0(4(4(x1)))))))))) 1(1(4(1(5(5(x1)))))) -> 4(2(3(0(4(4(1(0(0(4(x1)))))))))) 2(1(1(1(4(5(x1)))))) -> 2(0(4(2(0(3(3(2(1(5(x1)))))))))) 3(1(1(1(5(4(x1)))))) -> 3(3(5(4(1(5(1(3(5(4(x1)))))))))) 4(4(0(5(5(2(x1)))))) -> 0(1(2(2(0(2(0(1(4(2(x1)))))))))) 4(4(1(1(5(0(x1)))))) -> 4(0(3(2(2(1(1(0(4(0(x1)))))))))) 4(4(4(0(5(0(x1)))))) -> 3(4(0(0(1(3(4(2(3(2(x1)))))))))) 5(0(5(5(3(1(x1)))))) -> 5(0(5(1(3(0(0(3(0(1(x1)))))))))) 5(5(1(1(0(3(x1)))))) -> 3(3(0(2(5(1(3(3(2(3(x1)))))))))) 0(2(2(5(4(5(2(x1))))))) -> 3(2(2(3(5(2(0(3(2(2(x1)))))))))) 0(4(5(2(1(5(0(x1))))))) -> 0(2(3(2(0(1(5(4(1(2(x1)))))))))) 0(5(0(5(5(0(0(x1))))))) -> 0(2(4(0(3(0(3(5(4(0(x1)))))))))) 0(5(4(3(5(2(4(x1))))))) -> 0(3(1(3(0(0(4(3(2(4(x1)))))))))) 0(5(5(5(1(5(5(x1))))))) -> 0(1(0(1(3(5(1(3(2(5(x1)))))))))) 1(0(0(5(0(1(3(x1))))))) -> 1(2(0(3(3(4(0(2(1(3(x1)))))))))) 1(5(5(5(2(2(0(x1))))))) -> 3(0(4(2(0(2(1(0(3(2(x1)))))))))) 2(1(0(4(5(5(2(x1))))))) -> 4(3(3(2(1(2(4(1(2(3(x1)))))))))) 2(1(1(5(5(5(0(x1))))))) -> 3(3(4(5(3(2(1(4(3(0(x1)))))))))) 2(1(5(3(4(4(0(x1))))))) -> 4(3(2(3(0(1(3(4(3(0(x1)))))))))) 2(1(5(5(3(4(4(x1))))))) -> 3(3(1(3(3(1(5(5(4(4(x1)))))))))) 4(1(1(3(1(0(2(x1))))))) -> 4(2(3(5(2(2(0(0(0(0(x1)))))))))) 4(1(5(0(5(1(4(x1))))))) -> 0(1(0(1(1(0(0(0(0(1(x1)))))))))) 4(4(4(1(1(5(3(x1))))))) -> 4(4(2(5(3(3(4(3(3(2(x1)))))))))) 4(4(4(5(5(5(0(x1))))))) -> 0(4(0(4(1(3(0(4(3(2(x1)))))))))) 4(5(5(1(1(3(4(x1))))))) -> 0(2(3(2(0(4(4(5(2(4(x1)))))))))) 5(2(0(5(4(0(5(x1))))))) -> 3(3(0(4(3(1(5(2(3(2(x1)))))))))) 5(2(4(5(3(4(4(x1))))))) -> 2(0(5(2(3(3(5(1(3(4(x1)))))))))) 5(3(1(5(4(4(0(x1))))))) -> 1(0(3(2(1(3(1(0(4(0(x1)))))))))) 5(4(4(0(4(5(0(x1))))))) -> 2(3(5(2(2(5(0(4(3(0(x1)))))))))) 5(5(2(2(1(1(5(x1))))))) -> 3(3(4(2(3(1(1(3(2(4(x1)))))))))) 5(5(2(5(1(4(0(x1))))))) -> 4(3(1(3(2(0(0(4(3(2(x1)))))))))) 5(5(5(0(0(1(3(x1))))))) -> 5(4(1(2(3(0(0(1(1(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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)) encArg(cons_4(x_1)) -> 4(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_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(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(1(2(x1)))) -> 3(3(0(3(3(2(2(0(0(0(x1)))))))))) 5(4(4(0(x1)))) -> 2(3(1(0(0(3(3(3(4(0(x1)))))))))) 0(0(5(0(5(x1))))) -> 2(5(2(2(3(3(3(5(1(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(1(3(5(2(2(3(3(2(5(x1)))))))))) 5(0(5(5(0(x1))))) -> 3(4(0(3(0(4(0(3(3(5(x1)))))))))) 5(0(5(5(5(x1))))) -> 5(1(3(0(3(3(1(3(1(2(x1)))))))))) 5(5(2(1(0(x1))))) -> 3(3(1(3(3(0(4(5(1(2(x1)))))))))) 0(1(0(5(5(2(x1)))))) -> 0(2(3(2(4(0(1(3(2(0(x1)))))))))) 0(2(1(5(5(2(x1)))))) -> 0(3(4(2(1(2(0(1(2(3(x1)))))))))) 0(4(0(5(3(1(x1)))))) -> 3(2(3(2(2(3(4(0(1(1(x1)))))))))) 0(4(0(5(3(4(x1)))))) -> 0(0(0(0(3(0(4(4(5(1(x1)))))))))) 0(4(4(4(5(4(x1)))))) -> 3(2(0(2(1(3(0(4(5(4(x1)))))))))) 0(5(4(5(5(5(x1)))))) -> 3(3(4(3(1(4(4(3(3(5(x1)))))))))) 1(1(1(5(3(4(x1)))))) -> 1(5(1(3(3(3(2(0(4(4(x1)))))))))) 1(1(4(1(5(5(x1)))))) -> 4(2(3(0(4(4(1(0(0(4(x1)))))))))) 2(1(1(1(4(5(x1)))))) -> 2(0(4(2(0(3(3(2(1(5(x1)))))))))) 3(1(1(1(5(4(x1)))))) -> 3(3(5(4(1(5(1(3(5(4(x1)))))))))) 4(4(0(5(5(2(x1)))))) -> 0(1(2(2(0(2(0(1(4(2(x1)))))))))) 4(4(1(1(5(0(x1)))))) -> 4(0(3(2(2(1(1(0(4(0(x1)))))))))) 4(4(4(0(5(0(x1)))))) -> 3(4(0(0(1(3(4(2(3(2(x1)))))))))) 5(0(5(5(3(1(x1)))))) -> 5(0(5(1(3(0(0(3(0(1(x1)))))))))) 5(5(1(1(0(3(x1)))))) -> 3(3(0(2(5(1(3(3(2(3(x1)))))))))) 0(2(2(5(4(5(2(x1))))))) -> 3(2(2(3(5(2(0(3(2(2(x1)))))))))) 0(4(5(2(1(5(0(x1))))))) -> 0(2(3(2(0(1(5(4(1(2(x1)))))))))) 0(5(0(5(5(0(0(x1))))))) -> 0(2(4(0(3(0(3(5(4(0(x1)))))))))) 0(5(4(3(5(2(4(x1))))))) -> 0(3(1(3(0(0(4(3(2(4(x1)))))))))) 0(5(5(5(1(5(5(x1))))))) -> 0(1(0(1(3(5(1(3(2(5(x1)))))))))) 1(0(0(5(0(1(3(x1))))))) -> 1(2(0(3(3(4(0(2(1(3(x1)))))))))) 1(5(5(5(2(2(0(x1))))))) -> 3(0(4(2(0(2(1(0(3(2(x1)))))))))) 2(1(0(4(5(5(2(x1))))))) -> 4(3(3(2(1(2(4(1(2(3(x1)))))))))) 2(1(1(5(5(5(0(x1))))))) -> 3(3(4(5(3(2(1(4(3(0(x1)))))))))) 2(1(5(3(4(4(0(x1))))))) -> 4(3(2(3(0(1(3(4(3(0(x1)))))))))) 2(1(5(5(3(4(4(x1))))))) -> 3(3(1(3(3(1(5(5(4(4(x1)))))))))) 4(1(1(3(1(0(2(x1))))))) -> 4(2(3(5(2(2(0(0(0(0(x1)))))))))) 4(1(5(0(5(1(4(x1))))))) -> 0(1(0(1(1(0(0(0(0(1(x1)))))))))) 4(4(4(1(1(5(3(x1))))))) -> 4(4(2(5(3(3(4(3(3(2(x1)))))))))) 4(4(4(5(5(5(0(x1))))))) -> 0(4(0(4(1(3(0(4(3(2(x1)))))))))) 4(5(5(1(1(3(4(x1))))))) -> 0(2(3(2(0(4(4(5(2(4(x1)))))))))) 5(2(0(5(4(0(5(x1))))))) -> 3(3(0(4(3(1(5(2(3(2(x1)))))))))) 5(2(4(5(3(4(4(x1))))))) -> 2(0(5(2(3(3(5(1(3(4(x1)))))))))) 5(3(1(5(4(4(0(x1))))))) -> 1(0(3(2(1(3(1(0(4(0(x1)))))))))) 5(4(4(0(4(5(0(x1))))))) -> 2(3(5(2(2(5(0(4(3(0(x1)))))))))) 5(5(2(2(1(1(5(x1))))))) -> 3(3(4(2(3(1(1(3(2(4(x1)))))))))) 5(5(2(5(1(4(0(x1))))))) -> 4(3(1(3(2(0(0(4(3(2(x1)))))))))) 5(5(5(0(0(1(3(x1))))))) -> 5(4(1(2(3(0(0(1(1(3(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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)) encArg(cons_4(x_1)) -> 4(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_5(x_1) -> 5(encArg(x_1)) encode_4(x_1) -> 4(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. "[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] {(109,110,[0_1|0, 5_1|0, 1_1|0, 2_1|0, 3_1|0, 4_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_5_1|0, encode_4_1|0]), (109,111,[0_1|1, 5_1|1, 1_1|1, 2_1|1, 3_1|1, 4_1|1]), (109,112,[3_1|2]), (109,121,[0_1|2]), (109,130,[2_1|2]), (109,139,[2_1|2]), (109,148,[3_1|2]), (109,157,[0_1|2]), (109,166,[3_1|2]), (109,175,[0_1|2]), (109,184,[0_1|2]), (109,193,[3_1|2]), (109,202,[3_1|2]), (109,211,[0_1|2]), (109,220,[0_1|2]), (109,229,[0_1|2]), (109,238,[2_1|2]), (109,247,[2_1|2]), (109,256,[3_1|2]), (109,265,[5_1|2]), (109,274,[5_1|2]), (109,283,[3_1|2]), (109,292,[3_1|2]), (109,301,[4_1|2]), (109,310,[3_1|2]), (109,319,[5_1|2]), (109,328,[3_1|2]), (109,337,[2_1|2]), (109,346,[1_1|2]), 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(321,322,[2_1|2]), (322,323,[3_1|2]), (323,324,[0_1|2]), (324,325,[0_1|2]), (325,326,[1_1|2]), (326,327,[1_1|2]), (327,111,[3_1|2]), (327,112,[3_1|2]), (327,148,[3_1|2]), (327,166,[3_1|2]), (327,193,[3_1|2]), (327,202,[3_1|2]), (327,256,[3_1|2]), (327,283,[3_1|2]), (327,292,[3_1|2]), (327,310,[3_1|2]), (327,328,[3_1|2]), (327,382,[3_1|2]), (327,400,[3_1|2]), (327,427,[3_1|2]), (327,436,[3_1|2]), (327,463,[3_1|2]), (328,329,[3_1|2]), (329,330,[0_1|2]), (330,331,[4_1|2]), (331,332,[3_1|2]), (332,333,[1_1|2]), (333,334,[5_1|2]), (334,335,[2_1|2]), (335,336,[3_1|2]), (336,111,[2_1|2]), (336,265,[2_1|2]), (336,274,[2_1|2]), (336,319,[2_1|2]), (336,391,[2_1|2]), (336,400,[3_1|2]), (336,409,[4_1|2]), (336,418,[4_1|2]), (336,427,[3_1|2]), (337,338,[0_1|2]), (338,339,[5_1|2]), (339,340,[2_1|2]), (340,341,[3_1|2]), (341,342,[3_1|2]), (342,343,[5_1|2]), (343,344,[1_1|2]), (344,345,[3_1|2]), (345,111,[4_1|2]), (345,301,[4_1|2]), (345,364,[4_1|2]), (345,409,[4_1|2]), (345,418,[4_1|2]), (345,454,[4_1|2]), (345,472,[4_1|2]), (345,490,[4_1|2]), (345,473,[4_1|2]), (345,445,[0_1|2]), (345,463,[3_1|2]), (345,481,[0_1|2]), (345,499,[0_1|2]), (345,508,[0_1|2]), (346,347,[0_1|2]), (347,348,[3_1|2]), (348,349,[2_1|2]), (349,350,[1_1|2]), (350,351,[3_1|2]), (351,352,[1_1|2]), (352,353,[0_1|2]), (352,148,[3_1|2]), (352,157,[0_1|2]), (353,354,[4_1|2]), (354,111,[0_1|2]), (354,121,[0_1|2]), (354,157,[0_1|2]), (354,175,[0_1|2]), (354,184,[0_1|2]), (354,211,[0_1|2]), (354,220,[0_1|2]), (354,229,[0_1|2]), (354,445,[0_1|2]), (354,481,[0_1|2]), (354,499,[0_1|2]), (354,508,[0_1|2]), (354,455,[0_1|2]), (354,112,[3_1|2]), (354,130,[2_1|2]), (354,139,[2_1|2]), (354,148,[3_1|2]), (354,166,[3_1|2]), (354,193,[3_1|2]), (354,202,[3_1|2]), (355,356,[5_1|2]), (356,357,[1_1|2]), (357,358,[3_1|2]), (358,359,[3_1|2]), (359,360,[3_1|2]), (360,361,[2_1|2]), (361,362,[0_1|2]), (361,166,[3_1|2]), (362,363,[4_1|2]), (362,445,[0_1|2]), (362,454,[4_1|2]), (362,463,[3_1|2]), (362,472,[4_1|2]), (362,481,[0_1|2]), (363,111,[4_1|2]), (363,301,[4_1|2]), (363,364,[4_1|2]), (363,409,[4_1|2]), (363,418,[4_1|2]), (363,454,[4_1|2]), (363,472,[4_1|2]), (363,490,[4_1|2]), (363,257,[4_1|2]), (363,464,[4_1|2]), (363,445,[0_1|2]), (363,463,[3_1|2]), (363,481,[0_1|2]), (363,499,[0_1|2]), (363,508,[0_1|2]), (364,365,[2_1|2]), (365,366,[3_1|2]), (366,367,[0_1|2]), (367,368,[4_1|2]), (368,369,[4_1|2]), (369,370,[1_1|2]), (370,371,[0_1|2]), (371,372,[0_1|2]), (371,139,[2_1|2]), (371,148,[3_1|2]), (371,157,[0_1|2]), (371,166,[3_1|2]), (371,175,[0_1|2]), (372,111,[4_1|2]), (372,265,[4_1|2]), (372,274,[4_1|2]), (372,319,[4_1|2]), (372,445,[0_1|2]), (372,454,[4_1|2]), (372,463,[3_1|2]), (372,472,[4_1|2]), (372,481,[0_1|2]), (372,490,[4_1|2]), (372,499,[0_1|2]), (372,508,[0_1|2]), (373,374,[2_1|2]), (374,375,[0_1|2]), (375,376,[3_1|2]), (376,377,[3_1|2]), (377,378,[4_1|2]), (378,379,[0_1|2]), (379,380,[2_1|2]), (380,381,[1_1|2]), (381,111,[3_1|2]), (381,112,[3_1|2]), (381,148,[3_1|2]), (381,166,[3_1|2]), (381,193,[3_1|2]), (381,202,[3_1|2]), (381,256,[3_1|2]), (381,283,[3_1|2]), (381,292,[3_1|2]), (381,310,[3_1|2]), (381,328,[3_1|2]), (381,382,[3_1|2]), (381,400,[3_1|2]), (381,427,[3_1|2]), (381,436,[3_1|2]), (381,463,[3_1|2]), (382,383,[0_1|2]), (383,384,[4_1|2]), (384,385,[2_1|2]), (385,386,[0_1|2]), (386,387,[2_1|2]), (387,388,[1_1|2]), (388,389,[0_1|2]), (389,390,[3_1|2]), (390,111,[2_1|2]), (390,121,[2_1|2]), (390,157,[2_1|2]), (390,175,[2_1|2]), (390,184,[2_1|2]), (390,211,[2_1|2]), (390,220,[2_1|2]), (390,229,[2_1|2]), (390,445,[2_1|2]), (390,481,[2_1|2]), (390,499,[2_1|2]), (390,508,[2_1|2]), (390,338,[2_1|2]), (390,392,[2_1|2]), (390,391,[2_1|2]), (390,400,[3_1|2]), (390,409,[4_1|2]), (390,418,[4_1|2]), (390,427,[3_1|2]), (391,392,[0_1|2]), (392,393,[4_1|2]), (393,394,[2_1|2]), (394,395,[0_1|2]), (395,396,[3_1|2]), (396,397,[3_1|2]), (397,398,[2_1|2]), (397,418,[4_1|2]), (397,427,[3_1|2]), (398,399,[1_1|2]), (398,382,[3_1|2]), (399,111,[5_1|2]), 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(417,238,[3_1|2]), (417,247,[3_1|2]), (417,337,[3_1|2]), (417,391,[3_1|2]), (417,436,[3_1|2]), (418,419,[3_1|2]), (419,420,[2_1|2]), (420,421,[3_1|2]), (421,422,[0_1|2]), (422,423,[1_1|2]), (423,424,[3_1|2]), (424,425,[4_1|2]), (425,426,[3_1|2]), (426,111,[0_1|2]), (426,121,[0_1|2]), (426,157,[0_1|2]), (426,175,[0_1|2]), (426,184,[0_1|2]), (426,211,[0_1|2]), (426,220,[0_1|2]), (426,229,[0_1|2]), (426,445,[0_1|2]), (426,481,[0_1|2]), (426,499,[0_1|2]), (426,508,[0_1|2]), (426,455,[0_1|2]), (426,112,[3_1|2]), (426,130,[2_1|2]), (426,139,[2_1|2]), (426,148,[3_1|2]), (426,166,[3_1|2]), (426,193,[3_1|2]), (426,202,[3_1|2]), (427,428,[3_1|2]), (428,429,[1_1|2]), (429,430,[3_1|2]), (430,431,[3_1|2]), (431,432,[1_1|2]), (432,433,[5_1|2]), (433,434,[5_1|2]), (433,238,[2_1|2]), (433,247,[2_1|2]), (433,553,[2_1|3]), (434,435,[4_1|2]), (434,445,[0_1|2]), (434,454,[4_1|2]), (434,463,[3_1|2]), (434,472,[4_1|2]), (434,481,[0_1|2]), (435,111,[4_1|2]), (435,301,[4_1|2]), (435,364,[4_1|2]), (435,409,[4_1|2]), (435,418,[4_1|2]), (435,454,[4_1|2]), (435,472,[4_1|2]), (435,490,[4_1|2]), (435,473,[4_1|2]), (435,445,[0_1|2]), (435,463,[3_1|2]), (435,481,[0_1|2]), (435,499,[0_1|2]), (435,508,[0_1|2]), (436,437,[3_1|2]), (437,438,[5_1|2]), (438,439,[4_1|2]), (439,440,[1_1|2]), (440,441,[5_1|2]), (441,442,[1_1|2]), (442,443,[3_1|2]), (443,444,[5_1|2]), (443,238,[2_1|2]), (443,247,[2_1|2]), (443,535,[2_1|3]), (444,111,[4_1|2]), (444,301,[4_1|2]), (444,364,[4_1|2]), (444,409,[4_1|2]), (444,418,[4_1|2]), (444,454,[4_1|2]), (444,472,[4_1|2]), (444,490,[4_1|2]), (444,320,[4_1|2]), (444,445,[0_1|2]), (444,463,[3_1|2]), (444,481,[0_1|2]), (444,499,[0_1|2]), (444,508,[0_1|2]), (445,446,[1_1|2]), (446,447,[2_1|2]), (447,448,[2_1|2]), (448,449,[0_1|2]), (449,450,[2_1|2]), (450,451,[0_1|2]), (451,452,[1_1|2]), (452,453,[4_1|2]), (453,111,[2_1|2]), (453,130,[2_1|2]), (453,139,[2_1|2]), (453,238,[2_1|2]), (453,247,[2_1|2]), (453,337,[2_1|2]), (453,391,[2_1|2]), (453,400,[3_1|2]), (453,409,[4_1|2]), (453,418,[4_1|2]), (453,427,[3_1|2]), (454,455,[0_1|2]), (455,456,[3_1|2]), (456,457,[2_1|2]), (457,458,[2_1|2]), (458,459,[1_1|2]), (459,460,[1_1|2]), (460,461,[0_1|2]), (460,148,[3_1|2]), (460,157,[0_1|2]), (461,462,[4_1|2]), (462,111,[0_1|2]), (462,121,[0_1|2]), (462,157,[0_1|2]), (462,175,[0_1|2]), (462,184,[0_1|2]), (462,211,[0_1|2]), (462,220,[0_1|2]), (462,229,[0_1|2]), (462,445,[0_1|2]), (462,481,[0_1|2]), (462,499,[0_1|2]), (462,508,[0_1|2]), (462,275,[0_1|2]), (462,112,[3_1|2]), (462,130,[2_1|2]), (462,139,[2_1|2]), (462,148,[3_1|2]), (462,166,[3_1|2]), (462,193,[3_1|2]), (462,202,[3_1|2]), (463,464,[4_1|2]), (464,465,[0_1|2]), (465,466,[0_1|2]), (466,467,[1_1|2]), (467,468,[3_1|2]), (468,469,[4_1|2]), (469,470,[2_1|2]), (470,471,[3_1|2]), (471,111,[2_1|2]), (471,121,[2_1|2]), (471,157,[2_1|2]), (471,175,[2_1|2]), (471,184,[2_1|2]), (471,211,[2_1|2]), (471,220,[2_1|2]), (471,229,[2_1|2]), (471,445,[2_1|2]), (471,481,[2_1|2]), (471,499,[2_1|2]), (471,508,[2_1|2]), (471,275,[2_1|2]), (471,391,[2_1|2]), (471,400,[3_1|2]), (471,409,[4_1|2]), (471,418,[4_1|2]), (471,427,[3_1|2]), (472,473,[4_1|2]), (473,474,[2_1|2]), (474,475,[5_1|2]), (475,476,[3_1|2]), (476,477,[3_1|2]), (477,478,[4_1|2]), (478,479,[3_1|2]), (479,480,[3_1|2]), (480,111,[2_1|2]), (480,112,[2_1|2]), (480,148,[2_1|2]), (480,166,[2_1|2]), (480,193,[2_1|2]), (480,202,[2_1|2]), (480,256,[2_1|2]), (480,283,[2_1|2]), (480,292,[2_1|2]), (480,310,[2_1|2]), (480,328,[2_1|2]), (480,382,[2_1|2]), (480,400,[2_1|2, 3_1|2]), (480,427,[2_1|2, 3_1|2]), (480,436,[2_1|2]), (480,463,[2_1|2]), (480,391,[2_1|2]), (480,409,[4_1|2]), (480,418,[4_1|2]), (481,482,[4_1|2]), (482,483,[0_1|2]), (483,484,[4_1|2]), (484,485,[1_1|2]), (485,486,[3_1|2]), (486,487,[0_1|2]), (487,488,[4_1|2]), (488,489,[3_1|2]), (489,111,[2_1|2]), (489,121,[2_1|2]), (489,157,[2_1|2]), (489,175,[2_1|2]), (489,184,[2_1|2]), (489,211,[2_1|2]), (489,220,[2_1|2]), (489,229,[2_1|2]), (489,445,[2_1|2]), (489,481,[2_1|2]), (489,499,[2_1|2]), (489,508,[2_1|2]), (489,275,[2_1|2]), (489,391,[2_1|2]), (489,400,[3_1|2]), (489,409,[4_1|2]), (489,418,[4_1|2]), (489,427,[3_1|2]), (490,491,[2_1|2]), (491,492,[3_1|2]), (492,493,[5_1|2]), (493,494,[2_1|2]), (494,495,[2_1|2]), (495,496,[0_1|2]), (496,497,[0_1|2]), (497,498,[0_1|2]), (497,130,[2_1|2]), (497,517,[2_1|3]), (498,111,[0_1|2]), (498,130,[0_1|2, 2_1|2]), (498,139,[0_1|2, 2_1|2]), (498,238,[0_1|2]), (498,247,[0_1|2]), (498,337,[0_1|2]), (498,391,[0_1|2]), (498,122,[0_1|2]), (498,176,[0_1|2]), (498,221,[0_1|2]), (498,509,[0_1|2]), (498,112,[3_1|2]), (498,121,[0_1|2]), (498,148,[3_1|2]), (498,157,[0_1|2]), (498,166,[3_1|2]), (498,175,[0_1|2]), (498,184,[0_1|2]), (498,193,[3_1|2]), (498,202,[3_1|2]), (498,211,[0_1|2]), (498,220,[0_1|2]), (498,229,[0_1|2]), (499,500,[1_1|2]), (500,501,[0_1|2]), (501,502,[1_1|2]), (502,503,[1_1|2]), (503,504,[0_1|2]), (504,505,[0_1|2]), (505,506,[0_1|2]), (506,507,[0_1|2]), (506,112,[3_1|2]), (506,121,[0_1|2]), (506,544,[3_1|3]), (507,111,[1_1|2]), (507,301,[1_1|2]), (507,364,[1_1|2, 4_1|2]), (507,409,[1_1|2]), (507,418,[1_1|2]), (507,454,[1_1|2]), (507,472,[1_1|2]), (507,490,[1_1|2]), (507,355,[1_1|2]), (507,373,[1_1|2]), (507,382,[3_1|2]), (508,509,[2_1|2]), (509,510,[3_1|2]), (510,511,[2_1|2]), (511,512,[0_1|2]), (512,513,[4_1|2]), (513,514,[4_1|2]), (514,515,[5_1|2]), (514,337,[2_1|2]), (515,516,[2_1|2]), (516,111,[4_1|2]), (516,301,[4_1|2]), (516,364,[4_1|2]), (516,409,[4_1|2]), (516,418,[4_1|2]), (516,454,[4_1|2]), (516,472,[4_1|2]), (516,490,[4_1|2]), (516,257,[4_1|2]), (516,464,[4_1|2]), (516,445,[0_1|2]), (516,463,[3_1|2]), (516,481,[0_1|2]), (516,499,[0_1|2]), (516,508,[0_1|2]), (517,518,[5_1|3]), (518,519,[2_1|3]), (519,520,[2_1|3]), (520,521,[3_1|3]), (521,522,[3_1|3]), (522,523,[3_1|3]), (523,524,[5_1|3]), (524,525,[1_1|3]), (525,276,[0_1|3]), (526,527,[3_1|3]), (527,528,[0_1|3]), (528,529,[3_1|3]), (529,530,[3_1|3]), (530,531,[2_1|3]), (531,532,[2_1|3]), (532,533,[0_1|3]), (533,534,[0_1|3]), (534,130,[0_1|3]), (534,139,[0_1|3]), (534,238,[0_1|3]), (534,247,[0_1|3]), (534,337,[0_1|3]), (534,391,[0_1|3]), (534,374,[0_1|3]), (535,536,[3_1|3]), (536,537,[1_1|3]), (537,538,[0_1|3]), (538,539,[0_1|3]), (539,540,[3_1|3]), (540,541,[3_1|3]), (541,542,[3_1|3]), (542,543,[4_1|3]), (543,455,[0_1|3]), (544,545,[3_1|3]), (545,546,[0_1|3]), (546,547,[3_1|3]), (547,548,[3_1|3]), (548,549,[2_1|3]), (549,550,[2_1|3]), (550,551,[0_1|3]), (551,552,[0_1|3]), (552,374,[0_1|3]), (553,554,[3_1|3]), (554,555,[1_1|3]), (555,556,[0_1|3]), (556,557,[0_1|3]), (557,558,[3_1|3]), (558,559,[3_1|3]), (559,560,[3_1|3]), (560,561,[4_1|3]), (561,121,[0_1|3]), (561,157,[0_1|3]), (561,175,[0_1|3]), (561,184,[0_1|3]), (561,211,[0_1|3]), (561,220,[0_1|3]), (561,229,[0_1|3]), (561,445,[0_1|3]), (561,481,[0_1|3]), (561,499,[0_1|3]), (561,508,[0_1|3]), (561,455,[0_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)