WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 72 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 157 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(5(x1)) -> 2(4(5(0(4(2(5(2(3(2(x1)))))))))) 0(5(x1)) -> 3(3(4(2(4(4(3(5(0(2(x1)))))))))) 0(5(x1)) -> 5(1(3(2(4(0(4(1(4(5(x1)))))))))) 1(0(5(x1))) -> 1(1(1(4(4(4(5(5(0(4(x1)))))))))) 1(5(2(x1))) -> 1(1(2(3(3(3(4(4(4(4(x1)))))))))) 0(0(5(3(x1)))) -> 5(4(4(3(3(3(4(3(3(3(x1)))))))))) 0(5(0(5(x1)))) -> 4(4(1(3(0(4(3(4(2(4(x1)))))))))) 0(5(1(4(x1)))) -> 5(3(1(4(4(4(3(4(5(4(x1)))))))))) 1(5(0(5(x1)))) -> 1(3(5(4(2(2(4(5(0(1(x1)))))))))) 2(0(5(5(x1)))) -> 3(5(4(3(3(4(3(3(4(2(x1)))))))))) 4(1(0(5(x1)))) -> 4(0(2(1(3(1(4(5(3(1(x1)))))))))) 0(5(2(0(3(x1))))) -> 3(0(0(1(1(0(4(5(1(3(x1)))))))))) 0(5(2(1(5(x1))))) -> 5(4(0(3(5(4(4(2(2(4(x1)))))))))) 0(5(5(0(5(x1))))) -> 5(3(5(1(4(0(2(5(4(4(x1)))))))))) 1(0(5(1(0(x1))))) -> 0(2(1(3(1(1(4(0(1(0(x1)))))))))) 2(0(5(1(4(x1))))) -> 4(5(5(4(4(5(3(2(2(3(x1)))))))))) 2(1(2(1(2(x1))))) -> 2(3(2(4(2(2(5(3(4(3(x1)))))))))) 4(0(0(5(1(x1))))) -> 1(0(2(4(0(4(2(0(3(0(x1)))))))))) 5(1(3(0(5(x1))))) -> 0(4(0(3(2(5(4(5(3(0(x1)))))))))) 0(0(3(5(0(5(x1)))))) -> 0(4(1(5(2(0(4(2(4(3(x1)))))))))) 0(0(5(3(2(0(x1)))))) -> 0(3(0(4(3(3(0(1(3(0(x1)))))))))) 0(5(0(0(0(5(x1)))))) -> 5(5(0(2(4(4(1(1(3(5(x1)))))))))) 1(0(0(5(5(2(x1)))))) -> 4(5(1(0(2(2(5(3(5(5(x1)))))))))) 1(0(2(2(1(2(x1)))))) -> 1(5(0(2(4(0(4(4(1(2(x1)))))))))) 1(0(5(0(2(0(x1)))))) -> 0(5(0(2(5(1(3(0(3(4(x1)))))))))) 1(3(2(2(2(1(x1)))))) -> 0(1(2(5(0(4(2(5(5(0(x1)))))))))) 2(0(0(5(0(5(x1)))))) -> 4(4(1(5(5(2(5(5(3(5(x1)))))))))) 2(0(3(0(1(2(x1)))))) -> 1(5(1(4(0(3(2(4(0(4(x1)))))))))) 2(1(0(5(0(5(x1)))))) -> 3(4(2(1(0(1(2(4(4(5(x1)))))))))) 4(1(0(5(0(4(x1)))))) -> 4(1(2(1(4(3(0(1(0(4(x1)))))))))) 5(5(0(5(5(1(x1)))))) -> 5(5(5(2(1(2(3(5(4(0(x1)))))))))) 0(0(0(5(4(2(1(x1))))))) -> 5(3(0(2(5(2(1(4(3(2(x1)))))))))) 0(0(0(5(5(1(5(x1))))))) -> 0(4(4(5(3(2(1(2(0(1(x1)))))))))) 0(5(1(2(1(2(4(x1))))))) -> 0(3(5(0(5(4(2(2(3(5(x1)))))))))) 1(0(4(5(5(1(5(x1))))))) -> 1(5(0(4(1(4(4(4(0(4(x1)))))))))) 2(0(0(0(5(2(1(x1))))))) -> 2(2(5(4(1(3(1(4(3(1(x1)))))))))) 2(0(3(0(4(1(5(x1))))))) -> 2(0(1(2(4(3(5(5(3(0(x1)))))))))) 2(2(4(1(0(5(5(x1))))))) -> 4(4(3(3(0(0(2(4(4(2(x1)))))))))) 3(2(0(5(4(1(5(x1))))))) -> 3(5(1(4(2(0(4(3(2(4(x1)))))))))) 3(3(0(1(2(0(3(x1))))))) -> 5(4(4(2(3(5(2(4(0(3(x1)))))))))) 4(0(5(2(0(5(0(x1))))))) -> 4(3(4(5(4(0(5(2(3(0(x1)))))))))) 4(0(5(5(5(0(5(x1))))))) -> 1(3(0(2(3(1(2(0(2(2(x1)))))))))) 5(1(5(0(5(3(5(x1))))))) -> 5(4(3(0(5(4(4(2(0(5(x1)))))))))) 5(2(2(1(0(0(5(x1))))))) -> 5(1(5(4(5(5(3(0(1(4(x1)))))))))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(5(x1)) -> 2(4(5(0(4(2(5(2(3(2(x1)))))))))) 0(5(x1)) -> 3(3(4(2(4(4(3(5(0(2(x1)))))))))) 0(5(x1)) -> 5(1(3(2(4(0(4(1(4(5(x1)))))))))) 1(0(5(x1))) -> 1(1(1(4(4(4(5(5(0(4(x1)))))))))) 1(5(2(x1))) -> 1(1(2(3(3(3(4(4(4(4(x1)))))))))) 0(0(5(3(x1)))) -> 5(4(4(3(3(3(4(3(3(3(x1)))))))))) 0(5(0(5(x1)))) -> 4(4(1(3(0(4(3(4(2(4(x1)))))))))) 0(5(1(4(x1)))) -> 5(3(1(4(4(4(3(4(5(4(x1)))))))))) 1(5(0(5(x1)))) -> 1(3(5(4(2(2(4(5(0(1(x1)))))))))) 2(0(5(5(x1)))) -> 3(5(4(3(3(4(3(3(4(2(x1)))))))))) 4(1(0(5(x1)))) -> 4(0(2(1(3(1(4(5(3(1(x1)))))))))) 0(5(2(0(3(x1))))) -> 3(0(0(1(1(0(4(5(1(3(x1)))))))))) 0(5(2(1(5(x1))))) -> 5(4(0(3(5(4(4(2(2(4(x1)))))))))) 0(5(5(0(5(x1))))) -> 5(3(5(1(4(0(2(5(4(4(x1)))))))))) 1(0(5(1(0(x1))))) -> 0(2(1(3(1(1(4(0(1(0(x1)))))))))) 2(0(5(1(4(x1))))) -> 4(5(5(4(4(5(3(2(2(3(x1)))))))))) 2(1(2(1(2(x1))))) -> 2(3(2(4(2(2(5(3(4(3(x1)))))))))) 4(0(0(5(1(x1))))) -> 1(0(2(4(0(4(2(0(3(0(x1)))))))))) 5(1(3(0(5(x1))))) -> 0(4(0(3(2(5(4(5(3(0(x1)))))))))) 0(0(3(5(0(5(x1)))))) -> 0(4(1(5(2(0(4(2(4(3(x1)))))))))) 0(0(5(3(2(0(x1)))))) -> 0(3(0(4(3(3(0(1(3(0(x1)))))))))) 0(5(0(0(0(5(x1)))))) -> 5(5(0(2(4(4(1(1(3(5(x1)))))))))) 1(0(0(5(5(2(x1)))))) -> 4(5(1(0(2(2(5(3(5(5(x1)))))))))) 1(0(2(2(1(2(x1)))))) -> 1(5(0(2(4(0(4(4(1(2(x1)))))))))) 1(0(5(0(2(0(x1)))))) -> 0(5(0(2(5(1(3(0(3(4(x1)))))))))) 1(3(2(2(2(1(x1)))))) -> 0(1(2(5(0(4(2(5(5(0(x1)))))))))) 2(0(0(5(0(5(x1)))))) -> 4(4(1(5(5(2(5(5(3(5(x1)))))))))) 2(0(3(0(1(2(x1)))))) -> 1(5(1(4(0(3(2(4(0(4(x1)))))))))) 2(1(0(5(0(5(x1)))))) -> 3(4(2(1(0(1(2(4(4(5(x1)))))))))) 4(1(0(5(0(4(x1)))))) -> 4(1(2(1(4(3(0(1(0(4(x1)))))))))) 5(5(0(5(5(1(x1)))))) -> 5(5(5(2(1(2(3(5(4(0(x1)))))))))) 0(0(0(5(4(2(1(x1))))))) -> 5(3(0(2(5(2(1(4(3(2(x1)))))))))) 0(0(0(5(5(1(5(x1))))))) -> 0(4(4(5(3(2(1(2(0(1(x1)))))))))) 0(5(1(2(1(2(4(x1))))))) -> 0(3(5(0(5(4(2(2(3(5(x1)))))))))) 1(0(4(5(5(1(5(x1))))))) -> 1(5(0(4(1(4(4(4(0(4(x1)))))))))) 2(0(0(0(5(2(1(x1))))))) -> 2(2(5(4(1(3(1(4(3(1(x1)))))))))) 2(0(3(0(4(1(5(x1))))))) -> 2(0(1(2(4(3(5(5(3(0(x1)))))))))) 2(2(4(1(0(5(5(x1))))))) -> 4(4(3(3(0(0(2(4(4(2(x1)))))))))) 3(2(0(5(4(1(5(x1))))))) -> 3(5(1(4(2(0(4(3(2(4(x1)))))))))) 3(3(0(1(2(0(3(x1))))))) -> 5(4(4(2(3(5(2(4(0(3(x1)))))))))) 4(0(5(2(0(5(0(x1))))))) -> 4(3(4(5(4(0(5(2(3(0(x1)))))))))) 4(0(5(5(5(0(5(x1))))))) -> 1(3(0(2(3(1(2(0(2(2(x1)))))))))) 5(1(5(0(5(3(5(x1))))))) -> 5(4(3(0(5(4(4(2(0(5(x1)))))))))) 5(2(2(1(0(0(5(x1))))))) -> 5(1(5(4(5(5(3(0(1(4(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(5(x1)) -> 2(4(5(0(4(2(5(2(3(2(x1)))))))))) 0(5(x1)) -> 3(3(4(2(4(4(3(5(0(2(x1)))))))))) 0(5(x1)) -> 5(1(3(2(4(0(4(1(4(5(x1)))))))))) 1(0(5(x1))) -> 1(1(1(4(4(4(5(5(0(4(x1)))))))))) 1(5(2(x1))) -> 1(1(2(3(3(3(4(4(4(4(x1)))))))))) 0(0(5(3(x1)))) -> 5(4(4(3(3(3(4(3(3(3(x1)))))))))) 0(5(0(5(x1)))) -> 4(4(1(3(0(4(3(4(2(4(x1)))))))))) 0(5(1(4(x1)))) -> 5(3(1(4(4(4(3(4(5(4(x1)))))))))) 1(5(0(5(x1)))) -> 1(3(5(4(2(2(4(5(0(1(x1)))))))))) 2(0(5(5(x1)))) -> 3(5(4(3(3(4(3(3(4(2(x1)))))))))) 4(1(0(5(x1)))) -> 4(0(2(1(3(1(4(5(3(1(x1)))))))))) 0(5(2(0(3(x1))))) -> 3(0(0(1(1(0(4(5(1(3(x1)))))))))) 0(5(2(1(5(x1))))) -> 5(4(0(3(5(4(4(2(2(4(x1)))))))))) 0(5(5(0(5(x1))))) -> 5(3(5(1(4(0(2(5(4(4(x1)))))))))) 1(0(5(1(0(x1))))) -> 0(2(1(3(1(1(4(0(1(0(x1)))))))))) 2(0(5(1(4(x1))))) -> 4(5(5(4(4(5(3(2(2(3(x1)))))))))) 2(1(2(1(2(x1))))) -> 2(3(2(4(2(2(5(3(4(3(x1)))))))))) 4(0(0(5(1(x1))))) -> 1(0(2(4(0(4(2(0(3(0(x1)))))))))) 5(1(3(0(5(x1))))) -> 0(4(0(3(2(5(4(5(3(0(x1)))))))))) 0(0(3(5(0(5(x1)))))) -> 0(4(1(5(2(0(4(2(4(3(x1)))))))))) 0(0(5(3(2(0(x1)))))) -> 0(3(0(4(3(3(0(1(3(0(x1)))))))))) 0(5(0(0(0(5(x1)))))) -> 5(5(0(2(4(4(1(1(3(5(x1)))))))))) 1(0(0(5(5(2(x1)))))) -> 4(5(1(0(2(2(5(3(5(5(x1)))))))))) 1(0(2(2(1(2(x1)))))) -> 1(5(0(2(4(0(4(4(1(2(x1)))))))))) 1(0(5(0(2(0(x1)))))) -> 0(5(0(2(5(1(3(0(3(4(x1)))))))))) 1(3(2(2(2(1(x1)))))) -> 0(1(2(5(0(4(2(5(5(0(x1)))))))))) 2(0(0(5(0(5(x1)))))) -> 4(4(1(5(5(2(5(5(3(5(x1)))))))))) 2(0(3(0(1(2(x1)))))) -> 1(5(1(4(0(3(2(4(0(4(x1)))))))))) 2(1(0(5(0(5(x1)))))) -> 3(4(2(1(0(1(2(4(4(5(x1)))))))))) 4(1(0(5(0(4(x1)))))) -> 4(1(2(1(4(3(0(1(0(4(x1)))))))))) 5(5(0(5(5(1(x1)))))) -> 5(5(5(2(1(2(3(5(4(0(x1)))))))))) 0(0(0(5(4(2(1(x1))))))) -> 5(3(0(2(5(2(1(4(3(2(x1)))))))))) 0(0(0(5(5(1(5(x1))))))) -> 0(4(4(5(3(2(1(2(0(1(x1)))))))))) 0(5(1(2(1(2(4(x1))))))) -> 0(3(5(0(5(4(2(2(3(5(x1)))))))))) 1(0(4(5(5(1(5(x1))))))) -> 1(5(0(4(1(4(4(4(0(4(x1)))))))))) 2(0(0(0(5(2(1(x1))))))) -> 2(2(5(4(1(3(1(4(3(1(x1)))))))))) 2(0(3(0(4(1(5(x1))))))) -> 2(0(1(2(4(3(5(5(3(0(x1)))))))))) 2(2(4(1(0(5(5(x1))))))) -> 4(4(3(3(0(0(2(4(4(2(x1)))))))))) 3(2(0(5(4(1(5(x1))))))) -> 3(5(1(4(2(0(4(3(2(4(x1)))))))))) 3(3(0(1(2(0(3(x1))))))) -> 5(4(4(2(3(5(2(4(0(3(x1)))))))))) 4(0(5(2(0(5(0(x1))))))) -> 4(3(4(5(4(0(5(2(3(0(x1)))))))))) 4(0(5(5(5(0(5(x1))))))) -> 1(3(0(2(3(1(2(0(2(2(x1)))))))))) 5(1(5(0(5(3(5(x1))))))) -> 5(4(3(0(5(4(4(2(0(5(x1)))))))))) 5(2(2(1(0(0(5(x1))))))) -> 5(1(5(4(5(5(3(0(1(4(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) Rewrite Strategy: INNERMOST ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^1). The TRS R consists of the following rules: 0(5(x1)) -> 2(4(5(0(4(2(5(2(3(2(x1)))))))))) 0(5(x1)) -> 3(3(4(2(4(4(3(5(0(2(x1)))))))))) 0(5(x1)) -> 5(1(3(2(4(0(4(1(4(5(x1)))))))))) 1(0(5(x1))) -> 1(1(1(4(4(4(5(5(0(4(x1)))))))))) 1(5(2(x1))) -> 1(1(2(3(3(3(4(4(4(4(x1)))))))))) 0(0(5(3(x1)))) -> 5(4(4(3(3(3(4(3(3(3(x1)))))))))) 0(5(0(5(x1)))) -> 4(4(1(3(0(4(3(4(2(4(x1)))))))))) 0(5(1(4(x1)))) -> 5(3(1(4(4(4(3(4(5(4(x1)))))))))) 1(5(0(5(x1)))) -> 1(3(5(4(2(2(4(5(0(1(x1)))))))))) 2(0(5(5(x1)))) -> 3(5(4(3(3(4(3(3(4(2(x1)))))))))) 4(1(0(5(x1)))) -> 4(0(2(1(3(1(4(5(3(1(x1)))))))))) 0(5(2(0(3(x1))))) -> 3(0(0(1(1(0(4(5(1(3(x1)))))))))) 0(5(2(1(5(x1))))) -> 5(4(0(3(5(4(4(2(2(4(x1)))))))))) 0(5(5(0(5(x1))))) -> 5(3(5(1(4(0(2(5(4(4(x1)))))))))) 1(0(5(1(0(x1))))) -> 0(2(1(3(1(1(4(0(1(0(x1)))))))))) 2(0(5(1(4(x1))))) -> 4(5(5(4(4(5(3(2(2(3(x1)))))))))) 2(1(2(1(2(x1))))) -> 2(3(2(4(2(2(5(3(4(3(x1)))))))))) 4(0(0(5(1(x1))))) -> 1(0(2(4(0(4(2(0(3(0(x1)))))))))) 5(1(3(0(5(x1))))) -> 0(4(0(3(2(5(4(5(3(0(x1)))))))))) 0(0(3(5(0(5(x1)))))) -> 0(4(1(5(2(0(4(2(4(3(x1)))))))))) 0(0(5(3(2(0(x1)))))) -> 0(3(0(4(3(3(0(1(3(0(x1)))))))))) 0(5(0(0(0(5(x1)))))) -> 5(5(0(2(4(4(1(1(3(5(x1)))))))))) 1(0(0(5(5(2(x1)))))) -> 4(5(1(0(2(2(5(3(5(5(x1)))))))))) 1(0(2(2(1(2(x1)))))) -> 1(5(0(2(4(0(4(4(1(2(x1)))))))))) 1(0(5(0(2(0(x1)))))) -> 0(5(0(2(5(1(3(0(3(4(x1)))))))))) 1(3(2(2(2(1(x1)))))) -> 0(1(2(5(0(4(2(5(5(0(x1)))))))))) 2(0(0(5(0(5(x1)))))) -> 4(4(1(5(5(2(5(5(3(5(x1)))))))))) 2(0(3(0(1(2(x1)))))) -> 1(5(1(4(0(3(2(4(0(4(x1)))))))))) 2(1(0(5(0(5(x1)))))) -> 3(4(2(1(0(1(2(4(4(5(x1)))))))))) 4(1(0(5(0(4(x1)))))) -> 4(1(2(1(4(3(0(1(0(4(x1)))))))))) 5(5(0(5(5(1(x1)))))) -> 5(5(5(2(1(2(3(5(4(0(x1)))))))))) 0(0(0(5(4(2(1(x1))))))) -> 5(3(0(2(5(2(1(4(3(2(x1)))))))))) 0(0(0(5(5(1(5(x1))))))) -> 0(4(4(5(3(2(1(2(0(1(x1)))))))))) 0(5(1(2(1(2(4(x1))))))) -> 0(3(5(0(5(4(2(2(3(5(x1)))))))))) 1(0(4(5(5(1(5(x1))))))) -> 1(5(0(4(1(4(4(4(0(4(x1)))))))))) 2(0(0(0(5(2(1(x1))))))) -> 2(2(5(4(1(3(1(4(3(1(x1)))))))))) 2(0(3(0(4(1(5(x1))))))) -> 2(0(1(2(4(3(5(5(3(0(x1)))))))))) 2(2(4(1(0(5(5(x1))))))) -> 4(4(3(3(0(0(2(4(4(2(x1)))))))))) 3(2(0(5(4(1(5(x1))))))) -> 3(5(1(4(2(0(4(3(2(4(x1)))))))))) 3(3(0(1(2(0(3(x1))))))) -> 5(4(4(2(3(5(2(4(0(3(x1)))))))))) 4(0(5(2(0(5(0(x1))))))) -> 4(3(4(5(4(0(5(2(3(0(x1)))))))))) 4(0(5(5(5(0(5(x1))))))) -> 1(3(0(2(3(1(2(0(2(2(x1)))))))))) 5(1(5(0(5(3(5(x1))))))) -> 5(4(3(0(5(4(4(2(0(5(x1)))))))))) 5(2(2(1(0(0(5(x1))))))) -> 5(1(5(4(5(5(3(0(1(4(x1)))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_4(x_1)) -> 4(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (7) CpxTrsMatchBoundsProof (FINISHED) A linear upper bound on the runtime complexity of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 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, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828] {(151,152,[0_1|0, 1_1|0, 2_1|0, 4_1|0, 5_1|0, 3_1|0, encArg_1|0, encode_0_1|0, encode_5_1|0, encode_2_1|0, encode_4_1|0, encode_3_1|0, encode_1_1|0]), (151,153,[0_1|1, 1_1|1, 2_1|1, 4_1|1, 5_1|1, 3_1|1]), (151,154,[2_1|2]), (151,163,[3_1|2]), (151,172,[5_1|2]), (151,181,[4_1|2]), (151,190,[5_1|2]), (151,199,[5_1|2]), (151,208,[0_1|2]), (151,217,[3_1|2]), (151,226,[5_1|2]), (151,235,[5_1|2]), (151,244,[5_1|2]), (151,253,[0_1|2]), (151,262,[0_1|2]), (151,271,[5_1|2]), (151,280,[0_1|2]), (151,289,[1_1|2]), (151,298,[0_1|2]), (151,307,[0_1|2]), (151,316,[4_1|2]), (151,325,[1_1|2]), (151,334,[1_1|2]), 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(512,217,[3_1|2]), (512,226,[5_1|2]), (512,235,[5_1|2]), (512,766,[4_1|3]), (512,811,[5_1|3]), (513,153,[5_1|2]), (513,172,[5_1|2]), (513,190,[5_1|2]), (513,199,[5_1|2]), (513,226,[5_1|2]), (513,235,[5_1|2]), (513,244,[5_1|2]), (513,271,[5_1|2]), (513,505,[5_1|2]), (513,514,[5_1|2]), (513,523,[5_1|2]), (513,541,[5_1|2]), (513,371,[5_1|2]), (513,533,[5_1|2]), (513,237,[5_1|2]), (513,496,[0_1|2]), (513,568,[5_1|2]), (514,515,[5_1|2]), (515,516,[5_1|2]), (516,517,[2_1|2]), (517,518,[1_1|2]), (518,519,[2_1|2]), (519,520,[3_1|2]), (520,521,[5_1|2]), (521,522,[4_1|2]), (521,469,[1_1|2]), (521,478,[4_1|2]), (521,487,[1_1|2]), (522,153,[0_1|2]), (522,289,[0_1|2]), (522,325,[0_1|2]), (522,334,[0_1|2]), (522,343,[0_1|2]), (522,352,[0_1|2]), (522,406,[0_1|2]), (522,469,[0_1|2]), (522,487,[0_1|2]), (522,173,[0_1|2]), (522,524,[0_1|2]), (522,154,[2_1|2]), (522,163,[3_1|2]), (522,172,[5_1|2]), (522,181,[4_1|2]), (522,190,[5_1|2]), (522,199,[5_1|2]), (522,208,[0_1|2]), (522,217,[3_1|2]), (522,226,[5_1|2]), (522,235,[5_1|2]), (522,244,[5_1|2]), (522,253,[0_1|2]), (522,262,[0_1|2]), (522,271,[5_1|2]), (522,280,[0_1|2]), (522,613,[2_1|3]), (522,622,[3_1|3]), (522,631,[5_1|3]), (522,640,[0_1|3]), (522,569,[0_1|2]), (522,775,[5_1|3]), (523,524,[1_1|2]), (524,525,[5_1|2]), (525,526,[4_1|2]), (526,527,[5_1|2]), (527,528,[5_1|2]), (528,529,[3_1|2]), (529,530,[0_1|2]), (530,531,[1_1|2]), (531,153,[4_1|2]), (531,172,[4_1|2]), (531,190,[4_1|2]), (531,199,[4_1|2]), (531,226,[4_1|2]), (531,235,[4_1|2]), (531,244,[4_1|2]), (531,271,[4_1|2]), (531,505,[4_1|2]), (531,514,[4_1|2]), (531,523,[4_1|2]), (531,541,[4_1|2]), (531,308,[4_1|2]), (531,451,[4_1|2]), (531,460,[4_1|2]), (531,469,[1_1|2]), (531,478,[4_1|2]), (531,487,[1_1|2]), (531,568,[4_1|2]), (532,533,[5_1|2]), (533,534,[1_1|2]), (534,535,[4_1|2]), (535,536,[2_1|2]), (536,537,[0_1|2]), (537,538,[4_1|2]), (538,539,[3_1|2]), (539,540,[2_1|2]), (540,153,[4_1|2]), (540,172,[4_1|2]), (540,190,[4_1|2]), (540,199,[4_1|2]), (540,226,[4_1|2]), (540,235,[4_1|2]), (540,244,[4_1|2]), (540,271,[4_1|2]), (540,505,[4_1|2]), (540,514,[4_1|2]), (540,523,[4_1|2]), (540,541,[4_1|2]), (540,326,[4_1|2]), (540,335,[4_1|2]), (540,407,[4_1|2]), (540,451,[4_1|2]), (540,460,[4_1|2]), (540,469,[1_1|2]), (540,478,[4_1|2]), (540,487,[1_1|2]), (540,568,[4_1|2]), (541,542,[4_1|2]), (542,543,[4_1|2]), (543,544,[2_1|2]), (544,545,[3_1|2]), (545,546,[5_1|2]), (546,547,[2_1|2]), (547,548,[4_1|2]), (548,549,[0_1|2]), (548,613,[2_1|3]), (548,622,[3_1|3]), (548,631,[5_1|3]), (549,153,[3_1|2]), (549,163,[3_1|2]), (549,217,[3_1|2]), (549,370,[3_1|2]), (549,433,[3_1|2]), (549,532,[3_1|2]), (549,209,[3_1|2]), (549,254,[3_1|2]), (549,541,[5_1|2]), (549,559,[3_1|2]), (550,551,[4_1|3]), (551,552,[5_1|3]), (552,553,[0_1|3]), (553,554,[4_1|3]), (554,555,[2_1|3]), (555,556,[5_1|3]), (556,557,[2_1|3]), (557,558,[3_1|3]), (558,308,[2_1|3]), (559,560,[3_1|3]), (560,561,[4_1|3]), (561,562,[2_1|3]), (562,563,[4_1|3]), (563,564,[4_1|3]), (564,565,[3_1|3]), (565,566,[5_1|3]), (566,567,[0_1|3]), (567,308,[2_1|3]), (568,569,[1_1|3]), (569,570,[3_1|3]), (570,571,[2_1|3]), (571,572,[4_1|3]), (572,573,[0_1|3]), (573,574,[4_1|3]), (574,575,[1_1|3]), (575,576,[4_1|3]), (576,308,[5_1|3]), (577,578,[4_1|3]), (578,579,[5_1|3]), (579,580,[0_1|3]), (580,581,[4_1|3]), (581,582,[2_1|3]), (582,583,[5_1|3]), (583,584,[2_1|3]), (584,585,[3_1|3]), (585,212,[2_1|3]), (586,587,[3_1|3]), (587,588,[4_1|3]), (588,589,[2_1|3]), (589,590,[4_1|3]), (590,591,[4_1|3]), (591,592,[3_1|3]), (592,593,[5_1|3]), (593,594,[0_1|3]), (594,212,[2_1|3]), (595,596,[1_1|3]), (596,597,[3_1|3]), (597,598,[2_1|3]), (598,599,[4_1|3]), (599,600,[0_1|3]), (600,601,[4_1|3]), (601,602,[1_1|3]), (602,603,[4_1|3]), (603,212,[5_1|3]), (604,605,[4_1|3]), (605,606,[0_1|3]), (606,607,[3_1|3]), (607,608,[2_1|3]), (608,609,[5_1|3]), (609,610,[4_1|3]), (610,611,[5_1|3]), (611,612,[3_1|3]), (612,308,[0_1|3]), (613,614,[4_1|3]), (614,615,[5_1|3]), (615,616,[0_1|3]), (616,617,[4_1|3]), (617,618,[2_1|3]), (618,619,[5_1|3]), (619,620,[2_1|3]), (620,621,[3_1|3]), (621,172,[2_1|3]), (621,190,[2_1|3]), (621,199,[2_1|3]), (621,226,[2_1|3]), (621,235,[2_1|3]), (621,244,[2_1|3]), (621,271,[2_1|3]), (621,505,[2_1|3]), (621,514,[2_1|3]), (621,523,[2_1|3]), (621,541,[2_1|3]), (621,568,[2_1|3]), (621,308,[2_1|3]), (621,326,[2_1|3]), (621,335,[2_1|3]), (621,407,[2_1|3]), (621,191,[2_1|3]), (621,515,[2_1|3]), (621,525,[2_1|3]), (622,623,[3_1|3]), (623,624,[4_1|3]), (624,625,[2_1|3]), (625,626,[4_1|3]), (626,627,[4_1|3]), (627,628,[3_1|3]), (628,629,[5_1|3]), (629,630,[0_1|3]), (630,172,[2_1|3]), (630,190,[2_1|3]), (630,199,[2_1|3]), (630,226,[2_1|3]), (630,235,[2_1|3]), (630,244,[2_1|3]), (630,271,[2_1|3]), (630,505,[2_1|3]), (630,514,[2_1|3]), (630,523,[2_1|3]), (630,541,[2_1|3]), (630,568,[2_1|3]), (630,308,[2_1|3]), (630,326,[2_1|3]), (630,335,[2_1|3]), (630,407,[2_1|3]), (630,191,[2_1|3]), (630,515,[2_1|3]), (630,525,[2_1|3]), (631,632,[1_1|3]), (632,633,[3_1|3]), (633,634,[2_1|3]), (634,635,[4_1|3]), (635,636,[0_1|3]), (636,637,[4_1|3]), (637,638,[1_1|3]), (638,639,[4_1|3]), (639,172,[5_1|3]), (639,190,[5_1|3]), (639,199,[5_1|3]), (639,226,[5_1|3]), (639,235,[5_1|3]), (639,244,[5_1|3]), (639,271,[5_1|3]), (639,505,[5_1|3]), (639,514,[5_1|3]), (639,523,[5_1|3]), (639,541,[5_1|3]), (639,568,[5_1|3]), (639,308,[5_1|3]), (639,326,[5_1|3]), (639,335,[5_1|3]), (639,407,[5_1|3]), (639,191,[5_1|3]), (639,515,[5_1|3]), (639,525,[5_1|3]), (640,641,[4_1|3]), (641,642,[1_1|3]), (641,820,[1_1|4]), (642,643,[5_1|3]), (643,644,[2_1|3]), (644,645,[0_1|3]), (645,646,[4_1|3]), (646,647,[2_1|3]), (647,648,[4_1|3]), (648,212,[3_1|3]), (649,650,[1_1|3]), (650,651,[2_1|3]), (651,652,[3_1|3]), (652,653,[3_1|3]), (653,654,[3_1|3]), (654,655,[4_1|3]), (655,656,[4_1|3]), (656,657,[4_1|3]), (657,266,[4_1|3]), (658,659,[1_1|3]), (659,660,[1_1|3]), (660,661,[4_1|3]), (661,662,[4_1|3]), (662,663,[4_1|3]), (663,664,[5_1|3]), (664,665,[5_1|3]), (665,666,[0_1|3]), (666,308,[4_1|3]), (667,668,[1_1|3]), (668,669,[1_1|3]), (669,670,[4_1|3]), (670,671,[4_1|3]), (671,672,[4_1|3]), (672,673,[5_1|3]), (673,674,[5_1|3]), (674,675,[0_1|3]), (675,172,[4_1|3]), (675,190,[4_1|3]), (675,199,[4_1|3]), (675,226,[4_1|3]), (675,235,[4_1|3]), (675,244,[4_1|3]), (675,271,[4_1|3]), (675,505,[4_1|3]), (675,514,[4_1|3]), (675,523,[4_1|3]), (675,541,[4_1|3]), (675,568,[4_1|3]), (675,308,[4_1|3]), (676,677,[4_1|3]), (677,678,[5_1|3]), (678,679,[0_1|3]), (679,680,[4_1|3]), (680,681,[2_1|3]), (681,682,[5_1|3]), (682,683,[2_1|3]), (683,684,[3_1|3]), (684,484,[2_1|3]), (685,686,[3_1|3]), (686,687,[4_1|3]), (687,688,[2_1|3]), (688,689,[4_1|3]), (689,690,[4_1|3]), (690,691,[3_1|3]), (691,692,[5_1|3]), (692,693,[0_1|3]), (693,484,[2_1|3]), (694,695,[1_1|3]), (695,696,[3_1|3]), (696,697,[2_1|3]), (697,698,[4_1|3]), (698,699,[0_1|3]), (699,700,[4_1|3]), (700,701,[1_1|3]), (701,702,[4_1|3]), (702,484,[5_1|3]), (703,704,[4_1|3]), (704,705,[5_1|3]), (705,706,[0_1|3]), (706,707,[4_1|3]), (707,708,[2_1|3]), (708,709,[5_1|3]), (709,710,[2_1|3]), (710,711,[3_1|3]), (711,509,[2_1|3]), (712,713,[3_1|3]), (713,714,[4_1|3]), (714,715,[2_1|3]), (715,716,[4_1|3]), (716,717,[4_1|3]), (717,718,[3_1|3]), (718,719,[5_1|3]), (719,720,[0_1|3]), (720,509,[2_1|3]), (721,722,[1_1|3]), (722,723,[3_1|3]), (723,724,[2_1|3]), (724,725,[4_1|3]), (725,726,[0_1|3]), (726,727,[4_1|3]), (727,728,[1_1|3]), (728,729,[4_1|3]), (729,509,[5_1|3]), (730,731,[5_1|3]), (731,732,[4_1|3]), (732,733,[3_1|3]), (733,734,[3_1|3]), (734,735,[4_1|3]), (735,736,[3_1|3]), (736,737,[3_1|3]), (737,738,[4_1|3]), (738,172,[2_1|3]), (738,190,[2_1|3]), (738,199,[2_1|3]), (738,226,[2_1|3]), (738,235,[2_1|3]), (738,244,[2_1|3]), (738,271,[2_1|3]), (738,505,[2_1|3]), (738,514,[2_1|3]), (738,523,[2_1|3]), (738,541,[2_1|3]), (738,568,[2_1|3]), (738,191,[2_1|3]), (738,515,[2_1|3]), (739,740,[4_1|3]), (740,741,[5_1|3]), (741,742,[0_1|3]), (742,743,[4_1|3]), (743,744,[2_1|3]), (744,745,[5_1|3]), (745,746,[2_1|3]), (746,747,[3_1|3]), (746,532,[3_1|2]), (747,153,[2_1|3]), (747,172,[2_1|3]), (747,190,[2_1|3]), (747,199,[2_1|3]), (747,226,[2_1|3]), (747,235,[2_1|3]), (747,244,[2_1|3]), (747,271,[2_1|3]), (747,505,[2_1|3]), (747,514,[2_1|3]), (747,523,[2_1|3]), (747,541,[2_1|3]), (747,371,[2_1|3]), (747,533,[2_1|3]), (747,237,[2_1|3]), (747,370,[3_1|2]), (747,379,[4_1|2]), (747,388,[4_1|2]), (747,397,[2_1|2]), (747,406,[1_1|2]), (747,415,[2_1|2]), (747,424,[2_1|2]), (747,433,[3_1|2]), (747,442,[4_1|2]), (747,568,[2_1|3]), (748,749,[3_1|3]), (749,750,[4_1|3]), (750,751,[2_1|3]), (751,752,[4_1|3]), (752,753,[4_1|3]), (753,754,[3_1|3]), (754,755,[5_1|3]), (755,756,[0_1|3]), (756,153,[2_1|3]), (756,172,[2_1|3]), (756,190,[2_1|3]), (756,199,[2_1|3]), (756,226,[2_1|3]), (756,235,[2_1|3]), (756,244,[2_1|3]), (756,271,[2_1|3]), (756,505,[2_1|3]), (756,514,[2_1|3]), (756,523,[2_1|3]), (756,541,[2_1|3]), (756,371,[2_1|3]), (756,533,[2_1|3]), (756,237,[2_1|3]), (756,370,[3_1|2]), (756,379,[4_1|2]), (756,388,[4_1|2]), (756,397,[2_1|2]), (756,406,[1_1|2]), (756,415,[2_1|2]), (756,424,[2_1|2]), (756,433,[3_1|2]), (756,442,[4_1|2]), (756,568,[2_1|3]), (757,758,[1_1|3]), (758,759,[3_1|3]), (759,760,[2_1|3]), (760,761,[4_1|3]), (761,762,[0_1|3]), (762,763,[4_1|3]), (763,764,[1_1|3]), (764,765,[4_1|3]), (765,153,[5_1|3]), (765,172,[5_1|3]), (765,190,[5_1|3]), (765,199,[5_1|3]), (765,226,[5_1|3]), (765,235,[5_1|3]), (765,244,[5_1|3]), (765,271,[5_1|3]), (765,505,[5_1|3, 5_1|2]), (765,514,[5_1|3, 5_1|2]), (765,523,[5_1|3, 5_1|2]), (765,541,[5_1|3]), (765,371,[5_1|3]), (765,533,[5_1|3]), (765,237,[5_1|3]), (765,496,[0_1|2]), (765,568,[5_1|3]), (766,767,[4_1|3]), (767,768,[1_1|3]), (768,769,[3_1|3]), (769,770,[0_1|3]), (770,771,[4_1|3]), (771,772,[3_1|3]), (772,773,[4_1|3]), (773,774,[2_1|3]), (774,308,[4_1|3]), (775,776,[3_1|3]), (776,777,[1_1|3]), (777,778,[4_1|3]), (778,779,[4_1|3]), (779,780,[4_1|3]), (780,781,[3_1|3]), (781,782,[4_1|3]), (782,783,[5_1|3]), (783,409,[4_1|3]), (784,785,[5_1|3]), (785,786,[1_1|3]), (786,787,[4_1|3]), (787,788,[0_1|3]), (788,789,[3_1|3]), (789,790,[2_1|3]), (790,791,[4_1|3]), (791,792,[0_1|3]), (792,345,[4_1|3]), (793,794,[0_1|3]), (794,795,[1_1|3]), (795,796,[2_1|3]), (796,797,[4_1|3]), (797,798,[3_1|3]), (798,799,[5_1|3]), (799,800,[5_1|3]), (800,801,[3_1|3]), (801,265,[0_1|3]), (801,643,[0_1|3]), (802,803,[5_1|3]), (803,804,[5_1|3]), (804,805,[4_1|3]), (805,806,[4_1|3]), (806,807,[5_1|3]), (807,808,[3_1|3]), (808,809,[2_1|3]), (809,810,[2_1|3]), (810,535,[3_1|3]), (810,239,[3_1|3]), (811,812,[3_1|3]), (812,813,[1_1|3]), (813,814,[4_1|3]), (814,815,[4_1|3]), (815,816,[4_1|3]), (816,817,[3_1|3]), (817,818,[4_1|3]), (818,819,[5_1|3]), (819,535,[4_1|3]), (819,239,[4_1|3]), (820,821,[1_1|4]), (821,822,[2_1|4]), (822,823,[3_1|4]), (823,824,[3_1|4]), (824,825,[3_1|4]), (825,826,[4_1|4]), (826,827,[4_1|4]), (827,828,[4_1|4]), (828,644,[4_1|4])}" ---------------------------------------- (8) BOUNDS(1, n^1)