/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 69 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 159 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(1(2(x1))) -> 2(1(0(3(x1)))) 0(1(2(x1))) -> 2(1(3(0(x1)))) 0(1(2(x1))) -> 2(1(3(0(4(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(4(x1)))))) 0(0(1(2(x1)))) -> 0(2(1(0(3(x1))))) 0(1(1(2(x1)))) -> 1(0(4(1(2(x1))))) 0(1(1(2(x1)))) -> 1(2(1(0(3(x1))))) 0(1(2(0(x1)))) -> 2(1(0(3(0(3(x1)))))) 0(1(2(5(x1)))) -> 2(1(0(3(5(x1))))) 0(1(2(5(x1)))) -> 5(1(0(3(2(x1))))) 0(1(4(2(x1)))) -> 2(1(3(4(0(x1))))) 0(1(4(2(x1)))) -> 2(4(1(0(3(x1))))) 0(1(4(2(x1)))) -> 0(2(1(0(3(4(x1)))))) 2(1(1(5(x1)))) -> 2(5(1(4(1(x1))))) 2(1(1(5(x1)))) -> 5(1(3(2(1(x1))))) 2(1(2(0(x1)))) -> 2(2(1(0(3(x1))))) 2(3(5(5(x1)))) -> 5(1(0(3(2(5(x1)))))) 2(5(3(2(x1)))) -> 5(1(3(2(2(x1))))) 5(1(2(0(x1)))) -> 2(5(1(0(3(x1))))) 0(1(0(1(2(x1))))) -> 0(2(1(1(3(0(x1)))))) 0(1(1(2(5(x1))))) -> 0(1(3(5(1(2(x1)))))) 0(1(1(4(2(x1))))) -> 4(1(0(3(2(1(x1)))))) 0(1(1(5(0(x1))))) -> 0(1(0(5(4(1(x1)))))) 0(1(1(5(4(x1))))) -> 1(4(1(0(3(5(x1)))))) 0(1(2(3(5(x1))))) -> 0(1(3(4(5(2(x1)))))) 0(1(2(3(5(x1))))) -> 0(2(5(1(0(3(x1)))))) 0(1(2(3(5(x1))))) -> 1(0(3(0(2(5(x1)))))) 0(1(2(3(5(x1))))) -> 5(1(3(0(2(0(x1)))))) 0(1(4(0(2(x1))))) -> 4(0(1(3(0(2(x1)))))) 0(1(4(0(2(x1))))) -> 4(0(2(1(3(0(x1)))))) 0(4(5(3(5(x1))))) -> 5(1(0(3(4(5(x1)))))) 2(1(0(1(5(x1))))) -> 1(0(3(2(5(1(x1)))))) 2(1(4(3(5(x1))))) -> 1(3(5(4(4(2(x1)))))) 2(1(4(3(5(x1))))) -> 5(4(4(1(3(2(x1)))))) 2(1(4(5(0(x1))))) -> 2(4(1(0(3(5(x1)))))) 2(2(3(5(0(x1))))) -> 5(2(4(2(0(3(x1)))))) 2(2(4(3(5(x1))))) -> 5(1(3(4(2(2(x1)))))) 2(3(1(1(2(x1))))) -> 1(3(2(1(2(0(x1)))))) 2(3(1(1(2(x1))))) -> 4(1(2(2(1(3(x1)))))) 2(3(2(0(5(x1))))) -> 2(2(1(0(3(5(x1)))))) 2(3(3(1(5(x1))))) -> 1(3(5(1(3(2(x1)))))) 2(5(0(3(5(x1))))) -> 5(2(1(3(0(5(x1)))))) 4(2(0(1(2(x1))))) -> 4(2(2(1(3(0(x1)))))) 5(0(1(2(2(x1))))) -> 4(1(5(2(0(2(x1)))))) 5(1(4(2(2(x1))))) -> 5(1(3(2(4(2(x1)))))) 5(1(4(3(2(x1))))) -> 4(5(1(3(4(2(x1)))))) 5(5(4(3(2(x1))))) -> 5(1(3(4(5(2(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(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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(1(2(x1))) -> 2(1(0(3(x1)))) 0(1(2(x1))) -> 2(1(3(0(x1)))) 0(1(2(x1))) -> 2(1(3(0(4(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(4(x1)))))) 0(0(1(2(x1)))) -> 0(2(1(0(3(x1))))) 0(1(1(2(x1)))) -> 1(0(4(1(2(x1))))) 0(1(1(2(x1)))) -> 1(2(1(0(3(x1))))) 0(1(2(0(x1)))) -> 2(1(0(3(0(3(x1)))))) 0(1(2(5(x1)))) -> 2(1(0(3(5(x1))))) 0(1(2(5(x1)))) -> 5(1(0(3(2(x1))))) 0(1(4(2(x1)))) -> 2(1(3(4(0(x1))))) 0(1(4(2(x1)))) -> 2(4(1(0(3(x1))))) 0(1(4(2(x1)))) -> 0(2(1(0(3(4(x1)))))) 2(1(1(5(x1)))) -> 2(5(1(4(1(x1))))) 2(1(1(5(x1)))) -> 5(1(3(2(1(x1))))) 2(1(2(0(x1)))) -> 2(2(1(0(3(x1))))) 2(3(5(5(x1)))) -> 5(1(0(3(2(5(x1)))))) 2(5(3(2(x1)))) -> 5(1(3(2(2(x1))))) 5(1(2(0(x1)))) -> 2(5(1(0(3(x1))))) 0(1(0(1(2(x1))))) -> 0(2(1(1(3(0(x1)))))) 0(1(1(2(5(x1))))) -> 0(1(3(5(1(2(x1)))))) 0(1(1(4(2(x1))))) -> 4(1(0(3(2(1(x1)))))) 0(1(1(5(0(x1))))) -> 0(1(0(5(4(1(x1)))))) 0(1(1(5(4(x1))))) -> 1(4(1(0(3(5(x1)))))) 0(1(2(3(5(x1))))) -> 0(1(3(4(5(2(x1)))))) 0(1(2(3(5(x1))))) -> 0(2(5(1(0(3(x1)))))) 0(1(2(3(5(x1))))) -> 1(0(3(0(2(5(x1)))))) 0(1(2(3(5(x1))))) -> 5(1(3(0(2(0(x1)))))) 0(1(4(0(2(x1))))) -> 4(0(1(3(0(2(x1)))))) 0(1(4(0(2(x1))))) -> 4(0(2(1(3(0(x1)))))) 0(4(5(3(5(x1))))) -> 5(1(0(3(4(5(x1)))))) 2(1(0(1(5(x1))))) -> 1(0(3(2(5(1(x1)))))) 2(1(4(3(5(x1))))) -> 1(3(5(4(4(2(x1)))))) 2(1(4(3(5(x1))))) -> 5(4(4(1(3(2(x1)))))) 2(1(4(5(0(x1))))) -> 2(4(1(0(3(5(x1)))))) 2(2(3(5(0(x1))))) -> 5(2(4(2(0(3(x1)))))) 2(2(4(3(5(x1))))) -> 5(1(3(4(2(2(x1)))))) 2(3(1(1(2(x1))))) -> 1(3(2(1(2(0(x1)))))) 2(3(1(1(2(x1))))) -> 4(1(2(2(1(3(x1)))))) 2(3(2(0(5(x1))))) -> 2(2(1(0(3(5(x1)))))) 2(3(3(1(5(x1))))) -> 1(3(5(1(3(2(x1)))))) 2(5(0(3(5(x1))))) -> 5(2(1(3(0(5(x1)))))) 4(2(0(1(2(x1))))) -> 4(2(2(1(3(0(x1)))))) 5(0(1(2(2(x1))))) -> 4(1(5(2(0(2(x1)))))) 5(1(4(2(2(x1))))) -> 5(1(3(2(4(2(x1)))))) 5(1(4(3(2(x1))))) -> 4(5(1(3(4(2(x1)))))) 5(5(4(3(2(x1))))) -> 5(1(3(4(5(2(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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(1(2(x1))) -> 2(1(0(3(x1)))) 0(1(2(x1))) -> 2(1(3(0(x1)))) 0(1(2(x1))) -> 2(1(3(0(4(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(4(x1)))))) 0(0(1(2(x1)))) -> 0(2(1(0(3(x1))))) 0(1(1(2(x1)))) -> 1(0(4(1(2(x1))))) 0(1(1(2(x1)))) -> 1(2(1(0(3(x1))))) 0(1(2(0(x1)))) -> 2(1(0(3(0(3(x1)))))) 0(1(2(5(x1)))) -> 2(1(0(3(5(x1))))) 0(1(2(5(x1)))) -> 5(1(0(3(2(x1))))) 0(1(4(2(x1)))) -> 2(1(3(4(0(x1))))) 0(1(4(2(x1)))) -> 2(4(1(0(3(x1))))) 0(1(4(2(x1)))) -> 0(2(1(0(3(4(x1)))))) 2(1(1(5(x1)))) -> 2(5(1(4(1(x1))))) 2(1(1(5(x1)))) -> 5(1(3(2(1(x1))))) 2(1(2(0(x1)))) -> 2(2(1(0(3(x1))))) 2(3(5(5(x1)))) -> 5(1(0(3(2(5(x1)))))) 2(5(3(2(x1)))) -> 5(1(3(2(2(x1))))) 5(1(2(0(x1)))) -> 2(5(1(0(3(x1))))) 0(1(0(1(2(x1))))) -> 0(2(1(1(3(0(x1)))))) 0(1(1(2(5(x1))))) -> 0(1(3(5(1(2(x1)))))) 0(1(1(4(2(x1))))) -> 4(1(0(3(2(1(x1)))))) 0(1(1(5(0(x1))))) -> 0(1(0(5(4(1(x1)))))) 0(1(1(5(4(x1))))) -> 1(4(1(0(3(5(x1)))))) 0(1(2(3(5(x1))))) -> 0(1(3(4(5(2(x1)))))) 0(1(2(3(5(x1))))) -> 0(2(5(1(0(3(x1)))))) 0(1(2(3(5(x1))))) -> 1(0(3(0(2(5(x1)))))) 0(1(2(3(5(x1))))) -> 5(1(3(0(2(0(x1)))))) 0(1(4(0(2(x1))))) -> 4(0(1(3(0(2(x1)))))) 0(1(4(0(2(x1))))) -> 4(0(2(1(3(0(x1)))))) 0(4(5(3(5(x1))))) -> 5(1(0(3(4(5(x1)))))) 2(1(0(1(5(x1))))) -> 1(0(3(2(5(1(x1)))))) 2(1(4(3(5(x1))))) -> 1(3(5(4(4(2(x1)))))) 2(1(4(3(5(x1))))) -> 5(4(4(1(3(2(x1)))))) 2(1(4(5(0(x1))))) -> 2(4(1(0(3(5(x1)))))) 2(2(3(5(0(x1))))) -> 5(2(4(2(0(3(x1)))))) 2(2(4(3(5(x1))))) -> 5(1(3(4(2(2(x1)))))) 2(3(1(1(2(x1))))) -> 1(3(2(1(2(0(x1)))))) 2(3(1(1(2(x1))))) -> 4(1(2(2(1(3(x1)))))) 2(3(2(0(5(x1))))) -> 2(2(1(0(3(5(x1)))))) 2(3(3(1(5(x1))))) -> 1(3(5(1(3(2(x1)))))) 2(5(0(3(5(x1))))) -> 5(2(1(3(0(5(x1)))))) 4(2(0(1(2(x1))))) -> 4(2(2(1(3(0(x1)))))) 5(0(1(2(2(x1))))) -> 4(1(5(2(0(2(x1)))))) 5(1(4(2(2(x1))))) -> 5(1(3(2(4(2(x1)))))) 5(1(4(3(2(x1))))) -> 4(5(1(3(4(2(x1)))))) 5(5(4(3(2(x1))))) -> 5(1(3(4(5(2(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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(1(2(x1))) -> 2(1(0(3(x1)))) 0(1(2(x1))) -> 2(1(3(0(x1)))) 0(1(2(x1))) -> 2(1(3(0(4(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(4(x1)))))) 0(0(1(2(x1)))) -> 0(2(1(0(3(x1))))) 0(1(1(2(x1)))) -> 1(0(4(1(2(x1))))) 0(1(1(2(x1)))) -> 1(2(1(0(3(x1))))) 0(1(2(0(x1)))) -> 2(1(0(3(0(3(x1)))))) 0(1(2(5(x1)))) -> 2(1(0(3(5(x1))))) 0(1(2(5(x1)))) -> 5(1(0(3(2(x1))))) 0(1(4(2(x1)))) -> 2(1(3(4(0(x1))))) 0(1(4(2(x1)))) -> 2(4(1(0(3(x1))))) 0(1(4(2(x1)))) -> 0(2(1(0(3(4(x1)))))) 2(1(1(5(x1)))) -> 2(5(1(4(1(x1))))) 2(1(1(5(x1)))) -> 5(1(3(2(1(x1))))) 2(1(2(0(x1)))) -> 2(2(1(0(3(x1))))) 2(3(5(5(x1)))) -> 5(1(0(3(2(5(x1)))))) 2(5(3(2(x1)))) -> 5(1(3(2(2(x1))))) 5(1(2(0(x1)))) -> 2(5(1(0(3(x1))))) 0(1(0(1(2(x1))))) -> 0(2(1(1(3(0(x1)))))) 0(1(1(2(5(x1))))) -> 0(1(3(5(1(2(x1)))))) 0(1(1(4(2(x1))))) -> 4(1(0(3(2(1(x1)))))) 0(1(1(5(0(x1))))) -> 0(1(0(5(4(1(x1)))))) 0(1(1(5(4(x1))))) -> 1(4(1(0(3(5(x1)))))) 0(1(2(3(5(x1))))) -> 0(1(3(4(5(2(x1)))))) 0(1(2(3(5(x1))))) -> 0(2(5(1(0(3(x1)))))) 0(1(2(3(5(x1))))) -> 1(0(3(0(2(5(x1)))))) 0(1(2(3(5(x1))))) -> 5(1(3(0(2(0(x1)))))) 0(1(4(0(2(x1))))) -> 4(0(1(3(0(2(x1)))))) 0(1(4(0(2(x1))))) -> 4(0(2(1(3(0(x1)))))) 0(4(5(3(5(x1))))) -> 5(1(0(3(4(5(x1)))))) 2(1(0(1(5(x1))))) -> 1(0(3(2(5(1(x1)))))) 2(1(4(3(5(x1))))) -> 1(3(5(4(4(2(x1)))))) 2(1(4(3(5(x1))))) -> 5(4(4(1(3(2(x1)))))) 2(1(4(5(0(x1))))) -> 2(4(1(0(3(5(x1)))))) 2(2(3(5(0(x1))))) -> 5(2(4(2(0(3(x1)))))) 2(2(4(3(5(x1))))) -> 5(1(3(4(2(2(x1)))))) 2(3(1(1(2(x1))))) -> 1(3(2(1(2(0(x1)))))) 2(3(1(1(2(x1))))) -> 4(1(2(2(1(3(x1)))))) 2(3(2(0(5(x1))))) -> 2(2(1(0(3(5(x1)))))) 2(3(3(1(5(x1))))) -> 1(3(5(1(3(2(x1)))))) 2(5(0(3(5(x1))))) -> 5(2(1(3(0(5(x1)))))) 4(2(0(1(2(x1))))) -> 4(2(2(1(3(0(x1)))))) 5(0(1(2(2(x1))))) -> 4(1(5(2(0(2(x1)))))) 5(1(4(2(2(x1))))) -> 5(1(3(2(4(2(x1)))))) 5(1(4(3(2(x1))))) -> 4(5(1(3(4(2(x1)))))) 5(5(4(3(2(x1))))) -> 5(1(3(4(5(2(x1)))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(3(x_1)) -> 3(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_5(x_1)) -> 5(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_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(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 3. The certificate found is represented by the following graph. 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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] {(64,65,[0_1|0, 2_1|0, 5_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_4_1|0, encode_5_1|0]), (64,66,[1_1|1, 3_1|1, 0_1|1, 2_1|1, 5_1|1, 4_1|1]), (64,67,[2_1|2]), (64,70,[2_1|2]), (64,73,[2_1|2]), (64,77,[2_1|2]), (64,81,[2_1|2]), (64,86,[2_1|2]), (64,91,[2_1|2]), (64,95,[5_1|2]), (64,99,[0_1|2]), (64,104,[0_1|2]), (64,109,[1_1|2]), (64,114,[5_1|2]), (64,119,[1_1|2]), (64,123,[1_1|2]), (64,127,[0_1|2]), (64,132,[4_1|2]), (64,137,[0_1|2]), (64,142,[1_1|2]), (64,147,[2_1|2]), (64,151,[0_1|2]), (64,156,[4_1|2]), (64,161,[4_1|2]), (64,166,[0_1|2]), (64,171,[0_1|2]), (64,175,[5_1|2]), (64,180,[2_1|2]), (64,184,[5_1|2]), (64,188,[2_1|2]), (64,192,[1_1|2]), (64,197,[1_1|2]), (64,202,[5_1|2]), 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(269,207,[2_1|2]), (269,227,[2_1|2]), (269,256,[2_1|2]), (269,184,[5_1|2]), (269,192,[1_1|2]), (269,197,[1_1|2]), (269,202,[5_1|2]), (269,212,[5_1|2]), (269,217,[1_1|2]), (269,222,[4_1|2]), (269,232,[1_1|2]), (269,237,[5_1|2]), (269,241,[5_1|2]), (269,246,[5_1|2]), (269,251,[5_1|2]), (269,285,[2_1|2]), (270,271,[1_1|2]), (271,272,[5_1|2]), (272,273,[2_1|2]), (273,274,[0_1|2]), (274,66,[2_1|2]), (274,67,[2_1|2]), (274,70,[2_1|2]), (274,73,[2_1|2]), (274,77,[2_1|2]), (274,81,[2_1|2]), (274,86,[2_1|2]), (274,91,[2_1|2]), (274,147,[2_1|2]), (274,180,[2_1|2]), (274,188,[2_1|2]), (274,207,[2_1|2]), (274,227,[2_1|2]), (274,256,[2_1|2]), (274,189,[2_1|2]), (274,228,[2_1|2]), (274,184,[5_1|2]), (274,192,[1_1|2]), (274,197,[1_1|2]), (274,202,[5_1|2]), (274,212,[5_1|2]), (274,217,[1_1|2]), (274,222,[4_1|2]), (274,232,[1_1|2]), (274,237,[5_1|2]), (274,241,[5_1|2]), (274,246,[5_1|2]), (274,251,[5_1|2]), (274,285,[2_1|2]), (275,276,[1_1|2]), (276,277,[3_1|2]), (277,278,[4_1|2]), (278,279,[5_1|2]), (279,66,[2_1|2]), (279,67,[2_1|2]), (279,70,[2_1|2]), (279,73,[2_1|2]), (279,77,[2_1|2]), (279,81,[2_1|2]), (279,86,[2_1|2]), (279,91,[2_1|2]), (279,147,[2_1|2]), (279,180,[2_1|2]), (279,188,[2_1|2]), (279,207,[2_1|2]), (279,227,[2_1|2]), (279,256,[2_1|2]), (279,184,[5_1|2]), (279,192,[1_1|2]), (279,197,[1_1|2]), (279,202,[5_1|2]), (279,212,[5_1|2]), (279,217,[1_1|2]), (279,222,[4_1|2]), (279,232,[1_1|2]), (279,237,[5_1|2]), (279,241,[5_1|2]), (279,246,[5_1|2]), (279,251,[5_1|2]), (279,285,[2_1|2]), (280,281,[2_1|2]), (281,282,[2_1|2]), (282,283,[1_1|2]), (283,284,[3_1|2]), (284,66,[0_1|2]), (284,67,[0_1|2, 2_1|2]), (284,70,[0_1|2, 2_1|2]), (284,73,[0_1|2, 2_1|2]), (284,77,[0_1|2, 2_1|2]), (284,81,[0_1|2, 2_1|2]), (284,86,[0_1|2, 2_1|2]), (284,91,[0_1|2, 2_1|2]), (284,147,[0_1|2, 2_1|2]), (284,180,[0_1|2]), (284,188,[0_1|2]), (284,207,[0_1|2]), (284,227,[0_1|2]), (284,256,[0_1|2]), (284,124,[0_1|2]), (284,95,[5_1|2]), (284,99,[0_1|2]), (284,104,[0_1|2]), (284,109,[1_1|2]), (284,114,[5_1|2]), (284,119,[1_1|2]), (284,123,[1_1|2]), (284,127,[0_1|2]), (284,132,[4_1|2]), (284,137,[0_1|2]), (284,142,[1_1|2]), (284,151,[0_1|2]), (284,156,[4_1|2]), (284,161,[4_1|2]), (284,285,[2_1|2, 0_1|2]), (284,166,[0_1|2]), (284,171,[0_1|2]), (284,175,[5_1|2]), (284,289,[2_1|3]), (284,292,[2_1|3]), (284,295,[2_1|3]), (284,299,[2_1|3]), (284,303,[2_1|3]), (285,286,[1_1|2]), (286,287,[3_1|2]), (287,288,[4_1|2]), (288,67,[0_1|2]), (288,70,[0_1|2]), (288,73,[0_1|2]), (288,77,[0_1|2]), (288,81,[0_1|2]), (288,86,[0_1|2]), (288,91,[0_1|2]), (288,147,[0_1|2]), (288,180,[0_1|2]), (288,188,[0_1|2]), (288,207,[0_1|2]), (288,227,[0_1|2]), (288,256,[0_1|2]), (288,281,[0_1|2]), (288,285,[0_1|2]), (289,290,[1_1|3]), (290,291,[0_1|3]), (291,124,[3_1|3]), (292,293,[1_1|3]), (293,294,[3_1|3]), (294,124,[0_1|3]), (295,296,[1_1|3]), (296,297,[3_1|3]), (297,298,[0_1|3]), (298,124,[4_1|3]), (299,300,[1_1|3]), (300,301,[3_1|3]), (301,302,[4_1|3]), (302,124,[0_1|3]), (303,304,[1_1|3]), (304,305,[3_1|3]), (305,306,[4_1|3]), (306,307,[0_1|3]), (307,124,[4_1|3]), (308,309,[5_1|3]), (309,310,[1_1|3]), (310,311,[0_1|3]), (311,99,[3_1|3]), (311,104,[3_1|3]), (311,127,[3_1|3]), (311,137,[3_1|3]), (311,151,[3_1|3]), (311,166,[3_1|3]), (311,171,[3_1|3]), (312,313,[1_1|3]), (313,314,[3_1|3]), (314,315,[2_1|3]), (315,316,[4_1|3]), (316,282,[2_1|3]), (317,318,[2_1|3]), (318,319,[1_1|3]), (319,320,[0_1|3]), (320,66,[3_1|3]), (320,67,[3_1|3]), (320,70,[3_1|3]), (320,73,[3_1|3]), (320,77,[3_1|3]), (320,81,[3_1|3]), (320,86,[3_1|3]), (320,91,[3_1|3]), (320,147,[3_1|3]), (320,180,[3_1|3]), (320,188,[3_1|3]), (320,207,[3_1|3]), (320,227,[3_1|3]), (320,256,[3_1|3]), (320,124,[3_1|3]), (320,99,[3_1|3]), (320,104,[3_1|3]), (320,127,[3_1|3]), (320,137,[3_1|3]), (320,151,[3_1|3]), (320,166,[3_1|3]), (320,171,[3_1|3]), (320,285,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)