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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 30 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 71 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(1(2(x1)))) -> 0(0(1(x1))) 1(2(3(3(4(5(x1)))))) -> 4(0(0(1(5(x1))))) 4(4(3(4(3(1(3(x1))))))) -> 0(1(3(1(4(4(x1)))))) 5(2(5(2(5(1(1(x1))))))) -> 5(4(5(5(1(x1))))) 1(0(5(5(5(3(4(1(x1)))))))) -> 4(3(0(3(4(3(0(5(0(x1))))))))) 3(4(3(0(4(0(3(2(x1)))))))) -> 5(1(5(4(2(x1))))) 0(5(3(2(3(1(5(4(4(x1))))))))) -> 0(0(4(4(1(0(3(4(x1)))))))) 1(0(4(3(5(2(1(0(1(x1))))))))) -> 1(4(2(0(1(1(3(4(1(x1))))))))) 5(3(2(1(1(2(1(5(3(x1))))))))) -> 5(1(4(3(3(5(0(4(x1)))))))) 1(2(4(4(4(5(5(0(2(2(x1)))))))))) -> 4(4(1(1(0(5(5(5(0(x1))))))))) 2(1(3(1(5(5(5(1(1(1(x1)))))))))) -> 5(4(2(3(5(4(2(2(1(x1))))))))) 2(0(3(1(1(0(2(5(3(3(2(3(x1)))))))))))) -> 5(4(0(4(4(4(1(4(0(3(x1)))))))))) 3(4(1(1(4(0(1(2(2(4(5(3(2(x1))))))))))))) -> 5(3(1(3(4(5(4(0(3(0(1(x1))))))))))) 1(2(0(3(1(0(4(3(3(0(3(0(5(3(x1)))))))))))))) -> 4(2(0(5(3(3(4(4(3(1(5(0(4(x1))))))))))))) 1(5(4(4(3(2(4(0(1(5(2(0(5(2(x1)))))))))))))) -> 1(5(5(2(2(2(4(0(0(5(3(3(2(2(2(0(x1)))))))))))))))) 3(5(0(1(4(0(0(1(3(5(4(1(0(2(x1)))))))))))))) -> 1(1(4(1(1(5(0(3(0(0(4(5(0(x1))))))))))))) 3(2(3(4(3(5(5(3(4(0(5(4(3(5(2(x1))))))))))))))) -> 3(5(5(0(1(4(3(4(1(1(5(1(0(x1))))))))))))) 0(0(2(2(5(0(3(0(4(0(4(0(2(3(1(5(x1)))))))))))))))) -> 0(4(2(5(2(5(3(0(4(3(2(0(2(4(5(x1))))))))))))))) 2(1(3(0(5(1(2(2(5(5(1(0(2(1(3(2(x1)))))))))))))))) -> 5(5(2(3(2(4(5(0(2(0(3(3(4(1(1(x1))))))))))))))) 2(4(4(1(5(2(3(3(2(0(4(5(3(5(0(2(x1)))))))))))))))) -> 0(5(1(4(5(2(4(1(1(5(4(3(3(x1))))))))))))) 1(5(0(0(1(4(5(3(5(4(1(0(1(2(1(2(0(x1))))))))))))))))) -> 1(4(0(1(3(5(3(3(4(1(0(4(3(3(0(5(1(0(x1)))))))))))))))))) 4(0(4(4(2(1(4(2(0(3(1(2(5(5(5(5(3(1(2(x1))))))))))))))))))) -> 3(5(4(4(2(0(4(4(4(0(1(0(2(4(0(4(1(5(x1)))))))))))))))))) 1(1(0(1(1(4(5(0(4(1(3(0(4(4(0(5(5(0(2(0(x1)))))))))))))))))))) -> 4(0(5(3(5(3(2(2(5(3(5(1(2(4(2(4(5(0(5(5(x1)))))))))))))))))))) 3(1(2(1(3(1(1(4(3(5(2(0(3(3(2(3(1(3(0(1(x1)))))))))))))))))))) -> 0(4(3(5(1(4(2(4(0(5(3(2(4(1(5(5(1(x1))))))))))))))))) 5(0(1(3(4(2(1(3(1(4(2(0(0(2(3(2(5(2(2(4(x1)))))))))))))))))))) -> 5(4(1(5(5(0(1(3(1(2(1(1(2(4(3(2(5(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_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)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) 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)))) -> 0(0(1(x1))) 1(2(3(3(4(5(x1)))))) -> 4(0(0(1(5(x1))))) 4(4(3(4(3(1(3(x1))))))) -> 0(1(3(1(4(4(x1)))))) 5(2(5(2(5(1(1(x1))))))) -> 5(4(5(5(1(x1))))) 1(0(5(5(5(3(4(1(x1)))))))) -> 4(3(0(3(4(3(0(5(0(x1))))))))) 3(4(3(0(4(0(3(2(x1)))))))) -> 5(1(5(4(2(x1))))) 0(5(3(2(3(1(5(4(4(x1))))))))) -> 0(0(4(4(1(0(3(4(x1)))))))) 1(0(4(3(5(2(1(0(1(x1))))))))) -> 1(4(2(0(1(1(3(4(1(x1))))))))) 5(3(2(1(1(2(1(5(3(x1))))))))) -> 5(1(4(3(3(5(0(4(x1)))))))) 1(2(4(4(4(5(5(0(2(2(x1)))))))))) -> 4(4(1(1(0(5(5(5(0(x1))))))))) 2(1(3(1(5(5(5(1(1(1(x1)))))))))) -> 5(4(2(3(5(4(2(2(1(x1))))))))) 2(0(3(1(1(0(2(5(3(3(2(3(x1)))))))))))) -> 5(4(0(4(4(4(1(4(0(3(x1)))))))))) 3(4(1(1(4(0(1(2(2(4(5(3(2(x1))))))))))))) -> 5(3(1(3(4(5(4(0(3(0(1(x1))))))))))) 1(2(0(3(1(0(4(3(3(0(3(0(5(3(x1)))))))))))))) -> 4(2(0(5(3(3(4(4(3(1(5(0(4(x1))))))))))))) 1(5(4(4(3(2(4(0(1(5(2(0(5(2(x1)))))))))))))) -> 1(5(5(2(2(2(4(0(0(5(3(3(2(2(2(0(x1)))))))))))))))) 3(5(0(1(4(0(0(1(3(5(4(1(0(2(x1)))))))))))))) -> 1(1(4(1(1(5(0(3(0(0(4(5(0(x1))))))))))))) 3(2(3(4(3(5(5(3(4(0(5(4(3(5(2(x1))))))))))))))) -> 3(5(5(0(1(4(3(4(1(1(5(1(0(x1))))))))))))) 0(0(2(2(5(0(3(0(4(0(4(0(2(3(1(5(x1)))))))))))))))) -> 0(4(2(5(2(5(3(0(4(3(2(0(2(4(5(x1))))))))))))))) 2(1(3(0(5(1(2(2(5(5(1(0(2(1(3(2(x1)))))))))))))))) -> 5(5(2(3(2(4(5(0(2(0(3(3(4(1(1(x1))))))))))))))) 2(4(4(1(5(2(3(3(2(0(4(5(3(5(0(2(x1)))))))))))))))) -> 0(5(1(4(5(2(4(1(1(5(4(3(3(x1))))))))))))) 1(5(0(0(1(4(5(3(5(4(1(0(1(2(1(2(0(x1))))))))))))))))) -> 1(4(0(1(3(5(3(3(4(1(0(4(3(3(0(5(1(0(x1)))))))))))))))))) 4(0(4(4(2(1(4(2(0(3(1(2(5(5(5(5(3(1(2(x1))))))))))))))))))) -> 3(5(4(4(2(0(4(4(4(0(1(0(2(4(0(4(1(5(x1)))))))))))))))))) 1(1(0(1(1(4(5(0(4(1(3(0(4(4(0(5(5(0(2(0(x1)))))))))))))))))))) -> 4(0(5(3(5(3(2(2(5(3(5(1(2(4(2(4(5(0(5(5(x1)))))))))))))))))))) 3(1(2(1(3(1(1(4(3(5(2(0(3(3(2(3(1(3(0(1(x1)))))))))))))))))))) -> 0(4(3(5(1(4(2(4(0(5(3(2(4(1(5(5(1(x1))))))))))))))))) 5(0(1(3(4(2(1(3(1(4(2(0(0(2(3(2(5(2(2(4(x1)))))))))))))))))))) -> 5(4(1(5(5(0(1(3(1(2(1(1(2(4(3(2(5(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_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)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: 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(1(2(x1)))) -> 0(0(1(x1))) 1(2(3(3(4(5(x1)))))) -> 4(0(0(1(5(x1))))) 4(4(3(4(3(1(3(x1))))))) -> 0(1(3(1(4(4(x1)))))) 5(2(5(2(5(1(1(x1))))))) -> 5(4(5(5(1(x1))))) 1(0(5(5(5(3(4(1(x1)))))))) -> 4(3(0(3(4(3(0(5(0(x1))))))))) 3(4(3(0(4(0(3(2(x1)))))))) -> 5(1(5(4(2(x1))))) 0(5(3(2(3(1(5(4(4(x1))))))))) -> 0(0(4(4(1(0(3(4(x1)))))))) 1(0(4(3(5(2(1(0(1(x1))))))))) -> 1(4(2(0(1(1(3(4(1(x1))))))))) 5(3(2(1(1(2(1(5(3(x1))))))))) -> 5(1(4(3(3(5(0(4(x1)))))))) 1(2(4(4(4(5(5(0(2(2(x1)))))))))) -> 4(4(1(1(0(5(5(5(0(x1))))))))) 2(1(3(1(5(5(5(1(1(1(x1)))))))))) -> 5(4(2(3(5(4(2(2(1(x1))))))))) 2(0(3(1(1(0(2(5(3(3(2(3(x1)))))))))))) -> 5(4(0(4(4(4(1(4(0(3(x1)))))))))) 3(4(1(1(4(0(1(2(2(4(5(3(2(x1))))))))))))) -> 5(3(1(3(4(5(4(0(3(0(1(x1))))))))))) 1(2(0(3(1(0(4(3(3(0(3(0(5(3(x1)))))))))))))) -> 4(2(0(5(3(3(4(4(3(1(5(0(4(x1))))))))))))) 1(5(4(4(3(2(4(0(1(5(2(0(5(2(x1)))))))))))))) -> 1(5(5(2(2(2(4(0(0(5(3(3(2(2(2(0(x1)))))))))))))))) 3(5(0(1(4(0(0(1(3(5(4(1(0(2(x1)))))))))))))) -> 1(1(4(1(1(5(0(3(0(0(4(5(0(x1))))))))))))) 3(2(3(4(3(5(5(3(4(0(5(4(3(5(2(x1))))))))))))))) -> 3(5(5(0(1(4(3(4(1(1(5(1(0(x1))))))))))))) 0(0(2(2(5(0(3(0(4(0(4(0(2(3(1(5(x1)))))))))))))))) -> 0(4(2(5(2(5(3(0(4(3(2(0(2(4(5(x1))))))))))))))) 2(1(3(0(5(1(2(2(5(5(1(0(2(1(3(2(x1)))))))))))))))) -> 5(5(2(3(2(4(5(0(2(0(3(3(4(1(1(x1))))))))))))))) 2(4(4(1(5(2(3(3(2(0(4(5(3(5(0(2(x1)))))))))))))))) -> 0(5(1(4(5(2(4(1(1(5(4(3(3(x1))))))))))))) 1(5(0(0(1(4(5(3(5(4(1(0(1(2(1(2(0(x1))))))))))))))))) -> 1(4(0(1(3(5(3(3(4(1(0(4(3(3(0(5(1(0(x1)))))))))))))))))) 4(0(4(4(2(1(4(2(0(3(1(2(5(5(5(5(3(1(2(x1))))))))))))))))))) -> 3(5(4(4(2(0(4(4(4(0(1(0(2(4(0(4(1(5(x1)))))))))))))))))) 1(1(0(1(1(4(5(0(4(1(3(0(4(4(0(5(5(0(2(0(x1)))))))))))))))))))) -> 4(0(5(3(5(3(2(2(5(3(5(1(2(4(2(4(5(0(5(5(x1)))))))))))))))))))) 3(1(2(1(3(1(1(4(3(5(2(0(3(3(2(3(1(3(0(1(x1)))))))))))))))))))) -> 0(4(3(5(1(4(2(4(0(5(3(2(4(1(5(5(1(x1))))))))))))))))) 5(0(1(3(4(2(1(3(1(4(2(0(0(2(3(2(5(2(2(4(x1)))))))))))))))))))) -> 5(4(1(5(5(0(1(3(1(2(1(1(2(4(3(2(5(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_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)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) Rewrite Strategy: 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(1(2(x1)))) -> 0(0(1(x1))) 1(2(3(3(4(5(x1)))))) -> 4(0(0(1(5(x1))))) 4(4(3(4(3(1(3(x1))))))) -> 0(1(3(1(4(4(x1)))))) 5(2(5(2(5(1(1(x1))))))) -> 5(4(5(5(1(x1))))) 1(0(5(5(5(3(4(1(x1)))))))) -> 4(3(0(3(4(3(0(5(0(x1))))))))) 3(4(3(0(4(0(3(2(x1)))))))) -> 5(1(5(4(2(x1))))) 0(5(3(2(3(1(5(4(4(x1))))))))) -> 0(0(4(4(1(0(3(4(x1)))))))) 1(0(4(3(5(2(1(0(1(x1))))))))) -> 1(4(2(0(1(1(3(4(1(x1))))))))) 5(3(2(1(1(2(1(5(3(x1))))))))) -> 5(1(4(3(3(5(0(4(x1)))))))) 1(2(4(4(4(5(5(0(2(2(x1)))))))))) -> 4(4(1(1(0(5(5(5(0(x1))))))))) 2(1(3(1(5(5(5(1(1(1(x1)))))))))) -> 5(4(2(3(5(4(2(2(1(x1))))))))) 2(0(3(1(1(0(2(5(3(3(2(3(x1)))))))))))) -> 5(4(0(4(4(4(1(4(0(3(x1)))))))))) 3(4(1(1(4(0(1(2(2(4(5(3(2(x1))))))))))))) -> 5(3(1(3(4(5(4(0(3(0(1(x1))))))))))) 1(2(0(3(1(0(4(3(3(0(3(0(5(3(x1)))))))))))))) -> 4(2(0(5(3(3(4(4(3(1(5(0(4(x1))))))))))))) 1(5(4(4(3(2(4(0(1(5(2(0(5(2(x1)))))))))))))) -> 1(5(5(2(2(2(4(0(0(5(3(3(2(2(2(0(x1)))))))))))))))) 3(5(0(1(4(0(0(1(3(5(4(1(0(2(x1)))))))))))))) -> 1(1(4(1(1(5(0(3(0(0(4(5(0(x1))))))))))))) 3(2(3(4(3(5(5(3(4(0(5(4(3(5(2(x1))))))))))))))) -> 3(5(5(0(1(4(3(4(1(1(5(1(0(x1))))))))))))) 0(0(2(2(5(0(3(0(4(0(4(0(2(3(1(5(x1)))))))))))))))) -> 0(4(2(5(2(5(3(0(4(3(2(0(2(4(5(x1))))))))))))))) 2(1(3(0(5(1(2(2(5(5(1(0(2(1(3(2(x1)))))))))))))))) -> 5(5(2(3(2(4(5(0(2(0(3(3(4(1(1(x1))))))))))))))) 2(4(4(1(5(2(3(3(2(0(4(5(3(5(0(2(x1)))))))))))))))) -> 0(5(1(4(5(2(4(1(1(5(4(3(3(x1))))))))))))) 1(5(0(0(1(4(5(3(5(4(1(0(1(2(1(2(0(x1))))))))))))))))) -> 1(4(0(1(3(5(3(3(4(1(0(4(3(3(0(5(1(0(x1)))))))))))))))))) 4(0(4(4(2(1(4(2(0(3(1(2(5(5(5(5(3(1(2(x1))))))))))))))))))) -> 3(5(4(4(2(0(4(4(4(0(1(0(2(4(0(4(1(5(x1)))))))))))))))))) 1(1(0(1(1(4(5(0(4(1(3(0(4(4(0(5(5(0(2(0(x1)))))))))))))))))))) -> 4(0(5(3(5(3(2(2(5(3(5(1(2(4(2(4(5(0(5(5(x1)))))))))))))))))))) 3(1(2(1(3(1(1(4(3(5(2(0(3(3(2(3(1(3(0(1(x1)))))))))))))))))))) -> 0(4(3(5(1(4(2(4(0(5(3(2(4(1(5(5(1(x1))))))))))))))))) 5(0(1(3(4(2(1(3(1(4(2(0(0(2(3(2(5(2(2(4(x1)))))))))))))))))))) -> 5(4(1(5(5(0(1(3(1(2(1(1(2(4(3(2(5(x1))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(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)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_1(x_1) -> 1(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_5(x_1) -> 5(encArg(x_1)) S is empty. Rewrite Strategy: 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 2. 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] {(151,152,[0_1|0, 1_1|0, 4_1|0, 5_1|0, 3_1|0, 2_1|0, encArg_1|0, encode_0_1|0, encode_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (151,153,[0_1|1, 1_1|1, 4_1|1, 5_1|1, 3_1|1, 2_1|1]), (151,154,[0_1|2]), (151,156,[0_1|2]), (151,163,[0_1|2]), (151,177,[4_1|2]), (151,181,[4_1|2]), (151,189,[4_1|2]), (151,201,[4_1|2]), (151,209,[1_1|2]), (151,217,[1_1|2]), (151,232,[1_1|2]), (151,249,[4_1|2]), (151,268,[0_1|2]), (151,273,[3_1|2]), (151,290,[5_1|2]), (151,294,[5_1|2]), (151,301,[5_1|2]), (151,317,[5_1|2]), (151,321,[5_1|2]), (151,331,[1_1|2]), (151,343,[3_1|2]), (151,355,[0_1|2]), (151,371,[5_1|2]), (151,379,[5_1|2]), (151,393,[5_1|2]), (151,402,[0_1|2]), (152,152,[cons_0_1|0, cons_1_1|0, cons_4_1|0, cons_5_1|0, cons_3_1|0, cons_2_1|0]), (153,152,[encArg_1|1]), (153,153,[0_1|1, 1_1|1, 4_1|1, 5_1|1, 3_1|1, 2_1|1]), (153,154,[0_1|2]), (153,156,[0_1|2]), (153,163,[0_1|2]), (153,177,[4_1|2]), (153,181,[4_1|2]), (153,189,[4_1|2]), (153,201,[4_1|2]), (153,209,[1_1|2]), (153,217,[1_1|2]), (153,232,[1_1|2]), (153,249,[4_1|2]), (153,268,[0_1|2]), (153,273,[3_1|2]), (153,290,[5_1|2]), (153,294,[5_1|2]), (153,301,[5_1|2]), (153,317,[5_1|2]), (153,321,[5_1|2]), (153,331,[1_1|2]), (153,343,[3_1|2]), (153,355,[0_1|2]), (153,371,[5_1|2]), (153,379,[5_1|2]), (153,393,[5_1|2]), (153,402,[0_1|2]), (154,155,[0_1|2]), (154,154,[0_1|2]), (155,153,[1_1|2]), (155,177,[4_1|2]), (155,181,[4_1|2]), (155,189,[4_1|2]), (155,201,[4_1|2]), (155,209,[1_1|2]), (155,217,[1_1|2]), (155,232,[1_1|2]), (155,249,[4_1|2]), (156,157,[0_1|2]), (157,158,[4_1|2]), (158,159,[4_1|2]), (159,160,[1_1|2]), (160,161,[0_1|2]), (161,162,[3_1|2]), (161,317,[5_1|2]), (161,321,[5_1|2]), (162,153,[4_1|2]), (162,177,[4_1|2]), (162,181,[4_1|2]), (162,189,[4_1|2]), (162,201,[4_1|2]), (162,249,[4_1|2]), (162,182,[4_1|2]), (162,268,[0_1|2]), (162,273,[3_1|2]), (163,164,[4_1|2]), (164,165,[2_1|2]), (165,166,[5_1|2]), (166,167,[2_1|2]), (167,168,[5_1|2]), (168,169,[3_1|2]), (169,170,[0_1|2]), (170,171,[4_1|2]), (171,172,[3_1|2]), (172,173,[2_1|2]), (173,174,[0_1|2]), (174,175,[2_1|2]), (175,176,[4_1|2]), (176,153,[5_1|2]), (176,290,[5_1|2]), (176,294,[5_1|2]), (176,301,[5_1|2]), (176,317,[5_1|2]), (176,321,[5_1|2]), (176,371,[5_1|2]), (176,379,[5_1|2]), (176,393,[5_1|2]), (176,218,[5_1|2]), (177,178,[0_1|2]), (178,179,[0_1|2]), (179,180,[1_1|2]), (179,217,[1_1|2]), (179,232,[1_1|2]), (180,153,[5_1|2]), (180,290,[5_1|2]), (180,294,[5_1|2]), (180,301,[5_1|2]), (180,317,[5_1|2]), (180,321,[5_1|2]), (180,371,[5_1|2]), (180,379,[5_1|2]), (180,393,[5_1|2]), (181,182,[4_1|2]), (182,183,[1_1|2]), (183,184,[1_1|2]), (184,185,[0_1|2]), (185,186,[5_1|2]), (186,187,[5_1|2]), (187,188,[5_1|2]), (187,301,[5_1|2]), (188,153,[0_1|2]), (188,154,[0_1|2]), (188,156,[0_1|2]), (188,163,[0_1|2]), (189,190,[2_1|2]), (190,191,[0_1|2]), (191,192,[5_1|2]), (192,193,[3_1|2]), (193,194,[3_1|2]), (194,195,[4_1|2]), (195,196,[4_1|2]), (196,197,[3_1|2]), (197,198,[1_1|2]), (198,199,[5_1|2]), (199,200,[0_1|2]), (200,153,[4_1|2]), (200,273,[4_1|2, 3_1|2]), (200,343,[4_1|2]), (200,322,[4_1|2]), (200,268,[0_1|2]), (201,202,[3_1|2]), (202,203,[0_1|2]), (203,204,[3_1|2]), (204,205,[4_1|2]), (205,206,[3_1|2]), (206,207,[0_1|2]), (207,208,[5_1|2]), (207,301,[5_1|2]), (208,153,[0_1|2]), (208,209,[0_1|2]), (208,217,[0_1|2]), (208,232,[0_1|2]), (208,331,[0_1|2]), (208,154,[0_1|2]), (208,156,[0_1|2]), (208,163,[0_1|2]), (209,210,[4_1|2]), (210,211,[2_1|2]), (211,212,[0_1|2]), (212,213,[1_1|2]), (213,214,[1_1|2]), (214,215,[3_1|2]), (214,321,[5_1|2]), (215,216,[4_1|2]), (216,153,[1_1|2]), (216,209,[1_1|2]), (216,217,[1_1|2]), (216,232,[1_1|2]), (216,331,[1_1|2]), (216,269,[1_1|2]), (216,177,[4_1|2]), (216,181,[4_1|2]), (216,189,[4_1|2]), (216,201,[4_1|2]), (216,249,[4_1|2]), (217,218,[5_1|2]), (218,219,[5_1|2]), (219,220,[2_1|2]), (220,221,[2_1|2]), (221,222,[2_1|2]), (222,223,[4_1|2]), (223,224,[0_1|2]), (224,225,[0_1|2]), (225,226,[5_1|2]), (226,227,[3_1|2]), (227,228,[3_1|2]), (228,229,[2_1|2]), (229,230,[2_1|2]), (230,231,[2_1|2]), (230,393,[5_1|2]), (231,153,[0_1|2]), (231,154,[0_1|2]), (231,156,[0_1|2]), (231,163,[0_1|2]), (232,233,[4_1|2]), (233,234,[0_1|2]), (234,235,[1_1|2]), (235,236,[3_1|2]), (236,237,[5_1|2]), (237,238,[3_1|2]), (238,239,[3_1|2]), (239,240,[4_1|2]), (240,241,[1_1|2]), (241,242,[0_1|2]), (242,243,[4_1|2]), (243,244,[3_1|2]), (244,245,[3_1|2]), (245,246,[0_1|2]), (246,247,[5_1|2]), (247,248,[1_1|2]), (247,201,[4_1|2]), (247,209,[1_1|2]), (248,153,[0_1|2]), (248,154,[0_1|2]), (248,156,[0_1|2]), (248,163,[0_1|2]), (248,268,[0_1|2]), (248,355,[0_1|2]), (248,402,[0_1|2]), (249,250,[0_1|2]), (250,251,[5_1|2]), (251,252,[3_1|2]), (252,253,[5_1|2]), (253,254,[3_1|2]), (254,255,[2_1|2]), (255,256,[2_1|2]), (256,257,[5_1|2]), (257,258,[3_1|2]), (258,259,[5_1|2]), (259,260,[1_1|2]), (260,261,[2_1|2]), (261,262,[4_1|2]), (262,263,[2_1|2]), (263,264,[4_1|2]), (264,265,[5_1|2]), (265,266,[0_1|2]), (266,267,[5_1|2]), (267,153,[5_1|2]), (267,154,[5_1|2]), (267,156,[5_1|2]), (267,163,[5_1|2]), (267,268,[5_1|2]), (267,355,[5_1|2]), (267,402,[5_1|2]), (267,290,[5_1|2]), (267,294,[5_1|2]), (267,301,[5_1|2]), (268,269,[1_1|2]), (269,270,[3_1|2]), (270,271,[1_1|2]), (271,272,[4_1|2]), (271,268,[0_1|2]), (272,153,[4_1|2]), (272,273,[4_1|2, 3_1|2]), (272,343,[4_1|2]), (272,268,[0_1|2]), (273,274,[5_1|2]), (274,275,[4_1|2]), (275,276,[4_1|2]), (276,277,[2_1|2]), (277,278,[0_1|2]), (278,279,[4_1|2]), (279,280,[4_1|2]), (280,281,[4_1|2]), (281,282,[0_1|2]), (282,283,[1_1|2]), (283,284,[0_1|2]), (284,285,[2_1|2]), (285,286,[4_1|2]), (286,287,[0_1|2]), (287,288,[4_1|2]), (288,289,[1_1|2]), (288,217,[1_1|2]), (288,232,[1_1|2]), (289,153,[5_1|2]), (289,290,[5_1|2]), (289,294,[5_1|2]), (289,301,[5_1|2]), (290,291,[4_1|2]), (291,292,[5_1|2]), (292,293,[5_1|2]), (293,153,[1_1|2]), (293,209,[1_1|2]), (293,217,[1_1|2]), (293,232,[1_1|2]), (293,331,[1_1|2]), (293,332,[1_1|2]), (293,177,[4_1|2]), (293,181,[4_1|2]), (293,189,[4_1|2]), (293,201,[4_1|2]), (293,249,[4_1|2]), (294,295,[1_1|2]), (295,296,[4_1|2]), (296,297,[3_1|2]), (297,298,[3_1|2]), (298,299,[5_1|2]), (299,300,[0_1|2]), (300,153,[4_1|2]), (300,273,[4_1|2, 3_1|2]), (300,343,[4_1|2]), (300,322,[4_1|2]), (300,268,[0_1|2]), (301,302,[4_1|2]), (302,303,[1_1|2]), (303,304,[5_1|2]), (304,305,[5_1|2]), (305,306,[0_1|2]), (306,307,[1_1|2]), (307,308,[3_1|2]), (308,309,[1_1|2]), (309,310,[2_1|2]), (310,311,[1_1|2]), (311,312,[1_1|2]), (312,313,[2_1|2]), (313,314,[4_1|2]), (314,315,[3_1|2]), (315,316,[2_1|2]), (316,153,[5_1|2]), (316,177,[5_1|2]), (316,181,[5_1|2]), (316,189,[5_1|2]), (316,201,[5_1|2]), (316,249,[5_1|2]), (316,290,[5_1|2]), (316,294,[5_1|2]), (316,301,[5_1|2]), (317,318,[1_1|2]), (318,319,[5_1|2]), (319,320,[4_1|2]), (320,153,[2_1|2]), (320,371,[5_1|2]), (320,379,[5_1|2]), (320,393,[5_1|2]), (320,402,[0_1|2]), (321,322,[3_1|2]), (322,323,[1_1|2]), (323,324,[3_1|2]), (324,325,[4_1|2]), (325,326,[5_1|2]), (326,327,[4_1|2]), (327,328,[0_1|2]), (328,329,[3_1|2]), (329,330,[0_1|2]), (329,154,[0_1|2]), (330,153,[1_1|2]), (330,177,[4_1|2]), (330,181,[4_1|2]), (330,189,[4_1|2]), (330,201,[4_1|2]), (330,209,[1_1|2]), (330,217,[1_1|2]), (330,232,[1_1|2]), (330,249,[4_1|2]), (331,332,[1_1|2]), (332,333,[4_1|2]), (333,334,[1_1|2]), (334,335,[1_1|2]), (335,336,[5_1|2]), (336,337,[0_1|2]), (337,338,[3_1|2]), (338,339,[0_1|2]), (339,340,[0_1|2]), (340,341,[4_1|2]), (341,342,[5_1|2]), (341,301,[5_1|2]), (342,153,[0_1|2]), (342,154,[0_1|2]), (342,156,[0_1|2]), (342,163,[0_1|2]), (343,344,[5_1|2]), (344,345,[5_1|2]), (345,346,[0_1|2]), (346,347,[1_1|2]), (347,348,[4_1|2]), (348,349,[3_1|2]), (349,350,[4_1|2]), (350,351,[1_1|2]), (351,352,[1_1|2]), (352,353,[5_1|2]), (353,354,[1_1|2]), (353,201,[4_1|2]), (353,209,[1_1|2]), (354,153,[0_1|2]), (354,154,[0_1|2]), (354,156,[0_1|2]), (354,163,[0_1|2]), (355,356,[4_1|2]), (356,357,[3_1|2]), (357,358,[5_1|2]), (358,359,[1_1|2]), (359,360,[4_1|2]), (360,361,[2_1|2]), (361,362,[4_1|2]), (362,363,[0_1|2]), (363,364,[5_1|2]), (364,365,[3_1|2]), (365,366,[2_1|2]), (366,367,[4_1|2]), (367,368,[1_1|2]), (368,369,[5_1|2]), (369,370,[5_1|2]), (370,153,[1_1|2]), (370,209,[1_1|2]), (370,217,[1_1|2]), (370,232,[1_1|2]), (370,331,[1_1|2]), (370,269,[1_1|2]), (370,177,[4_1|2]), (370,181,[4_1|2]), (370,189,[4_1|2]), (370,201,[4_1|2]), (370,249,[4_1|2]), (371,372,[4_1|2]), (372,373,[2_1|2]), (373,374,[3_1|2]), (374,375,[5_1|2]), (375,376,[4_1|2]), (376,377,[2_1|2]), (377,378,[2_1|2]), (377,371,[5_1|2]), (377,379,[5_1|2]), (378,153,[1_1|2]), (378,209,[1_1|2]), (378,217,[1_1|2]), (378,232,[1_1|2]), (378,331,[1_1|2]), (378,332,[1_1|2]), (378,177,[4_1|2]), (378,181,[4_1|2]), (378,189,[4_1|2]), (378,201,[4_1|2]), (378,249,[4_1|2]), (379,380,[5_1|2]), (380,381,[2_1|2]), (381,382,[3_1|2]), (382,383,[2_1|2]), (383,384,[4_1|2]), (384,385,[5_1|2]), (385,386,[0_1|2]), (386,387,[2_1|2]), (387,388,[0_1|2]), (388,389,[3_1|2]), (389,390,[3_1|2]), (389,321,[5_1|2]), (390,391,[4_1|2]), (391,392,[1_1|2]), (391,249,[4_1|2]), (392,153,[1_1|2]), (392,177,[4_1|2]), (392,181,[4_1|2]), (392,189,[4_1|2]), (392,201,[4_1|2]), (392,209,[1_1|2]), (392,217,[1_1|2]), (392,232,[1_1|2]), (392,249,[4_1|2]), (393,394,[4_1|2]), (394,395,[0_1|2]), (395,396,[4_1|2]), (396,397,[4_1|2]), (397,398,[4_1|2]), (398,399,[1_1|2]), (399,400,[4_1|2]), (400,401,[0_1|2]), (401,153,[3_1|2]), (401,273,[3_1|2]), (401,343,[3_1|2]), (401,317,[5_1|2]), (401,321,[5_1|2]), (401,331,[1_1|2]), (401,355,[0_1|2]), (402,403,[5_1|2]), (403,404,[1_1|2]), (404,405,[4_1|2]), (405,406,[5_1|2]), (406,407,[2_1|2]), (407,408,[4_1|2]), (408,409,[1_1|2]), (409,410,[1_1|2]), (410,411,[5_1|2]), (411,412,[4_1|2]), (412,413,[3_1|2]), (413,153,[3_1|2]), (413,317,[5_1|2]), (413,321,[5_1|2]), (413,331,[1_1|2]), (413,343,[3_1|2]), (413,355,[0_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)