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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 42 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 84 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(3(x1))))) -> 0(1(3(3(4(x1))))) 1(4(2(1(4(x1))))) -> 1(1(1(0(x1)))) 1(4(5(1(4(x1))))) -> 5(5(5(2(x1)))) 2(0(5(2(5(x1))))) -> 2(2(3(2(1(x1))))) 0(1(0(5(0(4(x1)))))) -> 0(1(5(5(1(x1))))) 1(0(5(5(1(2(4(x1))))))) -> 2(5(4(5(1(1(4(x1))))))) 4(0(2(5(4(3(5(x1))))))) -> 1(1(3(5(1(5(x1)))))) 0(4(0(0(3(1(4(1(2(x1))))))))) -> 2(5(3(2(2(1(2(2(x1)))))))) 5(4(5(4(2(5(0(1(5(4(x1)))))))))) -> 0(0(1(2(1(2(3(2(2(x1))))))))) 1(2(3(2(1(4(5(2(5(4(5(x1))))))))))) -> 2(1(2(4(2(2(3(0(2(1(x1)))))))))) 4(2(0(4(2(2(5(0(5(3(5(x1))))))))))) -> 4(5(2(5(1(2(4(5(4(3(3(5(x1)))))))))))) 2(4(0(0(0(3(3(3(3(0(0(4(x1)))))))))))) -> 2(0(0(2(0(4(4(3(1(0(2(x1))))))))))) 3(0(3(1(2(0(1(2(2(4(0(4(x1)))))))))))) -> 0(4(1(4(3(2(0(2(5(4(3(3(x1)))))))))))) 4(0(2(5(2(1(1(2(0(1(2(1(x1)))))))))))) -> 0(2(0(0(0(1(0(1(5(2(1(x1))))))))))) 4(3(4(5(2(4(4(5(4(3(4(3(x1)))))))))))) -> 2(5(3(0(2(5(2(4(4(1(3(x1))))))))))) 5(5(4(1(1(1(3(2(2(5(1(2(3(5(4(x1))))))))))))))) -> 5(5(0(3(1(2(0(2(0(2(0(4(1(2(x1)))))))))))))) 4(2(5(1(1(3(1(3(2(5(5(4(3(5(5(4(x1)))))))))))))))) -> 4(2(2(5(1(0(2(5(1(0(3(0(3(5(3(x1))))))))))))))) 1(5(5(5(3(2(0(1(3(4(0(2(5(0(0(3(4(3(x1)))))))))))))))))) -> 5(4(3(1(4(2(4(5(4(5(0(3(1(0(2(2(1(3(x1)))))))))))))))))) 3(0(3(4(3(3(5(1(0(4(5(0(0(0(2(2(1(4(x1)))))))))))))))))) -> 0(1(5(5(0(1(5(0(5(0(0(4(0(4(3(4(x1)))))))))))))))) 5(4(4(5(3(5(2(2(3(4(0(2(0(3(2(5(4(3(x1)))))))))))))))))) -> 5(4(0(5(1(1(1(1(3(2(0(0(3(5(0(1(3(x1))))))))))))))))) 1(5(4(3(4(4(3(3(4(5(4(1(5(5(0(1(4(0(2(x1))))))))))))))))))) -> 0(4(3(3(2(2(0(5(1(0(4(4(3(2(3(5(4(2(x1)))))))))))))))))) 3(2(0(3(1(4(3(1(0(5(5(1(3(4(2(1(5(4(3(x1))))))))))))))))))) -> 3(0(3(1(1(3(0(4(1(1(2(1(5(2(0(0(4(2(3(x1))))))))))))))))))) 1(1(1(3(3(0(0(1(2(2(5(1(4(4(4(5(4(3(4(1(x1)))))))))))))))))))) -> 3(4(0(2(1(0(4(1(0(3(1(4(0(3(4(2(0(5(x1)))))))))))))))))) 4(1(1(5(1(4(3(3(0(3(0(5(4(1(0(4(2(1(4(1(x1)))))))))))))))))))) -> 4(3(4(5(3(1(1(4(1(3(0(2(0(2(5(1(1(3(1(x1))))))))))))))))))) 5(4(2(4(0(4(1(4(4(2(0(1(3(4(1(3(5(4(4(4(x1)))))))))))))))))))) -> 5(4(4(2(2(1(4(4(5(1(4(5(4(5(2(2(0(3(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_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(3(x1))))) -> 0(1(3(3(4(x1))))) 1(4(2(1(4(x1))))) -> 1(1(1(0(x1)))) 1(4(5(1(4(x1))))) -> 5(5(5(2(x1)))) 2(0(5(2(5(x1))))) -> 2(2(3(2(1(x1))))) 0(1(0(5(0(4(x1)))))) -> 0(1(5(5(1(x1))))) 1(0(5(5(1(2(4(x1))))))) -> 2(5(4(5(1(1(4(x1))))))) 4(0(2(5(4(3(5(x1))))))) -> 1(1(3(5(1(5(x1)))))) 0(4(0(0(3(1(4(1(2(x1))))))))) -> 2(5(3(2(2(1(2(2(x1)))))))) 5(4(5(4(2(5(0(1(5(4(x1)))))))))) -> 0(0(1(2(1(2(3(2(2(x1))))))))) 1(2(3(2(1(4(5(2(5(4(5(x1))))))))))) -> 2(1(2(4(2(2(3(0(2(1(x1)))))))))) 4(2(0(4(2(2(5(0(5(3(5(x1))))))))))) -> 4(5(2(5(1(2(4(5(4(3(3(5(x1)))))))))))) 2(4(0(0(0(3(3(3(3(0(0(4(x1)))))))))))) -> 2(0(0(2(0(4(4(3(1(0(2(x1))))))))))) 3(0(3(1(2(0(1(2(2(4(0(4(x1)))))))))))) -> 0(4(1(4(3(2(0(2(5(4(3(3(x1)))))))))))) 4(0(2(5(2(1(1(2(0(1(2(1(x1)))))))))))) -> 0(2(0(0(0(1(0(1(5(2(1(x1))))))))))) 4(3(4(5(2(4(4(5(4(3(4(3(x1)))))))))))) -> 2(5(3(0(2(5(2(4(4(1(3(x1))))))))))) 5(5(4(1(1(1(3(2(2(5(1(2(3(5(4(x1))))))))))))))) -> 5(5(0(3(1(2(0(2(0(2(0(4(1(2(x1)))))))))))))) 4(2(5(1(1(3(1(3(2(5(5(4(3(5(5(4(x1)))))))))))))))) -> 4(2(2(5(1(0(2(5(1(0(3(0(3(5(3(x1))))))))))))))) 1(5(5(5(3(2(0(1(3(4(0(2(5(0(0(3(4(3(x1)))))))))))))))))) -> 5(4(3(1(4(2(4(5(4(5(0(3(1(0(2(2(1(3(x1)))))))))))))))))) 3(0(3(4(3(3(5(1(0(4(5(0(0(0(2(2(1(4(x1)))))))))))))))))) -> 0(1(5(5(0(1(5(0(5(0(0(4(0(4(3(4(x1)))))))))))))))) 5(4(4(5(3(5(2(2(3(4(0(2(0(3(2(5(4(3(x1)))))))))))))))))) -> 5(4(0(5(1(1(1(1(3(2(0(0(3(5(0(1(3(x1))))))))))))))))) 1(5(4(3(4(4(3(3(4(5(4(1(5(5(0(1(4(0(2(x1))))))))))))))))))) -> 0(4(3(3(2(2(0(5(1(0(4(4(3(2(3(5(4(2(x1)))))))))))))))))) 3(2(0(3(1(4(3(1(0(5(5(1(3(4(2(1(5(4(3(x1))))))))))))))))))) -> 3(0(3(1(1(3(0(4(1(1(2(1(5(2(0(0(4(2(3(x1))))))))))))))))))) 1(1(1(3(3(0(0(1(2(2(5(1(4(4(4(5(4(3(4(1(x1)))))))))))))))))))) -> 3(4(0(2(1(0(4(1(0(3(1(4(0(3(4(2(0(5(x1)))))))))))))))))) 4(1(1(5(1(4(3(3(0(3(0(5(4(1(0(4(2(1(4(1(x1)))))))))))))))))))) -> 4(3(4(5(3(1(1(4(1(3(0(2(0(2(5(1(1(3(1(x1))))))))))))))))))) 5(4(2(4(0(4(1(4(4(2(0(1(3(4(1(3(5(4(4(4(x1)))))))))))))))))))) -> 5(4(4(2(2(1(4(4(5(1(4(5(4(5(2(2(0(3(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_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(3(x1))))) -> 0(1(3(3(4(x1))))) 1(4(2(1(4(x1))))) -> 1(1(1(0(x1)))) 1(4(5(1(4(x1))))) -> 5(5(5(2(x1)))) 2(0(5(2(5(x1))))) -> 2(2(3(2(1(x1))))) 0(1(0(5(0(4(x1)))))) -> 0(1(5(5(1(x1))))) 1(0(5(5(1(2(4(x1))))))) -> 2(5(4(5(1(1(4(x1))))))) 4(0(2(5(4(3(5(x1))))))) -> 1(1(3(5(1(5(x1)))))) 0(4(0(0(3(1(4(1(2(x1))))))))) -> 2(5(3(2(2(1(2(2(x1)))))))) 5(4(5(4(2(5(0(1(5(4(x1)))))))))) -> 0(0(1(2(1(2(3(2(2(x1))))))))) 1(2(3(2(1(4(5(2(5(4(5(x1))))))))))) -> 2(1(2(4(2(2(3(0(2(1(x1)))))))))) 4(2(0(4(2(2(5(0(5(3(5(x1))))))))))) -> 4(5(2(5(1(2(4(5(4(3(3(5(x1)))))))))))) 2(4(0(0(0(3(3(3(3(0(0(4(x1)))))))))))) -> 2(0(0(2(0(4(4(3(1(0(2(x1))))))))))) 3(0(3(1(2(0(1(2(2(4(0(4(x1)))))))))))) -> 0(4(1(4(3(2(0(2(5(4(3(3(x1)))))))))))) 4(0(2(5(2(1(1(2(0(1(2(1(x1)))))))))))) -> 0(2(0(0(0(1(0(1(5(2(1(x1))))))))))) 4(3(4(5(2(4(4(5(4(3(4(3(x1)))))))))))) -> 2(5(3(0(2(5(2(4(4(1(3(x1))))))))))) 5(5(4(1(1(1(3(2(2(5(1(2(3(5(4(x1))))))))))))))) -> 5(5(0(3(1(2(0(2(0(2(0(4(1(2(x1)))))))))))))) 4(2(5(1(1(3(1(3(2(5(5(4(3(5(5(4(x1)))))))))))))))) -> 4(2(2(5(1(0(2(5(1(0(3(0(3(5(3(x1))))))))))))))) 1(5(5(5(3(2(0(1(3(4(0(2(5(0(0(3(4(3(x1)))))))))))))))))) -> 5(4(3(1(4(2(4(5(4(5(0(3(1(0(2(2(1(3(x1)))))))))))))))))) 3(0(3(4(3(3(5(1(0(4(5(0(0(0(2(2(1(4(x1)))))))))))))))))) -> 0(1(5(5(0(1(5(0(5(0(0(4(0(4(3(4(x1)))))))))))))))) 5(4(4(5(3(5(2(2(3(4(0(2(0(3(2(5(4(3(x1)))))))))))))))))) -> 5(4(0(5(1(1(1(1(3(2(0(0(3(5(0(1(3(x1))))))))))))))))) 1(5(4(3(4(4(3(3(4(5(4(1(5(5(0(1(4(0(2(x1))))))))))))))))))) -> 0(4(3(3(2(2(0(5(1(0(4(4(3(2(3(5(4(2(x1)))))))))))))))))) 3(2(0(3(1(4(3(1(0(5(5(1(3(4(2(1(5(4(3(x1))))))))))))))))))) -> 3(0(3(1(1(3(0(4(1(1(2(1(5(2(0(0(4(2(3(x1))))))))))))))))))) 1(1(1(3(3(0(0(1(2(2(5(1(4(4(4(5(4(3(4(1(x1)))))))))))))))))))) -> 3(4(0(2(1(0(4(1(0(3(1(4(0(3(4(2(0(5(x1)))))))))))))))))) 4(1(1(5(1(4(3(3(0(3(0(5(4(1(0(4(2(1(4(1(x1)))))))))))))))))))) -> 4(3(4(5(3(1(1(4(1(3(0(2(0(2(5(1(1(3(1(x1))))))))))))))))))) 5(4(2(4(0(4(1(4(4(2(0(1(3(4(1(3(5(4(4(4(x1)))))))))))))))))))) -> 5(4(4(2(2(1(4(4(5(1(4(5(4(5(2(2(0(3(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_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(3(x1))))) -> 0(1(3(3(4(x1))))) 1(4(2(1(4(x1))))) -> 1(1(1(0(x1)))) 1(4(5(1(4(x1))))) -> 5(5(5(2(x1)))) 2(0(5(2(5(x1))))) -> 2(2(3(2(1(x1))))) 0(1(0(5(0(4(x1)))))) -> 0(1(5(5(1(x1))))) 1(0(5(5(1(2(4(x1))))))) -> 2(5(4(5(1(1(4(x1))))))) 4(0(2(5(4(3(5(x1))))))) -> 1(1(3(5(1(5(x1)))))) 0(4(0(0(3(1(4(1(2(x1))))))))) -> 2(5(3(2(2(1(2(2(x1)))))))) 5(4(5(4(2(5(0(1(5(4(x1)))))))))) -> 0(0(1(2(1(2(3(2(2(x1))))))))) 1(2(3(2(1(4(5(2(5(4(5(x1))))))))))) -> 2(1(2(4(2(2(3(0(2(1(x1)))))))))) 4(2(0(4(2(2(5(0(5(3(5(x1))))))))))) -> 4(5(2(5(1(2(4(5(4(3(3(5(x1)))))))))))) 2(4(0(0(0(3(3(3(3(0(0(4(x1)))))))))))) -> 2(0(0(2(0(4(4(3(1(0(2(x1))))))))))) 3(0(3(1(2(0(1(2(2(4(0(4(x1)))))))))))) -> 0(4(1(4(3(2(0(2(5(4(3(3(x1)))))))))))) 4(0(2(5(2(1(1(2(0(1(2(1(x1)))))))))))) -> 0(2(0(0(0(1(0(1(5(2(1(x1))))))))))) 4(3(4(5(2(4(4(5(4(3(4(3(x1)))))))))))) -> 2(5(3(0(2(5(2(4(4(1(3(x1))))))))))) 5(5(4(1(1(1(3(2(2(5(1(2(3(5(4(x1))))))))))))))) -> 5(5(0(3(1(2(0(2(0(2(0(4(1(2(x1)))))))))))))) 4(2(5(1(1(3(1(3(2(5(5(4(3(5(5(4(x1)))))))))))))))) -> 4(2(2(5(1(0(2(5(1(0(3(0(3(5(3(x1))))))))))))))) 1(5(5(5(3(2(0(1(3(4(0(2(5(0(0(3(4(3(x1)))))))))))))))))) -> 5(4(3(1(4(2(4(5(4(5(0(3(1(0(2(2(1(3(x1)))))))))))))))))) 3(0(3(4(3(3(5(1(0(4(5(0(0(0(2(2(1(4(x1)))))))))))))))))) -> 0(1(5(5(0(1(5(0(5(0(0(4(0(4(3(4(x1)))))))))))))))) 5(4(4(5(3(5(2(2(3(4(0(2(0(3(2(5(4(3(x1)))))))))))))))))) -> 5(4(0(5(1(1(1(1(3(2(0(0(3(5(0(1(3(x1))))))))))))))))) 1(5(4(3(4(4(3(3(4(5(4(1(5(5(0(1(4(0(2(x1))))))))))))))))))) -> 0(4(3(3(2(2(0(5(1(0(4(4(3(2(3(5(4(2(x1)))))))))))))))))) 3(2(0(3(1(4(3(1(0(5(5(1(3(4(2(1(5(4(3(x1))))))))))))))))))) -> 3(0(3(1(1(3(0(4(1(1(2(1(5(2(0(0(4(2(3(x1))))))))))))))))))) 1(1(1(3(3(0(0(1(2(2(5(1(4(4(4(5(4(3(4(1(x1)))))))))))))))))))) -> 3(4(0(2(1(0(4(1(0(3(1(4(0(3(4(2(0(5(x1)))))))))))))))))) 4(1(1(5(1(4(3(3(0(3(0(5(4(1(0(4(2(1(4(1(x1)))))))))))))))))))) -> 4(3(4(5(3(1(1(4(1(3(0(2(0(2(5(1(1(3(1(x1))))))))))))))))))) 5(4(2(4(0(4(1(4(4(2(0(1(3(4(1(3(5(4(4(4(x1)))))))))))))))))))) -> 5(4(4(2(2(1(4(4(5(1(4(5(4(5(2(2(0(3(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_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. "[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] {(148,149,[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_1_1|0, encode_2_1|0, encode_3_1|0, encode_4_1|0, encode_5_1|0]), (148,150,[0_1|1, 1_1|1, 2_1|1, 4_1|1, 5_1|1, 3_1|1]), (148,151,[0_1|2]), (148,155,[0_1|2]), (148,159,[2_1|2]), (148,166,[1_1|2]), (148,169,[5_1|2]), (148,172,[2_1|2]), (148,178,[2_1|2]), (148,187,[5_1|2]), (148,204,[0_1|2]), (148,221,[3_1|2]), (148,238,[2_1|2]), (148,242,[2_1|2]), (148,252,[1_1|2]), (148,257,[0_1|2]), (148,267,[4_1|2]), (148,278,[4_1|2]), (148,292,[2_1|2]), (148,302,[4_1|2]), (148,320,[0_1|2]), (148,328,[5_1|2]), (148,344,[5_1|2]), (148,361,[5_1|2]), (148,374,[0_1|2]), (148,385,[0_1|2]), (148,400,[3_1|2]), (149,149,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_4_1|0, cons_5_1|0, cons_3_1|0]), (150,149,[encArg_1|1]), (150,150,[0_1|1, 1_1|1, 2_1|1, 4_1|1, 5_1|1, 3_1|1]), (150,151,[0_1|2]), (150,155,[0_1|2]), (150,159,[2_1|2]), (150,166,[1_1|2]), (150,169,[5_1|2]), (150,172,[2_1|2]), (150,178,[2_1|2]), (150,187,[5_1|2]), (150,204,[0_1|2]), (150,221,[3_1|2]), (150,238,[2_1|2]), (150,242,[2_1|2]), (150,252,[1_1|2]), (150,257,[0_1|2]), (150,267,[4_1|2]), (150,278,[4_1|2]), (150,292,[2_1|2]), (150,302,[4_1|2]), (150,320,[0_1|2]), (150,328,[5_1|2]), (150,344,[5_1|2]), (150,361,[5_1|2]), (150,374,[0_1|2]), (150,385,[0_1|2]), (150,400,[3_1|2]), (151,152,[1_1|2]), (152,153,[3_1|2]), (153,154,[3_1|2]), (154,150,[4_1|2]), (154,221,[4_1|2]), (154,400,[4_1|2]), (154,252,[1_1|2]), (154,257,[0_1|2]), (154,267,[4_1|2]), (154,278,[4_1|2]), (154,292,[2_1|2]), (154,302,[4_1|2]), (155,156,[1_1|2]), (156,157,[5_1|2]), (157,158,[5_1|2]), (158,150,[1_1|2]), (158,267,[1_1|2]), (158,278,[1_1|2]), (158,302,[1_1|2]), (158,205,[1_1|2]), (158,375,[1_1|2]), (158,166,[1_1|2]), (158,169,[5_1|2]), (158,172,[2_1|2]), (158,178,[2_1|2]), (158,187,[5_1|2]), (158,204,[0_1|2]), (158,221,[3_1|2]), (159,160,[5_1|2]), (160,161,[3_1|2]), (161,162,[2_1|2]), (162,163,[2_1|2]), (163,164,[1_1|2]), (164,165,[2_1|2]), (165,150,[2_1|2]), (165,159,[2_1|2]), (165,172,[2_1|2]), (165,178,[2_1|2]), (165,238,[2_1|2]), (165,242,[2_1|2]), (165,292,[2_1|2]), (166,167,[1_1|2]), (167,168,[1_1|2]), (167,172,[2_1|2]), (168,150,[0_1|2]), (168,267,[0_1|2]), (168,278,[0_1|2]), (168,302,[0_1|2]), (168,151,[0_1|2]), (168,155,[0_1|2]), (168,159,[2_1|2]), (169,170,[5_1|2]), (170,171,[5_1|2]), (171,150,[2_1|2]), (171,267,[2_1|2]), (171,278,[2_1|2]), (171,302,[2_1|2]), (171,238,[2_1|2]), (171,242,[2_1|2]), (172,173,[5_1|2]), (173,174,[4_1|2]), (174,175,[5_1|2]), (175,176,[1_1|2]), (176,177,[1_1|2]), (176,166,[1_1|2]), (176,169,[5_1|2]), (177,150,[4_1|2]), (177,267,[4_1|2]), (177,278,[4_1|2]), (177,302,[4_1|2]), (177,252,[1_1|2]), (177,257,[0_1|2]), (177,292,[2_1|2]), (178,179,[1_1|2]), (179,180,[2_1|2]), (180,181,[4_1|2]), (181,182,[2_1|2]), (182,183,[2_1|2]), (183,184,[3_1|2]), (184,185,[0_1|2]), (185,186,[2_1|2]), (186,150,[1_1|2]), (186,169,[1_1|2, 5_1|2]), (186,187,[1_1|2, 5_1|2]), (186,328,[1_1|2]), (186,344,[1_1|2]), (186,361,[1_1|2]), (186,268,[1_1|2]), (186,175,[1_1|2]), (186,166,[1_1|2]), (186,172,[2_1|2]), (186,178,[2_1|2]), (186,204,[0_1|2]), (186,221,[3_1|2]), (187,188,[4_1|2]), (188,189,[3_1|2]), (189,190,[1_1|2]), (190,191,[4_1|2]), (191,192,[2_1|2]), (192,193,[4_1|2]), (193,194,[5_1|2]), (194,195,[4_1|2]), (195,196,[5_1|2]), (196,197,[0_1|2]), (197,198,[3_1|2]), (198,199,[1_1|2]), (199,200,[0_1|2]), (200,201,[2_1|2]), (201,202,[2_1|2]), (202,203,[1_1|2]), (203,150,[3_1|2]), (203,221,[3_1|2]), (203,400,[3_1|2]), (203,303,[3_1|2]), (203,374,[0_1|2]), (203,385,[0_1|2]), (204,205,[4_1|2]), (205,206,[3_1|2]), (206,207,[3_1|2]), (207,208,[2_1|2]), (208,209,[2_1|2]), (209,210,[0_1|2]), (210,211,[5_1|2]), (211,212,[1_1|2]), (212,213,[0_1|2]), (213,214,[4_1|2]), (214,215,[4_1|2]), (215,216,[3_1|2]), (216,217,[2_1|2]), (217,218,[3_1|2]), (218,219,[5_1|2]), (218,344,[5_1|2]), (219,220,[4_1|2]), (219,267,[4_1|2]), (219,278,[4_1|2]), (220,150,[2_1|2]), (220,159,[2_1|2]), (220,172,[2_1|2]), (220,178,[2_1|2]), (220,238,[2_1|2]), (220,242,[2_1|2]), (220,292,[2_1|2]), (220,258,[2_1|2]), (221,222,[4_1|2]), (222,223,[0_1|2]), (223,224,[2_1|2]), (224,225,[1_1|2]), (225,226,[0_1|2]), (226,227,[4_1|2]), (227,228,[1_1|2]), (228,229,[0_1|2]), (229,230,[3_1|2]), (230,231,[1_1|2]), (231,232,[4_1|2]), (232,233,[0_1|2]), (233,234,[3_1|2]), (234,235,[4_1|2]), (235,236,[2_1|2]), (235,238,[2_1|2]), (235,418,[2_1|3]), (236,237,[0_1|2]), (237,150,[5_1|2]), (237,166,[5_1|2]), (237,252,[5_1|2]), (237,320,[0_1|2]), (237,328,[5_1|2]), (237,344,[5_1|2]), (237,361,[5_1|2]), (238,239,[2_1|2]), (239,240,[3_1|2]), (240,241,[2_1|2]), (241,150,[1_1|2]), (241,169,[1_1|2, 5_1|2]), (241,187,[1_1|2, 5_1|2]), (241,328,[1_1|2]), (241,344,[1_1|2]), (241,361,[1_1|2]), (241,160,[1_1|2]), (241,173,[1_1|2]), (241,293,[1_1|2]), (241,166,[1_1|2]), (241,172,[2_1|2]), (241,178,[2_1|2]), (241,204,[0_1|2]), (241,221,[3_1|2]), (242,243,[0_1|2]), (243,244,[0_1|2]), (244,245,[2_1|2]), (245,246,[0_1|2]), (246,247,[4_1|2]), (247,248,[4_1|2]), (248,249,[3_1|2]), (249,250,[1_1|2]), (250,251,[0_1|2]), (251,150,[2_1|2]), (251,267,[2_1|2]), (251,278,[2_1|2]), (251,302,[2_1|2]), (251,205,[2_1|2]), (251,375,[2_1|2]), (251,238,[2_1|2]), (251,242,[2_1|2]), (252,253,[1_1|2]), (253,254,[3_1|2]), (254,255,[5_1|2]), (255,256,[1_1|2]), (255,187,[5_1|2]), (255,204,[0_1|2]), (256,150,[5_1|2]), (256,169,[5_1|2]), (256,187,[5_1|2]), (256,328,[5_1|2]), (256,344,[5_1|2]), (256,361,[5_1|2]), (256,320,[0_1|2]), (257,258,[2_1|2]), (258,259,[0_1|2]), (259,260,[0_1|2]), (260,261,[0_1|2]), (261,262,[1_1|2]), (262,263,[0_1|2]), (263,264,[1_1|2]), (264,265,[5_1|2]), (265,266,[2_1|2]), (266,150,[1_1|2]), (266,166,[1_1|2]), (266,252,[1_1|2]), (266,179,[1_1|2]), (266,169,[5_1|2]), (266,172,[2_1|2]), (266,178,[2_1|2]), (266,187,[5_1|2]), (266,204,[0_1|2]), (266,221,[3_1|2]), (267,268,[5_1|2]), (268,269,[2_1|2]), (269,270,[5_1|2]), (270,271,[1_1|2]), (271,272,[2_1|2]), (272,273,[4_1|2]), (273,274,[5_1|2]), (274,275,[4_1|2]), (275,276,[3_1|2]), (276,277,[3_1|2]), (277,150,[5_1|2]), (277,169,[5_1|2]), (277,187,[5_1|2]), (277,328,[5_1|2]), (277,344,[5_1|2]), (277,361,[5_1|2]), (277,320,[0_1|2]), (278,279,[2_1|2]), (279,280,[2_1|2]), (280,281,[5_1|2]), (281,282,[1_1|2]), (282,283,[0_1|2]), (283,284,[2_1|2]), (284,285,[5_1|2]), (285,286,[1_1|2]), (286,287,[0_1|2]), (287,288,[3_1|2]), (288,289,[0_1|2]), (289,290,[3_1|2]), (290,291,[5_1|2]), (291,150,[3_1|2]), (291,267,[3_1|2]), (291,278,[3_1|2]), (291,302,[3_1|2]), (291,188,[3_1|2]), (291,329,[3_1|2]), (291,345,[3_1|2]), (291,374,[0_1|2]), (291,385,[0_1|2]), (291,400,[3_1|2]), (292,293,[5_1|2]), (293,294,[3_1|2]), (294,295,[0_1|2]), (295,296,[2_1|2]), (296,297,[5_1|2]), (297,298,[2_1|2]), (298,299,[4_1|2]), (299,300,[4_1|2]), (300,301,[1_1|2]), (301,150,[3_1|2]), (301,221,[3_1|2]), (301,400,[3_1|2]), (301,303,[3_1|2]), (301,374,[0_1|2]), (301,385,[0_1|2]), (302,303,[3_1|2]), (303,304,[4_1|2]), (304,305,[5_1|2]), (305,306,[3_1|2]), (306,307,[1_1|2]), (307,308,[1_1|2]), (308,309,[4_1|2]), (309,310,[1_1|2]), (310,311,[3_1|2]), (311,312,[0_1|2]), (312,313,[2_1|2]), (313,314,[0_1|2]), (314,315,[2_1|2]), (315,316,[5_1|2]), (316,317,[1_1|2]), (317,318,[1_1|2]), (318,319,[3_1|2]), (319,150,[1_1|2]), (319,166,[1_1|2]), (319,252,[1_1|2]), (319,169,[5_1|2]), (319,172,[2_1|2]), (319,178,[2_1|2]), (319,187,[5_1|2]), (319,204,[0_1|2]), (319,221,[3_1|2]), (320,321,[0_1|2]), (321,322,[1_1|2]), (322,323,[2_1|2]), (323,324,[1_1|2]), (324,325,[2_1|2]), (325,326,[3_1|2]), (326,327,[2_1|2]), (327,150,[2_1|2]), (327,267,[2_1|2]), (327,278,[2_1|2]), (327,302,[2_1|2]), (327,188,[2_1|2]), (327,329,[2_1|2]), (327,345,[2_1|2]), (327,238,[2_1|2]), (327,242,[2_1|2]), (328,329,[4_1|2]), (329,330,[0_1|2]), (330,331,[5_1|2]), (331,332,[1_1|2]), (332,333,[1_1|2]), (333,334,[1_1|2]), (334,335,[1_1|2]), (335,336,[3_1|2]), (336,337,[2_1|2]), (337,338,[0_1|2]), (338,339,[0_1|2]), (339,340,[3_1|2]), (340,341,[5_1|2]), (341,342,[0_1|2]), (342,343,[1_1|2]), (343,150,[3_1|2]), (343,221,[3_1|2]), (343,400,[3_1|2]), (343,303,[3_1|2]), (343,189,[3_1|2]), (343,374,[0_1|2]), (343,385,[0_1|2]), (344,345,[4_1|2]), (345,346,[4_1|2]), (346,347,[2_1|2]), (347,348,[2_1|2]), (348,349,[1_1|2]), (349,350,[4_1|2]), (350,351,[4_1|2]), (351,352,[5_1|2]), (352,353,[1_1|2]), (353,354,[4_1|2]), (354,355,[5_1|2]), (355,356,[4_1|2]), (356,357,[5_1|2]), (357,358,[2_1|2]), (358,359,[2_1|2]), (359,360,[0_1|2]), (360,150,[3_1|2]), (360,267,[3_1|2]), (360,278,[3_1|2]), (360,302,[3_1|2]), (360,374,[0_1|2]), (360,385,[0_1|2]), (360,400,[3_1|2]), (361,362,[5_1|2]), (362,363,[0_1|2]), (363,364,[3_1|2]), (364,365,[1_1|2]), (365,366,[2_1|2]), (366,367,[0_1|2]), (367,368,[2_1|2]), (368,369,[0_1|2]), (369,370,[2_1|2]), (370,371,[0_1|2]), (371,372,[4_1|2]), (372,373,[1_1|2]), (372,178,[2_1|2]), (373,150,[2_1|2]), (373,267,[2_1|2]), (373,278,[2_1|2]), (373,302,[2_1|2]), (373,188,[2_1|2]), (373,329,[2_1|2]), (373,345,[2_1|2]), (373,238,[2_1|2]), (373,242,[2_1|2]), (374,375,[4_1|2]), (375,376,[1_1|2]), (376,377,[4_1|2]), (377,378,[3_1|2]), (378,379,[2_1|2]), (379,380,[0_1|2]), (380,381,[2_1|2]), (381,382,[5_1|2]), (382,383,[4_1|2]), (383,384,[3_1|2]), (384,150,[3_1|2]), (384,267,[3_1|2]), (384,278,[3_1|2]), (384,302,[3_1|2]), (384,205,[3_1|2]), (384,375,[3_1|2]), (384,374,[0_1|2]), (384,385,[0_1|2]), (384,400,[3_1|2]), (385,386,[1_1|2]), (386,387,[5_1|2]), (387,388,[5_1|2]), (388,389,[0_1|2]), (389,390,[1_1|2]), (390,391,[5_1|2]), (391,392,[0_1|2]), (392,393,[5_1|2]), (393,394,[0_1|2]), (394,395,[0_1|2]), (395,396,[4_1|2]), (396,397,[0_1|2]), (397,398,[4_1|2]), (397,292,[2_1|2]), (398,399,[3_1|2]), (399,150,[4_1|2]), (399,267,[4_1|2]), (399,278,[4_1|2]), (399,302,[4_1|2]), (399,252,[1_1|2]), (399,257,[0_1|2]), (399,292,[2_1|2]), (400,401,[0_1|2]), (401,402,[3_1|2]), (402,403,[1_1|2]), (403,404,[1_1|2]), (404,405,[3_1|2]), (405,406,[0_1|2]), (406,407,[4_1|2]), (407,408,[1_1|2]), (408,409,[1_1|2]), (409,410,[2_1|2]), (410,411,[1_1|2]), (411,412,[5_1|2]), (412,413,[2_1|2]), (413,414,[0_1|2]), (414,415,[0_1|2]), (415,416,[4_1|2]), (416,417,[2_1|2]), (417,150,[3_1|2]), (417,221,[3_1|2]), (417,400,[3_1|2]), (417,303,[3_1|2]), (417,189,[3_1|2]), (417,374,[0_1|2]), (417,385,[0_1|2]), (418,419,[2_1|3]), (419,420,[3_1|3]), (420,421,[2_1|3]), (421,160,[1_1|3]), (421,173,[1_1|3]), (421,293,[1_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)