/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 94 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 44 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(3(x1)))) -> 1(4(3(x1))) 1(2(0(4(2(x1))))) -> 3(4(5(4(x1)))) 3(3(0(3(2(x1))))) -> 3(2(4(1(x1)))) 5(2(1(0(4(x1))))) -> 5(5(4(5(x1)))) 0(1(4(5(0(5(x1)))))) -> 3(0(4(0(3(5(x1)))))) 0(2(5(2(1(5(x1)))))) -> 5(2(1(5(4(x1))))) 0(3(5(1(5(5(x1)))))) -> 0(5(1(5(4(x1))))) 2(2(5(1(4(5(4(3(x1)))))))) -> 2(2(3(3(0(1(0(3(x1)))))))) 0(0(0(2(4(1(2(2(4(x1))))))))) -> 0(0(0(4(3(3(4(4(x1)))))))) 2(4(4(3(4(2(0(3(2(x1))))))))) -> 3(4(3(4(1(3(3(1(x1)))))))) 0(1(4(3(2(3(2(3(5(3(x1)))))))))) -> 1(4(3(0(3(4(2(5(3(x1))))))))) 0(2(1(5(0(4(3(1(4(2(2(x1))))))))))) -> 0(0(4(0(5(1(0(5(4(4(2(x1))))))))))) 4(4(3(3(0(2(4(2(4(4(1(5(x1)))))))))))) -> 4(4(0(4(3(1(5(5(5(2(5(x1))))))))))) 5(3(0(0(5(5(2(0(2(2(3(3(x1)))))))))))) -> 5(5(4(1(5(2(0(5(2(4(3(x1))))))))))) 0(2(0(2(5(5(1(5(0(2(5(2(2(x1))))))))))))) -> 5(4(3(1(4(0(1(0(1(5(2(x1))))))))))) 0(3(1(4(4(2(0(5(4(0(1(0(4(x1))))))))))))) -> 0(0(4(4(1(0(4(0(0(2(2(4(4(x1))))))))))))) 1(2(4(1(1(0(2(5(3(4(0(1(4(0(3(x1))))))))))))))) -> 1(1(0(4(5(0(3(2(0(5(2(0(0(3(3(x1))))))))))))))) 2(3(5(2(4(4(5(1(4(4(4(1(3(2(3(x1))))))))))))))) -> 2(3(3(1(1(1(5(3(3(5(1(3(5(2(3(x1))))))))))))))) 5(4(2(5(2(5(3(2(3(3(1(5(0(0(5(x1))))))))))))))) -> 5(2(3(5(4(1(3(1(4(4(4(4(1(3(5(x1))))))))))))))) 0(0(2(4(1(2(2(1(3(2(0(4(5(5(4(2(x1)))))))))))))))) -> 0(5(1(1(0(2(3(5(4(3(0(2(5(2(3(5(1(x1))))))))))))))))) 0(1(1(5(3(0(1(4(2(2(4(0(1(0(2(3(4(x1))))))))))))))))) -> 0(4(2(2(0(1(5(4(4(0(2(2(2(5(5(4(x1)))))))))))))))) 0(2(3(2(5(2(4(3(2(4(3(0(2(4(5(1(3(x1))))))))))))))))) -> 3(4(3(5(2(5(3(1(5(0(1(0(5(5(2(3(x1)))))))))))))))) 4(5(4(5(4(2(1(4(5(0(2(0(4(3(0(0(1(0(0(2(x1)))))))))))))))))))) -> 4(4(2(2(5(2(0(0(0(5(3(4(1(2(2(1(1(5(0(0(x1)))))))))))))))))))) 3(0(1(0(5(2(4(4(4(5(2(4(1(1(4(5(4(0(3(2(1(x1))))))))))))))))))))) -> 3(4(2(0(4(5(2(2(2(3(3(3(5(0(5(5(3(2(1(1(4(x1))))))))))))))))))))) 3(3(2(1(0(0(3(1(2(0(2(1(2(3(5(4(0(2(2(1(1(x1))))))))))))))))))))) -> 3(4(5(2(4(3(4(3(5(3(4(5(4(2(5(5(1(0(1(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(3(x1)))) -> 1(4(3(x1))) 1(2(0(4(2(x1))))) -> 3(4(5(4(x1)))) 3(3(0(3(2(x1))))) -> 3(2(4(1(x1)))) 5(2(1(0(4(x1))))) -> 5(5(4(5(x1)))) 0(1(4(5(0(5(x1)))))) -> 3(0(4(0(3(5(x1)))))) 0(2(5(2(1(5(x1)))))) -> 5(2(1(5(4(x1))))) 0(3(5(1(5(5(x1)))))) -> 0(5(1(5(4(x1))))) 2(2(5(1(4(5(4(3(x1)))))))) -> 2(2(3(3(0(1(0(3(x1)))))))) 0(0(0(2(4(1(2(2(4(x1))))))))) -> 0(0(0(4(3(3(4(4(x1)))))))) 2(4(4(3(4(2(0(3(2(x1))))))))) -> 3(4(3(4(1(3(3(1(x1)))))))) 0(1(4(3(2(3(2(3(5(3(x1)))))))))) -> 1(4(3(0(3(4(2(5(3(x1))))))))) 0(2(1(5(0(4(3(1(4(2(2(x1))))))))))) -> 0(0(4(0(5(1(0(5(4(4(2(x1))))))))))) 4(4(3(3(0(2(4(2(4(4(1(5(x1)))))))))))) -> 4(4(0(4(3(1(5(5(5(2(5(x1))))))))))) 5(3(0(0(5(5(2(0(2(2(3(3(x1)))))))))))) -> 5(5(4(1(5(2(0(5(2(4(3(x1))))))))))) 0(2(0(2(5(5(1(5(0(2(5(2(2(x1))))))))))))) -> 5(4(3(1(4(0(1(0(1(5(2(x1))))))))))) 0(3(1(4(4(2(0(5(4(0(1(0(4(x1))))))))))))) -> 0(0(4(4(1(0(4(0(0(2(2(4(4(x1))))))))))))) 1(2(4(1(1(0(2(5(3(4(0(1(4(0(3(x1))))))))))))))) -> 1(1(0(4(5(0(3(2(0(5(2(0(0(3(3(x1))))))))))))))) 2(3(5(2(4(4(5(1(4(4(4(1(3(2(3(x1))))))))))))))) -> 2(3(3(1(1(1(5(3(3(5(1(3(5(2(3(x1))))))))))))))) 5(4(2(5(2(5(3(2(3(3(1(5(0(0(5(x1))))))))))))))) -> 5(2(3(5(4(1(3(1(4(4(4(4(1(3(5(x1))))))))))))))) 0(0(2(4(1(2(2(1(3(2(0(4(5(5(4(2(x1)))))))))))))))) -> 0(5(1(1(0(2(3(5(4(3(0(2(5(2(3(5(1(x1))))))))))))))))) 0(1(1(5(3(0(1(4(2(2(4(0(1(0(2(3(4(x1))))))))))))))))) -> 0(4(2(2(0(1(5(4(4(0(2(2(2(5(5(4(x1)))))))))))))))) 0(2(3(2(5(2(4(3(2(4(3(0(2(4(5(1(3(x1))))))))))))))))) -> 3(4(3(5(2(5(3(1(5(0(1(0(5(5(2(3(x1)))))))))))))))) 4(5(4(5(4(2(1(4(5(0(2(0(4(3(0(0(1(0(0(2(x1)))))))))))))))))))) -> 4(4(2(2(5(2(0(0(0(5(3(4(1(2(2(1(1(5(0(0(x1)))))))))))))))))))) 3(0(1(0(5(2(4(4(4(5(2(4(1(1(4(5(4(0(3(2(1(x1))))))))))))))))))))) -> 3(4(2(0(4(5(2(2(2(3(3(3(5(0(5(5(3(2(1(1(4(x1))))))))))))))))))))) 3(3(2(1(0(0(3(1(2(0(2(1(2(3(5(4(0(2(2(1(1(x1))))))))))))))))))))) -> 3(4(5(2(4(3(4(3(5(3(4(5(4(2(5(5(1(0(1(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(3(x1)))) -> 1(4(3(x1))) 1(2(0(4(2(x1))))) -> 3(4(5(4(x1)))) 3(3(0(3(2(x1))))) -> 3(2(4(1(x1)))) 5(2(1(0(4(x1))))) -> 5(5(4(5(x1)))) 0(1(4(5(0(5(x1)))))) -> 3(0(4(0(3(5(x1)))))) 0(2(5(2(1(5(x1)))))) -> 5(2(1(5(4(x1))))) 0(3(5(1(5(5(x1)))))) -> 0(5(1(5(4(x1))))) 2(2(5(1(4(5(4(3(x1)))))))) -> 2(2(3(3(0(1(0(3(x1)))))))) 0(0(0(2(4(1(2(2(4(x1))))))))) -> 0(0(0(4(3(3(4(4(x1)))))))) 2(4(4(3(4(2(0(3(2(x1))))))))) -> 3(4(3(4(1(3(3(1(x1)))))))) 0(1(4(3(2(3(2(3(5(3(x1)))))))))) -> 1(4(3(0(3(4(2(5(3(x1))))))))) 0(2(1(5(0(4(3(1(4(2(2(x1))))))))))) -> 0(0(4(0(5(1(0(5(4(4(2(x1))))))))))) 4(4(3(3(0(2(4(2(4(4(1(5(x1)))))))))))) -> 4(4(0(4(3(1(5(5(5(2(5(x1))))))))))) 5(3(0(0(5(5(2(0(2(2(3(3(x1)))))))))))) -> 5(5(4(1(5(2(0(5(2(4(3(x1))))))))))) 0(2(0(2(5(5(1(5(0(2(5(2(2(x1))))))))))))) -> 5(4(3(1(4(0(1(0(1(5(2(x1))))))))))) 0(3(1(4(4(2(0(5(4(0(1(0(4(x1))))))))))))) -> 0(0(4(4(1(0(4(0(0(2(2(4(4(x1))))))))))))) 1(2(4(1(1(0(2(5(3(4(0(1(4(0(3(x1))))))))))))))) -> 1(1(0(4(5(0(3(2(0(5(2(0(0(3(3(x1))))))))))))))) 2(3(5(2(4(4(5(1(4(4(4(1(3(2(3(x1))))))))))))))) -> 2(3(3(1(1(1(5(3(3(5(1(3(5(2(3(x1))))))))))))))) 5(4(2(5(2(5(3(2(3(3(1(5(0(0(5(x1))))))))))))))) -> 5(2(3(5(4(1(3(1(4(4(4(4(1(3(5(x1))))))))))))))) 0(0(2(4(1(2(2(1(3(2(0(4(5(5(4(2(x1)))))))))))))))) -> 0(5(1(1(0(2(3(5(4(3(0(2(5(2(3(5(1(x1))))))))))))))))) 0(1(1(5(3(0(1(4(2(2(4(0(1(0(2(3(4(x1))))))))))))))))) -> 0(4(2(2(0(1(5(4(4(0(2(2(2(5(5(4(x1)))))))))))))))) 0(2(3(2(5(2(4(3(2(4(3(0(2(4(5(1(3(x1))))))))))))))))) -> 3(4(3(5(2(5(3(1(5(0(1(0(5(5(2(3(x1)))))))))))))))) 4(5(4(5(4(2(1(4(5(0(2(0(4(3(0(0(1(0(0(2(x1)))))))))))))))))))) -> 4(4(2(2(5(2(0(0(0(5(3(4(1(2(2(1(1(5(0(0(x1)))))))))))))))))))) 3(0(1(0(5(2(4(4(4(5(2(4(1(1(4(5(4(0(3(2(1(x1))))))))))))))))))))) -> 3(4(2(0(4(5(2(2(2(3(3(3(5(0(5(5(3(2(1(1(4(x1))))))))))))))))))))) 3(3(2(1(0(0(3(1(2(0(2(1(2(3(5(4(0(2(2(1(1(x1))))))))))))))))))))) -> 3(4(5(2(4(3(4(3(5(3(4(5(4(2(5(5(1(0(1(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_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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(3(x1)))) -> 1(4(3(x1))) 1(2(0(4(2(x1))))) -> 3(4(5(4(x1)))) 3(3(0(3(2(x1))))) -> 3(2(4(1(x1)))) 5(2(1(0(4(x1))))) -> 5(5(4(5(x1)))) 0(1(4(5(0(5(x1)))))) -> 3(0(4(0(3(5(x1)))))) 0(2(5(2(1(5(x1)))))) -> 5(2(1(5(4(x1))))) 0(3(5(1(5(5(x1)))))) -> 0(5(1(5(4(x1))))) 2(2(5(1(4(5(4(3(x1)))))))) -> 2(2(3(3(0(1(0(3(x1)))))))) 0(0(0(2(4(1(2(2(4(x1))))))))) -> 0(0(0(4(3(3(4(4(x1)))))))) 2(4(4(3(4(2(0(3(2(x1))))))))) -> 3(4(3(4(1(3(3(1(x1)))))))) 0(1(4(3(2(3(2(3(5(3(x1)))))))))) -> 1(4(3(0(3(4(2(5(3(x1))))))))) 0(2(1(5(0(4(3(1(4(2(2(x1))))))))))) -> 0(0(4(0(5(1(0(5(4(4(2(x1))))))))))) 4(4(3(3(0(2(4(2(4(4(1(5(x1)))))))))))) -> 4(4(0(4(3(1(5(5(5(2(5(x1))))))))))) 5(3(0(0(5(5(2(0(2(2(3(3(x1)))))))))))) -> 5(5(4(1(5(2(0(5(2(4(3(x1))))))))))) 0(2(0(2(5(5(1(5(0(2(5(2(2(x1))))))))))))) -> 5(4(3(1(4(0(1(0(1(5(2(x1))))))))))) 0(3(1(4(4(2(0(5(4(0(1(0(4(x1))))))))))))) -> 0(0(4(4(1(0(4(0(0(2(2(4(4(x1))))))))))))) 1(2(4(1(1(0(2(5(3(4(0(1(4(0(3(x1))))))))))))))) -> 1(1(0(4(5(0(3(2(0(5(2(0(0(3(3(x1))))))))))))))) 2(3(5(2(4(4(5(1(4(4(4(1(3(2(3(x1))))))))))))))) -> 2(3(3(1(1(1(5(3(3(5(1(3(5(2(3(x1))))))))))))))) 5(4(2(5(2(5(3(2(3(3(1(5(0(0(5(x1))))))))))))))) -> 5(2(3(5(4(1(3(1(4(4(4(4(1(3(5(x1))))))))))))))) 0(0(2(4(1(2(2(1(3(2(0(4(5(5(4(2(x1)))))))))))))))) -> 0(5(1(1(0(2(3(5(4(3(0(2(5(2(3(5(1(x1))))))))))))))))) 0(1(1(5(3(0(1(4(2(2(4(0(1(0(2(3(4(x1))))))))))))))))) -> 0(4(2(2(0(1(5(4(4(0(2(2(2(5(5(4(x1)))))))))))))))) 0(2(3(2(5(2(4(3(2(4(3(0(2(4(5(1(3(x1))))))))))))))))) -> 3(4(3(5(2(5(3(1(5(0(1(0(5(5(2(3(x1)))))))))))))))) 4(5(4(5(4(2(1(4(5(0(2(0(4(3(0(0(1(0(0(2(x1)))))))))))))))))))) -> 4(4(2(2(5(2(0(0(0(5(3(4(1(2(2(1(1(5(0(0(x1)))))))))))))))))))) 3(0(1(0(5(2(4(4(4(5(2(4(1(1(4(5(4(0(3(2(1(x1))))))))))))))))))))) -> 3(4(2(0(4(5(2(2(2(3(3(3(5(0(5(5(3(2(1(1(4(x1))))))))))))))))))))) 3(3(2(1(0(0(3(1(2(0(2(1(2(3(5(4(0(2(2(1(1(x1))))))))))))))))))))) -> 3(4(5(2(4(3(4(3(5(3(4(5(4(2(5(5(1(0(1(x1))))))))))))))))))) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_3(x_1)) -> 3(encArg(x_1)) encArg(cons_5(x_1)) -> 5(encArg(x_1)) encArg(cons_2(x_1)) -> 2(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. "[109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363] {(109,110,[0_1|0, 1_1|0, 3_1|0, 5_1|0, 2_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]), (109,111,[0_1|1, 1_1|1, 3_1|1, 5_1|1, 2_1|1, 4_1|1]), (109,112,[1_1|2]), (109,114,[3_1|2]), (109,119,[1_1|2]), (109,127,[0_1|2]), (109,142,[5_1|2]), (109,146,[0_1|2]), (109,156,[5_1|2]), (109,166,[3_1|2]), (109,181,[0_1|2]), (109,185,[0_1|2]), (109,197,[0_1|2]), (109,204,[0_1|2]), (109,220,[3_1|2]), (109,223,[1_1|2]), (109,237,[3_1|2]), (109,240,[3_1|2]), (109,258,[3_1|2]), (109,278,[5_1|2]), (109,281,[5_1|2]), (109,291,[5_1|2]), (109,305,[2_1|2]), (109,312,[3_1|2]), (109,319,[2_1|2]), (109,333,[4_1|2]), (109,343,[4_1|2]), (110,110,[cons_0_1|0, cons_1_1|0, cons_3_1|0, cons_5_1|0, cons_2_1|0, cons_4_1|0]), (111,110,[encArg_1|1]), (111,111,[0_1|1, 1_1|1, 3_1|1, 5_1|1, 2_1|1, 4_1|1]), (111,112,[1_1|2]), (111,114,[3_1|2]), (111,119,[1_1|2]), (111,127,[0_1|2]), (111,142,[5_1|2]), (111,146,[0_1|2]), (111,156,[5_1|2]), (111,166,[3_1|2]), (111,181,[0_1|2]), (111,185,[0_1|2]), (111,197,[0_1|2]), (111,204,[0_1|2]), (111,220,[3_1|2]), (111,223,[1_1|2]), (111,237,[3_1|2]), (111,240,[3_1|2]), (111,258,[3_1|2]), (111,278,[5_1|2]), (111,281,[5_1|2]), (111,291,[5_1|2]), (111,305,[2_1|2]), (111,312,[3_1|2]), (111,319,[2_1|2]), (111,333,[4_1|2]), (111,343,[4_1|2]), (112,113,[4_1|2]), (113,111,[3_1|2]), (113,114,[3_1|2]), (113,166,[3_1|2]), (113,220,[3_1|2]), (113,237,[3_1|2]), (113,240,[3_1|2]), (113,258,[3_1|2]), (113,312,[3_1|2]), (113,320,[3_1|2]), (114,115,[0_1|2]), (115,116,[4_1|2]), (116,117,[0_1|2]), (116,181,[0_1|2]), (117,118,[3_1|2]), (118,111,[5_1|2]), (118,142,[5_1|2]), (118,156,[5_1|2]), (118,278,[5_1|2]), (118,281,[5_1|2]), (118,291,[5_1|2]), (118,182,[5_1|2]), (118,205,[5_1|2]), (119,120,[4_1|2]), (120,121,[3_1|2]), (121,122,[0_1|2]), (122,123,[3_1|2]), (123,124,[4_1|2]), (124,125,[2_1|2]), (125,126,[5_1|2]), (125,281,[5_1|2]), (126,111,[3_1|2]), (126,114,[3_1|2]), (126,166,[3_1|2]), (126,220,[3_1|2]), (126,237,[3_1|2]), (126,240,[3_1|2]), (126,258,[3_1|2]), (126,312,[3_1|2]), (127,128,[4_1|2]), (128,129,[2_1|2]), (129,130,[2_1|2]), (130,131,[0_1|2]), (131,132,[1_1|2]), (132,133,[5_1|2]), (133,134,[4_1|2]), (134,135,[4_1|2]), (135,136,[0_1|2]), (136,137,[2_1|2]), (137,138,[2_1|2]), (138,139,[2_1|2]), (139,140,[5_1|2]), (140,141,[5_1|2]), (140,291,[5_1|2]), (141,111,[4_1|2]), (141,333,[4_1|2]), (141,343,[4_1|2]), (141,167,[4_1|2]), (141,221,[4_1|2]), (141,241,[4_1|2]), (141,259,[4_1|2]), (141,313,[4_1|2]), (142,143,[2_1|2]), (143,144,[1_1|2]), (144,145,[5_1|2]), (144,291,[5_1|2]), (145,111,[4_1|2]), (145,142,[4_1|2]), (145,156,[4_1|2]), (145,278,[4_1|2]), (145,281,[4_1|2]), (145,291,[4_1|2]), (145,145,[4_1|2]), (145,333,[4_1|2]), (145,343,[4_1|2]), (146,147,[0_1|2]), (147,148,[4_1|2]), (148,149,[0_1|2]), (149,150,[5_1|2]), (150,151,[1_1|2]), (151,152,[0_1|2]), (152,153,[5_1|2]), (153,154,[4_1|2]), (154,155,[4_1|2]), (155,111,[2_1|2]), (155,305,[2_1|2]), (155,319,[2_1|2]), (155,306,[2_1|2]), (155,312,[3_1|2]), (156,157,[4_1|2]), (157,158,[3_1|2]), (158,159,[1_1|2]), (159,160,[4_1|2]), (160,161,[0_1|2]), (161,162,[1_1|2]), (162,163,[0_1|2]), (163,164,[1_1|2]), (164,165,[5_1|2]), (164,278,[5_1|2]), (165,111,[2_1|2]), (165,305,[2_1|2]), (165,319,[2_1|2]), (165,306,[2_1|2]), (165,312,[3_1|2]), (166,167,[4_1|2]), (167,168,[3_1|2]), (168,169,[5_1|2]), (169,170,[2_1|2]), (170,171,[5_1|2]), (171,172,[3_1|2]), (172,173,[1_1|2]), (173,174,[5_1|2]), (174,175,[0_1|2]), (175,176,[1_1|2]), (176,177,[0_1|2]), (177,178,[5_1|2]), (178,179,[5_1|2]), (179,180,[2_1|2]), (179,319,[2_1|2]), (180,111,[3_1|2]), (180,114,[3_1|2]), (180,166,[3_1|2]), (180,220,[3_1|2]), (180,237,[3_1|2]), (180,240,[3_1|2]), (180,258,[3_1|2]), (180,312,[3_1|2]), (181,182,[5_1|2]), (182,183,[1_1|2]), (183,184,[5_1|2]), (183,291,[5_1|2]), (184,111,[4_1|2]), (184,142,[4_1|2]), (184,156,[4_1|2]), (184,278,[4_1|2]), (184,281,[4_1|2]), (184,291,[4_1|2]), (184,279,[4_1|2]), (184,282,[4_1|2]), (184,333,[4_1|2]), (184,343,[4_1|2]), (185,186,[0_1|2]), (186,187,[4_1|2]), (187,188,[4_1|2]), (188,189,[1_1|2]), (189,190,[0_1|2]), (190,191,[4_1|2]), (191,192,[0_1|2]), (192,193,[0_1|2]), (193,194,[2_1|2]), (194,195,[2_1|2]), (194,312,[3_1|2]), (195,196,[4_1|2]), (195,333,[4_1|2]), (196,111,[4_1|2]), (196,333,[4_1|2]), (196,343,[4_1|2]), (196,128,[4_1|2]), (197,198,[0_1|2]), (198,199,[0_1|2]), (199,200,[4_1|2]), (200,201,[3_1|2]), (201,202,[3_1|2]), (202,203,[4_1|2]), (202,333,[4_1|2]), (203,111,[4_1|2]), (203,333,[4_1|2]), (203,343,[4_1|2]), (204,205,[5_1|2]), (205,206,[1_1|2]), (206,207,[1_1|2]), (207,208,[0_1|2]), (208,209,[2_1|2]), (209,210,[3_1|2]), (210,211,[5_1|2]), (211,212,[4_1|2]), (212,213,[3_1|2]), (213,214,[0_1|2]), (214,215,[2_1|2]), (215,216,[5_1|2]), (216,217,[2_1|2]), (217,218,[3_1|2]), (218,219,[5_1|2]), (219,111,[1_1|2]), (219,305,[1_1|2]), (219,319,[1_1|2]), (219,220,[3_1|2]), (219,223,[1_1|2]), (220,221,[4_1|2]), (220,343,[4_1|2]), (221,222,[5_1|2]), (221,291,[5_1|2]), (222,111,[4_1|2]), (222,305,[4_1|2]), (222,319,[4_1|2]), (222,129,[4_1|2]), (222,333,[4_1|2]), (222,343,[4_1|2]), (223,224,[1_1|2]), (224,225,[0_1|2]), (225,226,[4_1|2]), (226,227,[5_1|2]), (227,228,[0_1|2]), (228,229,[3_1|2]), (229,230,[2_1|2]), (230,231,[0_1|2]), (231,232,[5_1|2]), (232,233,[2_1|2]), (233,234,[0_1|2]), (234,235,[0_1|2]), (235,236,[3_1|2]), (235,237,[3_1|2]), (235,240,[3_1|2]), (236,111,[3_1|2]), (236,114,[3_1|2]), (236,166,[3_1|2]), (236,220,[3_1|2]), (236,237,[3_1|2]), (236,240,[3_1|2]), (236,258,[3_1|2]), (236,312,[3_1|2]), (237,238,[2_1|2]), (238,239,[4_1|2]), (239,111,[1_1|2]), (239,305,[1_1|2]), (239,319,[1_1|2]), (239,238,[1_1|2]), (239,220,[3_1|2]), (239,223,[1_1|2]), (240,241,[4_1|2]), (241,242,[5_1|2]), (242,243,[2_1|2]), (243,244,[4_1|2]), (244,245,[3_1|2]), (245,246,[4_1|2]), (246,247,[3_1|2]), (247,248,[5_1|2]), (248,249,[3_1|2]), (249,250,[4_1|2]), (250,251,[5_1|2]), (251,252,[4_1|2]), (252,253,[2_1|2]), (253,254,[5_1|2]), (254,255,[5_1|2]), (255,256,[1_1|2]), (256,257,[0_1|2]), (256,112,[1_1|2]), (256,114,[3_1|2]), (256,119,[1_1|2]), (256,127,[0_1|2]), (256,362,[1_1|3]), (257,111,[1_1|2]), (257,112,[1_1|2]), (257,119,[1_1|2]), (257,223,[1_1|2]), (257,224,[1_1|2]), (257,220,[3_1|2]), (258,259,[4_1|2]), (259,260,[2_1|2]), (260,261,[0_1|2]), (261,262,[4_1|2]), (262,263,[5_1|2]), (263,264,[2_1|2]), (264,265,[2_1|2]), (265,266,[2_1|2]), (266,267,[3_1|2]), (267,268,[3_1|2]), (268,269,[3_1|2]), (269,270,[5_1|2]), (270,271,[0_1|2]), (271,272,[5_1|2]), (272,273,[5_1|2]), (273,274,[3_1|2]), (274,275,[2_1|2]), (275,276,[1_1|2]), (276,277,[1_1|2]), (277,111,[4_1|2]), (277,112,[4_1|2]), (277,119,[4_1|2]), (277,223,[4_1|2]), (277,333,[4_1|2]), (277,343,[4_1|2]), (278,279,[5_1|2]), (279,280,[4_1|2]), (279,343,[4_1|2]), (280,111,[5_1|2]), (280,333,[5_1|2]), (280,343,[5_1|2]), (280,128,[5_1|2]), (280,278,[5_1|2]), (280,281,[5_1|2]), (280,291,[5_1|2]), (281,282,[5_1|2]), (282,283,[4_1|2]), (283,284,[1_1|2]), (284,285,[5_1|2]), (285,286,[2_1|2]), (286,287,[0_1|2]), (287,288,[5_1|2]), (288,289,[2_1|2]), (289,290,[4_1|2]), (290,111,[3_1|2]), (290,114,[3_1|2]), (290,166,[3_1|2]), (290,220,[3_1|2]), (290,237,[3_1|2]), (290,240,[3_1|2]), (290,258,[3_1|2]), (290,312,[3_1|2]), (290,321,[3_1|2]), (290,308,[3_1|2]), (291,292,[2_1|2]), (292,293,[3_1|2]), (293,294,[5_1|2]), (294,295,[4_1|2]), (295,296,[1_1|2]), (296,297,[3_1|2]), (297,298,[1_1|2]), (298,299,[4_1|2]), (299,300,[4_1|2]), (300,301,[4_1|2]), (301,302,[4_1|2]), (302,303,[1_1|2]), (303,304,[3_1|2]), (304,111,[5_1|2]), (304,142,[5_1|2]), (304,156,[5_1|2]), (304,278,[5_1|2]), (304,281,[5_1|2]), (304,291,[5_1|2]), (304,182,[5_1|2]), (304,205,[5_1|2]), (305,306,[2_1|2]), (306,307,[3_1|2]), (307,308,[3_1|2]), (308,309,[0_1|2]), (309,310,[1_1|2]), (310,311,[0_1|2]), (310,181,[0_1|2]), (310,185,[0_1|2]), (311,111,[3_1|2]), (311,114,[3_1|2]), (311,166,[3_1|2]), (311,220,[3_1|2]), (311,237,[3_1|2]), (311,240,[3_1|2]), (311,258,[3_1|2]), (311,312,[3_1|2]), (311,158,[3_1|2]), (312,313,[4_1|2]), (313,314,[3_1|2]), (314,315,[4_1|2]), (315,316,[1_1|2]), (316,317,[3_1|2]), (317,318,[3_1|2]), (318,111,[1_1|2]), (318,305,[1_1|2]), (318,319,[1_1|2]), (318,238,[1_1|2]), (318,220,[3_1|2]), (318,223,[1_1|2]), (319,320,[3_1|2]), (320,321,[3_1|2]), (321,322,[1_1|2]), (322,323,[1_1|2]), (323,324,[1_1|2]), (324,325,[5_1|2]), (325,326,[3_1|2]), (326,327,[3_1|2]), (327,328,[5_1|2]), (328,329,[1_1|2]), (329,330,[3_1|2]), (330,331,[5_1|2]), (331,332,[2_1|2]), (331,319,[2_1|2]), (332,111,[3_1|2]), (332,114,[3_1|2]), (332,166,[3_1|2]), (332,220,[3_1|2]), (332,237,[3_1|2]), (332,240,[3_1|2]), (332,258,[3_1|2]), (332,312,[3_1|2]), (332,320,[3_1|2]), (333,334,[4_1|2]), (334,335,[0_1|2]), (335,336,[4_1|2]), (336,337,[3_1|2]), (337,338,[1_1|2]), (338,339,[5_1|2]), (339,340,[5_1|2]), (340,341,[5_1|2]), (341,342,[2_1|2]), (342,111,[5_1|2]), (342,142,[5_1|2]), (342,156,[5_1|2]), (342,278,[5_1|2]), (342,281,[5_1|2]), (342,291,[5_1|2]), (343,344,[4_1|2]), (344,345,[2_1|2]), (345,346,[2_1|2]), (346,347,[5_1|2]), (347,348,[2_1|2]), (348,349,[0_1|2]), (349,350,[0_1|2]), (350,351,[0_1|2]), (351,352,[5_1|2]), (352,353,[3_1|2]), (353,354,[4_1|2]), (354,355,[1_1|2]), (355,356,[2_1|2]), (356,357,[2_1|2]), (357,358,[1_1|2]), (358,359,[1_1|2]), (359,360,[5_1|2]), (360,361,[0_1|2]), (360,197,[0_1|2]), (360,204,[0_1|2]), (360,119,[1_1|2]), (361,111,[0_1|2]), (361,305,[0_1|2]), (361,319,[0_1|2]), (361,112,[1_1|2]), (361,114,[3_1|2]), (361,119,[1_1|2]), (361,127,[0_1|2]), (361,142,[5_1|2]), (361,146,[0_1|2]), (361,156,[5_1|2]), (361,166,[3_1|2]), (361,181,[0_1|2]), (361,185,[0_1|2]), (361,197,[0_1|2]), (361,204,[0_1|2]), (362,363,[4_1|3]), (363,320,[3_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)