/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 57 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: 1(0(4(0(x1)))) -> 2(2(2(3(3(1(5(5(2(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(4(2(0(2(4(3(0(1(5(x1)))))))))) 1(4(2(5(2(x1))))) -> 4(3(5(0(2(2(0(0(5(3(x1)))))))))) 3(1(0(3(0(x1))))) -> 3(2(2(2(4(3(3(5(2(0(x1)))))))))) 5(0(1(4(3(x1))))) -> 3(5(4(2(2(0(4(3(3(0(x1)))))))))) 5(5(5(5(2(x1))))) -> 5(2(2(0(3(3(1(5(0(0(x1)))))))))) 0(5(0(1(1(3(x1)))))) -> 0(2(5(3(4(3(1(0(1(3(x1)))))))))) 0(5(0(5(2(5(x1)))))) -> 4(2(0(0(2(5(1(3(4(1(x1)))))))))) 1(5(4(0(1(1(x1)))))) -> 4(3(4(4(0(0(0(5(3(3(x1)))))))))) 2(4(0(1(0(4(x1)))))) -> 0(2(3(3(3(3(5(0(2(5(x1)))))))))) 2(4(1(3(1(4(x1)))))) -> 5(5(3(4(3(2(1(4(4(4(x1)))))))))) 2(5(2(5(4(0(x1)))))) -> 4(2(5(3(5(5(2(2(3(0(x1)))))))))) 3(4(2(4(2(5(x1)))))) -> 3(5(2(2(0(5(2(4(3(2(x1)))))))))) 4(1(3(0(4(0(x1)))))) -> 5(0(1(2(3(1(2(3(5(2(x1)))))))))) 5(4(3(2(4(0(x1)))))) -> 5(0(1(2(0(2(2(3(0(2(x1)))))))))) 5(5(0(4(0(3(x1)))))) -> 5(2(2(2(2(2(4(4(3(2(x1)))))))))) 0(0(5(0(4(0(5(x1))))))) -> 0(5(5(3(5(3(0(5(2(5(x1)))))))))) 0(0(5(1(2(5(1(x1))))))) -> 0(1(2(4(3(5(0(1(3(3(x1)))))))))) 0(0(5(5(5(0(5(x1))))))) -> 0(1(2(3(5(3(0(0(4(1(x1)))))))))) 0(1(1(1(3(0(1(x1))))))) -> 4(2(2(3(3(0(4(0(0(3(x1)))))))))) 0(3(1(0(3(1(1(x1))))))) -> 0(3(5(3(5(4(4(5(4(0(x1)))))))))) 0(4(1(2(5(0(5(x1))))))) -> 2(0(1(5(1(5(0(2(0(5(x1)))))))))) 0(4(2(4(2(3(4(x1))))))) -> 2(0(0(0(5(5(2(0(4(4(x1)))))))))) 0(5(0(3(5(2(0(x1))))))) -> 2(2(3(3(1(4(2(2(0(2(x1)))))))))) 1(0(4(0(4(0(5(x1))))))) -> 2(2(2(2(3(5(4(2(2(4(x1)))))))))) 1(0(4(2(4(2(4(x1))))))) -> 1(2(0(0(4(4(2(2(2(2(x1)))))))))) 1(0(5(0(4(3(4(x1))))))) -> 0(4(5(3(5(2(0(3(1(2(x1)))))))))) 1(0(5(5(0(4(2(x1))))))) -> 1(0(2(1(5(4(5(2(0(2(x1)))))))))) 1(2(4(4(2(4(0(x1))))))) -> 0(2(4(2(3(0(4(3(4(3(x1)))))))))) 2(1(1(4(4(1(4(x1))))))) -> 4(2(4(3(4(3(5(4(5(4(x1)))))))))) 2(4(2(3(3(4(1(x1))))))) -> 4(4(3(5(4(0(2(2(4(4(x1)))))))))) 3(4(0(5(2(3(5(x1))))))) -> 3(3(5(0(0(2(2(3(3(5(x1)))))))))) 3(4(2(0(5(1(2(x1))))))) -> 3(3(3(3(3(2(0(1(5(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_1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(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: 1(0(4(0(x1)))) -> 2(2(2(3(3(1(5(5(2(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(4(2(0(2(4(3(0(1(5(x1)))))))))) 1(4(2(5(2(x1))))) -> 4(3(5(0(2(2(0(0(5(3(x1)))))))))) 3(1(0(3(0(x1))))) -> 3(2(2(2(4(3(3(5(2(0(x1)))))))))) 5(0(1(4(3(x1))))) -> 3(5(4(2(2(0(4(3(3(0(x1)))))))))) 5(5(5(5(2(x1))))) -> 5(2(2(0(3(3(1(5(0(0(x1)))))))))) 0(5(0(1(1(3(x1)))))) -> 0(2(5(3(4(3(1(0(1(3(x1)))))))))) 0(5(0(5(2(5(x1)))))) -> 4(2(0(0(2(5(1(3(4(1(x1)))))))))) 1(5(4(0(1(1(x1)))))) -> 4(3(4(4(0(0(0(5(3(3(x1)))))))))) 2(4(0(1(0(4(x1)))))) -> 0(2(3(3(3(3(5(0(2(5(x1)))))))))) 2(4(1(3(1(4(x1)))))) -> 5(5(3(4(3(2(1(4(4(4(x1)))))))))) 2(5(2(5(4(0(x1)))))) -> 4(2(5(3(5(5(2(2(3(0(x1)))))))))) 3(4(2(4(2(5(x1)))))) -> 3(5(2(2(0(5(2(4(3(2(x1)))))))))) 4(1(3(0(4(0(x1)))))) -> 5(0(1(2(3(1(2(3(5(2(x1)))))))))) 5(4(3(2(4(0(x1)))))) -> 5(0(1(2(0(2(2(3(0(2(x1)))))))))) 5(5(0(4(0(3(x1)))))) -> 5(2(2(2(2(2(4(4(3(2(x1)))))))))) 0(0(5(0(4(0(5(x1))))))) -> 0(5(5(3(5(3(0(5(2(5(x1)))))))))) 0(0(5(1(2(5(1(x1))))))) -> 0(1(2(4(3(5(0(1(3(3(x1)))))))))) 0(0(5(5(5(0(5(x1))))))) -> 0(1(2(3(5(3(0(0(4(1(x1)))))))))) 0(1(1(1(3(0(1(x1))))))) -> 4(2(2(3(3(0(4(0(0(3(x1)))))))))) 0(3(1(0(3(1(1(x1))))))) -> 0(3(5(3(5(4(4(5(4(0(x1)))))))))) 0(4(1(2(5(0(5(x1))))))) -> 2(0(1(5(1(5(0(2(0(5(x1)))))))))) 0(4(2(4(2(3(4(x1))))))) -> 2(0(0(0(5(5(2(0(4(4(x1)))))))))) 0(5(0(3(5(2(0(x1))))))) -> 2(2(3(3(1(4(2(2(0(2(x1)))))))))) 1(0(4(0(4(0(5(x1))))))) -> 2(2(2(2(3(5(4(2(2(4(x1)))))))))) 1(0(4(2(4(2(4(x1))))))) -> 1(2(0(0(4(4(2(2(2(2(x1)))))))))) 1(0(5(0(4(3(4(x1))))))) -> 0(4(5(3(5(2(0(3(1(2(x1)))))))))) 1(0(5(5(0(4(2(x1))))))) -> 1(0(2(1(5(4(5(2(0(2(x1)))))))))) 1(2(4(4(2(4(0(x1))))))) -> 0(2(4(2(3(0(4(3(4(3(x1)))))))))) 2(1(1(4(4(1(4(x1))))))) -> 4(2(4(3(4(3(5(4(5(4(x1)))))))))) 2(4(2(3(3(4(1(x1))))))) -> 4(4(3(5(4(0(2(2(4(4(x1)))))))))) 3(4(0(5(2(3(5(x1))))))) -> 3(3(5(0(0(2(2(3(3(5(x1)))))))))) 3(4(2(0(5(1(2(x1))))))) -> 3(3(3(3(3(2(0(1(5(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(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: 1(0(4(0(x1)))) -> 2(2(2(3(3(1(5(5(2(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(4(2(0(2(4(3(0(1(5(x1)))))))))) 1(4(2(5(2(x1))))) -> 4(3(5(0(2(2(0(0(5(3(x1)))))))))) 3(1(0(3(0(x1))))) -> 3(2(2(2(4(3(3(5(2(0(x1)))))))))) 5(0(1(4(3(x1))))) -> 3(5(4(2(2(0(4(3(3(0(x1)))))))))) 5(5(5(5(2(x1))))) -> 5(2(2(0(3(3(1(5(0(0(x1)))))))))) 0(5(0(1(1(3(x1)))))) -> 0(2(5(3(4(3(1(0(1(3(x1)))))))))) 0(5(0(5(2(5(x1)))))) -> 4(2(0(0(2(5(1(3(4(1(x1)))))))))) 1(5(4(0(1(1(x1)))))) -> 4(3(4(4(0(0(0(5(3(3(x1)))))))))) 2(4(0(1(0(4(x1)))))) -> 0(2(3(3(3(3(5(0(2(5(x1)))))))))) 2(4(1(3(1(4(x1)))))) -> 5(5(3(4(3(2(1(4(4(4(x1)))))))))) 2(5(2(5(4(0(x1)))))) -> 4(2(5(3(5(5(2(2(3(0(x1)))))))))) 3(4(2(4(2(5(x1)))))) -> 3(5(2(2(0(5(2(4(3(2(x1)))))))))) 4(1(3(0(4(0(x1)))))) -> 5(0(1(2(3(1(2(3(5(2(x1)))))))))) 5(4(3(2(4(0(x1)))))) -> 5(0(1(2(0(2(2(3(0(2(x1)))))))))) 5(5(0(4(0(3(x1)))))) -> 5(2(2(2(2(2(4(4(3(2(x1)))))))))) 0(0(5(0(4(0(5(x1))))))) -> 0(5(5(3(5(3(0(5(2(5(x1)))))))))) 0(0(5(1(2(5(1(x1))))))) -> 0(1(2(4(3(5(0(1(3(3(x1)))))))))) 0(0(5(5(5(0(5(x1))))))) -> 0(1(2(3(5(3(0(0(4(1(x1)))))))))) 0(1(1(1(3(0(1(x1))))))) -> 4(2(2(3(3(0(4(0(0(3(x1)))))))))) 0(3(1(0(3(1(1(x1))))))) -> 0(3(5(3(5(4(4(5(4(0(x1)))))))))) 0(4(1(2(5(0(5(x1))))))) -> 2(0(1(5(1(5(0(2(0(5(x1)))))))))) 0(4(2(4(2(3(4(x1))))))) -> 2(0(0(0(5(5(2(0(4(4(x1)))))))))) 0(5(0(3(5(2(0(x1))))))) -> 2(2(3(3(1(4(2(2(0(2(x1)))))))))) 1(0(4(0(4(0(5(x1))))))) -> 2(2(2(2(3(5(4(2(2(4(x1)))))))))) 1(0(4(2(4(2(4(x1))))))) -> 1(2(0(0(4(4(2(2(2(2(x1)))))))))) 1(0(5(0(4(3(4(x1))))))) -> 0(4(5(3(5(2(0(3(1(2(x1)))))))))) 1(0(5(5(0(4(2(x1))))))) -> 1(0(2(1(5(4(5(2(0(2(x1)))))))))) 1(2(4(4(2(4(0(x1))))))) -> 0(2(4(2(3(0(4(3(4(3(x1)))))))))) 2(1(1(4(4(1(4(x1))))))) -> 4(2(4(3(4(3(5(4(5(4(x1)))))))))) 2(4(2(3(3(4(1(x1))))))) -> 4(4(3(5(4(0(2(2(4(4(x1)))))))))) 3(4(0(5(2(3(5(x1))))))) -> 3(3(5(0(0(2(2(3(3(5(x1)))))))))) 3(4(2(0(5(1(2(x1))))))) -> 3(3(3(3(3(2(0(1(5(3(x1)))))))))) The (relative) TRS S consists of the following rules: encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(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: 1(0(4(0(x1)))) -> 2(2(2(3(3(1(5(5(2(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(4(2(0(2(4(3(0(1(5(x1)))))))))) 1(4(2(5(2(x1))))) -> 4(3(5(0(2(2(0(0(5(3(x1)))))))))) 3(1(0(3(0(x1))))) -> 3(2(2(2(4(3(3(5(2(0(x1)))))))))) 5(0(1(4(3(x1))))) -> 3(5(4(2(2(0(4(3(3(0(x1)))))))))) 5(5(5(5(2(x1))))) -> 5(2(2(0(3(3(1(5(0(0(x1)))))))))) 0(5(0(1(1(3(x1)))))) -> 0(2(5(3(4(3(1(0(1(3(x1)))))))))) 0(5(0(5(2(5(x1)))))) -> 4(2(0(0(2(5(1(3(4(1(x1)))))))))) 1(5(4(0(1(1(x1)))))) -> 4(3(4(4(0(0(0(5(3(3(x1)))))))))) 2(4(0(1(0(4(x1)))))) -> 0(2(3(3(3(3(5(0(2(5(x1)))))))))) 2(4(1(3(1(4(x1)))))) -> 5(5(3(4(3(2(1(4(4(4(x1)))))))))) 2(5(2(5(4(0(x1)))))) -> 4(2(5(3(5(5(2(2(3(0(x1)))))))))) 3(4(2(4(2(5(x1)))))) -> 3(5(2(2(0(5(2(4(3(2(x1)))))))))) 4(1(3(0(4(0(x1)))))) -> 5(0(1(2(3(1(2(3(5(2(x1)))))))))) 5(4(3(2(4(0(x1)))))) -> 5(0(1(2(0(2(2(3(0(2(x1)))))))))) 5(5(0(4(0(3(x1)))))) -> 5(2(2(2(2(2(4(4(3(2(x1)))))))))) 0(0(5(0(4(0(5(x1))))))) -> 0(5(5(3(5(3(0(5(2(5(x1)))))))))) 0(0(5(1(2(5(1(x1))))))) -> 0(1(2(4(3(5(0(1(3(3(x1)))))))))) 0(0(5(5(5(0(5(x1))))))) -> 0(1(2(3(5(3(0(0(4(1(x1)))))))))) 0(1(1(1(3(0(1(x1))))))) -> 4(2(2(3(3(0(4(0(0(3(x1)))))))))) 0(3(1(0(3(1(1(x1))))))) -> 0(3(5(3(5(4(4(5(4(0(x1)))))))))) 0(4(1(2(5(0(5(x1))))))) -> 2(0(1(5(1(5(0(2(0(5(x1)))))))))) 0(4(2(4(2(3(4(x1))))))) -> 2(0(0(0(5(5(2(0(4(4(x1)))))))))) 0(5(0(3(5(2(0(x1))))))) -> 2(2(3(3(1(4(2(2(0(2(x1)))))))))) 1(0(4(0(4(0(5(x1))))))) -> 2(2(2(2(3(5(4(2(2(4(x1)))))))))) 1(0(4(2(4(2(4(x1))))))) -> 1(2(0(0(4(4(2(2(2(2(x1)))))))))) 1(0(5(0(4(3(4(x1))))))) -> 0(4(5(3(5(2(0(3(1(2(x1)))))))))) 1(0(5(5(0(4(2(x1))))))) -> 1(0(2(1(5(4(5(2(0(2(x1)))))))))) 1(2(4(4(2(4(0(x1))))))) -> 0(2(4(2(3(0(4(3(4(3(x1)))))))))) 2(1(1(4(4(1(4(x1))))))) -> 4(2(4(3(4(3(5(4(5(4(x1)))))))))) 2(4(2(3(3(4(1(x1))))))) -> 4(4(3(5(4(0(2(2(4(4(x1)))))))))) 3(4(0(5(2(3(5(x1))))))) -> 3(3(5(0(0(2(2(3(3(5(x1)))))))))) 3(4(2(0(5(1(2(x1))))))) -> 3(3(3(3(3(2(0(1(5(3(x1)))))))))) encArg(cons_1(x_1)) -> 1(encArg(x_1)) encArg(cons_0(x_1)) -> 0(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_1(x_1) -> 1(encArg(x_1)) encode_0(x_1) -> 0(encArg(x_1)) encode_4(x_1) -> 4(encArg(x_1)) encode_2(x_1) -> 2(encArg(x_1)) encode_3(x_1) -> 3(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. "[138, 139, 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] {(138,139,[1_1|0, 0_1|0, 3_1|0, 5_1|0, 2_1|0, 4_1|0, encArg_1|0, encode_1_1|0, encode_0_1|0, encode_4_1|0, encode_2_1|0, encode_3_1|0, encode_5_1|0]), (138,153,[1_1|1, 0_1|1, 3_1|1, 5_1|1, 2_1|1, 4_1|1]), (138,154,[2_1|2]), (138,163,[2_1|2]), (138,172,[1_1|2]), (138,181,[0_1|2]), (138,190,[1_1|2]), (138,199,[4_1|2]), (138,208,[4_1|2]), (138,217,[0_1|2]), (138,226,[2_1|2]), (138,235,[2_1|2]), (138,244,[2_1|2]), (138,253,[0_1|2]), (138,262,[4_1|2]), (138,271,[2_1|2]), (138,280,[0_1|2]), (138,289,[0_1|2]), (138,298,[0_1|2]), (138,307,[4_1|2]), (138,316,[0_1|2]), (138,325,[3_1|2]), (138,334,[3_1|2]), (138,343,[3_1|2]), (138,352,[3_1|2]), (138,361,[3_1|2]), (138,370,[5_1|2]), (138,379,[5_1|2]), (138,388,[5_1|2]), (138,397,[0_1|2]), (138,406,[5_1|2]), (138,415,[4_1|2]), (138,424,[4_1|2]), (138,433,[4_1|2]), (138,442,[5_1|2]), (139,139,[cons_1_1|0, cons_0_1|0, cons_3_1|0, cons_5_1|0, cons_2_1|0, cons_4_1|0]), (153,139,[encArg_1|1]), (153,153,[1_1|1, 0_1|1, 3_1|1, 5_1|1, 2_1|1, 4_1|1]), (153,154,[2_1|2]), (153,163,[2_1|2]), (153,172,[1_1|2]), (153,181,[0_1|2]), (153,190,[1_1|2]), (153,199,[4_1|2]), (153,208,[4_1|2]), (153,217,[0_1|2]), (153,226,[2_1|2]), (153,235,[2_1|2]), (153,244,[2_1|2]), (153,253,[0_1|2]), (153,262,[4_1|2]), (153,271,[2_1|2]), (153,280,[0_1|2]), (153,289,[0_1|2]), (153,298,[0_1|2]), (153,307,[4_1|2]), (153,316,[0_1|2]), (153,325,[3_1|2]), (153,334,[3_1|2]), (153,343,[3_1|2]), (153,352,[3_1|2]), (153,361,[3_1|2]), (153,370,[5_1|2]), (153,379,[5_1|2]), (153,388,[5_1|2]), (153,397,[0_1|2]), (153,406,[5_1|2]), (153,415,[4_1|2]), (153,424,[4_1|2]), (153,433,[4_1|2]), (153,442,[5_1|2]), (154,155,[2_1|2]), (155,156,[2_1|2]), (156,157,[3_1|2]), (157,158,[3_1|2]), (158,159,[1_1|2]), (159,160,[5_1|2]), (160,161,[5_1|2]), (161,162,[2_1|2]), (162,153,[0_1|2]), (162,181,[0_1|2]), (162,217,[0_1|2]), (162,253,[0_1|2]), (162,280,[0_1|2]), (162,289,[0_1|2]), (162,298,[0_1|2]), (162,316,[0_1|2]), (162,397,[0_1|2]), (162,226,[2_1|2]), (162,235,[2_1|2]), (162,244,[2_1|2]), (162,262,[4_1|2]), (162,271,[2_1|2]), (162,307,[4_1|2]), (163,164,[2_1|2]), (164,165,[2_1|2]), (165,166,[2_1|2]), (166,167,[3_1|2]), (167,168,[5_1|2]), (168,169,[4_1|2]), (169,170,[2_1|2]), (170,171,[2_1|2]), (170,397,[0_1|2]), (170,406,[5_1|2]), (170,415,[4_1|2]), (171,153,[4_1|2]), (171,370,[4_1|2]), (171,379,[4_1|2]), (171,388,[4_1|2]), (171,406,[4_1|2]), (171,442,[4_1|2, 5_1|2]), (171,281,[4_1|2]), (172,173,[2_1|2]), (173,174,[0_1|2]), (174,175,[0_1|2]), (175,176,[4_1|2]), (176,177,[4_1|2]), (177,178,[2_1|2]), (178,179,[2_1|2]), (179,180,[2_1|2]), (180,153,[2_1|2]), (180,199,[2_1|2]), (180,208,[2_1|2]), (180,262,[2_1|2]), (180,307,[2_1|2]), (180,415,[2_1|2, 4_1|2]), (180,424,[2_1|2, 4_1|2]), (180,433,[2_1|2, 4_1|2]), (180,227,[2_1|2]), (180,435,[2_1|2]), (180,397,[0_1|2]), (180,406,[5_1|2]), (181,182,[4_1|2]), (182,183,[5_1|2]), (183,184,[3_1|2]), (184,185,[5_1|2]), (185,186,[2_1|2]), (186,187,[0_1|2]), (187,188,[3_1|2]), (188,189,[1_1|2]), (188,217,[0_1|2]), (189,153,[2_1|2]), (189,199,[2_1|2]), (189,208,[2_1|2]), (189,262,[2_1|2]), (189,307,[2_1|2]), (189,415,[2_1|2, 4_1|2]), (189,424,[2_1|2, 4_1|2]), (189,433,[2_1|2, 4_1|2]), (189,210,[2_1|2]), (189,397,[0_1|2]), (189,406,[5_1|2]), (190,191,[0_1|2]), (191,192,[2_1|2]), (192,193,[1_1|2]), (193,194,[5_1|2]), (194,195,[4_1|2]), (195,196,[5_1|2]), (196,197,[2_1|2]), (197,198,[0_1|2]), (198,153,[2_1|2]), (198,154,[2_1|2]), (198,163,[2_1|2]), (198,226,[2_1|2]), (198,235,[2_1|2]), (198,244,[2_1|2]), (198,271,[2_1|2]), (198,263,[2_1|2]), (198,308,[2_1|2]), (198,425,[2_1|2]), (198,434,[2_1|2]), (198,397,[0_1|2]), (198,406,[5_1|2]), (198,415,[4_1|2]), (198,424,[4_1|2]), (198,433,[4_1|2]), (199,200,[3_1|2]), (200,201,[5_1|2]), (201,202,[0_1|2]), (202,203,[2_1|2]), (203,204,[2_1|2]), (204,205,[0_1|2]), (205,206,[0_1|2]), (206,207,[5_1|2]), (207,153,[3_1|2]), (207,154,[3_1|2]), (207,163,[3_1|2]), (207,226,[3_1|2]), (207,235,[3_1|2]), (207,244,[3_1|2]), (207,271,[3_1|2]), (207,371,[3_1|2]), (207,380,[3_1|2]), (207,325,[3_1|2]), (207,334,[3_1|2]), (207,343,[3_1|2]), (207,352,[3_1|2]), (208,209,[3_1|2]), (209,210,[4_1|2]), (210,211,[4_1|2]), (211,212,[0_1|2]), (212,213,[0_1|2]), (213,214,[0_1|2]), (214,215,[5_1|2]), (215,216,[3_1|2]), (216,153,[3_1|2]), (216,172,[3_1|2]), (216,190,[3_1|2]), (216,325,[3_1|2]), (216,334,[3_1|2]), (216,343,[3_1|2]), (216,352,[3_1|2]), (217,218,[2_1|2]), (218,219,[4_1|2]), (219,220,[2_1|2]), (220,221,[3_1|2]), (221,222,[0_1|2]), (222,223,[4_1|2]), (223,224,[3_1|2]), (224,225,[4_1|2]), (225,153,[3_1|2]), (225,181,[3_1|2]), (225,217,[3_1|2]), (225,253,[3_1|2]), (225,280,[3_1|2]), (225,289,[3_1|2]), (225,298,[3_1|2]), (225,316,[3_1|2]), (225,397,[3_1|2]), (225,325,[3_1|2]), (225,334,[3_1|2]), (225,343,[3_1|2]), (225,352,[3_1|2]), (226,227,[4_1|2]), (227,228,[2_1|2]), (228,229,[0_1|2]), (229,230,[2_1|2]), (230,231,[4_1|2]), (231,232,[3_1|2]), (232,233,[0_1|2]), (233,234,[1_1|2]), (233,208,[4_1|2]), (234,153,[5_1|2]), (234,370,[5_1|2]), (234,379,[5_1|2]), (234,388,[5_1|2]), (234,406,[5_1|2]), (234,442,[5_1|2]), (234,407,[5_1|2]), (234,361,[3_1|2]), (235,236,[0_1|2]), (236,237,[1_1|2]), (237,238,[5_1|2]), (238,239,[1_1|2]), (239,240,[5_1|2]), (240,241,[0_1|2]), (241,242,[2_1|2]), (242,243,[0_1|2]), (242,253,[0_1|2]), (242,262,[4_1|2]), (242,271,[2_1|2]), (243,153,[5_1|2]), (243,370,[5_1|2]), (243,379,[5_1|2]), (243,388,[5_1|2]), (243,406,[5_1|2]), (243,442,[5_1|2]), (243,281,[5_1|2]), (243,361,[3_1|2]), (244,245,[0_1|2]), (245,246,[0_1|2]), (246,247,[0_1|2]), (247,248,[5_1|2]), (248,249,[5_1|2]), (249,250,[2_1|2]), (250,251,[0_1|2]), (251,252,[4_1|2]), (252,153,[4_1|2]), (252,199,[4_1|2]), (252,208,[4_1|2]), (252,262,[4_1|2]), (252,307,[4_1|2]), (252,415,[4_1|2]), (252,424,[4_1|2]), (252,433,[4_1|2]), (252,442,[5_1|2]), (253,254,[2_1|2]), (254,255,[5_1|2]), (255,256,[3_1|2]), (256,257,[4_1|2]), (257,258,[3_1|2]), (258,259,[1_1|2]), (259,260,[0_1|2]), (260,261,[1_1|2]), (261,153,[3_1|2]), (261,325,[3_1|2]), (261,334,[3_1|2]), (261,343,[3_1|2]), (261,352,[3_1|2]), (261,361,[3_1|2]), (262,263,[2_1|2]), (263,264,[0_1|2]), (264,265,[0_1|2]), (265,266,[2_1|2]), (266,267,[5_1|2]), (267,268,[1_1|2]), (268,269,[3_1|2]), (269,270,[4_1|2]), (269,442,[5_1|2]), (270,153,[1_1|2]), (270,370,[1_1|2]), (270,379,[1_1|2]), (270,388,[1_1|2]), (270,406,[1_1|2]), (270,442,[1_1|2]), (270,154,[2_1|2]), (270,163,[2_1|2]), (270,172,[1_1|2]), (270,181,[0_1|2]), (270,190,[1_1|2]), (270,199,[4_1|2]), (270,208,[4_1|2]), (270,217,[0_1|2]), (271,272,[2_1|2]), (272,273,[3_1|2]), (273,274,[3_1|2]), (274,275,[1_1|2]), (275,276,[4_1|2]), (276,277,[2_1|2]), (277,278,[2_1|2]), (278,279,[0_1|2]), (279,153,[2_1|2]), (279,181,[2_1|2]), (279,217,[2_1|2]), (279,253,[2_1|2]), (279,280,[2_1|2]), (279,289,[2_1|2]), (279,298,[2_1|2]), (279,316,[2_1|2]), (279,397,[2_1|2, 0_1|2]), (279,236,[2_1|2]), (279,245,[2_1|2]), (279,406,[5_1|2]), (279,415,[4_1|2]), (279,424,[4_1|2]), (279,433,[4_1|2]), (280,281,[5_1|2]), (281,282,[5_1|2]), (282,283,[3_1|2]), (283,284,[5_1|2]), (284,285,[3_1|2]), (285,286,[0_1|2]), (286,287,[5_1|2]), (287,288,[2_1|2]), (287,424,[4_1|2]), (288,153,[5_1|2]), (288,370,[5_1|2]), (288,379,[5_1|2]), (288,388,[5_1|2]), (288,406,[5_1|2]), (288,442,[5_1|2]), (288,281,[5_1|2]), (288,361,[3_1|2]), (289,290,[1_1|2]), (290,291,[2_1|2]), (291,292,[4_1|2]), (292,293,[3_1|2]), (293,294,[5_1|2]), (294,295,[0_1|2]), (295,296,[1_1|2]), (296,297,[3_1|2]), (297,153,[3_1|2]), (297,172,[3_1|2]), (297,190,[3_1|2]), (297,325,[3_1|2]), (297,334,[3_1|2]), (297,343,[3_1|2]), (297,352,[3_1|2]), (298,299,[1_1|2]), (299,300,[2_1|2]), (300,301,[3_1|2]), (301,302,[5_1|2]), (302,303,[3_1|2]), (303,304,[0_1|2]), (304,305,[0_1|2]), (304,226,[2_1|2]), (304,235,[2_1|2]), (304,451,[2_1|3]), (305,306,[4_1|2]), (305,442,[5_1|2]), (306,153,[1_1|2]), (306,370,[1_1|2]), (306,379,[1_1|2]), (306,388,[1_1|2]), (306,406,[1_1|2]), (306,442,[1_1|2]), (306,281,[1_1|2]), (306,154,[2_1|2]), (306,163,[2_1|2]), (306,172,[1_1|2]), (306,181,[0_1|2]), (306,190,[1_1|2]), (306,199,[4_1|2]), (306,208,[4_1|2]), (306,217,[0_1|2]), (307,308,[2_1|2]), (308,309,[2_1|2]), (309,310,[3_1|2]), (310,311,[3_1|2]), (311,312,[0_1|2]), (312,313,[4_1|2]), (313,314,[0_1|2]), (314,315,[0_1|2]), (314,316,[0_1|2]), (315,153,[3_1|2]), (315,172,[3_1|2]), (315,190,[3_1|2]), (315,290,[3_1|2]), (315,299,[3_1|2]), (315,325,[3_1|2]), (315,334,[3_1|2]), (315,343,[3_1|2]), (315,352,[3_1|2]), (316,317,[3_1|2]), (317,318,[5_1|2]), (318,319,[3_1|2]), (319,320,[5_1|2]), (320,321,[4_1|2]), (321,322,[4_1|2]), (322,323,[5_1|2]), (323,324,[4_1|2]), (324,153,[0_1|2]), (324,172,[0_1|2]), (324,190,[0_1|2]), (324,226,[2_1|2]), (324,235,[2_1|2]), (324,244,[2_1|2]), (324,253,[0_1|2]), (324,262,[4_1|2]), (324,271,[2_1|2]), (324,280,[0_1|2]), (324,289,[0_1|2]), (324,298,[0_1|2]), (324,307,[4_1|2]), (324,316,[0_1|2]), (325,326,[2_1|2]), (326,327,[2_1|2]), (327,328,[2_1|2]), (328,329,[4_1|2]), (329,330,[3_1|2]), (330,331,[3_1|2]), (331,332,[5_1|2]), (332,333,[2_1|2]), (333,153,[0_1|2]), (333,181,[0_1|2]), (333,217,[0_1|2]), (333,253,[0_1|2]), (333,280,[0_1|2]), (333,289,[0_1|2]), (333,298,[0_1|2]), (333,316,[0_1|2]), (333,397,[0_1|2]), (333,226,[2_1|2]), (333,235,[2_1|2]), (333,244,[2_1|2]), (333,262,[4_1|2]), (333,271,[2_1|2]), (333,307,[4_1|2]), (334,335,[5_1|2]), (335,336,[2_1|2]), (336,337,[2_1|2]), (337,338,[0_1|2]), (338,339,[5_1|2]), (339,340,[2_1|2]), (340,341,[4_1|2]), 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(364,365,[2_1|2]), (365,366,[0_1|2]), (366,367,[4_1|2]), (367,368,[3_1|2]), (368,369,[3_1|2]), (369,153,[0_1|2]), (369,325,[0_1|2]), (369,334,[0_1|2]), (369,343,[0_1|2]), (369,352,[0_1|2]), (369,361,[0_1|2]), (369,200,[0_1|2]), (369,209,[0_1|2]), (369,226,[2_1|2]), (369,235,[2_1|2]), (369,244,[2_1|2]), (369,253,[0_1|2]), (369,262,[4_1|2]), (369,271,[2_1|2]), (369,280,[0_1|2]), (369,289,[0_1|2]), (369,298,[0_1|2]), (369,307,[4_1|2]), (369,316,[0_1|2]), (370,371,[2_1|2]), (371,372,[2_1|2]), (372,373,[0_1|2]), (373,374,[3_1|2]), (374,375,[3_1|2]), (375,376,[1_1|2]), (376,377,[5_1|2]), (377,378,[0_1|2]), (377,280,[0_1|2]), (377,289,[0_1|2]), (377,298,[0_1|2]), (378,153,[0_1|2]), (378,154,[0_1|2]), (378,163,[0_1|2]), (378,226,[0_1|2, 2_1|2]), (378,235,[0_1|2, 2_1|2]), (378,244,[0_1|2, 2_1|2]), (378,271,[0_1|2, 2_1|2]), (378,371,[0_1|2]), (378,380,[0_1|2]), (378,253,[0_1|2]), (378,262,[4_1|2]), (378,280,[0_1|2]), (378,289,[0_1|2]), (378,298,[0_1|2]), (378,307,[4_1|2]), (378,316,[0_1|2]), (379,380,[2_1|2]), (380,381,[2_1|2]), (381,382,[2_1|2]), (382,383,[2_1|2]), (383,384,[2_1|2]), (384,385,[4_1|2]), (385,386,[4_1|2]), (386,387,[3_1|2]), (387,153,[2_1|2]), (387,325,[2_1|2]), (387,334,[2_1|2]), (387,343,[2_1|2]), (387,352,[2_1|2]), (387,361,[2_1|2]), (387,317,[2_1|2]), (387,397,[0_1|2]), (387,406,[5_1|2]), (387,415,[4_1|2]), (387,424,[4_1|2]), (387,433,[4_1|2]), (388,389,[0_1|2]), (389,390,[1_1|2]), (390,391,[2_1|2]), (391,392,[0_1|2]), (392,393,[2_1|2]), (393,394,[2_1|2]), (394,395,[3_1|2]), (395,396,[0_1|2]), (396,153,[2_1|2]), (396,181,[2_1|2]), (396,217,[2_1|2]), (396,253,[2_1|2]), (396,280,[2_1|2]), (396,289,[2_1|2]), (396,298,[2_1|2]), (396,316,[2_1|2]), (396,397,[2_1|2, 0_1|2]), (396,406,[5_1|2]), (396,415,[4_1|2]), (396,424,[4_1|2]), (396,433,[4_1|2]), (397,398,[2_1|2]), (398,399,[3_1|2]), (399,400,[3_1|2]), (400,401,[3_1|2]), (401,402,[3_1|2]), (402,403,[5_1|2]), (403,404,[0_1|2]), (404,405,[2_1|2]), (404,424,[4_1|2]), (405,153,[5_1|2]), (405,199,[5_1|2]), (405,208,[5_1|2]), (405,262,[5_1|2]), (405,307,[5_1|2]), (405,415,[5_1|2]), (405,424,[5_1|2]), (405,433,[5_1|2]), (405,182,[5_1|2]), (405,361,[3_1|2]), (405,370,[5_1|2]), (405,379,[5_1|2]), (405,388,[5_1|2]), (406,407,[5_1|2]), (407,408,[3_1|2]), (408,409,[4_1|2]), (409,410,[3_1|2]), (410,411,[2_1|2]), (411,412,[1_1|2]), (412,413,[4_1|2]), (413,414,[4_1|2]), (414,153,[4_1|2]), (414,199,[4_1|2]), (414,208,[4_1|2]), (414,262,[4_1|2]), (414,307,[4_1|2]), (414,415,[4_1|2]), (414,424,[4_1|2]), (414,433,[4_1|2]), (414,442,[5_1|2]), (415,416,[4_1|2]), (416,417,[3_1|2]), (417,418,[5_1|2]), (418,419,[4_1|2]), (419,420,[0_1|2]), (420,421,[2_1|2]), (421,422,[2_1|2]), (422,423,[4_1|2]), (423,153,[4_1|2]), (423,172,[4_1|2]), (423,190,[4_1|2]), (423,442,[5_1|2]), (424,425,[2_1|2]), (425,426,[5_1|2]), (426,427,[3_1|2]), (427,428,[5_1|2]), (428,429,[5_1|2]), (429,430,[2_1|2]), (430,431,[2_1|2]), (431,432,[3_1|2]), (432,153,[0_1|2]), (432,181,[0_1|2]), (432,217,[0_1|2]), (432,253,[0_1|2]), (432,280,[0_1|2]), (432,289,[0_1|2]), (432,298,[0_1|2]), (432,316,[0_1|2]), (432,397,[0_1|2]), (432,226,[2_1|2]), (432,235,[2_1|2]), (432,244,[2_1|2]), (432,262,[4_1|2]), (432,271,[2_1|2]), (432,307,[4_1|2]), (433,434,[2_1|2]), (434,435,[4_1|2]), (435,436,[3_1|2]), (436,437,[4_1|2]), (437,438,[3_1|2]), (438,439,[5_1|2]), (439,440,[4_1|2]), (440,441,[5_1|2]), (440,388,[5_1|2]), (441,153,[4_1|2]), (441,199,[4_1|2]), (441,208,[4_1|2]), (441,262,[4_1|2]), (441,307,[4_1|2]), (441,415,[4_1|2]), (441,424,[4_1|2]), (441,433,[4_1|2]), (441,442,[5_1|2]), (442,443,[0_1|2]), (443,444,[1_1|2]), (444,445,[2_1|2]), (445,446,[3_1|2]), (446,447,[1_1|2]), (447,448,[2_1|2]), (448,449,[3_1|2]), (449,450,[5_1|2]), (450,153,[2_1|2]), (450,181,[2_1|2]), (450,217,[2_1|2]), (450,253,[2_1|2]), (450,280,[2_1|2]), (450,289,[2_1|2]), (450,298,[2_1|2]), (450,316,[2_1|2]), (450,397,[2_1|2, 0_1|2]), (450,406,[5_1|2]), (450,415,[4_1|2]), (450,424,[4_1|2]), (450,433,[4_1|2]), (451,452,[4_1|3]), (452,453,[2_1|3]), (453,454,[0_1|3]), (454,455,[2_1|3]), (455,456,[4_1|3]), (456,457,[3_1|3]), (457,458,[0_1|3]), (458,459,[1_1|3]), (459,407,[5_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)