/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 191 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 111 ms] (8) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) 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)))) -> 0(2(2(3(x1)))) 1(1(4(4(5(x1))))) -> 5(1(0(0(5(x1))))) 2(3(3(2(5(x1))))) -> 3(5(4(5(5(x1))))) 5(1(1(5(3(x1))))) -> 5(1(4(5(3(x1))))) 0(2(5(1(1(4(x1)))))) -> 0(3(2(2(4(5(x1)))))) 1(2(1(4(0(3(x1)))))) -> 4(2(5(4(5(3(x1)))))) 1(5(2(0(4(3(x1)))))) -> 5(0(1(1(1(x1))))) 2(2(1(5(4(0(x1)))))) -> 2(3(5(4(0(3(x1)))))) 4(0(2(3(1(4(4(x1))))))) -> 4(1(3(0(5(0(5(x1))))))) 4(3(5(4(3(2(2(2(x1)))))))) -> 4(1(2(3(4(1(4(x1))))))) 0(2(2(2(3(4(3(3(3(x1))))))))) -> 0(5(4(0(5(3(5(5(3(x1))))))))) 4(5(3(4(1(1(0(5(2(x1))))))))) -> 4(4(3(1(3(2(0(5(2(x1))))))))) 3(3(4(1(0(4(5(1(5(2(x1)))))))))) -> 3(3(4(1(5(0(3(0(2(4(x1)))))))))) 2(4(5(4(0(5(5(1(2(1(4(2(x1)))))))))))) -> 4(1(0(1(1(3(3(0(1(4(2(x1))))))))))) 1(0(0(4(5(4(3(4(5(1(5(4(0(x1))))))))))))) -> 5(3(3(1(2(1(1(0(3(1(3(x1))))))))))) 1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> 4(4(4(3(2(0(1(3(1(2(2(4(5(x1))))))))))))) 4(1(5(4(5(3(3(3(1(2(0(2(0(x1))))))))))))) -> 4(1(4(3(4(4(0(1(3(1(1(5(x1)))))))))))) 2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> 5(5(5(2(0(2(5(0(0(4(3(2(1(4(3(3(1(x1))))))))))))))))) 1(5(1(1(3(0(3(3(3(3(1(1(5(1(5(2(5(2(x1)))))))))))))))))) -> 3(5(4(2(0(5(1(3(4(1(1(2(5(2(4(1(5(2(x1)))))))))))))))))) 2(4(3(3(4(2(3(5(4(0(4(0(2(3(0(3(3(0(x1)))))))))))))))))) -> 2(1(3(0(4(4(1(5(2(1(0(3(0(5(0(1(5(x1))))))))))))))))) 2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> 2(1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))))))) 2(3(5(1(3(0(0(5(0(2(2(4(5(4(0(3(1(4(2(x1))))))))))))))))))) -> 5(2(0(2(0(3(2(3(5(2(2(4(1(3(5(5(1(2(x1)))))))))))))))))) 3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> 3(2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))))) 3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> 3(1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))))) 4(5(1(4(5(3(1(5(5(3(5(0(2(1(2(4(4(5(1(0(4(x1))))))))))))))))))))) -> 4(4(0(2(1(5(2(0(4(5(2(2(3(5(5(2(2(0(3(5(4(x1))))))))))))))))))))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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 (full) 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)))) -> 0(2(2(3(x1)))) 1(1(4(4(5(x1))))) -> 5(1(0(0(5(x1))))) 2(3(3(2(5(x1))))) -> 3(5(4(5(5(x1))))) 5(1(1(5(3(x1))))) -> 5(1(4(5(3(x1))))) 0(2(5(1(1(4(x1)))))) -> 0(3(2(2(4(5(x1)))))) 1(2(1(4(0(3(x1)))))) -> 4(2(5(4(5(3(x1)))))) 1(5(2(0(4(3(x1)))))) -> 5(0(1(1(1(x1))))) 2(2(1(5(4(0(x1)))))) -> 2(3(5(4(0(3(x1)))))) 4(0(2(3(1(4(4(x1))))))) -> 4(1(3(0(5(0(5(x1))))))) 4(3(5(4(3(2(2(2(x1)))))))) -> 4(1(2(3(4(1(4(x1))))))) 0(2(2(2(3(4(3(3(3(x1))))))))) -> 0(5(4(0(5(3(5(5(3(x1))))))))) 4(5(3(4(1(1(0(5(2(x1))))))))) -> 4(4(3(1(3(2(0(5(2(x1))))))))) 3(3(4(1(0(4(5(1(5(2(x1)))))))))) -> 3(3(4(1(5(0(3(0(2(4(x1)))))))))) 2(4(5(4(0(5(5(1(2(1(4(2(x1)))))))))))) -> 4(1(0(1(1(3(3(0(1(4(2(x1))))))))))) 1(0(0(4(5(4(3(4(5(1(5(4(0(x1))))))))))))) -> 5(3(3(1(2(1(1(0(3(1(3(x1))))))))))) 1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> 4(4(4(3(2(0(1(3(1(2(2(4(5(x1))))))))))))) 4(1(5(4(5(3(3(3(1(2(0(2(0(x1))))))))))))) -> 4(1(4(3(4(4(0(1(3(1(1(5(x1)))))))))))) 2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> 5(5(5(2(0(2(5(0(0(4(3(2(1(4(3(3(1(x1))))))))))))))))) 1(5(1(1(3(0(3(3(3(3(1(1(5(1(5(2(5(2(x1)))))))))))))))))) -> 3(5(4(2(0(5(1(3(4(1(1(2(5(2(4(1(5(2(x1)))))))))))))))))) 2(4(3(3(4(2(3(5(4(0(4(0(2(3(0(3(3(0(x1)))))))))))))))))) -> 2(1(3(0(4(4(1(5(2(1(0(3(0(5(0(1(5(x1))))))))))))))))) 2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> 2(1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))))))) 2(3(5(1(3(0(0(5(0(2(2(4(5(4(0(3(1(4(2(x1))))))))))))))))))) -> 5(2(0(2(0(3(2(3(5(2(2(4(1(3(5(5(1(2(x1)))))))))))))))))) 3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> 3(2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))))) 3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> 3(1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))))) 4(5(1(4(5(3(1(5(5(3(5(0(2(1(2(4(4(5(1(0(4(x1))))))))))))))))))))) -> 4(4(0(2(1(5(2(0(4(5(2(2(3(5(5(2(2(0(3(5(4(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: FULL ---------------------------------------- (3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (4) Obligation: The Runtime Complexity (full) 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)))) -> 0(2(2(3(x1)))) 1(1(4(4(5(x1))))) -> 5(1(0(0(5(x1))))) 2(3(3(2(5(x1))))) -> 3(5(4(5(5(x1))))) 5(1(1(5(3(x1))))) -> 5(1(4(5(3(x1))))) 0(2(5(1(1(4(x1)))))) -> 0(3(2(2(4(5(x1)))))) 1(2(1(4(0(3(x1)))))) -> 4(2(5(4(5(3(x1)))))) 1(5(2(0(4(3(x1)))))) -> 5(0(1(1(1(x1))))) 2(2(1(5(4(0(x1)))))) -> 2(3(5(4(0(3(x1)))))) 4(0(2(3(1(4(4(x1))))))) -> 4(1(3(0(5(0(5(x1))))))) 4(3(5(4(3(2(2(2(x1)))))))) -> 4(1(2(3(4(1(4(x1))))))) 0(2(2(2(3(4(3(3(3(x1))))))))) -> 0(5(4(0(5(3(5(5(3(x1))))))))) 4(5(3(4(1(1(0(5(2(x1))))))))) -> 4(4(3(1(3(2(0(5(2(x1))))))))) 3(3(4(1(0(4(5(1(5(2(x1)))))))))) -> 3(3(4(1(5(0(3(0(2(4(x1)))))))))) 2(4(5(4(0(5(5(1(2(1(4(2(x1)))))))))))) -> 4(1(0(1(1(3(3(0(1(4(2(x1))))))))))) 1(0(0(4(5(4(3(4(5(1(5(4(0(x1))))))))))))) -> 5(3(3(1(2(1(1(0(3(1(3(x1))))))))))) 1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> 4(4(4(3(2(0(1(3(1(2(2(4(5(x1))))))))))))) 4(1(5(4(5(3(3(3(1(2(0(2(0(x1))))))))))))) -> 4(1(4(3(4(4(0(1(3(1(1(5(x1)))))))))))) 2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> 5(5(5(2(0(2(5(0(0(4(3(2(1(4(3(3(1(x1))))))))))))))))) 1(5(1(1(3(0(3(3(3(3(1(1(5(1(5(2(5(2(x1)))))))))))))))))) -> 3(5(4(2(0(5(1(3(4(1(1(2(5(2(4(1(5(2(x1)))))))))))))))))) 2(4(3(3(4(2(3(5(4(0(4(0(2(3(0(3(3(0(x1)))))))))))))))))) -> 2(1(3(0(4(4(1(5(2(1(0(3(0(5(0(1(5(x1))))))))))))))))) 2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> 2(1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))))))) 2(3(5(1(3(0(0(5(0(2(2(4(5(4(0(3(1(4(2(x1))))))))))))))))))) -> 5(2(0(2(0(3(2(3(5(2(2(4(1(3(5(5(1(2(x1)))))))))))))))))) 3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> 3(2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))))) 3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> 3(1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))))) 4(5(1(4(5(3(1(5(5(3(5(0(2(1(2(4(4(5(1(0(4(x1))))))))))))))))))))) -> 4(4(0(2(1(5(2(0(4(5(2(2(3(5(5(2(2(0(3(5(4(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: FULL ---------------------------------------- (5) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (full) 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)))) -> 0(2(2(3(x1)))) 1(1(4(4(5(x1))))) -> 5(1(0(0(5(x1))))) 2(3(3(2(5(x1))))) -> 3(5(4(5(5(x1))))) 5(1(1(5(3(x1))))) -> 5(1(4(5(3(x1))))) 0(2(5(1(1(4(x1)))))) -> 0(3(2(2(4(5(x1)))))) 1(2(1(4(0(3(x1)))))) -> 4(2(5(4(5(3(x1)))))) 1(5(2(0(4(3(x1)))))) -> 5(0(1(1(1(x1))))) 2(2(1(5(4(0(x1)))))) -> 2(3(5(4(0(3(x1)))))) 4(0(2(3(1(4(4(x1))))))) -> 4(1(3(0(5(0(5(x1))))))) 4(3(5(4(3(2(2(2(x1)))))))) -> 4(1(2(3(4(1(4(x1))))))) 0(2(2(2(3(4(3(3(3(x1))))))))) -> 0(5(4(0(5(3(5(5(3(x1))))))))) 4(5(3(4(1(1(0(5(2(x1))))))))) -> 4(4(3(1(3(2(0(5(2(x1))))))))) 3(3(4(1(0(4(5(1(5(2(x1)))))))))) -> 3(3(4(1(5(0(3(0(2(4(x1)))))))))) 2(4(5(4(0(5(5(1(2(1(4(2(x1)))))))))))) -> 4(1(0(1(1(3(3(0(1(4(2(x1))))))))))) 1(0(0(4(5(4(3(4(5(1(5(4(0(x1))))))))))))) -> 5(3(3(1(2(1(1(0(3(1(3(x1))))))))))) 1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> 4(4(4(3(2(0(1(3(1(2(2(4(5(x1))))))))))))) 4(1(5(4(5(3(3(3(1(2(0(2(0(x1))))))))))))) -> 4(1(4(3(4(4(0(1(3(1(1(5(x1)))))))))))) 2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> 5(5(5(2(0(2(5(0(0(4(3(2(1(4(3(3(1(x1))))))))))))))))) 1(5(1(1(3(0(3(3(3(3(1(1(5(1(5(2(5(2(x1)))))))))))))))))) -> 3(5(4(2(0(5(1(3(4(1(1(2(5(2(4(1(5(2(x1)))))))))))))))))) 2(4(3(3(4(2(3(5(4(0(4(0(2(3(0(3(3(0(x1)))))))))))))))))) -> 2(1(3(0(4(4(1(5(2(1(0(3(0(5(0(1(5(x1))))))))))))))))) 2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> 2(1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))))))) 2(3(5(1(3(0(0(5(0(2(2(4(5(4(0(3(1(4(2(x1))))))))))))))))))) -> 5(2(0(2(0(3(2(3(5(2(2(4(1(3(5(5(1(2(x1)))))))))))))))))) 3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> 3(2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))))) 3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> 3(1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))))) 4(5(1(4(5(3(1(5(5(3(5(0(2(1(2(4(4(5(1(0(4(x1))))))))))))))))))))) -> 4(4(0(2(1(5(2(0(4(5(2(2(3(5(5(2(2(0(3(5(4(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_5(x_1)) -> 5(encArg(x_1)) encArg(cons_4(x_1)) -> 4(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: FULL ---------------------------------------- (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] {(151,152,[0_1|0, 1_1|0, 2_1|0, 5_1|0, 4_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]), (151,153,[0_1|1, 1_1|1, 2_1|1, 5_1|1, 4_1|1, 3_1|1]), (151,154,[0_1|2]), (151,157,[0_1|2]), (151,162,[0_1|2]), (151,170,[5_1|2]), (151,174,[4_1|2]), (151,179,[4_1|2]), (151,191,[5_1|2]), (151,195,[3_1|2]), (151,212,[5_1|2]), (151,222,[3_1|2]), (151,226,[5_1|2]), (151,243,[2_1|2]), (151,248,[5_1|2]), (151,264,[4_1|2]), (151,274,[2_1|2]), (151,290,[2_1|2]), (151,307,[5_1|2]), (151,311,[4_1|2]), (151,317,[4_1|2]), (151,323,[4_1|2]), (151,331,[4_1|2]), (151,351,[4_1|2]), (151,362,[3_1|2]), (151,371,[3_1|2]), (151,390,[3_1|2]), (152,152,[cons_0_1|0, cons_1_1|0, cons_2_1|0, cons_5_1|0, cons_4_1|0, cons_3_1|0]), (153,152,[encArg_1|1]), (153,153,[0_1|1, 1_1|1, 2_1|1, 5_1|1, 4_1|1, 3_1|1]), (153,154,[0_1|2]), (153,157,[0_1|2]), (153,162,[0_1|2]), (153,170,[5_1|2]), (153,174,[4_1|2]), (153,179,[4_1|2]), (153,191,[5_1|2]), (153,195,[3_1|2]), (153,212,[5_1|2]), (153,222,[3_1|2]), (153,226,[5_1|2]), (153,243,[2_1|2]), (153,248,[5_1|2]), (153,264,[4_1|2]), (153,274,[2_1|2]), (153,290,[2_1|2]), (153,307,[5_1|2]), (153,311,[4_1|2]), (153,317,[4_1|2]), (153,323,[4_1|2]), (153,331,[4_1|2]), (153,351,[4_1|2]), (153,362,[3_1|2]), (153,371,[3_1|2]), (153,390,[3_1|2]), (154,155,[2_1|2]), (154,248,[5_1|2]), (155,156,[2_1|2]), (155,222,[3_1|2]), (155,226,[5_1|2]), (156,153,[3_1|2]), (156,195,[3_1|2]), (156,222,[3_1|2]), (156,362,[3_1|2]), (156,371,[3_1|2]), (156,390,[3_1|2]), (156,244,[3_1|2]), (157,158,[3_1|2]), (158,159,[2_1|2]), (159,160,[2_1|2]), (159,264,[4_1|2]), (160,161,[4_1|2]), (160,323,[4_1|2]), (160,331,[4_1|2]), (161,153,[5_1|2]), (161,174,[5_1|2]), (161,179,[5_1|2]), (161,264,[5_1|2]), (161,311,[5_1|2]), (161,317,[5_1|2]), (161,323,[5_1|2]), (161,331,[5_1|2]), (161,351,[5_1|2]), (161,307,[5_1|2]), (162,163,[5_1|2]), (163,164,[4_1|2]), (164,165,[0_1|2]), (165,166,[5_1|2]), (166,167,[3_1|2]), (167,168,[5_1|2]), (168,169,[5_1|2]), (169,153,[3_1|2]), (169,195,[3_1|2]), (169,222,[3_1|2]), (169,362,[3_1|2]), (169,371,[3_1|2]), (169,390,[3_1|2]), (169,363,[3_1|2]), (170,171,[1_1|2]), (171,172,[0_1|2]), (172,173,[0_1|2]), (173,153,[5_1|2]), (173,170,[5_1|2]), (173,191,[5_1|2]), (173,212,[5_1|2]), (173,226,[5_1|2]), (173,248,[5_1|2]), (173,307,[5_1|2]), (174,175,[2_1|2]), (175,176,[5_1|2]), (176,177,[4_1|2]), (176,323,[4_1|2]), (177,178,[5_1|2]), (178,153,[3_1|2]), (178,195,[3_1|2]), (178,222,[3_1|2]), (178,362,[3_1|2]), (178,371,[3_1|2]), (178,390,[3_1|2]), (178,158,[3_1|2]), (179,180,[4_1|2]), (180,181,[4_1|2]), (181,182,[3_1|2]), (182,183,[2_1|2]), (183,184,[0_1|2]), (184,185,[1_1|2]), (185,186,[3_1|2]), (186,187,[1_1|2]), (187,188,[2_1|2]), (188,189,[2_1|2]), (188,264,[4_1|2]), (189,190,[4_1|2]), (189,323,[4_1|2]), (189,331,[4_1|2]), (190,153,[5_1|2]), (190,243,[5_1|2]), (190,274,[5_1|2]), (190,290,[5_1|2]), (190,372,[5_1|2]), (190,159,[5_1|2]), (190,307,[5_1|2]), (191,192,[0_1|2]), (192,193,[1_1|2]), (193,194,[1_1|2]), (193,170,[5_1|2]), (194,153,[1_1|2]), (194,195,[1_1|2, 3_1|2]), (194,222,[1_1|2]), (194,362,[1_1|2]), (194,371,[1_1|2]), (194,390,[1_1|2]), (194,170,[5_1|2]), (194,174,[4_1|2]), (194,179,[4_1|2]), (194,191,[5_1|2]), (194,212,[5_1|2]), (195,196,[5_1|2]), (196,197,[4_1|2]), (197,198,[2_1|2]), (198,199,[0_1|2]), (199,200,[5_1|2]), (200,201,[1_1|2]), (201,202,[3_1|2]), (202,203,[4_1|2]), (203,204,[1_1|2]), (204,205,[1_1|2]), (205,206,[2_1|2]), (206,207,[5_1|2]), (207,208,[2_1|2]), (208,209,[4_1|2]), (209,210,[1_1|2]), (209,191,[5_1|2]), (210,211,[5_1|2]), (211,153,[2_1|2]), (211,243,[2_1|2]), (211,274,[2_1|2]), (211,290,[2_1|2]), (211,227,[2_1|2]), (211,222,[3_1|2]), (211,226,[5_1|2]), (211,248,[5_1|2]), (211,264,[4_1|2]), (212,213,[3_1|2]), (213,214,[3_1|2]), (214,215,[1_1|2]), (215,216,[2_1|2]), (216,217,[1_1|2]), (217,218,[1_1|2]), (218,219,[0_1|2]), (219,220,[3_1|2]), (220,221,[1_1|2]), (221,153,[3_1|2]), (221,154,[3_1|2]), (221,157,[3_1|2]), (221,162,[3_1|2]), (221,362,[3_1|2]), (221,371,[3_1|2]), (221,390,[3_1|2]), (222,223,[5_1|2]), (223,224,[4_1|2]), (224,225,[5_1|2]), (225,153,[5_1|2]), (225,170,[5_1|2]), (225,191,[5_1|2]), (225,212,[5_1|2]), (225,226,[5_1|2]), (225,248,[5_1|2]), (225,307,[5_1|2]), (226,227,[2_1|2]), (227,228,[0_1|2]), (228,229,[2_1|2]), (229,230,[0_1|2]), (230,231,[3_1|2]), (231,232,[2_1|2]), (232,233,[3_1|2]), (233,234,[5_1|2]), (234,235,[2_1|2]), (235,236,[2_1|2]), (236,237,[4_1|2]), (237,238,[1_1|2]), (238,239,[3_1|2]), (239,240,[5_1|2]), (240,241,[5_1|2]), (241,242,[1_1|2]), (241,174,[4_1|2]), (241,179,[4_1|2]), (242,153,[2_1|2]), (242,243,[2_1|2]), (242,274,[2_1|2]), (242,290,[2_1|2]), (242,175,[2_1|2]), (242,222,[3_1|2]), (242,226,[5_1|2]), (242,248,[5_1|2]), (242,264,[4_1|2]), (243,244,[3_1|2]), (244,245,[5_1|2]), (245,246,[4_1|2]), (246,247,[0_1|2]), (247,153,[3_1|2]), (247,154,[3_1|2]), (247,157,[3_1|2]), (247,162,[3_1|2]), (247,362,[3_1|2]), (247,371,[3_1|2]), (247,390,[3_1|2]), (248,249,[5_1|2]), (249,250,[5_1|2]), (250,251,[2_1|2]), (251,252,[0_1|2]), (252,253,[2_1|2]), (253,254,[5_1|2]), (254,255,[0_1|2]), (255,256,[0_1|2]), (256,257,[4_1|2]), (257,258,[3_1|2]), (258,259,[2_1|2]), (259,260,[1_1|2]), (260,261,[4_1|2]), (261,262,[3_1|2]), (262,263,[3_1|2]), (263,153,[1_1|2]), (263,391,[1_1|2]), (263,170,[5_1|2]), (263,174,[4_1|2]), (263,179,[4_1|2]), (263,191,[5_1|2]), (263,195,[3_1|2]), (263,212,[5_1|2]), (264,265,[1_1|2]), (265,266,[0_1|2]), (266,267,[1_1|2]), (267,268,[1_1|2]), (268,269,[3_1|2]), (269,270,[3_1|2]), (270,271,[0_1|2]), (271,272,[1_1|2]), (272,273,[4_1|2]), (273,153,[2_1|2]), (273,243,[2_1|2]), (273,274,[2_1|2]), (273,290,[2_1|2]), (273,175,[2_1|2]), (273,222,[3_1|2]), (273,226,[5_1|2]), (273,248,[5_1|2]), (273,264,[4_1|2]), (274,275,[1_1|2]), (275,276,[3_1|2]), (276,277,[0_1|2]), (277,278,[4_1|2]), (278,279,[4_1|2]), (279,280,[1_1|2]), (280,281,[5_1|2]), (281,282,[2_1|2]), (282,283,[1_1|2]), (283,284,[0_1|2]), (284,285,[3_1|2]), (285,286,[0_1|2]), (286,287,[5_1|2]), (287,288,[0_1|2]), (288,289,[1_1|2]), (288,191,[5_1|2]), (288,195,[3_1|2]), (289,153,[5_1|2]), (289,154,[5_1|2]), (289,157,[5_1|2]), (289,162,[5_1|2]), (289,307,[5_1|2]), (290,291,[1_1|2]), (291,292,[5_1|2]), (292,293,[0_1|2]), (293,294,[0_1|2]), (294,295,[1_1|2]), (295,296,[5_1|2]), (296,297,[2_1|2]), (297,298,[2_1|2]), (298,299,[2_1|2]), (299,300,[3_1|2]), (300,301,[1_1|2]), (301,302,[0_1|2]), (302,303,[5_1|2]), (303,304,[0_1|2]), (304,305,[4_1|2]), (305,306,[3_1|2]), (305,362,[3_1|2]), (306,153,[3_1|2]), (306,243,[3_1|2]), (306,274,[3_1|2]), (306,290,[3_1|2]), (306,372,[3_1|2]), (306,362,[3_1|2]), (306,371,[3_1|2]), (306,390,[3_1|2]), (307,308,[1_1|2]), (308,309,[4_1|2]), (308,323,[4_1|2]), (309,310,[5_1|2]), (310,153,[3_1|2]), (310,195,[3_1|2]), (310,222,[3_1|2]), (310,362,[3_1|2]), (310,371,[3_1|2]), (310,390,[3_1|2]), (310,213,[3_1|2]), (311,312,[1_1|2]), (312,313,[3_1|2]), (313,314,[0_1|2]), (314,315,[5_1|2]), (315,316,[0_1|2]), (316,153,[5_1|2]), (316,174,[5_1|2]), (316,179,[5_1|2]), (316,264,[5_1|2]), (316,311,[5_1|2]), (316,317,[5_1|2]), (316,323,[5_1|2]), (316,331,[5_1|2]), (316,351,[5_1|2]), (316,180,[5_1|2]), (316,324,[5_1|2]), (316,332,[5_1|2]), (316,307,[5_1|2]), (317,318,[1_1|2]), (318,319,[2_1|2]), (319,320,[3_1|2]), (320,321,[4_1|2]), (321,322,[1_1|2]), (322,153,[4_1|2]), (322,243,[4_1|2]), (322,274,[4_1|2]), (322,290,[4_1|2]), (322,311,[4_1|2]), (322,317,[4_1|2]), (322,323,[4_1|2]), (322,331,[4_1|2]), (322,351,[4_1|2]), (323,324,[4_1|2]), (324,325,[3_1|2]), (325,326,[1_1|2]), (326,327,[3_1|2]), (327,328,[2_1|2]), (328,329,[0_1|2]), (329,330,[5_1|2]), (330,153,[2_1|2]), (330,243,[2_1|2]), (330,274,[2_1|2]), (330,290,[2_1|2]), (330,227,[2_1|2]), (330,222,[3_1|2]), (330,226,[5_1|2]), (330,248,[5_1|2]), (330,264,[4_1|2]), (331,332,[4_1|2]), (332,333,[0_1|2]), (333,334,[2_1|2]), (334,335,[1_1|2]), (335,336,[5_1|2]), (336,337,[2_1|2]), (337,338,[0_1|2]), (338,339,[4_1|2]), (339,340,[5_1|2]), (340,341,[2_1|2]), (341,342,[2_1|2]), (342,343,[3_1|2]), (343,344,[5_1|2]), (344,345,[5_1|2]), (345,346,[2_1|2]), (346,347,[2_1|2]), (347,348,[0_1|2]), (348,349,[3_1|2]), (349,350,[5_1|2]), (350,153,[4_1|2]), (350,174,[4_1|2]), (350,179,[4_1|2]), (350,264,[4_1|2]), (350,311,[4_1|2]), (350,317,[4_1|2]), (350,323,[4_1|2]), (350,331,[4_1|2]), (350,351,[4_1|2]), (351,352,[1_1|2]), (352,353,[4_1|2]), (353,354,[3_1|2]), (354,355,[4_1|2]), (355,356,[4_1|2]), (356,357,[0_1|2]), (357,358,[1_1|2]), (358,359,[3_1|2]), (359,360,[1_1|2]), (360,361,[1_1|2]), (360,191,[5_1|2]), (360,195,[3_1|2]), (361,153,[5_1|2]), (361,154,[5_1|2]), (361,157,[5_1|2]), (361,162,[5_1|2]), (361,307,[5_1|2]), (362,363,[3_1|2]), (363,364,[4_1|2]), (364,365,[1_1|2]), (365,366,[5_1|2]), (366,367,[0_1|2]), (367,368,[3_1|2]), (368,369,[0_1|2]), (369,370,[2_1|2]), (369,264,[4_1|2]), (369,274,[2_1|2]), (370,153,[4_1|2]), (370,243,[4_1|2]), (370,274,[4_1|2]), (370,290,[4_1|2]), (370,227,[4_1|2]), (370,311,[4_1|2]), (370,317,[4_1|2]), (370,323,[4_1|2]), (370,331,[4_1|2]), (370,351,[4_1|2]), (371,372,[2_1|2]), (372,373,[0_1|2]), (373,374,[1_1|2]), (374,375,[5_1|2]), (375,376,[0_1|2]), (376,377,[1_1|2]), (377,378,[5_1|2]), (378,379,[5_1|2]), (379,380,[1_1|2]), (380,381,[2_1|2]), (381,382,[3_1|2]), (382,383,[0_1|2]), (383,384,[2_1|2]), (384,385,[4_1|2]), (385,386,[2_1|2]), (386,387,[5_1|2]), (387,388,[2_1|2]), (388,389,[2_1|2]), (388,264,[4_1|2]), (388,274,[2_1|2]), (389,153,[4_1|2]), (389,174,[4_1|2]), (389,179,[4_1|2]), (389,264,[4_1|2]), (389,311,[4_1|2]), (389,317,[4_1|2]), (389,323,[4_1|2]), (389,331,[4_1|2]), (389,351,[4_1|2]), (390,391,[1_1|2]), (391,392,[3_1|2]), (392,393,[3_1|2]), (393,394,[0_1|2]), (394,395,[5_1|2]), (395,396,[4_1|2]), (396,397,[2_1|2]), (397,398,[4_1|2]), (398,399,[1_1|2]), (399,400,[2_1|2]), (400,401,[3_1|2]), (401,402,[5_1|2]), (402,403,[0_1|2]), (403,404,[3_1|2]), (404,405,[4_1|2]), (405,406,[5_1|2]), (406,407,[2_1|2]), (406,274,[2_1|2]), (407,408,[4_1|2]), (407,317,[4_1|2]), (408,153,[3_1|2]), (408,195,[3_1|2]), (408,222,[3_1|2]), (408,362,[3_1|2]), (408,371,[3_1|2]), (408,390,[3_1|2]), (408,244,[3_1|2])}" ---------------------------------------- (8) BOUNDS(1, n^1)