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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^1).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), 56 ms] (4) CpxRelTRS (5) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxTRS (7) CpxTrsMatchBoundsProof [FINISHED, 43 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(x1))) -> 0(2(1(1(x1)))) 2(3(1(x1))) -> 3(4(2(1(x1)))) 0(1(2(0(x1)))) -> 0(0(2(1(1(x1))))) 0(1(2(0(x1)))) -> 0(2(1(1(0(x1))))) 0(1(2(1(x1)))) -> 0(2(1(1(1(x1))))) 0(1(2(4(x1)))) -> 4(0(2(1(1(x1))))) 0(1(2(5(x1)))) -> 0(2(5(1(1(x1))))) 0(1(2(5(x1)))) -> 0(4(2(1(5(x1))))) 0(1(3(1(x1)))) -> 0(0(3(1(1(x1))))) 0(1(3(1(x1)))) -> 3(0(2(1(1(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(1(1(1(x1))))) 0(1(4(5(x1)))) -> 0(4(1(1(5(x1))))) 0(2(0(1(x1)))) -> 0(0(2(4(1(x1))))) 0(5(3(1(x1)))) -> 5(0(3(1(1(1(x1)))))) 0(5(3(2(x1)))) -> 0(3(4(2(5(x1))))) 2(3(2(0(x1)))) -> 2(2(1(3(0(x1))))) 2(4(5(2(x1)))) -> 2(1(4(2(5(x1))))) 3(0(1(2(x1)))) -> 3(4(0(2(1(x1))))) 4(4(3(2(x1)))) -> 4(3(4(2(1(x1))))) 4(5(3(1(x1)))) -> 3(5(4(4(1(x1))))) 4(5(3(1(x1)))) -> 4(3(1(5(1(x1))))) 4(5(3(2(x1)))) -> 3(4(2(5(4(x1))))) 4(5(3(2(x1)))) -> 3(5(4(2(1(x1))))) 0(1(0(2(2(x1))))) -> 0(0(2(1(4(2(x1)))))) 0(1(0(3(1(x1))))) -> 0(3(4(0(1(1(x1)))))) 0(1(4(5(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 0(1(5(0(1(x1))))) -> 0(0(1(5(5(1(x1)))))) 0(2(3(1(3(x1))))) -> 0(3(4(2(1(3(x1)))))) 0(4(1(5(2(x1))))) -> 0(4(2(5(1(1(x1)))))) 0(5(1(3(2(x1))))) -> 3(0(2(1(1(5(x1)))))) 0(5(2(0(4(x1))))) -> 0(4(2(5(0(4(x1)))))) 0(5(3(1(5(x1))))) -> 5(0(3(4(1(5(x1)))))) 0(5(3(2(5(x1))))) -> 0(4(3(5(2(5(x1)))))) 2(0(1(3(1(x1))))) -> 1(1(4(3(0(2(x1)))))) 2(0(1(3(5(x1))))) -> 2(5(1(1(0(3(x1)))))) 2(0(1(5(3(x1))))) -> 2(1(1(3(0(5(x1)))))) 2(3(1(0(1(x1))))) -> 0(3(2(1(1(5(x1)))))) 2(3(1(4(1(x1))))) -> 3(4(2(5(1(1(x1)))))) 2(3(5(1(2(x1))))) -> 2(3(2(1(5(1(x1)))))) 3(0(1(2(0(x1))))) -> 3(4(0(2(1(0(x1)))))) 3(2(0(1(0(x1))))) -> 3(2(1(5(0(0(x1)))))) 3(2(3(5(1(x1))))) -> 3(3(4(2(1(5(x1)))))) 3(5(3(1(3(x1))))) -> 3(5(4(3(1(3(x1)))))) 4(0(3(3(1(x1))))) -> 0(3(4(3(1(1(x1)))))) 4(4(3(2(5(x1))))) -> 3(4(2(4(1(5(x1)))))) 4(5(0(5(2(x1))))) -> 0(4(2(1(5(5(x1)))))) 4(5(2(3(1(x1))))) -> 5(3(4(3(2(1(x1)))))) 4(5(2(5(2(x1))))) -> 4(2(5(5(2(1(x1)))))) 4(5(3(5(1(x1))))) -> 4(5(5(4(3(1(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(1(x_1)) -> 1(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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 (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(x1))) -> 0(2(1(1(x1)))) 2(3(1(x1))) -> 3(4(2(1(x1)))) 0(1(2(0(x1)))) -> 0(0(2(1(1(x1))))) 0(1(2(0(x1)))) -> 0(2(1(1(0(x1))))) 0(1(2(1(x1)))) -> 0(2(1(1(1(x1))))) 0(1(2(4(x1)))) -> 4(0(2(1(1(x1))))) 0(1(2(5(x1)))) -> 0(2(5(1(1(x1))))) 0(1(2(5(x1)))) -> 0(4(2(1(5(x1))))) 0(1(3(1(x1)))) -> 0(0(3(1(1(x1))))) 0(1(3(1(x1)))) -> 3(0(2(1(1(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(1(1(1(x1))))) 0(1(4(5(x1)))) -> 0(4(1(1(5(x1))))) 0(2(0(1(x1)))) -> 0(0(2(4(1(x1))))) 0(5(3(1(x1)))) -> 5(0(3(1(1(1(x1)))))) 0(5(3(2(x1)))) -> 0(3(4(2(5(x1))))) 2(3(2(0(x1)))) -> 2(2(1(3(0(x1))))) 2(4(5(2(x1)))) -> 2(1(4(2(5(x1))))) 3(0(1(2(x1)))) -> 3(4(0(2(1(x1))))) 4(4(3(2(x1)))) -> 4(3(4(2(1(x1))))) 4(5(3(1(x1)))) -> 3(5(4(4(1(x1))))) 4(5(3(1(x1)))) -> 4(3(1(5(1(x1))))) 4(5(3(2(x1)))) -> 3(4(2(5(4(x1))))) 4(5(3(2(x1)))) -> 3(5(4(2(1(x1))))) 0(1(0(2(2(x1))))) -> 0(0(2(1(4(2(x1)))))) 0(1(0(3(1(x1))))) -> 0(3(4(0(1(1(x1)))))) 0(1(4(5(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 0(1(5(0(1(x1))))) -> 0(0(1(5(5(1(x1)))))) 0(2(3(1(3(x1))))) -> 0(3(4(2(1(3(x1)))))) 0(4(1(5(2(x1))))) -> 0(4(2(5(1(1(x1)))))) 0(5(1(3(2(x1))))) -> 3(0(2(1(1(5(x1)))))) 0(5(2(0(4(x1))))) -> 0(4(2(5(0(4(x1)))))) 0(5(3(1(5(x1))))) -> 5(0(3(4(1(5(x1)))))) 0(5(3(2(5(x1))))) -> 0(4(3(5(2(5(x1)))))) 2(0(1(3(1(x1))))) -> 1(1(4(3(0(2(x1)))))) 2(0(1(3(5(x1))))) -> 2(5(1(1(0(3(x1)))))) 2(0(1(5(3(x1))))) -> 2(1(1(3(0(5(x1)))))) 2(3(1(0(1(x1))))) -> 0(3(2(1(1(5(x1)))))) 2(3(1(4(1(x1))))) -> 3(4(2(5(1(1(x1)))))) 2(3(5(1(2(x1))))) -> 2(3(2(1(5(1(x1)))))) 3(0(1(2(0(x1))))) -> 3(4(0(2(1(0(x1)))))) 3(2(0(1(0(x1))))) -> 3(2(1(5(0(0(x1)))))) 3(2(3(5(1(x1))))) -> 3(3(4(2(1(5(x1)))))) 3(5(3(1(3(x1))))) -> 3(5(4(3(1(3(x1)))))) 4(0(3(3(1(x1))))) -> 0(3(4(3(1(1(x1)))))) 4(4(3(2(5(x1))))) -> 3(4(2(4(1(5(x1)))))) 4(5(0(5(2(x1))))) -> 0(4(2(1(5(5(x1)))))) 4(5(2(3(1(x1))))) -> 5(3(4(3(2(1(x1)))))) 4(5(2(5(2(x1))))) -> 4(2(5(5(2(1(x1)))))) 4(5(3(5(1(x1))))) -> 4(5(5(4(3(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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: 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(x1))) -> 0(2(1(1(x1)))) 2(3(1(x1))) -> 3(4(2(1(x1)))) 0(1(2(0(x1)))) -> 0(0(2(1(1(x1))))) 0(1(2(0(x1)))) -> 0(2(1(1(0(x1))))) 0(1(2(1(x1)))) -> 0(2(1(1(1(x1))))) 0(1(2(4(x1)))) -> 4(0(2(1(1(x1))))) 0(1(2(5(x1)))) -> 0(2(5(1(1(x1))))) 0(1(2(5(x1)))) -> 0(4(2(1(5(x1))))) 0(1(3(1(x1)))) -> 0(0(3(1(1(x1))))) 0(1(3(1(x1)))) -> 3(0(2(1(1(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(1(1(1(x1))))) 0(1(4(5(x1)))) -> 0(4(1(1(5(x1))))) 0(2(0(1(x1)))) -> 0(0(2(4(1(x1))))) 0(5(3(1(x1)))) -> 5(0(3(1(1(1(x1)))))) 0(5(3(2(x1)))) -> 0(3(4(2(5(x1))))) 2(3(2(0(x1)))) -> 2(2(1(3(0(x1))))) 2(4(5(2(x1)))) -> 2(1(4(2(5(x1))))) 3(0(1(2(x1)))) -> 3(4(0(2(1(x1))))) 4(4(3(2(x1)))) -> 4(3(4(2(1(x1))))) 4(5(3(1(x1)))) -> 3(5(4(4(1(x1))))) 4(5(3(1(x1)))) -> 4(3(1(5(1(x1))))) 4(5(3(2(x1)))) -> 3(4(2(5(4(x1))))) 4(5(3(2(x1)))) -> 3(5(4(2(1(x1))))) 0(1(0(2(2(x1))))) -> 0(0(2(1(4(2(x1)))))) 0(1(0(3(1(x1))))) -> 0(3(4(0(1(1(x1)))))) 0(1(4(5(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 0(1(5(0(1(x1))))) -> 0(0(1(5(5(1(x1)))))) 0(2(3(1(3(x1))))) -> 0(3(4(2(1(3(x1)))))) 0(4(1(5(2(x1))))) -> 0(4(2(5(1(1(x1)))))) 0(5(1(3(2(x1))))) -> 3(0(2(1(1(5(x1)))))) 0(5(2(0(4(x1))))) -> 0(4(2(5(0(4(x1)))))) 0(5(3(1(5(x1))))) -> 5(0(3(4(1(5(x1)))))) 0(5(3(2(5(x1))))) -> 0(4(3(5(2(5(x1)))))) 2(0(1(3(1(x1))))) -> 1(1(4(3(0(2(x1)))))) 2(0(1(3(5(x1))))) -> 2(5(1(1(0(3(x1)))))) 2(0(1(5(3(x1))))) -> 2(1(1(3(0(5(x1)))))) 2(3(1(0(1(x1))))) -> 0(3(2(1(1(5(x1)))))) 2(3(1(4(1(x1))))) -> 3(4(2(5(1(1(x1)))))) 2(3(5(1(2(x1))))) -> 2(3(2(1(5(1(x1)))))) 3(0(1(2(0(x1))))) -> 3(4(0(2(1(0(x1)))))) 3(2(0(1(0(x1))))) -> 3(2(1(5(0(0(x1)))))) 3(2(3(5(1(x1))))) -> 3(3(4(2(1(5(x1)))))) 3(5(3(1(3(x1))))) -> 3(5(4(3(1(3(x1)))))) 4(0(3(3(1(x1))))) -> 0(3(4(3(1(1(x1)))))) 4(4(3(2(5(x1))))) -> 3(4(2(4(1(5(x1)))))) 4(5(0(5(2(x1))))) -> 0(4(2(1(5(5(x1)))))) 4(5(2(3(1(x1))))) -> 5(3(4(3(2(1(x1)))))) 4(5(2(5(2(x1))))) -> 4(2(5(5(2(1(x1)))))) 4(5(3(5(1(x1))))) -> 4(5(5(4(3(1(x1)))))) The (relative) TRS S consists of the following rules: encArg(1(x_1)) -> 1(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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: 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(x1))) -> 0(2(1(1(x1)))) 2(3(1(x1))) -> 3(4(2(1(x1)))) 0(1(2(0(x1)))) -> 0(0(2(1(1(x1))))) 0(1(2(0(x1)))) -> 0(2(1(1(0(x1))))) 0(1(2(1(x1)))) -> 0(2(1(1(1(x1))))) 0(1(2(4(x1)))) -> 4(0(2(1(1(x1))))) 0(1(2(5(x1)))) -> 0(2(5(1(1(x1))))) 0(1(2(5(x1)))) -> 0(4(2(1(5(x1))))) 0(1(3(1(x1)))) -> 0(0(3(1(1(x1))))) 0(1(3(1(x1)))) -> 3(0(2(1(1(1(x1)))))) 0(1(4(1(x1)))) -> 4(0(1(1(1(x1))))) 0(1(4(5(x1)))) -> 0(4(1(1(5(x1))))) 0(2(0(1(x1)))) -> 0(0(2(4(1(x1))))) 0(5(3(1(x1)))) -> 5(0(3(1(1(1(x1)))))) 0(5(3(2(x1)))) -> 0(3(4(2(5(x1))))) 2(3(2(0(x1)))) -> 2(2(1(3(0(x1))))) 2(4(5(2(x1)))) -> 2(1(4(2(5(x1))))) 3(0(1(2(x1)))) -> 3(4(0(2(1(x1))))) 4(4(3(2(x1)))) -> 4(3(4(2(1(x1))))) 4(5(3(1(x1)))) -> 3(5(4(4(1(x1))))) 4(5(3(1(x1)))) -> 4(3(1(5(1(x1))))) 4(5(3(2(x1)))) -> 3(4(2(5(4(x1))))) 4(5(3(2(x1)))) -> 3(5(4(2(1(x1))))) 0(1(0(2(2(x1))))) -> 0(0(2(1(4(2(x1)))))) 0(1(0(3(1(x1))))) -> 0(3(4(0(1(1(x1)))))) 0(1(4(5(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 0(1(5(0(1(x1))))) -> 0(0(1(5(5(1(x1)))))) 0(2(3(1(3(x1))))) -> 0(3(4(2(1(3(x1)))))) 0(4(1(5(2(x1))))) -> 0(4(2(5(1(1(x1)))))) 0(5(1(3(2(x1))))) -> 3(0(2(1(1(5(x1)))))) 0(5(2(0(4(x1))))) -> 0(4(2(5(0(4(x1)))))) 0(5(3(1(5(x1))))) -> 5(0(3(4(1(5(x1)))))) 0(5(3(2(5(x1))))) -> 0(4(3(5(2(5(x1)))))) 2(0(1(3(1(x1))))) -> 1(1(4(3(0(2(x1)))))) 2(0(1(3(5(x1))))) -> 2(5(1(1(0(3(x1)))))) 2(0(1(5(3(x1))))) -> 2(1(1(3(0(5(x1)))))) 2(3(1(0(1(x1))))) -> 0(3(2(1(1(5(x1)))))) 2(3(1(4(1(x1))))) -> 3(4(2(5(1(1(x1)))))) 2(3(5(1(2(x1))))) -> 2(3(2(1(5(1(x1)))))) 3(0(1(2(0(x1))))) -> 3(4(0(2(1(0(x1)))))) 3(2(0(1(0(x1))))) -> 3(2(1(5(0(0(x1)))))) 3(2(3(5(1(x1))))) -> 3(3(4(2(1(5(x1)))))) 3(5(3(1(3(x1))))) -> 3(5(4(3(1(3(x1)))))) 4(0(3(3(1(x1))))) -> 0(3(4(3(1(1(x1)))))) 4(4(3(2(5(x1))))) -> 3(4(2(4(1(5(x1)))))) 4(5(0(5(2(x1))))) -> 0(4(2(1(5(5(x1)))))) 4(5(2(3(1(x1))))) -> 5(3(4(3(2(1(x1)))))) 4(5(2(5(2(x1))))) -> 4(2(5(5(2(1(x1)))))) 4(5(3(5(1(x1))))) -> 4(5(5(4(3(1(x1)))))) encArg(1(x_1)) -> 1(encArg(x_1)) encArg(5(x_1)) -> 5(encArg(x_1)) encArg(cons_0(x_1)) -> 0(encArg(x_1)) encArg(cons_2(x_1)) -> 2(encArg(x_1)) encArg(cons_3(x_1)) -> 3(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: 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 3. The certificate found is represented by the following graph. "[84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 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, 320, 321, 322, 323] {(84,85,[0_1|0, 2_1|0, 3_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]), (84,86,[1_1|1, 5_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1]), (84,87,[0_1|2]), (84,90,[0_1|2]), (84,94,[0_1|2]), (84,98,[0_1|2]), (84,102,[4_1|2]), (84,106,[0_1|2]), (84,110,[0_1|2]), (84,114,[0_1|2]), (84,118,[3_1|2]), (84,123,[4_1|2]), (84,127,[0_1|2]), (84,131,[4_1|2]), (84,136,[0_1|2]), (84,141,[0_1|2]), (84,146,[0_1|2]), (84,151,[0_1|2]), (84,155,[0_1|2]), (84,160,[5_1|2]), (84,165,[5_1|2]), (84,170,[0_1|2]), (84,174,[0_1|2]), (84,179,[3_1|2]), (84,184,[0_1|2]), (84,189,[0_1|2]), (84,194,[3_1|2]), (84,197,[0_1|2]), (84,202,[3_1|2]), (84,207,[2_1|2]), (84,211,[2_1|2]), (84,216,[2_1|2]), (84,220,[1_1|2]), (84,225,[2_1|2]), (84,230,[2_1|2]), (84,235,[3_1|2]), (84,239,[3_1|2]), (84,244,[3_1|2]), (84,249,[3_1|2]), (84,254,[3_1|2]), (84,259,[4_1|2]), (84,263,[3_1|2]), (84,268,[3_1|2]), (84,272,[4_1|2]), (84,276,[3_1|2]), (84,280,[3_1|2]), (84,284,[4_1|2]), (84,289,[0_1|2]), (84,294,[5_1|2]), (84,299,[4_1|2]), (84,304,[0_1|2]), (85,85,[1_1|0, 5_1|0, cons_0_1|0, cons_2_1|0, cons_3_1|0, cons_4_1|0]), (86,85,[encArg_1|1]), (86,86,[1_1|1, 5_1|1, 0_1|1, 2_1|1, 3_1|1, 4_1|1]), (86,87,[0_1|2]), (86,90,[0_1|2]), (86,94,[0_1|2]), (86,98,[0_1|2]), (86,102,[4_1|2]), (86,106,[0_1|2]), (86,110,[0_1|2]), (86,114,[0_1|2]), (86,118,[3_1|2]), (86,123,[4_1|2]), (86,127,[0_1|2]), (86,131,[4_1|2]), (86,136,[0_1|2]), (86,141,[0_1|2]), (86,146,[0_1|2]), (86,151,[0_1|2]), (86,155,[0_1|2]), (86,160,[5_1|2]), (86,165,[5_1|2]), (86,170,[0_1|2]), (86,174,[0_1|2]), (86,179,[3_1|2]), (86,184,[0_1|2]), (86,189,[0_1|2]), (86,194,[3_1|2]), (86,197,[0_1|2]), (86,202,[3_1|2]), (86,207,[2_1|2]), (86,211,[2_1|2]), (86,216,[2_1|2]), (86,220,[1_1|2]), (86,225,[2_1|2]), (86,230,[2_1|2]), (86,235,[3_1|2]), (86,239,[3_1|2]), (86,244,[3_1|2]), (86,249,[3_1|2]), (86,254,[3_1|2]), (86,259,[4_1|2]), (86,263,[3_1|2]), (86,268,[3_1|2]), (86,272,[4_1|2]), (86,276,[3_1|2]), (86,280,[3_1|2]), (86,284,[4_1|2]), (86,289,[0_1|2]), (86,294,[5_1|2]), (86,299,[4_1|2]), (86,304,[0_1|2]), (87,88,[2_1|2]), (88,89,[1_1|2]), (89,86,[1_1|2]), (89,207,[1_1|2]), (89,211,[1_1|2]), (89,216,[1_1|2]), (89,225,[1_1|2]), (89,230,[1_1|2]), (90,91,[0_1|2]), (91,92,[2_1|2]), (92,93,[1_1|2]), (93,86,[1_1|2]), (93,87,[1_1|2]), (93,90,[1_1|2]), (93,94,[1_1|2]), (93,98,[1_1|2]), (93,106,[1_1|2]), (93,110,[1_1|2]), (93,114,[1_1|2]), (93,127,[1_1|2]), (93,136,[1_1|2]), (93,141,[1_1|2]), (93,146,[1_1|2]), (93,151,[1_1|2]), (93,155,[1_1|2]), (93,170,[1_1|2]), (93,174,[1_1|2]), (93,184,[1_1|2]), (93,189,[1_1|2]), (93,197,[1_1|2]), (93,289,[1_1|2]), (93,304,[1_1|2]), (94,95,[2_1|2]), (95,96,[1_1|2]), (96,97,[1_1|2]), (97,86,[0_1|2]), (97,87,[0_1|2]), (97,90,[0_1|2]), (97,94,[0_1|2]), (97,98,[0_1|2]), (97,106,[0_1|2]), (97,110,[0_1|2]), (97,114,[0_1|2]), (97,127,[0_1|2]), (97,136,[0_1|2]), (97,141,[0_1|2]), (97,146,[0_1|2]), (97,151,[0_1|2]), (97,155,[0_1|2]), (97,170,[0_1|2]), (97,174,[0_1|2]), (97,184,[0_1|2]), (97,189,[0_1|2]), (97,197,[0_1|2]), (97,289,[0_1|2]), (97,304,[0_1|2]), (97,102,[4_1|2]), (97,118,[3_1|2]), (97,123,[4_1|2]), (97,131,[4_1|2]), (97,160,[5_1|2]), (97,165,[5_1|2]), (97,179,[3_1|2]), (98,99,[2_1|2]), (99,100,[1_1|2]), (100,101,[1_1|2]), (101,86,[1_1|2]), (101,220,[1_1|2]), (101,217,[1_1|2]), (101,231,[1_1|2]), (102,103,[0_1|2]), (103,104,[2_1|2]), (104,105,[1_1|2]), (105,86,[1_1|2]), (105,102,[1_1|2]), (105,123,[1_1|2]), (105,131,[1_1|2]), (105,259,[1_1|2]), (105,272,[1_1|2]), (105,284,[1_1|2]), (105,299,[1_1|2]), (106,107,[2_1|2]), (107,108,[5_1|2]), (108,109,[1_1|2]), (109,86,[1_1|2]), (109,160,[1_1|2]), (109,165,[1_1|2]), (109,294,[1_1|2]), (109,226,[1_1|2]), (110,111,[4_1|2]), (111,112,[2_1|2]), (112,113,[1_1|2]), (113,86,[5_1|2]), (113,160,[5_1|2]), (113,165,[5_1|2]), (113,294,[5_1|2]), (113,226,[5_1|2]), (114,115,[0_1|2]), (115,116,[3_1|2]), (116,117,[1_1|2]), (117,86,[1_1|2]), (117,220,[1_1|2]), (118,119,[0_1|2]), (119,120,[2_1|2]), (120,121,[1_1|2]), (121,122,[1_1|2]), (122,86,[1_1|2]), (122,220,[1_1|2]), (123,124,[0_1|2]), (124,125,[1_1|2]), (125,126,[1_1|2]), (126,86,[1_1|2]), (126,220,[1_1|2]), (127,128,[4_1|2]), (128,129,[1_1|2]), (129,130,[1_1|2]), (130,86,[5_1|2]), (130,160,[5_1|2]), (130,165,[5_1|2]), (130,294,[5_1|2]), (130,285,[5_1|2]), (131,132,[0_1|2]), (132,133,[2_1|2]), (133,134,[5_1|2]), (134,135,[1_1|2]), (135,86,[1_1|2]), (135,220,[1_1|2]), (136,137,[0_1|2]), (137,138,[2_1|2]), (138,139,[1_1|2]), (139,140,[4_1|2]), (140,86,[2_1|2]), (140,207,[2_1|2]), (140,211,[2_1|2]), (140,216,[2_1|2]), (140,225,[2_1|2]), (140,230,[2_1|2]), (140,208,[2_1|2]), (140,194,[3_1|2]), (140,197,[0_1|2]), (140,202,[3_1|2]), (140,220,[1_1|2]), (141,142,[3_1|2]), (142,143,[4_1|2]), (143,144,[0_1|2]), (144,145,[1_1|2]), (145,86,[1_1|2]), (145,220,[1_1|2]), (146,147,[0_1|2]), (147,148,[1_1|2]), (148,149,[5_1|2]), (149,150,[5_1|2]), (150,86,[1_1|2]), (150,220,[1_1|2]), (151,152,[0_1|2]), (152,153,[2_1|2]), (153,154,[4_1|2]), (154,86,[1_1|2]), (154,220,[1_1|2]), (155,156,[3_1|2]), (156,157,[4_1|2]), (157,158,[2_1|2]), (158,159,[1_1|2]), (159,86,[3_1|2]), (159,118,[3_1|2]), (159,179,[3_1|2]), (159,194,[3_1|2]), (159,202,[3_1|2]), (159,235,[3_1|2]), (159,239,[3_1|2]), (159,244,[3_1|2]), (159,249,[3_1|2]), (159,254,[3_1|2]), (159,263,[3_1|2]), (159,268,[3_1|2]), (159,276,[3_1|2]), (159,280,[3_1|2]), (160,161,[0_1|2]), (161,162,[3_1|2]), (162,163,[1_1|2]), (163,164,[1_1|2]), (164,86,[1_1|2]), (164,220,[1_1|2]), (165,166,[0_1|2]), (166,167,[3_1|2]), (167,168,[4_1|2]), (168,169,[1_1|2]), (169,86,[5_1|2]), (169,160,[5_1|2]), (169,165,[5_1|2]), (169,294,[5_1|2]), (170,171,[3_1|2]), (171,172,[4_1|2]), (172,173,[2_1|2]), (173,86,[5_1|2]), (173,207,[5_1|2]), (173,211,[5_1|2]), (173,216,[5_1|2]), (173,225,[5_1|2]), (173,230,[5_1|2]), (173,245,[5_1|2]), (174,175,[4_1|2]), (175,176,[3_1|2]), (176,177,[5_1|2]), (177,178,[2_1|2]), (178,86,[5_1|2]), (178,160,[5_1|2]), (178,165,[5_1|2]), (178,294,[5_1|2]), (178,226,[5_1|2]), (179,180,[0_1|2]), (180,181,[2_1|2]), (181,182,[1_1|2]), (182,183,[1_1|2]), (183,86,[5_1|2]), (183,207,[5_1|2]), (183,211,[5_1|2]), (183,216,[5_1|2]), (183,225,[5_1|2]), (183,230,[5_1|2]), (183,245,[5_1|2]), (184,185,[4_1|2]), (185,186,[2_1|2]), (186,187,[5_1|2]), (187,188,[0_1|2]), (187,189,[0_1|2]), (188,86,[4_1|2]), (188,102,[4_1|2]), (188,123,[4_1|2]), (188,131,[4_1|2]), (188,259,[4_1|2]), (188,272,[4_1|2]), (188,284,[4_1|2]), (188,299,[4_1|2]), (188,111,[4_1|2]), (188,128,[4_1|2]), (188,175,[4_1|2]), (188,185,[4_1|2]), (188,190,[4_1|2]), (188,290,[4_1|2]), (188,263,[3_1|2]), (188,268,[3_1|2]), (188,276,[3_1|2]), (188,280,[3_1|2]), (188,289,[0_1|2]), (188,294,[5_1|2]), (188,304,[0_1|2]), (189,190,[4_1|2]), (190,191,[2_1|2]), (191,192,[5_1|2]), (192,193,[1_1|2]), (193,86,[1_1|2]), (193,207,[1_1|2]), (193,211,[1_1|2]), (193,216,[1_1|2]), (193,225,[1_1|2]), (193,230,[1_1|2]), (194,195,[4_1|2]), (195,196,[2_1|2]), (196,86,[1_1|2]), (196,220,[1_1|2]), (197,198,[3_1|2]), (198,199,[2_1|2]), (199,200,[1_1|2]), (200,201,[1_1|2]), (201,86,[5_1|2]), (201,220,[5_1|2]), (202,203,[4_1|2]), (203,204,[2_1|2]), (204,205,[5_1|2]), (205,206,[1_1|2]), (206,86,[1_1|2]), (206,220,[1_1|2]), (207,208,[2_1|2]), (208,209,[1_1|2]), (209,210,[3_1|2]), (209,235,[3_1|2]), (209,239,[3_1|2]), (210,86,[0_1|2]), (210,87,[0_1|2]), (210,90,[0_1|2]), (210,94,[0_1|2]), (210,98,[0_1|2]), (210,106,[0_1|2]), (210,110,[0_1|2]), (210,114,[0_1|2]), (210,127,[0_1|2]), (210,136,[0_1|2]), (210,141,[0_1|2]), (210,146,[0_1|2]), (210,151,[0_1|2]), (210,155,[0_1|2]), (210,170,[0_1|2]), (210,174,[0_1|2]), (210,184,[0_1|2]), (210,189,[0_1|2]), (210,197,[0_1|2]), (210,289,[0_1|2]), (210,304,[0_1|2]), (210,102,[4_1|2]), (210,118,[3_1|2]), (210,123,[4_1|2]), (210,131,[4_1|2]), (210,160,[5_1|2]), (210,165,[5_1|2]), (210,179,[3_1|2]), (211,212,[3_1|2]), (212,213,[2_1|2]), (213,214,[1_1|2]), (214,215,[5_1|2]), (215,86,[1_1|2]), (215,207,[1_1|2]), (215,211,[1_1|2]), (215,216,[1_1|2]), (215,225,[1_1|2]), (215,230,[1_1|2]), (216,217,[1_1|2]), (217,218,[4_1|2]), (218,219,[2_1|2]), (219,86,[5_1|2]), (219,207,[5_1|2]), (219,211,[5_1|2]), (219,216,[5_1|2]), (219,225,[5_1|2]), (219,230,[5_1|2]), (220,221,[1_1|2]), (221,222,[4_1|2]), (222,223,[3_1|2]), (223,224,[0_1|2]), (223,151,[0_1|2]), (223,155,[0_1|2]), (224,86,[2_1|2]), (224,220,[2_1|2, 1_1|2]), (224,194,[3_1|2]), (224,197,[0_1|2]), (224,202,[3_1|2]), (224,207,[2_1|2]), (224,211,[2_1|2]), (224,216,[2_1|2]), (224,225,[2_1|2]), (224,230,[2_1|2]), (225,226,[5_1|2]), (226,227,[1_1|2]), (227,228,[1_1|2]), (228,229,[0_1|2]), (229,86,[3_1|2]), (229,160,[3_1|2]), (229,165,[3_1|2]), (229,294,[3_1|2]), (229,255,[3_1|2]), (229,269,[3_1|2]), (229,281,[3_1|2]), (229,235,[3_1|2]), (229,239,[3_1|2]), (229,244,[3_1|2]), (229,249,[3_1|2]), (229,254,[3_1|2]), (230,231,[1_1|2]), (231,232,[1_1|2]), (232,233,[3_1|2]), (233,234,[0_1|2]), (233,160,[5_1|2]), (233,165,[5_1|2]), (233,170,[0_1|2]), (233,174,[0_1|2]), (233,179,[3_1|2]), (233,184,[0_1|2]), (233,320,[0_1|3]), (234,86,[5_1|2]), (234,118,[5_1|2]), (234,179,[5_1|2]), (234,194,[5_1|2]), (234,202,[5_1|2]), (234,235,[5_1|2]), (234,239,[5_1|2]), (234,244,[5_1|2]), (234,249,[5_1|2]), (234,254,[5_1|2]), (234,263,[5_1|2]), (234,268,[5_1|2]), (234,276,[5_1|2]), (234,280,[5_1|2]), (234,295,[5_1|2]), (235,236,[4_1|2]), (236,237,[0_1|2]), (237,238,[2_1|2]), (238,86,[1_1|2]), (238,207,[1_1|2]), (238,211,[1_1|2]), (238,216,[1_1|2]), (238,225,[1_1|2]), (238,230,[1_1|2]), (239,240,[4_1|2]), (240,241,[0_1|2]), (241,242,[2_1|2]), (242,243,[1_1|2]), (243,86,[0_1|2]), (243,87,[0_1|2]), (243,90,[0_1|2]), (243,94,[0_1|2]), (243,98,[0_1|2]), (243,106,[0_1|2]), (243,110,[0_1|2]), (243,114,[0_1|2]), (243,127,[0_1|2]), (243,136,[0_1|2]), (243,141,[0_1|2]), (243,146,[0_1|2]), (243,151,[0_1|2]), (243,155,[0_1|2]), (243,170,[0_1|2]), (243,174,[0_1|2]), (243,184,[0_1|2]), (243,189,[0_1|2]), (243,197,[0_1|2]), (243,289,[0_1|2]), (243,304,[0_1|2]), (243,102,[4_1|2]), (243,118,[3_1|2]), (243,123,[4_1|2]), (243,131,[4_1|2]), (243,160,[5_1|2]), (243,165,[5_1|2]), (243,179,[3_1|2]), (244,245,[2_1|2]), (245,246,[1_1|2]), (246,247,[5_1|2]), (247,248,[0_1|2]), (248,86,[0_1|2]), (248,87,[0_1|2]), (248,90,[0_1|2]), (248,94,[0_1|2]), (248,98,[0_1|2]), (248,106,[0_1|2]), (248,110,[0_1|2]), (248,114,[0_1|2]), (248,127,[0_1|2]), (248,136,[0_1|2]), (248,141,[0_1|2]), (248,146,[0_1|2]), (248,151,[0_1|2]), (248,155,[0_1|2]), (248,170,[0_1|2]), (248,174,[0_1|2]), (248,184,[0_1|2]), (248,189,[0_1|2]), (248,197,[0_1|2]), (248,289,[0_1|2]), (248,304,[0_1|2]), (248,102,[4_1|2]), (248,118,[3_1|2]), (248,123,[4_1|2]), (248,131,[4_1|2]), (248,160,[5_1|2]), (248,165,[5_1|2]), (248,179,[3_1|2]), (249,250,[3_1|2]), (250,251,[4_1|2]), (251,252,[2_1|2]), (252,253,[1_1|2]), (253,86,[5_1|2]), (253,220,[5_1|2]), (254,255,[5_1|2]), (255,256,[4_1|2]), (256,257,[3_1|2]), (257,258,[1_1|2]), (258,86,[3_1|2]), (258,118,[3_1|2]), (258,179,[3_1|2]), (258,194,[3_1|2]), (258,202,[3_1|2]), (258,235,[3_1|2]), (258,239,[3_1|2]), (258,244,[3_1|2]), (258,249,[3_1|2]), (258,254,[3_1|2]), (258,263,[3_1|2]), (258,268,[3_1|2]), (258,276,[3_1|2]), (258,280,[3_1|2]), (259,260,[3_1|2]), (260,261,[4_1|2]), (261,262,[2_1|2]), (262,86,[1_1|2]), (262,207,[1_1|2]), (262,211,[1_1|2]), (262,216,[1_1|2]), (262,225,[1_1|2]), (262,230,[1_1|2]), (262,245,[1_1|2]), (263,264,[4_1|2]), (264,265,[2_1|2]), (265,266,[4_1|2]), (266,267,[1_1|2]), (267,86,[5_1|2]), (267,160,[5_1|2]), (267,165,[5_1|2]), (267,294,[5_1|2]), (267,226,[5_1|2]), (268,269,[5_1|2]), (269,270,[4_1|2]), (270,271,[4_1|2]), (271,86,[1_1|2]), (271,220,[1_1|2]), (272,273,[3_1|2]), (273,274,[1_1|2]), (274,275,[5_1|2]), (275,86,[1_1|2]), (275,220,[1_1|2]), (276,277,[4_1|2]), (277,278,[2_1|2]), (278,279,[5_1|2]), (279,86,[4_1|2]), (279,207,[4_1|2]), (279,211,[4_1|2]), (279,216,[4_1|2]), (279,225,[4_1|2]), (279,230,[4_1|2]), (279,245,[4_1|2]), (279,259,[4_1|2]), (279,263,[3_1|2]), (279,268,[3_1|2]), (279,272,[4_1|2]), (279,276,[3_1|2]), (279,280,[3_1|2]), (279,284,[4_1|2]), (279,289,[0_1|2]), (279,294,[5_1|2]), (279,299,[4_1|2]), (279,304,[0_1|2]), (280,281,[5_1|2]), (281,282,[4_1|2]), (282,283,[2_1|2]), (283,86,[1_1|2]), (283,207,[1_1|2]), (283,211,[1_1|2]), (283,216,[1_1|2]), (283,225,[1_1|2]), (283,230,[1_1|2]), (283,245,[1_1|2]), (284,285,[5_1|2]), (285,286,[5_1|2]), (286,287,[4_1|2]), (287,288,[3_1|2]), (288,86,[1_1|2]), (288,220,[1_1|2]), (289,290,[4_1|2]), (290,291,[2_1|2]), (291,292,[1_1|2]), (292,293,[5_1|2]), (293,86,[5_1|2]), (293,207,[5_1|2]), (293,211,[5_1|2]), (293,216,[5_1|2]), (293,225,[5_1|2]), (293,230,[5_1|2]), (294,295,[3_1|2]), (295,296,[4_1|2]), (296,297,[3_1|2]), (297,298,[2_1|2]), (298,86,[1_1|2]), (298,220,[1_1|2]), (299,300,[2_1|2]), (300,301,[5_1|2]), (301,302,[5_1|2]), (302,303,[2_1|2]), (303,86,[1_1|2]), (303,207,[1_1|2]), (303,211,[1_1|2]), (303,216,[1_1|2]), (303,225,[1_1|2]), (303,230,[1_1|2]), (304,305,[3_1|2]), (305,306,[4_1|2]), (306,307,[3_1|2]), (307,308,[1_1|2]), (308,86,[1_1|2]), (308,220,[1_1|2]), (320,321,[3_1|3]), (321,322,[4_1|3]), (322,323,[2_1|3]), (323,245,[5_1|3])}" ---------------------------------------- (8) BOUNDS(1, n^1)