MAYBE * Step 1: UnsatRules MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f1(C,D) [0 >= 1 + C && A = 14] (?,1) 1. f2(A,B) -> f2(C,B) [C >= 0 && A = 14] (?,1) 2. f2(A,B) -> f1(-1 + A,C) [A >= 15 && 0 >= A] (?,1) 3. f2(A,B) -> f1(-1 + A,C) [13 >= A && 0 >= A] (?,1) 4. f2(A,B) -> f2(-1 + A,B) [A >= 15 && A >= 1] (?,1) 5. f2(A,B) -> f2(-1 + A,B) [13 >= A && A >= 1] (?,1) 6. f300(A,B) -> f2(A,B) True (1,1) Signature: {(f1,2);(f2,2);(f300,2)} Flow Graph: [0->{},1->{0,1,2,3,4,5},2->{},3->{},4->{0,1,2,3,4,5},5->{0,1,2,3,4,5},6->{0,1,2,3,4,5}] + Applied Processor: UnsatRules + Details: Following transitions have unsatisfiable constraints and are removed: [2] * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f1(C,D) [0 >= 1 + C && A = 14] (?,1) 1. f2(A,B) -> f2(C,B) [C >= 0 && A = 14] (?,1) 3. f2(A,B) -> f1(-1 + A,C) [13 >= A && 0 >= A] (?,1) 4. f2(A,B) -> f2(-1 + A,B) [A >= 15 && A >= 1] (?,1) 5. f2(A,B) -> f2(-1 + A,B) [13 >= A && A >= 1] (?,1) 6. f300(A,B) -> f2(A,B) True (1,1) Signature: {(f1,2);(f2,2);(f300,2)} Flow Graph: [0->{},1->{0,1,3,4,5},3->{},4->{0,1,3,4,5},5->{0,1,3,4,5},6->{0,1,3,4,5}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(4,3),(4,5),(5,0),(5,1),(5,4)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f1(C,D) [0 >= 1 + C && A = 14] (?,1) 1. f2(A,B) -> f2(C,B) [C >= 0 && A = 14] (?,1) 3. f2(A,B) -> f1(-1 + A,C) [13 >= A && 0 >= A] (?,1) 4. f2(A,B) -> f2(-1 + A,B) [A >= 15 && A >= 1] (?,1) 5. f2(A,B) -> f2(-1 + A,B) [13 >= A && A >= 1] (?,1) 6. f300(A,B) -> f2(A,B) True (1,1) Signature: {(f1,2);(f2,2);(f300,2)} Flow Graph: [0->{},1->{0,1,3,4,5},3->{},4->{0,1,4},5->{3,5},6->{0,1,3,4,5}] + Applied Processor: FromIts + Details: () * Step 4: Unfold MAYBE + Considered Problem: Rules: f2(A,B) -> f1(C,D) [0 >= 1 + C && A = 14] f2(A,B) -> f2(C,B) [C >= 0 && A = 14] f2(A,B) -> f1(-1 + A,C) [13 >= A && 0 >= A] f2(A,B) -> f2(-1 + A,B) [A >= 15 && A >= 1] f2(A,B) -> f2(-1 + A,B) [13 >= A && A >= 1] f300(A,B) -> f2(A,B) True Signature: {(f1,2);(f2,2);(f300,2)} Rule Graph: [0->{},1->{0,1,3,4,5},3->{},4->{0,1,4},5->{3,5},6->{0,1,3,4,5}] + Applied Processor: Unfold + Details: () * Step 5: AddSinks MAYBE + Considered Problem: Rules: f2.0(A,B) -> f1.7(C,D) [0 >= 1 + C && A = 14] f2.1(A,B) -> f2.0(C,B) [C >= 0 && A = 14] f2.1(A,B) -> f2.1(C,B) [C >= 0 && A = 14] f2.1(A,B) -> f2.3(C,B) [C >= 0 && A = 14] f2.1(A,B) -> f2.4(C,B) [C >= 0 && A = 14] f2.1(A,B) -> f2.5(C,B) [C >= 0 && A = 14] f2.3(A,B) -> f1.7(-1 + A,C) [13 >= A && 0 >= A] f2.4(A,B) -> f2.0(-1 + A,B) [A >= 15 && A >= 1] f2.4(A,B) -> f2.1(-1 + A,B) [A >= 15 && A >= 1] f2.4(A,B) -> f2.4(-1 + A,B) [A >= 15 && A >= 1] f2.5(A,B) -> f2.3(-1 + A,B) [13 >= A && A >= 1] f2.5(A,B) -> f2.5(-1 + A,B) [13 >= A && A >= 1] f300.6(A,B) -> f2.0(A,B) True f300.6(A,B) -> f2.1(A,B) True f300.6(A,B) -> f2.3(A,B) True f300.6(A,B) -> f2.4(A,B) True f300.6(A,B) -> f2.5(A,B) True Signature: {(f1.7,2);(f2.0,2);(f2.1,2);(f2.3,2);(f2.4,2);(f2.5,2);(f300.6,2)} Rule Graph: [0->{},1->{0},2->{1,2,3,4,5},3->{6},4->{7,8,9},5->{10,11},6->{},7->{0},8->{1,2,3,4,5},9->{7,8,9},10->{6} ,11->{10,11},12->{0},13->{1,2,3,4,5},14->{6},15->{7,8,9},16->{10,11}] + Applied Processor: AddSinks + Details: () * Step 6: Failure MAYBE + Considered Problem: Rules: f2.0(A,B) -> f1.7(C,D) [0 >= 1 + C && A = 14] f2.1(A,B) -> f2.0(C,B) [C >= 0 && A = 14] f2.1(A,B) -> f2.1(C,B) [C >= 0 && A = 14] f2.1(A,B) -> f2.3(C,B) [C >= 0 && A = 14] f2.1(A,B) -> f2.4(C,B) [C >= 0 && A = 14] f2.1(A,B) -> f2.5(C,B) [C >= 0 && A = 14] f2.3(A,B) -> f1.7(-1 + A,C) [13 >= A && 0 >= A] f2.4(A,B) -> f2.0(-1 + A,B) [A >= 15 && A >= 1] f2.4(A,B) -> f2.1(-1 + A,B) [A >= 15 && A >= 1] f2.4(A,B) -> f2.4(-1 + A,B) [A >= 15 && A >= 1] f2.5(A,B) -> f2.3(-1 + A,B) [13 >= A && A >= 1] f2.5(A,B) -> f2.5(-1 + A,B) [13 >= A && A >= 1] f300.6(A,B) -> f2.0(A,B) True f300.6(A,B) -> f2.1(A,B) True f300.6(A,B) -> f2.3(A,B) True f300.6(A,B) -> f2.4(A,B) True f300.6(A,B) -> f2.5(A,B) True f1.7(A,B) -> exitus616(A,B) True f1.7(A,B) -> exitus616(A,B) True f1.7(A,B) -> exitus616(A,B) True f1.7(A,B) -> exitus616(A,B) True f1.7(A,B) -> exitus616(A,B) True f1.7(A,B) -> exitus616(A,B) True f1.7(A,B) -> exitus616(A,B) True f1.7(A,B) -> exitus616(A,B) True f1.7(A,B) -> exitus616(A,B) True f1.7(A,B) -> exitus616(A,B) True f1.7(A,B) -> exitus616(A,B) True Signature: {(exitus616,2);(f1.7,2);(f2.0,2);(f2.1,2);(f2.3,2);(f2.4,2);(f2.5,2);(f300.6,2)} Rule Graph: [0->{19,21,24,26,27},1->{0},2->{1,2,3,4,5},3->{6},4->{7,8,9},5->{10,11},6->{17,18,20,22,23,25},7->{0} ,8->{1,2,3,4,5},9->{7,8,9},10->{6},11->{10,11},12->{0},13->{1,2,3,4,5},14->{6},15->{7,8,9},16->{10,11}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27] | +- p:[2,8,4,9] c: [] | `- p:[11] c: [11] MAYBE