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