MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B) -> f9(C,B) True (1,1) 1. f9(A,B) -> f20(A,B) [A >= 6] (?,1) 2. f9(A,B) -> f20(A,0) [5 >= A] (?,1) 3. f9(A,B) -> f12(A,C) [5 >= A && C >= 1] (?,1) 4. f9(A,B) -> f12(A,C) [5 >= A && 0 >= 1 + C] (?,1) 5. f20(A,B) -> f20(-1 + A,B) [A >= 3] (?,1) 6. f20(A,B) -> f9(A,B) [2 >= A] (?,1) 7. f12(A,B) -> f9(1 + A,B) [5 + -1*A >= 0 && 5 >= A] (?,1) Signature: {(f0,2);(f12,2);(f20,2);(f9,2)} Flow Graph: [0->{1,2,3,4},1->{5,6},2->{5,6},3->{7},4->{7},5->{5,6},6->{1,2,3,4},7->{1,2,3,4}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,6),(6,1)] * Step 2: AddSinks MAYBE + Considered Problem: Rules: 0. f0(A,B) -> f9(C,B) True (1,1) 1. f9(A,B) -> f20(A,B) [A >= 6] (?,1) 2. f9(A,B) -> f20(A,0) [5 >= A] (?,1) 3. f9(A,B) -> f12(A,C) [5 >= A && C >= 1] (?,1) 4. f9(A,B) -> f12(A,C) [5 >= A && 0 >= 1 + C] (?,1) 5. f20(A,B) -> f20(-1 + A,B) [A >= 3] (?,1) 6. f20(A,B) -> f9(A,B) [2 >= A] (?,1) 7. f12(A,B) -> f9(1 + A,B) [5 + -1*A >= 0 && 5 >= A] (?,1) Signature: {(f0,2);(f12,2);(f20,2);(f9,2)} Flow Graph: [0->{1,2,3,4},1->{5},2->{5,6},3->{7},4->{7},5->{5,6},6->{2,3,4},7->{1,2,3,4}] + Applied Processor: AddSinks + Details: () * Step 3: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B) -> f9(C,B) True (1,1) 1. f9(A,B) -> f20(A,B) [A >= 6] (?,1) 2. f9(A,B) -> f20(A,0) [5 >= A] (?,1) 3. f9(A,B) -> f12(A,C) [5 >= A && C >= 1] (?,1) 4. f9(A,B) -> f12(A,C) [5 >= A && 0 >= 1 + C] (?,1) 5. f20(A,B) -> f20(-1 + A,B) [A >= 3] (?,1) 6. f20(A,B) -> f9(A,B) [2 >= A] (?,1) 7. f12(A,B) -> f9(1 + A,B) [5 + -1*A >= 0 && 5 >= A] (?,1) 8. f9(A,B) -> exitus616(A,B) True (?,1) 9. f12(A,B) -> exitus616(A,B) True (?,1) 10. f20(A,B) -> exitus616(A,B) True (?,1) Signature: {(exitus616,2);(f0,2);(f12,2);(f20,2);(f9,2)} Flow Graph: [0->{1,2,3,4,8},1->{5,6,10},2->{5,6,10},3->{7,9},4->{7,9},5->{5,6,10},6->{1,2,3,4,8},7->{1,2,3,4,8},8->{} ,9->{},10->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,6),(6,1)] * Step 4: Failure MAYBE + Considered Problem: Rules: 0. f0(A,B) -> f9(C,B) True (1,1) 1. f9(A,B) -> f20(A,B) [A >= 6] (?,1) 2. f9(A,B) -> f20(A,0) [5 >= A] (?,1) 3. f9(A,B) -> f12(A,C) [5 >= A && C >= 1] (?,1) 4. f9(A,B) -> f12(A,C) [5 >= A && 0 >= 1 + C] (?,1) 5. f20(A,B) -> f20(-1 + A,B) [A >= 3] (?,1) 6. f20(A,B) -> f9(A,B) [2 >= A] (?,1) 7. f12(A,B) -> f9(1 + A,B) [5 + -1*A >= 0 && 5 >= A] (?,1) 8. f9(A,B) -> exitus616(A,B) True (?,1) 9. f12(A,B) -> exitus616(A,B) True (?,1) 10. f20(A,B) -> exitus616(A,B) True (?,1) Signature: {(exitus616,2);(f0,2);(f12,2);(f20,2);(f9,2)} Flow Graph: [0->{1,2,3,4,8},1->{5,10},2->{5,6,10},3->{7,9},4->{7,9},5->{5,6,10},6->{2,3,4,8},7->{1,2,3,4,8},8->{} ,9->{},10->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10] | `- p:[1,7,3,6,2,5,4] c: [] MAYBE