MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f3(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f2(-1 + E,B,C) [0 >= 1 + A && 0 >= D && B >= 1] (?,1) 2. f2(A,B,C) -> f2(-1 + E,B,C) [0 >= 1 + A && 0 >= D && 0 >= B] (?,1) 3. f2(A,B,C) -> f2(1 + E,B,C) [D >= 2 && 0 >= 1 + A] (?,1) 4. f2(A,B,C) -> f2(-1 + E,B,C) [A >= 1 && 0 >= 2 + D && B >= 1] (?,1) 5. f2(A,B,C) -> f2(-1 + E,B,C) [A >= 1 && 0 >= 2 + D && 0 >= B] (?,1) 6. f2(A,B,C) -> f2(1 + E,B,C) [D >= 0 && A >= 1] (?,1) 7. f2(A,B,C) -> f300(0,B,E) [0 >= 1 + A] (?,1) 8. f2(A,B,C) -> f300(0,B,E) [A >= 1] (?,1) 9. f2(A,B,C) -> f300(A,B,E) [A = 0] (?,1) Signature: {(f2,3);(f3,3);(f300,3)} Flow Graph: [0->{1,2,3,4,5,6,7,8,9},1->{1,2,3,4,5,6,7,8,9},2->{1,2,3,4,5,6,7,8,9},3->{1,2,3,4,5,6,7,8,9},4->{1,2,3,4,5 ,6,7,8,9},5->{1,2,3,4,5,6,7,8,9},6->{1,2,3,4,5,6,7,8,9},7->{},8->{},9->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f3(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f2(-1 + E,B,C) [0 >= 1 + A && 0 >= D && B >= 1] (?,1) 2. f2(A,B,C) -> f2(-1 + E,B,C) [0 >= 1 + A && 0 >= D && 0 >= B] (?,1) 3. f2(A,B,C) -> f2(1 + E,B,C) [D >= 2 && 0 >= 1 + A] (?,1) 4. f2(A,B,C) -> f2(-1 + E,B,C) [A >= 1 && 0 >= 2 + D && B >= 1] (?,1) 5. f2(A,B,C) -> f2(-1 + E,B,C) [A >= 1 && 0 >= 2 + D && 0 >= B] (?,1) 6. f2(A,B,C) -> f2(1 + E,B,C) [D >= 0 && A >= 1] (?,1) 7. f2(A,B,C) -> f300(0,B,E) [0 >= 1 + A] (1,1) 8. f2(A,B,C) -> f300(0,B,E) [A >= 1] (1,1) 9. f2(A,B,C) -> f300(A,B,E) [A = 0] (1,1) Signature: {(f2,3);(f3,3);(f300,3)} Flow Graph: [0->{1,2,3,4,5,6,7,8,9},1->{1,2,3,4,5,6,7,8,9},2->{1,2,3,4,5,6,7,8,9},3->{1,2,3,4,5,6,7,8,9},4->{1,2,3,4,5 ,6,7,8,9},5->{1,2,3,4,5,6,7,8,9},6->{1,2,3,4,5,6,7,8,9},7->{},8->{},9->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,2),(1,5),(2,1),(2,4),(4,2),(4,5),(5,1),(5,4)] * Step 3: AddSinks MAYBE + Considered Problem: Rules: 0. f3(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f2(-1 + E,B,C) [0 >= 1 + A && 0 >= D && B >= 1] (?,1) 2. f2(A,B,C) -> f2(-1 + E,B,C) [0 >= 1 + A && 0 >= D && 0 >= B] (?,1) 3. f2(A,B,C) -> f2(1 + E,B,C) [D >= 2 && 0 >= 1 + A] (?,1) 4. f2(A,B,C) -> f2(-1 + E,B,C) [A >= 1 && 0 >= 2 + D && B >= 1] (?,1) 5. f2(A,B,C) -> f2(-1 + E,B,C) [A >= 1 && 0 >= 2 + D && 0 >= B] (?,1) 6. f2(A,B,C) -> f2(1 + E,B,C) [D >= 0 && A >= 1] (?,1) 7. f2(A,B,C) -> f300(0,B,E) [0 >= 1 + A] (1,1) 8. f2(A,B,C) -> f300(0,B,E) [A >= 1] (1,1) 9. f2(A,B,C) -> f300(A,B,E) [A = 0] (1,1) Signature: {(f2,3);(f3,3);(f300,3)} Flow Graph: [0->{1,2,3,4,5,6,7,8,9},1->{1,3,4,6,7,8,9},2->{2,3,5,6,7,8,9},3->{1,2,3,4,5,6,7,8,9},4->{1,3,4,6,7,8,9} ,5->{2,3,5,6,7,8,9},6->{1,2,3,4,5,6,7,8,9},7->{},8->{},9->{}] + Applied Processor: AddSinks + Details: () * Step 4: UnsatPaths MAYBE + Considered Problem: Rules: 0. f3(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f2(-1 + E,B,C) [0 >= 1 + A && 0 >= D && B >= 1] (?,1) 2. f2(A,B,C) -> f2(-1 + E,B,C) [0 >= 1 + A && 0 >= D && 0 >= B] (?,1) 3. f2(A,B,C) -> f2(1 + E,B,C) [D >= 2 && 0 >= 1 + A] (?,1) 4. f2(A,B,C) -> f2(-1 + E,B,C) [A >= 1 && 0 >= 2 + D && B >= 1] (?,1) 5. f2(A,B,C) -> f2(-1 + E,B,C) [A >= 1 && 0 >= 2 + D && 0 >= B] (?,1) 6. f2(A,B,C) -> f2(1 + E,B,C) [D >= 0 && A >= 1] (?,1) 7. f2(A,B,C) -> f300(0,B,E) [0 >= 1 + A] (?,1) 8. f2(A,B,C) -> f300(0,B,E) [A >= 1] (?,1) 9. f2(A,B,C) -> f300(A,B,E) [A = 0] (?,1) 10. f2(A,B,C) -> exitus616(A,B,C) True (?,1) Signature: {(exitus616,3);(f2,3);(f3,3);(f300,3)} Flow Graph: [0->{1,2,3,4,5,6,7,8,9,10},1->{1,2,3,4,5,6,7,8,9,10},2->{1,2,3,4,5,6,7,8,9,10},3->{1,2,3,4,5,6,7,8,9,10} ,4->{1,2,3,4,5,6,7,8,9,10},5->{1,2,3,4,5,6,7,8,9,10},6->{1,2,3,4,5,6,7,8,9,10},7->{},8->{},9->{},10->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,2),(1,5),(2,1),(2,4),(4,2),(4,5),(5,1),(5,4)] * Step 5: Failure MAYBE + Considered Problem: Rules: 0. f3(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f2(-1 + E,B,C) [0 >= 1 + A && 0 >= D && B >= 1] (?,1) 2. f2(A,B,C) -> f2(-1 + E,B,C) [0 >= 1 + A && 0 >= D && 0 >= B] (?,1) 3. f2(A,B,C) -> f2(1 + E,B,C) [D >= 2 && 0 >= 1 + A] (?,1) 4. f2(A,B,C) -> f2(-1 + E,B,C) [A >= 1 && 0 >= 2 + D && B >= 1] (?,1) 5. f2(A,B,C) -> f2(-1 + E,B,C) [A >= 1 && 0 >= 2 + D && 0 >= B] (?,1) 6. f2(A,B,C) -> f2(1 + E,B,C) [D >= 0 && A >= 1] (?,1) 7. f2(A,B,C) -> f300(0,B,E) [0 >= 1 + A] (?,1) 8. f2(A,B,C) -> f300(0,B,E) [A >= 1] (?,1) 9. f2(A,B,C) -> f300(A,B,E) [A = 0] (?,1) 10. f2(A,B,C) -> exitus616(A,B,C) True (?,1) Signature: {(exitus616,3);(f2,3);(f3,3);(f300,3)} Flow Graph: [0->{1,2,3,4,5,6,7,8,9,10},1->{1,3,4,6,7,8,9,10},2->{2,3,5,6,7,8,9,10},3->{1,2,3,4,5,6,7,8,9,10},4->{1,3,4 ,6,7,8,9,10},5->{2,3,5,6,7,8,9,10},6->{1,2,3,4,5,6,7,8,9,10},7->{},8->{},9->{},10->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10] | `- p:[1,3,2,5,6,4] c: [] MAYBE