MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f300(A,B,C,D) -> f1(A,B,C,E) [0 >= B] (?,1) 1. f300(A,B,C,D) -> f1(A,B,C,E) [B >= 1 && 0 >= A] (?,1) 2. f300(A,B,C,D) -> f300(-1 + A,-2 + A,0,D) [A >= 1 && A + B >= 1 && B >= 1] (?,1) 3. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && 0 >= 1 + E && A + B >= 1] (?,1) 4. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && E >= 1 && A + B >= 1] (?,1) 5. f2(A,B,C,D) -> f300(A,B,C,D) True (1,1) Signature: {(f1,4);(f2,4);(f300,4)} Flow Graph: [0->{},1->{},2->{0,1,2,3,4},3->{0,1,2,3,4},4->{0,1,2,3,4},5->{0,1,2,3,4}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f300(A,B,C,D) -> f1(A,B,C,E) [0 >= B] (1,1) 1. f300(A,B,C,D) -> f1(A,B,C,E) [B >= 1 && 0 >= A] (1,1) 2. f300(A,B,C,D) -> f300(-1 + A,-2 + A,0,D) [A >= 1 && A + B >= 1 && B >= 1] (?,1) 3. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && 0 >= 1 + E && A + B >= 1] (?,1) 4. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && E >= 1 && A + B >= 1] (?,1) 5. f2(A,B,C,D) -> f300(A,B,C,D) True (1,1) Signature: {(f1,4);(f2,4);(f300,4)} Flow Graph: [0->{},1->{},2->{0,1,2,3,4},3->{0,1,2,3,4},4->{0,1,2,3,4},5->{0,1,2,3,4}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,1),(3,1),(4,1)] * Step 3: AddSinks MAYBE + Considered Problem: Rules: 0. f300(A,B,C,D) -> f1(A,B,C,E) [0 >= B] (1,1) 1. f300(A,B,C,D) -> f1(A,B,C,E) [B >= 1 && 0 >= A] (1,1) 2. f300(A,B,C,D) -> f300(-1 + A,-2 + A,0,D) [A >= 1 && A + B >= 1 && B >= 1] (?,1) 3. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && 0 >= 1 + E && A + B >= 1] (?,1) 4. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && E >= 1 && A + B >= 1] (?,1) 5. f2(A,B,C,D) -> f300(A,B,C,D) True (1,1) Signature: {(f1,4);(f2,4);(f300,4)} Flow Graph: [0->{},1->{},2->{0,2,3,4},3->{0,2,3,4},4->{0,2,3,4},5->{0,1,2,3,4}] + Applied Processor: AddSinks + Details: () * Step 4: UnsatPaths MAYBE + Considered Problem: Rules: 0. f300(A,B,C,D) -> f1(A,B,C,E) [0 >= B] (?,1) 1. f300(A,B,C,D) -> f1(A,B,C,E) [B >= 1 && 0 >= A] (?,1) 2. f300(A,B,C,D) -> f300(-1 + A,-2 + A,0,D) [A >= 1 && A + B >= 1 && B >= 1] (?,1) 3. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && 0 >= 1 + E && A + B >= 1] (?,1) 4. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && E >= 1 && A + B >= 1] (?,1) 5. f2(A,B,C,D) -> f300(A,B,C,D) True (1,1) 6. f300(A,B,C,D) -> exitus616(A,B,C,D) True (?,1) Signature: {(exitus616,4);(f1,4);(f2,4);(f300,4)} Flow Graph: [0->{},1->{},2->{0,1,2,3,4,6},3->{0,1,2,3,4,6},4->{0,1,2,3,4,6},5->{0,1,2,3,4,6},6->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,1),(3,1),(4,1)] * Step 5: Failure MAYBE + Considered Problem: Rules: 0. f300(A,B,C,D) -> f1(A,B,C,E) [0 >= B] (?,1) 1. f300(A,B,C,D) -> f1(A,B,C,E) [B >= 1 && 0 >= A] (?,1) 2. f300(A,B,C,D) -> f300(-1 + A,-2 + A,0,D) [A >= 1 && A + B >= 1 && B >= 1] (?,1) 3. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && 0 >= 1 + E && A + B >= 1] (?,1) 4. f300(A,B,C,D) -> f300(-1 + B,-1 + B,E,D) [A >= 1 && B >= 1 && E >= 1 && A + B >= 1] (?,1) 5. f2(A,B,C,D) -> f300(A,B,C,D) True (1,1) 6. f300(A,B,C,D) -> exitus616(A,B,C,D) True (?,1) Signature: {(exitus616,4);(f1,4);(f2,4);(f300,4)} Flow Graph: [0->{},1->{},2->{0,2,3,4,6},3->{0,2,3,4,6},4->{0,2,3,4,6},5->{0,1,2,3,4,6},6->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6] | `- p:[2,3,4] c: [] MAYBE