MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f300(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(S,T,U,V,W,F,G,H,I,J,K,L,M,N,O,P,Q,R) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,256,S,T,U,V,W,Y,O,P,Q,R) [G >= 1 + F && X >= 1 && H = 256] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,S,T,U,V,W,N,O,P,Q,R) [G >= 1 + F && 0 >= H] (?,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f3(A,B,C,D,E,F,G,H,S,T,K,L,M,N,0,0,0,R) [F >= G] (?,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f2(A,B,C,D,E,F,G,H,S,T,U,V,W,Y,H,H,H,X) [H >= 1 && G >= 1 + F && H >= 257] (?,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f2(A,B,C,D,E,F,G,H,S,T,U,V,W,Y,H,H,H,X) [H >= 1 && G >= 1 + F && 255 >= H] (?,1) Signature: {(f1,18);(f2,18);(f3,18);(f300,18)} Flow Graph: [0->{1,2,3,4,5},1->{1,2,3,4,5},2->{1,2,3,4,5},3->{},4->{},5->{}] + 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,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(S,T,U,V,W,F,G,H,I,J,K,L,M,N,O,P,Q,R) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,256,S,T,U,V,W,Y,O,P,Q,R) [G >= 1 + F && X >= 1 && H = 256] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,S,T,U,V,W,N,O,P,Q,R) [G >= 1 + F && 0 >= H] (?,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f3(A,B,C,D,E,F,G,H,S,T,K,L,M,N,0,0,0,R) [F >= G] (1,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f2(A,B,C,D,E,F,G,H,S,T,U,V,W,Y,H,H,H,X) [H >= 1 && G >= 1 + F && H >= 257] (1,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f2(A,B,C,D,E,F,G,H,S,T,U,V,W,Y,H,H,H,X) [H >= 1 && G >= 1 + F && 255 >= H] (1,1) Signature: {(f1,18);(f2,18);(f3,18);(f300,18)} Flow Graph: [0->{1,2,3,4,5},1->{1,2,3,4,5},2->{1,2,3,4,5},3->{},4->{},5->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,2),(1,3),(1,4),(1,5),(2,1),(2,3),(2,4),(2,5)] * Step 3: AddSinks MAYBE + Considered Problem: Rules: 0. f300(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(S,T,U,V,W,F,G,H,I,J,K,L,M,N,O,P,Q,R) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,256,S,T,U,V,W,Y,O,P,Q,R) [G >= 1 + F && X >= 1 && H = 256] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,S,T,U,V,W,N,O,P,Q,R) [G >= 1 + F && 0 >= H] (?,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f3(A,B,C,D,E,F,G,H,S,T,K,L,M,N,0,0,0,R) [F >= G] (1,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f2(A,B,C,D,E,F,G,H,S,T,U,V,W,Y,H,H,H,X) [H >= 1 && G >= 1 + F && H >= 257] (1,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f2(A,B,C,D,E,F,G,H,S,T,U,V,W,Y,H,H,H,X) [H >= 1 && G >= 1 + F && 255 >= H] (1,1) Signature: {(f1,18);(f2,18);(f3,18);(f300,18)} Flow Graph: [0->{1,2,3,4,5},1->{1},2->{2},3->{},4->{},5->{}] + Applied Processor: AddSinks + Details: () * Step 4: UnsatPaths MAYBE + Considered Problem: Rules: 0. f300(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(S,T,U,V,W,F,G,H,I,J,K,L,M,N,O,P,Q,R) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,256,S,T,U,V,W,Y,O,P,Q,R) [G >= 1 + F && X >= 1 && H = 256] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,S,T,U,V,W,N,O,P,Q,R) [G >= 1 + F && 0 >= H] (?,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f3(A,B,C,D,E,F,G,H,S,T,K,L,M,N,0,0,0,R) [F >= G] (?,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f2(A,B,C,D,E,F,G,H,S,T,U,V,W,Y,H,H,H,X) [H >= 1 && G >= 1 + F && H >= 257] (?,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f2(A,B,C,D,E,F,G,H,S,T,U,V,W,Y,H,H,H,X) [H >= 1 && G >= 1 + F && 255 >= H] (?,1) 6. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) True (?,1) Signature: {(exitus616,18);(f1,18);(f2,18);(f3,18);(f300,18)} Flow Graph: [0->{1,2,3,4,5,6},1->{1,2,3,4,5,6},2->{1,2,3,4,5,6},3->{},4->{},5->{},6->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,2),(1,3),(1,4),(1,5),(2,1),(2,3),(2,4),(2,5)] * Step 5: Failure MAYBE + Considered Problem: Rules: 0. f300(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(S,T,U,V,W,F,G,H,I,J,K,L,M,N,O,P,Q,R) True (1,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,256,S,T,U,V,W,Y,O,P,Q,R) [G >= 1 + F && X >= 1 && H = 256] (?,1) 2. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f1(A,B,C,D,E,F,G,H,S,T,U,V,W,N,O,P,Q,R) [G >= 1 + F && 0 >= H] (?,1) 3. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f3(A,B,C,D,E,F,G,H,S,T,K,L,M,N,0,0,0,R) [F >= G] (?,1) 4. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f2(A,B,C,D,E,F,G,H,S,T,U,V,W,Y,H,H,H,X) [H >= 1 && G >= 1 + F && H >= 257] (?,1) 5. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> f2(A,B,C,D,E,F,G,H,S,T,U,V,W,Y,H,H,H,X) [H >= 1 && G >= 1 + F && 255 >= H] (?,1) 6. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) True (?,1) Signature: {(exitus616,18);(f1,18);(f2,18);(f3,18);(f300,18)} Flow Graph: [0->{1,2,3,4,5,6},1->{1,6},2->{2,6},3->{},4->{},5->{},6->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6] | +- p:[2] c: [] | `- p:[1] c: [] MAYBE