MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f10(A,B,C,D,E,F) -> f4(4,0,0,D,E,F) True (1,1) 1. f4(A,B,C,D,E,F) -> f9(A,B,C,C,C,F) True (?,1) 2. f7(A,B,C,D,E,F) -> f4(A,1 + B,G,H,E,G) True (?,1) 3. f4(A,B,C,D,E,F) -> f4(A,1 + B,G,H,E,G) True (?,1) 4. f6(A,B,C,D,E,F) -> f4(A,1 + B,G,H,E,G) True (?,1) Signature: {(f10,6);(f4,6);(f6,6);(f7,6);(f9,6)} Flow Graph: [0->{1,3},1->{},2->{1,3},3->{1,3},4->{1,3}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnreachableRules MAYBE + Considered Problem: Rules: 0. f10(A,B,C,D,E,F) -> f4(4,0,0,D,E,F) True (1,1) 1. f4(A,B,C,D,E,F) -> f9(A,B,C,C,C,F) True (1,1) 2. f7(A,B,C,D,E,F) -> f4(A,1 + B,G,H,E,G) True (1,1) 3. f4(A,B,C,D,E,F) -> f4(A,1 + B,G,H,E,G) True (?,1) 4. f6(A,B,C,D,E,F) -> f4(A,1 + B,G,H,E,G) True (1,1) Signature: {(f10,6);(f4,6);(f6,6);(f7,6);(f9,6)} Flow Graph: [0->{1,3},1->{},2->{1,3},3->{1,3},4->{1,3}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [2,4] * Step 3: AddSinks MAYBE + Considered Problem: Rules: 0. f10(A,B,C,D,E,F) -> f4(4,0,0,D,E,F) True (1,1) 1. f4(A,B,C,D,E,F) -> f9(A,B,C,C,C,F) True (1,1) 3. f4(A,B,C,D,E,F) -> f4(A,1 + B,G,H,E,G) True (?,1) Signature: {(f10,6);(f4,6);(f6,6);(f7,6);(f9,6)} Flow Graph: [0->{1,3},1->{},3->{1,3}] + Applied Processor: AddSinks + Details: () * Step 4: Failure MAYBE + Considered Problem: Rules: 0. f10(A,B,C,D,E,F) -> f4(4,0,0,D,E,F) True (1,1) 1. f4(A,B,C,D,E,F) -> f9(A,B,C,C,C,F) True (?,1) 3. f4(A,B,C,D,E,F) -> f4(A,1 + B,G,H,E,G) True (?,1) 4. f4(A,B,C,D,E,F) -> exitus616(A,B,C,D,E,F) True (?,1) Signature: {(exitus616,6);(f10,6);(f4,6);(f6,6);(f7,6);(f9,6)} Flow Graph: [0->{1,3,4},1->{},3->{1,3,4},4->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,3,4] | `- p:[3] c: [] MAYBE