MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f4(A,B,C) -> f5(A,B,C) [A >= 1 + B] (?,1) 1. f0(A,B,C) -> f4(D,1 + D,B) True (1,1) 2. f4(A,B,C) -> f4(D,1 + D,B) True (?,1) Signature: {(f0,3);(f4,3);(f5,3)} Flow Graph: [0->{},1->{0,2},2->{0,2}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f4(A,B,C) -> f5(A,B,C) [A >= 1 + B] (1,1) 1. f0(A,B,C) -> f4(D,1 + D,B) True (1,1) 2. f4(A,B,C) -> f4(D,1 + D,B) True (?,1) Signature: {(f0,3);(f4,3);(f5,3)} Flow Graph: [0->{},1->{0,2},2->{0,2}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,0),(2,0)] * Step 3: UnreachableRules MAYBE + Considered Problem: Rules: 0. f4(A,B,C) -> f5(A,B,C) [A >= 1 + B] (1,1) 1. f0(A,B,C) -> f4(D,1 + D,B) True (1,1) 2. f4(A,B,C) -> f4(D,1 + D,B) True (?,1) Signature: {(f0,3);(f4,3);(f5,3)} Flow Graph: [0->{},1->{2},2->{2}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [0] * Step 4: AddSinks MAYBE + Considered Problem: Rules: 1. f0(A,B,C) -> f4(D,1 + D,B) True (1,1) 2. f4(A,B,C) -> f4(D,1 + D,B) True (?,1) Signature: {(f0,3);(f4,3);(f5,3)} Flow Graph: [1->{2},2->{2}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: 1. f0(A,B,C) -> f4(D,1 + D,B) True (1,1) 2. f4(A,B,C) -> f4(D,1 + D,B) True (?,1) 3. f4(A,B,C) -> exitus616(A,B,C) True (?,1) Signature: {(exitus616,3);(f0,3);(f4,3);(f5,3)} Flow Graph: [1->{2,3},2->{2,3},3->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [1,2,3] | `- p:[2] c: [] MAYBE