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