MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f2(A,B,C) -> f1(A + B,B,D) [0 >= 1 + A + B] (?,1) 1. f2(A,B,C) -> f2(A + B,B,C) [A + B >= 0] (?,1) 2. f300(A,B,C) -> f2(A,B,C) True (1,1) Signature: {(f1,3);(f2,3);(f300,3)} 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: AddSinks MAYBE + Considered Problem: Rules: 0. f2(A,B,C) -> f1(A + B,B,D) [0 >= 1 + A + B] (1,1) 1. f2(A,B,C) -> f2(A + B,B,C) [A + B >= 0] (?,1) 2. f300(A,B,C) -> f2(A,B,C) True (1,1) Signature: {(f1,3);(f2,3);(f300,3)} Flow Graph: [0->{},1->{0,1},2->{0,1}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: 0. f2(A,B,C) -> f1(A + B,B,D) [0 >= 1 + A + B] (?,1) 1. f2(A,B,C) -> f2(A + B,B,C) [A + B >= 0] (?,1) 2. f300(A,B,C) -> f2(A,B,C) True (1,1) 3. f2(A,B,C) -> exitus616(A,B,C) True (?,1) Signature: {(exitus616,3);(f1,3);(f2,3);(f300,3)} Flow Graph: [0->{},1->{0,1,3},2->{0,1,3},3->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3] | `- p:[1] c: [] MAYBE