MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f0(A,B,C) -> f2(A,D,C) [0 >= A] (?,1) 1. f0(A,B,C) -> f0(A + C,B,-1 + C) [A >= 1] (?,1) 2. f1(A,B,C) -> f0(A,B,C) True (1,1) Signature: {(f0,3);(f1,3);(f2,3)} 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. f0(A,B,C) -> f2(A,D,C) [0 >= A] (1,1) 1. f0(A,B,C) -> f0(A + C,B,-1 + C) [A >= 1] (?,1) 2. f1(A,B,C) -> f0(A,B,C) True (1,1) Signature: {(f0,3);(f1,3);(f2,3)} Flow Graph: [0->{},1->{0,1},2->{0,1}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: 0. f0(A,B,C) -> f2(A,D,C) [0 >= A] (?,1) 1. f0(A,B,C) -> f0(A + C,B,-1 + C) [A >= 1] (?,1) 2. f1(A,B,C) -> f0(A,B,C) True (1,1) 3. f0(A,B,C) -> exitus616(A,B,C) True (?,1) Signature: {(exitus616,3);(f0,3);(f1,3);(f2,3)} 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