MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f2(A,B,C) -> f2(A + -1*B,1 + B,C) [A >= 1] (?,1) 1. f3(A,B,C) -> f2(A,B,C) [B >= 1] (1,1) 2. f2(A,B,C) -> f4(A,B,D) [0 >= A] (?,1) 3. f3(A,B,C) -> f4(A,B,D) [0 >= B] (1,1) Signature: {(f2,3);(f3,3);(f4,3)} Flow Graph: [0->{0,2},1->{0,2},2->{},3->{}] + 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) -> f2(A + -1*B,1 + B,C) [A >= 1] (?,1) 1. f3(A,B,C) -> f2(A,B,C) [B >= 1] (1,1) 2. f2(A,B,C) -> f4(A,B,D) [0 >= A] (1,1) 3. f3(A,B,C) -> f4(A,B,D) [0 >= B] (1,1) Signature: {(f2,3);(f3,3);(f4,3)} Flow Graph: [0->{0,2},1->{0,2},2->{},3->{}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: 0. f2(A,B,C) -> f2(A + -1*B,1 + B,C) [A >= 1] (?,1) 1. f3(A,B,C) -> f2(A,B,C) [B >= 1] (1,1) 2. f2(A,B,C) -> f4(A,B,D) [0 >= A] (?,1) 3. f3(A,B,C) -> f4(A,B,D) [0 >= B] (1,1) 4. f3(A,B,C) -> exitus616(A,B,C) True (1,1) 5. f2(A,B,C) -> exitus616(A,B,C) True (?,1) Signature: {(exitus616,3);(f2,3);(f3,3);(f4,3)} Flow Graph: [0->{0,2,5},1->{0,2,5},2->{},3->{},4->{},5->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[0] c: [] MAYBE