NO * Step 1: TrivialSCCs NO + Considered Problem: Rules: 0. f1(A,B,C) -> f0(A,B,C) True (1,1) 1. f0(A,B,C) -> f0(A + C,B,-1 + C) [A >= 1] (?,1) 2. f0(A,B,C) -> f2(A,D,C) [0 >= A] (?,1) Signature: {(f0,3);(f1,3);(f2,3)} Flow Graph: [0->{1,2},1->{1,2},2->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: Looptree NO + Considered Problem: Rules: 0. f1(A,B,C) -> f0(A,B,C) True (1,1) 1. f0(A,B,C) -> f0(A + C,B,-1 + C) [A >= 1] (?,1) 2. f0(A,B,C) -> f2(A,D,C) [0 >= A] (1,1) Signature: {(f0,3);(f1,3);(f2,3)} Flow Graph: [0->{1,2},1->{1,2},2->{}] + Applied Processor: Looptree + Details: We construct a looptree: P: [0,1,2] | `- p:[1] c: [] NO