NO * Step 1: TrivialSCCs NO + Considered Problem: Rules: 0. f0(A,B,C,D) -> f14(E,E,0,D) [0 >= E] (1,1) 1. f0(A,B,C,D) -> f14(E,E,0,D) [E >= 1024] (1,1) 2. f0(A,B,C,D) -> f14(E,E,0,F) [1023 >= E && E >= 1] (1,1) 3. f14(A,B,C,D) -> f14(A,B,1 + C,D) [C >= 0 && E >= 1 + C] (?,1) 4. f14(A,B,C,D) -> f22(A,B,C,D) [C >= 0 && C >= E] (?,1) Signature: {(f0,4);(f14,4);(f22,4)} Flow Graph: [0->{3,4},1->{3,4},2->{3,4},3->{3,4},4->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: Looptree NO + Considered Problem: Rules: 0. f0(A,B,C,D) -> f14(E,E,0,D) [0 >= E] (1,1) 1. f0(A,B,C,D) -> f14(E,E,0,D) [E >= 1024] (1,1) 2. f0(A,B,C,D) -> f14(E,E,0,F) [1023 >= E && E >= 1] (1,1) 3. f14(A,B,C,D) -> f14(A,B,1 + C,D) [C >= 0 && E >= 1 + C] (?,1) 4. f14(A,B,C,D) -> f22(A,B,C,D) [C >= 0 && C >= E] (1,1) Signature: {(f0,4);(f14,4);(f22,4)} Flow Graph: [0->{3,4},1->{3,4},2->{3,4},3->{3,4},4->{}] + Applied Processor: Looptree + Details: We construct a looptree: P: [0,1,2,3,4] | `- p:[3] c: [] NO