YES * Step 1: TrivialSCCs YES + Considered Problem: Rules: 0. evalfstart(A,B) -> evalfentryin(A,B) True (1,1) 1. evalfentryin(A,B) -> evalfbb1in(B,A) True (?,1) 2. evalfbb1in(A,B) -> evalfbbin(A,B) [A >= B] (?,1) 3. evalfbb1in(A,B) -> evalfreturnin(A,B) [B >= 1 + A] (?,1) 4. evalfbbin(A,B) -> evalfbb1in(A,1 + B) [A + -1*B >= 0] (?,1) 5. evalfreturnin(A,B) -> evalfstop(A,B) [-1 + -1*A + B >= 0] (?,1) Signature: {(evalfbb1in,2);(evalfbbin,2);(evalfentryin,2);(evalfreturnin,2);(evalfstart,2);(evalfstop,2)} Flow Graph: [0->{1},1->{2,3},2->{4},3->{5},4->{2,3},5->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: Looptree YES + Considered Problem: Rules: 0. evalfstart(A,B) -> evalfentryin(A,B) True (1,1) 1. evalfentryin(A,B) -> evalfbb1in(B,A) True (1,1) 2. evalfbb1in(A,B) -> evalfbbin(A,B) [A >= B] (?,1) 3. evalfbb1in(A,B) -> evalfreturnin(A,B) [B >= 1 + A] (1,1) 4. evalfbbin(A,B) -> evalfbb1in(A,1 + B) [A + -1*B >= 0] (?,1) 5. evalfreturnin(A,B) -> evalfstop(A,B) [-1 + -1*A + B >= 0] (1,1) Signature: {(evalfbb1in,2);(evalfbbin,2);(evalfentryin,2);(evalfreturnin,2);(evalfstart,2);(evalfstop,2)} Flow Graph: [0->{1},1->{2,3},2->{4},3->{5},4->{2,3},5->{}] + Applied Processor: Looptree + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[2,4] c: [4] YES