MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f2(-1 + D,B) [0 >= C && 0 >= 1 + A] (?,1) 1. f2(A,B) -> f2(1 + D,B) [C >= 2 && 0 >= 1 + A] (?,1) 2. f2(A,B) -> f2(-1 + D,B) [0 >= 2 + C && A >= 1] (?,1) 3. f2(A,B) -> f2(1 + D,B) [C >= 0 && A >= 1] (?,1) 4. f3(A,B) -> f2(A,B) True (1,1) 5. f2(A,B) -> f300(0,D) [0 >= 1 + A] (?,1) 6. f2(A,B) -> f300(0,D) [A >= 1] (?,1) 7. f2(A,B) -> f300(A,D) [A = 0] (?,1) Signature: {(f2,2);(f3,2);(f300,2)} Flow Graph: [0->{0,1,2,3,5,6,7},1->{0,1,2,3,5,6,7},2->{0,1,2,3,5,6,7},3->{0,1,2,3,5,6,7},4->{0,1,2,3,5,6,7},5->{} ,6->{},7->{}] + 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) -> f2(-1 + D,B) [0 >= C && 0 >= 1 + A] (?,1) 1. f2(A,B) -> f2(1 + D,B) [C >= 2 && 0 >= 1 + A] (?,1) 2. f2(A,B) -> f2(-1 + D,B) [0 >= 2 + C && A >= 1] (?,1) 3. f2(A,B) -> f2(1 + D,B) [C >= 0 && A >= 1] (?,1) 4. f3(A,B) -> f2(A,B) True (1,1) 5. f2(A,B) -> f300(0,D) [0 >= 1 + A] (1,1) 6. f2(A,B) -> f300(0,D) [A >= 1] (1,1) 7. f2(A,B) -> f300(A,D) [A = 0] (1,1) Signature: {(f2,2);(f3,2);(f300,2)} Flow Graph: [0->{0,1,2,3,5,6,7},1->{0,1,2,3,5,6,7},2->{0,1,2,3,5,6,7},3->{0,1,2,3,5,6,7},4->{0,1,2,3,5,6,7},5->{} ,6->{},7->{}] + Applied Processor: AddSinks + Details: () * Step 3: Failure MAYBE + Considered Problem: Rules: 0. f2(A,B) -> f2(-1 + D,B) [0 >= C && 0 >= 1 + A] (?,1) 1. f2(A,B) -> f2(1 + D,B) [C >= 2 && 0 >= 1 + A] (?,1) 2. f2(A,B) -> f2(-1 + D,B) [0 >= 2 + C && A >= 1] (?,1) 3. f2(A,B) -> f2(1 + D,B) [C >= 0 && A >= 1] (?,1) 4. f3(A,B) -> f2(A,B) True (1,1) 5. f2(A,B) -> f300(0,D) [0 >= 1 + A] (?,1) 6. f2(A,B) -> f300(0,D) [A >= 1] (?,1) 7. f2(A,B) -> f300(A,D) [A = 0] (?,1) 8. f2(A,B) -> exitus616(A,B) True (?,1) Signature: {(exitus616,2);(f2,2);(f3,2);(f300,2)} Flow Graph: [0->{0,1,2,3,5,6,7,8},1->{0,1,2,3,5,6,7,8},2->{0,1,2,3,5,6,7,8},3->{0,1,2,3,5,6,7,8},4->{0,1,2,3,5,6,7,8} ,5->{},6->{},7->{},8->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8] | `- p:[0,1,2,3] c: [] MAYBE