MAYBE * Step 1: AddSinks MAYBE + Considered Problem: Rules: 0. f1(A,B) -> f2(-1 + A,B) [A >= 1] (?,1) 1. f2(A,B) -> f2(-1 + A,1 + B) [A >= 1] (?,1) 2. f999(A,B) -> f1(1,-1 + B) [B >= 1 && A = 0] (1,1) 3. f1(A,B) -> f1(1 + A,-1 + B) [B >= 1] (?,1) 4. f2(A,B) -> f1(1 + A,-1 + B) [B >= 1] (?,1) Signature: {(f1,2);(f2,2);(f999,2)} Flow Graph: [0->{1,4},1->{1,4},2->{0,3},3->{0,3},4->{0,3}] + Applied Processor: AddSinks + Details: () * Step 2: Failure MAYBE + Considered Problem: Rules: 0. f1(A,B) -> f2(-1 + A,B) [A >= 1] (?,1) 1. f2(A,B) -> f2(-1 + A,1 + B) [A >= 1] (?,1) 2. f999(A,B) -> f1(1,-1 + B) [B >= 1 && A = 0] (1,1) 3. f1(A,B) -> f1(1 + A,-1 + B) [B >= 1] (?,1) 4. f2(A,B) -> f1(1 + A,-1 + B) [B >= 1] (?,1) 5. f1(A,B) -> exitus616(A,B) True (?,1) 6. f2(A,B) -> exitus616(A,B) True (?,1) Signature: {(exitus616,2);(f1,2);(f2,2);(f999,2)} Flow Graph: [0->{1,4,6},1->{1,4,6},2->{0,3,5},3->{0,3,5},4->{0,3,5},5->{},6->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6] | `- p:[0,3,4,1] c: [] MAYBE