MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f4(A) -> f12(A) [A >= 4] (?,1) 1. f4(A) -> f4(1) [0 >= A && 3 >= A] (?,1) 2. f4(A) -> f4(1 + A) [3 >= A && A >= 1] (?,1) 3. f0(A) -> f4(B) True (1,1) Signature: {(f0,1);(f12,1);(f4,1)} Flow Graph: [0->{},1->{0,1,2},2->{0,1,2},3->{0,1,2}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,0),(1,1),(2,1)] * Step 2: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f4(A) -> f12(A) [A >= 4] (?,1) 1. f4(A) -> f4(1) [0 >= A && 3 >= A] (?,1) 2. f4(A) -> f4(1 + A) [3 >= A && A >= 1] (?,1) 3. f0(A) -> f4(B) True (1,1) Signature: {(f0,1);(f12,1);(f4,1)} Flow Graph: [0->{},1->{2},2->{0,2},3->{0,1,2}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 3: Failure MAYBE + Considered Problem: Rules: 0. f4(A) -> f12(A) [A >= 4] (1,1) 1. f4(A) -> f4(1) [0 >= A && 3 >= A] (1,1) 2. f4(A) -> f4(1 + A) [3 >= A && A >= 1] (?,1) 3. f0(A) -> f4(B) True (1,1) Signature: {(f0,1);(f12,1);(f4,1)} Flow Graph: [0->{},1->{2},2->{0,2},3->{0,1,2}] + Applied Processor: Failing "Open problems left." + Details: Open problems left. MAYBE