NO * Step 1: UnsatPaths NO + Considered Problem: Rules: 0. f0(A,B) -> f3(0,B) True (1,1) 1. f3(A,B) -> f3(1 + C,B) [A = 5] (?,1) 2. f3(A,B) -> f3(1 + A,A) [9 >= A && 4 >= A] (?,1) 3. f3(A,B) -> f3(1 + A,A) [9 >= A && A >= 6] (?,1) 4. f3(A,B) -> f12(A,B) [A >= 10] (?,1) Signature: {(f0,2);(f12,2);(f3,2)} Flow Graph: [0->{1,2,3,4},1->{1,2,3,4},2->{1,2,3,4},3->{1,2,3,4},4->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,1),(0,3),(0,4),(2,3),(2,4),(3,1),(3,2)] * Step 2: FromIts NO + Considered Problem: Rules: 0. f0(A,B) -> f3(0,B) True (1,1) 1. f3(A,B) -> f3(1 + C,B) [A = 5] (?,1) 2. f3(A,B) -> f3(1 + A,A) [9 >= A && 4 >= A] (?,1) 3. f3(A,B) -> f3(1 + A,A) [9 >= A && A >= 6] (?,1) 4. f3(A,B) -> f12(A,B) [A >= 10] (?,1) Signature: {(f0,2);(f12,2);(f3,2)} Flow Graph: [0->{2},1->{1,2,3,4},2->{1,2},3->{3,4},4->{}] + Applied Processor: FromIts + Details: () * Step 3: CloseWith NO + Considered Problem: Rules: f0(A,B) -> f3(0,B) True f3(A,B) -> f3(1 + C,B) [A = 5] f3(A,B) -> f3(1 + A,A) [9 >= A && 4 >= A] f3(A,B) -> f3(1 + A,A) [9 >= A && A >= 6] f3(A,B) -> f12(A,B) [A >= 10] Signature: {(f0,2);(f12,2);(f3,2)} Rule Graph: [0->{2},1->{1,2,3,4},2->{1,2},3->{3,4},4->{}] + Applied Processor: CloseWith False + Details: () NO