NO * Step 1: UnsatPaths NO + Considered Problem: Rules: 0. f3(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f2(-1 + A,D,C) [D >= 1 && A >= 0] (?,1) 2. f2(A,B,C) -> f2(-1 + A,D,C) [0 >= 1 + D && A >= 0] (?,1) 3. f2(A,B,C) -> f2(A,0,C) [A >= 0] (?,1) 4. f2(A,B,C) -> f300(A,B,D) [0 >= 1 + A] (?,1) Signature: {(f2,3);(f3,3);(f300,3)} 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: [(3,4)] * Step 2: FromIts NO + Considered Problem: Rules: 0. f3(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f2(-1 + A,D,C) [D >= 1 && A >= 0] (?,1) 2. f2(A,B,C) -> f2(-1 + A,D,C) [0 >= 1 + D && A >= 0] (?,1) 3. f2(A,B,C) -> f2(A,0,C) [A >= 0] (?,1) 4. f2(A,B,C) -> f300(A,B,D) [0 >= 1 + A] (?,1) Signature: {(f2,3);(f3,3);(f300,3)} Flow Graph: [0->{1,2,3,4},1->{1,2,3,4},2->{1,2,3,4},3->{1,2,3},4->{}] + Applied Processor: FromIts + Details: () * Step 3: CloseWith NO + Considered Problem: Rules: f3(A,B,C) -> f2(A,B,C) True f2(A,B,C) -> f2(-1 + A,D,C) [D >= 1 && A >= 0] f2(A,B,C) -> f2(-1 + A,D,C) [0 >= 1 + D && A >= 0] f2(A,B,C) -> f2(A,0,C) [A >= 0] f2(A,B,C) -> f300(A,B,D) [0 >= 1 + A] Signature: {(f2,3);(f3,3);(f300,3)} Rule Graph: [0->{1,2,3,4},1->{1,2,3,4},2->{1,2,3,4},3->{1,2,3},4->{}] + Applied Processor: CloseWith False + Details: () NO