NO * Step 1: UnsatPaths NO + Considered Problem: Rules: 0. f9(A,B,C,D) -> f15(A,0,E,D) [0 >= A && E >= 1] (?,1) 1. f15(A,B,C,D) -> f15(A,B,C,D) [C >= 1] (?,1) 2. f23(A,B,C,D) -> f23(A,B,C,D) True (?,1) 3. f25(A,B,C,D) -> f28(A,B,C,D) True (?,1) 4. f15(A,B,C,D) -> f9(E,B,C,0) [0 >= C] (?,1) 5. f9(A,B,C,D) -> f23(A,B,C,D) [A >= 1] (?,1) 6. f0(A,B,C,D) -> f9(E,0,C,0) True (1,1) Signature: {(f0,4);(f15,4);(f23,4);(f25,4);(f28,4);(f9,4)} Flow Graph: [0->{1,4},1->{1,4},2->{2},3->{},4->{0,5},5->{2},6->{0,5}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,4),(1,4)] * Step 2: UnreachableRules NO + Considered Problem: Rules: 0. f9(A,B,C,D) -> f15(A,0,E,D) [0 >= A && E >= 1] (?,1) 1. f15(A,B,C,D) -> f15(A,B,C,D) [C >= 1] (?,1) 2. f23(A,B,C,D) -> f23(A,B,C,D) True (?,1) 3. f25(A,B,C,D) -> f28(A,B,C,D) True (?,1) 4. f15(A,B,C,D) -> f9(E,B,C,0) [0 >= C] (?,1) 5. f9(A,B,C,D) -> f23(A,B,C,D) [A >= 1] (?,1) 6. f0(A,B,C,D) -> f9(E,0,C,0) True (1,1) Signature: {(f0,4);(f15,4);(f23,4);(f25,4);(f28,4);(f9,4)} Flow Graph: [0->{1},1->{1},2->{2},3->{},4->{0,5},5->{2},6->{0,5}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [3,4] * Step 3: FromIts NO + Considered Problem: Rules: 0. f9(A,B,C,D) -> f15(A,0,E,D) [0 >= A && E >= 1] (?,1) 1. f15(A,B,C,D) -> f15(A,B,C,D) [C >= 1] (?,1) 2. f23(A,B,C,D) -> f23(A,B,C,D) True (?,1) 5. f9(A,B,C,D) -> f23(A,B,C,D) [A >= 1] (?,1) 6. f0(A,B,C,D) -> f9(E,0,C,0) True (1,1) Signature: {(f0,4);(f15,4);(f23,4);(f25,4);(f28,4);(f9,4)} Flow Graph: [0->{1},1->{1},2->{2},5->{2},6->{0,5}] + Applied Processor: FromIts + Details: () * Step 4: CloseWith NO + Considered Problem: Rules: f9(A,B,C,D) -> f15(A,0,E,D) [0 >= A && E >= 1] f15(A,B,C,D) -> f15(A,B,C,D) [C >= 1] f23(A,B,C,D) -> f23(A,B,C,D) True f9(A,B,C,D) -> f23(A,B,C,D) [A >= 1] f0(A,B,C,D) -> f9(E,0,C,0) True Signature: {(f0,4);(f15,4);(f23,4);(f25,4);(f28,4);(f9,4)} Rule Graph: [0->{1},1->{1},2->{2},5->{2},6->{0,5}] + Applied Processor: CloseWith False + Details: () NO