NO * Step 1: UnsatPaths NO + Considered Problem: Rules: 0. f18(A,B,C,D,E,F,G,H,I,J,K) -> f24(A,B,C,D,E,F,G,H,I,J,K) [0 >= A] (?,1) 1. f32(A,B,C,D,E,F,G,H,I,J,K) -> f32(A,B,C,D,E,F,G,H,I,J,K) True (?,1) 2. f34(A,B,C,D,E,F,G,H,I,J,K) -> f37(A,B,C,D,E,F,G,H,I,J,K) True (?,1) 3. f24(A,B,C,D,E,F,G,H,I,J,K) -> f32(A,L,C,D,E,F,G,H,I,J,K) [A >= 1] (?,1) 4. f24(A,B,C,D,E,F,G,H,I,J,K) -> f32(A,M,C,L,L,F,G,H,I,J,K) [0 >= A && 999 + C >= L] (?,1) 5. f24(A,B,C,D,E,F,G,H,I,J,K) -> f32(1,M,C,L,L,F,G,H,I,J,K) [0 >= A && L >= 1000 + C] (?,1) 6. f18(A,B,C,D,E,F,G,H,I,J,K) -> f24(0,B,L,D,E,L,G,H,I,J,K) [A >= 1] (?,1) 7. f0(A,B,C,D,E,F,G,H,I,J,K) -> f18(1,B,C,D,E,F,L,M,I,J,K) [0 >= M] (1,1) 8. f0(A,B,C,D,E,F,G,H,I,J,K) -> f18(1,B,C,D,E,F,L,0,1,M,M) [M >= 1 && N >= 1] (1,1) 9. f0(A,B,C,D,E,F,G,H,I,J,K) -> f32(1,B,C,D,E,F,L,0,1,M,M) [0 >= M && N >= 1] (1,1) Signature: {(f0,11);(f18,11);(f24,11);(f32,11);(f34,11);(f37,11)} Flow Graph: [0->{3,4,5},1->{1},2->{},3->{1},4->{1},5->{1},6->{3,4,5},7->{0,6},8->{0,6},9->{1}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,3),(6,3),(7,0),(8,0)] * Step 2: UnreachableRules NO + Considered Problem: Rules: 0. f18(A,B,C,D,E,F,G,H,I,J,K) -> f24(A,B,C,D,E,F,G,H,I,J,K) [0 >= A] (?,1) 1. f32(A,B,C,D,E,F,G,H,I,J,K) -> f32(A,B,C,D,E,F,G,H,I,J,K) True (?,1) 2. f34(A,B,C,D,E,F,G,H,I,J,K) -> f37(A,B,C,D,E,F,G,H,I,J,K) True (?,1) 3. f24(A,B,C,D,E,F,G,H,I,J,K) -> f32(A,L,C,D,E,F,G,H,I,J,K) [A >= 1] (?,1) 4. f24(A,B,C,D,E,F,G,H,I,J,K) -> f32(A,M,C,L,L,F,G,H,I,J,K) [0 >= A && 999 + C >= L] (?,1) 5. f24(A,B,C,D,E,F,G,H,I,J,K) -> f32(1,M,C,L,L,F,G,H,I,J,K) [0 >= A && L >= 1000 + C] (?,1) 6. f18(A,B,C,D,E,F,G,H,I,J,K) -> f24(0,B,L,D,E,L,G,H,I,J,K) [A >= 1] (?,1) 7. f0(A,B,C,D,E,F,G,H,I,J,K) -> f18(1,B,C,D,E,F,L,M,I,J,K) [0 >= M] (1,1) 8. f0(A,B,C,D,E,F,G,H,I,J,K) -> f18(1,B,C,D,E,F,L,0,1,M,M) [M >= 1 && N >= 1] (1,1) 9. f0(A,B,C,D,E,F,G,H,I,J,K) -> f32(1,B,C,D,E,F,L,0,1,M,M) [0 >= M && N >= 1] (1,1) Signature: {(f0,11);(f18,11);(f24,11);(f32,11);(f34,11);(f37,11)} Flow Graph: [0->{4,5},1->{1},2->{},3->{1},4->{1},5->{1},6->{4,5},7->{6},8->{6},9->{1}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [0,2,3] * Step 3: FromIts NO + Considered Problem: Rules: 1. f32(A,B,C,D,E,F,G,H,I,J,K) -> f32(A,B,C,D,E,F,G,H,I,J,K) True (?,1) 4. f24(A,B,C,D,E,F,G,H,I,J,K) -> f32(A,M,C,L,L,F,G,H,I,J,K) [0 >= A && 999 + C >= L] (?,1) 5. f24(A,B,C,D,E,F,G,H,I,J,K) -> f32(1,M,C,L,L,F,G,H,I,J,K) [0 >= A && L >= 1000 + C] (?,1) 6. f18(A,B,C,D,E,F,G,H,I,J,K) -> f24(0,B,L,D,E,L,G,H,I,J,K) [A >= 1] (?,1) 7. f0(A,B,C,D,E,F,G,H,I,J,K) -> f18(1,B,C,D,E,F,L,M,I,J,K) [0 >= M] (1,1) 8. f0(A,B,C,D,E,F,G,H,I,J,K) -> f18(1,B,C,D,E,F,L,0,1,M,M) [M >= 1 && N >= 1] (1,1) 9. f0(A,B,C,D,E,F,G,H,I,J,K) -> f32(1,B,C,D,E,F,L,0,1,M,M) [0 >= M && N >= 1] (1,1) Signature: {(f0,11);(f18,11);(f24,11);(f32,11);(f34,11);(f37,11)} Flow Graph: [1->{1},4->{1},5->{1},6->{4,5},7->{6},8->{6},9->{1}] + Applied Processor: FromIts + Details: () * Step 4: CloseWith NO + Considered Problem: Rules: f32(A,B,C,D,E,F,G,H,I,J,K) -> f32(A,B,C,D,E,F,G,H,I,J,K) True f24(A,B,C,D,E,F,G,H,I,J,K) -> f32(A,M,C,L,L,F,G,H,I,J,K) [0 >= A && 999 + C >= L] f24(A,B,C,D,E,F,G,H,I,J,K) -> f32(1,M,C,L,L,F,G,H,I,J,K) [0 >= A && L >= 1000 + C] f18(A,B,C,D,E,F,G,H,I,J,K) -> f24(0,B,L,D,E,L,G,H,I,J,K) [A >= 1] f0(A,B,C,D,E,F,G,H,I,J,K) -> f18(1,B,C,D,E,F,L,M,I,J,K) [0 >= M] f0(A,B,C,D,E,F,G,H,I,J,K) -> f18(1,B,C,D,E,F,L,0,1,M,M) [M >= 1 && N >= 1] f0(A,B,C,D,E,F,G,H,I,J,K) -> f32(1,B,C,D,E,F,L,0,1,M,M) [0 >= M && N >= 1] Signature: {(f0,11);(f18,11);(f24,11);(f32,11);(f34,11);(f37,11)} Rule Graph: [1->{1},4->{1},5->{1},6->{4,5},7->{6},8->{6},9->{1}] + Applied Processor: CloseWith False + Details: () NO