NO * Step 1: UnsatPaths NO + Considered Problem: Rules: 0. f12(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [A >= 1 + B] (?,1) 1. f12(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [B >= 1 + A] (?,1) 2. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [A >= 1 + B] (?,1) 3. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [B >= 1 + A] (?,1) 4. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,H1,F,1 + G,-1 + H,1 + G,-1 + H,F1,G1,-1 + H,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [E >= 1 + F && G >= 0 && H >= 1] (?,1) 5. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,H1,F,1 + G,-1 + H,1 + G,-1 + H,F1,G1,-1 + H,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [F >= 1 + E && G >= 0 && H >= 1] (?,1) 6. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,L1,F,1,4,1,4,K,L,M,F1,2,3,G1,H1,4,J1,0,K1,M1,M1,M1,M1,N1,O1,P1,4,E1) [I1 >= 1 + F] (1,1) 7. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,L1,F,1,4,1,4,K,L,M,F1,2,3,G1,H1,4,J1,0,K1,M1,M1,M1,M1,N1,O1,P1,4,E1) [F >= 1 + I1] (1,1) 8. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f12(J1,B,J1,J1,E,E,G,H,I,J,K,L,M,F1,O,P,Q,R,S,T,U,V,W,X,Y,G1,A1,B1,C1,D1,H1) [J1 >= 1 + B && G >= 0 && H >= 1 && E = F] (?,1) 9. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f12(J1,B,J1,J1,E,E,G,H,I,J,K,L,M,F1,O,P,Q,R,S,T,U,V,W,X,Y,G1,A1,B1,C1,D1,H1) [B >= 1 + J1 && G >= 0 && H >= 1 && E = F] (?,1) Signature: {(f11,31);(f12,31);(f26,31);(f6,31)} Flow Graph: [0->{2,3},1->{2,3},2->{2,3},3->{2,3},4->{4,5,8,9},5->{4,5,8,9},6->{4,5,8,9},7->{4,5,8,9},8->{0,1},9->{0 ,1}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,3),(1,2),(2,3),(3,2),(8,1),(9,0)] * Step 2: FromIts NO + Considered Problem: Rules: 0. f12(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [A >= 1 + B] (?,1) 1. f12(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [B >= 1 + A] (?,1) 2. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [A >= 1 + B] (?,1) 3. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [B >= 1 + A] (?,1) 4. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,H1,F,1 + G,-1 + H,1 + G,-1 + H,F1,G1,-1 + H,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [E >= 1 + F && G >= 0 && H >= 1] (?,1) 5. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,H1,F,1 + G,-1 + H,1 + G,-1 + H,F1,G1,-1 + H,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) [F >= 1 + E && G >= 0 && H >= 1] (?,1) 6. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,L1,F,1,4,1,4,K,L,M,F1,2,3,G1,H1,4,J1,0,K1,M1,M1,M1,M1,N1,O1,P1,4,E1) [I1 >= 1 + F] (1,1) 7. f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,L1,F,1,4,1,4,K,L,M,F1,2,3,G1,H1,4,J1,0,K1,M1,M1,M1,M1,N1,O1,P1,4,E1) [F >= 1 + I1] (1,1) 8. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f12(J1,B,J1,J1,E,E,G,H,I,J,K,L,M,F1,O,P,Q,R,S,T,U,V,W,X,Y,G1,A1,B1,C1,D1,H1) [J1 >= 1 + B && G >= 0 && H >= 1 && E = F] (?,1) 9. f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f12(J1,B,J1,J1,E,E,G,H,I,J,K,L,M,F1,O,P,Q,R,S,T,U,V,W,X,Y,G1,A1,B1,C1,D1,H1) [B >= 1 + J1 && G >= 0 && H >= 1 && E = F] (?,1) Signature: {(f11,31);(f12,31);(f26,31);(f6,31)} Flow Graph: [0->{2},1->{3},2->{2},3->{3},4->{4,5,8,9},5->{4,5,8,9},6->{4,5,8,9},7->{4,5,8,9},8->{0},9->{1}] + Applied Processor: FromIts + Details: () * Step 3: CloseWith NO + Considered Problem: Rules: f12(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M ,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1 ,E1) [A >= 1 + B] f12(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M,N ,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1 ,E1) [B >= 1 + A] f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M,N ,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1 ,E1) [A >= 1 + B] f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f11(A,B,A,A,E,F,G,H,I,J,K,L,M,N ,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1 ,E1) [B >= 1 + A] f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,H1,F,1 + G,-1 + H ,1 + G,-1 + H,F1,G1,-1 + H,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1 ,E1) [E >= 1 + F && G >= 0 && H >= 1] f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,H1,F,1 + G,-1 + H ,1 + G,-1 + H,F1,G1,-1 + H,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1 ,E1) [F >= 1 + E && G >= 0 && H >= 1] f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,L1,F,1,4,1,4,K,L,M ,F1,2,3,G1,H1,4,J1,0,K1,M1,M1,M1,M1,N1,O1,P1,4 ,E1) [I1 >= 1 + F] f26(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f6(A,B,C,D,L1,F,1,4,1,4,K,L,M ,F1,2,3,G1,H1,4,J1,0,K1,M1,M1,M1,M1,N1,O1,P1,4 ,E1) [F >= 1 + I1] f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f12(J1,B,J1,J1,E,E,G,H,I,J,K,L ,M,F1,O,P,Q,R,S,T,U,V,W,X,Y,G1,A1,B1,C1,D1 ,H1) [J1 >= 1 + B && G >= 0 && H >= 1 && E = F] f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1) -> f12(J1,B,J1,J1,E,E,G,H,I,J,K,L ,M,F1,O,P,Q,R,S,T,U,V,W,X,Y,G1,A1,B1,C1,D1 ,H1) [B >= 1 + J1 && G >= 0 && H >= 1 && E = F] Signature: {(f11,31);(f12,31);(f26,31);(f6,31)} Rule Graph: [0->{2},1->{3},2->{2},3->{3},4->{4,5,8,9},5->{4,5,8,9},6->{4,5,8,9},7->{4,5,8,9},8->{0},9->{1}] + Applied Processor: CloseWith False + Details: () NO