NO
* Step 1: UnsatPaths NO
    + Considered Problem:
        Rules:
          0. f8(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)  -> f8(A,B,B,B,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1)                           [A >= 1 + B]                               (?,1)
          1. f8(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)  -> f8(A,B,B,B,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1)                           [B >= 1 + A]                               (?,1)
          2. f2(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)  -> f2(A,B,C,D,E,B1,-1 + G,1 + H,1 + H,-1 + G,C1,D1,-1 + G,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1) [E >= 1 + F && G >= 1 && H >= 0]           (?,1)
          3. f2(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)  -> f2(A,B,C,D,E,B1,-1 + G,1 + H,1 + H,-1 + G,C1,D1,-1 + G,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1) [F >= 1 + E && G >= 1 && H >= 0]           (?,1)
          4. f23(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) -> f2(A,B,C,D,E,B1,2,1,1,2,K,L,M,2,C1,D1,F1,G1,G1,G1,G1,H1,I1,2,J1,0,A1)                [E >= 1 + E1]                              (1,1)
          5. f23(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) -> f2(A,B,C,D,E,B1,2,1,1,2,K,L,M,2,C1,D1,F1,G1,G1,G1,G1,H1,I1,2,J1,0,A1)                [E1 >= 1 + E]                              (1,1)
          6. f2(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)  -> f8(A,C1,C1,C1,F,F,G,H,I,J,K,L,M,N,O,P,B1,R,S,T,D1,V,W,X,Y,Z,F1)                      [A >= 1 + C1 && G >= 1 && H >= 0 && F = E] (?,1)
          7. f2(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)  -> f8(A,C1,C1,C1,F,F,G,H,I,J,K,L,M,N,O,P,B1,R,S,T,D1,V,W,X,Y,Z,F1)                      [C1 >= 1 + A && G >= 1 && H >= 0 && F = E] (?,1)
        Signature:
          {(f2,27);(f23,27);(f8,27)}
        Flow Graph:
          [0->{0,1},1->{0,1},2->{2,3,6,7},3->{2,3,6,7},4->{2,3,6,7},5->{2,3,6,7},6->{0,1},7->{0,1}]
        
    + Applied Processor:
        UnsatPaths
    + Details:
        We remove following edges from the transition graph: [(0,1),(1,0),(6,1),(7,0)]
* Step 2: FromIts NO
    + Considered Problem:
        Rules:
          0. f8(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)  -> f8(A,B,B,B,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1)                           [A >= 1 + B]                               (?,1)
          1. f8(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)  -> f8(A,B,B,B,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1)                           [B >= 1 + A]                               (?,1)
          2. f2(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)  -> f2(A,B,C,D,E,B1,-1 + G,1 + H,1 + H,-1 + G,C1,D1,-1 + G,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1) [E >= 1 + F && G >= 1 && H >= 0]           (?,1)
          3. f2(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)  -> f2(A,B,C,D,E,B1,-1 + G,1 + H,1 + H,-1 + G,C1,D1,-1 + G,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1) [F >= 1 + E && G >= 1 && H >= 0]           (?,1)
          4. f23(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) -> f2(A,B,C,D,E,B1,2,1,1,2,K,L,M,2,C1,D1,F1,G1,G1,G1,G1,H1,I1,2,J1,0,A1)                [E >= 1 + E1]                              (1,1)
          5. f23(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) -> f2(A,B,C,D,E,B1,2,1,1,2,K,L,M,2,C1,D1,F1,G1,G1,G1,G1,H1,I1,2,J1,0,A1)                [E1 >= 1 + E]                              (1,1)
          6. f2(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)  -> f8(A,C1,C1,C1,F,F,G,H,I,J,K,L,M,N,O,P,B1,R,S,T,D1,V,W,X,Y,Z,F1)                      [A >= 1 + C1 && G >= 1 && H >= 0 && F = E] (?,1)
          7. f2(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)  -> f8(A,C1,C1,C1,F,F,G,H,I,J,K,L,M,N,O,P,B1,R,S,T,D1,V,W,X,Y,Z,F1)                      [C1 >= 1 + A && G >= 1 && H >= 0 && F = E] (?,1)
        Signature:
          {(f2,27);(f23,27);(f8,27)}
        Flow Graph:
          [0->{0},1->{1},2->{2,3,6,7},3->{2,3,6,7},4->{2,3,6,7},5->{2,3,6,7},6->{0},7->{1}]
        
    + Applied Processor:
        FromIts
    + Details:
        ()
* Step 3: CloseWith NO
    + Considered Problem:
        Rules:
          f8(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)   -> f8(A,B,B,B,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T
          ,U,V,W,X,Y,Z
          ,A1)                                                                                                                                                   
          [A >= 1 + B]
          f8(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)   -> f8(A,B,B,B,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U
          ,V,W,X,Y,Z
          ,A1)                                                                                                                                                   
          [B >= 1 + A]
          f2(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)   -> f2(A,B,C,D,E,B1,-1 + G,1 + H,1 + H,-1 + G,C1
          ,D1,-1 + G,N,O,P,Q,R,S,T,U,V,W,X,Y,Z
          ,A1)                                                                                                                                                   
          [E >= 1 + F && G >= 1 && H >= 0]
          f2(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)   -> f2(A,B,C,D,E,B1,-1 + G,1 + H,1 + H,-1 + G,C1
          ,D1,-1 + G,N,O,P,Q,R,S,T,U,V,W,X,Y,Z
          ,A1)                                                                                                                                                   
          [F >= 1 + E && G >= 1 && H >= 0]
          f23(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)  -> f2(A,B,C,D,E,B1,2,1,1,2,K,L,M,2,C1,D1,F1,G1
          ,G1,G1,G1,H1,I1,2,J1,0
          ,A1)                                                                                                                                                   
          [E >= 1 + E1]
          f23(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)  -> f2(A,B,C,D,E,B1,2,1,1,2,K,L,M,2,C1,D1,F1,G1
          ,G1,G1,G1,H1,I1,2,J1,0
          ,A1)                                                                                                                                                   
          [E1 >= 1 + E]
          f2(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)   -> f8(A,C1,C1,C1,F,F,G,H,I,J,K,L,M,N,O,P,B1,R,S
          ,T,D1,V,W,X,Y,Z
          ,F1)                                                                                                                                                   
          [A >= 1 + C1 && G >= 1 && H >= 0 && F = E]
          f2(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)   -> f8(A,C1,C1,C1,F,F,G,H,I,J,K,L,M,N,O,P,B1,R,S
          ,T,D1,V,W,X,Y,Z
          ,F1)                                                                                                                                                   
          [C1 >= 1 + A && G >= 1 && H >= 0 && F = E]
        Signature:
          {(f2,27);(f23,27);(f8,27)}
        Rule Graph:
          [0->{0},1->{1},2->{2,3,6,7},3->{2,3,6,7},4->{2,3,6,7},5->{2,3,6,7},6->{0},7->{1}]
    + Applied Processor:
        CloseWith False
    + Details:
        ()

NO