NO
* Step 1: UnsatRules NO
    + Considered Problem:
        Rules:
          0. f4(A,B,C,D,E)  -> f5(A,1,C,D,E)      [A >= 2]           (?,1)
          1. f4(A,B,C,D,E)  -> f5(A,0,C,D,E)      [1 >= A]           (?,1)
          2. f30(A,B,C,D,E) -> f4(2,B,2,F,E)      True               (1,1)
          3. f5(A,B,C,D,E)  -> f4(-1 + A,B,C,F,E) [0 >= F && F >= 1] (?,1)
          4. f5(A,B,C,D,E)  -> f4(1 + A,B,C,F,E)  [F >= 1]           (?,1)
          5. f5(A,B,C,D,E)  -> f3(A,B,C,D,0)      [0 >= B]           (?,1)
        Signature:
          {(f3,5);(f30,5);(f4,5);(f5,5)}
        Flow Graph:
          [0->{3,4,5},1->{3,4,5},2->{0,1},3->{0,1},4->{0,1},5->{}]
        
    + Applied Processor:
        UnsatRules
    + Details:
        Following transitions have unsatisfiable constraints and are removed:  [3]
* Step 2: UnsatPaths NO
    + Considered Problem:
        Rules:
          0. f4(A,B,C,D,E)  -> f5(A,1,C,D,E)     [A >= 2] (?,1)
          1. f4(A,B,C,D,E)  -> f5(A,0,C,D,E)     [1 >= A] (?,1)
          2. f30(A,B,C,D,E) -> f4(2,B,2,F,E)     True     (1,1)
          4. f5(A,B,C,D,E)  -> f4(1 + A,B,C,F,E) [F >= 1] (?,1)
          5. f5(A,B,C,D,E)  -> f3(A,B,C,D,0)     [0 >= B] (?,1)
        Signature:
          {(f3,5);(f30,5);(f4,5);(f5,5)}
        Flow Graph:
          [0->{4,5},1->{4,5},2->{0,1},4->{0,1},5->{}]
        
    + Applied Processor:
        UnsatPaths
    + Details:
        We remove following edges from the transition graph: [(0,5),(2,1)]
* Step 3: FromIts NO
    + Considered Problem:
        Rules:
          0. f4(A,B,C,D,E)  -> f5(A,1,C,D,E)     [A >= 2] (?,1)
          1. f4(A,B,C,D,E)  -> f5(A,0,C,D,E)     [1 >= A] (?,1)
          2. f30(A,B,C,D,E) -> f4(2,B,2,F,E)     True     (1,1)
          4. f5(A,B,C,D,E)  -> f4(1 + A,B,C,F,E) [F >= 1] (?,1)
          5. f5(A,B,C,D,E)  -> f3(A,B,C,D,0)     [0 >= B] (?,1)
        Signature:
          {(f3,5);(f30,5);(f4,5);(f5,5)}
        Flow Graph:
          [0->{4},1->{4,5},2->{0},4->{0,1},5->{}]
        
    + Applied Processor:
        FromIts
    + Details:
        ()
* Step 4: CloseWith NO
    + Considered Problem:
        Rules:
          f4(A,B,C,D,E)  -> f5(A,1,C,D,E)      [A >= 2]
          f4(A,B,C,D,E)  -> f5(A,0,C,D,E)      [1 >= A]
          f30(A,B,C,D,E) -> f4(2,B,2,F,E)      True
          f5(A,B,C,D,E)  -> f4(1 + A,B,C,F,E)  [F >= 1]
          f5(A,B,C,D,E)  -> f3(A,B,C,D,0)      [0 >= B]
        Signature:
          {(f3,5);(f30,5);(f4,5);(f5,5)}
        Rule Graph:
          [0->{4},1->{4,5},2->{0},4->{0,1},5->{}]
    + Applied Processor:
        CloseWith False
    + Details:
        ()

NO