NO
* Step 1: FromIts NO
    + Considered Problem:
        Rules:
          0. f4(A,B,C,D,E)  -> f5(A,1,C,D,E)     [2 + -1*C >= 0 && A + -1*C >= 0 && -2 + C >= 0 && -4 + A + C >= 0 && -2 + A >= 0 && A >= 2] (?,1)
          1. f30(A,B,C,D,E) -> f4(2,B,2,F,E)     True                                                                                        (1,1)
          2. f5(A,B,C,D,E)  -> f4(1 + A,B,C,F,E) [2 + -1*C >= 0                                                                              (?,1)
                                                  && 1 + B + -1*C >= 0                                                                            
                                                  && 3 + -1*B + -1*C >= 0                                                                         
                                                  && A + -1*C >= 0                                                                                
                                                  && -2 + C >= 0                                                                                  
                                                  && -3 + B + C >= 0                                                                              
                                                  && -1 + -1*B + C >= 0                                                                           
                                                  && -4 + A + C >= 0                                                                              
                                                  && 1 + -1*B >= 0                                                                                
                                                  && -1 + A + -1*B >= 0                                                                           
                                                  && -1 + B >= 0                                                                                  
                                                  && -3 + A + B >= 0                                                                              
                                                  && -2 + A >= 0                                                                                  
                                                  && F >= 1]                                                                                      
        Signature:
          {(f30,5);(f4,5);(f5,5)}
        Flow Graph:
          [0->{2},1->{0},2->{0}]
        
    + Applied Processor:
        FromIts
    + Details:
        ()
* Step 2: CloseWith NO
    + Considered Problem:
        Rules:
          f4(A,B,C,D,E)  -> f5(A,1,C,D,E)      [2 + -1*C >= 0
                                                && A + -1*C >= 0
                                                && -2 + C >= 0
                                                && -4 + A + C >= 0
                                                && -2 + A >= 0
                                                && A >= 2]
          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)  [2 + -1*C >= 0
                                                && 1 + B + -1*C >= 0
                                                && 3 + -1*B + -1*C >= 0
                                                && A + -1*C >= 0
                                                && -2 + C >= 0
                                                && -3 + B + C >= 0
                                                && -1 + -1*B + C >= 0
                                                && -4 + A + C >= 0
                                                && 1 + -1*B >= 0
                                                && -1 + A + -1*B >= 0
                                                && -1 + B >= 0
                                                && -3 + A + B >= 0
                                                && -2 + A >= 0
                                                && F >= 1]
        Signature:
          {(f30,5);(f4,5);(f5,5)}
        Rule Graph:
          [0->{2},1->{0},2->{0}]
    + Applied Processor:
        CloseWith False
    + Details:
        ()

NO