NO
* Step 1: FromIts NO
    + Considered Problem:
        Rules:
          0. f0(A,B)  -> f7(C,1)  True                                         (1,1)
          1. f7(A,B)  -> f13(0,1) [1 + -1*B >= 0 && -1 + B >= 0 && A = 0]      (?,1)
          2. f7(A,B)  -> f7(C,B)  [1 + -1*B >= 0 && -1 + B >= 0 && A >= 1]     (?,1)
          3. f7(A,B)  -> f7(C,B)  [1 + -1*B >= 0 && -1 + B >= 0 && 0 >= 1 + A] (?,1)
          4. f13(A,B) -> f13(A,B) [1 + -1*B >= 0                               (?,1)
                                   && 1 + A + -1*B >= 0                             
                                   && 1 + -1*A + -1*B >= 0                          
                                   && -1 + B >= 0                                   
                                   && -1 + A + B >= 0                               
                                   && -1 + -1*A + B >= 0                            
                                   && -1*A >= 0                                     
                                   && A >= 0]                                       
        Signature:
          {(f0,2);(f13,2);(f7,2)}
        Flow Graph:
          [0->{1,2,3},1->{4},2->{1,2,3},3->{1,2,3},4->{4}]
        
    + Applied Processor:
        FromIts
    + Details:
        ()
* Step 2: CloseWith NO
    + Considered Problem:
        Rules:
          f0(A,B)  -> f7(C,1)   True
          f7(A,B)  -> f13(0,1)  [1 + -1*B >= 0 && -1 + B >= 0 && A = 0]
          f7(A,B)  -> f7(C,B)   [1 + -1*B >= 0 && -1 + B >= 0 && A >= 1]
          f7(A,B)  -> f7(C,B)   [1 + -1*B >= 0 && -1 + B >= 0 && 0 >= 1 + A]
          f13(A,B) -> f13(A,B)  [1 + -1*B >= 0
                                 && 1 + A + -1*B >= 0
                                 && 1 + -1*A + -1*B >= 0
                                 && -1 + B >= 0
                                 && -1 + A + B >= 0
                                 && -1 + -1*A + B >= 0
                                 && -1*A >= 0
                                 && A >= 0]
        Signature:
          {(f0,2);(f13,2);(f7,2)}
        Rule Graph:
          [0->{1,2,3},1->{4},2->{1,2,3},3->{1,2,3},4->{4}]
    + Applied Processor:
        CloseWith False
    + Details:
        ()

NO