YES
Time: 0.004086
TRS:
 {f g X -> g f f X,
  f h X -> h g X}
 DP:
  DP:
   {f# g X -> f# X,
    f# g X -> f# f X}
  TRS:
  {f g X -> g f f X,
   f h X -> h g X}
  EDG:
   {(f# g X -> f# X, f# g X -> f# f X)
    (f# g X -> f# X, f# g X -> f# X)
    (f# g X -> f# f X, f# g X -> f# X)
    (f# g X -> f# f X, f# g X -> f# f X)}
   EDG:
    {(f# g X -> f# X, f# g X -> f# f X)
     (f# g X -> f# X, f# g X -> f# X)
     (f# g X -> f# f X, f# g X -> f# X)
     (f# g X -> f# f X, f# g X -> f# f X)}
    EDG:
     {(f# g X -> f# X, f# g X -> f# f X)
      (f# g X -> f# X, f# g X -> f# X)
      (f# g X -> f# f X, f# g X -> f# X)
      (f# g X -> f# f X, f# g X -> f# f X)}
     EDG:
      {(f# g X -> f# X, f# g X -> f# f X)
       (f# g X -> f# X, f# g X -> f# X)
       (f# g X -> f# f X, f# g X -> f# X)
       (f# g X -> f# f X, f# g X -> f# f X)}
      STATUS:
       arrows: 0.000000
       SCCS (1):
        Scc:
         {f# g X -> f# X,
          f# g X -> f# f X}
        
        SCC (2):
         Strict:
          {f# g X -> f# X,
           f# g X -> f# f X}
         Weak:
         {f g X -> g f f X,
          f h X -> h g X}
         POLY:
          Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
          Interpretation:
           [g](x0) = x0 + 1,
           
           [f](x0) = x0,
           
           [h](x0) = 0,
           
           [f#](x0) = x0
          Strict:
           f# g X -> f# f X
           1 + 1X >= 0 + 1X
           f# g X -> f# X
           1 + 1X >= 0 + 1X
          Weak:
           f h X -> h g X
           0 + 0X >= 0 + 0X
           f g X -> g f f X
           1 + 1X >= 1 + 1X
         Qed