YES
Time: 0.003269
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)}
   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:
       
     Qed