YES
Time: 0.000604
TRS:
 {f g x -> g g g x,
  f g x -> g g f x}
 DP:
  DP:
   {f# g x -> f# x}
  TRS:
  {f g x -> g g g x,
   f g x -> g g f x}
  EDG:
   {(f# g x -> f# x, f# g x -> f# x)}
   SCCS (1):
    Scc:
     {f# g x -> f# x}
    SCC (1):
     Strict:
      {f# g x -> f# x}
     Weak:
     {f g x -> g g g x,
      f g x -> g g f x}
     SPSC:
      Simple Projection:
       pi(f#) = 0
      Strict:
       {}
      Qed