YES
Time: 0.000614
TRS:
 {f g x -> f a(g g f x, g f x)}
 DP:
  DP:
   {f# g x -> f# x,
    f# g x -> f# a(g g f x, g f x)}
  TRS:
  {f g x -> f a(g g f x, g f x)}
  EDG:
   {(f# g x -> f# x, f# g x -> f# a(g g f x, g f x))
    (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 -> f a(g g f x, g f x)}
     SPSC:
      Simple Projection:
       pi(f#) = 0
      Strict:
       {}
      Qed