YES
Time: 0.000697
TRS:
 {f(g x, y, y) -> g f(x, x, y)}
 DP:
  DP:
   {f#(g x, y, y) -> f#(x, x, y)}
  TRS:
  {f(g x, y, y) -> g f(x, x, y)}
  EDG:
   {(f#(g x, y, y) -> f#(x, x, y), f#(g x, y, y) -> f#(x, x, y))}
   SCCS (1):
    Scc:
     {f#(g x, y, y) -> f#(x, x, y)}
    SCC (1):
     Strict:
      {f#(g x, y, y) -> f#(x, x, y)}
     Weak:
     {f(g x, y, y) -> g f(x, x, y)}
     SPSC:
      Simple Projection:
       pi(f#) = 0
      Strict:
       {}
      Qed