YES
TRS:
 {f(g(x), y, y) -> g(f(x, x, y))}
 DP:
  Strict:
   {f#(g(x), y, y) -> f#(x, x, y)}
  Weak:
  {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:
    Scc:
     {f#(g(x), y, y) -> f#(x, x, y)}
    SCC:
     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