YES
Time: 0.000399
TRS:
 {f(g h(x, y), f(a(), a())) -> f(h(x, x), g f(y, a()))}
 DP:
  DP:
   {f#(g h(x, y), f(a(), a())) -> f#(y, a()),
    f#(g h(x, y), f(a(), a())) -> f#(h(x, x), g f(y, a()))}
  TRS:
  {f(g h(x, y), f(a(), a())) -> f(h(x, x), g f(y, a()))}
  EDG:
   {}
   SCCS (0):
    
    Qed