YES
TRS:
 {f(g(h(x, y)), f(a(), a())) -> f(h(x, x), g(f(y, a())))}
 DP:
  Strict:
   {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())))}
  Weak:
  {f(g(h(x, y)), f(a(), a())) -> f(h(x, x), g(f(y, a())))}
  EDG:
   {}
   SCCS:
    
    Qed