YES
TRS:
 {h(x, x) -> x,
  f(x, y) -> h(x, y),
  f(x, y) -> h(y, x)}
 RUF:
  Strict:
   {h(x, x) -> x}
  Weak:
   {}
  RUF:
   Strict:
    {}
   Weak:
    {}
   Qed