YES
O(n)
TRS:
 {f(g(x, y), f(y, y)) -> f(g(y, x), y)}
 Natural interpretation:
  Strict:
   {f(g(x, y), f(y, y)) -> f(g(y, x), y)}
  Weak:
   {}
  Interpretation class: stronglylinear
  [g](X1, X0) = + 1*X0 + 1*X1 + 0
  [f](X1, X0) = + 1*X0 + 1*X1 + 1
  
  Qed