YES
O(n^2)
TRS:
 {
                    f(x, x, y) -> x,
                    f(x, y, y) -> y,
                 f(x, y, g(y)) -> x,
  f(f(x, y, z), u, f(x, y, v)) -> f(x, y, f(z, u, v)),
                 f(g(x), x, y) -> y
 }
 Natural interpretation:
  Strict:
   {
                      f(x, x, y) -> x,
                      f(x, y, y) -> y,
                   f(x, y, g(y)) -> x,
    f(f(x, y, z), u, f(x, y, v)) -> f(x, y, f(z, u, v)),
                   f(g(x), x, y) -> y
   }
  Weak:
   {}
  Interpretation class: deltarestricted
  [g](delta, X0) = + 1*X0 + 0 + 0*X0*delta + 0*delta
  [f](delta, X2, X1, X0) = + 1*X0 + 1*X1 + 1*X2 + 0 + 0*X0*delta + 0*X1*delta + 0*X2*delta + 1*delta
  g_tau_1(delta) = delta/(1 + 0 * delta)
  f_tau_1(delta) = delta/(1 + 0 * delta)f_tau_2(delta) = delta/(1 + 0 * delta)f_tau_3(delta) = delta/(1 + 0 * delta)
  
  Qed