YES
Input TRS:
      1: g(x,y) -> x
      2: g(x,y) -> y
      3: f(s(x),y,y) -> f(y,x,s(x))
Number of strict rules: 3
Direct POLO(bPol) ... removes: 1 3 2
      s 	w: 2 * x1 + 1
      f 	w: 2 * x1 + 2 * x2 + x3
      g 	w: x1 + x2 + 1
Number of strict rules: 0