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