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