YES
Input TRS:
      1: a(a(x)) -> b(b(x))
      2: b(b(a(x))) -> a(b(b(x)))
Number of strict rules: 2
Direct POLO(bPol) ... removes: 1 2
      a 	w: 2 * x1 + 20978
      b 	w: 2 * x1 + 20977
Number of strict rules: 0