YES
Input TRS:
      1: a(a(d(d(x1)))) -> d(d(b(b(x1))))
      2: a(a(x1)) -> b(b(b(b(b(b(x1))))))
      3: b(b(d(d(b(b(x1)))))) -> a(a(c(c(x1))))
      4: c(c(x1)) -> d(d(x1))
Number of strict rules: 4
Direct POLO(bPol) ... removes: 4 1 3 2
      a 	w: x1 + 13725
      d 	w: 2 * x1 + 1
      b 	w: x1 + 3431
      c 	w: 2 * x1 + 2287
Number of strict rules: 0