YES
Input TRS:
      1: a(c(d(x))) -> c(x)
      2: u(b(d(d(x)))) -> b(x)
      3: v(a(a(x))) -> u(v(x))
      4: v(a(c(x))) -> u(b(d(x)))
      5: v(c(x)) -> b(x)
      6: w(a(a(x))) -> u(w(x))
      7: w(a(c(x))) -> u(b(d(x)))
      8: w(c(x)) -> b(x)
Number of strict rules: 8
Direct POLO(bPol) ... removes: 4 8 1 3 5 7 6 2
      a 	w: 2 * x1 + 21239
      d 	w: 2 * x1 + 20566
      v 	w: 2 * x1 + 1
      b 	w: 2 * x1
      u 	w: 2 * x1 + 35422
      w 	w: 2 * x1 + 92011
      c 	w: 2 * x1 + 18802
Number of strict rules: 0