YES
Input TRS:
      1: and(not(not(x)),y,not(z)) -> and(y,band(x,z),x)
Number of strict rules: 1
Direct POLO(bPol) ... removes: 1
      and	w: 2 * x1 + 2 * x2 + 2 * x3 + 8365
      band	w: 2 * x1 + 2 * x2 + 1
      not	w: 2 * x1 + 1
Number of strict rules: 0