YES
TRS:
 {and(not(not(x)), y, not(z)) -> and(y, band(x, z), x)}
 DP:
  Strict:
   {and#(not(not(x)), y, not(z)) -> and#(y, band(x, z), x)}
  Weak:
  {and(not(not(x)), y, not(z)) -> and(y, band(x, z), x)}
  EDG:
   {(and#(not(not(x)), y, not(z)) -> and#(y, band(x, z), x), and#(not(not(x)), y, not(z)) -> and#(y, band(x, z), x))}
   SCCS:
    Scc:
     {and#(not(not(x)), y, not(z)) -> and#(y, band(x, z), x)}
    SCC:
     Strict:
      {and#(not(not(x)), y, not(z)) -> and#(y, band(x, z), x)}
     Weak:
     {and(not(not(x)), y, not(z)) -> and(y, band(x, z), x)}
     POLY:
      Argument Filtering:
       pi(not) = [], pi(band) = [], pi(and#) = [0,1], pi(and) = []
      Usable Rules:
       {}
      Interpretation:
       [and#](x0, x1) = x0 + x1,
       [band] = 0,
       [not] = 1
      Strict:
       {}
      Weak:
       {and(not(not(x)), y, not(z)) -> and(y, band(x, z), x)}
      Qed