YES
Time: 0.285

Problem:
 Equations:
  
 TRS:
  pAC(x,zero()) -> x
  pAC(pAC(pAC(pAC(a(),a()),b()),b()),b()) -> pAC(pAC(pAC(a(),a()),a()),b())
  pAC(pAC(pAC(pAC(a(),a()),a()),a()),b()) -> pAC(pAC(pAC(a(),a()),b()),b())

Proof:
 AC-KBO Processor:
  precedence:
   a > pAC > zero > b
   weight function:
    [b] = 1,
    
    [a] = 13,
    
    [zero] = 4,
    
    [pAC](x0, x1) = x0 + x1 + 14
   problem:
    Equations:
     
    TRS:
     
   Qed