YES
Time: 0.296

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

Proof:
 AC-KBO Processor:
  precedence:
   pAC > b ~ a ~ i ~ zero
   weight function:
    [b] = 1,
    
    [a] = 1,
    
    [i](x0) = 8x0 + 2,
    
    [zero] = 2,
    
    [pAC](x0, x1) = x0 + x1
   problem:
    Equations:
     
    TRS:
     
   Qed