YES
Time: 1.185

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

Proof:
 AC-KBO Processor:
  precedence:
   pAC > a > i > zero > b
   weight function:
    [b] = 5,
    
    [a] = 2,
    
    [zero] = 14,
    
    [i](x0) = 3x0 + 14,
    
    [pAC](x0, x1) = x0 + x1
   problem:
    Equations:
     
    TRS:
     
   Qed