YES
Time: 1.107

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:
   b ~ a ~ zero ~ i ~ pAC
   weight function:
    [b] = 1,
    
    [a] = 4,
    
    [zero] = 4,
    
    [i](x0) = 6x0 + 6,
    
    [pAC](x0, x1) = x0 + x1 + 1
   problem:
    Equations:
     
    TRS:
     
   Qed