YES
Time: 0.061

Problem:
 Equations:
  pAC(pAC(x3,x4),x5) -> pAC(x3,pAC(x4,x5))
  pAC(x3,x4) -> pAC(x4,x3)
  pAC(x3,pAC(x4,x5)) -> pAC(pAC(x3,x4),x5)
  pAC(x4,x3) -> pAC(x3,x4)
 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] = 11,
    
    [a] = 13,
    
    [zero] = 2,
    
    [i](x0) = 7x0 + 6,
    
    [pAC](x0, x1) = x0 + x1 + 5
   problem:
    Equations:
     pAC(pAC(x3,x4),x5) -> pAC(x3,pAC(x4,x5))
     pAC(x3,x4) -> pAC(x4,x3)
     pAC(x3,pAC(x4,x5)) -> pAC(pAC(x3,x4),x5)
     pAC(x4,x3) -> pAC(x3,x4)
    TRS:
     
   Qed