YES
Time: 0.022

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

Proof:
 AC-KBO Processor:
  precedence:
   i > pAC > b ~ a ~ zero
   weight function:
    [b](x0) = x0 + 15,
    
    [a](x0) = x0 + 15,
    
    [i](x0) = x0 + 7,
    
    [zero] = 8,
    
    [pAC](x0, x1) = x0 + x1 + 1
   problem:
    Equations:
     
    TRS:
     
   Qed