YES
Time: 0.236

Problem:
 Equations:
  
 TRS:
  pAC(x,one()) -> x
  pAC(x,x) -> x
  pAC(T(x),x) -> T(x)
  T(pAC(x,T(y))) -> pAC(T(pAC(x,y)),T(y))
  L(pAC(x,T(y))) -> pAC(L(pAC(x,y)),L(y))

Proof:
 AC-KBO Processor:
  precedence:
   one > pAC > L > T
   weight function:
    [L](x0) = 8x0 + 4,
    
    [T](x0) = 4x0 + 3,
    
    [one] = 8,
    
    [pAC](x0, x1) = x0 + x1 + 2
   problem:
    Equations:
     
    TRS:
     
   Qed