YES
Time: 0.011

Problem:
 Equations:
  
 TRS:
  g(fAC(x,y)) -> fAC(g(x),g(y))
  fAC(g(a()),g(a())) -> fAC(a(),g(g(a())))

Proof:
 AC-KBO Processor:
  precedence:
   g > a > fAC
   weight function:
    w0 = 8
    w(a) = 9
    w(g) = w(fAC) = 0
   problem:
    Equations:
     
    TRS:
     
   Qed