YES
Time: 0.013

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

Proof:
 AC-KBO Processor:
  precedence:
   hAC > fAC > g
   weight function:
    w0 = 8
    w(g) = 6
    w(hAC) = w(fAC) = 0
   problem:
    Equations:
     
    TRS:
     
   Qed