YES
Time: 0.015

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

Proof:
 AC-KBO Processor:
  precedence:
   fAC > h ~ g
   weight function:
    w0 = 4
    w(h) = 9
    w(g) = 5
    w(fAC) = 0
   problem:
    Equations:
     
    TRS:
     
   Qed