YES
Time: 0.011

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-RPO Processor:
  precedence:
   g > fAC > h
  status:
   
  problem:
   Equations:
    
   TRS:
    
  Qed