YES
Time: 0.120

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:
   h > g > fAC
   weight function:
    [h](x0) = 2x0 + 2,
    
    [g](x0) = x0 + 2,
    
    [fAC](x0, x1) = x0 + x1 + 1
   problem:
    Equations:
     
    TRS:
     
   Qed