YES
Time: 0.109

Problem:
 Equations:
  fAC(fAC(x3,x4),x5) -> fAC(x3,fAC(x4,x5))
  fAC(x3,x4) -> fAC(x4,x3)
  hAC(hAC(x3,x4),x5) -> hAC(x3,hAC(x4,x5))
  hAC(x3,x4) -> hAC(x4,x3)
  fAC(x3,fAC(x4,x5)) -> fAC(fAC(x3,x4),x5)
  fAC(x4,x3) -> fAC(x3,x4)
  hAC(x3,hAC(x4,x5)) -> hAC(hAC(x3,x4),x5)
  hAC(x4,x3) -> hAC(x3,x4)
 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-RPO Processor:
  precedence:
   hAC > fAC > g
  status:
   
  problem:
   Equations:
    fAC(fAC(x3,x4),x5) -> fAC(x3,fAC(x4,x5))
    fAC(x3,x4) -> fAC(x4,x3)
    hAC(hAC(x3,x4),x5) -> hAC(x3,hAC(x4,x5))
    hAC(x3,x4) -> hAC(x4,x3)
    fAC(x3,fAC(x4,x5)) -> fAC(fAC(x3,x4),x5)
    fAC(x4,x3) -> fAC(x3,x4)
    hAC(x3,hAC(x4,x5)) -> hAC(hAC(x3,x4),x5)
    hAC(x4,x3) -> hAC(x3,x4)
   TRS:
    
  Qed