MAYBE
Time: 0.012

Problem:
 Equations:
  
 TRS:
  plusAC(x,0()) -> x
  plusAC(0(),y) -> y
  plusAC(s(x),y) -> s(plusAC(x,y))
  timesAC(0(),y) -> 0()
  timesAC(s(0()),y) -> y
  timesAC(s(x),y) -> plusAC(y,timesAC(x,y))
  div(0(),y) -> 0()
  div(x,y) -> quot(x,y,y)
  quot(0(),s(y),z) -> 0()
  quot(s(x),s(y),z) -> quot(x,y,z)
  quot(x,0(),s(z)) -> s(div(x,s(z)))
  div(div(x,y),z) -> div(x,timesAC(y,z))

Proof:
 Open