MAYBE
Time: 0.011

Problem:
 Equations:
  unionAC(unionAC(x3,x4),x5) -> unionAC(x3,unionAC(x4,x5))
  unionAC(x3,x4) -> unionAC(x4,x3)
  interAC(interAC(x3,x4),x5) -> interAC(x3,interAC(x4,x5))
  interAC(x3,x4) -> interAC(x4,x3)
  unionAC(x3,unionAC(x4,x5)) -> unionAC(unionAC(x3,x4),x5)
  unionAC(x4,x3) -> unionAC(x3,x4)
  interAC(x3,interAC(x4,x5)) -> interAC(interAC(x3,x4),x5)
  interAC(x4,x3) -> interAC(x3,x4)
 TRS:
  if(true(),x,y) -> x
  if(false(),x,y) -> y
  eqC(0(),0()) -> true()
  eqC(0(),s(x)) -> false()
  eqC(s(x),s(y)) -> eqC(x,y)
  unionAC(empty(),x) -> x
  interAC(empty(),x) -> empty()
  interAC(unionAC(y,z),x) -> unionAC(interAC(x,y),interAC(x,z))
  interAC(singl(x),singl(y)) -> if(eqC(x,y),singl(x),empty())

Proof:
 Open