MAYBE
Time: 0.011

Problem:
 Equations:
  
 TRS:
  minus(x,0()) -> x
  minus(s(x),s(y)) -> minus(x,y)
  minus(minus(x,y),z) -> minus(x,plusAC(y,z))
  quot(0(),s(y)) -> 0()
  quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
  plusAC(0(),y) -> y
  plusAC(s(x),y) -> s(plusAC(x,y))
  app(nil(),k) -> k
  app(l,nil()) -> l
  app(cons(x,l),k) -> cons(x,app(l,k))
  sum(cons(x,nil())) -> cons(x,nil())
  sum(cons(x,cons(y,l))) -> sum(cons(plusAC(x,y),l))
  sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k)))))

Proof:
 Open