Presumably the answer you're looking for here is that the magnetic repulsion of the magnet is at least equal to the attraction for its mass caused by gravitational forces.
This is all well and good, but it does not 'disprove' the existence of pulling forces any more than cats disprove the existence of dogs.
Although to be perfectly fair, I know where you are coming from when you say that there is no such thing as a pulling force - it's a lingual concept we made up to explain pushless pushing.