di ako engineer, pero i think the plane will fly because forward thrust is dependent on the engines whether propeller or jet acting against the air, and not on the wheels pushing against the ground.
here is the best analogy i saw on the net to explain:
A thought experiment commonly cited in discussions of this question is to imagine you're standing on a health-club treadmill in rollerblades while holding a rope attached to the wall in front of you. The treadmill starts; simultaneously you begin to haul in the rope. Although you'll have to overcome some initial friction tugging you backward, in short order you'll be able to pull yourself forward easily.