Trust me when I say 'the plane will not take off'.
0 airspeed = 0 lift.
When you run on a treadmill you remain stationary with reference to the air around you. Same as the plane. It remains effectivly stationary to the air, hence no lift, no matter how fast the engine makes it go , the moving ground counteracts it. No airflow, no lift.
Unless of course it was a harrier, and had some kind of vertical thurst!!