the treadmill moving will not keep the plane from moving, its a simple free body diagram the only thing keeping the plane from moving is the friction of the wheel bearings no which is negligible compared to the thrust provided by the engines. you can move that treadmill however fast you want (say the treadmill is as long as the runway) the wheels would be going twice as fast as whatever speed it needs to take off but it will still take off. the only way you would keep the plane from moving is to somehow resist the thrust.