So this is the point were engineers step in and call BS on the physicists and their magic treadmills (seriously, what kind of drivers does that thing have???)
Reading the question statement, the wheels have Forward motion. Forward motion means lift. The plane's engines would have to work a little harder because of some greater rolling resistance though.
Draw a free-body diagram. Taking pure rolling motion (no-slip condition), a point on the wheel in contact with the ground is "not moving" which means the opposite point (ie, the top of the wheel) is moving twice as fast. Its basically an instantaneous speed-lever. For a surface moving backwards "at the same speed as the wheel" (magic treadmills.....), the speed of the ground (-v) is negative that of the hub (v) (the part moving forward). The absolute speed difference is 2*v, and that difference comes out the topside of the wheel giving that point a velocity of 3*v.
The plane will take off, but it won't like you, and your bearings are probably shot.
if you were to turn a go-kart into a glider by attaching wings and accelerate up to flight speed using just the wheels, then no you would not move. however if you were at the top of a long hill, then gravity would propel you downhill and up to flight speed. airplanes don't generally have driven wheels, it is like asking which way the smoke blows from an electric locomotive.
Our first order of business is clearly to build a go-kart the size of a 747!
Here's some funny physics for you. Did you know that motion is impossible? I can prove it.
In order to move from point A to point B, you must first pass through the midpoint between A and B. So the midpoint becomes the new B, and thus you must also pass thru the midpoint between A and the new B. Since there are an infinite number of midpoints, it is impossible to ever get from one point to another, and thus motion is impossible.
Reminds me of a story about an engineer and a mathematician.
Both were invited to take part in an exercise.
They were taken to one end of a 100 yd hallway and a pizza was placed at the other. They were then told that every 5 minutes, they could advance 50% of the distance between them and the pizza.
The mathematician scoffed, said "This is pointless...We'll never actually get to the pizza!", and left.
The proctor asked the engineer "Do you still wish to participate?"
The engineer replied "Absolutely. Before long I'll be within a tight enough tolerance of the solution for any practical purpose!"