Plane vs. Treadmill Solved II

Ok, since some people were confused by the tape to stop it the plane from falling off, I run the plane at a low throttle to match rolling friction w/ thrust. I then accelerate the treadmill to almost 10 MPH w/o changing the throttle position. Then I throttle it up to prove that the plane can move at the high treadmill speed.

The treadmill does not affect the airplane's performance; this shows that no matter what the treadmill does (accelerate the same as the plane, faster than the plane, or less than the plane) the plane will still move forward.

ORIGINAL QUESTION:
A plane is on a runway that is a giant conveyor belt. As the plane moves, the conveyor will exactly match that speed but in the reverse direction.
Can the plane take off?
Again, the plane will take off.