I can see where it would take off and I can see where it would not there is just not enough information to say yes or no.

Simply because there were no limits put on the treadmill? And are the wheels totally magically not creating drag? And do the engines have enough power to overcome the weight of the plane dragging on the treadmill?

Hell if there were no limits put on the friction of the wheels on the ground and engines had insane power then yes I believe it could take off.

But this is a fictional situatoin so who is to say there are limits.

[Too much XOC] [Wave]