I see some insurmountable contradictions with this program.

They ask for solutions to some very complex problems yet give very little funds to do so. For that amount the most a startup can do is come up with the principles for a potentially workable solution for the problem, but not an actual execution to see if it's effective at all in a real-world basis. Let alone there are plenty of such theoretical solutions to the problems they name, there just isn't enough money to implement them.