what would you do?

With most professors that won't fly. They were supose to contact each other and share info. If that didnt happen and the other guy didnt respond, then the professor will question why he didnt come forward with this earlier.

I have ran into situations like this before. Just do the work and tell professor that you no longer want to work with this guy.

I agree with this. Do it all and turn it in, then ask your professor for a different partner and tell him/her why you need another partner.