"accept that it *cannot* work, whether I want it to or not." If you accept if cannot work, it won't work.
At some point, though, you'll have to talk about the lying issue, since it seems to be a deal breaker for you (it is for me, too.) But now it's not the best time for that.
We all have trouble when someone doesn't see things our way. It's part of being human. A good thing to do is try to figure out why he says the things he says. Try to put yourself in his shoes.