I think we have a consensus here. Don't buy a house. Don't even move out, and don't separate the bedrooms unless you really can't stand to have him laying beside you.
He doesn't want you to move out. He wants to know how you feel about the marriage. "If you think its that far gone, YOU move out." Finding a house, even an apt to rent, is WORK. It requires making DECISIONS. None of which he is willing to do right now, so he puts it all on you.
What led up to this latest situation? Were you asking him to make some changes, maybe go to counseling? This could just be his way of pushing back against those suggestions.
I agree that this is probably MLC, even if there is an OW that you don't know about. If there is OW, then no sex. But if there isn't--why not?
