And BTW, the advice given to most women on MN is to stay in the house, don't disrupt the children's lives, get an occupation order. That he wanted to leave so let him worry about where he'll live, that he can find a bedsit, etc.
In this case, she didn't denigrate her "D"H. She specifically said she was panicking.
It was HIS idea to leave.
He was renting somewhere else and didn't need to move.
He made sure to do this before the financial settlement.
He hadn't yet disclosed the value of his business.
He won't tell OP how he paid for the house.
A logical assumption is that he either removed money from his business or cashed in his pension.
It seems clear that he was trying to remove assets to avoid an equitable settlement.
OP, you've gotten a lot of good advice. People are right to tell you to see your solicitor, get a copy of the land document from the Land Registry. Undoubtedly both your current credit histories will be looked at when settling finances, which is another way to be sure he hasn't run up debt in your name.
If I could add anything it would be to stop asking him. It seems clear he's not going to tell you, so for your own peace of mind let your solicitor handle getting that information.
Good luck and let all that good advice sink in so you can sleep tonight. 