Even Mark Francois would abandon Brexit.
Nobody will win a majority.
They start off in a minority, so they need the DUP, and that goes for whoever wins the leadership. That means no withdrawal agreement.
And parliament has already refused it.
No withdrawal agreement, and no renegotiation.
There are your choices, and one of those things will happen.
Or if parliament refuses to accept a referendum, a general election where we all vote for the party that offers a referendum.
"Those are my principles, and if you don't like them, well, I've got others." - Groucho
The a general election some time in the autumn.