But that wasn't exactly true, and the Pope seemed to know it.

That was not exactly true, and they both knew it.

That wasn't exactly true, but it seemed like the right thing to say.

That was not exactly true, but Ryan didn't think they needed to know everything.

That's not exactly true, there are comments here, but you have to look carefully to find them.

That was not exactly true, but Janet had done something like it.

This is not exactly true, as neither existed at the time.

This last wasn't exactly true, but Tom wanted to be polite.

That's not exactly true, although David, older by six years, certainly dreamed of being a great author.

Which, it turns out, is not exactly true in the music business.