Did I recognise the mate pattern ?

I played a short online blitz game yesterday, the first time in a few weeks that I have played online.

We reached this position after 11...a6 was played 

I think it was the below chesstempo problem that I had recalled, consciously or not

Start of problem : White to play

..since after 2.Qxc6 Bxd5 3.Bxb7+ Kb8 4.Ba7+ Kxa7 5.Qa6+ Kb8 6.Qa8#. 

It ends with a Queen and Bishop mate.

How did my game continue ? Obviously, I took the knight, and Black should have accepted the loss and played the Queen out of danger with Qe6. Instead he re-captured on c6 with the b-pawn

After 12...bxc

The rest was simple 13.Bxa6+ Kb8 14. Qb3+ Ka7 with 15. Qb7#

15. Qb7#

Evidently the mate was straightforward and may have nothing to do with solving problems with Queen and Bishop mate, but I'm sure there is some connection.