Short checkmate by stockfish level 1, that is not fool's mate.

I managed six moves! http://en.lichess.org/uKrs5BU7mCSU Have a try, see what you get!

I could get Stockfish to checkmate me in 5 moves:
http://en.lichess.org/xuNy181xcm12

Scratch that, 4 moves now! :D
http://en.lichess.org/TSIVxbgXvO0f

Sorry, I failed to see the point in that.

#4

The original post challenges you to make Stockfish level 1 checkmate you in as few moves as possible.

Okay, I see.

Also four moves achieved, on second try: http://en.lichess.org/CVTIGh3iKEyY

You can get 3 if you simply insert an extra move in the so-called Fool's Mate, like I did here:
http://en.lichess.org/wdrFLO47sCeJ

3 moves!

http://en.lichess.org/r4JlCwiPfEiF

http://fr.lichess.org/aQWsR6I9#4
2 moves ;)