Draw or Win?

I recently had this position in a blitz game. It's black to play. Without using an engine, is it a win for white or a draw?

After 1.Kf3 how does black not get mated?

Im taking white all day.

but it's black to move....

+1

White for the win. I don't think Black can stop the impending mate.

Let's see, I promise I didn't use an engine.

I think I covered everything best I could.

Thats obvious.  If it was white to move it would be a mate in 1.

@Kwolverine04 suggested an interesting idea: 1...Rg1+!? Of course black must play a1Q on the 2nd move instead of 2...Ne5?? After the promotion black has a draw I guess. It's much more interesting if white doesn't capture the rook, not sure if the white king escapes perpetual check.

Ok, white still wins most likely. What's the answer?

I think the answer is what IMBacon said. Kf3. Eventually the white king gets to f3. Then how does black prevent mate? I dont see any possible way.

It's definitely not enough just to say Kf3. We need to calculate all the possible options after 1...Rg1+ 2.Kf3 Ne5+ 3.Ke2 (or 3.fe Rf1+, Rf8 and there's no mate) 3...Re1+ 4.Kxe1 (or 4.Kd2) 4...a1Q+ and the following series of checks.

win

win

win

If the OP was playing someone rated 3400 that's one thing.  But they weren't.

What's the difference who were playing? We're analyzing and trying to find out the truth.

The difference is.  I'm not playing anyone rated 3400, and most likely never will.  I have no desire to try and understand the "truth" behind moves made by something that no human will ever reach in my lifetime.  I'm much more interested in understanding something much more closer to what i will encounter across the board.

There's no difference. When analyzing one should assume that both white and black make the best moves. Carlsen isn't 3400 but always looks for the best moves. I'm not 3400, not Carlsen and still looking for the best moves. That's what chess is about.

How is it going to benefit you trying to find all the best moves?  You cant retain all that information. 

Any by "best" moves.  Do you mean the best engine moves, or the best human move, based on the opponents ability?