Holy lord, yes I Googled for the picture and picked up some of the details from there, (were you expecting me to sketch you one?), and yes the fifth link is from the website where I picked it up. Do you honestly think I don't know what electrolysis is? Something I was taught 5 years ago in High School?
The energy efficiency for the reduction of oxygen isn't on par with what is needed for widespread adoption of hydrogen fuel cells. (here's an idea, go find out why that's the case, HINT redox)
Yes the efficiency of fuel cells isn't nearly as high as that of non-renewable technology. But we can DEFINITELY provide more energy output than is required for input.
I.e look up the NUMEROUS fuel cell cars/planes/etc in the world. I am a part of the UWA REV team (though admittedly haven't participated in anything for a while), we've successfully proved the viability of fuel cell vehicles.
Here's a link:
http://therevproject.com
I feel like I'm talking to a brick wall.