Definitely more than a year. Even if you're practicing three hours a day. This is coming from someone who's been playing over 13 years and could probably learn the rhythm to that song fairly quickly, though it would take me quite a while to get the solo down. I'm good enough to play something LIKE that solo instantly. I can already play stuff like that.
But the problem with trying to imitate an improvised metal solo like that is that it's not really very structured, and is chock full of minute rhythmic changes and other things which make it very difficult to imitate, even if you're already capable of playing quick legato runs, big vibratoed bends, etc. The rhythm sections pretty much repeat over and over in a straightforward fashion, but the solo's all over the place. Granted, there are some spots where it's going really fast but is really just repeating the same 3-4 notes. Passages like that sound a lot more difficult to play than they actually are.
Anyway, you've already lost that bet, but I wouldn't let that stop you from trying anyway. Win or lose, if you stick with it you could still develop some real guitar skills.