I discovered some green in the garage that had been there 10-15 years or so. I think it was Prestone. Used it up in my Metro a couple years ago; it's still in there actually. Haven't had any cooling problems yet.
I would say there is no problem with it being open for that period of time. One the other hand its 1 QT you have (if I read your post correctly) and I would just recycle that and by new AF. It likely that additives have improved in the past 5-7 years.
I think that I would just toss it out. For less than $10 bucks you can get a new (fresh) jug for that new and in warranty ATV. And, like Donald said, the newer stuff may be improved too.