What are the odds of you propagating whatever nasties are souring the yeast? For the cost of a bit of yeast I'd say dump it.
If it's in a sealed container, then nothing is "souring" the yeast....there's no mention in the op's post about anything souring it...it's just been sitting in a sealed container not getting used for a year. It's not infection, it's just atrophy more than anything else....
It's like dumping a beer if you think it tastes bad as opposed waiting it out a few and seeing if maybe something good comes of it..It doesn't hurt to try it out...
We're not talking about 5 gallons of precious beer...we're talking, like Conroe said, a small "intro starter," and with luck stepping it up.
If anything the op can answer from experience as opposed to conjecture, the next time this question gets asked...and you know it will get asked again...
But as long as there's a few viable cells, they will reproduce....and it's doubtful that if he properly harvested the cells, and stored them cold, that anything bad is in there...Heck, if you listen to the history of Charlie Papazian's 20+ year old yeast strain (which is now commercially available) it went through a period of infection, and he left it alone for a number of years rather than pitching it out...and overtime the infection died off, leaving the more hardier yeast to survive.
So, it ain't a big loss to test it out, I believe.