+1 - sounds like a faulty tyre. I went through a batch of cheap vittorias on my single bike that would bulge after one turbo trainer session.
My rule of thumb nowadays is to use the best quality racing tyres and tubes I can afford, since it's about the cheapest way to upgrade the performance of the bike, plus if you save falling off once by having stickier rubber, you've easily saved the extra cost of the rubber both in stoker confidence and in ripped clothing.