The obvious thing to rule out at his point is the receivers (unless you are cranking the speakers to insane levels).
Reversed polarity would not be the issue.
Most likely there is a short somewhere in your system. There are others who will follow who are better qualified to help you, but the first thing you should check is the connections to make sure there is not a stray wire between terminals. This would not be a strong short or the receivers would be more quick to shut down.
My younger brother had a very similar experience to yours and it wasn't until he was moving his system and while spooling the speaker cable around his forearm, he felt a sharp bump in the cable as it slid past his hand. Upon close inspection, the only thing that might have done it would be his cat digging a claw into the cable which actually cut and pushed a wire from the positive to the negative side. It was not a strong short and it was only when he (and friends) got plastered and cranked it that the receivers would die so I'd guess it was only when the voltage was high enough to arc across some oxidation or some minute gap between the wires that it would short.
In any case, give your wires a close inspection (and if it was like my brother's situation, you are better off feeling for the problem than looking for it!).
Good luck, and let us know what you find!
If nothing there, I think the problem must be internal to the speaker!