To clarify when you reset the system all the speakers work but after 1-2 minutes one of the rear speakers stops working?
To determine where the problem is exchange the left and right rear speaker cables.
If the same speaker stops working either the speaker or the wire itself is bad. Check that the wire isn't shorting where it is connected at the receiver or speaker. Use the speaker in the front to make sure that it is bad.
If the other speaker stops working then the Pioneer receiver has a problem. This is more likely than the speaker being bad since that would never work if it was blown.