riverattcom, I do a lot of auto electrical work and have never seen a short that would draw a battery dead in minutes. The entire system is protected against that kind of a short with both ATC and Maxi fuses. Now if you have a draw that runs the battery down in say 48 hours and the battery goes dead as many as three or four times the odds are you will have a cooked battery. Anytime you think you have a short it should blow a fuse, if you have a draw it is easy to check and track with even a simple dvm. It really is one of the easiest parts of an automotive system.
I should explain, yes I am an ase certified master in auto electronics. A short is a direct connection of power to a ground, this causes burning and sparks in most cases and every system has fail safe devices that open. Fuses, thermal limiters, fuse able links, etc. To drain a battery in minutes with a short would generate about as much heat as an arc welder would. and would require at least 2 gage wire to sustain the load without melting.
Now a draw is when you have a component that does not power down such as a relay or field as the result of poor wiring or improper wiring. This will usually result in an amp draw of around 1-2 amps and this will usually knock a battery dead in around 48 hours. This is not a short and this can be checked and isolated with a dvm by first determining the amount of draw and then isolate circuits until you can identify the source of the draw.
Now if you continue to replace battery's without repairing the draw the new battery will have a very short life as these are not deep cycle batteries and are not designed to be fully discharged without doing cell damage. Most batteries will not survive more then four full discharges before they no longer have any reserve life, this would explain anything being on for a couple of minutes causing a no start. IMHO
I think the battery is bad but I would guess the life of the batteries is being cut short by improper wiring. Just wanted to clarify what I call a short versus a draw.
Max