Thanks for the responses, guys. Calum, the BIOS is up-to-date, my RAM is 6x2GB, and I'm currently trying different power connectors. It's a little tricky to try a different PCI-e slot at the moment because of the positioning of some things in my system.
I tried testing the PSU, and all the 3.35v pins were at 3.37v, the 5.0v pins were all at 5.06v, and the 12.0v pins were both at 12.13v. The -12.0v pin was at -11.92v.
Patio, this PSU is a brand-new unit that was shipped to me from Corsair just a few weeks ago as a replacement for one that died on me previously. Also, you say spend a bit more next time, but I was under the impression that Corsair makes quality power supplies. Is that not the case? It wasn't cheap when I bought it, that's for sure. I know that not being able to test it under load leaves some questions unanswered, but do you think the fact that I've had this issue even while sitting in the BIOS might indicate that load doesn't seem to have a particularly clear effect on the issue? Furthermore, I've gamed for hours without it happening, and the resetting doesn't seem to correlate with gaming sessions. With this information, do you still think it's the PSU?
Also, the CMOS battery holds the settings just fine, it just says that my overclock has failed when it tries to boot up. I've noticed that after the reset, the system tries to boot up several times before it manages to get to that message. I'm thinking that maybe the system is basically reporting that it couldn't boot up properly, and assumes that the issue is related to poor overclock settings, but I could be wrong.
Another thing to note is that I took a look at all the capacitors that I could see without taking too much out of my system and I didn't see any that seem to be bulging or leaking. I know this really sounds like a PSU issue, but since I just received this one and the tests seem fine (at least while it's not under load), and because load doesn't seem to have any effect on the problem, I'm just having trouble accepting that it could be the PSU. Let me know what you think, and if you still think it's the PSU I'll contact Corsair, but I'm not sure how they'll feel about giving me a replacement unit when all of the tests that they suggest are working fine and they just sent me this one recently. Maybe I'll just keep this one as a spare and buy a different one entirely if it comes to that.
Anyway, I have a habit of typing particularly long replies, so I'll leave it there and see what you think. Thanks again for your time guys, I really appreciate it.