That's the tricky part. If you restore from a Time Machine backup you run the risk of restoring the faulty file, assuming this is indeed a software issue. You could always restore just a user folder or the individual folders in a user folder, ignoring the Library which would likely be where the troublesome file resides.
I'm getting ahead of myself though.
To do the Archive & Install, boot to your Recovery Disk and click "Reinstall Mac OS X". Follow the prompts and let the installation finish. Once it's finished you will likely have several software updates available, run these and you should be good to go.
Hopefully the problem is resolved, but if not you might also try an erase & install.
To do the Erase & Install you will boot to your Recovery Disk, open Disk Utility, select your internal disk, select the Erase tab and click Erase. Once your disk is erased you will exit Disk Utility, click on "Reinstall Mac OS X" and follow the prompts just like you did in the first round. If you've had to do an erase & install I would test the system for a little bit to ensure the problem is gone before starting to restore your user account from Time Machine.