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This ones starting to hurt my brain.
Since I've installed Mavericks my Mac has rebooted every morning at 6-6:04am.
I've tried everything I can think of to figure this out.
If I go to a Unix prompt and type "last" I get.

studio console Wed Nov 13 06:01 still logged in
reboot ~ Wed Nov 13 06:00
studio ttys000 Tue Nov 12 15:43 - 15:52 (00:08)
studio console Tue Nov 12 06:05 - crash (23:54)
reboot ~ Tue Nov 12 06:04
studio console Sun Nov 10 06:05 - crash (1+23:59)
reboot ~ Sun Nov 10 06:04
studio console Sat Nov 9 06:01 - crash (1+02:26)
reboot ~ Sat Nov 9 06:02
studio console Wed Nov 6 13:50 - crash (2+13:46)
reboot ~ Wed Nov 6 13:49
studio console Mon Nov 4 05:26 - crash (2+08:22)
reboot ~ Mon Nov 4 05:26

When I look in the crash reports logs there no logs that match this.
At first I thought is was a power issue but that has been ruled out.
Is anybody experiencing this or have an idea how to correct it?
Actually now that I look at this how can it crash at 6:05 and reboot at 6:04?

Check you settings (under the Apple Menu) for System Preferences, Energy Saver, Schedule. It sounds like it is automated to startup and and then shut down.

I can't believe its that simple after all the poking around I've done.

Hopefully this will fix it.
Thanx again MLC

No problem. Sometimes the simplest things are the hardest to find. (~ Confucius Confusions)