To (partially) check out the outlet, do you have any item of electrical equipment that will tell you if it has been switched off. For example, I have a mains alarm clock that when the power fails forgets the time, (and another radio that does the same over programmed stations as its internal battery has failed). Plug them into the same outlet as the computer (via some form of multi-plug adapter), and if it is the power failing then there is a reasonable chance they will fail as well.
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