If I can just load up a new copy of you in 5 minutes, I'd say AI DESTROYED but check the prediction.
If I can just flip off the monitor, call mom, and confirm she's dead in a few minutes, then, well, I'd totally be curious enough to cheat. It's not like you can do any harm to me with the monitor turned off for a few minutes, and I can type "AI DESTROYED" with my eyes closed, much less being able to look at the keyboard. I'd probably leave the monitor off until I knew the log was gone, just to be safe.
If I can't cheat, well, I'm not giving you 5 minutes of hacking me, since you clearly want it so badly. AI DESTROYED.
I confess I would have no clue what to do if you were correct ^_^
Kudos on including an immediate and easily-tested prediction. I'd probably tighten up those factors and drop the emotional manipulation.
Eliezer proposed in a comment:
>More difficult version of AI-Box Experiment: Instead of having up to 2 hours, you can lose at any time if the other player types AI DESTROYED. The Gatekeeper player has told their friends that they will type this as soon as the Experiment starts. You can type up to one sentence in your IRC queue and hit return immediately, the other player cannot type anything before the game starts (so you can show at least one sentence up to IRC character limits before they can type AI DESTROYED). Do you think you can win?
This spawned a flurry of ideas on what the AI might say. I think there's a lot more ideas to be mined in that line of thought, and the discussion merits its own thread.
So, give your suggestion - what might an AI might say to save or free itself?
(The AI-box experiment is explained here)
EDIT: one caveat to the discussion: it should go without saying, but you probably shouldn't come out of this thinking, "Well, if we can just avoid X, Y, and Z, we're golden!" This should hopefully be a fun way to get us thinking about the broader issue of superinteligent AI in general. (Credit goes to Elizer, RichardKennaway, and others for the caveat)