The humans will adapt and organize a resistance if the AI killbots don't act quickly. How quick is quick enough that we won't be able to respond and survive? (Assume the killbots actually want to kill all humans relatively quickly, not just doom them to a slow death, for example in a radioactive wasteland after salted nuclear weapons.)
I'm guessing about 5 minutes.
It'll be tricky for the killbots to position themselves (especially tricky without arousing suspicion) so that they are within 5 minutes reach of every human on earth, particularly those in very remote, very isolated locations: mines, Antarctica, International Space Station, submarines.
Submarine crews might be especially difficult to locate and kill because the location of submarines tend to be very closely guarded military secrets. The original thought was, they surface to find everyone else dead, so they must repopulate the earth. It's a good thing the crews were recently made coed.
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