You're a hyper-intelligent AGI and you'd like to exterminate humanity entirely and forever. Doing so naively is very difficult, because humanity will fight back and destroy you. What do you do to to make it happen such that humanity not only doesn't fight back, but is an enthusiastic participant in its own demise? Me? I'd disrupt procreation in the most "convenient" way possible: make great looking robots that are ready, willing and able to have sex, while also dramatically driving up the cost of having kids (if it's even possible to drive up any further) and popularizing the DINK lifestyle. Then, within 50 years or so, when the last fertile women go into menopause, mop up the few remaining people who pose any threat, and let the rest die out happily on their own. But I wonder if anyone has even better (where by "better" I mean worse for us, humans) ideas.