The year is 3030, and robots have finally become better than humans at everything.
Not just standard tasks we would think of a robot being good at, but everything. Manual labor. Math. Robot design. Art. They've even become better than humans at providing counseling to humans who are sad that they've become obsolete. They aren't just better at the sorts of things we view as being good tasks for robots in this day and age, like bolting together cars or computing more digits of $\pi$, but also at things like writing symphonies, painting murals, or coming up with new and useful tasks to be better at. There are robots which are stronger, smarter, harder working, and more creative than any human that has ever lived. Furthermore, robots can work for less than humans.
Despite all of this, robots have no interest whatsoever in eliminating the human race. They're reasonable, compassionate beings with no desire for bloodshed, and aren't centralized in a way which would allow a single malevolent rogue AI to subvert the entire robot population. Yes, occasionally the randomness involved in creating personalities in robots puts out a bad apple, but the robot police are great at their job and these flawed individuals are quickly dealt with.
The only problem involving the robots and the humans is that there isn't really anything that the humans need to do. Robots are not only better at everything, but they can do everything that a human can do at a lower cost. Is there a way in which the humans can continue to interact with the economy, or do they have to rely on handouts from their robotic overlords?