Turing Testing Room
A play on the term "Turing test" (an examination of how well a machine mimics natural conversation with a human): tests taken by human students are usually administered in a testing room.
Questions on the main site are currently posted to the ticker, so we don't see the username, but if that's changed, it could be called Multivac after ...
The Chinese Room
A reference to the Chinese Room Argument.
We would need to make it clear that we're separate from Chinese.SE though...!
One of the bots could be named Searle, who invented the thought experiment.
Then we really have a Searle getting inputs and producing outputs, just as in the thought experiment.