“How do you relate food preparation to free will?” she asks as they move along.
"To provide robots with a variety of environments so their Free Will can shine through!"
"—I'm afraid I can't, ma'am, for the very nature of the thing is that it is undemonstrable and unpredictable."
"—well, I should say it is impossible to demonstrate at will, but the recordings contain the data, ma'am."
It consists of very minutely described observed behaviour in the chambers compared with... what looks a lot like itself. Except it comes from the servers.
...observational data from the robots in the various rooms, apparently. More specifically, all of their sensors.
Back where their bodies are: “— can you explain what redundant computing possibly has to do with ‘free will’?”
“—sorry, I should know better but this place is getting to me.
“What I see here is that the robots’ minds are running in two places. They are in the robots and they are also on extra servers nearby,” waving at a piece of the newly-obtained map of the Free Will Experiment Station, “and their ‘research results’ are comparisons of the copies.
“With me so far?”