Yeah, okay, enough of that, let's just actually walk through the evaluation of the evidence from today and from all other days.
Keltham forgot, in fact, to cast Detect Intelligence where he could verify that it just detected Intelligence scores. Keltham is willing however to expect that this test would go the way that the Conspiracy said it would. And if Keltham casts Detect Intelligence afterwards and it's hugely anomalous, he can change his conclusions then.
So step one is to review Carissa's and Asmodia's math homework, the other researchers' Conspiracy homework, and skim a random selection of the books that were actually bought or borrowed. Just do his own homework first. The longer he delays before doing that, the more time the Conspiracy has to finish the half-written books and transform the ones he has in here, using their eighth-circle wizardry that can in fact go right through a Rope Trick.