I'm usually not a fan of text based games but the idea here is pretty interesting.
I would've loved a little more interaction, maybe some sound effects or a different way of setting up the lies and analysis in such a way that they become necessary to progress, like pointing out a lie and then using it in different dialogues as a point to get more evidence.
Also, requiring some kind of evidence before giving an answer could prove more interesting than just having it available all the time, because then you can just try every possibility without any kind of real repercussion.