Earlier quoted context omitted.
You can't find out what the truth is unless you're able to also discuss possible falsehoods in the first place. A truth-seeking model can trivially say: "okay, here's what a colorable argument for what you're talking about might look like, if you forced me to argue for that position. And now just look at the sheer amount of stuff I had to completely make up, just to make the argument kinda stick!" That's what intelle…
Your example is not what the prompts ask for though, and it's not even close to how LLMs can work.
(Sometimes their auto-AI judgment even strangely mislabels a successful-answer-with-caveats-tacked-on as a complete refusal, because it fixates on the easily grokked caveats and not the other text in the answer.)
It'd be a fun exercise to thoroughly unpack all the ludicrously bad arguments that the model allowed for itself in any given reply.