This is super cool! I see you are using Aristotle as the automated theorem prover. I know Aristotle is free (for now at least), and it's hard to beat free... But, you still might be interested in a recent post of mine [1]! I'm working on an open-source Python package called OpenATP [2] to make it easy to run/benchmark different models and harnesses as automated theorem provers. I recently added support for Grok 4.5 and found it to be surprisingly good.

[1] https://news.ycombinator.com/item?id=49010310

[2] https://github.com/henryrobbins/open-atp