Eventually my research led me to .NET Native AOT. Normally C# gets compiled into an intermediate language that only gets compiled down to platform-native code on-demand via the common language runtime. However, through Native AOT, a C# project can be directly compiled into platform-native code. This seems promising, but there’s a major problem. Native AOT is only officially supported on Windows and Linux. We also need to ship on Xbox and PS5.
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I wanted to test this claim with SAT problems. Why SAT? Because solving SAT problems require applying very few rules consistently. The principle stays the same even if you have millions of variables or just a couple. So if you know how to reason properly any SAT instances is solvable given enough time. Also, it's easy to generate completely random SAT problems that make it less likely for LLM to solve the problem based on pure pattern recognition. Therefore, I think it is a good problem type to test whether LLMs can generalize basic rules beyond their training data.