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.
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总书记两次考察，格外关注中医药。“十五五”规划建议提出：“推进中医药传承创新，促进中西医结合。”中医药振兴发展迎来天时、地利、人和的有利时机。
Scan the crate to find areas of algorithmic weaknesses in extreme cases, and write a sentence for each describing the problem, the potential solution, and quantifying the impact of the solution