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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.
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# What is the lesson here?
2012年年末，习近平总书记来到骆驼湾村踏雪访贫，同乡亲们聊家常、算细账，一起商量脱贫致富之策。，这一点在夫子中也有详细论述