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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第三十五条 有下列行为之一的，处五日以上十日以下拘留或者一千元以上三千元以下罚款；情节较重的，处十日以上十五日以下拘留，可以并处五千元以下罚款：