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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第四十四条 当事人没有在仲裁规则规定的期限内约定仲裁庭的组成方式或者选定仲裁员的，由仲裁机构主任按照仲裁规则确定的程序确定或者指定。