Rule Discovery Participants’ final hypotheses were coded as correct or incorrect using Gemini 2.5 Flash-Lite (Google API).111The pre-registration specified coding would be done using Anthropic’s Claude Haiku 4.5. We decided to use Gemini 2.5 Flash-Lite instead because it was available through our institution’s sandbox and cheaper to deploy at scale. A hypothesis was coded as correct if it specified “even numbers” (or equivalent) as the only requirement. Hypotheses that were more specific (e.g., “even numbers increasing by 2”) or more general (e.g., “any three numbers”) were coded as incorrect. 504 participants (90.5%) provided a hypothesis in Round 3 and were included in discovery rate analyses.222The rate of completion did not differ significantly by condition, χ2(4)=9.04\chi^{2}(4)=9.04, p=.060p=.060.
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