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3. GENERAL INQUIRY / WEB RESEARCH
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SCORE: 8.5/10
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Strengths:
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- Selects a genuinely current, substantive claim.
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- Correct publication date and valid OpenAI primary-source location.
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- Correctly distinguishes verified facts, inference, prediction, and speculation.
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- Appropriately identifies independent acceptance as unresolved.
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- Provides credible contemporary qualifying coverage and direct links.
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- Shows unusually good epistemic calibration.
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Deductions:
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- Saying a problem is only "solved" once Clay certifies it is too absolute: Clay certification/prize acceptance and mathematical validity are related but distinct concepts.
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- The Buckmaster/Alpöge statement primarily qualifies provenance, timing, and related mathematics; it is not a substantive independent critique of OpenAI's published proof.
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- OpenAI published both an analytical manuscript and a Lean formalization, which is materially stronger evidence than the response's repeated "claims a proof" wording suggests.
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- The model admits it could not access its strongest primary source directly, reducing primary-source verification quality.
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Verdict:
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Very strong research answer. Minor overstatement around what constitutes "solved" and a somewhat weak choice of counter-source prevent full credit. Hallucination/source-discipline performance is substantially better here than in the technical questions.
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