Claude research model claims to refute Exponential Time Hypothesis with 14M-token autonomous run

scaling01 · x · 2026-10-27

A paper attributed to Claude/Anthropic claims its core algorithm was found on October 16 by an internal Claude research model using 14M output tokens with no human input; Anthropic researchers then worked with Claude to improve the presentation.

The paper, "A 2^o(n) Time Algorithm for 3-SAT," claims to refute the Exponential Time Hypothesis via a deterministic 2^o(n)-time algorithm for 3-SAT, solving the harder #3-SAT counting problem, with results formalized in Lean 4. The claim would overturn complexity theory if true and is flagged as extremely confusing—verification pending.

Related event: Report: Anthropic Internal Model Claims to Disprove Exponential Time Hypothesis(3 posts)→

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