ChatGPT 5.6 proves remaining Kozma-Nitzan conjectures in ~10 hours, formalized in ~100K lines of Lean
burny_tech · x · 2026-09-05
Ahmed Bou-Rabee reports that ChatGPT 5.6 Sol Ultra proved the remaining Kozma–Nitzan conjectures in roughly 10 hours on /fast with minimal human intervention, and Claude Fable 5.1 formalized the result in Lean. The new write-up extends the earlier Anthropic machine-checked result to site percolation, establishing θ(pc)=0 for all d≥3, with 100K lines of Lean produced with support from Opus 5 and GLM 5.3. The post includes full mathematical exposition of percolation at criticality.
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