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The text discusses proving random CNF formulas unsatisfiable, introducing a proof system for unsatisfiable CNF formulas defined by Cook and Reckhouse. The system is general enough to include any NP algorithm, with a polytime algorithm P taking strings to unsat formulas. The difficulty in proving random unsat formulas is highlighted, despite their abundance. The speaker plans to delve into this topic further in a future talk and encourages comments and questions from the audience.