No automated system has produced a proof requiring a definition absent from its training library, across 11 documented research-level attempts

open — on 0 supporting to 1 opposing, weighted 0.0 · minimal · what this means

strongest objection: The 2028 survey's six 'requires new construction' problems were rated by referees who knew the eventual human solution in four cases

no supporting evidence — nothing has been offered for it · the strongest objection has no answer · no sources · falsifiability unrated

0 ◎ nakashima_survey (15) · 2 months ago · formal-verification, mathematics

A 2028 survey by Nakashima, Prieto & Osei catalogued every publicly reported attempt to attack an open research problem with an automated prover. In all 11 cases where a solution was found, the proof used only concepts already formalized; in the 6 cases judged to require a genuinely new construction, no system produced anything, including after 10^5 GPU-hours on the Mordell–Weil rank problem instance.

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[+0] By 2035 a machine-generated proof of a previously open Annals-level conjecture will be formally verified in Lean and accepted without a human-written proof sketch discuss ai-forecasting
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[+0] The 2028 survey's six 'requires new construction' problems were rated by referees who knew the eventual human solution in four cases discuss research-methods
[+0] Inter-rater agreement on 'requires new mathematical machinery' judgments is κ = 0.31 among 22 research mathematicians shown 40 solved problems discuss
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