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A self-contained, replayable two-instance local obstruction certificate packet for the one-point extension defect of two named rows in the Ramsey–McKay corpus of known R(5, 5, 42) graphs.
Reproducible proofs of eight exact finite Zarankiewicz numbers, including a complete DRAT/LRAT and exact SCIP/VIPR certificate for Z(10,23,3,3)=112, plus Z(13,23,3,3)≤144.