I don't think your analysis makes sense, because seeing the first move is not relevant in most of these problems. For example, in the Lamford study: https://li

I don't think your analysis makes sense, because seeing the first move is not relevant in most of these problems. For example, in the Lamford study: https://lichess.org/analysis/8/8/8/1k3p2/p1p1pPp1/PpPpP1Pp/1P1P3P/QN1K1NRR_w_K_-_0_1 https://lichess.org/analysis/8/8/8/1k3p2/p1p1pPp1/PpPpP1Pp/1... If you spot the computer the first twelve moves and create this position: https://lichess.org/analysis/8/8/8/1k3p2/p1p1pPp1/PpPpP1Pp/1P1P3P/QNRKRN2_w_-_-_0_1#0 https://lichess.org/analysis/8/8/8/1k3p2/p1p1pPp1/PpPpP1Pp/1... My Stockfish still fails to see the key idea of Rc2 followed by Ka2 (at least for a few minutes until I got bored) -- it just wants to shuffle the rooks around forever. I'm sure that some engines given enough time will solve some of these, but your check isn't accurately assessing their capabilities.