Rook and Pawn vs Bishop: Beating the Safe Corner

Guretzky-Cornitz showed in 1863 that rook and rook pawn beats a bishop even when the defending king is already in the safe corner. The mechanism is not the one you expect.

The pawn is the difference, and it never moves. Take the h4 pawn off the board and the position is a draw. Push it (1.h5) and the position is also a draw. It wins by staying exactly where it is.

Why h4 matters: it guards g5. The rook wants the g5 outpost, protected by the pawn, from where it cuts the black king off from the corner forever. That protection is the whole point of the extra material. But h4 does a second job: it leaves h5 free, so your king can slip out via h5 to g4 behind the rook and cut the black king off from the pawn. Push to h5 and you lose both jobs at once. That is the real reason 1.h5 draws: not that it loses the pawn, but that it crosses the middle line, and past that line the safe corner holds.

Evict the king first. 1.Kh6 threatens mate, so 1...Kg8 is forced, and 2.Rg7+ Kf8 pushes the king out. It never gets back in.

In this drill the defender heads back to h8 at every chance. Keep him out, leave the pawn alone, and take the g-file.