An intriguing position, with the black rook tied to the defence of d3.
Some ingenuity is needed to force mate in 5 moves. The diagram has been
amended to remove a superfluous white pawn at g5.
The black rook must guard against Rd3 mate, but as things stand White
cannot capture it when it moves to a3 or c3 because of the resulting
stalemate. The key is 1.Ke6, with a full-length threat 2.Kxf5
3.Kxg4 4.Bf3 followed by a knight mate. After 1...Rxb6+ 2.Bc6
is a critical move with respect to d5, which White takes advantage of
after the rook returns to b3. 3.Rd5 relieves the potential
stalemate, leaving only 3...Ra3 or Rc3 4.PxR any 5.Rd3.
Black’s alternative 2...Rxc6+ also relieves the stalemate
– 3.Kxf5 Rc3 4.bxc3 or 3...Rf6+ 4.exf6. A novel
exploitation of the Indian theme. There is a try 1.Bg2? Rc3 2.Sd5+ Ke2
3.Sxc3+ Ke3 4.Bf1 Kf3 5.Rd3, refuted by 1...Ra3! The problem was
originally published without the black pawn on f5 (and a white pawn on
g5, later discovered to be unnecessary). This pawn was added to give a
second, thematic, try, 1.Bc6? threatening 2.Rd5 and defeated only by
1...Rc3!