I played a game on Lichess today as white, and me and my opponent reached this interesting endgame position.
Note: It is black’s turn currently. The board is shown from White's point of view.
[Title "Rewan Demontay-NN, Lichess, 5/14/19"] [StartFlipped "0"] [FEN "8/8/3r1kP1/5B2/4PK2/8/8/8 b - - 0 1"]
Is this KBPP vs. KR position a draw or a win, with perfect play by both sides?
It looks like a draw to me. White can make no progress here. Black cannot exchange his rook for the bishop and a pawn at any point, or else the other white pawn will advance ahead and promote. Therefore, each side will effectively end up making infinite waiting moves. That is what happened in our game, and it was drawn by the 50 move rule.
While I am sure that I could simply use a computer in this scenario, I wish to know how I can tell it is a draw without computer assistance.