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A chess problem solvable by intuition but not by computers
White only moves his king and draws via 50-move rule.
I think you should submit that solution!
I realized that by only moving the King around, Black was paralyzed of course. I also have looked at posting the white K on d7 and then sacrificing the pawn to a Bishop on c7 then moving the White King to c6 to somehow take advantage of the pawn captures that may follow, but I didn't see a lot of opportunity for NOT losing with that idea... :)
Re: A chess problem solvable by intuition but not by computers
Well, yeah, just move the king on the white squares.
As a side note, this position, even if completely ridiculous compared to practical chess, is still of some use in the context of computer analysis. Let me explain.
I enter the position and fire up the latest version of Komodo. What is the output? A steady -25 (huge advantage for black). But I insist on the 'steady' part. The number stays the same whatever the depth of analysis is.
Now, some might say the computer doesn't understand the position, but I partly disagree. The computer doesn't see a mate, so it's not mate in X. And there's too many pieces for a clear evaluation. So a ridiculous number comes out, BUT, the computer doesn't see how to progress. Which immediately tells me it's a draw. I don't care what is the number in the computer's evaluation. What I do care about is the fact that the number stays the same, whether it's at 12 plys or 30. It does tell me that the computer can't find a way to progress, so it's still some valuable insight into the position.
A chess problem solvable by intuition but not by computers
A chess problem solvable by intuition but not by computers
March 13, 2017
The new Penrose Institute has been founded by Sir Roger Penrose, emeritus Professor at the Mathematical Institute of Oxford.
It will study human consciousness through physics and tease out the fundamental differences between artificial and human intelligence.
A chess problem, originally drawn by Sir Roger, has been devised to defeat an artificially intelligent computer but be solvable for humans. The Penrose Institute scientists are inviting readers to workout how white can win or force a stalemate and then share their reasoning.
white to play and draw. Easy for humans. (Note: It is a legal position)
__________
Can you solve the puzzle?
Scientists want to hear from you if you've cracked it
The puzzle above may seem hopeless for white, with just a King and four pawns remaining, but it is possible to draw and even win.
Scientists have constructed it in a way to confound a chess computer, which would normally consider that it is a win for black.
However an average chess-playing human should be able to see that a draw is possible.
A chess computer struggles because it looks like an impossible position, even though it is perfectly legal.
The three bishops forces the computer to perform a massive search of possible positions that will rapidly expand to something that exceeds all the computational power on planet earth.
Humans attempting the problem are advised to find some peace and quiet and notice how the solution that arises. Was there a flash of insight? Did you need to leave the puzzle for a while and come back to it?
The main goal is to force a draw, although it is even possible to trick black into a blunder that might allow white to win.
The first person who can demonstrate the solution legally will receive a bonus prize.
Both humans, computers and even quantum computers are invited to play the game and solutions should be emailed to puzzles@penroseinstitute.com.
_________
This past weekend in a thread about the lasker chess problem, a position not solvable by computer was cooked by a ChessTalk reader!
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