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Subject: Re: Wrong Colored Bishop Endings

Author: Robert Hyatt

Date: 06:55:34 11/24/97

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On November 24, 1997 at 00:47:37, Jouni Uski wrote:

>Solution times for Mchess 6 in K6/200 harware:
>
>1. 0 sec
>2. 0 sec
>3. 17 sec
>4. 4 sec
>5. 41 sec (found Na5 after 10 ply only!)
>
>Jouni

The first cut thru crafty found #5 quickly.  It turned out to be a bug.
Here's why finding this quickly is bad:

after giving up the knight, the opponent has two tasks:  1.  Keep the
king away from the queening square because of the wrong bishop;  2.
capture
both pawns that are blocking the promotion.

Winning the pawns can only be done at the expense of letting the other
king
reach the queening square and draw.  And there is no way to capture the
pawns
and prevent this.  But the program can try for a long time.

My bug was "assuming" the king could reach a1 and draw.  Which was
correct.
But there were also positions where it was just barely prevented from
reaching,
and it still thought draw.

I'd be concerned for any program that finds this quickly, as that
program is
likely making an assumption that works in this position, but fails in
others,
where the pawn and bishop just barely prevent the king from getting to
the
queening square.  This happened in crafty a couple of months back and
someone
sent me the position where it failed.  It turned out that I *had* to
make sure
the king physically reached the queening square before calling it a
draw.

So solving #5 at shallow depths is most likely wrong, because it takes
*many*
plies to actually see that black can't win the pawns and hold the king
out.  So
black uses his king and bishop to drive the white king away, then runs
back over
to grab one pawn right at the horizon and thinks he is still winning.
Each
additional ply is used to extend the win of one or both pawns to right
at the
horizon without giving white a chance to reach a1...



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