TAILLE wrote:In this subject I propose to try and find what is the result of the following famous position that we saw regularly and the top level. This position appear in particular in 1967 between T.Sijbrands and M.Hisard, and this position appeared of course during this last world chamionship in the Otgonbayar-Podolski game.

White to play
As far as I know nobody could demonstrate what the issue is.
My view (correct me if I am wrong) is that the best defense for white is
1.34-29 23x34 2.30x39 18-23 3.39-34 12-18 4.35-30 24x35 5.27-22 18x27 6.33-29 13-18
In this position, white has two defenses: 7.28-22 and 7.29-24. To proof a win for black, we need to find replies to both moves.
Sijbrands states he's not sure that black will win after 7.28-22 35-40 8.22x24 40-44 9.29x18 44-49 10.24-20 14-19 11.18-12
but after the logical 11. ... 21-26 12.32x21 26x8
white has to decide between (note that 13.38-33 19-24!! 14.20x29 49-44! and black wins):
1) 13.20-15 49x41/46 with a difficult 5 vs 3 endgame with a vulnerable white piece on 34
2) 13.37-32 19-23 14.34-30! 23-29 (the exchange with 23-28 into a 4 vs 2 endgame is a draw according to Flits' endgame database) 15.20-15 49-35 16.32-27 35x31/36 with another difficult 5 vs 3 endgame with a vulnerable white piece on 38
Both 5 vs 3 endgames should be forceable into 5 vs 2 rather quickly because of the loose white pieces, so perhaps someone with access to the 7-piece endgame databases could resolve these endgames?
TAILLE wrote:
7.29-24 19x39 8.28x10
and we are in the following position

Black to play
It seems to me that this is the key position to resolve the initial problem.
The analysis of this position is very difficult but I am sure that with the collaboration of strong analysts we should finally find the solution of the problem.
My proposition is to play here 8...35-40
After some discussion with Wieger Wesselink it appears that after
9.25-20 40-44! 10.20-15 18-22! black as very good chances of winning
Wieger continues here with 11.10-4 44-50! 12.38-33 27x29 13.4x36 29-33!! (14.25-20? 21-27 B+) 14.37-32 39-43! 15.15-10 33-39!! and a promising 6 vs 3 endgame for black.
For completeness, you proposed 10.20-14 18-22! White can then move either (note that after 11.10-4? black wins with 22-28! 44-50 and 21-27)
1) 11.10-5 44-49 and after
1.1) 12.14-10 39-44 13.10-4 21-26!! and black wins)
1.2) 12. 5-10 39-44 13.38-33 27x29 14.10-15 29-34 15.14-10 44-50 and white can't promote his second piece.
2) 11.14-9 44-49 12.38-33 27x29 with another hopeless 7 vs 3 endgame.
So I would agree with you and Wieger that after 9.25-20 etc. black can almost surely win.
TAILLE wrote:
We did not discuss the following gambit, proposed by T.Sijbrands
9.10-04 18-22 10.38-33 27x29 11.04x31/36 but it seems to me that here again black has very good perpectives.
Given the above bleak results for white, I would say that white should play Sijbrands' 9.10-4 instead of Wieger's 9.25-20. Sijbrands states that after 9.10-4 18-22 white's strongest move is to play 10.38-33?, which however leads to a 6 vs 3 endgame which seems quite bad for white indeed.
But with 10.4-15! 40-44 (Sijbrands concludes that white can hardly escape a loss here and doesn't analyse further) 11.15-29 44-49 12.29-45 11-17 13.38-33 27x29 14.45x31/36 white has a 5 vs 3 endgame, however with a vulnerable piece on 37 and his other piece on 25 quite a way from promotion. Can black win this by exchanging into a 5 vs 2?
TAILLE wrote: Who is interested by such a discussion ?