Very good Frank, this was Boyko's idea from awhile back http://poolcheckers.com/zlobinskiy/boyko.htm . necktie23 actually solved it as well, but his notation is all over the place, I basically sensed he did it right.
yah, u did sorry!!. I found it!!! this is the first time writing the notations though so hope its written write. 1.9-13,26-31 2.3-8,6-9 (trying to protect the king cost him the game) 3.20x27,1x10 4.14-18,23x7 5.1-6,31x24 6.5x14,7-11 7.14-18,11-x18 8.13-17,12x19 9.8-11... game over!!. white could have gone ...25-22 then black go 10-15 then if white still tries to clear the line(..6-9,20x27 2.1x10) to protect the king then.. 15-18,22x15 2.12-16,31x13 3.8-11... black still crowns!!
I have no board at work to validate all lines, but it is clear that you found the idea - great job! P.S. - you do need to work on the notation, but that comes with usage.