A last esthetic suggestion: let's mark the lower group and label with
1 the last move Black did in the ko:

https://drive.google.com/file/d/1L62m7i_IJX8FCB_8rIOwjYK3tR1GZZaq/view?usp=sharing

On 23 June 2018 at 00:19, Marcel Crasmaru <crasma...@gmail.com> wrote:
> Well all my reasoning was good but for the formula which is actually
>
> F = z || (y && x)              :-)
>
> Mea culpa I didn't see that the ladder choices are reversed. I let
> other people try showing that the group is alive in John's initial
> problem (last move was  B capture at x, the lower side ko).
>
> --Marcel
>
> On 23 June 2018 at 00:06, Marcel Crasmaru <crasma...@gmail.com> wrote:
>> OK I think there is one  thing to be done to make the solution longer:
>>
>> 1. mark the middle ko and then
>> 2. problem should be: B just captured in the middle ko and W is to
>> move - is the group alive?
>>
>> See here: 
>> https://drive.google.com/file/d/1J5Xn4XkOqSsYx0AEBQJj6EL-SjNqNq-o/view?usp=sharing
>>
>> Assuming x is the top ko, y the middle one etc. the problem is then
>> equivalent to
>> F = z && (y || x) with (x = 1, y = 0, z = 0, F is false) and W cannot play 
>> at y.
>>
>> As F is false W has to take the ko at z (x = 1, y = 0, z = 1, F becomes true)
>> B takes at x (x = 0, y = 0, z = 1 F is false)
>> W takes at y (x = 0, y = 1, z = 1, F true),
>> B takes at z (x = 0, y = 1, z = 0, F false) and W is dead as no matter
>> what W does F remains false (equivalent to ladders failing for W).
>>
>> --Marcel
>>
>> On 22 June 2018 at 22:27, Marcel Crasmaru <crasma...@gmail.com> wrote:
>>> Errata: assuming x is the top ko then the formula encoded by this problem is
>>>
>>> z && (y || x)
>>>
>>> with x = 1, y = 0, z = 0 and W cannot play at z. Thus W is already
>>> dead you cannot  make the formula true.
>>>
>>> --Marcel
>>>
>>> On 22 June 2018 at 22:19, Marcel Crasmaru <crasma...@gmail.com> wrote:
>>>> The position looks OK is great  - I didn't find any side solutions.
>>>> Just one observation: I think this encodes x && y || y || z and W is
>>>> dead already  thus is arguably a easier problem :)
>>>>
>>>>  Should make for a great wall poster.
>>>>
>>>> On 22 June 2018 at 19:48, John Tromp <john.tr...@gmail.com> wrote:
>>>>>>>>> at the bottom of my Go page http://tromp.github.io/go.html, which also
>>>>>>>>> contains an sgf link.
>>>>>>>>> Direct link to image: http://tromp.github.io/img/WO5lives.png
>>>>>
>>>>> Enlarging the board to 29x29 allows for a much better final (I hope)
>>>>> look, close to my first attempt.
>>>>>
>>>>> -John
>>>>> _______________________________________________
>>>>> Computer-go mailing list
>>>>> Computer-go@computer-go.org
>>>>> http://computer-go.org/mailman/listinfo/computer-go
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