Shortest-proof-game challenge

I believe it's currently the longest SPG posted here, and second longest is this one which tygxc shortened to 85 moves. https://www.chess.com/forum/view/more-puzzles/shortest-proof-game-challenge?page=51#comment-62982253

#1041
Here is a longer shortest proof game of 185 moves.
https://timkr.home.xs4all.nl/chess2/diary.htm 

Yes, quite a bit longer. Did you think about trying to shorten that proof game?

#1043
I believe the author at his word that this is shortest indeed.
I also believe the author's expert opinion that this is probably not the longest.

I agree that this is probably not the longest SPG. In fact, I would say that no matter how long an SPG can be found, it will never be possible to prove that there can't be a longer one.

what?

This position is featured on my home page at https://tromp.github.io/ ...

Now that tygxc has found a 185-move shortest proof game, I can give up on trying to post the longest SPG in this thread. Instead I will try to find positions with long proof games, say longer than 50 moves, which solvers will enjoy working on. I think the position below qualifies. A proof game for johntromp's position above will probably also be a long one.

How short a proof game can you find for this legal position:

What is the shortest proof game for this gem by Dimitrij Baibikov?

There was a 57 move proof game already at https://www.chess.com/forum/view/fun-with-chess/illegal-position-contest?page=282#comment-63063181 but there seems to be room for improvement...

Here is an unshortened proof game for #1048, showing that it's legal and ready for our chief shortener, tygxc, to do his thing.

I had fun coming up with a 75.5 move proof game for this position. How much shorter can you make it?

I give up

If #1052 is too hard, you can try #1049 or #1050. #1050 is probably the easiest of those.

With about a half-hour's work I shortened #1050 from 56.5 to 54.5 moves. Why don't you see if you can shorten it another move or two.

#1051
Shorter

I would be interested in knowing how short a proof game johntromp has for this position from his home page.

I'm hoping someone will post proof games for #1049 and #1052. The proof game I have for #1049 is 74 moves long.

#1056
Shorter