In 1943, M. Duchamp posed a "problem with no solution". From the initial position, the following moves are suggested by Larry Evans (on http://www.toutfait.com/articals.php?id=47066, the article is written by Francis Naumann).

But there is one different proposal because of Black's sixth move. But there is another possibility for White to continue after Black's ...Rg8:

By the end of the article, the author writes: "Duchamp has given us, in effect, a problem with no solution."

Do you agree?

no, there is an answer for sure

In a short while the endgame tablebase for the endgames with these pieces will be done. So wait like 2 year to get a definate answer.

flip the board  - g5 

He had a very strange idea of what constituted a fountain.