There is a Zelazny story called "[For a Breath I Tarry][1]" that concerns two supercomputers in a post-apocalyptic world.  Many of the plot details do not match what you give, but the story did appear in a Dutch (I know you said German) language book of about 20 stories: "[De beste Science Fiction verhalen van Meulenhoff][2]"


  [1]: http://www.isfdb.org/cgi-bin/title.cgi?58656
  [2]: https://www.goodreads.com/book/show/22062868-de-beste-science-fiction-verhalen-van-meulenhoff