  This paper is devoted to construction of finitely presented infinite nil
semigroup with identity $x^9=0$. This construction answers to the problem of
Lev Shevrin and Mark Sapir. This is the short version of the paper presenting
the main ideas of the construction. The work was carried out with the help of
the Russian Science Foundation Grant N 17-11-01377. The first author is the
winner of the contest Young Mathematics of Russia .
