MacOS asked me for update to
EFI 2.7, I said ok. After rebooting I came up to the login screen. When I use my password for a moment I could see grey screen with mac's progress circle but then It returned to the login screen. In case if I use a random password, there are no this grey screen. I used disk utility to verify that the disk is ok. It had some minor problems so I used "repair". And now it says that the disk is ok.
I tried to go to the single user mode and reinstall this update
sudo /usr/sbin/bless -mount / -firmware "/System/Library/CoreServices/Firmware Updates/MacBookProEFIUpdate-2.7/MBP81_0047_27B_LOCKED.scap" --recovery --verbose
bla-bla-bla Substituting ESP disk0s1 Can't create mountpoint /Volumes/bless.ZZ2b Executing "sbin/mount" mount: realpath /Volumes/bless.ZZ2b: No such file or directory Returned 256