Wysota,

I can't find libmyqslclient.so, which a little googling suggested is the relevant library. It's not in /usr or /etc.
$whereis mysql
gives me

mysql: /usr/bin/mysql /etc/mysql /usr/lib/mysql /usr/lib64/mysql /usr/share/mysql /usr/share/man/man1/mysql.1.gz
In /usr/lib/mysql/plugin and /usr/lib/mysql/plugin I have ha_innodb_plugin.so.

The MySQL administrator says the socket for the server instance (which is running) is /var/run/mysqld/mysqld.sock, if that helps.