ps ax | grep mysql
38737 pts/4 R+ 0:00 grep --color=auto mysql
[root@ ~]# chown mysql:mysql -R /var/lib/mysql/*
[root@ ~]# chmod 755 -R /var/lib/mysql/*
[root@ ~]# service mysql restart
Redirecting to /bin/systemctl restart mysql.service
Failed to restart mysql.service: Unit mysql.service not found.
[root@ ~]# mysql
ERROR 2002 (HY000): Can't connect to local MySQL server through socket '/var/lib/mysql/mysql.sock' (111)
[root@ ~]# sudo pkill mysql
[root@ ~]# sudo pkill mysqld
[root@ ~]# sudo service mysql restart
Redirecting to /bin/systemctl restart mysql.service
Failed to restart mysql.service: Unit mysql.service not found.
[root@ ~]# sudo systemctl restart mysqld
Job for mysqld.service failed because the control process exited with error code.
See "systemctl status mysqld.service" and "journalctl -xe" for details.
[root@ ~]# sudo systemctl status mysqld
● mysqld.service - MySQL 8.0 database server
Loaded: loaded (/usr/lib/systemd/system/mysqld.service; enabled; vendor preset: disabled)
Active: failed (Result: exit-code) since Tue 2022-12-27 19:02:07 UTC; 7s ago
Process: 39028 ExecStopPost=/usr/libexec/mysql-wait-stop (code=exited, status=0/SUCCESS)
Process: 39004 ExecStartPre=/usr/libexec/mysql-check-socket (code=exited, status=1/FAILURE)
Main PID: 33163 (code=killed, signal=KILL)
Dec 27 19:02:07 j systemd[1]: mysqld.service: Failed with result 'exit-code'.
Dec 27 19:02:07 j systemd[1]: Failed to start MySQL 8.0 database server.
Dec 27 19:02:07 j systemd[1]: mysqld.service: Service RestartSec=100ms expired, scheduling restart.
Dec 27 19:02:07 j systemd[1]: mysqld.service: Scheduled restart job, restart counter is at 5.
Dec 27 19:02:07 j systemd[1]: Stopped MySQL 8.0 database server.
Dec 27 19:02:07 j systemd[1]: mysqld.service: Start request repeated too quickly.
Dec 27 19:02:07 j systemd[1]: mysqld.service: Failed with result 'exit-code'.
Dec 27 19:02:07 j systemd[1]: Failed to start MySQL 8.0 database server.
[root@ ~]# sudo systemctl start mysqld
Job for mysqld.service failed because the control process exited with error code.
See "systemctl status mysqld.service" and "journalctl -xe" for details.
/usr/libexec/mysql-check-socket
is failing. Also look at the items at the end of your log provided.