[root@localhost ~]# vi /var/log/zabbix/zabbix_server.log
[root@localhost ~]# systemctl restart zabbix-server.service
[root@localhost ~]# vi /var/log/zabbix/zabbix_server.log
[root@localhost ~]# systemctl status zabbix-server.service
● zabbix-server.service - Zabbix Server
Loaded: loaded (/usr/lib/systemd/system/zabbix-server.service; enabled; vendor preset: disabled)
Active: active (running) since Seg 2016-07-11 11:02:52 BRT; 42min ago
Process: 13668 ExecStart=/usr/sbin/zabbix_server -c $CONFFILE (code=exited, status=0/SUCCESS)
Main PID: 13670 (zabbix_server)
CGroup: /system.slice/zabbix-server.service
└─13670 /usr/sbin/zabbix_server -c /etc/zabbix/zabbix_server.conf

Jul 11 11:02:52 localhost.localdomain systemd[1]: Stopping Zabbix Server...
Jul 11 11:02:52 localhost.localdomain systemd[1]: Starting Zabbix Server...
Jul 11 11:02:52 localhost.localdomain systemd[1]: zabbix-server.service: Supervising process 13670 which is not our child. We'll most likely not ...t exits.
Jul 11 11:02:52 localhost.localdomain systemd[1]: Started Zabbix Server.
Hint: Some lines were ellipsized, use -l to show in full.

But process...

zabbix 13670 0.0 0.4 2783032 33688 ? S 11:02 0:00 /usr/sbin/zabbix_server -c /etc/zabbix/zabbix_server.conf

Server dont running