Cron daemon is running and system log daemon is running but cron won't run

Cron daemon is running and system log daemon is running but cron won't run

I have a cron that is supposed to run every minute however it will not
run. I have checked if the daemon is running and it confirms it is. I have
checked for logs but there was no log file created so I so checked
rsyslogd and made sure crond will log events, however the log doesn't even
get created.
My cron is the following:
*/1 * * * * export DISPLAY=:0.0
*/1 * * * * /usr/bin/xdotool mousemove 500 500
Does anyone have any suggestions as to why cron won't run?
Cheers.