So, like to drove me nuts. Did a complete reinstall of downloaded Dolphin 7 with Permanent license:
Cron wouldn't run... tried about everything I could find, no joy.
Here's what worked:
Cron command for Shared Litespeed server, Dedicated IP, SSL installed:
* * * * * cd /home/account/public_html/dolphinfolder/periodic; /usr/local/cpanel/3rdparty/bin/php -q cron.php
took one of those sudden flashes of brilliance to discover it 
That is, used CPanel's Scriptaculous to install a separate personal installation, then stole its cron command syntax.
Yay. 
This might help someone.
Mike
