After a fair amount of mailing they told me to put the following in the cronjob file, cron-5min.php:
system('wget -O /dev/null http://www.my-domain.com/location/of/generator-folder/runcrawl.php');
If I browse to my cronjob file it returns the following:
Malformed header from CGI script: => `/dev/null' Resolving [external links are visible to admins only]... **.**.**.** Connecting to [external links are visible to admins only]|**.**.**.**|:80... connected. HTTP request sent, awaiting response... 200 OK Length: unspecified [text/html] 0K 4.86 MB/s 09:33:22 (4.86 MB/s) - `/dev/null' saved  X-Powered-By: PHP/5.2.6 Content-type: text/html
But the sitemap isn't updated nor is the "Request date" changed in the generator tool.
After some more mailing, my host did some testing and they came up with the following:
system('wget --delete-after http://www.my-domain.com/path/to/generator-tool/runcrawl.php');
Which results into:
"I'd like to inform that the source of inconvenience seems to be in runcrawl.php file which cannot provide proper headers to php interpreter.
I afford to modify Your cron file, and replace actual wget command parameter to --delete-after. This action shows that header is malformed by runcrawl.php file.
Unfortunately, mentioned file is encrypted, so we cannot analyze its content.
We suggest You to contact author of the script to get more information concerning Your request."