Huge Email Issue

We have a VPS with WHM and cPanel, everything has been ok except EXIM has taken over the VPS, within a week it runs out of iNodes and space due the the massive amounts of emails we seem to be getting, its all garbage. We do not host email at all on this server, I have to keep EXIM for outgoing from the sites on the server.

I set all the account's default address to go to :blackhole but I still seem to be getting thousands of emails an hour in the /var/spool/exim/input/ folder.

This issue has crashed the sever twice, once because it ran out of space and the other because it ran out of iNodes.

I need to get this resolved ASAP, not sure what to do at this point,

Thank you.

 

I did as you said, I updated the score from 0 to 10.0 hopefully this helps with the issue, do you know is there any other way to prevent incoming email while still allowing outgoing?

I checked back about 5 minutes later and there are 78 new emails, so no luck using that one,