There are a couple of plugins in Wordpress that can cause errors on our cPanel systems and as a result you see a core dump file in your Wordpress directory. This is essentially highlight a php conflict.
The quick fix for this is to put a blank php.ini file in the folder the core files appear in. This will stop them occuring.
1. Go to your cpanel file manager
2. Navigate to the folder where your core files appear. You can delete those core files
3. Create a new file called 'php.ini'