bengine.exe is the main backup service for Veritas Backup Exec. This program is essential in keeping backups up to date and should not be terminated.
Non-system processes like bengine.exe originate from software you installed on your system. Since most applications store data in your system's registry, it is likely that your registry has suffered fragmentation and accumulated invalid entries which can affect your PC's performance. It is recommended that you check your registry to identify slowdown issues.