High CPU utilization (100%).

On the management interface, throughput is very high.

Does the BIG-IP's non-floating self IP address have connectivity to the internet?

How are its routes configured? By default, connectivity for services such as Live Update, IP Intelligence, and others uses either a non-floating self IP address or the management IP address, depending on the corresponding route.

Live Update Automatic Installation:  The BIG-IP ASM system consults the Traffic Management Microkernel (TMM) and Linux routing tables when requesting attack signature updates using the Automatic Method. The source IP address for the resulting traffic uses either a non-floating self IP address or the management IP address, depending on the corresponding route. If internet access is not available for automatic updates, the system reports error messages in the configuration utility. link.