This is the Verizon firewall log event.  I cleared the firewall log in hopes that only this message would show in the error log, so there's only one or two error messages showing as of this screen capture.  In the course of about 5 minutes, this error message will completely fill up the error log.  If you increase the size of the error log, it will fill that up too.  If you could still access the Internet, it wouldn't really matter what the firewall is doing but, when this kind of message fills up the error log, you can't get on to the Internet.  That's the problem.

Verizon's technical assistance was that they thought I was accidentally logging onto my neighbor's Verizon router over wireless by mistake.  That's absurd.  To do that one would need their neighbor's SSID and their password and you'd have to have wireless enabled.  As I noted to Verizon, a reasonable person would turn all wireless off at the first sign of any security problem, which I did long ago.  I don't employ any wireless anything anywhere.

When the firewall starts recording voluminous messages "of type [44]", you're not going to get onto the Internet, which means that unless you have another ISP, i.e. AT&T wireless, you can't even report the problem on Verizon.com, though you might be able to call them up and get the kind of tech support noted above.  Largely, ISP tech support people are going to want you to disable any software and/or hardware firewall and connect your computer directly to the router.  In a matter of seconds, that computer will have trojans, virus', etc. and will cease to function normally, in which case, it's then a computer problem, not a Verizon problem, so their tech support is done at that point.  That's essentially job security.  It's a way to get a caller off of the tech support line, without admitting any Verizon wrong-doing and score a successful fix for the tech support agent's quality control statistics.

Evaluating just this one error message, just as an example because in the ensuing minutes there were scores more such messages, the amount of data sent to your router at a minimum of 512 bytes per packet, minimally one packet per message and 8 bits per byte (not counting overhead bits), the router is intercepting at minimum:

512 bytes/message x 113 messages/second  x 8 bits/byte = 462848 bits/second every second.

Additionally, the Verizon router/firewall has to process those packets as errors and generate error messages, so your router may slow down and become unresponsive.  In any case, you won't be able to access the Internet.  That seems to be the point.  Successful intrusions seem to largely involve over-running a system's capability, it's stacks or heaps.

What I've found works best is just to turn the Verizon firewall/router off and go shopping, go running, take a nap...do anything and come back several hours later to try again.

Whether it's a function of something Verizon is doing or whether it's a hacker who has chosen to focus on you, this requires a minimum of two routers to be a problem: a transmitting router and a receiving router: yours.  If you turn your router off, then that or those other router or routers are simply wasting their time and effort, if it's a hacker.  If it's Verizon, eventually they will stop doing it before a supervisor or a supervisor's supervisor notices it.  Either way, the solution is to simply turn your router off for a while.

It's not much of a solution, granted, because you can't use the Verizon FIOS Internet access you're paying for when you want to use it but then if you could switch to AT&T WorldNet you probably already would have done that, so you just have to live with the service Verizon provides until you can find a more agreeable service.