Ah, I see you have picked 1 criteria to decide whether rats or humans are the most advanced lifeform. This is a classic mistake that everyone I have had this debate with falls into.
Firstly, it is easy to demonstrate that your reasoning is false. People have been trying to wipe out rats for centuries. There was a project to wipe them out from a small offshore island, to protect the seabirds that nested there. It has taken over 10 years and the rats are still there. Also I'd bet on the rats to survive a nuclear war or global environmental disaster over the humans.
Secondly, if it were true, then I could use your logic to argue that since the Chytrid fungus is wiping out populations of amphibians all over the world, then this fungus is more advanced than amphibians. Since vertebrates are all more closely related than the fungi-animal divide, this is counter intuitive to most people. It's easy to turn the human-centric view of the world upside-down. If you put 1000 humans out in the wilderness, naked and without any tools, you'd soon see how advanced we are as a lifeform.