IBM has created a supercomputer with more cerebral capacity (as measured by neurons and synapses) than a housecat:
The simulator, which runs on the Dawn Blue Gene /P supercomputer with 147,456 CPUs and 144TB of main memory, simulates the activity of 1.617 billion neurons connected in a network of 8.87 trillion synapses. The model doesn't yet run at real time, but it does simulate a number of aspects of real-world neuronal interactions, and the neurons are organized with the same kinds of groupings and specializations as a mammalian cortex. In other words, this is a virtual mammalian brain (or at least part of one) inside a computer, and the simulation is good enough that the team is already starting to bump up against some of the philosophical issues raised about such models by cognitive scientists over the past decades.
...[B]uilding a highly accurate simulation of a complex, nondeterministic system doesn't mean that you'll immediately understand how that system works—it just means that instead of having one thing you don't understand (at whatever level of abstraction), you now have two things you don't understand: the real system, and a simulation of the system that has all of the complexities of the original plus an additional layer of complexity associated with the models implementation in hardware and software.
On the other hand, I've met a number of cats in my day, and as cute as I think they are...do your really need that much computing power to outsmart one? I've seen gerbils do it.