Why does my 2004 Arctic Cat 50cc ATV keeps shutting off?

It runs for 5-10 minutes then stalls. It then becomes hard to start almost as if it is a vapor lock or it's not getting fuel. I have rebuilt the carburetor and put a new fuel filter on.|||You may have an ignition system problem. Possibly a electronic ignition module. These type of problems are difficult to determine and may actually require a not so smart piece by piece trial and error. Firstly, it may be assumed this is a temperature problem but not absolutely. I would run the machine without the air cleaner and obviously make sure there is not dirt around to suck in. Then wait for the machine to 'stall'. Quickly try to restart it. If it does not start, I would spray a small amount of starter fluid or mixed fuel into the carb and try and restart. If it tries to run then that would lead me back to the fuel system. Hopefully it will not ignite. Then that would lead back to the electrical side. Maybe you could do an ohm check on the kill switch to see if it is possibly shorting. No matter what it is discovered to be, when you find it, you will be a whole lot smarter for the next time. Hope this helps. It is my best guess.