IPhone 4 randomly shutting off?

I just got an iPhone 4. I charge my phone all night, but after about an hour of not using it, it turns off on it's own. When I get home, I plug it in and it shows that it was dead. How can this be if I have charged it all night? I currently have the iOS 7 Beta also. Please don't tell me to try and do a "hard reset" because I have done this repeatedly and continuously and get no response from it.

Go to a phone professional.

Maybe it's a IOS 7 problem? Cause it's a beta version. Some features not configured well. Downgrade your firmware to IOS 6.1.3 or 5.1.1! For the good results.

Is your UDID registered? This has been happening to people that run iOS 7 without registering their device's UDID with a developer account through a site like http://www.udid.in/.It's $5, and then you also don't need to worry about Apple disabling your device for running unreleased software.

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