iPhone 4S won't power off I powered off my iPhone (sample instructions). I see the progress wheel for a few seconds after holding down the power button and sliding the 'slide to power off' and then I see the silver Apple logo as if it powered on immediately.

Is this a reset and not a power off? Did this before going to sleep and woke up with a dead battery.

I've struggled with low battery life and did the full replacment of operating system. If I have to go through that again, I'll get a new phone.

Version: 6.1.2
This indicates a hardware problem with your phone. Contact AppleCare, or make a Genius Bar reservation at your local Apple Store