IPhone 5 Shutting down and restarting?

IPhone 5 Shutting down and restarting?

Added (1). My iPhone 5 is less than 2 years old. I replaced the battery in November 2014. Now starting two days ago my iPhone will randomly shut down and restart itself. However the screen glitches before restarting. The phone will not stay normal for more than 3 minutes without restarting itself. There's no water or external damage to the phone whatsoever. I have a apple appointment sunday, will the replace/fix the iPhone with no charge? Also if anyone knows how i could fix this please let me know!

Sounds like a software issue, have you tried a factory reset?

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