String keeps breaking?
 

I have an Epiphone SST nylon string electric guitar. It is similar to the Gibson Chet Atkins guitar. The high e string keep breaking and I'm unsure as to why. To be clear, it's breaking when not being played. I'll restring it and put in on the rack and a week later the string is broken. Any ideas on what may cause this? Perhaps a rough nut or saddle?

Where on the strings are the breaks occurring?

It appears to be breaking near the bridge.

I'd look at a burr on the saddle or bridge near the ties as the source of the string break.

It only takes a small sharp edge to cut / degrade the string.