Should I print my photographs on rock?

Will my digital photographs last as long as these petroglyphs? 

These Dark Angel images in Arches National Park made me wonder. Some petroglyphs are more than 10,000 years old. 

My images? While I triple back up all my files, my storage media constantly changes: CDs, gold CDs, NAS hard drives, SSDs and now, the Cloud.  

When storm clouds rapidly approached me at Dark Angel, I wondered: should I be printing onto stone.