How curious! I've always thought it will be the other way around.
Your assertion assumes either Doomsday scenario (where humans wipe themselves from the face of Earth, and automated machines keep going for a few more decades until disrepair catches up) or some sort of Singularity that makes humanity itself obsolet (a.k.a. Nerd!Rapture).
On the other hand, History teaches that every civilization has their decline and fall. I suspect that software in its current incarnation (electromagnetic encoding of behaviors on a semiconductor based machine) is so tied to our current civilization that it will not survive more than 1 or 2 centuries at the most. But it is easy to imagine future civilizations thousands of years from now that have sophisticated forms of information processing which people alive today would not recognize as "software", even if the principles behind those are the same.
I thought I was taking an optimistic view? Software is a tool like fire or the wheel. Barring a "Doomsday" (which I don't envision), our descendants won't give it up, even if they use vats of bacteria or lattices of anti-quarks or something even less recognizable as "hardware". One can imagine them giving up humanity and civilization. Eventually, both of those will seem pointless to anyone who isn't an antiquarian weirdo.
you seem to be conflating observation with arrogance. what, pray tell, makes you believe software will vanish? will there be a civilization post-agriculture or literacy? software is bigger than both.
I don't have a car but I haven't existed long before cars. Home Depot may have existed without using software, but a company created more recently than unix wasn't around "long before software"
It'll exist long after software, too.
Remember that we live in a bubble.