> Not to the best of my knowledge just have this:
>
> 01:00.0 VGA compatible controller: Advanced Micro Devices, Inc. [AMD/ATI] Cedar
> [Radeon HD 5000/6000/7350/8350 Series]

rpm -qa | grep -i fglrx

Does this help, from gdb /usr/bin/mate-session /var/lib/systemd/coredump/core.mate-session.1000.d7ae5cd424f743dcbbdad920fbc58b7b.2731.1510340293000000       
[...]
Reading symbols from /usr/bin/mate-session...Reading symbols from /usr/lib/debug/usr/bin/mate-session.debug...done.
done.
[New LWP 2731]
[Thread debugging using libthread_db enabled]
Using host libthread_db library "/lib64/libthread_db.so.1".
Core was generated by `mate-session'.
Program terminated with signal SIGSEGV, Segmentation fault.
#0  0x00007f3ffb453627 in XGetXCBConnection (dpy=dpy@entry=0x55e55b465000) at x11_xcb.c:9
9               return dpy->xcb->connection;