Thanks. It turned out that I had a conflicting file from the Community Squeeze site, which I use for the community version of the Logitech Media Server -- the old Squeezebox Server -- for my networked music players. The file was their ffmpeg2-libs rpm (the file is here: http://www.communitysqueeze.org/repo/19/x86_64/ffmpeg2-libs-2.0.1-1.fc19.x86_64.rpm
), but I was only using it for the Squeezelite player. The Community Squeeze site states that it depends on RPMFusion for dependencies, so I'm not entirely sure why there is a conflict. I've been trying to find a place to file a bug with the Community Squeeze people, but so far have had no luck.
FYI, their squeezelite package depended on the ffmeg2-libs file, but if I compiled it from source, it wasn't needed, so I removed the package and compiled from source.