Is VMware Fusion 5.0.5 compatible with OS X El Capitan?
According to the following VMware kb article: System requirements for VMware Fusion (2005196) VMware Fusion 5.0.x is not compatible with El Capitan as hosting OS.
After upgrading to El Capitan you need at least VMware Fusion 7.x.

Fusion 5.x
Any 64-bit capable Intel Mac (compatible with Core 2 Duo, Xeon, i3, i5, i7 processors or better)
Mac OS X 10.6.7 Mac OS X 10.8 or Mac OS X 10.9, either Client or Server
...
Fusion 6.x
Any 64-bit capable Intel Mac (compatible with Core 2 Duo, Xeon, i3, i5, i7 processors or better)
Mac OS X 10.7, Mac OS X 10.8 or Mac OS X 10.9, either Client or Server
...
Fusion 7.x
Any 64-bit capable Intel Mac (compatible with Core 2 Duo, Xeon, i3, i5, i7 processors or better)
Mac OS X 10.8 or later
...
Fusion 8.x
Any 64-bit capable Intel Mac (compatible with Core 2 Duo, Xeon, i3, i5, i7 processors or better)
Mac OS X 10.9 or later
...