OK, I got it. No one else will have to experience anymore now that they've released the installation for Solution Manager 7.1 SR1 SPS 10.
There is some conflicting documentation about which version to install.
In short:
Windows 2012
Solution Manager 7.1 SR1 SPS 04
CA Wily Introscope OSGI 9.1.0.2
CA Wily Enterprise Manager 9 SP10
Extract CA Wily Enterprise Manager
Copy eula.txt into the extracted folder.
Accept the agreements in eula.txt and ca-eula.txt
Update the installer.properties file as necessary
Copy the CA Wily Introscope OSGI zip file into the extracted folder
Run the Introscope9.1.0.2windowsAMD64SAP.exe
Follow the CA Wily Introscope installation guide for 9 not 9.1.5.
and so on...
After you've updated your Solution Manager to SPS 08 or later, you can use CA Wily Enterprise Manager 9.1.5.
Thank you so much everyone!