Yes this is exactly I have seen here too.
There is more than enough space on disc, user is logged in as admin and starts the exe with RMB "Run as Administrator"
All rights for the folders are set completeley,
What we can see was the error as last line in SE....log under %temp%
can't create folder c:\SEWEBInstall\Solid Edge
I also have created this folder manually and restarted the exe as admin.
As mentioned by @Dariusz_IE there maximal is a short blink and this was it.
Download and install 7-Zip:
Once you have 7-Zip, browse into the C:\SEWebInstall folder.
On the first 7z file, "Solid_Edge_Web_Package_ST10.7z.001", open this in 7-Zip.
You should then be see the Solid Edge folder and manually extract this folder to the disk:
If you do not see the Solid Edge folder in this .001 file then one or all of your .7z files is corrupted.