Ubuntu – Wifi not working – Ubuntu 12.04/14.04 LTS – Realtek 802.11d RTL8192EE

I have recently got a new machine, a lenovo thinkpad T440s. I am trying Ubuntu 12.04 on it and it cannot find my wifi. I believe this is due to missing the driver for my network adapter. It's 2×2 11b/g/n Wireless LAN M.2 (Realtek 802.11d RTL8192EE). I've been trying to find this answer elsewhere, but all I've surmised is that ubuntu really doesn't like these realtek network adapters. The downloads for the drivers I've found are all for windows, as well.

Note: I am a linux/configuration n00b, so please assume 0 knowledge of how to do anything on the terminal, etc.

Any suggestions?

Update: Switched to 12.04 because 13.10 is no longer supported. Same issue.

My current guess is that there is currently no open source support for the proprietary drivers, ergo, there is perhaps no solution within Ubuntu. If this is the case, could anyone suggest what my options may be? Are there any workarounds, or another distro which would support it – or is this native to the entire linux kernel?

Update 2: It doesn't work on 14.04 either.

Update 3: I followed the instructions here: http://ubuntuforums.org/showthread.php?t=2190347&page=2
Didn't work.
Here is the output of the script: http://pastie.org/9686848
Here is the output of lshw: http://pastie.org/9686851
rfkill list showed nothing blocked: phy0: Wireless LAN
Soft blocked: no
Hard blocked: no