name of ANOTHER house m.d. piano song

There are two songs that House plays with Dave Matthews in the episode "Half-Wit." He says that he wrote one of them in high school, and there isn't any info about the other one. If you know what these songs are, please reply!!!

I found this:

Music in the Episode

* Last song of the episode as House walks alone:
"See the World" by Gomez on the album "How We Operate"
* About half way through the program as Foreman gets the consent form signed and drills into the patient's skull:
"Rainy Day Lament" by Joe Purdy on the album "Stompingrounds"
* The piano music House and the Patient of the Week were playing together:
1) Boomtown Rats' "I Don't Like Mondays."
2) The song that was supposed to have been written by House while he was in junior high was written specifically for this episode by the people responsible for the music on the show.