While the Gibson List contains many great songs when it comes to performing on a Gibson in the 80s these lists are often absent of substance, it's as if the magician made an elephant disappear from the room.
In this link here that I provide there are no smoke and mirrors. What we have here is a Frank Zappa guitar solo performed on a Gibson Les Paul. Five plus minutes of an unadulterated guitar air sculpture. 100 % absolutely live at Southern Illinois University, Carbondale November 15, 1980. Fittingly titled
Now You See It - Now You Don't
http://youtu.be/7L-m-E3_2q?c

It's working now. There was an HTML formatting issue that has been resolved. Thanks for making note of a problem.
Where is the link to the Gibson article? Both links go to the video.