By 2012, she was already famous enough for the Simpsons to envision her inevitable Super Bowl performance. Since Lady Gaga voiced herself in the episode, maybe it's unfair to say the Simpsons "predicted" her performance. Maybe they just inspired her.
The stage-flying parallels between that Simpsons episode and Super Bowl LI were a little too much for the internet to handle.
Lady Gaga The Simpsons 2012 / Lady Gaga Super Bowl 2017 pic.twitter.com/OUpedo1czi— j (@JeremiasM_) February 6, 2017
So in case you missed that episode of the Simpsons from five years ago, here's Lady Gaga's identical halftime performance (with slightly less boob glitter):