@ThatBootsGuy - I found those unreleased Petrucci tracks that he’s playing on this years G3 tour. Someone from the Seattle show kindly uploaded some decent video.
The first part of this one (up until ~5:12) is new and then he jumps into Jaws of Life from his solo album.
Then there’s this unreleased one that sounded about 100 times better in person and was super heavy:
Then there’s this one. It has more of a Satch feel to it and is in a similar vein to his track Glasgow Kiss from his first solo album: