This is a TAS of the Japanese Super Mario Bros. 2., a.k.a. 'The Lost Levels', using a suboptimal punk called 'Luigi'.
He jumps higher than Mario, but acts slower in many ways.
However, the movie is in no way worse than the Mario version - some new creative solutions have been found.
Read the authors' comments for details.
In the strange-looking screenshot of this entry,
we see Luigi becoming taller.