The compilation film will recap the anime's 59 episodes from seasons one to three.

Recap of episodes 1-13.

In the scientifically advanced Academy City, a miracle is about to occur: the completion of the world's first space elevator, "Endymion." Meanwhile, a certain high school student, Touma Kamijou, and his companion Index are going about their daily lives when they encounter and befriend Arisa Meigo, a cheerful and ambitious singer. When strange occurrences begin taking place throughout the city, they lead to the discovery of an intricate plot surrounding Arisa and Endymion. Things only get more complicated when the Stiyl Magnus appears, signifying that the magical world is somehow involved too...

[Written by MAL Rewrite]

A devil sends two cities; Kujukuri City in Chiba Prefecture and Dallas in the U.S., to ten thousand years ahead in the future, makes them fight each other, and enjoys watching over the fight. The devil's name is Bazusu. So Tanbara Gai, a member of Time Patrol, fights this devil to stop the atrocity.

(Source: AniDB)