The altered artificial-intelligence system in Terminator: Genisys is called Genisys. In that film’s revised timeline, Genisys is presented as a global operating system that becomes connected to users and devices before its deeper identity is revealed.
The name replaces the familiar Skynet framework for much of the movie’s contemporary storyline. Terminator: Genisys uses time travel to create an alternate continuity, so events and identities differ from those established in the earlier films.
This answer is often confused with Legion, the artificial intelligence introduced in Terminator: Dark Fate, or Skynet, the system associated with the original continuity. Genisys is specific to the 2015 film and its altered timeline. The movie was directed by Alan Taylor and stars Arnold Schwarzenegger, Emilia Clarke, and Jai Courtney.