Cytus 2 by Rayarc - the entire premise of a world full of cute anime robots, rouge apocalyptic AIs and the music in the center of it all. Vivy could pass as a Cytus 2 anime adaptation all the fans are still hoping for.
I checked C2 website some days before 2.5 release and Cherry didn't had a description there, it ended on ConneR and now I checked it just now and saw she earned a description there and guess what, there is a ROBO doll on her name.
Link for the background image in the character screen
Our current guess is that it might be The Heart of Steel from Manowar's Kings of Metal MMXIV album.