Mnemosyne: Mnemosyne no Musume-tachi

Synopsis

The episode opens with Koki's son Teruki having sex with a girl named Ruon via a virtual reality network called "2.0". He offers to meet her in real life ("1.0") but she refuses. Later, he meets Ruon in 1.0 only to witness her murder. Teruki finds Tamotsu, who brings him to Asougi Consulting. Mimi explains that Ruon is actually an AI created by Katsuyuki Kamiyama, a modern von Neumann. Rin takes Teruki for a walk but they are attacked by Laura, now a cyborg, who mutilates Rin considerably. Teruki is shaken by the sight of Rin regenerating so she tells him about time fruits and immortals. Teruki suffers a mental breakdown but she comforts him. Mimi and Tamotsu discover that Ruon was created during "Project L'Isle-Adam", based on Kamiyama's daughter whom he killed. Ruon calls to invite Teruki to 2.0 but they are attacked by Kamiyama and Mimi severs the connection. Immediately thereafter, commandos attack the office forcing them to flee. En route, Mimi explains that Ruon might have been an attempt to create "The Future Eve". The military attacks again and Teruki is taken away. Back in the office, Rin and Mimi realize that the girl Teruki met in 1.0 was an android with Ruon's AI. Tamotsu calls to tell the flight number that Teruki is on but is fatally shot by a sniper. Rin boards the plane as it takes off, only to find Kamiyama shot by android Ruon. Ruon is revealed to have manipulated the military to get Teruki, the only person she cares about. Rin pushes Teruki out of the plane with a parachute and after a brief fight, she and Ruon fall out of the plane and into its jet engine together. Some time later, Teruki finds that Rin's office was demolished. Mimi is shown bringing flowers to where Tamotsu was shot. Rin's fate is uncertain.
(Source: Wikipedia)