1975 Janus Films.
Starring: Cathryn Harrison, Joe Dallesandro, Alexandra Stewart, Therese Giehse
Written and directed by Louis Malle
Available from Amazon in both DVD or Blu-ray formats.
In a film influenced by the writings of Lewis Carroll, as well as films like Robert Altman's Images, Cathryn Harrison plays a troubled young lady named Lily who may or may not be prone to vivid hallucinations. After encountering a battle between male and female military units where the men were eagerly executing women soldiers, Lily makes her way to a country estate (director Malle's home at the time) where naked children are busy rounding up sheep, a pair of sibling caretakers both named Lily (Dallesandro, Stewart), and an old lady (Giehse, who died shortly after production was completed) who when she isn't communicating with her pet rat or operating a bed side ham radio, is very demanding, and she is breastfed by both sister Lily and Lily herself.
Lily also begins noticing a unicorn parading around the estate, and she pursues it. After Lily is beaten up by the naked kids, she discovers that the unicorn can also talk. The unicorn turns up in the old lady's room, where Lily prepares to breastfeed it. And the movie ends.
Louis Malle has created a film that manages to be completely surreal at times, and at other times, it can be unspeakably boring. There isn't a lot of dialogue in the movie to explain things, so be prepared to make your own judgements about what's going on.