Alain Resnais: Last Year at Marienbad

Trailer: 1961
1961 French New Wave film directed by Alain Resnais
from a screenplay by Alain Robbe-Grillet.
Plot: In an ornate baroque hotel populated by wealthy individuals and couples who socialize with each other, a man approaches a woman and claims they met the year before at a similar resort (perhaps at Frederiksbad, Karlstadt, Marienbad, or Baden-Salsa) and had a romantic relationship, but she responded to his request to run away together by asking him to wait a year, which time has now elapsed. The woman insists she has never met the man, so he proceeds to attempt to remind her of their shared past, while she rebuffs him and contradicts his account. Between interactions with the woman, a second man, who may be the woman’s husband, asserts his dominance over the first man by repeatedly beating him at a mathematical game (a version of Nim).
https://en.wikipedia.org/wiki/Last_Year_at_Marienbad