In a statement, the Prince Charles Cinema said it had been told the film "was an 'experiment in filmmaking' by a filmmaker hoping to engage in the discussion about AI and its negative impact on the arts.
"The film's content reflected this, so the hire team took the booking."
It explained the screening was subsequently cancelled following feedback which "highlighted the strong concern held by many of our audience on the use of AI in place of a writer".
"Our decision is rooted in our passion for movies and listening to those who support what we do," the cinema added.
The use of AI featured as a central point of contention in the strike by the US actors' union Sag-Aftra last year, which brought much of Hollywood to a standstill.
It continues to be a major concern for many in the entertainment industry, with programmes like ChatGPT relying heavily on copyrighted material for their development.
The issue has now made its way to the UK government's in-tray, with MPs calling for interventions to ensure artists receive fair compensation when their work is used by AI developers.