A new name is being sought for the National Theatre's temporary space which launched last year as The Shed.
The Shed name was dropped at the end of April after the expiry of a licence agreement.
The 220-seat auditorium - which has been likened to "an upside-down red wooden cow" - is now referred to by the NT as its "temporary theatre".
The venue was originally a one-year project but it has been granted permission to continue until 2017.
The Shed was created to fill the gap created by the closure of the Cottesloe Theatre in 2013, as part of an £80m redevelopment programme. It will reopen as the Dorfman Theatre later this year.
A National Theatre spokesperson said: "We only had a licence to use the name The Shed for a year from April 2013, which was the length of time our venue was originally built for."
The NT had been allowed to use the name by Simon Thackray, of The Shed in Ryedale - a small music and poetry venue on the edge of the North York moors.
Mr Thackray, who founded The Shed in 1992, confirmed to the BBC that he had granted the National Theatre the use of his registered trade mark for one year.
Meanwhile, the National's temporary theatre will host two more plays in 2014 - Yellow Face by David Henry Hwang and Polly Stenham's Hotel - before it goes quiet and reopens in 2015.
The National says it is "in discussions" about finding a new name for the venue.