When Does "Electronic Labyrinth: THX 1138 4EB" (1967) Take Place?
"Electronic Labyrinth: THX 1138 4EB" is a science fiction short film written by George Lucas that released August 23rd, 1967. So when is "Electronic Labyrinth" set?
It takes place in the year:
We know this because the second shot of the short includes a superimposed white title card implied to be from in-universe security footage that reads "Date : 05┋14┋2187" presumably representing May 14th, 2187 AD followed by a time of day and then repeating it. So it seems to currently be May of 2187 AD.

2187 AD
We know this because the second shot of the short includes a superimposed white title card implied to be from in-universe security footage that reads "Date : 05┋14┋2187" presumably representing May 14th, 2187 AD followed by a time of day and then repeating it. So it seems to currently be May of 2187 AD.
It was adapted as a feature-length film in 1971 as "THX 1138".