This puzzle is part of the Puzzling Stack Exchange Advent Calendar 2022. The accepted answer to this question will be awarded a bounty worth 50 reputation.< Previous Door Next Door > I've finally done it! The directors have approved the print run unaware that this year a grinchly message has been...

Consider the set $S$ := { "the number of lies in the set $S$ is a multiple of $n$" | $n$ = 1, 2, 3, ... ,119, 120 }. Question: Which elements/sentences in the set $S$ are true in every possible non-contradictory cases?

Merry merry merry! Merry merry! Christmas merry merry Christmas a! Puzzling Stack Exchange Advent Calendar 2022. Merry! Merry Christmas merry merry! Merry! Merry merry merry Christmas! Merry! Christmas Merry and New Year! bounty worth 200 reputation.< Merry Christmas! Merry Christmas Christmas me...

I've curated a nice selection of Christmas movies on tape and DVD. Unfortunately, what I wrote on each one was not the film's title but a subtitle that I had made up for it.* Oh, and the year of publication. See if you can find the correct title for each one. A cut that bled through its adhesive...