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The movie "Predestination" with Ethan Hawke is based on this story.

Predestination was a trip, I recommend it for anyone looking for an interesting weird movie.

I had no idea it was based on a Heinlein story.

Azimov.

"-All You Zombies-" (the basis of Predestination) was written by Heinlein, it's the subject of the linked Wikipedia article.

If you want to read the story:

I didn't realize it either. As I was reading the wikipedia article I kept thinking this sounded familiar then started to remember bits of the movie.