1994, sci-fi movie.

Just another cheesy mid-90s post-apocalyptic sci-fi movie. After nuclear fallout, most of the human race has been killed, or mutated. Cyborgs with superhuman strength hunt down what's left of humanity. Our protagonist must save a cute damsel named Mary. He must bring her, and her unborn child across the city, and to a port, where a ship destined for Europe waits (where a resistance is being held against the cyborgs, and things are "better").

As we could have guessed, Mary's child is the last human child, and the ultimate fate of the human race.