After a nuclear disaster that destroyed most of civilisation, a scientist encounters, and starts a life with a lone woman, but when they take in a drifting man, a love triangle emerges between them, and he must challenge the stranger’s intentions. [Z for Zachariah, 2015]

Following a nuclear apocalypse, two men compete for the love of a woman who may be the last woman on earth.
(21 words)

Or as there are only 3 characters and there is no evidence of any survivors:

Following a nuclear apocalypse, the two last two men alive compete for the love of the last woman.
(18 words)

Or from the woman's point of view, casting her as the main character:

Following a nuclear apocalypse, the last woman alive must decide which of the last two men to take as her mate.
(21 words)

But I haven't seen the movie yet (it's in my queue) to ascertain which one may fit the best.

Following a nuclear apocalypse, two men compete for the love of a woman who may be the last woman on earth.
(21 words)

Or as there are only 3 characters and there is no evidence of any survivors:

Following a nuclear apocalypse, the two last two men alive compete for the love of the last woman.
(18 words)

Or from the woman's point of view, casting her as the main character:

Following a nuclear apocalypse, the last woman alive must decide which of the last two men to take as her mate.
(21 words)

But I haven't seen the movie yet (it's in my queue) to ascertain which one may fit the best.

The combination of genres, love story with post apocalypse, sounds interesting but the actual story doesn't.
I havn't seen this film so I don't know what happens in it.
What does the tension between the two men lead them to do? Is there a fight? Does one try to kill the other? Does the woman reject either one or both?

I believe that the logline could use a mention of the resulting actions the boys take?