Children of Men meets Hunger Games?
There?s an interesting dystopian vibe about your logline but honestly, the first part of your logline feels disconnected to the second part. How they relate to each other feels muddled ? the human race has a fertility problem so babies are raised in vitro via artificial wombs. Then a company discovers a hormonal treatment that may be the answer to fertility but the 5 pregnant test subjects have to compete to be the one to bring a child to term? Why can only one woman bring her baby to term? Also, the choice of a president as the protag feels a little passive ? a president is active by legislating ? not the most cinematically engaging. Unless your president does some actual ass-kicking :)
Protag ? President Hauter
Goal ? prevent the pregnant Hunger Games?
Antag ? company that wants to hold the pregnant Hunger Games
Stakes - ? If Hauter prevents pregnant Hunger Games then babies still can be born in vitro, so back to square one
Hook ? ? pregnant Hunger Games
Just a thought: what if the villain (the hormonal treatment company) sells the fertility treatment to those who can pay (the 1%) and hold a lottery for the commoners (the 99%) and those chosen compete in a type of competition to get pregnant?
Best of luck!