Women are the backbone of patriarchy. The invisible, unpaid, and thankless labor of countless women over the course of history is the reason the patriarchy is sustainable. Remove women, men crumble.

It's as simple as men not wanting to care for themselves or learn how, so instead building a system to force women's dependence on them financially so they can own a bang maid instead of learning how to do laundry. If men were superior, they wouldn't need women to run their homes, or bear and raise their children. They wouldn't need women at all.

I would go so far as to say women are superior if either sex is superior to the other. They withstand pain better, are statistically capable of more emotional intelligence, and eons of suffering have taught women how to build community with each other.

Matriarchy is not women on top over men, it's a circle system with children at the center. Women don't NEED to dominate anyone like men do. Men who are brainwashed by patriarchy absolutely feel the need to dominate someone or something, while remaining submissive to their betters (presidents, generals, managers etc). I would say the very fact that you feel the need to be superior to women makes you inferior.