“equality of size and power between males”
– the information I have is that Homo erectus were the first human species where the males and females were approximately the same size, which suggests that there was not much sexual selection for large males, which suggests that a male dominance heirarchy was no longer the way for males to win females, and that males were now approximately the same size. Homo erectus evolved around 1.8 million years ago, and its fossils are mainly in Asia.
The first direct evidence of stone tool use is from Africa around 2.5 million years ago, and indirect evidence is from Africa around 3.39 million years ago.
If stone tools were being used as weapons, and this removed the selection pressure for larger males, then it took around 1.5 million years to happen. Maybe the male dominance heirarchy is also a very strong selection pressure.
After males became the same size, and the human race became cooperative, in that order, then disputes between males over females would not have been settled by violence as a rule, but eventually, by society’s rules.