More than

Hello. Let me ask you a question about more than.

I think in the following sentence the verb comes after "more than" need agreement with the subject.

1. It shows that women have done more than be house wives.

I would rather guess

1. It shows that women have done more than have been house wives.

is a correct one.
How do you think of this?

The first sentence is correct and the second one isn't. Similarly, we say "The president did more than sign papers" and "When hotel maids clean a room, they will do more than make the beds."

Thank you for your very prompt answer.
I would like to ask the reason the verb coming after more than always takes original form.
Is it because your conscious focuses on the future, i.e. what you will do next?

As a native English speaker, I haven't had to think about the reason. When I try to think about it now, the closest I can come to an answer is that "be housewives" and "sign papers" are used in the place of nouns in the example sentences. Although "than" is a conjunction, it is used as a preposition in sentences like those. "Be housewives" is the object of this preposition.

As a former housewife, I reject the notion that being a housewife is a lesser calling. Housewives do quite a lot. It was the hardest job I've ever done and for zero pay.