What are things you wouldn't compromise at all?

What are irreconcilable differences that you couldn't compromise at all in a relationship?

For me, these are 3 main differences I wouldn't negotiate at all:

- He believes in corporal punishment towards kids.

- He's a religious fanatic that's trying to force god and religion on me.

- He wants cohabitation but not marriage.

Updates
9 mo
I think those 3 NO's to me are things I can't reach a middle ground with. There is no compromise on that. It would be like water and oil; they don't mix.
What are things you wouldn't compromise at all?
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