why does commerce pricing rule increase price before decreasing price?
Answer: It doesn't.  The checkout page just makes it look like that because all those line items have already had the discount applied to them and the view does not show that.

So my new questions are:


How to display original price on the product display? (Because only the discounted price is shown to authenticated users)
How to display the original price in the cart and checkout forms?


But original question answered.