If you inherited a home from your dad, then sold it, click this link for info on reporting the Sale of an Inherited Home.
If you had a Capital Gain on the sale, this would be reported on Schedule D and would increase your taxable income, as you mentioned.
It is possible that the amount of your Capital Gain is being taxed at 0%, so your tax amount did not increase.
Click this link for more info on How Capital Gains are Taxed.