We'll need to see your full rule, including triggers, in order to answer this question. From the information provided, this rule looks like it should work if your trigger is "Basement Door Contact contact *changed*." If it's something else, and certainly if it's just the "contact open" event, it may not work as you expect.
Your device sounds like it's reporting states correctly, which is a great troubleshooting step to have done! The other thing you can consider doing is enabling all logging options in the Rule, then check "Logs" either live or after the fact to see what the rule is doing and when.
I havae not forgotten your reply. I have been consumed with other stuff. You were spot on my trigger was ON instead of Changed. I corrected and still no joy. When things free up I will do as you request above.