How to improve this user-web login collaboration?

I’m trying to design an user login (into a web-based system) process using BPMN 2.0 (see the diagram below). But I don’t know if the diagram is correct. I have a problem understanding collaboration between participants (pools). How can I make it so the user only logged in if the System has successfully logged him in first?

My diagram: https://cawemo.com/share/9a07f418-1744-460a-b386-59cc989009f0