The description of your scenario is a bit confusing; it seems like the terms form library, document library and list are getting mixed up.
A SharePoint List can have its corresponding list form that submits an individual item to that list. That form won't submit to a form library.
A SharePoint Form Library can have a regular InfoPath form that submits XML forms to it. This won't submit individual list items to a SharePoint List.
A Document Library stores documents (Word, Excel, etc.).
In order to submit data from a regular InfoPath form (not a list form) into both a Form Library and a List, here's one method: http://www.infopathdev.com/blogs/matt/archive/2006/02/02/Add-SharePoint-List-Items-with-InfoPath.aspx (there may be other methods - quick Google search will find those).
qRules also includes a command (SubmitToSharePointList) which performs this action.
Hope this helps!