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Glad to help.
Actually it is recommended to have the visitor log in before filling out the form. That can be done with Access Control shortcodes, for example:
[usp_access cap="read"][user-submitted-posts][/usp_access]
[usp_visitor]Log in required: [usp-login-form][/usp_visitor]
With that on your page, the first three lines will display the form only if the user is logged in. The second three lines display any message or markup you want displayed to visitors who are not logged in. For example, you could include the shortcode for the login form, and so forth.
For more details/options, check out the plugin’s Installation guide.