Hi,
To my knowledge,you cannot publish the form to a SharePoint list. But you can get the same data as in the sharepoint library to which you are submitting the data. To do this, follow the below steps.
1. Open the main shrepoint library.
2. In Actions, select ‘Edit in DataSheet’.
3. In Actions, select ‘Export to spread sheet’.
4. Click Save and save to your local machine.
5. Double on the file which is saved on your machine. Then you will see a excel sheet with a window. Click enable in that window.
6. In the design tab, click on Export. Then click on ‘Export table to sharepointlist’.
7. In the address text box, enter the sharepoint url.
8. In the name textbox, enter the sharepoint list name.Click Next.
9. Click Finish. Then you will get a window with the url of sharepoint list .click on that.
10. You will see the sharepoint list with the data view. Go to Actions, click on ‘Show in Standard view’.