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Many users of RSJoomla.com Rsform Pro faced this issue while clicking on submitting the form and form is not submitted and returns as page refresh on same page. Here is the solution that might work for you.
This issue usually comes when you are embedding rsform in either joomla article, joomla module or K2 article. Most of the time issues comes with K2 content. Either fix the issue with K2 or use form link directly. You can make a menu link directly to the rsform form. This way the problem will be fixed.
Hope this helps!