I've created a subtheme of the Premium Responsive theme. It was working fine until I tried to change some of the advanced theme settings within the subtheme's Appearance page. The parent theme adds settings for configuring social icons, a slideshow, etc., but unchecking some of the custom options and submiting the form resulted in a message saying "The configuration options have been saved", but the settings were returned to checked.
At first, I thought I needed to copy the theme-settings.php to my subtheme and customize it, but that results in two sets of settings displaying on the Appearance page, one for the parent theme and one for the subtheme (plus, still neither set of settings would stay unchecked when I submitted the form). This seems odd, since the Creating a sub-theme documentation, says "Theme settings set via advanced theme settings' theme-settings.php are not inherited."
So, how am I supposed to set custom theme settings within a subtheme? Do I need to implement a theme-settings.php file within the subtheme or not?