How do I remove outer/container divs from a view?
You should override the views-view.tpl.php, not the views-view-unformatted.tpl.php.

The two divs you mention are originating from sites/all/modules/views/theme/views-view.tpl.php, check out lines 30 and 55.

If you copy this over to your theme's templates folder, and rename to be specific to your page/block display, you can remove that part of the template's code and you should get what you need. 


  cp sites/all/modules/views/theme/views-view.tpl.php 
  sites/all/themes/your_theme/templates/views/views-view--your-ul-page.tpl.php


N.B.: This is exactly what the other post's accepted answer is doing in the first part, before going into Semantic Views configuration, you can ignore that part. Here is a modified/simpler version of the code snippet from that answer, for quick reference:

&lt;div class="&lt;?php print $classes; ?&gt;"&gt;     // 30: delete this line
  &lt;?php print render($title_prefix); ?&gt;
  &lt;?php if ($title): ?&gt;
[...]
&lt;?php if ($rows): ?&gt;
    &lt;div class="view-content"&gt;  // 55: delete this line, 
      &lt;?php print $rows; ?&gt;
    &lt;/div&gt;                      // 57: delete this line
  &lt;?php elseif ($empty): ?&gt;
[...]
&lt;/div&gt;&lt;?php /* class view */ ?&gt; // 90: delete the div from this line


Good luck!