Comment on Remove WordPress Meta Generator Tag by SEO Dave.
<?php include (TEMPLATEPATH . "/bot-nav.php"); ?>
Based on bot-nav.php is probably just the code for the next and prev links removing the above line from single.php would remove the next and previous links.
Alternatively emptying the bot-nav.php (delete everything within it). though if the code is used for other next and previous links, they’ll be gone as well.
I note the WordPress theme you mentioned earlier is a premium theme: WP Video Theme from Solostream (you paid for it). Don’t they have a support system for this sort of stuff?