I just downloaded 3.8.1 and can confirm that there is no line 944 in that file so that error really doesn't make any sense. Since you have a totally default vbulletin board, I'd suggest putting in a Support Ticket and having the vb guys take a look.
Actually, before you do that... I just looked at your board and it is not totally default - the postbit has extra stuff added. So, try these two things first:
Create a new style with no parent:
Styles & Templates > Style Manager > Add New Style :
Parent Style: No Parent Style
Title: Default vBulletin
Allow User Selection: Yes
Save
Then browse the site using that totally default vbulletin style - do you still have the same problem?
If it is still happening - Try disabling your plugins and see if you still have this problem.
Note: To temporarily disable the plugin system, edit config.php and add this line right under <?php
PHP Code:
define('DISABLE_HOOKS', true);