Of course, as soon as I post, I figured it out. 
/includes/classes/observers/class.savecart.php
Code:
$zco_notifier->attach($this, array('NOTIFY_HEADER_END_CHECKOUT_CONFIRMATION','NOTIFY_HEADER_START_LOGOFF'));
Code:
case 'NOTIFY_HEADER_END_CHECKOUT_CONFIRMATION':
setcookie('cart', '', time()-1000,"/",(zen_not_null($current_domain) ? $current_domain : ''));
setcookie('cartkey', '', time()-1000,"/",(zen_not_null($current_domain) ? $current_domain : ''));
break;
case 'NOTIFY_HEADER_START_LOGOFF':
setcookie('cart', '', time()-1000,"/",(zen_not_null($current_domain) ? $current_domain : ''));
setcookie('cartkey', '', time()-1000,"/",(zen_not_null($current_domain) ? $current_domain : ''));
break;