Show Taxonomy Hierarchy for Current Post

I have been trying to achieve this with the following code:

<ul>
                <?php
                  $args = array(
                    'orderby'            => 'ID',
                    'order'              => 'ASC',
                    'style'              => 'list',
                    'show_count'         => 1,
                    'hide_empty'         => 0,
                    'use_desc_for_title' => 1,
                    'child_of'           => 0,
                    'hierarchical'       => true,
                    'title_li'           => __( 'Directory Organization' ),
                    'show_option_none'   => __('No Directory Orgs'),
                    'number'             => NULL,
                    'echo'               => 1,
                    'depth'              => 0,
                    'current_category'   => 0,
                    'pad_counts'         => 1,
                    'taxonomy'           => 'directory',
                    'walker'             => 'Walker_Category' );
                  wp_list_categories($args); ?>
              </ul>

I like this because it shows the nested terms properly, but it is showing all of the terms rather than just the terms associated with the post. Thanks in advance.