wp_logout logging everyone out instead of just the user that clicked the logout link!

Question

I want to display a different menu depending whether a user is logged into the CMS or not.

I'm using this for my menu:

<?php if ( is_user_logged_in() ) {
$args = array(
    'depth'        => 1,
    'show_date'    => '',
    'date_format'  => get_option('date_format'),
    'child_of'     => 0,
    'exclude'      => '5, 80, 83, 138', 
    'include'      => '',
    'title_li'     => __(''),
    'echo'         => 1,
    'authors'      => '',
    'sort_column'  => 'menu_order, post_title',
    'link_before'  => '',
    'link_after'   => '',
    'walker' => '' );
?>
<ul id="menu-list"> 
    <div class="menu-button">
        <?php wp_list_pages( $args, 'sort_column=menu_order' ); ?>
        <li class="page_item page-item-99">
            <a href="<?php $redirect = bloginfo('url'); wp_logout_url( $redirect ); ?>">
                Logout
            </a>
        </li>
    </div> 
</ul>
<div class="divider"></div>
    <p id="board">Viewing content for: <br />Aneurin Bevan Health Board</p>
<div style="margin-top:7px!IMPORTANT;" class="divider"></div>
<?php } else {
$args1 = array(
    'depth'        => 1,
    'show_date'    => '',
    'date_format'  => get_option('date_format'),
    'child_of'     => 0,
    'exclude'      => '25, 31, 33, 43, 93, 96, 99, 138',    
    'include'      => '',
    'title_li'     => __(''),
    'echo'         => 1,
    'authors'      => '',
    'sort_column'  => 'menu_order, post_title',
    'link_before'  => '',
    'link_after'   => '',
    'walker' => '' );
?>
<ul id="menu-list"> 
    <div class="menu-button">
        <?php wp_list_pages( $args1, 'sort_column=menu_order' ); ?>
    </div> 
</ul>
<?php } ?>

I'm using the following for a user to logout of the CMS:

<a href="<?php $redirect = bloginfo('url'); wp_logout_url( $redirect ); ?>">Logout</a>

Even though the page reloads after clicking the logout link, the menu doesn't seem to change. Does anyone know what's going wrong?

---

UPDATE

I've tried using <?php $redirect = bloginfo('url'); wp_logout( $redirect, $echo ); ?> which I thought was working perfectly until a colleague shouted across the room that they had been logged out too! Turns out it's logging everyone out instead of just logging out the user that clicked the logout link!

Answer 1

Seems as though the session needed to be destroyed with the following:

        <a href="<?php $redirect = bloginfo('url'); wp_logout( $redirect, $echo ); ?>">
            Logout
        </a>

Answer 2

Change this:

<a href="<?php $redirect = bloginfo('url'); wp_logout_url( $redirect ); ?>">Logout</a>

to this:

<?php wp_loginout( home_url( '/' ) ); ?>