Custom Post Type with archive page but no detail page

I want to have custom post type that have only title and archive page, but no detail page.

Here is what custom post type code:

add_action( 'init', 'register_cpt_trivia' );

function register_cpt_trivia() {

    $labels = array( 
        'name' => _x( 'Trivia', 'trivia' ),
        'singular_name' => _x( 'Trivia', 'trivia' ),
        'add_new' => _x( 'Add New', 'trivia' ),
        'add_new_item' => _x( 'Add New Trivia', 'trivia' ),
        'edit_item' => _x( 'Edit Trivia', 'trivia' ),
        'new_item' => _x( 'New Trivia', 'trivia' ),
        'view_item' => _x( 'View Trivia', 'trivia' ),
        'search_items' => _x( 'Search Trivia', 'trivia' ),
        'not_found' => _x( 'No trivia found', 'trivia' ),
        'not_found_in_trash' => _x( 'No trivia found in Trash', 'trivia' ),
        'parent_item_colon' => _x( 'Parent Trivia:', 'trivia' ),
        'menu_name' => _x( 'Trivia', 'trivia' ),
    );

    $args = array( 
        'labels' => $labels,
        'hierarchical' => false,
        'description' => 'Few line text with no detail pages.',
        'supports' => array( 'title' ),

        'public' => false,
        'show_ui' => true,
        'show_in_menu' => true,
        'menu_position' => 20,

        'show_in_nav_menus' => false,
        'publicly_queryable' => true,
        'exclude_from_search' => true,
        'has_archive' => true,

        'can_export' => true,
        'rewrite' => true,
        'capability_type' => 'post'
    );

    register_post_type( 'trivia', $args );
}