WordPress - Force Logout and Redirect After Logout

functions.php

function amu_force_logout() {
	$timeout = 300; // 5 minutes

	if ( !is_user_logged_in() )
		return;

	global $user_ID;
	$last_login = get_user_meta($user_ID, 'amu_login', true);

	if ( time() > ( $last_login + $timeout ) ) {
		wp_logout();
	}
}
add_action( 'wp_head', 'amu_force_logout' );
add_action( 'admin_head', 'amu_force_logout' );

function amu_redirect_after_logout() {
	$redirect = home_url('/'); // redirect url

	wp_redirect( $redirect );
	exit();
}
add_action( 'wp_logout', 'amu_redirect_after_logout' );

function amu_save_last_login( $login, $user ) {
	update_user_meta( $user->ID, 'amu_login', time() );
}
add_action( 'wp_login', 'amu_save_last_login', 10, 2 );