Excluir PHP Cookie?

Atualmente, tenho um conjunto de cookies da seguinte forma:

setcookie("username",$username,time()+3600*24*5);

Como é que eu limpo o valor desse cookie para que o nome de usuário do usuário não seja mais preenchido?

Eu limpei da seguinte forma:

setcookie("username","",time()-60000);

O nome de usuário do usuário ainda aparec

O formulário HTML:

<?php
    session_start();

    $username = NULL;
    $password = NULL;

    if(isset($_SESSION['username'])){
        $username = $_COOKIE['username'];
        $password = $_COOKIE['password'];
    }
?>
<html>
    <title>Login</title>
    <body bgcolor='#000000'>
        <font color="white">
    <H2><div align='center'>Login</div></H2>
    <form align='center' action='login.php' method='POST'>
            Username: <input type='text' name='username' value='<?$_COOKIE['username']?>'><br \>
            Password: <input type='password' name='password' value='<?$password?>'><br \>
            Remember Me <input type='checkbox' name='remember' value='rememberme'><br \>
            <input type='submit' value='Login'>
        </form>
        </font>
    </body>
</html>

O script PHP para manipular o formulário:

<?php
    session_start();

    $username = $_POST['username'];
    $password = $_POST['password'];

    //Hash password in a new variable
    $password2 = md5($password);

    require_once "/home/a7435766/public_html/scripts/dbconnect.php";

    $query = mysql_query("SELECT * FROM userstwo WHERE username = '$username' && password = '$password2'");

    if((mysql_num_rows($query)) != 0) {
        //Store username and password in a cookie
        if($_POST['remember'] == 'rememberme') {
            setcookie("username",$username,time()+3600*24*5,'','.ohjustthatguy.com');
            setcookie("password",$password,time()+3600*24*2,'','.ohjustthatguy.com');
        } else {
            setcookie("username","",time()-10,'','.ohjustthatguy.com');
            setcookie("password","",time()-10,'','.ohjustthatguy.com');
    }
        $_SESSION['username'] = $username;
        header('Location: http://www.ohjustthatguy.com/uploads/uploads.html');
        } else {
        header('Location: http://www.ohjustthatguy.com/uploads/');
    }
?>

ontes originais em pastebin

http: //pastebin.com/8XtqV1Phttp: //pastebin.com/7GvQ9wR

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