does mail.exampleserver.com exist ??? , if not try the following code (you must have gmail account)
$mail->SMTPSecure = "ssl";
$mail->Host='smtp.gmail.com';
$mail->Port='465';
$mail->Username = '[email protected]'; // SMTP account username
$mail->Password = 'your gmail password';
$mail->SMTPKeepAlive = true;
$mail->Mailer = "smtp";
$mail->IsSMTP(); // telling the class to use SMTP
$mail->SMTPAuth = true; // enable SMTP authentication
$mail->CharSet = 'utf-8';
$mail->SMTPDebug = 0;