Sometimes, you are not hired not because of another better and brighter candidate but just because .... they decided to not fill that position at all for whatever reasons.
"Thank you for your interest in our Integration Specialist position at Our Company. We regret to inform you that due to recent business needs, this position will not be filled and therefore has been closed.
Thank you for expressing your interest in our Company.
We hope that you will consider applying for any positions with us in the future that may match your personal qualifications and business objectives. We wish you the best of luck in your job search.