Negative utilitarianism faces two problems in application. First, removing the greatest happiness principle from moral thought would inevitably negatively affect one’s well being, therefore creating more suffering. Furthermore, the most efficient way to prevent suffering is to stop human life from existing. “If a ruler controls a weapon that is capable of instantly and painlessly destroying the human race...consequently the use of the weapon is bound to diminish suffering, and would be the ruler’s duty on Negative Utilitarian grounds”. 
This cannot be considered practical or beneficial to morality, let alone the diminishment of suffering.