The majority of states would not acquire nuclear weapons. Meanwhile, the nuclear states would negotiate nuclear disarmament. The nuclear weapon states never kept their side of the bargain. They moved their nuclear weapon tests underground, but did nothing to reduce their number. In 1995 the non-nuclear weapon states came under intense pressure, mainly from the United States, to agree to an indefinite extension of the npt.
Nuclear disarmament is as distant as ever.
The nuclear weapon powers have successfully sold the story that even if further nuclear disarmament does take place, it would have to be stretched out over decades. That simply is not true. With only a small investment in new facilities, the whole world stock of nuclear weapons could be dismantled in seven years. The United States, France, Britain, and Russia have very little interest in the views of the non-nuclear weapon states. They refuse to agree to any discussion of nuclear disarmament in Geneva.