What will be the situation of the world when every beings will attain Nirvana?

The ultimate goal of a Buddhist is to attain Nirvana, i.e., to stop the cycle of rebirth. Since a Buddhist is compassionate, she/he not only wants to stop her/his own rebirth but also wants that all beings will stop their rebirth. Now suppose this has happened: all beings have been able to stop the cycle of rebirth. Then what will be the picture of the world? There will be no life anywhere, let alone human civilization. The entire world will be like a land of the dead. Is that a desirable goal? If not, where is the fallacy in the above argument?