Infinite loops of Rebirths I have a question.

A man should attain enlightenment to liberate himself from cycle of rebirths and every other aspects.

What if a MAN don't even care to try out to attain enlightenment. Will he be stuck in a cycle and no place to stop his process of rebirth until he attains enlightenment.

Does he be a prisoner of this birth cycle. Is there no way for him to escape until he attains Enlightenment. What is the end of this birth cycle? 

I don't have in-depth knowledge in Buddhism or the question I ask. So please correct me if I am wrong.
Vimalakirti Sutra:


  Śāriputra: Goddess, where will you be born when you transmigrate after death?  
  
  Goddess: I will be born where all the magical incarnations of the Tathāgata are born.  
  
  Śāriputra: But the emanated incarnations of the Tathāgata do not transmigrate nor are they born.  
  
  Goddess: All things and living beings are just the same; they do not transmigrate nor are they born!
  
  Śāriputra: Goddess, how soon will you attain the perfect enlightenment of buddhahood?
  
  Goddess: At such time as you, elder, become endowed once more with the qualities of an ordinary individual, then will I attain the perfect enlightenment of buddhahood.
  
  Śāriputra: Goddess, it is impossible that I should become endowed once more with the qualities of an ordinary individual.
  
  Goddess: Just so, reverend Śāriputra, it is impossible that I should attain the perfect enlightenment of buddhahood! Why? Because perfect enlightenment stands upon the impossible. Because it is impossible, no one attains the perfect enlightenment of buddhahood.
  
  Śāriputra: But the Tathāgata has declared: “The tathāgatas, who are as numerous as the sands of the Ganges, have attained perfect buddhahood, are attaining perfect buddhahood, and will go on attaining perfect buddhahood.”
  
  Goddess: Reverend Śāriputra, the expression “the buddhas of the past, present, and future” is a conventional expression made up of a certain number of syllables. The buddhas are neither past, nor present, nor future. Their enlightenment transcends the three times! But tell me, elder, have you attained the state of arhat?
  
  Śāriputra: It is attained, because there is no attainment.
  
  Goddess: Just so, there is perfect enlightenment because there is no attainment of perfect enlightenment.