Does talaaq automatically take place if the spouses did not consummate the marriage within 4 months?

This is not true. By the husband and wife merely refraining from having relations, talaaq does not take place. The fuqaha have explained that if the husband takes an oath that he will not have relations with his wife for four months or more, then through refraining from relations, when four months elapses from the time he had taken the oath, an irrevocable talaaq will take place. However, in this case, since there was no oath taken, no talaaq has taken place between the both.

And Allah Ta'ala (الله تعالى) knows best.