Is it permissible for a girl to marry a man her father rejected three times without a reason, and that is without the father's consent?

What you have heard is incorrect. If the guardian's obstruction of the woman's marriage is proven, she has the right to refer her case to the judiciary, so that the ruler may marry her off despite her guardian. However, for a woman to marry herself without her guardian's permission, or for the guardianship to be withdrawn from him without justification, this is void.