Thanks Joe, Jairichi and rahul.
From the murthy forum FAQs, it is answer "You should resume your study at the next available term not to exceed five months into the future". So that any student in similar situation can apply for a good university which starts in January? Is this correct?
I have seen in murthy forum FAQs.
Question (27.Dec.2013): My OPT authorization ended one month ago and I have been waiting for an approval of my employer’s H1B petition that it filed on my behalf. Unfortunately, the H1B petition was denied because of the lack of evidence about the employer / employee relationship. I would like to continue to maintain status in the U.S. What should I do to stay in valid F-1 status?
Answer: You appear to be in valid F-1 status until the end of your 60-day grace period after the expiration of your OPT authorization. To maintain your F-1 status in the future, you may transfer your SEVIS record to a new program of study by the end of your grace period. You should resume your study at the next available term not to exceed five months into the future.