If the Congress procrastinates or altogether fails to fulfill its duty respecting the proclamation or suspension of Martial Law within the short time expected of it, can the Court step in?

If the Congress procrastinates or altogether fails to fulfill its duty respecting the proclamation or suspension within the short time expected of it, then the Court can step in, hear the petitions challenging the President's action, and ascertain if it has a factual basis. If the Court finds none, then it can annul the proclamation or the suspension. 

But what if the 30 days given it by the Constitution proves inadequate? The 30-day period does not operate to divest this Court of its jurisdiction over the case. The settled rule is that jurisdiction once acquired is not lost until the case has been terminated.