InuYasha will still be airing on weeknights Monday-Thursday at 12:30 am and on Saturday's at 1:00 am. Case Closed is on AFTER InuYasha on weeknights and doesn't air on weekends. The person who checked 'TV Listings' is a fool. There have been anime movies on for the past two weeks (i.e. Animatrix and Read or Die) InuYasha will be back next weekend!
If you are having doubts about whether this is true or false, please feel free to check AdultSwim.com (more specifically: http://schedule.adultswim.com/servlet/ScheduleServlet?action=viewAll&showID=324233&show=Inuyasha&filter=as)