In a football tournament six teams A, B, C, D, E, and F participated. Every pair of teams had exactly one match among them. For any team, a win fetches 2 points, a draw fetches 1 point, and a loss fetches no points. Both teams E and F ended with less than 5 points. At the end of the tournament points table is as follows (some of the entries are not shown):
<table class="question-table"> <tbody> <tr> <th> Teams </th> <th> Played<br> </th> <th> Wins<br> </th> <th> Losses<br> </th> <th> Draws<br> </th> <th> Points<br> </th> </tr> <tr> <td> A<br> </td> <td> 5<br> </td> <td> </td> <td> 0<br> </td> <td> </td> <td> 8<br> </td> </tr> <tr> <td> B<br> </td> <td> 5<br> </td> <td> </td> <td> 2<br> </td> <td> </td> <td> 6<br> </td> </tr> <tr> <td> C<br> </td> <td> 5<br> </td> <td> </td> <td> 2<br> </td> <td> </td> <td> 5<br> </td> </tr> <tr> <td> D<br> </td> <td> 5<br> </td> <td> </td> <td> 1<br> </td> <td> </td> <td> 5<br> </td> </tr> <tr> <td> E<br> </td> <td> 5<br> </td> <td> </td> <td> 1<br> </td> <td> </td> <td> </td> </tr> <tr> <td> F<br> </td> <td> 5<br> </td> <td> </td> <td> </td> <td> </td> <td> </td> </tr> </tbody> </table>
It is known that: (1) team B defeated team C, and (2) team C defeated team D