Your claim is valid, legally your share is 20+13.3%=33.3%
without signing the documents, there is no rule for automatically removal of director, the directorship can be removed by follow the procedure as mentioned below:
The procedure to be followed is as follows:
A Company by ordinary resolution in an Annual general meeting or an extra ordinary General meeting can remove a director.
Special Notice about the resolution to remove a director shall be issued to the members.
A copy of the said notice to be send to the director to be removed also.
The director shall be given an opportunity of being heard in the meeting.
If the director gives any written representation to the notice, then the said representation shall be given to all members.
If the representation could not be given to all members, then the Director can request the said representation to be read out in the meeting.
The members can pass an ordinary resolution, by simple majority and remove the director.
The Company shall within 30 days from the removal of a director file Form No.32 and a copy of the resolution with the Registrar