He issued a divorce document when he does not really want to divorce
Question

                My father has issued a divorce document in my mother’s presence; so that I can obtain exemption from military service. They both signed the document. My father did not utter the word of divorce neither did he write it. They explained to the registrar that the document is needed for the mentioned purpose only, and that he does not to divorce my mother. 

1- What is the ruling on what my father did?

2- Is that considered divorce? Bear in mind that my father has divorced my mother twice before, and the third time (which I am asking about) has taken place while my mother wasn’t in her menstruating days, my father did not have intercourse with her. He had intercourse with her a while after they signed the divorce document. What should my father do? 

If what my father did is not considered divorce then how can my father ensure my mother’s right in his inheritance? In the eye of law my mother is a divorcee.  

My mother lives with us in the same home. My father is spending on her and provides for her all that she needs. But my father is married to another woman and he lives in another home with his second wife. He visits us a lot and sees to our needs. 

My father wants to know the ruling on what he has done, and is asking if it permissible for him to return my mother to him after this documented divorce without another document of raj’aa (a man taking his divorced wife back to him).
Praise be to Allah.
    Firstly: 

    If a man writes a clear statement of divorce in his own hand, 
    then it does not count as a divorce unless he intended it as such, according 
    to the majority of scholars, because writing may be subject to different 
    interpretations. 

    Ibn Qudaamah (may Allaah have mercy on him) said (7/373): 
    Divorce does not count as such without uttering the words of divorce, except 
    in two cases:

    (i)a person who is unable to 
    speak, such as one who is mute; if he issues a divorce by means of gestures 
    then his wife is divorced. This was the view of Maalik, al-Shaafa’i and 
    ahsaab al-ra’y, and we do not know of anyone who disagreed with them.

    (ii)if he writes the divorce – if 
    he intended it then his wife is divorced. This is the view of al-Sha’bi, 
    al-Nakha’i, al-Zuhri, Abu Haneefah and Maalik, and it is the stated view of 
    the Shaafa’is. 

    But if he wrote it without intending to divorce her, then 
    some scholars are of the view that it counts as such. This is the view of 
    al-Sha’bi, al-Nakha’i, al-Zuhri and al-Hakam, because of what we mentioned. 

    The second view is that it only counts as such if he intended 
    it. This is the view of Abu Haneefah and Maalik and is the stated view of 
    al-Shaafa’i, because writing is subject to interpretation. He may have 
    intended thereby to try out the pen, or improve his handwriting, or make his 
    wife worried without intending divorce. End quote. 

    As your father did not utter the word of divorce and did not 
    write it, rather it was written by someone else, and he signed it without 
    intending divorce, then divorce has not taken place. 

    Secondly:  

    Your father’s actions have obvious negative results, 
    including the issue of inheritance if the estate is divided by the state, 
    because there is no inheritance between your father and your mother in this 
    case. But if the inheritance will not be divided by the state, then the way 
    out is for your father to bring two witnesses of good character to testify 
    that the marriage is still in effect between him and your mother, and also 
    broadcast that among people. Then if one of them died the other will inherit 
    from him or her. 

    Another negative consequence is that if Allaah blesses him 
    with a child from your mother, then he will not be able to register the 
    birth, in addition to the lying and fabrication involved in his action. 

    Thirdly: 

    As the divorce asked about does not count as such – as stated 
    above – there is no need for him to take your mother back formally.

    And Allaah knows best.