As of now move out of the house and stay separately, and file divorce immediately.
No legal notice be given as it would give her chance to go ahead and initiate unnecessary criminal complaints and proceedings.
Meet an advocate and file divorce first then move out tof the house before the service of summons. Once she receives the summons from the court, she will have to appear before the court.
File a divorce on cruelty grounds,
denial of sex is aground of divorce only if you have not contributed for the desertion, but at the same time cruelty of emotional, physical and other ways can be brought out top prove your case against her.
During the pendency of the case there wll be chances to go ahead with mediation and end this marriage mutually.
I f your wife is not working you should expect maintenance or which also can be settled on one time alimony
You can not bow your head and allow the emotional and mental cruelty which occurs in your marriage and afford to lose your chance to live. when there is no harmony , love and happiness in relationship, end it to move to live.
However the dispute in marriage is a legal dispute created for material purpose by most often by the party who eye on property or a big amount to settle the disputes.
if you happen to be caught up in such situation fight it out and hire the best legal support for the same.
First analise the situation, her intentions, and her strengths and plan it with your advocate.
Regarding the house, you can transfer it by a deed of gift to your parents, but as you mentioned she filed a petition of not alienating/ creating third party rights, this has to be perused to say a final advise on it.
Your wife is entitled to stay in a matrimonial home, for maintenance and to defend the husband's petitions on his own cost, this means she can also file for legal expenses as you start the divorce proceedings.
By reading this don't lose your heart, understand the provisions under the law, realize your case merits, and finally what your needs .