Yes, the 2 month notice period exists. That is to serve the purpose of any intimation of continuing for another term.
From your side, you can argue that you have mentioned 2 months because you need 2 months to search and identify another tenant.
But your argument will get squashed the moment you begin it.
That is because the agreement clearly mentions 11 months.
So, whether the tenant gives 2 months notice or not, the life of the agreement itself is only 11 months.
So, that clause of 2 months is a mere formality.
You can mention that with force only if he expresses his wish to continue and you respond by saying he should have informed you 2 months in advance as per the agreement.
But here he clearly wants to vacate.
Even if he wants to continue, unless and until there is a serious issue with that tenant, any owner would permit since fresh exercise of locating tenant does not arise.
That 2 month clause serves no purpose at all.
The life of that agreement is the life of the owner-tenant relationship.
When that life itself is only for 11 months, why refer to 2 month prior notice.
Your argument is exactly similar to saying
" The Sun will rise in the morning. But it has to inform me 2 hours prior to setting in the evening. If it does not, then it has to set after additional 2 hours. Only then, it is permitted to set in the evening. "
Whether you are informed or not,
The Sun has to rise at a particular time in the morning and set at a particular time in the evening.
That is the natural course of action.
Similarly, whether you are informed or not, the life of the agreement and owner-tenant relationship, ends upon completion of Eleven Months. That is the natural course of action.
Got it !!
So, just let him go.
Discuss the security deposit amount and other aspects, as per the agreement and just plainly let him go.
He is speaking perfectly.
Unnecessarily you might end up looking foolish if you persist in that 2 month argument.
That Sun Rise and Sun Set as an example is enough to highlight the truth of the situation to you.
I am sure you can now see with clarity.