Non mentioning of house properties

Not good practise. In case when its required to sell in future, how can you proceed? No official documentation like Will .......

Otherwise also, a fear of search remains for whole life.

No problem subject to if the assessee has sufficient evidence that he has if he has purchased or constructed out of his own money ,merely non mention of details of SOP in ITR doesn't amounts to concealment. Don't worry if the assessing officer asks any question on non disclosure of SOP in ITR then you can say that there was no deduction on account of interest so we has not filled in ITR..