Kolman, 32, from the settlement of Kokhav HaShahar in the West Bank, was survived by his wife and four sons. He was murdered on his way back home from work. His assailant was shot dead on the spot by a police officer present at the scene at the time of the attack.
Kolman's family has been waiting six months for the terrorist's house to be demolished.
The IDF Spokesperson's Unit issued a statement saying, "It has been decided not to demolish the house of Abd al-Rahman Bani Fadel following a thorough examination of the claims made by the terrorist's family regarding his mental state and after reviewing the relevant documents presented."
Yael Kolman, Adiel's mother, expressed her anger over the decision, "We don't accept this decision. If he (Abd al-Rahman Bani Fadel) was competent to work, his house can be demolished. This should be thoroughly reexamined again."
"I seek for deterrence, not for vengeance. My son wasn't murdered by a mentally ill person," Kolman's mother stated.
Fadel, a father of two, had a temporary permit for a week that allowed him to enter Israel to search for employment. He had already received such permits in the past, as there was no indication of his terrorist intentions.
The day he carried out his terror attack was the first day that his permit enabled him to enter Israel.
Attorney Haim Bleicher from the National Legal Defense Organization who represents the Kolman family said, "The demolition of terrorists' houses who murdered Jews is essential for purposes of deterrence.
"It is unheard of that terrorists' houses are not demolished amid external considerations. A terrorist's house who slaughters a Jew should be demolished no matter what," Bleicher opined.