I heard that stoning the Jamaraat on the thirteenth of Dhu’l-Hijjah is voluntary and is not compulsory, and we may leave Makkah after stoning the Jamaraat on the twelfth, and that we do not have to stay in Mina for all the days of at-Tashreeq.

Is this correct?


Praise
be to Allah

It is permissible for the pilgrim to hasten to leave on
the second of the days of stoning the Jamaraat, because Allah, may He be
exalted, says (interpretation of the meaning):
But whosoever
hastens to leave in two days, there is no sin on him and whosoever stays
on, there is no sin on him, if his aim is to do good and obey Allah
(fear Him)” [al-Baqarah
2:203]
. The
condition of it being permissible, according to the majority – the
Maalikis, Shaafa‘is and Hanbalis – is that the pilgrim should leave Mina
after stoning the Jamaraat and before sunset. In that case the
obligation of stoning the Jamaraat on the third of the days of at-Tashreeq
is waived for him. But if he does not depart before sunset, he must stay
overnight in Mina and stone the Jamaraat on the third of the days of at-Tashreeq.
It is proven that ‘Umar (may Allah be pleased with him) said: If the sun
sets and a person is still in Mina, he may not depart until he stones
the Jamaraat on the following day. The scholars of the Standing
Committee said: 

The period that the pilgrim must spend in Mina after the Day
of Sacrifice is two days, namely the eleventh and twelfth of Dhu’l-Hijjah.
As for the thirteenth of Dhu’l-Hijjah, it is not obligatory for the pilgrim
to spend it in Mina, and it is not obligatory for him to stone the Jamaraat
on that day; rather that is only recommended, unless he is still in Mina
when the sun sets on the twelfth, in which case he must stay overnight in
Mina and stone the three Jamaraat after the sun has passed the zenith. 

With regard to the meaning of what is mentioned in the verse,
if a person hastens to leave Mina after spending two nights there following
the Day of Sacrifice, and after stoning the three Jamaraat on the eleventh
and twelfth days, there is no sin on him and he does not have to offer a
compensatory sacrifice, because he has done what was required of him. And if
a person remains in Mina and spends the night before the thirteenth day
there, and stones the three Jamaraat on the thirteenth day, there is no sin
on him; rather his spending that night in Mina and stoning the three
Jamaraat on that day is better and will bring a greater reward, because the
Prophet (blessings and peace of Allah be upon him) did that. Then Allah, may
He be glorified and exalted, ends the verse by encouraging us to fear Him
and believe in the Last Day, and the reckoning and reward that will occur on
that Day, so that this will motivate the one who remembers it to do a lot of
righteous deeds and to avoid things that are forbidden, in the hope of
Allah’s mercy and in fear of His punishment. 

Shaykh ‘Abd ar-Razzaaq ‘Afeefi, Shaykh ‘Abdullah ibn Ghadyaan,
Shaykh ‘Abdullah ibn Munayyi‘ 

End quote from Fataawa al-Lajnah ad-Daa’imah li’l-Buhooth
al-‘Ilmiyyah wa’l-Ifta’
(11/266, 267) 

And Allah knows best.