The Talmudic discussion of the ben sorer u'moreh concludes that such a case never actually occurred and never will — the law exists only to be studied. The rabbis debate the exact conditions and suggest the passage teaches that parents must be unified and aligned when dealing with a difficult child.
מַתְנִי׳ הָיָה אָבִיו רוֹצֶה וְאִמּוֹ אֵינָהּ רוֹצֶה, אָבִיו אֵינוֹ רוֹצֶה וְאִמּוֹ רוֹצָה – אֵינוֹ נַעֲשֶׂה בֵּן סוֹרֵר וּמוֹרֶה עַד שֶׁיְּהוּ שְׁנֵיהֶם רוֹצִין. רַבִּי יְהוּדָה אוֹמֵר: אִם לֹא הָיְתָה אִמּוֹ רְאוּיָה לְאָבִיו, אֵינוֹ נַעֲשֶׂה בֵּן סוֹרֵר וּמוֹרֶה. אֶלָּא בְּשָׁוָה לְאָבִיו קָאָמַר. תַּנְיָא נָמֵי הָכִי: רַבִּי יְהוּדָה אוֹמֵר, אִם לֹא הָיְתָה אִמּוֹ שָׁוָה לְאָבִיו בְּקוֹל וּבְמַרְאֶה וּבַקּוֹמָה, אֵינוֹ נַעֲשֶׂה בֵּן סוֹרֵר וּמוֹרֶה. מַאי טַעְמָא? דְּאָמַר קְרָא ״אֵינֶנּוּ שֹׁמֵעַ בְּקֹלֵנוּ״. מִדְּקוֹל בָּעֵינַן שָׁוִין, מַרְאֶה וְקוֹמָה נָמֵי בָּעֵינַן שָׁוִין. כְּמַאן אָזְלָא הָא דְּתַנְיָא: בֵּן סוֹרֵר וּמוֹרֶה לֹא הָיָה וְלֹא עָתִיד לִהְיוֹת, וְלָמָּה נִכְתַּב? דְּרוֹשׁ וְקַבֵּל שָׂכָר. כְּמַאן? כְּרַבִּי יְהוּדָה.
MISHNA: If his father wishes to have him punished but his mother does not wish that, or if his father does not wish to have him punished but his mother wishes that, he does not become a stubborn and rebellious son, unless they both wish that he be punished. Rabbi Yehuda says: If his mother was not suited for his father, the two being an inappropriate match, as the Gemara will explain, he does not become a stubborn and rebellious son. Rather, Rabbi Yehuda is saying that the boy’s mother must be identical to his father in several aspects. The Gemara comments: This is also taught in a baraita: Rabbi Yehuda says: If his mother was not identical to his father in voice, appearance, and height, he does not become a stubborn and rebellious son. The Gemara asks: What is the reason for this? As the verse states: “He will not obey our voices [kolenu]” (Deuteronomy 21:20), which indicates that they both have the same voice. And since we require that they be identical in voice, we also require that they be identical in appearance and height. The Gemara asks: In accordance with whose opinion is that which is taught in a baraita: There has never been a stubborn and rebellious son and there will never be one in the future, as it is impossible to fulfill all the requirements that must be met in order to apply this halakha. And why, then, was the passage relating to a stubborn and rebellious son written in the Torah? So that you may expound upon new understandings of the Torah and receive reward for your learning, this being an aspect of the Torah that has only theoretical value. In accordance with whose opinion is this? It is in accordance with the opinion of Rabbi Yehuda, who requires that the parents have certain identical characteristics, making it virtually impossible to apply the halakha.