What would have been the likely result if they had not taken Antioch?

If they had not taken Antioch, the strategic position of the Crusaders would have been significantly weakened, limiting their ability to advance towards Jerusalem. Antioch served as a crucial supply route and a base of operations, and its loss could have demoralized the Crusader forces, potentially leading to disunity among them. Furthermore, the failure to secure Antioch might have allowed Muslim forces to regroup and strengthen their defenses, making future Crusader advances even more challenging. Overall, the failure to capture Antioch could have altered the course of the First Crusade dramatically.