Final answer:
The detail that best supports the idea that both men are stubborn and unwilling to compromise is that both men refused to budge from their initial positions, leading to a deadlock.
Step-by-step explanation:
The detail that best supports the idea that both men are stubborn and unwilling to compromise is option D) "Both men refused to budge from their initial positions, leading to a deadlock." This specific detail shows that neither man was willing to change their stance, resulting in a stalemate or deadlock. It demonstrates their stubbornness and lack of willingness to compromise.