Final answer:
In the context of the sentence, 'wits' means cleverness, depicting a non-physical contest of mental acuity.
Step-by-step explanation:
In the given sentence, 'the two men equalled one another in their battle of wits,' the word 'wits' refers to option 3) cleverness. This is highlighted by the context that showcases a competitive scenario where intelligence, rather than physical strength or determination, is being tested. The word 'battle' is metaphorically used to describe a contest or struggle of intellect and strategic thinking. Throughout history and literature, the term 'battle of wits' has been used to denote a situation where individuals or groups compete using their mental acuity, rather than engaging in physical violence. This can involve puzzles, problems, debates, or any form of confrontation that requires smart thinking and quick decision-making.