"That cock won't fight" is a popular phrase often used to describe something that is unproductive or ineffective. It could refer to a person who lacks the skill or talent to accomplish a task or an object that is broken or malfunctioning. Synonyms for this phrase could be "useless," "inefficient," "nonfunctional," "unproductive," "ineffective," or "futile." These synonyms highlight the lack of value or effectiveness of the subject in question, emphasizing the frustration or disappointment that comes from encountering such a situation. Regardless of the specific synonym used, the message conveyed is the same-that the situation is unproductive and disappointing.