Which of the following is not a criterion for scoring a near fall?

The correct answer to the question focuses on the criteria for scoring a near fall in wrestling. A near fall is evaluated based on the positioning of the defensive wrestler's body. For scoring to occur, the referee looks for specific indicators that show the defensive wrestler is close to being pinned.

The first three choices outline conditions that indeed contribute to scoring a near fall. Two shoulders of the defensive wrestler held below the horizontal signifies that the wrestler is nearly pinned, which is a fundamental criterion for near fall points. Similarly, if an opponent is held in a pinning position, it indicates that the scoring wrestler is effectively controlling their opponent. Elevating the defensive wrestler's legs off the mat further demonstrates that the defending wrestler is significantly in a vulnerable position, close to being pinned.

In contrast, having one shoulder of the defensive wrestler touching the mat does not contribute to scoring a near fall. In fact, if a shoulder is down, it does not indicate a near fall but rather a possible pin or a different positional scenario. Thus, this choice doesn't align with the criteria required to award near fall points. Understanding these distinctions is crucial for grasping the scoring system in wrestling.