clutch, grasp, pull up, contradict
捽 centers on a forceful hand action: clutching, grasping, or pulling up. The sense of contradicting is a rare, likely extended use that may not be directly connected to the physical hand action.
捽 combines 扌 (hand) with 卒, which likely contributes the sound. The exact historical development is uncertain, but the hand radical suggests a physical action.
The hand radical 扌 beside 卒 suggests a hand grabbing or pulling. Picture a hand clutching a soldier (卒) by the collar and pulling him up.
For ソツ, imagine a hand grasping a sock (ソツ) and pulling it up: sock -> ソツ, and the hand clutches the fabric.