This paper theoretically and experimentally analyzes the inefficiency of Self-Consistency (SC), a Test Time Extension (TTS) technique, and proposes Slim-SC, a novel method to improve it. SC generates multiple inference processes in parallel and selects a final answer through majority voting, but suffers from high computational costs. Slim-SC utilizes a stepwise pruning strategy that removes redundant chains by exploiting chain similarity during the inference phase, reducing inference latency and KVC usage by up to 45% and 26%, respectively, while maintaining or improving accuracy. This provides a simple yet efficient TTS alternative to SC.