without any trace 没有任何痕迹；没有踪迹；无影无踪；踪迹全无

【例句】
My life these days was somewhat blank and time flied away without any trace in my mind.
这些天，我的生活有点空白，时间一晃而过不留痕迹在我的脑海。

If you know your shortcomings and feel reluctant to change, then you will only vanish with time without any trace to be left behind.
明知己之不足不改，最后只能在蹉跎岁月中渐渐消逝，无影无踪。