First off, the Consequence isn’t about the MC but is about the Overall Story throughline, so think of the OS characters instead of just the player that is also the MC.
Here are a couple of random possibilities:
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If the cause(s) of the past event is/are not discovered fully, the trial will be remembered as a miscarriage of justice
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If the causes of the past events are not discovered fully, people may forget about the perpetrator’s involvement and leave him free act again