传闻失实 meaning in English

what is reported does not square up with the facts

The rumour was unfounded .
传闻失实。
In proof of this we have signed this paper to establish the truth of the facts , lest the moment should arrive when either of the actors in this terrible scene should be accused of premeditated murder or of infringement of the laws of honor
为证明这一点，我们签署这宗文件，以明真相，深恐将来传闻失实，这幕可怕的场面里的参与者可能会被诬蔑为蓄意谋杀或者别的不名誉的行为。