That was a conjecture, not a fact.

那是个推测，不是事实。

《柯林斯英汉双解大词典》

Distinguishing between fact and conjecture would be a full-time job if the club bothered to address every whisper emanating from the street.

要是俱乐部烦到了要去处理这些在街上对俱乐部指指点点的人，光是分清谣言和事实真相就要费老鼻子劲了。

youdao

His lonely walks, dutifully passed another story, the joys and sorrows of parting thoughts, wealth, desire... in fact, he also has a dream and joys and sorrows, but no one to conjecture.

他寂寞地行走，尽职尽责地传递他人的悲欢故事、离别思念、财富渴望……其实，他也有梦想和悲欢，只是没有人多去猜想。

youdao

This is not a theory or conjecture, it is cold, hard fact.

FORBES: It Is Impossible For The US To Default

The fact is, most of what you read or hear is pure conjecture, speculation, fantasy or opinion.

FORBES: Unbridled Optimism