実はそのうわさは根拠がない。の英語

The fact is that the rumor is groundless.

Clearly, the rumor is not true.

Clearly, the rumor isn't true.

There is not a ray of truth in it.

I don't know whether it is true or not.

That rumour is not true, is it?

There wasn't a scrap of truth in the statement.

There is not a speck of truth in the claim.

The theory is baseless.

The statement is not wholly true.

The rumor is true to some extent.

Your theory is not consistent with reason―contrary to reason.

It's questionable whether or not that is based on reality.

As a matter of fact, I don't know the truth.

It seems that no one knows the truth.

To tell you the truth, I am a little depressed.

The claim is based on flimsy [tenuous] grounds.

There is no foundation for the rumour―no ground for the rumour―The rumour is unfounded―groundless.

exaggerated and empty talk

That's not true either.

That isn't true either.

The premises do not justify the conclusion.

something that feels like reality even though it is not

without a glimmer of truth

She maintains her innocence.

I don't know for certain whether it is true or not.

false words

Do you still insist on your innocence?

Do you still insist that you are innocent (of the charge)?

The other party is not altogether in the wrong.