Some tense question

[vkhu]

He said he hadn't cleaned the house
-> He denied cleaning the house

Isn't this suppose to be "he denied having clean the house"?

[Raymott]

He said he hadn't cleaned the house
-> He denied cleaning the house

Isn't this supposed to be "he denied having cleaned the house"?

Not necessarily. It depends upon the purpose of changing once sentence into another.

Was it to you who I said, "It's impossible to tell if your answer is right without knowing the question?" If not, I'm saying it now.
Without some sort of guidelines about why you want to change the sentence, there's no basis for saying that the second sentence "is supposed" to be anything.

[vkhu]

Not necessarily. It depends upon the purpose of changing once sentence into another.

Was it to you who I said, "It's impossible to tell if your answer is right without knowing the question?" If not, I'm saying it now.
Without some sort of guidelines about why you want to change the sentence, there's no basis for saying that the second sentence "is supposed" to be anything.

Sorry about that. I was told to rewrite the sentence using the word cleaning. I can only think of denied cleaning but I don't get why it must be denied cleaning and not denied having cleaned.

[Raymott]

Sorry about that. I was told to rewrite the sentence using the word cleaning. I can only think of denied cleaning but I don't get why it must be denied cleaning and not denied having cleaned.

So, you are saying that you think, "He denied cleaning the house" is ungrammatical? It isn't.

It must be "denied cleaning" and not "denied having cleaned" because "denied having cleaned" is an illegitimate answer to the task you were given - since it doesn't contain "cleaning".

[Barb_D]

He said that if there was any cleaning of the house done, it wasn't by him!