The phrase "never cooperate with" is correct and usable in written English.
For example, you could use the phrase in the sentence, "I will never cooperate with those who do not respect my decisions."
"He'll never cooperate with these guys, ever".
And when they see it, they respond about as petulantly as possible: we will never cooperate with you again!
Mr. Aziz told reporters in Baghdad: "I have said that Iraq will never cooperate with resolution 1284.
Skeptics will say that the North Koreans will never cooperate with such an inquiry, and that access to the country will be impossible.
A6 Iraqi Denounces Inspections Deputy Prime Minister Tariq Aziz denounced a new United Nations weapons inspection commission and vowed Iraq would never cooperate with inspectors.
Protesters seemed unanimous in their feeling that Mr. Saleh came back for war and that he would never cooperate with a political solution that requires him to step down.
Mr. McDougal, still defying "the Feds," never cooperated with the R.T.C.
"His challenge is to try to convince the Iranian security forces that he never cooperated with the United States".
"The Rosenbergs are the only people that never cooperated with the federal government in an espionage case," she said.
The People's Mujahedeen, also known as MEK, never cooperated with Saddam Hussein in his crackdowns against Kurds and others, and the current Iraqi foreign minister has confirmed this.
The county has never cooperated with herders even though they always disseminate top-down supports and pretend to help local residents.
