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William Branham prophecied that the Vatican City and Rome would be destroyed by Communism in a swift military campaign. He later changed his doctrine to say that Romanism would rule the world, not Communism.
The problem with this prophecy is that the Roman Catholic Church was actually instrumental in the destruction of Communism. The government of Russia no longer has a major problem with the Vatican as the opposition to Christianity has largely disappeared, along with Communism.
Quotes of William Branham
Communism will overthrow Rome
And I said, "There'll be three great isms, Communism, Fascism, and Nazism." And I said, "They'll wind up in one ism, and that one ism will dominate the world and will burn the Vatican City." 
And communism will burn the Vatican city. 
And the Bible said that God raised up Communism to get revenge upon the nations for what they've done to the children of God. That's exactly right. He said, "And they--they--they give their power and everything to the beast for one hour, and to revenge the people, the... of the blood that they had shed." And when that atomic bomb or whatever it is will strike that Vatican City, and the Roman hierarchy will be no more. 
- Question: You have said many times that communism was raised up by God to serve His purpose, as King Nebuchadnezzar. Now where did the--communism fit into the picture that will--it finally--will finally do? How does it wind up? Many scholars believe that in the kingdom of the north, Gog and Magog mentioned in the Scriptures, goes down against Israel in the--in the... (I can't make out just what that is. Yeah. Yeah.) I believe of the--some of the tapes taken, said you said it would finally drop--that--that communism would finally destroy Catholicism or the Vatican by an explosion. Is this right?
- Answer: Yes. 
I'll prove to you that communism is working straight in the hands of Almighty God to destroy the Roman...And remember, I say this as God's prophet: The Russian empire will drop an atomic bomb of some sort on the Vatican City and destroy it in one hour. THUS SAITH THE LORD.
Rome will overthrow Communism
They say communism will go take the world over. Don't you believe that. Communism ain't going to do nothing. Show me one place in the Bible where communism will ever take over. The Bible says Romanism will take over, not communism. Look at Daniel's vision. See? Not--not communism, it's a puppet in God's hands to destroy Romanism. But Romanism, you fear that, not communism. It's nothing, don't amount to a thing. Only, you hear about Russia, all communism. 
- Israel & the Church 2, March 26, 1953
- Faith That Was Once Delivered, May 1, 1955
- Ten Virgins, December 11, 1960
- Questions and Answers on the Seals, March 24, 1963
- The Mark of the Beast, Jeffersonville, Indiana, May 13, 1954
- Testimony on the sea, July 26, 1962