The Revelation 13:11 forward Scripture says NOTHING about the "false prophet."
The false prophet ADDITION into that Revelation 13:11-17 Scripture is a false tradition by men.
WHY would some men want to confuse that with their claiming that "another beast" is the false prophet of Rev.19:20? EASY! It is to confuse brethren as to the IDENTITY of that "another beast" as SATAN himself, the "dragon"!
Rev 13:11
11 And I beheld another beast coming up out of the earth; and he had two horns like a lamb, and he spake as a dragon.
KJV
That article 'a' in the Greek can also mean 'the'. Thusly, 'the dragon', which is Satan himself. And just who is it we are told that will ascend... out of the bottomless pit and go into perdition? Satan. That's why the above points to that "another beast" coming up out of the earth. It does not mean some flesh-born man coming out of world society. It instead is symbolic for Satan's pit, which is compared in God's Word, and per Greek legend to the abode of Hades (hell).
Rev 12:9
9 And the great dragon was cast out, that old serpent, called the Devil, and Satan, which deceiveth the whole world: he was cast out into the earth, and his angels were cast out with him.
KJV