It depends on the specific comic storyline. Sometimes Black Adam has the upper hand and defeats Superman, but in others, Superman emerges victorious. It all comes down to the plot and circumstances.
The key characters are Batman, Superman, and Lex Luthor. Batman is the Dark Knight, a vigilante with no superpowers but great detective skills and combat abilities. Superman is the Man of Steel, an alien from Krypton with super strength, speed, and other amazing powers. Lex Luthor is a brilliant but devious billionaire who sees Superman as a threat to his own power and plans to destroy him by pitting him against Batman.