Anchor: [B]ecause the equality of right and ability breeds equality of hope in the attaining of our Ends, and because each man's ends are naturally to be preferred to his rival's, the two will inevitably become enemies, and in the absence of a neutral arbiter they will endeavor to destroy or subdue one another.
Entailed: Because we are equal to each other, we are prone to be selfish. 
Contradiction: Men who are equal are naturally cooperative. 
Contradiction: A hockey player shoots the puck.
Contradiction: Today, American society is considerably unfair as few people are successful.
Contradiction: The carnival ride is empty.
Contradiction: Sound like you were correct