All presidents of the unites states had two feet. all professional football players had two feet. conjecture: all professional football players were at one time the president of the united states. select the statement that best describes this type of reasoning. a. this type of reasoning is an example of the law of detachment. b. this type of reasoning is an example of the law of syllogism. c. this type of reasoning leads to a false statement. the counterexample would be any football player. joe montana was a professional football player with two feet, but he was never president of the united states. d. this type of reasoning leads to a false statement. the counterexample would be any us president. george washington had two feet but was not a professional football player.