There have been many cases that adopted proof by contradiction for creative researchers to prove their theory and to explore the weak points of the existing theories. However, there has rarely been trials to represent the problem solving process with the proof by contradiction as a diagram. This research explained how to represent creative research’s contradiction resolution process applied with the proof by contradiction as the Butterfly diagram. Archimedes solved the golden crown problem with the proof by contradiction in a situation that was difficult to prove if the golden crown was pure or not. Galileo Galilei proved that Aristotle’s law of falling bodies was wrong from the thought experiment. He proved that the bodies of Received (February 8, 2016), Review Result (February 24, 2016) Accepted (March 3, 2016), Published (April 30, 2016) 63243 Dept. Management Information Systems, Jeju National Univ., Jejudaehak-ro 102, Jeju-do, Korea email: jshyun@jejunu.ac.kr (Corresponding Author) Dept. Computer Education, Jeju National Univ., Jejudaehak-ro 102, Jeju-do, Korea email: cjpark@jejunu.ac.kr * 이 연구과제는 JCC그룹 발전기금으로 수행되었음 Proof by Contradiction of Creative Research’s Contradiction Resolution and the Representation with the Butterfly Diagram Copyright c 2016 HSST 408 different weight fell with the same speed by proof by contradiction. Einstein proved that the velocity addition law was contradicted with the law of light speed constancy. From the proof, he discovered an error in Newtonian mechanics. This research represented the application process with the Butterfly diagram for solving contradiction resolution in scientific history. In addition, this research proposed the valid argument by a truth table.