Kong Zhi, Meng Rui, Xun Hui, Zhuang Cong, Mo Ling, Han Min and other six people formed a representative team to participate in a chess competition, including two to participate in the game of Go, two to participate in the Chinese chess competition, and two to participate in the international chess competition. The following conditions should also be met regarding their participation in specific events :(1) each participant can only participate in one event; (2) Kong Zhi participates in weiqi competition, if and only if Zhuang Cong and Meng Rui both participate in Chinese chess competition; (3) If Han Min does not participate in the chess competition, Mo Ling will participate in the Chinese chess competition; (4) If Xun Hui participates in Chinese chess match, Zhuang Cong does not participate in Chinese chess match; (5) At least one of Xun Hui and Mo Ling will not participate in Chinese chess matches.
Han Min and Kong Zhi take part in the go competition can be true according to the above information.