Mezue ahịrịokwu na-esonụ: Kravtsiv mụtara otú e si egwu chess n'ụbọchị ncheta ọmụmụ ya nke isii site n'aka nna ya. Mgbe e mesịrị, ọ zụrụ na Lviv Chess Club. N'ime
2008 World Mind Sports Games na Beijing, Kravtsiv meriri ọla edo na ihe omume blitz nke ụmụ nwoke. N'afọ 2010, o jikọtara ya na Dmitry Kokarev, Alexey Dreev, Maxim Turov, Baskaran Adhiban na Aleksej Aleksandrov na asọmpi nke abụọ nke Orissa Open na Bhubaneshwar. N'afọ 2011, Kravtsiv meriri 3rd Chennai Open. N'afọ sochirinụ, o jikọtara na 1st <unk> 5th na Pentala Harikrishna, Parimarjan Negi, Tornike Sanikidze na Tigran Gharamian na Cappelle-la-Grande Open. O jikọtara na mbụ na Andrei Volokitin na Zahar Efimenko na 2015 Ukrainian Chess Championship, nke e mere n'obodo ya bụ Lviv, na-agwụ nke abụọ na tiebreak. N'afọ 2016, Kravtsiv meriri Riga Technical University Open na-agafe Hrant Melkumyan, Arturs Neiksans, Aleksey Goganov na Jiri Stocek na akara tiebreak.