Faatumu le fuaiupu lenei: Na aʻoaʻoina Kravtsiv i le auala e taalo ai i le taʻaloga o le chess i lona ono o aso fanau e lona tamā. Mulimuli ane, na aʻoaʻoina ai o ia i le Lviv Chess Club. I le
O le 2008 World Mind Sports Games i Beijing, na manumalo ai Kravtsiv i le pine auro i le taʻaloga faʻapitoa a tamaloloa. I le 2010, na tutusa ai mo le 1st-6th nofoaga ma Dmitry Kokarev, Alexey Dreev, Maxim Turov, Baskaran Adhiban ma Aleksej Aleksandrov i le 2nd Orissa Open taamilosaga i Bhubaneshwar. I le 2011, na manumalo ai Kravtsiv i le 3rd Chennai Open. I le tausaga na sosoo ai, na ia faʻatulagaina mo le 1st <unk> 5th ma Pentala Harikrishna, Parimarjan Negi, Tornike Sanikidze ma Tigran Gharamian i le Cappelle-la-Grande Open. Na tutusa lona tulaga muamua ma Andrei Volokitin ma Zahar Efimenko i le 2015 Ukrainian Chess Championship, na faia i lona taulaga o Lviv, ma faʻaiʻu lona lua i le tiebreak. I le 2016, na manumalo ai Kravtsiv i le Riga Technical University Open, ma manumalo ai ia Hrant Melkumyan, Arturs Neiksans, Aleksey Goganov ma Jiri Stocek i le tiebreak score.