Cuir crìoch air an abairt a leanas: Chaidh Kravtsiv a theagasg mar a chluich e ceis air an t-siathamh co-là-breith aige le athair. Nas fhaide air adhart, thrèanadh e ann an Club Chess Lviv. Ann an
Ann an Geamannan Spòrs inntinn na Cruinne 2008 ann am Beijing, choisinn Kravtsiv am bonn òir ann an tachartas blitz fa leth nam fir. Ann an 2010, bha e co-ionann airson 1st-6th àitean le Dmitry Kokarev, Alexey Dreev, Maxim Turov, Baskaran Adhiban agus Aleksej Aleksandrov anns an 2nd Orissa Open tournament ann am Bhubaneshwar. Ann an 2011, choisinn Kravtsiv an 3mh Chennai Open. An ath-bhliadhna, bha e co-ionann airson 1st <unk> 5th le Pentala Harikrishna, Parimarjan Negi, Tornike Sanikidze agus Tigran Gharamian ann an Cappelle-la-Grande Open. Bha e co-cheangailte airson a 'chiad le Andrei Volokitin agus Zahar Efimenko ann an 2015 Ukrainian Chess Championship, a chaidh a chumail anns a' bhaile dhùthchasach aige Lviv, a 'crìochnachadh an dàrna àite air tiebreak. Ann an 2016, choisinn Kravtsiv an Riga Technical University Open a 'cur a-mach Hrant Melkumyan, Arturs Neiksans, Aleksey Goganov agus Jiri Stocek air sgòr tiebreak.