Murzin won the U12 title at the European Youth Chess Championship 2018,[1] with a draw against Jakub Chyzy in the final round.

[4] In the Chess World Cup 2021, where he was seeded 151st, he reached the second round shortly before his 15th birthday,[1][5] losing to 23rd-seeded Vladislav Artemiev by one point in a tiebreaker.

In April 27, 2023, the event ended and Murzin came out at first place alongside Arseniy Nesterov finishing with a final score of 6.5/9 after 4 wins, 5 draws and 0 losses.

[4] On July 5, 2023, Murzin won the 2023 Russian Higher League in a tie with Evgeniy Najer, Pavel Ponkratov, Ivan Rozum, Klementy Sychev and Artyom Timofeev with a final score of 6/9 with 3 wins, 6 draws and 0 losses.

[4] On May 24, 2024, Murzin returned to play the 2024 Sharjah Master and won the event with a final score of 6.5/9 with 4 wins, 5 draws and 0 lossess.

[10] Murzin finished 8th in the Swiss-system tournament of World Blitz Chess Championship 2024, qualifying for the knockout stage, in which he lost to Ian Nepomniachtchi in the quarterfinals.