Kammala jumla mai zuwa: Roman Dworzyński ya sami nasarorin wasan chess na farko a shekarar 1951, inda ya lashe Zakopane a matsayin mataimakin zakara na gasar zakarun Poland na matasa kuma ya fara fitowa a Łódź a wasan karshe na gasar zakarun Poland. Har zuwa 1957 Roman Dworzyński ya halarci duka bakwai na karshe. Babban nasararsa a 1955 a Wrocław, inda ya lashe lambar azurfa. Godiya ga wannan nasarar, ya cancanci shiga tawagar kasa kuma ya yi a
12th Chess Olympiad a Moscow inda a kan tebur na 3 ya ci maki 81⁄2 a cikin wasanni 15. A cikin 1955 Roman Dworzyński ya bayyana a gasar wasannin chess ta duniya a Erfurt, kuma bayan shekara guda a Marianske Lazne, amma bai sami nasara a cikinsu ba. Yana da taken Jagora na Kasa. A cikin 1958 Roman Dworzyński kusan ya ƙare aikinsa na chess, a cikin shekaru masu zuwa ya bayyana a cikin wasanni na wasan kwaikwayo.