Rubuta ci gaba don wannan sakin layi - Ya lashe gasar a Trollhättan 1925 (Swedish Chess Championship), ya ɗauki 3rd a Karlskrona 1932, kuma ya ɗauki 12th a Nordic Chess Championship a Copenhagen 1934 (Aron Nimzowitsch ya lashe). Kinnmark ya wakilci Sweden a gasar Olympics ta Chess ta 3 ba bisa ka'ida ba
a Munich 1936 (+ 4 = 3 <unk> 6).