Граждане Тимофеева и Демидов проживали совместно

Citizens Timofeev and Demidov lived together and kept a common household without registering a marriage for several years. Then a conflict arose between them, relations went wrong and they began to live separately. After some time, Timofeeva went to court with a lawsuit on the division of jointly acquired property (land, TV, refrigerator, furniture, stocks, cash contribution to Sberbank).
Which branch of law can a court apply in resolving this dispute? Based on these standards, divide the property between Timofeeva and Demidov.

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