Was the origin of DNA determined? 

No. 

Citation:

Origin and Evolution of DNA and DNA Replication Machineries

Patrick Forterre, Jonathan Filée, and Hannu Myllykallio.

https://www.ncbi.nlm.nih.gov/books/NBK6360

No, this study only proposes several contradicting hypotheses as highlighted in the screenshot. 

A hypothesis is an educated guess or a proposed explanation for a phenomenon or a problem. It’s a statement that can be tested and potentially proven or disproven through experimentation, research, or data analysis. A good hypothesis should be specific, testable, and falsifiable, meaning it can be proven or disproven through evidence. Hypotheses are often used in scientific research, critical thinking, and problem-solving to guide investigation and exploration. They can be thought of as a starting point for further investigation, and they can be refined or revised as new information becomes available.