He has no known registered grandparents in his pedigree any further back. That is what we would refer to as a short pedigree. He may or may not have had big horned ancestors, we don't know. To the opposite, a long pedigree could extend five or more generations and document tremendous horn growth on every animal in the pedigree. A long pedigree of small horned animals could be so homozygous that it would take several generations of breeding mammoth horn to ever get out of the rut.
Long pedigrees help a student of genetics calculate consistency.
To a business minded producer, consistency is everything. The Texas Longhorn breed is a very inconsistent breed. Numerous animals are full brothers and sisters and have minimal similarities. As pedigrees get longer, for instance the WR herd, there will be a consistent body trait in every animal. As one evaluates the Wichita Refuge cattle that have been linebred into their own genetics for over 50 years, nearly every animal has strong similarities.