Analyzing the electronic properties of individual terphenyldithiol (TPT) molecules in a temperature range of 30-300 K using cryogenic mechanically, controllable break junctions, we observe an unexpected change of the transport mechanism with temperature for this linear and symmetric aromatic molecule. Whereas the work function (similar to 3.8 eV) and molecular energy level,( similar to 0.8 to similar to 1 eV depending on the analysis of the data) of TPT are temperature-independent elastic tunneling dominates charge transport at low temperatures, whereby an inelastic transport (via hopping) sets in at about 100 K. The molecular level of TPT lies around 1 eV and is temperature-independent. This unusual temperature dependence agrees with recent predictions for other short molecules using density-functional-based transport studies as well as experimental observations obtained for similar relatively short rodlike molecules.