The deuteron to proton polarization transfer coefficients for the d-p elastic scattering were precisely measured with an incoming deuteron energy of 135 MeV/u at the RIKEN Accelerator Research Facility. The data are compared to theoretical predictions based on exact solutions of three-nucleon Faddeev equations with high-precision nucleon-nucleon forces combined with different three-nucleon forces (3NFs), representing the current, most popular models: the 2π-exchange Tucson-Melbourne model, a modification thereof closer to chiral symmetry TM ′ (99), and the Urbana IX 3NF. Theory predicts large 3NF effects, especially in the angular range around the cross section minimum, but the present data only partially concurs, predominantly for KFor the induced polarization, P y ′ , the TM ′ (99) and Urbana IX 3NFs reproduce the data, but the Tucson-Melbourne 3NF fails to describe the data. For the polarization transfer coefficients, K y ′ y and K y ′ xz , the predicted 3NF effects are in drastic conflict to the data. These facts clearly reveal the defects of the 3NF models currently used.