The deuteron breakup reaction pd → {pp} s n, where {pp} s is a fast proton pair emitted in forward direction with small excitation energy E pp < 3 MeV, has been studied at proton beam energies of 0.5-2.0 GeV using the ANKE spectrometer at COSY-Jülich. The differential c.m. cross sections are measured in complete kinematics and provide angular distributions of the neutron emission angle in the range θ n = 168 •-180 • , the dependence on beam energy at θ n = 180 • , angular distributions of the direction of the proton in the pp rest frame, and distributions of the excitation energy E pp of the proton pair. The obtained data are analyzed on the basis of theoretical models previously developed for the pd → dp process in a similar kinematics and properly modified for the diproton channel in pd → {pp} s n. It is shown that the measured observables are highly sensitive to the short-range part of the nucleon-nucleon interaction.