  We investigate the sensitivity of the non-exclusive nucleon induced deuteron
breakup reaction to the three-nucleon interaction and distributions of
three-nucleon force effects in inclusive spectra. To this end we solve the
three-nucleon Faddeev equation at a number of incoming nucleon laboratory
energies using the CD Bonn nucleon-nucleon interaction alone or combined with
the 2{\pi}-exchange Tucson-Melbourne three-nucleon force. Based on these
solutions energy spectra of an outgoing nucleon, at a specified detection angle
as well as spectra integrated over that angle, are calculated. By integrating
the spectra at a given angle over the energy of the outgoing nucleon the
angular distributions of three-nucleon force effects in the breakup process are
additionally obtained. Contrary to elastic nucleon-deuteron scattering, where
at higher energies significant three-nucleon force effects were encountered for
scattering angles around the minimum of the cross section, for the breakup
process only moderate effects are found and they are restricted to forward
angles. Results of the present investigation show that the large three-nucleon
force effects found for some specific complete breakup configurations are
reduced substantially in the incomplete spectra when averaging over
contributing complete geometries is performed.
