  We study the prospects to measure the CP-sensitive triple-product asymmetries
in neutralino production e+e- -> ~chi^0_i ~chi^0_1 and subsequent leptonic
two-body decays ~chi^0_i -> ~l_R l, ~l_R -> ~chi^0_1 l, for l=e, mu, within the
Minimal Supersymmetric Standard Model. We include a full detector simulation of
the International Large Detector for the International Linear Collider. The
simulation was performed at a center-of-mass energy of sqrt{s}=500 GeV,
including the relevant Standard Model background processes, a realistic beam
energy spectrum, beam backgrounds and a beam polarization of 80% and -60% for
the electron and positron beams, respectively. In order to effectively
disentangle different signal samples and reduce SM and SUSY backgrounds we
apply a method of kinematic reconstruction. Assuming an integrated luminosity
of 500 fb^-1 collected by the experiment and the performance of the current ILD
detector, we arrive at a relative measurement accuracy of 10% for the
CP-sensitive asymmetry in our scenario. We demonstrate that our method of
signal selection using kinematic reconstruction can be applied to a broad class
of scenarios and it allows disentangling processes with similar kinematic
properties.
