We study the prospects to measure the CP-sensitive triple-product asymmetries in neutralino production e(+) e(-) -> (chi) over tilde (0)(i)(chi) over tilde (0)(1) and subsequent leptonic two-body decays (chi) over tilde (0)(i) -> (l) over tilde (R)l, (l) over tilde (R) -> (chi) over tilde (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 root s = 500 GeV, including the relevant StandardModel 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 relativemeasurement 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.