An exclusive analysis of the 4-body final states Λ + p + π + + K 0 and Σ 0 + p + π + + K 0 measured with HADES for p+p collisions at a beam kinetic energy of 3.5 GeV is presented. The analysis uses various phase space variables, such as missing mass and invariant mass distributions, in the four particle event selection (p, π + , π + , π − ) to find cross sections of the different production channels, contributions of the intermediate resonances ∆ ++ and Σ(1385) + and corresponding angular distributions. A dominant resonant production is seen, where the reaction Λ + ∆ ++ + K 0 has an about ten times higher cross section (29.45 ± 0.08 +1.67 −1.46 ± 2.06 µb) than the analogous non-resonant reaction (2.57 ± 0.02 +0.21 −1.98 ± 0.18 µb). A similar result is obtained in the corresponding Σ 0 channels with 9.26 ± 0.05 +1.41 −0.31 ± 0.65 mub in the resonant and 1.35 ± 0.02 +0.10 −1.35 ± 0.09 µb in the non-resonant reactions.