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There are no experimental bounds for the anomalous Wtb couplings provided in the tW-associated single top quark production in the final signature with lepton plus jets so far. The main reason for the situation is the difficulties with the modeling of such a pro- cess. Different schemes of the tW-associated single top quark production modeling have different sensitivity to the anomalous Wtb couplings and prospective their constraints are strongly scheme-dependent. The most preferable is the usage of the full gauge-invariant set of the diagrams. However one needs to discriminate the different phase space regions in this case anyway. In the article the separation between top pair and tW-associated single top quark production processes with the help of Neural Network technique is pre- sented. The full scheme with the complete gauge invariant set of Feynman diagrams is used.