  The work deals with the qualification of semidiscrete hyperbolic type
equations. We study a class of equations of the form
$$\frac{du_{n+1}}{dx}=f\left(\frac{du_{n}}{dx},u_{n+1},u_{n}\right),$$ here the
unknown function $u_n(x)$ depends on one discrete $n$ and one continuous $x$
variables. Qualification is based on the requirement of the existence of higher
symmetries. The case is considered when the symmetry is of order 5 in
continuous directions. As a result, a list of four equations with the required
conditions is obtained. For one of the found equations, a Lax representation is
constructed.
