  A single-sort continuum Curie-Weiss system of interacting particles is
studied. The particles are placed in the space $\mathbb{R}^d$ divided into
congruent cubic cells. For a region $V\subset \mathbb{R}^d$ consisting of $N\in
\mathbb{N}$ cells, every two particles contained in $V$ attract each other with
intensity $J_1/N$. The particles contained in the same cell are subjected to
binary repulsion with intensity $J_2>J_1$. For fixed values of the temperature,
the interaction intensities, and the chemical potential the thermodynamic phase
is defined as a probability measure on the space of occupation numbers of
cells, determined by a condition typical of Curie-Weiss theories. It is proved
that the half-plane $J_1\,\times\,$\textit{chemical potential} contains phase
coexistence points at which there exist two thermodynamic phases of the system.
An equation of state for this system is obtained.
