Nonaxiomatizability of lattice-orderable rings

Two elementarily equivalent rings, one of which is lattice-orderable and the other is not lattice-orderable, are constructed. Hence follows the elementary non closedness and the nonaxiomatizability of the class of all lattice-orderable rings. This example shows that the class of all lattice-orderable rings is nonaxiomatizable in the class of directedly orderable rings.