Solution status: Optimal, Feasible, Infeasible or Inconsistent.
Solution and model are inconsistent.
The solver was able to prove that the model admits no feasible solution. Note that even a model without any constraint can be inconsistent, because some computations can yield undefined results. For instance, computing sqrt(x) with negative x yields an undefined value, which causes the solution to be invalid if it is used in an objective or a constraint (directly or indirectly).
Solution is infeasible (some constraints are violated).
Solution is feasible but optimality was not proven.
Solution is optimal (all objective bounds are reached).