> Thanks, I noticed that one, but what if I only know an objective
> value, not the actual solution?

If you cannot demonstrate the solution, you cannot assert that the
objective value you know is valid.

> In fact, it seems the solution is not
> of much help for pruning, but just the objective value.

In any case you can add an inequality constraint that limits the
objective to a specified value, e.g. for minimization:

   c1 x1 + ... + cn xn <= obj value





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