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On the other hand, it seems to be very difficult to determine the value of an unsatisfiable game, even approximately.
This can be analyzed to produce a smaller unsatisfiable core.
If all nodes in the tree have been evaluated without success, the instance is unsatisfiable.
As an example, the set can only be proved unsatisfiable if both and are generated from .
As a result, if this set is detected unsatisfiable, the interpreter backtracks.
It is called "unsatisfiable" in the second case.
If this expansion leads to unsatisfiability, the original formula is unsatisfiable.
There are several practical methods of computing minimal unsatisfiable cores.
If this number is zero, the instance is unsatisfiable.
First there is the feeling of untiring bodily energy, and later the unsatisfiable yearning for some other far place.
These methods can sometimes but not always prove unsatisfiability of an unsatisfiable constraint store.
This operation may not detect inconsistency even if the constraint store is unsatisfiable.
If the answer is "no", the formula is unsatisfiable.
Despite their reputation as unsatisfiable, Waratahs fans are actually an easily pleased mob.
So a whole network of cultural forms become inadequate to satisfy important needs, which therefore seem unsatisfiable, and the result is weltschmerz.
Unsatisfiable statements, both through negation and affirmation, are known formally as contradictions.
In principle, whenever the constraint store is unsatisfiable the algorithm could backtrack.
Otherwise, an unsatisfiable set can generate an infinite-growing tableau.
If this set is found out to be unsatisfiable, the interpreter backtracks, trying to use other clauses for proving the goal.
This sentence is unsatisfiable (a contradiction) because of the universal quantifier .
It has neither atomised our society nor led to unsatisfiable clamours for group rights and separatisms.
Such a set is easily recognizable as satisfiable or unsatisfiable with respect to the semantics of the logic in question.
With this variant, a proof for an unsatisfiable set can always be found by a suitable policy of application of the other rules.
In a complete logic, a formula is contradictory if and only if it is unsatisfiable.
If φ is not valid, then the search for an unsatisfiable ground instance will not terminate.