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why3/examples/logic/ffx.why
2013-10-10 15:10:16 +02:00

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theory T
type t
predicate r t
function f t : t
axiom a : forall x:t. r x \/ r (f x)
goal g1 : exists x:t. r x /\ r (f (f x))
goal g2 : exists x:t. r x /\ r (f (f (f (f x))))
goal g3 : exists x:t. r x /\ r (f (f (f (f (f (f x))))))
goal g4 : exists x:t. r x /\ r (f (f (f (f (f (f (f (f x))))))))
goal g5 : exists x:t. r x /\ r (f (f (f (f (f (f (f (f (f (f x))))))))))
goal g6 : exists x:t. r x /\ r (f (f (f (f (f (f (f (f (f (f (f (f x))))))))))))
goal g7 : exists x:t. r x /\ r (f (f (f (f (f (f (f (f (f (f (f (f (f (f x))))))))))))))
end