File: problem54.dfg

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begin_problem(Pelletier54).

list_of_descriptions.
name({*Pelletier's Problem No. 54*}).
author({*Christoph Weidenbach*}).
status(unsatisfiable).
description({*Problem taken in revised form from the "Pelletier Collection", Journal of Automated
	Reasoning, Vol. 2, No. 2, pages 191-216*}).
end_of_list.

list_of_symbols.
  predicates[(F,2)].
end_of_list.

list_of_formulae(axioms).

formula(forall([U],exists([V],forall([W],equiv(F(W,V),equal(W,U)))))).
end_of_list.

list_of_formulae(conjectures).

formula(not(exists([U],forall([V],equiv(F(V,U),forall([W],implies(F(V,W),exists([X],and(F(X,W),not(exists([Y],and(F(Y,W),F(Y,X))))))))))))).

end_of_list.

end_problem.