# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)))),file('i/f/finite_map/FEVERY__FEMPTY', ch4s_finiteu_u_maps_FEVERYu_u_FEMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/FEVERY__FEMPTY', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/FEVERY__FEMPTY', aHLu_FALSITY)).
fof(11, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/finite_map/FEVERY__FEMPTY', aHLu_BOOLu_CASES)).
fof(13, axiom,![X2]:![X1]:![X12]:![X3]:(p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12))))<=>![X7]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X7),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12),s(X1,X7)))))))))),file('i/f/finite_map/FEVERY__FEMPTY', ah4s_finiteu_u_maps_FEVERYu_u_DEF)).
fof(14, axiom,![X2]:![X1]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/FEVERY__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(16, axiom,![X1]:![X7]:~(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/FEVERY__FEMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
