# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funion(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)<=>(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)&s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty))),file('i/f/finite_map/FUNION__EQ__FEMPTY', ch4s_finiteu_u_maps_FUNIONu_u_EQu_u_FEMPTY)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/FUNION__EQ__FEMPTY', aHLu_FALSITY)).
fof(8, axiom,![X7]:(s(t_bool,f)=s(t_bool,X7)<=>~(p(s(t_bool,X7)))),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(18, 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/FUNION__EQ__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(19, axiom,![X1]:![X2]:![X20]:![X21]:((s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21)))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X20)))&![X9]:(p(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21))))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21),s(X1,X9)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X20),s(X1,X9)))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X20)),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
fof(20, axiom,![X1]:![X2]:![X20]:![X21]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funion(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X20)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21))),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X20))))),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_finiteu_u_maps_FUNIONu_u_DEFu_c0)).
fof(24, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(25, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/finite_map/FUNION__EQ__FEMPTY', aHLu_BOOLu_CASES)).
fof(26, axiom,![X1]:![X9]:~(p(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(29, axiom,![X1]:![X7]:![X24]:(s(t_fun(X1,t_bool),X24)=s(t_fun(X1,t_bool),X7)<=>![X9]:s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),X24)))=s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),X7)))),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_predu_u_sets_EXTENSION)).
fof(30, axiom,![X1]:![X9]:![X7]:![X24]:(p(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X24),s(t_fun(X1,t_bool),X7))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),X24))))|p(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),X7)))))),file('i/f/finite_map/FUNION__EQ__FEMPTY', ah4s_predu_u_sets_INu_u_UNION)).
# SZS output end CNFRefutation
