# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(t_fun(X1,t_bool),t_bool),X2),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_topologys_open(s(t_h4s_topologys_topology(X1),X3))))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_topologys_open(s(t_h4s_topologys_topology(X1),X3))),s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),X2))))))),file('i/f/topology/TOPOLOGY_c3', ch4s_topologys_TOPOLOGYu_c3)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/topology/TOPOLOGY_c3', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/topology/TOPOLOGY_c3', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X5]:(p(s(t_bool,h4s_topologys_istopology(s(t_fun(t_fun(X1,t_bool),t_bool),X5))))<=>s(t_fun(t_fun(X1,t_bool),t_bool),h4s_topologys_open(s(t_h4s_topologys_topology(X1),h4s_topologys_topology0(s(t_fun(t_fun(X1,t_bool),t_bool),X5)))))=s(t_fun(t_fun(X1,t_bool),t_bool),X5)),file('i/f/topology/TOPOLOGY_c3', ah4s_topologys_topologyu_u_tybiju_c1)).
fof(9, axiom,![X1]:![X3]:(p(s(t_bool,h4s_topologys_istopology(s(t_fun(t_fun(X1,t_bool),t_bool),X3))))<=>(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))&(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))))&(![X11]:![X12]:((p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X3),s(t_fun(X1,t_bool),X11))))&p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X3),s(t_fun(X1,t_bool),X12)))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X3),s(t_fun(X1,t_bool),h4s_topologys_reu_u_intersect(s(t_fun(X1,t_bool),X11),s(t_fun(X1,t_bool),X12)))))))&![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(t_fun(X1,t_bool),t_bool),X2),s(t_fun(t_fun(X1,t_bool),t_bool),X3))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),X2))))))))))),file('i/f/topology/TOPOLOGY_c3', ah4s_topologys_istopology0)).
fof(10, axiom,![X1]:![X11]:s(t_h4s_topologys_topology(X1),h4s_topologys_topology0(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_topologys_open(s(t_h4s_topologys_topology(X1),X11)))))=s(t_h4s_topologys_topology(X1),X11),file('i/f/topology/TOPOLOGY_c3', ah4s_topologys_topologyu_u_tybiju_c0)).
fof(11, axiom,![X13]:(s(t_bool,X13)=s(t_bool,t)|s(t_bool,X13)=s(t_bool,f)),file('i/f/topology/TOPOLOGY_c3', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
