# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_topologys_open(s(t_h4s_topologys_topology(X1),X2))),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))),file('i/f/topology/TOPOLOGY_c0', ch4s_topologys_TOPOLOGYu_c0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/topology/TOPOLOGY_c0', aHLu_FALSITY)).
fof(6, axiom,![X3]:(s(t_bool,X3)=s(t_bool,f)<=>~(p(s(t_bool,X3)))),file('i/f/topology/TOPOLOGY_c0', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(42, axiom,![X1]:![X22]:![X20]:(![X4]:(s(X1,X4)=s(X1,X22)=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X20),s(X1,X4)))))<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X20),s(X1,X22))))),file('i/f/topology/TOPOLOGY_c0', ah4s_bools_UNWINDu_u_FORALLu_u_THM2)).
fof(67, 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_c0', ah4s_topologys_topologyu_u_tybiju_c0)).
fof(68, axiom,![X1]:![X15]:(p(s(t_bool,happ(s(t_fun(t_fun(t_fun(X1,t_bool),t_bool),t_bool),h4s_topologys_istopology),s(t_fun(t_fun(X1,t_bool),t_bool),X15))))<=>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),X15)))))=s(t_fun(t_fun(X1,t_bool),t_bool),X15)),file('i/f/topology/TOPOLOGY_c0', ah4s_topologys_topologyu_u_tybiju_c1)).
fof(83, axiom,![X1]:![X2]:(p(s(t_bool,happ(s(t_fun(t_fun(t_fun(X1,t_bool),t_bool),t_bool),h4s_topologys_istopology),s(t_fun(t_fun(X1,t_bool),t_bool),X2))))<=>(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X2),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),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))))&(![X11]:![X32]:((p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X2),s(t_fun(X1,t_bool),X11))))&p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X2),s(t_fun(X1,t_bool),X32)))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X2),s(t_fun(X1,t_bool),h4s_topologys_reu_u_intersect(s(t_fun(X1,t_bool),X11),s(t_fun(X1,t_bool),X32)))))))&![X12]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(t_fun(X1,t_bool),t_bool),X12),s(t_fun(t_fun(X1,t_bool),t_bool),X2))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),X12))))))))))),file('i/f/topology/TOPOLOGY_c0', ah4s_topologys_istopology0)).
# SZS output end CNFRefutation
