# 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(30, axiom,![X1]:![X21]:![X22]:(![X5]:(s(X1,X5)=s(X1,X21)=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X22),s(X1,X5)))))<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X22),s(X1,X21))))),file('i/f/topology/TOPOLOGY_c3', ah4s_bools_UNWINDu_u_FORALLu_u_THM2)).
fof(62, axiom,![X1]:![X20]: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),X20)))))=s(t_h4s_topologys_topology(X1),X20),file('i/f/topology/TOPOLOGY_c3', ah4s_topologys_topologyu_u_tybiju_c0)).
fof(63, axiom,![X1]:![X13]:(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),X13))))<=>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),X13)))))=s(t_fun(t_fun(X1,t_bool),t_bool),X13)),file('i/f/topology/TOPOLOGY_c3', ah4s_topologys_topologyu_u_tybiju_c1)).
fof(68, axiom,![X1]:![X3]:(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),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))))&(![X20]:![X40]:((p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X3),s(t_fun(X1,t_bool),X20))))&p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X3),s(t_fun(X1,t_bool),X40)))))=>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),X20),s(t_fun(X1,t_bool),X40)))))))&![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(98, axiom,p(s(t_bool,t)),file('i/f/topology/TOPOLOGY_c3', aHLu_TRUTH)).
fof(99, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/topology/TOPOLOGY_c3', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
