# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_topologys_open(s(t_h4s_topologys_topology(X1),X4))),s(t_fun(X1,t_bool),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),X4))),s(t_fun(X1,t_bool),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),X4))),s(t_fun(X1,t_bool),h4s_topologys_reu_u_intersect(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))))),file('i/f/topology/TOPOLOGY_c2', ch4s_topologys_TOPOLOGYu_c2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/topology/TOPOLOGY_c2', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/topology/TOPOLOGY_c2', 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_c2', ah4s_topologys_topologyu_u_tybiju_c1)).
fof(9, axiom,![X1]:![X4]:(p(s(t_bool,h4s_topologys_istopology(s(t_fun(t_fun(X1,t_bool),t_bool),X4))))<=>(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X4),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),X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))))&(![X10]:![X11]:((p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X4),s(t_fun(X1,t_bool),X10))))&p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X4),s(t_fun(X1,t_bool),X11)))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X4),s(t_fun(X1,t_bool),h4s_topologys_reu_u_intersect(s(t_fun(X1,t_bool),X10),s(t_fun(X1,t_bool),X11)))))))&![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),X4))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),X4),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_c2', ah4s_topologys_istopology0)).
fof(10, axiom,![X1]:![X10]: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),X10)))))=s(t_h4s_topologys_topology(X1),X10),file('i/f/topology/TOPOLOGY_c2', 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_c2', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
