# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(t_fun(X1,t_bool),X2)))=s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),d_forall),s(t_fun(X1,t_bool),X2))),file('i/f/res_quan/RES__FORALL__UNIV', ch4s_resu_u_quans_RESu_u_FORALLu_u_UNIV)).
fof(4, axiom,![X10]:![X11]:((p(s(t_bool,X11))=>p(s(t_bool,X10)))=>((p(s(t_bool,X10))=>p(s(t_bool,X11)))=>s(t_bool,X11)=s(t_bool,X10))),file('i/f/res_quan/RES__FORALL__UNIV', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(33, axiom,![X1]:![X7]:![X24]:(p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),X24))))<=>![X25]:(p(s(t_bool,h4s_bools_in(s(X1,X25),s(t_fun(X1,t_bool),X7))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X24),s(X1,X25)))))),file('i/f/res_quan/RES__FORALL__UNIV', ah4s_bools_RESu_u_FORALLu_u_DEF)).
fof(35, axiom,![X1]:![X7]:![X19]:s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X19)))=s(t_bool,happ(s(t_fun(X1,t_bool),X19),s(X1,X7))),file('i/f/res_quan/RES__FORALL__UNIV', ah4s_predu_u_sets_SPECIFICATION)).
fof(44, axiom,![X1]:![X5]:(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),d_forall),s(t_fun(X1,t_bool),X5))))<=>![X7]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X7))))),file('i/f/res_quan/RES__FORALL__UNIV', ah4s_bools_FORALLu_u_THM)).
fof(45, axiom,![X1]:![X7]:(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_bool),t_bool),d_forall),s(t_fun(X1,t_bool),X7))))<=>![X25]:s(t_bool,happ(s(t_fun(X1,t_bool),X7),s(X1,X25)))=s(t_bool,t)),file('i/f/res_quan/RES__FORALL__UNIV', ah4s_bools_FORALLu_u_DEF)).
fof(58, axiom,![X1]:![X7]:p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/res_quan/RES__FORALL__UNIV', ah4s_predu_u_sets_INu_u_UNIV)).
fof(62, axiom,p(s(t_bool,t)),file('i/f/res_quan/RES__FORALL__UNIV', aHLu_TRUTH)).
fof(63, axiom,~(p(s(t_bool,f))),file('i/f/res_quan/RES__FORALL__UNIV', aHLu_FALSITY)).
fof(66, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/res_quan/RES__FORALL__UNIV', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(68, axiom,(p(s(t_bool,f))<=>![X9]:p(s(t_bool,X9))),file('i/f/res_quan/RES__FORALL__UNIV', ah4s_bools_Fu_u_DEF)).
# SZS output end CNFRefutation
