# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(t_fun(X1,t_bool),X2)))=s(t_bool,d_exists(s(t_fun(X1,t_bool),X2))),file('i/f/res_quan/RES__EXISTS__UNIV', ch4s_resu_u_quans_RESu_u_EXISTSu_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__EXISTS__UNIV', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(31, axiom,![X1]:![X5]:(p(s(t_bool,d_exists(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__EXISTS__UNIV', ah4s_bools_EXISTSu_u_THM)).
fof(32, axiom,![X1]:![X7]:s(t_bool,d_exists(s(t_fun(X1,t_bool),X7)))=s(t_bool,happ(s(t_fun(X1,t_bool),X7),s(X1,h4s_mins_u_40(s(t_fun(X1,t_bool),X7))))),file('i/f/res_quan/RES__EXISTS__UNIV', ah4s_bools_EXISTSu_u_DEF)).
fof(35, axiom,![X1]:![X7]:![X26]:(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),X26))))<=>?[X27]:(p(s(t_bool,h4s_bools_in(s(X1,X27),s(t_fun(X1,t_bool),X7))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X26),s(X1,X27)))))),file('i/f/res_quan/RES__EXISTS__UNIV', ah4s_bools_RESu_u_EXISTSu_u_DEF)).
fof(37, axiom,![X1]:![X7]:![X14]:s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X14)))=s(t_bool,happ(s(t_fun(X1,t_bool),X14),s(X1,X7))),file('i/f/res_quan/RES__EXISTS__UNIV', ah4s_predu_u_sets_SPECIFICATION)).
fof(39, 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__EXISTS__UNIV', ah4s_predu_u_sets_INu_u_UNIV)).
fof(64, axiom,![X1]:![X7]:~(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/res_quan/RES__EXISTS__UNIV', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(67, axiom,~(p(s(t_bool,f))),file('i/f/res_quan/RES__EXISTS__UNIV', aHLu_FALSITY)).
fof(68, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/res_quan/RES__EXISTS__UNIV', aHLu_BOOLu_CASES)).
fof(70, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/res_quan/RES__EXISTS__UNIV', ah4s_bools_NOTu_u_CLAUSESu_c2)).
fof(72, axiom,![X9]:(s(t_bool,f)=s(t_bool,X9)<=>~(p(s(t_bool,X9)))),file('i/f/res_quan/RES__EXISTS__UNIV', ah4s_bools_EQu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
