# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X1,t_bool),X2)))),file('i/f/res_quan/RES__FORALL__EMPTY', ch4s_resu_u_quans_RESu_u_FORALLu_u_EMPTY)).
fof(40, axiom,![X1]:![X6]:![X25]:(p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X25))))<=>![X26]:(p(s(t_bool,h4s_bools_in(s(X1,X26),s(t_fun(X1,t_bool),X6))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X25),s(X1,X26)))))),file('i/f/res_quan/RES__FORALL__EMPTY', ah4s_bools_RESu_u_FORALLu_u_DEF)).
fof(52, axiom,![X1]:![X6]:![X9]:s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X9)))=s(t_bool,happ(s(t_fun(X1,t_bool),X9),s(X1,X6))),file('i/f/res_quan/RES__FORALL__EMPTY', ah4s_predu_u_sets_SPECIFICATION)).
fof(54, axiom,![X1]:![X6]:~(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/res_quan/RES__FORALL__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(63, axiom,p(s(t_bool,t)),file('i/f/res_quan/RES__FORALL__EMPTY', aHLu_TRUTH)).
fof(64, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/res_quan/RES__FORALL__EMPTY', aHLu_BOOLu_CASES)).
fof(71, axiom,(~(p(s(t_bool,t)))<=>p(s(t_bool,f))),file('i/f/res_quan/RES__FORALL__EMPTY', ah4s_bools_NOTu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
