# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X2)))=s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/POW__EMPTY', ch4s_predu_u_sets_POWu_u_EMPTY)).
fof(38, 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/pred_set/POW__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(40, axiom,![X1]:![X7]:![X2]:~(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X7),s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/POW__EMPTY', ah4s_predu_u_sets_NOTu_u_EMPTYu_u_INSERT)).
fof(44, axiom,![X1]:![X7]:s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/POW__EMPTY', ah4s_predu_u_sets_RESTu_u_SING)).
fof(55, axiom,![X1]:![X7]:![X13]:s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X13)))=s(t_bool,happ(s(t_fun(X1,t_bool),X13),s(X1,X7))),file('i/f/pred_set/POW__EMPTY', ah4s_predu_u_sets_SPECIFICATION)).
fof(57, axiom,![X1]:![X31]:![X28]:s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X28),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X31)))))=s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X28),s(t_fun(X1,t_bool),X31))),file('i/f/pred_set/POW__EMPTY', ah4s_predu_u_sets_INu_u_POW)).
fof(60, axiom,![X1]:![X11]:![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X11))))<=>![X7]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X11)))))),file('i/f/pred_set/POW__EMPTY', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(64, axiom,![X1]:![X7]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X2))))<=>s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X7),s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),X2)),file('i/f/pred_set/POW__EMPTY', ah4s_predu_u_sets_ABSORPTION)).
# SZS output end CNFRefutation
