# 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(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/POW__EMPTY', aHLu_FALSITY)).
fof(8, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/pred_set/POW__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(14, 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(15, axiom,![X1]:![X2]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/POW__EMPTY', ah4s_predu_u_sets_EMPTYu_u_SUBSET)).
fof(19, axiom,![X1]:![X16]:![X17]:s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X17),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X16)))))=s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X17),s(t_fun(X1,t_bool),X16))),file('i/f/pred_set/POW__EMPTY', ah4s_predu_u_sets_INu_u_POW)).
# SZS output end CNFRefutation
