# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_univ)=s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))),file('i/f/pred_set/UNIV__FUN__TO__BOOL', ch4s_predu_u_sets_UNIVu_u_FUNu_u_TOu_u_BOOL)).
fof(5, axiom,![X2]:(s(t_bool,t)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/pred_set/UNIV__FUN__TO__BOOL', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(7, axiom,![X1]:![X2]:![X4]:(s(t_fun(X1,t_bool),X4)=s(t_fun(X1,t_bool),X2)<=>![X3]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4)))=s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/UNIV__FUN__TO__BOOL', ah4s_predu_u_sets_EXTENSION)).
fof(8, axiom,![X1]:![X3]:p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/pred_set/UNIV__FUN__TO__BOOL', ah4s_predu_u_sets_INu_u_UNIV)).
fof(9, axiom,![X1]:![X5]:![X6]:s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X6),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X5)))))=s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X5))),file('i/f/pred_set/UNIV__FUN__TO__BOOL', ah4s_predu_u_sets_INu_u_POW)).
fof(10, axiom,![X1]:![X4]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/pred_set/UNIV__FUN__TO__BOOL', ah4s_predu_u_sets_SUBSETu_u_UNIV)).
# SZS output end CNFRefutation
