# 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(30, axiom,![X1]:![X17]:![X19]:s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X19),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X17)))))=s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X19),s(t_fun(X1,t_bool),X17))),file('i/f/pred_set/UNIV__FUN__TO__BOOL', ah4s_predu_u_sets_INu_u_POW)).
fof(32, axiom,![X1]:![X18]:(![X5]:p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X18))))<=>s(t_fun(X1,t_bool),X18)=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)),file('i/f/pred_set/UNIV__FUN__TO__BOOL', ah4s_predu_u_sets_EQu_u_UNIV)).
fof(43, axiom,![X1]:![X18]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X18),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)).
fof(50, axiom,p(s(t_bool,t)),file('i/f/pred_set/UNIV__FUN__TO__BOOL', aHLu_TRUTH)).
fof(54, axiom,![X6]:(s(t_bool,t)=s(t_bool,X6)<=>p(s(t_bool,X6))),file('i/f/pred_set/UNIV__FUN__TO__BOOL', ah4s_bools_EQu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
