# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_count(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/pred_set/COUNT__applied', ch4s_predu_u_sets_COUNTu_u_applied)).
fof(6, axiom,![X9]:![X8]:![X10]:s(t_bool,h4s_bools_in(s(X9,X8),s(t_fun(X9,t_bool),X10)))=s(t_bool,happ(s(t_fun(X9,t_bool),X10),s(X9,X8))),file('i/f/pred_set/COUNT__applied', ah4s_bools_INu_u_DEF)).
fof(7, axiom,![X1]:![X2]:s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_count(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/pred_set/COUNT__applied', ah4s_predu_u_sets_INu_u_COUNT)).
# SZS output end CNFRefutation
