# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_set),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_insert(s(t_h4s_nums_num,X1),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)))))=s(t_h4s_nums_num,X1),file('i/f/pred_set/SUM__SET__SING', ch4s_predu_u_sets_SUMu_u_SETu_u_SING)).
fof(8, axiom,![X8]:![X7]:s(X8,happ(s(t_fun(X8,X8),h4s_combins_i),s(X8,X7)))=s(X8,X7),file('i/f/pred_set/SUM__SET__SING', ah4s_combins_Iu_u_THM)).
fof(9, axiom,![X8]:![X5]:![X9]:s(t_h4s_nums_num,happ(s(t_fun(t_fun(X8,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_image(s(t_fun(X8,t_h4s_nums_num),X5))),s(t_fun(X8,t_bool),h4s_predu_u_sets_insert(s(X8,X9),s(t_fun(X8,t_bool),h4s_predu_u_sets_empty)))))=s(t_h4s_nums_num,happ(s(t_fun(X8,t_h4s_nums_num),X5),s(X8,X9))),file('i/f/pred_set/SUM__SET__SING', ah4s_predu_u_sets_SUMu_u_IMAGEu_u_SING)).
fof(10, axiom,s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_set)=s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_image(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_combins_i))),file('i/f/pred_set/SUM__SET__SING', ah4s_predu_u_sets_SUMu_u_SETu_u_DEF)).
# SZS output end CNFRefutation
