# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t0)),file('i/f/pred_set/SUM__SET__UNION', aHLu_TRUTH)).
fof(10, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t0)<=>p(s(t_bool,X1))),file('i/f/pred_set/SUM__SET__UNION', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X7]:![X1]:![X14]:![X4]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X7,t_bool),X14))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X7,t_bool),X1)))))=>s(t_h4s_nums_num,happ(s(t_fun(t_fun(X7,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_image(s(t_fun(X7,t_h4s_nums_num),X4))),s(t_fun(X7,t_bool),h4s_predu_u_sets_union(s(t_fun(X7,t_bool),X14),s(t_fun(X7,t_bool),X1)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,happ(s(t_fun(t_fun(X7,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_image(s(t_fun(X7,t_h4s_nums_num),X4))),s(t_fun(X7,t_bool),X14))),s(t_h4s_nums_num,happ(s(t_fun(t_fun(X7,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_image(s(t_fun(X7,t_h4s_nums_num),X4))),s(t_fun(X7,t_bool),X1))))),s(t_h4s_nums_num,happ(s(t_fun(t_fun(X7,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_image(s(t_fun(X7,t_h4s_nums_num),X4))),s(t_fun(X7,t_bool),h4s_predu_u_sets_inter(s(t_fun(X7,t_bool),X14),s(t_fun(X7,t_bool),X1)))))))),file('i/f/pred_set/SUM__SET__UNION', ah4s_predu_u_sets_SUMu_u_IMAGEu_u_UNION)).
fof(14, 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__UNION', ah4s_predu_u_sets_SUMu_u_SETu_u_DEF)).
fof(15, conjecture,![X1]:![X14]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X14))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),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_union(s(t_fun(t_h4s_nums_num,t_bool),X14),s(t_fun(t_h4s_nums_num,t_bool),X1)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(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),X14))),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),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_inter(s(t_fun(t_h4s_nums_num,t_bool),X14),s(t_fun(t_h4s_nums_num,t_bool),X1)))))))),file('i/f/pred_set/SUM__SET__UNION', ch4s_predu_u_sets_SUMu_u_SETu_u_UNION)).
# SZS output end CNFRefutation
