# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_measures_closedu_u_cdi(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2))))&(p(s(t_bool,h4s_bools_in(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_fun(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),t_bool),h4s_utilu_u_probs_funset(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2))))))))&![X4]:![X5]:(~(s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,X5))=>p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_h4s_nums_num,X4))),s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_h4s_nums_num,X5)))))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_image(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ))))),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2))))))),file('i/f/measure/CLOSED__CDI__DISJOINT', ch4s_measures_CLOSEDu_u_CDIu_u_DISJOINT)).
fof(16, axiom,![X1]:![X2]:(p(s(t_bool,h4s_measures_closedu_u_cdi(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2))))<=>(p(s(t_bool,h4s_measures_subsetu_u_class(s(t_fun(X1,t_bool),h4s_measures_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2))),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2))))))&(![X14]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X14),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),h4s_measures_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2))),s(t_fun(X1,t_bool),X14))),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2)))))))&(![X3]:((p(s(t_bool,h4s_bools_in(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_fun(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),t_bool),h4s_utilu_u_probs_funset(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2))))))))&(s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_h4s_nums_num,h4s_nums_0)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)&![X5]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_h4s_nums_num,X5))),s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5))))))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_image(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ))))),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2)))))))&![X3]:((p(s(t_bool,h4s_bools_in(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_fun(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),t_bool),h4s_utilu_u_probs_funset(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2))))))))&![X4]:![X5]:(~(s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,X5))=>p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_h4s_nums_num,X4))),s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_h4s_nums_num,X5))))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_image(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X3),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ))))),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2))))))))))),file('i/f/measure/CLOSED__CDI__DISJOINT', ah4s_measures_closedu_u_cdiu_u_def)).
# SZS output end CNFRefutation
