# 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)),X3))))&p(s(t_bool,h4s_bools_in(s(t_fun(X1,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)),X3)))))))=>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)),X3))),s(t_fun(X1,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)),X3))))))),file('i/f/measure/CLOSED__CDI__COMPL', ch4s_measures_CLOSEDu_u_CDIu_u_COMPL)).
fof(10, axiom,![X1]:![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)),X3))))<=>(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)),X3))),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)),X3))))))&(![X2]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,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)),X3))))))=>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)),X3))),s(t_fun(X1,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)),X3)))))))&(![X12]:((p(s(t_bool,h4s_bools_in(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X12),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)),X3))))))))&(s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X12),s(t_h4s_nums_num,h4s_nums_0)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)&![X13]: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)),X12),s(t_h4s_nums_num,X13))),s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X12),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13))))))))))=>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)),X12),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)),X3)))))))&![X12]:((p(s(t_bool,h4s_bools_in(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X12),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)),X3))))))))&![X14]:![X13]:(~(s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,X13))=>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)),X12),s(t_h4s_nums_num,X14))),s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X12),s(t_h4s_nums_num,X13))))))))=>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)),X12),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)),X3))))))))))),file('i/f/measure/CLOSED__CDI__COMPL', ah4s_measures_closedu_u_cdiu_u_def)).
# SZS output end CNFRefutation
