# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_measures_measureu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),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_measurableu_u_sets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3)))))))=>s(t_h4s_extreals_extreal,h4s_lebesgues_posu_u_fnu_u_integral(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3),s(t_fun(X1,t_h4s_extreals_extreal),h4s_measures_indicatoru_u_fn(s(t_fun(X1,t_bool),X2)))))=s(t_h4s_extreals_extreal,h4s_extreals_normal(s(t_h4s_realaxs_real,h4s_measures_measure(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3),s(t_fun(X1,t_bool),X2)))))),file('i/f/lebesgue/pos__fn__integral__indicator', ch4s_lebesgues_posu_u_fnu_u_integralu_u_indicator)).
fof(22, axiom,![X1]:![X3]:![X9]:((p(s(t_bool,h4s_measures_measureu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3))))&p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X9),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_measurableu_u_sets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3)))))))=>?[X2]:?[X13]:?[X14]:(p(s(t_bool,h4s_measures_posu_u_simpleu_u_fn(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3),s(t_fun(X1,t_h4s_extreals_extreal),h4s_measures_indicatoru_u_fn(s(t_fun(X1,t_bool),X9))),s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X13),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X14))))&s(t_h4s_extreals_extreal,h4s_lebesgues_posu_u_simpleu_u_fnu_u_integral(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3),s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X13),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X14)))=s(t_h4s_extreals_extreal,h4s_extreals_normal(s(t_h4s_realaxs_real,h4s_measures_measure(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3),s(t_fun(X1,t_bool),X9))))))),file('i/f/lebesgue/pos__fn__integral__indicator', ah4s_lebesgues_posu_u_simpleu_u_fnu_u_integralu_u_indicator)).
fof(25, axiom,![X1]:![X14]:![X2]:![X3]:![X17]:![X13]:((p(s(t_bool,h4s_measures_measureu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3))))&p(s(t_bool,h4s_measures_posu_u_simpleu_u_fn(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3),s(t_fun(X1,t_h4s_extreals_extreal),X17),s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X13),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X14)))))=>s(t_h4s_extreals_extreal,h4s_lebesgues_posu_u_fnu_u_integral(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3),s(t_fun(X1,t_h4s_extreals_extreal),X17)))=s(t_h4s_extreals_extreal,h4s_lebesgues_posu_u_simpleu_u_fnu_u_integral(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X3),s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X13),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X14)))),file('i/f/lebesgue/pos__fn__integral__indicator', ah4s_lebesgues_posu_u_fnu_u_integralu_u_posu_u_simpleu_u_fn)).
fof(28, axiom,p(s(t_bool,t)),file('i/f/lebesgue/pos__fn__integral__indicator', aHLu_TRUTH)).
fof(30, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/lebesgue/pos__fn__integral__indicator', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
