# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/measure/MEASURE__SPACE__BIGUNION', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/measure/MEASURE__SPACE__BIGUNION', aHLu_FALSITY)).
fof(8, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/measure/MEASURE__SPACE__BIGUNION', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(13, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/measure/MEASURE__SPACE__BIGUNION', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(32, axiom,![X7]:![X19]:![X4]:![X12]:![X8]:(p(s(t_bool,h4s_bools_in(s(t_fun(X7,X19),X4),s(t_fun(t_fun(X7,X19),t_bool),h4s_utilu_u_probs_funset(s(t_fun(X7,t_bool),X8),s(t_fun(X19,t_bool),X12))))))<=>![X6]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X8))))=>p(s(t_bool,h4s_bools_in(s(X19,happ(s(t_fun(X7,X19),X4),s(X7,X6))),s(t_fun(X19,t_bool),X12)))))),file('i/f/measure/MEASURE__SPACE__BIGUNION', ah4s_utilu_u_probs_INu_u_FUNSET)).
fof(34, axiom,![X7]:![X11]:![X6]:s(t_fun(t_fun(X7,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),h4s_pairs_u_2c(s(t_fun(X7,t_bool),X6),s(t_fun(t_fun(X7,t_bool),t_bool),X11)))))=s(t_fun(t_fun(X7,t_bool),t_bool),X11),file('i/f/measure/MEASURE__SPACE__BIGUNION', ah4s_measures_subsetsu_u_def)).
fof(35, axiom,![X7]:![X20]:(p(s(t_bool,h4s_measures_measureu_u_space(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X7,t_bool),t_bool),t_fun(t_fun(X7,t_bool),t_h4s_realaxs_real))),X20))))<=>(p(s(t_bool,h4s_measures_sigmau_u_algebra(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),h4s_pairs_u_2c(s(t_fun(X7,t_bool),h4s_measures_mu_u_space(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X7,t_bool),t_bool),t_fun(t_fun(X7,t_bool),t_h4s_realaxs_real))),X20))),s(t_fun(t_fun(X7,t_bool),t_bool),h4s_measures_measurableu_u_sets(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X7,t_bool),t_bool),t_fun(t_fun(X7,t_bool),t_h4s_realaxs_real))),X20))))))))&(p(s(t_bool,h4s_measures_positive(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X7,t_bool),t_bool),t_fun(t_fun(X7,t_bool),t_h4s_realaxs_real))),X20))))&p(s(t_bool,h4s_measures_countablyu_u_additive(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X7,t_bool),t_bool),t_fun(t_fun(X7,t_bool),t_h4s_realaxs_real))),X20))))))),file('i/f/measure/MEASURE__SPACE__BIGUNION', ah4s_measures_measureu_u_spaceu_u_def)).
fof(36, axiom,![X7]:![X21]:(p(s(t_bool,h4s_measures_sigmau_u_algebra(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X21))))<=>(p(s(t_bool,h4s_measures_subsetu_u_class(s(t_fun(X7,t_bool),h4s_measures_space(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X21))),s(t_fun(t_fun(X7,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X21))))))&(p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),h4s_predu_u_sets_empty),s(t_fun(t_fun(X7,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X21))))))&(![X22]:(p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),X22),s(t_fun(t_fun(X7,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X21))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),h4s_predu_u_sets_diff(s(t_fun(X7,t_bool),h4s_measures_space(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X21))),s(t_fun(X7,t_bool),X22))),s(t_fun(t_fun(X7,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X21)))))))&![X4]:(p(s(t_bool,h4s_bools_in(s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X4),s(t_fun(t_fun(t_h4s_nums_num,t_fun(X7,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(X7,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X21))))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X7,t_bool),t_bool),h4s_predu_u_sets_image(s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X4),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ))))),s(t_fun(t_fun(X7,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X21))))))))))),file('i/f/measure/MEASURE__SPACE__BIGUNION', ah4s_measures_SIGMAu_u_ALGEBRAu_u_FN)).
fof(37, conjecture,![X7]:![X22]:![X20]:((p(s(t_bool,h4s_measures_measureu_u_space(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X7,t_bool),t_bool),t_fun(t_fun(X7,t_bool),t_h4s_realaxs_real))),X20))))&![X23]:p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X22),s(t_h4s_nums_num,X23))),s(t_fun(t_fun(X7,t_bool),t_bool),h4s_measures_measurableu_u_sets(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X7,t_bool),t_bool),t_fun(t_fun(X7,t_bool),t_h4s_realaxs_real))),X20)))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X7,t_bool),t_bool),h4s_predu_u_sets_image(s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X22),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ))))),s(t_fun(t_fun(X7,t_bool),t_bool),h4s_measures_measurableu_u_sets(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X7,t_bool),t_bool),t_fun(t_fun(X7,t_bool),t_h4s_realaxs_real))),X20))))))),file('i/f/measure/MEASURE__SPACE__BIGUNION', ch4s_measures_MEASUREu_u_SPACEu_u_BIGUNION)).
# SZS output end CNFRefutation
