# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_measures_sigmau_u_algebra(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_utilu_u_probs_countable(s(t_fun(t_fun(X1,t_bool),t_bool),X2))))&p(s(t_bool,h4s_predu_u_sets_subset(s(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)),X3))))))))=>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),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/SIGMA__ALGEBRA__COUNTABLE__UNION', ch4s_measures_SIGMAu_u_ALGEBRAu_u_COUNTABLEu_u_UNION)).
fof(30, axiom,![X1]:![X3]:(p(s(t_bool,h4s_measures_sigmau_u_algebra(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_algebra(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_utilu_u_probs_countable(s(t_fun(t_fun(X1,t_bool),t_bool),X2))))&p(s(t_bool,h4s_predu_u_sets_subset(s(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)),X3)))))))=>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),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/SIGMA__ALGEBRA__COUNTABLE__UNION', ah4s_measures_sigmau_u_algebrau_u_def)).
# SZS output end CNFRefutation
