# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((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)),X5))))&(p(s(t_bool,h4s_measures_sigmau_u_algebra(s(t_h4s_pairs_prod(t_fun(X2,t_bool),t_fun(t_fun(X2,t_bool),t_bool)),X4))))&(p(s(t_bool,h4s_bools_in(s(t_fun(X1,X2),X3),s(t_fun(t_fun(X1,X2),t_bool),h4s_utilu_u_probs_funset(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)),X5))),s(t_fun(X2,t_bool),h4s_measures_space(s(t_h4s_pairs_prod(t_fun(X2,t_bool),t_fun(t_fun(X2,t_bool),t_bool)),X4))))))))&![X6]:(p(s(t_bool,h4s_bools_in(s(t_fun(X2,t_bool),X6),s(t_fun(t_fun(X2,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X2,t_bool),t_fun(t_fun(X2,t_bool),t_bool)),X4))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X1,t_bool)),h4s_utilu_u_probs_preimage(s(t_fun(X1,X2),X3))),s(t_fun(X2,t_bool),X6))),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)),X5))))))))))=>![X7]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(t_fun(X2,t_bool),t_bool),X7),s(t_fun(t_fun(X2,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X2,t_bool),t_fun(t_fun(X2,t_bool),t_bool)),X4))))))=>s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X1,t_bool)),h4s_utilu_u_probs_preimage(s(t_fun(X1,X2),X3))),s(t_fun(X2,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X2,t_bool),t_bool),X7)))))=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_fun(X2,t_bool),t_fun(X1,t_bool)),h4s_utilu_u_probs_preimage(s(t_fun(X1,X2),X3))),s(t_fun(t_fun(X2,t_bool),t_bool),X7))))))),file('i/f/measure/MEASURABLE__BIGUNION__PROPERTY', ch4s_measures_MEASURABLEu_u_BIGUNIONu_u_PROPERTY)).
fof(11, axiom,![X1]:![X2]:![X6]:![X3]:s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X2,t_bool),t_fun(X1,t_bool)),h4s_utilu_u_probs_preimage(s(t_fun(X1,X2),X3))),s(t_fun(X2,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X2,t_bool),t_bool),X6)))))=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_fun(X2,t_bool),t_fun(X1,t_bool)),h4s_utilu_u_probs_preimage(s(t_fun(X1,X2),X3))),s(t_fun(t_fun(X2,t_bool),t_bool),X6))))),file('i/f/measure/MEASURABLE__BIGUNION__PROPERTY', ah4s_utilu_u_probs_PREIMAGEu_u_BIGUNION)).
# SZS output end CNFRefutation
