# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/measure/MEASURABLE__UP__LIFT', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/measure/MEASURABLE__UP__LIFT', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f0)),file('i/f/measure/MEASURABLE__UP__LIFT', aHLu_BOOLu_CASES)).
fof(10, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/measure/MEASURABLE__UP__LIFT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X7]:![X1]:![X14]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X7,t_bool),X14),s(t_fun(X7,t_bool),X1))))<=>![X6]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X14))))=>p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X1)))))),file('i/f/measure/MEASURABLE__UP__LIFT', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(15, axiom,![X7]:![X8]:![X6]: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)),h4s_pairs_u_2c(s(t_fun(X7,t_bool),X6),s(t_fun(t_fun(X7,t_bool),t_bool),X8)))))=s(t_fun(X7,t_bool),X6),file('i/f/measure/MEASURABLE__UP__LIFT', ah4s_measures_spaceu_u_def)).
fof(16, axiom,![X7]:![X8]:![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),X8)))))=s(t_fun(t_fun(X7,t_bool),t_bool),X8),file('i/f/measure/MEASURABLE__UP__LIFT', ah4s_measures_subsetsu_u_def)).
fof(17, axiom,![X15]:![X7]:![X4]:![X18]:![X19]:(p(s(t_bool,h4s_bools_in(s(t_fun(X7,X15),X4),s(t_fun(t_fun(X7,X15),t_bool),h4s_measures_measurable(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X19),s(t_h4s_pairs_prod(t_fun(X15,t_bool),t_fun(t_fun(X15,t_bool),t_bool)),X18))))))<=>(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)),X19))))&(p(s(t_bool,h4s_measures_sigmau_u_algebra(s(t_h4s_pairs_prod(t_fun(X15,t_bool),t_fun(t_fun(X15,t_bool),t_bool)),X18))))&(p(s(t_bool,h4s_bools_in(s(t_fun(X7,X15),X4),s(t_fun(t_fun(X7,X15),t_bool),h4s_utilu_u_probs_funset(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)),X19))),s(t_fun(X15,t_bool),h4s_measures_space(s(t_h4s_pairs_prod(t_fun(X15,t_bool),t_fun(t_fun(X15,t_bool),t_bool)),X18))))))))&![X14]:(p(s(t_bool,h4s_bools_in(s(t_fun(X15,t_bool),X14),s(t_fun(t_fun(X15,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X15,t_bool),t_fun(t_fun(X15,t_bool),t_bool)),X18))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),h4s_predu_u_sets_inter(s(t_fun(X7,t_bool),h4s_utilu_u_probs_preimage(s(t_fun(X7,X15),X4),s(t_fun(X15,t_bool),X14))),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)),X19))))),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)),X19))))))))))),file('i/f/measure/MEASURABLE__UP__LIFT', ah4s_measures_INu_u_MEASURABLE)).
fof(18, conjecture,![X7]:![X15]:![X20]:![X4]:![X21]:![X18]:![X19]:((p(s(t_bool,h4s_bools_in(s(t_fun(X7,X15),X4),s(t_fun(t_fun(X7,X15),t_bool),h4s_measures_measurable(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),X20),s(t_fun(t_fun(X7,t_bool),t_bool),X19))),s(t_h4s_pairs_prod(t_fun(X15,t_bool),t_fun(t_fun(X15,t_bool),t_bool)),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)),h4s_pairs_u_2c(s(t_fun(X7,t_bool),X20),s(t_fun(t_fun(X7,t_bool),t_bool),X18))))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(t_fun(X7,t_bool),t_bool),X19),s(t_fun(t_fun(X7,t_bool),t_bool),X18))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X7,X15),X4),s(t_fun(t_fun(X7,X15),t_bool),h4s_measures_measurable(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),X20),s(t_fun(t_fun(X7,t_bool),t_bool),X18))),s(t_h4s_pairs_prod(t_fun(X15,t_bool),t_fun(t_fun(X15,t_bool),t_bool)),X21))))))),file('i/f/measure/MEASURABLE__UP__LIFT', ch4s_measures_MEASURABLEu_u_UPu_u_LIFT)).
# SZS output end CNFRefutation
