# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(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)),X2))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),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)),X2))))))),file('i/f/measure/ALGEBRA__EMPTY', ch4s_measures_ALGEBRAu_u_EMPTY)).
fof(10, axiom,![X1]:![X2]:(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)),X2))))<=>(p(s(t_bool,h4s_measures_subsetu_u_class(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)),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)),X2))))))&(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),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)),X2))))))&(![X11]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X11),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)),X2))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(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)),X2))),s(t_fun(X1,t_bool),X11))),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)),X2)))))))&![X11]:![X3]:((p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X11),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)),X2))))))&p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X3),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)),X2)))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X11),s(t_fun(X1,t_bool),X3))),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)),X2))))))))))),file('i/f/measure/ALGEBRA__EMPTY', ah4s_measures_algebrau_u_def)).
# SZS output end CNFRefutation
