# 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)),h4s_pairs_u_2c(s(t_fun(X1,t_bool),X2),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X2)))))))),file('i/f/measure/POW__ALGEBRA', ch4s_measures_POWu_u_ALGEBRA)).
fof(6, axiom,![X1]:![X11]:(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)),X11))))<=>(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)),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)),X11))))))&(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)),X11))))))&(![X12]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X12),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)),X11))))))=>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)),X11))),s(t_fun(X1,t_bool),X12))),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)),X11)))))))&![X12]:![X3]:((p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X12),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)),X11))))))&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)),X11)))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X12),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)),X11))))))))))),file('i/f/measure/POW__ALGEBRA', ah4s_measures_algebrau_u_def)).
fof(7, axiom,![X1]:![X9]:![X4]: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)),h4s_pairs_u_2c(s(t_fun(X1,t_bool),X4),s(t_fun(t_fun(X1,t_bool),t_bool),X9)))))=s(t_fun(X1,t_bool),X4),file('i/f/measure/POW__ALGEBRA', ah4s_measures_spaceu_u_def)).
fof(8, axiom,![X1]:![X9]:![X4]: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)),h4s_pairs_u_2c(s(t_fun(X1,t_bool),X4),s(t_fun(t_fun(X1,t_bool),t_bool),X9)))))=s(t_fun(t_fun(X1,t_bool),t_bool),X9),file('i/f/measure/POW__ALGEBRA', ah4s_measures_subsetsu_u_def)).
fof(9, axiom,![X1]:![X13]:![X14]:s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X14),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X13)))))=s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X14),s(t_fun(X1,t_bool),X13))),file('i/f/measure/POW__ALGEBRA', ah4s_predu_u_sets_INu_u_POW)).
fof(10, axiom,![X1]:![X15]:![X2]:(p(s(t_bool,h4s_measures_subsetu_u_class(s(t_fun(X1,t_bool),X2),s(t_fun(t_fun(X1,t_bool),t_bool),X15))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X4),s(t_fun(t_fun(X1,t_bool),t_bool),X15))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2)))))),file('i/f/measure/POW__ALGEBRA', ah4s_measures_subsetu_u_classu_u_def)).
fof(11, axiom,![X1]:![X16]:![X3]:![X12]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X12),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X16))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X12),s(t_fun(X1,t_bool),X16))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X16)))))),file('i/f/measure/POW__ALGEBRA', ah4s_predu_u_sets_UNIONu_u_SUBSET)).
fof(12, axiom,![X1]:![X3]:![X12]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X12),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X12)))),file('i/f/measure/POW__ALGEBRA', ah4s_predu_u_sets_DIFFu_u_SUBSET)).
fof(13, axiom,![X1]:![X12]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X1,t_bool),X12)))),file('i/f/measure/POW__ALGEBRA', ah4s_predu_u_sets_EMPTYu_u_SUBSET)).
# SZS output end CNFRefutation
