# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/measure/ALGEBRA__INTER__SPACE', aHLu_TRUTH)).
fof(5, axiom,![X7]:![X8]:(p(s(t_bool,h4s_measures_algebra(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X8))))<=>(p(s(t_bool,h4s_measures_subsetu_u_class(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)),X8))),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)),X8))))))&(p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),h4s_predu_u_sets_empty),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)),X8))))))&(![X9]:(p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),X9),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)),X8))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),h4s_predu_u_sets_diff(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)),X8))),s(t_fun(X7,t_bool),X9))),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)),X8)))))))&![X9]:![X1]:((p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),X9),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)),X8))))))&p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),X1),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)),X8)))))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),h4s_predu_u_sets_union(s(t_fun(X7,t_bool),X9),s(t_fun(X7,t_bool),X1))),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)),X8))))))))))),file('i/f/measure/ALGEBRA__INTER__SPACE', ah4s_measures_algebrau_u_def)).
fof(7, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/measure/ALGEBRA__INTER__SPACE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(57, axiom,![X7]:![X33]:![X34]:(p(s(t_bool,h4s_measures_subsetu_u_class(s(t_fun(X7,t_bool),X34),s(t_fun(t_fun(X7,t_bool),t_bool),X33))))<=>![X6]:(p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),X6),s(t_fun(t_fun(X7,t_bool),t_bool),X33))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X7,t_bool),X6),s(t_fun(X7,t_bool),X34)))))),file('i/f/measure/ALGEBRA__INTER__SPACE', ah4s_measures_subsetu_u_classu_u_def)).
fof(80, axiom,![X7]:![X30]:![X31]:(s(t_fun(X7,t_bool),h4s_predu_u_sets_inter(s(t_fun(X7,t_bool),X31),s(t_fun(X7,t_bool),X30)))=s(t_fun(X7,t_bool),X30)<=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X7,t_bool),X30),s(t_fun(X7,t_bool),X31))))),file('i/f/measure/ALGEBRA__INTER__SPACE', ah4s_predu_u_sets_INTERu_u_SUBSETu_u_EQNu_c1)).
fof(81, axiom,![X7]:![X30]:![X31]:(s(t_fun(X7,t_bool),h4s_predu_u_sets_inter(s(t_fun(X7,t_bool),X31),s(t_fun(X7,t_bool),X30)))=s(t_fun(X7,t_bool),X31)<=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X7,t_bool),X31),s(t_fun(X7,t_bool),X30))))),file('i/f/measure/ALGEBRA__INTER__SPACE', ah4s_predu_u_sets_INTERu_u_SUBSETu_u_EQNu_c0)).
fof(94, axiom,![X7]:![X6]:![X43]:s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X43)))=s(t_bool,happ(s(t_fun(X7,t_bool),X43),s(X7,X6))),file('i/f/measure/ALGEBRA__INTER__SPACE', ah4s_bools_INu_u_DEF)).
fof(133, conjecture,![X7]:![X9]:![X8]:((p(s(t_bool,h4s_measures_algebra(s(t_h4s_pairs_prod(t_fun(X7,t_bool),t_fun(t_fun(X7,t_bool),t_bool)),X8))))&p(s(t_bool,h4s_bools_in(s(t_fun(X7,t_bool),X9),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)),X8)))))))=>(s(t_fun(X7,t_bool),h4s_predu_u_sets_inter(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)),X8))),s(t_fun(X7,t_bool),X9)))=s(t_fun(X7,t_bool),X9)&s(t_fun(X7,t_bool),h4s_predu_u_sets_inter(s(t_fun(X7,t_bool),X9),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)),X8)))))=s(t_fun(X7,t_bool),X9))),file('i/f/measure/ALGEBRA__INTER__SPACE', ch4s_measures_ALGEBRAu_u_INTERu_u_SPACE)).
# SZS output end CNFRefutation
