# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]: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)),h4s_pairs_u_2c(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_univ)))))),file('i/f/measure/UNIV__SIGMA__ALGEBRA', ch4s_measures_UNIVu_u_SIGMAu_u_ALGEBRA)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/measure/UNIV__SIGMA__ALGEBRA', aHLu_TRUTH)).
fof(6, axiom,![X2]:(s(t_bool,t)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/measure/UNIV__SIGMA__ALGEBRA', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(10, axiom,![X1]:![X3]:p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/measure/UNIV__SIGMA__ALGEBRA', ah4s_predu_u_sets_INu_u_UNIV)).
fof(12, axiom,![X1]:![X10]: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)),h4s_pairs_u_2c(s(t_fun(X1,t_bool),X10),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X10)))))))),file('i/f/measure/UNIV__SIGMA__ALGEBRA', ah4s_measures_POWu_u_SIGMAu_u_ALGEBRA)).
fof(13, axiom,![X1]:![X11]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X11),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/measure/UNIV__SIGMA__ALGEBRA', ah4s_predu_u_sets_SUBSETu_u_UNIV)).
fof(14, axiom,![X1]:![X2]:![X11]:(s(t_fun(X1,t_bool),X11)=s(t_fun(X1,t_bool),X2)<=>![X3]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X11)))=s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2)))),file('i/f/measure/UNIV__SIGMA__ALGEBRA', ah4s_predu_u_sets_EXTENSION)).
fof(15, axiom,![X1]:![X12]:![X13]:s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X13),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X12)))))=s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X13),s(t_fun(X1,t_bool),X12))),file('i/f/measure/UNIV__SIGMA__ALGEBRA', ah4s_predu_u_sets_INu_u_POW)).
fof(16, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/measure/UNIV__SIGMA__ALGEBRA', aHLu_BOOLu_CASES)).
fof(17, axiom,~(p(s(t_bool,f))),file('i/f/measure/UNIV__SIGMA__ALGEBRA', aHLu_FALSITY)).
# SZS output end CNFRefutation
