# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),h4s_pairs_u_2c(s(t_fun(X1,t_bool),h4s_measures_mu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))),s(t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real)),h4s_pairs_u_2c(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_measurableu_u_sets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))),s(t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real),h4s_measures_measure(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2)))))))=s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2),file('i/f/measure/MEASURE__SPACE__REDUCE', ch4s_measures_MEASUREu_u_SPACEu_u_REDUCE)).
fof(3, axiom,![X1]:![X3]:![X5]:?[X8]:?[X9]:s(t_h4s_pairs_prod(X1,X3),X5)=s(t_h4s_pairs_prod(X1,X3),h4s_pairs_u_2c(s(X1,X8),s(X3,X9))),file('i/f/measure/MEASURE__SPACE__REDUCE', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(4, axiom,![X1]:![X10]:![X11]:![X12]:s(t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real),h4s_measures_measure(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),h4s_pairs_u_2c(s(t_fun(X1,t_bool),X11),s(t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real)),h4s_pairs_u_2c(s(t_fun(t_fun(X1,t_bool),t_bool),X10),s(t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real),X12)))))))=s(t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real),X12),file('i/f/measure/MEASURE__SPACE__REDUCE', ah4s_measures_measureu_u_def)).
fof(5, axiom,![X1]:![X10]:![X11]:![X12]:s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_measurableu_u_sets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),h4s_pairs_u_2c(s(t_fun(X1,t_bool),X11),s(t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real)),h4s_pairs_u_2c(s(t_fun(t_fun(X1,t_bool),t_bool),X10),s(t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real),X12)))))))=s(t_fun(t_fun(X1,t_bool),t_bool),X10),file('i/f/measure/MEASURE__SPACE__REDUCE', ah4s_measures_measurableu_u_setsu_u_def)).
fof(6, axiom,![X1]:![X10]:![X11]:![X12]:s(t_fun(X1,t_bool),h4s_measures_mu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),h4s_pairs_u_2c(s(t_fun(X1,t_bool),X11),s(t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real)),h4s_pairs_u_2c(s(t_fun(t_fun(X1,t_bool),t_bool),X10),s(t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real),X12)))))))=s(t_fun(X1,t_bool),X11),file('i/f/measure/MEASURE__SPACE__REDUCE', ah4s_measures_mu_u_spaceu_u_def)).
# SZS output end CNFRefutation
