# 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_fun(t_fun(X1,t_bool),t_bool)),h4s_pairs_u_2c(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)))))=s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),X2),file('i/f/measure/SPACE', ch4s_measures_SPACE)).
fof(7, axiom,![X1]:![X5]:![X4]:?[X8]:?[X9]:s(t_h4s_pairs_prod(X1,X5),X4)=s(t_h4s_pairs_prod(X1,X5),h4s_pairs_u_2c(s(X1,X8),s(X5,X9))),file('i/f/measure/SPACE', ah4s_pairs_pairu_u_CASES)).
fof(8, axiom,![X1]:![X6]:![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),X6)))))=s(t_fun(X1,t_bool),X4),file('i/f/measure/SPACE', ah4s_measures_spaceu_u_def)).
fof(9, axiom,![X1]:![X6]:![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),X6)))))=s(t_fun(t_fun(X1,t_bool),t_bool),X6),file('i/f/measure/SPACE', ah4s_measures_subsetsu_u_def)).
# SZS output end CNFRefutation
