# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/DIFF__INTER2', aHLu_FALSITY)).
fof(5, axiom,![X7]:![X1]:![X8]:![X9]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X7,t_bool),X9),s(t_fun(X7,t_bool),X8))))=>s(t_fun(X7,t_bool),h4s_predu_u_sets_diff(s(t_fun(X7,t_bool),X9),s(t_fun(X7,t_bool),h4s_predu_u_sets_inter(s(t_fun(X7,t_bool),X8),s(t_fun(X7,t_bool),X1)))))=s(t_fun(X7,t_bool),h4s_predu_u_sets_diff(s(t_fun(X7,t_bool),X9),s(t_fun(X7,t_bool),X1)))),file('i/f/util_prob/DIFF__INTER2', ah4s_predu_u_sets_DIFFu_u_INTERu_u_SUBSET)).
fof(33, axiom,![X7]:![X1]:![X8]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X7,t_bool),X8),s(t_fun(X7,t_bool),X1))))<=>![X6]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X8))))=>p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X1)))))),file('i/f/util_prob/DIFF__INTER2', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(69, axiom,![X7]:![X1]:![X8]:s(t_fun(X7,t_bool),h4s_predu_u_sets_inter(s(t_fun(X7,t_bool),X8),s(t_fun(X7,t_bool),X1)))=s(t_fun(X7,t_bool),h4s_predu_u_sets_inter(s(t_fun(X7,t_bool),X1),s(t_fun(X7,t_bool),X8))),file('i/f/util_prob/DIFF__INTER2', ah4s_predu_u_sets_INTERu_u_COMM)).
fof(70, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/util_prob/DIFF__INTER2', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(133, conjecture,![X7]:![X1]:![X8]:s(t_fun(X7,t_bool),h4s_predu_u_sets_diff(s(t_fun(X7,t_bool),X8),s(t_fun(X7,t_bool),h4s_predu_u_sets_inter(s(t_fun(X7,t_bool),X1),s(t_fun(X7,t_bool),X8)))))=s(t_fun(X7,t_bool),h4s_predu_u_sets_diff(s(t_fun(X7,t_bool),X8),s(t_fun(X7,t_bool),X1))),file('i/f/util_prob/DIFF__INTER2', ch4s_utilu_u_probs_DIFFu_u_INTER2)).
# SZS output end CNFRefutation
