# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/DIFF__EQ__EMPTY', ch4s_predu_u_sets_DIFFu_u_EQu_u_EMPTY)).
fof(28, axiom,![X1]:![X2]:(?[X6]:p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X2))))<=>~(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))),file('i/f/pred_set/DIFF__EQ__EMPTY', ah4s_predu_u_sets_MEMBERu_u_NOTu_u_EMPTY)).
fof(30, axiom,![X1]:![X6]:![X5]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X5))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X2))))&~(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X5))))))),file('i/f/pred_set/DIFF__EQ__EMPTY', ah4s_predu_u_sets_INu_u_DIFF)).
fof(36, axiom,![X1]:![X6]:![X18]:s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X18)))=s(t_bool,happ(s(t_fun(X1,t_bool),X18),s(X1,X6))),file('i/f/pred_set/DIFF__EQ__EMPTY', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
