# 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),h4s_predu_u_sets_univ)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/DIFF__UNIV', ch4s_predu_u_sets_DIFFu_u_UNIV)).
fof(40, axiom,![X1]:![X2]:(?[X7]:p(s(t_bool,h4s_bools_in(s(X1,X7),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__UNIV', ah4s_predu_u_sets_MEMBERu_u_NOTu_u_EMPTY)).
fof(47, axiom,![X1]:![X7]:![X22]:s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X22)))=s(t_bool,happ(s(t_fun(X1,t_bool),X22),s(X1,X7))),file('i/f/pred_set/DIFF__UNIV', ah4s_bools_INu_u_DEF)).
fof(49, axiom,![X1]:![X7]:![X8]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X8))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X2))))&~(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X8))))))),file('i/f/pred_set/DIFF__UNIV', ah4s_predu_u_sets_INu_u_DIFF)).
fof(53, axiom,![X1]:![X7]:s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(X1,X7)))=s(t_bool,t),file('i/f/pred_set/DIFF__UNIV', ah4s_predu_u_sets_UNIVu_u_DEF)).
fof(59, axiom,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),file('i/f/pred_set/DIFF__UNIV', ah4s_predu_u_sets_UNIONu_u_UNIVu_c1)).
fof(65, axiom,p(s(t_bool,t)),file('i/f/pred_set/DIFF__UNIV', aHLu_TRUTH)).
# SZS output end CNFRefutation
