# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),X3))))))<=>~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/IN__COMPL', ch4s_predu_u_sets_INu_u_COMPL)).
fof(4, axiom,![X5]:![X6]:![X7]:((p(s(t_bool,X7))<=>s(t_bool,X6)=s(t_bool,X5))<=>((p(s(t_bool,X7))|(p(s(t_bool,X6))|p(s(t_bool,X5))))&((p(s(t_bool,X7))|(~(p(s(t_bool,X5)))|~(p(s(t_bool,X6)))))&((p(s(t_bool,X6))|(~(p(s(t_bool,X5)))|~(p(s(t_bool,X7)))))&(p(s(t_bool,X5))|(~(p(s(t_bool,X6)))|~(p(s(t_bool,X7))))))))),file('i/f/pred_set/IN__COMPL', ah4s_sats_dcu_u_eq)).
fof(6, axiom,![X1]:![X2]:p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/pred_set/IN__COMPL', ah4s_predu_u_sets_INu_u_UNIV)).
fof(7, axiom,![X1]:![X2]:![X4]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X4))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3))))&~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4))))))),file('i/f/pred_set/IN__COMPL', ah4s_predu_u_sets_INu_u_DIFF)).
fof(8, axiom,![X1]:![X8]:s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),X8)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(t_fun(X1,t_bool),X8))),file('i/f/pred_set/IN__COMPL', ah4s_predu_u_sets_COMPLu_u_DEF)).
# SZS output end CNFRefutation
