# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/BIGUNION__EMPTY', ch4s_predu_u_sets_BIGUNIONu_u_EMPTY)).
fof(5, axiom,![X1]:![X6]:~(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/BIGUNION__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(17, axiom,![X1]:![X5]:(?[X6]:p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X5))))<=>~(s(t_fun(X1,t_bool),X5)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))),file('i/f/pred_set/BIGUNION__EMPTY', ah4s_predu_u_sets_MEMBERu_u_NOTu_u_EMPTY)).
fof(26, axiom,![X1]:![X6]:s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(X1,X6)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/BIGUNION__EMPTY', ah4s_predu_u_sets_EMPTYu_u_DELETE)).
fof(41, axiom,![X1]:![X6]:![X22]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),X22))))))<=>?[X5]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X5))))&p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X5),s(t_fun(t_fun(X1,t_bool),t_bool),X22)))))),file('i/f/pred_set/BIGUNION__EMPTY', ah4s_predu_u_sets_INu_u_BIGUNION)).
# SZS output end CNFRefutation
