# 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(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/BIGUNION__EMPTY', aHLu_FALSITY)).
fof(12, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/pred_set/BIGUNION__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(13, axiom,![X1]:![X5]:~(p(s(t_bool,h4s_bools_in(s(X1,X5),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(15, axiom,![X1]:![X2]:![X10]:(s(t_fun(X1,t_bool),X10)=s(t_fun(X1,t_bool),X2)<=>![X5]:s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X10)))=s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/BIGUNION__EMPTY', ah4s_predu_u_sets_EXTENSION)).
fof(16, axiom,![X1]:![X5]:![X11]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),X11))))))<=>?[X10]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X10))))&p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X10),s(t_fun(t_fun(X1,t_bool),t_bool),X11)))))),file('i/f/pred_set/BIGUNION__EMPTY', ah4s_predu_u_sets_INu_u_BIGUNION)).
# SZS output end CNFRefutation
