# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:~(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X3)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/NOT__INSERT__EMPTY', ch4s_predu_u_sets_NOTu_u_INSERTu_u_EMPTY)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/NOT__INSERT__EMPTY', aHLu_FALSITY)).
fof(11, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/pred_set/NOT__INSERT__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(13, axiom,![X1]:![X2]:~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/NOT__INSERT__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(15, axiom,![X1]:![X11]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X11),s(t_fun(X1,t_bool),X3))))))<=>(s(X1,X2)=s(X1,X11)|p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/NOT__INSERT__EMPTY', ah4s_predu_u_sets_INu_u_INSERT)).
# SZS output end CNFRefutation
