# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/bag/BAG__OF__EMPTY', ch4s_bags_BAGu_u_OFu_u_EMPTY)).
fof(5, axiom,![X3]:![X4]:![X5]:![X6]:(![X7]:s(X4,happ(s(t_fun(X3,X4),X5),s(X3,X7)))=s(X4,happ(s(t_fun(X3,X4),X6),s(X3,X7)))=>s(t_fun(X3,X4),X5)=s(t_fun(X3,X4),X6)),file('i/f/bag/BAG__OF__EMPTY', aHLu_EXT)).
fof(12, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/bag/BAG__OF__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(13, axiom,![X1]:![X7]:s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(X1,X7)))=s(t_bool,f),file('i/f/bag/BAG__OF__EMPTY', ah4s_predu_u_sets_EMPTYu_u_DEF)).
fof(14, axiom,![X1]:![X7]:~(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X7),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))),file('i/f/bag/BAG__OF__EMPTY', ah4s_bags_NOTu_u_INu_u_EMPTYu_u_BAG)).
fof(15, axiom,![X1]:![X11]:![X7]:s(t_bool,happ(s(t_fun(X1,t_bool),h4s_bags_setu_u_ofu_u_bag(s(t_fun(X1,t_h4s_nums_num),X11))),s(X1,X7)))=s(t_bool,h4s_bags_bagu_u_in(s(X1,X7),s(t_fun(X1,t_h4s_nums_num),X11))),file('i/f/bag/BAG__OF__EMPTY', ah4s_bags_SETu_u_OFu_u_BAG0)).
# SZS output end CNFRefutation
