# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:~(p(s(t_bool,h4s_bags_mlt1(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))),file('i/f/bag/BAG__NOT__LESS__EMPTY', ch4s_bags_BAGu_u_NOTu_u_LESSu_u_EMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__NOT__LESS__EMPTY', aHLu_TRUTH)).
fof(12, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/bag/BAG__NOT__LESS__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(15, axiom,![X1]:![X2]:![X9]:![X10]:(p(s(t_bool,h4s_bags_mlt1(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(t_fun(X1,t_h4s_nums_num),X10),s(t_fun(X1,t_h4s_nums_num),X9))))<=>(p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X1,t_h4s_nums_num),X10))))&(p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X1,t_h4s_nums_num),X9))))&?[X11]:?[X12]:?[X13]:(s(t_fun(X1,t_h4s_nums_num),X10)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X12),s(t_fun(X1,t_h4s_nums_num),X13)))&(s(t_fun(X1,t_h4s_nums_num),X9)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X13),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X11),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)))))&![X14]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X14),s(t_fun(X1,t_h4s_nums_num),X12))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X14))),s(X1,X11)))))))))),file('i/f/bag/BAG__NOT__LESS__EMPTY', ah4s_bags_mlt1u_u_def)).
fof(16, axiom,![X1]:![X7]:![X3]:~(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X7),s(t_fun(X1,t_h4s_nums_num),X3)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)),file('i/f/bag/BAG__NOT__LESS__EMPTY', ah4s_bags_BAGu_u_INSERTu_u_NOTu_u_EMPTY)).
fof(17, axiom,![X15]:![X9]:![X10]:(s(t_fun(X15,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X15,t_h4s_nums_num),X10),s(t_fun(X15,t_h4s_nums_num),X9)))=s(t_fun(X15,t_h4s_nums_num),h4s_bags_emptyu_u_bag)<=>(s(t_fun(X15,t_h4s_nums_num),X10)=s(t_fun(X15,t_h4s_nums_num),h4s_bags_emptyu_u_bag)&s(t_fun(X15,t_h4s_nums_num),X9)=s(t_fun(X15,t_h4s_nums_num),h4s_bags_emptyu_u_bag))),file('i/f/bag/BAG__NOT__LESS__EMPTY', ah4s_bags_BAGu_u_UNIONu_u_EMPTYu_c2)).
# SZS output end CNFRefutation
