# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(?[X3]:p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X3),s(t_fun(X1,t_h4s_nums_num),X2))))<=>~(s(t_fun(X1,t_h4s_nums_num),X2)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))),file('i/f/bag/MEMBER__NOT__EMPTY', ch4s_bags_MEMBERu_u_NOTu_u_EMPTY)).
fof(17, axiom,![X1]:![X2]:(s(t_fun(X1,t_h4s_nums_num),X2)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)|?[X13]:?[X14]:s(t_fun(X1,t_h4s_nums_num),X2)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X14),s(t_fun(X1,t_h4s_nums_num),X13)))),file('i/f/bag/MEMBER__NOT__EMPTY', ah4s_bags_BAGu_u_cases)).
fof(18, axiom,![X1]:![X3]:~(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X3),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))),file('i/f/bag/MEMBER__NOT__EMPTY', ah4s_bags_NOTu_u_INu_u_EMPTYu_u_BAG)).
fof(19, axiom,![X1]:![X15]:![X16]:![X2]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X16),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X15),s(t_fun(X1,t_h4s_nums_num),X2))))))<=>(s(X1,X16)=s(X1,X15)|p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X16),s(t_fun(X1,t_h4s_nums_num),X2)))))),file('i/f/bag/MEMBER__NOT__EMPTY', ah4s_bags_BAGu_u_INu_u_BAGu_u_INSERT)).
# SZS output end CNFRefutation
