# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(X1,h4s_bags_bagu_u_choice(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)))))=s(X1,X2),file('i/f/bag/BAG__CHOICE__SING', ch4s_bags_BAGu_u_CHOICEu_u_SING)).
fof(5, axiom,![X1]:![X5]:(~(s(t_fun(X1,t_h4s_nums_num),X5)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))=>p(s(t_bool,h4s_bags_bagu_u_in(s(X1,h4s_bags_bagu_u_choice(s(t_fun(X1,t_h4s_nums_num),X5))),s(t_fun(X1,t_h4s_nums_num),X5))))),file('i/f/bag/BAG__CHOICE__SING', ah4s_bags_BAGu_u_CHOICEu_u_DEF)).
fof(6, axiom,![X1]:![X2]:![X5]:~(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X5)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)),file('i/f/bag/BAG__CHOICE__SING', ah4s_bags_BAGu_u_INSERTu_u_NOTu_u_EMPTY)).
fof(34, axiom,![X1]:![X2]:~(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))),file('i/f/bag/BAG__CHOICE__SING', ah4s_bags_NOTu_u_INu_u_EMPTYu_u_BAG)).
fof(35, axiom,![X1]:![X23]:![X24]:![X5]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X24),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X23),s(t_fun(X1,t_h4s_nums_num),X5))))))<=>(s(X1,X24)=s(X1,X23)|p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X24),s(t_fun(X1,t_h4s_nums_num),X5)))))),file('i/f/bag/BAG__CHOICE__SING', ah4s_bags_BAGu_u_INu_u_BAGu_u_INSERT)).
# SZS output end CNFRefutation
