# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_rest(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(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag),file('i/f/bag/BAG__REST__SING', ch4s_bags_BAGu_u_RESTu_u_SING)).
fof(5, 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__REST__SING', ah4s_bags_BAGu_u_INSERTu_u_NOTu_u_EMPTY)).
fof(6, 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)|?[X6]:?[X7]:s(t_fun(X1,t_h4s_nums_num),X5)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X7),s(t_fun(X1,t_h4s_nums_num),X6)))),file('i/f/bag/BAG__REST__SING', ah4s_bags_BAGu_u_cases)).
fof(7, 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))=>s(t_fun(X1,t_h4s_nums_num),X5)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,h4s_bags_bagu_u_choice(s(t_fun(X1,t_h4s_nums_num),X5))),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_rest(s(t_fun(X1,t_h4s_nums_num),X5)))))),file('i/f/bag/BAG__REST__SING', ah4s_bags_BAGu_u_INSERTu_u_CHOICEu_u_REST)).
fof(10, axiom,![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__REST__SING', ah4s_bags_BAGu_u_CHOICEu_u_SING)).
fof(13, axiom,![X1]:![X7]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_elu_u_bag(s(X1,X7)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X7),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))),file('i/f/bag/BAG__REST__SING', ah4s_bags_ELu_u_BAG0)).
fof(14, axiom,![X1]:![X3]:![X2]:![X5]:(s(t_fun(X1,t_h4s_nums_num),h4s_bags_elu_u_bag(s(X1,X2)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X3),s(t_fun(X1,t_h4s_nums_num),X5)))=>(s(X1,X2)=s(X1,X3)&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__REST__SING', ah4s_bags_ELu_u_BAGu_u_INSERTu_u_squeeze)).
# SZS output end CNFRefutation
