# 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,![X3]:![X4]:s(t_fun(X3,t_h4s_nums_num),h4s_bags_bagu_u_diff(s(t_fun(X3,t_h4s_nums_num),h4s_bags_emptyu_u_bag),s(t_fun(X3,t_h4s_nums_num),X4)))=s(t_fun(X3,t_h4s_nums_num),h4s_bags_emptyu_u_bag),file('i/f/bag/BAG__REST__SING', ah4s_bags_BAGu_u_DIFFu_u_EMPTYu_u_simpleu_c2)).
fof(6, axiom,![X1]:![X2]:![X5]:![X6]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_diff(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X6))),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_bagu_u_diff(s(t_fun(X1,t_h4s_nums_num),X6),s(t_fun(X1,t_h4s_nums_num),X5))),file('i/f/bag/BAG__REST__SING', ah4s_bags_BAGu_u_DIFFu_u_INSERTu_u_same)).
fof(7, 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(8, 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(9, axiom,![X1]:![X4]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_rest(s(t_fun(X1,t_h4s_nums_num),X4)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_diff(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),h4s_bags_elu_u_bag(s(X1,h4s_bags_bagu_u_choice(s(t_fun(X1,t_h4s_nums_num),X4))))))),file('i/f/bag/BAG__REST__SING', ah4s_bags_BAGu_u_RESTu_u_DEF)).
# SZS output end CNFRefutation
