# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/container/BAG__TO__LIST__EQ__NIL', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/container/BAG__TO__LIST__EQ__NIL', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/container/BAG__TO__LIST__EQ__NIL', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X8]:(p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X7,t_h4s_nums_num),X8))))=>?[X9]:((p(s(t_bool,X9))<=>s(t_fun(X7,t_h4s_nums_num),X8)=s(t_fun(X7,t_h4s_nums_num),h4s_bags_emptyu_u_bag))&s(t_h4s_lists_list(X7),happ(s(t_fun(t_fun(X7,t_h4s_nums_num),t_h4s_lists_list(X7)),h4s_containers_bagu_u_tou_u_list),s(t_fun(X7,t_h4s_nums_num),X8)))=s(t_h4s_lists_list(X7),h4s_bools_cond(s(t_bool,X9),s(t_h4s_lists_list(X7),h4s_lists_nil),s(t_h4s_lists_list(X7),h4s_lists_cons(s(X7,h4s_bags_bagu_u_choice(s(t_fun(X7,t_h4s_nums_num),X8))),s(t_h4s_lists_list(X7),happ(s(t_fun(t_fun(X7,t_h4s_nums_num),t_h4s_lists_list(X7)),h4s_containers_bagu_u_tou_u_list),s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_rest(s(t_fun(X7,t_h4s_nums_num),X8))))))))))),file('i/f/container/BAG__TO__LIST__EQ__NIL', ah4s_containers_BAGu_u_TOu_u_LISTu_u_THM)).
fof(8, axiom,![X7]:![X10]:(p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X7,t_h4s_nums_num),X10))))=>s(t_fun(X7,t_h4s_nums_num),h4s_containers_listu_u_tou_u_bag(s(t_h4s_lists_list(X7),happ(s(t_fun(t_fun(X7,t_h4s_nums_num),t_h4s_lists_list(X7)),h4s_containers_bagu_u_tou_u_list),s(t_fun(X7,t_h4s_nums_num),X10)))))=s(t_fun(X7,t_h4s_nums_num),X10)),file('i/f/container/BAG__TO__LIST__EQ__NIL', ah4s_containers_BAGu_u_TOu_u_LISTu_u_INV)).
fof(36, axiom,![X7]:![X22]:![X23]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X23),s(X7,X22)))=s(X7,X23),file('i/f/container/BAG__TO__LIST__EQ__NIL', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(78, axiom,![X7]:s(t_fun(X7,t_h4s_nums_num),h4s_containers_listu_u_tou_u_bag(s(t_h4s_lists_list(X7),h4s_lists_nil)))=s(t_fun(X7,t_h4s_nums_num),h4s_bags_emptyu_u_bag),file('i/f/container/BAG__TO__LIST__EQ__NIL', ah4s_containers_LISTu_u_TOu_u_BAGu_u_defu_c0)).
fof(100, axiom,![X7]:p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X7,t_h4s_nums_num),h4s_bags_emptyu_u_bag)))),file('i/f/container/BAG__TO__LIST__EQ__NIL', ah4s_bags_FINITEu_u_BAGu_u_THMu_c0)).
fof(133, conjecture,![X7]:![X10]:(p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X7,t_h4s_nums_num),X10))))=>((s(t_h4s_lists_list(X7),h4s_lists_nil)=s(t_h4s_lists_list(X7),happ(s(t_fun(t_fun(X7,t_h4s_nums_num),t_h4s_lists_list(X7)),h4s_containers_bagu_u_tou_u_list),s(t_fun(X7,t_h4s_nums_num),X10)))<=>s(t_fun(X7,t_h4s_nums_num),X10)=s(t_fun(X7,t_h4s_nums_num),h4s_bags_emptyu_u_bag))&(s(t_h4s_lists_list(X7),happ(s(t_fun(t_fun(X7,t_h4s_nums_num),t_h4s_lists_list(X7)),h4s_containers_bagu_u_tou_u_list),s(t_fun(X7,t_h4s_nums_num),X10)))=s(t_h4s_lists_list(X7),h4s_lists_nil)<=>s(t_fun(X7,t_h4s_nums_num),X10)=s(t_fun(X7,t_h4s_nums_num),h4s_bags_emptyu_u_bag)))),file('i/f/container/BAG__TO__LIST__EQ__NIL', ch4s_containers_BAGu_u_TOu_u_LISTu_u_EQu_u_NIL)).
# SZS output end CNFRefutation
