# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_bags_bagu_u_every(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)))),file('i/f/bag/BAG__EVERY__THM_c0', ch4s_bags_BAGu_u_EVERYu_u_THMu_c0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__EVERY__THM_c0', aHLu_FALSITY)).
fof(38, axiom,![X3]:((p(s(t_bool,X3))=>p(s(t_bool,f)))<=>s(t_bool,X3)=s(t_bool,f)),file('i/f/bag/BAG__EVERY__THM_c0', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(50, axiom,![X1]:![X26]:![X2]:(p(s(t_bool,h4s_bags_bagu_u_every(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_h4s_nums_num),X26))))<=>![X27]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X27),s(t_fun(X1,t_h4s_nums_num),X26))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X27)))))),file('i/f/bag/BAG__EVERY__THM_c0', ah4s_bags_BAGu_u_EVERY0)).
fof(56, axiom,![X1]:![X4]: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,X4),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__EVERY__THM_c0', ah4s_bags_BAGu_u_RESTu_u_SING)).
fof(58, axiom,![X1]:![X4]:~(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X4),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))),file('i/f/bag/BAG__EVERY__THM_c0', ah4s_bags_NOTu_u_INu_u_EMPTYu_u_BAG)).
fof(72, axiom,![X1]:![X27]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_elu_u_bag(s(X1,X27)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X27),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))),file('i/f/bag/BAG__EVERY__THM_c0', ah4s_bags_ELu_u_BAG0)).
# SZS output end CNFRefutation
