# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__EVERY__THM_c1', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__EVERY__THM_c1', 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/bag/BAG__EVERY__THM_c1', aHLu_BOOLu_CASES)).
fof(15, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/bag/BAG__EVERY__THM_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(34, axiom,![X9]:![X20]:![X21]:![X22]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X9,X21),s(t_fun(X9,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X9,X20),s(t_fun(X9,t_h4s_nums_num),X22))))))<=>(s(X9,X21)=s(X9,X20)|p(s(t_bool,h4s_bags_bagu_u_in(s(X9,X21),s(t_fun(X9,t_h4s_nums_num),X22)))))),file('i/f/bag/BAG__EVERY__THM_c1', ah4s_bags_BAGu_u_INu_u_BAGu_u_INSERT)).
fof(35, axiom,![X9]:![X6]:~(p(s(t_bool,h4s_bags_bagu_u_in(s(X9,X6),s(t_fun(X9,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))),file('i/f/bag/BAG__EVERY__THM_c1', ah4s_bags_NOTu_u_INu_u_EMPTYu_u_BAG)).
fof(36, axiom,![X9]:![X22]:![X23]:(p(s(t_bool,h4s_bags_bagu_u_every(s(t_fun(X9,t_bool),X23),s(t_fun(X9,t_h4s_nums_num),X22))))<=>![X24]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X9,X24),s(t_fun(X9,t_h4s_nums_num),X22))))=>p(s(t_bool,happ(s(t_fun(X9,t_bool),X23),s(X9,X24)))))),file('i/f/bag/BAG__EVERY__THM_c1', ah4s_bags_BAGu_u_EVERY0)).
fof(37, conjecture,![X25]:![X24]:![X22]:![X23]:(p(s(t_bool,h4s_bags_bagu_u_every(s(t_fun(X25,t_bool),X23),s(t_fun(X25,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X25,X24),s(t_fun(X25,t_h4s_nums_num),X22))))))<=>(p(s(t_bool,happ(s(t_fun(X25,t_bool),X23),s(X25,X24))))&p(s(t_bool,h4s_bags_bagu_u_every(s(t_fun(X25,t_bool),X23),s(t_fun(X25,t_h4s_nums_num),X22)))))),file('i/f/bag/BAG__EVERY__THM_c1', ch4s_bags_BAGu_u_EVERYu_u_THMu_c1)).
# SZS output end CNFRefutation
