# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X3),s(t_h4s_nums_num,X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/bag/BAG__INN__EMPTY__BAG', ch4s_bags_BAGu_u_INNu_u_EMPTYu_u_BAG)).
fof(5, axiom,![X1]:![X5]:s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag),s(X1,X5)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/bag/BAG__INN__EMPTY__BAG', ah4s_bags_EMPTYu_u_BAGu_u_alt)).
fof(8, axiom,![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2)))),file('i/f/bag/BAG__INN__EMPTY__BAG', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(37, axiom,![X1]:![X2]:![X3]:![X20]:s(t_bool,h4s_bags_bagu_u_inn(s(X1,X3),s(t_h4s_nums_num,X2),s(t_fun(X1,t_h4s_nums_num),X20)))=s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X20),s(X1,X3))),s(t_h4s_nums_num,X2))),file('i/f/bag/BAG__INN__EMPTY__BAG', ah4s_bags_BAGu_u_INN0)).
fof(53, axiom,![X2]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/bag/BAG__INN__EMPTY__BAG', ah4s_numerals_numeralu_u_distribu_c30)).
fof(56, axiom,![X2]:![X7]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X7)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X2))),file('i/f/bag/BAG__INN__EMPTY__BAG', ah4s_arithmetics_GREATERu_u_EQ)).
# SZS output end CNFRefutation
