# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2))))=>![X4]:p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X2))))))),file('i/f/bag/SUB__BAG__UNION_c1', ch4s_bags_SUBu_u_BAGu_u_UNIONu_c1)).
fof(9, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2))))<=>![X6]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X3),s(X1,X6))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X2),s(X1,X6))))))),file('i/f/bag/SUB__BAG__UNION_c1', ah4s_bags_SUBu_u_BAGu_u_LEQ)).
fof(10, axiom,![X1]:![X15]:![X4]:![X6]:s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X15))),s(X1,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X4),s(X1,X6))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X15),s(X1,X6))))),file('i/f/bag/SUB__BAG__UNION_c1', ah4s_bags_BAGu_u_UNION0)).
fof(12, axiom,![X20]:![X21]:![X22]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X20)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X20))))),file('i/f/bag/SUB__BAG__UNION_c1', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(13, axiom,![X21]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X21)))),file('i/f/bag/SUB__BAG__UNION_c1', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(14, axiom,![X20]:![X21]:![X22]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X20)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X20))),file('i/f/bag/SUB__BAG__UNION_c1', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(16, axiom,![X21]:![X22]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X22))),file('i/f/bag/SUB__BAG__UNION_c1', ah4s_arithmetics_ADDu_u_SYM)).
fof(18, axiom,![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X21),file('i/f/bag/SUB__BAG__UNION_c1', ah4s_numerals_numeralu_u_distribu_c1)).
# SZS output end CNFRefutation
