# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]: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),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2)))))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(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),X3))),s(t_fun(X1,t_h4s_nums_num),X2))),file('i/f/bag/ASSOC__BAG__UNION', ch4s_bags_ASSOCu_u_BAGu_u_UNION)).
fof(3, axiom,![X1]:![X7]:![X8]:![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),X8),s(t_fun(X1,t_h4s_nums_num),X7))),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),X8),s(X1,X6))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X7),s(X1,X6))))),file('i/f/bag/ASSOC__BAG__UNION', ah4s_bags_BAGu_u_UNION0)).
fof(4, axiom,![X9]:![X10]:![X11]:![X12]:(![X6]:s(X10,happ(s(t_fun(X9,X10),X11),s(X9,X6)))=s(X10,happ(s(t_fun(X9,X10),X12),s(X9,X6)))=>s(t_fun(X9,X10),X11)=s(t_fun(X9,X10),X12)),file('i/f/bag/ASSOC__BAG__UNION', aHLu_EXT)).
fof(6, axiom,![X14]:![X15]:![X16]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X14))),file('i/f/bag/ASSOC__BAG__UNION', ah4s_arithmetics_ADDu_u_ASSOC)).
# SZS output end CNFRefutation
