# 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),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)))<=>s(t_fun(X1,t_h4s_nums_num),X3)=s(t_fun(X1,t_h4s_nums_num),X2)),file('i/f/bag/BAG__UNION__LEFT__CANCEL', ch4s_bags_BAGu_u_UNIONu_u_LEFTu_u_CANCEL)).
fof(4, axiom,![X1]:![X7]:![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),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),X4),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/BAG__UNION__LEFT__CANCEL', ah4s_bags_BAGu_u_UNION0)).
fof(6, axiom,![X8]:![X9]:![X10]:(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8)))<=>s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,X9)),file('i/f/bag/BAG__UNION__LEFT__CANCEL', ah4s_arithmetics_EQu_u_MONOu_u_ADDu_u_EQ)).
fof(7, axiom,![X9]:![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X10))),file('i/f/bag/BAG__UNION__LEFT__CANCEL', ah4s_arithmetics_ADDu_u_SYM)).
fof(10, axiom,![X11]:![X12]:![X13]:![X14]:(![X6]:s(X12,happ(s(t_fun(X11,X12),X13),s(X11,X6)))=s(X12,happ(s(t_fun(X11,X12),X14),s(X11,X6)))=>s(t_fun(X11,X12),X13)=s(t_fun(X11,X12),X14)),file('i/f/bag/BAG__UNION__LEFT__CANCEL', aHLu_EXT)).
# SZS output end CNFRefutation
