# 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(3, axiom,![X5]:![X6]:![X7]:![X8]:(![X9]:s(X6,happ(s(t_fun(X5,X6),X7),s(X5,X9)))=s(X6,happ(s(t_fun(X5,X6),X8),s(X5,X9)))=>s(t_fun(X5,X6),X7)=s(t_fun(X5,X6),X8)),file('i/f/bag/BAG__UNION__LEFT__CANCEL', aHLu_EXT)).
fof(7, axiom,![X11]:![X1]:![X8]:![X7]:(s(t_fun(X1,X11),X7)=s(t_fun(X1,X11),X8)<=>![X9]:s(X11,happ(s(t_fun(X1,X11),X7),s(X1,X9)))=s(X11,happ(s(t_fun(X1,X11),X8),s(X1,X9)))),file('i/f/bag/BAG__UNION__LEFT__CANCEL', ah4s_bools_FUNu_u_EQu_u_THM)).
fof(8, axiom,![X12]:![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))),file('i/f/bag/BAG__UNION__LEFT__CANCEL', ah4s_arithmetics_ADDu_u_SYM)).
fof(9, axiom,![X14]:![X12]:![X13]:(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X14)))<=>s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,X12)),file('i/f/bag/BAG__UNION__LEFT__CANCEL', ah4s_arithmetics_EQu_u_MONOu_u_ADDu_u_EQ)).
fof(10, axiom,![X1]:![X15]:![X4]:![X9]: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,X9)))=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,X9))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X15),s(X1,X9))))),file('i/f/bag/BAG__UNION__LEFT__CANCEL', ah4s_bags_BAGu_u_UNION0)).
# SZS output end CNFRefutation
