# 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__EQ__LEFT', ch4s_bags_BAGu_u_UNIONu_u_EQu_u_LEFT)).
fof(10, axiom,![X13]:![X14]:![X15]:![X16]:(![X6]:s(X14,happ(s(t_fun(X13,X14),X15),s(X13,X6)))=s(X14,happ(s(t_fun(X13,X14),X16),s(X13,X6)))=>s(t_fun(X13,X14),X15)=s(t_fun(X13,X14),X16)),file('i/f/bag/BAG__UNION__EQ__LEFT', aHLu_EXT)).
fof(12, axiom,![X1]:![X3]:![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),X3))),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),X3),s(X1,X6))))),file('i/f/bag/BAG__UNION__EQ__LEFT', ah4s_bags_BAGu_u_UNION0)).
fof(13, axiom,![X18]:![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))),file('i/f/bag/BAG__UNION__EQ__LEFT', ah4s_arithmetics_ADDu_u_SYM)).
fof(14, axiom,![X20]:![X18]:![X19]:(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X20)))<=>s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,X18)),file('i/f/bag/BAG__UNION__EQ__LEFT', ah4s_arithmetics_EQu_u_MONOu_u_ADDu_u_EQ)).
# SZS output end CNFRefutation
