# 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))))&p(s(t_bool,h4s_bags_subu_u_bag(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),X3)=s(t_fun(X1,t_h4s_nums_num),X2)),file('i/f/bag/SUB__BAG__ANTISYM', ch4s_bags_SUBu_u_BAGu_u_ANTISYM)).
fof(9, axiom,![X11]:![X12]:(s(t_bool,X12)=s(t_bool,X11)<=>((p(s(t_bool,X12))&p(s(t_bool,X11)))|(~(p(s(t_bool,X12)))&~(p(s(t_bool,X11)))))),file('i/f/bag/SUB__BAG__ANTISYM', ah4s_bools_EQu_u_EXPAND)).
fof(16, axiom,![X18]:![X19]:![X20]:![X21]:(![X5]:s(X19,happ(s(t_fun(X18,X19),X20),s(X18,X5)))=s(X19,happ(s(t_fun(X18,X19),X21),s(X18,X5)))=>s(t_fun(X18,X19),X20)=s(t_fun(X18,X19),X21)),file('i/f/bag/SUB__BAG__ANTISYM', aHLu_EXT)).
fof(18, 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))))<=>![X5]: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,X5))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X2),s(X1,X5))))))),file('i/f/bag/SUB__BAG__ANTISYM', ah4s_bags_SUBu_u_BAGu_u_LEQ)).
fof(20, axiom,![X23]:![X24]:(s(t_h4s_nums_num,X24)=s(t_h4s_nums_num,X23)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X23))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X24)))))),file('i/f/bag/SUB__BAG__ANTISYM', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
# SZS output end CNFRefutation
