# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_fun(X1,t_h4s_nums_num),X3)=s(t_fun(X1,t_h4s_nums_num),X2)<=>![X4]:![X5]:s(t_bool,h4s_bags_bagu_u_inn(s(X1,X5),s(t_h4s_nums_num,X4),s(t_fun(X1,t_h4s_nums_num),X3)))=s(t_bool,h4s_bags_bagu_u_inn(s(X1,X5),s(t_h4s_nums_num,X4),s(t_fun(X1,t_h4s_nums_num),X2)))),file('i/f/bag/BAG__EXTENSION', ch4s_bags_BAGu_u_EXTENSION)).
fof(3, axiom,![X1]:![X4]:![X5]:![X8]:s(t_bool,h4s_bags_bagu_u_inn(s(X1,X5),s(t_h4s_nums_num,X4),s(t_fun(X1,t_h4s_nums_num),X8)))=s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X8),s(X1,X5))),s(t_h4s_nums_num,X4))),file('i/f/bag/BAG__EXTENSION', ah4s_bags_BAGu_u_INN0)).
fof(25, axiom,![X4]:![X21]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X21)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X4))),file('i/f/bag/BAG__EXTENSION', ah4s_arithmetics_GREATERu_u_EQ)).
fof(26, axiom,![X22]:![X23]:![X24]:![X25]:(![X7]:s(X23,happ(s(t_fun(X22,X23),X24),s(X22,X7)))=s(X23,happ(s(t_fun(X22,X23),X25),s(X22,X7)))=>s(t_fun(X22,X23),X24)=s(t_fun(X22,X23),X25)),file('i/f/bag/BAG__EXTENSION', aHLu_EXT)).
fof(29, axiom,![X21]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X21)))),file('i/f/bag/BAG__EXTENSION', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(30, axiom,![X4]:![X21]:(s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,X4)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X4))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X21)))))),file('i/f/bag/BAG__EXTENSION', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
# SZS output end CNFRefutation
