# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X3),s(t_h4s_nums_num,X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_filter(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_h4s_nums_num),X4))))))<=>(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)|(p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X3))))&p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X3),s(t_h4s_nums_num,X2),s(t_fun(X1,t_h4s_nums_num),X4))))))),file('i/f/bag/BAG__INN__BAG__FILTER', ch4s_bags_BAGu_u_INNu_u_BAGu_u_FILTER)).
fof(17, axiom,![X1]:![X2]:![X3]:![X4]:s(t_bool,h4s_bags_bagu_u_inn(s(X1,X3),s(t_h4s_nums_num,X2),s(t_fun(X1,t_h4s_nums_num),X4)))=s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X4),s(X1,X3))),s(t_h4s_nums_num,X2))),file('i/f/bag/BAG__INN__BAG__FILTER', ah4s_bags_BAGu_u_INN0)).
fof(20, axiom,![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2)))),file('i/f/bag/BAG__INN__BAG__FILTER', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(22, axiom,![X1]:![X4]:![X5]:![X9]:s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_filter(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_h4s_nums_num),X4))),s(X1,X9)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X9))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X4),s(X1,X9))),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/bag/BAG__INN__BAG__FILTER', ah4s_bags_BAGu_u_FILTERu_u_DEF)).
fof(23, axiom,![X2]:![X21]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X2),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,X2))),file('i/f/bag/BAG__INN__BAG__FILTER', ah4s_arithmetics_GREATERu_u_EQ)).
fof(27, axiom,![X16]:![X2]:![X21]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X16))))),file('i/f/bag/BAG__INN__BAG__FILTER', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(28, axiom,![X2]:![X21]:(s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,X2)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X21)))))),file('i/f/bag/BAG__INN__BAG__FILTER', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(29, axiom,![X1]:![X6]:![X7]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X7),s(X1,X6)))=s(X1,X7),file('i/f/bag/BAG__INN__BAG__FILTER', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(30, axiom,![X1]:![X6]:![X7]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X7),s(X1,X6)))=s(X1,X6),file('i/f/bag/BAG__INN__BAG__FILTER', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(33, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__INN__BAG__FILTER', aHLu_TRUTH)).
fof(34, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/bag/BAG__INN__BAG__FILTER', aHLu_BOOLu_CASES)).
fof(38, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/bag/BAG__INN__BAG__FILTER', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(39, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__INN__BAG__FILTER', aHLu_FALSITY)).
fof(44, axiom,![X8]:((p(s(t_bool,X8))=>p(s(t_bool,f)))<=>s(t_bool,X8)=s(t_bool,f)),file('i/f/bag/BAG__INN__BAG__FILTER', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
# SZS output end CNFRefutation
