# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__INSERT__NOT__EMPTY', aHLu_FALSITY)).
fof(12, axiom,![X7]:![X6]:s(t_h4s_nums_num,happ(s(t_fun(X7,t_h4s_nums_num),h4s_bags_emptyu_u_bag),s(X7,X6)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/bag/BAG__INSERT__NOT__EMPTY', ah4s_bags_EMPTYu_u_BAGu_u_alt)).
fof(20, axiom,![X7]:![X15]:![X16]:![X8]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X7,X16),s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X7,X15),s(t_fun(X7,t_h4s_nums_num),X8))))))<=>(s(X7,X16)=s(X7,X15)|p(s(t_bool,h4s_bags_bagu_u_in(s(X7,X16),s(t_fun(X7,t_h4s_nums_num),X8)))))),file('i/f/bag/BAG__INSERT__NOT__EMPTY', ah4s_bags_BAGu_u_INu_u_BAGu_u_INSERT)).
fof(36, axiom,![X14]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bag/BAG__INSERT__NOT__EMPTY', ah4s_numerals_numeralu_u_lteu_c1)).
fof(37, axiom,![X14]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/bag/BAG__INSERT__NOT__EMPTY', ah4s_numerals_numeralu_u_distribu_c27)).
fof(74, axiom,![X7]:![X14]:![X10]:![X8]:s(t_bool,h4s_bags_bagu_u_inn(s(X7,X10),s(t_h4s_nums_num,X14),s(t_fun(X7,t_h4s_nums_num),X8)))=s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,happ(s(t_fun(X7,t_h4s_nums_num),X8),s(X7,X10))),s(t_h4s_nums_num,X14))),file('i/f/bag/BAG__INSERT__NOT__EMPTY', ah4s_bags_BAGu_u_INN0)).
fof(88, axiom,![X7]:![X10]:![X8]:s(t_bool,h4s_bags_bagu_u_in(s(X7,X10),s(t_fun(X7,t_h4s_nums_num),X8)))=s(t_bool,h4s_bags_bagu_u_inn(s(X7,X10),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_fun(X7,t_h4s_nums_num),X8))),file('i/f/bag/BAG__INSERT__NOT__EMPTY', ah4s_bags_BAGu_u_IN0)).
fof(109, axiom,![X14]:![X21]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X14),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,X14))),file('i/f/bag/BAG__INSERT__NOT__EMPTY', ah4s_arithmetics_GREATERu_u_EQ)).
fof(133, conjecture,![X7]:![X6]:![X8]:~(s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X7,X6),s(t_fun(X7,t_h4s_nums_num),X8)))=s(t_fun(X7,t_h4s_nums_num),h4s_bags_emptyu_u_bag)),file('i/f/bag/BAG__INSERT__NOT__EMPTY', ch4s_bags_BAGu_u_INSERTu_u_NOTu_u_EMPTY)).
# SZS output end CNFRefutation
