# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(43, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X14),file('i/f/int_arith/less__to__leq__samel', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(46, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/int_arith/less__to__leq__samel', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(55, axiom,![X13]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))))),file('i/f/int_arith/less__to__leq__samel', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(58, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/int_arith/less__to__leq__samel', ah4s_arithmetics_BIT10)).
fof(61, axiom,![X12]:![X6]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X12)))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))),file('i/f/int_arith/less__to__leq__samel', ah4s_integers_INTu_u_LEu_u_LT1)).
fof(111, axiom,![X28]:![X12]:![X6]:(s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X28)))<=>s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X28)))=s(t_h4s_integers_int,X12)),file('i/f/int_arith/less__to__leq__samel', ah4s_integers_INTu_u_EQu_u_SUBu_u_LADD)).
fof(119, axiom,![X12]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X12)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X12))))),file('i/f/int_arith/less__to__leq__samel', ah4s_integers_intu_u_sub0)).
fof(123, axiom,![X13]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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_h4s_nums_num,X13))),file('i/f/int_arith/less__to__leq__samel', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(131, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/int_arith/less__to__leq__samel', ah4s_arithmetics_MULTu_u_0)).
fof(133, conjecture,![X12]:![X6]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X12)))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))),file('i/f/int_arith/less__to__leq__samel', ch4s_intu_u_ariths_lessu_u_tou_u_lequ_u_samel)).
# SZS output end CNFRefutation
