# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(6, axiom,![X11]:![X6]:![X12]:![X13]:s(t_bool,h4s_blasts_bcarry(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12))),s(t_fun(t_h4s_nums_num,t_bool),X6),s(t_fun(t_h4s_nums_num,t_bool),X11),s(t_bool,X13)))=s(t_bool,h4s_blasts_bcarry0(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X6),s(t_h4s_nums_num,X12))),s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X11),s(t_h4s_nums_num,X12))),s(t_bool,h4s_blasts_bcarry(s(t_h4s_nums_num,X12),s(t_fun(t_h4s_nums_num,t_bool),X6),s(t_fun(t_h4s_nums_num,t_bool),X11),s(t_bool,X13))))),file('i/f/blast/BCARRY__def__compute_c1', ah4s_blasts_BCARRYu_u_defu_c1)).
fof(43, 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/blast/BCARRY__def__compute_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(44, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/blast/BCARRY__def__compute_c1', ah4s_arithmetics_ALTu_u_ZERO)).
fof(49, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/blast/BCARRY__def__compute_c1', ah4s_arithmetics_BIT10)).
fof(57, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0)))=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/blast/BCARRY__def__compute_c1', ah4s_numerals_numeralu_u_distribu_c13)).
fof(61, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/blast/BCARRY__def__compute_c1', ah4s_numerals_numeralu_u_distribu_c3)).
fof(67, axiom,![X6]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X6))),file('i/f/blast/BCARRY__def__compute_c1', ah4s_numerals_iDUB0)).
fof(69, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X10),file('i/f/blast/BCARRY__def__compute_c1', ah4s_numerals_numeralu_u_distribu_c1)).
fof(97, axiom,![X10]:![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X21)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X21))),file('i/f/blast/BCARRY__def__compute_c1', ah4s_arithmetics_SUBu_u_MONOu_u_EQ)).
fof(98, axiom,![X10]:![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X10))))),file('i/f/blast/BCARRY__def__compute_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(101, axiom,![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X21),file('i/f/blast/BCARRY__def__compute_c1', ah4s_arithmetics_SUBu_u_0u_c1)).
fof(133, conjecture,![X11]:![X6]:![X12]:![X13]:s(t_bool,h4s_blasts_bcarry(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))),s(t_fun(t_h4s_nums_num,t_bool),X6),s(t_fun(t_h4s_nums_num,t_bool),X11),s(t_bool,X13)))=s(t_bool,h4s_blasts_bcarry0(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X6),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))),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_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X11),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))),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_bool,h4s_blasts_bcarry(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))),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(t_h4s_nums_num,t_bool),X6),s(t_fun(t_h4s_nums_num,t_bool),X11),s(t_bool,X13))))),file('i/f/blast/BCARRY__def__compute_c1', ch4s_blasts_BCARRYu_u_defu_u_computeu_c1)).
# SZS output end CNFRefutation
