# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(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_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_integers_int,X1))),file('i/f/HolSmt/r082', ch4s_HolSmts_r082)).
fof(10, axiom,![X4]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X1))),file('i/f/HolSmt/r082', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(12, axiom,![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(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))))))),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,X1),file('i/f/HolSmt/r082', ah4s_integers_INTu_u_MULu_u_LID)).
fof(13, axiom,![X7]:![X4]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4))),s(t_h4s_integers_int,X7)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X7))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X7))))),file('i/f/HolSmt/r082', ah4s_integers_INTu_u_RDISTRIB)).
fof(25, axiom,![X9]:![X10]:s(t_h4s_integers_int,h4s_integers_intu_u_add(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,X9))))),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,X10)))))))=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_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X10))))))))),file('i/f/HolSmt/r082', ah4s_integers_INTu_u_ADDu_u_REDUCEu_c4)).
fof(29, axiom,![X9]:![X10]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X10))))))),file('i/f/HolSmt/r082', ah4s_numerals_numeralu_u_addu_c2)).
fof(35, axiom,![X9]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,X9),file('i/f/HolSmt/r082', ah4s_numerals_numeralu_u_addu_c1)).
# SZS output end CNFRefutation
