# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_nums_num,t_h4s_rats_rat),h4s_rats_ratu_u_ofu_u_num),s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_rats_rat,X1)))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,h4s_rats_ratu_u_nmr(s(t_h4s_rats_rat,X1))))),file('i/f/rat/RAT__0LES__NMR', ch4s_rats_RATu_u_0LESu_u_NMR)).
fof(27, axiom,![X20]:![X21]:s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_fracs_frac,t_h4s_rats_rat),h4s_rats_absu_u_rat),s(t_h4s_fracs_frac,X21))),s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_fracs_frac,t_h4s_rats_rat),h4s_rats_absu_u_rat),s(t_h4s_fracs_frac,X20)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X21))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X20))))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X20))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X21))))))),file('i/f/rat/RAT__0LES__NMR', ah4s_rats_RATu_u_LESu_u_CALCULATE)).
fof(28, axiom,![X22]:![X23]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X22))))=>s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,h4s_fracs_absu_u_frac(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_integers_int,X23),s(t_h4s_integers_int,X22)))))))=s(t_h4s_integers_int,X22)),file('i/f/rat/RAT__0LES__NMR', ah4s_fracs_DNM)).
fof(29, axiom,![X22]:![X23]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X22))))=>s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,h4s_fracs_absu_u_frac(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_integers_int,X23),s(t_h4s_integers_int,X22)))))))=s(t_h4s_integers_int,X23)),file('i/f/rat/RAT__0LES__NMR', ah4s_fracs_NMR)).
fof(30, axiom,![X24]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),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,X24)))))))))=s(t_bool,t),file('i/f/rat/RAT__0LES__NMR', ah4s_integers_INTu_u_LTu_u_REDUCEu_c0)).
fof(37, axiom,![X12]:s(t_h4s_integers_int,h4s_rats_ratu_u_nmr(s(t_h4s_rats_rat,X12)))=s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,happ(s(t_fun(t_h4s_rats_rat,t_h4s_fracs_frac),h4s_rats_repu_u_rat),s(t_h4s_rats_rat,X12))))),file('i/f/rat/RAT__0LES__NMR', ah4s_rats_ratu_u_nmru_u_def)).
fof(40, axiom,![X12]:s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_fracs_frac,t_h4s_rats_rat),h4s_rats_absu_u_rat),s(t_h4s_fracs_frac,happ(s(t_fun(t_h4s_rats_rat,t_h4s_fracs_frac),h4s_rats_repu_u_rat),s(t_h4s_rats_rat,X12)))))=s(t_h4s_rats_rat,X12),file('i/f/rat/RAT__0LES__NMR', ah4s_rats_RAT)).
fof(42, axiom,![X6]: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_nums_0))),s(t_h4s_integers_int,X6)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/rat/RAT__0LES__NMR', ah4s_integers_INTu_u_MULu_u_LZERO)).
fof(43, axiom,![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),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,X6),file('i/f/rat/RAT__0LES__NMR', ah4s_integers_INTu_u_MULu_u_RID)).
fof(77, axiom,s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_nums_num,t_h4s_rats_rat),h4s_rats_ratu_u_ofu_u_num),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_fracs_frac,t_h4s_rats_rat),h4s_rats_absu_u_rat),s(t_h4s_fracs_frac,h4s_fracs_fracu_u_0))),file('i/f/rat/RAT__0LES__NMR', ah4s_rats_ratu_u_00)).
fof(78, axiom,s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_nums_num,t_h4s_rats_rat),h4s_rats_ratu_u_ofu_u_num),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_rats_rat,h4s_rats_ratu_u_0),file('i/f/rat/RAT__0LES__NMR', ah4s_rats_ratu_u_ofu_u_numu_u_defu_u_computeu_c0)).
fof(80, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__0LES__NMR', aHLu_TRUTH)).
fof(89, axiom,![X12]:s(t_h4s_integers_int,h4s_rats_ratu_u_dnm(s(t_h4s_rats_rat,X12)))=s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,happ(s(t_fun(t_h4s_rats_rat,t_h4s_fracs_frac),h4s_rats_repu_u_rat),s(t_h4s_rats_rat,X12))))),file('i/f/rat/RAT__0LES__NMR', ah4s_rats_ratu_u_dnmu_u_def)).
fof(98, axiom,s(t_h4s_fracs_frac,h4s_fracs_fracu_u_0)=s(t_h4s_fracs_frac,h4s_fracs_absu_u_frac(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),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/rat/RAT__0LES__NMR', ah4s_fracs_fracu_u_0u_u_def)).
# SZS output end CNFRefutation
