# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/frac/FRAC__MUL__RID', aHLu_TRUTH)).
fof(5, axiom,s(t_h4s_fracs_frac,h4s_fracs_fracu_u_1)=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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),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/frac/FRAC__MUL__RID', ah4s_fracs_fracu_u_1u_u_def)).
fof(6, axiom,![X7]:![X8]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_mul(s(t_h4s_fracs_frac,X8),s(t_h4s_fracs_frac,X7)))=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_mul(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X8))),s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X7))))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X8))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X7))))))))),file('i/f/frac/FRAC__MUL__RID', ah4s_fracs_fracu_u_mulu_u_def)).
fof(10, axiom,![X10]:![X11]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_mul(s(t_h4s_fracs_frac,X11),s(t_h4s_fracs_frac,X10)))=s(t_h4s_fracs_frac,h4s_fracs_fracu_u_mul(s(t_h4s_fracs_frac,X10),s(t_h4s_fracs_frac,X11))),file('i/f/frac/FRAC__MUL__RID', ah4s_fracs_FRACu_u_MULu_u_COMM)).
fof(14, axiom,![X10]:![X11]:(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,X10))))=>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,X11),s(t_h4s_integers_int,X10)))))))=s(t_h4s_integers_int,X11)),file('i/f/frac/FRAC__MUL__RID', ah4s_fracs_NMR)).
fof(16, axiom,![X10]:![X11]:(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,X10))))=>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,X11),s(t_h4s_integers_int,X10)))))))=s(t_h4s_integers_int,X10)),file('i/f/frac/FRAC__MUL__RID', ah4s_fracs_DNM)).
fof(19, axiom,![X4]: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_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X4))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X4)))))))=s(t_h4s_fracs_frac,X4),file('i/f/frac/FRAC__MUL__RID', ah4s_fracs_FRAC)).
fof(23, axiom,![X4]: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,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X4)))))),file('i/f/frac/FRAC__MUL__RID', ah4s_fracs_FRACu_u_DNMPOS)).
fof(91, axiom,![X57]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X57)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X57))),file('i/f/frac/FRAC__MUL__RID', ah4s_numerals_numeralu_u_distribu_c21)).
fof(92, axiom,![X57]:![X58]: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,X57))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X58)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X57),s(t_h4s_nums_num,X58))),file('i/f/frac/FRAC__MUL__RID', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c0)).
fof(93, axiom,![X57]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X57)))))=s(t_bool,t),file('i/f/frac/FRAC__MUL__RID', ah4s_numerals_numeralu_u_ltu_c0)).
fof(94, 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/frac/FRAC__MUL__RID', ah4s_integers_INTu_u_MULu_u_RID)).
fof(133, conjecture,![X11]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_mul(s(t_h4s_fracs_frac,X11),s(t_h4s_fracs_frac,h4s_fracs_fracu_u_1)))=s(t_h4s_fracs_frac,X11),file('i/f/frac/FRAC__MUL__RID', ch4s_fracs_FRACu_u_MULu_u_RID)).
# SZS output end CNFRefutation
