# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,h4s_fracs_fracu_u_mul(s(t_h4s_fracs_frac,X2),s(t_h4s_fracs_frac,X1)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X2))),s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X1))))),file('i/f/frac/FRAC__SGN__MUL2', ch4s_fracs_FRACu_u_SGNu_u_MUL2)).
fof(16, axiom,![X11]:![X12]:(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,X12))))=>(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,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,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X11)))))))),file('i/f/frac/FRAC__SGN__MUL2', ah4s_intExtensions_INTu_u_MULu_u_POSu_u_SIGN)).
fof(17, axiom,![X13]:![X14]:s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X13)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,X14))),s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,X13))))),file('i/f/frac/FRAC__SGN__MUL2', ah4s_intExtensions_INTu_u_SGNu_u_MUL2)).
fof(18, axiom,![X1]:![X2]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_mul(s(t_h4s_fracs_frac,X2),s(t_h4s_fracs_frac,X1)))=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,X2))),s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X1))))),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,X2))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X1))))))))),file('i/f/frac/FRAC__SGN__MUL2', ah4s_fracs_fracu_u_mulu_u_def)).
fof(19, axiom,![X2]:s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X2)))=s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X2))))),file('i/f/frac/FRAC__SGN__MUL2', ah4s_fracs_fracu_u_sgnu_u_def)).
fof(20, axiom,![X15]: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,X15)))))),file('i/f/frac/FRAC__SGN__MUL2', ah4s_fracs_FRACu_u_DNMPOS)).
fof(21, axiom,![X11]:![X12]:(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,X11))))=>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,X12),s(t_h4s_integers_int,X11)))))))=s(t_h4s_integers_int,X12)),file('i/f/frac/FRAC__SGN__MUL2', ah4s_fracs_NMR)).
fof(22, axiom,p(s(t_bool,t)),file('i/f/frac/FRAC__SGN__MUL2', aHLu_TRUTH)).
fof(24, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/frac/FRAC__SGN__MUL2', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
