# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X2))),s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X1))))),file('i/f/rat/RAT__SGN__MUL', ch4s_rats_RATu_u_SGNu_u_MUL)).
fof(16, axiom,![X11]:![X12]: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,X12),s(t_h4s_fracs_frac,X11)))))=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,X12))),s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X11))))),file('i/f/rat/RAT__SGN__MUL', ah4s_fracs_FRACu_u_SGNu_u_MUL2)).
fof(17, axiom,![X8]:s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X8)))=s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X8))))),file('i/f/rat/RAT__SGN__MUL', ah4s_rats_ratu_u_sgnu_u_def)).
fof(18, axiom,![X1]:![X2]:s(t_h4s_rats_rat,h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X2),s(t_h4s_rats_rat,X1)))=s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,h4s_fracs_fracu_u_mul(s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X2))),s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X1))))))),file('i/f/rat/RAT__SGN__MUL', ah4s_rats_ratu_u_mulu_u_def)).
fof(19, axiom,![X12]:s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,X12)))))))=s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X12))),file('i/f/rat/RAT__SGN__MUL', ah4s_rats_RATu_u_SGNu_u_CONG)).
# SZS output end CNFRefutation
