# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,X2)))=s(t_h4s_rats_rat,h4s_rats_absu_u_rat(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_nmr(s(t_h4s_fracs_frac,X2))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(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_nmr(s(t_h4s_fracs_frac,X1))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X2)))))),file('i/f/rat/RAT__EQ', ch4s_rats_RATu_u_EQ)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__EQ', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__EQ', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/rat/RAT__EQ', aHLu_BOOLu_CASES)).
fof(7, axiom,![X1]:![X2]:(p(s(t_bool,h4s_rats_ratu_u_equiv(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_nmr(s(t_h4s_fracs_frac,X2))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(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_nmr(s(t_h4s_fracs_frac,X1))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X2)))))),file('i/f/rat/RAT__EQ', ah4s_rats_ratu_u_equivu_u_def)).
fof(8, axiom,![X1]:![X2]:(s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,X2)))=s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,X1)))<=>p(s(t_bool,h4s_rats_ratu_u_equiv(s(t_h4s_fracs_frac,X2),s(t_h4s_fracs_frac,X1))))),file('i/f/rat/RAT__EQ', ah4s_rats_RATu_u_ABSu_u_EQUIV)).
# SZS output end CNFRefutation
