# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_rats_ratu_u_equiv(s(t_h4s_fracs_frac,X1),s(t_h4s_fracs_frac,X1)))),file('i/f/rat/RAT__EQUIV__REF', ch4s_rats_RATu_u_EQUIVu_u_REF)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__EQUIV__REF', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__EQUIV__REF', aHLu_FALSITY)).
fof(6, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/rat/RAT__EQUIV__REF', aHLu_BOOLu_CASES)).
fof(7, axiom,![X5]:![X6]:(p(s(t_bool,h4s_rats_ratu_u_equiv(s(t_h4s_fracs_frac,X6),s(t_h4s_fracs_frac,X5))))<=>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,X6))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X5)))))=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,X5))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X6)))))),file('i/f/rat/RAT__EQUIV__REF', ah4s_rats_ratu_u_equivu_u_def)).
# SZS output end CNFRefutation
