# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_fracs_frac,t_h4s_rats_rat),h4s_rats_absu_u_rat),s(t_h4s_fracs_frac,X2)))=s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_fracs_frac,t_h4s_rats_rat),h4s_rats_absu_u_rat),s(t_h4s_fracs_frac,X1)))<=>p(s(t_bool,happ(s(t_fun(t_h4s_fracs_frac,t_bool),happ(s(t_fun(t_h4s_fracs_frac,t_fun(t_h4s_fracs_frac,t_bool)),h4s_rats_ratu_u_equiv),s(t_h4s_fracs_frac,X2))),s(t_h4s_fracs_frac,X1))))),file('i/f/rat/RAT__ABS__EQUIV', ch4s_rats_RATu_u_ABSu_u_EQUIV)).
fof(17, axiom,![X6]:(s(t_bool,X6)=s(t_bool,f)<=>~(p(s(t_bool,X6)))),file('i/f/rat/RAT__ABS__EQUIV', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(31, axiom,![X1]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_fracs_frac,t_bool),happ(s(t_fun(t_h4s_fracs_frac,t_fun(t_h4s_fracs_frac,t_bool)),h4s_rats_ratu_u_equiv),s(t_h4s_fracs_frac,X2))),s(t_h4s_fracs_frac,X1))))<=>s(t_fun(t_h4s_fracs_frac,t_bool),happ(s(t_fun(t_h4s_fracs_frac,t_fun(t_h4s_fracs_frac,t_bool)),h4s_rats_ratu_u_equiv),s(t_h4s_fracs_frac,X2)))=s(t_fun(t_h4s_fracs_frac,t_bool),happ(s(t_fun(t_h4s_fracs_frac,t_fun(t_h4s_fracs_frac,t_bool)),h4s_rats_ratu_u_equiv),s(t_h4s_fracs_frac,X1)))),file('i/f/rat/RAT__ABS__EQUIV', ah4s_rats_RATu_u_EQUIV)).
fof(33, axiom,![X22]:p(s(t_bool,happ(s(t_fun(t_h4s_fracs_frac,t_bool),happ(s(t_fun(t_h4s_fracs_frac,t_fun(t_h4s_fracs_frac,t_bool)),h4s_rats_ratu_u_equiv),s(t_h4s_fracs_frac,X22))),s(t_h4s_fracs_frac,X22)))),file('i/f/rat/RAT__ABS__EQUIV', ah4s_rats_RATu_u_EQUIVu_u_REF)).
fof(35, axiom,![X8]:s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_fracs_frac,t_h4s_rats_rat),h4s_rats_absu_u_rat),s(t_h4s_fracs_frac,X8)))=s(t_h4s_rats_rat,h4s_rats_absu_u_ratu_u_class(s(t_fun(t_h4s_fracs_frac,t_bool),happ(s(t_fun(t_h4s_fracs_frac,t_fun(t_h4s_fracs_frac,t_bool)),h4s_rats_ratu_u_equiv),s(t_h4s_fracs_frac,X8))))),file('i/f/rat/RAT__ABS__EQUIV', ah4s_rats_absu_u_ratu_u_def)).
fof(37, axiom,![X8]:(?[X24]:(p(s(t_bool,happ(s(t_fun(t_h4s_fracs_frac,t_bool),happ(s(t_fun(t_h4s_fracs_frac,t_fun(t_h4s_fracs_frac,t_bool)),h4s_rats_ratu_u_equiv),s(t_h4s_fracs_frac,X24))),s(t_h4s_fracs_frac,X24))))&s(t_fun(t_h4s_fracs_frac,t_bool),X8)=s(t_fun(t_h4s_fracs_frac,t_bool),happ(s(t_fun(t_h4s_fracs_frac,t_fun(t_h4s_fracs_frac,t_bool)),h4s_rats_ratu_u_equiv),s(t_h4s_fracs_frac,X24))))<=>s(t_fun(t_h4s_fracs_frac,t_bool),h4s_rats_repu_u_ratu_u_class(s(t_h4s_rats_rat,h4s_rats_absu_u_ratu_u_class(s(t_fun(t_h4s_fracs_frac,t_bool),X8)))))=s(t_fun(t_h4s_fracs_frac,t_bool),X8)),file('i/f/rat/RAT__ABS__EQUIV', ah4s_rats_ratu_u_bijectionsu_c1)).
fof(69, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__ABS__EQUIV', aHLu_TRUTH)).
fof(72, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/rat/RAT__ABS__EQUIV', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
