# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,happ(s(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_bool,happ(s(t_fun(t_h4s_fracs_frac,t_bool),h4s_rats_ratu_u_equiv(s(t_h4s_fracs_frac,X1))),s(t_h4s_fracs_frac,X2))),file('i/f/rat/RAT__EQUIV__SYM', ch4s_rats_RATu_u_EQUIVu_u_SYM)).
fof(19, axiom,![X22]:![X23]:(p(s(t_bool,happ(s(t_fun(t_h4s_fracs_frac,t_bool),h4s_rats_ratu_u_equiv(s(t_h4s_fracs_frac,X23))),s(t_h4s_fracs_frac,X22))))<=>s(t_fun(t_h4s_fracs_frac,t_bool),h4s_rats_ratu_u_equiv(s(t_h4s_fracs_frac,X23)))=s(t_fun(t_h4s_fracs_frac,t_bool),h4s_rats_ratu_u_equiv(s(t_h4s_fracs_frac,X22)))),file('i/f/rat/RAT__EQUIV__SYM', ah4s_rats_RATu_u_EQUIV)).
fof(20, axiom,![X2]:p(s(t_bool,happ(s(t_fun(t_h4s_fracs_frac,t_bool),h4s_rats_ratu_u_equiv(s(t_h4s_fracs_frac,X2))),s(t_h4s_fracs_frac,X2)))),file('i/f/rat/RAT__EQUIV__SYM', ah4s_rats_RATu_u_EQUIVu_u_REF)).
fof(32, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__EQUIV__SYM', aHLu_TRUTH)).
fof(34, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/rat/RAT__EQUIV__SYM', aHLu_BOOLu_CASES)).
fof(37, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/rat/RAT__EQUIV__SYM', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(41, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f)<=>~(p(s(t_bool,X5)))),file('i/f/rat/RAT__EQUIV__SYM', ah4s_bools_EQu_u_CLAUSESu_c3)).
# SZS output end CNFRefutation
