# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]: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,happ(s(t_fun(t_h4s_rats_rat,t_h4s_fracs_frac),h4s_rats_repu_u_rat),s(t_h4s_rats_rat,X1)))))=s(t_h4s_rats_rat,X1),file('i/f/rat/RAT', ch4s_rats_RAT)).
fof(19, axiom,p(s(t_bool,h4s_quotients_quotient(s(t_fun(t_h4s_fracs_frac,t_fun(t_h4s_fracs_frac,t_bool)),h4s_rats_ratu_u_equiv),s(t_fun(t_h4s_fracs_frac,t_h4s_rats_rat),h4s_rats_absu_u_rat),s(t_fun(t_h4s_rats_rat,t_h4s_fracs_frac),h4s_rats_repu_u_rat)))),file('i/f/rat/RAT', ah4s_rats_ratu_u_def)).
fof(56, axiom,![X36]:![X7]:![X37]:![X38]:![X33]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X7,t_fun(X7,t_bool)),X33),s(t_fun(X7,X36),X38),s(t_fun(X36,X7),X37))))<=>(![X18]:s(X36,happ(s(t_fun(X7,X36),X38),s(X7,happ(s(t_fun(X36,X7),X37),s(X36,X18)))))=s(X36,X18)&(![X18]:p(s(t_bool,happ(s(t_fun(X7,t_bool),happ(s(t_fun(X7,t_fun(X7,t_bool)),X33),s(X7,happ(s(t_fun(X36,X7),X37),s(X36,X18))))),s(X7,happ(s(t_fun(X36,X7),X37),s(X36,X18))))))&![X1]:![X39]:(p(s(t_bool,happ(s(t_fun(X7,t_bool),happ(s(t_fun(X7,t_fun(X7,t_bool)),X33),s(X7,X1))),s(X7,X39))))<=>(p(s(t_bool,happ(s(t_fun(X7,t_bool),happ(s(t_fun(X7,t_fun(X7,t_bool)),X33),s(X7,X1))),s(X7,X1))))&(p(s(t_bool,happ(s(t_fun(X7,t_bool),happ(s(t_fun(X7,t_fun(X7,t_bool)),X33),s(X7,X39))),s(X7,X39))))&s(X36,happ(s(t_fun(X7,X36),X38),s(X7,X1)))=s(X36,happ(s(t_fun(X7,X36),X38),s(X7,X39))))))))),file('i/f/rat/RAT', ah4s_quotients_QUOTIENTu_u_def)).
# SZS output end CNFRefutation
