# 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(18, 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_QUOTIENT)).
fof(20, axiom,![X14]:![X15]:![X16]:![X17]:![X18]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X15,t_fun(X15,t_bool)),X18),s(t_fun(X15,X14),X17),s(t_fun(X14,X15),X16))))<=>(![X19]:s(X14,happ(s(t_fun(X15,X14),X17),s(X15,happ(s(t_fun(X14,X15),X16),s(X14,X19)))))=s(X14,X19)&(![X19]:p(s(t_bool,happ(s(t_fun(X15,t_bool),happ(s(t_fun(X15,t_fun(X15,t_bool)),X18),s(X15,happ(s(t_fun(X14,X15),X16),s(X14,X19))))),s(X15,happ(s(t_fun(X14,X15),X16),s(X14,X19))))))&![X1]:![X20]:(p(s(t_bool,happ(s(t_fun(X15,t_bool),happ(s(t_fun(X15,t_fun(X15,t_bool)),X18),s(X15,X1))),s(X15,X20))))<=>(p(s(t_bool,happ(s(t_fun(X15,t_bool),happ(s(t_fun(X15,t_fun(X15,t_bool)),X18),s(X15,X1))),s(X15,X1))))&(p(s(t_bool,happ(s(t_fun(X15,t_bool),happ(s(t_fun(X15,t_fun(X15,t_bool)),X18),s(X15,X20))),s(X15,X20))))&s(X14,happ(s(t_fun(X15,X14),X17),s(X15,X1)))=s(X14,happ(s(t_fun(X15,X14),X17),s(X15,X20))))))))),file('i/f/rat/RAT', ah4s_quotients_QUOTIENTu_u_def)).
# SZS output end CNFRefutation
