# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X1))),s(t_h4s_rats_rat,X3)))=s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X1))),s(t_h4s_rats_rat,X2)))<=>s(t_h4s_rats_rat,X3)=s(t_h4s_rats_rat,X2)),file('i/f/rat/RAT__EQ__LADD', ch4s_rats_RATu_u_EQu_u_LADD)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__EQ__LADD', aHLu_TRUTH)).
fof(20, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/rat/RAT__EQ__LADD', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(35, axiom,![X15]:![X16]:s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X16))),s(t_h4s_rats_rat,X15)))=s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X15))),s(t_h4s_rats_rat,X16))),file('i/f/rat/RAT__EQ__LADD', ah4s_rats_RATu_u_ADDu_u_COMM)).
fof(36, axiom,![X3]:p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X3)))))),file('i/f/rat/RAT__EQ__LADD', ah4s_rats_RATu_u_ADDu_u_ONEu_u_ONE)).
fof(39, axiom,![X22]:![X7]:![X19]:(p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(X7,X22),X19))))<=>![X23]:![X24]:(s(X22,happ(s(t_fun(X7,X22),X19),s(X7,X23)))=s(X22,happ(s(t_fun(X7,X22),X19),s(X7,X24)))=>s(X7,X23)=s(X7,X24))),file('i/f/rat/RAT__EQ__LADD', ah4s_bools_ONEu_u_ONEu_u_THM)).
# SZS output end CNFRefutation
