# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(~(s(t_h4s_rats_rat,X1)=s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>(s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X3))),s(t_h4s_rats_rat,X1)))=s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X2))),s(t_h4s_rats_rat,X1)))<=>s(t_h4s_rats_rat,X3)=s(t_h4s_rats_rat,X2))),file('i/f/rat/RAT__EQ__RMUL', ch4s_rats_RATu_u_EQu_u_RMUL)).
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_mul(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_mul(s(t_h4s_rats_rat,X15))),s(t_h4s_rats_rat,X16))),file('i/f/rat/RAT__EQ__RMUL', ah4s_rats_RATu_u_MULu_u_COMM)).
fof(36, axiom,![X3]:(~(s(t_h4s_rats_rat,X3)=s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))<=>p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_mul(s(t_h4s_rats_rat,X3))))))),file('i/f/rat/RAT__EQ__RMUL', ah4s_rats_RATu_u_MULu_u_ONEu_u_ONE)).
fof(38, axiom,![X21]:![X7]:![X19]:(p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(X7,X21),X19))))<=>![X22]:![X23]:(s(X21,happ(s(t_fun(X7,X21),X19),s(X7,X22)))=s(X21,happ(s(t_fun(X7,X21),X19),s(X7,X23)))=>s(X7,X22)=s(X7,X23))),file('i/f/rat/RAT__EQ__RMUL', ah4s_bools_ONEu_u_ONEu_u_THM)).
# SZS output end CNFRefutation
