# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(8, axiom,![X10]:![X11]: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,X11))),s(t_h4s_rats_rat,X10)))=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,X10))),s(t_h4s_rats_rat,X11))),file('i/f/rat/RAT__EQ__RMUL', ah4s_rats_RATu_u_MULu_u_COMM)).
fof(32, axiom,![X8]:(~(s(t_h4s_rats_rat,X8)=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,X8))))))),file('i/f/rat/RAT__EQ__RMUL', ah4s_rats_RATu_u_MULu_u_ONEu_u_ONE)).
fof(123, axiom,![X50]:![X12]:![X6]:(p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(X12,X50),X6))))<=>![X62]:![X63]:(s(X50,happ(s(t_fun(X12,X50),X6),s(X12,X62)))=s(X50,happ(s(t_fun(X12,X50),X6),s(X12,X63)))=>s(X12,X62)=s(X12,X63))),file('i/f/rat/RAT__EQ__RMUL', ah4s_bools_ONEu_u_ONEu_u_DEF)).
fof(133, conjecture,![X65]:![X7]:![X8]:(~(s(t_h4s_rats_rat,X65)=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,X8))),s(t_h4s_rats_rat,X65)))=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,X7))),s(t_h4s_rats_rat,X65)))<=>s(t_h4s_rats_rat,X8)=s(t_h4s_rats_rat,X7))),file('i/f/rat/RAT__EQ__RMUL', ch4s_rats_RATu_u_EQu_u_RMUL)).
# SZS output end CNFRefutation
