# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((s(t_h4s_rats_rat,X2)=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,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,X2))),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)))),file('i/f/rat/RAT__NO__ZERODIV', ch4s_rats_RATu_u_NOu_u_ZERODIV)).
fof(10, axiom,![X11]:![X12]: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,X12))),s(t_h4s_rats_rat,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,X12))),file('i/f/rat/RAT__NO__ZERODIV', ah4s_rats_RATu_u_MULu_u_COMM)).
fof(28, axiom,![X23]:![X1]:![X2]:(~(s(t_h4s_rats_rat,X23)=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,X23))),s(t_h4s_rats_rat,X2)))=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,X23))),s(t_h4s_rats_rat,X1)))<=>s(t_h4s_rats_rat,X2)=s(t_h4s_rats_rat,X1))),file('i/f/rat/RAT__NO__ZERODIV', ah4s_rats_RATu_u_EQu_u_LMUL)).
fof(42, axiom,![X2]:s(t_h4s_rats_rat,h4s_rats_ratu_u_sub(s(t_h4s_rats_rat,X2),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,X2),file('i/f/rat/RAT__NO__ZERODIV', ah4s_rats_RATu_u_SUBu_u_RID)).
fof(43, axiom,![X2]:s(t_h4s_rats_rat,h4s_rats_ratu_u_sub(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,X2)))=s(t_h4s_rats_rat,h4s_rats_ratu_u_ainv(s(t_h4s_rats_rat,X2))),file('i/f/rat/RAT__NO__ZERODIV', ah4s_rats_RATu_u_SUBu_u_LID)).
fof(44, axiom,![X2]:(s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))<=>s(t_h4s_rats_rat,X2)=s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/rat/RAT__NO__ZERODIV', ah4s_rats_RATu_u_SGNu_u_CLAUSESu_c1)).
fof(49, axiom,![X7]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X7)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/rat/RAT__NO__ZERODIV', ah4s_integers_INTu_u_MULu_u_LZERO)).
fof(51, axiom,![X7]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/rat/RAT__NO__ZERODIV', ah4s_integers_INTu_u_MULu_u_RZERO)).
fof(59, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(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_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X2))),s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X1))))),file('i/f/rat/RAT__NO__ZERODIV', ah4s_rats_RATu_u_SGNu_u_MUL)).
# SZS output end CNFRefutation
