# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))<=>(s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X1)))=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_rats_ratu_u_sgn(s(t_h4s_rats_rat,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),file('i/f/rat/RAT__SGN__COMPLEMENT_c0', ch4s_rats_RATu_u_SGNu_u_COMPLEMENTu_c0)).
fof(23, axiom,![X1]:(s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))|(s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X1)))=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_rats_ratu_u_sgn(s(t_h4s_rats_rat,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),file('i/f/rat/RAT__SGN__COMPLEMENT_c0', ah4s_rats_RATu_u_SGNu_u_TOTAL)).
fof(24, axiom,![X1]:(s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X1)))=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,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__SGN__COMPLEMENT_c0', ah4s_rats_RATu_u_SGNu_u_CLAUSESu_c1)).
fof(25, axiom,s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,h4s_rats_ratu_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__SGN__COMPLEMENT_c0', ah4s_rats_RATu_u_SGNu_u_0)).
fof(26, axiom,![X16]:s(t_bool,h4s_integers_intu_u_lt(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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X16)))))))))=s(t_bool,t),file('i/f/rat/RAT__SGN__COMPLEMENT_c0', ah4s_integers_INTu_u_LTu_u_REDUCEu_c0)).
fof(27, axiom,![X20]:(~(s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X20)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))<=>(s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X20)))=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_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X20)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),file('i/f/rat/RAT__SGN__COMPLEMENT_c0', ah4s_fracs_FRACu_u_SGNu_u_IMPu_u_EQGT)).
fof(31, axiom,![X16]:![X17]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X16)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X17)))))<=>(s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,h4s_nums_0)&s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/rat/RAT__SGN__COMPLEMENT_c0', ah4s_integers_INTu_u_EQu_u_CALCULATEu_c2)).
fof(36, axiom,![X16]:![X17]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X16))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X17))))))<=>(~(s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,h4s_nums_0))|~(s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/rat/RAT__SGN__COMPLEMENT_c0', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c2)).
fof(47, axiom,![X11]:![X12]:(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X12)))=s(t_h4s_integers_int,X11)<=>s(t_h4s_integers_int,X12)=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X11)))),file('i/f/rat/RAT__SGN__COMPLEMENT_c0', ah4s_integers_INTu_u_NEGu_u_EQ)).
fof(48, axiom,![X11]:![X12]:(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X12)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X11)))<=>s(t_h4s_integers_int,X12)=s(t_h4s_integers_int,X11)),file('i/f/rat/RAT__SGN__COMPLEMENT_c0', ah4s_integers_INTu_u_EQu_u_CALCULATEu_c1)).
fof(50, axiom,![X5]:s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X5)))=s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X5))))),file('i/f/rat/RAT__SGN__COMPLEMENT_c0', ah4s_rats_ratu_u_sgnu_u_def)).
fof(52, axiom,![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,h4s_rats_ratu_u_ainv(s(t_h4s_rats_rat,X1)))))))=s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X1))),file('i/f/rat/RAT__SGN__COMPLEMENT_c0', ah4s_rats_RATu_u_SGNu_u_AINV)).
fof(57, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__SGN__COMPLEMENT_c0', aHLu_TRUTH)).
# SZS output end CNFRefutation
