# 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)))))))))<=>p(s(t_bool,h4s_rats_ratu_u_les(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__CLAUSES_c0', ch4s_rats_RATu_u_SGNu_u_CLAUSESu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__SGN__CLAUSES_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__SGN__CLAUSES_c0', aHLu_FALSITY)).
fof(20, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/rat/RAT__SGN__CLAUSES_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(36, axiom,![X15]:![X1]:(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X15))))<=>s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,h4s_rats_ratu_u_sub(s(t_h4s_rats_rat,X15),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__CLAUSES_c0', ah4s_rats_ratu_u_lesu_u_def)).
fof(39, axiom,![X17]:s(t_h4s_rats_rat,h4s_rats_ratu_u_add(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,X17)))=s(t_h4s_rats_rat,X17),file('i/f/rat/RAT__SGN__CLAUSES_c0', ah4s_rats_RATu_u_ADDu_u_LID)).
fof(40, axiom,![X1]:s(t_h4s_rats_rat,h4s_rats_ratu_u_sub(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,X1),file('i/f/rat/RAT__SGN__CLAUSES_c0', ah4s_rats_RATu_u_SUBu_u_RID)).
fof(48, axiom,![X11]:s(t_h4s_integers_int,h4s_rats_ratu_u_sgn(s(t_h4s_rats_rat,X11)))=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,X11))))),file('i/f/rat/RAT__SGN__CLAUSES_c0', ah4s_rats_ratu_u_sgnu_u_def)).
fof(49, axiom,![X11]:s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,h4s_rats_repu_u_rat(s(t_h4s_rats_rat,X11)))))=s(t_h4s_rats_rat,X11),file('i/f/rat/RAT__SGN__CLAUSES_c0', ah4s_rats_RAT)).
fof(50, axiom,![X20]: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,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,X20)))))))=s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X20))),file('i/f/rat/RAT__SGN__CLAUSES_c0', ah4s_rats_RATu_u_SGNu_u_CONG)).
fof(51, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/rat/RAT__SGN__CLAUSES_c0', aHLu_BOOLu_CASES)).
fof(53, axiom,![X14]:![X7]:(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X7)))=s(t_h4s_integers_int,X14)<=>s(t_h4s_integers_int,X7)=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X14)))),file('i/f/rat/RAT__SGN__CLAUSES_c0', ah4s_integers_INTu_u_NEGu_u_EQ)).
fof(54, axiom,![X20]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,h4s_fracs_fracu_u_ainv(s(t_h4s_fracs_frac,X20)))))))=s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X20))),file('i/f/rat/RAT__SGN__CLAUSES_c0', ah4s_fracs_FRACu_u_SGNu_u_AINV)).
fof(55, axiom,![X15]:![X1]:s(t_h4s_rats_rat,h4s_rats_ratu_u_sub(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X15)))=s(t_h4s_rats_rat,h4s_rats_ratu_u_add(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,h4s_rats_ratu_u_ainv(s(t_h4s_rats_rat,X15))))),file('i/f/rat/RAT__SGN__CLAUSES_c0', ah4s_rats_RATu_u_SUBu_u_ADDAINV)).
fof(57, axiom,![X20]:s(t_h4s_rats_rat,h4s_rats_ratu_u_ainv(s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,X20)))))=s(t_h4s_rats_rat,h4s_rats_absu_u_rat(s(t_h4s_fracs_frac,h4s_fracs_fracu_u_ainv(s(t_h4s_fracs_frac,X20))))),file('i/f/rat/RAT__SGN__CLAUSES_c0', ah4s_rats_RATu_u_AINVu_u_CALCULATE)).
# SZS output end CNFRefutation
