# 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_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_gre(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_c2', ch4s_rats_RATu_u_SGNu_u_CLAUSESu_c2)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__SGN__CLAUSES_c2', aHLu_FALSITY)).
fof(15, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/rat/RAT__SGN__CLAUSES_c2', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(40, axiom,![X19]:![X1]:s(t_bool,h4s_rats_ratu_u_gre(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X19)))=s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X19),s(t_h4s_rats_rat,X1))),file('i/f/rat/RAT__SGN__CLAUSES_c2', ah4s_rats_ratu_u_greu_u_def)).
fof(44, 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_c2', ah4s_rats_RATu_u_SUBu_u_RID)).
fof(47, axiom,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_fracs_frac,t_h4s_rats_rat),h4s_rats_absu_u_rat),s(t_h4s_fracs_frac,h4s_fracs_fracu_u_0))),file('i/f/rat/RAT__SGN__CLAUSES_c2', ah4s_rats_ratu_u_00)).
fof(70, axiom,![X19]:![X1]:(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X19))))<=>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,X19),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_c2', ah4s_rats_ratu_u_lesu_u_def)).
# SZS output end CNFRefutation
