# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X1))))),file('i/f/rat/RAT__LES__REF', ch4s_rats_RATu_u_LESu_u_REF)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__LES__REF', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__LES__REF', aHLu_FALSITY)).
fof(7, axiom,![X5]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/rat/RAT__LES__REF', ah4s_numerals_numeralu_u_equ_c1)).
fof(8, axiom,![X6]:![X1]:(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X6))))<=>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,X6),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__LES__REF', ah4s_rats_ratu_u_lesu_u_def)).
fof(9, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/rat/RAT__LES__REF', aHLu_BOOLu_CASES)).
fof(10, axiom,![X5]:![X7]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X7)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X5)))<=>s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,X5)),file('i/f/rat/RAT__LES__REF', ah4s_integers_INTu_u_INJ)).
fof(11, axiom,![X8]:s(t_h4s_rats_rat,h4s_rats_ratu_u_sub(s(t_h4s_rats_rat,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))),file('i/f/rat/RAT__LES__REF', ah4s_rats_RATu_u_SUBu_u_ID)).
fof(12, 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__LES__REF', ah4s_rats_RATu_u_SGNu_u_0)).
fof(13, axiom,![X5]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))<=>s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/rat/RAT__LES__REF', ah4s_numerals_numeralu_u_distribu_c18)).
# SZS output end CNFRefutation
