# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_rats_ratu_u_leq(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_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_rats_ratu_u_nmr(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))))),file('i/f/rat/RAT__LEQ0__NMR', ch4s_rats_RATu_u_LEQ0u_u_NMR)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__LEQ0__NMR', aHLu_FALSITY)).
fof(3, axiom,![X2]:![X3]:((p(s(t_bool,X3))=>p(s(t_bool,X2)))=>((p(s(t_bool,X2))=>p(s(t_bool,X3)))=>s(t_bool,X3)=s(t_bool,X2))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(19, axiom,![X10]:![X11]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X10))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X10))))|s(t_h4s_integers_int,X11)=s(t_h4s_integers_int,X10))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_integers_INTu_u_LEu_u_LT)).
fof(20, axiom,![X1]:(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_integers_int,h4s_rats_ratu_u_nmr(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)))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_rats_RATu_u_EQ0u_u_NMR)).
fof(21, axiom,![X1]: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)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_rats_ratu_u_nmr(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))))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_rats_RATu_u_LES0u_u_NMR)).
fof(23, axiom,![X12]:![X1]:(p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X12))))<=>(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X12))))|s(t_h4s_rats_rat,X1)=s(t_h4s_rats_rat,X12))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_rats_ratu_u_lequ_u_def)).
fof(24, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/rat/RAT__LEQ0__NMR', aHLu_BOOLu_CASES)).
fof(25, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__LEQ0__NMR', aHLu_TRUTH)).
fof(27, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
