# 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,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_rats_rat,X1)))=s(t_bool,h4s_integers_intu_u_le(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_nmr(s(t_h4s_rats_rat,X1))))),file('i/f/rat/RAT__0LEQ__NMR', ch4s_rats_RATu_u_0LEQu_u_NMR)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__0LEQ__NMR', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__0LEQ__NMR', aHLu_FALSITY)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/rat/RAT__0LEQ__NMR', aHLu_BOOLu_CASES)).
fof(7, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/rat/RAT__0LEQ__NMR', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(20, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/rat/RAT__0LEQ__NMR', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(21, axiom,![X2]:(s(t_bool,X2)=s(t_bool,f)<=>~(p(s(t_bool,X2)))),file('i/f/rat/RAT__0LEQ__NMR', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(30, axiom,![X10]:![X11]:![X12]:((p(s(t_bool,X12))<=>s(t_bool,X11)=s(t_bool,X10))<=>((p(s(t_bool,X12))|(p(s(t_bool,X11))|p(s(t_bool,X10))))&((p(s(t_bool,X12))|(~(p(s(t_bool,X10)))|~(p(s(t_bool,X11)))))&((p(s(t_bool,X11))|(~(p(s(t_bool,X10)))|~(p(s(t_bool,X12)))))&(p(s(t_bool,X10))|(~(p(s(t_bool,X11)))|~(p(s(t_bool,X12))))))))),file('i/f/rat/RAT__0LEQ__NMR', ah4s_sats_dcu_u_eq)).
fof(35, axiom,![X13]:![X6]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X13))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X13))))|s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,X13))),file('i/f/rat/RAT__0LEQ__NMR', ah4s_integers_INTu_u_LEu_u_LT)).
fof(37, 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__0LEQ__NMR', ah4s_rats_RATu_u_EQ0u_u_NMR)).
fof(38, axiom,![X1]:s(t_bool,h4s_rats_ratu_u_les(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)))=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_rats_ratu_u_nmr(s(t_h4s_rats_rat,X1))))),file('i/f/rat/RAT__0LEQ__NMR', ah4s_rats_RATu_u_0LESu_u_NMR)).
fof(39, axiom,![X14]:![X1]:(p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X14))))<=>(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X14))))|s(t_h4s_rats_rat,X1)=s(t_h4s_rats_rat,X14))),file('i/f/rat/RAT__0LEQ__NMR', ah4s_rats_ratu_u_lequ_u_def)).
# SZS output end CNFRefutation
