# 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,happ(s(t_fun(t_h4s_nums_num,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(28, axiom,![X9]:![X6]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X9))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X9))))|s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,X9))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_integers_INTu_u_LEu_u_LT)).
fof(29, axiom,![X1]:(s(t_h4s_rats_rat,X1)=s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_nums_num,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(46, axiom,![X9]:![X6]:~((p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X9))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,X6)))))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_integers_INTu_u_LTu_u_ANTISYM)).
fof(47, axiom,![X9]:![X6]:(s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,X9)|(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X9))))|p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,X6)))))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_integers_INTu_u_LTu_u_TOTAL)).
fof(49, axiom,![X1]:s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_nums_num,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__LEQ0__NMR', ah4s_rats_RATu_u_0LESu_u_NMR)).
fof(51, axiom,![X1]:s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_nums_num,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(54, axiom,~(p(s(t_bool,f))),file('i/f/rat/RAT__LEQ0__NMR', aHLu_FALSITY)).
fof(61, axiom,![X7]:(s(t_bool,X7)=s(t_bool,f)<=>~(p(s(t_bool,X7)))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(67, axiom,![X26]:![X1]:(p(s(t_bool,h4s_rats_ratu_u_leq(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X26))))<=>(p(s(t_bool,h4s_rats_ratu_u_les(s(t_h4s_rats_rat,X1),s(t_h4s_rats_rat,X26))))|s(t_h4s_rats_rat,X1)=s(t_h4s_rats_rat,X26))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_rats_ratu_u_lequ_u_def)).
fof(70, axiom,s(t_h4s_rats_rat,happ(s(t_fun(t_h4s_nums_num,t_h4s_rats_rat),h4s_rats_ratu_u_ofu_u_num),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_rats_rat,h4s_rats_ratu_u_0),file('i/f/rat/RAT__LEQ0__NMR', ah4s_rats_ratu_u_ofu_u_numu_u_defu_u_computeu_c0)).
fof(72, axiom,p(s(t_bool,t)),file('i/f/rat/RAT__LEQ0__NMR', aHLu_TRUTH)).
fof(76, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/rat/RAT__LEQ0__NMR', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
