# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(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_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X1)))))),file('i/f/frac/FRAC__DNMPOS', ch4s_fracs_FRACu_u_DNMPOS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/frac/FRAC__DNMPOS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/frac/FRAC__DNMPOS', aHLu_FALSITY)).
fof(8, axiom,![X5]:(p(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_pairs_snd(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),X5))))))<=>s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_fracs_repu_u_frac(s(t_h4s_fracs_frac,h4s_fracs_absu_u_frac(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),X5)))))=s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),X5)),file('i/f/frac/FRAC__DNMPOS', ah4s_fracs_fracu_u_biju_c1)).
fof(10, axiom,![X1]:s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X1)))=s(t_h4s_integers_int,h4s_pairs_snd(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_fracs_repu_u_frac(s(t_h4s_fracs_frac,X1))))),file('i/f/frac/FRAC__DNMPOS', ah4s_fracs_fracu_u_dnmu_u_def)).
fof(11, axiom,![X7]:s(t_h4s_fracs_frac,h4s_fracs_absu_u_frac(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_fracs_repu_u_frac(s(t_h4s_fracs_frac,X7)))))=s(t_h4s_fracs_frac,X7),file('i/f/frac/FRAC__DNMPOS', ah4s_fracs_fracu_u_biju_c0)).
fof(12, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f0)),file('i/f/frac/FRAC__DNMPOS', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
