# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(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,X1))))=>s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,h4s_fracs_absu_u_frac(s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))))=s(t_h4s_integers_int,X1)),file('i/f/frac/DNM', ch4s_fracs_DNM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/frac/DNM', aHLu_TRUTH)).
fof(6, axiom,![X6]:(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),X6))))))<=>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),X6)))))=s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),X6)),file('i/f/frac/DNM', ah4s_fracs_fracu_u_biju_c1)).
fof(7, axiom,![X7]:s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X7)))=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,X7))))),file('i/f/frac/DNM', ah4s_fracs_fracu_u_dnmu_u_def)).
fof(8, axiom,![X3]:![X8]:![X5]:![X4]:s(X8,h4s_pairs_snd(s(t_h4s_pairs_prod(X3,X8),h4s_pairs_u_2c(s(X3,X4),s(X8,X5)))))=s(X8,X5),file('i/f/frac/DNM', ah4s_pairs_SND0)).
fof(9, axiom,~(p(s(t_bool,f))),file('i/f/frac/DNM', aHLu_FALSITY)).
fof(10, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/frac/DNM', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
