# 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(23, axiom,![X20]:![X21]:![X22]:![X23]:(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,X21))))=>(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,X20))))=>(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,X23),s(t_h4s_integers_int,X21)))))=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,X22),s(t_h4s_integers_int,X20)))))<=>(s(t_h4s_integers_int,X23)=s(t_h4s_integers_int,X22)&s(t_h4s_integers_int,X21)=s(t_h4s_integers_int,X20))))),file('i/f/frac/DNM', ah4s_fracs_FRACu_u_EQ)).
fof(27, axiom,![X24]: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,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X24))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X24)))))))=s(t_h4s_fracs_frac,X24),file('i/f/frac/DNM', ah4s_fracs_FRAC)).
fof(28, axiom,![X24]: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,X24)))))),file('i/f/frac/DNM', ah4s_fracs_FRACu_u_DNMPOS)).
fof(36, axiom,![X24]:s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X24)))=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,X24))))),file('i/f/frac/DNM', ah4s_fracs_fracu_u_dnmu_u_def)).
fof(46, axiom,p(s(t_bool,t)),file('i/f/frac/DNM', aHLu_TRUTH)).
fof(50, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/frac/DNM', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
