# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(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,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_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,X4),s(t_h4s_integers_int,X2)))))=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,X3),s(t_h4s_integers_int,X1)))))<=>(s(t_h4s_integers_int,X4)=s(t_h4s_integers_int,X3)&s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,X1))))),file('i/f/frac/FRAC__EQ', ch4s_fracs_FRACu_u_EQ)).
fof(23, axiom,![X14]:(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),X14))))))<=>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),X14)))))=s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),X14)),file('i/f/frac/FRAC__EQ', ah4s_fracs_fracu_u_biju_c1)).
fof(25, axiom,![X8]:![X18]:![X9]:![X10]:![X19]:![X17]:(s(t_h4s_pairs_prod(X8,X18),h4s_pairs_u_2c(s(X8,X10),s(X18,X9)))=s(t_h4s_pairs_prod(X8,X18),h4s_pairs_u_2c(s(X8,X17),s(X18,X19)))<=>(s(X8,X10)=s(X8,X17)&s(X18,X9)=s(X18,X19))),file('i/f/frac/FRAC__EQ', ah4s_pairs_CLOSEDu_u_PAIRu_u_EQ)).
fof(26, axiom,![X8]:![X18]:![X9]:![X10]:s(X18,h4s_pairs_snd(s(t_h4s_pairs_prod(X8,X18),h4s_pairs_u_2c(s(X8,X10),s(X18,X9)))))=s(X18,X9),file('i/f/frac/FRAC__EQ', ah4s_pairs_SND0)).
fof(28, axiom,p(s(t_bool,t)),file('i/f/frac/FRAC__EQ', aHLu_TRUTH)).
fof(31, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/frac/FRAC__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
