# 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_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_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_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))))))))),file('i/f/frac/FRAC__NOT__EQ', ch4s_fracs_FRACu_u_NOTu_u_EQ)).
fof(28, axiom,![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__NOT__EQ', ah4s_fracs_FRACu_u_EQ)).
fof(30, axiom,![X10]:(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),X10))))))<=>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),X10)))))=s(t_h4s_pairs_prod(t_h4s_integers_int,t_h4s_integers_int),X10)),file('i/f/frac/FRAC__NOT__EQ', ah4s_fracs_fracu_u_biju_c1)).
fof(35, axiom,![X14]:![X22]:![X15]:![X16]:s(X22,h4s_pairs_snd(s(t_h4s_pairs_prod(X14,X22),h4s_pairs_u_2c(s(X14,X16),s(X22,X15)))))=s(X22,X15),file('i/f/frac/FRAC__NOT__EQ', ah4s_pairs_SND0)).
fof(49, axiom,p(s(t_bool,t)),file('i/f/frac/FRAC__NOT__EQ', aHLu_TRUTH)).
fof(52, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/frac/FRAC__NOT__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
