# 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_sgn(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,h4s_intextensions_sgn(s(t_h4s_integers_int,X2)))),file('i/f/frac/FRAC__SGN__CALCULATE', ch4s_fracs_FRACu_u_SGNu_u_CALCULATE)).
fof(7, axiom,![X6]:s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X6)))=s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X6))))),file('i/f/frac/FRAC__SGN__CALCULATE', ah4s_fracs_fracu_u_sgnu_u_def)).
fof(8, axiom,![X7]:![X8]:(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,X7))))=>s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(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,X8),s(t_h4s_integers_int,X7)))))))=s(t_h4s_integers_int,X8)),file('i/f/frac/FRAC__SGN__CALCULATE', ah4s_fracs_NMR)).
# SZS output end CNFRefutation
