# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_ainv(s(t_h4s_fracs_frac,h4s_fracs_fracu_u_ainv(s(t_h4s_fracs_frac,X1)))))=s(t_h4s_fracs_frac,X1),file('i/f/frac/FRAC__AINV__AINV', ch4s_fracs_FRACu_u_AINVu_u_AINV)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/frac/FRAC__AINV__AINV', aHLu_TRUTH)).
fof(5, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/frac/FRAC__AINV__AINV', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X5]: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,X5))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X5)))))))=s(t_h4s_fracs_frac,X5),file('i/f/frac/FRAC__AINV__AINV', ah4s_fracs_FRAC)).
fof(7, axiom,![X5]: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,X5)))))),file('i/f/frac/FRAC__AINV__AINV', ah4s_fracs_FRACu_u_DNMPOS)).
fof(8, axiom,![X6]:![X7]:(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,X6))))=>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,X7),s(t_h4s_integers_int,X6)))))))=s(t_h4s_integers_int,X7)),file('i/f/frac/FRAC__AINV__AINV', ah4s_fracs_NMR)).
fof(9, axiom,![X6]:![X7]:(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,X6))))=>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,X7),s(t_h4s_integers_int,X6)))))))=s(t_h4s_integers_int,X6)),file('i/f/frac/FRAC__AINV__AINV', ah4s_fracs_DNM)).
fof(10, axiom,![X1]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_ainv(s(t_h4s_fracs_frac,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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X1))))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X1))))))),file('i/f/frac/FRAC__AINV__AINV', ah4s_fracs_fracu_u_ainvu_u_def)).
fof(11, axiom,~(p(s(t_bool,f))),file('i/f/frac/FRAC__AINV__AINV', aHLu_FALSITY)).
fof(12, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/frac/FRAC__AINV__AINV', aHLu_BOOLu_CASES)).
fof(13, axiom,![X3]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X3)))))=s(t_h4s_integers_int,X3),file('i/f/frac/FRAC__AINV__AINV', ah4s_integers_INTu_u_NEGNEG)).
# SZS output end CNFRefutation
