# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(t_h4s_fracs_frac,t_h4s_fracs_frac),h4s_fracs_fracu_u_ainv)))),file('i/f/frac/FRAC__AINV__ONEONE', ch4s_fracs_FRACu_u_AINVu_u_ONEONE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/frac/FRAC__AINV__ONEONE', aHLu_TRUTH)).
fof(6, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/frac/FRAC__AINV__ONEONE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, 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_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X14)))))),file('i/f/frac/FRAC__AINV__ONEONE', ah4s_fracs_FRACu_u_DNMPOS)).
fof(11, axiom,![X15]:![X16]:(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,X15))))=>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,X16),s(t_h4s_integers_int,X15)))))))=s(t_h4s_integers_int,X16)),file('i/f/frac/FRAC__AINV__ONEONE', ah4s_fracs_NMR)).
fof(12, axiom,![X15]:![X16]:(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,X15))))=>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,X16),s(t_h4s_integers_int,X15)))))))=s(t_h4s_integers_int,X15)),file('i/f/frac/FRAC__AINV__ONEONE', ah4s_fracs_DNM)).
fof(14, axiom,![X17]:![X2]:![X3]:(p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(X2,X17),X3))))<=>![X18]:![X19]:(s(X17,happ(s(t_fun(X2,X17),X3),s(X2,X18)))=s(X17,happ(s(t_fun(X2,X17),X3),s(X2,X19)))=>s(X2,X18)=s(X2,X19))),file('i/f/frac/FRAC__AINV__ONEONE', ah4s_bools_ONEu_u_ONEu_u_DEF)).
fof(15, axiom,![X20]:s(t_h4s_fracs_frac,happ(s(t_fun(t_h4s_fracs_frac,t_h4s_fracs_frac),h4s_fracs_fracu_u_ainv),s(t_h4s_fracs_frac,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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X20))))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X20))))))),file('i/f/frac/FRAC__AINV__ONEONE', ah4s_fracs_fracu_u_ainvu_u_def)).
fof(17, axiom,![X14]: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,X14))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X14)))))))=s(t_h4s_fracs_frac,X14),file('i/f/frac/FRAC__AINV__ONEONE', ah4s_fracs_FRAC)).
fof(18, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/frac/FRAC__AINV__ONEONE', aHLu_BOOLu_CASES)).
fof(19, axiom,![X8]:![X3]:(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X3)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X8)))<=>s(t_h4s_integers_int,X3)=s(t_h4s_integers_int,X8)),file('i/f/frac/FRAC__AINV__ONEONE', ah4s_integers_INTu_u_EQu_u_NEG)).
fof(20, axiom,~(p(s(t_bool,f))),file('i/f/frac/FRAC__AINV__ONEONE', aHLu_FALSITY)).
# SZS output end CNFRefutation
