# 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,X2)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>s(t_h4s_fracs_frac,h4s_fracs_fracu_u_minv(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_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_mul(s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X2))))))))),file('i/f/frac/FRAC__MINV__CALCULATE', ch4s_fracs_FRACu_u_MINVu_u_CALCULATE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/frac/FRAC__MINV__CALCULATE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/frac/FRAC__MINV__CALCULATE', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/frac/FRAC__MINV__CALCULATE', aHLu_BOOLu_CASES)).
fof(31, axiom,![X13]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_minv(s(t_h4s_fracs_frac,X13)))=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_mul(s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X13))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X13))))),s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X13))))))))),file('i/f/frac/FRAC__MINV__CALCULATE', ah4s_fracs_fracu_u_minvu_u_def)).
fof(32, axiom,![X14]:![X15]:(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,X14))))=>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,X15),s(t_h4s_integers_int,X14)))))))=s(t_h4s_integers_int,X15)),file('i/f/frac/FRAC__MINV__CALCULATE', ah4s_fracs_NMR)).
fof(33, axiom,![X14]:![X15]:(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,X14))))=>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,X15),s(t_h4s_integers_int,X14)))))))=s(t_h4s_integers_int,X14)),file('i/f/frac/FRAC__MINV__CALCULATE', ah4s_fracs_DNM)).
fof(34, axiom,![X13]:s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X13)))=s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X13))))),file('i/f/frac/FRAC__MINV__CALCULATE', ah4s_fracs_fracu_u_sgnu_u_def)).
# SZS output end CNFRefutation
