# 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_integers_int,X3)=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_div(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_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_integers_intu_u_mul(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,X3))))),s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X3)))))))))))),file('i/f/frac/FRAC__DIV__CALCULATE', ch4s_fracs_FRACu_u_DIVu_u_CALCULATE)).
fof(2, axiom,![X5]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X5)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X5),s(t_h4s_integers_int,X6))),file('i/f/frac/FRAC__DIV__CALCULATE', ah4s_integers_INTu_u_MULu_u_COMM)).
fof(3, axiom,![X7]:![X5]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X5),s(t_h4s_integers_int,X7)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X5))),s(t_h4s_integers_int,X7))),file('i/f/frac/FRAC__DIV__CALCULATE', ah4s_integers_INTu_u_MULu_u_ASSOC)).
fof(4, axiom,![X6]:(~(s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>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_integers_abs(s(t_h4s_integers_int,X6))))))),file('i/f/frac/FRAC__DIV__CALCULATE', ah4s_intExtensions_INTu_u_ABSu_u_NOT0POS)).
fof(5, axiom,![X8]:s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X8)))=s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X8))))),file('i/f/frac/FRAC__DIV__CALCULATE', ah4s_fracs_fracu_u_sgnu_u_def)).
fof(6, axiom,![X9]:![X8]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_div(s(t_h4s_fracs_frac,X8),s(t_h4s_fracs_frac,X9)))=s(t_h4s_fracs_frac,h4s_fracs_fracu_u_mul(s(t_h4s_fracs_frac,X8),s(t_h4s_fracs_frac,h4s_fracs_fracu_u_minv(s(t_h4s_fracs_frac,X9))))),file('i/f/frac/FRAC__DIV__CALCULATE', ah4s_fracs_fracu_u_divu_u_def)).
fof(7, axiom,![X10]:![X11]:(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,X10))))=>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,X11),s(t_h4s_integers_int,X10)))))))=s(t_h4s_integers_int,X11)),file('i/f/frac/FRAC__DIV__CALCULATE', ah4s_fracs_NMR)).
fof(8, axiom,![X8]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_minv(s(t_h4s_fracs_frac,X8)))=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,X8))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X8))))),s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X8))))))))),file('i/f/frac/FRAC__DIV__CALCULATE', ah4s_fracs_fracu_u_minvu_u_def)).
fof(9, axiom,![X9]:![X8]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_mul(s(t_h4s_fracs_frac,X8),s(t_h4s_fracs_frac,X9)))=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_nmr(s(t_h4s_fracs_frac,X8))),s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X9))))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X8))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X9))))))))),file('i/f/frac/FRAC__DIV__CALCULATE', ah4s_fracs_fracu_u_mulu_u_def)).
fof(10, axiom,![X10]:![X11]:(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,X10))))=>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,X11),s(t_h4s_integers_int,X10)))))))=s(t_h4s_integers_int,X10)),file('i/f/frac/FRAC__DIV__CALCULATE', ah4s_fracs_DNM)).
# SZS output end CNFRefutation
