# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/frac/FRAC__SUB__CALCULATE', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/frac/FRAC__SUB__CALCULATE', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/frac/FRAC__SUB__CALCULATE', aHLu_BOOLu_CASES)).
fof(7, axiom,![X8]:![X9]:(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,X8))))=>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,X9),s(t_h4s_integers_int,X8)))))))=s(t_h4s_integers_int,X9)),file('i/f/frac/FRAC__SUB__CALCULATE', ah4s_fracs_NMR)).
fof(8, axiom,![X8]:![X9]:(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,X8))))=>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,X9),s(t_h4s_integers_int,X8)))))))=s(t_h4s_integers_int,X8)),file('i/f/frac/FRAC__SUB__CALCULATE', ah4s_fracs_DNM)).
fof(9, axiom,![X10]:![X11]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_sub(s(t_h4s_fracs_frac,X11),s(t_h4s_fracs_frac,X10)))=s(t_h4s_fracs_frac,h4s_fracs_fracu_u_add(s(t_h4s_fracs_frac,X11),s(t_h4s_fracs_frac,h4s_fracs_fracu_u_ainv(s(t_h4s_fracs_frac,X10))))),file('i/f/frac/FRAC__SUB__CALCULATE', ah4s_fracs_fracu_u_subu_u_def)).
fof(21, axiom,![X20]:![X22]:(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,X20))))=>s(t_h4s_fracs_frac,h4s_fracs_fracu_u_ainv(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,X22),s(t_h4s_integers_int,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,X22))),s(t_h4s_integers_int,X20)))))),file('i/f/frac/FRAC__SUB__CALCULATE', ah4s_fracs_FRACu_u_AINVu_u_CALCULATE)).
fof(25, axiom,![X10]:![X11]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_add(s(t_h4s_fracs_frac,X11),s(t_h4s_fracs_frac,X10)))=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_add(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,X11))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X10))))),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,X10))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X11))))))),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,X11))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X10))))))))),file('i/f/frac/FRAC__SUB__CALCULATE', ah4s_fracs_fracu_u_addu_u_def)).
fof(26, axiom,![X11]:s(t_h4s_fracs_frac,h4s_fracs_fracu_u_ainv(s(t_h4s_fracs_frac,X11)))=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,X11))))),s(t_h4s_integers_int,h4s_fracs_fracu_u_dnm(s(t_h4s_fracs_frac,X11))))))),file('i/f/frac/FRAC__SUB__CALCULATE', ah4s_fracs_fracu_u_ainvu_u_def)).
fof(82, axiom,![X13]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X13)))))=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_neg(s(t_h4s_integers_int,X13))))),file('i/f/frac/FRAC__SUB__CALCULATE', ah4s_integers_INTu_u_NEGu_u_RMUL)).
fof(83, axiom,![X13]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X13)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X13))))),file('i/f/frac/FRAC__SUB__CALCULATE', ah4s_integers_intu_u_sub0)).
fof(99, axiom,![X13]:![X6]:(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X13)))=s(t_h4s_integers_int,X13)<=>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)))),file('i/f/frac/FRAC__SUB__CALCULATE', ah4s_integers_INTu_u_ADDu_u_LIDu_u_UNIQ)).
fof(100, axiom,![X13]:![X6]:(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X13)))=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_integers_intu_u_neg(s(t_h4s_integers_int,X13)))),file('i/f/frac/FRAC__SUB__CALCULATE', ah4s_integers_INTu_u_LNEGu_u_UNIQ)).
fof(124, axiom,![X13]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X13)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X6))),file('i/f/frac/FRAC__SUB__CALCULATE', ah4s_integers_INTu_u_MULu_u_SYM)).
fof(133, conjecture,![X19]:![X20]:![X21]:![X22]:(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,X20))))=>(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,X19))))=>s(t_h4s_fracs_frac,h4s_fracs_fracu_u_sub(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,X22),s(t_h4s_integers_int,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,X21),s(t_h4s_integers_int,X19)))))))=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_sub(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X22),s(t_h4s_integers_int,X19))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X21),s(t_h4s_integers_int,X20))))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X20),s(t_h4s_integers_int,X19))))))))),file('i/f/frac/FRAC__SUB__CALCULATE', ch4s_fracs_FRACu_u_SUBu_u_CALCULATE)).
# SZS output end CNFRefutation
