%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM925^4 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:19:38 AM UTC 2026
% Result : Theorem 12.47s 2.39s
% Output : Refutation 12.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 69 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 175 ( 27 ~; 18 |; 6 &; 121 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 21 ( 20 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 954 ( 952 usr; 56 con; 0-9 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
code_code_numeral: $tType ).
thf(type_def_6,type,
complex: $tType ).
thf(type_def_7,type,
int: $tType ).
thf(type_def_8,type,
filter_complex: $tType ).
thf(type_def_9,type,
filter_nat: $tType ).
thf(type_def_10,type,
filter_real: $tType ).
thf(type_def_11,type,
list_int: $tType ).
thf(type_def_12,type,
nat: $tType ).
thf(type_def_13,type,
quickcheck_code_int: $tType ).
thf(type_def_14,type,
rat: $tType ).
thf(type_def_15,type,
real: $tType ).
thf(type_def_16,type,
produc975137661_int_o: $tType ).
thf(type_def_17,type,
produc1359518119umeral: $tType ).
thf(type_def_18,type,
product_prod_int_int: $tType ).
thf(type_def_19,type,
produc393999548nt_int: $tType ).
thf(type_def_20,type,
product_prod_nat_nat: $tType ).
thf(type_def_21,type,
produc167071911de_int: $tType ).
thf(type_def_22,type,
produc914805421l_real: $tType ).
thf(type_def_23,type,
produc1137372701nt_int: $tType ).
thf(type_def_24,type,
produc1322466333at_nat: $tType ).
thf(type_def_25,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
all: ( nat > $o ) > $o ).
thf(func_def_1,type,
archim856651990g_real: real > int ).
thf(func_def_2,type,
archim791455193or_rat: rat > int ).
thf(func_def_3,type,
archim1246769320r_real: real > int ).
thf(func_def_4,type,
big_co1971440592_o_nat: ( ( int > $o ) > nat ) > ( ( int > $o ) > $o ) > nat ).
thf(func_def_5,type,
big_co230513141nt_int: ( int > int ) > ( int > $o ) > int ).
thf(func_def_6,type,
big_co1024481617at_int: ( nat > int ) > ( nat > $o ) > int ).
thf(func_def_7,type,
big_co387207925at_nat: ( nat > nat ) > ( nat > $o ) > nat ).
thf(func_def_8,type,
big_co604158596t_real: ( nat > real ) > ( nat > $o ) > real ).
thf(func_def_9,type,
big_co1548731110nt_int: ( int > int ) > ( int > $o ) > int ).
thf(func_def_10,type,
big_co1705425894at_nat: ( nat > nat ) > ( nat > $o ) > nat ).
thf(func_def_11,type,
bijR_int_int: ( int > int > $o ) > produc975137661_int_o > $o ).
thf(func_def_12,type,
code_S1047413653umeral: code_code_numeral > code_code_numeral ).
thf(func_def_13,type,
code_c271388182l_size: code_code_numeral > nat ).
thf(func_def_14,type,
code_d418564891umeral: code_code_numeral > code_code_numeral > produc1359518119umeral ).
thf(func_def_15,type,
code_int_of: code_code_numeral > int ).
thf(func_def_16,type,
code_nat_of_aux: code_code_numeral > nat > nat ).
thf(func_def_17,type,
comple1092985777_int_o: ( ( int > $o ) > $o ) > int > $o ).
thf(func_def_18,type,
comple124823625p_real: ( real > $o ) > real ).
thf(func_def_19,type,
im: complex > real ).
thf(func_def_20,type,
re: complex > real ).
thf(func_def_21,type,
arg: complex > real ).
thf(func_def_22,type,
cis: real > complex ).
thf(func_def_23,type,
cnj: complex > complex ).
thf(func_def_24,type,
complex_1: real > real > complex ).
thf(func_def_25,type,
complex_size: complex > nat ).
thf(func_def_26,type,
expi: complex > complex ).
thf(func_def_27,type,
ii: complex ).
thf(func_def_28,type,
rcis: real > real > complex ).
thf(func_def_29,type,
bolzano_bisect: ( produc914805421l_real > $o ) > real > real > nat > produc914805421l_real ).
thf(func_def_30,type,
deriv_real: ( real > real ) > real > real > $o ).
thf(func_def_31,type,
adjust: int > product_prod_int_int > product_prod_int_int ).
thf(func_def_32,type,
div_di1218280263umeral: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_33,type,
div_div_int: int > int > int ).
thf(func_def_34,type,
div_div_nat: nat > nat > nat ).
thf(func_def_35,type,
div_di1430059507de_int: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_36,type,
div_mo1740067990umeral: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_37,type,
div_mod_int: int > int > int ).
thf(func_def_38,type,
div_mod_nat: nat > nat > nat ).
thf(func_def_39,type,
div_mo231679042de_int: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_40,type,
divmod_int: int > int > product_prod_int_int ).
thf(func_def_41,type,
divmod_int_rel: int > int > product_prod_int_int > $o ).
thf(func_def_42,type,
divmod_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_43,type,
divmod_nat_rel: nat > nat > product_prod_nat_nat > $o ).
thf(func_def_44,type,
negDivAlg: int > int > product_prod_int_int ).
thf(func_def_45,type,
negDivAlg_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_46,type,
negateSnd: product_prod_int_int > product_prod_int_int ).
thf(func_def_47,type,
pdivmod: int > int > product_prod_int_int ).
thf(func_def_48,type,
posDivAlg: int > int > product_prod_int_int ).
thf(func_def_49,type,
posDivAlg_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_50,type,
bnorRset: int > int > int > $o ).
thf(func_def_51,type,
rRset2norRR: ( int > $o ) > int > int > int ).
thf(func_def_52,type,
rsetR: int > ( int > $o ) > $o ).
thf(func_def_53,type,
is_RRset: ( int > $o ) > int > $o ).
thf(func_def_54,type,
noXRRset: int > int > int > $o ).
thf(func_def_55,type,
norRRset: int > int > $o ).
thf(func_def_56,type,
phi: int > nat ).
thf(func_def_57,type,
zcongm: int > int > int > $o ).
thf(func_def_58,type,
multInvPair: int > int > int > int > $o ).
thf(func_def_59,type,
setS: int > int > ( int > $o ) > $o ).
thf(func_def_60,type,
zEven: int > $o ).
thf(func_def_61,type,
zOdd: int > $o ).
thf(func_def_62,type,
fact_fact_int: int > int ).
thf(func_def_63,type,
fact_fact_nat: nat > nat ).
thf(func_def_64,type,
invers1025623611omplex: complex > complex > complex ).
thf(func_def_65,type,
inverse_divide_rat: rat > rat > rat ).
thf(func_def_66,type,
inverse_divide_real: real > real > real ).
thf(func_def_67,type,
invers1449016382omplex: complex > complex ).
thf(func_def_68,type,
inverse_inverse_rat: rat > rat ).
thf(func_def_69,type,
inverse_inverse_real: real > real ).
thf(func_def_70,type,
finite_card_int_o: ( ( int > $o ) > $o ) > nat ).
thf(func_def_71,type,
finite_card_int: ( int > $o ) > nat ).
thf(func_def_72,type,
finite_card_nat: ( nat > $o ) > nat ).
thf(func_def_73,type,
finite_finite_int_o: ( ( int > $o ) > $o ) > $o ).
thf(func_def_74,type,
finite_finite_int: ( int > $o ) > $o ).
thf(func_def_75,type,
finite_finite_nat: ( nat > $o ) > $o ).
thf(func_def_76,type,
pair_leq: produc1322466333at_nat > $o ).
thf(func_def_77,type,
pair_less: produc1322466333at_nat > $o ).
thf(func_def_78,type,
bezw: nat > nat > product_prod_int_int ).
thf(func_def_79,type,
gcd_gcd_int: int > int > int ).
thf(func_def_80,type,
gcd_gcd_nat: nat > nat > nat ).
thf(func_def_81,type,
abs_abs_int: int > int ).
thf(func_def_82,type,
abs_abs_rat: rat > rat ).
thf(func_def_83,type,
abs_abs_real: real > real ).
thf(func_def_84,type,
minus_1690775515umeral: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_85,type,
minus_minus_complex: complex > complex > complex ).
thf(func_def_86,type,
minus_minus_int: int > int > int ).
thf(func_def_87,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_88,type,
minus_534354567de_int: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_89,type,
minus_minus_rat: rat > rat > rat ).
thf(func_def_90,type,
minus_minus_real: real > real > real ).
thf(func_def_91,type,
one_on1645066479umeral: code_code_numeral ).
thf(func_def_92,type,
one_one_complex: complex ).
thf(func_def_93,type,
one_one_int: int ).
thf(func_def_94,type,
one_one_nat: nat ).
thf(func_def_95,type,
one_on1684967323de_int: quickcheck_code_int ).
thf(func_def_96,type,
one_one_rat: rat ).
thf(func_def_97,type,
one_one_real: real ).
thf(func_def_98,type,
plus_p1627245867umeral: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_99,type,
plus_plus_complex: complex > complex > complex ).
thf(func_def_100,type,
plus_plus_int: int > int > int ).
thf(func_def_101,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_102,type,
plus_p1446045655de_int: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_103,type,
plus_plus_rat: rat > rat > rat ).
thf(func_def_104,type,
plus_plus_real: real > real > real ).
thf(func_def_105,type,
sgn_sgn_complex: complex > complex ).
thf(func_def_106,type,
sgn_sgn_int: int > int ).
thf(func_def_107,type,
sgn_sgn_rat: rat > rat ).
thf(func_def_108,type,
sgn_sgn_real: real > real ).
thf(func_def_109,type,
times_1655362735umeral: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_110,type,
times_times_complex: complex > complex > complex ).
thf(func_def_111,type,
times_times_int: int > int > int ).
thf(func_def_112,type,
times_times_nat: nat > nat > nat ).
thf(func_def_113,type,
times_123202395de_int: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_114,type,
times_times_rat: rat > rat > rat ).
thf(func_def_115,type,
times_times_real: real > real > real ).
thf(func_def_116,type,
uminus473333897omplex: complex > complex ).
thf(func_def_117,type,
uminus_uminus_int: int > int ).
thf(func_def_118,type,
uminus_uminus_rat: rat > rat ).
thf(func_def_119,type,
uminus_uminus_real: real > real ).
thf(func_def_120,type,
zero_z126310315umeral: code_code_numeral ).
thf(func_def_121,type,
zero_zero_complex: complex ).
thf(func_def_122,type,
zero_zero_int: int ).
thf(func_def_123,type,
zero_zero_nat: nat ).
thf(func_def_124,type,
zero_z891286103de_int: quickcheck_code_int ).
thf(func_def_125,type,
zero_zero_rat: rat ).
thf(func_def_126,type,
zero_zero_real: real ).
thf(func_def_127,type,
the_int: ( int > $o ) > int ).
thf(func_def_128,type,
the_real: ( real > $o ) > real ).
thf(func_def_129,type,
the_Pr2103884470nt_int: ( product_prod_int_int > $o ) > product_prod_int_int ).
thf(func_def_130,type,
the_Pr588456374at_nat: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_131,type,
hilbert_Eps_int: ( int > $o ) > int ).
thf(func_def_132,type,
hilbert_Eps_real: ( real > $o ) > real ).
thf(func_def_133,type,
if_int: $o > int > int > int ).
thf(func_def_134,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_135,type,
if_real: $o > real > real > real ).
thf(func_def_136,type,
if_Pro1731782967nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).
thf(func_def_137,type,
if_Pro313124157l_real: $o > produc914805421l_real > produc914805421l_real > produc914805421l_real ).
thf(func_def_138,type,
multInv: int > int > int ).
thf(func_def_139,type,
d22set: int > int > $o ).
thf(func_def_140,type,
zfact: int > int ).
thf(func_def_141,type,
xzgcd: int > int > produc393999548nt_int ).
thf(func_def_142,type,
xzgcda: int > int > int > int > int > int > int > int > produc393999548nt_int ).
thf(func_def_143,type,
zcong: int > int > int > $o ).
thf(func_def_144,type,
zprime: int > $o ).
thf(func_def_145,type,
bit0: int > int ).
thf(func_def_146,type,
bit1: int > int ).
thf(func_def_147,type,
min: int ).
thf(func_def_148,type,
pls: int ).
thf(func_def_149,type,
int_ge_less_than: int > product_prod_int_int > $o ).
thf(func_def_150,type,
int_ge_less_than2: int > product_prod_int_int > $o ).
thf(func_def_151,type,
iszero_int: int > $o ).
thf(func_def_152,type,
iszero_rat: rat > $o ).
thf(func_def_153,type,
nat_1: int > nat ).
thf(func_def_154,type,
nat_aux: int > nat > nat ).
thf(func_def_155,type,
number1443263063umeral: int > code_code_numeral ).
thf(func_def_156,type,
number528085621omplex: int > complex ).
thf(func_def_157,type,
number_number_of_int: int > int ).
thf(func_def_158,type,
number_number_of_nat: int > nat ).
thf(func_def_159,type,
number1226105091de_int: int > quickcheck_code_int ).
thf(func_def_160,type,
number_number_of_rat: int > rat ).
thf(func_def_161,type,
number267125858f_real: int > real ).
thf(func_def_162,type,
pred: int > int ).
thf(func_def_163,type,
ring_1_Ints_real: real > $o ).
thf(func_def_164,type,
ring_11397209091omplex: int > complex ).
thf(func_def_165,type,
ring_1_of_int_int: int > int ).
thf(func_def_166,type,
ring_1_of_int_rat: int > rat ).
thf(func_def_167,type,
ring_1_of_int_real: int > real ).
thf(func_def_168,type,
succ: int > int ).
thf(func_def_169,type,
lazy_small_lazy_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_170,type,
legacy_zgcd: int > int > int ).
thf(func_def_171,type,
isCont156215680omplex: ( complex > complex ) > complex > $o ).
thf(func_def_172,type,
isCont_complex_real: ( complex > real ) > complex > $o ).
thf(func_def_173,type,
isCont_real_real: ( real > real ) > real > $o ).
thf(func_def_174,type,
at_complex: complex > filter_complex ).
thf(func_def_175,type,
at_real: real > filter_real ).
thf(func_def_176,type,
sequentially: filter_nat ).
thf(func_def_177,type,
tendst1507391555omplex: ( complex > complex ) > complex > filter_complex > $o ).
thf(func_def_178,type,
tendsto_complex_real: ( complex > real ) > real > filter_complex > $o ).
thf(func_def_179,type,
tendsto_nat_complex: ( nat > complex ) > complex > filter_nat > $o ).
thf(func_def_180,type,
tendsto_nat_real: ( nat > real ) > real > filter_nat > $o ).
thf(func_def_181,type,
tendsto_real_real: ( real > real ) > real > filter_real > $o ).
thf(func_def_182,type,
trivial_limit_nat: filter_nat > $o ).
thf(func_def_183,type,
upto_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_184,type,
log: real > real > real ).
thf(func_def_185,type,
powr: real > real > real ).
thf(func_def_186,type,
suc: nat > nat ).
thf(func_def_187,type,
nat_case_o: $o > ( nat > $o ) > nat > $o ).
thf(func_def_188,type,
nat_case_nat: nat > ( nat > nat ) > nat > nat ).
thf(func_def_189,type,
nat_size: nat > nat ).
thf(func_def_190,type,
semiri1619134803umeral: nat > code_code_numeral ).
thf(func_def_191,type,
semiri2020571505omplex: nat > complex ).
thf(func_def_192,type,
semiri1621563631at_int: nat > int ).
thf(func_def_193,type,
semiri984289939at_nat: nat > nat ).
thf(func_def_194,type,
semiri1424489471de_int: nat > quickcheck_code_int ).
thf(func_def_195,type,
semiri151668891at_rat: nat > rat ).
thf(func_def_196,type,
semiri132038758t_real: nat > real ).
thf(func_def_197,type,
size_s945831648umeral: code_code_numeral > nat ).
thf(func_def_198,type,
size_size_complex: complex > nat ).
thf(func_def_199,type,
size_size_list_int: list_int > nat ).
thf(func_def_200,type,
size_size_nat: nat > nat ).
thf(func_def_201,type,
nat_neg: int > $o ).
thf(func_def_202,type,
nat_is_nat: int > $o ).
thf(func_def_203,type,
nat_nat_set: ( int > $o ) > $o ).
thf(func_def_204,type,
nat_tr876908586nt_nat: ( int > nat ) > ( int > $o ) > $o ).
thf(func_def_205,type,
nat_tr160667106at_int: ( nat > int ) > ( nat > $o ) > $o ).
thf(func_def_206,type,
nat_tsub: int > int > int ).
thf(func_def_207,type,
frac: product_prod_int_int > $o ).
thf(func_def_208,type,
int_gcd: int > int > int ).
thf(func_def_209,type,
int_lcm: int > int > int ).
thf(func_def_210,type,
nat_gcd: nat > nat > nat ).
thf(func_def_211,type,
nat_gcd_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_212,type,
nat_lcm: nat > nat > nat ).
thf(func_def_213,type,
norm_frac: int > int > product_prod_int_int ).
thf(func_def_214,type,
norm_frac_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_215,type,
root: nat > real > real ).
thf(func_def_216,type,
sqrt: real > real ).
thf(func_def_217,type,
ord_less_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_218,type,
ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_219,type,
ord_le1304079648umeral: code_code_numeral > code_code_numeral > $o ).
thf(func_def_220,type,
ord_less_int: int > int > $o ).
thf(func_def_221,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_222,type,
ord_le1860547276de_int: quickcheck_code_int > quickcheck_code_int > $o ).
thf(func_def_223,type,
ord_less_rat: rat > rat > $o ).
thf(func_def_224,type,
ord_less_real: real > real > $o ).
thf(func_def_225,type,
ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_226,type,
ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_227,type,
ord_less_eq_o: $o > $o > $o ).
thf(func_def_228,type,
ord_le565307924umeral: code_code_numeral > code_code_numeral > $o ).
thf(func_def_229,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_230,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_231,type,
ord_le258702272de_int: quickcheck_code_int > quickcheck_code_int > $o ).
thf(func_def_232,type,
ord_less_eq_rat: rat > rat > $o ).
thf(func_def_233,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_234,type,
ord_max_nat: nat > nat > nat ).
thf(func_def_235,type,
ord_min_nat: nat > nat > nat ).
thf(func_def_236,type,
even_odd_even_int: int > $o ).
thf(func_def_237,type,
even_odd_even_nat: nat > $o ).
thf(func_def_238,type,
power_2100829034umeral: code_code_numeral > nat > code_code_numeral ).
thf(func_def_239,type,
power_power_complex: complex > nat > complex ).
thf(func_def_240,type,
power_power_int: int > nat > int ).
thf(func_def_241,type,
power_power_nat: nat > nat > nat ).
thf(func_def_242,type,
power_881366806de_int: quickcheck_code_int > nat > quickcheck_code_int ).
thf(func_def_243,type,
power_power_rat: rat > nat > rat ).
thf(func_def_244,type,
power_power_real: real > nat > real ).
thf(func_def_245,type,
coprime: nat > nat > $o ).
thf(func_def_246,type,
fact: nat > nat ).
thf(func_def_247,type,
prime: nat > $o ).
thf(func_def_248,type,
produc398918003_int_o: ( int > $o ) > ( int > $o ) > produc975137661_int_o ).
thf(func_def_249,type,
produc2136830103umeral: code_code_numeral > code_code_numeral > produc1359518119umeral ).
thf(func_def_250,type,
product_Pair_int_int: int > int > product_prod_int_int ).
thf(func_def_251,type,
produc282740534nt_int: int > product_prod_int_int > produc393999548nt_int ).
thf(func_def_252,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_253,type,
produc1318306967de_int: quickcheck_code_int > quickcheck_code_int > produc167071911de_int ).
thf(func_def_254,type,
produc865579683l_real: real > real > produc914805421l_real ).
thf(func_def_255,type,
produc883642259nt_int: product_prod_int_int > product_prod_int_int > produc1137372701nt_int ).
thf(func_def_256,type,
produc494345619at_nat: product_prod_nat_nat > product_prod_nat_nat > produc1322466333at_nat ).
thf(func_def_257,type,
produc713050258nt_int: ( int > int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_258,type,
product_fst_int_int: product_prod_int_int > int ).
thf(func_def_259,type,
product_fst_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_260,type,
produc1935615926l_real: produc914805421l_real > real ).
thf(func_def_261,type,
produc450523309_int_o: ( int > int > $o ) > product_prod_int_int > $o ).
thf(func_def_262,type,
produc1298267108nt_int: ( int > int > int ) > product_prod_int_int > int ).
thf(func_def_263,type,
produc1518849193nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_264,type,
produc1038563245_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_265,type,
produc1391996073at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_266,type,
produc595218619l_real: ( real > real > produc914805421l_real ) > produc914805421l_real > produc914805421l_real ).
thf(func_def_267,type,
produc141074865_int_o: ( product_prod_int_int > product_prod_int_int > $o ) > produc1137372701nt_int > $o ).
thf(func_def_268,type,
product_snd_int_int: product_prod_int_int > int ).
thf(func_def_269,type,
product_snd_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_270,type,
produc556554744l_real: produc914805421l_real > real ).
thf(func_def_271,type,
quickc666637781d_zero: int > list_int ).
thf(func_def_272,type,
quickc1265749348ro_rel: int > int > $o ).
thf(func_def_273,type,
quickc495462417de_int: quickcheck_code_int > quickcheck_code_int > produc167071911de_int ).
thf(func_def_274,type,
quickcheck_int_of: quickcheck_code_int > int ).
thf(func_def_275,type,
quickcheck_nat_of: quickcheck_code_int > nat ).
thf(func_def_276,type,
quickcheck_of_int: int > quickcheck_code_int ).
thf(func_def_277,type,
natceiling: real > nat ).
thf(func_def_278,type,
natfloor: real > nat ).
thf(func_def_279,type,
fract: int > int > rat ).
thf(func_def_280,type,
frct: product_prod_int_int > rat ).
thf(func_def_281,type,
field_1210416355s_real: real > $o ).
thf(func_def_282,type,
normalize: product_prod_int_int > product_prod_int_int ).
thf(func_def_283,type,
quotient_of: rat > product_prod_int_int ).
thf(func_def_284,type,
ratrel: produc1137372701nt_int > $o ).
thf(func_def_285,type,
ratreal: rat > real ).
thf(func_def_286,type,
real_int: int > real ).
thf(func_def_287,type,
real_nat: nat > real ).
thf(func_def_288,type,
vanishes: ( nat > rat ) > $o ).
thf(func_def_289,type,
dist_dist_complex: complex > complex > real ).
thf(func_def_290,type,
dist_dist_real: real > real > real ).
thf(func_def_291,type,
norm_norm_complex: complex > real ).
thf(func_def_292,type,
norm_norm_real: real > real ).
thf(func_def_293,type,
of_real_complex: real > complex ).
thf(func_def_294,type,
scaleR1652505878omplex: real > complex > complex ).
thf(func_def_295,type,
scaleR_scaleR_real: real > real > real ).
thf(func_def_296,type,
legendre: int > int > int ).
thf(func_def_297,type,
quadRes: int > int > $o ).
thf(func_def_298,type,
resSet: int > ( int > $o ) > $o ).
thf(func_def_299,type,
sr: int > int > $o ).
thf(func_def_300,type,
sRStar: int > int > $o ).
thf(func_def_301,type,
standardRes: int > int > int ).
thf(func_def_302,type,
dvd_dv174992974umeral: code_code_numeral > code_code_numeral > $o ).
thf(func_def_303,type,
dvd_dvd_complex: complex > complex > $o ).
thf(func_def_304,type,
dvd_dvd_int: int > int > $o ).
thf(func_def_305,type,
dvd_dvd_nat: nat > nat > $o ).
thf(func_def_306,type,
dvd_dv1760642554de_int: quickcheck_code_int > quickcheck_code_int > $o ).
thf(func_def_307,type,
dvd_dvd_rat: rat > rat > $o ).
thf(func_def_308,type,
dvd_dvd_real: real > real > $o ).
thf(func_def_309,type,
bseq_real: ( nat > real ) > $o ).
thf(func_def_310,type,
cauchy_complex: ( nat > complex ) > $o ).
thf(func_def_311,type,
cauchy_real: ( nat > real ) > $o ).
thf(func_def_312,type,
monoseq_real: ( nat > real ) > $o ).
thf(func_def_313,type,
z3div: int > int > int ).
thf(func_def_314,type,
z3mod: int > int > int ).
thf(func_def_315,type,
suminf_complex: ( nat > complex ) > complex ).
thf(func_def_316,type,
suminf_real: ( nat > real ) > real ).
thf(func_def_317,type,
summable_complex: ( nat > complex ) > $o ).
thf(func_def_318,type,
summable_real: ( nat > real ) > $o ).
thf(func_def_319,type,
sums_complex: ( nat > complex ) > complex > $o ).
thf(func_def_320,type,
sums_real: ( nat > real ) > real > $o ).
thf(func_def_321,type,
ord_at875362053st_int: int > int > int > $o ).
thf(func_def_322,type,
ord_at238088361st_nat: nat > nat > nat > $o ).
thf(func_def_323,type,
ord_at1589558736t_real: real > real > real > $o ).
thf(func_def_324,type,
ord_at641636577an_int: int > int > int > $o ).
thf(func_def_325,type,
ord_at4362885an_nat: nat > nat > nat > $o ).
thf(func_def_326,type,
ord_at1496968948n_real: real > real > real > $o ).
thf(func_def_327,type,
ord_atMost_nat: nat > nat > $o ).
thf(func_def_328,type,
ord_atMost_real: real > real > $o ).
thf(func_def_329,type,
ord_gr1297742076an_int: int > int > int > $o ).
thf(func_def_330,type,
ord_gr660468384an_nat: nat > nat > nat > $o ).
thf(func_def_331,type,
ord_gr788844697n_real: real > real > real > $o ).
thf(func_def_332,type,
ord_lessThan_nat: nat > nat > $o ).
thf(func_def_333,type,
ord_lessThan_real: real > real > $o ).
thf(func_def_334,type,
collect_int: ( int > $o ) > int > $o ).
thf(func_def_335,type,
collect_nat: ( nat > $o ) > nat > $o ).
thf(func_def_336,type,
collect_real: ( real > $o ) > real > $o ).
thf(func_def_337,type,
collec1347809874nt_int: ( product_prod_int_int > $o ) > product_prod_int_int > $o ).
thf(func_def_338,type,
collec1979865426at_nat: ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_339,type,
collec50511176nt_int: ( produc1137372701nt_int > $o ) > produc1137372701nt_int > $o ).
thf(func_def_340,type,
image_int_int_o: ( int > int > $o ) > ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_341,type,
image_int_int: ( int > int ) > ( int > $o ) > int > $o ).
thf(func_def_342,type,
image_int_nat: ( int > nat ) > ( int > $o ) > nat > $o ).
thf(func_def_343,type,
image_nat_int: ( nat > int ) > ( nat > $o ) > int > $o ).
thf(func_def_344,type,
image_nat_nat: ( nat > nat ) > ( nat > $o ) > nat > $o ).
thf(func_def_345,type,
arccos: real > real ).
thf(func_def_346,type,
arcsin: real > real ).
thf(func_def_347,type,
arctan: real > real ).
thf(func_def_348,type,
cos: real > real ).
thf(func_def_349,type,
cos_coeff: nat > real ).
thf(func_def_350,type,
diffs_real: ( nat > real ) > nat > real ).
thf(func_def_351,type,
exp_real: real > real ).
thf(func_def_352,type,
ln: real > real ).
thf(func_def_353,type,
pi: real ).
thf(func_def_354,type,
sin: real > real ).
thf(func_def_355,type,
sin_coeff: nat > real ).
thf(func_def_356,type,
tan: real > real ).
thf(func_def_357,type,
twoSqu1152398899sum2sq: int > $o ).
thf(func_def_358,type,
twoSqu2072599593sum2sq: product_prod_int_int > int ).
thf(func_def_359,type,
accp_int: ( int > int > $o ) > int > $o ).
thf(func_def_360,type,
accp_P2006205492nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).
thf(func_def_361,type,
accp_P490777396at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_362,type,
pred_nat: product_prod_nat_nat > $o ).
thf(func_def_363,type,
inv: int > int > int ).
thf(func_def_364,type,
wset: int > int > int > $o ).
thf(func_def_365,type,
member_int_o: ( int > $o ) > ( ( int > $o ) > $o ) > $o ).
thf(func_def_366,type,
member_int: int > ( int > $o ) > $o ).
thf(func_def_367,type,
member_nat: nat > ( nat > $o ) > $o ).
thf(func_def_368,type,
member_real: real > ( real > $o ) > $o ).
thf(func_def_369,type,
member1329254762_int_o: produc975137661_int_o > ( produc975137661_int_o > $o ) > $o ).
thf(func_def_370,type,
member2143287562nt_int: produc1137372701nt_int > ( produc1137372701nt_int > $o ) > $o ).
thf(func_def_371,type,
member180897546at_nat: produc1322466333at_nat > ( produc1322466333at_nat > $o ) > $o ).
thf(func_def_372,type,
m: int ).
thf(func_def_373,type,
m1: int ).
thf(func_def_374,type,
n: nat ).
thf(func_def_375,type,
r: int ).
thf(func_def_376,type,
s1: int ).
thf(func_def_377,type,
s: int ).
thf(func_def_378,type,
sa: int ).
thf(func_def_379,type,
t: int ).
thf(func_def_380,type,
tn: nat ).
thf(func_def_381,type,
v: int ).
thf(func_def_382,type,
w: int ).
thf(func_def_383,type,
x: int ).
thf(func_def_384,type,
y: int ).
thf(func_def_386,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_387,type,
vAND: $o > $o > $o ).
thf(func_def_388,type,
vIMP: $o > $o > $o ).
thf(func_def_389,type,
vNOT: $o > $o ).
thf(func_def_390,type,
vOR: $o > $o > $o ).
thf(func_def_393,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_394,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_395,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_396,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_397,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_398,type,
sP0: nat > nat > ( nat > int ) > $o ).
thf(func_def_399,type,
sP1: int > int > ( int > $o ) > $o ).
thf(func_def_400,type,
sP2: int > int > ( int > $o ) > $o ).
thf(func_def_401,type,
sP3: nat > nat > ( nat > $o ) > $o ).
thf(func_def_402,type,
sP4: int > int > ( int > $o ) > $o ).
thf(func_def_403,type,
sP5: int > int > ( int > $o ) > $o ).
thf(func_def_404,type,
sP6: nat > nat > ( nat > $o ) > $o ).
thf(func_def_405,type,
sP7: int > int > $o ).
thf(func_def_406,type,
sP8: real > nat > real > $o ).
thf(func_def_407,type,
sP9: real > real > ( real > real ) > ( real > real ) > $o ).
thf(func_def_408,type,
sP10: int > ( int > $o ) > $o ).
thf(func_def_409,type,
sP11: nat > product_prod_nat_nat > $o ).
thf(func_def_410,type,
sP12: ( produc914805421l_real > $o ) > $o ).
thf(func_def_411,type,
sP13: ( produc914805421l_real > $o ) > $o ).
thf(func_def_412,type,
sP14: nat > real > ( nat > real > real ) > $o ).
thf(func_def_413,type,
sP15: nat > real > ( nat > real > real ) > $o ).
thf(func_def_414,type,
sP16: nat > real > ( nat > real > real ) > $o ).
thf(func_def_415,type,
sP17: nat > real > ( nat > real > real ) > $o ).
thf(func_def_416,type,
sP18: nat > real > ( nat > real > real ) > $o ).
thf(func_def_417,type,
sP19: nat > real > ( nat > real > real ) > $o ).
thf(func_def_418,type,
sP20: ( int > $o ) > int > int > $o ).
thf(func_def_419,type,
sP21: ( int > $o ) > int > int > $o ).
thf(func_def_420,type,
sP22: ( int > $o ) > int > int > $o ).
thf(func_def_421,type,
sP23: real > real > ( real > real ) > $o ).
thf(func_def_422,type,
sP24: real > real > ( real > real ) > $o ).
thf(func_def_423,type,
sP25: real > real > ( real > real ) > $o ).
thf(func_def_424,type,
sP26: ( int > $o ) > int > ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_425,type,
sP27: ( int > $o ) > int > ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_426,type,
sK28: int > ( int > $o ) > int ).
thf(func_def_427,type,
sK29: int > nat ).
thf(func_def_428,type,
sK30: nat > nat > nat ).
thf(func_def_429,type,
sK31: ( int > $o ) > nat ).
thf(func_def_430,type,
sK32: ( int > $o ) > int ).
thf(func_def_431,type,
sK33: ( int > $o ) > int ).
thf(func_def_432,type,
sK34: ( int > $o ) > nat ).
thf(func_def_433,type,
sK35: int > int > nat ).
thf(func_def_434,type,
sK36: nat > real > real ).
thf(func_def_435,type,
sK37: nat > real > real ).
thf(func_def_436,type,
sK38: int > nat ).
thf(func_def_437,type,
sK39: int > nat ).
thf(func_def_438,type,
sK40: int > nat ).
thf(func_def_439,type,
sK41: int > ( int > $o ) > int ).
thf(func_def_440,type,
sK42: nat > nat > nat ).
thf(func_def_441,type,
sK43: ( int > $o ) > ( int > $o ) > int ).
thf(func_def_442,type,
sK44: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_443,type,
sK45: ( nat > $o ) > nat > nat ).
thf(func_def_444,type,
sK46: int > ( int > $o ) > int ).
thf(func_def_445,type,
sK47: int ).
thf(func_def_446,type,
sK48: int ).
thf(func_def_447,type,
sK49: int ).
thf(func_def_448,type,
sK50: int ).
thf(func_def_449,type,
sK51: int ).
thf(func_def_450,type,
sK52: ( nat > nat ) > nat ).
thf(func_def_451,type,
sK53: ( nat > nat ) > nat ).
thf(func_def_452,type,
sK54: ( nat > $o ) > nat > nat ).
thf(func_def_453,type,
sK55: int ).
thf(func_def_454,type,
sK56: int ).
thf(func_def_455,type,
sK57: int ).
thf(func_def_456,type,
sK58: nat > ( nat > $o ) > nat ).
thf(func_def_457,type,
sK59: nat > ( nat > $o ) > nat ).
thf(func_def_458,type,
sK60: int > ( int > $o ) > int ).
thf(func_def_459,type,
sK61: int > ( int > $o ) > int ).
thf(func_def_460,type,
sK62: rat > ( rat > $o ) > rat ).
thf(func_def_461,type,
sK63: rat > ( rat > $o ) > rat ).
thf(func_def_462,type,
sK64: quickcheck_code_int > ( quickcheck_code_int > $o ) > quickcheck_code_int ).
thf(func_def_463,type,
sK65: quickcheck_code_int > ( quickcheck_code_int > $o ) > quickcheck_code_int ).
thf(func_def_464,type,
sK66: complex > ( complex > $o ) > complex ).
thf(func_def_465,type,
sK67: complex > ( complex > $o ) > complex ).
thf(func_def_466,type,
sK68: real > ( real > $o ) > real ).
thf(func_def_467,type,
sK69: real > ( real > $o ) > real ).
thf(func_def_468,type,
sK70: code_code_numeral > ( code_code_numeral > $o ) > code_code_numeral ).
thf(func_def_469,type,
sK71: code_code_numeral > ( code_code_numeral > $o ) > code_code_numeral ).
thf(func_def_470,type,
sK72: int > int > int ).
thf(func_def_471,type,
sK73: int > int ).
thf(func_def_472,type,
sK74: nat > nat > ( nat > $o ) > nat ).
thf(func_def_473,type,
sK75: nat > nat > ( nat > $o ) > nat ).
thf(func_def_474,type,
sK76: int > int > int > int ).
thf(func_def_475,type,
sK77: int ).
thf(func_def_476,type,
sK78: int ).
thf(func_def_477,type,
sK79: int ).
thf(func_def_478,type,
sK80: int ).
thf(func_def_479,type,
sK81: int > ( int > $o ) > int ).
thf(func_def_480,type,
sK82: int > int ).
thf(func_def_481,type,
sK83: int > int > int ).
thf(func_def_482,type,
sK84: ( nat > $o ) > int ).
thf(func_def_483,type,
sK85: ( nat > $o ) > int ).
thf(func_def_484,type,
sK86: int > ( nat > $o ) > nat ).
thf(func_def_485,type,
sK87: int > int > int ).
thf(func_def_486,type,
sK88: nat > ( nat > int ) > int > nat ).
thf(func_def_487,type,
sK89: nat > ( nat > int ) > nat ).
thf(func_def_488,type,
sK90: nat > ( nat > int ) > int > nat ).
thf(func_def_489,type,
sK91: nat > ( nat > int ) > nat ).
thf(func_def_490,type,
sK92: int > int ).
thf(func_def_491,type,
sK93: int > int ).
thf(func_def_492,type,
sK94: nat > nat > ( nat > int ) > nat ).
thf(func_def_493,type,
sK95: nat > nat > ( nat > int ) > int > nat ).
thf(func_def_494,type,
sK96: int > int > ( int > $o ) > int ).
thf(func_def_495,type,
sK97: int > int > ( int > $o ) > int ).
thf(func_def_496,type,
sK98: int > int > ( int > $o ) > int ).
thf(func_def_497,type,
sK99: int > int > ( int > $o ) > int ).
thf(func_def_498,type,
sK100: int > ( int > $o ) > int ).
thf(func_def_499,type,
sK101: int ).
thf(func_def_500,type,
sK102: nat > nat > ( nat > $o ) > nat ).
thf(func_def_501,type,
sK103: nat > nat > ( nat > $o ) > nat ).
thf(func_def_502,type,
sK104: int > ( int > $o ) > int ).
thf(func_def_503,type,
sK105: ( int > $o ) > int ).
thf(func_def_504,type,
sK106: nat > nat > nat ).
thf(func_def_505,type,
sK107: int > int > int ).
thf(func_def_506,type,
sK108: int > int ).
thf(func_def_507,type,
sK109: int > int > int ).
thf(func_def_508,type,
sK110: nat > nat > nat ).
thf(func_def_509,type,
sK111: nat > nat ).
thf(func_def_510,type,
sK112: nat > nat > nat ).
thf(func_def_511,type,
sK113: int > int > nat ).
thf(func_def_512,type,
sK114: int > int > ( int > $o ) > int ).
thf(func_def_513,type,
sK115: int > int > ( int > $o ) > int ).
thf(func_def_514,type,
sK116: int > int > ( int > $o ) > int ).
thf(func_def_515,type,
sK117: int > int > ( int > $o ) > int ).
thf(func_def_516,type,
sK118: nat > nat > ( nat > $o ) > nat ).
thf(func_def_517,type,
sK119: int > int > ( int > int > $o ) > int ).
thf(func_def_518,type,
sK120: int > int > ( int > int > $o ) > int ).
thf(func_def_519,type,
sK121: int > int > ( int > int > $o ) > int ).
thf(func_def_520,type,
sK122: int > int > ( int > int > $o ) > int ).
thf(func_def_521,type,
sK123: real > nat > real ).
thf(func_def_522,type,
sK124: int > int > int ).
thf(func_def_523,type,
sK125: ( nat > nat ) > nat ).
thf(func_def_524,type,
sK126: nat > ( nat > $o ) > nat ).
thf(func_def_525,type,
sK127: nat > nat > nat ).
thf(func_def_526,type,
sK128: nat > nat > nat ).
thf(func_def_527,type,
sK129: nat > nat > ( nat > $o ) > nat ).
thf(func_def_528,type,
sK130: nat > nat > ( nat > $o ) > nat ).
thf(func_def_529,type,
sK131: nat > nat > nat > nat ).
thf(func_def_530,type,
sK132: ( nat > nat ) > nat ).
thf(func_def_531,type,
sK133: ( nat > nat ) > nat ).
thf(func_def_532,type,
sK134: nat > ( nat > $o ) > nat ).
thf(func_def_533,type,
sK135: nat > nat ).
thf(func_def_534,type,
sK136: nat > nat > nat > nat ).
thf(func_def_535,type,
sK137: nat > nat > nat > nat ).
thf(func_def_536,type,
sK138: nat > nat > nat > nat ).
thf(func_def_537,type,
sK139: nat > nat > nat ).
thf(func_def_538,type,
sK140: nat > ( nat > $o ) > nat ).
thf(func_def_539,type,
sK141: real > real > real > real ).
thf(func_def_540,type,
sK142: int > int ).
thf(func_def_541,type,
sK143: int > int ).
thf(func_def_542,type,
sK144: real > real > real > real ).
thf(func_def_543,type,
sK145: ( nat > real ) > nat ).
thf(func_def_544,type,
sK146: ( int > int > $o ) > int ).
thf(func_def_545,type,
sK147: ( int > int > $o ) > int ).
thf(func_def_546,type,
sK148: ( int > int > $o ) > int ).
thf(func_def_547,type,
sK149: ( int > int > $o ) > int ).
thf(func_def_548,type,
sK150: int > nat ).
thf(func_def_549,type,
sK151: int > nat ).
thf(func_def_550,type,
sK152: nat > nat > nat ).
thf(func_def_551,type,
sK153: ( nat > $o ) > nat ).
thf(func_def_552,type,
sK154: int > int ).
thf(func_def_553,type,
sK155: real > real ).
thf(func_def_554,type,
sK156: int > nat ).
thf(func_def_555,type,
sK157: real > real ).
thf(func_def_556,type,
sK158: real > real ).
thf(func_def_557,type,
sK159: real > real ).
thf(func_def_558,type,
sK160: real ).
thf(func_def_559,type,
sK161: real > real ).
thf(func_def_560,type,
sK162: real > real ).
thf(func_def_561,type,
sK163: real > real ).
thf(func_def_562,type,
sK164: real > real ).
thf(func_def_563,type,
sK165: real > real ).
thf(func_def_564,type,
sK166: real > nat ).
thf(func_def_565,type,
sK167: real > real > nat ).
thf(func_def_566,type,
sK168: real > nat ).
thf(func_def_567,type,
sK169: real > real > nat ).
thf(func_def_568,type,
sK170: real > nat ).
thf(func_def_569,type,
sK171: real > nat ).
thf(func_def_570,type,
sK172: real > nat ).
thf(func_def_571,type,
sK173: real > nat ).
thf(func_def_572,type,
sK174: nat > nat ).
thf(func_def_573,type,
sK175: nat > nat ).
thf(func_def_574,type,
sK176: nat > nat ).
thf(func_def_575,type,
sK177: nat > nat ).
thf(func_def_576,type,
sK178: real > nat ).
thf(func_def_577,type,
sK179: real > nat ).
thf(func_def_578,type,
sK180: nat > nat ).
thf(func_def_579,type,
sK181: nat > nat ).
thf(func_def_580,type,
sK182: real > real > real ).
thf(func_def_581,type,
sK183: real > real > real ).
thf(func_def_582,type,
sK184: real > real > real ).
thf(func_def_583,type,
sK185: real > real > real ).
thf(func_def_584,type,
sK186: real > nat ).
thf(func_def_585,type,
sK187: real > ( real > real ) > real ).
thf(func_def_586,type,
sK188: real > ( real > real ) > real > real ).
thf(func_def_587,type,
sK189: real > ( real > real ) > real > real ).
thf(func_def_588,type,
sK190: real > ( real > real ) > real > real ).
thf(func_def_589,type,
sK191: real > ( real > real ) > real ).
thf(func_def_590,type,
sK192: real > ( real > real ) > real ).
thf(func_def_591,type,
sK193: real > ( real > real ) > real ).
thf(func_def_592,type,
sK194: real > ( real > real ) > real ).
thf(func_def_593,type,
sK195: real > ( real > real ) > real ).
thf(func_def_594,type,
sK196: real > ( real > real ) > real ).
thf(func_def_595,type,
sK197: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_596,type,
sK198: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_597,type,
sK199: ( real > real ) > real ).
thf(func_def_598,type,
sK200: real > nat ).
thf(func_def_599,type,
sK201: ( nat > nat ) > nat ).
thf(func_def_600,type,
sK202: ( nat > nat ) > nat ).
thf(func_def_601,type,
sK203: nat > nat ).
thf(func_def_602,type,
sK204: nat > nat > nat ).
thf(func_def_603,type,
sK205: nat > nat > nat ).
thf(func_def_604,type,
sK206: real > real > real ).
thf(func_def_605,type,
sK207: ( nat > $o ) > nat ).
thf(func_def_606,type,
sK208: nat > nat ).
thf(func_def_607,type,
sK209: complex > real ).
thf(func_def_608,type,
sK210: complex > real ).
thf(func_def_609,type,
sK211: ( nat > $o ) > nat ).
thf(func_def_610,type,
sK212: nat > nat ).
thf(func_def_611,type,
sK213: ( nat > $o ) > nat ).
thf(func_def_612,type,
sK214: real > real > ( real > real ) > real ).
thf(func_def_613,type,
sK215: real > real > ( real > real ) > real ).
thf(func_def_614,type,
sK216: int > ( int > $o ) > int ).
thf(func_def_615,type,
sK217: int > ( int > $o ) > int ).
thf(func_def_616,type,
sK218: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_617,type,
sK219: int > ( int > $o ) > int ).
thf(func_def_618,type,
sK220: int > ( int > $o ) > int ).
thf(func_def_619,type,
sK221: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_620,type,
sK222: int > ( int > $o ) > int ).
thf(func_def_621,type,
sK223: int > ( int > $o ) > int ).
thf(func_def_622,type,
sK224: nat > nat > nat ).
thf(func_def_623,type,
sK225: nat > nat > nat ).
thf(func_def_624,type,
sK226: nat > nat > nat ).
thf(func_def_625,type,
sK227: nat > nat > nat ).
thf(func_def_626,type,
sK228: nat > nat > nat ).
thf(func_def_627,type,
sK229: complex > complex ).
thf(func_def_628,type,
sK230: complex > real ).
thf(func_def_629,type,
sK231: ( int > $o ) > int > int ).
thf(func_def_630,type,
sK232: ( int > $o ) > int > int ).
thf(func_def_631,type,
sK233: real ).
thf(func_def_632,type,
sK234: real ).
thf(func_def_633,type,
sK235: real ).
thf(func_def_634,type,
sK236: code_code_numeral > code_code_numeral ).
thf(func_def_635,type,
sK237: real ).
thf(func_def_636,type,
sK238: real ).
thf(func_def_637,type,
sK239: real ).
thf(func_def_638,type,
sK240: real ).
thf(func_def_639,type,
sK241: real ).
thf(func_def_640,type,
sK242: real ).
thf(func_def_641,type,
sK243: nat > nat > nat ).
thf(func_def_642,type,
sK244: nat > nat ).
thf(func_def_643,type,
sK245: nat > nat > nat > nat ).
thf(func_def_644,type,
sK246: nat > nat > nat ).
thf(func_def_645,type,
sK247: nat > nat > nat ).
thf(func_def_646,type,
sK248: nat > nat ).
thf(func_def_647,type,
sK249: nat > nat > nat ).
thf(func_def_648,type,
sK250: nat > nat > nat ).
thf(func_def_649,type,
sK251: nat > nat ).
thf(func_def_650,type,
sK252: nat > nat ).
thf(func_def_651,type,
sK253: nat > nat > nat ).
thf(func_def_652,type,
sK254: nat > nat > nat ).
thf(func_def_653,type,
sK255: nat > nat ).
thf(func_def_654,type,
sK256: ( produc914805421l_real > $o ) > real ).
thf(func_def_655,type,
sK257: ( produc914805421l_real > $o ) > real ).
thf(func_def_656,type,
sK258: ( produc914805421l_real > $o ) > real ).
thf(func_def_657,type,
sK259: ( produc914805421l_real > $o ) > real ).
thf(func_def_658,type,
sK260: ( produc914805421l_real > $o ) > real ).
thf(func_def_659,type,
sK261: ( produc914805421l_real > $o ) > real ).
thf(func_def_660,type,
sK262: ( int > $o ) > int ).
thf(func_def_661,type,
sK263: ( produc914805421l_real > $o ) > real ).
thf(func_def_662,type,
sK264: ( produc914805421l_real > $o ) > real ).
thf(func_def_663,type,
sK265: ( produc914805421l_real > $o ) > real ).
thf(func_def_664,type,
sK266: ( produc914805421l_real > $o ) > real ).
thf(func_def_665,type,
sK267: real > ( produc914805421l_real > $o ) > real ).
thf(func_def_666,type,
sK268: real > ( produc914805421l_real > $o ) > real ).
thf(func_def_667,type,
sK269: ( produc914805421l_real > $o ) > real ).
thf(func_def_668,type,
sK270: ( produc914805421l_real > $o ) > real ).
thf(func_def_669,type,
sK271: ( produc914805421l_real > $o ) > real ).
thf(func_def_670,type,
sK272: ( produc914805421l_real > $o ) > real ).
thf(func_def_671,type,
sK273: real > ( produc914805421l_real > $o ) > real ).
thf(func_def_672,type,
sK274: real > ( produc914805421l_real > $o ) > real ).
thf(func_def_673,type,
sK275: nat > nat > nat > nat ).
thf(func_def_674,type,
sK276: nat > nat > nat ).
thf(func_def_675,type,
sK277: nat > nat > nat ).
thf(func_def_676,type,
sK278: nat > nat > nat ).
thf(func_def_677,type,
sK279: nat > nat > nat ).
thf(func_def_678,type,
sK280: nat > nat > nat ).
thf(func_def_679,type,
sK281: nat > nat > nat ).
thf(func_def_680,type,
sK282: ( nat > real ) > nat ).
thf(func_def_681,type,
sK283: nat > ( nat > real ) > nat ).
thf(func_def_682,type,
sK284: nat > ( nat > real ) > nat ).
thf(func_def_683,type,
sK285: nat > ( nat > real ) > nat ).
thf(func_def_684,type,
sK286: real > int ).
thf(func_def_685,type,
sK287: real > int ).
thf(func_def_686,type,
sK288: real > int ).
thf(func_def_687,type,
sK289: real > int ).
thf(func_def_688,type,
sK290: real > int ).
thf(func_def_689,type,
sK291: nat > nat > nat > nat ).
thf(func_def_690,type,
sK292: nat > nat > nat > nat ).
thf(func_def_691,type,
sK293: nat > nat > nat > nat ).
thf(func_def_692,type,
sK294: nat > nat > nat > nat ).
thf(func_def_693,type,
sK295: int > int > int ).
thf(func_def_694,type,
sK296: int > int > int ).
thf(func_def_695,type,
sK297: int > int > int > int ).
thf(func_def_696,type,
sK298: int > int > int > int ).
thf(func_def_697,type,
sK299: nat > int > int ).
thf(func_def_698,type,
sK300: int > int > int > int ).
thf(func_def_699,type,
sK301: int > int > int ).
thf(func_def_700,type,
sK302: int > int > int > int > int > int > int > int > int > int ).
thf(func_def_701,type,
sK303: int > int > int > int > int > int > int > int > int > int ).
thf(func_def_702,type,
sK304: int > int > int > int > int ).
thf(func_def_703,type,
sK305: int > int > int > int > int ).
thf(func_def_704,type,
sK306: int > int > int > int > int ).
thf(func_def_705,type,
sK307: int > int > int > int ).
thf(func_def_706,type,
sK308: int > int > int > int ).
thf(func_def_707,type,
sK309: nat > int > int > int > int ).
thf(func_def_708,type,
sK310: nat > int > int > int > int ).
thf(func_def_709,type,
sK311: nat > int > int > int > int ).
thf(func_def_710,type,
sK312: int > int > int ).
thf(func_def_711,type,
sK313: int > int > int ).
thf(func_def_712,type,
sK314: real > real > real ).
thf(func_def_713,type,
sK315: real > real > real ).
thf(func_def_714,type,
sK316: real > real > ( real > real ) > real ).
thf(func_def_715,type,
sK317: real > real > ( real > real ) > real ).
thf(func_def_716,type,
sK318: int > nat ).
thf(func_def_717,type,
sK319: int > nat ).
thf(func_def_718,type,
sK320: ( int > $o ) > nat ).
thf(func_def_719,type,
sK321: ( int > $o ) > nat ).
thf(func_def_720,type,
sK322: ( nat > nat > $o ) > nat ).
thf(func_def_721,type,
sK323: ( nat > nat > $o ) > nat ).
thf(func_def_722,type,
sK324: ( nat > nat > $o ) > nat ).
thf(func_def_723,type,
sK325: nat > nat ).
thf(func_def_724,type,
sK326: ( nat > nat ) > nat ).
thf(func_def_725,type,
sK327: ( nat > nat ) > nat ).
thf(func_def_726,type,
sK328: ( int > int > $o ) > int ).
thf(func_def_727,type,
sK329: ( int > int > $o ) > int ).
thf(func_def_728,type,
sK330: ( int > int > $o ) > int ).
thf(func_def_729,type,
sK331: ( int > int > $o ) > int ).
thf(func_def_730,type,
sK332: ( int > int > $o ) > int ).
thf(func_def_731,type,
sK333: ( int > int > $o ) > int ).
thf(func_def_732,type,
sK334: int > int > int ).
thf(func_def_733,type,
sK335: int > ( int > $o ) > ( int > int ) > int ).
thf(func_def_734,type,
sK336: int > ( int > $o ) > ( int > int ) > int ).
thf(func_def_735,type,
sK337: ( nat > $o ) > nat ).
thf(func_def_736,type,
sK338: nat > ( nat > $o ) > nat ).
thf(func_def_737,type,
sK339: ( nat > $o ) > nat ).
thf(func_def_738,type,
sK340: nat > ( nat > $o ) > nat ).
thf(func_def_739,type,
sK341: nat > ( nat > $o ) > nat ).
thf(func_def_740,type,
sK342: ( nat > $o ) > nat ).
thf(func_def_741,type,
sK343: ( int > $o ) > int ).
thf(func_def_742,type,
sK344: nat > ( nat > $o ) > nat ).
thf(func_def_743,type,
sK345: ( nat > $o ) > nat ).
thf(func_def_744,type,
sK346: ( nat > $o ) > nat > nat ).
thf(func_def_745,type,
sK347: real > nat ).
thf(func_def_746,type,
sK348: real > nat ).
thf(func_def_747,type,
sK349: real > real > real ).
thf(func_def_748,type,
sK350: real > real > ( real > real ) > real ).
thf(func_def_749,type,
sK351: real > real > real ).
thf(func_def_750,type,
sK352: real > ( real > $o ) > real ).
thf(func_def_751,type,
sK353: ( real > $o ) > real > real ).
thf(func_def_752,type,
sK354: ( real > $o ) > real > real ).
thf(func_def_753,type,
sK355: ( real > $o ) > real > real ).
thf(func_def_754,type,
sK356: rat > rat ).
thf(func_def_755,type,
sK357: rat > rat ).
thf(func_def_756,type,
sK358: ( nat > nat > $o ) > nat ).
thf(func_def_757,type,
sK359: ( nat > nat > $o ) > nat ).
thf(func_def_758,type,
sK360: ( rat > $o ) > int ).
thf(func_def_759,type,
sK361: ( rat > $o ) > int ).
thf(func_def_760,type,
sK362: ( int > int ) > int ).
thf(func_def_761,type,
sK363: nat > ( nat > real ) > ( nat > real ) > nat ).
thf(func_def_762,type,
sK364: real > ( nat > real ) > real ).
thf(func_def_763,type,
sK365: real > ( nat > real ) > nat ).
thf(func_def_764,type,
sK366: ( nat > real ) > ( nat > real ) > nat ).
thf(func_def_765,type,
sK367: ( nat > real ) > nat ).
thf(func_def_766,type,
sK368: ( nat > real ) > nat ).
thf(func_def_767,type,
sK369: ( nat > real ) > nat ).
thf(func_def_768,type,
sK370: ( nat > real ) > ( nat > real ) > nat ).
thf(func_def_769,type,
sK371: ( nat > nat ) > nat ).
thf(func_def_770,type,
sK372: nat > ( nat > $o ) > nat ).
thf(func_def_771,type,
sK373: nat > ( nat > $o ) > nat ).
thf(func_def_772,type,
sK374: nat > ( nat > $o ) > nat ).
thf(func_def_773,type,
sK375: nat > ( nat > $o ) > nat ).
thf(func_def_774,type,
sK376: real > nat > real ).
thf(func_def_775,type,
sK377: real > nat > real ).
thf(func_def_776,type,
sK378: nat > real > real ).
thf(func_def_777,type,
sK379: nat > real > ( nat > real > real ) > nat ).
thf(func_def_778,type,
sK380: nat > real > ( nat > real > real ) > real ).
thf(func_def_779,type,
sK381: real > nat > real ).
thf(func_def_780,type,
sK382: real > nat > real ).
thf(func_def_781,type,
sK383: ( nat > real ) > nat > nat ).
thf(func_def_782,type,
sK384: real > nat > ( nat > real ) > ( real > real ) > real ).
thf(func_def_783,type,
sK385: ( nat > real ) > nat > nat ).
thf(func_def_784,type,
sK386: ( nat > real ) > nat > nat ).
thf(func_def_785,type,
sK387: ( real > real ) > ( nat > real > real ) > real > nat > real ).
thf(func_def_786,type,
sK388: ( nat > real > real ) > nat ).
thf(func_def_787,type,
sK389: ( nat > real > real ) > real ).
thf(func_def_788,type,
sK390: ( real > real ) > ( nat > real > real ) > nat > real > real ).
thf(func_def_789,type,
sK391: ( nat > real > real ) > nat ).
thf(func_def_790,type,
sK392: ( nat > real > real ) > real ).
thf(func_def_791,type,
sK393: ( real > real ) > ( nat > real > real ) > nat > real > real ).
thf(func_def_792,type,
sK394: ( nat > real > real ) > nat > real > nat ).
thf(func_def_793,type,
sK395: ( nat > real > real ) > nat > real > real ).
thf(func_def_794,type,
sK396: nat > real > ( nat > real > real ) > nat ).
thf(func_def_795,type,
sK397: nat > real > ( nat > real > real ) > real ).
thf(func_def_796,type,
sK398: real > nat > ( real > real ) > ( nat > real > real ) > real ).
thf(func_def_797,type,
sK399: nat > real > ( nat > real > real ) > nat ).
thf(func_def_798,type,
sK400: nat > real > ( nat > real > real ) > real ).
thf(func_def_799,type,
sK401: real > ( real > real ) > ( nat > real > real ) > nat > real ).
thf(func_def_800,type,
sK402: nat > real > ( nat > real > real ) > nat ).
thf(func_def_801,type,
sK403: nat > real > ( nat > real > real ) > real ).
thf(func_def_802,type,
sK404: real > nat > ( real > real ) > ( nat > real > real ) > real ).
thf(func_def_803,type,
sK405: nat > real > ( nat > real > real ) > nat ).
thf(func_def_804,type,
sK406: nat > real > ( nat > real > real ) > real ).
thf(func_def_805,type,
sK407: real > ( real > real ) > ( nat > real > real ) > nat > real ).
thf(func_def_806,type,
sK408: nat > real > ( nat > real > real ) > nat ).
thf(func_def_807,type,
sK409: nat > real > ( nat > real > real ) > real ).
thf(func_def_808,type,
sK410: real > nat > ( real > real ) > ( nat > real > real ) > real ).
thf(func_def_809,type,
sK411: nat > real > ( nat > real > real ) > nat ).
thf(func_def_810,type,
sK412: nat > real > ( nat > real > real ) > real ).
thf(func_def_811,type,
sK413: real > nat > ( real > real ) > ( nat > real > real ) > real ).
thf(func_def_812,type,
sK414: ( real > real ) > ( nat > real > real ) > real > nat > real ).
thf(func_def_813,type,
sK415: ( nat > real > real ) > nat ).
thf(func_def_814,type,
sK416: ( nat > real > real ) > real ).
thf(func_def_815,type,
sK417: ( real > real ) > ( nat > real > real ) > real > nat > real ).
thf(func_def_816,type,
sK418: ( nat > real > real ) > nat ).
thf(func_def_817,type,
sK419: ( nat > real > real ) > real ).
thf(func_def_818,type,
sK420: nat > real > ( nat > real ) > nat ).
thf(func_def_819,type,
sK421: nat > nat > ( nat > real > real ) > real > ( nat > real > real ) > nat ).
thf(func_def_820,type,
sK422: ( nat > real ) > real > nat ).
thf(func_def_821,type,
sK423: ( int > int ) > int ).
thf(func_def_822,type,
sK424: ( nat > real ) > real > nat ).
thf(func_def_823,type,
sK425: ( nat > real ) > nat ).
thf(func_def_824,type,
sK426: ( nat > real ) > real > real > nat ).
thf(func_def_825,type,
sK427: ( nat > $o ) > nat ).
thf(func_def_826,type,
sK428: ( nat > $o ) > nat ).
thf(func_def_827,type,
sK429: ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_828,type,
sK430: ( int > $o ) > ( int > $o ) > int ).
thf(func_def_829,type,
sK431: int > int > int > int ).
thf(func_def_830,type,
sK432: int > int > int ).
thf(func_def_831,type,
sK433: rat > product_prod_int_int ).
thf(func_def_832,type,
sK434: rat > int ).
thf(func_def_833,type,
sK435: rat > int ).
thf(func_def_834,type,
sK436: ( rat > $o ) > int ).
thf(func_def_835,type,
sK437: ( rat > $o ) > int ).
thf(func_def_836,type,
sK438: rat > int ).
thf(func_def_837,type,
sK439: rat > int ).
thf(func_def_838,type,
sK440: ( ( int > $o ) > $o ) > nat > int > $o ).
thf(func_def_839,type,
sK441: ( ( int > $o ) > $o ) > int > $o ).
thf(func_def_840,type,
sK442: nat > ( nat > real ) > real > nat ).
thf(func_def_841,type,
sK443: nat > ( nat > real ) > real > nat ).
thf(func_def_842,type,
sK444: nat > ( nat > real ) > ( nat > real ) > nat ).
thf(func_def_843,type,
sK445: ( nat > real ) > nat ).
thf(func_def_844,type,
sK446: ( nat > real ) > nat ).
thf(func_def_845,type,
sK447: ( nat > real ) > nat ).
thf(func_def_846,type,
sK448: ( nat > real ) > nat ).
thf(func_def_847,type,
sK449: real > real > ( produc914805421l_real > $o ) > real ).
thf(func_def_848,type,
sK450: ( nat > real ) > nat ).
thf(func_def_849,type,
sK451: ( nat > real ) > nat ).
thf(func_def_850,type,
sK452: ( nat > real ) > nat ).
thf(func_def_851,type,
sK453: ( nat > real ) > nat ).
thf(func_def_852,type,
sK454: ( nat > real ) > nat ).
thf(func_def_853,type,
sK455: ( nat > real ) > nat ).
thf(func_def_854,type,
sK456: nat > ( nat > $o ) > nat ).
thf(func_def_855,type,
sK457: nat > ( nat > $o ) > nat ).
thf(func_def_856,type,
sK458: nat > ( nat > $o ) > nat ).
thf(func_def_857,type,
sK459: nat > ( nat > $o ) > nat ).
thf(func_def_858,type,
sK460: real > ( real > real ) > real ).
thf(func_def_859,type,
sK461: real > ( real > real ) > real ).
thf(func_def_860,type,
sK462: real > ( real > real ) > real ).
thf(func_def_861,type,
sK463: int > int > ( int > $o ) > int ).
thf(func_def_862,type,
sK464: int > int > ( int > $o ) > int ).
thf(func_def_863,type,
sK465: int > int > ( int > $o ) > int ).
thf(func_def_864,type,
sK466: int > int > ( int > $o ) > int ).
thf(func_def_865,type,
sK467: int > int > ( int > $o ) > int ).
thf(func_def_866,type,
sK468: int > int > ( int > $o ) > int ).
thf(func_def_867,type,
sK469: int > int > ( int > $o ) > int ).
thf(func_def_868,type,
sK470: int > int > ( int > $o ) > int ).
thf(func_def_869,type,
sK471: int > int > ( int > $o ) > int ).
thf(func_def_870,type,
sK472: int > int > ( int > $o ) > int ).
thf(func_def_871,type,
sK473: int > int > ( int > $o ) > int ).
thf(func_def_872,type,
sK474: int > int > ( int > $o ) > int ).
thf(func_def_873,type,
sK475: int > int > ( int > $o ) > int ).
thf(func_def_874,type,
sK476: int > int > ( int > $o ) > int ).
thf(func_def_875,type,
sK477: int > int > ( int > $o ) > int ).
thf(func_def_876,type,
sK478: int > int > ( int > $o ) > int ).
thf(func_def_877,type,
sK479: int > int > ( int > $o ) > int ).
thf(func_def_878,type,
sK480: int > int > ( int > $o ) > int ).
thf(func_def_879,type,
sK481: int > int > ( int > $o ) > int ).
thf(func_def_880,type,
sK482: int > int > ( int > $o ) > int ).
thf(func_def_881,type,
sK483: int > int > ( int > $o ) > int ).
thf(func_def_882,type,
sK484: int > int > ( int > $o ) > int ).
thf(func_def_883,type,
sK485: int > int > ( int > $o ) > int ).
thf(func_def_884,type,
sK486: int > int > ( int > $o ) > int ).
thf(func_def_885,type,
sK487: int > ( int > $o ) > int ).
thf(func_def_886,type,
sK488: int > ( int > $o ) > int ).
thf(func_def_887,type,
sK489: int > ( int > $o ) > int ).
thf(func_def_888,type,
sK490: int > int > ( int > $o ) > int ).
thf(func_def_889,type,
sK491: int > int > ( int > $o ) > int ).
thf(func_def_890,type,
sK492: int > int > ( int > $o ) > int ).
thf(func_def_891,type,
sK493: int > int > ( int > $o ) > int ).
thf(func_def_892,type,
sK494: int > int > ( int > $o ) > int ).
thf(func_def_893,type,
sK495: int > int > ( int > $o ) > int ).
thf(func_def_894,type,
sK496: int > int > ( int > $o ) > int ).
thf(func_def_895,type,
sK497: int > int > ( int > $o ) > int ).
thf(func_def_896,type,
sK498: ( nat > real ) > real ).
thf(func_def_897,type,
sK499: nat > ( nat > real ) > nat ).
thf(func_def_898,type,
sK500: int > int > int ).
thf(func_def_899,type,
sK501: int > int > int ).
thf(func_def_900,type,
sK502: rat > ( nat > rat ) > nat ).
thf(func_def_901,type,
sK503: ( nat > rat ) > rat > nat ).
thf(func_def_902,type,
sK504: ( nat > rat ) > rat ).
thf(func_def_903,type,
sK505: nat > ( nat > rat ) > nat ).
thf(func_def_904,type,
sK506: rat > ( nat > rat ) > nat ).
thf(func_def_905,type,
sK507: ( nat > rat ) > rat ).
thf(func_def_906,type,
sK508: nat > ( nat > rat ) > nat ).
thf(func_def_907,type,
sK509: ( nat > real ) > real > real ).
thf(func_def_908,type,
sK510: ( nat > real ) > real > nat ).
thf(func_def_909,type,
sK511: ( nat > real ) > nat ).
thf(func_def_910,type,
sK512: real > real > ( real > real ) > real ).
thf(func_def_911,type,
sK513: ( real > real ) > ( real > real ) > real > real > real ).
thf(func_def_912,type,
sK514: real > real > ( real > real ) > real ).
thf(func_def_913,type,
sK515: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_914,type,
sK516: real > real > ( real > real ) > real ).
thf(func_def_915,type,
sK517: real > real > ( real > real ) > real ).
thf(func_def_916,type,
sK518: real > real > ( real > real ) > real ).
thf(func_def_917,type,
sK519: real > real > ( real > real ) > real ).
thf(func_def_918,type,
sK520: real > real > ( real > real ) > real ).
thf(func_def_919,type,
sK521: real > real > ( real > real ) > real ).
thf(func_def_920,type,
sK522: real > ( real > real ) > ( real > real ) > real ).
thf(func_def_921,type,
sK523: real > real > ( real > real ) > real ).
thf(func_def_922,type,
sK524: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_923,type,
sK525: real > real > ( real > real ) > real ).
thf(func_def_924,type,
sK526: real > real > ( real > real ) > real ).
thf(func_def_925,type,
sK527: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_926,type,
sK528: real > real > ( real > real ) > real ).
thf(func_def_927,type,
sK529: real > real > ( real > real ) > real ).
thf(func_def_928,type,
sK530: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_929,type,
sK531: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_930,type,
sK532: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_931,type,
sK533: ( int > $o ) > int > int ).
thf(func_def_932,type,
sK534: int > ( int > $o ) > int ).
thf(func_def_933,type,
sK535: int > ( int > $o ) > int ).
thf(func_def_934,type,
sK536: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_935,type,
sK537: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_936,type,
sK538: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_937,type,
sK539: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_938,type,
sK540: ( int > $o ) > int > int ).
thf(func_def_939,type,
sK541: int > ( int > $o ) > int ).
thf(func_def_940,type,
sK542: int > ( int > $o ) > int ).
thf(func_def_941,type,
sK543: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_942,type,
sK544: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_943,type,
sK545: ( nat > $o ) > nat ).
thf(func_def_944,type,
sK546: ( int > $o ) > int ).
thf(func_def_945,type,
sK547: ( int > $o ) > int ).
thf(func_def_946,type,
sK548: ( int > $o ) > int ).
thf(func_def_947,type,
sK549: ( int > $o ) > int ).
thf(func_def_948,type,
sK550: ( int > $o ) > int ).
thf(func_def_949,type,
sK551: ( int > $o ) > int ).
thf(func_def_950,type,
sK552: ( int > $o ) > int ).
thf(func_def_951,type,
sK553: ( int > $o ) > int ).
thf(func_def_952,type,
sK554: ( int > $o ) > int ).
thf(func_def_953,type,
sK555: ( nat > $o ) > nat ).
thf(f69,axiom,
( ( semiri1621563631at_int @ one_one_nat )
= one_one_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_int__1) ).
thf(f152,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_Pls__def) ).
thf(f280,axiom,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_279_number__of__is__id) ).
thf(f336,axiom,
one_one_nat != zero_zero_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_335_one__neq__zero) ).
thf(f348,axiom,
! [X0: nat,X1: int] :
( ( X1 != zero_zero_int )
=> ( ( power_power_int @ X1 @ X0 )
!= zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_347_field__power__not__zero) ).
thf(f875,axiom,
! [X0: int] :
( ( number_number_of_int @ ( succ @ X0 ) )
= ( plus_plus_int @ one_one_int @ ( number_number_of_int @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_874_number__of__succ) ).
thf(f2321,axiom,
! [X0: int,X1: int] :
( ( ( minus_minus_int @ X0 @ X1 )
= zero_zero_int )
<=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2320_right__minus__eq) ).
thf(f2414,axiom,
! [X0: int] :
( ( minus_minus_int @ X0 @ min )
= ( succ @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2413_diff__bin__simps_I2_J) ).
thf(f3477,axiom,
! [X0: nat,X1: nat] :
( ( ( uminus_uminus_int @ ( semiri1621563631at_int @ X0 ) )
= ( semiri1621563631at_int @ X1 ) )
<=> ( ( X1 = zero_zero_nat )
& ( X0 = zero_zero_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3476_negative__eq__positive) ).
thf(f3481,axiom,
( min
= ( uminus_uminus_int @ one_one_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3480_Int_OMin__def) ).
thf(f5212,conjecture,
( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f5213,negated_conjecture,
~ ( ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int ) ),
inference(negated_conjecture,[status(cth)],[f5212]) ).
thf(f12406,plain,
( zero_zero_int
= ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ),
inference(flattening,[],[f5213]) ).
thf(f12479,plain,
! [X0: nat,X1: int] :
( ( ( power_power_int @ X1 @ X0 )
!= zero_zero_int )
| ( zero_zero_int = X1 ) ),
inference(ennf_transformation,[],[f348]) ).
thf(f16784,plain,
! [X0: int,X1: int] :
( ( ( ( minus_minus_int @ X0 @ X1 )
= zero_zero_int )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ( zero_zero_int
!= ( minus_minus_int @ X0 @ X1 ) ) ) ),
inference(nnf_transformation,[],[f2321]) ).
thf(f17115,plain,
! [X0: nat,X1: nat] :
( ( ( ( uminus_uminus_int @ ( semiri1621563631at_int @ X0 ) )
= ( semiri1621563631at_int @ X1 ) )
| ( zero_zero_nat != X1 )
| ( zero_zero_nat != X0 ) )
& ( ( ( X1 = zero_zero_nat )
& ( X0 = zero_zero_nat ) )
| ( ( semiri1621563631at_int @ X1 )
!= ( uminus_uminus_int @ ( semiri1621563631at_int @ X0 ) ) ) ) ),
inference(nnf_transformation,[],[f3477]) ).
thf(f17116,plain,
! [X0: nat,X1: nat] :
( ( ( ( uminus_uminus_int @ ( semiri1621563631at_int @ X0 ) )
= ( semiri1621563631at_int @ X1 ) )
| ( zero_zero_nat != X1 )
| ( zero_zero_nat != X0 ) )
& ( ( ( X1 = zero_zero_nat )
& ( X0 = zero_zero_nat ) )
| ( ( semiri1621563631at_int @ X1 )
!= ( uminus_uminus_int @ ( semiri1621563631at_int @ X0 ) ) ) ) ),
inference(flattening,[],[f17115]) ).
thf(f17734,plain,
( one_one_int
= ( semiri1621563631at_int @ one_one_nat ) ),
inference(cnf_transformation,[],[f69]) ).
thf(f17841,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f152]) ).
thf(f18003,plain,
! [X0: int] :
( ( number_number_of_int @ X0 )
= X0 ),
inference(cnf_transformation,[],[f280]) ).
thf(f18090,plain,
one_one_nat != zero_zero_nat,
inference(cnf_transformation,[],[f336]) ).
thf(f18102,plain,
! [X0: nat,X1: int] :
( ( zero_zero_int
!= ( power_power_int @ X1 @ X0 ) )
| ( zero_zero_int = X1 ) ),
inference(cnf_transformation,[],[f12479]) ).
thf(f18708,plain,
! [X0: int] :
( ( plus_plus_int @ one_one_int @ ( number_number_of_int @ X0 ) )
= ( number_number_of_int @ ( succ @ X0 ) ) ),
inference(cnf_transformation,[],[f875]) ).
thf(f20505,plain,
! [X0: int,X1: int] :
( ( X0 = X1 )
| ( zero_zero_int
!= ( minus_minus_int @ X0 @ X1 ) ) ),
inference(cnf_transformation,[],[f16784]) ).
thf(f20627,plain,
! [X0: int] :
( ( succ @ X0 )
= ( minus_minus_int @ X0 @ min ) ),
inference(cnf_transformation,[],[f2414]) ).
thf(f22119,plain,
! [X0: nat,X1: nat] :
( ( ( semiri1621563631at_int @ X1 )
!= ( uminus_uminus_int @ ( semiri1621563631at_int @ X0 ) ) )
| ( zero_zero_nat = X0 ) ),
inference(cnf_transformation,[],[f17116]) ).
thf(f22125,plain,
( min
= ( uminus_uminus_int @ one_one_int ) ),
inference(cnf_transformation,[],[f3481]) ).
thf(f24550,plain,
( zero_zero_int
= ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ),
inference(cnf_transformation,[],[f12406]) ).
thf(f24611,plain,
! [X0: nat,X1: int] :
( ( pls
!= ( power_power_int @ X1 @ X0 ) )
| ( pls = X1 ) ),
inference(definition_unfolding,[],[f18102,f17841,f17841]) ).
thf(f24845,plain,
! [X0: int,X1: int] :
( ( pls
!= ( minus_minus_int @ X0 @ X1 ) )
| ( X0 = X1 ) ),
inference(definition_unfolding,[],[f20505,f17841]) ).
thf(f25938,plain,
( pls
= ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ),
inference(definition_unfolding,[],[f24550,f17841]) ).
thf(f28600,plain,
( ( pls != pls )
| ( ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) )
= pls ) ),
inference(constrained_superposition,[],[f24611,f25938]) ).
thf(f28603,plain,
( ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) )
= pls ),
inference(trivial_inequality_removal,[],[f28600]) ).
thf(f28712,plain,
! [X0: int] :
( ( pls
!= ( succ @ X0 ) )
| ( min = X0 ) ),
inference(constrained_superposition,[],[f24845,f20627]) ).
thf(f29056,plain,
! [X0: nat] :
( ( ( semiri1621563631at_int @ X0 )
!= ( uminus_uminus_int @ one_one_int ) )
| ( one_one_nat = zero_zero_nat ) ),
inference(constrained_superposition,[],[f22119,f17734]) ).
thf(f29057,plain,
! [X0: nat] :
( ( semiri1621563631at_int @ X0 )
!= ( uminus_uminus_int @ one_one_int ) ),
inference(forward_subsumption_resolution,[],[f29056,f18090]) ).
thf(f29058,plain,
! [X0: nat] :
( ( semiri1621563631at_int @ X0 )
!= min ),
inference(forward_demodulation,[],[f29057,f22125]) ).
thf(f39259,plain,
! [X0: int] :
( ( plus_plus_int @ one_one_int @ ( number_number_of_int @ X0 ) )
= ( succ @ X0 ) ),
inference(forward_demodulation,[],[f18708,f18003]) ).
thf(f39260,plain,
! [X0: int] :
( ( plus_plus_int @ one_one_int @ X0 )
= ( succ @ X0 ) ),
inference(forward_demodulation,[],[f39259,f18003]) ).
thf(f39267,plain,
( pls
= ( succ @ ( semiri1621563631at_int @ n ) ) ),
inference(constrained_superposition,[],[f39260,f28603]) ).
thf(f39290,plain,
( ( pls != pls )
| ( ( semiri1621563631at_int @ n )
= min ) ),
inference(constrained_superposition,[],[f28712,f39267]) ).
thf(f39292,plain,
( ( semiri1621563631at_int @ n )
= min ),
inference(trivial_inequality_removal,[],[f39290]) ).
thf(f39293,plain,
$false,
inference(forward_subsumption_resolution,[],[f39292,f29058]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM925^4 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n001.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 13:11:36 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.13/1.79 % (1211438)Will run a generic schedule for satisfiability detection.
% 7.13/1.79 % (1211444)% WARNING: option uhcvi not known.
% 7.13/1.79 % (1211444)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=650544274:i=135531:add=off:rawr=on_2997 on theBenchmark for (2997ds/135531Mi)
% 7.13/1.79 % (1211446)dis+10_1_sil=32000:sp=arity:random_seed=1467078375:i=103:fgj=on_2997 on theBenchmark for (2997ds/103Mi)
% 7.13/1.79 % (1211443)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2790980944_2997 on theBenchmark for (2997ds/0Mi)
% 7.13/1.79 % (1211445)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2488520530:i=88024:add=on:rawr=on_2997 on theBenchmark for (2997ds/88024Mi)
% 7.13/1.79 % (1211447)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1598617920:i=116_2997 on theBenchmark for (2997ds/116Mi)
% 7.13/1.79 % (1211448)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=689593163:i=131_2997 on theBenchmark for (2997ds/131Mi)
% 7.13/1.79 % (1211449)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1018353257:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2997 on theBenchmark for (2997ds/159Mi)
% 7.13/1.79 % (1211448)Instruction limit reached!
% 7.13/1.79 % (1211448)------------------------------
% 7.13/1.79 % (1211448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.13/1.79 % (1211448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.79 % (1211448)CaDiCaL version: 2.1.3
% 7.13/1.79 % (1211448)Termination reason: Instruction limit
% 7.13/1.79 % (1211448)Termination phase: Initialization
% 7.13/1.79 % (1211448)Time elapsed: 0.051 s
% 7.13/1.79 % (1211448)Peak memory usage: 18 MB
% 7.13/1.79 % (1211448)Instructions burned: 131 (million)
% 7.13/1.79 % (1211449)Instruction limit reached!
% 7.13/1.79 % (1211449)------------------------------
% 7.13/1.79 % (1211449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.13/1.79 % (1211449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.79 % (1211449)CaDiCaL version: 2.1.3
% 7.13/1.79 % (1211449)Termination reason: Instruction limit
% 7.13/1.79 % (1211449)Termination phase: Initialization
% 7.13/1.79 % (1211449)Time elapsed: 0.063 s
% 7.13/1.79 % (1211449)Peak memory usage: 18 MB
% 7.13/1.79 % (1211449)Instructions burned: 160 (million)
% 7.13/1.79 % (1211446)Instruction limit reached!
% 7.13/1.79 % (1211446)------------------------------
% 7.13/1.79 % (1211446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.13/1.79 % (1211446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.79 % (1211446)CaDiCaL version: 2.1.3
% 7.13/1.79 % (1211446)Termination reason: Instruction limit
% 7.13/1.79 % (1211446)Termination phase: Initialization
% 7.13/1.79 % (1211446)Time elapsed: 0.080 s
% 7.13/1.79 % (1211446)Peak memory usage: 17 MB
% 7.13/1.79 % (1211446)Instructions burned: 104 (million)
% 7.13/1.79 % (1211457)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3842314318:i=714:nm=2_2996 on theBenchmark for (2996ds/714Mi)
% 7.13/1.79 % (1211447)Instruction limit reached!
% 7.13/1.79 % (1211447)------------------------------
% 7.13/1.79 % (1211447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.13/1.79 % (1211447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/1.79 % (1211447)CaDiCaL version: 2.1.3
% 7.13/1.79 % (1211447)Termination reason: Instruction limit
% 7.13/1.79 % (1211447)Termination phase: Initialization
% 7.13/1.79 % (1211447)Time elapsed: 0.076 s
% 7.13/1.79 % (1211447)Peak memory usage: 17 MB
% 7.13/1.79 % (1211447)Instructions burned: 117 (million)
% 7.13/1.79 % (1211458)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3890305218:i=131:bd=preordered:fsd=on_2996 on theBenchmark for (2996ds/131Mi)
% 7.13/1.79 % (1211460)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2120563515:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2996 on theBenchmark for (2996ds/684Mi)
% 7.13/1.79 % (1211461)ott-21_1_sil=16000:fs=off:random_seed=460259147:i=180:av=off:fsr=off_2995 on theBenchmark for (2995ds/180Mi)
% 7.13/1.79 % (1211458)Instruction limit reached!
% 7.13/1.79 % (1211458)------------------------------
% 7.13/1.79 % (1211458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.13/1.79 % (1211458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211458)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211458)Termination reason: Instruction limit
% 12.47/2.39 % (1211458)Termination phase: Initialization
% 12.47/2.39 % (1211458)Time elapsed: 0.052 s
% 12.47/2.39 % (1211458)Peak memory usage: 18 MB
% 12.47/2.39 % (1211458)Instructions burned: 131 (million)
% 12.47/2.39 % (1211465)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1085054207:i=477:bd=all_2995 on theBenchmark for (2995ds/477Mi)
% 12.47/2.39 % (1211444)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.47/2.39 % (1211461)Instruction limit reached!
% 12.47/2.39 % (1211461)------------------------------
% 12.47/2.39 % (1211461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211461)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211461)Termination reason: Instruction limit
% 12.47/2.39 % (1211461)Termination phase: Initialization
% 12.47/2.39 % (1211461)Time elapsed: 0.140 s
% 12.47/2.39 % (1211461)Peak memory usage: 18 MB
% 12.47/2.39 % (1211461)Instructions burned: 180 (million)
% 12.47/2.39 % (1211467)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=849811583:fmbsr=1.3:i=865:ins=25_2994 on theBenchmark for (2994ds/865Mi)
% 12.47/2.39 % (1211457)Instruction limit reached!
% 12.47/2.39 % (1211457)------------------------------
% 12.47/2.39 % (1211457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211457)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211457)Termination reason: Instruction limit
% 12.47/2.39 % (1211457)Termination phase: Property scanning
% 12.47/2.39 % (1211457)Time elapsed: 0.302 s
% 12.47/2.39 % (1211457)Peak memory usage: 25 MB
% 12.47/2.39 % (1211457)Instructions burned: 716 (million)
% 12.47/2.39 % (1211460)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.47/2.39 % (1211469)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3041668603:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 12.47/2.39 % (1211460)Instruction limit reached!
% 12.47/2.39 % (1211460)------------------------------
% 12.47/2.39 % (1211460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211460)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211460)Termination reason: Instruction limit
% 12.47/2.39 % (1211460)Termination phase: Preprocessing 3
% 12.47/2.39 % (1211460)Time elapsed: 0.295 s
% 12.47/2.39 % (1211460)Peak memory usage: 23 MB
% 12.47/2.39 % (1211460)Instructions burned: 685 (million)
% 12.47/2.39 % (1211472)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=671798439:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 12.47/2.39 % (1211465)Instruction limit reached!
% 12.47/2.39 % (1211465)------------------------------
% 12.47/2.39 % (1211465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211465)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211465)Termination reason: Instruction limit
% 12.47/2.39 % (1211465)Termination phase: Property scanning
% 12.47/2.39 % (1211465)Time elapsed: 0.282 s
% 12.47/2.39 % (1211465)Peak memory usage: 19 MB
% 12.47/2.39 % (1211465)Instructions burned: 478 (million)
% 12.47/2.39 % (1211477)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1103898530:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 12.47/2.39 % Exception at run slice level
% 12.47/2.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.47/2.39 % (1211444)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.47/2.39 % (1211479)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=547906065:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 12.47/2.39 % (1211477)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.47/2.39 % (1211477)Instruction limit reached!
% 12.47/2.39 % (1211477)------------------------------
% 12.47/2.39 % (1211477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211477)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211477)Termination reason: Instruction limit
% 12.47/2.39 % (1211477)Termination phase: Preprocessing 3
% 12.47/2.39 % (1211477)Time elapsed: 0.157 s
% 12.47/2.39 % (1211477)Peak memory usage: 23 MB
% 12.47/2.39 % (1211477)Instructions burned: 694 (million)
% 12.47/2.39 % (1211481)fmb+10_1_sil=64000:random_seed=793758811:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 12.47/2.39 % (1211467)Instruction limit reached!
% 12.47/2.39 % (1211467)------------------------------
% 12.47/2.39 % (1211467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211467)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211467)Termination reason: Instruction limit
% 12.47/2.39 % (1211467)Termination phase: Property scanning
% 12.47/2.39 % (1211467)Time elapsed: 0.361 s
% 12.47/2.39 % (1211467)Peak memory usage: 24 MB
% 12.47/2.39 % (1211467)Instructions burned: 867 (million)
% 12.47/2.39 % (1211483)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=554737888:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 12.47/2.39 % (1211472)Instruction limit reached!
% 12.47/2.39 % (1211472)------------------------------
% 12.47/2.39 % (1211472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211472)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211472)Termination reason: Instruction limit
% 12.47/2.39 % (1211472)Termination phase: Property scanning
% 12.47/2.39 % (1211472)Time elapsed: 0.381 s
% 12.47/2.39 % (1211472)Peak memory usage: 24 MB
% 12.47/2.39 % (1211472)Instructions burned: 889 (million)
% 12.47/2.39 % (1211479)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.47/2.39 % (1211527)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=965237118:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 12.47/2.39 % (1211481)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.47/2.39 % (1211469)Instruction limit reached!
% 12.47/2.39 % (1211469)------------------------------
% 12.47/2.39 % (1211469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211469)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211469)Termination reason: Instruction limit
% 12.47/2.39 % (1211469)Termination phase: Property scanning
% 12.47/2.39 % (1211469)Time elapsed: 0.501 s
% 12.47/2.39 % (1211469)Peak memory usage: 25 MB
% 12.47/2.39 % (1211469)Instructions burned: 1180 (million)
% 12.47/2.39 % (1211565)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=798269330:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 12.47/2.39 % Exception at run slice level
% 12.47/2.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.47/2.39 % (1211579)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4164939030:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 12.47/2.39 % (1211479)Instruction limit reached!
% 12.47/2.39 % (1211479)------------------------------
% 12.47/2.39 % (1211479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211479)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211479)Termination reason: Instruction limit
% 12.47/2.39 % (1211479)Termination phase: Property scanning
% 12.47/2.39 % (1211479)Time elapsed: 0.379 s
% 12.47/2.39 % (1211479)Peak memory usage: 24 MB
% 12.47/2.39 % (1211479)Instructions burned: 879 (million)
% 12.47/2.39 % (1211583)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1547349642:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 12.47/2.39 % (1211565)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.47/2.39 % (1211579)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.47/2.39 % (1211527)Instruction limit reached!
% 12.47/2.39 % (1211527)------------------------------
% 12.47/2.39 % (1211527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211527)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211527)Termination reason: Instruction limit
% 12.47/2.39 % (1211527)Termination phase: Property scanning
% 12.47/2.39 % (1211527)Time elapsed: 0.386 s
% 12.47/2.39 % (1211527)Peak memory usage: 24 MB
% 12.47/2.39 % (1211527)Instructions burned: 922 (million)
% 12.47/2.39 % (1211579)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.47/2.39 % (1211649)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1856285430:fmbsr=2.30978:i=2174_2984 on theBenchmark for (2984ds/2174Mi)
% 12.47/2.39 % Exception at run slice level
% 12.47/2.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.47/2.39 % (1211651)ott-2_1_sil=16000:newcnf=on:random_seed=2583705587:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2984 on theBenchmark for (2984ds/869Mi)
% 12.47/2.39 % (1211579)Instruction limit reached!
% 12.47/2.39 % (1211579)------------------------------
% 12.47/2.39 % (1211579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211579)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211579)Termination reason: Instruction limit
% 12.47/2.39 % (1211579)Termination phase: Saturation
% 12.47/2.39 % (1211579)Time elapsed: 0.330 s
% 12.47/2.39 % (1211579)Peak memory usage: 27 MB
% 12.47/2.39 % (1211579)Instructions burned: 1473 (million)
% 12.47/2.39 % (1211653)ott+10_1_sil=32000:tgt=ground:random_seed=638215295:i=5114:av=off_2983 on theBenchmark for (2983ds/5114Mi)
% 12.47/2.39 % (1211651)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.47/2.39 % Exception at run slice level
% 12.47/2.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.47/2.39 % (1211655)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1898287320:i=54282_2981 on theBenchmark for (2981ds/54282Mi)
% 12.47/2.39 % (1211651)Instruction limit reached!
% 12.47/2.39 % (1211651)------------------------------
% 12.47/2.39 % (1211651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.39 % (1211651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.39 % (1211651)CaDiCaL version: 2.1.3
% 12.47/2.39 % (1211651)Termination reason: Instruction limit
% 12.47/2.39 % (1211651)Termination phase: Property scanning
% 12.47/2.39 % (1211651)Time elapsed: 0.361 s
% 12.47/2.39 % (1211651)Peak memory usage: 24 MB
% 12.47/2.39 % (1211651)Instructions burned: 870 (million)
% 12.47/2.39 % (1211657)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1533346966:i=3512:aac=none_2980 on theBenchmark for (2980ds/3512Mi)
% 12.47/2.39 % (1211444) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1211438-1211444"...
% 12.47/2.39 % Exception at run slice level
% 12.47/2.39 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.47/2.39 % (1211444)...printing done.
% 12.47/2.39 % (1211444)Refutation found. Thanks to Tanya!
% 12.47/2.39 % SZS status Theorem for theBenchmark
% 12.47/2.39 % SZS output start Proof for theBenchmark
% See solution above
% 12.47/2.40 % (1211444)------------------------------
% 12.47/2.40 % (1211444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.47/2.40 % (1211444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.40 % (1211444)CaDiCaL version: 2.1.3
% 12.47/2.40 % (1211444)Termination reason: Refutation
% 12.47/2.40 % (1211444)Time elapsed: 1.804 s
% 12.47/2.40 % (1211444)Peak memory usage: 37 MB
% 12.47/2.40 % (1211444)Instructions burned: 3872 (million)
% 12.47/2.40 % (1211438)Success in time 2.14 s
% 12.47/2.40 % Vampire exiting
%------------------------------------------------------------------------------