TSTP Solution File: NUM926^4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM926^4 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:43:54 EDT 2024
% Result : Theorem 266.83s 38.77s
% Output : Refutation 266.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1001
% Syntax : Number of formulae : 1026 ( 12 unt; 994 typ; 0 def)
% Number of atoms : 509 ( 50 equ; 0 cnn)
% Maximal formula atoms : 3 ( 15 avg)
% Number of connectives : 45 ( 18 ~; 15 |; 0 &; 0 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 21 ( 20 usr)
% Number of type conns : 2327 (2326 >; 1 *; 0 +; 0 <<)
% Number of symbols : 958 ( 955 usr; 43 con; 0-9 aty)
% Number of variables : 50 ( 0 ^ 16 !; 20 ?; 50 :)
% ( 14 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
real: $tType ).
thf(type_def_8,type,
int: $tType ).
thf(type_def_9,type,
rat: $tType ).
thf(type_def_10,type,
produc975137661_int_o: $tType ).
thf(type_def_11,type,
code_code_numeral: $tType ).
thf(type_def_12,type,
produc1359518119umeral: $tType ).
thf(type_def_13,type,
complex: $tType ).
thf(type_def_14,type,
produc914805421l_real: $tType ).
thf(type_def_15,type,
product_prod_int_int: $tType ).
thf(type_def_16,type,
quickcheck_code_int: $tType ).
thf(type_def_17,type,
product_prod_nat_nat: $tType ).
thf(type_def_18,type,
produc1322466333at_nat: $tType ).
thf(type_def_19,type,
produc393999548nt_int: $tType ).
thf(type_def_20,type,
filter_complex: $tType ).
thf(type_def_21,type,
filter_real: $tType ).
thf(type_def_22,type,
filter_nat: $tType ).
thf(type_def_23,type,
list_int: $tType ).
thf(type_def_24,type,
produc167071911de_int: $tType ).
thf(type_def_25,type,
produc1137372701nt_int: $tType ).
thf(func_def_0,type,
code_code_numeral: $tType ).
thf(func_def_1,type,
complex: $tType ).
thf(func_def_2,type,
int: $tType ).
thf(func_def_3,type,
filter_complex: $tType ).
thf(func_def_4,type,
filter_nat: $tType ).
thf(func_def_5,type,
filter_real: $tType ).
thf(func_def_6,type,
list_int: $tType ).
thf(func_def_7,type,
nat: $tType ).
thf(func_def_8,type,
quickcheck_code_int: $tType ).
thf(func_def_9,type,
rat: $tType ).
thf(func_def_10,type,
real: $tType ).
thf(func_def_11,type,
produc975137661_int_o: $tType ).
thf(func_def_12,type,
produc1359518119umeral: $tType ).
thf(func_def_13,type,
product_prod_int_int: $tType ).
thf(func_def_14,type,
produc393999548nt_int: $tType ).
thf(func_def_15,type,
product_prod_nat_nat: $tType ).
thf(func_def_16,type,
produc167071911de_int: $tType ).
thf(func_def_17,type,
produc914805421l_real: $tType ).
thf(func_def_18,type,
produc1137372701nt_int: $tType ).
thf(func_def_19,type,
produc1322466333at_nat: $tType ).
thf(func_def_20,type,
all: ( nat > $o ) > $o ).
thf(func_def_21,type,
archim856651990g_real: real > int ).
thf(func_def_22,type,
archim791455193or_rat: rat > int ).
thf(func_def_23,type,
archim1246769320r_real: real > int ).
thf(func_def_24,type,
big_co1971440592_o_nat: ( ( int > $o ) > nat ) > ( ( int > $o ) > $o ) > nat ).
thf(func_def_25,type,
big_co230513141nt_int: ( int > int ) > ( int > $o ) > int ).
thf(func_def_26,type,
big_co1024481617at_int: ( nat > int ) > ( nat > $o ) > int ).
thf(func_def_27,type,
big_co387207925at_nat: ( nat > nat ) > ( nat > $o ) > nat ).
thf(func_def_28,type,
big_co604158596t_real: ( nat > real ) > ( nat > $o ) > real ).
thf(func_def_29,type,
big_co1548731110nt_int: ( int > int ) > ( int > $o ) > int ).
thf(func_def_30,type,
big_co1705425894at_nat: ( nat > nat ) > ( nat > $o ) > nat ).
thf(func_def_31,type,
bijR_int_int: ( int > int > $o ) > produc975137661_int_o > $o ).
thf(func_def_32,type,
code_S1047413653umeral: code_code_numeral > code_code_numeral ).
thf(func_def_33,type,
code_c271388182l_size: code_code_numeral > nat ).
thf(func_def_34,type,
code_d418564891umeral: code_code_numeral > code_code_numeral > produc1359518119umeral ).
thf(func_def_35,type,
code_int_of: code_code_numeral > int ).
thf(func_def_36,type,
code_nat_of_aux: code_code_numeral > nat > nat ).
thf(func_def_37,type,
comple1092985777_int_o: ( ( int > $o ) > $o ) > int > $o ).
thf(func_def_38,type,
comple124823625p_real: ( real > $o ) > real ).
thf(func_def_39,type,
im: complex > real ).
thf(func_def_40,type,
re: complex > real ).
thf(func_def_41,type,
arg: complex > real ).
thf(func_def_42,type,
cis: real > complex ).
thf(func_def_43,type,
cnj: complex > complex ).
thf(func_def_44,type,
complex_1: real > real > complex ).
thf(func_def_45,type,
complex_size: complex > nat ).
thf(func_def_46,type,
expi: complex > complex ).
thf(func_def_47,type,
ii: complex ).
thf(func_def_48,type,
rcis: real > real > complex ).
thf(func_def_49,type,
bolzano_bisect: ( produc914805421l_real > $o ) > real > real > nat > produc914805421l_real ).
thf(func_def_50,type,
deriv_real: ( real > real ) > real > real > $o ).
thf(func_def_51,type,
adjust: int > product_prod_int_int > product_prod_int_int ).
thf(func_def_52,type,
div_di1218280263umeral: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_53,type,
div_div_int: int > int > int ).
thf(func_def_54,type,
div_div_nat: nat > nat > nat ).
thf(func_def_55,type,
div_di1430059507de_int: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_56,type,
div_mo1740067990umeral: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_57,type,
div_mod_int: int > int > int ).
thf(func_def_58,type,
div_mod_nat: nat > nat > nat ).
thf(func_def_59,type,
div_mo231679042de_int: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_60,type,
divmod_int: int > int > product_prod_int_int ).
thf(func_def_61,type,
divmod_int_rel: int > int > product_prod_int_int > $o ).
thf(func_def_62,type,
divmod_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_63,type,
divmod_nat_rel: nat > nat > product_prod_nat_nat > $o ).
thf(func_def_64,type,
negDivAlg: int > int > product_prod_int_int ).
thf(func_def_65,type,
negDivAlg_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_66,type,
negateSnd: product_prod_int_int > product_prod_int_int ).
thf(func_def_67,type,
pdivmod: int > int > product_prod_int_int ).
thf(func_def_68,type,
posDivAlg: int > int > product_prod_int_int ).
thf(func_def_69,type,
posDivAlg_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_70,type,
bnorRset: int > int > int > $o ).
thf(func_def_71,type,
rRset2norRR: ( int > $o ) > int > int > int ).
thf(func_def_72,type,
rsetR: int > ( int > $o ) > $o ).
thf(func_def_73,type,
is_RRset: ( int > $o ) > int > $o ).
thf(func_def_74,type,
noXRRset: int > int > int > $o ).
thf(func_def_75,type,
norRRset: int > int > $o ).
thf(func_def_76,type,
phi: int > nat ).
thf(func_def_77,type,
zcongm: int > int > int > $o ).
thf(func_def_78,type,
multInvPair: int > int > int > int > $o ).
thf(func_def_79,type,
setS: int > int > ( int > $o ) > $o ).
thf(func_def_80,type,
zEven: int > $o ).
thf(func_def_81,type,
zOdd: int > $o ).
thf(func_def_82,type,
fact_fact_int: int > int ).
thf(func_def_83,type,
fact_fact_nat: nat > nat ).
thf(func_def_84,type,
invers1025623611omplex: complex > complex > complex ).
thf(func_def_85,type,
inverse_divide_rat: rat > rat > rat ).
thf(func_def_86,type,
inverse_divide_real: real > real > real ).
thf(func_def_87,type,
invers1449016382omplex: complex > complex ).
thf(func_def_88,type,
inverse_inverse_rat: rat > rat ).
thf(func_def_89,type,
inverse_inverse_real: real > real ).
thf(func_def_90,type,
finite_card_int_o: ( ( int > $o ) > $o ) > nat ).
thf(func_def_91,type,
finite_card_int: ( int > $o ) > nat ).
thf(func_def_92,type,
finite_card_nat: ( nat > $o ) > nat ).
thf(func_def_93,type,
finite_finite_int_o: ( ( int > $o ) > $o ) > $o ).
thf(func_def_94,type,
finite_finite_int: ( int > $o ) > $o ).
thf(func_def_95,type,
finite_finite_nat: ( nat > $o ) > $o ).
thf(func_def_96,type,
pair_leq: produc1322466333at_nat > $o ).
thf(func_def_97,type,
pair_less: produc1322466333at_nat > $o ).
thf(func_def_98,type,
bezw: nat > nat > product_prod_int_int ).
thf(func_def_99,type,
gcd_gcd_int: int > int > int ).
thf(func_def_100,type,
gcd_gcd_nat: nat > nat > nat ).
thf(func_def_101,type,
abs_abs_int: int > int ).
thf(func_def_102,type,
abs_abs_rat: rat > rat ).
thf(func_def_103,type,
abs_abs_real: real > real ).
thf(func_def_104,type,
minus_1690775515umeral: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_105,type,
minus_minus_complex: complex > complex > complex ).
thf(func_def_106,type,
minus_minus_int: int > int > int ).
thf(func_def_107,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_108,type,
minus_534354567de_int: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_109,type,
minus_minus_rat: rat > rat > rat ).
thf(func_def_110,type,
minus_minus_real: real > real > real ).
thf(func_def_111,type,
one_on1645066479umeral: code_code_numeral ).
thf(func_def_112,type,
one_one_complex: complex ).
thf(func_def_113,type,
one_one_int: int ).
thf(func_def_114,type,
one_one_nat: nat ).
thf(func_def_115,type,
one_on1684967323de_int: quickcheck_code_int ).
thf(func_def_116,type,
one_one_rat: rat ).
thf(func_def_117,type,
one_one_real: real ).
thf(func_def_118,type,
plus_p1627245867umeral: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_119,type,
plus_plus_complex: complex > complex > complex ).
thf(func_def_120,type,
plus_plus_int: int > int > int ).
thf(func_def_121,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_122,type,
plus_p1446045655de_int: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_123,type,
plus_plus_rat: rat > rat > rat ).
thf(func_def_124,type,
plus_plus_real: real > real > real ).
thf(func_def_125,type,
sgn_sgn_complex: complex > complex ).
thf(func_def_126,type,
sgn_sgn_int: int > int ).
thf(func_def_127,type,
sgn_sgn_rat: rat > rat ).
thf(func_def_128,type,
sgn_sgn_real: real > real ).
thf(func_def_129,type,
times_1655362735umeral: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_130,type,
times_times_complex: complex > complex > complex ).
thf(func_def_131,type,
times_times_int: int > int > int ).
thf(func_def_132,type,
times_times_nat: nat > nat > nat ).
thf(func_def_133,type,
times_123202395de_int: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_134,type,
times_times_rat: rat > rat > rat ).
thf(func_def_135,type,
times_times_real: real > real > real ).
thf(func_def_136,type,
uminus473333897omplex: complex > complex ).
thf(func_def_137,type,
uminus_uminus_int: int > int ).
thf(func_def_138,type,
uminus_uminus_rat: rat > rat ).
thf(func_def_139,type,
uminus_uminus_real: real > real ).
thf(func_def_140,type,
zero_z126310315umeral: code_code_numeral ).
thf(func_def_141,type,
zero_zero_complex: complex ).
thf(func_def_142,type,
zero_zero_int: int ).
thf(func_def_143,type,
zero_zero_nat: nat ).
thf(func_def_144,type,
zero_z891286103de_int: quickcheck_code_int ).
thf(func_def_145,type,
zero_zero_rat: rat ).
thf(func_def_146,type,
zero_zero_real: real ).
thf(func_def_147,type,
the_int: ( int > $o ) > int ).
thf(func_def_148,type,
the_real: ( real > $o ) > real ).
thf(func_def_149,type,
the_Pr2103884470nt_int: ( product_prod_int_int > $o ) > product_prod_int_int ).
thf(func_def_150,type,
the_Pr588456374at_nat: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_151,type,
hilbert_Eps_int: ( int > $o ) > int ).
thf(func_def_152,type,
hilbert_Eps_real: ( real > $o ) > real ).
thf(func_def_153,type,
if_int: $o > int > int > int ).
thf(func_def_154,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_155,type,
if_real: $o > real > real > real ).
thf(func_def_156,type,
if_Pro1731782967nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).
thf(func_def_157,type,
if_Pro313124157l_real: $o > produc914805421l_real > produc914805421l_real > produc914805421l_real ).
thf(func_def_158,type,
multInv: int > int > int ).
thf(func_def_159,type,
d22set: int > int > $o ).
thf(func_def_160,type,
zfact: int > int ).
thf(func_def_161,type,
xzgcd: int > int > produc393999548nt_int ).
thf(func_def_162,type,
xzgcda: int > int > int > int > int > int > int > int > produc393999548nt_int ).
thf(func_def_163,type,
zcong: int > int > int > $o ).
thf(func_def_164,type,
zprime: int > $o ).
thf(func_def_165,type,
bit0: int > int ).
thf(func_def_166,type,
bit1: int > int ).
thf(func_def_167,type,
min: int ).
thf(func_def_168,type,
pls: int ).
thf(func_def_169,type,
int_ge_less_than: int > product_prod_int_int > $o ).
thf(func_def_170,type,
int_ge_less_than2: int > product_prod_int_int > $o ).
thf(func_def_171,type,
iszero_int: int > $o ).
thf(func_def_172,type,
iszero_rat: rat > $o ).
thf(func_def_173,type,
nat_1: int > nat ).
thf(func_def_174,type,
nat_aux: int > nat > nat ).
thf(func_def_175,type,
number1443263063umeral: int > code_code_numeral ).
thf(func_def_176,type,
number528085621omplex: int > complex ).
thf(func_def_177,type,
number_number_of_int: int > int ).
thf(func_def_178,type,
number_number_of_nat: int > nat ).
thf(func_def_179,type,
number1226105091de_int: int > quickcheck_code_int ).
thf(func_def_180,type,
number_number_of_rat: int > rat ).
thf(func_def_181,type,
number267125858f_real: int > real ).
thf(func_def_182,type,
pred: int > int ).
thf(func_def_183,type,
ring_1_Ints_real: real > $o ).
thf(func_def_184,type,
ring_11397209091omplex: int > complex ).
thf(func_def_185,type,
ring_1_of_int_int: int > int ).
thf(func_def_186,type,
ring_1_of_int_rat: int > rat ).
thf(func_def_187,type,
ring_1_of_int_real: int > real ).
thf(func_def_188,type,
succ: int > int ).
thf(func_def_189,type,
lazy_small_lazy_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_190,type,
legacy_zgcd: int > int > int ).
thf(func_def_191,type,
isCont156215680omplex: ( complex > complex ) > complex > $o ).
thf(func_def_192,type,
isCont_complex_real: ( complex > real ) > complex > $o ).
thf(func_def_193,type,
isCont_real_real: ( real > real ) > real > $o ).
thf(func_def_194,type,
at_complex: complex > filter_complex ).
thf(func_def_195,type,
at_real: real > filter_real ).
thf(func_def_196,type,
sequentially: filter_nat ).
thf(func_def_197,type,
tendst1507391555omplex: ( complex > complex ) > complex > filter_complex > $o ).
thf(func_def_198,type,
tendsto_complex_real: ( complex > real ) > real > filter_complex > $o ).
thf(func_def_199,type,
tendsto_nat_complex: ( nat > complex ) > complex > filter_nat > $o ).
thf(func_def_200,type,
tendsto_nat_real: ( nat > real ) > real > filter_nat > $o ).
thf(func_def_201,type,
tendsto_real_real: ( real > real ) > real > filter_real > $o ).
thf(func_def_202,type,
trivial_limit_nat: filter_nat > $o ).
thf(func_def_203,type,
upto_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_204,type,
log: real > real > real ).
thf(func_def_205,type,
powr: real > real > real ).
thf(func_def_206,type,
suc: nat > nat ).
thf(func_def_207,type,
nat_case_o: $o > ( nat > $o ) > nat > $o ).
thf(func_def_208,type,
nat_case_nat: nat > ( nat > nat ) > nat > nat ).
thf(func_def_209,type,
nat_size: nat > nat ).
thf(func_def_210,type,
semiri1619134803umeral: nat > code_code_numeral ).
thf(func_def_211,type,
semiri2020571505omplex: nat > complex ).
thf(func_def_212,type,
semiri1621563631at_int: nat > int ).
thf(func_def_213,type,
semiri984289939at_nat: nat > nat ).
thf(func_def_214,type,
semiri1424489471de_int: nat > quickcheck_code_int ).
thf(func_def_215,type,
semiri151668891at_rat: nat > rat ).
thf(func_def_216,type,
semiri132038758t_real: nat > real ).
thf(func_def_217,type,
size_s945831648umeral: code_code_numeral > nat ).
thf(func_def_218,type,
size_size_complex: complex > nat ).
thf(func_def_219,type,
size_size_list_int: list_int > nat ).
thf(func_def_220,type,
size_size_nat: nat > nat ).
thf(func_def_221,type,
nat_neg: int > $o ).
thf(func_def_222,type,
nat_is_nat: int > $o ).
thf(func_def_223,type,
nat_nat_set: ( int > $o ) > $o ).
thf(func_def_224,type,
nat_tr876908586nt_nat: ( int > nat ) > ( int > $o ) > $o ).
thf(func_def_225,type,
nat_tr160667106at_int: ( nat > int ) > ( nat > $o ) > $o ).
thf(func_def_226,type,
nat_tsub: int > int > int ).
thf(func_def_227,type,
frac: product_prod_int_int > $o ).
thf(func_def_228,type,
int_gcd: int > int > int ).
thf(func_def_229,type,
int_lcm: int > int > int ).
thf(func_def_230,type,
nat_gcd: nat > nat > nat ).
thf(func_def_231,type,
nat_gcd_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_232,type,
nat_lcm: nat > nat > nat ).
thf(func_def_233,type,
norm_frac: int > int > product_prod_int_int ).
thf(func_def_234,type,
norm_frac_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_235,type,
root: nat > real > real ).
thf(func_def_236,type,
sqrt: real > real ).
thf(func_def_237,type,
ord_less_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_238,type,
ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_239,type,
ord_le1304079648umeral: code_code_numeral > code_code_numeral > $o ).
thf(func_def_240,type,
ord_less_int: int > int > $o ).
thf(func_def_241,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_242,type,
ord_le1860547276de_int: quickcheck_code_int > quickcheck_code_int > $o ).
thf(func_def_243,type,
ord_less_rat: rat > rat > $o ).
thf(func_def_244,type,
ord_less_real: real > real > $o ).
thf(func_def_245,type,
ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_246,type,
ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_247,type,
ord_le565307924umeral: code_code_numeral > code_code_numeral > $o ).
thf(func_def_248,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_249,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_250,type,
ord_le258702272de_int: quickcheck_code_int > quickcheck_code_int > $o ).
thf(func_def_251,type,
ord_less_eq_rat: rat > rat > $o ).
thf(func_def_252,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_253,type,
ord_max_nat: nat > nat > nat ).
thf(func_def_254,type,
ord_min_nat: nat > nat > nat ).
thf(func_def_255,type,
even_odd_even_int: int > $o ).
thf(func_def_256,type,
even_odd_even_nat: nat > $o ).
thf(func_def_257,type,
power_2100829034umeral: code_code_numeral > nat > code_code_numeral ).
thf(func_def_258,type,
power_power_complex: complex > nat > complex ).
thf(func_def_259,type,
power_power_int: int > nat > int ).
thf(func_def_260,type,
power_power_nat: nat > nat > nat ).
thf(func_def_261,type,
power_881366806de_int: quickcheck_code_int > nat > quickcheck_code_int ).
thf(func_def_262,type,
power_power_rat: rat > nat > rat ).
thf(func_def_263,type,
power_power_real: real > nat > real ).
thf(func_def_264,type,
coprime: nat > nat > $o ).
thf(func_def_265,type,
fact: nat > nat ).
thf(func_def_266,type,
prime: nat > $o ).
thf(func_def_267,type,
produc398918003_int_o: ( int > $o ) > ( int > $o ) > produc975137661_int_o ).
thf(func_def_268,type,
produc2136830103umeral: code_code_numeral > code_code_numeral > produc1359518119umeral ).
thf(func_def_269,type,
product_Pair_int_int: int > int > product_prod_int_int ).
thf(func_def_270,type,
produc282740534nt_int: int > product_prod_int_int > produc393999548nt_int ).
thf(func_def_271,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_272,type,
produc1318306967de_int: quickcheck_code_int > quickcheck_code_int > produc167071911de_int ).
thf(func_def_273,type,
produc865579683l_real: real > real > produc914805421l_real ).
thf(func_def_274,type,
produc883642259nt_int: product_prod_int_int > product_prod_int_int > produc1137372701nt_int ).
thf(func_def_275,type,
produc494345619at_nat: product_prod_nat_nat > product_prod_nat_nat > produc1322466333at_nat ).
thf(func_def_276,type,
produc713050258nt_int: ( int > int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_277,type,
product_fst_int_int: product_prod_int_int > int ).
thf(func_def_278,type,
product_fst_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_279,type,
produc1935615926l_real: produc914805421l_real > real ).
thf(func_def_280,type,
produc450523309_int_o: ( int > int > $o ) > product_prod_int_int > $o ).
thf(func_def_281,type,
produc1298267108nt_int: ( int > int > int ) > product_prod_int_int > int ).
thf(func_def_282,type,
produc1518849193nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_283,type,
produc1038563245_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_284,type,
produc1391996073at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_285,type,
produc595218619l_real: ( real > real > produc914805421l_real ) > produc914805421l_real > produc914805421l_real ).
thf(func_def_286,type,
produc141074865_int_o: ( product_prod_int_int > product_prod_int_int > $o ) > produc1137372701nt_int > $o ).
thf(func_def_287,type,
product_snd_int_int: product_prod_int_int > int ).
thf(func_def_288,type,
product_snd_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_289,type,
produc556554744l_real: produc914805421l_real > real ).
thf(func_def_290,type,
quickc666637781d_zero: int > list_int ).
thf(func_def_291,type,
quickc1265749348ro_rel: int > int > $o ).
thf(func_def_292,type,
quickc495462417de_int: quickcheck_code_int > quickcheck_code_int > produc167071911de_int ).
thf(func_def_293,type,
quickcheck_int_of: quickcheck_code_int > int ).
thf(func_def_294,type,
quickcheck_nat_of: quickcheck_code_int > nat ).
thf(func_def_295,type,
quickcheck_of_int: int > quickcheck_code_int ).
thf(func_def_296,type,
natceiling: real > nat ).
thf(func_def_297,type,
natfloor: real > nat ).
thf(func_def_298,type,
fract: int > int > rat ).
thf(func_def_299,type,
frct: product_prod_int_int > rat ).
thf(func_def_300,type,
field_1210416355s_real: real > $o ).
thf(func_def_301,type,
normalize: product_prod_int_int > product_prod_int_int ).
thf(func_def_302,type,
quotient_of: rat > product_prod_int_int ).
thf(func_def_303,type,
ratrel: produc1137372701nt_int > $o ).
thf(func_def_304,type,
ratreal: rat > real ).
thf(func_def_305,type,
real_int: int > real ).
thf(func_def_306,type,
real_nat: nat > real ).
thf(func_def_307,type,
vanishes: ( nat > rat ) > $o ).
thf(func_def_308,type,
dist_dist_complex: complex > complex > real ).
thf(func_def_309,type,
dist_dist_real: real > real > real ).
thf(func_def_310,type,
norm_norm_complex: complex > real ).
thf(func_def_311,type,
norm_norm_real: real > real ).
thf(func_def_312,type,
of_real_complex: real > complex ).
thf(func_def_313,type,
scaleR1652505878omplex: real > complex > complex ).
thf(func_def_314,type,
scaleR_scaleR_real: real > real > real ).
thf(func_def_315,type,
legendre: int > int > int ).
thf(func_def_316,type,
quadRes: int > int > $o ).
thf(func_def_317,type,
resSet: int > ( int > $o ) > $o ).
thf(func_def_318,type,
sr: int > int > $o ).
thf(func_def_319,type,
sRStar: int > int > $o ).
thf(func_def_320,type,
standardRes: int > int > int ).
thf(func_def_321,type,
dvd_dv174992974umeral: code_code_numeral > code_code_numeral > $o ).
thf(func_def_322,type,
dvd_dvd_complex: complex > complex > $o ).
thf(func_def_323,type,
dvd_dvd_int: int > int > $o ).
thf(func_def_324,type,
dvd_dvd_nat: nat > nat > $o ).
thf(func_def_325,type,
dvd_dv1760642554de_int: quickcheck_code_int > quickcheck_code_int > $o ).
thf(func_def_326,type,
dvd_dvd_rat: rat > rat > $o ).
thf(func_def_327,type,
dvd_dvd_real: real > real > $o ).
thf(func_def_328,type,
bseq_real: ( nat > real ) > $o ).
thf(func_def_329,type,
cauchy_complex: ( nat > complex ) > $o ).
thf(func_def_330,type,
cauchy_real: ( nat > real ) > $o ).
thf(func_def_331,type,
monoseq_real: ( nat > real ) > $o ).
thf(func_def_332,type,
z3div: int > int > int ).
thf(func_def_333,type,
z3mod: int > int > int ).
thf(func_def_334,type,
suminf_complex: ( nat > complex ) > complex ).
thf(func_def_335,type,
suminf_real: ( nat > real ) > real ).
thf(func_def_336,type,
summable_complex: ( nat > complex ) > $o ).
thf(func_def_337,type,
summable_real: ( nat > real ) > $o ).
thf(func_def_338,type,
sums_complex: ( nat > complex ) > complex > $o ).
thf(func_def_339,type,
sums_real: ( nat > real ) > real > $o ).
thf(func_def_340,type,
ord_at875362053st_int: int > int > int > $o ).
thf(func_def_341,type,
ord_at238088361st_nat: nat > nat > nat > $o ).
thf(func_def_342,type,
ord_at1589558736t_real: real > real > real > $o ).
thf(func_def_343,type,
ord_at641636577an_int: int > int > int > $o ).
thf(func_def_344,type,
ord_at4362885an_nat: nat > nat > nat > $o ).
thf(func_def_345,type,
ord_at1496968948n_real: real > real > real > $o ).
thf(func_def_346,type,
ord_atMost_nat: nat > nat > $o ).
thf(func_def_347,type,
ord_gr1297742076an_int: int > int > int > $o ).
thf(func_def_348,type,
ord_gr660468384an_nat: nat > nat > nat > $o ).
thf(func_def_349,type,
ord_gr788844697n_real: real > real > real > $o ).
thf(func_def_350,type,
ord_lessThan_nat: nat > nat > $o ).
thf(func_def_351,type,
ord_lessThan_real: real > real > $o ).
thf(func_def_352,type,
collect_int: ( int > $o ) > int > $o ).
thf(func_def_353,type,
collect_nat: ( nat > $o ) > nat > $o ).
thf(func_def_354,type,
collect_real: ( real > $o ) > real > $o ).
thf(func_def_355,type,
collec1347809874nt_int: ( product_prod_int_int > $o ) > product_prod_int_int > $o ).
thf(func_def_356,type,
collec1979865426at_nat: ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_357,type,
collec50511176nt_int: ( produc1137372701nt_int > $o ) > produc1137372701nt_int > $o ).
thf(func_def_358,type,
image_int_int_o: ( int > int > $o ) > ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_359,type,
image_int_int: ( int > int ) > ( int > $o ) > int > $o ).
thf(func_def_360,type,
image_int_nat: ( int > nat ) > ( int > $o ) > nat > $o ).
thf(func_def_361,type,
image_nat_int: ( nat > int ) > ( nat > $o ) > int > $o ).
thf(func_def_362,type,
image_nat_nat: ( nat > nat ) > ( nat > $o ) > nat > $o ).
thf(func_def_363,type,
arccos: real > real ).
thf(func_def_364,type,
arcsin: real > real ).
thf(func_def_365,type,
arctan: real > real ).
thf(func_def_366,type,
cos: real > real ).
thf(func_def_367,type,
cos_coeff: nat > real ).
thf(func_def_368,type,
diffs_real: ( nat > real ) > nat > real ).
thf(func_def_369,type,
exp_real: real > real ).
thf(func_def_370,type,
ln: real > real ).
thf(func_def_371,type,
pi: real ).
thf(func_def_372,type,
sin: real > real ).
thf(func_def_373,type,
sin_coeff: nat > real ).
thf(func_def_374,type,
tan: real > real ).
thf(func_def_375,type,
twoSqu1152398899sum2sq: int > $o ).
thf(func_def_376,type,
twoSqu2072599593sum2sq: product_prod_int_int > int ).
thf(func_def_377,type,
accp_int: ( int > int > $o ) > int > $o ).
thf(func_def_378,type,
accp_P2006205492nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).
thf(func_def_379,type,
accp_P490777396at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_380,type,
pred_nat: product_prod_nat_nat > $o ).
thf(func_def_381,type,
inv: int > int > int ).
thf(func_def_382,type,
wset: int > int > int > $o ).
thf(func_def_383,type,
member_int_o: ( int > $o ) > ( ( int > $o ) > $o ) > $o ).
thf(func_def_384,type,
member_int: int > ( int > $o ) > $o ).
thf(func_def_385,type,
member_nat: nat > ( nat > $o ) > $o ).
thf(func_def_386,type,
member_real: real > ( real > $o ) > $o ).
thf(func_def_387,type,
member1329254762_int_o: produc975137661_int_o > ( produc975137661_int_o > $o ) > $o ).
thf(func_def_388,type,
member2143287562nt_int: produc1137372701nt_int > ( produc1137372701nt_int > $o ) > $o ).
thf(func_def_389,type,
member180897546at_nat: produc1322466333at_nat > ( produc1322466333at_nat > $o ) > $o ).
thf(func_def_390,type,
m: int ).
thf(func_def_391,type,
s1: int ).
thf(func_def_392,type,
s: int ).
thf(func_def_393,type,
t: int ).
thf(func_def_395,type,
vAND: $o > $o > $o ).
thf(func_def_396,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_397,type,
vIMP: $o > $o > $o ).
thf(func_def_398,type,
vNOT: $o > $o ).
thf(func_def_399,type,
vOR: $o > $o > $o ).
thf(func_def_402,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_403,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_404,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_405,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_406,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_407,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_408,type,
sP0: ( int > $o ) > int > int > $o ).
thf(func_def_409,type,
sK1: int ).
thf(func_def_410,type,
sK2: int ).
thf(func_def_411,type,
sK3: int ).
thf(func_def_412,type,
sK4: int ).
thf(func_def_413,type,
sK5: int ).
thf(func_def_414,type,
sK6: int ).
thf(func_def_415,type,
sK7: int ).
thf(func_def_416,type,
sK8: code_code_numeral > code_code_numeral ).
thf(func_def_417,type,
sK9: nat > nat ).
thf(func_def_418,type,
sK10: nat > nat ).
thf(func_def_419,type,
sK11: nat > nat ).
thf(func_def_420,type,
sK12: ( produc914805421l_real > $o ) > real ).
thf(func_def_421,type,
sK13: real > ( produc914805421l_real > $o ) > real ).
thf(func_def_422,type,
sK14: real > ( produc914805421l_real > $o ) > real ).
thf(func_def_423,type,
sK15: ( produc914805421l_real > $o ) > real ).
thf(func_def_424,type,
sK16: ( produc914805421l_real > $o ) > real ).
thf(func_def_425,type,
sK17: ( produc914805421l_real > $o ) > real ).
thf(func_def_426,type,
sK18: nat > nat ).
thf(func_def_427,type,
sK19: nat > nat ).
thf(func_def_428,type,
sK20: ( nat > $o ) > nat ).
thf(func_def_429,type,
sK21: nat > nat ).
thf(func_def_430,type,
sK22: int > nat ).
thf(func_def_431,type,
sK23: int > nat ).
thf(func_def_432,type,
sK24: ( nat > rat ) > rat ).
thf(func_def_433,type,
sK25: nat > ( nat > rat ) > nat ).
thf(func_def_434,type,
sK26: ( nat > real ) > real ).
thf(func_def_435,type,
sK27: nat > ( nat > real ) > nat ).
thf(func_def_436,type,
sK28: ( nat > real ) > nat ).
thf(func_def_437,type,
sK29: ( nat > nat ) > nat ).
thf(func_def_438,type,
sK30: ( nat > nat ) > nat ).
thf(func_def_439,type,
sK31: rat > int ).
thf(func_def_440,type,
sK32: rat > int ).
thf(func_def_441,type,
sK33: nat > nat ).
thf(func_def_442,type,
sK34: ( nat > $o ) > nat ).
thf(func_def_443,type,
sK35: ( nat > real ) > nat ).
thf(func_def_444,type,
sK36: ( nat > real ) > nat ).
thf(func_def_445,type,
sK37: rat > rat ).
thf(func_def_446,type,
sK38: rat > rat ).
thf(func_def_447,type,
sK39: real > real > nat ).
thf(func_def_448,type,
sK40: real > real ).
thf(func_def_449,type,
sK41: real > real ).
thf(func_def_450,type,
sK42: real > nat ).
thf(func_def_451,type,
sK43: real > real ).
thf(func_def_452,type,
sK44: real > nat ).
thf(func_def_453,type,
sK45: real > nat ).
thf(func_def_454,type,
sK46: real > real ).
thf(func_def_455,type,
sK47: real > nat ).
thf(func_def_456,type,
sK48: real > int ).
thf(func_def_457,type,
sK49: real > nat ).
thf(func_def_458,type,
sK50: real > int ).
thf(func_def_459,type,
sK51: nat > nat ).
thf(func_def_460,type,
sK52: int > nat ).
thf(func_def_461,type,
sK53: int > nat ).
thf(func_def_462,type,
sK54: int > nat ).
thf(func_def_463,type,
sK55: int > int ).
thf(func_def_464,type,
sK56: int > nat ).
thf(func_def_465,type,
sK57: int > nat ).
thf(func_def_466,type,
sK58: real > real ).
thf(func_def_467,type,
sK59: real > real ).
thf(func_def_468,type,
sK60: real > real ).
thf(func_def_469,type,
sK61: real > nat ).
thf(func_def_470,type,
sK62: real > nat ).
thf(func_def_471,type,
sK63: int > int ).
thf(func_def_472,type,
sK64: int > int ).
thf(func_def_473,type,
sK65: ( nat > real ) > nat ).
thf(func_def_474,type,
sK66: ( nat > real ) > nat ).
thf(func_def_475,type,
sK67: ( nat > real ) > nat ).
thf(func_def_476,type,
sK68: ( nat > real ) > nat ).
thf(func_def_477,type,
sK69: ( nat > real ) > nat ).
thf(func_def_478,type,
sK70: ( nat > real ) > nat ).
thf(func_def_479,type,
sK71: real > nat ).
thf(func_def_480,type,
sK72: real > nat ).
thf(func_def_481,type,
sK73: real > nat ).
thf(func_def_482,type,
sK74: real > nat ).
thf(func_def_483,type,
sK75: real > int ).
thf(func_def_484,type,
sK76: real > int ).
thf(func_def_485,type,
sK77: nat > nat ).
thf(func_def_486,type,
sK78: nat > nat ).
thf(func_def_487,type,
sK79: int > int ).
thf(func_def_488,type,
sK80: ( nat > $o ) > nat ).
thf(func_def_489,type,
sK81: nat > ( nat > $o ) > nat ).
thf(func_def_490,type,
sK82: ( nat > $o ) > nat ).
thf(func_def_491,type,
sK83: nat > ( nat > $o ) > nat ).
thf(func_def_492,type,
sK84: ( int > $o ) > nat ).
thf(func_def_493,type,
sK85: ( int > $o ) > int ).
thf(func_def_494,type,
sK86: ( int > $o ) > int ).
thf(func_def_495,type,
sK87: ( int > $o ) > nat ).
thf(func_def_496,type,
sK88: nat > nat ).
thf(func_def_497,type,
sK89: nat > nat ).
thf(func_def_498,type,
sK90: nat > nat ).
thf(func_def_499,type,
sK91: int > int ).
thf(func_def_500,type,
sK92: int > int ).
thf(func_def_501,type,
sK93: int > int ).
thf(func_def_502,type,
sK94: int > int ).
thf(func_def_503,type,
sK95: ( nat > rat ) > rat ).
thf(func_def_504,type,
sK96: nat > ( nat > rat ) > nat ).
thf(func_def_505,type,
sK97: rat > ( nat > rat ) > nat ).
thf(func_def_506,type,
sK98: ( nat > $o ) > int ).
thf(func_def_507,type,
sK99: nat > ( nat > $o ) > nat ).
thf(func_def_508,type,
sK100: ( nat > $o ) > nat ).
thf(func_def_509,type,
sK101: nat > ( nat > $o ) > nat ).
thf(func_def_510,type,
sK102: ( nat > $o ) > nat ).
thf(func_def_511,type,
sK103: ( nat > $o ) > nat ).
thf(func_def_512,type,
sK104: ( nat > $o ) > nat ).
thf(func_def_513,type,
sK105: ( nat > real ) > nat ).
thf(func_def_514,type,
sK106: nat > ( nat > real ) > nat ).
thf(func_def_515,type,
sK107: nat > ( nat > real ) > nat ).
thf(func_def_516,type,
sK108: nat > ( nat > real ) > nat ).
thf(func_def_517,type,
sK109: ( int > $o ) > int ).
thf(func_def_518,type,
sK110: ( nat > $o ) > int ).
thf(func_def_519,type,
sK111: nat > nat ).
thf(func_def_520,type,
sK112: int > nat ).
thf(func_def_521,type,
sK113: int > nat ).
thf(func_def_522,type,
sK114: rat > int ).
thf(func_def_523,type,
sK115: rat > int ).
thf(func_def_524,type,
sK116: rat > product_prod_int_int ).
thf(func_def_525,type,
sK117: nat > nat ).
thf(func_def_526,type,
sK118: nat > nat ).
thf(func_def_527,type,
sK119: real > int ).
thf(func_def_528,type,
sK120: real > real ).
thf(func_def_529,type,
sK121: real > real ).
thf(func_def_530,type,
sK122: real > nat ).
thf(func_def_531,type,
sK123: complex > complex ).
thf(func_def_532,type,
sK124: complex > real ).
thf(func_def_533,type,
sK125: complex > real ).
thf(func_def_534,type,
sK126: complex > real ).
thf(func_def_535,type,
sK127: real > nat > real ).
thf(func_def_536,type,
sK128: nat > nat > nat ).
thf(func_def_537,type,
sK129: nat > nat > nat ).
thf(func_def_538,type,
sK130: nat > nat > nat ).
thf(func_def_539,type,
sK131: nat > nat > nat ).
thf(func_def_540,type,
sK132: int > int > int ).
thf(func_def_541,type,
sK133: int > int > int ).
thf(func_def_542,type,
sK134: nat > nat > nat ).
thf(func_def_543,type,
sK135: int > int > int ).
thf(func_def_544,type,
sK136: int > int > int ).
thf(func_def_545,type,
sK137: int > int > int ).
thf(func_def_546,type,
sK138: ( nat > $o ) > nat > nat ).
thf(func_def_547,type,
sK139: ( nat > $o ) > nat > nat ).
thf(func_def_548,type,
sK140: nat > nat > nat ).
thf(func_def_549,type,
sK141: ( int > $o ) > int ).
thf(func_def_550,type,
sK142: rat > rat > rat ).
thf(func_def_551,type,
sK143: real > real > real ).
thf(func_def_552,type,
sK144: ( int > $o ) > ( int > $o ) > int ).
thf(func_def_553,type,
sK145: ( nat > $o ) > nat > nat ).
thf(func_def_554,type,
sK146: ( int > $o ) > nat ).
thf(func_def_555,type,
sK147: ( int > $o ) > nat ).
thf(func_def_556,type,
sK148: ( nat > real ) > real > nat ).
thf(func_def_557,type,
sK149: ( nat > real ) > nat ).
thf(func_def_558,type,
sK150: ( nat > nat ) > nat ).
thf(func_def_559,type,
sK151: ( nat > real ) > ( nat > real ) > nat ).
thf(func_def_560,type,
sK152: ( nat > real ) > real > real ).
thf(func_def_561,type,
sK153: ( nat > real ) > real > nat ).
thf(func_def_562,type,
sK154: ( nat > real ) > nat ).
thf(func_def_563,type,
sK155: ( nat > real ) > ( nat > real ) > nat ).
thf(func_def_564,type,
sK156: ( rat > $o ) > int ).
thf(func_def_565,type,
sK157: ( rat > $o ) > int ).
thf(func_def_566,type,
sK158: ( rat > $o ) > int ).
thf(func_def_567,type,
sK159: ( rat > $o ) > int ).
thf(func_def_568,type,
sK160: rat > ( nat > rat ) > nat ).
thf(func_def_569,type,
sK161: nat > ( nat > real ) > ( nat > real ) > nat ).
thf(func_def_570,type,
sK162: ( nat > $o ) > nat ).
thf(func_def_571,type,
sK163: nat > nat > nat ).
thf(func_def_572,type,
sK164: nat > nat > nat ).
thf(func_def_573,type,
sK165: ( nat > $o ) > nat ).
thf(func_def_574,type,
sK166: ( nat > rat ) > rat > nat ).
thf(func_def_575,type,
sK167: ( nat > real ) > nat > nat ).
thf(func_def_576,type,
sK168: ( nat > real ) > nat > nat ).
thf(func_def_577,type,
sK169: ( nat > real ) > real > nat ).
thf(func_def_578,type,
sK170: ( nat > real ) > nat > nat ).
thf(func_def_579,type,
sK171: ( int > int ) > int ).
thf(func_def_580,type,
sK172: ( int > int ) > int ).
thf(func_def_581,type,
sK173: ( ( int > $o ) > $o ) > nat > int > $o ).
thf(func_def_582,type,
sK174: ( ( int > $o ) > $o ) > int > $o ).
thf(func_def_583,type,
sK175: real > ( nat > real ) > nat ).
thf(func_def_584,type,
sK176: real > real > real ).
thf(func_def_585,type,
sK177: real > real > nat ).
thf(func_def_586,type,
sK178: real > nat > real ).
thf(func_def_587,type,
sK179: real > real > real ).
thf(func_def_588,type,
sK180: real > real > real ).
thf(func_def_589,type,
sK181: real > real > real ).
thf(func_def_590,type,
sK182: real > real > real ).
thf(func_def_591,type,
sK183: real > real > real ).
thf(func_def_592,type,
sK184: nat > real > real ).
thf(func_def_593,type,
sK185: nat > real > real ).
thf(func_def_594,type,
sK186: int > int > int ).
thf(func_def_595,type,
sK187: int > int > int ).
thf(func_def_596,type,
sK188: int > ( int > $o ) > int ).
thf(func_def_597,type,
sK189: int > ( int > $o ) > int ).
thf(func_def_598,type,
sK190: int > ( int > $o ) > int ).
thf(func_def_599,type,
sK191: int > int > int ).
thf(func_def_600,type,
sK192: int > int > int ).
thf(func_def_601,type,
sK193: int > int > int ).
thf(func_def_602,type,
sK194: real > real > real ).
thf(func_def_603,type,
sK195: nat > nat > nat ).
thf(func_def_604,type,
sK196: nat > nat > nat ).
thf(func_def_605,type,
sK197: nat > nat > nat ).
thf(func_def_606,type,
sK198: nat > nat > nat ).
thf(func_def_607,type,
sK199: nat > nat > nat ).
thf(func_def_608,type,
sK200: nat > nat > nat ).
thf(func_def_609,type,
sK201: ( int > $o ) > int ).
thf(func_def_610,type,
sK202: nat > nat ).
thf(func_def_611,type,
sK203: nat > nat > nat ).
thf(func_def_612,type,
sK204: ( real > $o ) > real > real ).
thf(func_def_613,type,
sK205: real > ( real > $o ) > real ).
thf(func_def_614,type,
sK206: ( nat > real ) > nat ).
thf(func_def_615,type,
sK207: ( nat > real ) > nat ).
thf(func_def_616,type,
sK208: ( nat > real ) > nat ).
thf(func_def_617,type,
sK209: ( nat > real ) > nat ).
thf(func_def_618,type,
sK210: nat > nat > nat ).
thf(func_def_619,type,
sK211: nat > nat > nat ).
thf(func_def_620,type,
sK212: int > int > int ).
thf(func_def_621,type,
sK213: int > int > int ).
thf(func_def_622,type,
sK214: nat > nat > nat ).
thf(func_def_623,type,
sK215: int > int > int ).
thf(func_def_624,type,
sK216: nat > ( nat > $o ) > nat ).
thf(func_def_625,type,
sK217: nat > ( nat > $o ) > nat ).
thf(func_def_626,type,
sK218: nat > ( nat > $o ) > nat ).
thf(func_def_627,type,
sK219: nat > ( nat > $o ) > nat ).
thf(func_def_628,type,
sK220: nat > ( nat > $o ) > nat ).
thf(func_def_629,type,
sK221: nat > ( nat > $o ) > nat ).
thf(func_def_630,type,
sK222: nat > ( nat > $o ) > nat ).
thf(func_def_631,type,
sK223: nat > ( nat > $o ) > nat ).
thf(func_def_632,type,
sK224: complex > ( complex > $o ) > complex ).
thf(func_def_633,type,
sK225: complex > ( complex > $o ) > complex ).
thf(func_def_634,type,
sK226: code_code_numeral > ( code_code_numeral > $o ) > code_code_numeral ).
thf(func_def_635,type,
sK227: code_code_numeral > ( code_code_numeral > $o ) > code_code_numeral ).
thf(func_def_636,type,
sK228: quickcheck_code_int > ( quickcheck_code_int > $o ) > quickcheck_code_int ).
thf(func_def_637,type,
sK229: quickcheck_code_int > ( quickcheck_code_int > $o ) > quickcheck_code_int ).
thf(func_def_638,type,
sK230: rat > ( rat > $o ) > rat ).
thf(func_def_639,type,
sK231: rat > ( rat > $o ) > rat ).
thf(func_def_640,type,
sK232: real > ( real > $o ) > real ).
thf(func_def_641,type,
sK233: real > ( real > $o ) > real ).
thf(func_def_642,type,
sK234: nat > ( nat > $o ) > nat ).
thf(func_def_643,type,
sK235: nat > ( nat > $o ) > nat ).
thf(func_def_644,type,
sK236: int > ( int > $o ) > int ).
thf(func_def_645,type,
sK237: int > ( int > $o ) > int ).
thf(func_def_646,type,
sK238: int > ( nat > $o ) > nat ).
thf(func_def_647,type,
sK239: nat > nat > nat ).
thf(func_def_648,type,
sK240: nat > nat > nat ).
thf(func_def_649,type,
sK241: nat > nat > nat ).
thf(func_def_650,type,
sK242: nat > nat > nat ).
thf(func_def_651,type,
sK243: nat > nat > nat ).
thf(func_def_652,type,
sK244: nat > nat > nat ).
thf(func_def_653,type,
sK245: nat > nat > nat ).
thf(func_def_654,type,
sK246: int > int > int ).
thf(func_def_655,type,
sK247: int > int > nat ).
thf(func_def_656,type,
sK248: int > int > nat ).
thf(func_def_657,type,
sK249: nat > nat > nat ).
thf(func_def_658,type,
sK250: ( int > $o ) > int > int ).
thf(func_def_659,type,
sK251: ( int > $o ) > int > int ).
thf(func_def_660,type,
sK252: nat > nat > nat ).
thf(func_def_661,type,
sK253: nat > nat > nat ).
thf(func_def_662,type,
sK254: nat > real > real ).
thf(func_def_663,type,
sK255: real > nat > real ).
thf(func_def_664,type,
sK256: real > nat > real ).
thf(func_def_665,type,
sK257: real > nat > real ).
thf(func_def_666,type,
sK258: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_667,type,
sK259: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_668,type,
sK260: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_669,type,
sK261: code_code_numeral > code_code_numeral > code_code_numeral ).
thf(func_def_670,type,
sK262: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_671,type,
sK263: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_672,type,
sK264: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_673,type,
sK265: quickcheck_code_int > quickcheck_code_int > quickcheck_code_int ).
thf(func_def_674,type,
sK266: rat > rat > rat ).
thf(func_def_675,type,
sK267: rat > rat > rat ).
thf(func_def_676,type,
sK268: rat > rat > rat ).
thf(func_def_677,type,
sK269: rat > rat > rat ).
thf(func_def_678,type,
sK270: real > real > real ).
thf(func_def_679,type,
sK271: real > real > real ).
thf(func_def_680,type,
sK272: real > real > real ).
thf(func_def_681,type,
sK273: real > real > real ).
thf(func_def_682,type,
sK274: nat > nat > nat ).
thf(func_def_683,type,
sK275: nat > nat > nat ).
thf(func_def_684,type,
sK276: nat > nat > nat ).
thf(func_def_685,type,
sK277: nat > nat > nat ).
thf(func_def_686,type,
sK278: int > int > int ).
thf(func_def_687,type,
sK279: int > int > int ).
thf(func_def_688,type,
sK280: int > int > int ).
thf(func_def_689,type,
sK281: int > int > int ).
thf(func_def_690,type,
sK282: real > real > real ).
thf(func_def_691,type,
sK283: real > real > real ).
thf(func_def_692,type,
sK284: nat > nat > nat > nat ).
thf(func_def_693,type,
sK285: nat > nat > nat > nat ).
thf(func_def_694,type,
sK286: ( nat > real ) > real > real > nat ).
thf(func_def_695,type,
sK287: ( nat > nat ) > nat ).
thf(func_def_696,type,
sK288: ( nat > nat ) > nat ).
thf(func_def_697,type,
sK289: nat > ( nat > $o ) > nat ).
thf(func_def_698,type,
sK290: nat > real > ( nat > real ) > nat ).
thf(func_def_699,type,
sK291: nat > ( nat > int ) > int > nat ).
thf(func_def_700,type,
sK292: nat > ( nat > int ) > nat ).
thf(func_def_701,type,
sK293: nat > ( nat > int ) > int > nat ).
thf(func_def_702,type,
sK294: nat > ( nat > int ) > nat ).
thf(func_def_703,type,
sK295: real > ( nat > real ) > real ).
thf(func_def_704,type,
sK296: ( nat > nat > $o ) > nat ).
thf(func_def_705,type,
sK297: ( nat > nat > $o ) > nat ).
thf(func_def_706,type,
sK298: ( nat > nat > $o ) > nat ).
thf(func_def_707,type,
sK299: ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_708,type,
sK300: ( real > real ) > real ).
thf(func_def_709,type,
sK301: ( nat > real ) > nat ).
thf(func_def_710,type,
sK302: ( nat > nat ) > nat ).
thf(func_def_711,type,
sK303: ( nat > nat ) > nat ).
thf(func_def_712,type,
sK304: ( nat > nat ) > nat ).
thf(func_def_713,type,
sK305: ( nat > nat ) > nat ).
thf(func_def_714,type,
sK306: ( nat > nat ) > nat ).
thf(func_def_715,type,
sK307: ( produc914805421l_real > $o ) > real ).
thf(func_def_716,type,
sK308: ( produc914805421l_real > $o ) > real ).
thf(func_def_717,type,
sK309: ( produc914805421l_real > $o ) > real ).
thf(func_def_718,type,
sK310: ( produc914805421l_real > $o ) > real ).
thf(func_def_719,type,
sK311: real > ( produc914805421l_real > $o ) > real ).
thf(func_def_720,type,
sK312: real > ( produc914805421l_real > $o ) > real ).
thf(func_def_721,type,
sK313: ( produc914805421l_real > $o ) > real ).
thf(func_def_722,type,
sK314: ( produc914805421l_real > $o ) > real ).
thf(func_def_723,type,
sK315: ( produc914805421l_real > $o ) > real ).
thf(func_def_724,type,
sK316: nat > nat > nat > nat ).
thf(func_def_725,type,
sK317: ( nat > $o ) > nat ).
thf(func_def_726,type,
sK318: int > ( int > $o ) > int ).
thf(func_def_727,type,
sK319: int > ( int > $o ) > int ).
thf(func_def_728,type,
sK320: int > int > int > int ).
thf(func_def_729,type,
sK321: int > int > int > int ).
thf(func_def_730,type,
sK322: int > int > int > int ).
thf(func_def_731,type,
sK323: int > ( int > $o ) > int ).
thf(func_def_732,type,
sK324: int > ( int > $o ) > int ).
thf(func_def_733,type,
sK325: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_734,type,
sK326: int > ( int > $o ) > int ).
thf(func_def_735,type,
sK327: int > ( int > $o ) > int ).
thf(func_def_736,type,
sK328: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_737,type,
sK329: int > ( int > $o ) > int ).
thf(func_def_738,type,
sK330: int > ( int > $o ) > int ).
thf(func_def_739,type,
sK331: int > ( int > $o ) > ( int > int ) > int ).
thf(func_def_740,type,
sK332: int > ( int > $o ) > ( int > int ) > int ).
thf(func_def_741,type,
sK333: int > int > ( int > $o ) > int ).
thf(func_def_742,type,
sK334: int > int > ( int > $o ) > int ).
thf(func_def_743,type,
sK335: int > int > ( int > $o ) > int ).
thf(func_def_744,type,
sK336: int > int > ( int > $o ) > int ).
thf(func_def_745,type,
sK337: int > int > ( int > $o ) > int ).
thf(func_def_746,type,
sK338: int > int > ( int > $o ) > int ).
thf(func_def_747,type,
sK339: int > int > ( int > $o ) > int ).
thf(func_def_748,type,
sK340: int > int > ( int > $o ) > int ).
thf(func_def_749,type,
sK341: int > int > ( int > $o ) > int ).
thf(func_def_750,type,
sK342: int > int > ( int > $o ) > int ).
thf(func_def_751,type,
sK343: int > int > ( int > $o ) > int ).
thf(func_def_752,type,
sK344: int > int > ( int > $o ) > int ).
thf(func_def_753,type,
sK345: int > int > ( int > $o ) > int ).
thf(func_def_754,type,
sK346: int > int > ( int > $o ) > int ).
thf(func_def_755,type,
sK347: int > int > ( int > $o ) > int ).
thf(func_def_756,type,
sK348: int > int > ( int > $o ) > int ).
thf(func_def_757,type,
sK349: int > int > int > int ).
thf(func_def_758,type,
sK350: int > int > int > int ).
thf(func_def_759,type,
sK351: int > int > ( int > int > $o ) > int ).
thf(func_def_760,type,
sK352: int > int > ( int > int > $o ) > int ).
thf(func_def_761,type,
sK353: int > int > ( int > $o ) > int ).
thf(func_def_762,type,
sK354: int > int > ( int > $o ) > int ).
thf(func_def_763,type,
sK355: int > int > ( int > $o ) > int ).
thf(func_def_764,type,
sK356: int > int > ( int > $o ) > int ).
thf(func_def_765,type,
sK357: int > int > ( int > $o ) > int ).
thf(func_def_766,type,
sK358: int > int > ( int > $o ) > int ).
thf(func_def_767,type,
sK359: int > int > ( int > $o ) > int ).
thf(func_def_768,type,
sK360: int > int > ( int > $o ) > int ).
thf(func_def_769,type,
sK361: int > int > ( int > int > $o ) > int ).
thf(func_def_770,type,
sK362: int > int > ( int > int > $o ) > int ).
thf(func_def_771,type,
sK363: real > real > ( real > real ) > real ).
thf(func_def_772,type,
sK364: real > real > ( real > real ) > real ).
thf(func_def_773,type,
sK365: real > real > ( real > real ) > real ).
thf(func_def_774,type,
sK366: real > real > ( real > real ) > real ).
thf(func_def_775,type,
sK367: real > real > ( real > real ) > real ).
thf(func_def_776,type,
sK368: real > real > ( real > real ) > real ).
thf(func_def_777,type,
sK369: real > real > ( real > real ) > real ).
thf(func_def_778,type,
sK370: real > real > real > real ).
thf(func_def_779,type,
sK371: real > real > real > real ).
thf(func_def_780,type,
sK372: real > real > ( real > real ) > real ).
thf(func_def_781,type,
sK373: real > real > ( real > real ) > real ).
thf(func_def_782,type,
sK374: real > real > ( produc914805421l_real > $o ) > real ).
thf(func_def_783,type,
sK375: nat > ( nat > $o ) > nat ).
thf(func_def_784,type,
sK376: int > ( int > $o ) > int ).
thf(func_def_785,type,
sK377: int > ( int > $o ) > int ).
thf(func_def_786,type,
sK378: int > ( int > $o ) > int ).
thf(func_def_787,type,
sK379: int > ( int > $o ) > int ).
thf(func_def_788,type,
sK380: ( real > $o ) > real > real ).
thf(func_def_789,type,
sK381: nat > ( nat > real ) > real > nat ).
thf(func_def_790,type,
sK382: nat > ( nat > real ) > real > nat ).
thf(func_def_791,type,
sK383: real > ( real > real ) > real ).
thf(func_def_792,type,
sK384: real > ( real > real ) > real ).
thf(func_def_793,type,
sK385: real > ( real > real ) > real ).
thf(func_def_794,type,
sK386: real > ( real > real ) > real ).
thf(func_def_795,type,
sK387: ( nat > nat > $o ) > nat ).
thf(func_def_796,type,
sK388: ( nat > nat > $o ) > nat ).
thf(func_def_797,type,
sK389: ( int > int > $o ) > int ).
thf(func_def_798,type,
sK390: ( int > int > $o ) > int ).
thf(func_def_799,type,
sK391: ( int > int > $o ) > int ).
thf(func_def_800,type,
sK392: ( int > int > $o ) > int ).
thf(func_def_801,type,
sK393: ( int > int > $o ) > int ).
thf(func_def_802,type,
sK394: ( int > int > $o ) > int ).
thf(func_def_803,type,
sK395: ( int > int > $o ) > int ).
thf(func_def_804,type,
sK396: ( int > int > $o ) > int ).
thf(func_def_805,type,
sK397: ( int > int > $o ) > int ).
thf(func_def_806,type,
sK398: ( int > int > $o ) > int ).
thf(func_def_807,type,
sK399: real > ( real > real ) > real ).
thf(func_def_808,type,
sK400: real > ( real > real ) > real ).
thf(func_def_809,type,
sK401: real > ( real > real ) > real ).
thf(func_def_810,type,
sK402: nat > nat > nat > nat ).
thf(func_def_811,type,
sK403: nat > nat > nat > nat ).
thf(func_def_812,type,
sK404: int > int > int > int ).
thf(func_def_813,type,
sK405: nat > nat > nat > nat ).
thf(func_def_814,type,
sK406: nat > nat > ( nat > $o ) > nat ).
thf(func_def_815,type,
sK407: nat > nat > ( nat > $o ) > nat ).
thf(func_def_816,type,
sK408: nat > nat > ( nat > $o ) > nat ).
thf(func_def_817,type,
sK409: nat > nat > ( nat > $o ) > nat ).
thf(func_def_818,type,
sK410: nat > nat > ( nat > $o ) > nat ).
thf(func_def_819,type,
sK411: nat > nat > ( nat > $o ) > nat ).
thf(func_def_820,type,
sK412: nat > nat > ( nat > $o ) > nat ).
thf(func_def_821,type,
sK413: int > int > ( int > $o ) > int ).
thf(func_def_822,type,
sK414: int > int > ( int > $o ) > int ).
thf(func_def_823,type,
sK415: int > int > ( int > $o ) > int ).
thf(func_def_824,type,
sK416: int > int > ( int > $o ) > int ).
thf(func_def_825,type,
sK417: int > int > ( int > $o ) > int ).
thf(func_def_826,type,
sK418: int > int > ( int > $o ) > int ).
thf(func_def_827,type,
sK419: int > int > ( int > $o ) > int ).
thf(func_def_828,type,
sK420: int > int > ( int > $o ) > int ).
thf(func_def_829,type,
sK421: int > int > int > int ).
thf(func_def_830,type,
sK422: real > ( real > real ) > real ).
thf(func_def_831,type,
sK423: real > ( real > real ) > real ).
thf(func_def_832,type,
sK424: real > ( real > real ) > real ).
thf(func_def_833,type,
sK425: ( real > real ) > ( nat > real > real ) > nat > real > real ).
thf(func_def_834,type,
sK426: ( nat > real > real ) > nat > real > nat ).
thf(func_def_835,type,
sK427: ( nat > real > real ) > nat > real > real ).
thf(func_def_836,type,
sK428: ( real > real ) > ( nat > real > real ) > real > nat > real ).
thf(func_def_837,type,
sK429: ( nat > real > real ) > nat ).
thf(func_def_838,type,
sK430: ( nat > real > real ) > real ).
thf(func_def_839,type,
sK431: ( real > real ) > ( nat > real > real ) > nat > real > real ).
thf(func_def_840,type,
sK432: ( nat > real > real ) > nat ).
thf(func_def_841,type,
sK433: ( nat > real > real ) > real ).
thf(func_def_842,type,
sK434: nat > int > int ).
thf(func_def_843,type,
sK435: int > int > int ).
thf(func_def_844,type,
sK436: ( real > real ) > ( nat > real > real ) > real > nat > real ).
thf(func_def_845,type,
sK437: ( nat > real > real ) > nat ).
thf(func_def_846,type,
sK438: ( nat > real > real ) > real ).
thf(func_def_847,type,
sK439: ( real > real ) > ( nat > real > real ) > real > nat > real ).
thf(func_def_848,type,
sK440: ( nat > real > real ) > nat ).
thf(func_def_849,type,
sK441: ( nat > real > real ) > real ).
thf(func_def_850,type,
sK442: real > ( real > real ) > ( nat > real > real ) > nat > real ).
thf(func_def_851,type,
sK443: real > ( nat > real > real ) > nat > nat ).
thf(func_def_852,type,
sK444: real > ( nat > real > real ) > nat > real ).
thf(func_def_853,type,
sK445: real > nat > ( real > real ) > ( nat > real > real ) > real ).
thf(func_def_854,type,
sK446: real > nat > ( nat > real > real ) > nat ).
thf(func_def_855,type,
sK447: real > nat > ( nat > real > real ) > real ).
thf(func_def_856,type,
sK448: real > nat > ( real > real ) > ( nat > real > real ) > real ).
thf(func_def_857,type,
sK449: real > nat > ( nat > real > real ) > nat ).
thf(func_def_858,type,
sK450: real > nat > ( nat > real > real ) > real ).
thf(func_def_859,type,
sK451: nat > nat > ( nat > int ) > int > nat ).
thf(func_def_860,type,
sK452: nat > nat > ( nat > int ) > nat ).
thf(func_def_861,type,
sK453: nat > ( nat > $o ) > nat ).
thf(func_def_862,type,
sK454: ( produc914805421l_real > $o ) > real ).
thf(func_def_863,type,
sK455: ( produc914805421l_real > $o ) > real ).
thf(func_def_864,type,
sK456: ( produc914805421l_real > $o ) > real ).
thf(func_def_865,type,
sK457: nat > nat > nat ).
thf(func_def_866,type,
sK458: nat > nat > nat > nat ).
thf(func_def_867,type,
sK459: nat > nat > nat > nat ).
thf(func_def_868,type,
sK460: real > ( real > real ) > ( nat > real > real ) > nat > real ).
thf(func_def_869,type,
sK461: real > ( nat > real > real ) > nat > nat ).
thf(func_def_870,type,
sK462: real > ( nat > real > real ) > nat > real ).
thf(func_def_871,type,
sK463: real > ( real > real ) > ( real > real ) > real ).
thf(func_def_872,type,
sK464: real > real > ( real > real ) > real ).
thf(func_def_873,type,
sK465: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_874,type,
sK466: real > real > ( real > real ) > real ).
thf(func_def_875,type,
sK467: real > real > ( real > real ) > real ).
thf(func_def_876,type,
sK468: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_877,type,
sK469: real > real > ( real > real ) > real ).
thf(func_def_878,type,
sK470: real > real > ( real > real ) > real ).
thf(func_def_879,type,
sK471: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_880,type,
sK472: real > real > ( real > real ) > real ).
thf(func_def_881,type,
sK473: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_882,type,
sK474: real > nat > ( real > real ) > ( nat > real > real ) > real ).
thf(func_def_883,type,
sK475: real > nat > ( nat > real > real ) > nat ).
thf(func_def_884,type,
sK476: real > nat > ( nat > real > real ) > real ).
thf(func_def_885,type,
sK477: real > nat > ( nat > real ) > ( real > real ) > real ).
thf(func_def_886,type,
sK478: real > nat > ( real > real ) > ( nat > real > real ) > real ).
thf(func_def_887,type,
sK479: real > nat > ( nat > real > real ) > nat ).
thf(func_def_888,type,
sK480: real > nat > ( nat > real > real ) > real ).
thf(func_def_889,type,
sK481: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_890,type,
sK482: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_891,type,
sK483: int > ( int > $o ) > int ).
thf(func_def_892,type,
sK484: int > ( int > $o ) > int ).
thf(func_def_893,type,
sK485: int > ( int > $o ) > int ).
thf(func_def_894,type,
sK486: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_895,type,
sK487: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_896,type,
sK488: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_897,type,
sK489: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_898,type,
sK490: int > ( int > $o ) > int ).
thf(func_def_899,type,
sK491: int > ( int > $o ) > int ).
thf(func_def_900,type,
sK492: int > ( int > $o ) > int ).
thf(func_def_901,type,
sK493: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_902,type,
sK494: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_903,type,
sK495: real > real > ( real > real ) > real ).
thf(func_def_904,type,
sK496: real > real > ( real > real ) > real ).
thf(func_def_905,type,
sK497: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_906,type,
sK498: real > real > ( real > real ) > ( real > real ) > real ).
thf(func_def_907,type,
sK499: nat > nat > nat > nat ).
thf(func_def_908,type,
sK500: nat > nat > nat > nat ).
thf(func_def_909,type,
sK501: int > int > ( int > $o ) > int ).
thf(func_def_910,type,
sK502: int > int > ( int > $o ) > int ).
thf(func_def_911,type,
sK503: int > int > ( int > $o ) > int ).
thf(func_def_912,type,
sK504: int > int > ( int > $o ) > int ).
thf(func_def_913,type,
sK505: int > int > ( int > $o ) > int ).
thf(func_def_914,type,
sK506: int > int > ( int > $o ) > int ).
thf(func_def_915,type,
sK507: int > int > ( int > $o ) > int ).
thf(func_def_916,type,
sK508: int > int > ( int > $o ) > int ).
thf(func_def_917,type,
sK509: ( real > $o ) > real > real ).
thf(func_def_918,type,
sK510: nat > ( nat > real ) > ( nat > real ) > nat ).
thf(func_def_919,type,
sK511: real > ( real > real ) > real > real ).
thf(func_def_920,type,
sK512: real > ( real > real ) > real > real ).
thf(func_def_921,type,
sK513: real > ( real > real ) > real > real ).
thf(func_def_922,type,
sK514: nat > int > int > int > int ).
thf(func_def_923,type,
sK515: nat > int > int > int > int ).
thf(func_def_924,type,
sK516: nat > int > int > int > int ).
thf(func_def_925,type,
sK517: int > int > int > int > int ).
thf(func_def_926,type,
sK518: int > int > int > int > int ).
thf(func_def_927,type,
sK519: int > int > int > int > int ).
thf(func_def_928,type,
sK520: nat > nat > ( nat > real > real ) > real > ( nat > real > real ) > nat ).
thf(func_def_929,type,
sK521: nat > real > ( nat > real > real ) > nat ).
thf(func_def_930,type,
sK522: nat > real > ( nat > real > real ) > real ).
thf(func_def_931,type,
sK523: real > real > ( real > real ) > real ).
thf(func_def_932,type,
sK524: ( real > real ) > ( real > real ) > real > real > real ).
thf(func_def_933,type,
sK525: int > int > int > int > int > int > int > int > int > int ).
thf(func_def_934,type,
sK526: int > int > int > int > int > int > int > int > int > int ).
thf(func_def_935,type,
sK527: real ).
thf(func_def_936,type,
sK528: real ).
thf(func_def_937,type,
sK529: real ).
thf(func_def_938,type,
sK530: real ).
thf(func_def_939,type,
sK531: real ).
thf(func_def_940,type,
sK532: real ).
thf(func_def_941,type,
sK533: real ).
thf(func_def_942,type,
sK534: int ).
thf(func_def_943,type,
sK535: real ).
thf(func_def_944,type,
sK536: real ).
thf(func_def_945,type,
sK537: real ).
thf(func_def_947,type,
sK539: ( int > $o ) > int ).
thf(func_def_948,type,
sK540: ( int > $o ) > int ).
thf(func_def_949,type,
sK541: ( int > $o ) > int ).
thf(func_def_950,type,
sK542: ( int > $o ) > int ).
thf(func_def_951,type,
sK543: ( int > $o ) > int ).
thf(func_def_952,type,
sK544: ( int > $o ) > int ).
thf(func_def_953,type,
sK545: ( int > $o ) > int ).
thf(func_def_954,type,
sK546: ( int > $o ) > int ).
thf(func_def_955,type,
sK547: ( int > $o ) > int ).
thf(func_def_956,type,
sK548: ( int > $o ) > int ).
thf(func_def_957,type,
sK549: ( int > $o ) > int ).
thf(func_def_958,type,
sK550: ( int > $o ) > int ).
thf(func_def_959,type,
sK551: ( int > $o ) > int ).
thf(func_def_960,type,
sK552: ( int > $o ) > int ).
thf(func_def_961,type,
sK553: ( int > $o ) > int ).
thf(func_def_962,type,
sK554: ( int > $o ) > int ).
thf(func_def_963,type,
sK555: ( int > $o ) > int ).
thf(func_def_964,type,
sK556: ( int > $o ) > int ).
thf(func_def_965,type,
sK557: ( int > $o ) > int ).
thf(func_def_966,type,
sK558: ( int > $o ) > int ).
thf(func_def_967,type,
sK559: ( int > $o ) > int ).
thf(func_def_968,type,
sK560: ( int > $o ) > int ).
thf(func_def_969,type,
sK561: ( int > $o ) > int ).
thf(func_def_970,type,
sK562: ( int > $o ) > int ).
thf(func_def_971,type,
sK563: ( int > $o ) > int ).
thf(func_def_972,type,
sK564: ( int > $o ) > int ).
thf(func_def_973,type,
sK565: ( int > $o ) > int ).
thf(func_def_974,type,
sK566: ( int > $o ) > int ).
thf(func_def_975,type,
sK567: ( int > $o ) > int ).
thf(func_def_976,type,
sK568: ( nat > $o ) > nat ).
thf(f44737,plain,
$false,
inference(subsumption_resolution,[],[f44736,f28343]) ).
thf(f28343,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) != $true,
inference(subsumption_resolution,[],[f19172,f18933]) ).
thf(f18933,plain,
! [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ),
inference(cnf_transformation,[],[f13634]) ).
thf(f13634,plain,
! [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) != vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ),
inference(ennf_transformation,[],[f5213]) ).
thf(f5213,negated_conjecture,
~ ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ),
inference(negated_conjecture,[],[f5212]) ).
thf(f5212,conjecture,
? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f19172,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK3),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK4),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) != $true ) ),
inference(cnf_transformation,[],[f17307]) ).
thf(f17307,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK3),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK4),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) != $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f13637,f17306]) ).
thf(f17306,plain,
( ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) )
=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK3),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK4),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(choice_axiom,[]) ).
thf(f13637,plain,
( ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) != $true ) ),
inference(ennf_transformation,[],[f5240]) ).
thf(f5240,plain,
( ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) = $true )
=> ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ) ),
inference(fool_elimination,[],[f5239]) ).
thf(f5239,plain,
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t)
=> ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t)
=> ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
thf(f44736,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) = $true,
inference(subsumption_resolution,[],[f44731,f28337]) ).
thf(f28337,plain,
one_one_int != t,
inference(subsumption_resolution,[],[f19170,f18933]) ).
thf(f19170,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK2),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( one_one_int != t ) ),
inference(cnf_transformation,[],[f17305]) ).
thf(f17305,plain,
( ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK2),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) )
| ( one_one_int != t ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f13635,f17304]) ).
thf(f17304,plain,
( ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) )
=> ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,sK2),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) ) ),
introduced(choice_axiom,[]) ).
thf(f13635,plain,
( ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) )
| ( one_one_int != t ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f2,axiom,
( ( one_one_int = t )
=> ? [X0: int,X1: int] : ( vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X0),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),vAPP(nat,int,vAPP(int,sTfun(nat,int),power_power_int,X1),vAPP(int,nat,number_number_of_nat,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))) = vAPP(int,int,vAPP(int,sTfun(int,int),plus_plus_int,vAPP(int,int,vAPP(int,sTfun(int,int),times_times_int,vAPP(int,int,number_number_of_int,vAPP(int,int,bit0,vAPP(int,int,bit0,vAPP(int,int,bit1,pls))))),m)),one_one_int) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
thf(f44731,plain,
( ( one_one_int = t )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) = $true ) ),
inference(trivial_inequality_removal,[],[f44679]) ).
thf(f44679,plain,
( ( $true != $true )
| ( one_one_int = t )
| ( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,one_one_int),t) = $true ) ),
inference(superposition,[],[f22337,f25924]) ).
thf(f25924,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true,
inference(cnf_transformation,[],[f11362]) ).
thf(f11362,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t) = $true,
inference(fool_elimination,[],[f11361]) ).
thf(f11361,plain,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,one_one_int),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
thf(f22337,plain,
! [X0: int,X1: int] :
( ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) )
| ( X0 = X1 )
| ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) ) ),
inference(cnf_transformation,[],[f15286]) ).
thf(f15286,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) )
| ( X0 = X1 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(flattening,[],[f15285]) ).
thf(f15285,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) )
| ( X0 = X1 )
| ( $true != vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) ) ),
inference(ennf_transformation,[],[f8172]) ).
thf(f8172,plain,
! [X0: int,X1: int] :
( ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1) )
=> ( ( X0 != X1 )
=> ( $true = vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) ) ) ),
inference(fool_elimination,[],[f8171]) ).
thf(f8171,plain,
! [X0: int,X1: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X0),X1)
=> ( ( X0 != X1 )
=> vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X0),X1) ) ),
inference(rectify,[],[f1012]) ).
thf(f1012,axiom,
! [X329: int,X330: int] :
( vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_eq_int,X329),X330)
=> ( ( X329 != X330 )
=> vAPP(int,$o,vAPP(int,sTfun(int,$o),ord_less_int,X329),X330) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1011_order__le__neq__implies__less) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM926^4 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 14:59:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (7228)Running in auto input_syntax mode. Trying TPTP
% 0.45/0.62 % (7231)WARNING: value z3 for option sas not known
% 0.45/0.63 % (7229)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.45/0.63 % (7232)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.45/0.63 % (7231)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.45/0.63 % (7233)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.45/0.63 % (7230)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.45/0.63 % (7234)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.45/0.63 % (7235)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.46/0.98 % (7235)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.46/1.04 % Exception at run slice level
% 0.46/1.04 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.46/1.05 % (7236)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.46/1.06 % Exception at run slice level
% 0.46/1.06 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.46/1.07 % (7237)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 1.32/1.09 % Exception at run slice level
% 1.32/1.09 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.32/1.10 % (7238)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 5.27/1.36 % (7237)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.72/1.40 % (7236)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.34/1.48 % Exception at run slice level
% 6.34/1.48 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 6.51/1.49 % (7239)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 254.40/36.99 % (7239)Time limit reached!
% 254.40/36.99 % (7239)------------------------------
% 254.40/36.99 % (7239)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 254.40/36.99 % (7239)Termination reason: Time limit
% 254.40/36.99 % (7239)Termination phase: Saturation
% 254.40/36.99
% 254.40/36.99 % (7239)Memory used [KB]: 156143
% 254.40/36.99 % (7239)Time elapsed: 35.500 s
% 254.40/36.99 % (7239)Instructions burned: 86715 (million)
% 254.40/36.99 % (7239)------------------------------
% 254.40/36.99 % (7239)------------------------------
% 255.09/37.03 % (7608)WARNING: value z3 for option sas not known
% 255.09/37.03 % (7608)ott-11_10:1_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:fsd=off:fde=none:gsp=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sas=z3:sp=occurrence_186 on theBenchmark for (186ds/0Mi)
% 256.88/37.33 % (7608)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 261.23/37.90 % (7238)Time limit reached!
% 261.23/37.90 % (7238)------------------------------
% 261.23/37.90 % (7238)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 261.23/37.90 % (7238)Termination reason: Time limit
% 261.23/37.90 % (7238)Termination phase: Saturation
% 261.23/37.90
% 261.23/37.90 % (7238)Memory used [KB]: 127435
% 261.23/37.90 % (7238)Time elapsed: 36.800 s
% 261.23/37.90 % (7238)Instructions burned: 94500 (million)
% 261.23/37.90 % (7238)------------------------------
% 261.23/37.90 % (7238)------------------------------
% 261.44/37.94 % (7609)dis-3_1_acc=on:anc=none:bd=preordered:fsd=off:fsr=off:fde=none:gs=on:gsem=on:lcm=predicate:lma=on:msp=off:nm=4:nicw=on:sims=off:sp=weighted_frequency:urr=ec_only_180 on theBenchmark for (180ds/0Mi)
% 266.83/38.76 % (7608)First to succeed.
% 266.83/38.77 % (7608)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7228"
% 266.83/38.77 % (7608)Refutation found. Thanks to Tanya!
% 266.83/38.77 % SZS status Theorem for theBenchmark
% 266.83/38.77 % SZS output start Proof for theBenchmark
% See solution above
% 266.83/38.78 % (7608)------------------------------
% 266.83/38.78 % (7608)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 266.83/38.78 % (7608)Termination reason: Refutation
% 266.83/38.78
% 266.83/38.78 % (7608)Memory used [KB]: 23861
% 266.83/38.78 % (7608)Time elapsed: 1.743 s
% 266.83/38.78 % (7608)Instructions burned: 5218 (million)
% 266.83/38.78 % (7228)Success in time 38.412 s
%------------------------------------------------------------------------------