%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP246^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:09:23 AM UTC 2026
% Result : Theorem 14.64s 6.48s
% Output : Refutation 14.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 27 unt; 0 typ; 5 def)
% Number of atoms : 185 ( 56 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 552 ( 50 ~; 38 |; 0 &; 449 @)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 85 ( 84 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1296 (1293 usr; 75 con; 0-8 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc3368934014287244435at_num: $tType ).
thf(type_def_6,type,
produc4471711990508489141at_nat: $tType ).
thf(type_def_7,type,
set_Pr8693737435421807431at_nat: $tType ).
thf(type_def_8,type,
produc859450856879609959at_nat: $tType ).
thf(type_def_9,type,
set_fi4554929511873752355omplex: $tType ).
thf(type_def_10,type,
list_P7413028617227757229T_VEBT: $tType ).
thf(type_def_11,type,
produc2963631642982155120at_num: $tType ).
thf(type_def_12,type,
produc7248412053542808358at_nat: $tType ).
thf(type_def_13,type,
set_fi7789364187291644575l_real: $tType ).
thf(type_def_14,type,
filter6041513312241820739omplex: $tType ).
thf(type_def_15,type,
list_P7037539587688870467BT_nat: $tType ).
thf(type_def_16,type,
list_P4547456442757143711BT_int: $tType ).
thf(type_def_17,type,
list_P5647936690300460905T_VEBT: $tType ).
thf(type_def_18,type,
produc8243902056947475879T_VEBT: $tType ).
thf(type_def_19,type,
set_Pr5085853215250843933omplex: $tType ).
thf(type_def_20,type,
produc8923325533196201883nteger: $tType ).
thf(type_def_21,type,
produc7272778201969148633d_enat: $tType ).
thf(type_def_22,type,
list_P3126845725202233233VEBT_o: $tType ).
thf(type_def_23,type,
list_P7495141550334521929T_VEBT: $tType ).
thf(type_def_24,type,
filter2146258269922977983l_real: $tType ).
thf(type_def_25,type,
option4927543243414619207at_nat: $tType ).
thf(type_def_26,type,
filter1242075044329608583at_nat: $tType ).
thf(type_def_27,type,
set_Pr6218003697084177305l_real: $tType ).
thf(type_def_28,type,
list_P3744719386663036955um_num: $tType ).
thf(type_def_29,type,
list_P1726324292696863441at_num: $tType ).
thf(type_def_30,type,
produc9072475918466114483BT_nat: $tType ).
thf(type_def_31,type,
produc4894624898956917775BT_int: $tType ).
thf(type_def_32,type,
set_Pr1261947904930325089at_nat: $tType ).
thf(type_def_33,type,
set_Pr958786334691620121nt_int: $tType ).
thf(type_def_34,type,
produc4411394909380815293omplex: $tType ).
thf(type_def_35,type,
list_P7333126701944960589_nat_o: $tType ).
thf(type_def_36,type,
list_P6285523579766656935_o_nat: $tType ).
thf(type_def_37,type,
list_P3795440434834930179_o_int: $tType ).
thf(type_def_38,type,
produc334124729049499915VEBT_o: $tType ).
thf(type_def_39,type,
produc2504756804600209347T_VEBT: $tType ).
thf(type_def_40,type,
produc6271795597528267376eger_o: $tType ).
thf(type_def_41,type,
produc2422161461964618553l_real: $tType ).
thf(type_def_42,type,
product_prod_num_num: $tType ).
thf(type_def_43,type,
product_prod_nat_num: $tType ).
thf(type_def_44,type,
product_prod_nat_nat: $tType ).
thf(type_def_45,type,
product_prod_int_int: $tType ).
thf(type_def_46,type,
list_P4002435161011370285od_o_o: $tType ).
thf(type_def_47,type,
list_list_nat: $tType ).
thf(type_def_48,type,
list_VEBT_VEBT: $tType ).
thf(type_def_49,type,
set_list_nat: $tType ).
thf(type_def_50,type,
product_prod_o_nat: $tType ).
thf(type_def_51,type,
product_prod_o_int: $tType ).
thf(type_def_52,type,
set_VEBT_VEBT: $tType ).
thf(type_def_53,type,
set_set_nat: $tType ).
thf(type_def_54,type,
set_Code_integer: $tType ).
thf(type_def_55,type,
list_Extended_enat: $tType ).
thf(type_def_56,type,
set_Product_unit: $tType ).
thf(type_def_57,type,
set_Extended_enat: $tType ).
thf(type_def_58,type,
list_complex: $tType ).
thf(type_def_59,type,
product_prod_o_o: $tType ).
thf(type_def_60,type,
set_complex: $tType ).
thf(type_def_61,type,
filter_real: $tType ).
thf(type_def_62,type,
option_num: $tType ).
thf(type_def_63,type,
option_nat: $tType ).
thf(type_def_64,type,
filter_nat: $tType ).
thf(type_def_65,type,
set_char: $tType ).
thf(type_def_66,type,
list_real: $tType ).
thf(type_def_67,type,
set_real: $tType ).
thf(type_def_68,type,
list_num: $tType ).
thf(type_def_69,type,
list_nat: $tType ).
thf(type_def_70,type,
list_int: $tType ).
thf(type_def_71,type,
vEBT_VEBT: $tType ).
thf(type_def_72,type,
set_rat: $tType ).
thf(type_def_73,type,
set_num: $tType ).
thf(type_def_74,type,
set_nat: $tType ).
thf(type_def_75,type,
set_int: $tType ).
thf(type_def_76,type,
code_integer: $tType ).
thf(type_def_77,type,
product_unit: $tType ).
thf(type_def_78,type,
extended_enat: $tType ).
thf(type_def_79,type,
list_o: $tType ).
thf(type_def_80,type,
complex: $tType ).
thf(type_def_81,type,
literal: $tType ).
thf(type_def_82,type,
set_o: $tType ).
thf(type_def_83,type,
char: $tType ).
thf(type_def_84,type,
real: $tType ).
thf(type_def_85,type,
rat: $tType ).
thf(type_def_86,type,
num: $tType ).
thf(type_def_87,type,
nat: $tType ).
thf(type_def_88,type,
int: $tType ).
thf(type_def_89,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
archim2889992004027027881ng_rat: rat > int ).
thf(func_def_1,type,
archim7802044766580827645g_real: real > int ).
thf(func_def_2,type,
archim3151403230148437115or_rat: rat > int ).
thf(func_def_3,type,
archim6058952711729229775r_real: real > int ).
thf(func_def_4,type,
archimedean_frac_rat: rat > rat ).
thf(func_def_5,type,
archim2898591450579166408c_real: real > real ).
thf(func_def_6,type,
archim7778729529865785530nd_rat: rat > int ).
thf(func_def_7,type,
archim8280529875227126926d_real: real > int ).
thf(func_def_8,type,
bNF_re1962705104956426057at_rat: ( ( nat > rat ) > ( nat > rat ) > $o ) > ( ( ( nat > rat ) > nat > rat ) > ( ( nat > rat ) > nat > rat ) > $o ) > ( ( nat > rat ) > ( nat > rat ) > nat > rat ) > ( ( nat > rat ) > ( nat > rat ) > nat > rat ) > $o ).
thf(func_def_9,type,
bNF_re895249473297799549at_rat: ( ( nat > rat ) > ( nat > rat ) > $o ) > ( ( nat > rat ) > ( nat > rat ) > $o ) > ( ( nat > rat ) > nat > rat ) > ( ( nat > rat ) > nat > rat ) > $o ).
thf(func_def_10,type,
bNF_re728719798268516973at_o_o: ( ( nat > rat ) > ( nat > rat ) > $o ) > ( $o > $o > $o ) > ( ( nat > rat ) > $o ) > ( ( nat > rat ) > $o ) > $o ).
thf(func_def_11,type,
bNF_re4695409256820837752l_real: ( ( nat > rat ) > real > $o ) > ( ( ( nat > rat ) > nat > rat ) > ( real > real ) > $o ) > ( ( nat > rat ) > ( nat > rat ) > nat > rat ) > ( real > real > real ) > $o ).
thf(func_def_12,type,
bNF_re4521903465945308077real_o: ( ( nat > rat ) > real > $o ) > ( ( ( nat > rat ) > $o ) > ( real > $o ) > $o ) > ( ( nat > rat ) > ( nat > rat ) > $o ) > ( real > real > $o ) > $o ).
thf(func_def_13,type,
bNF_re3023117138289059399t_real: ( ( nat > rat ) > real > $o ) > ( ( nat > rat ) > real > $o ) > ( ( nat > rat ) > nat > rat ) > ( real > real ) > $o ).
thf(func_def_14,type,
bNF_re4297313714947099218al_o_o: ( ( nat > rat ) > real > $o ) > ( $o > $o > $o ) > ( ( nat > rat ) > $o ) > ( real > $o ) > $o ).
thf(func_def_15,type,
bNF_re3403563459893282935_int_o: ( int > int > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( int > int > $o ) > ( int > int > $o ) > $o ).
thf(func_def_16,type,
bNF_re711492959462206631nt_int: ( int > int > $o ) > ( ( int > int ) > ( int > int ) > $o ) > ( int > int > int ) > ( int > int > int ) > $o ).
thf(func_def_17,type,
bNF_re5089333283451836215nt_o_o: ( int > int > $o ) > ( $o > $o > $o ) > ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_18,type,
bNF_re4712519889275205905nt_int: ( int > int > $o ) > ( int > int > $o ) > ( int > int ) > ( int > int ) > $o ).
thf(func_def_19,type,
bNF_re578469030762574527_nat_o: ( nat > nat > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_20,type,
bNF_re1345281282404953727at_nat: ( nat > nat > $o ) > ( ( nat > nat ) > ( nat > nat ) > $o ) > ( nat > nat > nat ) > ( nat > nat > nat ) > $o ).
thf(func_def_21,type,
bNF_re4705727531993890431at_o_o: ( nat > nat > $o ) > ( $o > $o > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_22,type,
bNF_re5653821019739307937at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > ( nat > nat ) > ( nat > nat ) > $o ).
thf(func_def_23,type,
bNF_re8402795839162346335um_int: ( num > num > $o ) > ( ( num > int ) > ( num > int ) > $o ) > ( num > num > int ) > ( num > num > int ) > $o ).
thf(func_def_24,type,
bNF_re1822329894187522285nt_int: ( num > num > $o ) > ( int > int > $o ) > ( num > int ) > ( num > int ) > $o ).
thf(func_def_25,type,
bNF_re5228765855967844073nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > ( ( product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > $o ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > $o ).
thf(func_def_26,type,
bNF_re8699439704749558557nt_o_o: ( product_prod_int_int > product_prod_int_int > $o ) > ( $o > $o > $o ) > ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).
thf(func_def_27,type,
bNF_re7145576690424134365nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > $o ).
thf(func_def_28,type,
bNF_re7627151682743391978at_rat: ( product_prod_int_int > rat > $o ) > ( ( product_prod_int_int > product_prod_int_int ) > ( rat > rat ) > $o ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > ( rat > rat > rat ) > $o ).
thf(func_def_29,type,
bNF_re1494630372529172596at_o_o: ( product_prod_int_int > rat > $o ) > ( $o > $o > $o ) > ( product_prod_int_int > $o ) > ( rat > $o ) > $o ).
thf(func_def_30,type,
bNF_re8279943556446156061nt_rat: ( product_prod_int_int > rat > $o ) > ( product_prod_int_int > rat > $o ) > ( product_prod_int_int > product_prod_int_int ) > ( rat > rat ) > $o ).
thf(func_def_31,type,
bNF_re717283939379294677_int_o: ( product_prod_nat_nat > int > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > int > $o ) > $o ).
thf(func_def_32,type,
bNF_re7408651293131936558nt_int: ( product_prod_nat_nat > int > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( int > int > int ) > $o ).
thf(func_def_33,type,
bNF_re6644619430987730960nt_o_o: ( product_prod_nat_nat > int > $o ) > ( $o > $o > $o ) > ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ).
thf(func_def_34,type,
bNF_re4555766996558763186at_nat: ( product_prod_nat_nat > int > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ).
thf(func_def_35,type,
bNF_re7400052026677387805at_int: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ).
thf(func_def_36,type,
bNF_re4202695980764964119_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
thf(func_def_37,type,
bNF_re3099431351363272937at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > $o ).
thf(func_def_38,type,
bNF_re3666534408544137501at_o_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( $o > $o > $o ) > ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).
thf(func_def_39,type,
bNF_re8246922863344978751at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > $o ).
thf(func_def_40,type,
bNF_re2241393799969408733at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > $o ).
thf(func_def_41,type,
binomial: nat > nat > nat ).
thf(func_def_42,type,
gbinomial_complex: complex > nat > complex ).
thf(func_def_43,type,
gbinomial_int: int > nat > int ).
thf(func_def_44,type,
gbinomial_nat: nat > nat > nat ).
thf(func_def_45,type,
gbinomial_rat: rat > nat > rat ).
thf(func_def_46,type,
gbinomial_real: real > nat > real ).
thf(func_def_47,type,
bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_48,type,
bit_and_not_num: num > num > option_num ).
thf(func_def_49,type,
bit_and_not_num_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(func_def_50,type,
bit_concat_bit: nat > int > int > int ).
thf(func_def_51,type,
bit_or_not_num_neg: num > num > num ).
thf(func_def_52,type,
bit_or3848514188828904588eg_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(func_def_53,type,
bit_ri7632146776885996613nteger: code_integer > code_integer ).
thf(func_def_54,type,
bit_ri7919022796975470100ot_int: int > int ).
thf(func_def_55,type,
bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).
thf(func_def_56,type,
bit_ri631733984087533419it_int: nat > int > int ).
thf(func_def_57,type,
bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).
thf(func_def_58,type,
bit_se725231765392027082nd_int: int > int > int ).
thf(func_def_59,type,
bit_se727722235901077358nd_nat: nat > nat > nat ).
thf(func_def_60,type,
bit_se8568078237143864401it_int: nat > int > int ).
thf(func_def_61,type,
bit_se8570568707652914677it_nat: nat > nat > nat ).
thf(func_def_62,type,
bit_se1345352211410354436nteger: nat > code_integer > code_integer ).
thf(func_def_63,type,
bit_se2159334234014336723it_int: nat > int > int ).
thf(func_def_64,type,
bit_se2161824704523386999it_nat: nat > nat > nat ).
thf(func_def_65,type,
bit_se2119862282449309892nteger: nat > code_integer ).
thf(func_def_66,type,
bit_se2000444600071755411sk_int: nat > int ).
thf(func_def_67,type,
bit_se2002935070580805687sk_nat: nat > nat ).
thf(func_def_68,type,
bit_se1409905431419307370or_int: int > int > int ).
thf(func_def_69,type,
bit_se1412395901928357646or_nat: nat > nat > nat ).
thf(func_def_70,type,
bit_se7788150548672797655nteger: nat > code_integer > code_integer ).
thf(func_def_71,type,
bit_se545348938243370406it_int: nat > int > int ).
thf(func_def_72,type,
bit_se547839408752420682it_nat: nat > nat > nat ).
thf(func_def_73,type,
bit_se2793503036327961859nteger: nat > code_integer > code_integer ).
thf(func_def_74,type,
bit_se7879613467334960850it_int: nat > int > int ).
thf(func_def_75,type,
bit_se7882103937844011126it_nat: nat > nat > nat ).
thf(func_def_76,type,
bit_se1745604003318907178nteger: nat > code_integer > code_integer ).
thf(func_def_77,type,
bit_se2923211474154528505it_int: nat > int > int ).
thf(func_def_78,type,
bit_se2925701944663578781it_nat: nat > nat > nat ).
thf(func_def_79,type,
bit_se8260200283734997820nteger: nat > code_integer > code_integer ).
thf(func_def_80,type,
bit_se4203085406695923979it_int: nat > int > int ).
thf(func_def_81,type,
bit_se4205575877204974255it_nat: nat > nat > nat ).
thf(func_def_82,type,
bit_se3222712562003087583nteger: code_integer > code_integer > code_integer ).
thf(func_def_83,type,
bit_se6526347334894502574or_int: int > int > int ).
thf(func_def_84,type,
bit_se6528837805403552850or_nat: nat > nat > nat ).
thf(func_def_85,type,
bit_se9216721137139052372nteger: code_integer > nat > $o ).
thf(func_def_86,type,
bit_se1146084159140164899it_int: int > nat > $o ).
thf(func_def_87,type,
bit_se1148574629649215175it_nat: nat > nat > $o ).
thf(func_def_88,type,
bit_take_bit_num: nat > num > option_num ).
thf(func_def_89,type,
bit_un1837492267222099188nd_num: num > num > option_num ).
thf(func_def_90,type,
bit_un5425074673868309765um_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(func_def_91,type,
bit_un6178654185764691216or_num: num > num > option_num ).
thf(func_def_92,type,
bit_un3595099601533988841um_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(func_def_93,type,
bit_un7362597486090784418nd_num: num > num > option_num ).
thf(func_def_94,type,
bit_un4731106466462545111um_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(func_def_95,type,
bit_un2480387367778600638or_num: num > num > option_num ).
thf(func_def_96,type,
bit_un2901131394128224187um_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(func_def_97,type,
code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).
thf(func_def_98,type,
code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_99,type,
code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_100,type,
code_int_of_integer: code_integer > int ).
thf(func_def_101,type,
code_integer_of_int: int > code_integer ).
thf(func_def_102,type,
code_integer_of_num: num > code_integer ).
thf(func_def_103,type,
code_nat_of_integer: code_integer > nat ).
thf(func_def_104,type,
code_num_of_integer: code_integer > num ).
thf(func_def_105,type,
comple2295165028678016749d_enat: set_Extended_enat > extended_enat ).
thf(func_def_106,type,
comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).
thf(func_def_107,type,
comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).
thf(func_def_108,type,
comple4887499456419720421f_real: set_real > real ).
thf(func_def_109,type,
comple7806235888213564991et_nat: set_set_nat > set_nat ).
thf(func_def_110,type,
comple4398354569131411667d_enat: set_Extended_enat > extended_enat ).
thf(func_def_111,type,
comple1385675409528146559p_real: set_real > real ).
thf(func_def_112,type,
comple7399068483239264473et_nat: set_set_nat > set_nat ).
thf(func_def_113,type,
arg: complex > real ).
thf(func_def_114,type,
cis: real > complex ).
thf(func_def_115,type,
cnj: complex > complex ).
thf(func_def_116,type,
complex2: real > real > complex ).
thf(func_def_117,type,
im: complex > real ).
thf(func_def_118,type,
re: complex > real ).
thf(func_def_119,type,
csqrt: complex > complex ).
thf(func_def_120,type,
imaginary_unit: complex ).
thf(func_def_121,type,
rcis: real > real > complex ).
thf(func_def_122,type,
differ6690327859849518006l_real: ( real > real ) > filter_real > $o ).
thf(func_def_123,type,
has_de1759254742604945161l_real: ( real > real ) > ( real > real ) > filter_real > $o ).
thf(func_def_124,type,
has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).
thf(func_def_125,type,
has_ve631408500373753343e_real: ( real > real ) > real > filter_real > $o ).
thf(func_def_126,type,
adjust_div: product_prod_int_int > int ).
thf(func_def_127,type,
adjust_mod: int > int > int ).
thf(func_def_128,type,
divmod_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_129,type,
eucl_rel_int: int > int > product_prod_int_int > $o ).
thf(func_def_130,type,
unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).
thf(func_def_131,type,
unique6319869463603278526ux_int: product_prod_int_int > $o ).
thf(func_def_132,type,
unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).
thf(func_def_133,type,
unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).
thf(func_def_134,type,
unique5052692396658037445od_int: num > num > product_prod_int_int ).
thf(func_def_135,type,
unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).
thf(func_def_136,type,
unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_137,type,
unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).
thf(func_def_138,type,
unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_139,type,
euclid4774559944035922753ze_int: int > nat ).
thf(func_def_140,type,
euclid4777050414544973029ze_nat: nat > nat ).
thf(func_def_141,type,
euclid3395696857347342551nt_int: int > int ).
thf(func_def_142,type,
euclid3398187327856392827nt_nat: nat > nat ).
thf(func_def_143,type,
extended_eSuc: extended_enat > extended_enat ).
thf(func_def_144,type,
extended_enat2: nat > extended_enat ).
thf(func_def_145,type,
extended_case_enat_o: ( nat > $o ) > $o > extended_enat > $o ).
thf(func_def_146,type,
extend3600170679010898289d_enat: ( nat > extended_enat ) > extended_enat > extended_enat > extended_enat ).
thf(func_def_147,type,
extend5688581933313929465d_enat: extended_enat ).
thf(func_def_148,type,
extended_the_enat: extended_enat > nat ).
thf(func_def_149,type,
comm_s8582702949713902594nteger: code_integer > nat > code_integer ).
thf(func_def_150,type,
comm_s2602460028002588243omplex: complex > nat > complex ).
thf(func_def_151,type,
comm_s4660882817536571857er_int: int > nat > int ).
thf(func_def_152,type,
comm_s4663373288045622133er_nat: nat > nat > nat ).
thf(func_def_153,type,
comm_s4028243227959126397er_rat: rat > nat > rat ).
thf(func_def_154,type,
comm_s7457072308508201937r_real: real > nat > real ).
thf(func_def_155,type,
semiri3624122377584611663nteger: nat > code_integer ).
thf(func_def_156,type,
semiri5044797733671781792omplex: nat > complex ).
thf(func_def_157,type,
semiri1406184849735516958ct_int: nat > int ).
thf(func_def_158,type,
semiri1408675320244567234ct_nat: nat > nat ).
thf(func_def_159,type,
semiri773545260158071498ct_rat: nat > rat ).
thf(func_def_160,type,
semiri2265585572941072030t_real: nat > real ).
thf(func_def_161,type,
invers8013647133539491842omplex: complex > complex ).
thf(func_def_162,type,
inverse_inverse_rat: rat > rat ).
thf(func_def_163,type,
inverse_inverse_real: real > real ).
thf(func_def_164,type,
at_bot_real: filter_real ).
thf(func_def_165,type,
at_top_nat: filter_nat ).
thf(func_def_166,type,
at_top_real: filter_real ).
thf(func_def_167,type,
eventually_nat: ( nat > $o ) > filter_nat > $o ).
thf(func_def_168,type,
eventu1038000079068216329at_nat: ( product_prod_nat_nat > $o ) > filter1242075044329608583at_nat > $o ).
thf(func_def_169,type,
eventually_real: ( real > $o ) > filter_real > $o ).
thf(func_def_170,type,
filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).
thf(func_def_171,type,
filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).
thf(func_def_172,type,
filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).
thf(func_def_173,type,
filtermap_real_real: ( real > real ) > filter_real > filter_real ).
thf(func_def_174,type,
princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).
thf(func_def_175,type,
princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).
thf(func_def_176,type,
prod_filter_nat_nat: filter_nat > filter_nat > filter1242075044329608583at_nat ).
thf(func_def_177,type,
finite_card_o: set_o > nat ).
thf(func_def_178,type,
finite_card_complex: set_complex > nat ).
thf(func_def_179,type,
finite_card_int: set_int > nat ).
thf(func_def_180,type,
finite_card_list_nat: set_list_nat > nat ).
thf(func_def_181,type,
finite_card_nat: set_nat > nat ).
thf(func_def_182,type,
finite410649719033368117t_unit: set_Product_unit > nat ).
thf(func_def_183,type,
finite_card_char: set_char > nat ).
thf(func_def_184,type,
finite3207457112153483333omplex: set_complex > $o ).
thf(func_def_185,type,
finite4001608067531595151d_enat: set_Extended_enat > $o ).
thf(func_def_186,type,
finite_finite_int: set_int > $o ).
thf(func_def_187,type,
finite_finite_nat: set_nat > $o ).
thf(func_def_188,type,
bij_be1856998921033663316omplex: ( complex > complex ) > set_complex > set_complex > $o ).
thf(func_def_189,type,
bij_betw_nat_complex: ( nat > complex ) > set_nat > set_complex > $o ).
thf(func_def_190,type,
bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).
thf(func_def_191,type,
comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_192,type,
comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_193,type,
comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).
thf(func_def_194,type,
comp_int_real_real: ( int > real ) > ( real > int ) > real > real ).
thf(func_def_195,type,
comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).
thf(func_def_196,type,
comp_nat_real_nat: ( nat > real ) > ( nat > nat ) > nat > real ).
thf(func_def_197,type,
id_o: $o > $o ).
thf(func_def_198,type,
id_nat: nat > nat ).
thf(func_def_199,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(func_def_200,type,
inj_on_nat_char: ( nat > char ) > set_nat > $o ).
thf(func_def_201,type,
inj_on_real_real: ( real > real ) > set_real > $o ).
thf(func_def_202,type,
map_fu434086159418415080_int_o: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > $o ) > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > int > int > $o ).
thf(func_def_203,type,
map_fu4960017516451851995nt_int: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > int > int > int ).
thf(func_def_204,type,
map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).
thf(func_def_205,type,
map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).
thf(func_def_206,type,
map_fu3667384564859982768at_int: ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ).
thf(func_def_207,type,
map_fu4333342158222067775at_rat: ( rat > product_prod_int_int ) > ( ( product_prod_int_int > product_prod_int_int ) > rat > rat ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > rat > rat > rat ).
thf(func_def_208,type,
map_fu898904425404107465nt_o_o: ( rat > product_prod_int_int ) > ( $o > $o ) > ( product_prod_int_int > $o ) > rat > $o ).
thf(func_def_209,type,
map_fu5673905371560938248nt_rat: ( rat > product_prod_int_int ) > ( product_prod_int_int > rat ) > ( product_prod_int_int > product_prod_int_int ) > rat > rat ).
thf(func_def_210,type,
map_fu1532550112467129777l_real: ( real > nat > rat ) > ( ( ( nat > rat ) > nat > rat ) > real > real ) > ( ( nat > rat ) > ( nat > rat ) > nat > rat ) > real > real > real ).
thf(func_def_211,type,
map_fu7146612038024189824t_real: ( real > nat > rat ) > ( ( nat > rat ) > real ) > ( ( nat > rat ) > nat > rat ) > real > real ).
thf(func_def_212,type,
map_fu1856342031159181835at_o_o: ( real > nat > rat ) > ( $o > $o ) > ( ( nat > rat ) > $o ) > real > $o ).
thf(func_def_213,type,
strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).
thf(func_def_214,type,
the_in5290026491893676941l_real: set_real > ( real > real ) > real > real ).
thf(func_def_215,type,
fun_pair_leq: set_Pr8693737435421807431at_nat ).
thf(func_def_216,type,
fun_pair_less: set_Pr8693737435421807431at_nat ).
thf(func_def_217,type,
gcd_Gcd_nat: set_nat > nat ).
thf(func_def_218,type,
bezw: nat > nat > product_prod_int_int ).
thf(func_def_219,type,
bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_220,type,
gcd_gcd_Code_integer: code_integer > code_integer > code_integer ).
thf(func_def_221,type,
gcd_gcd_int: int > int > int ).
thf(func_def_222,type,
gcd_gcd_nat: nat > nat > nat ).
thf(func_def_223,type,
gcd_lcm_Code_integer: code_integer > code_integer > code_integer ).
thf(func_def_224,type,
gcd_lcm_int: int > int > int ).
thf(func_def_225,type,
gcd_lcm_nat: nat > nat > nat ).
thf(func_def_226,type,
gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_227,type,
abs_abs_Code_integer: code_integer > code_integer ).
thf(func_def_228,type,
abs_abs_complex: complex > complex ).
thf(func_def_229,type,
abs_abs_int: int > int ).
thf(func_def_230,type,
abs_abs_rat: rat > rat ).
thf(func_def_231,type,
abs_abs_real: real > real ).
thf(func_def_232,type,
minus_8727706125548526216plex_o: ( complex > $o ) > ( complex > $o ) > complex > $o ).
thf(func_def_233,type,
minus_2020553357622893040enat_o: ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat > $o ).
thf(func_def_234,type,
minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).
thf(func_def_235,type,
minus_1139252259498527702_nat_o: ( list_nat > $o ) > ( list_nat > $o ) > list_nat > $o ).
thf(func_def_236,type,
minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).
thf(func_def_237,type,
minus_minus_real_o: ( real > $o ) > ( real > $o ) > real > $o ).
thf(func_def_238,type,
minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).
thf(func_def_239,type,
minus_minus_complex: complex > complex > complex ).
thf(func_def_240,type,
minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat ).
thf(func_def_241,type,
minus_minus_int: int > int > int ).
thf(func_def_242,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_243,type,
minus_minus_rat: rat > rat > rat ).
thf(func_def_244,type,
minus_minus_real: real > real > real ).
thf(func_def_245,type,
minus_811609699411566653omplex: set_complex > set_complex > set_complex ).
thf(func_def_246,type,
minus_925952699566721837d_enat: set_Extended_enat > set_Extended_enat > set_Extended_enat ).
thf(func_def_247,type,
minus_minus_set_int: set_int > set_int > set_int ).
thf(func_def_248,type,
minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).
thf(func_def_249,type,
minus_minus_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_250,type,
minus_minus_set_real: set_real > set_real > set_real ).
thf(func_def_251,type,
one_one_Code_integer: code_integer ).
thf(func_def_252,type,
one_one_complex: complex ).
thf(func_def_253,type,
one_on7984719198319812577d_enat: extended_enat ).
thf(func_def_254,type,
one_one_int: int ).
thf(func_def_255,type,
one_one_nat: nat ).
thf(func_def_256,type,
one_one_rat: rat ).
thf(func_def_257,type,
one_one_real: real ).
thf(func_def_258,type,
plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).
thf(func_def_259,type,
plus_plus_complex: complex > complex > complex ).
thf(func_def_260,type,
plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).
thf(func_def_261,type,
plus_plus_int: int > int > int ).
thf(func_def_262,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_263,type,
plus_plus_num: num > num > num ).
thf(func_def_264,type,
plus_plus_rat: rat > rat > rat ).
thf(func_def_265,type,
plus_plus_real: real > real > real ).
thf(func_def_266,type,
plus_plus_literal: literal > literal > literal ).
thf(func_def_267,type,
sgn_sgn_Code_integer: code_integer > code_integer ).
thf(func_def_268,type,
sgn_sgn_complex: complex > complex ).
thf(func_def_269,type,
sgn_sgn_int: int > int ).
thf(func_def_270,type,
sgn_sgn_rat: rat > rat ).
thf(func_def_271,type,
sgn_sgn_real: real > real ).
thf(func_def_272,type,
times_3573771949741848930nteger: code_integer > code_integer > code_integer ).
thf(func_def_273,type,
times_times_complex: complex > complex > complex ).
thf(func_def_274,type,
times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).
thf(func_def_275,type,
times_times_int: int > int > int ).
thf(func_def_276,type,
times_times_nat: nat > nat > nat ).
thf(func_def_277,type,
times_times_num: num > num > num ).
thf(func_def_278,type,
times_times_rat: rat > rat > rat ).
thf(func_def_279,type,
times_times_real: real > real > real ).
thf(func_def_280,type,
uminus1351360451143612070nteger: code_integer > code_integer ).
thf(func_def_281,type,
uminus1482373934393186551omplex: complex > complex ).
thf(func_def_282,type,
uminus_uminus_int: int > int ).
thf(func_def_283,type,
uminus_uminus_rat: rat > rat ).
thf(func_def_284,type,
uminus_uminus_real: real > real ).
thf(func_def_285,type,
uminus5710092332889474511et_nat: set_nat > set_nat ).
thf(func_def_286,type,
zero_z3403309356797280102nteger: code_integer ).
thf(func_def_287,type,
zero_zero_complex: complex ).
thf(func_def_288,type,
zero_z5237406670263579293d_enat: extended_enat ).
thf(func_def_289,type,
zero_zero_int: int ).
thf(func_def_290,type,
zero_zero_nat: nat ).
thf(func_def_291,type,
zero_zero_rat: rat ).
thf(func_def_292,type,
zero_zero_real: real ).
thf(func_def_293,type,
zero_zero_literal: literal ).
thf(func_def_294,type,
groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).
thf(func_def_295,type,
groups4538972089207619220nt_int: ( int > int ) > set_int > int ).
thf(func_def_296,type,
groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).
thf(func_def_297,type,
groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).
thf(func_def_298,type,
groups3708469109370488835omplex: ( complex > complex ) > set_complex > complex ).
thf(func_def_299,type,
groups225925009352817453ex_rat: ( complex > rat ) > set_complex > rat ).
thf(func_def_300,type,
groups766887009212190081x_real: ( complex > real ) > set_complex > real ).
thf(func_def_301,type,
groups4622424608036095791omplex: ( extended_enat > complex ) > set_Extended_enat > complex ).
thf(func_def_302,type,
groups2878480467620962989at_int: ( extended_enat > int ) > set_Extended_enat > int ).
thf(func_def_303,type,
groups2880970938130013265at_nat: ( extended_enat > nat ) > set_Extended_enat > nat ).
thf(func_def_304,type,
groups2245840878043517529at_rat: ( extended_enat > rat ) > set_Extended_enat > rat ).
thf(func_def_305,type,
groups97031904164794029t_real: ( extended_enat > real ) > set_Extended_enat > real ).
thf(func_def_306,type,
groups7440179247065528705omplex: ( int > complex ) > set_int > complex ).
thf(func_def_307,type,
groups1705073143266064639nt_int: ( int > int ) > set_int > int ).
thf(func_def_308,type,
groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).
thf(func_def_309,type,
groups2316167850115554303t_real: ( int > real ) > set_int > real ).
thf(func_def_310,type,
groups6464643781859351333omplex: ( nat > complex ) > set_nat > complex ).
thf(func_def_311,type,
groups705719431365010083at_int: ( nat > int ) > set_nat > int ).
thf(func_def_312,type,
groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).
thf(func_def_313,type,
groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).
thf(func_def_314,type,
groups129246275422532515t_real: ( nat > real ) > set_nat > real ).
thf(func_def_315,type,
groups713298508707869441omplex: ( real > complex ) > set_real > complex ).
thf(func_def_316,type,
groups4694064378042380927al_int: ( real > int ) > set_real > int ).
thf(func_def_317,type,
groups4696554848551431203al_nat: ( real > nat ) > set_real > nat ).
thf(func_def_318,type,
groups4061424788464935467al_rat: ( real > rat ) > set_real > rat ).
thf(func_def_319,type,
groups1681761925125756287l_real: ( real > real ) > set_real > real ).
thf(func_def_320,type,
groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).
thf(func_def_321,type,
groups4561878855575611511st_nat: list_nat > nat ).
thf(func_def_322,type,
the_int: ( int > $o ) > int ).
thf(func_def_323,type,
the_Pr4378521158711661632nt_int: ( product_prod_int_int > $o ) > product_prod_int_int ).
thf(func_def_324,type,
the_real: ( real > $o ) > real ).
thf(func_def_325,type,
if_int_int: $o > ( int > int ) > ( int > int ) > int > int ).
thf(func_def_326,type,
if_nat_int_int: $o > ( nat > int > int ) > ( nat > int > int ) > nat > int > int ).
thf(func_def_327,type,
if_nat_nat_nat: $o > ( nat > nat > nat ) > ( nat > nat > nat ) > nat > nat > nat ).
thf(func_def_328,type,
if_nat_rat: $o > ( nat > rat ) > ( nat > rat ) > nat > rat ).
thf(func_def_329,type,
if_Code_integer: $o > code_integer > code_integer > code_integer ).
thf(func_def_330,type,
if_complex: $o > complex > complex > complex ).
thf(func_def_331,type,
if_Extended_enat: $o > extended_enat > extended_enat > extended_enat ).
thf(func_def_332,type,
if_int: $o > int > int > int ).
thf(func_def_333,type,
if_list_int: $o > list_int > list_int > list_int ).
thf(func_def_334,type,
if_list_nat: $o > list_nat > list_nat > list_nat ).
thf(func_def_335,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_336,type,
if_num: $o > num > num > num ).
thf(func_def_337,type,
if_option_nat: $o > option_nat > option_nat > option_nat ).
thf(func_def_338,type,
if_option_num: $o > option_num > option_num > option_num ).
thf(func_def_339,type,
if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).
thf(func_def_340,type,
if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_341,type,
if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).
thf(func_def_342,type,
if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_343,type,
if_rat: $o > rat > rat > rat ).
thf(func_def_344,type,
if_real: $o > real > real > real ).
thf(func_def_345,type,
if_set_int: $o > set_int > set_int > set_int ).
thf(func_def_346,type,
if_VEBT_VEBT: $o > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).
thf(func_def_347,type,
infini8530281810654367211te_nat: set_nat > nat > nat ).
thf(func_def_348,type,
abs_Integ: product_prod_nat_nat > int ).
thf(func_def_349,type,
rep_Integ: int > product_prod_nat_nat ).
thf(func_def_350,type,
int_ge_less_than: int > set_Pr958786334691620121nt_int ).
thf(func_def_351,type,
int_ge_less_than2: int > set_Pr958786334691620121nt_int ).
thf(func_def_352,type,
intrel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_353,type,
nat2: int > nat ).
thf(func_def_354,type,
pcr_int: product_prod_nat_nat > int > $o ).
thf(func_def_355,type,
power_int_real: real > int > real ).
thf(func_def_356,type,
ring_11222124179247155820nteger: set_Code_integer ).
thf(func_def_357,type,
ring_1_Ints_complex: set_complex ).
thf(func_def_358,type,
ring_1_Ints_int: set_int ).
thf(func_def_359,type,
ring_1_Ints_rat: set_rat ).
thf(func_def_360,type,
ring_1_Ints_real: set_real ).
thf(func_def_361,type,
ring_18347121197199848620nteger: int > code_integer ).
thf(func_def_362,type,
ring_17405671764205052669omplex: int > complex ).
thf(func_def_363,type,
ring_1_of_int_int: int > int ).
thf(func_def_364,type,
ring_1_of_int_rat: int > rat ).
thf(func_def_365,type,
ring_1_of_int_real: int > real ).
thf(func_def_366,type,
inf_in1870772243966228564d_enat: extended_enat > extended_enat > extended_enat ).
thf(func_def_367,type,
inf_inf_nat: nat > nat > nat ).
thf(func_def_368,type,
semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_369,type,
sup_su3973961784419623482d_enat: extended_enat > extended_enat > extended_enat ).
thf(func_def_370,type,
sup_sup_nat: nat > nat > nat ).
thf(func_def_371,type,
sup_sup_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_372,type,
sup_su6327502436637775413at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_373,type,
lattic921264341876707157d_enat: set_Extended_enat > extended_enat ).
thf(func_def_374,type,
lattic8265883725875713057ax_nat: set_nat > nat ).
thf(func_def_375,type,
quotie3684837364556693515t_real: ( ( nat > rat ) > ( nat > rat ) > $o ) > ( ( nat > rat ) > real ) > ( real > nat > rat ) > ( ( nat > rat ) > real > $o ) > $o ).
thf(func_def_376,type,
bfun_nat_real: ( nat > real ) > filter_nat > $o ).
thf(func_def_377,type,
append_int: list_int > list_int > list_int ).
thf(func_def_378,type,
append_nat: list_nat > list_nat > list_nat ).
thf(func_def_379,type,
drop_nat: nat > list_nat > list_nat ).
thf(func_def_380,type,
last_nat: list_nat > nat ).
thf(func_def_381,type,
linord2614967742042102400et_nat: set_nat > list_nat ).
thf(func_def_382,type,
cons_int: int > list_int > list_int ).
thf(func_def_383,type,
cons_nat: nat > list_nat > list_nat ).
thf(func_def_384,type,
nil_int: list_int ).
thf(func_def_385,type,
nil_nat: list_nat ).
thf(func_def_386,type,
hd_nat: list_nat > nat ).
thf(func_def_387,type,
map_nat_nat: ( nat > nat ) > list_nat > list_nat ).
thf(func_def_388,type,
map_VE8901447254227204932T_VEBT: ( vEBT_VEBT > vEBT_VEBT ) > list_VEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_389,type,
set_o2: list_o > set_o ).
thf(func_def_390,type,
set_complex2: list_complex > set_complex ).
thf(func_def_391,type,
set_Extended_enat2: list_Extended_enat > set_Extended_enat ).
thf(func_def_392,type,
set_int2: list_int > set_int ).
thf(func_def_393,type,
set_list_nat2: list_list_nat > set_list_nat ).
thf(func_def_394,type,
set_nat2: list_nat > set_nat ).
thf(func_def_395,type,
set_real2: list_real > set_real ).
thf(func_def_396,type,
set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).
thf(func_def_397,type,
size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).
thf(func_def_398,type,
tl_nat: list_nat > list_nat ).
thf(func_def_399,type,
list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_400,type,
nth_o: list_o > nat > $o ).
thf(func_def_401,type,
nth_complex: list_complex > nat > complex ).
thf(func_def_402,type,
nth_Extended_enat: list_Extended_enat > nat > extended_enat ).
thf(func_def_403,type,
nth_int: list_int > nat > int ).
thf(func_def_404,type,
nth_list_nat: list_list_nat > nat > list_nat ).
thf(func_def_405,type,
nth_nat: list_nat > nat > nat ).
thf(func_def_406,type,
nth_num: list_num > nat > num ).
thf(func_def_407,type,
nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o ).
thf(func_def_408,type,
nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int ).
thf(func_def_409,type,
nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat ).
thf(func_def_410,type,
nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT ).
thf(func_def_411,type,
nth_Pr8326237132889035090at_num: list_P1726324292696863441at_num > nat > product_prod_nat_num ).
thf(func_def_412,type,
nth_Pr6456567536196504476um_num: list_P3744719386663036955um_num > nat > product_prod_num_num ).
thf(func_def_413,type,
nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o ).
thf(func_def_414,type,
nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).
thf(func_def_415,type,
nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).
thf(func_def_416,type,
nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).
thf(func_def_417,type,
nth_real: list_real > nat > real ).
thf(func_def_418,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_419,type,
product_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).
thf(func_def_420,type,
product_o_int: list_o > list_int > list_P3795440434834930179_o_int ).
thf(func_def_421,type,
product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).
thf(func_def_422,type,
product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).
thf(func_def_423,type,
product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).
thf(func_def_424,type,
product_nat_num: list_nat > list_num > list_P1726324292696863441at_num ).
thf(func_def_425,type,
produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).
thf(func_def_426,type,
product_num_num: list_num > list_num > list_P3744719386663036955um_num ).
thf(func_def_427,type,
product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).
thf(func_def_428,type,
produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).
thf(func_def_429,type,
produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).
thf(func_def_430,type,
produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).
thf(func_def_431,type,
replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_432,type,
sorted_wrt_int: ( int > int > $o ) > list_int > $o ).
thf(func_def_433,type,
sorted_wrt_nat: ( nat > nat > $o ) > list_nat > $o ).
thf(func_def_434,type,
take_nat: nat > list_nat > list_nat ).
thf(func_def_435,type,
take_VEBT_VEBT: nat > list_VEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_436,type,
upt: nat > nat > list_nat ).
thf(func_def_437,type,
upto: int > int > list_int ).
thf(func_def_438,type,
upto_aux: int > int > list_int > list_int ).
thf(func_def_439,type,
upto_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_440,type,
suc: nat > nat ).
thf(func_def_441,type,
compow_nat_nat: nat > ( nat > nat ) > nat > nat ).
thf(func_def_442,type,
case_nat_o: $o > ( nat > $o ) > nat > $o ).
thf(func_def_443,type,
case_nat_nat: nat > ( nat > nat ) > nat > nat ).
thf(func_def_444,type,
case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).
thf(func_def_445,type,
pred: nat > nat ).
thf(func_def_446,type,
semiri4939895301339042750nteger: nat > code_integer ).
thf(func_def_447,type,
semiri8010041392384452111omplex: nat > complex ).
thf(func_def_448,type,
semiri4216267220026989637d_enat: nat > extended_enat ).
thf(func_def_449,type,
semiri1314217659103216013at_int: nat > int ).
thf(func_def_450,type,
semiri1316708129612266289at_nat: nat > nat ).
thf(func_def_451,type,
semiri681578069525770553at_rat: nat > rat ).
thf(func_def_452,type,
semiri5074537144036343181t_real: nat > real ).
thf(func_def_453,type,
size_size_list_o: list_o > nat ).
thf(func_def_454,type,
size_s3451745648224563538omplex: list_complex > nat ).
thf(func_def_455,type,
size_s3941691890525107288d_enat: list_Extended_enat > nat ).
thf(func_def_456,type,
size_size_list_int: list_int > nat ).
thf(func_def_457,type,
size_s3023201423986296836st_nat: list_list_nat > nat ).
thf(func_def_458,type,
size_size_list_nat: list_nat > nat ).
thf(func_def_459,type,
size_size_list_num: list_num > nat ).
thf(func_def_460,type,
size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).
thf(func_def_461,type,
size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).
thf(func_def_462,type,
size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).
thf(func_def_463,type,
size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).
thf(func_def_464,type,
size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).
thf(func_def_465,type,
size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).
thf(func_def_466,type,
size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).
thf(func_def_467,type,
size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).
thf(func_def_468,type,
size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).
thf(func_def_469,type,
size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).
thf(func_def_470,type,
size_size_list_real: list_real > nat ).
thf(func_def_471,type,
size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).
thf(func_def_472,type,
size_size_num: num > nat ).
thf(func_def_473,type,
size_size_VEBT_VEBT: vEBT_VEBT > nat ).
thf(func_def_474,type,
nat_list_decode: nat > list_nat ).
thf(func_def_475,type,
nat_list_decode_rel: nat > nat > $o ).
thf(func_def_476,type,
nat_list_encode: list_nat > nat ).
thf(func_def_477,type,
nat_list_encode_rel: list_nat > list_nat > $o ).
thf(func_def_478,type,
nat_prod_decode: nat > product_prod_nat_nat ).
thf(func_def_479,type,
nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).
thf(func_def_480,type,
nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_481,type,
nat_prod_encode: product_prod_nat_nat > nat ).
thf(func_def_482,type,
nat_set_decode: nat > set_nat ).
thf(func_def_483,type,
nat_set_encode: set_nat > nat ).
thf(func_def_484,type,
nat_triangle: nat > nat ).
thf(func_def_485,type,
root: nat > real > real ).
thf(func_def_486,type,
sqrt: real > real ).
thf(func_def_487,type,
bitM: num > num ).
thf(func_def_488,type,
inc: num > num ).
thf(func_def_489,type,
neg_nu8804712462038260780nteger: code_integer > code_integer ).
thf(func_def_490,type,
neg_nu7009210354673126013omplex: complex > complex ).
thf(func_def_491,type,
neg_numeral_dbl_int: int > int ).
thf(func_def_492,type,
neg_numeral_dbl_rat: rat > rat ).
thf(func_def_493,type,
neg_numeral_dbl_real: real > real ).
thf(func_def_494,type,
neg_nu7757733837767384882nteger: code_integer > code_integer ).
thf(func_def_495,type,
neg_nu6511756317524482435omplex: complex > complex ).
thf(func_def_496,type,
neg_nu3811975205180677377ec_int: int > int ).
thf(func_def_497,type,
neg_nu3179335615603231917ec_rat: rat > rat ).
thf(func_def_498,type,
neg_nu6075765906172075777c_real: real > real ).
thf(func_def_499,type,
neg_nu5831290666863070958nteger: code_integer > code_integer ).
thf(func_def_500,type,
neg_nu8557863876264182079omplex: complex > complex ).
thf(func_def_501,type,
neg_nu5851722552734809277nc_int: int > int ).
thf(func_def_502,type,
neg_nu5219082963157363817nc_rat: rat > rat ).
thf(func_def_503,type,
neg_nu8295874005876285629c_real: real > real ).
thf(func_def_504,type,
neg_numeral_sub_int: num > num > int ).
thf(func_def_505,type,
bit0: num > num ).
thf(func_def_506,type,
bit1: num > num ).
thf(func_def_507,type,
one: num ).
thf(func_def_508,type,
case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).
thf(func_def_509,type,
size_num: num > nat ).
thf(func_def_510,type,
num_of_nat: nat > num ).
thf(func_def_511,type,
numera6620942414471956472nteger: num > code_integer ).
thf(func_def_512,type,
numera6690914467698888265omplex: num > complex ).
thf(func_def_513,type,
numera1916890842035813515d_enat: num > extended_enat ).
thf(func_def_514,type,
numeral_numeral_int: num > int ).
thf(func_def_515,type,
numeral_numeral_nat: num > nat ).
thf(func_def_516,type,
numeral_numeral_rat: num > rat ).
thf(func_def_517,type,
numeral_numeral_real: num > real ).
thf(func_def_518,type,
pow: num > num > num ).
thf(func_def_519,type,
pred_numeral: num > nat ).
thf(func_def_520,type,
sqr: num > num ).
thf(func_def_521,type,
none_nat: option_nat ).
thf(func_def_522,type,
none_num: option_num ).
thf(func_def_523,type,
none_P5556105721700978146at_nat: option4927543243414619207at_nat ).
thf(func_def_524,type,
some_nat: nat > option_nat ).
thf(func_def_525,type,
some_num: num > option_num ).
thf(func_def_526,type,
some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).
thf(func_def_527,type,
case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).
thf(func_def_528,type,
case_option_int_num: int > ( num > int ) > option_num > int ).
thf(func_def_529,type,
case_option_num_num: num > ( num > num ) > option_num > num ).
thf(func_def_530,type,
case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).
thf(func_def_531,type,
map_option_num_num: ( num > num ) > option_num > option_num ).
thf(func_def_532,type,
the_nat: option_nat > nat ).
thf(func_def_533,type,
bot_bot_nat_o: nat > $o ).
thf(func_def_534,type,
bot_bo4199563552545308370d_enat: extended_enat ).
thf(func_def_535,type,
bot_bot_nat: nat ).
thf(func_def_536,type,
bot_bo7653980558646680370d_enat: set_Extended_enat ).
thf(func_def_537,type,
bot_bot_set_int: set_int ).
thf(func_def_538,type,
bot_bot_set_nat: set_nat ).
thf(func_def_539,type,
bot_bot_set_num: set_num ).
thf(func_def_540,type,
bot_bot_set_rat: set_rat ).
thf(func_def_541,type,
bot_bot_set_real: set_real ).
thf(func_def_542,type,
bot_bot_set_set_nat: set_set_nat ).
thf(func_def_543,type,
ord_Le1955565732374568822d_enat: ( extended_enat > $o ) > extended_enat ).
thf(func_def_544,type,
ord_Least_nat: ( nat > $o ) > nat ).
thf(func_def_545,type,
ord_Least_real: ( real > $o ) > real ).
thf(func_def_546,type,
ord_less_complex_o: ( complex > $o ) > ( complex > $o ) > $o ).
thf(func_def_547,type,
ord_le8499522857272258027enat_o: ( extended_enat > $o ) > ( extended_enat > $o ) > $o ).
thf(func_def_548,type,
ord_less_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_549,type,
ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_550,type,
ord_less_real_o: ( real > $o ) > ( real > $o ) > $o ).
thf(func_def_551,type,
ord_le6747313008572928689nteger: code_integer > code_integer > $o ).
thf(func_def_552,type,
ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).
thf(func_def_553,type,
ord_less_int: int > int > $o ).
thf(func_def_554,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_555,type,
ord_less_num: num > num > $o ).
thf(func_def_556,type,
ord_less_rat: rat > rat > $o ).
thf(func_def_557,type,
ord_less_real: real > real > $o ).
thf(func_def_558,type,
ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o ).
thf(func_def_559,type,
ord_less_set_complex: set_complex > set_complex > $o ).
thf(func_def_560,type,
ord_le2529575680413868914d_enat: set_Extended_enat > set_Extended_enat > $o ).
thf(func_def_561,type,
ord_less_set_int: set_int > set_int > $o ).
thf(func_def_562,type,
ord_less_set_nat: set_nat > set_nat > $o ).
thf(func_def_563,type,
ord_less_set_num: set_num > set_num > $o ).
thf(func_def_564,type,
ord_less_set_rat: set_rat > set_rat > $o ).
thf(func_def_565,type,
ord_less_set_real: set_real > set_real > $o ).
thf(func_def_566,type,
ord_less_set_set_nat: set_set_nat > set_set_nat > $o ).
thf(func_def_567,type,
ord_le3102999989581377725nteger: code_integer > code_integer > $o ).
thf(func_def_568,type,
ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).
thf(func_def_569,type,
ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).
thf(func_def_570,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_571,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_572,type,
ord_less_eq_num: num > num > $o ).
thf(func_def_573,type,
ord_less_eq_rat: rat > rat > $o ).
thf(func_def_574,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_575,type,
ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).
thf(func_def_576,type,
ord_le211207098394363844omplex: set_complex > set_complex > $o ).
thf(func_def_577,type,
ord_le7203529160286727270d_enat: set_Extended_enat > set_Extended_enat > $o ).
thf(func_def_578,type,
ord_less_eq_set_int: set_int > set_int > $o ).
thf(func_def_579,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_580,type,
ord_less_eq_set_num: set_num > set_num > $o ).
thf(func_def_581,type,
ord_less_eq_set_rat: set_rat > set_rat > $o ).
thf(func_def_582,type,
ord_less_eq_set_real: set_real > set_real > $o ).
thf(func_def_583,type,
ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).
thf(func_def_584,type,
ord_ma741700101516333627d_enat: extended_enat > extended_enat > extended_enat ).
thf(func_def_585,type,
ord_max_int: int > int > int ).
thf(func_def_586,type,
ord_max_nat: nat > nat > nat ).
thf(func_def_587,type,
ord_mi8085742599997312461d_enat: extended_enat > extended_enat > extended_enat ).
thf(func_def_588,type,
ord_min_nat: nat > nat > nat ).
thf(func_def_589,type,
order_Greatest_nat: ( nat > $o ) > nat ).
thf(func_def_590,type,
order_9091379641038594480t_real: ( nat > real ) > $o ).
thf(func_def_591,type,
order_4130057895858720880d_enat: ( extended_enat > extended_enat ) > $o ).
thf(func_def_592,type,
order_mono_nat_nat: ( nat > nat ) > $o ).
thf(func_def_593,type,
order_mono_nat_real: ( nat > real ) > $o ).
thf(func_def_594,type,
order_5726023648592871131at_nat: ( nat > nat ) > $o ).
thf(func_def_595,type,
order_7092887310737990675l_real: ( real > real ) > $o ).
thf(func_def_596,type,
ordering_top_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > $o ).
thf(func_def_597,type,
top_to3028658606643905974d_enat: extended_enat ).
thf(func_def_598,type,
top_top_set_o: set_o ).
thf(func_def_599,type,
top_top_set_nat: set_nat ).
thf(func_def_600,type,
top_to1996260823553986621t_unit: set_Product_unit ).
thf(func_def_601,type,
top_top_set_real: set_real ).
thf(func_def_602,type,
top_top_set_char: set_char ).
thf(func_def_603,type,
power_8256067586552552935nteger: code_integer > nat > code_integer ).
thf(func_def_604,type,
power_power_complex: complex > nat > complex ).
thf(func_def_605,type,
power_power_int: int > nat > int ).
thf(func_def_606,type,
power_power_nat: nat > nat > nat ).
thf(func_def_607,type,
power_power_rat: rat > nat > rat ).
thf(func_def_608,type,
power_power_real: real > nat > real ).
thf(func_def_609,type,
produc3209952032786966637at_nat: ( nat > nat > nat ) > produc7248412053542808358at_nat > produc4471711990508489141at_nat ).
thf(func_def_610,type,
produc851828971589881931at_num: ( nat > num > num ) > produc2963631642982155120at_num > produc3368934014287244435at_num ).
thf(func_def_611,type,
product_Pair_o_o: $o > $o > product_prod_o_o ).
thf(func_def_612,type,
product_Pair_o_int: $o > int > product_prod_o_int ).
thf(func_def_613,type,
product_Pair_o_nat: $o > nat > product_prod_o_nat ).
thf(func_def_614,type,
produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).
thf(func_def_615,type,
produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).
thf(func_def_616,type,
produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_617,type,
product_Pair_int_int: int > int > product_prod_int_int ).
thf(func_def_618,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_619,type,
product_Pair_nat_num: nat > num > product_prod_nat_num ).
thf(func_def_620,type,
produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat ).
thf(func_def_621,type,
produc1195630363706982562at_num: nat > product_prod_nat_num > produc2963631642982155120at_num ).
thf(func_def_622,type,
product_Pair_num_num: num > num > product_prod_num_num ).
thf(func_def_623,type,
produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).
thf(func_def_624,type,
produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).
thf(func_def_625,type,
produc581526299967858633d_enat: vEBT_VEBT > extended_enat > produc7272778201969148633d_enat ).
thf(func_def_626,type,
produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).
thf(func_def_627,type,
produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).
thf(func_def_628,type,
produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).
thf(func_def_629,type,
produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).
thf(func_def_630,type,
produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_631,type,
produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).
thf(func_def_632,type,
produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).
thf(func_def_633,type,
produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).
thf(func_def_634,type,
produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).
thf(func_def_635,type,
produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_636,type,
produc6771430404735790350plex_o: ( complex > complex > $o ) > produc4411394909380815293omplex > $o ).
thf(func_def_637,type,
produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).
thf(func_def_638,type,
produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).
thf(func_def_639,type,
produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_640,type,
produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_641,type,
produc27273713700761075at_nat: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_642,type,
produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_643,type,
produc2761476792215241774st_nat: ( nat > nat > list_nat ) > product_prod_nat_nat > list_nat ).
thf(func_def_644,type,
produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_645,type,
produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_646,type,
produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).
thf(func_def_647,type,
produc5414030515140494994real_o: ( real > real > $o ) > produc2422161461964618553l_real > $o ).
thf(func_def_648,type,
produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).
thf(func_def_649,type,
product_fst_int_int: product_prod_int_int > int ).
thf(func_def_650,type,
product_fst_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_651,type,
produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).
thf(func_def_652,type,
product_snd_int_int: product_prod_int_int > int ).
thf(func_def_653,type,
product_snd_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_654,type,
abs_Rat: product_prod_int_int > rat ).
thf(func_def_655,type,
fract: int > int > rat ).
thf(func_def_656,type,
frct: product_prod_int_int > rat ).
thf(func_def_657,type,
rep_Rat: rat > product_prod_int_int ).
thf(func_def_658,type,
field_5140801741446780682s_real: set_real ).
thf(func_def_659,type,
field_7254667332652039916t_real: rat > real ).
thf(func_def_660,type,
normalize: product_prod_int_int > product_prod_int_int ).
thf(func_def_661,type,
pcr_rat: product_prod_int_int > rat > $o ).
thf(func_def_662,type,
positive: rat > $o ).
thf(func_def_663,type,
quotient_of: rat > product_prod_int_int ).
thf(func_def_664,type,
ratrel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_665,type,
real2: ( nat > rat ) > real ).
thf(func_def_666,type,
cauchy: ( nat > rat ) > $o ).
thf(func_def_667,type,
cr_real: ( nat > rat ) > real > $o ).
thf(func_def_668,type,
pcr_real: ( nat > rat ) > real > $o ).
thf(func_def_669,type,
positive2: real > $o ).
thf(func_def_670,type,
realrel: ( nat > rat ) > ( nat > rat ) > $o ).
thf(func_def_671,type,
rep_real: real > nat > rat ).
thf(func_def_672,type,
vanishes: ( nat > rat ) > $o ).
thf(func_def_673,type,
real_V2521375963428798218omplex: set_complex ).
thf(func_def_674,type,
real_V5970128139526366754l_real: ( real > real ) > $o ).
thf(func_def_675,type,
real_V3694042436643373181omplex: complex > complex > real ).
thf(func_def_676,type,
real_V975177566351809787t_real: real > real > real ).
thf(func_def_677,type,
real_V1022390504157884413omplex: complex > real ).
thf(func_def_678,type,
real_V7735802525324610683m_real: real > real ).
thf(func_def_679,type,
real_V4546457046886955230omplex: real > complex ).
thf(func_def_680,type,
real_V1803761363581548252l_real: real > real ).
thf(func_def_681,type,
real_V2046097035970521341omplex: real > complex > complex ).
thf(func_def_682,type,
real_V1485227260804924795R_real: real > real > real ).
thf(func_def_683,type,
transp_nat_rat: ( ( nat > rat ) > ( nat > rat ) > $o ) > $o ).
thf(func_def_684,type,
algebr932160517623751201me_int: int > int > $o ).
thf(func_def_685,type,
algebr934650988132801477me_nat: nat > nat > $o ).
thf(func_def_686,type,
divide6298287555418463151nteger: code_integer > code_integer > code_integer ).
thf(func_def_687,type,
divide1717551699836669952omplex: complex > complex > complex ).
thf(func_def_688,type,
divide_divide_int: int > int > int ).
thf(func_def_689,type,
divide_divide_nat: nat > nat > nat ).
thf(func_def_690,type,
divide_divide_rat: rat > rat > rat ).
thf(func_def_691,type,
divide_divide_real: real > real > real ).
thf(func_def_692,type,
dvd_dvd_Code_integer: code_integer > code_integer > $o ).
thf(func_def_693,type,
dvd_dvd_complex: complex > complex > $o ).
thf(func_def_694,type,
dvd_dvd_int: int > int > $o ).
thf(func_def_695,type,
dvd_dvd_nat: nat > nat > $o ).
thf(func_def_696,type,
dvd_dvd_rat: rat > rat > $o ).
thf(func_def_697,type,
dvd_dvd_real: real > real > $o ).
thf(func_def_698,type,
modulo364778990260209775nteger: code_integer > code_integer > code_integer ).
thf(func_def_699,type,
modulo_modulo_int: int > int > int ).
thf(func_def_700,type,
modulo_modulo_nat: nat > nat > nat ).
thf(func_def_701,type,
zero_n356916108424825756nteger: $o > code_integer ).
thf(func_def_702,type,
zero_n1201886186963655149omplex: $o > complex ).
thf(func_def_703,type,
zero_n2684676970156552555ol_int: $o > int ).
thf(func_def_704,type,
zero_n2687167440665602831ol_nat: $o > nat ).
thf(func_def_705,type,
zero_n2052037380579107095ol_rat: $o > rat ).
thf(func_def_706,type,
zero_n3304061248610475627l_real: $o > real ).
thf(func_def_707,type,
suminf_complex: ( nat > complex ) > complex ).
thf(func_def_708,type,
suminf_real: ( nat > real ) > real ).
thf(func_def_709,type,
summable_complex: ( nat > complex ) > $o ).
thf(func_def_710,type,
summable_real: ( nat > real ) > $o ).
thf(func_def_711,type,
sums_real: ( nat > real ) > real > $o ).
thf(func_def_712,type,
collect_o: ( $o > $o ) > set_o ).
thf(func_def_713,type,
collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).
thf(func_def_714,type,
collect_complex: ( complex > $o ) > set_complex ).
thf(func_def_715,type,
collec4429806609662206161d_enat: ( extended_enat > $o ) > set_Extended_enat ).
thf(func_def_716,type,
collect_int: ( int > $o ) > set_int ).
thf(func_def_717,type,
collect_list_nat: ( list_nat > $o ) > set_list_nat ).
thf(func_def_718,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_719,type,
collec8663557070575231912omplex: ( produc4411394909380815293omplex > $o ) > set_Pr5085853215250843933omplex ).
thf(func_def_720,type,
collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).
thf(func_def_721,type,
collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_722,type,
collec3799799289383736868l_real: ( produc2422161461964618553l_real > $o ) > set_Pr6218003697084177305l_real ).
thf(func_def_723,type,
collect_real: ( real > $o ) > set_real ).
thf(func_def_724,type,
collect_VEBT_VEBT: ( vEBT_VEBT > $o ) > set_VEBT_VEBT ).
thf(func_def_725,type,
image_80655429650038917d_enat: ( extended_enat > extended_enat ) > set_Extended_enat > set_Extended_enat ).
thf(func_def_726,type,
image_int_int: ( int > int ) > set_int > set_int ).
thf(func_def_727,type,
image_nat_int: ( nat > int ) > set_nat > set_int ).
thf(func_def_728,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_729,type,
image_nat_real: ( nat > real ) > set_nat > set_real ).
thf(func_def_730,type,
image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).
thf(func_def_731,type,
image_nat_char: ( nat > char ) > set_nat > set_char ).
thf(func_def_732,type,
image_5971271580939081552omplex: ( real > filter6041513312241820739omplex ) > set_real > set_fi4554929511873752355omplex ).
thf(func_def_733,type,
image_2178119161166701260l_real: ( real > filter2146258269922977983l_real ) > set_real > set_fi7789364187291644575l_real ).
thf(func_def_734,type,
image_real_real: ( real > real ) > set_real > set_real ).
thf(func_def_735,type,
image_char_nat: ( char > nat ) > set_char > set_nat ).
thf(func_def_736,type,
insert_int: int > set_int > set_int ).
thf(func_def_737,type,
insert_nat: nat > set_nat > set_nat ).
thf(func_def_738,type,
insert_real: real > set_real > set_real ).
thf(func_def_739,type,
vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_740,type,
set_fo1517530859248394432omplex: ( nat > complex > complex ) > nat > nat > complex > complex ).
thf(func_def_741,type,
set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).
thf(func_def_742,type,
set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).
thf(func_def_743,type,
set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).
thf(func_def_744,type,
set_fo3111899725591712190t_real: ( nat > real > real ) > nat > nat > real > real ).
thf(func_def_745,type,
set_or5403411693681687835d_enat: extended_enat > extended_enat > set_Extended_enat ).
thf(func_def_746,type,
set_or1266510415728281911st_int: int > int > set_int ).
thf(func_def_747,type,
set_or1269000886237332187st_nat: nat > nat > set_nat ).
thf(func_def_748,type,
set_or7049704709247886629st_num: num > num > set_num ).
thf(func_def_749,type,
set_or633870826150836451st_rat: rat > rat > set_rat ).
thf(func_def_750,type,
set_or1222579329274155063t_real: real > real > set_real ).
thf(func_def_751,type,
set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat ).
thf(func_def_752,type,
set_or4662586982721622107an_int: int > int > set_int ).
thf(func_def_753,type,
set_or4665077453230672383an_nat: nat > nat > set_nat ).
thf(func_def_754,type,
set_ord_atLeast_nat: nat > set_nat ).
thf(func_def_755,type,
set_ord_atLeast_real: real > set_real ).
thf(func_def_756,type,
set_ord_atMost_nat: nat > set_nat ).
thf(func_def_757,type,
set_or6656581121297822940st_int: int > int > set_int ).
thf(func_def_758,type,
set_or6659071591806873216st_nat: nat > nat > set_nat ).
thf(func_def_759,type,
set_or5832277885323065728an_int: int > int > set_int ).
thf(func_def_760,type,
set_or5834768355832116004an_nat: nat > nat > set_nat ).
thf(func_def_761,type,
set_or1633881224788618240n_real: real > real > set_real ).
thf(func_def_762,type,
set_or1210151606488870762an_nat: nat > set_nat ).
thf(func_def_763,type,
set_or5849166863359141190n_real: real > set_real ).
thf(func_def_764,type,
set_ord_lessThan_nat: nat > set_nat ).
thf(func_def_765,type,
set_or5984915006950818249n_real: real > set_real ).
thf(func_def_766,type,
abort_real: literal > ( product_unit > real ) > real ).
thf(func_def_767,type,
literal2: $o > $o > $o > $o > $o > $o > $o > literal > literal ).
thf(func_def_768,type,
ascii_of: char > char ).
thf(func_def_769,type,
char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).
thf(func_def_770,type,
comm_s629917340098488124ar_nat: char > nat ).
thf(func_def_771,type,
integer_of_char: char > code_integer ).
thf(func_def_772,type,
unique3096191561947761185of_nat: nat > char ).
thf(func_def_773,type,
topolo4422821103128117721l_real: filter_real > ( real > real ) > $o ).
thf(func_def_774,type,
topolo5044208981011980120l_real: set_real > ( real > real ) > $o ).
thf(func_def_775,type,
topolo6980174941875973593q_real: ( nat > real ) > $o ).
thf(func_def_776,type,
topolo2177554685111907308n_real: real > set_real > filter_real ).
thf(func_def_777,type,
topolo7531315842566124627t_real: ( nat > real ) > $o ).
thf(func_def_778,type,
topolo2815343760600316023s_real: real > filter_real ).
thf(func_def_779,type,
topolo6517432010174082258omplex: ( nat > complex ) > $o ).
thf(func_def_780,type,
topolo4055970368930404560y_real: ( nat > real ) > $o ).
thf(func_def_781,type,
topolo896644834953643431omplex: filter6041513312241820739omplex ).
thf(func_def_782,type,
topolo1511823702728130853y_real: filter2146258269922977983l_real ).
thf(func_def_783,type,
arccos: real > real ).
thf(func_def_784,type,
arcosh_real: real > real ).
thf(func_def_785,type,
arcsin: real > real ).
thf(func_def_786,type,
arctan: real > real ).
thf(func_def_787,type,
arsinh_real: real > real ).
thf(func_def_788,type,
artanh_real: real > real ).
thf(func_def_789,type,
cos_complex: complex > complex ).
thf(func_def_790,type,
cos_real: real > real ).
thf(func_def_791,type,
cos_coeff: nat > real ).
thf(func_def_792,type,
cosh_complex: complex > complex ).
thf(func_def_793,type,
cosh_real: real > real ).
thf(func_def_794,type,
cot_complex: complex > complex ).
thf(func_def_795,type,
cot_real: real > real ).
thf(func_def_796,type,
exp_complex: complex > complex ).
thf(func_def_797,type,
exp_real: real > real ).
thf(func_def_798,type,
ln_ln_real: real > real ).
thf(func_def_799,type,
log: real > real > real ).
thf(func_def_800,type,
pi: real ).
thf(func_def_801,type,
powr_real: real > real > real ).
thf(func_def_802,type,
powr_real2: real > real > real ).
thf(func_def_803,type,
sin_complex: complex > complex ).
thf(func_def_804,type,
sin_real: real > real ).
thf(func_def_805,type,
sin_coeff: nat > real ).
thf(func_def_806,type,
sinh_complex: complex > complex ).
thf(func_def_807,type,
sinh_real: real > real ).
thf(func_def_808,type,
tan_complex: complex > complex ).
thf(func_def_809,type,
tan_real: real > real ).
thf(func_def_810,type,
tanh_complex: complex > complex ).
thf(func_def_811,type,
tanh_real: real > real ).
thf(func_def_812,type,
transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_813,type,
transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_814,type,
vEBT_Leaf: $o > $o > vEBT_VEBT ).
thf(func_def_815,type,
vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).
thf(func_def_816,type,
vEBT_size_VEBT: vEBT_VEBT > nat ).
thf(func_def_817,type,
vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).
thf(func_def_818,type,
vEBT_VEBT_elim_dead: vEBT_VEBT > extended_enat > vEBT_VEBT ).
thf(func_def_819,type,
vEBT_V312737461966249ad_rel: produc7272778201969148633d_enat > produc7272778201969148633d_enat > $o ).
thf(func_def_820,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(func_def_821,type,
vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).
thf(func_def_822,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(func_def_823,type,
vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).
thf(func_def_824,type,
vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_825,type,
vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).
thf(func_def_826,type,
vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_827,type,
vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).
thf(func_def_828,type,
vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_829,type,
vEBT_invar_vebt: vEBT_VEBT > nat > $o ).
thf(func_def_830,type,
vEBT_set_vebt: vEBT_VEBT > set_nat ).
thf(func_def_831,type,
vEBT_vebt_buildup: nat > vEBT_VEBT ).
thf(func_def_832,type,
vEBT_v4011308405150292612up_rel: nat > nat > $o ).
thf(func_def_833,type,
vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_834,type,
vEBT_vebt_insert_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_835,type,
vEBT_VEBT_bit_concat: nat > nat > nat > nat ).
thf(func_def_836,type,
vEBT_VEBT_minNull: vEBT_VEBT > $o ).
thf(func_def_837,type,
vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).
thf(func_def_838,type,
vEBT_vebt_member: vEBT_VEBT > nat > $o ).
thf(func_def_839,type,
vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_840,type,
vEBT_VEBT_add: option_nat > option_nat > option_nat ).
thf(func_def_841,type,
vEBT_VEBT_greater: option_nat > option_nat > $o ).
thf(func_def_842,type,
vEBT_VEBT_less: option_nat > option_nat > $o ).
thf(func_def_843,type,
vEBT_VEBT_lesseq: option_nat > option_nat > $o ).
thf(func_def_844,type,
vEBT_VEBT_max_in_set: set_nat > nat > $o ).
thf(func_def_845,type,
vEBT_VEBT_min_in_set: set_nat > nat > $o ).
thf(func_def_846,type,
vEBT_VEBT_mul: option_nat > option_nat > option_nat ).
thf(func_def_847,type,
vEBT_V4262088993061758097ft_nat: ( nat > nat > nat ) > option_nat > option_nat > option_nat ).
thf(func_def_848,type,
vEBT_VEBT_power: option_nat > option_nat > option_nat ).
thf(func_def_849,type,
vEBT_vebt_maxt: vEBT_VEBT > option_nat ).
thf(func_def_850,type,
vEBT_vebt_maxt_rel: vEBT_VEBT > vEBT_VEBT > $o ).
thf(func_def_851,type,
vEBT_vebt_mint: vEBT_VEBT > option_nat ).
thf(func_def_852,type,
vEBT_vebt_mint_rel: vEBT_VEBT > vEBT_VEBT > $o ).
thf(func_def_853,type,
vEBT_is_succ_in_set: set_nat > nat > nat > $o ).
thf(func_def_854,type,
vEBT_vebt_succ: vEBT_VEBT > nat > option_nat ).
thf(func_def_855,type,
vEBT_vebt_succ_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_856,type,
accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).
thf(func_def_857,type,
accp_nat: ( nat > nat > $o ) > nat > $o ).
thf(func_def_858,type,
accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).
thf(func_def_859,type,
accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_860,type,
accp_P3113834385874906142um_num: ( product_prod_num_num > product_prod_num_num > $o ) > product_prod_num_num > $o ).
thf(func_def_861,type,
accp_P6183159247885693666d_enat: ( produc7272778201969148633d_enat > produc7272778201969148633d_enat > $o ) > produc7272778201969148633d_enat > $o ).
thf(func_def_862,type,
accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).
thf(func_def_863,type,
accp_VEBT_VEBT: ( vEBT_VEBT > vEBT_VEBT > $o ) > vEBT_VEBT > $o ).
thf(func_def_864,type,
less_than: set_Pr1261947904930325089at_nat ).
thf(func_def_865,type,
pred_nat: set_Pr1261947904930325089at_nat ).
thf(func_def_866,type,
fChoice_real: ( real > $o ) > real ).
thf(func_def_867,type,
member_o: $o > set_o > $o ).
thf(func_def_868,type,
member_Code_integer: code_integer > set_Code_integer > $o ).
thf(func_def_869,type,
member_complex: complex > set_complex > $o ).
thf(func_def_870,type,
member_Extended_enat: extended_enat > set_Extended_enat > $o ).
thf(func_def_871,type,
member_int: int > set_int > $o ).
thf(func_def_872,type,
member_list_nat: list_nat > set_list_nat > $o ).
thf(func_def_873,type,
member_nat: nat > set_nat > $o ).
thf(func_def_874,type,
member_num: num > set_num > $o ).
thf(func_def_875,type,
member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_876,type,
member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_877,type,
member_rat: rat > set_rat > $o ).
thf(func_def_878,type,
member_real: real > set_real > $o ).
thf(func_def_879,type,
member_set_nat: set_nat > set_set_nat > $o ).
thf(func_def_880,type,
member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).
thf(func_def_881,type,
deg: nat ).
thf(func_def_882,type,
m: nat ).
thf(func_def_883,type,
ma: nat ).
thf(func_def_884,type,
mi: nat ).
thf(func_def_885,type,
miny: nat ).
thf(func_def_886,type,
na: nat ).
thf(func_def_887,type,
res: nat ).
thf(func_def_888,type,
sc: nat ).
thf(func_def_889,type,
summary: vEBT_VEBT ).
thf(func_def_890,type,
treeList: list_VEBT_VEBT ).
thf(func_def_891,type,
xa: nat ).
thf(func_def_892,type,
za: nat ).
thf(func_def_896,type,
vOR: $o > $o > $o ).
thf(func_def_897,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_898,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_899,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_900,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_901,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_902,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_903,type,
vAND: $o > $o > $o ).
thf(func_def_904,type,
vNOT: $o > $o ).
thf(func_def_905,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_906,type,
vIMP: $o > $o > $o ).
thf(func_def_907,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_908,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_909,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_910,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_911,type,
sP0: int > int > int > $o ).
thf(func_def_912,type,
sP1: nat > $o > vEBT_VEBT > $o ).
thf(func_def_913,type,
sP2: $o > nat > vEBT_VEBT > $o ).
thf(func_def_914,type,
sP3: nat > vEBT_VEBT > $o ).
thf(func_def_915,type,
sP4: nat > nat > nat > $o ).
thf(func_def_916,type,
sK5: ( nat > nat > $o ) > nat ).
thf(func_def_917,type,
sK6: ( nat > nat > $o ) > nat ).
thf(func_def_918,type,
sK7: ( nat > nat > $o ) > nat ).
thf(func_def_919,type,
sK8: ( nat > nat > $o ) > nat ).
thf(func_def_920,type,
sK9: ( nat > real ) > nat ).
thf(func_def_921,type,
sK10: ( nat > real ) > nat ).
thf(func_def_922,type,
sK11: ( nat > $o ) > nat ).
thf(func_def_923,type,
sK12: nat > nat ).
thf(func_def_924,type,
sK13: nat > nat > nat > nat ).
thf(func_def_925,type,
sK14: nat > nat > nat > nat ).
thf(func_def_926,type,
sK15: ( nat > $o ) > nat > nat ).
thf(func_def_927,type,
sK16: vEBT_VEBT > $o ).
thf(func_def_928,type,
sK17: vEBT_VEBT > $o ).
thf(func_def_929,type,
sK18: nat > nat ).
thf(func_def_930,type,
sK19: ( nat > $o ) > nat > nat ).
thf(func_def_931,type,
sK20: ( nat > $o ) > nat > nat ).
thf(func_def_932,type,
sK21: nat > real > real ).
thf(func_def_933,type,
sK22: nat > nat ).
thf(func_def_934,type,
sK23: nat > nat > nat ).
thf(func_def_935,type,
sK24: list_VEBT_VEBT > list_VEBT_VEBT > nat ).
thf(func_def_936,type,
sK25: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_937,type,
sK26: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_938,type,
sK27: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_939,type,
sK28: real > real > real ).
thf(func_def_940,type,
sK29: ( real > nat ) > real ).
thf(func_def_941,type,
sK30: ( real > nat ) > real ).
thf(func_def_942,type,
sK31: int > int ).
thf(func_def_943,type,
sK32: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_944,type,
sK33: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_945,type,
sK34: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_946,type,
sK35: real > real > nat ).
thf(func_def_947,type,
sK36: int > int ).
thf(func_def_948,type,
sK37: ( nat > nat ) > nat ).
thf(func_def_949,type,
sK38: real > nat > real ).
thf(func_def_950,type,
sK39: real > real > real ).
thf(func_def_951,type,
sK40: real > real > real > real ).
thf(func_def_952,type,
sK41: real > real > real ).
thf(func_def_953,type,
sK42: ( nat > nat ) > nat ).
thf(func_def_954,type,
sK43: real > real ).
thf(func_def_955,type,
sK44: nat > nat ).
thf(func_def_956,type,
sK45: ( int > $o ) > int > int ).
thf(func_def_957,type,
sK46: real > real > nat ).
thf(func_def_958,type,
sK47: ( int > real ) > int ).
thf(func_def_959,type,
sK48: ( int > real ) > int ).
thf(func_def_960,type,
sK49: real > real ).
thf(func_def_961,type,
sK50: real > nat > real ).
thf(func_def_962,type,
sK51: nat > nat > nat ).
thf(func_def_963,type,
sK52: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_964,type,
sK53: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_965,type,
sK54: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_966,type,
sK55: nat > nat > nat ).
thf(func_def_967,type,
sK56: real > real > nat ).
thf(func_def_968,type,
sK57: nat > nat > nat ).
thf(func_def_969,type,
sK58: nat > nat > nat > nat ).
thf(func_def_970,type,
sK59: nat > nat > nat > nat ).
thf(func_def_971,type,
sK60: nat > ( nat > $o ) > nat ).
thf(func_def_972,type,
sK61: nat > ( nat > $o ) > nat ).
thf(func_def_973,type,
sK62: ( nat > $o ) > nat > nat ).
thf(func_def_974,type,
sK63: ( nat > $o ) > nat ).
thf(func_def_975,type,
sK64: nat > nat ).
thf(func_def_976,type,
sK65: nat > nat ).
thf(func_def_977,type,
sK66: nat > nat > nat ).
thf(func_def_978,type,
sK67: ( nat > int ) > nat ).
thf(func_def_979,type,
sK68: ( nat > real ) > nat ).
thf(func_def_980,type,
sK69: ( nat > real ) > nat ).
thf(func_def_981,type,
sK70: real > real > real ).
thf(func_def_982,type,
sK71: int > ( int > $o ) > int ).
thf(func_def_983,type,
sK72: int > int ).
thf(func_def_984,type,
sK73: nat > ( nat > $o ) > nat ).
thf(func_def_985,type,
sK74: nat > ( nat > $o ) > nat ).
thf(func_def_986,type,
sK75: nat > nat > nat ).
thf(func_def_987,type,
sK76: ( nat > $o ) > nat > nat ).
thf(func_def_988,type,
sK77: ( nat > $o ) > nat > nat ).
thf(func_def_989,type,
sK78: int > int ).
thf(func_def_990,type,
sK79: nat > vEBT_VEBT > vEBT_VEBT ).
thf(func_def_991,type,
sK80: nat > vEBT_VEBT > option4927543243414619207at_nat ).
thf(func_def_992,type,
sK81: nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_993,type,
sK82: ( nat > $o ) > nat ).
thf(func_def_994,type,
sK83: ( real > real ) > real ).
thf(func_def_995,type,
sK84: ( real > real ) > real ).
thf(func_def_996,type,
sK85: real > real ).
thf(func_def_997,type,
sK86: nat > nat > nat ).
thf(func_def_998,type,
sK87: nat > nat > nat ).
thf(func_def_999,type,
sK88: nat > nat > nat ).
thf(func_def_1000,type,
sK89: nat > nat ).
thf(func_def_1001,type,
sK90: real > real ).
thf(func_def_1002,type,
sK91: ( nat > $o ) > nat > nat > nat ).
thf(func_def_1003,type,
sK92: ( nat > $o ) > nat > nat > nat ).
thf(func_def_1004,type,
sK93: ( list_VEBT_VEBT > $o ) > list_VEBT_VEBT ).
thf(func_def_1005,type,
sK94: ( int > $o ) > int ).
thf(func_def_1006,type,
sK95: ( int > $o ) > int ).
thf(func_def_1007,type,
sK96: real > nat ).
thf(func_def_1008,type,
sK97: ( nat > $o ) > nat ).
thf(func_def_1009,type,
sK98: nat > nat > nat ).
thf(func_def_1010,type,
sK99: nat > nat > nat ).
thf(func_def_1011,type,
sK100: nat > nat ).
thf(func_def_1012,type,
sK101: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1013,type,
sK102: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1014,type,
sK103: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1015,type,
sK104: vEBT_VEBT > $o ).
thf(func_def_1016,type,
sK105: vEBT_VEBT > $o ).
thf(func_def_1017,type,
sK106: int > int ).
thf(func_def_1018,type,
sK107: nat > nat > nat ).
thf(func_def_1019,type,
sK108: nat > nat > nat > nat ).
thf(func_def_1020,type,
sK109: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1021,type,
sK110: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1022,type,
sK111: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1023,type,
sK112: ( real > int ) > real ).
thf(func_def_1024,type,
sK113: ( real > int ) > real ).
thf(func_def_1025,type,
sK114: nat > nat > nat ).
thf(func_def_1026,type,
sK115: real > real ).
thf(func_def_1027,type,
sK116: int > int ).
thf(func_def_1028,type,
sK117: nat > nat ).
thf(func_def_1029,type,
sK118: ( nat > real ) > nat ).
thf(func_def_1030,type,
sK119: real > real ).
thf(func_def_1031,type,
sK120: ( real > int ) > real ).
thf(func_def_1032,type,
sK121: ( real > int ) > real ).
thf(func_def_1033,type,
sK122: real > real ).
thf(func_def_1034,type,
sK123: nat > nat > ( nat > $o ) > nat ).
thf(func_def_1035,type,
sK124: $o > nat > vEBT_VEBT > $o ).
thf(func_def_1036,type,
sK125: $o > nat > vEBT_VEBT > $o ).
thf(func_def_1037,type,
sK126: nat > $o > vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1038,type,
sK127: nat > $o > vEBT_VEBT > nat ).
thf(func_def_1039,type,
sK128: nat > $o > vEBT_VEBT > nat ).
thf(func_def_1040,type,
sK129: nat > $o > vEBT_VEBT > nat ).
thf(func_def_1041,type,
sK130: nat > $o > vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1042,type,
sK131: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1043,type,
sK132: vEBT_VEBT > product_prod_nat_nat ).
thf(func_def_1044,type,
sK133: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1045,type,
sK134: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1046,type,
sK135: vEBT_VEBT > nat ).
thf(func_def_1047,type,
sK136: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1048,type,
sK137: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1049,type,
sK138: vEBT_VEBT > product_prod_nat_nat ).
thf(func_def_1050,type,
sK139: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1051,type,
sK140: ( nat > $o ) > nat > nat ).
thf(func_def_1052,type,
sK141: ( nat > $o ) > nat ).
thf(func_def_1053,type,
sK142: real > real ).
thf(func_def_1054,type,
sK143: nat > nat > nat > nat ).
thf(func_def_1055,type,
sK144: nat > nat > nat > nat ).
thf(func_def_1056,type,
sK145: real > real > real ).
thf(func_def_1057,type,
sK146: nat > nat ).
thf(func_def_1058,type,
sK147: nat > nat > nat ).
thf(func_def_1059,type,
sK148: ( real > real ) > real ).
thf(func_def_1060,type,
sK149: ( real > real ) > real ).
thf(func_def_1061,type,
sK150: ( real > real ) > real ).
thf(func_def_1062,type,
sK151: ( real > real ) > real ).
thf(func_def_1063,type,
sK152: ( int > int > $o ) > int ).
thf(func_def_1064,type,
sK153: ( int > int > $o ) > int ).
thf(func_def_1065,type,
sK154: ( int > int > $o ) > int ).
thf(func_def_1066,type,
sK155: ( int > int > $o ) > int ).
thf(func_def_1067,type,
sK156: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1068,type,
sK157: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1069,type,
sK158: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1070,type,
sK159: nat > nat ).
thf(func_def_1071,type,
sK160: nat > ( nat > $o ) > nat ).
thf(func_def_1072,type,
sK161: nat > ( nat > $o ) > nat ).
thf(func_def_1073,type,
sK162: real > real > nat ).
thf(func_def_1074,type,
sK163: real > real ).
thf(func_def_1075,type,
sK164: nat ).
thf(func_def_1076,type,
sK165: real > real ).
thf(func_def_1077,type,
sK166: real > real > ( real > real > $o ) > real ).
thf(func_def_1078,type,
sK167: real > real > real > ( real > real > $o ) > real ).
thf(func_def_1079,type,
sK168: real > real > real > ( real > real > $o ) > real ).
thf(func_def_1080,type,
sK169: ( real > real > $o ) > real ).
thf(func_def_1081,type,
sK170: ( real > real > $o ) > real ).
thf(func_def_1082,type,
sK171: ( real > real > $o ) > real ).
thf(func_def_1083,type,
sK172: int > int ).
thf(func_def_1084,type,
sK173: real > real ).
thf(func_def_1085,type,
sK174: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1086,type,
sK175: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1087,type,
sK176: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1088,type,
sK177: nat > nat > nat ).
thf(func_def_1089,type,
sK178: ( nat > nat > $o ) > nat ).
thf(func_def_1090,type,
sK179: ( nat > nat > $o ) > nat ).
thf(func_def_1091,type,
sK180: ( nat > nat > $o ) > nat ).
thf(func_def_1092,type,
sK181: ( nat > nat > $o ) > nat ).
thf(func_def_1093,type,
sK182: ( nat > nat > $o ) > nat ).
thf(func_def_1094,type,
sK183: ( nat > nat > $o ) > nat ).
thf(func_def_1095,type,
sK184: ( nat > nat > $o ) > nat ).
thf(func_def_1096,type,
sK185: ( nat > nat > $o ) > nat ).
thf(func_def_1097,type,
sK186: ( nat > nat > $o ) > nat ).
thf(func_def_1098,type,
sK187: int > int ).
thf(func_def_1099,type,
sK188: ( nat > $o ) > nat ).
thf(func_def_1100,type,
sK189: ( nat > $o ) > nat > nat ).
thf(func_def_1101,type,
sK190: ( nat > $o ) > nat > nat ).
thf(func_def_1102,type,
sK191: real > real > real ).
thf(func_def_1103,type,
sK192: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1104,type,
sK193: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1105,type,
sK194: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1106,type,
sK195: nat > ( nat > $o ) > nat ).
thf(func_def_1107,type,
sK196: nat > nat > nat ).
thf(func_def_1108,type,
sK197: nat > nat > nat ).
thf(func_def_1109,type,
sK198: ( nat > nat > $o ) > nat ).
thf(func_def_1110,type,
sK199: ( nat > nat > $o ) > nat ).
thf(func_def_1111,type,
sK200: ( nat > nat > $o ) > nat ).
thf(func_def_1112,type,
sK201: ( nat > nat > $o ) > nat ).
thf(func_def_1113,type,
sK202: ( nat > nat > $o ) > nat ).
thf(func_def_1114,type,
sK203: ( nat > int ) > nat ).
thf(func_def_1115,type,
sK204: real > ( real > $o ) > real ).
thf(func_def_1116,type,
sK205: real > ( real > $o ) > real ).
thf(func_def_1117,type,
sK206: ( real > $o ) > real > real ).
thf(func_def_1118,type,
sK207: ( real > $o ) > real > real ).
thf(func_def_1119,type,
sK208: nat > vEBT_VEBT > nat ).
thf(func_def_1120,type,
sK209: nat > vEBT_VEBT > nat ).
thf(func_def_1121,type,
sK210: nat > vEBT_VEBT > nat ).
thf(func_def_1122,type,
sK211: nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1123,type,
sK212: nat > vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1124,type,
sK213: nat > vEBT_VEBT > $o ).
thf(func_def_1125,type,
sK214: nat > vEBT_VEBT > $o ).
thf(func_def_1126,type,
sK215: num > num ).
thf(func_def_1127,type,
sK216: num > num ).
thf(func_def_1128,type,
sK217: ( nat > nat > $o ) > nat ).
thf(func_def_1129,type,
sK218: ( nat > nat > $o ) > nat ).
thf(func_def_1130,type,
sK219: ( nat > nat > $o ) > nat ).
thf(func_def_1131,type,
sK220: ( nat > nat > $o ) > nat ).
thf(func_def_1132,type,
sK221: ( nat > nat > $o ) > nat ).
thf(func_def_1133,type,
sK222: nat > nat ).
thf(func_def_1134,type,
sK223: nat > nat ).
thf(func_def_1135,type,
sK224: ( nat > $o ) > nat ).
thf(func_def_1136,type,
sK225: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1137,type,
sK226: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1138,type,
sK227: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1139,type,
sK228: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1140,type,
sK229: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1141,type,
sK230: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1142,type,
sK231: ( nat > int ) > nat ).
thf(func_def_1143,type,
sK232: nat > nat ).
thf(func_def_1144,type,
sK233: nat > nat ).
thf(func_def_1145,type,
sK234: ( nat > $o ) > nat ).
thf(func_def_1146,type,
sK235: ( nat > $o ) > nat > nat > nat ).
thf(func_def_1147,type,
sK236: ( nat > $o ) > nat > nat > nat ).
thf(func_def_1148,type,
sK237: real > real > nat ).
thf(func_def_1149,type,
sK238: int > int ).
thf(func_def_1150,type,
sK239: nat > nat > nat ).
thf(func_def_1151,type,
sK240: nat > nat > nat ).
thf(func_def_1152,type,
sK241: nat > nat > nat ).
thf(func_def_1153,type,
sK242: ( nat > nat ) > nat ).
thf(func_def_1154,type,
sK243: ( nat > nat ) > nat ).
thf(func_def_1155,type,
sK244: nat > nat ).
thf(func_def_1156,type,
sK245: nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1157,type,
sK246: nat > vEBT_VEBT > nat ).
thf(func_def_1158,type,
sK247: nat > vEBT_VEBT > nat ).
thf(func_def_1159,type,
sK248: nat > vEBT_VEBT > nat ).
thf(func_def_1160,type,
sK249: nat > vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1161,type,
sK250: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1162,type,
sK251: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1163,type,
sK252: vEBT_VEBT > nat ).
thf(func_def_1164,type,
sK253: vEBT_VEBT > product_prod_nat_nat ).
thf(func_def_1165,type,
sK254: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1166,type,
sK255: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1167,type,
sK256: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1168,type,
sK257: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1169,type,
sK258: vEBT_VEBT > product_prod_nat_nat ).
thf(func_def_1170,type,
sK259: vEBT_VEBT > nat > $o ).
thf(func_def_1171,type,
sK260: vEBT_VEBT > nat > $o ).
thf(func_def_1172,type,
sK261: nat > nat ).
thf(func_def_1173,type,
sK262: nat > nat ).
thf(func_def_1174,type,
sK263: vEBT_VEBT > $o ).
thf(func_def_1175,type,
sK264: vEBT_VEBT > $o ).
thf(func_def_1176,type,
sK265: ( nat > $o ) > nat > nat > nat ).
thf(func_def_1177,type,
sK266: ( int > real ) > int ).
thf(func_def_1178,type,
sK267: ( int > real ) > int ).
thf(func_def_1179,type,
sK268: nat > nat > nat > nat ).
thf(func_def_1180,type,
sK269: nat > nat > nat > nat ).
thf(func_def_1181,type,
sK270: ( real > int ) > real ).
thf(func_def_1182,type,
sK271: ( real > int ) > real ).
thf(func_def_1183,type,
sK272: nat > nat > nat ).
thf(func_def_1184,type,
sK273: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1185,type,
sK274: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1186,type,
sK275: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1187,type,
sK276: nat > nat > nat > nat ).
thf(func_def_1188,type,
sK277: ( real > real > $o ) > real ).
thf(func_def_1189,type,
sK278: ( real > real > $o ) > real ).
thf(func_def_1190,type,
sK279: ( real > real > $o ) > real ).
thf(func_def_1191,type,
sK280: ( real > real > $o ) > real ).
thf(func_def_1192,type,
sK281: ( real > real > $o ) > real ).
thf(func_def_1193,type,
sK282: int > int ).
thf(func_def_1194,type,
sK283: nat > ( nat > $o ) > nat ).
thf(func_def_1195,type,
sK284: nat > nat ).
thf(func_def_1196,type,
sK285: ( int > int > $o ) > int ).
thf(func_def_1197,type,
sK286: ( int > int > $o ) > int ).
thf(func_def_1198,type,
sK287: ( int > int > $o ) > int ).
thf(func_def_1199,type,
sK288: ( int > int > $o ) > int ).
thf(func_def_1200,type,
sK289: ( int > int > $o ) > int ).
thf(func_def_1201,type,
sK290: vEBT_VEBT > nat > nat ).
thf(func_def_1202,type,
sK291: real > real > real > real ).
thf(func_def_1203,type,
sK292: ( int > real ) > int ).
thf(func_def_1204,type,
sK293: ( int > real ) > int ).
thf(func_def_1205,type,
sK294: real > nat ).
thf(func_def_1206,type,
sK295: ( nat > $o ) > nat > nat > nat ).
thf(func_def_1207,type,
sK296: ( nat > vEBT_VEBT > $o ) > nat > list_VEBT_VEBT ).
thf(func_def_1208,type,
sK297: ( nat > vEBT_VEBT > $o ) > nat > nat ).
thf(func_def_1209,type,
sK298: nat > ( nat > vEBT_VEBT > $o ) > vEBT_VEBT ).
thf(func_def_1210,type,
sK299: list_VEBT_VEBT > ( nat > vEBT_VEBT > $o ) > nat > nat ).
thf(func_def_1211,type,
sK300: real > real ).
thf(func_def_1212,type,
sK301: nat > nat > nat ).
thf(func_def_1213,type,
sK302: ( nat > $o ) > nat ).
thf(func_def_1214,type,
sK303: real > nat ).
thf(func_def_1215,type,
sK304: vEBT_VEBT > option_nat > $o ).
thf(func_def_1216,type,
sK305: vEBT_VEBT > option_nat > $o ).
thf(func_def_1217,type,
sK306: vEBT_VEBT > option_nat > nat ).
thf(func_def_1218,type,
sK307: vEBT_VEBT > option_nat > nat ).
thf(func_def_1219,type,
sK308: vEBT_VEBT > option_nat > vEBT_VEBT ).
thf(func_def_1220,type,
sK309: vEBT_VEBT > option_nat > nat ).
thf(func_def_1221,type,
sK310: vEBT_VEBT > option_nat > list_VEBT_VEBT ).
thf(func_def_1222,type,
sK311: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1223,type,
sK312: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1224,type,
sK313: vEBT_VEBT > nat ).
thf(func_def_1225,type,
sK314: nat > ( nat > $o ) > nat ).
thf(func_def_1226,type,
sK315: nat > ( nat > $o ) > nat ).
thf(func_def_1227,type,
sK316: ( nat > $o ) > nat ).
thf(func_def_1228,type,
sK317: ( nat > $o ) > nat ).
thf(func_def_1229,type,
sK318: nat > nat > nat ).
thf(func_def_1230,type,
sK319: ( nat > $o ) > nat > nat > nat ).
thf(func_def_1231,type,
sK320: ( nat > int ) > nat ).
thf(func_def_1232,type,
sK321: real > real ).
thf(func_def_1233,type,
sK322: nat > nat ).
thf(func_def_1234,type,
sK323: nat > nat ).
thf(func_def_1235,type,
sK324: ( real > real ) > real ).
thf(func_def_1236,type,
sK325: ( real > real ) > real ).
thf(func_def_1237,type,
sK326: int > int ).
thf(func_def_1238,type,
sK327: ( nat > nat ) > nat ).
thf(func_def_1239,type,
sK328: ( nat > real ) > nat ).
thf(func_def_1240,type,
sK329: ( nat > nat ) > nat ).
thf(func_def_1241,type,
sK330: int > int ).
thf(func_def_1242,type,
sK331: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1243,type,
sK332: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1244,type,
sK333: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1245,type,
sK334: ( nat > $o ) > nat ).
thf(func_def_1246,type,
sK335: nat > nat > nat ).
thf(func_def_1247,type,
sK336: nat > nat > nat ).
thf(func_def_1248,type,
sK337: ( nat > $o ) > nat ).
thf(func_def_1249,type,
sK338: ( real > real ) > real ).
thf(func_def_1250,type,
sK339: ( real > real ) > real ).
thf(func_def_1251,type,
sK340: ( nat > $o ) > nat ).
thf(func_def_1252,type,
sK341: real > ( real > $o ) > real ).
thf(func_def_1253,type,
sK342: real > ( real > $o ) > real ).
thf(func_def_1254,type,
sK343: real > ( real > $o ) > real ).
thf(func_def_1255,type,
sK344: real > ( real > $o ) > real ).
thf(func_def_1256,type,
sK345: ( nat > real ) > nat ).
thf(func_def_1257,type,
sK346: ( nat > real ) > nat ).
thf(func_def_1258,type,
sK347: ( nat > nat ) > nat ).
thf(func_def_1259,type,
sK348: ( nat > nat ) > nat ).
thf(func_def_1260,type,
sK349: nat > nat > nat > nat ).
thf(func_def_1261,type,
sK350: int > int ).
thf(func_def_1262,type,
sK351: nat > nat > nat ).
thf(func_def_1263,type,
sK352: ( int > $o ) > int > int ).
thf(func_def_1264,type,
sK353: nat > ( nat > $o ) > nat > nat ).
thf(func_def_1265,type,
sK354: nat > nat ).
thf(func_def_1266,type,
sK355: ( nat > nat > $o ) > nat ).
thf(func_def_1267,type,
sK356: ( nat > nat > $o ) > nat ).
thf(func_def_1268,type,
sK357: ( nat > nat > $o ) > nat ).
thf(func_def_1269,type,
sK358: int > int ).
thf(func_def_1270,type,
sK359: ( real > real ) > real ).
thf(func_def_1271,type,
sK360: ( real > real ) > real ).
thf(func_def_1272,type,
sK361: ( nat > nat > $o ) > nat ).
thf(func_def_1273,type,
sK362: ( nat > nat > $o ) > nat ).
thf(func_def_1274,type,
sK363: ( nat > nat > $o ) > nat ).
thf(func_def_1275,type,
sK364: ( nat > nat > $o ) > nat ).
thf(func_def_1276,type,
sK365: ( nat > $o ) > nat ).
thf(func_def_1277,type,
sK366: ( real > nat ) > real ).
thf(func_def_1278,type,
sK367: ( real > nat ) > real ).
thf(func_def_1279,type,
sK368: nat > nat ).
thf(func_def_1280,type,
sK369: real > real ).
thf(func_def_1281,type,
sK370: ( nat > $o ) > nat > nat ).
thf(func_def_1282,type,
sK371: nat > nat > nat ).
thf(func_def_1283,type,
sK372: nat > nat > nat ).
thf(func_def_1284,type,
sK373: nat > nat > nat ).
thf(func_def_1285,type,
sK374: ( real > nat ) > real ).
thf(func_def_1286,type,
sK375: ( real > nat ) > real ).
thf(func_def_1287,type,
sK376: real > real ).
thf(func_def_1288,type,
sK377: nat > nat ).
thf(func_def_1289,type,
sK378: real > real ).
thf(f1,axiom,
ord_less_eq_nat @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_bbbb) ).
thf(f3,axiom,
ord_less_eq_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_aaaa) ).
thf(f336,axiom,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_Suc__1) ).
thf(f8011,axiom,
! [X1: nat,X0: nat] :
( ( ord_less_eq_nat @ X0 @ X1 )
=> ~ ( ord_less_nat @ X1 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8010_leD) ).
thf(f8165,axiom,
! [X1: nat,X0: nat] :
( ( X0 != X1 )
=> ( ( ord_less_eq_nat @ X0 @ X1 )
=> ( ord_less_nat @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8164_order__neq__le__trans) ).
thf(f10257,conjecture,
( ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f10258,negated_conjecture,
( ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
!= ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f10257]) ).
thf(f12235,plain,
( ( numeral_numeral_nat @ ( bit0 @ one ) )
= ( suc @ one_one_nat ) ),
inference(fool_elimination,[],[f336]) ).
thf(f12687,plain,
! [X0: nat,X1: nat] :
( ( ord_less_eq_nat @ X1 @ X0 )
=> ~ ( ord_less_nat @ X0 @ X1 ) ),
inference(rectify,[],[f8011]) ).
thf(f12688,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X1 @ X0 )
= $true )
=> ( ( ord_less_nat @ X0 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f12687]) ).
thf(f14209,plain,
ord_less_eq_nat @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f14210,plain,
( ( ord_less_eq_nat @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f14209]) ).
thf(f23724,plain,
( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
!= ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
inference(fool_elimination,[],[f10258]) ).
thf(f25348,plain,
ord_less_eq_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f25349,plain,
( ( ord_less_eq_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f25348]) ).
thf(f25885,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ( ord_less_eq_nat @ X1 @ X0 )
=> ( ord_less_nat @ X1 @ X0 ) ) ),
inference(rectify,[],[f8165]) ).
thf(f25886,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ( ( ord_less_eq_nat @ X1 @ X0 )
= $true )
=> ( ( ord_less_nat @ X1 @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f25885]) ).
thf(f27450,plain,
( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
!= ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
inference(flattening,[],[f23724]) ).
thf(f27495,plain,
! [X1: nat,X0: nat] :
( ( ( ord_less_eq_nat @ X1 @ X0 )
= $true )
=> ( ( ord_less_nat @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f12688]) ).
thf(f27902,plain,
! [X1: nat,X0: nat] :
( ( ( ord_less_eq_nat @ X1 @ X0 )
!= $true )
| ( ( ord_less_nat @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f27495]) ).
thf(f28228,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_nat @ X1 @ X0 )
= $true )
| ( ( ord_less_eq_nat @ X1 @ X0 )
!= $true )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f25886]) ).
thf(f28229,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
| ( ( ord_less_nat @ X1 @ X0 )
= $true )
| ( ( ord_less_eq_nat @ X1 @ X0 )
!= $true ) ),
inference(flattening,[],[f28228]) ).
thf(f29999,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X0 @ X1 )
!= $true )
| ( ( ord_less_nat @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f27902]) ).
thf(f31778,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X1 @ X0 )
!= $true )
| ( ( ord_less_nat @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f28229]) ).
thf(f32223,plain,
( ( ord_less_eq_nat @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f14210]) ).
thf(f32483,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X0 @ X1 )
!= $true )
| ( ( ord_less_nat @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f29999]) ).
thf(f33161,plain,
( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
!= ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
inference(cnf_transformation,[],[f27450]) ).
thf(f35272,plain,
( ( numeral_numeral_nat @ ( bit0 @ one ) )
= ( suc @ one_one_nat ) ),
inference(cnf_transformation,[],[f12235]) ).
thf(f35817,plain,
( ( ord_less_eq_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f25349]) ).
thf(f36976,definition,
( spl379_65
<=> ( ( numeral_numeral_nat @ ( bit0 @ one ) )
= ( suc @ one_one_nat ) ) ),
introduced(definition,[new_symbols(definition,[spl379_65])],[avatar_definition]) ).
thf(f36978,plain,
( ( ( numeral_numeral_nat @ ( bit0 @ one ) )
= ( suc @ one_one_nat ) )
| ~ spl379_65 ),
inference(avatar_component_clause,[],[f36976]) ).
thf(f36979,plain,
spl379_65,
inference(avatar_split_clause,[],[f35272,f36976]) ).
thf(f37002,definition,
( spl379_70
<=> ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl379_70])],[avatar_definition]) ).
thf(f37004,plain,
( ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
!= ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
| spl379_70 ),
inference(avatar_component_clause,[],[f37002]) ).
thf(f37005,plain,
~ spl379_70,
inference(avatar_split_clause,[],[f33161,f37002]) ).
thf(f37082,definition,
( spl379_87
<=> ( ( ord_less_eq_nat @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl379_87])],[avatar_definition]) ).
thf(f37084,plain,
( ( ( ord_less_eq_nat @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $true )
| ~ spl379_87 ),
inference(avatar_component_clause,[],[f37082]) ).
thf(f37085,plain,
spl379_87,
inference(avatar_split_clause,[],[f32223,f37082]) ).
thf(f37197,definition,
( spl379_110
<=> ( ( ord_less_eq_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl379_110])],[avatar_definition]) ).
thf(f37199,plain,
( ( ( ord_less_eq_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $true )
| ~ spl379_110 ),
inference(avatar_component_clause,[],[f37197]) ).
thf(f37200,plain,
spl379_110,
inference(avatar_split_clause,[],[f35817,f37197]) ).
thf(f40423,plain,
( ( $true != $true )
| ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
!= $true )
| ~ spl379_87 ),
inference(superposition,[],[f32483,f37084]) ).
thf(f40442,plain,
( ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
!= $true )
| ~ spl379_87 ),
inference(trivial_inequality_removal,[],[f40423]) ).
thf(f40448,plain,
( ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) )
!= $true )
| ~ spl379_65
| ~ spl379_87 ),
inference(forward_demodulation,[],[f40442,f36978]) ).
thf(f40460,definition,
( spl379_289
<=> ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl379_289])],[avatar_definition]) ).
thf(f40463,plain,
( ~ spl379_289
| ~ spl379_65
| ~ spl379_87 ),
inference(avatar_split_clause,[],[f40448,f37082,f36976,f40460]) ).
thf(f41369,plain,
( ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
| ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl379_110 ),
inference(superposition,[],[f31778,f37199]) ).
thf(f41384,plain,
( ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
| ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $true )
| ~ spl379_110 ),
inference(trivial_inequality_removal,[],[f41369]) ).
thf(f41395,plain,
( ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $true )
| spl379_70
| ~ spl379_110 ),
inference(forward_subsumption_resolution,[],[f41384,f37004]) ).
thf(f41398,plain,
( ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) ) ) )
= $true )
| ~ spl379_65
| spl379_70
| ~ spl379_110 ),
inference(forward_demodulation,[],[f41395,f36978]) ).
thf(f41409,plain,
( spl379_289
| ~ spl379_65
| spl379_70
| ~ spl379_110 ),
inference(avatar_split_clause,[],[f41398,f37197,f37002,f36976,f40460]) ).
cnf(s70,plain,
spl379_65,
inference(sat_conversion,[],[f36979]) ).
cnf(s76,plain,
~ spl379_70,
inference(sat_conversion,[],[f37005]) ).
cnf(s93,plain,
spl379_87,
inference(sat_conversion,[],[f37085]) ).
cnf(s126,plain,
spl379_110,
inference(sat_conversion,[],[f37200]) ).
cnf(s411,plain,
( ~ spl379_65
| ~ spl379_87
| ~ spl379_289 ),
inference(sat_conversion,[],[f40463]) ).
cnf(s446,plain,
( ~ spl379_65
| spl379_70
| ~ spl379_110
| spl379_289 ),
inference(sat_conversion,[],[f41409]) ).
cnf(s503,plain,
spl379_289,
inference(rat,[],[s446,s76,s126,s70]) ).
cnf(s512,plain,
$false,
inference(rat,[],[s411,s93,s503,s70]) ).
thf(f41411,plain,
$false,
inference(avatar_sat_refutation,[],[s512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP246^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n007.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 20:30:11 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running higher-order theorem proving
% 4.55/4.64 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.63/5.04 % (3893869)Detected a higher-order problem, will run a greedy HOL sequence.
% 5.63/5.04 % (3893880)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.63/5.04 % (3893880)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.63/5.04 % (3893875)lrs+10_16_si=on:nwc=1.5:random_seed=787875835:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/18Mi)
% 5.63/5.04 % (3893876)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2845767611:i=3:rtra=on:inj=on:ntd=on_2997 on theBenchmark for (2997ds/3Mi)
% 5.63/5.04 % (3893874)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1605434618:s2a=on:i=87:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/87Mi)
% 5.63/5.04 % (3893877)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2239798852:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2997 on theBenchmark for (2997ds/634Mi)
% 5.63/5.04 % (3893879)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2185652592:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/75Mi)
% 5.63/5.04 % (3893878)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2315142050:i=24:av=off:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 5.63/5.04 % (3893880)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3273993217:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2997 on theBenchmark for (2997ds/157Mi)
% 5.63/5.04 % (3893876)Instruction limit reached!
% 5.63/5.04 % (3893876)------------------------------
% 5.63/5.04 % (3893876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/5.04 % (3893876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/5.04 % (3893876)CaDiCaL version: 2.1.3
% 5.63/5.04 % (3893876)Termination reason: Instruction limit
% 5.63/5.04 % (3893876)Termination phase: shuffling
% 5.63/5.04 % (3893876)Time elapsed: 0.005 s
% 5.63/5.04 % (3893876)Peak memory usage: 23 MB
% 5.63/5.04 % (3893876)Instructions burned: 3 (million)
% 5.63/5.04 % (3893875)Instruction limit reached!
% 5.63/5.04 % (3893875)------------------------------
% 5.63/5.04 % (3893875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/5.04 % (3893875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/5.04 % (3893875)CaDiCaL version: 2.1.3
% 5.63/5.04 % (3893875)Termination reason: Instruction limit
% 5.63/5.04 % (3893875)Termination phase: shuffling
% 5.63/5.04 % (3893875)Time elapsed: 0.019 s
% 5.63/5.04 % (3893875)Peak memory usage: 25 MB
% 5.63/5.04 % (3893875)Instructions burned: 19 (million)
% 5.63/5.04 % (3893878)Instruction limit reached!
% 5.63/5.04 % (3893878)------------------------------
% 5.63/5.04 % (3893878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/5.04 % (3893878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/5.04 % (3893878)CaDiCaL version: 2.1.3
% 5.63/5.04 % (3893878)Termination reason: Instruction limit
% 5.63/5.04 % (3893878)Termination phase: shuffling
% 5.63/5.04 % (3893878)Time elapsed: 0.021 s
% 5.63/5.04 % (3893878)Peak memory usage: 25 MB
% 5.63/5.04 % (3893878)Instructions burned: 25 (million)
% 5.63/5.04 % (3893888)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2026329273:i=2:hud=10:rtra=on_2997 on theBenchmark for (2997ds/2Mi)
% 5.63/5.04 % (3893888)Instruction limit reached!
% 5.63/5.04 % (3893888)------------------------------
% 5.63/5.04 % (3893888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/5.04 % (3893888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/5.04 % (3893888)CaDiCaL version: 2.1.3
% 5.63/5.04 % (3893888)Termination reason: Instruction limit
% 5.63/5.04 % (3893888)Termination phase: shuffling
% 5.63/5.04 % (3893888)Time elapsed: 0.003 s
% 5.63/5.04 % (3893888)Peak memory usage: 23 MB
% 5.63/5.04 % (3893888)Instructions burned: 2 (million)
% 5.63/5.04 % (3893890)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 5.63/5.10 % (3893889)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=290539198:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/5Mi)
% 5.63/5.10 % (3893890)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2467587430:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 5.63/5.10 % (3893879)Instruction limit reached!
% 5.63/5.10 % (3893879)------------------------------
% 5.63/5.10 % (3893879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/5.10 % (3893879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/5.10 % (3893879)CaDiCaL version: 2.1.3
% 5.63/5.10 % (3893879)Termination reason: Instruction limit
% 5.63/5.10 % (3893879)Termination phase: shuffling
% 5.63/5.10 % (3893879)Time elapsed: 0.044 s
% 5.63/5.10 % (3893879)Peak memory usage: 25 MB
% 5.63/5.10 % (3893879)Instructions burned: 77 (million)
% 5.63/5.10 % (3893874)Instruction limit reached!
% 5.63/5.10 % (3893874)------------------------------
% 5.63/5.10 % (3893874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/5.10 % (3893874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/5.10 % (3893874)CaDiCaL version: 2.1.3
% 5.63/5.10 % (3893874)Termination reason: Instruction limit
% 5.63/5.10 % (3893874)Termination phase: shuffling
% 5.63/5.10 % (3893874)Time elapsed: 0.048 s
% 5.63/5.10 % (3893874)Peak memory usage: 25 MB
% 5.63/5.10 % (3893874)Instructions burned: 87 (million)
% 5.63/5.10 % (3893889)Instruction limit reached!
% 5.63/5.10 % (3893889)------------------------------
% 5.63/5.10 % (3893889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/5.10 % (3893889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/5.10 % (3893889)CaDiCaL version: 2.1.3
% 5.63/5.10 % (3893889)Termination reason: Instruction limit
% 5.63/5.10 % (3893889)Termination phase: shuffling
% 5.63/5.10 % (3893889)Time elapsed: 0.008 s
% 5.63/5.10 % (3893889)Peak memory usage: 23 MB
% 5.63/5.10 % (3893889)Instructions burned: 5 (million)
% 5.63/5.10 % (3893892)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=354691669:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/12Mi)
% 5.63/5.10 % (3893890)Instruction limit reached!
% 5.63/5.10 % (3893890)------------------------------
% 5.63/5.10 % (3893890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/5.10 % (3893890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/5.10 % (3893890)CaDiCaL version: 2.1.3
% 5.63/5.10 % (3893890)Termination reason: Instruction limit
% 5.63/5.10 % (3893890)Termination phase: shuffling
% 5.63/5.10 % (3893890)Time elapsed: 0.012 s
% 5.63/5.10 % (3893890)Peak memory usage: 24 MB
% 5.63/5.10 % (3893890)Instructions burned: 7 (million)
% 5.63/5.10 % (3893895)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.63/5.10 % (3893895)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 5.63/5.10 % (3893895)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=515542417:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2996 on theBenchmark for (2996ds/28Mi)
% 5.63/5.10 % (3893892)Instruction limit reached!
% 5.63/5.10 % (3893892)------------------------------
% 5.63/5.10 % (3893892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/5.10 % (3893892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/5.10 % (3893892)CaDiCaL version: 2.1.3
% 5.63/5.10 % (3893892)Termination reason: Instruction limit
% 5.63/5.10 % (3893892)Termination phase: shuffling
% 5.63/5.10 % (3893892)Time elapsed: 0.016 s
% 5.63/5.10 % (3893892)Peak memory usage: 24 MB
% 5.63/5.10 % (3893892)Instructions burned: 12 (million)
% 5.63/5.10 % (3893896)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3340458552:i=86:piset=equals:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/86Mi)
% 5.63/5.10 % (3893898)lrs+10_1_si=on:cs=on:random_seed=3505344468:i=8:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/8Mi)
% 5.63/5.10 % (3893899)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 6.32/5.13 % (3893899)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=877599494:i=2:add=on:rtra=on_2996 on theBenchmark for (2996ds/2Mi)
% 6.32/5.13 % (3893899)Instruction limit reached!
% 6.32/5.13 % (3893899)------------------------------
% 6.32/5.13 % (3893899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.13 % (3893899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.13 % (3893899)CaDiCaL version: 2.1.3
% 6.32/5.13 % (3893899)Termination reason: Instruction limit
% 6.32/5.13 % (3893899)Termination phase: shuffling
% 6.32/5.13 % (3893899)Time elapsed: 0.003 s
% 6.32/5.13 % (3893899)Peak memory usage: 23 MB
% 6.32/5.13 % (3893899)Instructions burned: 2 (million)
% 6.32/5.13 % (3893880)Instruction limit reached!
% 6.32/5.13 % (3893880)------------------------------
% 6.32/5.13 % (3893880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.13 % (3893880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.13 % (3893880)CaDiCaL version: 2.1.3
% 6.32/5.13 % (3893880)Termination reason: Instruction limit
% 6.32/5.13 % (3893880)Termination phase: shuffling
% 6.32/5.13 % (3893880)Time elapsed: 0.080 s
% 6.32/5.13 % (3893880)Peak memory usage: 27 MB
% 6.32/5.13 % (3893880)Instructions burned: 157 (million)
% 6.32/5.13 % (3893898)Instruction limit reached!
% 6.32/5.13 % (3893898)------------------------------
% 6.32/5.13 % (3893898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.13 % (3893898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.13 % (3893898)CaDiCaL version: 2.1.3
% 6.32/5.13 % (3893898)Termination reason: Instruction limit
% 6.32/5.13 % (3893898)Termination phase: shuffling
% 6.32/5.13 % (3893898)Time elapsed: 0.012 s
% 6.32/5.13 % (3893898)Peak memory usage: 24 MB
% 6.32/5.13 % (3893898)Instructions burned: 8 (million)
% 6.32/5.13 % (3893895)Instruction limit reached!
% 6.32/5.13 % (3893895)------------------------------
% 6.32/5.13 % (3893895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.13 % (3893895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.13 % (3893895)CaDiCaL version: 2.1.3
% 6.32/5.13 % (3893895)Termination reason: Instruction limit
% 6.32/5.13 % (3893895)Termination phase: shuffling
% 6.32/5.13 % (3893895)Time elapsed: 0.022 s
% 6.32/5.13 % (3893895)Peak memory usage: 25 MB
% 6.32/5.13 % (3893895)Instructions burned: 30 (million)
% 6.32/5.13 % (3893901)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1773316664:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/38Mi)
% 6.32/5.13 % (3893905)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1062516659:st=2:i=249:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/249Mi)
% 6.32/5.13 % (3893909)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3760192249:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/327Mi)
% 6.32/5.13 % (3893906)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2262594268:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/25Mi)
% 6.32/5.13 % (3893907)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3772481080:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2996 on theBenchmark for (2996ds/14Mi)
% 6.32/5.13 % (3893901)Instruction limit reached!
% 6.32/5.13 % (3893901)------------------------------
% 6.32/5.13 % (3893901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.13 % (3893901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.13 % (3893901)CaDiCaL version: 2.1.3
% 6.32/5.13 % (3893901)Termination reason: Instruction limit
% 6.32/5.13 % (3893901)Termination phase: shuffling
% 6.32/5.13 % (3893901)Time elapsed: 0.029 s
% 6.32/5.13 % (3893901)Peak memory usage: 25 MB
% 6.32/5.13 % (3893901)Instructions burned: 39 (million)
% 6.32/5.13 % (3893896)Instruction limit reached!
% 6.32/5.13 % (3893896)------------------------------
% 6.32/5.13 % (3893896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.13 % (3893896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.13 % (3893896)CaDiCaL version: 2.1.3
% 6.32/5.18 % (3893896)Termination reason: Instruction limit
% 6.32/5.18 % (3893896)Termination phase: shuffling
% 6.32/5.18 % (3893896)Time elapsed: 0.050 s
% 6.32/5.18 % (3893896)Peak memory usage: 26 MB
% 6.32/5.18 % (3893896)Instructions burned: 88 (million)
% 6.32/5.18 % (3893907)Instruction limit reached!
% 6.32/5.18 % (3893907)------------------------------
% 6.32/5.18 % (3893907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.18 % (3893907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.18 % (3893907)CaDiCaL version: 2.1.3
% 6.32/5.18 % (3893907)Termination reason: Instruction limit
% 6.32/5.18 % (3893907)Termination phase: shuffling
% 6.32/5.18 % (3893907)Time elapsed: 0.017 s
% 6.32/5.18 % (3893907)Peak memory usage: 24 MB
% 6.32/5.18 % (3893907)Instructions burned: 14 (million)
% 6.32/5.18 % (3893906)Instruction limit reached!
% 6.32/5.18 % (3893906)------------------------------
% 6.32/5.18 % (3893906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.18 % (3893906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.18 % (3893906)CaDiCaL version: 2.1.3
% 6.32/5.18 % (3893906)Termination reason: Instruction limit
% 6.32/5.18 % (3893906)Termination phase: shuffling
% 6.32/5.18 % (3893906)Time elapsed: 0.022 s
% 6.32/5.18 % (3893906)Peak memory usage: 25 MB
% 6.32/5.18 % (3893906)Instructions burned: 26 (million)
% 6.32/5.18 % (3893915)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4163770012:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2996 on theBenchmark for (2996ds/2Mi)
% 6.32/5.18 % (3893917)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1923848240:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/23Mi)
% 6.32/5.18 % (3893916)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2425496147:i=26:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/26Mi)
% 6.32/5.18 % (3893914)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1642670864:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/14Mi)
% 6.32/5.18 % (3893915)Instruction limit reached!
% 6.32/5.18 % (3893915)------------------------------
% 6.32/5.18 % (3893915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.18 % (3893915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.18 % (3893915)CaDiCaL version: 2.1.3
% 6.32/5.18 % (3893915)Termination reason: Instruction limit
% 6.32/5.18 % (3893915)Termination phase: shuffling
% 6.32/5.18 % (3893915)Time elapsed: 0.003 s
% 6.32/5.18 % (3893915)Peak memory usage: 23 MB
% 6.32/5.18 % (3893915)Instructions burned: 2 (million)
% 6.32/5.18 % (3893914)Instruction limit reached!
% 6.32/5.18 % (3893914)------------------------------
% 6.32/5.18 % (3893914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.18 % (3893914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.18 % (3893914)CaDiCaL version: 2.1.3
% 6.32/5.18 % (3893914)Termination reason: Instruction limit
% 6.32/5.18 % (3893914)Termination phase: shuffling
% 6.32/5.18 % (3893914)Time elapsed: 0.017 s
% 6.32/5.18 % (3893914)Peak memory usage: 24 MB
% 6.32/5.18 % (3893914)Instructions burned: 16 (million)
% 6.32/5.18 % (3893917)Instruction limit reached!
% 6.32/5.18 % (3893917)------------------------------
% 6.32/5.18 % (3893917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.18 % (3893917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.18 % (3893917)CaDiCaL version: 2.1.3
% 6.32/5.18 % (3893917)Termination reason: Instruction limit
% 6.32/5.18 % (3893917)Termination phase: shuffling
% 6.32/5.18 % (3893917)Time elapsed: 0.021 s
% 6.32/5.18 % (3893917)Peak memory usage: 25 MB
% 6.32/5.18 % (3893917)Instructions burned: 24 (million)
% 6.32/5.18 % (3893916)Instruction limit reached!
% 6.32/5.18 % (3893916)------------------------------
% 6.32/5.18 % (3893916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/5.18 % (3893916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/5.18 % (3893916)CaDiCaL version: 2.1.3
% 6.32/5.18 % (3893916)Termination reason: Instruction limit
% 6.32/5.18 % (3893916)Termination phase: shuffling
% 6.32/5.18 % (3893916)Time elapsed: 0.022 s
% 6.32/5.18 % (3893916)Peak memory usage: 24 MB
% 6.32/5.18 % (3893916)Instructions burned: 27 (million)
% 6.32/5.18 % (3893922)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1493840549:cond=on:i=60:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/60Mi)
% 6.64/5.24 % (3893909)Instruction limit reached!
% 6.64/5.24 % (3893909)------------------------------
% 6.64/5.24 % (3893909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/5.24 % (3893909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/5.24 % (3893909)CaDiCaL version: 2.1.3
% 6.64/5.24 % (3893909)Termination reason: Instruction limit
% 6.64/5.24 % (3893909)Termination phase: shuffling
% 6.64/5.24 % (3893909)Time elapsed: 0.086 s
% 6.64/5.24 % (3893909)Peak memory usage: 30 MB
% 6.64/5.24 % (3893909)Instructions burned: 328 (million)
% 6.64/5.24 % (3893923)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 6.64/5.24 % (3893923)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 6.64/5.24 % (3893924)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 6.64/5.24 % (3893923)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2581962105:i=14:add=off:nm=40:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/14Mi)
% 6.64/5.24 % (3893924)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=784993109:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2995 on theBenchmark for (2995ds/8Mi)
% 6.64/5.24 % (3893927)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2661478328:i=7:hud=5:bd=preordered:rtra=on:bet=on_2995 on theBenchmark for (2995ds/7Mi)
% 6.64/5.24 % (3893926)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3117150793:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2995 on theBenchmark for (2995ds/31Mi)
% 6.64/5.24 % (3893927)Instruction limit reached!
% 6.64/5.24 % (3893927)------------------------------
% 6.64/5.24 % (3893927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/5.24 % (3893927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/5.24 % (3893927)CaDiCaL version: 2.1.3
% 6.64/5.24 % (3893927)Termination reason: Instruction limit
% 6.64/5.24 % (3893927)Termination phase: shuffling
% 6.64/5.24 % (3893927)Time elapsed: 0.007 s
% 6.64/5.24 % (3893927)Peak memory usage: 24 MB
% 6.64/5.24 % (3893927)Instructions burned: 8 (million)
% 6.64/5.24 % (3893924)Instruction limit reached!
% 6.64/5.24 % (3893924)------------------------------
% 6.64/5.24 % (3893924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/5.24 % (3893924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/5.24 % (3893924)CaDiCaL version: 2.1.3
% 6.64/5.24 % (3893924)Termination reason: Instruction limit
% 6.64/5.24 % (3893924)Termination phase: shuffling
% 6.64/5.24 % (3893924)Time elapsed: 0.012 s
% 6.64/5.24 % (3893924)Peak memory usage: 24 MB
% 6.64/5.24 % (3893924)Instructions burned: 8 (million)
% 6.64/5.24 % (3893923)Instruction limit reached!
% 6.64/5.24 % (3893923)------------------------------
% 6.64/5.24 % (3893923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/5.24 % (3893923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/5.24 % (3893923)CaDiCaL version: 2.1.3
% 6.64/5.24 % (3893923)Termination reason: Instruction limit
% 6.64/5.24 % (3893923)Termination phase: shuffling
% 6.64/5.24 % (3893923)Time elapsed: 0.017 s
% 6.64/5.24 % (3893923)Peak memory usage: 24 MB
% 6.64/5.24 % (3893923)Instructions burned: 15 (million)
% 6.64/5.24 % (3893922)Instruction limit reached!
% 6.64/5.24 % (3893922)------------------------------
% 6.64/5.24 % (3893922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/5.24 % (3893922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/5.24 % (3893922)CaDiCaL version: 2.1.3
% 6.64/5.24 % (3893922)Termination reason: Instruction limit
% 6.64/5.24 % (3893922)Termination phase: shuffling
% 6.64/5.24 % (3893922)Time elapsed: 0.037 s
% 6.64/5.24 % (3893922)Peak memory usage: 25 MB
% 6.64/5.24 % (3893922)Instructions burned: 60 (million)
% 7.23/5.31 % (3893932)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3437791579:i=23:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/23Mi)
% 7.23/5.31 % (3893905)Instruction limit reached!
% 7.23/5.31 % (3893905)------------------------------
% 7.23/5.31 % (3893905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.23/5.31 % (3893905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/5.31 % (3893905)CaDiCaL version: 2.1.3
% 7.23/5.31 % (3893905)Termination reason: Instruction limit
% 7.23/5.31 % (3893905)Termination phase: shuffling
% 7.23/5.31 % (3893905)Time elapsed: 0.123 s
% 7.23/5.31 % (3893905)Peak memory usage: 28 MB
% 7.23/5.31 % (3893905)Instructions burned: 251 (million)
% 7.23/5.31 % (3893926)Instruction limit reached!
% 7.23/5.31 % (3893926)------------------------------
% 7.23/5.31 % (3893926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.23/5.31 % (3893926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/5.31 % (3893926)CaDiCaL version: 2.1.3
% 7.23/5.31 % (3893926)Termination reason: Instruction limit
% 7.23/5.31 % (3893926)Termination phase: shuffling
% 7.23/5.31 % (3893926)Time elapsed: 0.025 s
% 7.23/5.31 % (3893926)Peak memory usage: 25 MB
% 7.23/5.31 % (3893926)Instructions burned: 31 (million)
% 7.23/5.31 % (3893933)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2723094963:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/20Mi)
% 7.23/5.31 % (3893932)Instruction limit reached!
% 7.23/5.31 % (3893932)------------------------------
% 7.23/5.31 % (3893932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.23/5.31 % (3893932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/5.31 % (3893932)CaDiCaL version: 2.1.3
% 7.23/5.31 % (3893934)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1523948869:i=1240:rtra=on:ixr=off_2995 on theBenchmark for (2995ds/1240Mi)
% 7.23/5.31 % (3893932)Termination reason: Instruction limit
% 7.23/5.31 % (3893932)Termination phase: shuffling
% 7.23/5.31 % (3893932)Time elapsed: 0.013 s
% 7.23/5.31 % (3893932)Peak memory usage: 25 MB
% 7.23/5.31 % (3893932)Instructions burned: 25 (million)
% 7.23/5.31 % (3893935)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=214472064:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/143Mi)
% 7.23/5.31 % (3893941)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 7.23/5.31 % (3893941)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2316897688:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2995 on theBenchmark for (2995ds/7Mi)
% 7.23/5.31 % (3893937)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3937304462:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/193Mi)
% 7.23/5.31 % (3893938)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2619443667:i=42:hud=10:rtra=on_2995 on theBenchmark for (2995ds/42Mi)
% 7.23/5.31 % (3893933)Instruction limit reached!
% 7.23/5.31 % (3893933)------------------------------
% 7.23/5.31 % (3893933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.23/5.31 % (3893933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/5.31 % (3893933)CaDiCaL version: 2.1.3
% 7.23/5.31 % (3893933)Termination reason: Instruction limit
% 7.23/5.31 % (3893933)Termination phase: shuffling
% 7.23/5.31 % (3893933)Time elapsed: 0.020 s
% 7.23/5.31 % (3893933)Peak memory usage: 25 MB
% 7.23/5.31 % (3893933)Instructions burned: 21 (million)
% 7.23/5.31 % (3893941)Instruction limit reached!
% 7.23/5.31 % (3893941)------------------------------
% 7.23/5.31 % (3893941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.23/5.31 % (3893941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/5.31 % (3893941)CaDiCaL version: 2.1.3
% 7.23/5.31 % (3893941)Termination reason: Instruction limit
% 7.23/5.31 % (3893941)Termination phase: shuffling
% 7.23/5.31 % (3893941)Time elapsed: 0.007 s
% 7.23/5.31 % (3893941)Peak memory usage: 24 MB
% 7.23/5.31 % (3893941)Instructions burned: 7 (million)
% 7.23/5.31 % (3893947)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2903007475:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2994 on theBenchmark for (2994ds/169Mi)
% 7.56/5.40 % (3893946)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2613273363:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/181Mi)
% 7.56/5.40 % (3893938)Instruction limit reached!
% 7.56/5.40 % (3893938)------------------------------
% 7.56/5.40 % (3893938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/5.40 % (3893938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/5.40 % (3893938)CaDiCaL version: 2.1.3
% 7.56/5.40 % (3893938)Termination reason: Instruction limit
% 7.56/5.40 % (3893938)Termination phase: shuffling
% 7.56/5.40 % (3893938)Time elapsed: 0.030 s
% 7.56/5.40 % (3893938)Peak memory usage: 25 MB
% 7.56/5.40 % (3893938)Instructions burned: 43 (million)
% 7.56/5.40 % (3893877)Instruction limit reached!
% 7.56/5.40 % (3893877)------------------------------
% 7.56/5.40 % (3893877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/5.40 % (3893877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/5.40 % (3893877)CaDiCaL version: 2.1.3
% 7.56/5.40 % (3893877)Termination reason: Instruction limit
% 7.56/5.40 % (3893877)Termination phase: shuffling
% 7.56/5.40 % (3893877)Time elapsed: 0.283 s
% 7.56/5.40 % (3893877)Peak memory usage: 27 MB
% 7.56/5.40 % (3893877)Instructions burned: 634 (million)
% 7.56/5.40 % (3893950)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 7.56/5.40 % (3893950)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=134337881:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2994 on theBenchmark for (2994ds/6Mi)
% 7.56/5.40 % (3893951)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=80147404:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 7.56/5.40 % (3893950)Instruction limit reached!
% 7.56/5.40 % (3893950)------------------------------
% 7.56/5.40 % (3893950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/5.40 % (3893950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/5.40 % (3893950)CaDiCaL version: 2.1.3
% 7.56/5.40 % (3893950)Termination reason: Instruction limit
% 7.56/5.40 % (3893950)Termination phase: shuffling
% 7.56/5.40 % (3893950)Time elapsed: 0.011 s
% 7.56/5.40 % (3893950)Peak memory usage: 23 MB
% 7.56/5.40 % (3893950)Instructions burned: 6 (million)
% 7.56/5.40 % (3893935)Instruction limit reached!
% 7.56/5.40 % (3893935)------------------------------
% 7.56/5.40 % (3893935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/5.40 % (3893935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/5.40 % (3893935)CaDiCaL version: 2.1.3
% 7.56/5.40 % (3893935)Termination reason: Instruction limit
% 7.56/5.40 % (3893935)Termination phase: shuffling
% 7.56/5.40 % (3893935)Time elapsed: 0.075 s
% 7.56/5.40 % (3893935)Peak memory usage: 27 MB
% 7.56/5.40 % (3893935)Instructions burned: 143 (million)
% 7.56/5.40 % (3893947)Instruction limit reached!
% 7.56/5.40 % (3893947)------------------------------
% 7.56/5.40 % (3893947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/5.40 % (3893947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/5.40 % (3893947)CaDiCaL version: 2.1.3
% 7.56/5.40 % (3893947)Termination reason: Instruction limit
% 7.56/5.40 % (3893947)Termination phase: shuffling
% 7.56/5.40 % (3893947)Time elapsed: 0.049 s
% 7.56/5.40 % (3893947)Peak memory usage: 27 MB
% 7.56/5.40 % (3893947)Instructions burned: 170 (million)
% 7.56/5.40 % (3893955)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1210594111:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/316Mi)
% 7.56/5.40 % (3893951)Instruction limit reached!
% 7.56/5.40 % (3893951)------------------------------
% 7.56/5.40 % (3893951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/5.40 % (3893951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/5.40 % (3893951)CaDiCaL version: 2.1.3
% 7.56/5.40 % (3893951)Termination reason: Instruction limit
% 7.56/5.40 % (3893951)Termination phase: shuffling
% 7.56/5.40 % (3893951)Time elapsed: 0.021 s
% 7.94/5.50 % (3893951)Peak memory usage: 25 MB
% 7.94/5.50 % (3893951)Instructions burned: 23 (million)
% 7.94/5.50 % (3893954)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2821899918:i=19:add=on:rtra=on_2994 on theBenchmark for (2994ds/19Mi)
% 7.94/5.50 % (3893956)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=4290205624:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2994 on theBenchmark for (2994ds/853Mi)
% 7.94/5.50 % (3893937)Instruction limit reached!
% 7.94/5.50 % (3893937)------------------------------
% 7.94/5.50 % (3893937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/5.50 % (3893937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/5.50 % (3893937)CaDiCaL version: 2.1.3
% 7.94/5.50 % (3893937)Termination reason: Instruction limit
% 7.94/5.50 % (3893937)Termination phase: shuffling
% 7.94/5.50 % (3893937)Time elapsed: 0.097 s
% 7.94/5.50 % (3893937)Peak memory usage: 28 MB
% 7.94/5.50 % (3893937)Instructions burned: 193 (million)
% 7.94/5.50 % (3893954)Instruction limit reached!
% 7.94/5.50 % (3893954)------------------------------
% 7.94/5.50 % (3893954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/5.50 % (3893954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/5.50 % (3893954)CaDiCaL version: 2.1.3
% 7.94/5.50 % (3893954)Termination reason: Instruction limit
% 7.94/5.50 % (3893954)Termination phase: shuffling
% 7.94/5.50 % (3893954)Time elapsed: 0.019 s
% 7.94/5.50 % (3893954)Peak memory usage: 24 MB
% 7.94/5.50 % (3893954)Instructions burned: 21 (million)
% 7.94/5.50 % (3893959)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=341727093:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2994 on theBenchmark for (2994ds/45Mi)
% 7.94/5.50 % (3893961)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1582096402:i=480:rtra=on_2993 on theBenchmark for (2993ds/480Mi)
% 7.94/5.50 % (3893946)Instruction limit reached!
% 7.94/5.50 % (3893946)------------------------------
% 7.94/5.50 % (3893946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/5.50 % (3893946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/5.50 % (3893946)CaDiCaL version: 2.1.3
% 7.94/5.50 % (3893946)Termination reason: Instruction limit
% 7.94/5.50 % (3893946)Termination phase: shuffling
% 7.94/5.50 % (3893946)Time elapsed: 0.092 s
% 7.94/5.50 % (3893946)Peak memory usage: 28 MB
% 7.94/5.50 % (3893946)Instructions burned: 183 (million)
% 7.94/5.50 % (3893963)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1727749450:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2993 on theBenchmark for (2993ds/21Mi)
% 7.94/5.50 % (3893959)Instruction limit reached!
% 7.94/5.50 % (3893959)------------------------------
% 7.94/5.50 % (3893959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/5.50 % (3893959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/5.50 % (3893959)CaDiCaL version: 2.1.3
% 7.94/5.50 % (3893959)Termination reason: Instruction limit
% 7.94/5.50 % (3893959)Termination phase: Property scanning
% 7.94/5.50 % (3893959)Time elapsed: 0.030 s
% 7.94/5.50 % (3893959)Peak memory usage: 24 MB
% 7.94/5.50 % (3893959)Instructions burned: 47 (million)
% 7.94/5.50 % (3893965)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 7.94/5.50 % (3893965)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1749745292:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/200Mi)
% 7.94/5.50 % (3893963)Instruction limit reached!
% 7.94/5.50 % (3893963)------------------------------
% 7.94/5.50 % (3893963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.94/5.50 % (3893963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/5.50 % (3893963)CaDiCaL version: 2.1.3
% 7.94/5.50 % (3893963)Termination reason: Instruction limit
% 7.94/5.50 % (3893963)Termination phase: shuffling
% 7.94/5.50 % (3893963)Time elapsed: 0.021 s
% 7.94/5.50 % (3893963)Peak memory usage: 25 MB
% 8.51/5.69 % (3893963)Instructions burned: 22 (million)
% 8.51/5.69 % (3893967)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3939208635:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2993 on theBenchmark for (2993ds/13Mi)
% 8.51/5.69 % (3893955)Instruction limit reached!
% 8.51/5.69 % (3893955)------------------------------
% 8.51/5.69 % (3893955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/5.69 % (3893955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/5.69 % (3893955)CaDiCaL version: 2.1.3
% 8.51/5.69 % (3893955)Termination reason: Instruction limit
% 8.51/5.69 % (3893955)Termination phase: shuffling
% 8.51/5.69 % (3893955)Time elapsed: 0.086 s
% 8.51/5.69 % (3893955)Peak memory usage: 31 MB
% 8.51/5.69 % (3893955)Instructions burned: 317 (million)
% 8.51/5.69 % (3893969)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1401530752:i=66:s2at=3:nm=2:rtra=on:rawr=on_2993 on theBenchmark for (2993ds/66Mi)
% 8.51/5.69 % (3893967)Instruction limit reached!
% 8.51/5.69 % (3893967)------------------------------
% 8.51/5.69 % (3893967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/5.69 % (3893967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/5.69 % (3893967)CaDiCaL version: 2.1.3
% 8.51/5.69 % (3893967)Termination reason: Instruction limit
% 8.51/5.69 % (3893967)Termination phase: shuffling
% 8.51/5.69 % (3893967)Time elapsed: 0.016 s
% 8.51/5.69 % (3893967)Peak memory usage: 24 MB
% 8.51/5.69 % (3893967)Instructions burned: 13 (million)
% 8.51/5.69 % (3893972)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=556649790:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 8.51/5.69 % (3893973)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2555124887:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 8.51/5.69 % (3893972)Instruction limit reached!
% 8.51/5.69 % (3893972)------------------------------
% 8.51/5.69 % (3893972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/5.69 % (3893972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/5.69 % (3893972)CaDiCaL version: 2.1.3
% 8.51/5.69 % (3893972)Termination reason: Instruction limit
% 8.51/5.69 % (3893972)Termination phase: shuffling
% 8.51/5.69 % (3893972)Time elapsed: 0.019 s
% 8.51/5.69 % (3893972)Peak memory usage: 25 MB
% 8.51/5.69 % (3893972)Instructions burned: 53 (million)
% 8.51/5.69 % (3893969)Instruction limit reached!
% 8.51/5.69 % (3893969)------------------------------
% 8.51/5.69 % (3893969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/5.69 % (3893969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/5.69 % (3893969)CaDiCaL version: 2.1.3
% 8.51/5.69 % (3893969)Termination reason: Instruction limit
% 8.51/5.69 % (3893969)Termination phase: shuffling
% 8.51/5.69 % (3893969)Time elapsed: 0.041 s
% 8.51/5.69 % (3893969)Peak memory usage: 26 MB
% 8.51/5.69 % (3893969)Instructions burned: 66 (million)
% 8.51/5.69 % (3893976)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2486779533:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2992 on theBenchmark for (2992ds/137Mi)
% 8.51/5.69 % (3893973)Instruction limit reached!
% 8.51/5.69 % (3893973)------------------------------
% 8.51/5.69 % (3893973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/5.69 % (3893973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/5.69 % (3893973)CaDiCaL version: 2.1.3
% 8.51/5.69 % (3893973)Termination reason: Instruction limit
% 8.51/5.69 % (3893973)Termination phase: shuffling
% 8.51/5.69 % (3893973)Time elapsed: 0.024 s
% 8.51/5.69 % (3893973)Peak memory usage: 25 MB
% 8.51/5.69 % (3893973)Instructions burned: 31 (million)
% 8.51/5.69 % (3893978)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1214447291:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 8.51/5.69 % (3893979)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3396453871:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 8.51/5.69 % (3893965)Instruction limit reached!
% 8.51/5.69 % (3893965)------------------------------
% 8.51/5.69 % (3893965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/5.78 % (3893965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/5.78 % (3893965)CaDiCaL version: 2.1.3
% 9.14/5.78 % (3893965)Termination reason: Instruction limit
% 9.14/5.78 % (3893965)Termination phase: shuffling
% 9.14/5.78 % (3893965)Time elapsed: 0.101 s
% 9.14/5.78 % (3893965)Peak memory usage: 27 MB
% 9.14/5.78 % (3893965)Instructions burned: 200 (million)
% 9.14/5.78 % (3893976)Instruction limit reached!
% 9.14/5.78 % (3893976)------------------------------
% 9.14/5.78 % (3893976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/5.78 % (3893976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/5.78 % (3893976)CaDiCaL version: 2.1.3
% 9.14/5.78 % (3893976)Termination reason: Instruction limit
% 9.14/5.78 % (3893976)Termination phase: shuffling
% 9.14/5.78 % (3893976)Time elapsed: 0.041 s
% 9.14/5.78 % (3893976)Peak memory usage: 27 MB
% 9.14/5.78 % (3893976)Instructions burned: 139 (million)
% 9.14/5.78 % (3893978)Instruction limit reached!
% 9.14/5.78 % (3893978)------------------------------
% 9.14/5.78 % (3893978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/5.79 % (3893978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/5.79 % (3893978)CaDiCaL version: 2.1.3
% 9.14/5.79 % (3893978)Termination reason: Instruction limit
% 9.14/5.79 % (3893978)Termination phase: shuffling
% 9.14/5.79 % (3893978)Time elapsed: 0.027 s
% 9.14/5.79 % (3893978)Peak memory usage: 25 MB
% 9.14/5.79 % (3893978)Instructions burned: 36 (million)
% 9.14/5.79 % (3893982)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 9.14/5.79 % (3893982)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=472960519:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 9.14/5.79 % (3893983)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2143797829:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 9.14/5.79 % (3893979)Instruction limit reached!
% 9.14/5.79 % (3893979)------------------------------
% 9.14/5.79 % (3893979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/5.79 % (3893984)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2789065934:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 9.14/5.79 % (3893979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/5.79 % (3893979)CaDiCaL version: 2.1.3
% 9.14/5.79 % (3893979)Termination reason: Instruction limit
% 9.14/5.79 % (3893979)Termination phase: shuffling
% 9.14/5.79 % (3893979)Time elapsed: 0.041 s
% 9.14/5.79 % (3893979)Peak memory usage: 25 MB
% 9.14/5.79 % (3893979)Instructions burned: 69 (million)
% 9.14/5.79 % (3893988)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3864738439:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 9.14/5.79 % (3893983)Instruction limit reached!
% 9.14/5.79 % (3893983)------------------------------
% 9.14/5.79 % (3893983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/5.79 % (3893983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/5.79 % (3893983)CaDiCaL version: 2.1.3
% 9.14/5.79 % (3893983)Termination reason: Instruction limit
% 9.14/5.79 % (3893983)Termination phase: shuffling
% 9.14/5.79 % (3893983)Time elapsed: 0.067 s
% 9.14/5.79 % (3893983)Peak memory usage: 28 MB
% 9.14/5.79 % (3893983)Instructions burned: 249 (million)
% 9.14/5.79 % (3893984)Instruction limit reached!
% 9.14/5.79 % (3893984)------------------------------
% 9.14/5.79 % (3893984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/5.79 % (3893984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/5.79 % (3893984)CaDiCaL version: 2.1.3
% 9.14/5.79 % (3893984)Termination reason: Instruction limit
% 9.14/5.79 % (3893984)Termination phase: shuffling
% 9.14/5.79 % (3893984)Time elapsed: 0.055 s
% 9.14/5.79 % (3893984)Peak memory usage: 27 MB
% 9.14/5.79 % (3893984)Instructions burned: 97 (million)
% 9.14/5.79 % (3893961)Instruction limit reached!
% 9.14/5.79 % (3893961)------------------------------
% 9.14/5.79 % (3893961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/5.79 % (3893961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/5.79 % (3893961)CaDiCaL version: 2.1.3
% 9.14/5.79 % (3893961)Termination reason: Instruction limit
% 10.48/5.88 % (3893961)Termination phase: shuffling
% 10.48/5.88 % (3893961)Time elapsed: 0.223 s
% 10.48/5.88 % (3893961)Peak memory usage: 32 MB
% 10.48/5.88 % (3893961)Instructions burned: 480 (million)
% 10.48/5.88 % (3893990)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4030775931:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/874Mi)
% 10.48/5.88 % (3893982)Instruction limit reached!
% 10.48/5.88 % (3893982)------------------------------
% 10.48/5.88 % (3893982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/5.88 % (3893982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/5.88 % (3893982)CaDiCaL version: 2.1.3
% 10.48/5.88 % (3893982)Termination reason: Instruction limit
% 10.48/5.88 % (3893982)Termination phase: shuffling
% 10.48/5.88 % (3893982)Time elapsed: 0.091 s
% 10.48/5.88 % (3893982)Peak memory usage: 28 MB
% 10.48/5.88 % (3893982)Instructions burned: 181 (million)
% 10.48/5.88 % (3893991)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=233112060:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/515Mi)
% 10.48/5.88 % (3893992)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1577111149:st=1.5:i=130:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 10.48/5.88 % (3893994)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2738391767:i=44:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/44Mi)
% 10.48/5.88 % (3893994)Instruction limit reached!
% 10.48/5.88 % (3893994)------------------------------
% 10.48/5.88 % (3893994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/5.88 % (3893994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/5.88 % (3893994)CaDiCaL version: 2.1.3
% 10.48/5.88 % (3893994)Termination reason: Instruction limit
% 10.48/5.88 % (3893994)Termination phase: shuffling
% 10.48/5.88 % (3893994)Time elapsed: 0.032 s
% 10.48/5.88 % (3893994)Peak memory usage: 26 MB
% 10.48/5.88 % (3893994)Instructions burned: 45 (million)
% 10.48/5.88 % (3893998)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1281180876:s2a=on:i=571:nm=16:rtra=on_2990 on theBenchmark for (2990ds/571Mi)
% 10.48/5.88 % (3893992)Instruction limit reached!
% 10.48/5.88 % (3893992)------------------------------
% 10.48/5.88 % (3893992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/5.88 % (3893992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/5.88 % (3893992)CaDiCaL version: 2.1.3
% 10.48/5.88 % (3893992)Termination reason: Instruction limit
% 10.48/5.88 % (3893992)Termination phase: shuffling
% 10.48/5.88 % (3893992)Time elapsed: 0.069 s
% 10.48/5.88 % (3893992)Peak memory usage: 27 MB
% 10.48/5.88 % (3893992)Instructions burned: 130 (million)
% 10.48/5.88 % (3894000)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3408363313:i=450:rtra=on:ixr=off:ntd=on_2990 on theBenchmark for (2990ds/450Mi)
% 10.48/5.88 % (3893956)Instruction limit reached!
% 10.48/5.88 % (3893956)------------------------------
% 10.48/5.88 % (3893956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/5.88 % (3893956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/5.88 % (3893956)CaDiCaL version: 2.1.3
% 10.48/5.88 % (3893956)Termination reason: Instruction limit
% 10.48/5.88 % (3893956)Termination phase: shuffling
% 10.48/5.88 % (3893956)Time elapsed: 0.377 s
% 10.48/5.88 % (3893956)Peak memory usage: 30 MB
% 10.48/5.88 % (3893956)Instructions burned: 853 (million)
% 10.48/5.88 % (3894002)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2331667595:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/95Mi)
% 10.48/5.88 % (3893988)Instruction limit reached!
% 10.48/5.88 % (3893988)------------------------------
% 10.48/5.88 % (3893988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/5.88 % (3893988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/5.88 % (3893988)CaDiCaL version: 2.1.3
% 10.48/5.88 % (3893988)Termination reason: Instruction limit
% 10.48/5.88 % (3893988)Termination phase: shuffling
% 10.48/5.88 % (3893988)Time elapsed: 0.201 s
% 10.48/5.88 % (3893988)Peak memory usage: 31 MB
% 10.48/5.88 % (3893988)Instructions burned: 428 (million)
% 10.48/5.88 % (3894004)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=2243691657:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2989 on theBenchmark for (2989ds/65Mi)
% 12.72/6.04 % (3894002)Instruction limit reached!
% 12.72/6.04 % (3894002)------------------------------
% 12.72/6.04 % (3894002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/6.04 % (3894002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/6.04 % (3894002)CaDiCaL version: 2.1.3
% 12.72/6.04 % (3894002)Termination reason: Instruction limit
% 12.72/6.04 % (3894002)Termination phase: shuffling
% 12.72/6.04 % (3894002)Time elapsed: 0.054 s
% 12.72/6.04 % (3894002)Peak memory usage: 27 MB
% 12.72/6.04 % (3894002)Instructions burned: 96 (million)
% 12.72/6.04 % (3893990)Instruction limit reached!
% 12.72/6.04 % (3893990)------------------------------
% 12.72/6.04 % (3893990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/6.04 % (3893990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/6.04 % (3893990)CaDiCaL version: 2.1.3
% 12.72/6.04 % (3893990)Termination reason: Instruction limit
% 12.72/6.04 % (3893990)Termination phase: Property scanning
% 12.72/6.04 % (3893990)Time elapsed: 0.216 s
% 12.72/6.04 % (3893990)Peak memory usage: 34 MB
% 12.72/6.04 % (3893990)Instructions burned: 875 (million)
% 12.72/6.04 % (3893934)Instruction limit reached!
% 12.72/6.04 % (3893934)------------------------------
% 12.72/6.04 % (3893934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/6.04 % (3893934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/6.04 % (3893934)CaDiCaL version: 2.1.3
% 12.72/6.04 % (3893934)Termination reason: Instruction limit
% 12.72/6.04 % (3893934)Termination phase: Property scanning
% 12.72/6.04 % (3893934)Time elapsed: 0.576 s
% 12.72/6.04 % (3893934)Peak memory usage: 48 MB
% 12.72/6.04 % (3893934)Instructions burned: 1240 (million)
% 12.72/6.04 % (3894006)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=299140917:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2989 on theBenchmark for (2989ds/105Mi)
% 12.72/6.04 % (3894004)Instruction limit reached!
% 12.72/6.04 % (3894004)------------------------------
% 12.72/6.04 % (3894004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/6.04 % (3894004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/6.04 % (3894004)CaDiCaL version: 2.1.3
% 12.72/6.04 % (3894004)Termination reason: Instruction limit
% 12.72/6.04 % (3894004)Termination phase: shuffling
% 12.72/6.04 % (3894004)Time elapsed: 0.040 s
% 12.72/6.04 % (3894004)Peak memory usage: 26 MB
% 12.72/6.04 % (3894004)Instructions burned: 65 (million)
% 12.72/6.04 % (3894007)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=514482191:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2989 on theBenchmark for (2989ds/5755Mi)
% 12.72/6.04 % (3894009)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3874216691:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/375Mi)
% 12.72/6.04 % (3894010)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3384842577:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/495Mi)
% 12.72/6.04 % (3893991)Instruction limit reached!
% 12.72/6.04 % (3893991)------------------------------
% 12.72/6.04 % (3893991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/6.04 % (3893991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/6.04 % (3893991)CaDiCaL version: 2.1.3
% 12.72/6.04 % (3893991)Termination reason: Instruction limit
% 12.72/6.04 % (3893991)Termination phase: shuffling
% 12.72/6.04 % (3893991)Time elapsed: 0.243 s
% 12.72/6.04 % (3893991)Peak memory usage: 32 MB
% 12.72/6.04 % (3893991)Instructions burned: 515 (million)
% 12.72/6.04 % (3894006)Instruction limit reached!
% 12.72/6.04 % (3894006)------------------------------
% 12.72/6.04 % (3894006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/6.04 % (3894006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/6.04 % (3894006)CaDiCaL version: 2.1.3
% 12.72/6.04 % (3894006)Termination reason: Instruction limit
% 12.72/6.04 % (3894006)Termination phase: shuffling
% 13.20/6.18 % (3894006)Time elapsed: 0.058 s
% 13.20/6.18 % (3894006)Peak memory usage: 27 MB
% 13.20/6.18 % (3894006)Instructions burned: 106 (million)
% 13.20/6.18 % (3894014)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1490454433:cond=on:i=34:hud=10:nm=10:rtra=on_2988 on theBenchmark for (2988ds/34Mi)
% 13.20/6.18 % (3894015)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2246415122:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/91Mi)
% 13.20/6.18 % (3894014)Instruction limit reached!
% 13.20/6.18 % (3894014)------------------------------
% 13.20/6.18 % (3894014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.20/6.18 % (3894014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.20/6.18 % (3894014)CaDiCaL version: 2.1.3
% 13.20/6.18 % (3894014)Termination reason: Instruction limit
% 13.20/6.18 % (3894014)Termination phase: shuffling
% 13.20/6.18 % (3894014)Time elapsed: 0.026 s
% 13.20/6.18 % (3894014)Peak memory usage: 25 MB
% 13.20/6.18 % (3894014)Instructions burned: 35 (million)
% 13.20/6.18 % (3894000)Instruction limit reached!
% 13.20/6.18 % (3894000)------------------------------
% 13.20/6.18 % (3894000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.20/6.18 % (3894000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.20/6.18 % (3894000)CaDiCaL version: 2.1.3
% 13.20/6.18 % (3894000)Termination reason: Instruction limit
% 13.20/6.18 % (3894000)Termination phase: shuffling
% 13.20/6.18 % (3894000)Time elapsed: 0.212 s
% 13.20/6.18 % (3894000)Peak memory usage: 31 MB
% 13.20/6.18 % (3894000)Instructions burned: 451 (million)
% 13.20/6.18 % (3894018)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=989236294:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2988 on theBenchmark for (2988ds/66Mi)
% 13.20/6.18 % (3894019)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1659242:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2988 on theBenchmark for (2988ds/22Mi)
% 13.20/6.18 % (3893998)Instruction limit reached!
% 13.20/6.18 % (3893998)------------------------------
% 13.20/6.18 % (3893998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.20/6.18 % (3893998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.20/6.18 % (3893998)CaDiCaL version: 2.1.3
% 13.20/6.18 % (3893998)Termination reason: Instruction limit
% 13.20/6.18 % (3893998)Termination phase: shuffling
% 13.20/6.18 % (3893998)Time elapsed: 0.263 s
% 13.20/6.18 % (3893998)Peak memory usage: 33 MB
% 13.20/6.18 % (3893998)Instructions burned: 572 (million)
% 13.20/6.18 % (3894015)Instruction limit reached!
% 13.20/6.18 % (3894015)------------------------------
% 13.20/6.18 % (3894015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.20/6.18 % (3894015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.20/6.18 % (3894015)CaDiCaL version: 2.1.3
% 13.20/6.18 % (3894015)Termination reason: Instruction limit
% 13.20/6.18 % (3894015)Termination phase: shuffling
% 13.20/6.18 % (3894015)Time elapsed: 0.052 s
% 13.20/6.18 % (3894015)Peak memory usage: 25 MB
% 13.20/6.18 % (3894015)Instructions burned: 93 (million)
% 13.20/6.18 % (3894019)Instruction limit reached!
% 13.20/6.18 % (3894019)------------------------------
% 13.20/6.18 % (3894019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.20/6.18 % (3894019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.20/6.18 % (3894019)CaDiCaL version: 2.1.3
% 13.20/6.18 % (3894019)Termination reason: Instruction limit
% 13.20/6.18 % (3894019)Termination phase: shuffling
% 13.20/6.18 % (3894019)Time elapsed: 0.021 s
% 13.20/6.18 % (3894019)Peak memory usage: 25 MB
% 13.20/6.18 % (3894019)Instructions burned: 23 (million)
% 13.20/6.18 % (3894018)Instruction limit reached!
% 13.20/6.18 % (3894018)------------------------------
% 13.20/6.18 % (3894018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.20/6.18 % (3894022)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2855653731:i=338:bd=all:ins=4:rtra=on_2987 on theBenchmark for (2987ds/338Mi)
% 13.20/6.18 % (3894018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.20/6.18 % (3894018)CaDiCaL version: 2.1.3
% 13.20/6.18 % (3894018)Termination reason: Instruction limit
% 13.20/6.18 % (3894018)Termination phase: shuffling
% 14.10/6.32 % (3894018)Time elapsed: 0.041 s
% 14.10/6.32 % (3894018)Peak memory usage: 25 MB
% 14.10/6.32 % (3894018)Instructions burned: 68 (million)
% 14.10/6.32 % (3894023)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2827214821:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/28Mi)
% 14.10/6.32 % (3894024)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 14.10/6.32 % (3894024)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1715163078:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/137Mi)
% 14.10/6.32 % (3894026)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=231604292:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/340Mi)
% 14.10/6.32 % (3894023)Instruction limit reached!
% 14.10/6.32 % (3894023)------------------------------
% 14.10/6.32 % (3894023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.10/6.32 % (3894023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/6.32 % (3894023)CaDiCaL version: 2.1.3
% 14.10/6.32 % (3894023)Termination reason: Instruction limit
% 14.10/6.32 % (3894023)Termination phase: shuffling
% 14.10/6.32 % (3894023)Time elapsed: 0.023 s
% 14.10/6.32 % (3894023)Peak memory usage: 25 MB
% 14.10/6.32 % (3894023)Instructions burned: 30 (million)
% 14.10/6.32 % (3894030)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2759727932:i=227:sd=1:bd=all:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/227Mi)
% 14.10/6.32 % (3894009)Instruction limit reached!
% 14.10/6.32 % (3894009)------------------------------
% 14.10/6.32 % (3894009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.10/6.32 % (3894009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/6.32 % (3894009)CaDiCaL version: 2.1.3
% 14.10/6.32 % (3894009)Termination reason: Instruction limit
% 14.10/6.32 % (3894009)Termination phase: shuffling
% 14.10/6.32 % (3894009)Time elapsed: 0.178 s
% 14.10/6.32 % (3894009)Peak memory usage: 30 MB
% 14.10/6.32 % (3894009)Instructions burned: 375 (million)
% 14.10/6.32 % (3894032)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 14.10/6.32 % (3894032)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3198460450:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/373Mi)
% 14.10/6.32 % (3894024)Instruction limit reached!
% 14.10/6.32 % (3894024)------------------------------
% 14.10/6.32 % (3894024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.10/6.32 % (3894024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/6.32 % (3894024)CaDiCaL version: 2.1.3
% 14.10/6.32 % (3894024)Termination reason: Instruction limit
% 14.10/6.32 % (3894024)Termination phase: shuffling
% 14.10/6.32 % (3894024)Time elapsed: 0.073 s
% 14.10/6.32 % (3894024)Peak memory usage: 27 MB
% 14.10/6.32 % (3894024)Instructions burned: 139 (million)
% 14.10/6.32 % (3894010)Instruction limit reached!
% 14.10/6.32 % (3894010)------------------------------
% 14.10/6.32 % (3894010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.10/6.32 % (3894010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/6.32 % (3894010)CaDiCaL version: 2.1.3
% 14.10/6.32 % (3894010)Termination reason: Instruction limit
% 14.10/6.32 % (3894010)Termination phase: shuffling
% 14.10/6.32 % (3894010)Time elapsed: 0.228 s
% 14.10/6.32 % (3894010)Peak memory usage: 32 MB
% 14.10/6.32 % (3894010)Instructions burned: 495 (million)
% 14.10/6.32 % (3894034)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=4046257710:i=116:ep=RSTC:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/116Mi)
% 14.10/6.32 % (3894035)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=979194319:i=575:rtra=on_2986 on theBenchmark for (2986ds/575Mi)
% 14.10/6.32 % (3894030)Instruction limit reached!
% 14.10/6.32 % (3894030)------------------------------
% 14.10/6.32 % (3894030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.10/6.32 % (3894030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/6.32 % (3894030)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894030)Termination reason: Instruction limit
% 14.64/6.48 % (3894030)Termination phase: shuffling
% 14.64/6.48 % (3894030)Time elapsed: 0.112 s
% 14.64/6.48 % (3894030)Peak memory usage: 28 MB
% 14.64/6.48 % (3894030)Instructions burned: 228 (million)
% 14.64/6.48 % (3894022)Instruction limit reached!
% 14.64/6.48 % (3894022)------------------------------
% 14.64/6.48 % (3894022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894022)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894022)Termination reason: Instruction limit
% 14.64/6.48 % (3894022)Termination phase: shuffling
% 14.64/6.48 % (3894022)Time elapsed: 0.163 s
% 14.64/6.48 % (3894022)Peak memory usage: 31 MB
% 14.64/6.48 % (3894022)Instructions burned: 339 (million)
% 14.64/6.48 % (3894034)Instruction limit reached!
% 14.64/6.48 % (3894034)------------------------------
% 14.64/6.48 % (3894034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894034)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894034)Termination reason: Instruction limit
% 14.64/6.48 % (3894034)Termination phase: shuffling
% 14.64/6.48 % (3894034)Time elapsed: 0.061 s
% 14.64/6.48 % (3894034)Peak memory usage: 26 MB
% 14.64/6.48 % (3894034)Instructions burned: 116 (million)
% 14.64/6.48 % (3894038)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2146450963:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2986 on theBenchmark for (2986ds/270Mi)
% 14.64/6.48 % (3894039)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1567439559:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2986 on theBenchmark for (2986ds/9840Mi)
% 14.64/6.48 % (3894026)Instruction limit reached!
% 14.64/6.48 % (3894026)------------------------------
% 14.64/6.48 % (3894026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894026)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894026)Termination reason: Instruction limit
% 14.64/6.48 % (3894026)Termination phase: shuffling
% 14.64/6.48 % (3894026)Time elapsed: 0.165 s
% 14.64/6.48 % (3894026)Peak memory usage: 31 MB
% 14.64/6.48 % (3894026)Instructions burned: 342 (million)
% 14.64/6.48 % (3894040)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1935820746:i=421:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/421Mi)
% 14.64/6.48 % (3894043)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 14.64/6.48 % (3894043)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3137601876:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/270Mi)
% 14.64/6.48 % (3894032)Instruction limit reached!
% 14.64/6.48 % (3894032)------------------------------
% 14.64/6.48 % (3894032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894032)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894032)Termination reason: Instruction limit
% 14.64/6.48 % (3894032)Termination phase: shuffling
% 14.64/6.48 % (3894032)Time elapsed: 0.180 s
% 14.64/6.48 % (3894032)Peak memory usage: 32 MB
% 14.64/6.48 % (3894032)Instructions burned: 375 (million)
% 14.64/6.48 % (3894046)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=533943693:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/31Mi)
% 14.64/6.48 % (3894046)Instruction limit reached!
% 14.64/6.48 % (3894046)------------------------------
% 14.64/6.48 % (3894046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894046)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894046)Termination reason: Instruction limit
% 14.64/6.48 % (3894046)Termination phase: shuffling
% 14.64/6.48 % (3894046)Time elapsed: 0.025 s
% 14.64/6.48 % (3894046)Peak memory usage: 25 MB
% 14.64/6.48 % (3894046)Instructions burned: 32 (million)
% 14.64/6.48 % (3894038)Instruction limit reached!
% 14.64/6.48 % (3894038)------------------------------
% 14.64/6.48 % (3894038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894038)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894038)Termination reason: Instruction limit
% 14.64/6.48 % (3894038)Termination phase: shuffling
% 14.64/6.48 % (3894038)Time elapsed: 0.133 s
% 14.64/6.48 % (3894038)Peak memory usage: 29 MB
% 14.64/6.48 % (3894038)Instructions burned: 272 (million)
% 14.64/6.48 % (3894048)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 14.64/6.48 % (3894048)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 14.64/6.48 % (3894048)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1817553585:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2984 on theBenchmark for (2984ds/1440Mi)
% 14.64/6.48 % (3894043)Instruction limit reached!
% 14.64/6.48 % (3894043)------------------------------
% 14.64/6.48 % (3894043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894043)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894043)Termination reason: Instruction limit
% 14.64/6.48 % (3894043)Termination phase: shuffling
% 14.64/6.48 % (3894043)Time elapsed: 0.127 s
% 14.64/6.48 % (3894043)Peak memory usage: 28 MB
% 14.64/6.48 % (3894043)Instructions burned: 270 (million)
% 14.64/6.48 % (3894049)dis+10_2_sil=128000:si=on:random_seed=2326873486:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2984 on theBenchmark for (2984ds/339Mi)
% 14.64/6.48 % (3894052)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=424690788:i=111:add=on:fgj=on:rtra=on:fdi=1024_2984 on theBenchmark for (2984ds/111Mi)
% 14.64/6.48 % (3894035)Instruction limit reached!
% 14.64/6.48 % (3894035)------------------------------
% 14.64/6.48 % (3894035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894035)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894035)Termination reason: Instruction limit
% 14.64/6.48 % (3894035)Termination phase: shuffling
% 14.64/6.48 % (3894035)Time elapsed: 0.266 s
% 14.64/6.48 % (3894035)Peak memory usage: 33 MB
% 14.64/6.48 % (3894035)Instructions burned: 575 (million)
% 14.64/6.48 % (3894040)Instruction limit reached!
% 14.64/6.48 % (3894040)------------------------------
% 14.64/6.48 % (3894040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894040)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894040)Termination reason: Instruction limit
% 14.64/6.48 % (3894040)Termination phase: shuffling
% 14.64/6.48 % (3894040)Time elapsed: 0.198 s
% 14.64/6.48 % (3894040)Peak memory usage: 31 MB
% 14.64/6.48 % (3894040)Instructions burned: 423 (million)
% 14.64/6.48 % (3894054)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2744185678:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/122Mi)
% 14.64/6.48 % (3894055)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=4110072428:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/136Mi)
% 14.64/6.48 % (3894052)Instruction limit reached!
% 14.64/6.48 % (3894052)------------------------------
% 14.64/6.48 % (3894052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894052)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894052)Termination reason: Instruction limit
% 14.64/6.48 % (3894052)Termination phase: shuffling
% 14.64/6.48 % (3894052)Time elapsed: 0.061 s
% 14.64/6.48 % (3894052)Peak memory usage: 27 MB
% 14.64/6.48 % (3894052)Instructions burned: 112 (million)
% 14.64/6.48 % (3894058)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=280925661:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/232Mi)
% 14.64/6.48 % (3894054)Instruction limit reached!
% 14.64/6.48 % (3894054)------------------------------
% 14.64/6.48 % (3894054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894054)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894054)Termination reason: Instruction limit
% 14.64/6.48 % (3894054)Termination phase: shuffling
% 14.64/6.48 % (3894054)Time elapsed: 0.066 s
% 14.64/6.48 % (3894054)Peak memory usage: 27 MB
% 14.64/6.48 % (3894054)Instructions burned: 124 (million)
% 14.64/6.48 % (3894055)Instruction limit reached!
% 14.64/6.48 % (3894055)------------------------------
% 14.64/6.48 % (3894055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894055)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894055)Termination reason: Instruction limit
% 14.64/6.48 % (3894055)Termination phase: shuffling
% 14.64/6.48 % (3894055)Time elapsed: 0.071 s
% 14.64/6.48 % (3894055)Peak memory usage: 27 MB
% 14.64/6.48 % (3894055)Instructions burned: 136 (million)
% 14.64/6.48 % (3894060)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=2042109553:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2982 on theBenchmark for (2982ds/1254Mi)
% 14.64/6.48 % (3894049)Instruction limit reached!
% 14.64/6.48 % (3894049)------------------------------
% 14.64/6.48 % (3894049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894049)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894049)Termination reason: Instruction limit
% 14.64/6.48 % (3894049)Termination phase: shuffling
% 14.64/6.48 % (3894049)Time elapsed: 0.163 s
% 14.64/6.48 % (3894049)Peak memory usage: 30 MB
% 14.64/6.48 % (3894049)Instructions burned: 341 (million)
% 14.64/6.48 % (3894061)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 14.64/6.48 % (3894061)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=2878974733:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2982 on theBenchmark for (2982ds/281Mi)
% 14.64/6.48 % (3894063)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3188381432:i=619:add=on:rtra=on_2982 on theBenchmark for (2982ds/619Mi)
% 14.64/6.48 % (3894058)Instruction limit reached!
% 14.64/6.48 % (3894058)------------------------------
% 14.64/6.48 % (3894058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.48 % (3894058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.48 % (3894058)CaDiCaL version: 2.1.3
% 14.64/6.48 % (3894058)Termination reason: Instruction limit
% 14.64/6.48 % (3894058)Termination phase: shuffling
% 14.64/6.48 % (3894058)Time elapsed: 0.114 s
% 14.64/6.48 % (3894058)Peak memory usage: 28 MB
% 14.64/6.48 % (3894058)Instructions burned: 234 (million)
% 14.64/6.48 % (3894007) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3893869-3894007"...
% 14.64/6.48 % (3894066)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2190352213:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/865Mi)
% 14.64/6.48 % (3894007)...printing done.
% 14.64/6.48 % (3894007)Refutation found. Thanks to Tanya!
% 14.64/6.48 % SZS status Theorem for theBenchmark
% 14.64/6.48 % SZS output start Proof for theBenchmark
% See solution above
% 14.64/6.49 % (3894007)------------------------------
% 14.64/6.49 % (3894007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/6.49 % (3894007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/6.49 % (3894007)CaDiCaL version: 2.1.3
% 14.64/6.49 % (3894007)Termination reason: Refutation
% 14.64/6.49 % (3894007)Time elapsed: 0.722 s
% 14.64/6.49 % (3894007)Peak memory usage: 46 MB
% 14.64/6.49 % (3894007)Instructions burned: 2757 (million)
% 14.64/6.49 % (3893869)Success in time 1.83 s
% 14.64/6.49 % Vampire exiting
%------------------------------------------------------------------------------