%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP256^3 : 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 : n006.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 08:09:30 AM UTC 2026
% Result : Theorem 22.96s 7.97s
% Output : Refutation 22.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 18 unt; 0 typ; 3 def)
% Number of atoms : 211 ( 63 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 360 ( 43 ~; 31 |; 17 &; 258 @)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 174 ( 173 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2274 (2271 usr; 81 con; 0-5 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1319942482725812455at_nat: $tType ).
thf(type_def_6,type,
produc5542196010084753463at_nat: $tType ).
thf(type_def_7,type,
list_P7828571989066258726nteger: $tType ).
thf(type_def_8,type,
set_Pr1281608226676607948nteger: $tType ).
thf(type_def_9,type,
produc1908205239877642774nteger: $tType ).
thf(type_def_10,type,
produc5491161045314408544at_nat: $tType ).
thf(type_def_11,type,
list_P651320350408439699nt_int: $tType ).
thf(type_def_12,type,
set_Pr9222295170931077689nt_int: $tType ).
thf(type_def_13,type,
produc2285326912895808259nt_int: $tType ).
thf(type_def_14,type,
list_P5311841565141990158nteger: $tType ).
thf(type_def_15,type,
set_Pr8056137968301705908nteger: $tType ).
thf(type_def_16,type,
produc8763457246119570046nteger: $tType ).
thf(type_def_17,type,
list_P1316552470764441098e_term: $tType ).
thf(type_def_18,type,
set_Pr7604974323444597168e_term: $tType ).
thf(type_def_19,type,
list_P1743416141875011707e_term: $tType ).
thf(type_def_20,type,
set_Pr3642885161833720865e_term: $tType ).
thf(type_def_21,type,
list_P8915022641806594461nt_int: $tType ).
thf(type_def_22,type,
set_Pr1872883991513573699nt_int: $tType ).
thf(type_def_23,type,
produc7773217078559923341nt_int: $tType ).
thf(type_def_24,type,
list_P5464809261938338413at_nat: $tType ).
thf(type_def_25,type,
set_Pr4329608150637261639at_nat: $tType ).
thf(type_def_26,type,
produc1193250871479095198on_num: $tType ).
thf(type_def_27,type,
produc8306885398267862888on_nat: $tType ).
thf(type_def_28,type,
produc6121120109295599847at_nat: $tType ).
thf(type_def_29,type,
produc7036089656553540234on_num: $tType ).
thf(type_def_30,type,
produc2233624965454879586on_nat: $tType ).
thf(type_def_31,type,
produc3843707927480180839at_nat: $tType ).
thf(type_def_32,type,
list_P8469869581646625389at_nat: $tType ).
thf(type_def_33,type,
list_C878401137130745250e_term: $tType ).
thf(type_def_34,type,
set_Pr8693737435421807431at_nat: $tType ).
thf(type_def_35,type,
set_Co9149898834107579976e_term: $tType ).
thf(type_def_36,type,
list_i8448526496819171953e_term: $tType ).
thf(type_def_37,type,
set_Pr1916528119006554503T_VEBT: $tType ).
thf(type_def_38,type,
produc859450856879609959at_nat: $tType ).
thf(type_def_39,type,
set_in3461395444621081367e_term: $tType ).
thf(type_def_40,type,
produc9211091688327510695T_VEBT: $tType ).
thf(type_def_41,type,
produc6241069584506657477e_term: $tType ).
thf(type_def_42,type,
set_fi4554929511873752355omplex: $tType ).
thf(type_def_43,type,
set_Pr3451248702717554689st_nat: $tType ).
thf(type_def_44,type,
set_Pr765067013931698361st_int: $tType ).
thf(type_def_45,type,
list_P7413028617227757229T_VEBT: $tType ).
thf(type_def_46,type,
produc8551481072490612790e_term: $tType ).
thf(type_def_47,type,
set_Pr6192946355708809607T_VEBT: $tType ).
thf(type_def_48,type,
list_P6254988961118846195et_nat: $tType ).
thf(type_def_49,type,
list_P5578671422887162913nteger: $tType ).
thf(type_def_50,type,
set_Pr5488025237498180813et_nat: $tType ).
thf(type_def_51,type,
set_Pr4811707699266497531nteger: $tType ).
thf(type_def_52,type,
option6357759511663192854e_term: $tType ).
thf(type_def_53,type,
produc3447558737645232053on_num: $tType ).
thf(type_def_54,type,
produc4953844613479565601on_nat: $tType ).
thf(type_def_55,type,
set_fi7789364187291644575l_real: $tType ).
thf(type_def_56,type,
filter6041513312241820739omplex: $tType ).
thf(type_def_57,type,
list_P2623026923184700063T_real: $tType ).
thf(type_def_58,type,
list_P877281246627933069T_VEBT: $tType ).
thf(type_def_59,type,
produc1828647624359046049st_nat: $tType ).
thf(type_def_60,type,
produc1186641810826059865st_int: $tType ).
thf(type_def_61,type,
set_Pr7765410600122031685T_real: $tType ).
thf(type_def_62,type,
set_Pr6019664923565264691T_VEBT: $tType ).
thf(type_def_63,type,
list_P7037539587688870467BT_nat: $tType ).
thf(type_def_64,type,
list_P4547456442757143711BT_int: $tType ).
thf(type_def_65,type,
list_P5647936690300460905T_VEBT: $tType ).
thf(type_def_66,type,
list_P7524865323317820941T_VEBT: $tType ).
thf(type_def_67,type,
set_Pr6227168374412355847list_o: $tType ).
thf(type_def_68,type,
set_li5450038453877631591at_nat: $tType ).
thf(type_def_69,type,
produc8243902056947475879T_VEBT: $tType ).
thf(type_def_70,type,
set_Pr7556676689462069481BT_nat: $tType ).
thf(type_def_71,type,
set_Pr5066593544530342725BT_int: $tType ).
thf(type_def_72,type,
set_Pr8044002425091019955T_VEBT: $tType ).
thf(type_def_73,type,
set_se7855581050983116737at_nat: $tType ).
thf(type_def_74,type,
set_Pr5085853215250843933omplex: $tType ).
thf(type_def_75,type,
produc7819656566062154093et_nat: $tType ).
thf(type_def_76,type,
produc8923325533196201883nteger: $tType ).
thf(type_def_77,type,
list_P3126845725202233233VEBT_o: $tType ).
thf(type_def_78,type,
list_P7495141550334521929T_VEBT: $tType ).
thf(type_def_79,type,
filter2146258269922977983l_real: $tType ).
thf(type_def_80,type,
set_Pr3175402225741728619VEBT_o: $tType ).
thf(type_def_81,type,
set_Pr7543698050874017315T_VEBT: $tType ).
thf(type_def_82,type,
option4927543243414619207at_nat: $tType ).
thf(type_def_83,type,
list_P8689742595348180415l_real: $tType ).
thf(type_def_84,type,
filter1242075044329608583at_nat: $tType ).
thf(type_def_85,type,
set_Pr6218003697084177305l_real: $tType ).
thf(type_def_86,type,
list_P6834414599653733731al_nat: $tType ).
thf(type_def_87,type,
list_P4344331454722006975al_int: $tType ).
thf(type_def_88,type,
list_P6863124054624500543t_real: $tType ).
thf(type_def_89,type,
produc5170161368751668367T_real: $tType ).
thf(type_def_90,type,
produc3757001726724277373T_VEBT: $tType ).
thf(type_def_91,type,
set_Pr3510011417693777981al_nat: $tType ).
thf(type_def_92,type,
set_Pr1019928272762051225al_int: $tType ).
thf(type_def_93,type,
set_Pr3538720872664544793t_real: $tType ).
thf(type_def_94,type,
produc7102631898165422375list_o: $tType ).
thf(type_def_95,type,
list_P6011104703257516679at_nat: $tType ).
thf(type_def_96,type,
list_P3521021558325789923at_int: $tType ).
thf(type_def_97,type,
list_P5707943133018811711nt_int: $tType ).
thf(type_def_98,type,
produc9072475918466114483BT_nat: $tType ).
thf(type_def_99,type,
produc4894624898956917775BT_int: $tType ).
thf(type_def_100,type,
produc8025551001238799321T_VEBT: $tType ).
thf(type_def_101,type,
produc1531783533982839933T_VEBT: $tType ).
thf(type_def_102,type,
set_Pr1261947904930325089at_nat: $tType ).
thf(type_def_103,type,
set_Pr958786334691620121nt_int: $tType ).
thf(type_def_104,type,
produc4411394909380815293omplex: $tType ).
thf(type_def_105,type,
list_P3595434254542482545real_o: $tType ).
thf(type_def_106,type,
list_P5232166724548748803o_real: $tType ).
thf(type_def_107,type,
set_Pr4936984352647145239real_o: $tType ).
thf(type_def_108,type,
set_Pr6573716822653411497o_real: $tType ).
thf(type_def_109,type,
list_P7333126701944960589_nat_o: $tType ).
thf(type_def_110,type,
list_P6285523579766656935_o_nat: $tType ).
thf(type_def_111,type,
list_P3795440434834930179_o_int: $tType ).
thf(type_def_112,type,
set_list_VEBT_VEBT: $tType ).
thf(type_def_113,type,
produc334124729049499915VEBT_o: $tType ).
thf(type_def_114,type,
produc2504756804600209347T_VEBT: $tType ).
thf(type_def_115,type,
set_Pr2101469702781467981_o_nat: $tType ).
thf(type_def_116,type,
set_Pr8834758594704517033_o_int: $tType ).
thf(type_def_117,type,
produc6271795597528267376eger_o: $tType ).
thf(type_def_118,type,
produc2422161461964618553l_real: $tType ).
thf(type_def_119,type,
produc3741383161447143261al_nat: $tType ).
thf(type_def_120,type,
produc8786904178792722361al_int: $tType ).
thf(type_def_121,type,
produc679980390762269497t_real: $tType ).
thf(type_def_122,type,
product_prod_num_num: $tType ).
thf(type_def_123,type,
product_prod_nat_num: $tType ).
thf(type_def_124,type,
product_prod_nat_nat: $tType ).
thf(type_def_125,type,
product_prod_nat_int: $tType ).
thf(type_def_126,type,
product_prod_int_int: $tType ).
thf(type_def_127,type,
list_P4002435161011370285od_o_o: $tType ).
thf(type_def_128,type,
set_list_complex: $tType ).
thf(type_def_129,type,
set_Product_prod_o_o: $tType ).
thf(type_def_130,type,
set_set_complex: $tType ).
thf(type_def_131,type,
option_VEBT_VEBT: $tType ).
thf(type_def_132,type,
option_set_nat: $tType ).
thf(type_def_133,type,
product_prod_real_o: $tType ).
thf(type_def_134,type,
product_prod_o_real: $tType ).
thf(type_def_135,type,
list_VEBT_VEBT: $tType ).
thf(type_def_136,type,
set_list_nat: $tType ).
thf(type_def_137,type,
set_list_int: $tType ).
thf(type_def_138,type,
product_prod_nat_o: $tType ).
thf(type_def_139,type,
product_prod_o_nat: $tType ).
thf(type_def_140,type,
product_prod_o_int: $tType ).
thf(type_def_141,type,
list_set_nat: $tType ).
thf(type_def_142,type,
set_VEBT_VEBT: $tType ).
thf(type_def_143,type,
set_set_nat: $tType ).
thf(type_def_144,type,
set_set_int: $tType ).
thf(type_def_145,type,
set_Code_integer: $tType ).
thf(type_def_146,type,
set_Product_unit: $tType ).
thf(type_def_147,type,
list_complex: $tType ).
thf(type_def_148,type,
set_list_o: $tType ).
thf(type_def_149,type,
product_prod_o_o: $tType ).
thf(type_def_150,type,
set_complex: $tType ).
thf(type_def_151,type,
option_real: $tType ).
thf(type_def_152,type,
filter_real: $tType ).
thf(type_def_153,type,
option_num: $tType ).
thf(type_def_154,type,
option_nat: $tType ).
thf(type_def_155,type,
option_int: $tType ).
thf(type_def_156,type,
filter_nat: $tType ).
thf(type_def_157,type,
list_real: $tType ).
thf(type_def_158,type,
set_real: $tType ).
thf(type_def_159,type,
list_num: $tType ).
thf(type_def_160,type,
list_nat: $tType ).
thf(type_def_161,type,
list_int: $tType ).
thf(type_def_162,type,
vEBT_VEBT: $tType ).
thf(type_def_163,type,
set_rat: $tType ).
thf(type_def_164,type,
set_num: $tType ).
thf(type_def_165,type,
set_nat: $tType ).
thf(type_def_166,type,
set_int: $tType ).
thf(type_def_167,type,
code_integer: $tType ).
thf(type_def_168,type,
option_o: $tType ).
thf(type_def_169,type,
extended_enat: $tType ).
thf(type_def_170,type,
list_o: $tType ).
thf(type_def_171,type,
complex: $tType ).
thf(type_def_172,type,
set_o: $tType ).
thf(type_def_173,type,
real: $tType ).
thf(type_def_174,type,
rat: $tType ).
thf(type_def_175,type,
num: $tType ).
thf(type_def_176,type,
nat: $tType ).
thf(type_def_177,type,
int: $tType ).
thf(type_def_178,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_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).
thf(func_def_9,type,
bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).
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_re4297313714947099218al_o_o: ( ( nat > rat ) > real > $o ) > ( $o > $o > $o ) > ( ( nat > rat ) > $o ) > ( real > $o ) > $o ).
thf(func_def_12,type,
bNF_re3403563459893282935_int_o: ( int > int > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( int > int > $o ) > ( int > int > $o ) > $o ).
thf(func_def_13,type,
bNF_re157797125943740599nt_int: ( int > int > $o ) > ( ( int > product_prod_int_int ) > ( int > product_prod_int_int ) > $o ) > ( int > int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > $o ).
thf(func_def_14,type,
bNF_re3461391660133120880nt_rat: ( int > int > $o ) > ( ( int > product_prod_int_int ) > ( int > rat ) > $o ) > ( int > int > product_prod_int_int ) > ( int > int > rat ) > $o ).
thf(func_def_15,type,
bNF_re5089333283451836215nt_o_o: ( int > int > $o ) > ( $o > $o > $o ) > ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_16,type,
bNF_re6250860962936578807nt_int: ( int > int > $o ) > ( product_prod_int_int > product_prod_int_int > $o ) > ( int > product_prod_int_int ) > ( int > product_prod_int_int ) > $o ).
thf(func_def_17,type,
bNF_re2214769303045360666nt_rat: ( int > int > $o ) > ( product_prod_int_int > rat > $o ) > ( int > product_prod_int_int ) > ( int > rat ) > $o ).
thf(func_def_18,type,
bNF_re578469030762574527_nat_o: ( nat > nat > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_19,type,
bNF_re4705727531993890431at_o_o: ( nat > nat > $o ) > ( $o > $o > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_20,type,
bNF_re6830278522597306478at_int: ( nat > nat > $o ) > ( product_prod_nat_nat > int > $o ) > ( nat > product_prod_nat_nat ) > ( nat > int ) > $o ).
thf(func_def_21,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_22,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_23,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_24,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_25,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_26,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_27,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_28,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_29,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_30,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_31,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_32,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_33,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_34,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_35,type,
bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).
thf(func_def_36,type,
binomial: nat > nat > nat ).
thf(func_def_37,type,
gbinomial_complex: complex > nat > complex ).
thf(func_def_38,type,
gbinomial_int: int > nat > int ).
thf(func_def_39,type,
gbinomial_nat: nat > nat > nat ).
thf(func_def_40,type,
gbinomial_rat: rat > nat > rat ).
thf(func_def_41,type,
gbinomial_real: real > nat > real ).
thf(func_def_42,type,
bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_43,type,
bit_and_not_num: num > num > option_num ).
thf(func_def_44,type,
bit_and_not_num_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(func_def_45,type,
bit_concat_bit: nat > int > int > int ).
thf(func_def_46,type,
bit_ri7919022796975470100ot_int: int > int ).
thf(func_def_47,type,
bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).
thf(func_def_48,type,
bit_ri631733984087533419it_int: nat > int > int ).
thf(func_def_49,type,
bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).
thf(func_def_50,type,
bit_se725231765392027082nd_int: int > int > int ).
thf(func_def_51,type,
bit_se727722235901077358nd_nat: nat > nat > nat ).
thf(func_def_52,type,
bit_se8568078237143864401it_int: nat > int > int ).
thf(func_def_53,type,
bit_se8570568707652914677it_nat: nat > nat > nat ).
thf(func_def_54,type,
bit_se1345352211410354436nteger: nat > code_integer > code_integer ).
thf(func_def_55,type,
bit_se2159334234014336723it_int: nat > int > int ).
thf(func_def_56,type,
bit_se2161824704523386999it_nat: nat > nat > nat ).
thf(func_def_57,type,
bit_se2000444600071755411sk_int: nat > int ).
thf(func_def_58,type,
bit_se2002935070580805687sk_nat: nat > nat ).
thf(func_def_59,type,
bit_se1080825931792720795nteger: code_integer > code_integer > code_integer ).
thf(func_def_60,type,
bit_se1409905431419307370or_int: int > int > int ).
thf(func_def_61,type,
bit_se1412395901928357646or_nat: nat > nat > nat ).
thf(func_def_62,type,
bit_se545348938243370406it_int: nat > int > int ).
thf(func_def_63,type,
bit_se547839408752420682it_nat: nat > nat > nat ).
thf(func_def_64,type,
bit_se2793503036327961859nteger: nat > code_integer > code_integer ).
thf(func_def_65,type,
bit_se7879613467334960850it_int: nat > int > int ).
thf(func_def_66,type,
bit_se7882103937844011126it_nat: nat > nat > nat ).
thf(func_def_67,type,
bit_se1745604003318907178nteger: nat > code_integer > code_integer ).
thf(func_def_68,type,
bit_se2923211474154528505it_int: nat > int > int ).
thf(func_def_69,type,
bit_se2925701944663578781it_nat: nat > nat > nat ).
thf(func_def_70,type,
bit_se8260200283734997820nteger: nat > code_integer > code_integer ).
thf(func_def_71,type,
bit_se4203085406695923979it_int: nat > int > int ).
thf(func_def_72,type,
bit_se4205575877204974255it_nat: nat > nat > nat ).
thf(func_def_73,type,
bit_se6526347334894502574or_int: int > int > int ).
thf(func_def_74,type,
bit_se6528837805403552850or_nat: nat > nat > nat ).
thf(func_def_75,type,
bit_se1146084159140164899it_int: int > nat > $o ).
thf(func_def_76,type,
bit_se1148574629649215175it_nat: nat > nat > $o ).
thf(func_def_77,type,
bit_take_bit_num: nat > num > option_num ).
thf(func_def_78,type,
bit_un7362597486090784418nd_num: num > num > option_num ).
thf(func_def_79,type,
bit_un4731106466462545111um_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(func_def_80,type,
bit_un2480387367778600638or_num: num > num > option_num ).
thf(func_def_81,type,
bit_un2901131394128224187um_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(func_def_82,type,
code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).
thf(func_def_83,type,
code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_84,type,
code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_85,type,
code_int_of_integer: code_integer > int ).
thf(func_def_86,type,
code_integer_of_int: int > code_integer ).
thf(func_def_87,type,
code_integer_of_nat: nat > code_integer ).
thf(func_def_88,type,
code_nat_of_integer: code_integer > nat ).
thf(func_def_89,type,
comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).
thf(func_def_90,type,
comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).
thf(func_def_91,type,
complete_Inf_Inf_nat: set_nat > nat ).
thf(func_def_92,type,
comple7806235888213564991et_nat: set_set_nat > set_nat ).
thf(func_def_93,type,
complete_Sup_Sup_nat: set_nat > nat ).
thf(func_def_94,type,
arg: complex > real ).
thf(func_def_95,type,
cis: real > complex ).
thf(func_def_96,type,
complex2: real > real > complex ).
thf(func_def_97,type,
condit2214826472909112428ve_nat: set_nat > $o ).
thf(func_def_98,type,
differ6690327859849518006l_real: ( real > real ) > filter_real > $o ).
thf(func_def_99,type,
has_de1759254742604945161l_real: ( real > real ) > ( real > real ) > filter_real > $o ).
thf(func_def_100,type,
has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).
thf(func_def_101,type,
adjust_div: product_prod_int_int > int ).
thf(func_def_102,type,
divmod_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_103,type,
eucl_rel_int: int > int > product_prod_int_int > $o ).
thf(func_def_104,type,
unique6319869463603278526ux_int: product_prod_int_int > $o ).
thf(func_def_105,type,
unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).
thf(func_def_106,type,
unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).
thf(func_def_107,type,
unique5052692396658037445od_int: num > num > product_prod_int_int ).
thf(func_def_108,type,
unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).
thf(func_def_109,type,
unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_110,type,
unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).
thf(func_def_111,type,
unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_112,type,
comm_s8582702949713902594nteger: code_integer > nat > code_integer ).
thf(func_def_113,type,
comm_s2602460028002588243omplex: complex > nat > complex ).
thf(func_def_114,type,
comm_s4660882817536571857er_int: int > nat > int ).
thf(func_def_115,type,
comm_s4663373288045622133er_nat: nat > nat > nat ).
thf(func_def_116,type,
comm_s4028243227959126397er_rat: rat > nat > rat ).
thf(func_def_117,type,
comm_s7457072308508201937r_real: real > nat > real ).
thf(func_def_118,type,
semiri3624122377584611663nteger: nat > code_integer ).
thf(func_def_119,type,
semiri5044797733671781792omplex: nat > complex ).
thf(func_def_120,type,
semiri1406184849735516958ct_int: nat > int ).
thf(func_def_121,type,
semiri1408675320244567234ct_nat: nat > nat ).
thf(func_def_122,type,
semiri773545260158071498ct_rat: nat > rat ).
thf(func_def_123,type,
semiri2265585572941072030t_real: nat > real ).
thf(func_def_124,type,
invers8013647133539491842omplex: complex > complex ).
thf(func_def_125,type,
inverse_inverse_rat: rat > rat ).
thf(func_def_126,type,
inverse_inverse_real: real > real ).
thf(func_def_127,type,
at_bot_real: filter_real ).
thf(func_def_128,type,
at_top_nat: filter_nat ).
thf(func_def_129,type,
at_top_real: filter_real ).
thf(func_def_130,type,
eventually_nat: ( nat > $o ) > filter_nat > $o ).
thf(func_def_131,type,
eventu1038000079068216329at_nat: ( product_prod_nat_nat > $o ) > filter1242075044329608583at_nat > $o ).
thf(func_def_132,type,
eventually_real: ( real > $o ) > filter_real > $o ).
thf(func_def_133,type,
filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).
thf(func_def_134,type,
filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).
thf(func_def_135,type,
filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).
thf(func_def_136,type,
princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).
thf(func_def_137,type,
princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).
thf(func_def_138,type,
prod_filter_nat_nat: filter_nat > filter_nat > filter1242075044329608583at_nat ).
thf(func_def_139,type,
finite_card_complex: set_complex > nat ).
thf(func_def_140,type,
finite_card_list_nat: set_list_nat > nat ).
thf(func_def_141,type,
finite_card_nat: set_nat > nat ).
thf(func_def_142,type,
finite410649719033368117t_unit: set_Product_unit > nat ).
thf(func_def_143,type,
finite_card_set_nat: set_set_nat > nat ).
thf(func_def_144,type,
finite_finite_o: set_o > $o ).
thf(func_def_145,type,
finite3207457112153483333omplex: set_complex > $o ).
thf(func_def_146,type,
finite_finite_int: set_int > $o ).
thf(func_def_147,type,
finite_finite_list_o: set_list_o > $o ).
thf(func_def_148,type,
finite8712137658972009173omplex: set_list_complex > $o ).
thf(func_def_149,type,
finite3922522038869484883st_int: set_list_int > $o ).
thf(func_def_150,type,
finite8100373058378681591st_nat: set_list_nat > $o ).
thf(func_def_151,type,
finite500796754983035824at_nat: set_li5450038453877631591at_nat > $o ).
thf(func_def_152,type,
finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).
thf(func_def_153,type,
finite_finite_nat: set_nat > $o ).
thf(func_def_154,type,
finite_finite_num: set_num > $o ).
thf(func_def_155,type,
finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).
thf(func_def_156,type,
finite4343798906461161616at_nat: set_Pr4329608150637261639at_nat > $o ).
thf(func_def_157,type,
finite_finite_rat: set_rat > $o ).
thf(func_def_158,type,
finite_finite_real: set_real > $o ).
thf(func_def_159,type,
finite6551019134538273531omplex: set_set_complex > $o ).
thf(func_def_160,type,
finite6197958912794628473et_int: set_set_int > $o ).
thf(func_def_161,type,
finite1152437895449049373et_nat: set_set_nat > $o ).
thf(func_def_162,type,
finite9047747110432174090at_nat: set_se7855581050983116737at_nat > $o ).
thf(func_def_163,type,
finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).
thf(func_def_164,type,
bij_be1856998921033663316omplex: ( complex > complex ) > set_complex > set_complex > $o ).
thf(func_def_165,type,
bij_betw_nat_complex: ( nat > complex ) > set_nat > set_complex > $o ).
thf(func_def_166,type,
bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).
thf(func_def_167,type,
comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_168,type,
comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_169,type,
comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).
thf(func_def_170,type,
comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).
thf(func_def_171,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(func_def_172,type,
inj_on_real_real: ( real > real ) > set_real > $o ).
thf(func_def_173,type,
inj_on_set_nat_nat: ( set_nat > nat ) > set_set_nat > $o ).
thf(func_def_174,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_175,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_176,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_177,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_178,type,
strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).
thf(func_def_179,type,
the_in5290026491893676941l_real: set_real > ( real > real ) > real > real ).
thf(func_def_180,type,
fun_max_strict: set_Pr4329608150637261639at_nat ).
thf(func_def_181,type,
fun_max_weak: set_Pr4329608150637261639at_nat ).
thf(func_def_182,type,
fun_min_strict: set_Pr4329608150637261639at_nat ).
thf(func_def_183,type,
fun_min_weak: set_Pr4329608150637261639at_nat ).
thf(func_def_184,type,
fun_pair_leq: set_Pr8693737435421807431at_nat ).
thf(func_def_185,type,
fun_pair_less: set_Pr8693737435421807431at_nat ).
thf(func_def_186,type,
fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).
thf(func_def_187,type,
gcd_Gcd_nat: set_nat > nat ).
thf(func_def_188,type,
bezw: nat > nat > product_prod_int_int ).
thf(func_def_189,type,
bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_190,type,
gcd_gcd_int: int > int > int ).
thf(func_def_191,type,
gcd_gcd_nat: nat > nat > nat ).
thf(func_def_192,type,
gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_193,type,
abs_abs_Code_integer: code_integer > code_integer ).
thf(func_def_194,type,
abs_abs_complex: complex > complex ).
thf(func_def_195,type,
abs_abs_int: int > int ).
thf(func_def_196,type,
abs_abs_rat: rat > rat ).
thf(func_def_197,type,
abs_abs_real: real > real ).
thf(func_def_198,type,
minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).
thf(func_def_199,type,
minus_1139252259498527702_nat_o: ( list_nat > $o ) > ( list_nat > $o ) > list_nat > $o ).
thf(func_def_200,type,
minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).
thf(func_def_201,type,
minus_2270307095948843157_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_202,type,
minus_minus_real_o: ( real > $o ) > ( real > $o ) > real > $o ).
thf(func_def_203,type,
minus_6910147592129066416_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > set_nat > $o ).
thf(func_def_204,type,
minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).
thf(func_def_205,type,
minus_minus_complex: complex > complex > complex ).
thf(func_def_206,type,
minus_minus_int: int > int > int ).
thf(func_def_207,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_208,type,
minus_minus_rat: rat > rat > rat ).
thf(func_def_209,type,
minus_minus_real: real > real > real ).
thf(func_def_210,type,
minus_811609699411566653omplex: set_complex > set_complex > set_complex ).
thf(func_def_211,type,
minus_minus_set_int: set_int > set_int > set_int ).
thf(func_def_212,type,
minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).
thf(func_def_213,type,
minus_minus_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_214,type,
minus_minus_set_num: set_num > set_num > set_num ).
thf(func_def_215,type,
minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_216,type,
minus_3314409938677909166at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_217,type,
minus_minus_set_rat: set_rat > set_rat > set_rat ).
thf(func_def_218,type,
minus_minus_set_real: set_real > set_real > set_real ).
thf(func_def_219,type,
minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat ).
thf(func_def_220,type,
one_one_Code_integer: code_integer ).
thf(func_def_221,type,
one_one_complex: complex ).
thf(func_def_222,type,
one_on7984719198319812577d_enat: extended_enat ).
thf(func_def_223,type,
one_one_int: int ).
thf(func_def_224,type,
one_one_nat: nat ).
thf(func_def_225,type,
one_one_rat: rat ).
thf(func_def_226,type,
one_one_real: real ).
thf(func_def_227,type,
plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).
thf(func_def_228,type,
plus_plus_complex: complex > complex > complex ).
thf(func_def_229,type,
plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).
thf(func_def_230,type,
plus_plus_int: int > int > int ).
thf(func_def_231,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_232,type,
plus_plus_num: num > num > num ).
thf(func_def_233,type,
plus_plus_rat: rat > rat > rat ).
thf(func_def_234,type,
plus_plus_real: real > real > real ).
thf(func_def_235,type,
sgn_sgn_Code_integer: code_integer > code_integer ).
thf(func_def_236,type,
sgn_sgn_complex: complex > complex ).
thf(func_def_237,type,
sgn_sgn_int: int > int ).
thf(func_def_238,type,
sgn_sgn_rat: rat > rat ).
thf(func_def_239,type,
sgn_sgn_real: real > real ).
thf(func_def_240,type,
times_3573771949741848930nteger: code_integer > code_integer > code_integer ).
thf(func_def_241,type,
times_times_complex: complex > complex > complex ).
thf(func_def_242,type,
times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).
thf(func_def_243,type,
times_times_int: int > int > int ).
thf(func_def_244,type,
times_times_nat: nat > nat > nat ).
thf(func_def_245,type,
times_times_rat: rat > rat > rat ).
thf(func_def_246,type,
times_times_real: real > real > real ).
thf(func_def_247,type,
uminus_uminus_int_o: ( int > $o ) > int > $o ).
thf(func_def_248,type,
uminus5770388063884162150_nat_o: ( list_nat > $o ) > list_nat > $o ).
thf(func_def_249,type,
uminus_uminus_nat_o: ( nat > $o ) > nat > $o ).
thf(func_def_250,type,
uminus8676089048583255045_nat_o: ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_251,type,
uminus_uminus_real_o: ( real > $o ) > real > $o ).
thf(func_def_252,type,
uminus6401447641752708672_nat_o: ( set_nat > $o ) > set_nat > $o ).
thf(func_def_253,type,
uminus1351360451143612070nteger: code_integer > code_integer ).
thf(func_def_254,type,
uminus1482373934393186551omplex: complex > complex ).
thf(func_def_255,type,
uminus_uminus_int: int > int ).
thf(func_def_256,type,
uminus_uminus_rat: rat > rat ).
thf(func_def_257,type,
uminus_uminus_real: real > real ).
thf(func_def_258,type,
uminus1532241313380277803et_int: set_int > set_int ).
thf(func_def_259,type,
uminus3195874150345416415st_nat: set_list_nat > set_list_nat ).
thf(func_def_260,type,
uminus5710092332889474511et_nat: set_nat > set_nat ).
thf(func_def_261,type,
uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_262,type,
uminus935396558254630718at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_263,type,
uminus612125837232591019t_real: set_real > set_real ).
thf(func_def_264,type,
uminus613421341184616069et_nat: set_set_nat > set_set_nat ).
thf(func_def_265,type,
zero_z3403309356797280102nteger: code_integer ).
thf(func_def_266,type,
zero_zero_complex: complex ).
thf(func_def_267,type,
zero_z5237406670263579293d_enat: extended_enat ).
thf(func_def_268,type,
zero_zero_int: int ).
thf(func_def_269,type,
zero_zero_nat: nat ).
thf(func_def_270,type,
zero_zero_rat: rat ).
thf(func_def_271,type,
zero_zero_real: real ).
thf(func_def_272,type,
groups8507830703676809646_o_nat: ( $o > nat ) > set_o > nat ).
thf(func_def_273,type,
groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).
thf(func_def_274,type,
groups5690904116761175830ex_int: ( complex > int ) > set_complex > int ).
thf(func_def_275,type,
groups5693394587270226106ex_nat: ( complex > nat ) > set_complex > nat ).
thf(func_def_276,type,
groups5058264527183730370ex_rat: ( complex > rat ) > set_complex > rat ).
thf(func_def_277,type,
groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).
thf(func_def_278,type,
groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).
thf(func_def_279,type,
groups3049146728041665814omplex: ( int > complex ) > set_int > complex ).
thf(func_def_280,type,
groups4538972089207619220nt_int: ( int > int ) > set_int > int ).
thf(func_def_281,type,
groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).
thf(func_def_282,type,
groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).
thf(func_def_283,type,
groups8778361861064173332t_real: ( int > real ) > set_int > real ).
thf(func_def_284,type,
groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).
thf(func_def_285,type,
groups2073611262835488442omplex: ( nat > complex ) > set_nat > complex ).
thf(func_def_286,type,
groups7108830773950497114d_enat: ( nat > extended_enat ) > set_nat > extended_enat ).
thf(func_def_287,type,
groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).
thf(func_def_288,type,
groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).
thf(func_def_289,type,
groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).
thf(func_def_290,type,
groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).
thf(func_def_291,type,
groups977919841031483927at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).
thf(func_def_292,type,
groups4567486121110086003t_real: ( product_prod_nat_nat > real ) > set_Pr1261947904930325089at_nat > real ).
thf(func_def_293,type,
groups3860910324918113789at_nat: ( produc3843707927480180839at_nat > nat ) > set_Pr4329608150637261639at_nat > nat ).
thf(func_def_294,type,
groups7713935264441627589nteger: ( real > code_integer ) > set_real > code_integer ).
thf(func_def_295,type,
groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).
thf(func_def_296,type,
groups1932886352136224148al_int: ( real > int ) > set_real > int ).
thf(func_def_297,type,
groups1935376822645274424al_nat: ( real > nat ) > set_real > nat ).
thf(func_def_298,type,
groups1300246762558778688al_rat: ( real > rat ) > set_real > rat ).
thf(func_def_299,type,
groups8097168146408367636l_real: ( real > real ) > set_real > real ).
thf(func_def_300,type,
groups8294997508430121362at_nat: ( set_nat > nat ) > set_set_nat > nat ).
thf(func_def_301,type,
groups771621172384141258BT_nat: ( vEBT_VEBT > nat ) > set_VEBT_VEBT > nat ).
thf(func_def_302,type,
groups808145749697022017omplex: ( complex > complex ) > set_complex > complex ).
thf(func_def_303,type,
groups2909182065852811199ex_int: ( complex > int ) > set_complex > int ).
thf(func_def_304,type,
groups2911672536361861475ex_nat: ( complex > nat ) > set_complex > nat ).
thf(func_def_305,type,
groups2276542476275365739ex_rat: ( complex > rat ) > set_complex > rat ).
thf(func_def_306,type,
groups5737402329758386879x_real: ( complex > real ) > set_complex > real ).
thf(func_def_307,type,
groups267424677133301183omplex: ( int > complex ) > set_int > complex ).
thf(func_def_308,type,
groups2983280209131991357nt_int: ( int > int ) > set_int > int ).
thf(func_def_309,type,
groups2985770679641041633nt_nat: ( int > nat ) > set_int > nat ).
thf(func_def_310,type,
groups2350640619554545897nt_rat: ( int > rat ) > set_int > rat ).
thf(func_def_311,type,
groups1523912220035142973t_real: ( int > real ) > set_int > real ).
thf(func_def_312,type,
groups8515261248781899619omplex: ( nat > complex ) > set_nat > complex ).
thf(func_def_313,type,
groups1983926497230936801at_int: ( nat > int ) > set_nat > int ).
thf(func_def_314,type,
groups1986416967739987077at_nat: ( nat > nat ) > set_nat > nat ).
thf(func_def_315,type,
groups1351286907653491341at_rat: ( nat > rat ) > set_nat > rat ).
thf(func_def_316,type,
groups8560362682196896993t_real: ( nat > real ) > set_nat > real ).
thf(func_def_317,type,
groups5683813829254066239omplex: ( real > complex ) > set_real > complex ).
thf(func_def_318,type,
groups3901808747961969597al_int: ( real > int ) > set_real > int ).
thf(func_def_319,type,
groups3904299218471019873al_nat: ( real > nat ) > set_real > nat ).
thf(func_def_320,type,
groups3269169158384524137al_rat: ( real > rat ) > set_real > rat ).
thf(func_def_321,type,
groups97945582718554045l_real: ( real > real ) > set_real > real ).
thf(func_def_322,type,
groups8682486955453173170nteger: ( complex > code_integer ) > set_complex > code_integer ).
thf(func_def_323,type,
groups3708469109370488835omplex: ( complex > complex ) > set_complex > complex ).
thf(func_def_324,type,
groups858564598930262913ex_int: ( complex > int ) > set_complex > int ).
thf(func_def_325,type,
groups861055069439313189ex_nat: ( complex > nat ) > set_complex > nat ).
thf(func_def_326,type,
groups225925009352817453ex_rat: ( complex > rat ) > set_complex > rat ).
thf(func_def_327,type,
groups766887009212190081x_real: ( complex > real ) > set_complex > real ).
thf(func_def_328,type,
groups3827104343326376752nteger: ( int > code_integer ) > set_int > code_integer ).
thf(func_def_329,type,
groups7440179247065528705omplex: ( int > complex ) > set_int > complex ).
thf(func_def_330,type,
groups1705073143266064639nt_int: ( int > int ) > set_int > int ).
thf(func_def_331,type,
groups1707563613775114915nt_nat: ( int > nat ) > set_int > nat ).
thf(func_def_332,type,
groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).
thf(func_def_333,type,
groups2316167850115554303t_real: ( int > real ) > set_int > real ).
thf(func_def_334,type,
groups2907647131375434839at_nat: ( list_nat > nat ) > set_list_nat > nat ).
thf(func_def_335,type,
groups3455450783089532116nteger: ( nat > code_integer ) > set_nat > code_integer ).
thf(func_def_336,type,
groups6464643781859351333omplex: ( nat > complex ) > set_nat > complex ).
thf(func_def_337,type,
groups705719431365010083at_int: ( nat > int ) > set_nat > int ).
thf(func_def_338,type,
groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).
thf(func_def_339,type,
groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).
thf(func_def_340,type,
groups129246275422532515t_real: ( nat > real ) > set_nat > real ).
thf(func_def_341,type,
groups4077766827762148844at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).
thf(func_def_342,type,
groups6225526099057966256nteger: ( real > code_integer ) > set_real > code_integer ).
thf(func_def_343,type,
groups713298508707869441omplex: ( real > complex ) > set_real > complex ).
thf(func_def_344,type,
groups4694064378042380927al_int: ( real > int ) > set_real > int ).
thf(func_def_345,type,
groups4696554848551431203al_nat: ( real > nat ) > set_real > nat ).
thf(func_def_346,type,
groups4061424788464935467al_rat: ( real > rat ) > set_real > rat ).
thf(func_def_347,type,
groups1681761925125756287l_real: ( real > real ) > set_real > real ).
thf(func_def_348,type,
groups4248547760180025341at_nat: ( set_nat > nat ) > set_set_nat > nat ).
thf(func_def_349,type,
groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).
thf(func_def_350,type,
groups4561878855575611511st_nat: list_nat > nat ).
thf(func_def_351,type,
the_int: ( int > $o ) > int ).
thf(func_def_352,type,
the_nat: ( nat > $o ) > nat ).
thf(func_def_353,type,
the_Pr8210177043389155639nteger: ( produc8763457246119570046nteger > $o ) > produc8763457246119570046nteger ).
thf(func_def_354,type,
the_Pr6882841213465913158nt_int: ( produc7773217078559923341nt_int > $o ) > produc7773217078559923341nt_int ).
thf(func_def_355,type,
the_Pr6653488032121699663nteger: ( produc1908205239877642774nteger > $o ) > produc1908205239877642774nteger ).
thf(func_def_356,type,
the_Pr5445864913131713084nt_int: ( produc2285326912895808259nt_int > $o ) > produc2285326912895808259nt_int ).
thf(func_def_357,type,
the_Pr4378521158711661632nt_int: ( product_prod_int_int > $o ) > product_prod_int_int ).
thf(func_def_358,type,
the_Pr7557018466319803784at_nat: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_359,type,
the_Pr4604535484834969198at_nat: ( produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat ).
thf(func_def_360,type,
the_real: ( real > $o ) > real ).
thf(func_def_361,type,
if_int_int: $o > ( int > int ) > ( int > int ) > int > int ).
thf(func_def_362,type,
if_Code_integer: $o > code_integer > code_integer > code_integer ).
thf(func_def_363,type,
if_complex: $o > complex > complex > complex ).
thf(func_def_364,type,
if_Extended_enat: $o > extended_enat > extended_enat > extended_enat ).
thf(func_def_365,type,
if_int: $o > int > int > int ).
thf(func_def_366,type,
if_list_int: $o > list_int > list_int > list_int ).
thf(func_def_367,type,
if_list_nat: $o > list_nat > list_nat > list_nat ).
thf(func_def_368,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_369,type,
if_num: $o > num > num > num ).
thf(func_def_370,type,
if_option_nat: $o > option_nat > option_nat > option_nat ).
thf(func_def_371,type,
if_option_num: $o > option_num > option_num > option_num ).
thf(func_def_372,type,
if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).
thf(func_def_373,type,
if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_374,type,
if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).
thf(func_def_375,type,
if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_376,type,
if_rat: $o > rat > rat > rat ).
thf(func_def_377,type,
if_real: $o > real > real > real ).
thf(func_def_378,type,
if_set_int: $o > set_int > set_int > set_int ).
thf(func_def_379,type,
if_VEBT_VEBT: $o > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).
thf(func_def_380,type,
infini8530281810654367211te_nat: set_nat > nat > nat ).
thf(func_def_381,type,
abs_Integ: product_prod_nat_nat > int ).
thf(func_def_382,type,
rep_Integ: int > product_prod_nat_nat ).
thf(func_def_383,type,
int_ge_less_than: int > set_Pr958786334691620121nt_int ).
thf(func_def_384,type,
int_ge_less_than2: int > set_Pr958786334691620121nt_int ).
thf(func_def_385,type,
intrel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_386,type,
nat2: int > nat ).
thf(func_def_387,type,
pcr_int: product_prod_nat_nat > int > $o ).
thf(func_def_388,type,
power_int_real: real > int > real ).
thf(func_def_389,type,
ring_18347121197199848620nteger: int > code_integer ).
thf(func_def_390,type,
ring_17405671764205052669omplex: int > complex ).
thf(func_def_391,type,
ring_1_of_int_int: int > int ).
thf(func_def_392,type,
ring_1_of_int_rat: int > rat ).
thf(func_def_393,type,
ring_1_of_int_real: int > real ).
thf(func_def_394,type,
inf_inf_nat: nat > nat > nat ).
thf(func_def_395,type,
inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_396,type,
semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_397,type,
sup_sup_nat: nat > nat > nat ).
thf(func_def_398,type,
sup_sup_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_399,type,
sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_400,type,
lattic8265883725875713057ax_nat: set_nat > nat ).
thf(func_def_401,type,
lattic5364784637807008409ex_nat: ( complex > nat ) > set_complex > complex ).
thf(func_def_402,type,
lattic1922116423962787043ex_num: ( complex > num ) > set_complex > complex ).
thf(func_def_403,type,
lattic4729654577720512673ex_rat: ( complex > rat ) > set_complex > complex ).
thf(func_def_404,type,
lattic8794016678065449205x_real: ( complex > real ) > set_complex > complex ).
thf(func_def_405,type,
lattic5003618458639192673nt_num: ( int > num ) > set_int > int ).
thf(func_def_406,type,
lattic7811156612396918303nt_rat: ( int > rat ) > set_int > int ).
thf(func_def_407,type,
lattic2675449441010098035t_real: ( int > real ) > set_int > int ).
thf(func_def_408,type,
lattic4004264746738138117at_num: ( nat > num ) > set_nat > nat ).
thf(func_def_409,type,
lattic6811802900495863747at_rat: ( nat > rat ) > set_nat > nat ).
thf(func_def_410,type,
lattic488527866317076247t_real: ( nat > real ) > set_nat > nat ).
thf(func_def_411,type,
lattic5055836439445974935al_nat: ( real > nat ) > set_real > real ).
thf(func_def_412,type,
lattic1613168225601753569al_num: ( real > num ) > set_real > real ).
thf(func_def_413,type,
lattic4420706379359479199al_rat: ( real > rat ) > set_real > real ).
thf(func_def_414,type,
lattic8440615504127631091l_real: ( real > real ) > set_real > real ).
thf(func_def_415,type,
append_int: list_int > list_int > list_int ).
thf(func_def_416,type,
append_nat: list_nat > list_nat > list_nat ).
thf(func_def_417,type,
count_list_o: list_o > $o > nat ).
thf(func_def_418,type,
count_list_complex: list_complex > complex > nat ).
thf(func_def_419,type,
count_list_int: list_int > int > nat ).
thf(func_def_420,type,
count_list_nat: list_nat > nat > nat ).
thf(func_def_421,type,
count_4203492906077236349at_nat: list_P6011104703257516679at_nat > product_prod_nat_nat > nat ).
thf(func_def_422,type,
count_list_real: list_real > real > nat ).
thf(func_def_423,type,
count_list_set_nat: list_set_nat > set_nat > nat ).
thf(func_def_424,type,
count_list_VEBT_VEBT: list_VEBT_VEBT > vEBT_VEBT > nat ).
thf(func_def_425,type,
distinct_int: list_int > $o ).
thf(func_def_426,type,
distinct_nat: list_nat > $o ).
thf(func_def_427,type,
drop_nat: nat > list_nat > list_nat ).
thf(func_def_428,type,
enumerate_o: nat > list_o > list_P7333126701944960589_nat_o ).
thf(func_def_429,type,
enumerate_int: nat > list_int > list_P3521021558325789923at_int ).
thf(func_def_430,type,
enumerate_nat: nat > list_nat > list_P6011104703257516679at_nat ).
thf(func_def_431,type,
enumerate_VEBT_VEBT: nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).
thf(func_def_432,type,
find_o: ( $o > $o ) > list_o > option_o ).
thf(func_def_433,type,
find_int: ( int > $o ) > list_int > option_int ).
thf(func_def_434,type,
find_nat: ( nat > $o ) > list_nat > option_nat ).
thf(func_def_435,type,
find_num: ( num > $o ) > list_num > option_num ).
thf(func_def_436,type,
find_P8199882355184865565at_nat: ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > option4927543243414619207at_nat ).
thf(func_def_437,type,
find_real: ( real > $o ) > list_real > option_real ).
thf(func_def_438,type,
find_set_nat: ( set_nat > $o ) > list_set_nat > option_set_nat ).
thf(func_def_439,type,
find_VEBT_VEBT: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > option_VEBT_VEBT ).
thf(func_def_440,type,
fold_nat_nat: ( nat > nat > nat ) > list_nat > nat > nat ).
thf(func_def_441,type,
last_nat: list_nat > nat ).
thf(func_def_442,type,
linord1735203802627413978nt_int: ( int > int ) > list_int > list_int ).
thf(func_def_443,type,
linord738340561235409698at_nat: ( nat > nat ) > list_nat > list_nat ).
thf(func_def_444,type,
linord2614967742042102400et_nat: set_nat > list_nat ).
thf(func_def_445,type,
cons_int: int > list_int > list_int ).
thf(func_def_446,type,
cons_nat: nat > list_nat > list_nat ).
thf(func_def_447,type,
nil_int: list_int ).
thf(func_def_448,type,
nil_nat: list_nat ).
thf(func_def_449,type,
hd_nat: list_nat > nat ).
thf(func_def_450,type,
map_nat_nat: ( nat > nat ) > list_nat > list_nat ).
thf(func_def_451,type,
set_Co8062243466402858685e_term: list_C878401137130745250e_term > set_Co9149898834107579976e_term ).
thf(func_def_452,type,
set_in5217446777445088012e_term: list_i8448526496819171953e_term > set_in3461395444621081367e_term ).
thf(func_def_453,type,
set_Pr8342322266483756581e_term: list_P1316552470764441098e_term > set_Pr7604974323444597168e_term ).
thf(func_def_454,type,
set_Pr16608062948090134e_term: list_P1743416141875011707e_term > set_Pr3642885161833720865e_term ).
thf(func_def_455,type,
set_o2: list_o > set_o ).
thf(func_def_456,type,
set_complex2: list_complex > set_complex ).
thf(func_def_457,type,
set_int2: list_int > set_int ).
thf(func_def_458,type,
set_nat2: list_nat > set_nat ).
thf(func_def_459,type,
set_num2: list_num > set_num ).
thf(func_def_460,type,
set_Pr2999063419360598313nteger: list_P5311841565141990158nteger > set_Pr8056137968301705908nteger ).
thf(func_def_461,type,
set_Pr1633835384712236856nt_int: list_P8915022641806594461nt_int > set_Pr1872883991513573699nt_int ).
thf(func_def_462,type,
set_Pr2135590979564877377nteger: list_P7828571989066258726nteger > set_Pr1281608226676607948nteger ).
thf(func_def_463,type,
set_Pr4943052134776177454nt_int: list_P651320350408439699nt_int > set_Pr9222295170931077689nt_int ).
thf(func_def_464,type,
set_Product_prod_o_o2: list_P4002435161011370285od_o_o > set_Product_prod_o_o ).
thf(func_def_465,type,
set_Pr2828948584524939422_o_int: list_P3795440434834930179_o_int > set_Pr8834758594704517033_o_int ).
thf(func_def_466,type,
set_Pr7006799604034136130_o_nat: list_P6285523579766656935_o_nat > set_Pr2101469702781467981_o_nat ).
thf(func_def_467,type,
set_Pr2600826154070092190o_real: list_P5232166724548748803o_real > set_Pr6573716822653411497o_real ).
thf(func_def_468,type,
set_Pr655345902815428824T_VEBT: list_P7495141550334521929T_VEBT > set_Pr7543698050874017315T_VEBT ).
thf(func_def_469,type,
set_Pr920681315882439344nteger: list_P5578671422887162913nteger > set_Pr4811707699266497531nteger ).
thf(func_def_470,type,
set_Pr2470121279949933262nt_int: list_P5707943133018811711nt_int > set_Pr958786334691620121nt_int ).
thf(func_def_471,type,
set_Pr112895574167722958t_real: list_P6863124054624500543t_real > set_Pr3538720872664544793t_real ).
thf(func_def_472,type,
set_Pr8714266321650254504T_VEBT: list_P7524865323317820941T_VEBT > set_Pr8044002425091019955T_VEBT ).
thf(func_def_473,type,
set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_474,type,
set_Pr5518436109238095868at_nat: list_P8469869581646625389at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_475,type,
set_Pr5196769464307566348real_o: list_P3595434254542482545real_o > set_Pr4936984352647145239real_o ).
thf(func_def_476,type,
set_Pr8219819362198175822al_int: list_P4344331454722006975al_int > set_Pr1019928272762051225al_int ).
thf(func_def_477,type,
set_Pr3174298344852596722al_nat: list_P6834414599653733731al_nat > set_Pr3510011417693777981al_nat ).
thf(func_def_478,type,
set_Pr5999470521830281550l_real: list_P8689742595348180415l_real > set_Pr6218003697084177305l_real ).
thf(func_def_479,type,
set_Pr8897343066327330088T_VEBT: list_P877281246627933069T_VEBT > set_Pr6019664923565264691T_VEBT ).
thf(func_def_480,type,
set_Pr9040384385603167362et_nat: list_P6254988961118846195et_nat > set_Pr5488025237498180813et_nat ).
thf(func_def_481,type,
set_Pr3765526544606949372at_nat: list_P5464809261938338413at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_482,type,
set_Pr7708085864119495200VEBT_o: list_P3126845725202233233VEBT_o > set_Pr3175402225741728619VEBT_o ).
thf(func_def_483,type,
set_Pr2853735649769556538BT_int: list_P4547456442757143711BT_int > set_Pr5066593544530342725BT_int ).
thf(func_def_484,type,
set_Pr7031586669278753246BT_nat: list_P7037539587688870467BT_nat > set_Pr7556676689462069481BT_nat ).
thf(func_def_485,type,
set_Pr1087130671499945274T_real: list_P2623026923184700063T_real > set_Pr7765410600122031685T_real ).
thf(func_def_486,type,
set_Pr9182192707038809660T_VEBT: list_P7413028617227757229T_VEBT > set_Pr6192946355708809607T_VEBT ).
thf(func_def_487,type,
set_real2: list_real > set_real ).
thf(func_def_488,type,
set_set_nat2: list_set_nat > set_set_nat ).
thf(func_def_489,type,
set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).
thf(func_def_490,type,
size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).
thf(func_def_491,type,
tl_nat: list_nat > list_nat ).
thf(func_def_492,type,
list_u4743598893156345252e_term: list_C878401137130745250e_term > nat > ( code_integer > option6357759511663192854e_term ) > list_C878401137130745250e_term ).
thf(func_def_493,type,
list_u8946639151299769843e_term: list_i8448526496819171953e_term > nat > ( int > option6357759511663192854e_term ) > list_i8448526496819171953e_term ).
thf(func_def_494,type,
list_u877304756163299468e_term: list_P1316552470764441098e_term > nat > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > list_P1316552470764441098e_term ).
thf(func_def_495,type,
list_u3533491785856317309e_term: list_P1743416141875011707e_term > nat > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > list_P1743416141875011707e_term ).
thf(func_def_496,type,
list_update_o: list_o > nat > $o > list_o ).
thf(func_def_497,type,
list_update_int: list_int > nat > int > list_int ).
thf(func_def_498,type,
list_update_nat: list_nat > nat > nat > list_nat ).
thf(func_def_499,type,
list_u1133519416628930960nteger: list_P5311841565141990158nteger > nat > produc8763457246119570046nteger > list_P5311841565141990158nteger ).
thf(func_def_500,type,
list_u4780935413889332127nt_int: list_P8915022641806594461nt_int > nat > produc7773217078559923341nt_int > list_P8915022641806594461nt_int ).
thf(func_def_501,type,
list_u234853988314817064nteger: list_P7828571989066258726nteger > nat > produc1908205239877642774nteger > list_P7828571989066258726nteger ).
thf(func_def_502,type,
list_u7736365598306452245nt_int: list_P651320350408439699nt_int > nat > produc2285326912895808259nt_int > list_P651320350408439699nt_int ).
thf(func_def_503,type,
list_u2254550707601501961nteger: list_P5578671422887162913nteger > nat > produc8923325533196201883nteger > list_P5578671422887162913nteger ).
thf(func_def_504,type,
list_u3002344382305578791nt_int: list_P5707943133018811711nt_int > nat > product_prod_int_int > list_P5707943133018811711nt_int ).
thf(func_def_505,type,
list_u6180841689913720943at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).
thf(func_def_506,type,
list_u4696772448584712917at_nat: list_P5464809261938338413at_nat > nat > produc3843707927480180839at_nat > list_P5464809261938338413at_nat ).
thf(func_def_507,type,
list_u6961636818849549845T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT > list_P7413028617227757229T_VEBT ).
thf(func_def_508,type,
list_update_real: list_real > nat > real > list_real ).
thf(func_def_509,type,
list_update_set_nat: list_set_nat > nat > set_nat > list_set_nat ).
thf(func_def_510,type,
list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_511,type,
listrel1_o: set_Product_prod_o_o > set_Pr6227168374412355847list_o ).
thf(func_def_512,type,
listrel1_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).
thf(func_def_513,type,
listrel1_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).
thf(func_def_514,type,
listrel1_VEBT_VEBT: set_Pr6192946355708809607T_VEBT > set_Pr1916528119006554503T_VEBT ).
thf(func_def_515,type,
listrel1p_int: ( int > int > $o ) > list_int > list_int > $o ).
thf(func_def_516,type,
listrel1p_nat: ( nat > nat > $o ) > list_nat > list_nat > $o ).
thf(func_def_517,type,
nth_o: list_o > nat > $o ).
thf(func_def_518,type,
nth_int: list_int > nat > int ).
thf(func_def_519,type,
nth_nat: list_nat > nat > nat ).
thf(func_def_520,type,
nth_num: list_num > nat > num ).
thf(func_def_521,type,
nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o ).
thf(func_def_522,type,
nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int ).
thf(func_def_523,type,
nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat ).
thf(func_def_524,type,
nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT ).
thf(func_def_525,type,
nth_Pr112076138515278198_nat_o: list_P7333126701944960589_nat_o > nat > product_prod_nat_o ).
thf(func_def_526,type,
nth_Pr3440142176431000676at_int: list_P3521021558325789923at_int > nat > product_prod_nat_int ).
thf(func_def_527,type,
nth_Pr7617993195940197384at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat ).
thf(func_def_528,type,
nth_Pr744662078594809490T_VEBT: list_P5647936690300460905T_VEBT > nat > produc8025551001238799321T_VEBT ).
thf(func_def_529,type,
nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o ).
thf(func_def_530,type,
nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).
thf(func_def_531,type,
nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).
thf(func_def_532,type,
nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).
thf(func_def_533,type,
nth_real: list_real > nat > real ).
thf(func_def_534,type,
nth_set_nat: list_set_nat > nat > set_nat ).
thf(func_def_535,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_536,type,
product_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).
thf(func_def_537,type,
product_o_int: list_o > list_int > list_P3795440434834930179_o_int ).
thf(func_def_538,type,
product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).
thf(func_def_539,type,
product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).
thf(func_def_540,type,
product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).
thf(func_def_541,type,
produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).
thf(func_def_542,type,
product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).
thf(func_def_543,type,
produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).
thf(func_def_544,type,
produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).
thf(func_def_545,type,
produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).
thf(func_def_546,type,
remdups_nat: list_nat > list_nat ).
thf(func_def_547,type,
replicate_o: nat > $o > list_o ).
thf(func_def_548,type,
replicate_int: nat > int > list_int ).
thf(func_def_549,type,
replicate_nat: nat > nat > list_nat ).
thf(func_def_550,type,
replic4235873036481779905at_nat: nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).
thf(func_def_551,type,
replic2264142908078655527at_nat: nat > produc3843707927480180839at_nat > list_P5464809261938338413at_nat ).
thf(func_def_552,type,
replicate_real: nat > real > list_real ).
thf(func_def_553,type,
replicate_set_nat: nat > set_nat > list_set_nat ).
thf(func_def_554,type,
replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_555,type,
sorted_wrt_int: ( int > int > $o ) > list_int > $o ).
thf(func_def_556,type,
sorted_wrt_nat: ( nat > nat > $o ) > list_nat > $o ).
thf(func_def_557,type,
take_nat: nat > list_nat > list_nat ).
thf(func_def_558,type,
upt: nat > nat > list_nat ).
thf(func_def_559,type,
upto: int > int > list_int ).
thf(func_def_560,type,
upto_aux: int > int > list_int > list_int ).
thf(func_def_561,type,
upto_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_562,type,
zip_Co8729459035503499408nteger: list_C878401137130745250e_term > list_P5578671422887162913nteger > list_P5311841565141990158nteger ).
thf(func_def_563,type,
zip_in8766932505889695135nt_int: list_i8448526496819171953e_term > list_P5707943133018811711nt_int > list_P8915022641806594461nt_int ).
thf(func_def_564,type,
zip_Pr8292346330294042792nteger: list_P1316552470764441098e_term > list_P5578671422887162913nteger > list_P7828571989066258726nteger ).
thf(func_def_565,type,
zip_Pr4168994715204986005nt_int: list_P1743416141875011707e_term > list_P5707943133018811711nt_int > list_P651320350408439699nt_int ).
thf(func_def_566,type,
zip_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).
thf(func_def_567,type,
zip_o_int: list_o > list_int > list_P3795440434834930179_o_int ).
thf(func_def_568,type,
zip_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).
thf(func_def_569,type,
zip_o_real: list_o > list_real > list_P5232166724548748803o_real ).
thf(func_def_570,type,
zip_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).
thf(func_def_571,type,
zip_int_int: list_int > list_int > list_P5707943133018811711nt_int ).
thf(func_def_572,type,
zip_int_real: list_int > list_real > list_P6863124054624500543t_real ).
thf(func_def_573,type,
zip_int_VEBT_VEBT: list_int > list_VEBT_VEBT > list_P7524865323317820941T_VEBT ).
thf(func_def_574,type,
zip_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).
thf(func_def_575,type,
zip_nat_nat: list_nat > list_nat > list_P6011104703257516679at_nat ).
thf(func_def_576,type,
zip_nat_VEBT_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).
thf(func_def_577,type,
zip_Pr4664179122662387191at_nat: list_P6011104703257516679at_nat > list_P6011104703257516679at_nat > list_P8469869581646625389at_nat ).
thf(func_def_578,type,
zip_real_o: list_real > list_o > list_P3595434254542482545real_o ).
thf(func_def_579,type,
zip_real_int: list_real > list_int > list_P4344331454722006975al_int ).
thf(func_def_580,type,
zip_real_nat: list_real > list_nat > list_P6834414599653733731al_nat ).
thf(func_def_581,type,
zip_real_real: list_real > list_real > list_P8689742595348180415l_real ).
thf(func_def_582,type,
zip_real_VEBT_VEBT: list_real > list_VEBT_VEBT > list_P877281246627933069T_VEBT ).
thf(func_def_583,type,
zip_set_nat_set_nat: list_set_nat > list_set_nat > list_P6254988961118846195et_nat ).
thf(func_def_584,type,
zip_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).
thf(func_def_585,type,
zip_VEBT_VEBT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).
thf(func_def_586,type,
zip_VEBT_VEBT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).
thf(func_def_587,type,
zip_VEBT_VEBT_real: list_VEBT_VEBT > list_real > list_P2623026923184700063T_real ).
thf(func_def_588,type,
zip_VE537291747668921783T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).
thf(func_def_589,type,
suc: nat > nat ).
thf(func_def_590,type,
compow_nat_nat: nat > ( nat > nat ) > nat > nat ).
thf(func_def_591,type,
case_nat_o: $o > ( nat > $o ) > nat > $o ).
thf(func_def_592,type,
case_nat_nat: nat > ( nat > nat ) > nat > nat ).
thf(func_def_593,type,
case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).
thf(func_def_594,type,
pred: nat > nat ).
thf(func_def_595,type,
semiri4939895301339042750nteger: nat > code_integer ).
thf(func_def_596,type,
semiri8010041392384452111omplex: nat > complex ).
thf(func_def_597,type,
semiri4216267220026989637d_enat: nat > extended_enat ).
thf(func_def_598,type,
semiri1314217659103216013at_int: nat > int ).
thf(func_def_599,type,
semiri1316708129612266289at_nat: nat > nat ).
thf(func_def_600,type,
semiri681578069525770553at_rat: nat > rat ).
thf(func_def_601,type,
semiri5074537144036343181t_real: nat > real ).
thf(func_def_602,type,
semiri2816024913162550771omplex: ( complex > complex ) > nat > complex > complex ).
thf(func_def_603,type,
semiri8420488043553186161ux_int: ( int > int ) > nat > int > int ).
thf(func_def_604,type,
semiri8422978514062236437ux_nat: ( nat > nat ) > nat > nat > nat ).
thf(func_def_605,type,
semiri7787848453975740701ux_rat: ( rat > rat ) > nat > rat > rat ).
thf(func_def_606,type,
semiri7260567687927622513x_real: ( real > real ) > nat > real > real ).
thf(func_def_607,type,
size_size_list_o: list_o > nat ).
thf(func_def_608,type,
size_s3451745648224563538omplex: list_complex > nat ).
thf(func_def_609,type,
size_size_list_int: list_int > nat ).
thf(func_def_610,type,
size_size_list_nat: list_nat > nat ).
thf(func_def_611,type,
size_size_list_num: list_num > nat ).
thf(func_def_612,type,
size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).
thf(func_def_613,type,
size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).
thf(func_def_614,type,
size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).
thf(func_def_615,type,
size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).
thf(func_def_616,type,
size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).
thf(func_def_617,type,
size_s2970893825323803983at_int: list_P3521021558325789923at_int > nat ).
thf(func_def_618,type,
size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).
thf(func_def_619,type,
size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).
thf(func_def_620,type,
size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).
thf(func_def_621,type,
size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).
thf(func_def_622,type,
size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).
thf(func_def_623,type,
size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).
thf(func_def_624,type,
size_size_list_real: list_real > nat ).
thf(func_def_625,type,
size_s3254054031482475050et_nat: list_set_nat > nat ).
thf(func_def_626,type,
size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).
thf(func_def_627,type,
size_size_num: num > nat ).
thf(func_def_628,type,
size_size_option_nat: option_nat > nat ).
thf(func_def_629,type,
size_size_option_num: option_num > nat ).
thf(func_def_630,type,
size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).
thf(func_def_631,type,
size_size_VEBT_VEBT: vEBT_VEBT > nat ).
thf(func_def_632,type,
nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).
thf(func_def_633,type,
nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_634,type,
nat_set_decode: nat > set_nat ).
thf(func_def_635,type,
nat_set_encode: set_nat > nat ).
thf(func_def_636,type,
root: nat > real > real ).
thf(func_def_637,type,
sqrt: real > real ).
thf(func_def_638,type,
bitM: num > num ).
thf(func_def_639,type,
inc: num > num ).
thf(func_def_640,type,
neg_nu7757733837767384882nteger: code_integer > code_integer ).
thf(func_def_641,type,
neg_nu6511756317524482435omplex: complex > complex ).
thf(func_def_642,type,
neg_nu3811975205180677377ec_int: int > int ).
thf(func_def_643,type,
neg_nu3179335615603231917ec_rat: rat > rat ).
thf(func_def_644,type,
neg_nu6075765906172075777c_real: real > real ).
thf(func_def_645,type,
bit0: num > num ).
thf(func_def_646,type,
bit1: num > num ).
thf(func_def_647,type,
one: num ).
thf(func_def_648,type,
case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).
thf(func_def_649,type,
size_num: num > nat ).
thf(func_def_650,type,
num_of_nat: nat > num ).
thf(func_def_651,type,
numera6620942414471956472nteger: num > code_integer ).
thf(func_def_652,type,
numera6690914467698888265omplex: num > complex ).
thf(func_def_653,type,
numera1916890842035813515d_enat: num > extended_enat ).
thf(func_def_654,type,
numeral_numeral_int: num > int ).
thf(func_def_655,type,
numeral_numeral_nat: num > nat ).
thf(func_def_656,type,
numeral_numeral_rat: num > rat ).
thf(func_def_657,type,
numeral_numeral_real: num > real ).
thf(func_def_658,type,
pred_numeral: num > nat ).
thf(func_def_659,type,
none_int: option_int ).
thf(func_def_660,type,
none_nat: option_nat ).
thf(func_def_661,type,
none_num: option_num ).
thf(func_def_662,type,
none_P5556105721700978146at_nat: option4927543243414619207at_nat ).
thf(func_def_663,type,
none_real: option_real ).
thf(func_def_664,type,
none_set_nat: option_set_nat ).
thf(func_def_665,type,
none_VEBT_VEBT: option_VEBT_VEBT ).
thf(func_def_666,type,
some_o: $o > option_o ).
thf(func_def_667,type,
some_int: int > option_int ).
thf(func_def_668,type,
some_nat: nat > option_nat ).
thf(func_def_669,type,
some_num: num > option_num ).
thf(func_def_670,type,
some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).
thf(func_def_671,type,
some_VEBT_VEBT: vEBT_VEBT > option_VEBT_VEBT ).
thf(func_def_672,type,
case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).
thf(func_def_673,type,
case_option_num_num: num > ( num > num ) > option_num > num ).
thf(func_def_674,type,
case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).
thf(func_def_675,type,
map_option_num_num: ( num > num ) > option_num > option_num ).
thf(func_def_676,type,
size_option_nat: ( nat > nat ) > option_nat > nat ).
thf(func_def_677,type,
size_option_num: ( num > nat ) > option_num > nat ).
thf(func_def_678,type,
size_o8335143837870341156at_nat: ( product_prod_nat_nat > nat ) > option4927543243414619207at_nat > nat ).
thf(func_def_679,type,
the_nat2: option_nat > nat ).
thf(func_def_680,type,
the_num: option_num > num ).
thf(func_def_681,type,
the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).
thf(func_def_682,type,
order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).
thf(func_def_683,type,
bot_bo5358457235160185703eger_o: ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).
thf(func_def_684,type,
bot_bo1403522918969695512_int_o: ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).
thf(func_def_685,type,
bot_bo3000040243691356879eger_o: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).
thf(func_def_686,type,
bot_bo8662317086119403298_int_o: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).
thf(func_def_687,type,
bot_bot_int_int_o: int > int > $o ).
thf(func_def_688,type,
bot_bot_int_o: int > $o ).
thf(func_def_689,type,
bot_bot_list_nat_o: list_nat > $o ).
thf(func_def_690,type,
bot_bot_nat_nat_o: nat > nat > $o ).
thf(func_def_691,type,
bot_bot_nat_o: nat > $o ).
thf(func_def_692,type,
bot_bo482883023278783056_nat_o: product_prod_nat_nat > $o ).
thf(func_def_693,type,
bot_bot_real_o: real > $o ).
thf(func_def_694,type,
bot_bot_set_nat_o: set_nat > $o ).
thf(func_def_695,type,
bot_bo4199563552545308370d_enat: extended_enat ).
thf(func_def_696,type,
bot_bot_filter_nat: filter_nat ).
thf(func_def_697,type,
bot_bot_nat: nat ).
thf(func_def_698,type,
bot_bot_set_complex: set_complex ).
thf(func_def_699,type,
bot_bot_set_int: set_int ).
thf(func_def_700,type,
bot_bot_set_list_nat: set_list_nat ).
thf(func_def_701,type,
bot_bot_set_nat: set_nat ).
thf(func_def_702,type,
bot_bot_set_num: set_num ).
thf(func_def_703,type,
bot_bo3145834390647256904nteger: set_Pr8056137968301705908nteger ).
thf(func_def_704,type,
bot_bo4508923176915781079nt_int: set_Pr1872883991513573699nt_int ).
thf(func_def_705,type,
bot_bo5443222936135328352nteger: set_Pr1281608226676607948nteger ).
thf(func_def_706,type,
bot_bo572930865798478029nt_int: set_Pr9222295170931077689nt_int ).
thf(func_def_707,type,
bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).
thf(func_def_708,type,
bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).
thf(func_def_709,type,
bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).
thf(func_def_710,type,
bot_bot_set_rat: set_rat ).
thf(func_def_711,type,
bot_bot_set_real: set_real ).
thf(func_def_712,type,
bot_bot_set_set_int: set_set_int ).
thf(func_def_713,type,
bot_bot_set_set_nat: set_set_nat ).
thf(func_def_714,type,
bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).
thf(func_def_715,type,
ord_Least_nat: ( nat > $o ) > nat ).
thf(func_def_716,type,
ord_less_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_717,type,
ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_718,type,
ord_le549003669493604880_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).
thf(func_def_719,type,
ord_less_real_o: ( real > $o ) > ( real > $o ) > $o ).
thf(func_def_720,type,
ord_less_set_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).
thf(func_def_721,type,
ord_le6747313008572928689nteger: code_integer > code_integer > $o ).
thf(func_def_722,type,
ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).
thf(func_def_723,type,
ord_less_int: int > int > $o ).
thf(func_def_724,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_725,type,
ord_less_num: num > num > $o ).
thf(func_def_726,type,
ord_less_rat: rat > rat > $o ).
thf(func_def_727,type,
ord_less_real: real > real > $o ).
thf(func_def_728,type,
ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o ).
thf(func_def_729,type,
ord_less_set_complex: set_complex > set_complex > $o ).
thf(func_def_730,type,
ord_less_set_int: set_int > set_int > $o ).
thf(func_def_731,type,
ord_less_set_nat: set_nat > set_nat > $o ).
thf(func_def_732,type,
ord_less_set_num: set_num > set_num > $o ).
thf(func_def_733,type,
ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_734,type,
ord_le2604355607129572851at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_735,type,
ord_less_set_rat: set_rat > set_rat > $o ).
thf(func_def_736,type,
ord_less_set_real: set_real > set_real > $o ).
thf(func_def_737,type,
ord_less_set_set_int: set_set_int > set_set_int > $o ).
thf(func_def_738,type,
ord_less_set_set_nat: set_set_nat > set_set_nat > $o ).
thf(func_def_739,type,
ord_le3636971675376928563eger_o: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > $o ).
thf(func_def_740,type,
ord_le2124322318746777828_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > $o ).
thf(func_def_741,type,
ord_le4340812435750786203eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > $o ).
thf(func_def_742,type,
ord_le5643404153117327598_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > $o ).
thf(func_def_743,type,
ord_le6741204236512500942_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).
thf(func_def_744,type,
ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_745,type,
ord_le2646555220125990790_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_746,type,
ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_747,type,
ord_le704812498762024988_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).
thf(func_def_748,type,
ord_less_eq_real_o: ( real > $o ) > ( real > $o ) > $o ).
thf(func_def_749,type,
ord_le3964352015994296041_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).
thf(func_def_750,type,
ord_le3102999989581377725nteger: code_integer > code_integer > $o ).
thf(func_def_751,type,
ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).
thf(func_def_752,type,
ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).
thf(func_def_753,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_754,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_755,type,
ord_less_eq_num: num > num > $o ).
thf(func_def_756,type,
ord_less_eq_rat: rat > rat > $o ).
thf(func_def_757,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_758,type,
ord_less_eq_set_o: set_o > set_o > $o ).
thf(func_def_759,type,
ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).
thf(func_def_760,type,
ord_le211207098394363844omplex: set_complex > set_complex > $o ).
thf(func_def_761,type,
ord_less_eq_set_int: set_int > set_int > $o ).
thf(func_def_762,type,
ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o ).
thf(func_def_763,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_764,type,
ord_less_eq_set_num: set_num > set_num > $o ).
thf(func_def_765,type,
ord_le3216752416896350996nteger: set_Pr8056137968301705908nteger > set_Pr8056137968301705908nteger > $o ).
thf(func_def_766,type,
ord_le135402666524580259nt_int: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > $o ).
thf(func_def_767,type,
ord_le653643898420964396nteger: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > $o ).
thf(func_def_768,type,
ord_le8725513860283290265nt_int: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > $o ).
thf(func_def_769,type,
ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_770,type,
ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_771,type,
ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_772,type,
ord_less_eq_set_rat: set_rat > set_rat > $o ).
thf(func_def_773,type,
ord_less_eq_set_real: set_real > set_real > $o ).
thf(func_def_774,type,
ord_le4403425263959731960et_int: set_set_int > set_set_int > $o ).
thf(func_def_775,type,
ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).
thf(func_def_776,type,
ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).
thf(func_def_777,type,
ord_max_Code_integer: code_integer > code_integer > code_integer ).
thf(func_def_778,type,
ord_ma741700101516333627d_enat: extended_enat > extended_enat > extended_enat ).
thf(func_def_779,type,
ord_max_int: int > int > int ).
thf(func_def_780,type,
ord_max_nat: nat > nat > nat ).
thf(func_def_781,type,
ord_max_num: num > num > num ).
thf(func_def_782,type,
ord_max_rat: rat > rat > rat ).
thf(func_def_783,type,
ord_max_real: real > real > real ).
thf(func_def_784,type,
ord_max_set_int: set_int > set_int > set_int ).
thf(func_def_785,type,
ord_max_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_786,type,
ord_ma7524802468073614006at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_787,type,
ord_max_set_real: set_real > set_real > set_real ).
thf(func_def_788,type,
ord_min_nat: nat > nat > nat ).
thf(func_def_789,type,
order_Greatest_nat: ( nat > $o ) > nat ).
thf(func_def_790,type,
order_mono_nat_nat: ( nat > nat ) > $o ).
thf(func_def_791,type,
order_5726023648592871131at_nat: ( nat > nat ) > $o ).
thf(func_def_792,type,
order_7092887310737990675l_real: ( real > real ) > $o ).
thf(func_def_793,type,
ordering_top_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > $o ).
thf(func_def_794,type,
top_top_set_int: set_int ).
thf(func_def_795,type,
top_top_set_nat: set_nat ).
thf(func_def_796,type,
top_to1996260823553986621t_unit: set_Product_unit ).
thf(func_def_797,type,
top_top_set_real: set_real ).
thf(func_def_798,type,
power_8256067586552552935nteger: code_integer > nat > code_integer ).
thf(func_def_799,type,
power_power_complex: complex > nat > complex ).
thf(func_def_800,type,
power_power_int: int > nat > int ).
thf(func_def_801,type,
power_power_nat: nat > nat > nat ).
thf(func_def_802,type,
power_power_rat: rat > nat > rat ).
thf(func_def_803,type,
power_power_real: real > nat > real ).
thf(func_def_804,type,
produc6137756002093451184nteger: ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ).
thf(func_def_805,type,
produc4305682042979456191nt_int: ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ).
thf(func_def_806,type,
produc4035269172776083154on_nat: ( nat > nat > $o ) > produc4953844613479565601on_nat > produc2233624965454879586on_nat ).
thf(func_def_807,type,
produc8929957630744042906on_nat: ( nat > nat > nat ) > produc4953844613479565601on_nat > produc8306885398267862888on_nat ).
thf(func_def_808,type,
produc3576312749637752826on_num: ( num > num > $o ) > produc3447558737645232053on_num > produc7036089656553540234on_num ).
thf(func_def_809,type,
produc5778274026573060048on_num: ( num > num > num ) > produc3447558737645232053on_num > produc1193250871479095198on_num ).
thf(func_def_810,type,
produc8603105652947943368nteger: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ).
thf(func_def_811,type,
produc5700946648718959541nt_int: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ).
thf(func_def_812,type,
produc3994169339658061776at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc6121120109295599847at_nat > produc5491161045314408544at_nat ).
thf(func_def_813,type,
produc2899441246263362727at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > produc6121120109295599847at_nat > produc5542196010084753463at_nat ).
thf(func_def_814,type,
product_Pair_o_o: $o > $o > product_prod_o_o ).
thf(func_def_815,type,
product_Pair_o_int: $o > int > product_prod_o_int ).
thf(func_def_816,type,
product_Pair_o_nat: $o > nat > product_prod_o_nat ).
thf(func_def_817,type,
product_Pair_o_real: $o > real > product_prod_o_real ).
thf(func_def_818,type,
produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).
thf(func_def_819,type,
produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).
thf(func_def_820,type,
produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_821,type,
product_Pair_int_int: int > int > product_prod_int_int ).
thf(func_def_822,type,
produc801115645435158769t_real: int > real > produc679980390762269497t_real ).
thf(func_def_823,type,
produc3329399203697025711T_VEBT: int > vEBT_VEBT > produc1531783533982839933T_VEBT ).
thf(func_def_824,type,
produc8435520187683070743list_o: list_o > list_o > produc7102631898165422375list_o ).
thf(func_def_825,type,
produc364263696895485585st_int: list_int > list_int > produc1186641810826059865st_int ).
thf(func_def_826,type,
produc2694037385005941721st_nat: list_nat > list_nat > produc1828647624359046049st_nat ).
thf(func_def_827,type,
produc3897820843166775703T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > produc9211091688327510695T_VEBT ).
thf(func_def_828,type,
product_Pair_nat_o: nat > $o > product_prod_nat_o ).
thf(func_def_829,type,
product_Pair_nat_int: nat > int > product_prod_nat_int ).
thf(func_def_830,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_831,type,
product_Pair_nat_num: nat > num > product_prod_nat_num ).
thf(func_def_832,type,
produc599794634098209291T_VEBT: nat > vEBT_VEBT > produc8025551001238799321T_VEBT ).
thf(func_def_833,type,
product_Pair_num_num: num > num > product_prod_num_num ).
thf(func_def_834,type,
produc5098337634421038937on_nat: option_nat > option_nat > produc4953844613479565601on_nat ).
thf(func_def_835,type,
produc8585076106096196333on_num: option_num > option_num > produc3447558737645232053on_num ).
thf(func_def_836,type,
produc488173922507101015at_nat: option4927543243414619207at_nat > option4927543243414619207at_nat > produc6121120109295599847at_nat ).
thf(func_def_837,type,
produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).
thf(func_def_838,type,
product_Pair_real_o: real > $o > product_prod_real_o ).
thf(func_def_839,type,
produc3179012173361985393al_int: real > int > produc8786904178792722361al_int ).
thf(func_def_840,type,
produc3181502643871035669al_nat: real > nat > produc3741383161447143261al_nat ).
thf(func_def_841,type,
produc4511245868158468465l_real: real > real > produc2422161461964618553l_real ).
thf(func_def_842,type,
produc6931449550656315951T_VEBT: real > vEBT_VEBT > produc3757001726724277373T_VEBT ).
thf(func_def_843,type,
produc4532415448927165861et_nat: set_nat > set_nat > produc7819656566062154093et_nat ).
thf(func_def_844,type,
produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ).
thf(func_def_845,type,
produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ).
thf(func_def_846,type,
produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).
thf(func_def_847,type,
produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).
thf(func_def_848,type,
produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).
thf(func_def_849,type,
produc8117437818029410057T_real: vEBT_VEBT > real > produc5170161368751668367T_real ).
thf(func_def_850,type,
produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).
thf(func_def_851,type,
produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).
thf(func_def_852,type,
produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_853,type,
produc8678311845419106900er_nat: ( code_integer > nat ) > ( code_integer > nat ) > produc8923325533196201883nteger > product_prod_nat_nat ).
thf(func_def_854,type,
produc127349428274296955eger_o: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8763457246119570046nteger > $o ).
thf(func_def_855,type,
produc3906647086178084059nteger: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ) > produc8763457246119570046nteger > produc8763457246119570046nteger ).
thf(func_def_856,type,
produc8604463032469472703et_int: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > produc8763457246119570046nteger > set_int ).
thf(func_def_857,type,
produc3558942015123893603et_nat: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc8763457246119570046nteger > set_nat ).
thf(func_def_858,type,
produc815715089573277247t_real: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > produc8763457246119570046nteger > set_real ).
thf(func_def_859,type,
produc2558449545302689196_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > $o ).
thf(func_def_860,type,
produc5122537100556696953nt_int: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ) > produc7773217078559923341nt_int > produc7773217078559923341nt_int ).
thf(func_def_861,type,
produc8289552606927098482et_nat: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > produc7773217078559923341nt_int > set_nat ).
thf(func_def_862,type,
produc8709739885379107790t_real: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_real ) > produc7773217078559923341nt_int > set_real ).
thf(func_def_863,type,
produc6253627499356882019eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > $o ).
thf(func_def_864,type,
produc6512950862096126219nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ) > produc1908205239877642774nteger > produc1908205239877642774nteger ).
thf(func_def_865,type,
produc1573362020775583542_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > $o ).
thf(func_def_866,type,
produc8492565224438309093nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ) > produc2285326912895808259nt_int > produc2285326912895808259nt_int ).
thf(func_def_867,type,
produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).
thf(func_def_868,type,
produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).
thf(func_def_869,type,
produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).
thf(func_def_870,type,
produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_871,type,
produc6771430404735790350plex_o: ( complex > complex > $o ) > produc4411394909380815293omplex > $o ).
thf(func_def_872,type,
produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).
thf(func_def_873,type,
produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_874,type,
produc73460835934605544et_int: ( int > int > set_int ) > product_prod_int_int > set_int ).
thf(func_def_875,type,
produc4251311855443802252et_nat: ( int > int > set_nat ) > product_prod_int_int > set_nat ).
thf(func_def_876,type,
produc1656060378719767003at_nat: ( int > int > set_Pr1261947904930325089at_nat ) > product_prod_int_int > set_Pr1261947904930325089at_nat ).
thf(func_def_877,type,
produc6452406959799940328t_real: ( int > int > set_real ) > product_prod_int_int > set_real ).
thf(func_def_878,type,
produc5233655623923918146et_nat: ( int > int > set_set_nat ) > product_prod_int_int > set_set_nat ).
thf(func_def_879,type,
produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_880,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_881,type,
produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_882,type,
produc1917071388513777916omplex: ( nat > nat > complex ) > product_prod_nat_nat > complex ).
thf(func_def_883,type,
produc2676513652042109336d_enat: ( nat > nat > extended_enat ) > product_prod_nat_nat > extended_enat ).
thf(func_def_884,type,
produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).
thf(func_def_885,type,
produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_886,type,
produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_887,type,
produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).
thf(func_def_888,type,
produc1703576794950452218t_real: ( nat > nat > real ) > product_prod_nat_nat > real ).
thf(func_def_889,type,
produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).
thf(func_def_890,type,
produc5414030515140494994real_o: ( real > real > $o ) > produc2422161461964618553l_real > $o ).
thf(func_def_891,type,
product_fst_int_int: product_prod_int_int > int ).
thf(func_def_892,type,
product_fst_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_893,type,
product_snd_int_int: product_prod_int_int > int ).
thf(func_def_894,type,
product_snd_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_895,type,
abs_Rat: product_prod_int_int > rat ).
thf(func_def_896,type,
fract: int > int > rat ).
thf(func_def_897,type,
frct: product_prod_int_int > rat ).
thf(func_def_898,type,
rep_Rat: rat > product_prod_int_int ).
thf(func_def_899,type,
field_5140801741446780682s_real: set_real ).
thf(func_def_900,type,
normalize: product_prod_int_int > product_prod_int_int ).
thf(func_def_901,type,
of_int: int > rat ).
thf(func_def_902,type,
pcr_rat: product_prod_int_int > rat > $o ).
thf(func_def_903,type,
positive: rat > $o ).
thf(func_def_904,type,
quotient_of: rat > product_prod_int_int ).
thf(func_def_905,type,
ratrel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_906,type,
real2: ( nat > rat ) > real ).
thf(func_def_907,type,
cauchy: ( nat > rat ) > $o ).
thf(func_def_908,type,
pcr_real: ( nat > rat ) > real > $o ).
thf(func_def_909,type,
positive2: real > $o ).
thf(func_def_910,type,
realrel: ( nat > rat ) > ( nat > rat ) > $o ).
thf(func_def_911,type,
rep_real: real > nat > rat ).
thf(func_def_912,type,
vanishes: ( nat > rat ) > $o ).
thf(func_def_913,type,
real_V3694042436643373181omplex: complex > complex > real ).
thf(func_def_914,type,
real_V975177566351809787t_real: real > real > real ).
thf(func_def_915,type,
real_V1022390504157884413omplex: complex > real ).
thf(func_def_916,type,
real_V7735802525324610683m_real: real > real ).
thf(func_def_917,type,
real_V4546457046886955230omplex: real > complex ).
thf(func_def_918,type,
real_V2046097035970521341omplex: real > complex > complex ).
thf(func_def_919,type,
real_V1485227260804924795R_real: real > real > real ).
thf(func_def_920,type,
field_nat: set_Pr1261947904930325089at_nat > set_nat ).
thf(func_def_921,type,
algebr932160517623751201me_int: int > int > $o ).
thf(func_def_922,type,
algebr934650988132801477me_nat: nat > nat > $o ).
thf(func_def_923,type,
divide6298287555418463151nteger: code_integer > code_integer > code_integer ).
thf(func_def_924,type,
divide1717551699836669952omplex: complex > complex > complex ).
thf(func_def_925,type,
divide_divide_int: int > int > int ).
thf(func_def_926,type,
divide_divide_nat: nat > nat > nat ).
thf(func_def_927,type,
divide_divide_rat: rat > rat > rat ).
thf(func_def_928,type,
divide_divide_real: real > real > real ).
thf(func_def_929,type,
dvd_dvd_Code_integer: code_integer > code_integer > $o ).
thf(func_def_930,type,
dvd_dvd_complex: complex > complex > $o ).
thf(func_def_931,type,
dvd_dvd_int: int > int > $o ).
thf(func_def_932,type,
dvd_dvd_nat: nat > nat > $o ).
thf(func_def_933,type,
dvd_dvd_rat: rat > rat > $o ).
thf(func_def_934,type,
dvd_dvd_real: real > real > $o ).
thf(func_def_935,type,
modulo364778990260209775nteger: code_integer > code_integer > code_integer ).
thf(func_def_936,type,
modulo_modulo_int: int > int > int ).
thf(func_def_937,type,
modulo_modulo_nat: nat > nat > nat ).
thf(func_def_938,type,
zero_n356916108424825756nteger: $o > code_integer ).
thf(func_def_939,type,
zero_n1201886186963655149omplex: $o > complex ).
thf(func_def_940,type,
zero_n2684676970156552555ol_int: $o > int ).
thf(func_def_941,type,
zero_n2687167440665602831ol_nat: $o > nat ).
thf(func_def_942,type,
zero_n2052037380579107095ol_rat: $o > rat ).
thf(func_def_943,type,
zero_n3304061248610475627l_real: $o > real ).
thf(func_def_944,type,
suminf_complex: ( nat > complex ) > complex ).
thf(func_def_945,type,
suminf_int: ( nat > int ) > int ).
thf(func_def_946,type,
suminf_nat: ( nat > nat ) > nat ).
thf(func_def_947,type,
suminf_real: ( nat > real ) > real ).
thf(func_def_948,type,
summable_complex: ( nat > complex ) > $o ).
thf(func_def_949,type,
summable_int: ( nat > int ) > $o ).
thf(func_def_950,type,
summable_nat: ( nat > nat ) > $o ).
thf(func_def_951,type,
summable_real: ( nat > real ) > $o ).
thf(func_def_952,type,
sums_complex: ( nat > complex ) > complex > $o ).
thf(func_def_953,type,
sums_int: ( nat > int ) > int > $o ).
thf(func_def_954,type,
sums_nat: ( nat > nat ) > nat > $o ).
thf(func_def_955,type,
sums_real: ( nat > real ) > real > $o ).
thf(func_def_956,type,
collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).
thf(func_def_957,type,
collect_complex: ( complex > $o ) > set_complex ).
thf(func_def_958,type,
collect_int: ( int > $o ) > set_int ).
thf(func_def_959,type,
collect_list_o: ( list_o > $o ) > set_list_o ).
thf(func_def_960,type,
collect_list_complex: ( list_complex > $o ) > set_list_complex ).
thf(func_def_961,type,
collect_list_int: ( list_int > $o ) > set_list_int ).
thf(func_def_962,type,
collect_list_nat: ( list_nat > $o ) > set_list_nat ).
thf(func_def_963,type,
collec3343600615725829874at_nat: ( list_P6011104703257516679at_nat > $o ) > set_li5450038453877631591at_nat ).
thf(func_def_964,type,
collec5608196760682091941T_VEBT: ( list_VEBT_VEBT > $o ) > set_list_VEBT_VEBT ).
thf(func_def_965,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_966,type,
collect_num: ( num > $o ) > set_num ).
thf(func_def_967,type,
collec8663557070575231912omplex: ( produc4411394909380815293omplex > $o ) > set_Pr5085853215250843933omplex ).
thf(func_def_968,type,
collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).
thf(func_def_969,type,
collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_970,type,
collec3799799289383736868l_real: ( produc2422161461964618553l_real > $o ) > set_Pr6218003697084177305l_real ).
thf(func_def_971,type,
collec6321179662152712658at_nat: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ).
thf(func_def_972,type,
collect_rat: ( rat > $o ) > set_rat ).
thf(func_def_973,type,
collect_real: ( real > $o ) > set_real ).
thf(func_def_974,type,
collect_set_complex: ( set_complex > $o ) > set_set_complex ).
thf(func_def_975,type,
collect_set_int: ( set_int > $o ) > set_set_int ).
thf(func_def_976,type,
collect_set_nat: ( set_nat > $o ) > set_set_nat ).
thf(func_def_977,type,
collec5514110066124741708at_nat: ( set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat ).
thf(func_def_978,type,
pow_nat: set_nat > set_set_nat ).
thf(func_def_979,type,
image_int_int: ( int > int ) > set_int > set_int ).
thf(func_def_980,type,
image_int_nat: ( int > nat ) > set_int > set_nat ).
thf(func_def_981,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_982,type,
image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).
thf(func_def_983,type,
image_5971271580939081552omplex: ( real > filter6041513312241820739omplex ) > set_real > set_fi4554929511873752355omplex ).
thf(func_def_984,type,
image_2178119161166701260l_real: ( real > filter2146258269922977983l_real ) > set_real > set_fi7789364187291644575l_real ).
thf(func_def_985,type,
image_real_real: ( real > real ) > set_real > set_real ).
thf(func_def_986,type,
insert_complex: complex > set_complex > set_complex ).
thf(func_def_987,type,
insert_int: int > set_int > set_int ).
thf(func_def_988,type,
insert_list_nat: list_nat > set_list_nat > set_list_nat ).
thf(func_def_989,type,
insert_nat: nat > set_nat > set_nat ).
thf(func_def_990,type,
insert_num: num > set_num > set_num ).
thf(func_def_991,type,
insert5033312907999012233nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).
thf(func_def_992,type,
insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_993,type,
insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_994,type,
insert_rat: rat > set_rat > set_rat ).
thf(func_def_995,type,
insert_real: real > set_real > set_real ).
thf(func_def_996,type,
insert_set_nat: set_nat > set_set_nat > set_set_nat ).
thf(func_def_997,type,
insert_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).
thf(func_def_998,type,
is_singleton_int: set_int > $o ).
thf(func_def_999,type,
is_singleton_nat: set_nat > $o ).
thf(func_def_1000,type,
is_sin2850979758926227957at_nat: set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1001,type,
is_sin2937591304547752795at_nat: set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1002,type,
is_singleton_real: set_real > $o ).
thf(func_def_1003,type,
is_singleton_set_nat: set_set_nat > $o ).
thf(func_def_1004,type,
the_elem_int: set_int > int ).
thf(func_def_1005,type,
the_elem_nat: set_nat > nat ).
thf(func_def_1006,type,
the_el8326832613380209454nt_int: set_Pr958786334691620121nt_int > product_prod_int_int ).
thf(func_def_1007,type,
the_el2281957884133575798at_nat: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_1008,type,
the_el221668144340439132at_nat: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_1009,type,
the_elem_real: set_real > real ).
thf(func_def_1010,type,
vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_1011,type,
set_fo1517530859248394432omplex: ( nat > complex > complex ) > nat > nat > complex > complex ).
thf(func_def_1012,type,
set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).
thf(func_def_1013,type,
set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).
thf(func_def_1014,type,
set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).
thf(func_def_1015,type,
set_fo3111899725591712190t_real: ( nat > real > real ) > nat > nat > real > real ).
thf(func_def_1016,type,
set_or1266510415728281911st_int: int > int > set_int ).
thf(func_def_1017,type,
set_or1269000886237332187st_nat: nat > nat > set_nat ).
thf(func_def_1018,type,
set_or7049704709247886629st_num: num > num > set_num ).
thf(func_def_1019,type,
set_or633870826150836451st_rat: rat > rat > set_rat ).
thf(func_def_1020,type,
set_or1222579329274155063t_real: real > real > set_real ).
thf(func_def_1021,type,
set_or370866239135849197et_int: set_int > set_int > set_set_int ).
thf(func_def_1022,type,
set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat ).
thf(func_def_1023,type,
set_or4662586982721622107an_int: int > int > set_int ).
thf(func_def_1024,type,
set_or4665077453230672383an_nat: nat > nat > set_nat ).
thf(func_def_1025,type,
set_or1222409239386451017an_num: num > num > set_num ).
thf(func_def_1026,type,
set_or4029947393144176647an_rat: rat > rat > set_rat ).
thf(func_def_1027,type,
set_or66887138388493659n_real: real > real > set_real ).
thf(func_def_1028,type,
set_or8585797421378605585et_int: set_int > set_int > set_set_int ).
thf(func_def_1029,type,
set_or3540276404033026485et_nat: set_nat > set_nat > set_set_nat ).
thf(func_def_1030,type,
set_ord_atLeast_nat: nat > set_nat ).
thf(func_def_1031,type,
set_ord_atMost_int: int > set_int ).
thf(func_def_1032,type,
set_ord_atMost_nat: nat > set_nat ).
thf(func_def_1033,type,
set_ord_atMost_num: num > set_num ).
thf(func_def_1034,type,
set_ord_atMost_rat: rat > set_rat ).
thf(func_def_1035,type,
set_ord_atMost_real: real > set_real ).
thf(func_def_1036,type,
set_or58775011639299419et_int: set_int > set_set_int ).
thf(func_def_1037,type,
set_or4236626031148496127et_nat: set_nat > set_set_nat ).
thf(func_def_1038,type,
set_or6656581121297822940st_int: int > int > set_int ).
thf(func_def_1039,type,
set_or6659071591806873216st_nat: nat > nat > set_nat ).
thf(func_def_1040,type,
set_or5832277885323065728an_int: int > int > set_int ).
thf(func_def_1041,type,
set_or5834768355832116004an_nat: nat > nat > set_nat ).
thf(func_def_1042,type,
set_or1633881224788618240n_real: real > real > set_real ).
thf(func_def_1043,type,
set_or1210151606488870762an_nat: nat > set_nat ).
thf(func_def_1044,type,
set_or5849166863359141190n_real: real > set_real ).
thf(func_def_1045,type,
set_ord_lessThan_int: int > set_int ).
thf(func_def_1046,type,
set_ord_lessThan_nat: nat > set_nat ).
thf(func_def_1047,type,
set_ord_lessThan_num: num > set_num ).
thf(func_def_1048,type,
set_ord_lessThan_rat: rat > set_rat ).
thf(func_def_1049,type,
set_or5984915006950818249n_real: real > set_real ).
thf(func_def_1050,type,
set_or890127255671739683et_nat: set_nat > set_set_nat ).
thf(func_def_1051,type,
topolo4422821103128117721l_real: filter_real > ( real > real ) > $o ).
thf(func_def_1052,type,
topolo5044208981011980120l_real: set_real > ( real > real ) > $o ).
thf(func_def_1053,type,
topolo6980174941875973593q_real: ( nat > real ) > $o ).
thf(func_def_1054,type,
topolo2177554685111907308n_real: real > set_real > filter_real ).
thf(func_def_1055,type,
topolo2815343760600316023s_real: real > filter_real ).
thf(func_def_1056,type,
topolo6517432010174082258omplex: ( nat > complex ) > $o ).
thf(func_def_1057,type,
topolo4055970368930404560y_real: ( nat > real ) > $o ).
thf(func_def_1058,type,
topolo896644834953643431omplex: filter6041513312241820739omplex ).
thf(func_def_1059,type,
topolo1511823702728130853y_real: filter2146258269922977983l_real ).
thf(func_def_1060,type,
arccos: real > real ).
thf(func_def_1061,type,
arcosh_real: real > real ).
thf(func_def_1062,type,
arcsin: real > real ).
thf(func_def_1063,type,
arctan: real > real ).
thf(func_def_1064,type,
arsinh_real: real > real ).
thf(func_def_1065,type,
artanh_real: real > real ).
thf(func_def_1066,type,
cos_complex: complex > complex ).
thf(func_def_1067,type,
cos_real: real > real ).
thf(func_def_1068,type,
cos_coeff: nat > real ).
thf(func_def_1069,type,
cosh_complex: complex > complex ).
thf(func_def_1070,type,
cosh_real: real > real ).
thf(func_def_1071,type,
cot_complex: complex > complex ).
thf(func_def_1072,type,
cot_real: real > real ).
thf(func_def_1073,type,
diffs_complex: ( nat > complex ) > nat > complex ).
thf(func_def_1074,type,
diffs_real: ( nat > real ) > nat > real ).
thf(func_def_1075,type,
exp_complex: complex > complex ).
thf(func_def_1076,type,
exp_real: real > real ).
thf(func_def_1077,type,
ln_ln_real: real > real ).
thf(func_def_1078,type,
log: real > real > real ).
thf(func_def_1079,type,
pi: real ).
thf(func_def_1080,type,
powr_real: real > real > real ).
thf(func_def_1081,type,
sin_complex: complex > complex ).
thf(func_def_1082,type,
sin_real: real > real ).
thf(func_def_1083,type,
sin_coeff: nat > real ).
thf(func_def_1084,type,
sinh_complex: complex > complex ).
thf(func_def_1085,type,
sinh_real: real > real ).
thf(func_def_1086,type,
tan_complex: complex > complex ).
thf(func_def_1087,type,
tan_real: real > real ).
thf(func_def_1088,type,
tanh_complex: complex > complex ).
thf(func_def_1089,type,
tanh_real: real > real ).
thf(func_def_1090,type,
transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1091,type,
transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1092,type,
vEBT_Leaf: $o > $o > vEBT_VEBT ).
thf(func_def_1093,type,
vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1094,type,
vEBT_size_VEBT: vEBT_VEBT > nat ).
thf(func_def_1095,type,
vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).
thf(func_def_1096,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(func_def_1097,type,
vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).
thf(func_def_1098,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(func_def_1099,type,
vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).
thf(func_def_1100,type,
vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_1101,type,
vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).
thf(func_def_1102,type,
vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_1103,type,
vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).
thf(func_def_1104,type,
vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_1105,type,
vEBT_invar_vebt: vEBT_VEBT > nat > $o ).
thf(func_def_1106,type,
vEBT_set_vebt: vEBT_VEBT > set_nat ).
thf(func_def_1107,type,
vEBT_vebt_buildup: nat > vEBT_VEBT ).
thf(func_def_1108,type,
vEBT_v4011308405150292612up_rel: nat > nat > $o ).
thf(func_def_1109,type,
vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_1110,type,
vEBT_vebt_delete_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_1111,type,
vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_1112,type,
vEBT_vebt_insert_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_1113,type,
vEBT_VEBT_bit_concat: nat > nat > nat > nat ).
thf(func_def_1114,type,
vEBT_VEBT_minNull: vEBT_VEBT > $o ).
thf(func_def_1115,type,
vEBT_V6963167321098673237ll_rel: vEBT_VEBT > vEBT_VEBT > $o ).
thf(func_def_1116,type,
vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).
thf(func_def_1117,type,
vEBT_vebt_member: vEBT_VEBT > nat > $o ).
thf(func_def_1118,type,
vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_1119,type,
vEBT_VEBT_add: option_nat > option_nat > option_nat ).
thf(func_def_1120,type,
vEBT_VEBT_greater: option_nat > option_nat > $o ).
thf(func_def_1121,type,
vEBT_VEBT_less: option_nat > option_nat > $o ).
thf(func_def_1122,type,
vEBT_VEBT_lesseq: option_nat > option_nat > $o ).
thf(func_def_1123,type,
vEBT_VEBT_max_in_set: set_nat > nat > $o ).
thf(func_def_1124,type,
vEBT_VEBT_min_in_set: set_nat > nat > $o ).
thf(func_def_1125,type,
vEBT_VEBT_mul: option_nat > option_nat > option_nat ).
thf(func_def_1126,type,
vEBT_V4262088993061758097ft_nat: ( nat > nat > nat ) > option_nat > option_nat > option_nat ).
thf(func_def_1127,type,
vEBT_V819420779217536731ft_num: ( num > num > num ) > option_num > option_num > option_num ).
thf(func_def_1128,type,
vEBT_V1502963449132264192at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > option4927543243414619207at_nat > option4927543243414619207at_nat ).
thf(func_def_1129,type,
vEBT_VEBT_power: option_nat > option_nat > option_nat ).
thf(func_def_1130,type,
vEBT_vebt_maxt: vEBT_VEBT > option_nat ).
thf(func_def_1131,type,
vEBT_vebt_maxt_rel: vEBT_VEBT > vEBT_VEBT > $o ).
thf(func_def_1132,type,
vEBT_vebt_mint: vEBT_VEBT > option_nat ).
thf(func_def_1133,type,
vEBT_vebt_mint_rel: vEBT_VEBT > vEBT_VEBT > $o ).
thf(func_def_1134,type,
vEBT_is_pred_in_set: set_nat > nat > nat > $o ).
thf(func_def_1135,type,
vEBT_vebt_pred: vEBT_VEBT > nat > option_nat ).
thf(func_def_1136,type,
vEBT_vebt_pred_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_1137,type,
vEBT_is_succ_in_set: set_nat > nat > nat > $o ).
thf(func_def_1138,type,
vEBT_vebt_succ: vEBT_VEBT > nat > option_nat ).
thf(func_def_1139,type,
vEBT_vebt_succ_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(func_def_1140,type,
accp_nat: ( nat > nat > $o ) > nat > $o ).
thf(func_def_1141,type,
accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).
thf(func_def_1142,type,
accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_1143,type,
accp_P3113834385874906142um_num: ( product_prod_num_num > product_prod_num_num > $o ) > product_prod_num_num > $o ).
thf(func_def_1144,type,
accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).
thf(func_def_1145,type,
accp_VEBT_VEBT: ( vEBT_VEBT > vEBT_VEBT > $o ) > vEBT_VEBT > $o ).
thf(func_def_1146,type,
max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1147,type,
min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1148,type,
pred_nat: set_Pr1261947904930325089at_nat ).
thf(func_def_1149,type,
wf_nat: set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1150,type,
fChoice_real: ( real > $o ) > real ).
thf(func_def_1151,type,
member1535805642427569193e_term: ( code_integer > option6357759511663192854e_term ) > set_Co9149898834107579976e_term > $o ).
thf(func_def_1152,type,
member8845023287901829240e_term: ( int > option6357759511663192854e_term ) > set_in3461395444621081367e_term > $o ).
thf(func_def_1153,type,
member4242434998011752849e_term: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > set_Pr7604974323444597168e_term > $o ).
thf(func_def_1154,type,
member3222579708246209666e_term: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > set_Pr3642885161833720865e_term > $o ).
thf(func_def_1155,type,
member_o: $o > set_o > $o ).
thf(func_def_1156,type,
member_complex: complex > set_complex > $o ).
thf(func_def_1157,type,
member_int: int > set_int > $o ).
thf(func_def_1158,type,
member_list_o: list_o > set_list_o > $o ).
thf(func_def_1159,type,
member_list_int: list_int > set_list_int > $o ).
thf(func_def_1160,type,
member_list_nat: list_nat > set_list_nat > $o ).
thf(func_def_1161,type,
member2936631157270082147T_VEBT: list_VEBT_VEBT > set_list_VEBT_VEBT > $o ).
thf(func_def_1162,type,
member_nat: nat > set_nat > $o ).
thf(func_def_1163,type,
member_num: num > set_num > $o ).
thf(func_def_1164,type,
member3068662437193594005nteger: produc8763457246119570046nteger > set_Pr8056137968301705908nteger > $o ).
thf(func_def_1165,type,
member7034335876925520548nt_int: produc7773217078559923341nt_int > set_Pr1872883991513573699nt_int > $o ).
thf(func_def_1166,type,
member4164122664394876845nteger: produc1908205239877642774nteger > set_Pr1281608226676607948nteger > $o ).
thf(func_def_1167,type,
member7618704894036264090nt_int: produc2285326912895808259nt_int > set_Pr9222295170931077689nt_int > $o ).
thf(func_def_1168,type,
member7466972457876170832od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).
thf(func_def_1169,type,
member7847949116333733898_o_int: product_prod_o_int > set_Pr8834758594704517033_o_int > $o ).
thf(func_def_1170,type,
member2802428098988154798_o_nat: product_prod_o_nat > set_Pr2101469702781467981_o_nat > $o ).
thf(func_def_1171,type,
member7400031367953476362o_real: product_prod_o_real > set_Pr6573716822653411497o_real > $o ).
thf(func_def_1172,type,
member5477980866518848620T_VEBT: produc2504756804600209347T_VEBT > set_Pr7543698050874017315T_VEBT > $o ).
thf(func_def_1173,type,
member157494554546826820nteger: produc8923325533196201883nteger > set_Pr4811707699266497531nteger > $o ).
thf(func_def_1174,type,
member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_1175,type,
member2744130022092475746t_real: produc679980390762269497t_real > set_Pr3538720872664544793t_real > $o ).
thf(func_def_1176,type,
member2056185340421749780T_VEBT: produc1531783533982839933T_VEBT > set_Pr8044002425091019955T_VEBT > $o ).
thf(func_def_1177,type,
member4159035015898711888list_o: produc7102631898165422375list_o > set_Pr6227168374412355847list_o > $o ).
thf(func_def_1178,type,
member6698963635872716290st_int: produc1186641810826059865st_int > set_Pr765067013931698361st_int > $o ).
thf(func_def_1179,type,
member7340969449405702474st_nat: produc1828647624359046049st_nat > set_Pr3451248702717554689st_nat > $o ).
thf(func_def_1180,type,
member4439316823752958928T_VEBT: produc9211091688327510695T_VEBT > set_Pr1916528119006554503T_VEBT > $o ).
thf(func_def_1181,type,
member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1182,type,
member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_1183,type,
member772602641336174712real_o: product_prod_real_o > set_Pr4936984352647145239real_o > $o ).
thf(func_def_1184,type,
member1627681773268152802al_int: produc8786904178792722361al_int > set_Pr1019928272762051225al_int > $o ).
thf(func_def_1185,type,
member5805532792777349510al_nat: produc3741383161447143261al_nat > set_Pr3510011417693777981al_nat > $o ).
thf(func_def_1186,type,
member7849222048561428706l_real: produc2422161461964618553l_real > set_Pr6218003697084177305l_real > $o ).
thf(func_def_1187,type,
member7262085504369356948T_VEBT: produc3757001726724277373T_VEBT > set_Pr6019664923565264691T_VEBT > $o ).
thf(func_def_1188,type,
member8277197624267554838et_nat: produc7819656566062154093et_nat > set_Pr5488025237498180813et_nat > $o ).
thf(func_def_1189,type,
member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1190,type,
member3307348790968139188VEBT_o: produc334124729049499915VEBT_o > set_Pr3175402225741728619VEBT_o > $o ).
thf(func_def_1191,type,
member5419026705395827622BT_int: produc4894624898956917775BT_int > set_Pr5066593544530342725BT_int > $o ).
thf(func_def_1192,type,
member373505688050248522BT_nat: produc9072475918466114483BT_nat > set_Pr7556676689462069481BT_nat > $o ).
thf(func_def_1193,type,
member8675245146396747942T_real: produc5170161368751668367T_real > set_Pr7765410600122031685T_real > $o ).
thf(func_def_1194,type,
member568628332442017744T_VEBT: produc8243902056947475879T_VEBT > set_Pr6192946355708809607T_VEBT > $o ).
thf(func_def_1195,type,
member_rat: rat > set_rat > $o ).
thf(func_def_1196,type,
member_real: real > set_real > $o ).
thf(func_def_1197,type,
member_set_int: set_int > set_set_int > $o ).
thf(func_def_1198,type,
member_set_nat: set_nat > set_set_nat > $o ).
thf(func_def_1199,type,
member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).
thf(func_def_1200,type,
deg: nat ).
thf(func_def_1201,type,
m: nat ).
thf(func_def_1202,type,
ma: nat ).
thf(func_def_1203,type,
maxi: nat ).
thf(func_def_1204,type,
mi: nat ).
thf(func_def_1205,type,
na: nat ).
thf(func_def_1206,type,
summary: vEBT_VEBT ).
thf(func_def_1207,type,
treeList: list_VEBT_VEBT ).
thf(func_def_1208,type,
xa: nat ).
thf(func_def_1209,type,
ya: nat ).
thf(func_def_1213,type,
vAND: $o > $o > $o ).
thf(func_def_1214,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_1215,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_1216,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_1217,type,
vNOT: $o > $o ).
thf(func_def_1218,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_1219,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_1220,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_1221,type,
vOR: $o > $o > $o ).
thf(func_def_1222,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_1223,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_1224,type,
vIMP: $o > $o > $o ).
thf(func_def_1225,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_1226,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_1227,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_1228,type,
sP0: rat > rat > rat > $o ).
thf(func_def_1229,type,
sP1: nat > nat > list_VEBT_VEBT > nat > nat > $o ).
thf(func_def_1230,type,
sP2: int > int > int > $o ).
thf(func_def_1231,type,
sP3: nat > nat > nat > $o ).
thf(func_def_1232,type,
sP4: list_VEBT_VEBT > nat > nat > nat > nat > $o ).
thf(func_def_1233,type,
sP5: num > num > num > $o ).
thf(func_def_1234,type,
sP6: int > ( int > $o ) > int > $o ).
thf(func_def_1235,type,
sP7: vEBT_VEBT > nat > $o ).
thf(func_def_1236,type,
sP8: nat > vEBT_VEBT > $o ).
thf(func_def_1237,type,
sP9: vEBT_VEBT > nat > $o ).
thf(func_def_1238,type,
sP10: int > ( int > $o ) > int > $o ).
thf(func_def_1239,type,
sK11: set_nat > nat > set_nat ).
thf(func_def_1240,type,
sK12: ( real > num ) > ( set_real > $o ) > set_real ).
thf(func_def_1241,type,
sK13: ( real > num ) > ( set_real > $o ) > real ).
thf(func_def_1242,type,
sK14: int > ( int > $o ) > int ).
thf(func_def_1243,type,
sK15: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1244,type,
sK16: num > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_1245,type,
sK17: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_1246,type,
sK18: num > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_1247,type,
sK19: ( int > $o ) > int ).
thf(func_def_1248,type,
sK20: ( set_int > $o ) > int ).
thf(func_def_1249,type,
sK21: ( set_int > $o ) > int ).
thf(func_def_1250,type,
sK22: ( set_int > $o ) > set_int ).
thf(func_def_1251,type,
sK23: rat > rat ).
thf(func_def_1252,type,
sK24: real > real > real ).
thf(func_def_1253,type,
sK25: ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1254,type,
sK26: ( rat > real ) > rat ).
thf(func_def_1255,type,
sK27: ( rat > real ) > rat ).
thf(func_def_1256,type,
sK28: real > nat ).
thf(func_def_1257,type,
sK29: rat > rat > rat ).
thf(func_def_1258,type,
sK30: nat > nat ).
thf(func_def_1259,type,
sK31: ( num > nat ) > num ).
thf(func_def_1260,type,
sK32: ( num > nat ) > num ).
thf(func_def_1261,type,
sK33: ( nat > rat ) > nat ).
thf(func_def_1262,type,
sK34: ( nat > rat ) > nat ).
thf(func_def_1263,type,
sK35: rat > rat > rat ).
thf(func_def_1264,type,
sK36: real > real ).
thf(func_def_1265,type,
sK37: ( num > num ) > num ).
thf(func_def_1266,type,
sK38: ( num > num ) > num ).
thf(func_def_1267,type,
sK39: ( nat > num ) > nat ).
thf(func_def_1268,type,
sK40: nat > nat > list_VEBT_VEBT > nat > nat > nat ).
thf(func_def_1269,type,
sK41: nat > nat > list_VEBT_VEBT > nat > nat > nat ).
thf(func_def_1270,type,
sK42: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_1271,type,
sK43: list_VEBT_VEBT > vEBT_VEBT ).
thf(func_def_1272,type,
sK44: list_VEBT_VEBT > nat ).
thf(func_def_1273,type,
sK45: list_VEBT_VEBT > vEBT_VEBT > nat > nat ).
thf(func_def_1274,type,
sK46: list_VEBT_VEBT > vEBT_VEBT > nat > nat ).
thf(func_def_1275,type,
sK47: ( set_int > $o ) > int ).
thf(func_def_1276,type,
sK48: ( set_int > $o ) > set_int ).
thf(func_def_1277,type,
sK49: ( nat > int ) > nat ).
thf(func_def_1278,type,
sK50: ( nat > num ) > nat ).
thf(func_def_1279,type,
sK51: ( nat > num ) > nat ).
thf(func_def_1280,type,
sK52: ( set_nat > $o ) > nat ).
thf(func_def_1281,type,
sK53: ( set_nat > $o ) > set_nat ).
thf(func_def_1282,type,
sK54: num > num ).
thf(func_def_1283,type,
sK55: nat > nat > nat ).
thf(func_def_1284,type,
sK56: ( rat > nat ) > rat ).
thf(func_def_1285,type,
sK57: ( rat > nat ) > rat ).
thf(func_def_1286,type,
sK58: set_real > real ).
thf(func_def_1287,type,
sK59: ( nat > nat > $o ) > nat ).
thf(func_def_1288,type,
sK60: ( nat > nat > $o ) > nat ).
thf(func_def_1289,type,
sK61: ( nat > nat > $o ) > nat ).
thf(func_def_1290,type,
sK62: ( nat > nat > $o ) > nat ).
thf(func_def_1291,type,
sK63: ( nat > nat > $o ) > nat ).
thf(func_def_1292,type,
sK64: nat > ( nat > $o ) > nat > nat ).
thf(func_def_1293,type,
sK65: real > real > real ).
thf(func_def_1294,type,
sK66: ( set_real > $o ) > set_real ).
thf(func_def_1295,type,
sK67: ( set_real > $o ) > real ).
thf(func_def_1296,type,
sK68: ( set_real > $o ) > set_real ).
thf(func_def_1297,type,
sK69: ( real > num ) > real ).
thf(func_def_1298,type,
sK70: ( real > num ) > real ).
thf(func_def_1299,type,
sK71: ( nat > $o ) > nat > nat > nat ).
thf(func_def_1300,type,
sK72: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_1301,type,
sK73: num > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_1302,type,
sK74: num > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_1303,type,
sK75: real > real ).
thf(func_def_1304,type,
sK76: ( real > $o ) > real ).
thf(func_def_1305,type,
sK77: ( rat > real ) > rat ).
thf(func_def_1306,type,
sK78: ( rat > real ) > rat ).
thf(func_def_1307,type,
sK79: set_real > ( set_real > $o ) > real ).
thf(func_def_1308,type,
sK80: set_real > ( set_real > $o ) > set_real ).
thf(func_def_1309,type,
sK81: ( set_nat > $o ) > set_nat ).
thf(func_def_1310,type,
sK82: ( set_nat > $o ) > nat ).
thf(func_def_1311,type,
sK83: ( set_nat > $o ) > set_nat ).
thf(func_def_1312,type,
sK84: nat > real > real ).
thf(func_def_1313,type,
sK85: rat > rat ).
thf(func_def_1314,type,
sK86: nat > nat > nat ).
thf(func_def_1315,type,
sK87: ( nat > real ) > nat > nat ).
thf(func_def_1316,type,
sK88: ( nat > real ) > real > nat > real ).
thf(func_def_1317,type,
sK89: nat > real > ( nat > real ) > nat > real ).
thf(func_def_1318,type,
sK90: ( nat > $o ) > nat ).
thf(func_def_1319,type,
sK91: ( rat > rat > $o ) > rat ).
thf(func_def_1320,type,
sK92: ( rat > rat > $o ) > rat ).
thf(func_def_1321,type,
sK93: ( rat > rat > $o ) > rat ).
thf(func_def_1322,type,
sK94: ( rat > rat > $o ) > rat ).
thf(func_def_1323,type,
sK95: ( rat > rat > $o ) > rat ).
thf(func_def_1324,type,
sK96: int > int ).
thf(func_def_1325,type,
sK97: ( rat > int ) > rat ).
thf(func_def_1326,type,
sK98: ( rat > int ) > rat ).
thf(func_def_1327,type,
sK99: ( nat > real ) > nat ).
thf(func_def_1328,type,
sK100: nat > ( nat > $o ) > nat ).
thf(func_def_1329,type,
sK101: nat > ( nat > $o ) > nat ).
thf(func_def_1330,type,
sK102: nat > nat > nat ).
thf(func_def_1331,type,
sK103: nat > nat ).
thf(func_def_1332,type,
sK104: ( int > num ) > int ).
thf(func_def_1333,type,
sK105: ( int > num ) > int ).
thf(func_def_1334,type,
sK106: ( num > num > $o ) > num ).
thf(func_def_1335,type,
sK107: ( num > num > $o ) > num ).
thf(func_def_1336,type,
sK108: ( num > num > $o ) > num ).
thf(func_def_1337,type,
sK109: ( num > num > $o ) > num ).
thf(func_def_1338,type,
sK110: ( num > num > $o ) > num ).
thf(func_def_1339,type,
sK111: real > real > nat ).
thf(func_def_1340,type,
sK112: ( rat > rat ) > rat ).
thf(func_def_1341,type,
sK113: ( rat > rat ) > rat ).
thf(func_def_1342,type,
sK114: int > int ).
thf(func_def_1343,type,
sK115: ( set_int > $o ) > set_int > set_int ).
thf(func_def_1344,type,
sK116: nat > nat ).
thf(func_def_1345,type,
sK117: nat ).
thf(func_def_1346,type,
sK118: ( set_real > $o ) > set_real > real ).
thf(func_def_1347,type,
sK119: ( set_real > $o ) > set_real > set_real ).
thf(func_def_1348,type,
sK120: vEBT_VEBT > nat > list_VEBT_VEBT ).
thf(func_def_1349,type,
sK121: vEBT_VEBT > nat > option4927543243414619207at_nat ).
thf(func_def_1350,type,
sK122: vEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_1351,type,
sK123: nat > nat ).
thf(func_def_1352,type,
sK124: int > nat ).
thf(func_def_1353,type,
sK125: nat > set_nat > nat ).
thf(func_def_1354,type,
sK126: ( nat > rat ) > nat ).
thf(func_def_1355,type,
sK127: ( nat > rat ) > nat ).
thf(func_def_1356,type,
sK128: set_int > ( set_int > $o ) > set_int ).
thf(func_def_1357,type,
sK129: set_int > ( set_int > $o ) > int ).
thf(func_def_1358,type,
sK130: ( nat > $o ) > nat ).
thf(func_def_1359,type,
sK131: ( rat > num ) > rat ).
thf(func_def_1360,type,
sK132: ( rat > num ) > rat ).
thf(func_def_1361,type,
sK133: ( num > real ) > num ).
thf(func_def_1362,type,
sK134: ( num > real ) > num ).
thf(func_def_1363,type,
sK135: ( rat > real ) > rat ).
thf(func_def_1364,type,
sK136: ( rat > real ) > rat ).
thf(func_def_1365,type,
sK137: rat > rat > rat ).
thf(func_def_1366,type,
sK138: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1367,type,
sK139: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1368,type,
sK140: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1369,type,
sK141: ( nat > $o ) > nat > nat ).
thf(func_def_1370,type,
sK142: ( real > rat ) > real ).
thf(func_def_1371,type,
sK143: ( real > rat ) > real ).
thf(func_def_1372,type,
sK144: nat > ( nat > real ) > nat ).
thf(func_def_1373,type,
sK145: nat > ( nat > real ) > nat ).
thf(func_def_1374,type,
sK146: vEBT_VEBT > $o ).
thf(func_def_1375,type,
sK147: vEBT_VEBT > nat ).
thf(func_def_1376,type,
sK148: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1377,type,
sK149: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1378,type,
sK150: vEBT_VEBT > product_prod_nat_nat ).
thf(func_def_1379,type,
sK151: vEBT_VEBT > nat ).
thf(func_def_1380,type,
sK152: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1381,type,
sK153: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1382,type,
sK154: vEBT_VEBT > $o ).
thf(func_def_1383,type,
sK155: real > real ).
thf(func_def_1384,type,
sK156: num > num ).
thf(func_def_1385,type,
sK157: ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1386,type,
sK158: ( nat > real ) > nat ).
thf(func_def_1387,type,
sK159: rat > rat ).
thf(func_def_1388,type,
sK160: ( rat > real ) > rat ).
thf(func_def_1389,type,
sK161: ( rat > real ) > rat ).
thf(func_def_1390,type,
sK162: rat > rat ).
thf(func_def_1391,type,
sK163: ( set_real > $o ) > set_real ).
thf(func_def_1392,type,
sK164: ( set_real > $o ) > real ).
thf(func_def_1393,type,
sK165: ( real > $o ) > real ).
thf(func_def_1394,type,
sK166: set_int > int > set_int ).
thf(func_def_1395,type,
sK167: ( real > rat ) > real ).
thf(func_def_1396,type,
sK168: ( real > rat ) > real ).
thf(func_def_1397,type,
sK169: nat > set_nat > set_nat ).
thf(func_def_1398,type,
sK170: ( nat > $o ) > nat ).
thf(func_def_1399,type,
sK171: ( nat > $o ) > nat > nat ).
thf(func_def_1400,type,
sK172: real > ( nat > real ) > nat > nat ).
thf(func_def_1401,type,
sK173: set_nat > ( nat > complex ) > set_nat > nat ).
thf(func_def_1402,type,
sK174: set_nat > set_nat > ( nat > complex ) > nat ).
thf(func_def_1403,type,
sK175: real > real > real ).
thf(func_def_1404,type,
sK176: ( set_nat > $o ) > nat ).
thf(func_def_1405,type,
sK177: ( set_nat > $o ) > set_nat ).
thf(func_def_1406,type,
sK178: ( real > real > $o ) > real ).
thf(func_def_1407,type,
sK179: set_int > int ).
thf(func_def_1408,type,
sK180: set_nat > ( nat > nat ) > nat ).
thf(func_def_1409,type,
sK181: ( real > real ) > real ).
thf(func_def_1410,type,
sK182: ( real > real ) > real ).
thf(func_def_1411,type,
sK183: real > real ).
thf(func_def_1412,type,
sK184: int > int ).
thf(func_def_1413,type,
sK185: ( nat > $o ) > nat > nat ).
thf(func_def_1414,type,
sK186: ( rat > num ) > rat ).
thf(func_def_1415,type,
sK187: ( rat > num ) > rat ).
thf(func_def_1416,type,
sK188: ( real > int ) > real ).
thf(func_def_1417,type,
sK189: ( real > int ) > real ).
thf(func_def_1418,type,
sK190: ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1419,type,
sK191: ( rat > nat ) > rat ).
thf(func_def_1420,type,
sK192: ( rat > nat ) > rat ).
thf(func_def_1421,type,
sK193: nat > nat > nat ).
thf(func_def_1422,type,
sK194: nat > ( nat > $o ) > nat ).
thf(func_def_1423,type,
sK195: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > vEBT_VEBT ).
thf(func_def_1424,type,
sK196: ( nat > real ) > set_nat > nat ).
thf(func_def_1425,type,
sK197: nat > ( nat > $o ) > nat ).
thf(func_def_1426,type,
sK198: nat > ( nat > $o ) > nat ).
thf(func_def_1427,type,
sK199: nat > nat ).
thf(func_def_1428,type,
sK200: ( nat > $o ) > nat > nat ).
thf(func_def_1429,type,
sK201: ( nat > $o ) > nat > nat ).
thf(func_def_1430,type,
sK202: ( int > rat ) > int ).
thf(func_def_1431,type,
sK203: ( int > rat ) > int ).
thf(func_def_1432,type,
sK204: ( nat > int ) > nat ).
thf(func_def_1433,type,
sK205: ( int > rat ) > ( set_int > $o ) > set_int ).
thf(func_def_1434,type,
sK206: ( int > rat ) > ( set_int > $o ) > int ).
thf(func_def_1435,type,
sK207: rat > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_1436,type,
sK208: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_1437,type,
sK209: rat > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_1438,type,
sK210: ( set_int > $o ) > set_int ).
thf(func_def_1439,type,
sK211: nat > nat ).
thf(func_def_1440,type,
sK212: ( nat > nat > $o ) > nat ).
thf(func_def_1441,type,
sK213: ( nat > nat > $o ) > nat ).
thf(func_def_1442,type,
sK214: ( nat > nat > $o ) > nat ).
thf(func_def_1443,type,
sK215: ( nat > nat > $o ) > nat ).
thf(func_def_1444,type,
sK216: ( num > nat ) > num ).
thf(func_def_1445,type,
sK217: ( num > nat ) > num ).
thf(func_def_1446,type,
sK218: set_nat > nat ).
thf(func_def_1447,type,
sK219: ( nat > num ) > nat ).
thf(func_def_1448,type,
sK220: ( nat > num ) > nat ).
thf(func_def_1449,type,
sK221: real > real > real > real ).
thf(func_def_1450,type,
sK222: nat > ( nat > $o ) > nat ).
thf(func_def_1451,type,
sK223: nat > ( nat > $o ) > nat ).
thf(func_def_1452,type,
sK224: real > real ).
thf(func_def_1453,type,
sK225: ( rat > int ) > rat ).
thf(func_def_1454,type,
sK226: ( rat > int ) > rat ).
thf(func_def_1455,type,
sK227: ( nat > num ) > ( set_nat > $o ) > nat ).
thf(func_def_1456,type,
sK228: ( nat > num ) > ( set_nat > $o ) > set_nat ).
thf(func_def_1457,type,
sK229: set_nat > ( set_nat > $o ) > set_nat ).
thf(func_def_1458,type,
sK230: set_nat > ( set_nat > $o ) > nat ).
thf(func_def_1459,type,
sK231: set_int > int ).
thf(func_def_1460,type,
sK232: nat > nat ).
thf(func_def_1461,type,
sK233: ( num > nat ) > num ).
thf(func_def_1462,type,
sK234: ( num > nat ) > num ).
thf(func_def_1463,type,
sK235: ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1464,type,
sK236: ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1465,type,
sK237: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).
thf(func_def_1466,type,
sK238: set_int > ( set_int > $o ) > set_int ).
thf(func_def_1467,type,
sK239: nat > nat > nat ).
thf(func_def_1468,type,
sK240: nat > ( nat > complex ) > complex ).
thf(func_def_1469,type,
sK241: nat > ( nat > complex ) > nat ).
thf(func_def_1470,type,
sK242: set_int > int ).
thf(func_def_1471,type,
sK243: real > int ).
thf(func_def_1472,type,
sK244: ( nat > rat ) > nat ).
thf(func_def_1473,type,
sK245: ( int > $o ) > int ).
thf(func_def_1474,type,
sK246: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1475,type,
sK247: ( int > $o ) > int > int ).
thf(func_def_1476,type,
sK248: ( int > $o ) > int > int ).
thf(func_def_1477,type,
sK249: ( num > int ) > num ).
thf(func_def_1478,type,
sK250: ( num > int ) > num ).
thf(func_def_1479,type,
sK251: ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1480,type,
sK252: int > nat ).
thf(func_def_1481,type,
sK253: int > nat ).
thf(func_def_1482,type,
sK254: real > nat ).
thf(func_def_1483,type,
sK255: nat > ( nat > $o ) > nat ).
thf(func_def_1484,type,
sK256: nat > ( nat > $o ) > nat ).
thf(func_def_1485,type,
sK257: ( rat > nat ) > rat ).
thf(func_def_1486,type,
sK258: ( rat > nat ) > rat ).
thf(func_def_1487,type,
sK259: ( real > rat ) > real ).
thf(func_def_1488,type,
sK260: ( real > rat ) > real ).
thf(func_def_1489,type,
sK261: ( num > rat ) > num ).
thf(func_def_1490,type,
sK262: ( num > rat ) > num ).
thf(func_def_1491,type,
sK263: option_nat > option_nat > ( option_nat > option_nat > $o ) > nat ).
thf(func_def_1492,type,
sK264: option_nat > option_nat > ( option_nat > option_nat > $o ) > nat ).
thf(func_def_1493,type,
sK265: option4927543243414619207at_nat > ( option_nat > option4927543243414619207at_nat > $o ) > option_nat > product_prod_nat_nat ).
thf(func_def_1494,type,
sK266: option4927543243414619207at_nat > ( option_nat > option4927543243414619207at_nat > $o ) > option_nat > nat ).
thf(func_def_1495,type,
sK267: rat > rat > rat ).
thf(func_def_1496,type,
sK268: int > int > int ).
thf(func_def_1497,type,
sK269: nat > nat > nat ).
thf(func_def_1498,type,
sK270: nat > ( nat > $o ) > nat ).
thf(func_def_1499,type,
sK271: nat > ( nat > $o ) > nat ).
thf(func_def_1500,type,
sK272: ( real > nat ) > real ).
thf(func_def_1501,type,
sK273: ( real > nat ) > real ).
thf(func_def_1502,type,
sK274: ( rat > int ) > rat ).
thf(func_def_1503,type,
sK275: ( rat > int ) > rat ).
thf(func_def_1504,type,
sK276: nat > nat ).
thf(func_def_1505,type,
sK277: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1506,type,
sK278: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1507,type,
sK279: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1508,type,
sK280: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1509,type,
sK281: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1510,type,
sK282: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1511,type,
sK283: set_real > real > real ).
thf(func_def_1512,type,
sK284: ( real > nat ) > real ).
thf(func_def_1513,type,
sK285: ( real > nat ) > real ).
thf(func_def_1514,type,
sK286: nat > nat > nat > nat ).
thf(func_def_1515,type,
sK287: int > set_int > int ).
thf(func_def_1516,type,
sK288: nat > nat ).
thf(func_def_1517,type,
sK289: option_nat > nat ).
thf(func_def_1518,type,
sK290: real > nat ).
thf(func_def_1519,type,
sK291: num > num ).
thf(func_def_1520,type,
sK292: set_nat > ( nat > complex ) > set_nat > nat ).
thf(func_def_1521,type,
sK293: set_nat > nat ).
thf(func_def_1522,type,
sK294: nat > ( nat > $o ) > nat ).
thf(func_def_1523,type,
sK295: ( int > rat ) > int ).
thf(func_def_1524,type,
sK296: ( int > rat ) > int ).
thf(func_def_1525,type,
sK297: nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_1526,type,
sK298: set_nat > ( nat > nat ) > nat ).
thf(func_def_1527,type,
sK299: real > set_real > set_real ).
thf(func_def_1528,type,
sK300: nat > nat > nat ).
thf(func_def_1529,type,
sK301: nat > ( nat > nat ) > set_nat > nat ).
thf(func_def_1530,type,
sK302: ( nat > nat ) > set_nat > nat ).
thf(func_def_1531,type,
sK303: rat > rat ).
thf(func_def_1532,type,
sK304: ( nat > num ) > nat ).
thf(func_def_1533,type,
sK305: ( nat > num ) > nat ).
thf(func_def_1534,type,
sK306: rat > rat ).
thf(func_def_1535,type,
sK307: num > num ).
thf(func_def_1536,type,
sK308: rat > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_1537,type,
sK309: rat > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_1538,type,
sK310: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_1539,type,
sK311: list_VEBT_VEBT > list_VEBT_VEBT > nat ).
thf(func_def_1540,type,
sK312: ( num > real ) > num ).
thf(func_def_1541,type,
sK313: ( num > real ) > num ).
thf(func_def_1542,type,
sK314: ( rat > nat ) > rat ).
thf(func_def_1543,type,
sK315: ( rat > nat ) > rat ).
thf(func_def_1544,type,
sK316: vEBT_VEBT > $o ).
thf(func_def_1545,type,
sK317: vEBT_VEBT > $o ).
thf(func_def_1546,type,
sK318: ( nat > nat ) > set_nat > nat ).
thf(func_def_1547,type,
sK319: rat > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_1548,type,
sK320: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_1549,type,
sK321: rat > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_1550,type,
sK322: ( num > nat ) > num ).
thf(func_def_1551,type,
sK323: ( num > nat ) > num ).
thf(func_def_1552,type,
sK324: ( int > int > $o ) > int ).
thf(func_def_1553,type,
sK325: ( int > int > $o ) > int ).
thf(func_def_1554,type,
sK326: ( int > int > $o ) > int ).
thf(func_def_1555,type,
sK327: ( int > int > $o ) > int ).
thf(func_def_1556,type,
sK328: ( num > nat ) > num ).
thf(func_def_1557,type,
sK329: ( num > nat ) > num ).
thf(func_def_1558,type,
sK330: option_nat > nat ).
thf(func_def_1559,type,
sK331: ( rat > nat ) > rat ).
thf(func_def_1560,type,
sK332: ( rat > nat ) > rat ).
thf(func_def_1561,type,
sK333: ( set_nat > $o ) > set_nat ).
thf(func_def_1562,type,
sK334: ( set_nat > $o ) > nat ).
thf(func_def_1563,type,
sK335: set_nat > set_nat > ( nat > complex ) > nat ).
thf(func_def_1564,type,
sK336: ( rat > int ) > rat ).
thf(func_def_1565,type,
sK337: ( rat > int ) > rat ).
thf(func_def_1566,type,
sK338: ( nat > $o ) > nat ).
thf(func_def_1567,type,
sK339: ( nat > $o ) > nat > nat ).
thf(func_def_1568,type,
sK340: rat > rat ).
thf(func_def_1569,type,
sK341: int > ( int > $o ) > int ).
thf(func_def_1570,type,
sK342: int > ( int > $o ) > int ).
thf(func_def_1571,type,
sK343: ( nat > $o ) > nat ).
thf(func_def_1572,type,
sK344: ( nat > $o ) > nat ).
thf(func_def_1573,type,
sK345: nat ).
thf(func_def_1574,type,
sK346: nat > nat ).
thf(func_def_1575,type,
sK347: set_nat > nat > nat ).
thf(func_def_1576,type,
sK348: vEBT_VEBT > $o ).
thf(func_def_1577,type,
sK349: vEBT_VEBT > nat ).
thf(func_def_1578,type,
sK350: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1579,type,
sK351: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1580,type,
sK352: vEBT_VEBT > $o ).
thf(func_def_1581,type,
sK353: vEBT_VEBT > product_prod_nat_nat ).
thf(func_def_1582,type,
sK354: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1583,type,
sK355: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1584,type,
sK356: vEBT_VEBT > nat ).
thf(func_def_1585,type,
sK357: ( nat > complex ) > nat > nat ).
thf(func_def_1586,type,
sK358: ( nat > complex ) > nat > complex > complex ).
thf(func_def_1587,type,
sK359: ( int > int > $o ) > int ).
thf(func_def_1588,type,
sK360: ( int > int > $o ) > int ).
thf(func_def_1589,type,
sK361: ( int > int > $o ) > int ).
thf(func_def_1590,type,
sK362: ( int > int > $o ) > int ).
thf(func_def_1591,type,
sK363: ( int > int > $o ) > int ).
thf(func_def_1592,type,
sK364: nat > nat > nat ).
thf(func_def_1593,type,
sK365: nat > nat ).
thf(func_def_1594,type,
sK366: ( nat > nat > $o ) > set_nat > set_nat > nat ).
thf(func_def_1595,type,
sK367: ( nat > nat > $o ) > set_nat > set_nat > nat ).
thf(func_def_1596,type,
sK368: int > int ).
thf(func_def_1597,type,
sK369: ( nat > nat ) > nat ).
thf(func_def_1598,type,
sK370: ( set_real > $o ) > set_real ).
thf(func_def_1599,type,
sK371: ( set_real > $o ) > real ).
thf(func_def_1600,type,
sK372: set_int > int > set_int ).
thf(func_def_1601,type,
sK373: int > nat ).
thf(func_def_1602,type,
sK374: nat > nat > ( nat > $o ) > nat ).
thf(func_def_1603,type,
sK375: vEBT_VEBT > nat ).
thf(func_def_1604,type,
sK376: nat > nat > nat ).
thf(func_def_1605,type,
sK377: set_real > real ).
thf(func_def_1606,type,
sK378: rat > rat ).
thf(func_def_1607,type,
sK379: ( num > rat ) > num ).
thf(func_def_1608,type,
sK380: ( num > rat ) > num ).
thf(func_def_1609,type,
sK381: ( rat > nat ) > rat ).
thf(func_def_1610,type,
sK382: ( rat > nat ) > rat ).
thf(func_def_1611,type,
sK383: ( real > $o ) > real ).
thf(func_def_1612,type,
sK384: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1613,type,
sK385: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1614,type,
sK386: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1615,type,
sK387: ( nat > real ) > nat ).
thf(func_def_1616,type,
sK388: ( nat > real ) > nat ).
thf(func_def_1617,type,
sK389: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1618,type,
sK390: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1619,type,
sK391: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1620,type,
sK392: ( real > rat ) > real ).
thf(func_def_1621,type,
sK393: ( real > rat ) > real ).
thf(func_def_1622,type,
sK394: real > int ).
thf(func_def_1623,type,
sK395: rat > rat ).
thf(func_def_1624,type,
sK396: ( nat > $o ) > nat ).
thf(func_def_1625,type,
sK397: ( int > real ) > int ).
thf(func_def_1626,type,
sK398: ( int > real ) > int ).
thf(func_def_1627,type,
sK399: nat > nat > nat > nat ).
thf(func_def_1628,type,
sK400: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1629,type,
sK401: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1630,type,
sK402: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1631,type,
sK403: num > num ).
thf(func_def_1632,type,
sK404: rat > rat ).
thf(func_def_1633,type,
sK405: int > ( int > $o ) > int ).
thf(func_def_1634,type,
sK406: ( num > rat ) > num ).
thf(func_def_1635,type,
sK407: ( num > rat ) > num ).
thf(func_def_1636,type,
sK408: ( rat > rat > $o ) > rat ).
thf(func_def_1637,type,
sK409: ( rat > rat > $o ) > rat ).
thf(func_def_1638,type,
sK410: ( rat > rat > $o ) > rat ).
thf(func_def_1639,type,
sK411: ( rat > rat > $o ) > rat ).
thf(func_def_1640,type,
sK412: real > int ).
thf(func_def_1641,type,
sK413: ( nat > $o ) > nat ).
thf(func_def_1642,type,
sK414: ( nat > $o ) > nat ).
thf(func_def_1643,type,
sK415: ( rat > rat ) > rat ).
thf(func_def_1644,type,
sK416: ( rat > rat ) > rat ).
thf(func_def_1645,type,
sK417: ( num > real ) > num ).
thf(func_def_1646,type,
sK418: ( num > real ) > num ).
thf(func_def_1647,type,
sK419: real > real > nat ).
thf(func_def_1648,type,
sK420: set_nat > ( nat > real ) > ( nat > real ) > nat ).
thf(func_def_1649,type,
sK421: ( num > num ) > num ).
thf(func_def_1650,type,
sK422: ( num > num ) > num ).
thf(func_def_1651,type,
sK423: nat > nat > nat ).
thf(func_def_1652,type,
sK424: real > real ).
thf(func_def_1653,type,
sK425: nat > nat > nat ).
thf(func_def_1654,type,
sK426: ( nat > nat ) > nat > nat ).
thf(func_def_1655,type,
sK427: nat > ( nat > nat ) > nat ).
thf(func_def_1656,type,
sK428: num > num ).
thf(func_def_1657,type,
sK429: ( nat > rat ) > nat ).
thf(func_def_1658,type,
sK430: ( nat > $o ) > nat > nat ).
thf(func_def_1659,type,
sK431: ( nat > $o ) > nat > nat ).
thf(func_def_1660,type,
sK432: ( nat > real ) > ( nat > real ) > nat > nat ).
thf(func_def_1661,type,
sK433: ( nat > real ) > ( nat > real ) > nat > real ).
thf(func_def_1662,type,
sK434: rat > rat ).
thf(func_def_1663,type,
sK435: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1664,type,
sK436: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1665,type,
sK437: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1666,type,
sK438: ( num > num ) > num ).
thf(func_def_1667,type,
sK439: ( num > num ) > num ).
thf(func_def_1668,type,
sK440: ( nat > real ) > nat > nat ).
thf(func_def_1669,type,
sK441: ( nat > rat ) > nat ).
thf(func_def_1670,type,
sK442: ( nat > rat ) > nat ).
thf(func_def_1671,type,
sK443: set_real > real ).
thf(func_def_1672,type,
sK444: real > real > real ).
thf(func_def_1673,type,
sK445: ( set_real > $o ) > set_real ).
thf(func_def_1674,type,
sK446: set_int > set_int > int ).
thf(func_def_1675,type,
sK447: set_nat > ( nat > complex ) > ( nat > complex ) > nat ).
thf(func_def_1676,type,
sK448: set_nat > set_nat > ( nat > complex ) > nat ).
thf(func_def_1677,type,
sK449: ( nat > rat ) > nat ).
thf(func_def_1678,type,
sK450: ( nat > rat ) > nat ).
thf(func_def_1679,type,
sK451: ( set_real > $o ) > real ).
thf(func_def_1680,type,
sK452: ( set_real > $o ) > real ).
thf(func_def_1681,type,
sK453: ( set_real > $o ) > set_real ).
thf(func_def_1682,type,
sK454: ( real > real ) > real ).
thf(func_def_1683,type,
sK455: ( real > real ) > real ).
thf(func_def_1684,type,
sK456: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1685,type,
sK457: ( num > int ) > num ).
thf(func_def_1686,type,
sK458: ( num > int ) > num ).
thf(func_def_1687,type,
sK459: nat > nat ).
thf(func_def_1688,type,
sK460: ( set_nat > $o ) > set_nat > set_nat ).
thf(func_def_1689,type,
sK461: set_real > set_real > real ).
thf(func_def_1690,type,
sK462: nat > set_nat > nat ).
thf(func_def_1691,type,
sK463: ( int > real ) > int ).
thf(func_def_1692,type,
sK464: ( int > real ) > int ).
thf(func_def_1693,type,
sK465: ( rat > int ) > rat ).
thf(func_def_1694,type,
sK466: ( rat > int ) > rat ).
thf(func_def_1695,type,
sK467: ( rat > real ) > rat ).
thf(func_def_1696,type,
sK468: ( rat > real ) > rat ).
thf(func_def_1697,type,
sK469: set_int > ( int > int > $o ) > set_int > int ).
thf(func_def_1698,type,
sK470: set_int > ( int > int > $o ) > set_int > int ).
thf(func_def_1699,type,
sK471: nat > nat > nat ).
thf(func_def_1700,type,
sK472: real > real ).
thf(func_def_1701,type,
sK473: ( rat > num ) > rat ).
thf(func_def_1702,type,
sK474: ( rat > num ) > rat ).
thf(func_def_1703,type,
sK475: option4927543243414619207at_nat > product_prod_nat_nat ).
thf(func_def_1704,type,
sK476: set_nat > set_int > ( nat > int > $o ) > nat ).
thf(func_def_1705,type,
sK477: set_nat > set_int > ( nat > int > $o ) > int ).
thf(func_def_1706,type,
sK478: nat > list_VEBT_VEBT ).
thf(func_def_1707,type,
sK479: num > num ).
thf(func_def_1708,type,
sK480: nat > nat ).
thf(func_def_1709,type,
sK481: int > int ).
thf(func_def_1710,type,
sK482: ( rat > rat ) > rat ).
thf(func_def_1711,type,
sK483: ( rat > rat ) > rat ).
thf(func_def_1712,type,
sK484: ( nat > nat ) > nat > nat ).
thf(func_def_1713,type,
sK485: ( nat > nat ) > nat > nat ).
thf(func_def_1714,type,
sK486: nat > ( nat > nat ) > nat ).
thf(func_def_1715,type,
sK487: nat > ( nat > nat ) > nat ).
thf(func_def_1716,type,
sK488: ( nat > nat ) > nat ).
thf(func_def_1717,type,
sK489: set_real > set_real ).
thf(func_def_1718,type,
sK490: set_real > real ).
thf(func_def_1719,type,
sK491: real > real > nat ).
thf(func_def_1720,type,
sK492: ( set_int > $o ) > int ).
thf(func_def_1721,type,
sK493: ( set_int > $o ) > set_int ).
thf(func_def_1722,type,
sK494: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1723,type,
sK495: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1724,type,
sK496: vEBT_VEBT > nat ).
thf(func_def_1725,type,
sK497: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1726,type,
sK498: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1727,type,
sK499: vEBT_VEBT > nat ).
thf(func_def_1728,type,
sK500: vEBT_VEBT > nat ).
thf(func_def_1729,type,
sK501: vEBT_VEBT > nat ).
thf(func_def_1730,type,
sK502: vEBT_VEBT > $o ).
thf(func_def_1731,type,
sK503: vEBT_VEBT > $o ).
thf(func_def_1732,type,
sK504: set_int > int ).
thf(func_def_1733,type,
sK505: list_VEBT_VEBT > vEBT_VEBT ).
thf(func_def_1734,type,
sK506: list_VEBT_VEBT > nat ).
thf(func_def_1735,type,
sK507: vEBT_VEBT > nat ).
thf(func_def_1736,type,
sK508: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_1737,type,
sK509: nat > nat > nat ).
thf(func_def_1738,type,
sK510: ( real > real ) > real ).
thf(func_def_1739,type,
sK511: ( real > real ) > real ).
thf(func_def_1740,type,
sK512: ( real > real ) > real ).
thf(func_def_1741,type,
sK513: ( real > real ) > real ).
thf(func_def_1742,type,
sK514: set_int > int ).
thf(func_def_1743,type,
sK515: nat > nat > nat ).
thf(func_def_1744,type,
sK516: ( nat > complex ) > set_nat > nat ).
thf(func_def_1745,type,
sK517: real > real > ( real > $o ) > real ).
thf(func_def_1746,type,
sK518: real > real > ( real > $o ) > real ).
thf(func_def_1747,type,
sK519: rat > rat > rat ).
thf(func_def_1748,type,
sK520: ( set_nat > $o ) > nat ).
thf(func_def_1749,type,
sK521: ( set_nat > $o ) > set_nat ).
thf(func_def_1750,type,
sK522: ( complex > complex > $o ) > complex ).
thf(func_def_1751,type,
sK523: ( complex > complex > $o ) > complex ).
thf(func_def_1752,type,
sK524: ( complex > complex > $o ) > complex ).
thf(func_def_1753,type,
sK525: ( complex > complex > $o ) > complex ).
thf(func_def_1754,type,
sK526: ( nat > complex ) > ( complex > complex > $o ) > ( nat > complex ) > set_nat > nat ).
thf(func_def_1755,type,
sK527: real > real > nat ).
thf(func_def_1756,type,
sK528: num > num ).
thf(func_def_1757,type,
sK529: real > real ).
thf(func_def_1758,type,
sK530: ( nat > nat ) > nat ).
thf(func_def_1759,type,
sK531: ( nat > nat ) > nat ).
thf(func_def_1760,type,
sK532: ( num > num ) > num ).
thf(func_def_1761,type,
sK533: ( num > num ) > num ).
thf(func_def_1762,type,
sK534: real > real > real > real ).
thf(func_def_1763,type,
sK535: vEBT_VEBT > $o ).
thf(func_def_1764,type,
sK536: vEBT_VEBT > $o ).
thf(func_def_1765,type,
sK537: vEBT_VEBT > nat ).
thf(func_def_1766,type,
sK538: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1767,type,
sK539: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1768,type,
sK540: vEBT_VEBT > product_prod_nat_nat ).
thf(func_def_1769,type,
sK541: set_real > set_nat > ( real > nat > $o ) > nat ).
thf(func_def_1770,type,
sK542: set_real > set_nat > ( real > nat > $o ) > real ).
thf(func_def_1771,type,
sK543: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1772,type,
sK544: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1773,type,
sK545: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1774,type,
sK546: int > int ).
thf(func_def_1775,type,
sK547: set_real > real ).
thf(func_def_1776,type,
sK548: set_int > int > int ).
thf(func_def_1777,type,
sK549: ( nat > set_int ) > nat ).
thf(func_def_1778,type,
sK550: vEBT_VEBT > option_nat > $o ).
thf(func_def_1779,type,
sK551: vEBT_VEBT > option_nat > $o ).
thf(func_def_1780,type,
sK552: vEBT_VEBT > nat ).
thf(func_def_1781,type,
sK553: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1782,type,
sK554: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1783,type,
sK555: vEBT_VEBT > option_nat > nat ).
thf(func_def_1784,type,
sK556: vEBT_VEBT > option_nat > nat ).
thf(func_def_1785,type,
sK557: vEBT_VEBT > option_nat > list_VEBT_VEBT ).
thf(func_def_1786,type,
sK558: vEBT_VEBT > option_nat > vEBT_VEBT ).
thf(func_def_1787,type,
sK559: vEBT_VEBT > option_nat > nat ).
thf(func_def_1788,type,
sK560: set_real > real > real ).
thf(func_def_1789,type,
sK561: nat > nat > nat ).
thf(func_def_1790,type,
sK562: nat > nat > nat ).
thf(func_def_1791,type,
sK563: nat > nat > nat ).
thf(func_def_1792,type,
sK564: ( int > $o ) > int > int ).
thf(func_def_1793,type,
sK565: real > int ).
thf(func_def_1794,type,
sK566: ( num > int ) > num ).
thf(func_def_1795,type,
sK567: ( num > int ) > num ).
thf(func_def_1796,type,
sK568: ( nat > nat > $o ) > nat ).
thf(func_def_1797,type,
sK569: ( nat > nat > $o ) > nat ).
thf(func_def_1798,type,
sK570: ( nat > nat > $o ) > nat ).
thf(func_def_1799,type,
sK571: ( nat > nat > $o ) > nat ).
thf(func_def_1800,type,
sK572: nat > nat > nat ).
thf(func_def_1801,type,
sK573: rat > rat > rat > rat ).
thf(func_def_1802,type,
sK574: nat > nat > nat > nat ).
thf(func_def_1803,type,
sK575: ( real > int ) > real ).
thf(func_def_1804,type,
sK576: ( real > int ) > real ).
thf(func_def_1805,type,
sK577: ( nat > $o ) > nat > nat > nat ).
thf(func_def_1806,type,
sK578: real > real > real > real ).
thf(func_def_1807,type,
sK579: ( nat > nat ) > nat ).
thf(func_def_1808,type,
sK580: list_VEBT_VEBT > nat > nat > nat > nat > nat ).
thf(func_def_1809,type,
sK581: list_VEBT_VEBT > nat > nat > nat > nat > nat ).
thf(func_def_1810,type,
sK582: vEBT_VEBT > list_VEBT_VEBT > nat > nat ).
thf(func_def_1811,type,
sK583: vEBT_VEBT > list_VEBT_VEBT > nat > nat ).
thf(func_def_1812,type,
sK584: nat > list_VEBT_VEBT > vEBT_VEBT ).
thf(func_def_1813,type,
sK585: list_VEBT_VEBT > vEBT_VEBT ).
thf(func_def_1814,type,
sK586: list_VEBT_VEBT > nat ).
thf(func_def_1815,type,
sK587: ( nat > $o ) > nat ).
thf(func_def_1816,type,
sK588: ( real > real > $o ) > real > real > real ).
thf(func_def_1817,type,
sK589: real > ( real > real > $o ) > real > real > real ).
thf(func_def_1818,type,
sK590: real > ( real > real > $o ) > real > real > real ).
thf(func_def_1819,type,
sK591: ( real > real > $o ) > real ).
thf(func_def_1820,type,
sK592: ( real > real > $o ) > real ).
thf(func_def_1821,type,
sK593: ( real > real > $o ) > real ).
thf(func_def_1822,type,
sK594: ( int > num ) > ( set_int > $o ) > set_int ).
thf(func_def_1823,type,
sK595: ( int > num ) > ( set_int > $o ) > int ).
thf(func_def_1824,type,
sK596: real > real > nat ).
thf(func_def_1825,type,
sK597: set_nat > nat ).
thf(func_def_1826,type,
sK598: ( int > rat ) > int ).
thf(func_def_1827,type,
sK599: ( int > rat ) > int ).
thf(func_def_1828,type,
sK600: rat > rat ).
thf(func_def_1829,type,
sK601: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1830,type,
sK602: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1831,type,
sK603: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_1832,type,
sK604: ( real > rat ) > real ).
thf(func_def_1833,type,
sK605: ( real > rat ) > real ).
thf(func_def_1834,type,
sK606: ( real > real ) > real ).
thf(func_def_1835,type,
sK607: ( real > real ) > real ).
thf(func_def_1836,type,
sK608: ( int > int > $o ) > set_int > int ).
thf(func_def_1837,type,
sK609: ( int > int > $o ) > int ).
thf(func_def_1838,type,
sK610: ( int > int > $o ) > int ).
thf(func_def_1839,type,
sK611: ( int > int > $o ) > int ).
thf(func_def_1840,type,
sK612: ( int > int > $o ) > int ).
thf(func_def_1841,type,
sK613: set_nat > set_nat ).
thf(func_def_1842,type,
sK614: set_nat > nat ).
thf(func_def_1843,type,
sK615: ( real > rat ) > real ).
thf(func_def_1844,type,
sK616: ( real > rat ) > real ).
thf(func_def_1845,type,
sK617: ( real > real ) > real ).
thf(func_def_1846,type,
sK618: ( real > real ) > real ).
thf(func_def_1847,type,
sK619: real > real > real ).
thf(func_def_1848,type,
sK620: int > int > int ).
thf(func_def_1849,type,
sK621: ( real > nat ) > ( set_real > $o ) > set_real ).
thf(func_def_1850,type,
sK622: ( real > nat ) > ( set_real > $o ) > real ).
thf(func_def_1851,type,
sK623: ( num > real ) > num ).
thf(func_def_1852,type,
sK624: ( num > real ) > num ).
thf(func_def_1853,type,
sK625: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1854,type,
sK626: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1855,type,
sK627: vEBT_VEBT > nat ).
thf(func_def_1856,type,
sK628: vEBT_VEBT > option4927543243414619207at_nat ).
thf(func_def_1857,type,
sK629: vEBT_VEBT > $o ).
thf(func_def_1858,type,
sK630: vEBT_VEBT > $o ).
thf(func_def_1859,type,
sK631: nat > ( nat > vEBT_VEBT > $o ) > list_VEBT_VEBT ).
thf(func_def_1860,type,
sK632: nat > ( nat > vEBT_VEBT > $o ) > nat ).
thf(func_def_1861,type,
sK633: nat > ( nat > vEBT_VEBT > $o ) > vEBT_VEBT ).
thf(func_def_1862,type,
sK634: list_VEBT_VEBT > nat > ( nat > vEBT_VEBT > $o ) > nat ).
thf(func_def_1863,type,
sK635: rat > rat ).
thf(func_def_1864,type,
sK636: rat > rat ).
thf(func_def_1865,type,
sK637: ( rat > nat ) > rat ).
thf(func_def_1866,type,
sK638: ( rat > nat ) > rat ).
thf(func_def_1867,type,
sK639: set_real > real ).
thf(func_def_1868,type,
sK640: ( nat > rat ) > nat ).
thf(func_def_1869,type,
sK641: ( nat > rat ) > nat ).
thf(func_def_1870,type,
sK642: set_complex > ( int > complex > $o ) > set_int > int ).
thf(func_def_1871,type,
sK643: set_complex > ( int > complex > $o ) > set_int > complex ).
thf(func_def_1872,type,
sK644: ( set_int > $o ) > int ).
thf(func_def_1873,type,
sK645: ( set_int > $o ) > set_int ).
thf(func_def_1874,type,
sK646: set_nat > nat ).
thf(func_def_1875,type,
sK647: ( rat > real ) > rat ).
thf(func_def_1876,type,
sK648: ( rat > real ) > rat ).
thf(func_def_1877,type,
sK649: ( nat > nat ) > nat ).
thf(func_def_1878,type,
sK650: ( nat > nat ) > nat ).
thf(func_def_1879,type,
sK651: set_nat > nat ).
thf(func_def_1880,type,
sK652: nat > set_nat > nat ).
thf(func_def_1881,type,
sK653: real > real > real ).
thf(func_def_1882,type,
sK654: num > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_1883,type,
sK655: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_1884,type,
sK656: num > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_1885,type,
sK657: int > int > int ).
thf(func_def_1886,type,
sK658: num > num ).
thf(func_def_1887,type,
sK659: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > nat ).
thf(func_def_1888,type,
sK660: int > int ).
thf(func_def_1889,type,
sK661: ( rat > rat ) > rat ).
thf(func_def_1890,type,
sK662: ( rat > rat ) > rat ).
thf(func_def_1891,type,
sK663: set_nat > nat > nat ).
thf(func_def_1892,type,
sK664: ( num > nat ) > num ).
thf(func_def_1893,type,
sK665: ( num > nat ) > num ).
thf(func_def_1894,type,
sK666: ( nat > rat ) > nat ).
thf(func_def_1895,type,
sK667: ( nat > rat ) > nat ).
thf(func_def_1896,type,
sK668: ( real > num ) > real ).
thf(func_def_1897,type,
sK669: ( real > num ) > real ).
thf(func_def_1898,type,
sK670: real > real > real > real ).
thf(func_def_1899,type,
sK671: int > int ).
thf(func_def_1900,type,
sK672: ( num > int ) > num ).
thf(func_def_1901,type,
sK673: ( num > int ) > num ).
thf(func_def_1902,type,
sK674: ( nat > real ) > nat ).
thf(func_def_1903,type,
sK675: ( nat > real ) > nat ).
thf(func_def_1904,type,
sK676: int > int ).
thf(func_def_1905,type,
sK677: set_int > int ).
thf(func_def_1906,type,
sK678: set_complex > ( nat > complex > $o ) > set_nat > nat ).
thf(func_def_1907,type,
sK679: set_complex > ( nat > complex > $o ) > set_nat > complex ).
thf(func_def_1908,type,
sK680: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_1909,type,
sK681: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_1910,type,
sK682: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_1911,type,
sK683: vEBT_VEBT > nat ).
thf(func_def_1912,type,
sK684: ( nat > int ) > nat ).
thf(func_def_1913,type,
sK685: int > int > int ).
thf(func_def_1914,type,
sK686: num > num ).
thf(func_def_1915,type,
sK687: set_nat > nat ).
thf(func_def_1916,type,
sK688: num > num ).
thf(func_def_1917,type,
sK689: nat > nat ).
thf(func_def_1918,type,
sK690: set_real > real ).
thf(func_def_1919,type,
sK691: real > real ).
thf(func_def_1920,type,
sK692: set_int > set_int ).
thf(func_def_1921,type,
sK693: set_int > int ).
thf(func_def_1922,type,
sK694: real > real ).
thf(func_def_1923,type,
sK695: rat > rat ).
thf(func_def_1924,type,
sK696: ( num > rat ) > num ).
thf(func_def_1925,type,
sK697: ( num > rat ) > num ).
thf(func_def_1926,type,
sK698: ( nat > nat > $o ) > nat ).
thf(func_def_1927,type,
sK699: ( nat > nat > $o ) > nat ).
thf(func_def_1928,type,
sK700: ( nat > nat > $o ) > nat ).
thf(func_def_1929,type,
sK701: ( nat > nat > $o ) > nat ).
thf(func_def_1930,type,
sK702: nat > nat ).
thf(func_def_1931,type,
sK703: ( nat > rat ) > nat ).
thf(func_def_1932,type,
sK704: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1933,type,
sK705: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1934,type,
sK706: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_1935,type,
sK707: ( nat > $o ) > nat ).
thf(func_def_1936,type,
sK708: ( num > rat ) > num ).
thf(func_def_1937,type,
sK709: ( num > rat ) > num ).
thf(func_def_1938,type,
sK710: rat > rat > rat > rat ).
thf(func_def_1939,type,
sK711: real > nat > real ).
thf(func_def_1940,type,
sK712: set_real > ( set_real > $o ) > set_real ).
thf(func_def_1941,type,
sK713: ( set_nat > $o ) > nat ).
thf(func_def_1942,type,
sK714: ( set_nat > $o ) > set_nat ).
thf(func_def_1943,type,
sK715: ( set_nat > $o ) > nat ).
thf(func_def_1944,type,
sK716: set_real > real > real > set_real > set_real ).
thf(func_def_1945,type,
sK717: ( rat > rat ) > rat ).
thf(func_def_1946,type,
sK718: ( rat > rat ) > rat ).
thf(func_def_1947,type,
sK719: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_1948,type,
sK720: int > int > int ).
thf(func_def_1949,type,
sK721: ( real > nat ) > real ).
thf(func_def_1950,type,
sK722: ( real > nat ) > real ).
thf(func_def_1951,type,
sK723: nat > nat > nat ).
thf(func_def_1952,type,
sK724: ( set_int > $o ) > set_int ).
thf(func_def_1953,type,
sK725: ( set_int > $o ) > int ).
thf(func_def_1954,type,
sK726: ( set_int > $o ) > set_int ).
thf(func_def_1955,type,
sK727: ( rat > nat ) > rat ).
thf(func_def_1956,type,
sK728: ( rat > nat ) > rat ).
thf(func_def_1957,type,
sK729: ( set_real > $o ) > set_real ).
thf(func_def_1958,type,
sK730: ( set_real > $o ) > real ).
thf(func_def_1959,type,
sK731: ( nat > rat ) > ( set_nat > $o ) > nat ).
thf(func_def_1960,type,
sK732: ( nat > rat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_1961,type,
sK733: set_nat > nat ).
thf(func_def_1962,type,
sK734: nat > nat ).
thf(func_def_1963,type,
sK735: rat > rat ).
thf(func_def_1964,type,
sK736: ( nat > nat > $o ) > nat ).
thf(func_def_1965,type,
sK737: ( nat > nat > $o ) > nat ).
thf(func_def_1966,type,
sK738: ( nat > nat > $o ) > nat ).
thf(func_def_1967,type,
sK739: ( nat > nat > $o ) > nat ).
thf(func_def_1968,type,
sK740: ( nat > nat > $o ) > nat ).
thf(func_def_1969,type,
sK741: set_nat > ( set_nat > $o ) > set_nat ).
thf(func_def_1970,type,
sK742: set_nat > ( set_nat > $o ) > nat ).
thf(func_def_1971,type,
sK743: ( rat > num ) > rat ).
thf(func_def_1972,type,
sK744: ( rat > num ) > rat ).
thf(func_def_1973,type,
sK745: int > nat ).
thf(func_def_1974,type,
sK746: int > nat ).
thf(func_def_1975,type,
sK747: ( rat > num ) > rat ).
thf(func_def_1976,type,
sK748: ( rat > num ) > rat ).
thf(func_def_1977,type,
sK749: nat > nat ).
thf(func_def_1978,type,
sK750: nat > nat ).
thf(func_def_1979,type,
sK751: ( set_int > $o ) > set_int > set_int ).
thf(func_def_1980,type,
sK752: ( set_int > $o ) > set_int > int ).
thf(func_def_1981,type,
sK753: ( nat > real ) > nat > nat ).
thf(func_def_1982,type,
sK754: ( nat > real ) > nat > real ).
thf(func_def_1983,type,
sK755: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_1984,type,
sK756: list_VEBT_VEBT > vEBT_VEBT ).
thf(func_def_1985,type,
sK757: list_VEBT_VEBT > nat ).
thf(func_def_1986,type,
sK758: vEBT_VEBT > nat ).
thf(func_def_1987,type,
sK759: ( set_int > $o ) > int ).
thf(func_def_1988,type,
sK760: ( set_int > $o ) > set_int ).
thf(func_def_1989,type,
sK761: nat > ( nat > $o ) > nat ).
thf(func_def_1990,type,
sK762: nat > ( nat > $o ) > nat ).
thf(func_def_1991,type,
sK763: int > int ).
thf(func_def_1992,type,
sK764: ( num > rat ) > num ).
thf(func_def_1993,type,
sK765: ( num > rat ) > num ).
thf(func_def_1994,type,
sK766: nat > real > real ).
thf(func_def_1995,type,
sK767: int > int > ( int > int > $o ) > int ).
thf(func_def_1996,type,
sK768: int > int > ( int > int > $o ) > int ).
thf(func_def_1997,type,
sK769: set_nat > ( set_nat > $o ) > set_nat ).
thf(func_def_1998,type,
sK770: set_nat > set_nat > nat ).
thf(func_def_1999,type,
sK771: ( int > $o ) > int ).
thf(func_def_2000,type,
sK772: rat > rat ).
thf(func_def_2001,type,
sK773: ( nat > real ) > set_nat > ( nat > real ) > nat ).
thf(func_def_2002,type,
sK774: real > real ).
thf(func_def_2003,type,
sK775: ( nat > rat ) > nat ).
thf(func_def_2004,type,
sK776: ( nat > rat ) > nat ).
thf(func_def_2005,type,
sK777: ( nat > $o ) > nat ).
thf(func_def_2006,type,
sK778: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_2007,type,
sK779: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_2008,type,
sK780: real > ( real > $o ) > ( real > $o ) > real ).
thf(func_def_2009,type,
sK781: nat > ( nat > complex ) > nat ).
thf(func_def_2010,type,
sK782: ( nat > complex ) > nat > nat ).
thf(func_def_2011,type,
sK783: option_nat > nat ).
thf(func_def_2012,type,
sK784: ( real > real > $o ) > real ).
thf(func_def_2013,type,
sK785: ( real > real > $o ) > real ).
thf(func_def_2014,type,
sK786: ( real > real > $o ) > real ).
thf(func_def_2015,type,
sK787: ( real > real > $o ) > real ).
thf(func_def_2016,type,
sK788: ( real > real > $o ) > real ).
thf(func_def_2017,type,
sK789: ( int > int > $o ) > int > int > int ).
thf(func_def_2018,type,
sK790: ( int > int > $o ) > int > int > int ).
thf(func_def_2019,type,
sK791: int > int > int ).
thf(func_def_2020,type,
sK792: set_real > real ).
thf(func_def_2021,type,
sK793: set_nat > ( nat > complex ) > set_nat > nat ).
thf(func_def_2022,type,
sK794: ( nat > complex ) > ( nat > complex ) > set_nat > nat ).
thf(func_def_2023,type,
sK795: ( num > num ) > num ).
thf(func_def_2024,type,
sK796: ( num > num ) > num ).
thf(func_def_2025,type,
sK797: ( rat > real ) > rat ).
thf(func_def_2026,type,
sK798: ( rat > real ) > rat ).
thf(func_def_2027,type,
sK799: nat > nat ).
thf(func_def_2028,type,
sK800: ( real > int ) > real ).
thf(func_def_2029,type,
sK801: ( real > int ) > real ).
thf(func_def_2030,type,
sK802: set_nat > nat ).
thf(func_def_2031,type,
sK803: ( nat > $o ) > nat ).
thf(func_def_2032,type,
sK804: real > real ).
thf(func_def_2033,type,
sK805: int > set_int > set_int > int > set_int ).
thf(func_def_2034,type,
sK806: int > nat ).
thf(func_def_2035,type,
sK807: ( nat > real ) > nat > real ).
thf(func_def_2036,type,
sK808: real > real ).
thf(func_def_2037,type,
sK809: ( int > $o ) > int ).
thf(func_def_2038,type,
sK810: ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_2039,type,
sK811: ( real > real > $o ) > real ).
thf(func_def_2040,type,
sK812: ( real > real > $o ) > set_real > real ).
thf(func_def_2041,type,
sK813: ( real > real > $o ) > real ).
thf(func_def_2042,type,
sK814: ( real > real > $o ) > real ).
thf(func_def_2043,type,
sK815: ( real > real > $o ) > real ).
thf(func_def_2044,type,
sK816: ( rat > rat ) > rat ).
thf(func_def_2045,type,
sK817: ( rat > rat ) > rat ).
thf(func_def_2046,type,
sK818: int > int ).
thf(func_def_2047,type,
sK819: ( rat > rat ) > rat ).
thf(func_def_2048,type,
sK820: ( rat > rat ) > rat ).
thf(func_def_2049,type,
sK821: ( rat > rat ) > rat ).
thf(func_def_2050,type,
sK822: ( rat > rat ) > rat ).
thf(func_def_2051,type,
sK823: ( set_real > $o ) > real ).
thf(func_def_2052,type,
sK824: ( set_real > $o ) > set_real ).
thf(func_def_2053,type,
sK825: nat > nat > ( nat > $o ) > nat ).
thf(func_def_2054,type,
sK826: nat > nat > ( nat > $o ) > nat ).
thf(func_def_2055,type,
sK827: ( num > rat ) > num ).
thf(func_def_2056,type,
sK828: ( num > rat ) > num ).
thf(func_def_2057,type,
sK829: ( nat > num ) > nat ).
thf(func_def_2058,type,
sK830: ( nat > real ) > nat ).
thf(func_def_2059,type,
sK831: ( nat > real ) > nat ).
thf(func_def_2060,type,
sK832: product_prod_nat_nat > nat ).
thf(func_def_2061,type,
sK833: product_prod_nat_nat > nat ).
thf(func_def_2062,type,
sK834: option4927543243414619207at_nat > product_prod_nat_nat ).
thf(func_def_2063,type,
sK835: num > num ).
thf(func_def_2064,type,
sK836: nat > ( nat > $o ) > nat ).
thf(func_def_2065,type,
sK837: nat > ( nat > $o ) > nat ).
thf(func_def_2066,type,
sK838: nat > vEBT_VEBT > nat ).
thf(func_def_2067,type,
sK839: int > ( int > $o ) > int > int ).
thf(func_def_2068,type,
sK840: int > ( int > $o ) > int > int ).
thf(func_def_2069,type,
sK841: ( int > $o ) > int > int > int ).
thf(func_def_2070,type,
sK842: ( int > $o ) > int > int > int ).
thf(func_def_2071,type,
sK843: set_nat > nat ).
thf(func_def_2072,type,
sK844: nat > set_nat > nat ).
thf(func_def_2073,type,
sK845: ( set_nat > $o ) > set_nat ).
thf(func_def_2074,type,
sK846: ( nat > $o ) > nat > nat > nat ).
thf(func_def_2075,type,
sK847: nat > ( nat > $o ) > nat > nat ).
thf(func_def_2076,type,
sK848: set_real > set_complex > ( real > complex > $o ) > complex ).
thf(func_def_2077,type,
sK849: set_real > set_complex > ( real > complex > $o ) > real ).
thf(func_def_2078,type,
sK850: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_2079,type,
sK851: ( num > rat ) > num ).
thf(func_def_2080,type,
sK852: ( num > rat ) > num ).
thf(func_def_2081,type,
sK853: vEBT_VEBT > nat > nat ).
thf(func_def_2082,type,
sK854: vEBT_VEBT > nat > nat ).
thf(func_def_2083,type,
sK855: vEBT_VEBT > nat > nat ).
thf(func_def_2084,type,
sK856: vEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_2085,type,
sK857: vEBT_VEBT > nat > list_VEBT_VEBT ).
thf(func_def_2086,type,
sK858: nat > vEBT_VEBT > nat ).
thf(func_def_2087,type,
sK859: nat > vEBT_VEBT > nat ).
thf(func_def_2088,type,
sK860: nat > vEBT_VEBT > nat ).
thf(func_def_2089,type,
sK861: nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_2090,type,
sK862: nat > vEBT_VEBT > nat ).
thf(func_def_2091,type,
sK863: nat > vEBT_VEBT > vEBT_VEBT ).
thf(func_def_2092,type,
sK864: nat > vEBT_VEBT > nat ).
thf(func_def_2093,type,
sK865: nat > nat > vEBT_VEBT > nat ).
thf(func_def_2094,type,
sK866: vEBT_VEBT > nat > nat ).
thf(func_def_2095,type,
sK867: vEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_2096,type,
sK868: vEBT_VEBT > nat > list_VEBT_VEBT ).
thf(func_def_2097,type,
sK869: vEBT_VEBT > nat > nat ).
thf(func_def_2098,type,
sK870: vEBT_VEBT > nat > nat ).
thf(func_def_2099,type,
sK871: vEBT_VEBT > nat > nat ).
thf(func_def_2100,type,
sK872: vEBT_VEBT > nat > nat ).
thf(func_def_2101,type,
sK873: nat > vEBT_VEBT > nat > nat ).
thf(func_def_2102,type,
sK874: vEBT_VEBT > $o ).
thf(func_def_2103,type,
sK875: vEBT_VEBT > $o ).
thf(func_def_2104,type,
sK876: nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_2105,type,
sK877: nat > vEBT_VEBT > nat ).
thf(func_def_2106,type,
sK878: nat > vEBT_VEBT > vEBT_VEBT ).
thf(func_def_2107,type,
sK879: nat > vEBT_VEBT > nat ).
thf(func_def_2108,type,
sK880: nat > vEBT_VEBT > nat ).
thf(func_def_2109,type,
sK881: ( num > rat ) > num ).
thf(func_def_2110,type,
sK882: ( num > rat ) > num ).
thf(func_def_2111,type,
sK883: ( nat > nat > $o ) > nat ).
thf(func_def_2112,type,
sK884: ( nat > nat > $o ) > nat ).
thf(func_def_2113,type,
sK885: ( nat > nat > $o ) > nat ).
thf(func_def_2114,type,
sK886: ( nat > nat > $o ) > nat ).
thf(func_def_2115,type,
sK887: ( nat > nat > $o ) > nat ).
thf(func_def_2116,type,
sK888: ( real > num ) > real ).
thf(func_def_2117,type,
sK889: ( real > num ) > real ).
thf(func_def_2118,type,
sK890: set_int > set_nat > ( int > nat > $o ) > int ).
thf(func_def_2119,type,
sK891: set_int > set_nat > ( int > nat > $o ) > nat ).
thf(func_def_2120,type,
sK892: ( rat > int ) > rat ).
thf(func_def_2121,type,
sK893: ( rat > int ) > rat ).
thf(func_def_2122,type,
sK894: int > nat ).
thf(func_def_2123,type,
sK895: ( num > num > $o ) > num ).
thf(func_def_2124,type,
sK896: ( num > num > $o ) > num ).
thf(func_def_2125,type,
sK897: ( num > num > $o ) > num ).
thf(func_def_2126,type,
sK898: ( num > num > $o ) > num ).
thf(func_def_2127,type,
sK899: ( nat > int ) > nat ).
thf(func_def_2128,type,
sK900: ( option4927543243414619207at_nat > option_nat > $o ) > option4927543243414619207at_nat > option_nat > product_prod_nat_nat ).
thf(func_def_2129,type,
sK901: ( option4927543243414619207at_nat > option_nat > $o ) > option4927543243414619207at_nat > option_nat > nat ).
thf(func_def_2130,type,
sK902: nat > nat ).
thf(func_def_2131,type,
sK903: num > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_2132,type,
sK904: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_2133,type,
sK905: num > ( num > $o ) > ( num > $o ) > num ).
thf(func_def_2134,type,
sK906: vEBT_VEBT > option_nat > nat ).
thf(func_def_2135,type,
sK907: vEBT_VEBT > option_nat > list_VEBT_VEBT ).
thf(func_def_2136,type,
sK908: vEBT_VEBT > option_nat > nat ).
thf(func_def_2137,type,
sK909: vEBT_VEBT > option_nat > nat ).
thf(func_def_2138,type,
sK910: vEBT_VEBT > option_nat > vEBT_VEBT ).
thf(func_def_2139,type,
sK911: vEBT_VEBT > option_nat > $o ).
thf(func_def_2140,type,
sK912: vEBT_VEBT > option_nat > $o ).
thf(func_def_2141,type,
sK913: vEBT_VEBT > nat ).
thf(func_def_2142,type,
sK914: vEBT_VEBT > list_VEBT_VEBT ).
thf(func_def_2143,type,
sK915: vEBT_VEBT > vEBT_VEBT ).
thf(func_def_2144,type,
sK916: ( nat > rat ) > nat ).
thf(func_def_2145,type,
sK917: vEBT_VEBT > $o ).
thf(func_def_2146,type,
sK918: vEBT_VEBT > $o ).
thf(func_def_2147,type,
sK919: ( num > real ) > num ).
thf(func_def_2148,type,
sK920: ( num > real ) > num ).
thf(func_def_2149,type,
sK921: set_real > real ).
thf(func_def_2150,type,
sK922: ( nat > nat > $o ) > nat ).
thf(func_def_2151,type,
sK923: set_nat > ( nat > nat > $o ) > nat ).
thf(func_def_2152,type,
sK924: ( nat > nat > $o ) > nat ).
thf(func_def_2153,type,
sK925: ( nat > nat > $o ) > nat ).
thf(func_def_2154,type,
sK926: ( nat > nat > $o ) > nat ).
thf(func_def_2155,type,
sK927: nat > ( nat > complex ) > complex ).
thf(func_def_2156,type,
sK928: ( nat > num ) > nat ).
thf(func_def_2157,type,
sK929: ( nat > num ) > nat ).
thf(func_def_2158,type,
sK930: ( int > real ) > int ).
thf(func_def_2159,type,
sK931: ( int > real ) > int ).
thf(func_def_2160,type,
sK932: nat > nat > nat ).
thf(func_def_2161,type,
sK933: ( rat > int ) > rat ).
thf(func_def_2162,type,
sK934: ( rat > int ) > rat ).
thf(func_def_2163,type,
sK935: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_2164,type,
sK936: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_2165,type,
sK937: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_2166,type,
sK938: nat > ( nat > $o ) > nat ).
thf(func_def_2167,type,
sK939: nat > ( nat > $o ) > nat ).
thf(func_def_2168,type,
sK940: ( rat > rat ) > rat ).
thf(func_def_2169,type,
sK941: ( rat > rat ) > rat ).
thf(func_def_2170,type,
sK942: real > real ).
thf(func_def_2171,type,
sK943: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_2172,type,
sK944: ( int > $o ) > int > int ).
thf(func_def_2173,type,
sK945: ( int > $o ) > int > int ).
thf(func_def_2174,type,
sK946: ( int > $o ) > int ).
thf(func_def_2175,type,
sK947: nat > nat > set_nat > set_nat > set_nat ).
thf(func_def_2176,type,
sK948: ( nat > nat ) > nat ).
thf(func_def_2177,type,
sK949: ( nat > nat ) > nat ).
thf(func_def_2178,type,
sK950: real > real ).
thf(func_def_2179,type,
sK951: ( nat > $o ) > nat ).
thf(func_def_2180,type,
sK952: ( nat > $o ) > nat ).
thf(func_def_2181,type,
sK953: int > int ).
thf(func_def_2182,type,
sK954: nat > nat ).
thf(func_def_2183,type,
sK955: ( nat > $o ) > nat > nat > nat ).
thf(func_def_2184,type,
sK956: ( set_real > $o ) > set_real > set_real ).
thf(func_def_2185,type,
sK957: ( rat > real ) > rat ).
thf(func_def_2186,type,
sK958: ( rat > real ) > rat ).
thf(func_def_2187,type,
sK959: ( rat > rat ) > rat ).
thf(func_def_2188,type,
sK960: ( rat > rat ) > rat ).
thf(func_def_2189,type,
sK961: ( nat > nat > $o ) > nat ).
thf(func_def_2190,type,
sK962: ( nat > nat > $o ) > nat ).
thf(func_def_2191,type,
sK963: ( nat > nat > $o ) > nat ).
thf(func_def_2192,type,
sK964: rat > rat ).
thf(func_def_2193,type,
sK965: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(func_def_2194,type,
sK966: ( nat > $o ) > nat ).
thf(func_def_2195,type,
sK967: ( nat > complex ) > set_nat > set_nat > nat ).
thf(func_def_2196,type,
sK968: set_nat > ( nat > complex ) > set_nat > nat ).
thf(func_def_2197,type,
sK969: int > int > ( int > $o ) > int ).
thf(func_def_2198,type,
sK970: int > int > ( int > $o ) > int ).
thf(func_def_2199,type,
sK971: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).
thf(func_def_2200,type,
sK972: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > nat ).
thf(func_def_2201,type,
sK973: ( nat > $o ) > nat ).
thf(func_def_2202,type,
sK974: nat > nat > nat ).
thf(func_def_2203,type,
sK975: option4927543243414619207at_nat > product_prod_nat_nat ).
thf(func_def_2204,type,
sK976: set_int > int ).
thf(func_def_2205,type,
sK977: int > ( int > $o ) > int > int ).
thf(func_def_2206,type,
sK978: int > ( int > $o ) > int > int ).
thf(func_def_2207,type,
sK979: int > ( int > $o ) > int > int ).
thf(func_def_2208,type,
sK980: int > ( int > $o ) > int > int ).
thf(func_def_2209,type,
sK981: ( list_VEBT_VEBT > $o ) > list_VEBT_VEBT ).
thf(func_def_2210,type,
sK982: int > int ).
thf(func_def_2211,type,
sK983: real > real ).
thf(func_def_2212,type,
sK984: real > set_real > set_real ).
thf(func_def_2213,type,
sK985: set_int > set_real > ( real > int > $o ) > real ).
thf(func_def_2214,type,
sK986: set_int > set_real > ( real > int > $o ) > int ).
thf(func_def_2215,type,
sK987: set_nat > nat ).
thf(func_def_2216,type,
sK988: ( rat > num ) > rat ).
thf(func_def_2217,type,
sK989: ( rat > num ) > rat ).
thf(func_def_2218,type,
sK990: ( rat > num ) > rat ).
thf(func_def_2219,type,
sK991: ( rat > num ) > rat ).
thf(func_def_2220,type,
sK992: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).
thf(func_def_2221,type,
sK993: ( num > num ) > num ).
thf(func_def_2222,type,
sK994: ( num > num ) > num ).
thf(func_def_2223,type,
sK995: set_nat > ( nat > nat ) > nat ).
thf(func_def_2224,type,
sK996: ( nat > complex ) > nat > ( nat > complex ) > complex ).
thf(func_def_2225,type,
sK997: ( nat > complex ) > nat > ( nat > complex ) > nat ).
thf(func_def_2226,type,
sK998: real > int ).
thf(func_def_2227,type,
sK999: ( rat > num ) > rat ).
thf(func_def_2228,type,
sK1000: ( rat > num ) > rat ).
thf(func_def_2229,type,
sK1001: real > real ).
thf(func_def_2230,type,
sK1002: ( rat > rat ) > rat ).
thf(func_def_2231,type,
sK1003: ( rat > rat ) > rat ).
thf(func_def_2232,type,
sK1004: ( rat > rat ) > rat ).
thf(func_def_2233,type,
sK1005: ( rat > rat ) > rat ).
thf(func_def_2234,type,
sK1006: set_int > int ).
thf(func_def_2235,type,
sK1007: nat > nat > nat ).
thf(func_def_2236,type,
sK1008: vEBT_VEBT > $o ).
thf(func_def_2237,type,
sK1009: vEBT_VEBT > $o ).
thf(func_def_2238,type,
sK1010: ( nat > $o ) > nat ).
thf(func_def_2239,type,
sK1011: real > real ).
thf(func_def_2240,type,
sK1012: ( nat > set_int ) > nat ).
thf(func_def_2241,type,
sK1013: nat > nat ).
thf(func_def_2242,type,
sK1014: ( num > int ) > num ).
thf(func_def_2243,type,
sK1015: ( num > int ) > num ).
thf(func_def_2244,type,
sK1016: nat > ( nat > $o ) > nat ).
thf(func_def_2245,type,
sK1017: nat > ( nat > $o ) > nat ).
thf(func_def_2246,type,
sK1018: rat > rat > rat ).
thf(func_def_2247,type,
sK1019: ( real > rat ) > ( set_real > $o ) > set_real ).
thf(func_def_2248,type,
sK1020: ( real > rat ) > ( set_real > $o ) > real ).
thf(func_def_2249,type,
sK1021: set_nat > nat ).
thf(func_def_2250,type,
sK1022: ( int > rat ) > int ).
thf(func_def_2251,type,
sK1023: ( int > rat ) > int ).
thf(func_def_2252,type,
sK1024: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_2253,type,
sK1025: rat > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_2254,type,
sK1026: rat > ( rat > $o ) > ( rat > $o ) > rat ).
thf(func_def_2255,type,
sK1027: nat > nat > ( nat > $o ) > nat ).
thf(func_def_2256,type,
sK1028: nat > nat > ( nat > $o ) > nat ).
thf(func_def_2257,type,
sK1029: ( rat > nat ) > rat ).
thf(func_def_2258,type,
sK1030: ( rat > nat ) > rat ).
thf(func_def_2259,type,
sK1031: ( nat > num ) > nat ).
thf(func_def_2260,type,
sK1032: ( rat > int ) > rat ).
thf(func_def_2261,type,
sK1033: ( rat > int ) > rat ).
thf(func_def_2262,type,
sK1034: int > int ).
thf(func_def_2263,type,
sK1035: ( nat > num ) > nat ).
thf(func_def_2264,type,
sK1036: vEBT_VEBT > list_VEBT_VEBT > nat ).
thf(func_def_2265,type,
sK1037: option4927543243414619207at_nat > ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > product_prod_nat_nat ).
thf(func_def_2266,type,
sK1038: option4927543243414619207at_nat > ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > product_prod_nat_nat ).
thf(func_def_2267,type,
sK1039: ( rat > num ) > rat ).
thf(func_def_2268,type,
sK1040: ( rat > num ) > rat ).
thf(func_def_2269,type,
sK1041: ( int > $o ) > int > int ).
thf(f9,axiom,
ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062) ).
thf(f24,axiom,
! [X0: vEBT_VEBT] :
( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
=> ( ( vEBT_invar_vebt @ X0 @ na )
& ! [X2: nat,X1: nat] :
( ( vEBT_V8194947554948674370ptions @ X0 @ X2 )
& ( ( X1 != X2 )
= ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X1 ) @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23__C4_OIH_C_I1_J) ).
thf(f138,axiom,
! [X0: nat,X1: list_VEBT_VEBT] :
( ( ord_less_nat @ X0 @ ( size_s6755466524823107622T_VEBT @ X1 ) )
=> ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X1 @ X0 ) @ ( set_VEBT_VEBT2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_nth__mem) ).
thf(f9373,conjecture,
vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f9374,negated_conjecture,
~ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ),
inference(negated_conjecture,[status(cth)],[f9373]) ).
thf(f14189,plain,
! [X0: vEBT_VEBT] :
( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
=> ( ( vEBT_invar_vebt @ X0 @ na )
& ! [X1: nat,X2: nat] :
( ( vEBT_V8194947554948674370ptions @ X0 @ X1 )
& ( ( X1 != X2 )
= ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X2 ) @ X1 ) ) ) ) ),
inference(rectify,[],[f24]) ).
thf(f14190,plain,
! [X0: vEBT_VEBT] :
( ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
= $true )
=> ( ( ( vEBT_invar_vebt @ X0 @ na )
= $true )
& ! [X2: nat,X1: nat] :
( ( ( X1 != X2 )
& ( ( vEBT_V8194947554948674370ptions @ X0 @ X1 )
= $true ) )
<=> ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X2 ) @ X1 )
= $true ) ) ) ),
inference(fool_elimination,[],[f14189]) ).
thf(f16004,plain,
ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ),
inference(rectify,[],[f9]) ).
thf(f16005,plain,
( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
= $true ),
inference(fool_elimination,[],[f16004]) ).
thf(f16719,plain,
~ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ),
inference(rectify,[],[f9374]) ).
thf(f16720,plain,
( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
!= $true ),
inference(fool_elimination,[],[f16719]) ).
thf(f18919,plain,
! [X0: nat,X1: list_VEBT_VEBT] :
( ( ord_less_nat @ X0 @ ( size_s6755466524823107622T_VEBT @ X1 ) )
=> ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X1 @ X0 ) @ ( set_VEBT_VEBT2 @ X1 ) ) ),
inference(rectify,[],[f138]) ).
thf(f18920,plain,
! [X1: list_VEBT_VEBT,X0: nat] :
( ( ( ord_less_nat @ X0 @ ( size_s6755466524823107622T_VEBT @ X1 ) )
= $true )
=> ( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X1 @ X0 ) @ ( set_VEBT_VEBT2 @ X1 ) )
= $true ) ),
inference(fool_elimination,[],[f18919]) ).
thf(f26248,plain,
( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
!= $true ),
inference(flattening,[],[f16720]) ).
thf(f28646,plain,
! [X0: nat,X1: list_VEBT_VEBT] :
( ( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X1 @ X0 ) @ ( set_VEBT_VEBT2 @ X1 ) )
= $true )
| ( ( ord_less_nat @ X0 @ ( size_s6755466524823107622T_VEBT @ X1 ) )
!= $true ) ),
inference(ennf_transformation,[],[f18920]) ).
thf(f29500,plain,
! [X0: vEBT_VEBT] :
( ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
!= $true )
| ( ( ( vEBT_invar_vebt @ X0 @ na )
= $true )
& ! [X2: nat,X1: nat] :
( ( ( X1 != X2 )
& ( ( vEBT_V8194947554948674370ptions @ X0 @ X1 )
= $true ) )
<=> ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X2 ) @ X1 )
= $true ) ) ) ),
inference(ennf_transformation,[],[f14190]) ).
thf(f32099,plain,
! [X0: vEBT_VEBT] :
( ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
!= $true )
| ( ( ( vEBT_invar_vebt @ X0 @ na )
= $true )
& ! [X2: nat,X1: nat] :
( ( ( ( X1 != X2 )
& ( ( vEBT_V8194947554948674370ptions @ X0 @ X1 )
= $true ) )
| ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X2 ) @ X1 )
!= $true ) )
& ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X2 ) @ X1 )
= $true )
| ( X1 = X2 )
| ( ( vEBT_V8194947554948674370ptions @ X0 @ X1 )
!= $true ) ) ) ) ),
inference(nnf_transformation,[],[f29500]) ).
thf(f32100,plain,
! [X0: vEBT_VEBT] :
( ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
!= $true )
| ( ( ( vEBT_invar_vebt @ X0 @ na )
= $true )
& ! [X2: nat,X1: nat] :
( ( ( ( X1 != X2 )
& ( ( vEBT_V8194947554948674370ptions @ X0 @ X1 )
= $true ) )
| ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X2 ) @ X1 )
!= $true ) )
& ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X2 ) @ X1 )
= $true )
| ( X1 = X2 )
| ( ( vEBT_V8194947554948674370ptions @ X0 @ X1 )
!= $true ) ) ) ) ),
inference(flattening,[],[f32099]) ).
thf(f32101,plain,
! [X0: vEBT_VEBT] :
( ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
!= $true )
| ( ( ( vEBT_invar_vebt @ X0 @ na )
= $true )
& ! [X1: nat,X2: nat] :
( ( ( ( X1 != X2 )
& ( ( vEBT_V8194947554948674370ptions @ X0 @ X2 )
= $true ) )
| ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X1 ) @ X2 )
!= $true ) )
& ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X1 ) @ X2 )
= $true )
| ( X1 = X2 )
| ( ( vEBT_V8194947554948674370ptions @ X0 @ X2 )
!= $true ) ) ) ) ),
inference(rectify,[],[f32100]) ).
thf(f34530,plain,
( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
= $true ),
inference(cnf_transformation,[],[f16005]) ).
thf(f36437,plain,
( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
!= $true ),
inference(cnf_transformation,[],[f26248]) ).
thf(f36932,plain,
! [X0: nat,X1: list_VEBT_VEBT] :
( ( ( ord_less_nat @ X0 @ ( size_s6755466524823107622T_VEBT @ X1 ) )
!= $true )
| ( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X1 @ X0 ) @ ( set_VEBT_VEBT2 @ X1 ) )
= $true ) ),
inference(cnf_transformation,[],[f28646]) ).
thf(f37542,plain,
! [X0: vEBT_VEBT] :
( ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
!= $true )
| ( ( vEBT_invar_vebt @ X0 @ na )
= $true ) ),
inference(cnf_transformation,[],[f32101]) ).
thf(f41679,definition,
( spl1042_9
<=> ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1042_9])],[avatar_definition]) ).
thf(f41681,plain,
( ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
= $true )
| ~ spl1042_9 ),
inference(avatar_component_clause,[],[f41679]) ).
thf(f41682,plain,
spl1042_9,
inference(avatar_split_clause,[],[f34530,f41679]) ).
thf(f42049,definition,
( spl1042_83
<=> ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1042_83])],[avatar_definition]) ).
thf(f42051,plain,
( ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
!= $true )
| spl1042_83 ),
inference(avatar_component_clause,[],[f42049]) ).
thf(f42052,plain,
~ spl1042_83,
inference(avatar_split_clause,[],[f36437,f42049]) ).
thf(f43022,definition,
( spl1042_274
<=> ( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( set_VEBT_VEBT2 @ treeList ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1042_274])],[avatar_definition]) ).
thf(f43023,plain,
( ( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( set_VEBT_VEBT2 @ treeList ) )
= $true )
| ~ spl1042_274 ),
inference(avatar_component_clause,[],[f43022]) ).
thf(f47659,plain,
( ( $true != $true )
| ( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( set_VEBT_VEBT2 @ treeList ) )
= $true )
| ~ spl1042_9 ),
inference(superposition,[],[f36932,f41681]) ).
thf(f47665,plain,
( ( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( set_VEBT_VEBT2 @ treeList ) )
= $true )
| ~ spl1042_9 ),
inference(trivial_inequality_removal,[],[f47659]) ).
thf(f47669,plain,
( spl1042_274
| ~ spl1042_9 ),
inference(avatar_split_clause,[],[f47665,f41679,f43022]) ).
thf(f47671,plain,
( ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
= $true )
| ( $true != $true )
| ~ spl1042_274 ),
inference(superposition,[],[f37542,f43023]) ).
thf(f47674,plain,
( ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
= $true )
| ~ spl1042_274 ),
inference(trivial_inequality_removal,[],[f47671]) ).
thf(f47678,plain,
( $false
| spl1042_83
| ~ spl1042_274 ),
inference(forward_subsumption_resolution,[],[f47674,f42051]) ).
thf(f47679,plain,
( spl1042_83
| ~ spl1042_274 ),
inference(avatar_contradiction_clause,[],[f47678]) ).
cnf(s7,plain,
spl1042_9,
inference(sat_conversion,[],[f41682]) ).
cnf(s92,plain,
~ spl1042_83,
inference(sat_conversion,[],[f42052]) ).
cnf(s496,plain,
( ~ spl1042_9
| spl1042_274 ),
inference(sat_conversion,[],[f47669]) ).
cnf(s497,plain,
( spl1042_83
| ~ spl1042_274 ),
inference(sat_conversion,[],[f47679]) ).
cnf(s540,plain,
~ spl1042_274,
inference(rat,[],[s497,s92]) ).
cnf(s541,plain,
~ spl1042_9,
inference(rat,[],[s496,s540]) ).
cnf(s557,plain,
$false,
inference(rat,[],[s7,s541]) ).
thf(f47690,plain,
$false,
inference(avatar_sat_refutation,[],[s557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP256^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n006.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 20:39:29 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running higher-order theorem proving
% 4.47/4.55 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
% 5.54/5.36 % (1272171)Detected a higher-order problem, will run a greedy HOL sequence.
% 5.54/5.36 % (1272179)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=755861631: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_2993 on theBenchmark for (2993ds/634Mi)
% 5.54/5.36 % (1272177)lrs+10_16_si=on:nwc=1.5:random_seed=3622840637:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/18Mi)
% 5.54/5.36 % (1272176)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3081374447:s2a=on:i=87:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/87Mi)
% 5.54/5.36 % (1272182)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.54/5.36 % (1272182)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
% 5.54/5.36 % (1272181)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2292507780:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/75Mi)
% 5.54/5.36 % (1272178)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1333537298:i=3:rtra=on:inj=on:ntd=on_2993 on theBenchmark for (2993ds/3Mi)
% 5.54/5.36 % (1272182)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=18543571:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/157Mi)
% 5.54/5.36 % (1272180)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2060748756:i=24:av=off:rtra=on_2993 on theBenchmark for (2993ds/24Mi)
% 5.54/5.36 % (1272178)Instruction limit reached!
% 5.54/5.36 % (1272178)------------------------------
% 5.54/5.36 % (1272178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/5.36 % (1272178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/5.36 % (1272178)CaDiCaL version: 2.1.3
% 5.54/5.36 % (1272178)Termination reason: Instruction limit
% 5.54/5.36 % (1272178)Termination phase: shuffling
% 5.54/5.36 % (1272178)Time elapsed: 0.007 s
% 5.54/5.36 % (1272178)Peak memory usage: 24 MB
% 5.54/5.36 % (1272178)Instructions burned: 3 (million)
% 5.54/5.36 % (1272177)Instruction limit reached!
% 5.54/5.36 % (1272177)------------------------------
% 5.54/5.36 % (1272177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/5.36 % (1272177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/5.36 % (1272177)CaDiCaL version: 2.1.3
% 5.54/5.36 % (1272177)Termination reason: Instruction limit
% 5.54/5.36 % (1272177)Termination phase: shuffling
% 5.54/5.36 % (1272177)Time elapsed: 0.019 s
% 5.54/5.36 % (1272177)Peak memory usage: 25 MB
% 5.54/5.36 % (1272177)Instructions burned: 19 (million)
% 5.54/5.36 % (1272190)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=94207282:i=2:hud=10:rtra=on_2993 on theBenchmark for (2993ds/2Mi)
% 5.54/5.36 % (1272191)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=669973587:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2993 on theBenchmark for (2993ds/5Mi)
% 5.54/5.36 % (1272190)Instruction limit reached!
% 5.54/5.36 % (1272190)------------------------------
% 5.54/5.36 % (1272190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/5.36 % (1272190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/5.36 % (1272190)CaDiCaL version: 2.1.3
% 5.54/5.36 % (1272190)Termination reason: Instruction limit
% 5.54/5.36 % (1272190)Termination phase: shuffling
% 5.54/5.36 % (1272190)Time elapsed: 0.003 s
% 5.54/5.36 % (1272190)Peak memory usage: 24 MB
% 5.54/5.36 % (1272190)Instructions burned: 2 (million)
% 5.54/5.36 % (1272180)Instruction limit reached!
% 5.54/5.36 % (1272180)------------------------------
% 5.54/5.36 % (1272180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/5.36 % (1272180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/5.36 % (1272180)CaDiCaL version: 2.1.3
% 5.54/5.36 % (1272180)Termination reason: Instruction limit
% 5.54/5.36 % (1272180)Termination phase: shuffling
% 5.54/5.36 % (1272180)Time elapsed: 0.033 s
% 5.54/5.36 % (1272180)Peak memory usage: 25 MB
% 5.54/5.36 % (1272180)Instructions burned: 24 (million)
% 6.34/5.42 % (1272191)Instruction limit reached!
% 6.34/5.42 % (1272191)------------------------------
% 6.34/5.42 % (1272191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/5.42 % (1272191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/5.42 % (1272191)CaDiCaL version: 2.1.3
% 6.34/5.42 % (1272191)Termination reason: Instruction limit
% 6.34/5.42 % (1272191)Termination phase: shuffling
% 6.34/5.42 % (1272191)Time elapsed: 0.008 s
% 6.34/5.42 % (1272191)Peak memory usage: 24 MB
% 6.34/5.42 % (1272191)Instructions burned: 5 (million)
% 6.34/5.42 % (1272176)Instruction limit reached!
% 6.34/5.42 % (1272176)------------------------------
% 6.34/5.42 % (1272176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/5.42 % (1272176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/5.42 % (1272176)CaDiCaL version: 2.1.3
% 6.34/5.42 % (1272176)Termination reason: Instruction limit
% 6.34/5.42 % (1272176)Termination phase: shuffling
% 6.34/5.42 % (1272176)Time elapsed: 0.050 s
% 6.34/5.42 % (1272176)Peak memory usage: 26 MB
% 6.34/5.42 % (1272176)Instructions burned: 88 (million)
% 6.34/5.42 % (1272194)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 6.34/5.42 % (1272196)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
% 6.34/5.42 % (1272196)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 6.34/5.42 % (1272194)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1986819384:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2993 on theBenchmark for (2993ds/7Mi)
% 6.34/5.42 % (1272196)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2671600617:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2993 on theBenchmark for (2993ds/28Mi)
% 6.34/5.42 % (1272197)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=3981042375:i=86:piset=equals:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/86Mi)
% 6.34/5.42 % (1272181)Instruction limit reached!
% 6.34/5.42 % (1272181)------------------------------
% 6.34/5.42 % (1272181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/5.42 % (1272181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/5.42 % (1272181)CaDiCaL version: 2.1.3
% 6.34/5.42 % (1272181)Termination reason: Instruction limit
% 6.34/5.42 % (1272181)Termination phase: shuffling
% 6.34/5.42 % (1272181)Time elapsed: 0.067 s
% 6.34/5.42 % (1272181)Peak memory usage: 26 MB
% 6.34/5.42 % (1272181)Instructions burned: 75 (million)
% 6.34/5.42 % (1272194)Instruction limit reached!
% 6.34/5.42 % (1272194)------------------------------
% 6.34/5.42 % (1272194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/5.42 % (1272194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/5.42 % (1272194)CaDiCaL version: 2.1.3
% 6.34/5.42 % (1272194)Termination reason: Instruction limit
% 6.34/5.42 % (1272194)Termination phase: shuffling
% 6.34/5.42 % (1272194)Time elapsed: 0.012 s
% 6.34/5.42 % (1272194)Peak memory usage: 24 MB
% 6.34/5.42 % (1272194)Instructions burned: 7 (million)
% 6.34/5.42 % (1272195)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1124342336:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2993 on theBenchmark for (2993ds/12Mi)
% 6.34/5.42 % (1272196)Instruction limit reached!
% 6.34/5.42 % (1272196)------------------------------
% 6.34/5.42 % (1272196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/5.42 % (1272196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/5.42 % (1272196)CaDiCaL version: 2.1.3
% 6.34/5.42 % (1272196)Termination reason: Instruction limit
% 6.34/5.42 % (1272196)Termination phase: shuffling
% 6.34/5.42 % (1272196)Time elapsed: 0.025 s
% 6.34/5.42 % (1272196)Peak memory usage: 25 MB
% 6.34/5.42 % (1272196)Instructions burned: 32 (million)
% 6.34/5.42 % (1272203)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 6.34/5.42 % (1272203)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=386217467:i=2:add=on:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 6.34/5.46 % (1272203)Instruction limit reached!
% 6.34/5.46 % (1272203)------------------------------
% 6.34/5.46 % (1272203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/5.46 % (1272203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/5.46 % (1272203)CaDiCaL version: 2.1.3
% 6.34/5.46 % (1272203)Termination reason: Instruction limit
% 6.34/5.46 % (1272203)Termination phase: shuffling
% 6.34/5.46 % (1272203)Time elapsed: 0.004 s
% 6.34/5.46 % (1272203)Peak memory usage: 24 MB
% 6.34/5.46 % (1272203)Instructions burned: 2 (million)
% 6.34/5.46 % (1272201)lrs+10_1_si=on:cs=on:random_seed=303316429:i=8:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/8Mi)
% 6.34/5.46 % (1272195)Instruction limit reached!
% 6.34/5.46 % (1272195)------------------------------
% 6.34/5.46 % (1272195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/5.46 % (1272195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/5.46 % (1272195)CaDiCaL version: 2.1.3
% 6.34/5.46 % (1272195)Termination reason: Instruction limit
% 6.34/5.46 % (1272195)Termination phase: shuffling
% 6.34/5.46 % (1272195)Time elapsed: 0.024 s
% 6.34/5.46 % (1272195)Peak memory usage: 25 MB
% 6.34/5.46 % (1272195)Instructions burned: 13 (million)
% 6.34/5.46 % (1272204)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4012445577:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/38Mi)
% 6.34/5.46 % (1272197)Instruction limit reached!
% 6.34/5.46 % (1272197)------------------------------
% 6.34/5.46 % (1272197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/5.46 % (1272197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/5.46 % (1272197)CaDiCaL version: 2.1.3
% 6.34/5.46 % (1272197)Termination reason: Instruction limit
% 6.34/5.46 % (1272197)Termination phase: shuffling
% 6.34/5.46 % (1272197)Time elapsed: 0.050 s
% 6.34/5.46 % (1272197)Peak memory usage: 27 MB
% 6.34/5.46 % (1272197)Instructions burned: 86 (million)
% 6.34/5.46 % (1272201)Instruction limit reached!
% 6.34/5.46 % (1272201)------------------------------
% 6.34/5.46 % (1272201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/5.46 % (1272201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/5.46 % (1272201)CaDiCaL version: 2.1.3
% 6.34/5.46 % (1272201)Termination reason: Instruction limit
% 6.34/5.46 % (1272201)Termination phase: shuffling
% 6.34/5.46 % (1272201)Time elapsed: 0.019 s
% 6.34/5.46 % (1272201)Peak memory usage: 24 MB
% 6.34/5.46 % (1272201)Instructions burned: 8 (million)
% 6.34/5.46 % (1272207)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=926899182:st=2:i=249:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/249Mi)
% 6.34/5.46 % (1272208)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3061853850:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/25Mi)
% 6.34/5.46 % (1272182)Instruction limit reached!
% 6.34/5.46 % (1272182)------------------------------
% 6.34/5.46 % (1272182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/5.46 % (1272182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/5.46 % (1272182)CaDiCaL version: 2.1.3
% 6.34/5.46 % (1272182)Termination reason: Instruction limit
% 6.34/5.46 % (1272182)Termination phase: shuffling
% 6.34/5.46 % (1272182)Time elapsed: 0.137 s
% 6.34/5.46 % (1272182)Peak memory usage: 28 MB
% 6.34/5.46 % (1272182)Instructions burned: 158 (million)
% 6.34/5.46 % (1272210)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2716733078:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2992 on theBenchmark for (2992ds/14Mi)
% 6.34/5.46 % (1272208)Instruction limit reached!
% 6.34/5.46 % (1272208)------------------------------
% 6.34/5.46 % (1272208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/5.46 % (1272208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/5.46 % (1272208)CaDiCaL version: 2.1.3
% 6.34/5.46 % (1272208)Termination reason: Instruction limit
% 6.34/5.46 % (1272208)Termination phase: shuffling
% 6.34/5.46 % (1272208)Time elapsed: 0.025 s
% 6.86/5.52 % (1272208)Peak memory usage: 25 MB
% 6.86/5.52 % (1272208)Instructions burned: 25 (million)
% 6.86/5.52 % (1272204)Instruction limit reached!
% 6.86/5.52 % (1272204)------------------------------
% 6.86/5.52 % (1272204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.86/5.52 % (1272204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/5.52 % (1272204)CaDiCaL version: 2.1.3
% 6.86/5.52 % (1272204)Termination reason: Instruction limit
% 6.86/5.52 % (1272204)Termination phase: shuffling
% 6.86/5.52 % (1272204)Time elapsed: 0.046 s
% 6.86/5.52 % (1272204)Peak memory usage: 25 MB
% 6.86/5.52 % (1272204)Instructions burned: 39 (million)
% 6.86/5.52 % (1272212)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=436785260:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/327Mi)
% 6.86/5.52 % (1272214)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=840491229:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/14Mi)
% 6.86/5.52 % (1272179)Instruction limit reached!
% 6.86/5.52 % (1272179)------------------------------
% 6.86/5.52 % (1272179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.86/5.52 % (1272179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/5.52 % (1272179)CaDiCaL version: 2.1.3
% 6.86/5.52 % (1272179)Termination reason: Instruction limit
% 6.86/5.52 % (1272179)Termination phase: shuffling
% 6.86/5.52 % (1272179)Time elapsed: 0.188 s
% 6.86/5.52 % (1272179)Peak memory usage: 28 MB
% 6.86/5.52 % (1272179)Instructions burned: 638 (million)
% 6.86/5.52 % (1272210)Instruction limit reached!
% 6.86/5.52 % (1272210)------------------------------
% 6.86/5.52 % (1272210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.86/5.52 % (1272210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/5.52 % (1272210)CaDiCaL version: 2.1.3
% 6.86/5.52 % (1272210)Termination reason: Instruction limit
% 6.86/5.52 % (1272210)Termination phase: shuffling
% 6.86/5.52 % (1272210)Time elapsed: 0.034 s
% 6.86/5.52 % (1272210)Peak memory usage: 25 MB
% 6.86/5.52 % (1272210)Instructions burned: 16 (million)
% 6.86/5.52 % (1272217)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3211716820:i=26:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/26Mi)
% 6.86/5.52 % (1272216)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2597757918:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2991 on theBenchmark for (2991ds/2Mi)
% 6.86/5.52 % (1272216)Instruction limit reached!
% 6.86/5.52 % (1272216)------------------------------
% 6.86/5.52 % (1272216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.86/5.52 % (1272216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/5.52 % (1272216)CaDiCaL version: 2.1.3
% 6.86/5.52 % (1272216)Termination reason: Instruction limit
% 6.86/5.52 % (1272216)Termination phase: shuffling
% 6.86/5.52 % (1272216)Time elapsed: 0.005 s
% 6.86/5.52 % (1272216)Peak memory usage: 24 MB
% 6.86/5.52 % (1272216)Instructions burned: 2 (million)
% 6.86/5.52 % (1272220)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3820664980:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2991 on theBenchmark for (2991ds/23Mi)
% 6.86/5.52 % (1272214)Instruction limit reached!
% 6.86/5.52 % (1272214)------------------------------
% 6.86/5.52 % (1272214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.86/5.52 % (1272214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/5.52 % (1272214)CaDiCaL version: 2.1.3
% 6.86/5.52 % (1272214)Termination reason: Instruction limit
% 6.86/5.52 % (1272214)Termination phase: shuffling
% 6.86/5.52 % (1272214)Time elapsed: 0.026 s
% 6.86/5.52 % (1272214)Peak memory usage: 25 MB
% 6.86/5.52 % (1272214)Instructions burned: 14 (million)
% 6.86/5.52 % (1272220)Instruction limit reached!
% 6.86/5.52 % (1272220)------------------------------
% 6.86/5.52 % (1272220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.86/5.52 % (1272220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/5.52 % (1272220)CaDiCaL version: 2.1.3
% 6.86/5.52 % (1272220)Termination reason: Instruction limit
% 6.86/5.52 % (1272220)Termination phase: shuffling
% 6.86/5.52 % (1272220)Time elapsed: 0.013 s
% 6.86/5.52 % (1272220)Peak memory usage: 25 MB
% 6.86/5.52 % (1272220)Instructions burned: 24 (million)
% 6.86/5.52 % (1272217)Instruction limit reached!
% 7.21/5.61 % (1272217)------------------------------
% 7.21/5.61 % (1272217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/5.61 % (1272217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/5.61 % (1272217)CaDiCaL version: 2.1.3
% 7.21/5.61 % (1272217)Termination reason: Instruction limit
% 7.21/5.61 % (1272217)Termination phase: shuffling
% 7.21/5.61 % (1272217)Time elapsed: 0.027 s
% 7.21/5.61 % (1272217)Peak memory usage: 25 MB
% 7.21/5.61 % (1272217)Instructions burned: 27 (million)
% 7.21/5.61 % (1272227)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=4017125741:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/31Mi)
% 7.21/5.61 % (1272226)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 7.21/5.61 % (1272225)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
% 7.21/5.61 % (1272225)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 7.21/5.61 % (1272226)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=1802353394:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2991 on theBenchmark for (2991ds/8Mi)
% 7.21/5.61 % (1272225)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=1598628142:i=14:add=off:nm=40:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/14Mi)
% 7.21/5.61 % (1272223)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=377301926:cond=on:i=60:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/60Mi)
% 7.21/5.61 % (1272227)Instruction limit reached!
% 7.21/5.61 % (1272227)------------------------------
% 7.21/5.61 % (1272227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/5.61 % (1272227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/5.61 % (1272227)CaDiCaL version: 2.1.3
% 7.21/5.61 % (1272227)Termination reason: Instruction limit
% 7.21/5.61 % (1272227)Termination phase: shuffling
% 7.21/5.61 % (1272227)Time elapsed: 0.015 s
% 7.21/5.61 % (1272227)Peak memory usage: 25 MB
% 7.21/5.61 % (1272227)Instructions burned: 32 (million)
% 7.21/5.61 % (1272228)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1143751846:i=7:hud=5:bd=preordered:rtra=on:bet=on_2991 on theBenchmark for (2991ds/7Mi)
% 7.21/5.61 % (1272226)Instruction limit reached!
% 7.21/5.61 % (1272226)------------------------------
% 7.21/5.61 % (1272226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/5.61 % (1272226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/5.61 % (1272226)CaDiCaL version: 2.1.3
% 7.21/5.61 % (1272226)Termination reason: Instruction limit
% 7.21/5.61 % (1272226)Termination phase: shuffling
% 7.21/5.61 % (1272226)Time elapsed: 0.018 s
% 7.21/5.61 % (1272226)Peak memory usage: 24 MB
% 7.21/5.61 % (1272226)Instructions burned: 8 (million)
% 7.21/5.61 % (1272234)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=38596757:i=23:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/23Mi)
% 7.21/5.61 % (1272228)Instruction limit reached!
% 7.21/5.61 % (1272228)------------------------------
% 7.21/5.61 % (1272228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/5.61 % (1272228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/5.61 % (1272228)CaDiCaL version: 2.1.3
% 7.21/5.61 % (1272228)Termination reason: Instruction limit
% 7.21/5.61 % (1272228)Termination phase: shuffling
% 7.21/5.61 % (1272228)Time elapsed: 0.011 s
% 7.21/5.61 % (1272228)Peak memory usage: 24 MB
% 7.21/5.61 % (1272228)Instructions burned: 7 (million)
% 7.21/5.61 % (1272207)Instruction limit reached!
% 7.21/5.61 % (1272207)------------------------------
% 7.21/5.61 % (1272207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/5.61 % (1272207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/5.61 % (1272207)CaDiCaL version: 2.1.3
% 7.21/5.61 % (1272207)Termination reason: Instruction limit
% 7.77/5.72 % (1272207)Termination phase: shuffling
% 7.77/5.72 % (1272207)Time elapsed: 0.123 s
% 7.77/5.72 % (1272207)Peak memory usage: 29 MB
% 7.77/5.72 % (1272207)Instructions burned: 250 (million)
% 7.77/5.72 % (1272225)Instruction limit reached!
% 7.77/5.72 % (1272225)------------------------------
% 7.77/5.72 % (1272225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/5.72 % (1272225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/5.72 % (1272225)CaDiCaL version: 2.1.3
% 7.77/5.72 % (1272225)Termination reason: Instruction limit
% 7.77/5.72 % (1272225)Termination phase: shuffling
% 7.77/5.72 % (1272225)Time elapsed: 0.025 s
% 7.77/5.72 % (1272225)Peak memory usage: 25 MB
% 7.77/5.72 % (1272225)Instructions burned: 14 (million)
% 7.77/5.72 % (1272234)Instruction limit reached!
% 7.77/5.72 % (1272234)------------------------------
% 7.77/5.72 % (1272234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/5.72 % (1272234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/5.72 % (1272234)CaDiCaL version: 2.1.3
% 7.77/5.72 % (1272234)Termination reason: Instruction limit
% 7.77/5.72 % (1272234)Termination phase: shuffling
% 7.77/5.72 % (1272234)Time elapsed: 0.014 s
% 7.77/5.72 % (1272234)Peak memory usage: 25 MB
% 7.77/5.72 % (1272234)Instructions burned: 26 (million)
% 7.77/5.72 % (1272236)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=845840581:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2990 on theBenchmark for (2990ds/20Mi)
% 7.77/5.72 % (1272240)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3783274877:i=42:hud=10:rtra=on_2990 on theBenchmark for (2990ds/42Mi)
% 7.77/5.72 % (1272237)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1208410953:i=1240:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/1240Mi)
% 7.77/5.72 % (1272239)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1676837529:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/193Mi)
% 7.77/5.72 % (1272238)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2253487690:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/143Mi)
% 7.77/5.72 % (1272236)Instruction limit reached!
% 7.77/5.72 % (1272236)------------------------------
% 7.77/5.72 % (1272236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/5.72 % (1272236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/5.72 % (1272236)CaDiCaL version: 2.1.3
% 7.77/5.72 % (1272236)Termination reason: Instruction limit
% 7.77/5.72 % (1272236)Termination phase: shuffling
% 7.77/5.72 % (1272236)Time elapsed: 0.021 s
% 7.77/5.72 % (1272236)Peak memory usage: 25 MB
% 7.77/5.72 % (1272236)Instructions burned: 22 (million)
% 7.77/5.72 % (1272240)Instruction limit reached!
% 7.77/5.72 % (1272240)------------------------------
% 7.77/5.72 % (1272240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/5.72 % (1272240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/5.72 % (1272240)CaDiCaL version: 2.1.3
% 7.77/5.72 % (1272240)Termination reason: Instruction limit
% 7.77/5.72 % (1272240)Termination phase: shuffling
% 7.77/5.72 % (1272240)Time elapsed: 0.018 s
% 7.77/5.72 % (1272240)Peak memory usage: 26 MB
% 7.77/5.72 % (1272240)Instructions burned: 46 (million)
% 7.77/5.72 % (1272246)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 7.77/5.72 % (1272223)Instruction limit reached!
% 7.77/5.72 % (1272223)------------------------------
% 7.77/5.72 % (1272223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/5.72 % (1272223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/5.72 % (1272223)CaDiCaL version: 2.1.3
% 7.77/5.72 % (1272223)Termination reason: Instruction limit
% 7.77/5.72 % (1272223)Termination phase: shuffling
% 7.77/5.72 % (1272223)Time elapsed: 0.076 s
% 7.77/5.72 % (1272223)Peak memory usage: 26 MB
% 7.77/5.72 % (1272223)Instructions burned: 61 (million)
% 7.77/5.72 % (1272246)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4267904097:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2990 on theBenchmark for (2990ds/7Mi)
% 7.77/5.72 % (1272246)Instruction limit reached!
% 7.77/5.72 % (1272246)------------------------------
% 7.77/5.72 % (1272246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/5.81 % (1272246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/5.81 % (1272246)CaDiCaL version: 2.1.3
% 8.42/5.81 % (1272246)Termination reason: Instruction limit
% 8.42/5.81 % (1272246)Termination phase: shuffling
% 8.42/5.81 % (1272246)Time elapsed: 0.007 s
% 8.42/5.81 % (1272246)Peak memory usage: 24 MB
% 8.42/5.81 % (1272246)Instructions burned: 7 (million)
% 8.42/5.81 % (1272247)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1649527077:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/181Mi)
% 8.42/5.81 % (1272251)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 8.42/5.81 % (1272251)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1674119762:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2990 on theBenchmark for (2990ds/6Mi)
% 8.42/5.81 % (1272251)Instruction limit reached!
% 8.42/5.81 % (1272251)------------------------------
% 8.42/5.81 % (1272251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/5.81 % (1272251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/5.81 % (1272251)CaDiCaL version: 2.1.3
% 8.42/5.81 % (1272251)Termination reason: Instruction limit
% 8.42/5.81 % (1272251)Termination phase: shuffling
% 8.42/5.81 % (1272251)Time elapsed: 0.006 s
% 8.42/5.81 % (1272251)Peak memory usage: 24 MB
% 8.42/5.81 % (1272251)Instructions burned: 6 (million)
% 8.42/5.81 % (1272253)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=11083537:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2990 on theBenchmark for (2990ds/22Mi)
% 8.42/5.81 % (1272249)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=192007075:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/169Mi)
% 8.42/5.81 % (1272253)Instruction limit reached!
% 8.42/5.81 % (1272253)------------------------------
% 8.42/5.81 % (1272253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/5.81 % (1272253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/5.81 % (1272253)CaDiCaL version: 2.1.3
% 8.42/5.81 % (1272253)Termination reason: Instruction limit
% 8.42/5.81 % (1272253)Termination phase: shuffling
% 8.42/5.81 % (1272253)Time elapsed: 0.014 s
% 8.42/5.81 % (1272253)Peak memory usage: 25 MB
% 8.42/5.81 % (1272253)Instructions burned: 26 (million)
% 8.42/5.81 % (1272256)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1765803088:i=19:add=on:rtra=on_2989 on theBenchmark for (2989ds/19Mi)
% 8.42/5.81 % (1272239)Instruction limit reached!
% 8.42/5.81 % (1272239)------------------------------
% 8.42/5.81 % (1272239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/5.81 % (1272239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/5.81 % (1272239)CaDiCaL version: 2.1.3
% 8.42/5.81 % (1272239)Termination reason: Instruction limit
% 8.42/5.81 % (1272239)Termination phase: shuffling
% 8.42/5.81 % (1272239)Time elapsed: 0.095 s
% 8.42/5.81 % (1272239)Peak memory usage: 28 MB
% 8.42/5.81 % (1272239)Instructions burned: 193 (million)
% 8.42/5.81 % (1272256)Instruction limit reached!
% 8.42/5.81 % (1272256)------------------------------
% 8.42/5.81 % (1272256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/5.81 % (1272256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/5.81 % (1272256)CaDiCaL version: 2.1.3
% 8.42/5.81 % (1272256)Termination reason: Instruction limit
% 8.42/5.81 % (1272256)Termination phase: shuffling
% 8.42/5.81 % (1272256)Time elapsed: 0.013 s
% 8.42/5.81 % (1272256)Peak memory usage: 25 MB
% 8.42/5.81 % (1272256)Instructions burned: 23 (million)
% 8.42/5.81 % (1272259)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=1786239621:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2989 on theBenchmark for (2989ds/853Mi)
% 8.42/5.81 % (1272258)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=24056549:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/316Mi)
% 8.98/5.93 % (1272247)Instruction limit reached!
% 8.98/5.93 % (1272247)------------------------------
% 8.98/5.93 % (1272247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/5.93 % (1272247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/5.93 % (1272247)CaDiCaL version: 2.1.3
% 8.98/5.93 % (1272247)Termination reason: Instruction limit
% 8.98/5.93 % (1272247)Termination phase: shuffling
% 8.98/5.93 % (1272247)Time elapsed: 0.091 s
% 8.98/5.93 % (1272247)Peak memory usage: 28 MB
% 8.98/5.93 % (1272247)Instructions burned: 183 (million)
% 8.98/5.93 % (1272238)Instruction limit reached!
% 8.98/5.93 % (1272238)------------------------------
% 8.98/5.93 % (1272238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/5.93 % (1272238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/5.93 % (1272238)CaDiCaL version: 2.1.3
% 8.98/5.93 % (1272238)Termination reason: Instruction limit
% 8.98/5.93 % (1272238)Termination phase: shuffling
% 8.98/5.93 % (1272238)Time elapsed: 0.131 s
% 8.98/5.93 % (1272238)Peak memory usage: 27 MB
% 8.98/5.93 % (1272238)Instructions burned: 144 (million)
% 8.98/5.93 % (1272262)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=3513345010:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2989 on theBenchmark for (2989ds/45Mi)
% 8.98/5.93 % (1272212)Instruction limit reached!
% 8.98/5.93 % (1272212)------------------------------
% 8.98/5.93 % (1272212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/5.93 % (1272212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/5.93 % (1272212)CaDiCaL version: 2.1.3
% 8.98/5.93 % (1272212)Termination reason: Instruction limit
% 8.98/5.93 % (1272212)Termination phase: shuffling
% 8.98/5.93 % (1272212)Time elapsed: 0.273 s
% 8.98/5.93 % (1272212)Peak memory usage: 31 MB
% 8.98/5.93 % (1272212)Instructions burned: 329 (million)
% 8.98/5.93 % (1272263)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=399375785:i=480:rtra=on_2989 on theBenchmark for (2989ds/480Mi)
% 8.98/5.93 % (1272262)Instruction limit reached!
% 8.98/5.93 % (1272262)------------------------------
% 8.98/5.93 % (1272262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/5.93 % (1272262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/5.93 % (1272262)CaDiCaL version: 2.1.3
% 8.98/5.93 % (1272262)Termination reason: Instruction limit
% 8.98/5.93 % (1272262)Termination phase: Property scanning
% 8.98/5.93 % (1272262)Time elapsed: 0.029 s
% 8.98/5.93 % (1272262)Peak memory usage: 25 MB
% 8.98/5.93 % (1272262)Instructions burned: 46 (million)
% 8.98/5.93 % (1272265)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2369285179:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2989 on theBenchmark for (2989ds/21Mi)
% 8.98/5.93 % (1272268)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 8.98/5.93 % (1272268)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2023728646:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/200Mi)
% 8.98/5.93 % (1272265)Instruction limit reached!
% 8.98/5.93 % (1272265)------------------------------
% 8.98/5.93 % (1272265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/5.93 % (1272265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/5.93 % (1272265)CaDiCaL version: 2.1.3
% 8.98/5.93 % (1272265)Termination reason: Instruction limit
% 8.98/5.93 % (1272265)Termination phase: shuffling
% 8.98/5.93 % (1272265)Time elapsed: 0.020 s
% 8.98/5.93 % (1272265)Peak memory usage: 25 MB
% 8.98/5.93 % (1272265)Instructions burned: 21 (million)
% 8.98/5.93 % (1272270)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1923151220:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2988 on theBenchmark for (2988ds/13Mi)
% 8.98/5.93 % (1272249)Instruction limit reached!
% 8.98/5.93 % (1272249)------------------------------
% 8.98/5.93 % (1272249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/5.93 % (1272249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/5.93 % (1272249)CaDiCaL version: 2.1.3
% 8.98/5.93 % (1272249)Termination reason: Instruction limit
% 11.23/6.18 % (1272249)Termination phase: shuffling
% 11.23/6.18 % (1272249)Time elapsed: 0.158 s
% 11.23/6.18 % (1272249)Peak memory usage: 28 MB
% 11.23/6.18 % (1272249)Instructions burned: 170 (million)
% 11.23/6.18 % (1272270)Instruction limit reached!
% 11.23/6.18 % (1272270)------------------------------
% 11.23/6.18 % (1272270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.18 % (1272270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.18 % (1272270)CaDiCaL version: 2.1.3
% 11.23/6.18 % (1272270)Termination reason: Instruction limit
% 11.23/6.18 % (1272270)Termination phase: shuffling
% 11.23/6.18 % (1272270)Time elapsed: 0.017 s
% 11.23/6.18 % (1272270)Peak memory usage: 25 MB
% 11.23/6.18 % (1272270)Instructions burned: 14 (million)
% 11.23/6.18 % (1272272)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=1165156365:i=66:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/66Mi)
% 11.23/6.18 % (1272273)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4078501752:i=51:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/51Mi)
% 11.23/6.18 % (1272258)Instruction limit reached!
% 11.23/6.18 % (1272258)------------------------------
% 11.23/6.18 % (1272258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.18 % (1272258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.18 % (1272258)CaDiCaL version: 2.1.3
% 11.23/6.18 % (1272258)Termination reason: Instruction limit
% 11.23/6.18 % (1272258)Termination phase: shuffling
% 11.23/6.18 % (1272258)Time elapsed: 0.156 s
% 11.23/6.18 % (1272258)Peak memory usage: 32 MB
% 11.23/6.18 % (1272258)Instructions burned: 317 (million)
% 11.23/6.18 % (1272273)Instruction limit reached!
% 11.23/6.18 % (1272273)------------------------------
% 11.23/6.18 % (1272273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.18 % (1272273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.18 % (1272273)CaDiCaL version: 2.1.3
% 11.23/6.18 % (1272273)Termination reason: Instruction limit
% 11.23/6.18 % (1272273)Termination phase: shuffling
% 11.23/6.18 % (1272273)Time elapsed: 0.032 s
% 11.23/6.18 % (1272273)Peak memory usage: 25 MB
% 11.23/6.18 % (1272273)Instructions burned: 52 (million)
% 11.23/6.18 % (1272276)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1710758042:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/31Mi)
% 11.23/6.18 % (1272272)Instruction limit reached!
% 11.23/6.18 % (1272272)------------------------------
% 11.23/6.18 % (1272272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.18 % (1272272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.18 % (1272272)CaDiCaL version: 2.1.3
% 11.23/6.18 % (1272272)Termination reason: Instruction limit
% 11.23/6.18 % (1272272)Termination phase: shuffling
% 11.23/6.18 % (1272272)Time elapsed: 0.042 s
% 11.23/6.18 % (1272272)Peak memory usage: 27 MB
% 11.23/6.18 % (1272272)Instructions burned: 68 (million)
% 11.23/6.18 % (1272268)Instruction limit reached!
% 11.23/6.18 % (1272268)------------------------------
% 11.23/6.18 % (1272268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.18 % (1272268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.18 % (1272268)CaDiCaL version: 2.1.3
% 11.23/6.18 % (1272268)Termination reason: Instruction limit
% 11.23/6.18 % (1272268)Termination phase: shuffling
% 11.23/6.18 % (1272268)Time elapsed: 0.103 s
% 11.23/6.18 % (1272268)Peak memory usage: 29 MB
% 11.23/6.18 % (1272268)Instructions burned: 204 (million)
% 11.23/6.18 % (1272277)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1771874915:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2987 on theBenchmark for (2987ds/137Mi)
% 11.23/6.18 % (1272279)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=1234849912:cond=on:i=34:hud=10:nm=10:rtra=on_2987 on theBenchmark for (2987ds/34Mi)
% 11.23/6.18 % (1272276)Instruction limit reached!
% 11.23/6.18 % (1272276)------------------------------
% 11.23/6.18 % (1272276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.18 % (1272276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.18 % (1272276)CaDiCaL version: 2.1.3
% 11.97/6.31 % (1272276)Termination reason: Instruction limit
% 11.97/6.31 % (1272276)Termination phase: shuffling
% 11.97/6.31 % (1272276)Time elapsed: 0.025 s
% 11.97/6.31 % (1272276)Peak memory usage: 25 MB
% 11.97/6.31 % (1272276)Instructions burned: 32 (million)
% 11.97/6.31 % (1272280)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=519990366:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2987 on theBenchmark for (2987ds/67Mi)
% 11.97/6.31 % (1272284)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 11.97/6.31 % (1272284)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3634116544:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2987 on theBenchmark for (2987ds/180Mi)
% 11.97/6.31 % (1272279)Instruction limit reached!
% 11.97/6.31 % (1272279)------------------------------
% 11.97/6.31 % (1272279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.97/6.31 % (1272279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/6.31 % (1272279)CaDiCaL version: 2.1.3
% 11.97/6.31 % (1272279)Termination reason: Instruction limit
% 11.97/6.31 % (1272279)Termination phase: shuffling
% 11.97/6.31 % (1272279)Time elapsed: 0.028 s
% 11.97/6.31 % (1272279)Peak memory usage: 26 MB
% 11.97/6.31 % (1272279)Instructions burned: 34 (million)
% 11.97/6.31 % (1272280)Instruction limit reached!
% 11.97/6.31 % (1272280)------------------------------
% 11.97/6.31 % (1272280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.97/6.31 % (1272280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/6.31 % (1272280)CaDiCaL version: 2.1.3
% 11.97/6.31 % (1272280)Termination reason: Instruction limit
% 11.97/6.31 % (1272280)Termination phase: shuffling
% 11.97/6.31 % (1272280)Time elapsed: 0.041 s
% 11.97/6.31 % (1272280)Peak memory usage: 26 MB
% 11.97/6.31 % (1272280)Instructions burned: 68 (million)
% 11.97/6.31 % (1272286)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1345573808:st=2:i=246:sd=3:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/246Mi)
% 11.97/6.31 % (1272287)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=360504644:cond=on:i=96:bd=all:rtra=on_2986 on theBenchmark for (2986ds/96Mi)
% 11.97/6.31 % (1272277)Instruction limit reached!
% 11.97/6.31 % (1272277)------------------------------
% 11.97/6.31 % (1272277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.97/6.31 % (1272277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/6.31 % (1272277)CaDiCaL version: 2.1.3
% 11.97/6.31 % (1272277)Termination reason: Instruction limit
% 11.97/6.31 % (1272277)Termination phase: shuffling
% 11.97/6.31 % (1272277)Time elapsed: 0.074 s
% 11.97/6.31 % (1272277)Peak memory usage: 28 MB
% 11.97/6.31 % (1272277)Instructions burned: 139 (million)
% 11.97/6.31 % (1272259)Instruction limit reached!
% 11.97/6.31 % (1272259)------------------------------
% 11.97/6.31 % (1272259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.97/6.31 % (1272259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/6.31 % (1272259)CaDiCaL version: 2.1.3
% 11.97/6.31 % (1272259)Termination reason: Instruction limit
% 11.97/6.31 % (1272259)Termination phase: shuffling
% 11.97/6.31 % (1272259)Time elapsed: 0.283 s
% 11.97/6.31 % (1272259)Peak memory usage: 31 MB
% 11.97/6.31 % (1272259)Instructions burned: 853 (million)
% 11.97/6.31 % (1272290)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3046615479:i=427:sd=1:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/427Mi)
% 11.97/6.31 % (1272284)Instruction limit reached!
% 11.97/6.31 % (1272284)------------------------------
% 11.97/6.31 % (1272284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.97/6.31 % (1272284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/6.31 % (1272284)CaDiCaL version: 2.1.3
% 11.97/6.31 % (1272284)Termination reason: Instruction limit
% 11.97/6.31 % (1272284)Termination phase: shuffling
% 11.97/6.31 % (1272284)Time elapsed: 0.093 s
% 11.97/6.31 % (1272284)Peak memory usage: 29 MB
% 11.97/6.31 % (1272284)Instructions burned: 182 (million)
% 11.97/6.31 % (1272287)Instruction limit reached!
% 11.97/6.31 % (1272287)------------------------------
% 11.97/6.31 % (1272287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.97/6.31 % (1272287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/6.31 % (1272287)CaDiCaL version: 2.1.3
% 11.97/6.31 % (1272287)Termination reason: Instruction limit
% 12.60/6.46 % (1272287)Termination phase: shuffling
% 12.60/6.46 % (1272287)Time elapsed: 0.052 s
% 12.60/6.46 % (1272287)Peak memory usage: 26 MB
% 12.60/6.46 % (1272287)Instructions burned: 97 (million)
% 12.60/6.46 % (1272291)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=204013358:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/874Mi)
% 12.60/6.46 % (1272293)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=4893800:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/515Mi)
% 12.60/6.46 % (1272295)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1758853639:st=1.5:i=130:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/130Mi)
% 12.60/6.46 % (1272286)Instruction limit reached!
% 12.60/6.46 % (1272286)------------------------------
% 12.60/6.46 % (1272286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.60/6.46 % (1272286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/6.46 % (1272286)CaDiCaL version: 2.1.3
% 12.60/6.46 % (1272286)Termination reason: Instruction limit
% 12.60/6.46 % (1272286)Termination phase: shuffling
% 12.60/6.46 % (1272286)Time elapsed: 0.119 s
% 12.60/6.46 % (1272286)Peak memory usage: 29 MB
% 12.60/6.46 % (1272286)Instructions burned: 247 (million)
% 12.60/6.46 % (1272298)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3780521115:i=44:ep=R:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/44Mi)
% 12.60/6.46 % (1272295)Instruction limit reached!
% 12.60/6.46 % (1272295)------------------------------
% 12.60/6.46 % (1272295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.60/6.46 % (1272295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/6.46 % (1272295)CaDiCaL version: 2.1.3
% 12.60/6.46 % (1272295)Termination reason: Instruction limit
% 12.60/6.46 % (1272295)Termination phase: shuffling
% 12.60/6.46 % (1272295)Time elapsed: 0.070 s
% 12.60/6.46 % (1272295)Peak memory usage: 28 MB
% 12.60/6.46 % (1272295)Instructions burned: 131 (million)
% 12.60/6.46 % (1272300)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3308995810:s2a=on:i=571:nm=16:rtra=on_2985 on theBenchmark for (2985ds/571Mi)
% 12.60/6.46 % (1272263)Instruction limit reached!
% 12.60/6.46 % (1272263)------------------------------
% 12.60/6.46 % (1272263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.60/6.46 % (1272263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/6.46 % (1272263)CaDiCaL version: 2.1.3
% 12.60/6.46 % (1272263)Termination reason: Instruction limit
% 12.60/6.46 % (1272263)Termination phase: shuffling
% 12.60/6.46 % (1272263)Time elapsed: 0.391 s
% 12.60/6.46 % (1272263)Peak memory usage: 33 MB
% 12.60/6.46 % (1272263)Instructions burned: 481 (million)
% 12.60/6.46 % (1272298)Instruction limit reached!
% 12.60/6.46 % (1272298)------------------------------
% 12.60/6.46 % (1272298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.60/6.46 % (1272298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/6.46 % (1272298)CaDiCaL version: 2.1.3
% 12.60/6.46 % (1272298)Termination reason: Instruction limit
% 12.60/6.46 % (1272298)Termination phase: shuffling
% 12.60/6.46 % (1272298)Time elapsed: 0.058 s
% 12.60/6.46 % (1272298)Peak memory usage: 26 MB
% 12.60/6.46 % (1272298)Instructions burned: 45 (million)
% 12.60/6.46 % (1272302)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=936786463:i=450:rtra=on:ixr=off:ntd=on_2984 on theBenchmark for (2984ds/450Mi)
% 12.60/6.46 % (1272304)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3485245790:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/95Mi)
% 12.60/6.46 % (1272304)Instruction limit reached!
% 12.60/6.46 % (1272304)------------------------------
% 12.60/6.46 % (1272304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.60/6.46 % (1272304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/6.46 % (1272304)CaDiCaL version: 2.1.3
% 12.60/6.46 % (1272304)Termination reason: Instruction limit
% 12.60/6.46 % (1272304)Termination phase: shuffling
% 12.60/6.46 % (1272304)Time elapsed: 0.054 s
% 12.60/6.46 % (1272304)Peak memory usage: 27 MB
% 12.60/6.46 % (1272304)Instructions burned: 95 (million)
% 12.60/6.46 % (1272306)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=3924207350:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2984 on theBenchmark for (2984ds/65Mi)
% 13.59/6.67 % (1272293)Instruction limit reached!
% 13.59/6.67 % (1272293)------------------------------
% 13.59/6.67 % (1272293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.59/6.67 % (1272293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/6.67 % (1272293)CaDiCaL version: 2.1.3
% 13.59/6.67 % (1272293)Termination reason: Instruction limit
% 13.59/6.67 % (1272293)Termination phase: shuffling
% 13.59/6.67 % (1272293)Time elapsed: 0.235 s
% 13.59/6.67 % (1272293)Peak memory usage: 33 MB
% 13.59/6.67 % (1272293)Instructions burned: 515 (million)
% 13.59/6.67 % (1272290)Instruction limit reached!
% 13.59/6.67 % (1272290)------------------------------
% 13.59/6.67 % (1272290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.59/6.67 % (1272290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/6.67 % (1272290)CaDiCaL version: 2.1.3
% 13.59/6.67 % (1272290)Termination reason: Instruction limit
% 13.59/6.67 % (1272290)Termination phase: shuffling
% 13.59/6.67 % (1272290)Time elapsed: 0.296 s
% 13.59/6.67 % (1272290)Peak memory usage: 32 MB
% 13.59/6.67 % (1272290)Instructions burned: 429 (million)
% 13.59/6.67 % (1272308)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=978419249: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_2983 on theBenchmark for (2983ds/105Mi)
% 13.59/6.67 % (1272306)Instruction limit reached!
% 13.59/6.67 % (1272306)------------------------------
% 13.59/6.67 % (1272306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.59/6.67 % (1272306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/6.67 % (1272306)CaDiCaL version: 2.1.3
% 13.59/6.67 % (1272306)Termination reason: Instruction limit
% 13.59/6.67 % (1272306)Termination phase: shuffling
% 13.59/6.67 % (1272306)Time elapsed: 0.043 s
% 13.59/6.67 % (1272306)Peak memory usage: 27 MB
% 13.59/6.67 % (1272306)Instructions burned: 67 (million)
% 13.59/6.67 % (1272309)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=132077757:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2983 on theBenchmark for (2983ds/5755Mi)
% 13.59/6.67 % (1272311)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2115134232:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/375Mi)
% 13.59/6.67 % (1272308)Instruction limit reached!
% 13.59/6.67 % (1272308)------------------------------
% 13.59/6.67 % (1272308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.59/6.67 % (1272308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/6.67 % (1272308)CaDiCaL version: 2.1.3
% 13.59/6.67 % (1272308)Termination reason: Instruction limit
% 13.59/6.67 % (1272308)Termination phase: shuffling
% 13.59/6.67 % (1272308)Time elapsed: 0.058 s
% 13.59/6.67 % (1272308)Peak memory usage: 27 MB
% 13.59/6.67 % (1272308)Instructions burned: 105 (million)
% 13.59/6.67 % (1272302)Instruction limit reached!
% 13.59/6.67 % (1272302)------------------------------
% 13.59/6.67 % (1272302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.59/6.67 % (1272302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/6.67 % (1272302)CaDiCaL version: 2.1.3
% 13.59/6.67 % (1272302)Termination reason: Instruction limit
% 13.59/6.67 % (1272302)Termination phase: shuffling
% 13.59/6.67 % (1272302)Time elapsed: 0.203 s
% 13.59/6.67 % (1272302)Peak memory usage: 32 MB
% 13.59/6.67 % (1272302)Instructions burned: 450 (million)
% 13.59/6.67 % (1272314)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2381092631:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2982 on theBenchmark for (2982ds/495Mi)
% 13.59/6.67 % (1272300)Instruction limit reached!
% 13.59/6.67 % (1272300)------------------------------
% 13.59/6.67 % (1272300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.59/6.67 % (1272300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/6.67 % (1272300)CaDiCaL version: 2.1.3
% 13.59/6.67 % (1272300)Termination reason: Instruction limit
% 13.59/6.67 % (1272300)Termination phase: shuffling
% 13.59/6.67 % (1272300)Time elapsed: 0.262 s
% 14.86/6.84 % (1272300)Peak memory usage: 34 MB
% 14.86/6.84 % (1272300)Instructions burned: 573 (million)
% 14.86/6.84 % (1272315)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=2601372750:cond=on:i=34:hud=10:nm=10:rtra=on_2982 on theBenchmark for (2982ds/34Mi)
% 14.86/6.84 % (1272317)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1924054761:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2982 on theBenchmark for (2982ds/91Mi)
% 14.86/6.84 % (1272315)Instruction limit reached!
% 14.86/6.84 % (1272315)------------------------------
% 14.86/6.84 % (1272315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.86/6.84 % (1272315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/6.84 % (1272315)CaDiCaL version: 2.1.3
% 14.86/6.84 % (1272315)Termination reason: Instruction limit
% 14.86/6.84 % (1272315)Termination phase: shuffling
% 14.86/6.84 % (1272315)Time elapsed: 0.026 s
% 14.86/6.84 % (1272315)Peak memory usage: 25 MB
% 14.86/6.84 % (1272315)Instructions burned: 36 (million)
% 14.86/6.84 % (1272320)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1841207918:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2982 on theBenchmark for (2982ds/66Mi)
% 14.86/6.85 % (1272317)Instruction limit reached!
% 14.86/6.85 % (1272317)------------------------------
% 14.86/6.85 % (1272317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.86/6.85 % (1272317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/6.85 % (1272317)CaDiCaL version: 2.1.3
% 14.86/6.85 % (1272317)Termination reason: Instruction limit
% 14.86/6.85 % (1272317)Termination phase: shuffling
% 14.86/6.85 % (1272317)Time elapsed: 0.053 s
% 14.86/6.85 % (1272317)Peak memory usage: 27 MB
% 14.86/6.85 % (1272317)Instructions burned: 91 (million)
% 14.86/6.85 % (1272320)Instruction limit reached!
% 14.86/6.85 % (1272320)------------------------------
% 14.86/6.85 % (1272320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.86/6.85 % (1272320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/6.85 % (1272320)CaDiCaL version: 2.1.3
% 14.86/6.85 % (1272320)Termination reason: Instruction limit
% 14.86/6.85 % (1272320)Termination phase: shuffling
% 14.86/6.85 % (1272320)Time elapsed: 0.041 s
% 14.86/6.85 % (1272320)Peak memory usage: 26 MB
% 14.86/6.85 % (1272320)Instructions burned: 68 (million)
% 14.86/6.85 % (1272322)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=789880477:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2981 on theBenchmark for (2981ds/22Mi)
% 14.86/6.85 % (1272324)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=248966643:i=338:bd=all:ins=4:rtra=on_2981 on theBenchmark for (2981ds/338Mi)
% 14.86/6.85 % (1272322)Instruction limit reached!
% 14.86/6.85 % (1272322)------------------------------
% 14.86/6.85 % (1272322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.86/6.85 % (1272322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/6.85 % (1272322)CaDiCaL version: 2.1.3
% 14.86/6.85 % (1272322)Termination reason: Instruction limit
% 14.86/6.85 % (1272322)Termination phase: shuffling
% 14.86/6.85 % (1272322)Time elapsed: 0.021 s
% 14.86/6.85 % (1272322)Peak memory usage: 25 MB
% 14.86/6.85 % (1272322)Instructions burned: 22 (million)
% 14.86/6.85 % (1272311)Instruction limit reached!
% 14.86/6.85 % (1272311)------------------------------
% 14.86/6.85 % (1272311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.86/6.85 % (1272311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/6.85 % (1272311)CaDiCaL version: 2.1.3
% 14.86/6.85 % (1272311)Termination reason: Instruction limit
% 14.86/6.85 % (1272311)Termination phase: shuffling
% 14.86/6.85 % (1272311)Time elapsed: 0.183 s
% 14.86/6.85 % (1272311)Peak memory usage: 31 MB
% 14.86/6.85 % (1272311)Instructions burned: 376 (million)
% 14.86/6.85 % (1272326)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2350041818:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/28Mi)
% 14.86/6.85 % (1272327)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 14.86/6.85 % (1272327)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3218019221:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2981 on theBenchmark for (2981ds/137Mi)
% 17.49/7.09 % (1272326)Instruction limit reached!
% 17.49/7.09 % (1272326)------------------------------
% 17.49/7.09 % (1272326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/7.09 % (1272326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/7.09 % (1272326)CaDiCaL version: 2.1.3
% 17.49/7.09 % (1272326)Termination reason: Instruction limit
% 17.49/7.09 % (1272326)Termination phase: shuffling
% 17.49/7.09 % (1272326)Time elapsed: 0.024 s
% 17.49/7.09 % (1272326)Peak memory usage: 25 MB
% 17.49/7.09 % (1272326)Instructions burned: 29 (million)
% 17.49/7.09 % (1272330)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=1288096007:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2980 on theBenchmark for (2980ds/340Mi)
% 17.49/7.09 % (1272237)Instruction limit reached!
% 17.49/7.09 % (1272237)------------------------------
% 17.49/7.09 % (1272237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/7.09 % (1272237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/7.09 % (1272237)CaDiCaL version: 2.1.3
% 17.49/7.09 % (1272237)Termination reason: Instruction limit
% 17.49/7.09 % (1272237)Termination phase: shuffling
% 17.49/7.09 % (1272237)Time elapsed: 1.030 s
% 17.49/7.09 % (1272237)Peak memory usage: 51 MB
% 17.49/7.09 % (1272237)Instructions burned: 1240 (million)
% 17.49/7.09 % (1272327)Instruction limit reached!
% 17.49/7.09 % (1272327)------------------------------
% 17.49/7.09 % (1272327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/7.09 % (1272327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/7.09 % (1272327)CaDiCaL version: 2.1.3
% 17.49/7.09 % (1272327)Termination reason: Instruction limit
% 17.49/7.09 % (1272327)Termination phase: shuffling
% 17.49/7.09 % (1272327)Time elapsed: 0.075 s
% 17.49/7.09 % (1272327)Peak memory usage: 28 MB
% 17.49/7.09 % (1272327)Instructions burned: 138 (million)
% 17.49/7.09 % (1272333)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 17.49/7.09 % (1272332)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=640954308:i=227:sd=1:bd=all:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/227Mi)
% 17.49/7.09 % (1272333)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=606359738:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/373Mi)
% 17.49/7.09 % (1272324)Instruction limit reached!
% 17.49/7.09 % (1272324)------------------------------
% 17.49/7.09 % (1272324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/7.09 % (1272324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/7.09 % (1272324)CaDiCaL version: 2.1.3
% 17.49/7.09 % (1272324)Termination reason: Instruction limit
% 17.49/7.09 % (1272324)Termination phase: shuffling
% 17.49/7.09 % (1272324)Time elapsed: 0.164 s
% 17.49/7.09 % (1272324)Peak memory usage: 32 MB
% 17.49/7.09 % (1272324)Instructions burned: 339 (million)
% 17.49/7.09 % (1272336)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3722493214:i=116:ep=RSTC:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/116Mi)
% 17.49/7.09 % (1272330)Instruction limit reached!
% 17.49/7.09 % (1272330)------------------------------
% 17.49/7.09 % (1272330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/7.09 % (1272330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/7.09 % (1272330)CaDiCaL version: 2.1.3
% 17.49/7.09 % (1272330)Termination reason: Instruction limit
% 17.49/7.09 % (1272330)Termination phase: shuffling
% 17.49/7.09 % (1272330)Time elapsed: 0.167 s
% 17.49/7.09 % (1272330)Peak memory usage: 32 MB
% 17.49/7.09 % (1272330)Instructions burned: 341 (million)
% 17.49/7.09 % (1272291)Instruction limit reached!
% 17.49/7.09 % (1272291)------------------------------
% 17.49/7.09 % (1272291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/7.09 % (1272291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/7.09 % (1272291)CaDiCaL version: 2.1.3
% 17.49/7.09 % (1272291)Termination reason: Instruction limit
% 17.49/7.09 % (1272291)Termination phase: Property scanning
% 17.49/7.09 % (1272291)Time elapsed: 0.741 s
% 17.49/7.09 % (1272291)Peak memory usage: 38 MB
% 17.49/7.09 % (1272291)Instructions burned: 874 (million)
% 18.79/7.39 % (1272336)Instruction limit reached!
% 18.79/7.39 % (1272336)------------------------------
% 18.79/7.39 % (1272336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.79/7.39 % (1272336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/7.39 % (1272336)CaDiCaL version: 2.1.3
% 18.79/7.39 % (1272336)Termination reason: Instruction limit
% 18.79/7.39 % (1272336)Termination phase: shuffling
% 18.79/7.39 % (1272336)Time elapsed: 0.063 s
% 18.79/7.39 % (1272336)Peak memory usage: 28 MB
% 18.79/7.39 % (1272336)Instructions burned: 117 (million)
% 18.79/7.39 % (1272338)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=294337834:i=575:rtra=on_2978 on theBenchmark for (2978ds/575Mi)
% 18.79/7.39 % (1272340)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=2055299810: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_2978 on theBenchmark for (2978ds/9840Mi)
% 18.79/7.39 % (1272314)Instruction limit reached!
% 18.79/7.39 % (1272314)------------------------------
% 18.79/7.39 % (1272314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.79/7.39 % (1272314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/7.39 % (1272314)CaDiCaL version: 2.1.3
% 18.79/7.39 % (1272314)Termination reason: Instruction limit
% 18.79/7.39 % (1272314)Termination phase: shuffling
% 18.79/7.39 % (1272314)Time elapsed: 0.409 s
% 18.79/7.39 % (1272314)Peak memory usage: 33 MB
% 18.79/7.39 % (1272314)Instructions burned: 496 (million)
% 18.79/7.39 % (1272339)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=168145787:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2978 on theBenchmark for (2978ds/270Mi)
% 18.79/7.39 % (1272344)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=741602135:i=421:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/421Mi)
% 18.79/7.39 % (1272332)Instruction limit reached!
% 18.79/7.39 % (1272332)------------------------------
% 18.79/7.39 % (1272332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.79/7.39 % (1272332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/7.39 % (1272332)CaDiCaL version: 2.1.3
% 18.79/7.39 % (1272332)Termination reason: Instruction limit
% 18.79/7.39 % (1272332)Termination phase: shuffling
% 18.79/7.39 % (1272332)Time elapsed: 0.188 s
% 18.79/7.39 % (1272332)Peak memory usage: 28 MB
% 18.79/7.39 % (1272332)Instructions burned: 227 (million)
% 18.79/7.39 % (1272333)Instruction limit reached!
% 18.79/7.39 % (1272333)------------------------------
% 18.79/7.39 % (1272333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.79/7.39 % (1272333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/7.39 % (1272333)CaDiCaL version: 2.1.3
% 18.79/7.39 % (1272333)Termination reason: Instruction limit
% 18.79/7.39 % (1272333)Termination phase: shuffling
% 18.79/7.39 % (1272333)Time elapsed: 0.203 s
% 18.79/7.39 % (1272333)Peak memory usage: 33 MB
% 18.79/7.39 % (1272333)Instructions burned: 374 (million)
% 18.79/7.39 % (1272346)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
% 18.79/7.39 % (1272346)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=691379837:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/270Mi)
% 18.79/7.39 % (1272348)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3609833532:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/31Mi)
% 18.79/7.39 % (1272348)Instruction limit reached!
% 18.79/7.39 % (1272348)------------------------------
% 18.79/7.39 % (1272348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.79/7.39 % (1272348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/7.39 % (1272348)CaDiCaL version: 2.1.3
% 18.79/7.39 % (1272348)Termination reason: Instruction limit
% 18.79/7.39 % (1272348)Termination phase: shuffling
% 18.79/7.39 % (1272348)Time elapsed: 0.040 s
% 18.79/7.39 % (1272348)Peak memory usage: 25 MB
% 18.79/7.39 % (1272348)Instructions burned: 31 (million)
% 20.01/7.65 % (1272350)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 20.01/7.65 % (1272350)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
% 20.01/7.65 % (1272350)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=1775155051:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2977 on theBenchmark for (2977ds/1440Mi)
% 20.01/7.65 % (1272346)Instruction limit reached!
% 20.01/7.65 % (1272346)------------------------------
% 20.01/7.65 % (1272346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/7.65 % (1272346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/7.65 % (1272346)CaDiCaL version: 2.1.3
% 20.01/7.65 % (1272346)Termination reason: Instruction limit
% 20.01/7.65 % (1272346)Termination phase: shuffling
% 20.01/7.65 % (1272346)Time elapsed: 0.125 s
% 20.01/7.65 % (1272346)Peak memory usage: 29 MB
% 20.01/7.65 % (1272346)Instructions burned: 270 (million)
% 20.01/7.65 % (1272344)Instruction limit reached!
% 20.01/7.65 % (1272344)------------------------------
% 20.01/7.65 % (1272344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/7.65 % (1272344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/7.65 % (1272344)CaDiCaL version: 2.1.3
% 20.01/7.65 % (1272344)Termination reason: Instruction limit
% 20.01/7.65 % (1272344)Termination phase: shuffling
% 20.01/7.65 % (1272344)Time elapsed: 0.197 s
% 20.01/7.65 % (1272344)Peak memory usage: 32 MB
% 20.01/7.65 % (1272344)Instructions burned: 422 (million)
% 20.01/7.65 % (1272352)dis+10_2_sil=128000:si=on:random_seed=124247906:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2976 on theBenchmark for (2976ds/339Mi)
% 20.01/7.65 % (1272339)Instruction limit reached!
% 20.01/7.65 % (1272339)------------------------------
% 20.01/7.65 % (1272339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/7.65 % (1272339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/7.65 % (1272339)CaDiCaL version: 2.1.3
% 20.01/7.65 % (1272339)Termination reason: Instruction limit
% 20.01/7.65 % (1272339)Termination phase: shuffling
% 20.01/7.65 % (1272339)Time elapsed: 0.242 s
% 20.01/7.65 % (1272339)Peak memory usage: 32 MB
% 20.01/7.65 % (1272339)Instructions burned: 271 (million)
% 20.01/7.65 % (1272354)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1005194126:i=111:add=on:fgj=on:rtra=on:fdi=1024_2976 on theBenchmark for (2976ds/111Mi)
% 20.01/7.65 % (1272338)Instruction limit reached!
% 20.01/7.65 % (1272338)------------------------------
% 20.01/7.65 % (1272338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/7.65 % (1272338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/7.65 % (1272338)CaDiCaL version: 2.1.3
% 20.01/7.65 % (1272338)Termination reason: Instruction limit
% 20.01/7.65 % (1272338)Termination phase: shuffling
% 20.01/7.65 % (1272338)Time elapsed: 0.281 s
% 20.01/7.65 % (1272338)Peak memory usage: 34 MB
% 20.01/7.65 % (1272338)Instructions burned: 576 (million)
% 20.01/7.65 % (1272357)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=3626659769:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/136Mi)
% 20.01/7.65 % (1272356)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=2805436498:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/122Mi)
% 20.01/7.65 % (1272357)Instruction limit reached!
% 20.01/7.65 % (1272357)------------------------------
% 20.01/7.65 % (1272357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/7.65 % (1272357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/7.65 % (1272357)CaDiCaL version: 2.1.3
% 20.01/7.65 % (1272357)Termination reason: Instruction limit
% 20.01/7.65 % (1272357)Termination phase: shuffling
% 20.01/7.65 % (1272357)Time elapsed: 0.073 s
% 20.01/7.65 % (1272357)Peak memory usage: 28 MB
% 20.01/7.65 % (1272357)Instructions burned: 137 (million)
% 20.01/7.65 % (1272356)Instruction limit reached!
% 20.01/7.65 % (1272356)------------------------------
% 22.58/7.81 % (1272356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.58/7.81 % (1272356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/7.81 % (1272356)CaDiCaL version: 2.1.3
% 22.58/7.81 % (1272356)Termination reason: Instruction limit
% 22.58/7.81 % (1272356)Termination phase: shuffling
% 22.58/7.81 % (1272356)Time elapsed: 0.072 s
% 22.58/7.81 % (1272356)Peak memory usage: 27 MB
% 22.58/7.81 % (1272356)Instructions burned: 123 (million)
% 22.58/7.81 % (1272360)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2483463306:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/232Mi)
% 22.58/7.81 % (1272354)Instruction limit reached!
% 22.58/7.81 % (1272354)------------------------------
% 22.58/7.81 % (1272354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.58/7.81 % (1272354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/7.81 % (1272354)CaDiCaL version: 2.1.3
% 22.58/7.81 % (1272354)Termination reason: Instruction limit
% 22.58/7.81 % (1272354)Termination phase: shuffling
% 22.58/7.81 % (1272354)Time elapsed: 0.129 s
% 22.58/7.81 % (1272354)Peak memory usage: 27 MB
% 22.58/7.81 % (1272354)Instructions burned: 112 (million)
% 22.58/7.81 % (1272352)Instruction limit reached!
% 22.58/7.81 % (1272352)------------------------------
% 22.58/7.81 % (1272352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.58/7.81 % (1272352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/7.81 % (1272352)CaDiCaL version: 2.1.3
% 22.58/7.81 % (1272352)Termination reason: Instruction limit
% 22.58/7.81 % (1272352)Termination phase: shuffling
% 22.58/7.81 % (1272352)Time elapsed: 0.165 s
% 22.58/7.81 % (1272352)Peak memory usage: 30 MB
% 22.58/7.81 % (1272352)Instructions burned: 340 (million)
% 22.58/7.81 % (1272361)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=4123490076:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2974 on theBenchmark for (2974ds/1254Mi)
% 22.58/7.81 % (1272363)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.58/7.81 % (1272363)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=2867620044:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2974 on theBenchmark for (2974ds/281Mi)
% 22.58/7.81 % (1272365)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1185428435:i=619:add=on:rtra=on_2974 on theBenchmark for (2974ds/619Mi)
% 22.58/7.81 % (1272360)Instruction limit reached!
% 22.58/7.81 % (1272360)------------------------------
% 22.58/7.81 % (1272360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.58/7.81 % (1272360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/7.81 % (1272360)CaDiCaL version: 2.1.3
% 22.58/7.81 % (1272360)Termination reason: Instruction limit
% 22.58/7.81 % (1272360)Termination phase: shuffling
% 22.58/7.81 % (1272360)Time elapsed: 0.116 s
% 22.58/7.81 % (1272360)Peak memory usage: 29 MB
% 22.58/7.81 % (1272360)Instructions burned: 234 (million)
% 22.58/7.81 % (1272368)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=1654743358:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/865Mi)
% 22.58/7.81 % (1272363)Instruction limit reached!
% 22.58/7.81 % (1272363)------------------------------
% 22.58/7.81 % (1272363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.58/7.81 % (1272363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/7.81 % (1272363)CaDiCaL version: 2.1.3
% 22.58/7.81 % (1272363)Termination reason: Instruction limit
% 22.58/7.81 % (1272363)Termination phase: shuffling
% 22.58/7.81 % (1272363)Time elapsed: 0.140 s
% 22.58/7.81 % (1272363)Peak memory usage: 32 MB
% 22.58/7.81 % (1272363)Instructions burned: 283 (million)
% 22.58/7.81 % (1272370)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1715045926:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/212Mi)
% 22.58/7.81 % (1272370)Instruction limit reached!
% 22.58/7.81 % (1272370)------------------------------
% 22.58/7.81 % (1272370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.58/7.81 % (1272370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272370)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272370)Termination reason: Instruction limit
% 22.96/7.97 % (1272370)Termination phase: shuffling
% 22.96/7.97 % (1272370)Time elapsed: 0.102 s
% 22.96/7.97 % (1272370)Peak memory usage: 29 MB
% 22.96/7.97 % (1272370)Instructions burned: 215 (million)
% 22.96/7.97 % (1272372)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=921890813:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/130Mi)
% 22.96/7.97 % (1272372)Instruction limit reached!
% 22.96/7.97 % (1272372)------------------------------
% 22.96/7.97 % (1272372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272372)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272372)Termination reason: Instruction limit
% 22.96/7.97 % (1272372)Termination phase: shuffling
% 22.96/7.97 % (1272372)Time elapsed: 0.039 s
% 22.96/7.97 % (1272372)Peak memory usage: 27 MB
% 22.96/7.97 % (1272372)Instructions burned: 135 (million)
% 22.96/7.97 % (1272374)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1606090965:st=1.5:i=346:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/346Mi)
% 22.96/7.97 % (1272374)Instruction limit reached!
% 22.96/7.97 % (1272374)------------------------------
% 22.96/7.97 % (1272374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272374)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272374)Termination reason: Instruction limit
% 22.96/7.97 % (1272374)Termination phase: shuffling
% 22.96/7.97 % (1272374)Time elapsed: 0.092 s
% 22.96/7.97 % (1272374)Peak memory usage: 33 MB
% 22.96/7.97 % (1272374)Instructions burned: 348 (million)
% 22.96/7.97 % (1272376)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3941823905:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2970 on theBenchmark for (2970ds/152Mi)
% 22.96/7.97 % (1272376)Instruction limit reached!
% 22.96/7.97 % (1272376)------------------------------
% 22.96/7.97 % (1272376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272376)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272376)Termination reason: Instruction limit
% 22.96/7.97 % (1272376)Termination phase: shuffling
% 22.96/7.97 % (1272376)Time elapsed: 0.045 s
% 22.96/7.97 % (1272376)Peak memory usage: 28 MB
% 22.96/7.97 % (1272376)Instructions burned: 158 (million)
% 22.96/7.97 % (1272378)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2444850919:i=75:ep=R:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/75Mi)
% 22.96/7.97 % (1272368)Instruction limit reached!
% 22.96/7.97 % (1272368)------------------------------
% 22.96/7.97 % (1272368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272368)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272368)Termination reason: Instruction limit
% 22.96/7.97 % (1272368)Termination phase: shuffling
% 22.96/7.97 % (1272368)Time elapsed: 0.409 s
% 22.96/7.97 % (1272368)Peak memory usage: 44 MB
% 22.96/7.97 % (1272368)Instructions burned: 866 (million)
% 22.96/7.97 % (1272378)Instruction limit reached!
% 22.96/7.97 % (1272378)------------------------------
% 22.96/7.97 % (1272378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272378)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272378)Termination reason: Instruction limit
% 22.96/7.97 % (1272378)Termination phase: shuffling
% 22.96/7.97 % (1272378)Time elapsed: 0.026 s
% 22.96/7.97 % (1272378)Peak memory usage: 27 MB
% 22.96/7.97 % (1272378)Instructions burned: 78 (million)
% 22.96/7.97 % (1272365)Instruction limit reached!
% 22.96/7.97 % (1272365)------------------------------
% 22.96/7.97 % (1272365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272365)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272365)Termination reason: Instruction limit
% 22.96/7.97 % (1272365)Termination phase: shuffling
% 22.96/7.97 % (1272365)Time elapsed: 0.509 s
% 22.96/7.97 % (1272365)Peak memory usage: 37 MB
% 22.96/7.97 % (1272365)Instructions burned: 619 (million)
% 22.96/7.97 % (1272381)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=706595430:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2969 on theBenchmark for (2969ds/148Mi)
% 22.96/7.97 % (1272380)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=568857146:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/387Mi)
% 22.96/7.97 % (1272382)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=665491159:i=161:piset=and:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/161Mi)
% 22.96/7.97 % (1272361)Instruction limit reached!
% 22.96/7.97 % (1272361)------------------------------
% 22.96/7.97 % (1272361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272361)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272361)Termination reason: Instruction limit
% 22.96/7.97 % (1272361)Termination phase: shuffling
% 22.96/7.97 % (1272361)Time elapsed: 0.581 s
% 22.96/7.97 % (1272361)Peak memory usage: 51 MB
% 22.96/7.97 % (1272361)Instructions burned: 1254 (million)
% 22.96/7.97 % (1272381)Instruction limit reached!
% 22.96/7.97 % (1272381)------------------------------
% 22.96/7.97 % (1272381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272381)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272381)Termination reason: Instruction limit
% 22.96/7.97 % (1272381)Termination phase: shuffling
% 22.96/7.97 % (1272381)Time elapsed: 0.044 s
% 22.96/7.97 % (1272381)Peak memory usage: 28 MB
% 22.96/7.97 % (1272381)Instructions burned: 149 (million)
% 22.96/7.97 % (1272387)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=1680041286:i=136:add=on:ins=4:rtra=on:sup=off_2968 on theBenchmark for (2968ds/136Mi)
% 22.96/7.97 % (1272386)lrs+10_1_sil=128000:si=on:random_seed=336933233:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/888Mi)
% 22.96/7.97 % (1272387)Instruction limit reached!
% 22.96/7.97 % (1272387)------------------------------
% 22.96/7.97 % (1272387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272387)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272387)Termination reason: Instruction limit
% 22.96/7.97 % (1272387)Termination phase: shuffling
% 22.96/7.97 % (1272387)Time elapsed: 0.040 s
% 22.96/7.97 % (1272387)Peak memory usage: 27 MB
% 22.96/7.97 % (1272387)Instructions burned: 138 (million)
% 22.96/7.97 % (1272382)Instruction limit reached!
% 22.96/7.97 % (1272382)------------------------------
% 22.96/7.97 % (1272382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272382)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272382)Termination reason: Instruction limit
% 22.96/7.97 % (1272382)Termination phase: shuffling
% 22.96/7.97 % (1272382)Time elapsed: 0.082 s
% 22.96/7.97 % (1272382)Peak memory usage: 28 MB
% 22.96/7.97 % (1272382)Instructions burned: 162 (million)
% 22.96/7.97 % (1272390)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=3524006002:i=88:s2at=3:nm=2:rtra=on:rawr=on_2968 on theBenchmark for (2968ds/88Mi)
% 22.96/7.97 % (1272391)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3231766826:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2968 on theBenchmark for (2968ds/93Mi)
% 22.96/7.97 % (1272390)Instruction limit reached!
% 22.96/7.97 % (1272390)------------------------------
% 22.96/7.97 % (1272390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272390)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272390)Termination reason: Instruction limit
% 22.96/7.97 % (1272390)Termination phase: shuffling
% 22.96/7.97 % (1272390)Time elapsed: 0.030 s
% 22.96/7.97 % (1272390)Peak memory usage: 27 MB
% 22.96/7.97 % (1272390)Instructions burned: 91 (million)
% 22.96/7.97 % (1272394)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=246233213:i=2186:rtra=on:ixr=off_2967 on theBenchmark for (2967ds/2186Mi)
% 22.96/7.97 % (1272391)Instruction limit reached!
% 22.96/7.97 % (1272391)------------------------------
% 22.96/7.97 % (1272391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272391)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272391)Termination reason: Instruction limit
% 22.96/7.97 % (1272391)Termination phase: shuffling
% 22.96/7.97 % (1272391)Time elapsed: 0.054 s
% 22.96/7.97 % (1272391)Peak memory usage: 27 MB
% 22.96/7.97 % (1272391)Instructions burned: 93 (million)
% 22.96/7.97 % (1272396)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1569824970:s2a=on:i=240:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/240Mi)
% 22.96/7.97 % (1272309) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1272171-1272309"...
% 22.96/7.97 % (1272309)...printing done.
% 22.96/7.97 % (1272350)Instruction limit reached!
% 22.96/7.97 % (1272350)------------------------------
% 22.96/7.97 % (1272350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.97 % (1272350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.97 % (1272350)CaDiCaL version: 2.1.3
% 22.96/7.97 % (1272350)Termination reason: Instruction limit
% 22.96/7.97 % (1272350)Termination phase: Property scanning
% 22.96/7.97 % (1272350)Time elapsed: 1.086 s
% 22.96/7.97 % (1272350)Peak memory usage: 38 MB
% 22.96/7.97 % (1272350)Instructions burned: 1441 (million)
% 22.96/7.97 % (1272309)Refutation found. Thanks to Tanya!
% 22.96/7.97 % SZS status Theorem for theBenchmark
% 22.96/7.97 % SZS output start Proof for theBenchmark
% See solution above
% 22.96/7.99 % (1272309)------------------------------
% 22.96/7.99 % (1272309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.96/7.99 % (1272309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.96/7.99 % (1272309)CaDiCaL version: 2.1.3
% 22.96/7.99 % (1272309)Termination reason: Refutation
% 22.96/7.99 % (1272309)Time elapsed: 1.698 s
% 22.96/7.99 % (1272309)Peak memory usage: 55 MB
% 22.96/7.99 % (1272309)Instructions burned: 3519 (million)
% 22.96/7.99 % (1272171)Success in time 3.418 s
% 22.96/7.99 % Vampire exiting
%------------------------------------------------------------------------------