Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP219^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 08:08:59 AM UTC 2026

% Result   : Theorem 9.40s 3.81s
% Output   : Refutation 9.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   37 (  20 unt;   0 typ;   2 def)
%            Number of atoms       :  101 (  25 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  122 (  22   ~;  15   |;   0   &;  80   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :  237 ( 236 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 1640 (1637 usr; 102 con; 0-6 aty)
%            Number of variables   :   24 (   0 sgn  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Pr3444600963470892981et_nat: $tType ).

thf(type_def_6,type,
    produc5657529347773406293et_nat: $tType ).

thf(type_def_7,type,
    set_Pr1722956316086891245nteger: $tType ).

thf(type_def_8,type,
    produc824974754969098637nteger: $tType ).

thf(type_def_9,type,
    set_Pr4708930517165415495nt_int: $tType ).

thf(type_def_10,type,
    produc2432570611225516007nt_int: $tType ).

thf(type_def_11,type,
    set_Pr7928877670098842301et_nat: $tType ).

thf(type_def_12,type,
    produc6830853553727218525et_nat: $tType ).

thf(type_def_13,type,
    set_Pr8634505666381077339nt_int: $tType ).

thf(type_def_14,type,
    list_P362550909693114634et_nat: $tType ).

thf(type_def_15,type,
    set_Pr8536935166611901872et_nat: $tType ).

thf(type_def_16,type,
    produc2501202720802129403nt_int: $tType ).

thf(type_def_17,type,
    produc4193628355235574503at_nat: $tType ).

thf(type_def_18,type,
    produc2732055786443039994et_nat: $tType ).

thf(type_def_19,type,
    produc1319942482725812455at_nat: $tType ).

thf(type_def_20,type,
    list_P6548900253507351021at_nat: $tType ).

thf(type_def_21,type,
    set_Pr5564308138774400199at_nat: $tType ).

thf(type_def_22,type,
    produc1906917888121415911at_nat: $tType ).

thf(type_def_23,type,
    list_P7828571989066258726nteger: $tType ).

thf(type_def_24,type,
    set_Pr1281608226676607948nteger: $tType ).

thf(type_def_25,type,
    produc989692990947075319atural: $tType ).

thf(type_def_26,type,
    produc1908205239877642774nteger: $tType ).

thf(type_def_27,type,
    list_P651320350408439699nt_int: $tType ).

thf(type_def_28,type,
    set_Pr9222295170931077689nt_int: $tType ).

thf(type_def_29,type,
    list_P6107040726529854061_nat_o: $tType ).

thf(type_def_30,type,
    set_Pr2161125870931222855_nat_o: $tType ).

thf(type_def_31,type,
    produc2285326912895808259nt_int: $tType ).

thf(type_def_32,type,
    list_P2321686559999237006et_nat: $tType ).

thf(type_def_33,type,
    set_Pr3286484037609594932et_nat: $tType ).

thf(type_def_34,type,
    produc4928098042776334183_nat_o: $tType ).

thf(type_def_35,type,
    produc4530688714081574576n_assn: $tType ).

thf(type_def_36,type,
    produc3925858234332021118et_nat: $tType ).

thf(type_def_37,type,
    produc8731074985263844745atural: $tType ).

thf(type_def_38,type,
    produc8763457246119570046nteger: $tType ).

thf(type_def_39,type,
    list_P1316552470764441098e_term: $tType ).

thf(type_def_40,type,
    set_Pr7604974323444597168e_term: $tType ).

thf(type_def_41,type,
    list_P1743416141875011707e_term: $tType ).

thf(type_def_42,type,
    set_Pr3642885161833720865e_term: $tType ).

thf(type_def_43,type,
    list_P8915022641806594461nt_int: $tType ).

thf(type_def_44,type,
    set_Pr1872883991513573699nt_int: $tType ).

thf(type_def_45,type,
    set_Pr4333006031979791559at_nat: $tType ).

thf(type_def_46,type,
    set_Pr6863447823992824007n_assn: $tType ).

thf(type_def_47,type,
    produc7773217078559923341nt_int: $tType ).

thf(type_def_48,type,
    set_Pr8551490117392284871at_nat: $tType ).

thf(type_def_49,type,
    produc424102278133772007at_nat: $tType ).

thf(type_def_50,type,
    produc337509097454979815n_assn: $tType ).

thf(type_def_51,type,
    list_s4242580248156217677at_nat: $tType ).

thf(type_def_52,type,
    produc6756470014200349799atural: $tType ).

thf(type_def_53,type,
    produc4166570645942440679at_nat: $tType ).

thf(type_def_54,type,
    list_P5464809261938338413at_nat: $tType ).

thf(type_def_55,type,
    list_P28140577958321773n_assn: $tType ).

thf(type_def_56,type,
    set_Pr4329608150637261639at_nat: $tType ).

thf(type_def_57,type,
    set_Pr8116311503512020807n_assn: $tType ).

thf(type_def_58,type,
    option8956607266484857688it_nat: $tType ).

thf(type_def_59,type,
    produc3843707927480180839at_nat: $tType ).

thf(type_def_60,type,
    produc9053633027152450663n_assn: $tType ).

thf(type_def_61,type,
    set_Pr457366540195662369at_nat: $tType ).

thf(type_def_62,type,
    set_Pr488414391616402044st_nat: $tType ).

thf(type_def_63,type,
    set_Pr4898238009683259096st_int: $tType ).

thf(type_def_64,type,
    set_Pr7093487733527993602n_assn: $tType ).

thf(type_def_65,type,
    set_Pr4168565316758867366n_assn: $tType ).

thf(type_def_66,type,
    list_P8469869581646625389at_nat: $tType ).

thf(type_def_67,type,
    set_Pr8693737435421807431at_nat: $tType ).

thf(type_def_68,type,
    produc8664842809031399944it_nat: $tType ).

thf(type_def_69,type,
    produc732395585841259969at_nat: $tType ).

thf(type_def_70,type,
    set_Pr1932065953672099015od_o_o: $tType ).

thf(type_def_71,type,
    produc6654255674790325574st_nat: $tType ).

thf(type_def_72,type,
    produc4164172529858598818st_int: $tType ).

thf(type_def_73,type,
    produc2555908794901494476n_assn: $tType ).

thf(type_def_74,type,
    produc8582807064127716720n_assn: $tType ).

thf(type_def_75,type,
    list_P7985473006766602707_nat_o: $tType ).

thf(type_def_76,type,
    produc5835291356934675326atural: $tType ).

thf(type_def_77,type,
    set_Pr4532377907799695533_nat_o: $tType ).

thf(type_def_78,type,
    list_i8448526496819171953e_term: $tType ).

thf(type_def_79,type,
    produc859450856879609959at_nat: $tType ).

thf(type_def_80,type,
    set_in3461395444621081367e_term: $tType ).

thf(type_def_81,type,
    produc2934264451710624999od_o_o: $tType ).

thf(type_def_82,type,
    list_P9062070895058802706et_nat: $tType ).

thf(type_def_83,type,
    set_Pr3948176798113811640et_nat: $tType ).

thf(type_def_84,type,
    list_P2911967483291296064sn_nat: $tType ).

thf(type_def_85,type,
    list_P421884338359569308sn_int: $tType ).

thf(type_def_86,type,
    list_P7711101519850957926n_assn: $tType ).

thf(type_def_87,type,
    list_P1495281457390866698n_assn: $tType ).

thf(type_def_88,type,
    set_Pr4672072672689440998sn_nat: $tType ).

thf(type_def_89,type,
    set_Pr2181989527757714242sn_int: $tType ).

thf(type_def_90,type,
    set_Pr247834672394327052n_assn: $tType ).

thf(type_def_91,type,
    set_Pr3255386646789011632n_assn: $tType ).

thf(type_def_92,type,
    produc4972180933644002618e_term: $tType ).

thf(type_def_93,type,
    produc6241069584506657477e_term: $tType ).

thf(type_def_94,type,
    produc3658429121746597890et_nat: $tType ).

thf(type_def_95,type,
    list_P5953897101696565392at_nat: $tType ).

thf(type_def_96,type,
    list_P3463813956764838636at_int: $tType ).

thf(type_def_97,type,
    list_P1909269847677398966at_nat: $tType ).

thf(type_def_98,type,
    list_P812186867033400410at_nat: $tType ).

thf(type_def_99,type,
    set_Pr2539167527615954998at_nat: $tType ).

thf(type_def_100,type,
    set_Pr49084382684228242at_int: $tType ).

thf(type_def_101,type,
    set_Pr7717912310451564380at_nat: $tType ).

thf(type_def_102,type,
    set_Pr6620829329807565824at_nat: $tType ).

thf(type_def_103,type,
    produc3672657496626091440sn_nat: $tType ).

thf(type_def_104,type,
    produc8718178513971670540sn_int: $tType ).

thf(type_def_105,type,
    produc1407301962063123414n_assn: $tType ).

thf(type_def_106,type,
    produc3167338625816234618n_assn: $tType ).

thf(type_def_107,type,
    list_s9130966667114977576at_nat: $tType ).

thf(type_def_108,type,
    produc254973753779126261st_nat: $tType ).

thf(type_def_109,type,
    produc5834231552977413017st_int: $tType ).

thf(type_def_110,type,
    set_Pr3451248702717554689st_nat: $tType ).

thf(type_def_111,type,
    set_Pr7861072320784411741st_int: $tType ).

thf(type_def_112,type,
    set_Pr5578615432719617117st_nat: $tType ).

thf(type_def_113,type,
    set_Pr765067013931698361st_int: $tType ).

thf(type_def_114,type,
    list_l6351802567095793725n_assn: $tType ).

thf(type_def_115,type,
    produc8551481072490612790e_term: $tType ).

thf(type_def_116,type,
    list_P5578671422887162913nteger: $tType ).

thf(type_def_117,type,
    set_Pr4811707699266497531nteger: $tType ).

thf(type_def_118,type,
    option6357759511663192854e_term: $tType ).

thf(type_def_119,type,
    set_Pr3005433631314115148st_nat: $tType ).

thf(type_def_120,type,
    set_Pr7415257249380972200st_int: $tType ).

thf(type_def_121,type,
    set_Pr6760183905301009355st_nat: $tType ).

thf(type_def_122,type,
    set_Pr1946635486513090599st_int: $tType ).

thf(type_def_123,type,
    set_Pr9082979648927643218list_d: $tType ).

thf(type_def_124,type,
    set_Pr2380792130361903057list_c: $tType ).

thf(type_def_125,type,
    produc6653097349344004940it_nat: $tType ).

thf(type_def_126,type,
    produc8373899037510109440at_nat: $tType ).

thf(type_def_127,type,
    produc4196048018000912732at_int: $tType ).

thf(type_def_128,type,
    produc7248412053542808358at_nat: $tType ).

thf(type_def_129,type,
    produc1062882101152166346at_nat: $tType ).

thf(type_def_130,type,
    set_Pr5674772971416283335list_d: $tType ).

thf(type_def_131,type,
    set_Pr8195957489705318982list_c: $tType ).

thf(type_def_132,type,
    set_Pr8760529213406277896list_d: $tType ).

thf(type_def_133,type,
    set_Pr2058341694840537735list_c: $tType ).

thf(type_def_134,type,
    produc1828647624359046049st_nat: $tType ).

thf(type_def_135,type,
    produc8561936516282095101st_int: $tType ).

thf(type_def_136,type,
    produc3676724955757786621st_nat: $tType ).

thf(type_def_137,type,
    produc1186641810826059865st_int: $tType ).

thf(type_def_138,type,
    list_s1210847774152347623at_nat: $tType ).

thf(type_def_139,type,
    list_P8527749157015355191n_assn: $tType ).

thf(type_def_140,type,
    set_se7855581050983116737at_nat: $tType ).

thf(type_def_141,type,
    set_Pr5949110396991348497n_assn: $tType ).

thf(type_def_142,type,
    produc7822875418678951345atural: $tType ).

thf(type_def_143,type,
    produc8923325533196201883nteger: $tType ).

thf(type_def_144,type,
    produc2433097559162738582st_nat: $tType ).

thf(type_def_145,type,
    produc9166386451085787634st_int: $tType ).

thf(type_def_146,type,
    produc1766198083622830229st_nat: $tType ).

thf(type_def_147,type,
    produc8499486975545879281st_int: $tType ).

thf(type_def_148,type,
    produc1726512871120090780list_d: $tType ).

thf(type_def_149,type,
    produc1655478831073744795list_c: $tType ).

thf(type_def_150,type,
    multis2468970476368604999at_nat: $tType ).

thf(type_def_151,type,
    produc2783776724613635559list_d: $tType ).

thf(type_def_152,type,
    produc2712742684567289574list_c: $tType ).

thf(type_def_153,type,
    produc8056257125849822888list_d: $tType ).

thf(type_def_154,type,
    produc7985223085803476903list_c: $tType ).

thf(type_def_155,type,
    filter1242075044329608583at_nat: $tType ).

thf(type_def_156,type,
    list_P6011104703257516679at_nat: $tType ).

thf(type_def_157,type,
    list_P3521021558325789923at_int: $tType ).

thf(type_def_158,type,
    list_P8198026277950538467nt_nat: $tType ).

thf(type_def_159,type,
    list_P5707943133018811711nt_int: $tType ).

thf(type_def_160,type,
    set_Pr1261947904930325089at_nat: $tType ).

thf(type_def_161,type,
    set_Pr7995236796853374141at_int: $tType ).

thf(type_def_162,type,
    set_Pr3448869479623346877nt_nat: $tType ).

thf(type_def_163,type,
    set_Pr958786334691620121nt_int: $tType ).

thf(type_def_164,type,
    produc6575502325842934193n_assn: $tType ).

thf(type_def_165,type,
    list_P1934797086108301456_d_nat: $tType ).

thf(type_def_166,type,
    list_P8668085978031350508_d_int: $tType ).

thf(type_def_167,type,
    list_P5561950507774946575_c_nat: $tType ).

thf(type_def_168,type,
    list_P3071867362843219819_c_int: $tType ).

thf(type_def_169,type,
    list_P3064893870870525238_nat_d: $tType ).

thf(type_def_170,type,
    list_P2993859830824179253_nat_c: $tType ).

thf(type_def_171,type,
    set_Pr3276347184212964150_d_nat: $tType ).

thf(type_def_172,type,
    set_Pr786264039281237394_d_int: $tType ).

thf(type_def_173,type,
    set_Pr6903500605879609269_c_nat: $tType ).

thf(type_def_174,type,
    set_Pr4413417460947882513_c_int: $tType ).

thf(type_def_175,type,
    set_Pr4406443968975187932_nat_d: $tType ).

thf(type_def_176,type,
    set_Pr4335409928928841947_nat_c: $tType ).

thf(type_def_177,type,
    produc6271795597528267376eger_o: $tType ).

thf(type_def_178,type,
    heap_T5738788834812785303t_unit: $tType ).

thf(type_def_179,type,
    list_P8926467638345140077od_d_d: $tType ).

thf(type_def_180,type,
    list_P8855433598298794092od_d_c: $tType ).

thf(type_def_181,type,
    list_P338744602095350958od_c_d: $tType ).

thf(type_def_182,type,
    list_P267710562049004973od_c_c: $tType ).

thf(type_def_183,type,
    set_Product_prod_d_d: $tType ).

thf(type_def_184,type,
    set_Product_prod_d_c: $tType ).

thf(type_def_185,type,
    set_Product_prod_c_d: $tType ).

thf(type_def_186,type,
    set_Product_prod_c_c: $tType ).

thf(type_def_187,type,
    heap_e7401611519738050253t_unit: $tType ).

thf(type_def_188,type,
    product_prod_num_num: $tType ).

thf(type_def_189,type,
    product_prod_nat_nat: $tType ).

thf(type_def_190,type,
    product_prod_nat_int: $tType ).

thf(type_def_191,type,
    product_prod_int_nat: $tType ).

thf(type_def_192,type,
    product_prod_int_int: $tType ).

thf(type_def_193,type,
    set_Product_prod_o_o: $tType ).

thf(type_def_194,type,
    list_nat_nat: $tType ).

thf(type_def_195,type,
    filter_set_nat: $tType ).

thf(type_def_196,type,
    product_prod_d_nat: $tType ).

thf(type_def_197,type,
    product_prod_d_int: $tType ).

thf(type_def_198,type,
    product_prod_c_nat: $tType ).

thf(type_def_199,type,
    product_prod_c_int: $tType ).

thf(type_def_200,type,
    product_prod_nat_d: $tType ).

thf(type_def_201,type,
    product_prod_nat_c: $tType ).

thf(type_def_202,type,
    list_list_nat: $tType ).

thf(type_def_203,type,
    list_list_int: $tType ).

thf(type_def_204,type,
    list_set_nat: $tType ).

thf(type_def_205,type,
    list_set_int: $tType ).

thf(type_def_206,type,
    list_Code_integer: $tType ).

thf(type_def_207,type,
    set_set_nat: $tType ).

thf(type_def_208,type,
    set_Code_integer: $tType ).

thf(type_def_209,type,
    product_prod_d_d: $tType ).

thf(type_def_210,type,
    product_prod_d_c: $tType ).

thf(type_def_211,type,
    product_prod_c_d: $tType ).

thf(type_def_212,type,
    product_prod_c_c: $tType ).

thf(type_def_213,type,
    list_assn: $tType ).

thf(type_def_214,type,
    product_prod_o_o: $tType ).

thf(type_def_215,type,
    list_set_o: $tType ).

thf(type_def_216,type,
    set_assn: $tType ).

thf(type_def_217,type,
    filter_nat: $tType ).

thf(type_def_218,type,
    list_rat: $tType ).

thf(type_def_219,type,
    list_num: $tType ).

thf(type_def_220,type,
    list_nat: $tType ).

thf(type_def_221,type,
    list_int: $tType ).

thf(type_def_222,type,
    set_num: $tType ).

thf(type_def_223,type,
    set_nat: $tType ).

thf(type_def_224,type,
    set_int: $tType ).

thf(type_def_225,type,
    code_natural: $tType ).

thf(type_def_226,type,
    code_integer: $tType ).

thf(type_def_227,type,
    product_unit: $tType ).

thf(type_def_228,type,
    list_d: $tType ).

thf(type_def_229,type,
    list_c: $tType ).

thf(type_def_230,type,
    set_d: $tType ).

thf(type_def_231,type,
    set_c: $tType ).

thf(type_def_232,type,
    list_o: $tType ).

thf(type_def_233,type,
    assn: $tType ).

thf(type_def_234,type,
    set_o: $tType ).

thf(type_def_235,type,
    rat: $tType ).

thf(type_def_236,type,
    num: $tType ).

thf(type_def_237,type,
    nat: $tType ).

thf(type_def_238,type,
    int: $tType ).

thf(type_def_239,type,
    d: $tType ).

thf(type_def_240,type,
    c: $tType ).

thf(type_def_241,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    abs_assn: ( produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_1,type,
    rep_assn: assn > produc3658429121746597890et_nat > $o ).

thf(func_def_2,type,
    entails: assn > assn > $o ).

thf(func_def_3,type,
    entailst: assn > assn > $o ).

thf(func_def_4,type,
    in_range: produc3658429121746597890et_nat > $o ).

thf(func_def_5,type,
    is_pure_assn: assn > $o ).

thf(func_def_6,type,
    one_assn_raw: produc3658429121746597890et_nat > $o ).

thf(func_def_7,type,
    proper: ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_8,type,
    pure_assn: $o > assn ).

thf(func_def_9,type,
    pure_a825153325127701367it_nat: $o > produc3658429121746597890et_nat > $o ).

thf(func_def_10,type,
    relH: set_nat > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > $o ).

thf(func_def_11,type,
    times_assn_raw: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_12,type,
    times_assn_raw_rel: produc2732055786443039994et_nat > produc2732055786443039994et_nat > $o ).

thf(func_def_13,type,
    wand_assn: assn > assn > assn ).

thf(func_def_14,type,
    wand_raw: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_15,type,
    wand_raw_rel: produc2732055786443039994et_nat > produc2732055786443039994et_nat > $o ).

thf(func_def_16,type,
    fi: list_P8527749157015355191n_assn > assn > assn > assn > assn > assn > $o ).

thf(func_def_17,type,
    fI_QUERY: assn > assn > assn > $o ).

thf(func_def_18,type,
    fI_RESULT: list_P8527749157015355191n_assn > assn > assn > assn > $o ).

thf(func_def_19,type,
    sln: assn ).

thf(func_def_20,type,
    bNF_Cardinal_ctwo: set_Product_prod_o_o ).

thf(func_def_21,type,
    bNF_Cardinal_czero_o: set_Product_prod_o_o ).

thf(func_def_22,type,
    bNF_Ca3793111618940312692of_nat: set_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_23,type,
    bNF_Ca8331644756375544342r_on_o: set_o > set_Product_prod_o_o > $o ).

thf(func_def_24,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

thf(func_def_25,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

thf(func_def_26,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_27,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_28,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_29,type,
    bNF_re2214769303045360666nt_rat: ( int > int > $o ) > ( product_prod_int_int > rat > $o ) > ( int > product_prod_int_int ) > ( int > rat ) > $o ).

thf(func_def_30,type,
    bNF_re578469030762574527_nat_o: ( nat > nat > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_31,type,
    bNF_re4705727531993890431at_o_o: ( nat > nat > $o ) > ( $o > $o > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_32,type,
    bNF_re6830278522597306478at_int: ( nat > nat > $o ) > ( product_prod_nat_nat > int > $o ) > ( nat > product_prod_nat_nat ) > ( nat > int ) > $o ).

thf(func_def_33,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_34,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_35,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_36,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_37,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_38,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_39,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_40,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_41,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_42,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_43,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_44,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_45,type,
    bNF_We2654380646378065620so_o_o: set_Pr1932065953672099015od_o_o ).

thf(func_def_46,type,
    bNF_We5258908940166488438at_nat: set_Pr4329608150637261639at_nat ).

thf(func_def_47,type,
    bNF_We8182288985678559134_o_nat: set_Pr457366540195662369at_nat ).

thf(func_def_48,type,
    bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_49,type,
    binomial: nat > nat > nat ).

thf(func_def_50,type,
    bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_51,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_52,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(func_def_53,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(func_def_54,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(func_def_55,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(func_def_56,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(func_def_57,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

thf(func_def_58,type,
    code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_59,type,
    code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_60,type,
    code_nat_of_integer: code_integer > nat ).

thf(func_def_61,type,
    code_nat_of_natural: code_natural > nat ).

thf(func_def_62,type,
    code_natural_of_nat: nat > code_natural ).

thf(func_def_63,type,
    complete_Inf_Inf_nat: set_nat > nat ).

thf(func_def_64,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

thf(func_def_65,type,
    complete_Sup_Sup_nat: set_nat > nat ).

thf(func_def_66,type,
    adjust_div: product_prod_int_int > int ).

thf(func_def_67,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_68,type,
    eucl_rel_int: int > int > product_prod_int_int > $o ).

thf(func_def_69,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

thf(func_def_70,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(func_def_71,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(func_def_72,type,
    unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).

thf(func_def_73,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(func_def_74,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(func_def_75,type,
    unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_76,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(func_def_77,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_78,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(func_def_79,type,
    inverse_inverse_rat: rat > rat ).

thf(func_def_80,type,
    at_top_nat: filter_nat ).

thf(func_def_81,type,
    cofinite_nat: filter_nat ).

thf(func_def_82,type,
    eventually_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_83,type,
    eventu1038000079068216329at_nat: ( product_prod_nat_nat > $o ) > filter1242075044329608583at_nat > $o ).

thf(func_def_84,type,
    filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).

thf(func_def_85,type,
    filter3212408913953519116et_nat: ( nat > set_nat ) > filter_set_nat > filter_nat > $o ).

thf(func_def_86,type,
    finite3254316476582989077op_nat: set_nat > filter_set_nat ).

thf(func_def_87,type,
    frequently_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_88,type,
    prod_filter_nat_nat: filter_nat > filter_nat > filter1242075044329608583at_nat ).

thf(func_def_89,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_90,type,
    finite6017078050557962740nteger: set_Code_integer > $o ).

thf(func_def_91,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_92,type,
    finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_93,type,
    comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_94,type,
    comp_o_o_int: ( $o > $o ) > ( int > $o ) > int > $o ).

thf(func_def_95,type,
    comp_o_o_nat: ( $o > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_96,type,
    comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_97,type,
    id_o: $o > $o ).

thf(func_def_98,type,
    map_fu434086159418415080_int_o: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > $o ) > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > int > int > $o ).

thf(func_def_99,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_100,type,
    map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).

thf(func_def_101,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_102,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_103,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_104,type,
    strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_105,type,
    fun_max_strict: set_Pr4329608150637261639at_nat ).

thf(func_def_106,type,
    fun_max_weak: set_Pr4329608150637261639at_nat ).

thf(func_def_107,type,
    fun_min_strict: set_Pr4329608150637261639at_nat ).

thf(func_def_108,type,
    fun_min_weak: set_Pr4329608150637261639at_nat ).

thf(func_def_109,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

thf(func_def_110,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

thf(func_def_111,type,
    fun_re7357418987779152907at_nat: produc4193628355235574503at_nat > $o ).

thf(func_def_112,type,
    fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).

thf(func_def_113,type,
    gcd_Gcd_int: set_int > int ).

thf(func_def_114,type,
    gcd_Gcd_nat: set_nat > nat ).

thf(func_def_115,type,
    gcd_Lcm_int: set_int > int ).

thf(func_def_116,type,
    gcd_Lcm_nat: set_nat > nat ).

thf(func_def_117,type,
    bezw: nat > nat > product_prod_int_int ).

thf(func_def_118,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_119,type,
    gcd_gcd_int: int > int > int ).

thf(func_def_120,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(func_def_121,type,
    gcd_lcm_int: int > int > int ).

thf(func_def_122,type,
    gcd_lcm_nat: nat > nat > nat ).

thf(func_def_123,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_124,type,
    abs_abs_Code_integer: code_integer > code_integer ).

thf(func_def_125,type,
    abs_abs_int: int > int ).

thf(func_def_126,type,
    abs_abs_rat: rat > rat ).

thf(func_def_127,type,
    minus_minus_assn: assn > assn > assn ).

thf(func_def_128,type,
    minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).

thf(func_def_129,type,
    minus_minus_int: int > int > int ).

thf(func_def_130,type,
    minus_4286766774447292334at_nat: multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_131,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_132,type,
    minus_minus_rat: rat > rat > rat ).

thf(func_def_133,type,
    minus_1801376950450012436_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_134,type,
    minus_minus_set_o: set_o > set_o > set_o ).

thf(func_def_135,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(func_def_136,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_137,type,
    minus_2301194108115264760n_assn: set_Pr5949110396991348497n_assn > set_Pr5949110396991348497n_assn > set_Pr5949110396991348497n_assn ).

thf(func_def_138,type,
    minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_139,type,
    minus_3314409938677909166at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_140,type,
    minus_minus_set_c: set_c > set_c > set_c ).

thf(func_def_141,type,
    minus_minus_set_d: set_d > set_d > set_d ).

thf(func_def_142,type,
    one_one_assn: assn ).

thf(func_def_143,type,
    one_one_Code_integer: code_integer ).

thf(func_def_144,type,
    one_one_Code_natural: code_natural ).

thf(func_def_145,type,
    one_one_int: int ).

thf(func_def_146,type,
    one_one_nat: nat ).

thf(func_def_147,type,
    one_one_rat: rat ).

thf(func_def_148,type,
    plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).

thf(func_def_149,type,
    plus_p4538020629002901425atural: code_natural > code_natural > code_natural ).

thf(func_def_150,type,
    plus_plus_int: int > int > int ).

thf(func_def_151,type,
    plus_p7104986032573967614at_nat: multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_152,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_153,type,
    plus_plus_num: num > num > num ).

thf(func_def_154,type,
    plus_plus_rat: rat > rat > rat ).

thf(func_def_155,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

thf(func_def_156,type,
    sgn_sgn_int: int > int ).

thf(func_def_157,type,
    sgn_sgn_rat: rat > rat ).

thf(func_def_158,type,
    times_times_assn: assn > assn > assn ).

thf(func_def_159,type,
    times_3573771949741848930nteger: code_integer > code_integer > code_integer ).

thf(func_def_160,type,
    times_2397367101498566445atural: code_natural > code_natural > code_natural ).

thf(func_def_161,type,
    times_times_int: int > int > int ).

thf(func_def_162,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_163,type,
    times_times_rat: rat > rat > rat ).

thf(func_def_164,type,
    uminus_uminus_assn: assn > assn ).

thf(func_def_165,type,
    uminus1351360451143612070nteger: code_integer > code_integer ).

thf(func_def_166,type,
    uminus_uminus_int: int > int ).

thf(func_def_167,type,
    uminus_uminus_rat: rat > rat ).

thf(func_def_168,type,
    zero_z3403309356797280102nteger: code_integer ).

thf(func_def_169,type,
    zero_z2226904508553997617atural: code_natural ).

thf(func_def_170,type,
    zero_zero_int: int ).

thf(func_def_171,type,
    zero_z1048942125864253310at_nat: multis2468970476368604999at_nat ).

thf(func_def_172,type,
    zero_zero_nat: nat ).

thf(func_def_173,type,
    zero_zero_rat: rat ).

thf(func_def_174,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_175,type,
    lim_Product_unit: heap_e7401611519738050253t_unit > nat ).

thf(func_def_176,type,
    heap_T6183433275982383450t_unit: ( heap_e7401611519738050253t_unit > option8956607266484857688it_nat ) > heap_T5738788834812785303t_unit ).

thf(func_def_177,type,
    heap_T875086893843062177t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > option8956607266484857688it_nat ).

thf(func_def_178,type,
    heap_Time_wait: nat > heap_T5738788834812785303t_unit ).

thf(func_def_179,type,
    hoare_8945653483474564448t_unit: assn > heap_T5738788834812785303t_unit > ( product_unit > assn ) > $o ).

thf(func_def_180,type,
    hoare_new_addrs: heap_e7401611519738050253t_unit > set_nat > heap_e7401611519738050253t_unit > set_nat ).

thf(func_def_181,type,
    if_assn: $o > assn > assn > assn ).

thf(func_def_182,type,
    if_Code_integer: $o > code_integer > code_integer > code_integer ).

thf(func_def_183,type,
    if_filter_nat: $o > filter_nat > filter_nat > filter_nat ).

thf(func_def_184,type,
    if_int: $o > int > int > int ).

thf(func_def_185,type,
    if_lis2904118647880296857_nat_o: $o > list_P7985473006766602707_nat_o > list_P7985473006766602707_nat_o > list_P7985473006766602707_nat_o ).

thf(func_def_186,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(func_def_187,type,
    if_list_nat: $o > list_nat > list_nat > list_nat ).

thf(func_def_188,type,
    if_lis7173127979115136509n_assn: $o > list_P8527749157015355191n_assn > list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

thf(func_def_189,type,
    if_lis9186351972506106189at_nat: $o > list_P6011104703257516679at_nat > list_P6011104703257516679at_nat > list_P6011104703257516679at_nat ).

thf(func_def_190,type,
    if_lis7508161100780771379at_nat: $o > list_P5464809261938338413at_nat > list_P5464809261938338413at_nat > list_P5464809261938338413at_nat ).

thf(func_def_191,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_192,type,
    if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).

thf(func_def_193,type,
    if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_194,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(func_def_195,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_196,type,
    if_set_int: $o > set_int > set_int > set_int ).

thf(func_def_197,type,
    if_set_nat: $o > set_nat > set_nat > set_nat ).

thf(func_def_198,type,
    infini8530281810654367211te_nat: set_nat > nat > nat ).

thf(func_def_199,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(func_def_200,type,
    rep_Integ: int > product_prod_nat_nat ).

thf(func_def_201,type,
    intrel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_202,type,
    nat2: int > nat ).

thf(func_def_203,type,
    pcr_int: product_prod_nat_nat > int > $o ).

thf(func_def_204,type,
    ring_1_of_int_rat: int > rat ).

thf(func_def_205,type,
    inf_inf_assn: assn > assn > assn ).

thf(func_def_206,type,
    inf_inf_filter_nat: filter_nat > filter_nat > filter_nat ).

thf(func_def_207,type,
    inf_inf_int: int > int > int ).

thf(func_def_208,type,
    inf_inf_nat: nat > nat > nat ).

thf(func_def_209,type,
    inf_in1906310914598751387_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_210,type,
    inf_inf_set_o: set_o > set_o > set_o ).

thf(func_def_211,type,
    inf_inf_set_int: set_int > set_int > set_int ).

thf(func_def_212,type,
    inf_inf_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_213,type,
    inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_214,type,
    inf_in7913087082777306421at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_215,type,
    semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_216,type,
    sup_sup_assn: assn > assn > assn ).

thf(func_def_217,type,
    sup_sup_filter_nat: filter_nat > filter_nat > filter_nat ).

thf(func_def_218,type,
    sup_sup_int: int > int > int ).

thf(func_def_219,type,
    sup_sup_nat: nat > nat > nat ).

thf(func_def_220,type,
    sup_su5209123915105501825_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_221,type,
    sup_sup_set_o: set_o > set_o > set_o ).

thf(func_def_222,type,
    sup_sup_set_int: set_int > set_int > set_int ).

thf(func_def_223,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_224,type,
    sup_su5769328420594410459od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o ).

thf(func_def_225,type,
    sup_su1735938885662425829n_assn: set_Pr5949110396991348497n_assn > set_Pr5949110396991348497n_assn > set_Pr5949110396991348497n_assn ).

thf(func_def_226,type,
    sup_su6327502436637775413at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_227,type,
    sup_su6664651903789602459at_nat: set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat ).

thf(func_def_228,type,
    sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_229,type,
    sup_su3642409539654194069at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).

thf(func_def_230,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(func_def_231,type,
    all_interval_int: ( int > $o ) > int > int > $o ).

thf(func_def_232,type,
    all_interval_nat: ( nat > $o ) > nat > nat > $o ).

thf(func_def_233,type,
    append_int: list_int > list_int > list_int ).

thf(func_def_234,type,
    append_nat: list_nat > list_nat > list_nat ).

thf(func_def_235,type,
    butlas8287983287669047583_nat_o: list_P7985473006766602707_nat_o > list_P7985473006766602707_nat_o ).

thf(func_def_236,type,
    butlast_int: list_int > list_int ).

thf(func_def_237,type,
    butlast_nat: list_nat > list_nat ).

thf(func_def_238,type,
    butlas3012047794866324995n_assn: list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

thf(func_def_239,type,
    butlas5569151904373679443at_nat: list_P6011104703257516679at_nat > list_P6011104703257516679at_nat ).

thf(func_def_240,type,
    butlas2561766218336428473at_nat: list_P5464809261938338413at_nat > list_P5464809261938338413at_nat ).

thf(func_def_241,type,
    butlast_c: list_c > list_c ).

thf(func_def_242,type,
    butlast_d: list_d > list_d ).

thf(func_def_243,type,
    coset_9017067850271954240_nat_o: list_P7985473006766602707_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_244,type,
    coset_o: list_o > set_o ).

thf(func_def_245,type,
    coset_int: list_int > set_int ).

thf(func_def_246,type,
    coset_nat: list_nat > set_nat ).

thf(func_def_247,type,
    coset_703488708621576356n_assn: list_P8527749157015355191n_assn > set_Pr5949110396991348497n_assn ).

thf(func_def_248,type,
    coset_6809516720700967924at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_249,type,
    coset_5307619257043544794at_nat: list_P5464809261938338413at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_250,type,
    count_5695430372156137289_nat_o: list_P7985473006766602707_nat_o > ( produc3658429121746597890et_nat > $o ) > nat ).

thf(func_def_251,type,
    count_list_int: list_int > int > nat ).

thf(func_def_252,type,
    count_list_nat: list_nat > nat > nat ).

thf(func_def_253,type,
    count_2530312006313534765n_assn: list_P8527749157015355191n_assn > produc6575502325842934193n_assn > nat ).

thf(func_def_254,type,
    count_4203492906077236349at_nat: list_P6011104703257516679at_nat > product_prod_nat_nat > nat ).

thf(func_def_255,type,
    count_1483299019173949923at_nat: list_P5464809261938338413at_nat > produc3843707927480180839at_nat > nat ).

thf(func_def_256,type,
    distin299582740263731014_nat_o: list_P7985473006766602707_nat_o > $o ).

thf(func_def_257,type,
    distinct_o: list_o > $o ).

thf(func_def_258,type,
    distin1543349897113766820nteger: list_Code_integer > $o ).

thf(func_def_259,type,
    distinct_int: list_int > $o ).

thf(func_def_260,type,
    distinct_nat: list_nat > $o ).

thf(func_def_261,type,
    distinct_num: list_num > $o ).

thf(func_def_262,type,
    distin4809818325527169450n_assn: list_P8527749157015355191n_assn > $o ).

thf(func_def_263,type,
    distin3744728255968310194nt_int: list_P5707943133018811711nt_int > $o ).

thf(func_def_264,type,
    distin7922579275477506902nt_nat: list_P8198026277950538467nt_nat > $o ).

thf(func_def_265,type,
    distin2745374544067255638at_int: list_P3521021558325789923at_int > $o ).

thf(func_def_266,type,
    distin6923225563576452346at_nat: list_P6011104703257516679at_nat > $o ).

thf(func_def_267,type,
    distin5355857245021852384at_nat: list_P5464809261938338413at_nat > $o ).

thf(func_def_268,type,
    distinct_c: list_c > $o ).

thf(func_def_269,type,
    distinct_d: list_d > $o ).

thf(func_def_270,type,
    drop_nat: nat > list_nat > list_nat ).

thf(func_def_271,type,
    enumerate_int: nat > list_int > list_P3521021558325789923at_int ).

thf(func_def_272,type,
    enumerate_nat: nat > list_nat > list_P6011104703257516679at_nat ).

thf(func_def_273,type,
    enumer9200277086812776726n_assn: nat > list_P8527749157015355191n_assn > list_P7711101519850957926n_assn ).

thf(func_def_274,type,
    enumerate_c: nat > list_c > list_P2993859830824179253_nat_c ).

thf(func_def_275,type,
    enumerate_d: nat > list_d > list_P3064893870870525238_nat_d ).

thf(func_def_276,type,
    filter_nat2: ( nat > $o ) > list_nat > list_nat ).

thf(func_def_277,type,
    fold_int_int: ( int > int > int ) > list_int > int > int ).

thf(func_def_278,type,
    fold_nat_nat: ( nat > nat > nat ) > list_nat > nat > nat ).

thf(func_def_279,type,
    foldl_assn_assn: ( assn > assn > assn ) > assn > list_assn > assn ).

thf(func_def_280,type,
    foldl_1542389171486570077nteger: ( code_integer > code_integer > code_integer ) > code_integer > list_Code_integer > code_integer ).

thf(func_def_281,type,
    foldl_int_int: ( int > int > int ) > int > list_int > int ).

thf(func_def_282,type,
    foldl_nat_nat: ( nat > nat > nat ) > nat > list_nat > nat ).

thf(func_def_283,type,
    foldl_rat_rat: ( rat > rat > rat ) > rat > list_rat > rat ).

thf(func_def_284,type,
    foldl_set_o_set_o: ( set_o > set_o > set_o ) > set_o > list_set_o > set_o ).

thf(func_def_285,type,
    foldl_6819690284573351271et_int: ( set_int > set_int > set_int ) > set_int > list_set_int > set_int ).

thf(func_def_286,type,
    foldl_4988731653086973103et_nat: ( set_nat > set_nat > set_nat ) > set_nat > list_set_nat > set_nat ).

thf(func_def_287,type,
    foldl_5307762784932486881at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > list_s1210847774152347623at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_288,type,
    foldl_4541198706405875041at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat > list_s4242580248156217677at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_289,type,
    foldr_assn_assn: ( assn > assn > assn ) > list_assn > assn > assn ).

thf(func_def_290,type,
    insert8021100735160035049_nat_o: ( produc3658429121746597890et_nat > $o ) > list_P7985473006766602707_nat_o > list_P7985473006766602707_nat_o ).

thf(func_def_291,type,
    insert_o: $o > list_o > list_o ).

thf(func_def_292,type,
    insert_int: int > list_int > list_int ).

thf(func_def_293,type,
    insert_nat: nat > list_nat > list_nat ).

thf(func_def_294,type,
    insert3246601298802261197n_assn: produc6575502325842934193n_assn > list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

thf(func_def_295,type,
    insert8944034826898310173at_nat: product_prod_nat_nat > list_P6011104703257516679at_nat > list_P6011104703257516679at_nat ).

thf(func_def_296,type,
    insert4149901806602606979at_nat: produc3843707927480180839at_nat > list_P5464809261938338413at_nat > list_P5464809261938338413at_nat ).

thf(func_def_297,type,
    last_nat: list_nat > nat ).

thf(func_def_298,type,
    lenlex_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).

thf(func_def_299,type,
    lenlex_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).

thf(func_def_300,type,
    lenlex6671093235567761724n_assn: set_Pr8116311503512020807n_assn > set_Pr6863447823992824007n_assn ).

thf(func_def_301,type,
    lenlex1357538814655152620at_nat: set_Pr4329608150637261639at_nat > set_Pr4333006031979791559at_nat ).

thf(func_def_302,type,
    lenlex_c: set_Product_prod_c_c > set_Pr2058341694840537735list_c ).

thf(func_def_303,type,
    lenlex_d: set_Product_prod_d_d > set_Pr5674772971416283335list_d ).

thf(func_def_304,type,
    lex_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).

thf(func_def_305,type,
    lex_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).

thf(func_def_306,type,
    lex_Pr7559194461235888923n_assn: set_Pr8116311503512020807n_assn > set_Pr6863447823992824007n_assn ).

thf(func_def_307,type,
    lex_se2245640040323279819at_nat: set_Pr4329608150637261639at_nat > set_Pr4333006031979791559at_nat ).

thf(func_def_308,type,
    lex_c: set_Product_prod_c_c > set_Pr2058341694840537735list_c ).

thf(func_def_309,type,
    lex_d: set_Product_prod_d_d > set_Pr5674772971416283335list_d ).

thf(func_def_310,type,
    lexn_int: set_Pr958786334691620121nt_int > nat > set_Pr765067013931698361st_int ).

thf(func_def_311,type,
    lexn_nat: set_Pr1261947904930325089at_nat > nat > set_Pr3451248702717554689st_nat ).

thf(func_def_312,type,
    lexn_c: set_Product_prod_c_c > nat > set_Pr2058341694840537735list_c ).

thf(func_def_313,type,
    lexn_d: set_Product_prod_d_d > nat > set_Pr5674772971416283335list_d ).

thf(func_def_314,type,
    linord1735203802627413978nt_int: ( int > int ) > list_int > list_int ).

thf(func_def_315,type,
    linord738340561235409698at_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_316,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

thf(func_def_317,type,
    cons_nat_nat: ( nat > nat ) > list_nat_nat > list_nat_nat ).

thf(func_def_318,type,
    cons_P6219271836124797827_nat_o: ( produc3658429121746597890et_nat > $o ) > list_P7985473006766602707_nat_o > list_P7985473006766602707_nat_o ).

thf(func_def_319,type,
    cons_s2538900923071588440at_nat: ( set_Pr1261947904930325089at_nat > nat ) > list_s9130966667114977576at_nat > list_s9130966667114977576at_nat ).

thf(func_def_320,type,
    cons_o: $o > list_o > list_o ).

thf(func_def_321,type,
    cons_assn: assn > list_assn > list_assn ).

thf(func_def_322,type,
    cons_Code_integer: code_integer > list_Code_integer > list_Code_integer ).

thf(func_def_323,type,
    cons_int: int > list_int > list_int ).

thf(func_def_324,type,
    cons_list_int: list_int > list_list_int > list_list_int ).

thf(func_def_325,type,
    cons_list_nat: list_nat > list_list_nat > list_list_nat ).

thf(func_def_326,type,
    cons_l2423627976422276333n_assn: list_P8527749157015355191n_assn > list_l6351802567095793725n_assn > list_l6351802567095793725n_assn ).

thf(func_def_327,type,
    cons_nat: nat > list_nat > list_nat ).

thf(func_def_328,type,
    cons_num: num > list_num > list_num ).

thf(func_def_329,type,
    cons_P2971678138204555879n_assn: produc6575502325842934193n_assn > list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

thf(func_def_330,type,
    cons_P3334398858971670639nt_int: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int ).

thf(func_def_331,type,
    cons_P7512249878480867347nt_nat: product_prod_int_nat > list_P8198026277950538467nt_nat > list_P8198026277950538467nt_nat ).

thf(func_def_332,type,
    cons_P8828502514829229636n_assn: produc3167338625816234618n_assn > list_P1495281457390866698n_assn > list_P1495281457390866698n_assn ).

thf(func_def_333,type,
    cons_P2335045147070616083at_int: product_prod_nat_int > list_P3521021558325789923at_int > list_P3521021558325789923at_int ).

thf(func_def_334,type,
    cons_P6512896166579812791at_nat: product_prod_nat_nat > list_P6011104703257516679at_nat > list_P6011104703257516679at_nat ).

thf(func_def_335,type,
    cons_P7068465851076118432n_assn: produc1407301962063123414n_assn > list_P7711101519850957926n_assn > list_P7711101519850957926n_assn ).

thf(func_def_336,type,
    cons_P5155970366129889750sn_int: produc8718178513971670540sn_int > list_P421884338359569308sn_int > list_P421884338359569308sn_int ).

thf(func_def_337,type,
    cons_P110449348784310650sn_nat: produc3672657496626091440sn_nat > list_P2911967483291296064sn_nat > list_P2911967483291296064sn_nat ).

thf(func_def_338,type,
    cons_P9150528168557782045n_assn: produc9053633027152450663n_assn > list_P28140577958321773n_assn > list_P28140577958321773n_assn ).

thf(func_def_339,type,
    cons_P3940603068885512221at_nat: produc3843707927480180839at_nat > list_P5464809261938338413at_nat > list_P5464809261938338413at_nat ).

thf(func_def_340,type,
    cons_s6881495754146722583at_nat: set_Pr1261947904930325089at_nat > list_s1210847774152347623at_nat > list_s1210847774152347623at_nat ).

thf(func_def_341,type,
    cons_c: c > list_c > list_c ).

thf(func_def_342,type,
    cons_d: d > list_d > list_d ).

thf(func_def_343,type,
    nil_nat_nat: list_nat_nat ).

thf(func_def_344,type,
    nil_se7398569966080822440at_nat: list_s9130966667114977576at_nat ).

thf(func_def_345,type,
    nil_o: list_o ).

thf(func_def_346,type,
    nil_assn: list_assn ).

thf(func_def_347,type,
    nil_int: list_int ).

thf(func_def_348,type,
    nil_list_int: list_list_int ).

thf(func_def_349,type,
    nil_list_nat: list_list_nat ).

thf(func_def_350,type,
    nil_li5476096274760905021n_assn: list_l6351802567095793725n_assn ).

thf(func_def_351,type,
    nil_nat: list_nat ).

thf(func_def_352,type,
    nil_Pr5671120429643327159n_assn: list_P8527749157015355191n_assn ).

thf(func_def_353,type,
    nil_Pr2300489316682597567nt_int: list_P5707943133018811711nt_int ).

thf(func_def_354,type,
    nil_Pr6478340336191794275nt_nat: list_P8198026277950538467nt_nat ).

thf(func_def_355,type,
    nil_Pr2440414457004260852n_assn: list_P1495281457390866698n_assn ).

thf(func_def_356,type,
    nil_Pr1301135604781543011at_int: list_P3521021558325789923at_int ).

thf(func_def_357,type,
    nil_Pr5478986624290739719at_nat: list_P6011104703257516679at_nat ).

thf(func_def_358,type,
    nil_Pr680377793251149648n_assn: list_P7711101519850957926n_assn ).

thf(func_def_359,type,
    nil_Pr7991254345159696774sn_int: list_P421884338359569308sn_int ).

thf(func_def_360,type,
    nil_Pr2945733327814117674sn_nat: list_P2911967483291296064sn_nat ).

thf(func_def_361,type,
    nil_Pr4327835960982145133n_assn: list_P28140577958321773n_assn ).

thf(func_def_362,type,
    nil_Pr8341282898164651117at_nat: list_P5464809261938338413at_nat ).

thf(func_def_363,type,
    nil_c: list_c ).

thf(func_def_364,type,
    nil_d: list_d ).

thf(func_def_365,type,
    hd_nat: list_nat > nat ).

thf(func_def_366,type,
    list_all_int: ( int > $o ) > list_int > $o ).

thf(func_def_367,type,
    list_all_nat: ( nat > $o ) > list_nat > $o ).

thf(func_def_368,type,
    map_nat_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_369,type,
    map_Pr8991440229025900053n_assn: ( produc6575502325842934193n_assn > assn ) > list_P8527749157015355191n_assn > list_assn ).

thf(func_def_370,type,
    set_in5217446777445088012e_term: list_i8448526496819171953e_term > set_in3461395444621081367e_term ).

thf(func_def_371,type,
    set_Pr8342322266483756581e_term: list_P1316552470764441098e_term > set_Pr7604974323444597168e_term ).

thf(func_def_372,type,
    set_Pr400311997697478754_nat_o: list_P7985473006766602707_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_373,type,
    set_Pr16608062948090134e_term: list_P1743416141875011707e_term > set_Pr3642885161833720865e_term ).

thf(func_def_374,type,
    set_o2: list_o > set_o ).

thf(func_def_375,type,
    set_assn2: list_assn > set_assn ).

thf(func_def_376,type,
    set_Code_integer2: list_Code_integer > set_Code_integer ).

thf(func_def_377,type,
    set_int2: list_int > set_int ).

thf(func_def_378,type,
    set_nat2: list_nat > set_nat ).

thf(func_def_379,type,
    set_num2: list_num > set_num ).

thf(func_def_380,type,
    set_Pr1633835384712236856nt_int: list_P8915022641806594461nt_int > set_Pr1872883991513573699nt_int ).

thf(func_def_381,type,
    set_Pr2135590979564877377nteger: list_P7828571989066258726nteger > set_Pr1281608226676607948nteger ).

thf(func_def_382,type,
    set_Pr8666615595052072444_nat_o: list_P6107040726529854061_nat_o > set_Pr2161125870931222855_nat_o ).

thf(func_def_383,type,
    set_Pr7458301993993767461et_nat: list_P362550909693114634et_nat > set_Pr8536935166611901872et_nat ).

thf(func_def_384,type,
    set_Pr364071364088684201et_nat: list_P2321686559999237006et_nat > set_Pr3286484037609594932et_nat ).

thf(func_def_385,type,
    set_Pr4943052134776177454nt_int: list_P651320350408439699nt_int > set_Pr9222295170931077689nt_int ).

thf(func_def_386,type,
    set_Pr1139785259514867910n_assn: list_P8527749157015355191n_assn > set_Pr5949110396991348497n_assn ).

thf(func_def_387,type,
    set_Pr920681315882439344nteger: list_P5578671422887162913nteger > set_Pr4811707699266497531nteger ).

thf(func_def_388,type,
    set_Pr3864771053587467565et_nat: list_P9062070895058802706et_nat > set_Pr3948176798113811640et_nat ).

thf(func_def_389,type,
    set_Pr2470121279949933262nt_int: list_P5707943133018811711nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_390,type,
    set_Pr6647972299459129970nt_nat: list_P8198026277950538467nt_nat > set_Pr3448869479623346877nt_nat ).

thf(func_def_391,type,
    set_Pr4510407026980144421n_assn: list_P1495281457390866698n_assn > set_Pr3255386646789011632n_assn ).

thf(func_def_392,type,
    set_Pr525428910217828469at_nat: list_P812186867033400410at_nat > set_Pr6620829329807565824at_nat ).

thf(func_def_393,type,
    set_Pr1470767568048878706at_int: list_P3521021558325789923at_int > set_Pr7995236796853374141at_int ).

thf(func_def_394,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_395,type,
    set_Pr6710958862608470481at_nat: list_P1909269847677398966at_nat > set_Pr7717912310451564380at_nat ).

thf(func_def_396,type,
    set_Pr4163146846833169104_nat_c: list_P2993859830824179253_nat_c > set_Pr4335409928928841947_nat_c ).

thf(func_def_397,type,
    set_Pr8975451644279219196n_assn: list_P28140577958321773n_assn > set_Pr8116311503512020807n_assn ).

thf(func_def_398,type,
    set_Pr3658594827066574855at_int: list_P3463813956764838636at_int > set_Pr49084382684228242at_int ).

thf(func_def_399,type,
    set_Pr7836445846575771563at_nat: list_P5953897101696565392at_nat > set_Pr2539167527615954998at_nat ).

thf(func_def_400,type,
    set_Pr5518436109238095868at_nat: list_P8469869581646625389at_nat > set_Pr8693737435421807431at_nat ).

thf(func_def_401,type,
    set_Pr4552580085251402108at_nat: list_P6548900253507351021at_nat > set_Pr5564308138774400199at_nat ).

thf(func_def_402,type,
    set_Pr3765526544606949372at_nat: list_P5464809261938338413at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_403,type,
    set_Pr8441393049761402630_c_int: list_P3071867362843219819_c_int > set_Pr4413417460947882513_c_int ).

thf(func_def_404,type,
    set_Pr3395872032415823530_c_nat: list_P5561950507774946575_c_nat > set_Pr6903500605879609269_c_nat ).

thf(func_def_405,type,
    set_Product_prod_c_c2: list_P267710562049004973od_c_c > set_Product_prod_c_c ).

thf(func_def_406,type,
    set_Product_prod_c_d2: list_P338744602095350958od_c_d > set_Product_prod_c_d ).

thf(func_def_407,type,
    set_Pr453465341863021319_d_int: list_P8668085978031350508_d_int > set_Pr786264039281237394_d_int ).

thf(func_def_408,type,
    set_Pr4631316361372218027_d_nat: list_P1934797086108301456_d_nat > set_Pr3276347184212964150_d_nat ).

thf(func_def_409,type,
    set_Product_prod_d_c2: list_P8855433598298794092od_d_c > set_Product_prod_d_c ).

thf(func_def_410,type,
    set_Product_prod_d_d2: list_P8926467638345140077od_d_d > set_Product_prod_d_d ).

thf(func_def_411,type,
    set_se5049602875457034614at_nat: list_s1210847774152347623at_nat > set_se7855581050983116737at_nat ).

thf(func_def_412,type,
    set_c2: list_c > set_c ).

thf(func_def_413,type,
    set_d2: list_d > set_d ).

thf(func_def_414,type,
    tl_nat: list_nat > list_nat ).

thf(func_def_415,type,
    list_e4587384546317177617_nat_o: ( ( produc3658429121746597890et_nat > $o ) > $o ) > list_P7985473006766602707_nat_o > $o ).

thf(func_def_416,type,
    list_ex_int: ( int > $o ) > list_int > $o ).

thf(func_def_417,type,
    list_ex_nat: ( nat > $o ) > list_nat > $o ).

thf(func_def_418,type,
    list_e1087220904399170805n_assn: ( produc6575502325842934193n_assn > $o ) > list_P8527749157015355191n_assn > $o ).

thf(func_def_419,type,
    list_e7689525607045846085at_nat: ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > $o ).

thf(func_def_420,type,
    list_e5181628221095382443at_nat: ( produc3843707927480180839at_nat > $o ) > list_P5464809261938338413at_nat > $o ).

thf(func_def_421,type,
    list_ex_c: ( c > $o ) > list_c > $o ).

thf(func_def_422,type,
    list_ex_d: ( d > $o ) > list_d > $o ).

thf(func_def_423,type,
    list_u8946639151299769843e_term: list_i8448526496819171953e_term > nat > ( int > option6357759511663192854e_term ) > list_i8448526496819171953e_term ).

thf(func_def_424,type,
    list_u877304756163299468e_term: list_P1316552470764441098e_term > nat > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > list_P1316552470764441098e_term ).

thf(func_def_425,type,
    list_u6943956310655620667_nat_o: list_P7985473006766602707_nat_o > nat > ( produc3658429121746597890et_nat > $o ) > list_P7985473006766602707_nat_o ).

thf(func_def_426,type,
    list_u3533491785856317309e_term: list_P1743416141875011707e_term > nat > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > list_P1743416141875011707e_term ).

thf(func_def_427,type,
    list_update_o: list_o > nat > $o > list_o ).

thf(func_def_428,type,
    list_update_int: list_int > nat > int > list_int ).

thf(func_def_429,type,
    list_update_nat: list_nat > nat > nat > list_nat ).

thf(func_def_430,type,
    list_u4780935413889332127nt_int: list_P8915022641806594461nt_int > nat > produc7773217078559923341nt_int > list_P8915022641806594461nt_int ).

thf(func_def_431,type,
    list_u234853988314817064nteger: list_P7828571989066258726nteger > nat > produc1908205239877642774nteger > list_P7828571989066258726nteger ).

thf(func_def_432,type,
    list_u1913845194572276492et_nat: list_P362550909693114634et_nat > nat > produc2732055786443039994et_nat > list_P362550909693114634et_nat ).

thf(func_def_433,type,
    list_u1866171116859985808et_nat: list_P2321686559999237006et_nat > nat > produc3925858234332021118et_nat > list_P2321686559999237006et_nat ).

thf(func_def_434,type,
    list_u7736365598306452245nt_int: list_P651320350408439699nt_int > nat > produc2285326912895808259nt_int > list_P651320350408439699nt_int ).

thf(func_def_435,type,
    list_u4534839942911652127n_assn: list_P8527749157015355191n_assn > nat > produc6575502325842934193n_assn > list_P8527749157015355191n_assn ).

thf(func_def_436,type,
    list_u2254550707601501961nteger: list_P5578671422887162913nteger > nat > produc8923325533196201883nteger > list_P5578671422887162913nteger ).

thf(func_def_437,type,
    list_u9060326803697358356et_nat: list_P9062070895058802706et_nat > nat > produc3658429121746597890et_nat > list_P9062070895058802706et_nat ).

thf(func_def_438,type,
    list_u3002344382305578791nt_int: list_P5707943133018811711nt_int > nat > product_prod_int_int > list_P5707943133018811711nt_int ).

thf(func_def_439,type,
    list_u6180841689913720943at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).

thf(func_def_440,type,
    list_u4696772448584712917at_nat: list_P5464809261938338413at_nat > nat > produc3843707927480180839at_nat > list_P5464809261938338413at_nat ).

thf(func_def_441,type,
    list_u8616212504517173525od_c_c: list_P267710562049004973od_c_c > nat > product_prod_c_c > list_P267710562049004973od_c_c ).

thf(func_def_442,type,
    list_u8616212508820402326od_c_d: list_P338744602095350958od_c_d > nat > product_prod_c_d > list_P338744602095350958od_c_d ).

thf(func_def_443,type,
    list_u5828756922544497492od_d_c: list_P8855433598298794092od_d_c > nat > product_prod_d_c > list_P8855433598298794092od_d_c ).

thf(func_def_444,type,
    list_u5828756926847726293od_d_d: list_P8926467638345140077od_d_d > nat > product_prod_d_d > list_P8926467638345140077od_d_d ).

thf(func_def_445,type,
    list_u8444657558853818831at_nat: list_s1210847774152347623at_nat > nat > set_Pr1261947904930325089at_nat > list_s1210847774152347623at_nat ).

thf(func_def_446,type,
    list_update_c: list_c > nat > c > list_c ).

thf(func_def_447,type,
    list_update_d: list_d > nat > d > list_d ).

thf(func_def_448,type,
    listrel1_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).

thf(func_def_449,type,
    listrel1_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).

thf(func_def_450,type,
    listre4270255209692100112n_assn: set_Pr8116311503512020807n_assn > set_Pr6863447823992824007n_assn ).

thf(func_def_451,type,
    listre8180072825634266816at_nat: set_Pr4329608150637261639at_nat > set_Pr4333006031979791559at_nat ).

thf(func_def_452,type,
    listrel1_c: set_Product_prod_c_c > set_Pr2058341694840537735list_c ).

thf(func_def_453,type,
    listrel1_d: set_Product_prod_d_d > set_Pr5674772971416283335list_d ).

thf(func_def_454,type,
    listrel_int_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).

thf(func_def_455,type,
    listrel_int_nat: set_Pr3448869479623346877nt_nat > set_Pr5578615432719617117st_nat ).

thf(func_def_456,type,
    listre4888949683985722578n_assn: set_Pr3255386646789011632n_assn > set_Pr4168565316758867366n_assn ).

thf(func_def_457,type,
    listrel_nat_int: set_Pr7995236796853374141at_int > set_Pr7861072320784411741st_int ).

thf(func_def_458,type,
    listrel_nat_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).

thf(func_def_459,type,
    listre3128913020232611374n_assn: set_Pr247834672394327052n_assn > set_Pr7093487733527993602n_assn ).

thf(func_def_460,type,
    listrel_nat_c: set_Pr4335409928928841947_nat_c > set_Pr2380792130361903057list_c ).

thf(func_def_461,type,
    listrel_nat_d: set_Pr4406443968975187932_nat_d > set_Pr9082979648927643218list_d ).

thf(func_def_462,type,
    listre8029020076619294380sn_int: set_Pr2181989527757714242sn_int > set_Pr4898238009683259096st_int ).

thf(func_def_463,type,
    listre8031510547128344656sn_nat: set_Pr4672072672689440998sn_nat > set_Pr488414391616402044st_nat ).

thf(func_def_464,type,
    listre5253995379918703921n_assn: set_Pr8116311503512020807n_assn > set_Pr6863447823992824007n_assn ).

thf(func_def_465,type,
    listre2047417242196832561at_nat: set_Pr4329608150637261639at_nat > set_Pr4333006031979791559at_nat ).

thf(func_def_466,type,
    listrel_c_int: set_Pr4413417460947882513_c_int > set_Pr1946635486513090599st_int ).

thf(func_def_467,type,
    listrel_c_nat: set_Pr6903500605879609269_c_nat > set_Pr6760183905301009355st_nat ).

thf(func_def_468,type,
    listrel_c_c: set_Product_prod_c_c > set_Pr2058341694840537735list_c ).

thf(func_def_469,type,
    listrel_c_d: set_Product_prod_c_d > set_Pr8760529213406277896list_d ).

thf(func_def_470,type,
    listrel_d_int: set_Pr786264039281237394_d_int > set_Pr7415257249380972200st_int ).

thf(func_def_471,type,
    listrel_d_nat: set_Pr3276347184212964150_d_nat > set_Pr3005433631314115148st_nat ).

thf(func_def_472,type,
    listrel_d_c: set_Product_prod_d_c > set_Pr8195957489705318982list_c ).

thf(func_def_473,type,
    listrel_d_d: set_Product_prod_d_d > set_Pr5674772971416283335list_d ).

thf(func_def_474,type,
    measures_nat: list_nat_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_475,type,
    measur2694323259624372065at_nat: list_s9130966667114977576at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_476,type,
    nth_Pr6840583978799713108_nat_o: list_P7985473006766602707_nat_o > nat > produc3658429121746597890et_nat > $o ).

thf(func_def_477,type,
    nth_o: list_o > nat > $o ).

thf(func_def_478,type,
    nth_Code_integer: list_Code_integer > nat > code_integer ).

thf(func_def_479,type,
    nth_int: list_int > nat > int ).

thf(func_def_480,type,
    nth_nat: list_nat > nat > nat ).

thf(func_def_481,type,
    nth_num: list_num > nat > num ).

thf(func_def_482,type,
    nth_Pr1769885009046257848n_assn: list_P8527749157015355191n_assn > nat > produc6575502325842934193n_assn ).

thf(func_def_483,type,
    nth_Pr3440142176431000676at_int: list_P3521021558325789923at_int > nat > product_prod_nat_int ).

thf(func_def_484,type,
    nth_Pr7617993195940197384at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat ).

thf(func_def_485,type,
    nth_Pr2476257089995772766_nat_c: list_P2993859830824179253_nat_c > nat > product_prod_nat_c ).

thf(func_def_486,type,
    nth_Pr2476257094299001567_nat_d: list_P3064893870870525238_nat_d > nat > product_prod_nat_d ).

thf(func_def_487,type,
    nth_Pr1239524528086697198at_nat: list_P5464809261938338413at_nat > nat > produc3843707927480180839at_nat ).

thf(func_def_488,type,
    nth_Pr6754503292924006292_c_int: list_P3071867362843219819_c_int > nat > product_prod_c_int ).

thf(func_def_489,type,
    nth_Pr1708982275578427192_c_nat: list_P5561950507774946575_c_nat > nat > product_prod_c_nat ).

thf(func_def_490,type,
    nth_Product_prod_c_c: list_P267710562049004973od_c_c > nat > product_prod_c_c ).

thf(func_def_491,type,
    nth_Product_prod_c_d: list_P338744602095350958od_c_d > nat > product_prod_c_d ).

thf(func_def_492,type,
    nth_Pr7989947621880400789_d_int: list_P8668085978031350508_d_int > nat > product_prod_d_int ).

thf(func_def_493,type,
    nth_Pr2944426604534821689_d_nat: list_P1934797086108301456_d_nat > nat > product_prod_d_nat ).

thf(func_def_494,type,
    nth_Product_prod_d_c: list_P8855433598298794092od_d_c > nat > product_prod_d_c ).

thf(func_def_495,type,
    nth_Product_prod_d_d: list_P8926467638345140077od_d_d > nat > product_prod_d_d ).

thf(func_def_496,type,
    nth_se5679702624988424552at_nat: list_s1210847774152347623at_nat > nat > set_Pr1261947904930325089at_nat ).

thf(func_def_497,type,
    nth_c: list_c > nat > c ).

thf(func_def_498,type,
    nth_d: list_d > nat > d ).

thf(func_def_499,type,
    null_int: list_int > $o ).

thf(func_def_500,type,
    null_nat: list_nat > $o ).

thf(func_def_501,type,
    null_P7596217980778516671n_assn: list_P8527749157015355191n_assn > $o ).

thf(func_def_502,type,
    product_assn_assn: list_assn > list_assn > list_P8527749157015355191n_assn ).

thf(func_def_503,type,
    product_int_int: list_int > list_int > list_P5707943133018811711nt_int ).

thf(func_def_504,type,
    product_int_nat: list_int > list_nat > list_P8198026277950538467nt_nat ).

thf(func_def_505,type,
    product_nat_int: list_nat > list_int > list_P3521021558325789923at_int ).

thf(func_def_506,type,
    product_nat_nat: list_nat > list_nat > list_P6011104703257516679at_nat ).

thf(func_def_507,type,
    product_nat_c: list_nat > list_c > list_P2993859830824179253_nat_c ).

thf(func_def_508,type,
    product_nat_d: list_nat > list_d > list_P3064893870870525238_nat_d ).

thf(func_def_509,type,
    product_c_int: list_c > list_int > list_P3071867362843219819_c_int ).

thf(func_def_510,type,
    product_c_nat: list_c > list_nat > list_P5561950507774946575_c_nat ).

thf(func_def_511,type,
    product_c_c: list_c > list_c > list_P267710562049004973od_c_c ).

thf(func_def_512,type,
    product_c_d: list_c > list_d > list_P338744602095350958od_c_d ).

thf(func_def_513,type,
    product_d_int: list_d > list_int > list_P8668085978031350508_d_int ).

thf(func_def_514,type,
    product_d_nat: list_d > list_nat > list_P1934797086108301456_d_nat ).

thf(func_def_515,type,
    product_d_c: list_d > list_c > list_P8855433598298794092od_d_c ).

thf(func_def_516,type,
    product_d_d: list_d > list_d > list_P8926467638345140077od_d_d ).

thf(func_def_517,type,
    remdups_nat: list_nat > list_nat ).

thf(func_def_518,type,
    remove4235003712227595625_nat_o: ( produc3658429121746597890et_nat > $o ) > list_P7985473006766602707_nat_o > list_P7985473006766602707_nat_o ).

thf(func_def_519,type,
    remove1_o: $o > list_o > list_o ).

thf(func_def_520,type,
    remove1_int: int > list_int > list_int ).

thf(func_def_521,type,
    remove1_nat: nat > list_nat > list_nat ).

thf(func_def_522,type,
    remove1670527618125605709n_assn: produc6575502325842934193n_assn > list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

thf(func_def_523,type,
    remove5766854097993331357at_nat: product_prod_nat_nat > list_P6011104703257516679at_nat > list_P6011104703257516679at_nat ).

thf(func_def_524,type,
    remove8895909992688781315at_nat: produc3843707927480180839at_nat > list_P5464809261938338413at_nat > list_P5464809261938338413at_nat ).

thf(func_def_525,type,
    remove1_c: c > list_c > list_c ).

thf(func_def_526,type,
    remove1_d: d > list_d > list_d ).

thf(func_def_527,type,
    remove7604696131425036249_nat_o: ( produc3658429121746597890et_nat > $o ) > list_P7985473006766602707_nat_o > list_P7985473006766602707_nat_o ).

thf(func_def_528,type,
    removeAll_o: $o > list_o > list_o ).

thf(func_def_529,type,
    removeAll_int: int > list_int > list_int ).

thf(func_def_530,type,
    removeAll_nat: nat > list_nat > list_nat ).

thf(func_def_531,type,
    remove1763081955827946941n_assn: produc6575502325842934193n_assn > list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

thf(func_def_532,type,
    remove3673390508374433037at_nat: product_prod_nat_nat > list_P6011104703257516679at_nat > list_P6011104703257516679at_nat ).

thf(func_def_533,type,
    remove4908499291543849587at_nat: produc3843707927480180839at_nat > list_P5464809261938338413at_nat > list_P5464809261938338413at_nat ).

thf(func_def_534,type,
    removeAll_c: c > list_c > list_c ).

thf(func_def_535,type,
    removeAll_d: d > list_d > list_d ).

thf(func_def_536,type,
    rev_int: list_int > list_int ).

thf(func_def_537,type,
    rev_nat: list_nat > list_nat ).

thf(func_def_538,type,
    rev_Pr4855572775806611735n_assn: list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

thf(func_def_539,type,
    rev_Pr4566615052912869567_nat_c: list_P2993859830824179253_nat_c > list_P2993859830824179253_nat_c ).

thf(func_def_540,type,
    rev_Pr4566615057216098368_nat_d: list_P3064893870870525238_nat_d > list_P3064893870870525238_nat_d ).

thf(func_def_541,type,
    rev_Pr8844861255841103093_c_int: list_P3071867362843219819_c_int > list_P3071867362843219819_c_int ).

thf(func_def_542,type,
    rev_Pr3799340238495523993_c_nat: list_P5561950507774946575_c_nat > list_P5561950507774946575_c_nat ).

thf(func_def_543,type,
    rev_Product_prod_c_c: list_P267710562049004973od_c_c > list_P267710562049004973od_c_c ).

thf(func_def_544,type,
    rev_Product_prod_c_d: list_P338744602095350958od_c_d > list_P338744602095350958od_c_d ).

thf(func_def_545,type,
    rev_Pr856933547942721782_d_int: list_P8668085978031350508_d_int > list_P8668085978031350508_d_int ).

thf(func_def_546,type,
    rev_Pr5034784567451918490_d_nat: list_P1934797086108301456_d_nat > list_P1934797086108301456_d_nat ).

thf(func_def_547,type,
    rev_Product_prod_d_c: list_P8855433598298794092od_d_c > list_P8855433598298794092od_d_c ).

thf(func_def_548,type,
    rev_Product_prod_d_d: list_P8926467638345140077od_d_d > list_P8926467638345140077od_d_d ).

thf(func_def_549,type,
    rev_c: list_c > list_c ).

thf(func_def_550,type,
    rev_d: list_d > list_d ).

thf(func_def_551,type,
    rotate1_int: list_int > list_int ).

thf(func_def_552,type,
    rotate1_nat: list_nat > list_nat ).

thf(func_def_553,type,
    rotate328796349445179396n_assn: list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

thf(func_def_554,type,
    rotate1_c: list_c > list_c ).

thf(func_def_555,type,
    rotate1_d: list_d > list_d ).

thf(func_def_556,type,
    sorted9199660237762088378_nat_o: ( ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ) > list_P7985473006766602707_nat_o > $o ).

thf(func_def_557,type,
    sorted710888440204495920nteger: ( code_integer > code_integer > $o ) > list_Code_integer > $o ).

thf(func_def_558,type,
    sorted_wrt_int: ( int > int > $o ) > list_int > $o ).

thf(func_def_559,type,
    sorted_wrt_nat: ( nat > nat > $o ) > list_nat > $o ).

thf(func_def_560,type,
    sorted_wrt_num: ( num > num > $o ) > list_num > $o ).

thf(func_def_561,type,
    sorted3986126766855596574n_assn: ( produc6575502325842934193n_assn > produc6575502325842934193n_assn > $o ) > list_P8527749157015355191n_assn > $o ).

thf(func_def_562,type,
    sorted5214655850825725294at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > $o ).

thf(func_def_563,type,
    sorted8831241538929206612at_nat: ( produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o ) > list_P5464809261938338413at_nat > $o ).

thf(func_def_564,type,
    sorted_wrt_c: ( c > c > $o ) > list_c > $o ).

thf(func_def_565,type,
    sorted_wrt_d: ( d > d > $o ) > list_d > $o ).

thf(func_def_566,type,
    take_nat: nat > list_nat > list_nat ).

thf(func_def_567,type,
    union_int: list_int > list_int > list_int ).

thf(func_def_568,type,
    union_nat: list_nat > list_nat > list_nat ).

thf(func_def_569,type,
    union_944050417204428971n_assn: list_P8527749157015355191n_assn > list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

thf(func_def_570,type,
    union_4462254032241401953at_nat: list_P5464809261938338413at_nat > list_P5464809261938338413at_nat > list_P5464809261938338413at_nat ).

thf(func_def_571,type,
    upt: nat > nat > list_nat ).

thf(func_def_572,type,
    upto: int > int > list_int ).

thf(func_def_573,type,
    upto_aux: int > int > list_int > list_int ).

thf(func_def_574,type,
    upto_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_575,type,
    zip_in8766932505889695135nt_int: list_i8448526496819171953e_term > list_P5707943133018811711nt_int > list_P8915022641806594461nt_int ).

thf(func_def_576,type,
    zip_Pr8292346330294042792nteger: list_P1316552470764441098e_term > list_P5578671422887162913nteger > list_P7828571989066258726nteger ).

thf(func_def_577,type,
    zip_Pr2849639184604596727_nat_o: list_P7985473006766602707_nat_o > list_P7985473006766602707_nat_o > list_P6107040726529854061_nat_o ).

thf(func_def_578,type,
    zip_Pr8136144321567152340et_nat: list_P7985473006766602707_nat_o > list_P2321686559999237006et_nat > list_P362550909693114634et_nat ).

thf(func_def_579,type,
    zip_Pr7134870689397686104et_nat: list_P7985473006766602707_nat_o > list_P9062070895058802706et_nat > list_P2321686559999237006et_nat ).

thf(func_def_580,type,
    zip_Pr4168994715204986005nt_int: list_P1743416141875011707e_term > list_P5707943133018811711nt_int > list_P651320350408439699nt_int ).

thf(func_def_581,type,
    zip_assn_assn: list_assn > list_assn > list_P8527749157015355191n_assn ).

thf(func_def_582,type,
    zip_int_int: list_int > list_int > list_P5707943133018811711nt_int ).

thf(func_def_583,type,
    zip_int_nat: list_int > list_nat > list_P8198026277950538467nt_nat ).

thf(func_def_584,type,
    zip_in7098856637274830732n_assn: list_int > list_P8527749157015355191n_assn > list_P1495281457390866698n_assn ).

thf(func_def_585,type,
    zip_in4043968058504772316at_nat: list_int > list_P6011104703257516679at_nat > list_P812186867033400410at_nat ).

thf(func_def_586,type,
    zip_nat_int: list_nat > list_int > list_P3521021558325789923at_int ).

thf(func_def_587,type,
    zip_nat_nat: list_nat > list_nat > list_P6011104703257516679at_nat ).

thf(func_def_588,type,
    zip_na5338819973521719528n_assn: list_nat > list_P8527749157015355191n_assn > list_P7711101519850957926n_assn ).

thf(func_def_589,type,
    zip_na1006125974040638520at_nat: list_nat > list_P6011104703257516679at_nat > list_P1909269847677398966at_nat ).

thf(func_def_590,type,
    zip_nat_c: list_nat > list_c > list_P2993859830824179253_nat_c ).

thf(func_def_591,type,
    zip_nat_d: list_nat > list_d > list_P3064893870870525238_nat_d ).

thf(func_def_592,type,
    zip_Pr1015554993053626726sn_int: list_P8527749157015355191n_assn > list_int > list_P421884338359569308sn_int ).

thf(func_def_593,type,
    zip_Pr1018045463562677002sn_nat: list_P8527749157015355191n_assn > list_nat > list_P2911967483291296064sn_nat ).

thf(func_def_594,type,
    zip_Pr8806919808394484215n_assn: list_P8527749157015355191n_assn > list_P8527749157015355191n_assn > list_P28140577958321773n_assn ).

thf(func_def_595,type,
    zip_Pr6866960147343648950at_int: list_P6011104703257516679at_nat > list_int > list_P3463813956764838636at_int ).

thf(func_def_596,type,
    zip_Pr6869450617852699226at_nat: list_P6011104703257516679at_nat > list_nat > list_P5953897101696565392at_nat ).

thf(func_def_597,type,
    zip_Pr4664179122662387191at_nat: list_P6011104703257516679at_nat > list_P6011104703257516679at_nat > list_P8469869581646625389at_nat ).

thf(func_def_598,type,
    zip_Pr2522280425463452279at_nat: list_P5464809261938338413at_nat > list_P5464809261938338413at_nat > list_P6548900253507351021at_nat ).

thf(func_def_599,type,
    zip_se5600341670672612855at_nat: list_s1210847774152347623at_nat > list_s1210847774152347623at_nat > list_P5464809261938338413at_nat ).

thf(func_def_600,type,
    zip_c_int: list_c > list_int > list_P3071867362843219819_c_int ).

thf(func_def_601,type,
    zip_c_nat: list_c > list_nat > list_P5561950507774946575_c_nat ).

thf(func_def_602,type,
    zip_c_c: list_c > list_c > list_P267710562049004973od_c_c ).

thf(func_def_603,type,
    zip_c_d: list_c > list_d > list_P338744602095350958od_c_d ).

thf(func_def_604,type,
    zip_d_int: list_d > list_int > list_P8668085978031350508_d_int ).

thf(func_def_605,type,
    zip_d_nat: list_d > list_nat > list_P1934797086108301456_d_nat ).

thf(func_def_606,type,
    zip_d_c: list_d > list_c > list_P8855433598298794092od_d_c ).

thf(func_def_607,type,
    zip_d_d: list_d > list_d > list_P8926467638345140077od_d_d ).

thf(func_def_608,type,
    biject576505603616484041nt_int: set_Pr1872883991513573699nt_int > $o ).

thf(func_def_609,type,
    biject9051520373387432658nteger: set_Pr1281608226676607948nteger > $o ).

thf(func_def_610,type,
    biject1468766312547416318et_nat: set_Pr8536935166611901872et_nat > $o ).

thf(func_def_611,type,
    biject2615096655818420098et_nat: set_Pr3286484037609594932et_nat > $o ).

thf(func_def_612,type,
    biject383251550997737151nt_int: set_Pr9222295170931077689nt_int > $o ).

thf(func_def_613,type,
    bijective_nat_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_614,type,
    biject3388518990857851981at_nat: set_Pr4329608150637261639at_nat > $o ).

thf(func_def_615,type,
    merge_Code_integer: list_Code_integer > list_Code_integer > list_Code_integer ).

thf(func_def_616,type,
    merge_int: list_int > list_int > list_int ).

thf(func_def_617,type,
    merge_nat: list_nat > list_nat > list_nat ).

thf(func_def_618,type,
    merge_num: list_num > list_num > list_num ).

thf(func_def_619,type,
    merges1654122896337280797ps_int: list_int > list_int ).

thf(func_def_620,type,
    merges1656613366846331073ps_nat: list_nat > list_nat ).

thf(func_def_621,type,
    slice_int: nat > nat > list_int > list_int ).

thf(func_def_622,type,
    slice_nat: nat > nat > list_nat > list_nat ).

thf(func_def_623,type,
    slice_7964966981652229398n_assn: nat > nat > list_P8527749157015355191n_assn > list_P8527749157015355191n_assn ).

thf(func_def_624,type,
    slice_c: nat > nat > list_c > list_c ).

thf(func_def_625,type,
    slice_d: nat > nat > list_d > list_d ).

thf(func_def_626,type,
    zipf_int_int_int: ( int > int > int ) > list_int > list_int > list_int ).

thf(func_def_627,type,
    zipf_int_int_nat: ( int > int > nat ) > list_int > list_int > list_nat ).

thf(func_def_628,type,
    zipf_i7756021159461276697n_assn: ( int > int > produc6575502325842934193n_assn ) > list_int > list_int > list_P8527749157015355191n_assn ).

thf(func_def_629,type,
    zipf_int_nat_int: ( int > nat > int ) > list_int > list_nat > list_int ).

thf(func_def_630,type,
    zipf_int_nat_nat: ( int > nat > nat ) > list_int > list_nat > list_nat ).

thf(func_def_631,type,
    zipf_i5995984495708165493n_assn: ( int > nat > produc6575502325842934193n_assn ) > list_int > list_nat > list_P8527749157015355191n_assn ).

thf(func_def_632,type,
    zipf_nat_int_int: ( nat > int > int ) > list_nat > list_int > list_int ).

thf(func_def_633,type,
    zipf_nat_int_nat: ( nat > int > nat ) > list_nat > list_int > list_nat ).

thf(func_def_634,type,
    zipf_nat_nat_int: ( nat > nat > int ) > list_nat > list_nat > list_int ).

thf(func_def_635,type,
    zipf_nat_nat_nat: ( nat > nat > nat ) > list_nat > list_nat > list_nat ).

thf(func_def_636,type,
    zipf_n5773672615478942615_nat_c: ( nat > c > product_prod_nat_c ) > list_nat > list_c > list_P2993859830824179253_nat_c ).

thf(func_def_637,type,
    zipf_n3657244561791696409_nat_d: ( nat > d > product_prod_nat_d ) > list_nat > list_d > list_P3064893870870525238_nat_d ).

thf(func_def_638,type,
    zipf_c230841880303976139_c_int: ( c > int > product_prod_c_int ) > list_c > list_int > list_P3071867362843219819_c_int ).

thf(func_def_639,type,
    zipf_c7084520048314076179_c_nat: ( c > nat > product_prod_c_nat ) > list_c > list_nat > list_P5561950507774946575_c_nat ).

thf(func_def_640,type,
    zipf_c684006316856269033od_c_c: ( c > c > product_prod_c_c ) > list_c > list_c > list_P267710562049004973od_c_c ).

thf(func_def_641,type,
    zipf_c44566020827681705od_c_d: ( c > d > product_prod_c_d ) > list_c > list_d > list_P338744602095350958od_c_d ).

thf(func_def_642,type,
    zipf_d997717096299170253_d_int: ( d > int > product_prod_d_int ) > list_d > list_int > list_P8668085978031350508_d_int ).

thf(func_def_643,type,
    zipf_d7851395264309270293_d_nat: ( d > nat > product_prod_d_nat ) > list_d > list_nat > list_P1934797086108301456_d_nat ).

thf(func_def_644,type,
    zipf_d1836499321508429225od_d_c: ( d > c > product_prod_d_c ) > list_d > list_c > list_P8855433598298794092od_d_c ).

thf(func_def_645,type,
    zipf_d1197059025479841897od_d_d: ( d > d > product_prod_d_d ) > list_d > list_d > list_P8926467638345140077od_d_d ).

thf(func_def_646,type,
    add_ms2612439473150266591at_nat: product_prod_nat_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_647,type,
    ms_strict: set_Pr8551490117392284871at_nat ).

thf(func_def_648,type,
    ms_weak: set_Pr8551490117392284871at_nat ).

thf(func_def_649,type,
    pw_leq: multis2468970476368604999at_nat > multis2468970476368604999at_nat > $o ).

thf(func_def_650,type,
    set_ms8126754132646256062at_nat: multis2468970476368604999at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_651,type,
    suc: nat > nat ).

thf(func_def_652,type,
    semiri4939895301339042750nteger: nat > code_integer ).

thf(func_def_653,type,
    semiri1314217659103216013at_int: nat > int ).

thf(func_def_654,type,
    size_s8908918004648414271_nat_o: list_P7985473006766602707_nat_o > nat ).

thf(func_def_655,type,
    size_size_list_o: list_o > nat ).

thf(func_def_656,type,
    size_size_list_assn: list_assn > nat ).

thf(func_def_657,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

thf(func_def_658,type,
    size_size_list_int: list_int > nat ).

thf(func_def_659,type,
    size_size_list_nat: list_nat > nat ).

thf(func_def_660,type,
    size_size_list_num: list_num > nat ).

thf(func_def_661,type,
    size_s6829681357464350627n_assn: list_P8527749157015355191n_assn > nat ).

thf(func_def_662,type,
    size_s2970893825323803983at_int: list_P3521021558325789923at_int > nat ).

thf(func_def_663,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

thf(func_def_664,type,
    size_s385972143775086793_nat_c: list_P2993859830824179253_nat_c > nat ).

thf(func_def_665,type,
    size_s457006183821432778_nat_d: list_P3064893870870525238_nat_d > nat ).

thf(func_def_666,type,
    size_s1588839187904960729at_nat: list_P5464809261938338413at_nat > nat ).

thf(func_def_667,type,
    size_s463979675794127359_c_int: list_P3071867362843219819_c_int > nat ).

thf(func_def_668,type,
    size_s2954062820725854115_c_nat: list_P5561950507774946575_c_nat > nat ).

thf(func_def_669,type,
    size_s2756448709718749209od_c_c: list_P267710562049004973od_c_c > nat ).

thf(func_def_670,type,
    size_s2827482749765095194od_c_d: list_P338744602095350958od_c_d > nat ).

thf(func_def_671,type,
    size_s6060198290982258048_d_int: list_P8668085978031350508_d_int > nat ).

thf(func_def_672,type,
    size_s8550281435913984804_d_nat: list_P1934797086108301456_d_nat > nat ).

thf(func_def_673,type,
    size_s2120799709113762520od_d_c: list_P8855433598298794092od_d_c > nat ).

thf(func_def_674,type,
    size_s2191833749160108505od_d_d: list_P8926467638345140077od_d_d > nat ).

thf(func_def_675,type,
    size_s8736152011456118867at_nat: list_s1210847774152347623at_nat > nat ).

thf(func_def_676,type,
    size_size_list_c: list_c > nat ).

thf(func_def_677,type,
    size_size_list_d: list_d > nat ).

thf(func_def_678,type,
    size_s8510653225128441779at_nat: multis2468970476368604999at_nat > nat ).

thf(func_def_679,type,
    nat_list_encode: list_nat > nat ).

thf(func_def_680,type,
    nat_list_encode_rel: list_nat > list_nat > $o ).

thf(func_def_681,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(func_def_682,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_683,type,
    nat_prod_encode: product_prod_nat_nat > nat ).

thf(func_def_684,type,
    nat_set_decode: nat > set_nat ).

thf(func_def_685,type,
    nat_set_encode: set_nat > nat ).

thf(func_def_686,type,
    bitM: num > num ).

thf(func_def_687,type,
    inc: num > num ).

thf(func_def_688,type,
    nat_of_num: num > nat ).

thf(func_def_689,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

thf(func_def_690,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(func_def_691,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

thf(func_def_692,type,
    bit0: num > num ).

thf(func_def_693,type,
    bit1: num > num ).

thf(func_def_694,type,
    one: num ).

thf(func_def_695,type,
    num_of_nat: nat > num ).

thf(func_def_696,type,
    numera6620942414471956472nteger: num > code_integer ).

thf(func_def_697,type,
    numera5444537566228673987atural: num > code_natural ).

thf(func_def_698,type,
    numeral_numeral_int: num > int ).

thf(func_def_699,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_700,type,
    numeral_numeral_rat: num > rat ).

thf(func_def_701,type,
    pred_numeral: num > nat ).

thf(func_def_702,type,
    none_P9117596204409417319it_nat: option8956607266484857688it_nat ).

thf(func_def_703,type,
    some_P1914260805536162275it_nat: produc8664842809031399944it_nat > option8956607266484857688it_nat ).

thf(func_def_704,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).

thf(func_def_705,type,
    order_2888998067076097458on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_706,type,
    bot_bo7963750851167320836at_o_o: ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_707,type,
    bot_bot_o_o: $o > $o ).

thf(func_def_708,type,
    bot_bot_int_o: int > $o ).

thf(func_def_709,type,
    bot_bot_nat_o: nat > $o ).

thf(func_def_710,type,
    bot_bo482883023278783056_nat_o: product_prod_nat_nat > $o ).

thf(func_def_711,type,
    bot_bo6829958733157050602_nat_o: produc3843707927480180839at_nat > $o ).

thf(func_def_712,type,
    bot_bot_assn: assn ).

thf(func_def_713,type,
    bot_bot_filter_nat: filter_nat ).

thf(func_def_714,type,
    bot_bot_nat: nat ).

thf(func_def_715,type,
    bot_bo7824918357723582233_nat_o: set_Pr4532377907799695533_nat_o ).

thf(func_def_716,type,
    bot_bot_set_o: set_o ).

thf(func_def_717,type,
    bot_bot_set_int: set_int ).

thf(func_def_718,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_719,type,
    bot_bo7073875226086086771od_o_o: set_Product_prod_o_o ).

thf(func_def_720,type,
    bot_bo1176836662018730877n_assn: set_Pr5949110396991348497n_assn ).

thf(func_def_721,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

thf(func_def_722,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_723,type,
    bot_bo5327735625951526323at_nat: set_Pr8693737435421807431at_nat ).

thf(func_def_724,type,
    bot_bo7193250159860175667at_nat: set_Pr5564308138774400199at_nat ).

thf(func_def_725,type,
    bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).

thf(func_def_726,type,
    bot_bo3083307316010499117at_nat: set_se7855581050983116737at_nat ).

thf(func_def_727,type,
    bot_bot_set_c: set_c ).

thf(func_def_728,type,
    bot_bot_set_d: set_d ).

thf(func_def_729,type,
    ord_less_assn: assn > assn > $o ).

thf(func_def_730,type,
    ord_le6747313008572928689nteger: code_integer > code_integer > $o ).

thf(func_def_731,type,
    ord_le5570908160329646204atural: code_natural > code_natural > $o ).

thf(func_def_732,type,
    ord_less_filter_nat: filter_nat > filter_nat > $o ).

thf(func_def_733,type,
    ord_less_int: int > int > $o ).

thf(func_def_734,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_735,type,
    ord_less_num: num > num > $o ).

thf(func_def_736,type,
    ord_less_rat: rat > rat > $o ).

thf(func_def_737,type,
    ord_le2453136405763929_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_738,type,
    ord_less_set_o: set_o > set_o > $o ).

thf(func_def_739,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(func_def_740,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_741,type,
    ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_742,type,
    ord_le2604355607129572851at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_743,type,
    ord_less_eq_assn: assn > assn > $o ).

thf(func_def_744,type,
    ord_le3102999989581377725nteger: code_integer > code_integer > $o ).

thf(func_def_745,type,
    ord_le1926595141338095240atural: code_natural > code_natural > $o ).

thf(func_def_746,type,
    ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).

thf(func_def_747,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_748,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_749,type,
    ord_less_eq_num: num > num > $o ).

thf(func_def_750,type,
    ord_less_eq_rat: rat > rat > $o ).

thf(func_def_751,type,
    ord_le2965882846123202637_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_752,type,
    ord_less_eq_set_o: set_o > set_o > $o ).

thf(func_def_753,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(func_def_754,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_755,type,
    ord_le135402666524580259nt_int: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > $o ).

thf(func_def_756,type,
    ord_le653643898420964396nteger: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > $o ).

thf(func_def_757,type,
    ord_le4763372923235995152et_nat: set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat > $o ).

thf(func_def_758,type,
    ord_le5966269811547037844et_nat: set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat > $o ).

thf(func_def_759,type,
    ord_le8725513860283290265nt_int: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > $o ).

thf(func_def_760,type,
    ord_le192195778054999463od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > $o ).

thf(func_def_761,type,
    ord_le171416862856029873n_assn: set_Pr5949110396991348497n_assn > set_Pr5949110396991348497n_assn > $o ).

thf(func_def_762,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_763,type,
    ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_764,type,
    ord_less_eq_set_c: set_c > set_c > $o ).

thf(func_def_765,type,
    ord_less_eq_set_d: set_d > set_d > $o ).

thf(func_def_766,type,
    ord_max_nat: nat > nat > nat ).

thf(func_def_767,type,
    ord_min_assn: assn > assn > assn ).

thf(func_def_768,type,
    ord_min_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_769,type,
    ord_min_filter_nat: filter_nat > filter_nat > filter_nat ).

thf(func_def_770,type,
    ord_min_int: int > int > int ).

thf(func_def_771,type,
    ord_min_nat: nat > nat > nat ).

thf(func_def_772,type,
    ord_min_num: num > num > num ).

thf(func_def_773,type,
    ord_min_rat: rat > rat > rat ).

thf(func_def_774,type,
    ord_min_set_o: set_o > set_o > set_o ).

thf(func_def_775,type,
    ord_min_set_int: set_int > set_int > set_int ).

thf(func_def_776,type,
    ord_min_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_777,type,
    ord_mi4194197829855655752at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_778,type,
    ord_mi6693596345299712430at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_779,type,
    order_mono_nat_nat: ( nat > nat ) > $o ).

thf(func_def_780,type,
    ordering_top_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > $o ).

thf(func_def_781,type,
    top_top_assn: assn ).

thf(func_def_782,type,
    top_top_set_o: set_o ).

thf(func_def_783,type,
    top_top_set_nat: set_nat ).

thf(func_def_784,type,
    power_power_assn: assn > nat > assn ).

thf(func_def_785,type,
    power_8256067586552552935nteger: code_integer > nat > code_integer ).

thf(func_def_786,type,
    power_power_int: int > nat > int ).

thf(func_def_787,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_788,type,
    power_power_rat: rat > nat > rat ).

thf(func_def_789,type,
    produc6137756002093451184nteger: ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ).

thf(func_def_790,type,
    produc2252593628808123835atural: ( code_natural > option6357759511663192854e_term ) > produc7822875418678951345atural > produc8731074985263844745atural ).

thf(func_def_791,type,
    produc8618682346314911123st_int: ( int > int > $o ) > list_int > produc5834231552977413017st_int ).

thf(func_def_792,type,
    produc4305682042979456191nt_int: ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ).

thf(func_def_793,type,
    produc4727192421694094319st_nat: ( nat > nat > $o ) > list_nat > produc254973753779126261st_nat ).

thf(func_def_794,type,
    produc6115016301897879072n_assn: ( produc6575502325842934193n_assn > produc6575502325842934193n_assn > $o ) > list_P8527749157015355191n_assn > produc4530688714081574576n_assn ).

thf(func_def_795,type,
    produc8603105652947943368nteger: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ).

thf(func_def_796,type,
    produc3831813291587773865atural: ( produc4972180933644002618e_term > option6357759511663192854e_term ) > produc7822875418678951345atural > produc989692990947075319atural ).

thf(func_def_797,type,
    produc7368190662567826135_nat_o: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc4928098042776334183_nat_o ).

thf(func_def_798,type,
    produc2245416461498447860et_nat: ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > produc2732055786443039994et_nat ).

thf(func_def_799,type,
    produc5001842942810119800et_nat: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > produc3925858234332021118et_nat ).

thf(func_def_800,type,
    produc5700946648718959541nt_int: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ).

thf(func_def_801,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(func_def_802,type,
    produc118845697133431529n_assn: assn > assn > produc6575502325842934193n_assn ).

thf(func_def_803,type,
    produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).

thf(func_def_804,type,
    produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_805,type,
    produc3574140220909816553atural: code_natural > code_natural > produc7822875418678951345atural ).

thf(func_def_806,type,
    produc6639722614265839536atural: code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_807,type,
    produc584006145561248582it_nat: heap_e7401611519738050253t_unit > nat > produc6653097349344004940it_nat ).

thf(func_def_808,type,
    produc7507926704131184380et_nat: heap_e7401611519738050253t_unit > set_nat > produc3658429121746597890et_nat ).

thf(func_def_809,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(func_def_810,type,
    product_Pair_int_nat: int > nat > product_prod_int_nat ).

thf(func_def_811,type,
    produc3313821056773121708n_assn: int > produc6575502325842934193n_assn > produc3167338625816234618n_assn ).

thf(func_def_812,type,
    produc3525228511222278652at_nat: int > product_prod_nat_nat > produc1062882101152166346at_nat ).

thf(func_def_813,type,
    produc364263696895485585st_int: list_int > list_int > produc1186641810826059865st_int ).

thf(func_def_814,type,
    produc4542114716404682293st_nat: list_int > list_nat > produc3676724955757786621st_nat ).

thf(func_def_815,type,
    produc4510294837168919970n_assn: list_int > list_P8527749157015355191n_assn > produc8582807064127716720n_assn ).

thf(func_def_816,type,
    produc7739558402351520821st_int: list_nat > list_int > produc8561936516282095101st_int ).

thf(func_def_817,type,
    produc2694037385005941721st_nat: list_nat > list_nat > produc1828647624359046049st_nat ).

thf(func_def_818,type,
    produc7706768604797473534n_assn: list_nat > list_P8527749157015355191n_assn > produc2555908794901494476n_assn ).

thf(func_def_819,type,
    produc7723716018658481613list_c: list_nat > list_c > produc1655478831073744795list_c ).

thf(func_def_820,type,
    produc7723716022961710414list_d: list_nat > list_d > produc1726512871120090780list_d ).

thf(func_def_821,type,
    produc1996262876970182428st_int: list_P8527749157015355191n_assn > list_int > produc4164172529858598818st_int ).

thf(func_def_822,type,
    produc6174113896479379136st_nat: list_P8527749157015355191n_assn > list_nat > produc6654255674790325574st_nat ).

thf(func_def_823,type,
    produc3014731801419794263n_assn: list_P8527749157015355191n_assn > list_P8527749157015355191n_assn > produc337509097454979815n_assn ).

thf(func_def_824,type,
    produc7536900900485677911at_nat: list_s1210847774152347623at_nat > list_s1210847774152347623at_nat > produc424102278133772007at_nat ).

thf(func_def_825,type,
    produc1948897715771513579st_int: list_c > list_int > produc8499486975545879281st_int ).

thf(func_def_826,type,
    produc6126748735280710287st_nat: list_c > list_nat > produc1766198083622830229st_nat ).

thf(func_def_827,type,
    produc5515445818230282391list_c: list_c > list_c > produc7985223085803476903list_c ).

thf(func_def_828,type,
    produc5515445822533511192list_d: list_c > list_d > produc8056257125849822888list_d ).

thf(func_def_829,type,
    produc2615797191311421932st_int: list_d > list_int > produc9166386451085787634st_int ).

thf(func_def_830,type,
    produc6793648210820618640st_nat: list_d > list_nat > produc2433097559162738582st_nat ).

thf(func_def_831,type,
    produc242965416994095062list_c: list_d > list_c > produc2712742684567289574list_c ).

thf(func_def_832,type,
    produc242965421297323863list_d: list_d > list_d > produc2783776724613635559list_d ).

thf(func_def_833,type,
    produc4348348721325984599at_nat: multis2468970476368604999at_nat > multis2468970476368604999at_nat > produc4166570645942440679at_nat ).

thf(func_def_834,type,
    product_Pair_nat_int: nat > int > product_prod_nat_int ).

thf(func_def_835,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_836,type,
    produc1553784393020010504n_assn: nat > produc6575502325842934193n_assn > produc1407301962063123414n_assn ).

thf(func_def_837,type,
    produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat ).

thf(func_def_838,type,
    product_Pair_nat_c: nat > c > product_prod_nat_c ).

thf(func_def_839,type,
    product_Pair_nat_d: nat > d > product_prod_nat_d ).

thf(func_def_840,type,
    product_Pair_num_num: num > num > product_prod_num_num ).

thf(func_def_841,type,
    produc8406175334058502835nt_int: produc7773217078559923341nt_int > produc7773217078559923341nt_int > produc2501202720802129403nt_int ).

thf(func_def_842,type,
    produc7954516348491987909nteger: produc1908205239877642774nteger > produc1908205239877642774nteger > produc824974754969098637nteger ).

thf(func_def_843,type,
    produc1940133919992309389et_nat: produc2732055786443039994et_nat > produc2732055786443039994et_nat > produc5657529347773406293et_nat ).

thf(func_def_844,type,
    produc8599840265553166229et_nat: produc3925858234332021118et_nat > produc3925858234332021118et_nat > produc6830853553727218525et_nat ).

thf(func_def_845,type,
    produc7601053194514725023nt_int: produc2285326912895808259nt_int > produc2285326912895808259nt_int > produc2432570611225516007nt_int ).

thf(func_def_846,type,
    produc6453891449406693510sn_int: produc6575502325842934193n_assn > int > produc8718178513971670540sn_int ).

thf(func_def_847,type,
    produc6456381919915743786sn_nat: produc6575502325842934193n_assn > nat > produc3672657496626091440sn_nat ).

thf(func_def_848,type,
    produc6128706242671166167n_assn: produc6575502325842934193n_assn > produc6575502325842934193n_assn > produc9053633027152450663n_assn ).

thf(func_def_849,type,
    produc4480994950612372183atural: produc7822875418678951345atural > produc7822875418678951345atural > produc6756470014200349799atural ).

thf(func_def_850,type,
    produc6348220600061155286at_int: product_prod_nat_nat > int > produc4196048018000912732at_int ).

thf(func_def_851,type,
    produc6350711070570205562at_nat: product_prod_nat_nat > nat > produc8373899037510109440at_nat ).

thf(func_def_852,type,
    produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).

thf(func_def_853,type,
    produc2335810615602371415at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat > produc1906917888121415911at_nat ).

thf(func_def_854,type,
    produc7133225469290080770it_nat: product_unit > produc6653097349344004940it_nat > produc8664842809031399944it_nat ).

thf(func_def_855,type,
    produc763777882069021527od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > produc2934264451710624999od_o_o ).

thf(func_def_856,type,
    produc8517790099723286449at_nat: set_Product_prod_o_o > set_Pr1261947904930325089at_nat > produc732395585841259969at_nat ).

thf(func_def_857,type,
    produc5245064249948416855at_nat: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > produc4193628355235574503at_nat ).

thf(func_def_858,type,
    produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ).

thf(func_def_859,type,
    produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ).

thf(func_def_860,type,
    product_Pair_c_int: c > int > product_prod_c_int ).

thf(func_def_861,type,
    product_Pair_c_nat: c > nat > product_prod_c_nat ).

thf(func_def_862,type,
    product_Pair_c_c: c > c > product_prod_c_c ).

thf(func_def_863,type,
    product_Pair_c_d: c > d > product_prod_c_d ).

thf(func_def_864,type,
    product_Pair_d_int: d > int > product_prod_d_int ).

thf(func_def_865,type,
    product_Pair_d_nat: d > nat > product_prod_d_nat ).

thf(func_def_866,type,
    product_Pair_d_c: d > c > product_prod_d_c ).

thf(func_def_867,type,
    product_Pair_d_d: d > d > product_prod_d_d ).

thf(func_def_868,type,
    produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_869,type,
    product_Unity: product_unit ).

thf(func_def_870,type,
    produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_871,type,
    produc9098658269643458507_int_o: ( produc7773217078559923341nt_int > $o ) > ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_872,type,
    produc1217013493180205570eger_o: ( produc1908205239877642774nteger > $o ) > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_873,type,
    produc5101573711933517782_nat_o: ( produc2732055786443039994et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_874,type,
    produc6216949301066131538_nat_o: ( produc3925858234332021118et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_875,type,
    produc730925184835016917_int_o: ( produc2285326912895808259nt_int > $o ) > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_876,type,
    produc7274209992780475162assn_o: ( assn > assn > $o ) > produc6575502325842934193n_assn > $o ).

thf(func_def_877,type,
    produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).

thf(func_def_878,type,
    produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_879,type,
    produc8282080750456430313atural: ( code_natural > code_natural > produc6756470014200349799atural ) > produc7822875418678951345atural > produc6756470014200349799atural ).

thf(func_def_880,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_881,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_882,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_883,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_884,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_885,type,
    produc9167289414957590229n_assn: produc6575502325842934193n_assn > assn ).

thf(func_def_886,type,
    produc1824681642469235216et_nat: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_887,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(func_def_888,type,
    produc2051961928117032727n_assn: produc6575502325842934193n_assn > assn ).

thf(func_def_889,type,
    produc6591912806276919810atural: produc5835291356934675326atural > produc7822875418678951345atural ).

thf(func_def_890,type,
    produc8586169260539613262et_nat: produc3658429121746597890et_nat > set_nat ).

thf(func_def_891,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(func_def_892,type,
    produc5538323210962509403atural: ( produc7822875418678951345atural > produc5835291356934675326atural ) > ( code_natural > produc7822875418678951345atural > produc5835291356934675326atural ) > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_893,type,
    inc_shift: code_natural > code_natural > code_natural ).

thf(func_def_894,type,
    iterat8892046348760725948atural: code_natural > ( code_natural > produc7822875418678951345atural > produc5835291356934675326atural ) > code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_895,type,
    log: code_natural > code_natural > code_natural ).

thf(func_def_896,type,
    log_rel: produc7822875418678951345atural > produc7822875418678951345atural > $o ).

thf(func_def_897,type,
    minus_shift: code_natural > code_natural > code_natural > code_natural ).

thf(func_def_898,type,
    next: produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_899,type,
    range: code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_900,type,
    split_seed: produc7822875418678951345atural > produc6756470014200349799atural ).

thf(func_def_901,type,
    abs_Rat: product_prod_int_int > rat ).

thf(func_def_902,type,
    fract: int > int > rat ).

thf(func_def_903,type,
    frct: product_prod_int_int > rat ).

thf(func_def_904,type,
    rep_Rat: rat > product_prod_int_int ).

thf(func_def_905,type,
    normalize: product_prod_int_int > product_prod_int_int ).

thf(func_def_906,type,
    of_int: int > rat ).

thf(func_def_907,type,
    pcr_rat: product_prod_int_int > rat > $o ).

thf(func_def_908,type,
    quotient_of: rat > product_prod_int_int ).

thf(func_def_909,type,
    ratrel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_910,type,
    refine_Imp_assert: $o > heap_T5738788834812785303t_unit ).

thf(func_def_911,type,
    field_81821745747897882_nat_o: set_Pr2161125870931222855_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_912,type,
    field_o: set_Product_prod_o_o > set_o ).

thf(func_def_913,type,
    field_int: set_Pr958786334691620121nt_int > set_int ).

thf(func_def_914,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_915,type,
    field_4706345496283612622at_nat: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_916,type,
    field_2862844103579723188at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_917,type,
    field_3145993188331922222at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat ).

thf(func_def_918,type,
    total_7429123086324524369_nat_o: set_Pr4532377907799695533_nat_o > set_Pr2161125870931222855_nat_o > $o ).

thf(func_def_919,type,
    total_on_o: set_o > set_Product_prod_o_o > $o ).

thf(func_def_920,type,
    total_on_int: set_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_921,type,
    total_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_922,type,
    total_3592101749530773125at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o ).

thf(func_def_923,type,
    total_1513685709984341995at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o ).

thf(func_def_924,type,
    total_7212417256332265445at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_925,type,
    algebr932160517623751201me_int: int > int > $o ).

thf(func_def_926,type,
    algebr934650988132801477me_nat: nat > nat > $o ).

thf(func_def_927,type,
    divide6298287555418463151nteger: code_integer > code_integer > code_integer ).

thf(func_def_928,type,
    divide5121882707175180666atural: code_natural > code_natural > code_natural ).

thf(func_def_929,type,
    divide_divide_int: int > int > int ).

thf(func_def_930,type,
    divide_divide_nat: nat > nat > nat ).

thf(func_def_931,type,
    divide_divide_rat: rat > rat > rat ).

thf(func_def_932,type,
    dvd_dvd_Code_integer: code_integer > code_integer > $o ).

thf(func_def_933,type,
    dvd_dvd_int: int > int > $o ).

thf(func_def_934,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(func_def_935,type,
    modulo364778990260209775nteger: code_integer > code_integer > code_integer ).

thf(func_def_936,type,
    modulo8411746178871703098atural: code_natural > code_natural > code_natural ).

thf(func_def_937,type,
    modulo_modulo_int: int > int > int ).

thf(func_def_938,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(func_def_939,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(func_def_940,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(func_def_941,type,
    collec939566748876313656_nat_o: ( ( produc3658429121746597890et_nat > $o ) > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_942,type,
    collect_o: ( $o > $o ) > set_o ).

thf(func_def_943,type,
    collect_int: ( int > $o ) > set_int ).

thf(func_def_944,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_945,type,
    collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_946,type,
    collec6321179662152712658at_nat: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_947,type,
    image_4470545334726330049nteger: ( code_integer > code_integer ) > set_Code_integer > set_Code_integer ).

thf(func_def_948,type,
    image_1215581382706833972nteger: ( nat > code_integer ) > set_nat > set_Code_integer ).

thf(func_def_949,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_950,type,
    image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).

thf(func_def_951,type,
    insert5175938949040314269_nat_o: ( produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_952,type,
    insert_o2: $o > set_o > set_o ).

thf(func_def_953,type,
    insert_int2: int > set_int > set_int ).

thf(func_def_954,type,
    insert_nat2: nat > set_nat > set_nat ).

thf(func_def_955,type,
    insert6201435330877294327od_o_o: product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o ).

thf(func_def_956,type,
    insert5290817439147925377n_assn: produc6575502325842934193n_assn > set_Pr5949110396991348497n_assn > set_Pr5949110396991348497n_assn ).

thf(func_def_957,type,
    insert5033312907999012233nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_958,type,
    insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_959,type,
    insert5050368324300391991at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).

thf(func_def_960,type,
    insert398606708087465655at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat ).

thf(func_def_961,type,
    insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_962,type,
    insert9200635055090092081at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).

thf(func_def_963,type,
    insert_c: c > set_c > set_c ).

thf(func_def_964,type,
    insert_d: d > set_d > set_d ).

thf(func_def_965,type,
    is_empty_o: set_o > $o ).

thf(func_def_966,type,
    is_empty_int: set_int > $o ).

thf(func_def_967,type,
    is_empty_nat: set_nat > $o ).

thf(func_def_968,type,
    is_emp7749065762491207043n_assn: set_Pr5949110396991348497n_assn > $o ).

thf(func_def_969,type,
    is_emp1662574758705540307at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_970,type,
    is_emp7572232645145209145at_nat: set_Pr4329608150637261639at_nat > $o ).

thf(func_def_971,type,
    is_sin5180296473474724033_nat_o: set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_972,type,
    is_singleton_o: set_o > $o ).

thf(func_def_973,type,
    is_singleton_int: set_int > $o ).

thf(func_def_974,type,
    is_singleton_nat: set_nat > $o ).

thf(func_def_975,type,
    is_sin2850979758926227957at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_976,type,
    is_sin2937591304547752795at_nat: set_Pr4329608150637261639at_nat > $o ).

thf(func_def_977,type,
    pairwi2432143822833250616_nat_o: ( ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ) > set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_978,type,
    pairwise_o: ( $o > $o > $o ) > set_o > $o ).

thf(func_def_979,type,
    pairwise_int: ( int > int > $o ) > set_int > $o ).

thf(func_def_980,type,
    pairwise_nat: ( nat > nat > $o ) > set_nat > $o ).

thf(func_def_981,type,
    pairwi6357175311820755948at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_982,type,
    pairwi3222497012029234898at_nat: ( produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_983,type,
    remove4651630035290841522_nat_o: ( produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_984,type,
    remove_o: $o > set_o > set_o ).

thf(func_def_985,type,
    remove_int: int > set_int > set_int ).

thf(func_def_986,type,
    remove_nat: nat > set_nat > set_nat ).

thf(func_def_987,type,
    remove6142905432236673558n_assn: produc6575502325842934193n_assn > set_Pr5949110396991348497n_assn > set_Pr5949110396991348497n_assn ).

thf(func_def_988,type,
    remove6466555014256735590at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_989,type,
    remove5300788332298244428at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_990,type,
    the_elem_o: set_o > $o ).

thf(func_def_991,type,
    the_elem_int: set_int > int ).

thf(func_def_992,type,
    the_elem_nat: set_nat > nat ).

thf(func_def_993,type,
    the_el2281957884133575798at_nat: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_994,type,
    the_el221668144340439132at_nat: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_995,type,
    vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_996,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(func_def_997,type,
    set_or189985376899183464nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_998,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(func_def_999,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(func_def_1000,type,
    set_or8404916559141939852nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_1001,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(func_def_1002,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(func_def_1003,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(func_def_1004,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(func_def_1005,type,
    set_or2715278749043346189nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_1006,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(func_def_1007,type,
    set_or6659071591806873216st_nat: nat > nat > set_nat ).

thf(func_def_1008,type,
    set_or4266950643985792945nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_1009,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(func_def_1010,type,
    set_or5834768355832116004an_nat: nat > nat > set_nat ).

thf(func_def_1011,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(func_def_1012,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(func_def_1013,type,
    syntax7398250324933576852n_assn: assn > assn > $o ).

thf(func_def_1014,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1015,type,
    transi6261509568448316235cl_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_1016,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1017,type,
    transi4533545184864474924nt_int: set_Pr8634505666381077339nt_int > set_Pr8634505666381077339nt_int ).

thf(func_def_1018,type,
    transi6228740973808232501nteger: set_Pr1722956316086891245nteger > set_Pr1722956316086891245nteger ).

thf(func_def_1019,type,
    transi5221092739591632921et_nat: set_Pr3444600963470892981et_nat > set_Pr3444600963470892981et_nat ).

thf(func_def_1020,type,
    transi3145040225084697757et_nat: set_Pr7928877670098842301et_nat > set_Pr7928877670098842301et_nat ).

thf(func_def_1021,type,
    transi7434818091516421410nt_int: set_Pr4708930517165415495nt_int > set_Pr4708930517165415495nt_int ).

thf(func_def_1022,type,
    transi2703068831062848130at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1023,type,
    transitive_trancl_c: set_Product_prod_c_c > set_Product_prod_c_c ).

thf(func_def_1024,type,
    transitive_trancl_d: set_Product_prod_d_d > set_Product_prod_d_d ).

thf(func_def_1025,type,
    transi2163837189807498211lp_nat: ( nat > nat > $o ) > nat > nat > $o ).

thf(func_def_1026,type,
    type_d3909072315231072503_nat_o: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_1027,type,
    vEBT_L8888932350013902202nt_int: set_nat > ( int > int > assn ) > list_int > list_int > assn ).

thf(func_def_1028,type,
    vEBT_L8891422820522952478nt_nat: set_nat > ( int > nat > assn ) > list_int > list_nat > assn ).

thf(func_def_1029,type,
    vEBT_L7889578638112847646at_int: set_nat > ( nat > int > assn ) > list_nat > list_int > assn ).

thf(func_def_1030,type,
    vEBT_L7892069108621897922at_nat: set_nat > ( nat > nat > assn ) > list_nat > list_nat > assn ).

thf(func_def_1031,type,
    vEBT_L8146214880390291086_nat_c: set_nat > ( nat > c > assn ) > list_nat > list_c > assn ).

thf(func_def_1032,type,
    vEBT_L8146214880390291087_nat_d: set_nat > ( nat > d > assn ) > list_nat > list_d > assn ).

thf(func_def_1033,type,
    vEBT_L6582681566615743372_c_int: set_nat > ( c > int > assn ) > list_c > list_int > assn ).

thf(func_def_1034,type,
    vEBT_L6585172037124793648_c_nat: set_nat > ( c > nat > assn ) > list_c > list_nat > assn ).

thf(func_def_1035,type,
    vEBT_L824818263033719200sn_c_c: set_nat > ( c > c > assn ) > list_c > list_c > assn ).

thf(func_def_1036,type,
    vEBT_L824818263033719201sn_c_d: set_nat > ( c > d > assn ) > list_c > list_d > assn ).

thf(func_def_1037,type,
    vEBT_L7818125895572137869_d_int: set_nat > ( d > int > assn ) > list_d > list_int > assn ).

thf(func_def_1038,type,
    vEBT_L7820616366081188145_d_nat: set_nat > ( d > nat > assn ) > list_d > list_nat > assn ).

thf(func_def_1039,type,
    vEBT_L7260734717915818975sn_d_c: set_nat > ( d > c > assn ) > list_d > list_c > assn ).

thf(func_def_1040,type,
    vEBT_L7260734717915818976sn_d_d: set_nat > ( d > d > assn ) > list_d > list_d > assn ).

thf(func_def_1041,type,
    vEBT_L74593716426352029nt_int: ( int > int > assn ) > list_int > list_int > assn ).

thf(func_def_1042,type,
    vEBT_L77084186935402305nt_nat: ( int > nat > assn ) > list_int > list_nat > assn ).

thf(func_def_1043,type,
    vEBT_L1620274777744359680n_assn: ( int > produc6575502325842934193n_assn > assn ) > list_int > list_P8527749157015355191n_assn > assn ).

thf(func_def_1044,type,
    vEBT_L3472024597287490640at_nat: ( int > product_prod_nat_nat > assn ) > list_int > list_P6011104703257516679at_nat > assn ).

thf(func_def_1045,type,
    vEBT_L8298612041380073281at_int: ( nat > int > assn ) > list_nat > list_int > assn ).

thf(func_def_1046,type,
    vEBT_L8301102511889123557at_nat: ( nat > nat > assn ) > list_nat > list_nat > assn ).

thf(func_def_1047,type,
    vEBT_L9083610150846024284n_assn: ( nat > produc6575502325842934193n_assn > assn ) > list_nat > list_P8527749157015355191n_assn > assn ).

thf(func_def_1048,type,
    vEBT_L434182512823356844at_nat: ( nat > product_prod_nat_nat > assn ) > list_nat > list_P6011104703257516679at_nat > assn ).

thf(func_def_1049,type,
    vEBT_L6400351906427472171_nat_c: ( nat > c > assn ) > list_nat > list_c > assn ).

thf(func_def_1050,type,
    vEBT_L6400351906427472172_nat_d: ( nat > d > assn ) > list_nat > list_d > assn ).

thf(func_def_1051,type,
    vEBT_L4760345170377931482sn_int: ( produc6575502325842934193n_assn > int > assn ) > list_P8527749157015355191n_assn > list_int > assn ).

thf(func_def_1052,type,
    vEBT_L4762835640886981758sn_nat: ( produc6575502325842934193n_assn > nat > assn ) > list_P8527749157015355191n_assn > list_nat > assn ).

thf(func_def_1053,type,
    vEBT_L3108143461992071043n_assn: ( produc6575502325842934193n_assn > produc6575502325842934193n_assn > assn ) > list_P8527749157015355191n_assn > list_P8527749157015355191n_assn > assn ).

thf(func_def_1054,type,
    vEBT_L6295016686126367274at_int: ( product_prod_nat_nat > int > assn ) > list_P6011104703257516679at_nat > list_int > assn ).

thf(func_def_1055,type,
    vEBT_L6297507156635417550at_nat: ( product_prod_nat_nat > nat > assn ) > list_P6011104703257516679at_nat > list_nat > assn ).

thf(func_def_1056,type,
    vEBT_L4836818592652924457_c_int: ( c > int > assn ) > list_c > list_int > assn ).

thf(func_def_1057,type,
    vEBT_L4839309063161974733_c_nat: ( c > nat > assn ) > list_c > list_nat > assn ).

thf(func_def_1058,type,
    vEBT_L7968352277243653187sn_c_c: ( c > c > assn ) > list_c > list_c > assn ).

thf(func_def_1059,type,
    vEBT_L7968352277243653188sn_c_d: ( c > d > assn ) > list_c > list_d > assn ).

thf(func_def_1060,type,
    vEBT_L6072262921609318954_d_int: ( d > int > assn ) > list_d > list_int > assn ).

thf(func_def_1061,type,
    vEBT_L6074753392118369230_d_nat: ( d > nat > assn ) > list_d > list_nat > assn ).

thf(func_def_1062,type,
    vEBT_L5180896695270977154sn_d_c: ( d > c > assn ) > list_d > list_c > assn ).

thf(func_def_1063,type,
    vEBT_L5180896695270977155sn_d_d: ( d > d > assn ) > list_d > list_d > assn ).

thf(func_def_1064,type,
    accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).

thf(func_def_1065,type,
    accp_P1862375125659990705et_nat: ( produc2732055786443039994et_nat > produc2732055786443039994et_nat > $o ) > produc2732055786443039994et_nat > $o ).

thf(func_def_1066,type,
    accp_P8126237942716283194atural: ( produc7822875418678951345atural > produc7822875418678951345atural > $o ) > produc7822875418678951345atural > $o ).

thf(func_def_1067,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_1068,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_1069,type,
    less_than: set_Pr1261947904930325089at_nat ).

thf(func_def_1070,type,
    max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1071,type,
    min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1072,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_1073,type,
    wf_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1074,type,
    member8845023287901829240e_term: ( int > option6357759511663192854e_term ) > set_in3461395444621081367e_term > $o ).

thf(func_def_1075,type,
    member4242434998011752849e_term: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > set_Pr7604974323444597168e_term > $o ).

thf(func_def_1076,type,
    member6576561426505652726_nat_o: ( produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_1077,type,
    member3222579708246209666e_term: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > set_Pr3642885161833720865e_term > $o ).

thf(func_def_1078,type,
    member_o: $o > set_o > $o ).

thf(func_def_1079,type,
    member_assn: assn > set_assn > $o ).

thf(func_def_1080,type,
    member_Code_integer: code_integer > set_Code_integer > $o ).

thf(func_def_1081,type,
    member_int: int > set_int > $o ).

thf(func_def_1082,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_1083,type,
    member_num: num > set_num > $o ).

thf(func_def_1084,type,
    member7034335876925520548nt_int: produc7773217078559923341nt_int > set_Pr1872883991513573699nt_int > $o ).

thf(func_def_1085,type,
    member4164122664394876845nteger: produc1908205239877642774nteger > set_Pr1281608226676607948nteger > $o ).

thf(func_def_1086,type,
    member8781333585448626064_nat_o: produc4928098042776334183_nat_o > set_Pr2161125870931222855_nat_o > $o ).

thf(func_def_1087,type,
    member6124377750444531601et_nat: produc2732055786443039994et_nat > set_Pr8536935166611901872et_nat > $o ).

thf(func_def_1088,type,
    member1996754912294343701et_nat: produc3925858234332021118et_nat > set_Pr3286484037609594932et_nat > $o ).

thf(func_def_1089,type,
    member7618704894036264090nt_int: produc2285326912895808259nt_int > set_Pr9222295170931077689nt_int > $o ).

thf(func_def_1090,type,
    member7466972457876170832od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).

thf(func_def_1091,type,
    member7957490590177025114n_assn: produc6575502325842934193n_assn > set_Pr5949110396991348497n_assn > $o ).

thf(func_def_1092,type,
    member157494554546826820nteger: produc8923325533196201883nteger > set_Pr4811707699266497531nteger > $o ).

thf(func_def_1093,type,
    member6260224972018164377et_nat: produc3658429121746597890et_nat > set_Pr3948176798113811640et_nat > $o ).

thf(func_def_1094,type,
    member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_1095,type,
    member216504246829706758nt_nat: product_prod_int_nat > set_Pr3448869479623346877nt_nat > $o ).

thf(func_def_1096,type,
    member241480614033477777n_assn: produc3167338625816234618n_assn > set_Pr3255386646789011632n_assn > $o ).

thf(func_def_1097,type,
    member5261114234888836065at_nat: produc1062882101152166346at_nat > set_Pr6620829329807565824at_nat > $o ).

thf(func_def_1098,type,
    member6698963635872716290st_int: produc1186641810826059865st_int > set_Pr765067013931698361st_int > $o ).

thf(func_def_1099,type,
    member9189046780804443046st_nat: produc3676724955757786621st_nat > set_Pr5578615432719617117st_nat > $o ).

thf(func_def_1100,type,
    member490958779117458567n_assn: produc8582807064127716720n_assn > set_Pr4168565316758867366n_assn > $o ).

thf(func_def_1101,type,
    member4850886304473975718st_int: produc8561936516282095101st_int > set_Pr7861072320784411741st_int > $o ).

thf(func_def_1102,type,
    member7340969449405702474st_nat: produc1828647624359046049st_nat > set_Pr3451248702717554689st_nat > $o ).

thf(func_def_1103,type,
    member3687432546746012131n_assn: produc2555908794901494476n_assn > set_Pr7093487733527993602n_assn > $o ).

thf(func_def_1104,type,
    member6074218473364765234list_c: produc1655478831073744795list_c > set_Pr2380792130361903057list_c > $o ).

thf(func_def_1105,type,
    member6145252513411111219list_d: produc1726512871120090780list_d > set_Pr9082979648927643218list_d > $o ).

thf(func_def_1106,type,
    member5295696281703116473st_int: produc4164172529858598818st_int > set_Pr4898238009683259096st_int > $o ).

thf(func_def_1107,type,
    member7785779426634843229st_nat: produc6654255674790325574st_nat > set_Pr488414391616402044st_nat > $o ).

thf(func_def_1108,type,
    member3994142547374651152n_assn: produc337509097454979815n_assn > set_Pr6863447823992824007n_assn > $o ).

thf(func_def_1109,type,
    member4080735728053443344at_nat: produc424102278133772007at_nat > set_Pr4333006031979791559at_nat > $o ).

thf(func_def_1110,type,
    member3694854580982123912st_int: produc8499486975545879281st_int > set_Pr1946635486513090599st_int > $o ).

thf(func_def_1111,type,
    member6184937725913850668st_nat: produc1766198083622830229st_nat > set_Pr6760183905301009355st_nat > $o ).

thf(func_def_1112,type,
    member7012247553653173456list_c: produc7985223085803476903list_c > set_Pr2058341694840537735list_c > $o ).

thf(func_def_1113,type,
    member7083281593699519441list_d: produc8056257125849822888list_d > set_Pr8760529213406277896list_d > $o ).

thf(func_def_1114,type,
    member4361754056522032265st_int: produc9166386451085787634st_int > set_Pr7415257249380972200st_int > $o ).

thf(func_def_1115,type,
    member6851837201453759021st_nat: produc2433097559162738582st_nat > set_Pr3005433631314115148st_nat > $o ).

thf(func_def_1116,type,
    member1739767152416986127list_c: produc2712742684567289574list_c > set_Pr8195957489705318982list_c > $o ).

thf(func_def_1117,type,
    member1810801192463332112list_d: produc2783776724613635559list_d > set_Pr5674772971416283335list_d > $o ).

thf(func_def_1118,type,
    member6689249552917799696at_nat: produc4166570645942440679at_nat > set_Pr8551490117392284871at_nat > $o ).

thf(func_def_1119,type,
    member4262671552274231302at_int: product_prod_nat_int > set_Pr7995236796853374141at_int > $o ).

thf(func_def_1120,type,
    member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1121,type,
    member7704815987135142381n_assn: produc1407301962063123414n_assn > set_Pr247834672394327052n_assn > $o ).

thf(func_def_1122,type,
    member2223272150424702269at_nat: produc7248412053542808358at_nat > set_Pr7717912310451564380at_nat > $o ).

thf(func_def_1123,type,
    member8962352060716553276_nat_c: product_prod_nat_c > set_Pr4335409928928841947_nat_c > $o ).

thf(func_def_1124,type,
    member8962352065019782077_nat_d: product_prod_nat_d > set_Pr4406443968975187932_nat_d > $o ).

thf(func_def_1125,type,
    member4085533954029916580nt_int: produc2501202720802129403nt_int > set_Pr8634505666381077339nt_int > $o ).

thf(func_def_1126,type,
    member2446009503569356342nteger: produc824974754969098637nteger > set_Pr1722956316086891245nteger > $o ).

thf(func_def_1127,type,
    member6341495586645257982et_nat: produc5657529347773406293et_nat > set_Pr3444600963470892981et_nat > $o ).

thf(func_def_1128,type,
    member4763271486408492550et_nat: produc6830853553727218525et_nat > set_Pr7928877670098842301et_nat > $o ).

thf(func_def_1129,type,
    member6582457606847315088nt_int: produc2432570611225516007nt_int > set_Pr4708930517165415495nt_int > $o ).

thf(func_def_1130,type,
    member5792320502188913699sn_int: produc8718178513971670540sn_int > set_Pr2181989527757714242sn_int > $o ).

thf(func_def_1131,type,
    member746799484843334599sn_nat: produc3672657496626091440sn_nat > set_Pr4672072672689440998sn_nat > $o ).

thf(func_def_1132,type,
    member4743710847862083984n_assn: produc9053633027152450663n_assn > set_Pr8116311503512020807n_assn > $o ).

thf(func_def_1133,type,
    member8394280151737582451at_int: produc4196048018000912732at_int > set_Pr49084382684228242at_int > $o ).

thf(func_def_1134,type,
    member3348759134392003351at_nat: produc8373899037510109440at_nat > set_Pr2539167527615954998at_nat > $o ).

thf(func_def_1135,type,
    member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).

thf(func_def_1136,type,
    member6009668390874684176at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > $o ).

thf(func_def_1137,type,
    member444158400953824016od_o_o: produc2934264451710624999od_o_o > set_Pr1932065953672099015od_o_o > $o ).

thf(func_def_1138,type,
    member4095101504841534314at_nat: produc732395585841259969at_nat > set_Pr457366540195662369at_nat > $o ).

thf(func_def_1139,type,
    member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_1140,type,
    member4017226226790010994_c_int: product_prod_c_int > set_Pr4413417460947882513_c_int > $o ).

thf(func_def_1141,type,
    member8195077246299207702_c_nat: product_prod_c_nat > set_Pr6903500605879609269_c_nat > $o ).

thf(func_def_1142,type,
    member5074992359041316560od_c_c: product_prod_c_c > set_Product_prod_c_c > $o ).

thf(func_def_1143,type,
    member5074992363344545361od_c_d: product_prod_c_d > set_Product_prod_c_d > $o ).

thf(func_def_1144,type,
    member5252670555746405491_d_int: product_prod_d_int > set_Pr786264039281237394_d_int > $o ).

thf(func_def_1145,type,
    member207149538400826391_d_nat: product_prod_d_nat > set_Pr3276347184212964150_d_nat > $o ).

thf(func_def_1146,type,
    member2287536777068640527od_d_c: product_prod_d_c > set_Product_prod_d_c > $o ).

thf(func_def_1147,type,
    member2287536781371869328od_d_d: product_prod_d_d > set_Product_prod_d_d > $o ).

thf(func_def_1148,type,
    member2643936169264416010at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > $o ).

thf(func_def_1149,type,
    member_c: c > set_c > $o ).

thf(func_def_1150,type,
    member_d: d > set_d > $o ).

thf(func_def_1151,type,
    a: c > d > assn ).

thf(func_def_1152,type,
    f: assn ).

thf(func_def_1153,type,
    i: set_nat ).

thf(func_def_1154,type,
    p: assn ).

thf(func_def_1155,type,
    q: assn ).

thf(func_def_1156,type,
    i2: nat ).

thf(func_def_1157,type,
    x: c ).

thf(func_def_1158,type,
    xi: d ).

thf(func_def_1159,type,
    xs: list_c ).

thf(func_def_1160,type,
    xsi: list_d ).

thf(func_def_1162,type,
    vNOT: $o > $o ).

thf(func_def_1163,type,
    vAND: $o > $o > $o ).

thf(func_def_1164,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_1165,type,
    vIMP: $o > $o > $o ).

thf(func_def_1166,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_1167,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_1168,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_1169,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_1170,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_1171,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_1174,type,
    vOR: $o > $o > $o ).

thf(func_def_1175,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_1176,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_1177,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_1178,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_1179,type,
    sP0: int > int > int > $o ).

thf(func_def_1180,type,
    sP1: nat > nat > nat > $o ).

thf(func_def_1181,type,
    sK2: ( int > assn ) > int ).

thf(func_def_1182,type,
    sK3: ( int > assn ) > int ).

thf(func_def_1183,type,
    sK4: num > num ).

thf(func_def_1184,type,
    sK5: ( nat > $o ) > nat > nat ).

thf(func_def_1185,type,
    sK6: num > num ).

thf(func_def_1186,type,
    sK7: nat > nat > nat ).

thf(func_def_1187,type,
    sK8: ( code_integer > assn ) > code_integer ).

thf(func_def_1188,type,
    sK9: ( code_integer > assn ) > code_integer ).

thf(func_def_1189,type,
    sK10: ( nat > nat ) > nat ).

thf(func_def_1190,type,
    sK11: ( nat > assn ) > nat ).

thf(func_def_1191,type,
    sK12: ( nat > assn ) > nat ).

thf(func_def_1192,type,
    sK13: ( code_integer > nat ) > code_integer ).

thf(func_def_1193,type,
    sK14: ( code_integer > nat ) > code_integer ).

thf(func_def_1194,type,
    sK15: ( num > num > $o ) > num ).

thf(func_def_1195,type,
    sK16: ( num > num > $o ) > num ).

thf(func_def_1196,type,
    sK17: ( num > num > $o ) > num ).

thf(func_def_1197,type,
    sK18: ( num > num > $o ) > num ).

thf(func_def_1198,type,
    sK19: ( num > num > $o ) > num ).

thf(func_def_1199,type,
    sK20: ( nat > assn ) > nat ).

thf(func_def_1200,type,
    sK21: ( nat > assn ) > nat ).

thf(func_def_1201,type,
    sK22: ( assn > int ) > assn ).

thf(func_def_1202,type,
    sK23: ( assn > int ) > assn ).

thf(func_def_1203,type,
    sK24: ( assn > assn ) > assn ).

thf(func_def_1204,type,
    sK25: ( assn > assn ) > assn ).

thf(func_def_1205,type,
    sK26: num > num ).

thf(func_def_1206,type,
    sK27: nat > nat ).

thf(func_def_1207,type,
    sK28: ( assn > assn ) > assn ).

thf(func_def_1208,type,
    sK29: ( assn > assn ) > assn ).

thf(func_def_1209,type,
    sK30: ( nat > nat > $o ) > nat ).

thf(func_def_1210,type,
    sK31: ( nat > nat > $o ) > nat ).

thf(func_def_1211,type,
    sK32: ( nat > nat > $o ) > nat ).

thf(func_def_1212,type,
    sK33: ( nat > nat > $o ) > nat ).

thf(func_def_1213,type,
    sK34: ( assn > assn ) > assn ).

thf(func_def_1214,type,
    sK35: ( assn > assn ) > assn ).

thf(func_def_1215,type,
    sK36: ( assn > code_integer ) > assn ).

thf(func_def_1216,type,
    sK37: ( assn > code_integer ) > assn ).

thf(func_def_1217,type,
    sK38: nat > ( nat > $o ) > nat ).

thf(func_def_1218,type,
    sK39: ( assn > assn ) > assn ).

thf(func_def_1219,type,
    sK40: ( assn > assn ) > assn ).

thf(func_def_1220,type,
    sK41: ( assn > num ) > assn ).

thf(func_def_1221,type,
    sK42: ( assn > num ) > assn ).

thf(func_def_1222,type,
    sK43: ( nat > num ) > nat ).

thf(func_def_1223,type,
    sK44: ( int > int ) > int ).

thf(func_def_1224,type,
    sK45: ( int > int ) > int ).

thf(func_def_1225,type,
    sK46: int > int ).

thf(func_def_1226,type,
    sK47: set_nat > nat > set_nat ).

thf(func_def_1227,type,
    sK48: set_nat > nat > set_nat ).

thf(func_def_1228,type,
    sK49: ( code_integer > num ) > code_integer ).

thf(func_def_1229,type,
    sK50: ( code_integer > num ) > code_integer ).

thf(func_def_1230,type,
    sK51: ( nat > $o ) > nat > nat ).

thf(func_def_1231,type,
    sK52: ( nat > $o ) > nat > nat ).

thf(func_def_1232,type,
    sK53: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_1233,type,
    sK54: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_1234,type,
    sK55: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_1235,type,
    sK56: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_1236,type,
    sK57: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_1237,type,
    sK58: ( assn > nat ) > assn ).

thf(func_def_1238,type,
    sK59: ( assn > nat ) > assn ).

thf(func_def_1239,type,
    sK60: nat > nat ).

thf(func_def_1240,type,
    sK61: ( nat > $o ) > set_nat > nat ).

thf(func_def_1241,type,
    sK62: set_nat > ( nat > $o ) > nat ).

thf(func_def_1242,type,
    sK63: set_nat > ( nat > $o ) > set_nat > nat ).

thf(func_def_1243,type,
    sK64: ( num > code_integer ) > num ).

thf(func_def_1244,type,
    sK65: ( num > code_integer ) > num ).

thf(func_def_1245,type,
    sK66: ( d > nat > $o ) > nat > list_d ).

thf(func_def_1246,type,
    sK67: ( d > nat > $o ) > nat > nat ).

thf(func_def_1247,type,
    sK68: code_integer > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1248,type,
    sK69: code_integer > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1249,type,
    sK70: ( code_integer > $o ) > ( code_integer > $o ) > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1250,type,
    sK71: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1251,type,
    sK72: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1252,type,
    sK73: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1253,type,
    sK74: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1254,type,
    sK75: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1255,type,
    sK76: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1256,type,
    sK77: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1257,type,
    sK78: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1258,type,
    sK79: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1259,type,
    sK80: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1260,type,
    sK81: ( assn > int ) > assn ).

thf(func_def_1261,type,
    sK82: ( assn > int ) > assn ).

thf(func_def_1262,type,
    sK83: ( int > assn ) > int ).

thf(func_def_1263,type,
    sK84: ( int > assn ) > int ).

thf(func_def_1264,type,
    sK85: ( code_integer > assn ) > code_integer ).

thf(func_def_1265,type,
    sK86: ( code_integer > assn ) > code_integer ).

thf(func_def_1266,type,
    sK87: nat > nat > nat ).

thf(func_def_1267,type,
    sK88: int > int ).

thf(func_def_1268,type,
    sK89: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1269,type,
    sK90: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1270,type,
    sK91: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1271,type,
    sK92: num > num ).

thf(func_def_1272,type,
    sK93: list_d > list_d > nat ).

thf(func_def_1273,type,
    sK94: ( int > assn ) > int ).

thf(func_def_1274,type,
    sK95: ( int > assn ) > int ).

thf(func_def_1275,type,
    sK96: ( assn > int ) > assn ).

thf(func_def_1276,type,
    sK97: ( assn > int ) > assn ).

thf(func_def_1277,type,
    sK98: ( nat > int ) > nat ).

thf(func_def_1278,type,
    sK99: ( nat > int ) > nat ).

thf(func_def_1279,type,
    sK100: ( nat > nat > $o ) > nat ).

thf(func_def_1280,type,
    sK101: ( nat > nat > $o ) > nat ).

thf(func_def_1281,type,
    sK102: ( nat > nat > $o ) > nat ).

thf(func_def_1282,type,
    sK103: ( nat > nat > $o ) > nat ).

thf(func_def_1283,type,
    sK104: ( assn > num ) > assn ).

thf(func_def_1284,type,
    sK105: ( assn > num ) > assn ).

thf(func_def_1285,type,
    sK106: ( nat > $o ) > nat ).

thf(func_def_1286,type,
    sK107: ( list_c > $o ) > list_c ).

thf(func_def_1287,type,
    sK108: ( nat > int ) > nat ).

thf(func_def_1288,type,
    sK109: ( nat > int ) > nat ).

thf(func_def_1289,type,
    sK110: ( assn > nat ) > assn ).

thf(func_def_1290,type,
    sK111: ( assn > nat ) > assn ).

thf(func_def_1291,type,
    sK112: ( nat > nat ) > nat ).

thf(func_def_1292,type,
    sK113: ( nat > nat ) > nat ).

thf(func_def_1293,type,
    sK114: ( nat > nat > $o ) > nat ).

thf(func_def_1294,type,
    sK115: ( nat > nat > $o ) > nat ).

thf(func_def_1295,type,
    sK116: ( nat > nat > $o ) > nat ).

thf(func_def_1296,type,
    sK117: ( nat > nat > $o ) > nat ).

thf(func_def_1297,type,
    sK118: ( nat > nat > $o ) > nat ).

thf(func_def_1298,type,
    sK119: ( code_integer > assn ) > code_integer ).

thf(func_def_1299,type,
    sK120: ( code_integer > assn ) > code_integer ).

thf(func_def_1300,type,
    sK121: ( int > int ) > int ).

thf(func_def_1301,type,
    sK122: ( int > int ) > int ).

thf(func_def_1302,type,
    sK123: int > int ).

thf(func_def_1303,type,
    sK124: int > int ).

thf(func_def_1304,type,
    sK125: ( nat > code_integer ) > nat ).

thf(func_def_1305,type,
    sK126: ( nat > code_integer ) > nat ).

thf(func_def_1306,type,
    sK127: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1307,type,
    sK128: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1308,type,
    sK129: code_integer > code_integer ).

thf(func_def_1309,type,
    sK130: int > int ).

thf(func_def_1310,type,
    sK131: code_integer > code_integer ).

thf(func_def_1311,type,
    sK132: int > int ).

thf(func_def_1312,type,
    sK133: ( assn > assn > assn ) > assn ).

thf(func_def_1313,type,
    sK134: ( assn > assn > assn ) > assn ).

thf(func_def_1314,type,
    sK135: ( assn > assn > assn ) > assn ).

thf(func_def_1315,type,
    sK136: ( assn > assn > assn ) > assn ).

thf(func_def_1316,type,
    sK137: ( assn > assn > assn ) > assn ).

thf(func_def_1317,type,
    sK138: ( assn > assn > assn ) > assn ).

thf(func_def_1318,type,
    sK139: ( assn > assn > assn ) > assn ).

thf(func_def_1319,type,
    sK140: nat > nat ).

thf(func_def_1320,type,
    sK141: ( nat > nat ) > nat ).

thf(func_def_1321,type,
    sK142: ( nat > nat ) > nat ).

thf(func_def_1322,type,
    sK143: ( int > code_integer ) > int ).

thf(func_def_1323,type,
    sK144: ( int > code_integer ) > int ).

thf(func_def_1324,type,
    sK145: ( assn > int ) > assn ).

thf(func_def_1325,type,
    sK146: ( assn > int ) > assn ).

thf(func_def_1326,type,
    sK147: ( int > int ) > int ).

thf(func_def_1327,type,
    sK148: ( int > int ) > int ).

thf(func_def_1328,type,
    sK149: int > int ).

thf(func_def_1329,type,
    sK150: ( nat > nat ) > nat ).

thf(func_def_1330,type,
    sK151: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1331,type,
    sK152: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1332,type,
    sK153: ( nat > assn ) > nat ).

thf(func_def_1333,type,
    sK154: ( nat > assn ) > nat ).

thf(func_def_1334,type,
    sK155: ( nat > code_integer ) > nat ).

thf(func_def_1335,type,
    sK156: ( nat > code_integer ) > nat ).

thf(func_def_1336,type,
    sK157: ( nat > assn ) > nat ).

thf(func_def_1337,type,
    sK158: ( nat > $o ) > nat ).

thf(func_def_1338,type,
    sK159: ( assn > nat ) > assn ).

thf(func_def_1339,type,
    sK160: ( assn > nat ) > assn ).

thf(func_def_1340,type,
    sK161: set_nat > set_nat > nat ).

thf(func_def_1341,type,
    sK162: ( nat > nat ) > nat ).

thf(func_def_1342,type,
    sK163: ( nat > nat ) > nat ).

thf(func_def_1343,type,
    sK164: ( nat > nat ) > nat ).

thf(func_def_1344,type,
    sK165: ( nat > nat ) > nat ).

thf(func_def_1345,type,
    sK166: ( int > int ) > int ).

thf(func_def_1346,type,
    sK167: ( int > int ) > int ).

thf(func_def_1347,type,
    sK168: num > num ).

thf(func_def_1348,type,
    sK169: set_nat > ( nat > $o ) > set_nat > nat ).

thf(func_def_1349,type,
    sK170: set_nat > ( nat > $o ) > nat ).

thf(func_def_1350,type,
    sK171: ( nat > $o ) > set_nat > nat ).

thf(func_def_1351,type,
    sK172: ( nat > code_integer ) > nat ).

thf(func_def_1352,type,
    sK173: nat > nat ).

thf(func_def_1353,type,
    sK174: ( code_integer > num ) > code_integer ).

thf(func_def_1354,type,
    sK175: ( code_integer > num ) > code_integer ).

thf(func_def_1355,type,
    sK176: int > int ).

thf(func_def_1356,type,
    sK177: int > ( int > $o ) > int > int ).

thf(func_def_1357,type,
    sK178: int > int > ( int > $o ) > int ).

thf(func_def_1358,type,
    sK179: code_integer > code_integer ).

thf(func_def_1359,type,
    sK180: set_nat > nat ).

thf(func_def_1360,type,
    sK181: nat > nat > nat ).

thf(func_def_1361,type,
    sK182: nat > nat ).

thf(func_def_1362,type,
    sK183: code_integer > code_integer ).

thf(func_def_1363,type,
    sK184: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1364,type,
    sK185: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1365,type,
    sK186: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1366,type,
    sK187: ( int > int > $o ) > int ).

thf(func_def_1367,type,
    sK188: ( int > int > $o ) > int ).

thf(func_def_1368,type,
    sK189: ( int > int > $o ) > int ).

thf(func_def_1369,type,
    sK190: ( int > int > $o ) > int ).

thf(func_def_1370,type,
    sK191: ( int > int > $o ) > int ).

thf(func_def_1371,type,
    sK192: ( nat > int ) > nat ).

thf(func_def_1372,type,
    sK193: ( nat > int ) > nat ).

thf(func_def_1373,type,
    sK194: nat > ( nat > $o ) > nat ).

thf(func_def_1374,type,
    sK195: nat > ( nat > $o ) > nat ).

thf(func_def_1375,type,
    sK196: ( assn > nat ) > assn ).

thf(func_def_1376,type,
    sK197: ( assn > nat ) > assn ).

thf(func_def_1377,type,
    sK198: set_nat > set_nat > nat ).

thf(func_def_1378,type,
    sK199: set_nat > set_nat > nat ).

thf(func_def_1379,type,
    sK200: ( nat > assn ) > nat ).

thf(func_def_1380,type,
    sK201: ( nat > assn ) > nat ).

thf(func_def_1381,type,
    sK202: ( nat > $o ) > nat ).

thf(func_def_1382,type,
    sK203: code_integer > code_integer ).

thf(func_def_1383,type,
    sK204: int > int ).

thf(func_def_1384,type,
    sK205: nat > ( nat > d > $o ) > list_d ).

thf(func_def_1385,type,
    sK206: nat > ( nat > d > $o ) > nat ).

thf(func_def_1386,type,
    sK207: nat > ( nat > d > $o ) > d ).

thf(func_def_1387,type,
    sK208: list_d > nat > ( nat > d > $o ) > nat ).

thf(func_def_1388,type,
    sK209: ( nat > $o ) > nat > nat ).

thf(func_def_1389,type,
    sK210: ( nat > $o ) > nat > nat ).

thf(func_def_1390,type,
    sK211: ( num > code_integer ) > num ).

thf(func_def_1391,type,
    sK212: ( num > code_integer ) > num ).

thf(func_def_1392,type,
    sK213: set_nat > nat ).

thf(func_def_1393,type,
    sK214: nat > nat ).

thf(func_def_1394,type,
    sK215: code_integer > code_integer ).

thf(func_def_1395,type,
    sK216: set_nat > nat ).

thf(func_def_1396,type,
    sK217: ( assn > code_integer ) > assn ).

thf(func_def_1397,type,
    sK218: ( assn > code_integer ) > assn ).

thf(func_def_1398,type,
    sK219: nat > list_c ).

thf(func_def_1399,type,
    sK220: ( assn > nat ) > assn ).

thf(func_def_1400,type,
    sK221: ( assn > nat ) > assn ).

thf(func_def_1401,type,
    sK222: code_integer > code_integer ).

thf(func_def_1402,type,
    sK223: ( assn > code_integer ) > assn ).

thf(func_def_1403,type,
    sK224: ( assn > code_integer ) > assn ).

thf(func_def_1404,type,
    sK225: list_c > list_c > nat ).

thf(func_def_1405,type,
    sK226: nat > nat ).

thf(func_def_1406,type,
    sK227: ( nat > num ) > nat ).

thf(func_def_1407,type,
    sK228: nat > ( nat > $o ) > nat ).

thf(func_def_1408,type,
    sK229: nat > ( nat > $o ) > nat ).

thf(func_def_1409,type,
    sK230: set_nat ).

thf(func_def_1410,type,
    sK231: set_nat ).

thf(func_def_1411,type,
    sK232: set_nat ).

thf(func_def_1412,type,
    sK233: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1413,type,
    sK234: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1414,type,
    sK235: ( nat > $o ) > nat ).

thf(func_def_1415,type,
    sK236: nat > nat ).

thf(func_def_1416,type,
    sK237: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1417,type,
    sK238: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1418,type,
    sK239: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1419,type,
    sK240: ( code_integer > int ) > code_integer ).

thf(func_def_1420,type,
    sK241: ( code_integer > int ) > code_integer ).

thf(func_def_1421,type,
    sK242: ( assn > assn ) > assn ).

thf(func_def_1422,type,
    sK243: ( assn > assn ) > assn ).

thf(func_def_1423,type,
    sK244: ( nat > nat ) > nat ).

thf(func_def_1424,type,
    sK245: ( nat > nat ) > nat ).

thf(func_def_1425,type,
    sK246: code_integer > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1426,type,
    sK247: ( code_integer > $o ) > ( code_integer > $o ) > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1427,type,
    sK248: code_integer > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1428,type,
    sK249: ( assn > assn ) > assn ).

thf(func_def_1429,type,
    sK250: ( assn > assn ) > assn ).

thf(func_def_1430,type,
    sK251: ( assn > int ) > assn ).

thf(func_def_1431,type,
    sK252: ( assn > int ) > assn ).

thf(func_def_1432,type,
    sK253: code_integer > code_integer ).

thf(func_def_1433,type,
    sK254: set_nat > set_nat > set_nat > set_nat ).

thf(func_def_1434,type,
    sK255: set_nat > set_nat > set_nat > set_nat ).

thf(func_def_1435,type,
    sK256: ( code_integer > nat ) > code_integer ).

thf(func_def_1436,type,
    sK257: ( code_integer > nat ) > code_integer ).

thf(func_def_1437,type,
    sK258: nat > nat ).

thf(func_def_1438,type,
    sK259: num > num ).

thf(func_def_1439,type,
    sK260: set_nat > set_nat > nat ).

thf(func_def_1440,type,
    sK261: ( int > assn ) > int ).

thf(func_def_1441,type,
    sK262: ( int > assn ) > int ).

thf(func_def_1442,type,
    sK263: ( nat > int ) > nat ).

thf(func_def_1443,type,
    sK264: ( nat > int ) > nat ).

thf(func_def_1444,type,
    sK265: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1445,type,
    sK266: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1446,type,
    sK267: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1447,type,
    sK268: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1448,type,
    sK269: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1449,type,
    sK270: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1450,type,
    sK271: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_1451,type,
    sK272: nat > ( nat > $o ) > nat ).

thf(func_def_1452,type,
    sK273: nat > ( nat > $o ) > nat ).

thf(func_def_1453,type,
    sK274: ( assn > nat ) > assn ).

thf(func_def_1454,type,
    sK275: ( assn > nat ) > assn ).

thf(func_def_1455,type,
    sK276: ( nat > $o ) > nat ).

thf(func_def_1456,type,
    sK277: ( code_integer > int ) > code_integer ).

thf(func_def_1457,type,
    sK278: ( code_integer > int ) > code_integer ).

thf(func_def_1458,type,
    sK279: ( assn > assn ) > assn ).

thf(func_def_1459,type,
    sK280: ( assn > assn ) > assn ).

thf(func_def_1460,type,
    sK281: nat > nat > ( nat > $o ) > nat ).

thf(func_def_1461,type,
    sK282: nat > nat > ( nat > $o ) > nat ).

thf(func_def_1462,type,
    sK283: ( nat > $o ) > nat > nat ).

thf(func_def_1463,type,
    sK284: ( nat > $o ) > nat > nat ).

thf(func_def_1464,type,
    sK285: nat > ( nat > c > $o ) > c ).

thf(func_def_1465,type,
    sK286: list_c > nat > ( nat > c > $o ) > nat ).

thf(func_def_1466,type,
    sK287: nat > ( nat > c > $o ) > list_c ).

thf(func_def_1467,type,
    sK288: nat > ( nat > c > $o ) > nat ).

thf(func_def_1468,type,
    sK289: ( num > code_integer ) > num ).

thf(func_def_1469,type,
    sK290: ( num > code_integer ) > num ).

thf(func_def_1470,type,
    sK291: ( int > code_integer ) > int ).

thf(func_def_1471,type,
    sK292: ( int > code_integer ) > int ).

thf(func_def_1472,type,
    sK293: nat > nat ).

thf(func_def_1473,type,
    sK294: ( nat > nat ) > nat ).

thf(func_def_1474,type,
    sK295: ( nat > nat ) > nat ).

thf(func_def_1475,type,
    sK296: ( assn > nat ) > assn ).

thf(func_def_1476,type,
    sK297: ( assn > nat ) > assn ).

thf(func_def_1477,type,
    sK298: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1478,type,
    sK299: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1479,type,
    sK300: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1480,type,
    sK301: assn ).

thf(func_def_1481,type,
    sK302: assn ).

thf(func_def_1482,type,
    sK303: assn ).

thf(func_def_1483,type,
    sK304: num > num ).

thf(func_def_1484,type,
    sK305: nat > list_d ).

thf(func_def_1485,type,
    sK306: ( assn > int ) > assn ).

thf(func_def_1486,type,
    sK307: ( assn > int ) > assn ).

thf(func_def_1487,type,
    sK308: nat > nat ).

thf(func_def_1488,type,
    sK309: ( nat > nat ) > nat ).

thf(func_def_1489,type,
    sK310: ( nat > nat ) > nat ).

thf(func_def_1490,type,
    sK311: set_nat > nat ).

thf(func_def_1491,type,
    sK312: ( int > nat ) > int ).

thf(func_def_1492,type,
    sK313: ( int > nat ) > int ).

thf(func_def_1493,type,
    sK314: nat > nat ).

thf(func_def_1494,type,
    sK315: ( code_integer > int ) > code_integer ).

thf(func_def_1495,type,
    sK316: ( code_integer > int ) > code_integer ).

thf(func_def_1496,type,
    sK317: ( assn > code_integer ) > assn ).

thf(func_def_1497,type,
    sK318: ( assn > code_integer ) > assn ).

thf(func_def_1498,type,
    sK319: ( nat > assn ) > nat ).

thf(func_def_1499,type,
    sK320: ( nat > assn ) > nat ).

thf(func_def_1500,type,
    sK321: ( assn > code_integer ) > assn ).

thf(func_def_1501,type,
    sK322: ( assn > code_integer ) > assn ).

thf(func_def_1502,type,
    sK323: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1503,type,
    sK324: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1504,type,
    sK325: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1505,type,
    sK326: ( assn > code_integer ) > assn ).

thf(func_def_1506,type,
    sK327: ( assn > code_integer ) > assn ).

thf(func_def_1507,type,
    sK328: code_integer > code_integer ).

thf(func_def_1508,type,
    sK329: ( assn > assn ) > assn ).

thf(func_def_1509,type,
    sK330: ( assn > assn ) > assn ).

thf(func_def_1510,type,
    sK331: nat > nat > ( nat > $o ) > nat ).

thf(func_def_1511,type,
    sK332: ( assn > nat ) > assn ).

thf(func_def_1512,type,
    sK333: ( assn > nat ) > assn ).

thf(func_def_1513,type,
    sK334: ( nat > $o ) > nat > nat ).

thf(func_def_1514,type,
    sK335: ( num > assn ) > num ).

thf(func_def_1515,type,
    sK336: ( num > assn ) > num ).

thf(func_def_1516,type,
    sK337: ( nat > int ) > nat ).

thf(func_def_1517,type,
    sK338: ( nat > int ) > nat ).

thf(func_def_1518,type,
    sK339: ( code_integer > nat ) > code_integer ).

thf(func_def_1519,type,
    sK340: ( code_integer > nat ) > code_integer ).

thf(func_def_1520,type,
    sK341: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1521,type,
    sK342: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1522,type,
    sK343: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1523,type,
    sK344: set_nat > set_nat > nat ).

thf(func_def_1524,type,
    sK345: nat > nat > nat ).

thf(func_def_1525,type,
    sK346: ( list_d > $o ) > list_d ).

thf(func_def_1526,type,
    sK347: ( nat > assn ) > nat ).

thf(func_def_1527,type,
    sK348: ( nat > assn ) > nat ).

thf(func_def_1528,type,
    sK349: ( int > nat ) > int ).

thf(func_def_1529,type,
    sK350: ( int > nat ) > int ).

thf(func_def_1530,type,
    sK351: ( assn > nat ) > assn ).

thf(func_def_1531,type,
    sK352: ( assn > nat ) > assn ).

thf(func_def_1532,type,
    sK353: code_integer > code_integer ).

thf(func_def_1533,type,
    sK354: nat > nat ).

thf(func_def_1534,type,
    sK355: ( nat > code_integer ) > nat ).

thf(func_def_1535,type,
    sK356: ( nat > code_integer ) > nat ).

thf(func_def_1536,type,
    sK357: nat > set_nat > nat > set_nat > set_nat ).

thf(func_def_1537,type,
    sK358: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1538,type,
    sK359: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1539,type,
    sK360: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1540,type,
    sK361: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1541,type,
    sK362: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1542,type,
    sK363: ( nat > int ) > nat ).

thf(func_def_1543,type,
    sK364: code_integer > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1544,type,
    sK365: code_integer > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1545,type,
    sK366: ( code_integer > $o ) > ( code_integer > $o ) > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1546,type,
    sK367: ( nat > code_integer ) > nat ).

thf(func_def_1547,type,
    sK368: ( nat > code_integer ) > nat ).

thf(func_def_1548,type,
    sK369: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1549,type,
    sK370: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1550,type,
    sK371: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1551,type,
    sK372: ( nat > code_integer ) > nat ).

thf(func_def_1552,type,
    sK373: ( assn > int ) > assn ).

thf(func_def_1553,type,
    sK374: ( assn > int ) > assn ).

thf(func_def_1554,type,
    sK375: nat > nat ).

thf(func_def_1555,type,
    sK376: ( code_integer > assn ) > code_integer ).

thf(func_def_1556,type,
    sK377: ( code_integer > assn ) > code_integer ).

thf(func_def_1557,type,
    sK378: ( nat > int ) > nat ).

thf(func_def_1558,type,
    sK379: ( nat > assn ) > nat ).

thf(func_def_1559,type,
    sK380: ( nat > assn ) > nat ).

thf(func_def_1560,type,
    sK381: ( assn > code_integer ) > assn ).

thf(func_def_1561,type,
    sK382: ( assn > code_integer ) > assn ).

thf(func_def_1562,type,
    sK383: code_integer > code_integer ).

thf(func_def_1563,type,
    sK384: ( int > nat ) > int ).

thf(func_def_1564,type,
    sK385: ( int > nat ) > int ).

thf(func_def_1565,type,
    sK386: ( int > int > $o ) > int ).

thf(func_def_1566,type,
    sK387: ( int > int > $o ) > int ).

thf(func_def_1567,type,
    sK388: ( int > int > $o ) > int ).

thf(func_def_1568,type,
    sK389: ( int > int > $o ) > int ).

thf(func_def_1569,type,
    sK390: set_nat > set_nat > nat ).

thf(func_def_1570,type,
    sK391: ( nat > code_integer ) > nat ).

thf(func_def_1571,type,
    sK392: ( nat > code_integer ) > nat ).

thf(func_def_1572,type,
    sK393: ( nat > assn ) > nat ).

thf(func_def_1573,type,
    sK394: set_nat > nat ).

thf(func_def_1574,type,
    sK395: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1575,type,
    sK396: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1576,type,
    sK397: ( assn > code_integer ) > assn ).

thf(func_def_1577,type,
    sK398: ( assn > code_integer ) > assn ).

thf(func_def_1578,type,
    sK399: ( code_integer > num ) > code_integer ).

thf(func_def_1579,type,
    sK400: ( code_integer > num ) > code_integer ).

thf(func_def_1580,type,
    sK401: ( c > nat > $o ) > nat > list_c ).

thf(func_def_1581,type,
    sK402: ( c > nat > $o ) > nat > nat ).

thf(func_def_1582,type,
    sK403: ( int > nat ) > int ).

thf(func_def_1583,type,
    sK404: ( int > nat ) > int ).

thf(func_def_1584,type,
    sK405: ( assn > assn > assn ) > assn ).

thf(func_def_1585,type,
    sK406: ( assn > assn > assn ) > assn ).

thf(func_def_1586,type,
    sK407: ( assn > assn > assn ) > assn ).

thf(func_def_1587,type,
    sK408: ( assn > assn > assn ) > assn ).

thf(func_def_1588,type,
    sK409: ( assn > assn > assn ) > assn ).

thf(func_def_1589,type,
    sK410: ( assn > assn > assn ) > assn ).

thf(func_def_1590,type,
    sK411: ( assn > assn > assn ) > assn ).

thf(func_def_1591,type,
    sK412: ( assn > int ) > assn ).

thf(func_def_1592,type,
    sK413: ( assn > int ) > assn ).

thf(func_def_1593,type,
    sK414: int > int ).

thf(func_def_1594,type,
    sK415: ( int > assn ) > int ).

thf(func_def_1595,type,
    sK416: ( int > assn ) > int ).

thf(func_def_1596,type,
    sK417: num > num ).

thf(func_def_1597,type,
    sK418: ( code_integer > $o ) > ( code_integer > $o ) > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1598,type,
    sK419: code_integer > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1599,type,
    sK420: code_integer > ( code_integer > $o ) > ( code_integer > $o ) > code_integer ).

thf(func_def_1600,type,
    sK421: int > int ).

thf(func_def_1601,type,
    sK422: ( assn > num ) > assn ).

thf(func_def_1602,type,
    sK423: ( assn > num ) > assn ).

thf(func_def_1603,type,
    sK424: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1604,type,
    sK425: assn ).

thf(func_def_1605,type,
    sK426: assn ).

thf(func_def_1606,type,
    sK427: assn ).

thf(func_def_1607,type,
    sK428: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1608,type,
    sK429: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1609,type,
    sK430: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1610,type,
    sK431: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1611,type,
    sK432: ( code_integer > code_integer ) > code_integer ).

thf(func_def_1612,type,
    sK433: int > int ).

thf(func_def_1613,type,
    sK434: int > int ).

thf(func_def_1614,type,
    sK435: ( int > code_integer ) > int ).

thf(func_def_1615,type,
    sK436: ( int > code_integer ) > int ).

thf(func_def_1616,type,
    sK437: code_integer > code_integer ).

thf(func_def_1617,type,
    sK438: nat > nat ).

thf(func_def_1618,type,
    sK439: ( assn > int ) > assn ).

thf(func_def_1619,type,
    sK440: ( assn > int ) > assn ).

thf(func_def_1620,type,
    sK441: ( nat > int ) > nat ).

thf(func_def_1621,type,
    sK442: ( nat > int ) > nat ).

thf(func_def_1622,type,
    sK443: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1623,type,
    sK444: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1624,type,
    sK445: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1625,type,
    sK446: ( assn > assn ) > assn ).

thf(func_def_1626,type,
    sK447: ( assn > assn ) > assn ).

thf(func_def_1627,type,
    sK448: ( nat > $o ) > nat ).

thf(func_def_1628,type,
    sK449: set_nat ).

thf(func_def_1629,type,
    sK450: set_nat ).

thf(func_def_1630,type,
    sK451: set_nat ).

thf(func_def_1631,type,
    sK452: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1632,type,
    sK453: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1633,type,
    sK454: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1634,type,
    sK455: ( assn > assn ) > assn ).

thf(func_def_1635,type,
    sK456: ( assn > assn ) > assn ).

thf(func_def_1636,type,
    sK457: int > int ).

thf(f2,axiom,
    entails @ p @ bot_bot_assn,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062) ).

thf(f2598,axiom,
    ! [X0: assn] :
      ( ( sup_sup_assn @ bot_bot_assn @ X0 )
      = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2597_sup__bot_Oleft__neutral) ).

thf(f3590,axiom,
    ! [X1: assn,X2: assn,X0: assn] :
      ( ( entails @ X0 @ X1 )
     => ( entails @ X0 @ ( sup_sup_assn @ X1 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3589_ent__disjI1_H) ).

thf(f5787,conjecture,
    entails @ p @ q,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f5788,negated_conjecture,
    ~ ( entails @ p @ q ),
    inference(negated_conjecture,[status(cth)],[f5787]) ).

thf(f5938,plain,
    ! [X0: assn] :
      ( ( sup_sup_assn @ bot_bot_assn @ X0 )
      = X0 ),
    inference(fool_elimination,[],[f2598]) ).

thf(f7583,plain,
    ! [X0: assn,X1: assn,X2: assn] :
      ( ( entails @ X2 @ X0 )
     => ( entails @ X2 @ ( sup_sup_assn @ X0 @ X1 ) ) ),
    inference(rectify,[],[f3590]) ).

thf(f7584,plain,
    ! [X0: assn,X2: assn,X1: assn] :
      ( ( ( entails @ X2 @ X0 )
        = $true )
     => ( $true
        = ( entails @ X2 @ ( sup_sup_assn @ X0 @ X1 ) ) ) ),
    inference(fool_elimination,[],[f7583]) ).

thf(f7958,plain,
    entails @ p @ bot_bot_assn,
    inference(rectify,[],[f2]) ).

thf(f7959,plain,
    ( ( entails @ p @ bot_bot_assn )
    = $true ),
    inference(fool_elimination,[],[f7958]) ).

thf(f8030,plain,
    ~ ( entails @ p @ q ),
    inference(rectify,[],[f5788]) ).

thf(f8031,plain,
    ( ( entails @ p @ q )
   != $true ),
    inference(fool_elimination,[],[f8030]) ).

thf(f16297,plain,
    ( ( entails @ p @ q )
   != $true ),
    inference(flattening,[],[f8031]) ).

thf(f16999,plain,
    ! [X1: assn,X0: assn,X2: assn] :
      ( ( $true
        = ( entails @ X2 @ ( sup_sup_assn @ X0 @ X1 ) ) )
      | ( ( entails @ X2 @ X0 )
       != $true ) ),
    inference(ennf_transformation,[],[f7584]) ).

thf(f17472,plain,
    ! [X0: assn,X1: assn,X2: assn] :
      ( ( $true
        = ( entails @ X2 @ ( sup_sup_assn @ X1 @ X0 ) ) )
      | ( ( entails @ X2 @ X1 )
       != $true ) ),
    inference(rectify,[],[f16999]) ).

thf(f18528,plain,
    ! [X2: assn,X0: assn,X1: assn] :
      ( ( ( entails @ X2 @ X1 )
       != $true )
      | ( $true
        = ( entails @ X2 @ ( sup_sup_assn @ X1 @ X0 ) ) ) ),
    inference(cnf_transformation,[],[f17472]) ).

thf(f19007,plain,
    ( ( entails @ p @ q )
   != $true ),
    inference(cnf_transformation,[],[f16297]) ).

thf(f19140,plain,
    ! [X0: assn] :
      ( ( sup_sup_assn @ bot_bot_assn @ X0 )
      = X0 ),
    inference(cnf_transformation,[],[f5938]) ).

thf(f19794,plain,
    ( ( entails @ p @ bot_bot_assn )
    = $true ),
    inference(cnf_transformation,[],[f7959]) ).

thf(f20739,definition,
    ( spl458_15
  <=> ( ( entails @ p @ bot_bot_assn )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl458_15])],[avatar_definition]) ).

thf(f20741,plain,
    ( ( ( entails @ p @ bot_bot_assn )
      = $true )
    | ~ spl458_15 ),
    inference(avatar_component_clause,[],[f20739]) ).

thf(f20742,plain,
    spl458_15,
    inference(avatar_split_clause,[],[f19794,f20739]) ).

thf(f20862,definition,
    ( spl458_41
  <=> ( ( entails @ p @ q )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl458_41])],[avatar_definition]) ).

thf(f20864,plain,
    ( ( ( entails @ p @ q )
     != $true )
    | spl458_41 ),
    inference(avatar_component_clause,[],[f20862]) ).

thf(f20865,plain,
    ~ spl458_41,
    inference(avatar_split_clause,[],[f19007,f20862]) ).

thf(f20911,plain,
    ( ! [X0: assn] :
        ( ( ( entails @ p @ ( sup_sup_assn @ bot_bot_assn @ X0 ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl458_15 ),
    inference(superposition,[],[f18528,f20741]) ).

thf(f20913,plain,
    ( ! [X0: assn] :
        ( ( entails @ p @ ( sup_sup_assn @ bot_bot_assn @ X0 ) )
        = $true )
    | ~ spl458_15 ),
    inference(trivial_inequality_removal,[],[f20911]) ).

thf(f21171,plain,
    ( ! [X0: assn] :
        ( $true
        = ( entails @ p @ X0 ) )
    | ~ spl458_15 ),
    inference(forward_demodulation,[],[f20913,f19140]) ).

thf(f21172,plain,
    ( ( $true != $true )
    | ~ spl458_15
    | spl458_41 ),
    inference(superposition,[],[f20864,f21171]) ).

thf(f21185,plain,
    ( $false
    | ~ spl458_15
    | spl458_41 ),
    inference(trivial_inequality_removal,[],[f21172]) ).

thf(f21186,plain,
    ( ~ spl458_15
    | spl458_41 ),
    inference(avatar_contradiction_clause,[],[f21185]) ).

cnf(s19,plain,
    spl458_15,
    inference(sat_conversion,[],[f20742]) ).

cnf(s63,plain,
    ~ spl458_41,
    inference(sat_conversion,[],[f20865]) ).

cnf(s98,plain,
    ( ~ spl458_15
    | spl458_41 ),
    inference(sat_conversion,[],[f21186]) ).

cnf(s100,plain,
    ~ spl458_15,
    inference(rat,[],[s98,s63]) ).

cnf(s101,plain,
    $false,
    inference(rat,[],[s19,s100]) ).

thf(f21197,plain,
    $false,
    inference(avatar_sat_refutation,[],[s101]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP219^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n009.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Tue Sep 29 20:18:30 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24  Running higher-order theorem proving
% 2.27/2.38  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.35/2.85  % (305193)Detected a higher-order problem, will run a greedy HOL sequence.
% 2.35/2.85  % (305198)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=463112296:s2a=on:i=87:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/87Mi)
% 2.35/2.85  % (305204)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 2.35/2.85  % (305204)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
% 2.35/2.85  % (305199)lrs+10_16_si=on:nwc=1.5:random_seed=2152349317:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/18Mi)
% 2.35/2.85  % (305200)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1213864855:i=3:rtra=on:inj=on:ntd=on_2996 on theBenchmark for (2996ds/3Mi)
% 2.35/2.85  % (305201)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=1893275955: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_2996 on theBenchmark for (2996ds/634Mi)
% 2.35/2.85  % (305202)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3707994684:i=24:av=off:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 2.35/2.85  % (305204)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=1308546720:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2996 on theBenchmark for (2996ds/157Mi)
% 2.35/2.85  % (305203)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2207255674:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/75Mi)
% 2.35/2.85  % (305200)Instruction limit reached! 
% 2.35/2.85  % (305200)------------------------------
% 2.35/2.85  % (305200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.85  % (305200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.85  % (305200)CaDiCaL version: 2.1.3
% 2.35/2.85  % (305200)Termination reason: Instruction limit
% 2.35/2.85  % (305200)Termination phase: shuffling
% 2.35/2.85  % (305200)Time elapsed: 0.004 s
% 2.35/2.85  % (305200)Peak memory usage: 19 MB
% 2.35/2.85  % (305200)Instructions burned: 3 (million)
% 2.35/2.85  % (305199)Instruction limit reached! 
% 2.35/2.85  % (305199)------------------------------
% 2.35/2.85  % (305199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.85  % (305199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.85  % (305199)CaDiCaL version: 2.1.3
% 2.35/2.85  % (305199)Termination reason: Instruction limit
% 2.35/2.85  % (305199)Termination phase: shuffling
% 2.35/2.85  % (305199)Time elapsed: 0.016 s
% 2.35/2.85  % (305199)Peak memory usage: 20 MB
% 2.35/2.85  % (305199)Instructions burned: 19 (million)
% 2.35/2.85  % (305202)Instruction limit reached! 
% 2.35/2.85  % (305202)------------------------------
% 2.35/2.85  % (305202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.85  % (305202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.85  % (305202)CaDiCaL version: 2.1.3
% 2.35/2.85  % (305202)Termination reason: Instruction limit
% 2.35/2.85  % (305202)Termination phase: shuffling
% 2.35/2.85  % (305202)Time elapsed: 0.017 s
% 2.35/2.85  % (305202)Peak memory usage: 20 MB
% 2.35/2.85  % (305202)Instructions burned: 24 (million)
% 2.35/2.85  % (305198)Instruction limit reached! 
% 2.35/2.85  % (305198)------------------------------
% 2.35/2.85  % (305198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.85  % (305198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.85  % (305198)CaDiCaL version: 2.1.3
% 2.35/2.85  % (305198)Termination reason: Instruction limit
% 2.35/2.85  % (305198)Termination phase: shuffling
% 2.35/2.85  % (305198)Time elapsed: 0.028 s
% 2.35/2.85  % (305198)Peak memory usage: 21 MB
% 2.35/2.85  % (305198)Instructions burned: 88 (million)
% 2.35/2.85  % (305212)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2967521693:i=2:hud=10:rtra=on_2996 on theBenchmark for (2996ds/2Mi)
% 2.35/2.85  % (305212)Instruction limit reached! 
% 2.35/2.85  % (305212)------------------------------
% 2.35/2.85  % (305212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.85  % (305212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.89  % (305212)CaDiCaL version: 2.1.3
% 2.35/2.89  % (305212)Termination reason: Instruction limit
% 2.35/2.89  % (305212)Termination phase: shuffling
% 2.35/2.89  % (305212)Time elapsed: 0.003 s
% 2.35/2.89  % (305212)Peak memory usage: 19 MB
% 2.35/2.89  % (305212)Instructions burned: 2 (million)
% 2.35/2.89  % (305215)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1245643732:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/12Mi)
% 2.35/2.89  % (305214)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.35/2.89  % (305213)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2895292581:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/5Mi)
% 2.35/2.89  % (305214)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3055527884:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.35/2.89  % (305203)Instruction limit reached! 
% 2.35/2.89  % (305203)------------------------------
% 2.35/2.89  % (305203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.89  % (305203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.89  % (305203)CaDiCaL version: 2.1.3
% 2.35/2.89  % (305203)Termination reason: Instruction limit
% 2.35/2.89  % (305203)Termination phase: shuffling
% 2.35/2.89  % (305203)Time elapsed: 0.040 s
% 2.35/2.89  % (305203)Peak memory usage: 21 MB
% 2.35/2.89  % (305203)Instructions burned: 77 (million)
% 2.35/2.89  % (305215)Instruction limit reached! 
% 2.35/2.89  % (305215)------------------------------
% 2.35/2.89  % (305215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.89  % (305215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.89  % (305215)CaDiCaL version: 2.1.3
% 2.35/2.89  % (305215)Termination reason: Instruction limit
% 2.35/2.89  % (305215)Termination phase: shuffling
% 2.35/2.89  % (305215)Time elapsed: 0.008 s
% 2.35/2.89  % (305215)Peak memory usage: 20 MB
% 2.35/2.89  % (305215)Instructions burned: 15 (million)
% 2.35/2.89  % (305213)Instruction limit reached! 
% 2.35/2.89  % (305213)------------------------------
% 2.35/2.89  % (305213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.89  % (305213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.89  % (305213)CaDiCaL version: 2.1.3
% 2.35/2.89  % (305213)Termination reason: Instruction limit
% 2.35/2.89  % (305213)Termination phase: shuffling
% 2.35/2.89  % (305213)Time elapsed: 0.010 s
% 2.35/2.89  % (305213)Peak memory usage: 20 MB
% 2.35/2.89  % (305213)Instructions burned: 8 (million)
% 2.35/2.89  % (305218)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
% 2.35/2.89  % (305218)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.35/2.89  % (305214)Instruction limit reached! 
% 2.35/2.89  % (305214)------------------------------
% 2.35/2.89  % (305214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.89  % (305214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.89  % (305214)CaDiCaL version: 2.1.3
% 2.35/2.89  % (305214)Termination reason: Instruction limit
% 2.35/2.89  % (305214)Termination phase: shuffling
% 2.35/2.89  % (305214)Time elapsed: 0.010 s
% 2.35/2.89  % (305214)Peak memory usage: 20 MB
% 2.35/2.89  % (305214)Instructions burned: 8 (million)
% 2.35/2.89  % (305218)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=471902945:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2996 on theBenchmark for (2996ds/28Mi)
% 2.35/2.89  % (305221)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=2942455587:i=86:piset=equals:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/86Mi)
% 2.35/2.89  % (305223)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 2.35/2.89  % (305222)lrs+10_1_si=on:cs=on:random_seed=1798631840:i=8:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/8Mi)
% 2.35/2.93  % (305223)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=1492944284:i=2:add=on:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 2.35/2.93  % (305224)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2444095587:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/38Mi)
% 2.35/2.93  % (305223)Instruction limit reached! 
% 2.35/2.93  % (305223)------------------------------
% 2.35/2.93  % (305223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.93  % (305223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.93  % (305223)CaDiCaL version: 2.1.3
% 2.35/2.93  % (305223)Termination reason: Instruction limit
% 2.35/2.93  % (305223)Termination phase: shuffling
% 2.35/2.93  % (305223)Time elapsed: 0.004 s
% 2.35/2.93  % (305223)Peak memory usage: 19 MB
% 2.35/2.93  % (305223)Instructions burned: 2 (million)
% 2.35/2.93  % (305218)Instruction limit reached! 
% 2.35/2.93  % (305218)------------------------------
% 2.35/2.93  % (305218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.93  % (305218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.93  % (305218)CaDiCaL version: 2.1.3
% 2.35/2.93  % (305218)Termination reason: Instruction limit
% 2.35/2.93  % (305218)Termination phase: shuffling
% 2.35/2.93  % (305218)Time elapsed: 0.019 s
% 2.35/2.93  % (305218)Peak memory usage: 20 MB
% 2.35/2.93  % (305218)Instructions burned: 29 (million)
% 2.35/2.93  % (305222)Instruction limit reached! 
% 2.35/2.93  % (305222)------------------------------
% 2.35/2.93  % (305222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.93  % (305222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.93  % (305222)CaDiCaL version: 2.1.3
% 2.35/2.93  % (305222)Termination reason: Instruction limit
% 2.35/2.93  % (305222)Termination phase: shuffling
% 2.35/2.93  % (305222)Time elapsed: 0.010 s
% 2.35/2.93  % (305222)Peak memory usage: 20 MB
% 2.35/2.93  % (305222)Instructions burned: 9 (million)
% 2.35/2.93  % (305204)Instruction limit reached! 
% 2.35/2.93  % (305204)------------------------------
% 2.35/2.93  % (305204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.93  % (305204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.93  % (305204)CaDiCaL version: 2.1.3
% 2.35/2.93  % (305204)Termination reason: Instruction limit
% 2.35/2.93  % (305204)Termination phase: shuffling
% 2.35/2.93  % (305204)Time elapsed: 0.077 s
% 2.35/2.93  % (305204)Peak memory usage: 22 MB
% 2.35/2.93  % (305204)Instructions burned: 159 (million)
% 2.35/2.93  % (305221)Instruction limit reached! 
% 2.35/2.93  % (305221)------------------------------
% 2.35/2.93  % (305221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.93  % (305221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.93  % (305221)CaDiCaL version: 2.1.3
% 2.35/2.93  % (305221)Termination reason: Instruction limit
% 2.35/2.93  % (305221)Termination phase: shuffling
% 2.35/2.93  % (305221)Time elapsed: 0.025 s
% 2.35/2.93  % (305221)Peak memory usage: 21 MB
% 2.35/2.93  % (305221)Instructions burned: 89 (million)
% 2.35/2.93  % (305234)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2962141850:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/14Mi)
% 2.35/2.93  % (305230)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2514836854:st=2:i=249:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/249Mi)
% 2.35/2.93  % (305231)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1504173625:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/25Mi)
% 2.35/2.93  % (305232)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4032520058:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2995 on theBenchmark for (2995ds/14Mi)
% 2.35/2.93  % (305224)Instruction limit reached! 
% 2.35/2.93  % (305224)------------------------------
% 2.35/2.93  % (305224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/2.93  % (305224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/2.93  % (305224)CaDiCaL version: 2.1.3
% 2.35/2.93  % (305224)Termination reason: Instruction limit
% 2.35/2.93  % (305224)Termination phase: shuffling
% 2.35/2.93  % (305224)Time elapsed: 0.024 s
% 2.35/3.00  % (305224)Peak memory usage: 20 MB
% 2.35/3.00  % (305224)Instructions burned: 38 (million)
% 2.35/3.00  % (305233)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1244313639:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/327Mi)
% 2.35/3.00  % (305234)Instruction limit reached! 
% 2.35/3.00  % (305234)------------------------------
% 2.35/3.00  % (305234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/3.00  % (305234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/3.00  % (305234)CaDiCaL version: 2.1.3
% 2.35/3.00  % (305234)Termination reason: Instruction limit
% 2.35/3.00  % (305234)Termination phase: shuffling
% 2.35/3.00  % (305234)Time elapsed: 0.008 s
% 2.35/3.00  % (305234)Peak memory usage: 20 MB
% 2.35/3.00  % (305234)Instructions burned: 16 (million)
% 2.35/3.00  % (305232)Instruction limit reached! 
% 2.35/3.00  % (305232)------------------------------
% 2.35/3.00  % (305232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/3.00  % (305232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/3.00  % (305232)CaDiCaL version: 2.1.3
% 2.35/3.00  % (305232)Termination reason: Instruction limit
% 2.35/3.00  % (305232)Termination phase: shuffling
% 2.35/3.00  % (305232)Time elapsed: 0.013 s
% 2.35/3.00  % (305232)Peak memory usage: 20 MB
% 2.35/3.00  % (305232)Instructions burned: 16 (million)
% 2.35/3.00  % (305231)Instruction limit reached! 
% 2.35/3.00  % (305231)------------------------------
% 2.35/3.00  % (305231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/3.00  % (305231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/3.00  % (305231)CaDiCaL version: 2.1.3
% 2.35/3.00  % (305231)Termination reason: Instruction limit
% 2.35/3.00  % (305231)Termination phase: shuffling
% 2.35/3.00  % (305231)Time elapsed: 0.018 s
% 2.35/3.00  % (305231)Peak memory usage: 20 MB
% 2.35/3.00  % (305231)Instructions burned: 27 (million)
% 2.35/3.00  % (305241)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2727158725:i=26:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/26Mi)
% 2.35/3.00  % (305239)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3694777766:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2995 on theBenchmark for (2995ds/2Mi)
% 2.35/3.00  % (305239)Instruction limit reached! 
% 2.35/3.00  % (305239)------------------------------
% 2.35/3.00  % (305239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/3.00  % (305239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/3.00  % (305239)CaDiCaL version: 2.1.3
% 2.35/3.00  % (305239)Termination reason: Instruction limit
% 2.35/3.00  % (305239)Termination phase: shuffling
% 2.35/3.00  % (305239)Time elapsed: 0.004 s
% 2.35/3.00  % (305239)Peak memory usage: 19 MB
% 2.35/3.00  % (305239)Instructions burned: 2 (million)
% 2.35/3.00  % (305241)Instruction limit reached! 
% 2.35/3.00  % (305241)------------------------------
% 2.35/3.00  % (305241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/3.00  % (305241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/3.00  % (305241)CaDiCaL version: 2.1.3
% 2.35/3.00  % (305241)Termination reason: Instruction limit
% 2.35/3.00  % (305241)Termination phase: shuffling
% 2.35/3.00  % (305241)Time elapsed: 0.011 s
% 2.35/3.00  % (305241)Peak memory usage: 20 MB
% 2.35/3.00  % (305241)Instructions burned: 28 (million)
% 2.35/3.00  % (305242)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3738995491:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/23Mi)
% 2.35/3.00  % (305247)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.35/3.00  % (305244)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3512064808:cond=on:i=60:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/60Mi)
% 2.35/3.00  % (305247)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=1897157159:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2995 on theBenchmark for (2995ds/8Mi)
% 2.35/3.00  % (305246)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
% 2.35/3.05  % (305246)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.35/3.05  % (305247)Instruction limit reached! 
% 2.35/3.05  % (305247)------------------------------
% 2.35/3.05  % (305247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/3.05  % (305247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/3.05  % (305247)CaDiCaL version: 2.1.3
% 2.35/3.05  % (305247)Termination reason: Instruction limit
% 2.35/3.05  % (305247)Termination phase: shuffling
% 2.35/3.05  % (305247)Time elapsed: 0.006 s
% 2.35/3.05  % (305247)Peak memory usage: 20 MB
% 2.35/3.05  % (305247)Instructions burned: 10 (million)
% 2.35/3.05  % (305246)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=1703945441:i=14:add=off:nm=40:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/14Mi)
% 2.35/3.05  % (305242)Instruction limit reached! 
% 2.35/3.05  % (305242)------------------------------
% 2.35/3.05  % (305242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/3.05  % (305242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/3.05  % (305242)CaDiCaL version: 2.1.3
% 2.35/3.05  % (305242)Termination reason: Instruction limit
% 2.35/3.05  % (305242)Termination phase: shuffling
% 2.35/3.05  % (305242)Time elapsed: 0.017 s
% 2.35/3.05  % (305242)Peak memory usage: 20 MB
% 2.35/3.05  % (305242)Instructions burned: 24 (million)
% 2.35/3.05  % (305252)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=1901026223:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2994 on theBenchmark for (2994ds/31Mi)
% 2.35/3.05  % (305246)Instruction limit reached! 
% 2.35/3.05  % (305246)------------------------------
% 2.35/3.05  % (305246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/3.05  % (305246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/3.05  % (305246)CaDiCaL version: 2.1.3
% 2.35/3.05  % (305246)Termination reason: Instruction limit
% 2.35/3.05  % (305246)Termination phase: shuffling
% 2.35/3.05  % (305246)Time elapsed: 0.018 s
% 2.35/3.05  % (305246)Peak memory usage: 20 MB
% 2.35/3.05  % (305246)Instructions burned: 14 (million)
% 2.35/3.05  % (305252)Instruction limit reached! 
% 2.35/3.05  % (305252)------------------------------
% 2.35/3.05  % (305252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/3.05  % (305252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/3.05  % (305252)CaDiCaL version: 2.1.3
% 2.35/3.05  % (305252)Termination reason: Instruction limit
% 2.35/3.05  % (305252)Termination phase: shuffling
% 2.35/3.05  % (305252)Time elapsed: 0.012 s
% 2.35/3.05  % (305252)Peak memory usage: 20 MB
% 2.35/3.05  % (305252)Instructions burned: 34 (million)
% 2.35/3.05  % (305244)Instruction limit reached! 
% 2.35/3.05  % (305244)------------------------------
% 2.35/3.05  % (305244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/3.05  % (305244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/3.05  % (305244)CaDiCaL version: 2.1.3
% 2.35/3.05  % (305244)Termination reason: Instruction limit
% 2.35/3.05  % (305244)Termination phase: shuffling
% 2.35/3.05  % (305244)Time elapsed: 0.033 s
% 2.35/3.05  % (305244)Peak memory usage: 20 MB
% 2.35/3.05  % (305244)Instructions burned: 61 (million)
% 2.35/3.05  % (305253)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4258239287:i=7:hud=5:bd=preordered:rtra=on:bet=on_2994 on theBenchmark for (2994ds/7Mi)
% 2.35/3.05  % (305256)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3479721652:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/20Mi)
% 2.35/3.05  % (305253)Instruction limit reached! 
% 2.35/3.05  % (305253)------------------------------
% 2.35/3.05  % (305253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/3.05  % (305253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/3.05  % (305253)CaDiCaL version: 2.1.3
% 2.35/3.05  % (305253)Termination reason: Instruction limit
% 2.35/3.05  % (305253)Termination phase: shuffling
% 2.35/3.05  % (305253)Time elapsed: 0.010 s
% 2.35/3.05  % (305253)Peak memory usage: 20 MB
% 2.35/3.05  % (305253)Instructions burned: 8 (million)
% 2.35/3.05  % (305255)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=993514238:i=23:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/23Mi)
% 4.87/3.13  % (305256)Instruction limit reached! 
% 4.87/3.13  % (305256)------------------------------
% 4.87/3.13  % (305256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.87/3.13  % (305256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/3.13  % (305256)CaDiCaL version: 2.1.3
% 4.87/3.13  % (305256)Termination reason: Instruction limit
% 4.87/3.13  % (305256)Termination phase: shuffling
% 4.87/3.13  % (305256)Time elapsed: 0.009 s
% 4.87/3.13  % (305257)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2460478628:i=1240:rtra=on:ixr=off_2994 on theBenchmark for (2994ds/1240Mi)
% 4.87/3.13  % (305256)Peak memory usage: 20 MB
% 4.87/3.13  % (305256)Instructions burned: 22 (million)
% 4.87/3.13  % (305255)Instruction limit reached! 
% 4.87/3.13  % (305255)------------------------------
% 4.87/3.13  % (305255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.87/3.13  % (305255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/3.13  % (305255)CaDiCaL version: 2.1.3
% 4.87/3.13  % (305255)Termination reason: Instruction limit
% 4.87/3.13  % (305255)Termination phase: shuffling
% 4.87/3.13  % (305255)Time elapsed: 0.017 s
% 4.87/3.13  % (305255)Peak memory usage: 20 MB
% 4.87/3.13  % (305255)Instructions burned: 24 (million)
% 4.87/3.13  % (305263)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3260780820:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/193Mi)
% 4.87/3.13  % (305261)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3651263783:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/143Mi)
% 4.87/3.13  % (305230)Instruction limit reached! 
% 4.87/3.13  % (305230)------------------------------
% 4.87/3.13  % (305230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.87/3.13  % (305230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/3.13  % (305230)CaDiCaL version: 2.1.3
% 4.87/3.13  % (305230)Termination reason: Instruction limit
% 4.87/3.13  % (305230)Termination phase: shuffling
% 4.87/3.13  % (305230)Time elapsed: 0.116 s
% 4.87/3.13  % (305230)Peak memory usage: 24 MB
% 4.87/3.13  % (305230)Instructions burned: 250 (million)
% 4.87/3.13  % (305265)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3352117208:i=42:hud=10:rtra=on_2994 on theBenchmark for (2994ds/42Mi)
% 4.87/3.13  % (305267)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.87/3.13  % (305267)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1074202047:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2994 on theBenchmark for (2994ds/7Mi)
% 4.87/3.13  % (305267)Instruction limit reached! 
% 4.87/3.13  % (305267)------------------------------
% 4.87/3.13  % (305267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.87/3.13  % (305267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/3.13  % (305267)CaDiCaL version: 2.1.3
% 4.87/3.13  % (305267)Termination reason: Instruction limit
% 4.87/3.13  % (305267)Termination phase: shuffling
% 4.87/3.13  % (305267)Time elapsed: 0.010 s
% 4.87/3.13  % (305267)Peak memory usage: 20 MB
% 4.87/3.13  % (305267)Instructions burned: 7 (million)
% 4.87/3.13  % (305265)Instruction limit reached! 
% 4.87/3.13  % (305265)------------------------------
% 4.87/3.13  % (305265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.87/3.13  % (305265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/3.13  % (305265)CaDiCaL version: 2.1.3
% 4.87/3.13  % (305265)Termination reason: Instruction limit
% 4.87/3.13  % (305265)Termination phase: shuffling
% 4.87/3.13  % (305265)Time elapsed: 0.025 s
% 4.87/3.13  % (305265)Peak memory usage: 20 MB
% 4.87/3.13  % (305265)Instructions burned: 43 (million)
% 4.87/3.13  % (305263)Instruction limit reached! 
% 4.87/3.13  % (305263)------------------------------
% 4.87/3.13  % (305263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.87/3.13  % (305263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/3.13  % (305263)CaDiCaL version: 2.1.3
% 4.87/3.13  % (305263)Termination reason: Instruction limit
% 4.87/3.13  % (305263)Termination phase: shuffling
% 4.87/3.13  % (305263)Time elapsed: 0.050 s
% 4.87/3.13  % (305263)Peak memory usage: 23 MB
% 4.87/3.13  % (305263)Instructions burned: 195 (million)
% 5.36/3.24  % (305233)Instruction limit reached! 
% 5.36/3.24  % (305233)------------------------------
% 5.36/3.24  % (305233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/3.24  % (305233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/3.24  % (305233)CaDiCaL version: 2.1.3
% 5.36/3.24  % (305233)Termination reason: Instruction limit
% 5.36/3.24  % (305233)Termination phase: shuffling
% 5.36/3.24  % (305233)Time elapsed: 0.152 s
% 5.36/3.24  % (305233)Peak memory usage: 25 MB
% 5.36/3.24  % (305233)Instructions burned: 328 (million)
% 5.36/3.24  % (305272)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 5.36/3.24  % (305272)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2480635249:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2993 on theBenchmark for (2993ds/6Mi)
% 5.36/3.24  % (305270)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3698761798:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/181Mi)
% 5.36/3.24  % (305271)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=1892046903:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/169Mi)
% 5.36/3.24  % (305272)Instruction limit reached! 
% 5.36/3.24  % (305272)------------------------------
% 5.36/3.24  % (305272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/3.24  % (305272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/3.24  % (305272)CaDiCaL version: 2.1.3
% 5.36/3.24  % (305272)Termination reason: Instruction limit
% 5.36/3.24  % (305272)Termination phase: shuffling
% 5.36/3.24  % (305272)Time elapsed: 0.006 s
% 5.36/3.24  % (305272)Peak memory usage: 20 MB
% 5.36/3.24  % (305272)Instructions burned: 7 (million)
% 5.36/3.24  % (305273)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=744485549:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.36/3.24  % (305277)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3345150334:i=19:add=on:rtra=on_2993 on theBenchmark for (2993ds/19Mi)
% 5.36/3.24  % (305201)Instruction limit reached! 
% 5.36/3.24  % (305201)------------------------------
% 5.36/3.24  % (305201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/3.24  % (305201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/3.24  % (305201)CaDiCaL version: 2.1.3
% 5.36/3.24  % (305201)Termination reason: Instruction limit
% 5.36/3.24  % (305201)Termination phase: Property scanning
% 5.36/3.24  % (305201)Time elapsed: 0.284 s
% 5.36/3.24  % (305201)Peak memory usage: 26 MB
% 5.36/3.24  % (305201)Instructions burned: 634 (million)
% 5.36/3.24  % (305277)Instruction limit reached! 
% 5.36/3.24  % (305277)------------------------------
% 5.36/3.24  % (305277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/3.24  % (305277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/3.24  % (305277)CaDiCaL version: 2.1.3
% 5.36/3.24  % (305277)Termination reason: Instruction limit
% 5.36/3.24  % (305277)Termination phase: shuffling
% 5.36/3.24  % (305277)Time elapsed: 0.009 s
% 5.36/3.24  % (305277)Peak memory usage: 20 MB
% 5.36/3.24  % (305277)Instructions burned: 22 (million)
% 5.36/3.24  % (305273)Instruction limit reached! 
% 5.36/3.24  % (305273)------------------------------
% 5.36/3.24  % (305273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/3.24  % (305273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/3.24  % (305273)CaDiCaL version: 2.1.3
% 5.36/3.24  % (305273)Termination reason: Instruction limit
% 5.36/3.24  % (305273)Termination phase: shuffling
% 5.36/3.24  % (305273)Time elapsed: 0.017 s
% 5.36/3.24  % (305273)Peak memory usage: 20 MB
% 5.36/3.24  % (305273)Instructions burned: 23 (million)
% 5.36/3.24  % (305261)Instruction limit reached! 
% 5.36/3.24  % (305261)------------------------------
% 5.36/3.24  % (305261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/3.24  % (305261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/3.24  % (305261)CaDiCaL version: 2.1.3
% 5.36/3.24  % (305261)Termination reason: Instruction limit
% 5.36/3.24  % (305261)Termination phase: shuffling
% 6.48/3.31  % (305261)Time elapsed: 0.096 s
% 6.48/3.31  % (305261)Peak memory usage: 22 MB
% 6.48/3.31  % (305261)Instructions burned: 143 (million)
% 6.48/3.31  % (305281)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=942748070:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2993 on theBenchmark for (2993ds/853Mi)
% 6.48/3.31  % (305280)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=3007271274:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/316Mi)
% 6.48/3.31  % (305282)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=4221005670:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2993 on theBenchmark for (2993ds/45Mi)
% 6.48/3.31  % (305284)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2273595959:i=480:rtra=on_2993 on theBenchmark for (2993ds/480Mi)
% 6.48/3.31  % (305282)Instruction limit reached! 
% 6.48/3.31  % (305282)------------------------------
% 6.48/3.31  % (305282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/3.31  % (305282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/3.31  % (305282)CaDiCaL version: 2.1.3
% 6.48/3.31  % (305282)Termination reason: Instruction limit
% 6.48/3.31  % (305282)Termination phase: Property scanning
% 6.48/3.31  % (305282)Time elapsed: 0.025 s
% 6.48/3.31  % (305282)Peak memory usage: 19 MB
% 6.48/3.31  % (305282)Instructions burned: 46 (million)
% 6.48/3.31  % (305271)Instruction limit reached! 
% 6.48/3.31  % (305271)------------------------------
% 6.48/3.31  % (305271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/3.31  % (305271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/3.31  % (305271)CaDiCaL version: 2.1.3
% 6.48/3.31  % (305271)Termination reason: Instruction limit
% 6.48/3.31  % (305271)Termination phase: shuffling
% 6.48/3.31  % (305271)Time elapsed: 0.080 s
% 6.48/3.31  % (305271)Peak memory usage: 22 MB
% 6.48/3.31  % (305271)Instructions burned: 169 (million)
% 6.48/3.31  % (305270)Instruction limit reached! 
% 6.48/3.31  % (305270)------------------------------
% 6.48/3.31  % (305270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/3.31  % (305270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/3.31  % (305270)CaDiCaL version: 2.1.3
% 6.48/3.31  % (305270)Termination reason: Instruction limit
% 6.48/3.31  % (305270)Termination phase: shuffling
% 6.48/3.31  % (305270)Time elapsed: 0.087 s
% 6.48/3.31  % (305270)Peak memory usage: 22 MB
% 6.48/3.31  % (305270)Instructions burned: 183 (million)
% 6.48/3.31  % (305288)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1271443455:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2993 on theBenchmark for (2993ds/21Mi)
% 6.48/3.31  % (305289)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 6.48/3.31  % (305289)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4024291881:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/200Mi)
% 6.48/3.31  % (305290)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2810986720:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2992 on theBenchmark for (2992ds/13Mi)
% 6.48/3.31  % (305288)Instruction limit reached! 
% 6.48/3.31  % (305288)------------------------------
% 6.48/3.31  % (305288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/3.31  % (305288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/3.31  % (305288)CaDiCaL version: 2.1.3
% 6.48/3.31  % (305288)Termination reason: Instruction limit
% 6.48/3.31  % (305288)Termination phase: shuffling
% 6.48/3.31  % (305288)Time elapsed: 0.016 s
% 6.48/3.31  % (305288)Peak memory usage: 20 MB
% 6.48/3.31  % (305288)Instructions burned: 22 (million)
% 6.48/3.31  % (305290)Instruction limit reached! 
% 6.48/3.31  % (305290)------------------------------
% 6.48/3.31  % (305290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/3.31  % (305290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/3.46  % (305290)CaDiCaL version: 2.1.3
% 6.97/3.46  % (305290)Termination reason: Instruction limit
% 6.97/3.46  % (305290)Termination phase: shuffling
% 6.97/3.46  % (305290)Time elapsed: 0.012 s
% 6.97/3.46  % (305290)Peak memory usage: 20 MB
% 6.97/3.46  % (305290)Instructions burned: 14 (million)
% 6.97/3.46  % (305294)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=796478355:i=66:s2at=3:nm=2:rtra=on:rawr=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.97/3.46  % (305295)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2376961636:i=51:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/51Mi)
% 6.97/3.46  % (305294)Instruction limit reached! 
% 6.97/3.46  % (305294)------------------------------
% 6.97/3.46  % (305294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/3.46  % (305294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/3.46  % (305294)CaDiCaL version: 2.1.3
% 6.97/3.46  % (305294)Termination reason: Instruction limit
% 6.97/3.46  % (305294)Termination phase: shuffling
% 6.97/3.46  % (305294)Time elapsed: 0.036 s
% 6.97/3.46  % (305294)Peak memory usage: 21 MB
% 6.97/3.46  % (305294)Instructions burned: 68 (million)
% 6.97/3.46  % (305295)Instruction limit reached! 
% 6.97/3.46  % (305295)------------------------------
% 6.97/3.46  % (305295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/3.46  % (305295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/3.46  % (305295)CaDiCaL version: 2.1.3
% 6.97/3.46  % (305295)Termination reason: Instruction limit
% 6.97/3.46  % (305295)Termination phase: shuffling
% 6.97/3.46  % (305295)Time elapsed: 0.029 s
% 6.97/3.46  % (305295)Peak memory usage: 21 MB
% 6.97/3.46  % (305295)Instructions burned: 53 (million)
% 6.97/3.46  % (305298)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=588518080:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 6.97/3.46  % (305299)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3484970981:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2992 on theBenchmark for (2992ds/137Mi)
% 6.97/3.46  % (305280)Instruction limit reached! 
% 6.97/3.46  % (305280)------------------------------
% 6.97/3.46  % (305280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/3.46  % (305280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/3.46  % (305280)CaDiCaL version: 2.1.3
% 6.97/3.46  % (305280)Termination reason: Instruction limit
% 6.97/3.46  % (305280)Termination phase: shuffling
% 6.97/3.46  % (305280)Time elapsed: 0.147 s
% 6.97/3.46  % (305280)Peak memory usage: 26 MB
% 6.97/3.46  % (305280)Instructions burned: 318 (million)
% 6.97/3.46  % (305289)Instruction limit reached! 
% 6.97/3.46  % (305289)------------------------------
% 6.97/3.46  % (305289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/3.46  % (305289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/3.46  % (305289)CaDiCaL version: 2.1.3
% 6.97/3.46  % (305289)Termination reason: Instruction limit
% 6.97/3.46  % (305289)Termination phase: shuffling
% 6.97/3.46  % (305289)Time elapsed: 0.093 s
% 6.97/3.46  % (305289)Peak memory usage: 23 MB
% 6.97/3.46  % (305289)Instructions burned: 201 (million)
% 6.97/3.46  % (305298)Instruction limit reached! 
% 6.97/3.46  % (305298)------------------------------
% 6.97/3.46  % (305298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/3.46  % (305298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/3.46  % (305298)CaDiCaL version: 2.1.3
% 6.97/3.46  % (305298)Termination reason: Instruction limit
% 6.97/3.46  % (305298)Termination phase: shuffling
% 6.97/3.46  % (305298)Time elapsed: 0.020 s
% 6.97/3.46  % (305298)Peak memory usage: 20 MB
% 6.97/3.46  % (305298)Instructions burned: 32 (million)
% 6.97/3.46  % (305302)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=830434349:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 6.97/3.46  % (305303)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3796327444:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2991 on theBenchmark for (2991ds/67Mi)
% 6.97/3.46  % (305304)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 6.97/3.46  % (305304)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1419116561:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2991 on theBenchmark for (2991ds/180Mi)
% 7.65/3.64  % (305302)Instruction limit reached! 
% 7.65/3.64  % (305302)------------------------------
% 7.65/3.64  % (305302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/3.64  % (305302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/3.64  % (305302)CaDiCaL version: 2.1.3
% 7.65/3.64  % (305302)Termination reason: Instruction limit
% 7.65/3.64  % (305302)Termination phase: shuffling
% 7.65/3.64  % (305302)Time elapsed: 0.021 s
% 7.65/3.64  % (305302)Peak memory usage: 20 MB
% 7.65/3.64  % (305302)Instructions burned: 35 (million)
% 7.65/3.64  % (305281)Instruction limit reached! 
% 7.65/3.64  % (305281)------------------------------
% 7.65/3.64  % (305281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/3.64  % (305281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/3.64  % (305281)CaDiCaL version: 2.1.3
% 7.65/3.64  % (305281)Termination reason: Instruction limit
% 7.65/3.64  % (305281)Termination phase: Property scanning
% 7.65/3.64  % (305281)Time elapsed: 0.200 s
% 7.65/3.64  % (305281)Peak memory usage: 26 MB
% 7.65/3.64  % (305281)Instructions burned: 855 (million)
% 7.65/3.64  % (305309)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2588116307:cond=on:i=96:bd=all:rtra=on_2991 on theBenchmark for (2991ds/96Mi)
% 7.65/3.64  % (305308)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1246884261:st=2:i=246:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/246Mi)
% 7.65/3.64  % (305303)Instruction limit reached! 
% 7.65/3.64  % (305303)------------------------------
% 7.65/3.64  % (305303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/3.64  % (305303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/3.64  % (305303)CaDiCaL version: 2.1.3
% 7.65/3.64  % (305303)Termination reason: Instruction limit
% 7.65/3.64  % (305303)Termination phase: shuffling
% 7.65/3.64  % (305303)Time elapsed: 0.036 s
% 7.65/3.64  % (305303)Peak memory usage: 21 MB
% 7.65/3.64  % (305303)Instructions burned: 68 (million)
% 7.65/3.64  % (305299)Instruction limit reached! 
% 7.65/3.64  % (305299)------------------------------
% 7.65/3.64  % (305299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/3.64  % (305299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/3.64  % (305299)CaDiCaL version: 2.1.3
% 7.65/3.64  % (305299)Termination reason: Instruction limit
% 7.65/3.64  % (305299)Termination phase: shuffling
% 7.65/3.64  % (305299)Time elapsed: 0.066 s
% 7.65/3.64  % (305299)Peak memory usage: 22 MB
% 7.65/3.64  % (305299)Instructions burned: 139 (million)
% 7.65/3.64  % (305309)Instruction limit reached! 
% 7.65/3.64  % (305309)------------------------------
% 7.65/3.64  % (305309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/3.64  % (305309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/3.64  % (305309)CaDiCaL version: 2.1.3
% 7.65/3.64  % (305309)Termination reason: Instruction limit
% 7.65/3.64  % (305309)Termination phase: shuffling
% 7.65/3.64  % (305309)Time elapsed: 0.027 s
% 7.65/3.64  % (305309)Peak memory usage: 21 MB
% 7.65/3.64  % (305309)Instructions burned: 100 (million)
% 7.65/3.64  % (305312)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2826516675:i=427:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/427Mi)
% 7.65/3.64  % (305313)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3524582689:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/874Mi)
% 7.65/3.64  % (305284)Instruction limit reached! 
% 7.65/3.64  % (305284)------------------------------
% 7.65/3.64  % (305284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/3.64  % (305284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/3.64  % (305284)CaDiCaL version: 2.1.3
% 7.65/3.64  % (305284)Termination reason: Instruction limit
% 7.65/3.64  % (305284)Termination phase: Property scanning
% 7.65/3.64  % (305284)Time elapsed: 0.216 s
% 7.65/3.64  % (305284)Peak memory usage: 26 MB
% 7.65/3.64  % (305284)Instructions burned: 480 (million)
% 7.65/3.64  % (305316)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3833343235:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/515Mi)
% 7.65/3.64  % (305317)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1446346850:st=1.5:i=130:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 8.59/3.71  % (305304)Instruction limit reached! 
% 8.59/3.71  % (305304)------------------------------
% 8.59/3.71  % (305304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/3.71  % (305304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/3.71  % (305304)CaDiCaL version: 2.1.3
% 8.59/3.71  % (305304)Termination reason: Instruction limit
% 8.59/3.71  % (305304)Termination phase: shuffling
% 8.59/3.71  % (305304)Time elapsed: 0.086 s
% 8.59/3.71  % (305304)Peak memory usage: 23 MB
% 8.59/3.71  % (305304)Instructions burned: 181 (million)
% 8.59/3.71  % (305320)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2618892898:i=44:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/44Mi)
% 8.59/3.71  % (305320)Instruction limit reached! 
% 8.59/3.71  % (305320)------------------------------
% 8.59/3.71  % (305320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/3.71  % (305320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/3.71  % (305320)CaDiCaL version: 2.1.3
% 8.59/3.71  % (305320)Termination reason: Instruction limit
% 8.59/3.71  % (305320)Termination phase: shuffling
% 8.59/3.71  % (305320)Time elapsed: 0.025 s
% 8.59/3.71  % (305320)Peak memory usage: 20 MB
% 8.59/3.71  % (305320)Instructions burned: 45 (million)
% 8.59/3.71  % (305317)Instruction limit reached! 
% 8.59/3.71  % (305317)------------------------------
% 8.59/3.71  % (305317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/3.71  % (305317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/3.71  % (305317)CaDiCaL version: 2.1.3
% 8.59/3.71  % (305317)Termination reason: Instruction limit
% 8.59/3.71  % (305317)Termination phase: shuffling
% 8.59/3.71  % (305317)Time elapsed: 0.065 s
% 8.59/3.71  % (305317)Peak memory usage: 22 MB
% 8.59/3.71  % (305317)Instructions burned: 132 (million)
% 8.59/3.71  % (305308)Instruction limit reached! 
% 8.59/3.71  % (305308)------------------------------
% 8.59/3.71  % (305308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/3.71  % (305308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/3.71  % (305308)CaDiCaL version: 2.1.3
% 8.59/3.71  % (305308)Termination reason: Instruction limit
% 8.59/3.71  % (305308)Termination phase: shuffling
% 8.59/3.71  % (305308)Time elapsed: 0.114 s
% 8.59/3.71  % (305308)Peak memory usage: 24 MB
% 8.59/3.71  % (305308)Instructions burned: 246 (million)
% 8.59/3.71  % (305322)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1074981547:s2a=on:i=571:nm=16:rtra=on_2990 on theBenchmark for (2990ds/571Mi)
% 8.59/3.71  % (305323)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3365906291:i=450:rtra=on:ixr=off:ntd=on_2990 on theBenchmark for (2990ds/450Mi)
% 8.59/3.71  % (305324)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3979276876:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/95Mi)
% 8.59/3.71  % (305316)Instruction limit reached! 
% 8.59/3.71  % (305316)------------------------------
% 8.59/3.71  % (305316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/3.71  % (305316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/3.71  % (305316)CaDiCaL version: 2.1.3
% 8.59/3.71  % (305316)Termination reason: Instruction limit
% 8.59/3.71  % (305316)Termination phase: Property scanning
% 8.59/3.71  % (305316)Time elapsed: 0.124 s
% 8.59/3.71  % (305316)Peak memory usage: 27 MB
% 8.59/3.71  % (305316)Instructions burned: 518 (million)
% 8.59/3.71  % (305328)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=2204612007:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2989 on theBenchmark for (2989ds/65Mi)
% 8.59/3.71  % (305324)Instruction limit reached! 
% 8.59/3.71  % (305324)------------------------------
% 8.59/3.71  % (305324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.59/3.71  % (305324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/3.71  % (305324)CaDiCaL version: 2.1.3
% 8.59/3.71  % (305324)Termination reason: Instruction limit
% 8.59/3.71  % (305324)Termination phase: shuffling
% 8.59/3.71  % (305324)Time elapsed: 0.047 s
% 8.59/3.71  % (305324)Peak memory usage: 21 MB
% 8.59/3.71  % (305324)Instructions burned: 96 (million)
% 8.59/3.71  % (305328)Instruction limit reached! 
% 9.40/3.81  % (305328)------------------------------
% 9.40/3.81  % (305328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305328)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305328)Termination reason: Instruction limit
% 9.40/3.81  % (305328)Termination phase: shuffling
% 9.40/3.81  % (305328)Time elapsed: 0.019 s
% 9.40/3.81  % (305328)Peak memory usage: 21 MB
% 9.40/3.81  % (305328)Instructions burned: 67 (million)
% 9.40/3.81  % (305331)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=731668239:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2989 on theBenchmark for (2989ds/5755Mi)
% 9.40/3.81  % (305330)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=1833176092:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2989 on theBenchmark for (2989ds/105Mi)
% 9.40/3.81  % (305257)Instruction limit reached! 
% 9.40/3.81  % (305257)------------------------------
% 9.40/3.81  % (305257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305257)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305257)Termination reason: Instruction limit
% 9.40/3.81  % (305257)Termination phase: Property scanning
% 9.40/3.81  % (305257)Time elapsed: 0.547 s
% 9.40/3.81  % (305257)Peak memory usage: 35 MB
% 9.40/3.81  % (305257)Instructions burned: 1241 (million)
% 9.40/3.81  % (305312)Instruction limit reached! 
% 9.40/3.81  % (305312)------------------------------
% 9.40/3.81  % (305312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305312)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305312)Termination reason: Instruction limit
% 9.40/3.81  % (305312)Termination phase: Property scanning
% 9.40/3.81  % (305312)Time elapsed: 0.194 s
% 9.40/3.81  % (305312)Peak memory usage: 27 MB
% 9.40/3.81  % (305312)Instructions burned: 427 (million)
% 9.40/3.81  % (305334)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2388588090:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/375Mi)
% 9.40/3.81  % (305335)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2652752449:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/495Mi)
% 9.40/3.81  % (305330)Instruction limit reached! 
% 9.40/3.81  % (305330)------------------------------
% 9.40/3.81  % (305330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305330)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305330)Termination reason: Instruction limit
% 9.40/3.81  % (305330)Termination phase: shuffling
% 9.40/3.81  % (305330)Time elapsed: 0.053 s
% 9.40/3.81  % (305330)Peak memory usage: 22 MB
% 9.40/3.81  % (305330)Instructions burned: 106 (million)
% 9.40/3.81  % (305338)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=4240949924:cond=on:i=34:hud=10:nm=10:rtra=on_2988 on theBenchmark for (2988ds/34Mi)
% 9.40/3.81  % (305338)Instruction limit reached! 
% 9.40/3.81  % (305338)------------------------------
% 9.40/3.81  % (305338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305338)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305338)Termination reason: Instruction limit
% 9.40/3.81  % (305338)Termination phase: shuffling
% 9.40/3.81  % (305338)Time elapsed: 0.021 s
% 9.40/3.81  % (305338)Peak memory usage: 20 MB
% 9.40/3.81  % (305338)Instructions burned: 35 (million)
% 9.40/3.81  % (305340)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2948654569:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/91Mi)
% 9.40/3.81  % (305340)Instruction limit reached! 
% 9.40/3.81  % (305340)------------------------------
% 9.40/3.81  % (305340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305340)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305340)Termination reason: Instruction limit
% 9.40/3.81  % (305340)Termination phase: shuffling
% 9.40/3.81  % (305340)Time elapsed: 0.046 s
% 9.40/3.81  % (305340)Peak memory usage: 21 MB
% 9.40/3.81  % (305340)Instructions burned: 92 (million)
% 9.40/3.81  % (305322)Instruction limit reached! 
% 9.40/3.81  % (305322)------------------------------
% 9.40/3.81  % (305322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305322)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305322)Termination reason: Instruction limit
% 9.40/3.81  % (305322)Termination phase: Property scanning
% 9.40/3.81  % (305322)Time elapsed: 0.251 s
% 9.40/3.81  % (305322)Peak memory usage: 26 MB
% 9.40/3.81  % (305322)Instructions burned: 571 (million)
% 9.40/3.81  % (305342)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=188879355:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2987 on theBenchmark for (2987ds/66Mi)
% 9.40/3.81  % (305323)Instruction limit reached! 
% 9.40/3.81  % (305323)------------------------------
% 9.40/3.81  % (305323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305323)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305323)Termination reason: Instruction limit
% 9.40/3.81  % (305323)Termination phase: Property scanning
% 9.40/3.81  % (305323)Time elapsed: 0.262 s
% 9.40/3.81  % (305323)Peak memory usage: 26 MB
% 9.40/3.81  % (305323)Instructions burned: 451 (million)
% 9.40/3.81  % (305343)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=413867345:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2987 on theBenchmark for (2987ds/22Mi)
% 9.40/3.81  % (305334)Instruction limit reached! 
% 9.40/3.81  % (305334)------------------------------
% 9.40/3.81  % (305334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305334)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305334)Termination reason: Instruction limit
% 9.40/3.81  % (305334)Termination phase: shuffling
% 9.40/3.81  % (305334)Time elapsed: 0.172 s
% 9.40/3.81  % (305334)Peak memory usage: 26 MB
% 9.40/3.81  % (305334)Instructions burned: 377 (million)
% 9.40/3.81  % (305345)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=3248602696:i=338:bd=all:ins=4:rtra=on_2987 on theBenchmark for (2987ds/338Mi)
% 9.40/3.81  % (305343)Instruction limit reached! 
% 9.40/3.81  % (305343)------------------------------
% 9.40/3.81  % (305343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305343)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305343)Termination reason: Instruction limit
% 9.40/3.81  % (305343)Termination phase: shuffling
% 9.40/3.81  % (305343)Time elapsed: 0.017 s
% 9.40/3.81  % (305343)Peak memory usage: 20 MB
% 9.40/3.81  % (305343)Instructions burned: 24 (million)
% 9.40/3.81  % (305342)Instruction limit reached! 
% 9.40/3.81  % (305342)------------------------------
% 9.40/3.81  % (305342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305342)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305342)Termination reason: Instruction limit
% 9.40/3.81  % (305342)Termination phase: shuffling
% 9.40/3.81  % (305342)Time elapsed: 0.035 s
% 9.40/3.81  % (305342)Peak memory usage: 21 MB
% 9.40/3.81  % (305342)Instructions burned: 66 (million)
% 9.40/3.81  % (305347)lrs+10_1_sil=128000:si=on:urr=on:random_seed=137085429:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/28Mi)
% 9.40/3.81  % (305349)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 9.40/3.81  % (305313)Instruction limit reached! 
% 9.40/3.81  % (305313)------------------------------
% 9.40/3.81  % (305313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305313)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305313)Termination reason: Instruction limit
% 9.40/3.81  % (305313)Termination phase: SInE selection
% 9.40/3.81  % (305313)Time elapsed: 0.415 s
% 9.40/3.81  % (305313)Peak memory usage: 27 MB
% 9.40/3.81  % (305313)Instructions burned: 875 (million)
% 9.40/3.81  % (305349)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1065086924:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/137Mi)
% 9.40/3.81  % (305350)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=106555297:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2986 on theBenchmark for (2986ds/340Mi)
% 9.40/3.81  % (305347)Instruction limit reached! 
% 9.40/3.81  % (305347)------------------------------
% 9.40/3.81  % (305347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305347)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305347)Termination reason: Instruction limit
% 9.40/3.81  % (305347)Termination phase: shuffling
% 9.40/3.81  % (305347)Time elapsed: 0.019 s
% 9.40/3.81  % (305347)Peak memory usage: 20 MB
% 9.40/3.81  % (305347)Instructions burned: 28 (million)
% 9.40/3.81  % (305352)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=847831075:i=227:sd=1:bd=all:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/227Mi)
% 9.40/3.81  % (305335)Instruction limit reached! 
% 9.40/3.81  % (305335)------------------------------
% 9.40/3.81  % (305335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305335)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305335)Termination reason: Instruction limit
% 9.40/3.81  % (305335)Termination phase: Property scanning
% 9.40/3.81  % (305335)Time elapsed: 0.221 s
% 9.40/3.81  % (305335)Peak memory usage: 26 MB
% 9.40/3.81  % (305335)Instructions burned: 497 (million)
% 9.40/3.81  % (305355)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 9.40/3.81  % (305355)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2745290528:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/373Mi)
% 9.40/3.81  % (305357)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1024259295:i=116:ep=RSTC:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/116Mi)
% 9.40/3.81  % (305349)Instruction limit reached! 
% 9.40/3.81  % (305349)------------------------------
% 9.40/3.81  % (305349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305349)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305349)Termination reason: Instruction limit
% 9.40/3.81  % (305349)Termination phase: shuffling
% 9.40/3.81  % (305349)Time elapsed: 0.068 s
% 9.40/3.81  % (305349)Peak memory usage: 23 MB
% 9.40/3.81  % (305349)Instructions burned: 139 (million)
% 9.40/3.81  % (305331) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-305193-305331"...
% 9.40/3.81  % (305360)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1222614760:i=575:rtra=on_2986 on theBenchmark for (2986ds/575Mi)
% 9.40/3.81  % (305331)...printing done.
% 9.40/3.81  % (305357)Instruction limit reached! 
% 9.40/3.81  % (305357)------------------------------
% 9.40/3.81  % (305357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.81  % (305357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.81  % (305357)CaDiCaL version: 2.1.3
% 9.40/3.81  % (305357)Termination reason: Instruction limit
% 9.40/3.81  % (305357)Termination phase: shuffling
% 9.40/3.81  % (305357)Time elapsed: 0.057 s
% 9.40/3.81  % (305357)Peak memory usage: 21 MB
% 9.40/3.81  % (305357)Instructions burned: 118 (million)
% 9.40/3.81  % (305331)Refutation found. Thanks to Tanya!
% 9.40/3.81  % SZS status Theorem for theBenchmark
% 9.40/3.81  % SZS output start Proof for theBenchmark
% See solution above
% 9.40/3.83  % (305331)------------------------------
% 9.40/3.83  % (305331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.40/3.83  % (305331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/3.83  % (305331)CaDiCaL version: 2.1.3
% 9.40/3.83  % (305331)Termination reason: Refutation
% 9.40/3.83  % (305331)Time elapsed: 0.326 s
% 9.40/3.83  % (305331)Peak memory usage: 34 MB
% 9.40/3.83  % (305331)Instructions burned: 1274 (million)
% 9.40/3.83  % (305193)Success in time 1.423 s
% 9.40/3.83  % Vampire exiting
%------------------------------------------------------------------------------