%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : ITP216^3 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 09:37:41 EDT 2024

% Result   : Theorem 11.47s 2.37s
% Output   : Refutation 11.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   38 (  23 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :   74 (  11   ~;   0   |;   0   &;  63   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :  306 ( 305 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 2601 (2598 usr; 163 con; 0-8 aty)
%            Number of variables   :   28 (  12   ^  16   !;   0   ?;  28   :)

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

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

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

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

thf(type_def_10,type,
    heap_T6362127782908069795rray_a: $tType ).

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

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

thf(type_def_13,type,
    produc3658429121746597890et_nat: $tType ).

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

thf(type_def_15,type,
    heap_e7401611519738050253t_unit: $tType ).

thf(type_def_16,type,
    produc2732055786443039994et_nat: $tType ).

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

thf(type_def_18,type,
    set_Pr1261947904930325089at_nat: $tType ).

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

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

thf(type_def_21,type,
    produc8923325533196201883nteger: $tType ).

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

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

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

thf(type_def_25,type,
    produc7822875418678951345atural: $tType ).

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

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

thf(type_def_28,type,
    set_Pr1932065953672099015od_o_o: $tType ).

thf(type_def_29,type,
    set_Pr4329608150637261639at_nat: $tType ).

thf(type_def_30,type,
    set_Pr457366540195662369at_nat: $tType ).

thf(type_def_31,type,
    produc5835291356934675326atural: $tType ).

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

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

thf(type_def_34,type,
    produc6271795597528267376eger_o: $tType ).

thf(type_def_35,type,
    set_in8474487674441654202_int_o: $tType ).

thf(type_def_36,type,
    option6357759511663192854e_term: $tType ).

thf(type_def_37,type,
    set_Pr8914822823351560561eger_o: $tType ).

thf(type_def_38,type,
    produc6241069584506657477e_term: $tType ).

thf(type_def_39,type,
    set_Pr1457143144315775327_nat_o: $tType ).

thf(type_def_40,type,
    produc3925858234332021118et_nat: $tType ).

thf(type_def_41,type,
    set_Pr8208987589773510107_nat_o: $tType ).

thf(type_def_42,type,
    set_Pr5050529186185961540_int_o: $tType ).

thf(type_def_43,type,
    produc8551481072490612790e_term: $tType ).

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

thf(type_def_45,type,
    set_se9180647916752606350_nat_o: $tType ).

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

thf(type_def_47,type,
    set_op3165557761946182707t_unit: $tType ).

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

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

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

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

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

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

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

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

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

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

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

thf(type_def_59,type,
    set_se7394616247590735609nt_int: $tType ).

thf(type_def_60,type,
    set_Pr1872883991513573699nt_int: $tType ).

thf(type_def_61,type,
    set_se124295367203800706nteger: $tType ).

thf(type_def_62,type,
    set_Pr1281608226676607948nteger: $tType ).

thf(type_def_63,type,
    set_se5120235452707311462et_nat: $tType ).

thf(type_def_64,type,
    set_Pr8536935166611901872et_nat: $tType ).

thf(type_def_65,type,
    set_se8543413830569400298et_nat: $tType ).

thf(type_def_66,type,
    set_Pr3286484037609594932et_nat: $tType ).

thf(type_def_67,type,
    set_se2364587433798273647nt_int: $tType ).

thf(type_def_68,type,
    set_Pr9222295170931077689nt_int: $tType ).

thf(type_def_69,type,
    set_se7855581050983116737at_nat: $tType ).

thf(type_def_70,type,
    set_se5479201105039950375at_nat: $tType ).

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

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

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

thf(type_def_74,type,
    set_se3372686590935047281atural: $tType ).

thf(type_def_75,type,
    set_Pr7564037697178849041atural: $tType ).

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

thf(type_def_77,type,
    set_op687863988967635939nteger: $tType ).

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

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

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

thf(type_def_81,type,
    set_op4508134149509766951at_nat: $tType ).

thf(type_def_82,type,
    set_op239864471688321678it_nat: $tType ).

thf(type_def_83,type,
    set_Pr4811707699266497531nteger: $tType ).

thf(type_def_84,type,
    set_Pr6496905503482889930er_int: $tType ).

thf(type_def_85,type,
    set_Pr8986988648414616686er_nat: $tType ).

thf(type_def_86,type,
    set_Pr3948176798113811640et_nat: $tType ).

thf(type_def_87,type,
    set_Pr8415741480598773322nteger: $tType ).

thf(type_def_88,type,
    set_Pr958786334691620121nt_int: $tType ).

thf(type_def_89,type,
    set_Pr3448869479623346877nt_nat: $tType ).

thf(type_def_90,type,
    set_Pr2406931829603198446nteger: $tType ).

thf(type_def_91,type,
    set_Pr7995236796853374141at_int: $tType ).

thf(type_def_92,type,
    set_Pr8693737435421807431at_nat: $tType ).

thf(type_def_93,type,
    set_Pr1354866905816374718it_nat: $tType ).

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

thf(type_def_95,type,
    multis2468970476368604999at_nat: $tType ).

thf(type_def_96,type,
    option8057788054806935849nteger: $tType ).

thf(type_def_97,type,
    option7428179582072448501nteger: $tType ).

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

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

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

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

thf(type_def_102,type,
    option8956607266484857688it_nat: $tType ).

thf(type_def_103,type,
    produc8664842809031399944it_nat: $tType ).

thf(type_def_104,type,
    produc7773217078559923341nt_int: $tType ).

thf(type_def_105,type,
    produc3832618445565238089e_term: $tType ).

thf(type_def_106,type,
    produc7360885484439884007_nat_o: $tType ).

thf(type_def_107,type,
    produc1908205239877642774nteger: $tType ).

thf(type_def_108,type,
    produc998928222018024388e_term: $tType ).

thf(type_def_109,type,
    produc4962441903510821572_nat_o: $tType ).

thf(type_def_110,type,
    produc6907119039986491712_nat_o: $tType ).

thf(type_def_111,type,
    produc2285326912895808259nt_int: $tType ).

thf(type_def_112,type,
    produc1821397396195235155e_term: $tType ).

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

thf(type_def_114,type,
    produc2256096406371053034er_int: $tType ).

thf(type_def_115,type,
    produc6433947425880249742er_nat: $tType ).

thf(type_def_116,type,
    produc6756470014200349799atural: $tType ).

thf(type_def_117,type,
    produc3981471736659609608atural: $tType ).

thf(type_def_118,type,
    produc6714399278180371524it_nat: $tType ).

thf(type_def_119,type,
    option3216581401566546698it_nat: $tType ).

thf(type_def_120,type,
    produc2963269191615333738nteger: $tType ).

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

thf(type_def_122,type,
    produc2591615631378489102nteger: $tType ).

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

thf(type_def_124,type,
    option5403585828896915703atural: $tType ).

thf(type_def_125,type,
    produc3843707927480180839at_nat: $tType ).

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

thf(type_def_127,type,
    produc4193628355235574503at_nat: $tType ).

thf(type_def_128,type,
    produc1319942482725812455at_nat: $tType ).

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

thf(type_def_130,type,
    set_se8531188866349061887nteger: $tType ).

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

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

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

thf(type_def_134,type,
    set_se5158245632345848097at_nat: $tType ).

thf(type_def_135,type,
    set_se7118615804146677933t_unit: $tType ).

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

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

thf(type_def_138,type,
    heap_T5738788834812785303t_unit: $tType ).

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

thf(type_def_140,type,
    produc2867611627572283311it_nat: $tType ).

thf(type_def_141,type,
    produc3911288613690379145it_nat: $tType ).

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

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

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

thf(type_def_145,type,
    option8963830502488799655at_nat: $tType ).

thf(type_def_146,type,
    option1583680563626158861at_nat: $tType ).

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

thf(type_def_148,type,
    set_Pr8834758594704517033_o_int: $tType ).

thf(type_def_149,type,
    set_Pr2101469702781467981_o_nat: $tType ).

thf(type_def_150,type,
    set_Pr903927857289325719_int_o: $tType ).

thf(type_def_151,type,
    set_Pr3149072824959771635_nat_o: $tType ).

thf(type_def_152,type,
    set_Pr6558897299634722526_nat_o: $tType ).

thf(type_def_153,type,
    option5190343406534369742et_nat: $tType ).

thf(type_def_154,type,
    option2651255830984564193nteger: $tType ).

thf(type_def_155,type,
    option936205604648967762et_nat: $tType ).

thf(type_def_156,type,
    option4624381673175914239nt_int: $tType ).

thf(type_def_157,type,
    produc6576344331059438605e_term: $tType ).

thf(type_def_158,type,
    produc7819656566062154093et_nat: $tType ).

thf(type_def_159,type,
    set_Pr7040061329075590551_o_num: $tType ).

thf(type_def_160,type,
    set_Pr6777250647868329861it_nat: $tType ).

thf(type_def_161,type,
    set_Pr2352657477744078772atural: $tType ).

thf(type_def_162,type,
    set_Pr8387461105917469447nt_num: $tType ).

thf(type_def_163,type,
    set_Pr6200539531224447659at_num: $tType ).

thf(type_def_164,type,
    set_Pr633603713510679705it_nat: $tType ).

thf(type_def_165,type,
    set_Pr7477759153910077568at_num: $tType ).

thf(type_def_166,type,
    set_Pr8551490117392284871at_nat: $tType ).

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

thf(type_def_168,type,
    option4256020574406277085nt_int: $tType ).

thf(type_def_169,type,
    option8051342751916580710nteger: $tType ).

thf(type_def_170,type,
    option2860828798490689354et_nat: $tType ).

thf(type_def_171,type,
    option7541221861074943443nt_int: $tType ).

thf(type_def_172,type,
    option4927543243414619207at_nat: $tType ).

thf(type_def_173,type,
    option8699557107911914541at_nat: $tType ).

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

thf(type_def_175,type,
    option8137458692691377843t_unit: $tType ).

thf(type_def_176,type,
    set_op3940070208846178154it_nat: $tType ).

thf(type_def_177,type,
    set_Pr5142436192348053284it_nat: $tType ).

thf(type_def_178,type,
    set_op989438649584373901at_nat: $tType ).

thf(type_def_179,type,
    set_Pr5564308138774400199at_nat: $tType ).

thf(type_def_180,type,
    set_in3461395444621081367e_term: $tType ).

thf(type_def_181,type,
    set_Pr7604974323444597168e_term: $tType ).

thf(type_def_182,type,
    set_Pr4532377907799695533_nat_o: $tType ).

thf(type_def_183,type,
    set_Pr3642885161833720865e_term: $tType ).

thf(type_def_184,type,
    set_Pr7909803484932130503_nat_o: $tType ).

thf(type_def_185,type,
    set_Pr7717912310451564380at_nat: $tType ).

thf(type_def_186,type,
    set_Pr1625285437083415874at_nat: $tType ).

thf(type_def_187,type,
    set_Pr2539167527615954998at_nat: $tType ).

thf(type_def_188,type,
    set_Pr552903133987017116at_nat: $tType ).

thf(type_def_189,type,
    set_Co726186806682698383nteger: $tType ).

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

thf(type_def_191,type,
    set_Pr5889264611543340172t_unit: $tType ).

thf(type_def_192,type,
    set_Pr4334478416066269672t_unit: $tType ).

thf(type_def_193,type,
    set_Pr8497134830871917726it_int: $tType ).

thf(type_def_194,type,
    set_Pr1763845938948868674it_nat: $tType ).

thf(type_def_195,type,
    set_Pr5094982260447487303t_unit: $tType ).

thf(type_def_196,type,
    produc8763457246119570046nteger: $tType ).

thf(type_def_197,type,
    produc8731074985263844745atural: $tType ).

thf(type_def_198,type,
    produc1945540942535730339e_term: $tType ).

thf(type_def_199,type,
    produc7248412053542808358at_nat: $tType ).

thf(type_def_200,type,
    produc4471711990508489141at_nat: $tType ).

thf(type_def_201,type,
    produc8187290932660736981e_term: $tType ).

thf(type_def_202,type,
    produc4972180933644002618e_term: $tType ).

thf(type_def_203,type,
    produc989692990947075319atural: $tType ).

thf(type_def_204,type,
    produc4928098042776334183_nat_o: $tType ).

thf(type_def_205,type,
    produc4499399687821757879e_term: $tType ).

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

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

thf(type_def_208,type,
    produc6653097349344004940it_nat: $tType ).

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

thf(type_def_210,type,
    produc4166570645942440679at_nat: $tType ).

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

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

thf(type_def_213,type,
    produc3313772616054891654at_nat: $tType ).

thf(type_def_214,type,
    produc2501202720802129403nt_int: $tType ).

thf(type_def_215,type,
    produc824974754969098637nteger: $tType ).

thf(type_def_216,type,
    produc5657529347773406293et_nat: $tType ).

thf(type_def_217,type,
    produc6830853553727218525et_nat: $tType ).

thf(type_def_218,type,
    produc2432570611225516007nt_int: $tType ).

thf(type_def_219,type,
    produc3334582477557816039nteger: $tType ).

thf(type_def_220,type,
    produc8111630337999740517et_nat: $tType ).

thf(type_def_221,type,
    produc1219242969750017639nt_int: $tType ).

thf(type_def_222,type,
    produc652263959640188542_nat_o: $tType ).

thf(type_def_223,type,
    produc859450856879609959at_nat: $tType ).

thf(type_def_224,type,
    produc2714363965264676845at_nat: $tType ).

thf(type_def_225,type,
    produc366245978424229472at_nat: $tType ).

thf(type_def_226,type,
    produc2087150632810049441at_nat: $tType ).

thf(type_def_227,type,
    produc1906917888121415911at_nat: $tType ).

thf(type_def_228,type,
    produc7369051934464679207_set_o: $tType ).

thf(type_def_229,type,
    produc6491284506569428743nteger: $tType ).

thf(type_def_230,type,
    produc2115011035271226405et_int: $tType ).

thf(type_def_231,type,
    produc2934264451710624999od_o_o: $tType ).

thf(type_def_232,type,
    produc732395585841259969at_nat: $tType ).

thf(type_def_233,type,
    produc7299876168958306407at_nat: $tType ).

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

thf(type_def_235,type,
    set_Pr3451248702717554689st_nat: $tType ).

thf(type_def_236,type,
    set_Pr7549493975000385137at_nat: $tType ).

thf(type_def_237,type,
    set_Pr698032948827214833st_nat: $tType ).

thf(type_def_238,type,
    set_Pr7705059561495379578_nat_o: $tType ).

thf(type_def_239,type,
    set_Pr1628540301243981434e_term: $tType ).

thf(type_def_240,type,
    set_Pr4208978187861016310_nat_o: $tType ).

thf(type_def_241,type,
    set_Pr9020418513037773311e_term: $tType ).

thf(type_def_242,type,
    set_Pr7309386651551657097e_term: $tType ).

thf(type_def_243,type,
    set_Pr5488025237498180813et_nat: $tType ).

thf(type_def_244,type,
    produc6237349844158694175nteger: $tType ).

thf(type_def_245,type,
    produc382792921321436433nt_int: $tType ).

thf(type_def_246,type,
    produc3295550550304853304nteger: $tType ).

thf(type_def_247,type,
    produc3346328345660746739nteger: $tType ).

thf(type_def_248,type,
    produc6691574917238108761nteger: $tType ).

thf(type_def_249,type,
    produc8299537390109905600et_nat: $tType ).

thf(type_def_250,type,
    produc4130039061994950697nteger: $tType ).

thf(type_def_251,type,
    produc5219672859094816389atural: $tType ).

thf(type_def_252,type,
    produc5665947927044467078nt_int: $tType ).

thf(type_def_253,type,
    produc5111566536631596683et_nat: $tType ).

thf(type_def_254,type,
    produc6025053409261769070rm_int: $tType ).

thf(type_def_255,type,
    produc759720530913461378nt_int: $tType ).

thf(type_def_256,type,
    produc7172142986261921671rm_int: $tType ).

thf(type_def_257,type,
    produc6162884466328367972nteger: $tType ).

thf(type_def_258,type,
    produc3776562785724475560_o_int: $tType ).

thf(type_def_259,type,
    produc8065447618272157327et_nat: $tType ).

thf(type_def_260,type,
    produc5577056076408194680rm_int: $tType ).

thf(type_def_261,type,
    produc5966032636589952099nteger: $tType ).

thf(type_def_262,type,
    produc7142191362829087448er_num: $tType ).

thf(type_def_263,type,
    produc1828647624359046049st_nat: $tType ).

thf(type_def_264,type,
    produc1540777390238407569at_nat: $tType ).

thf(type_def_265,type,
    produc4575160907756185873st_nat: $tType ).

thf(type_def_266,type,
    product_prod_o_num: $tType ).

thf(type_def_267,type,
    produc2900562427881843919it_nat: $tType ).

thf(type_def_268,type,
    product_prod_int_num: $tType ).

thf(type_def_269,type,
    produc3839731585411834681it_nat: $tType ).

thf(type_def_270,type,
    produc9082142974458947146at_num: $tType ).

thf(type_def_271,type,
    ref_array_a: $tType ).

thf(type_def_272,type,
    ref_Product_unit: $tType ).

thf(type_def_273,type,
    set_in2553536192574375378_nat_o: $tType ).

thf(type_def_274,type,
    set_in2260935666578096390nteger: $tType ).

thf(type_def_275,type,
    set_in1345054734626228863atural: $tType ).

thf(type_def_276,type,
    set_in6154042108061588260nt_int: $tType ).

thf(type_def_277,type,
    set_na3661387095409732706nteger: $tType ).

thf(type_def_278,type,
    set_na2454399383705037859atural: $tType ).

thf(type_def_279,type,
    set_na7251125088705586816nt_int: $tType ).

thf(type_def_280,type,
    set_Pr9591959067864425nteger: $tType ).

thf(type_def_281,type,
    set_Pr7322412474522714716atural: $tType ).

thf(type_def_282,type,
    set_Pr3770298976803184519nt_int: $tType ).

thf(type_def_283,type,
    set_Pr2072254264782222413at_nat: $tType ).

thf(type_def_284,type,
    set_Pr5070339090747523585at_nat: $tType ).

thf(type_def_285,type,
    set_Pr1604112560894399303at_nat: $tType ).

thf(type_def_286,type,
    set_Pr1425283071195816930_int_o: $tType ).

thf(type_def_287,type,
    set_Pr606876518868980121eger_o: $tType ).

thf(type_def_288,type,
    set_Pr1230246726286442933_nat_o: $tType ).

thf(type_def_289,type,
    set_Pr8959645425803247153_nat_o: $tType ).

thf(type_def_290,type,
    set_Pr6358892174463501804_int_o: $tType ).

thf(type_def_291,type,
    set_Pr5582243495563764594_nat_o: $tType ).

thf(type_def_292,type,
    set_Pr7010166363911110284_nat_o: $tType ).

thf(type_def_293,type,
    set_mu2057375006010111271at_nat: $tType ).

thf(type_def_294,type,
    char: $tType ).

thf(type_def_295,type,
    set_Pr7577011563204128103nteger: $tType ).

thf(type_def_296,type,
    set_Pr2522554150109002629et_int: $tType ).

thf(type_def_297,type,
    set_Pr7140365069852192003e_term: $tType ).

thf(type_def_298,type,
    set_Pr2560585780119916871nt_int: $tType ).

thf(type_def_299,type,
    set_Pr8634505666381077339nt_int: $tType ).

thf(type_def_300,type,
    set_Pr6418322821503574069e_term: $tType ).

thf(type_def_301,type,
    set_Pr5052581263052047815nteger: $tType ).

thf(type_def_302,type,
    set_Pr1722956316086891245nteger: $tType ).

thf(type_def_303,type,
    set_Pr2161125870931222855_nat_o: $tType ).

thf(type_def_304,type,
    set_Pr7928877670098842301et_nat: $tType ).

thf(type_def_305,type,
    set_Pr3444600963470892981et_nat: $tType ).

thf(type_def_306,type,
    set_Pr719794911490849221et_nat: $tType ).

thf(type_def_307,type,
    set_Pr4675205556198584599e_term: $tType ).

thf(type_def_308,type,
    set_Pr4708930517165415495nt_int: $tType ).

thf(type_def_309,type,
    set_Pr4577759397028426247_set_o: $tType ).

thf(type_def_310,type,
    set_Pr7459493094073627847at_nat: $tType ).

thf(func_def_0,type,
    set_Pr3444600963470892981et_nat: $tType ).

thf(func_def_1,type,
    produc5657529347773406293et_nat: $tType ).

thf(func_def_2,type,
    set_Pr1722956316086891245nteger: $tType ).

thf(func_def_3,type,
    produc824974754969098637nteger: $tType ).

thf(func_def_4,type,
    set_Pr4708930517165415495nt_int: $tType ).

thf(func_def_5,type,
    produc2432570611225516007nt_int: $tType ).

thf(func_def_6,type,
    set_Pr7928877670098842301et_nat: $tType ).

thf(func_def_7,type,
    produc6830853553727218525et_nat: $tType ).

thf(func_def_8,type,
    set_Pr6418322821503574069e_term: $tType ).

thf(func_def_9,type,
    produc8187290932660736981e_term: $tType ).

thf(func_def_10,type,
    set_Pr4675205556198584599e_term: $tType ).

thf(func_def_11,type,
    set_se5120235452707311462et_nat: $tType ).

thf(func_def_12,type,
    set_Pr8634505666381077339nt_int: $tType ).

thf(func_def_13,type,
    produc4499399687821757879e_term: $tType ).

thf(func_def_14,type,
    set_Pr1230246726286442933_nat_o: $tType ).

thf(func_def_15,type,
    option2860828798490689354et_nat: $tType ).

thf(func_def_16,type,
    set_Pr7705059561495379578_nat_o: $tType ).

thf(func_def_17,type,
    set_Pr8536935166611901872et_nat: $tType ).

thf(func_def_18,type,
    produc2501202720802129403nt_int: $tType ).

thf(func_def_19,type,
    produc4193628355235574503at_nat: $tType ).

thf(func_def_20,type,
    set_Pr1457143144315775327_nat_o: $tType ).

thf(func_def_21,type,
    produc4962441903510821572_nat_o: $tType ).

thf(func_def_22,type,
    produc2732055786443039994et_nat: $tType ).

thf(func_def_23,type,
    set_Pr7459493094073627847at_nat: $tType ).

thf(func_def_24,type,
    produc1319942482725812455at_nat: $tType ).

thf(func_def_25,type,
    set_Pr5564308138774400199at_nat: $tType ).

thf(func_def_26,type,
    set_se124295367203800706nteger: $tType ).

thf(func_def_27,type,
    set_Pr606876518868980121eger_o: $tType ).

thf(func_def_28,type,
    produc1906917888121415911at_nat: $tType ).

thf(func_def_29,type,
    option8051342751916580710nteger: $tType ).

thf(func_def_30,type,
    set_Pr1628540301243981434e_term: $tType ).

thf(func_def_31,type,
    set_Pr1281608226676607948nteger: $tType ).

thf(func_def_32,type,
    set_Pr8914822823351560561eger_o: $tType ).

thf(func_def_33,type,
    produc998928222018024388e_term: $tType ).

thf(func_def_34,type,
    produc989692990947075319atural: $tType ).

thf(func_def_35,type,
    produc1908205239877642774nteger: $tType ).

thf(func_def_36,type,
    set_se2364587433798273647nt_int: $tType ).

thf(func_def_37,type,
    set_Pr6358892174463501804_int_o: $tType ).

thf(func_def_38,type,
    option7541221861074943443nt_int: $tType ).

thf(func_def_39,type,
    set_Pr7309386651551657097e_term: $tType ).

thf(func_def_40,type,
    set_Pr9222295170931077689nt_int: $tType ).

thf(func_def_41,type,
    set_Pr5050529186185961540_int_o: $tType ).

thf(func_def_42,type,
    set_se8543413830569400298et_nat: $tType ).

thf(func_def_43,type,
    set_Pr2161125870931222855_nat_o: $tType ).

thf(func_def_44,type,
    set_Pr8959645425803247153_nat_o: $tType ).

thf(func_def_45,type,
    produc1821397396195235155e_term: $tType ).

thf(func_def_46,type,
    produc2285326912895808259nt_int: $tType ).

thf(func_def_47,type,
    option5190343406534369742et_nat: $tType ).

thf(func_def_48,type,
    set_Pr7140365069852192003e_term: $tType ).

thf(func_def_49,type,
    produc3295550550304853304nteger: $tType ).

thf(func_def_50,type,
    set_Pr4208978187861016310_nat_o: $tType ).

thf(func_def_51,type,
    set_Pr3286484037609594932et_nat: $tType ).

thf(func_def_52,type,
    produc4928098042776334183_nat_o: $tType ).

thf(func_def_53,type,
    set_Pr8208987589773510107_nat_o: $tType ).

thf(func_def_54,type,
    set_Pr719794911490849221et_nat: $tType ).

thf(func_def_55,type,
    produc1945540942535730339e_term: $tType ).

thf(func_def_56,type,
    produc4130039061994950697nteger: $tType ).

thf(func_def_57,type,
    produc7172142986261921671rm_int: $tType ).

thf(func_def_58,type,
    produc6907119039986491712_nat_o: $tType ).

thf(func_def_59,type,
    produc3925858234332021118et_nat: $tType ).

thf(func_def_60,type,
    set_Pr5070339090747523585at_nat: $tType ).

thf(func_def_61,type,
    set_Pr2072254264782222413at_nat: $tType ).

thf(func_def_62,type,
    produc8111630337999740517et_nat: $tType ).

thf(func_def_63,type,
    produc5577056076408194680rm_int: $tType ).

thf(func_def_64,type,
    produc2087150632810049441at_nat: $tType ).

thf(func_def_65,type,
    produc2714363965264676845at_nat: $tType ).

thf(func_def_66,type,
    produc8731074985263844745atural: $tType ).

thf(func_def_67,type,
    produc8763457246119570046nteger: $tType ).

thf(func_def_68,type,
    set_Pr7604974323444597168e_term: $tType ).

thf(func_def_69,type,
    produc5966032636589952099nteger: $tType ).

thf(func_def_70,type,
    set_se7394616247590735609nt_int: $tType ).

thf(func_def_71,type,
    produc5219672859094816389atural: $tType ).

thf(func_def_72,type,
    set_Pr1425283071195816930_int_o: $tType ).

thf(func_def_73,type,
    produc6576344331059438605e_term: $tType ).

thf(func_def_74,type,
    set_Pr3642885161833720865e_term: $tType ).

thf(func_def_75,type,
    set_Pr552903133987017116at_nat: $tType ).

thf(func_def_76,type,
    set_Pr1625285437083415874at_nat: $tType ).

thf(func_def_77,type,
    option4256020574406277085nt_int: $tType ).

thf(func_def_78,type,
    set_Pr9020418513037773311e_term: $tType ).

thf(func_def_79,type,
    set_Pr1872883991513573699nt_int: $tType ).

thf(func_def_80,type,
    set_Pr1604112560894399303at_nat: $tType ).

thf(func_def_81,type,
    set_Pr5052581263052047815nteger: $tType ).

thf(func_def_82,type,
    produc3911288613690379145it_nat: $tType ).

thf(func_def_83,type,
    produc2867611627572283311it_nat: $tType ).

thf(func_def_84,type,
    set_in8474487674441654202_int_o: $tType ).

thf(func_def_85,type,
    set_Pr633603713510679705it_nat: $tType ).

thf(func_def_86,type,
    set_op989438649584373901at_nat: $tType ).

thf(func_def_87,type,
    option1583680563626158861at_nat: $tType ).

thf(func_def_88,type,
    produc3832618445565238089e_term: $tType ).

thf(func_def_89,type,
    produc7773217078559923341nt_int: $tType ).

thf(func_def_90,type,
    set_Pr8551490117392284871at_nat: $tType ).

thf(func_def_91,type,
    set_Pr6777250647868329861it_nat: $tType ).

thf(func_def_92,type,
    option7428179582072448501nteger: $tType ).

thf(func_def_93,type,
    set_se5479201105039950375at_nat: $tType ).

thf(func_def_94,type,
    produc7299876168958306407at_nat: $tType ).

thf(func_def_95,type,
    produc6756470014200349799atural: $tType ).

thf(func_def_96,type,
    produc3334582477557816039nteger: $tType ).

thf(func_def_97,type,
    set_Pr7010166363911110284_nat_o: $tType ).

thf(func_def_98,type,
    produc3839731585411834681it_nat: $tType ).

thf(func_def_99,type,
    set_Pr7322412474522714716atural: $tType ).

thf(func_def_100,type,
    option8699557107911914541at_nat: $tType ).

thf(func_def_101,type,
    set_op239864471688321678it_nat: $tType ).

thf(func_def_102,type,
    set_op3940070208846178154it_nat: $tType ).

thf(func_def_103,type,
    produc4166570645942440679at_nat: $tType ).

thf(func_def_104,type,
    produc2900562427881843919it_nat: $tType ).

thf(func_def_105,type,
    set_Pr4329608150637261639at_nat: $tType ).

thf(func_def_106,type,
    produc6691574917238108761nteger: $tType ).

thf(func_def_107,type,
    produc4471711990508489141at_nat: $tType ).

thf(func_def_108,type,
    set_na2454399383705037859atural: $tType ).

thf(func_def_109,type,
    set_in1345054734626228863atural: $tType ).

thf(func_def_110,type,
    produc6237349844158694175nteger: $tType ).

thf(func_def_111,type,
    set_se9180647916752606350_nat_o: $tType ).

thf(func_def_112,type,
    option8956607266484857688it_nat: $tType ).

thf(func_def_113,type,
    option3216581401566546698it_nat: $tType ).

thf(func_def_114,type,
    produc5111566536631596683et_nat: $tType ).

thf(func_def_115,type,
    produc8299537390109905600et_nat: $tType ).

thf(func_def_116,type,
    produc3843707927480180839at_nat: $tType ).

thf(func_def_117,type,
    set_Pr1354866905816374718it_nat: $tType ).

thf(func_def_118,type,
    produc3776562785724475560_o_int: $tType ).

thf(func_def_119,type,
    set_Pr457366540195662369at_nat: $tType ).

thf(func_def_120,type,
    set_Pr5142436192348053284it_nat: $tType ).

thf(func_def_121,type,
    produc6025053409261769070rm_int: $tType ).

thf(func_def_122,type,
    set_Pr2352657477744078772atural: $tType ).

thf(func_def_123,type,
    produc8065447618272157327et_nat: $tType ).

thf(func_def_124,type,
    set_Pr8693737435421807431at_nat: $tType ).

thf(func_def_125,type,
    set_Pr2560585780119916871nt_int: $tType ).

thf(func_def_126,type,
    produc8664842809031399944it_nat: $tType ).

thf(func_def_127,type,
    produc732395585841259969at_nat: $tType ).

thf(func_def_128,type,
    produc6714399278180371524it_nat: $tType ).

thf(func_def_129,type,
    set_Pr1932065953672099015od_o_o: $tType ).

thf(func_def_130,type,
    produc3981471736659609608atural: $tType ).

thf(func_def_131,type,
    produc5835291356934675326atural: $tType ).

thf(func_def_132,type,
    produc3346328345660746739nteger: $tType ).

thf(func_def_133,type,
    set_Pr4532377907799695533_nat_o: $tType ).

thf(func_def_134,type,
    produc859450856879609959at_nat: $tType ).

thf(func_def_135,type,
    produc1219242969750017639nt_int: $tType ).

thf(func_def_136,type,
    set_in3461395444621081367e_term: $tType ).

thf(func_def_137,type,
    set_Pr9591959067864425nteger: $tType ).

thf(func_def_138,type,
    option936205604648967762et_nat: $tType ).

thf(func_def_139,type,
    produc2934264451710624999od_o_o: $tType ).

thf(func_def_140,type,
    set_Pr7577011563204128103nteger: $tType ).

thf(func_def_141,type,
    set_Pr3948176798113811640et_nat: $tType ).

thf(func_def_142,type,
    produc6162884466328367972nteger: $tType ).

thf(func_def_143,type,
    set_na3661387095409732706nteger: $tType ).

thf(func_def_144,type,
    set_in2260935666578096390nteger: $tType ).

thf(func_def_145,type,
    produc4972180933644002618e_term: $tType ).

thf(func_def_146,type,
    produc6241069584506657477e_term: $tType ).

thf(func_def_147,type,
    set_se3372686590935047281atural: $tType ).

thf(func_def_148,type,
    set_in2553536192574375378_nat_o: $tType ).

thf(func_def_149,type,
    produc6491284506569428743nteger: $tType ).

thf(func_def_150,type,
    produc3658429121746597890et_nat: $tType ).

thf(func_def_151,type,
    set_Pr7477759153910077568at_num: $tType ).

thf(func_def_152,type,
    set_Pr2539167527615954998at_nat: $tType ).

thf(func_def_153,type,
    set_Pr7717912310451564380at_nat: $tType ).

thf(func_def_154,type,
    produc366245978424229472at_nat: $tType ).

thf(func_def_155,type,
    produc3313772616054891654at_nat: $tType ).

thf(func_def_156,type,
    produc5665947927044467078nt_int: $tType ).

thf(func_def_157,type,
    produc382792921321436433nt_int: $tType ).

thf(func_def_158,type,
    option5403585828896915703atural: $tType ).

thf(func_def_159,type,
    option2651255830984564193nteger: $tType ).

thf(func_def_160,type,
    set_Pr3451248702717554689st_nat: $tType ).

thf(func_def_161,type,
    set_Pr3770298976803184519nt_int: $tType ).

thf(func_def_162,type,
    produc8551481072490612790e_term: $tType ).

thf(func_def_163,type,
    set_Pr6558897299634722526_nat_o: $tType ).

thf(func_def_164,type,
    set_se5158245632345848097at_nat: $tType ).

thf(func_def_165,type,
    set_Pr5488025237498180813et_nat: $tType ).

thf(func_def_166,type,
    set_Pr2522554150109002629et_int: $tType ).

thf(func_def_167,type,
    set_Pr7564037697178849041atural: $tType ).

thf(func_def_168,type,
    set_Pr4811707699266497531nteger: $tType ).

thf(func_def_169,type,
    option6357759511663192854e_term: $tType ).

thf(func_def_170,type,
    produc6653097349344004940it_nat: $tType ).

thf(func_def_171,type,
    produc9082142974458947146at_num: $tType ).

thf(func_def_172,type,
    produc7248412053542808358at_nat: $tType ).

thf(func_def_173,type,
    produc759720530913461378nt_int: $tType ).

thf(func_def_174,type,
    set_Pr5094982260447487303t_unit: $tType ).

thf(func_def_175,type,
    set_Pr7909803484932130503_nat_o: $tType ).

thf(func_def_176,type,
    set_mu2057375006010111271at_nat: $tType ).

thf(func_def_177,type,
    set_op4508134149509766951at_nat: $tType ).

thf(func_def_178,type,
    set_na7251125088705586816nt_int: $tType ).

thf(func_def_179,type,
    set_in6154042108061588260nt_int: $tType ).

thf(func_def_180,type,
    option8963830502488799655at_nat: $tType ).

thf(func_def_181,type,
    produc1828647624359046049st_nat: $tType ).

thf(func_def_182,type,
    set_Pr698032948827214833st_nat: $tType ).

thf(func_def_183,type,
    set_Pr7549493975000385137at_nat: $tType ).

thf(func_def_184,type,
    produc652263959640188542_nat_o: $tType ).

thf(func_def_185,type,
    option8057788054806935849nteger: $tType ).

thf(func_def_186,type,
    set_se7855581050983116737at_nat: $tType ).

thf(func_def_187,type,
    set_Pr2406931829603198446nteger: $tType ).

thf(func_def_188,type,
    set_Pr8415741480598773322nteger: $tType ).

thf(func_def_189,type,
    set_Pr8986988648414616686er_nat: $tType ).

thf(func_def_190,type,
    set_Pr6496905503482889930er_int: $tType ).

thf(func_def_191,type,
    produc7819656566062154093et_nat: $tType ).

thf(func_def_192,type,
    produc2115011035271226405et_int: $tType ).

thf(func_def_193,type,
    produc7822875418678951345atural: $tType ).

thf(func_def_194,type,
    produc8923325533196201883nteger: $tType ).

thf(func_def_195,type,
    set_Pr4577759397028426247_set_o: $tType ).

thf(func_def_196,type,
    set_Pr1763845938948868674it_nat: $tType ).

thf(func_def_197,type,
    set_Pr8497134830871917726it_int: $tType ).

thf(func_def_198,type,
    set_Pr4334478416066269672t_unit: $tType ).

thf(func_def_199,type,
    set_Pr5889264611543340172t_unit: $tType ).

thf(func_def_200,type,
    set_Pr5582243495563764594_nat_o: $tType ).

thf(func_def_201,type,
    set_Co726186806682698383nteger: $tType ).

thf(func_def_202,type,
    produc7360885484439884007_nat_o: $tType ).

thf(func_def_203,type,
    multis2468970476368604999at_nat: $tType ).

thf(func_def_204,type,
    set_set_set_list_nat: $tType ).

thf(func_def_205,type,
    option4927543243414619207at_nat: $tType ).

thf(func_def_206,type,
    option4624381673175914239nt_int: $tType ).

thf(func_def_207,type,
    set_se8531188866349061887nteger: $tType ).

thf(func_def_208,type,
    set_se7118615804146677933t_unit: $tType ).

thf(func_def_209,type,
    produc4575160907756185873st_nat: $tType ).

thf(func_def_210,type,
    produc1540777390238407569at_nat: $tType ).

thf(func_def_211,type,
    set_Pr6200539531224447659at_num: $tType ).

thf(func_def_212,type,
    set_Pr1261947904930325089at_nat: $tType ).

thf(func_def_213,type,
    set_Pr7995236796853374141at_int: $tType ).

thf(func_def_214,type,
    set_Pr8387461105917469447nt_num: $tType ).

thf(func_def_215,type,
    set_Pr3448869479623346877nt_nat: $tType ).

thf(func_def_216,type,
    set_Pr958786334691620121nt_int: $tType ).

thf(func_def_217,type,
    produc2591615631378489102nteger: $tType ).

thf(func_def_218,type,
    produc2963269191615333738nteger: $tType ).

thf(func_def_219,type,
    produc7142191362829087448er_num: $tType ).

thf(func_def_220,type,
    produc6433947425880249742er_nat: $tType ).

thf(func_def_221,type,
    produc2256096406371053034er_int: $tType ).

thf(func_def_222,type,
    produc7369051934464679207_set_o: $tType ).

thf(func_def_223,type,
    set_option_set_nat: $tType ).

thf(func_def_224,type,
    set_op687863988967635939nteger: $tType ).

thf(func_def_225,type,
    set_op3165557761946182707t_unit: $tType ).

thf(func_def_226,type,
    set_nat_nat_o: $tType ).

thf(func_def_227,type,
    option8137458692691377843t_unit: $tType ).

thf(func_def_228,type,
    set_set_list_nat: $tType ).

thf(func_def_229,type,
    set_Pr3149072824959771635_nat_o: $tType ).

thf(func_def_230,type,
    set_Pr903927857289325719_int_o: $tType ).

thf(func_def_231,type,
    set_Pr7040061329075590551_o_num: $tType ).

thf(func_def_232,type,
    set_Pr2101469702781467981_o_nat: $tType ).

thf(func_def_233,type,
    set_Pr8834758594704517033_o_int: $tType ).

thf(func_def_234,type,
    produc6271795597528267376eger_o: $tType ).

thf(func_def_235,type,
    set_set_set_nat: $tType ).

thf(func_def_236,type,
    set_set_set_int: $tType ).

thf(func_def_237,type,
    set_set_Code_integer: $tType ).

thf(func_def_238,type,
    heap_T5738788834812785303t_unit: $tType ).

thf(func_def_239,type,
    heap_T6362127782908069795rray_a: $tType ).

thf(func_def_240,type,
    set_set_Product_unit: $tType ).

thf(func_def_241,type,
    heap_e7401611519738050253t_unit: $tType ).

thf(func_def_242,type,
    product_prod_num_num: $tType ).

thf(func_def_243,type,
    product_prod_nat_num: $tType ).

thf(func_def_244,type,
    product_prod_nat_nat: $tType ).

thf(func_def_245,type,
    product_prod_nat_int: $tType ).

thf(func_def_246,type,
    product_prod_int_num: $tType ).

thf(func_def_247,type,
    product_prod_int_nat: $tType ).

thf(func_def_248,type,
    product_prod_int_int: $tType ).

thf(func_def_249,type,
    set_Product_prod_o_o: $tType ).

thf(func_def_250,type,
    sum_sum_nat_nat: $tType ).

thf(func_def_251,type,
    set_option_num: $tType ).

thf(func_def_252,type,
    set_option_nat: $tType ).

thf(func_def_253,type,
    set_option_int: $tType ).

thf(func_def_254,type,
    option_set_nat: $tType ).

thf(func_def_255,type,
    option_set_int: $tType ).

thf(func_def_256,type,
    option_Code_integer: $tType ).

thf(func_def_257,type,
    option_Product_unit: $tType ).

thf(func_def_258,type,
    option_nat_o: $tType ).

thf(func_def_259,type,
    set_list_nat: $tType ).

thf(func_def_260,type,
    product_prod_nat_o: $tType ).

thf(func_def_261,type,
    product_prod_int_o: $tType ).

thf(func_def_262,type,
    product_prod_o_num: $tType ).

thf(func_def_263,type,
    product_prod_o_nat: $tType ).

thf(func_def_264,type,
    product_prod_o_int: $tType ).

thf(func_def_265,type,
    set_set_nat: $tType ).

thf(func_def_266,type,
    set_set_int: $tType ).

thf(func_def_267,type,
    set_Code_natural: $tType ).

thf(func_def_268,type,
    set_Code_integer: $tType ).

thf(func_def_269,type,
    option_assn: $tType ).

thf(func_def_270,type,
    ref_Product_unit: $tType ).

thf(func_def_271,type,
    set_Product_unit: $tType ).

thf(func_def_272,type,
    set_option_o: $tType ).

thf(func_def_273,type,
    set_nat_o: $tType ).

thf(func_def_274,type,
    option_set_o: $tType ).

thf(func_def_275,type,
    ref_array_a: $tType ).

thf(func_def_276,type,
    product_prod_o_o: $tType ).

thf(func_def_277,type,
    set_assn: $tType ).

thf(func_def_278,type,
    set_set_o: $tType ).

thf(func_def_279,type,
    option_rat: $tType ).

thf(func_def_280,type,
    option_num: $tType ).

thf(func_def_281,type,
    option_nat: $tType ).

thf(func_def_282,type,
    option_int: $tType ).

thf(func_def_283,type,
    list_char: $tType ).

thf(func_def_284,type,
    list_nat: $tType ).

thf(func_def_285,type,
    list_int: $tType ).

thf(func_def_286,type,
    set_rat: $tType ).

thf(func_def_287,type,
    set_num: $tType ).

thf(func_def_288,type,
    set_nat: $tType ).

thf(func_def_289,type,
    set_int: $tType ).

thf(func_def_290,type,
    code_natural: $tType ).

thf(func_def_291,type,
    code_integer: $tType ).

thf(func_def_292,type,
    product_unit: $tType ).

thf(func_def_293,type,
    option_o: $tType ).

thf(func_def_294,type,
    array_a: $tType ).

thf(func_def_295,type,
    list_a: $tType ).

thf(func_def_296,type,
    typerep: $tType ).

thf(func_def_297,type,
    assn: $tType ).

thf(func_def_298,type,
    set_o: $tType ).

thf(func_def_299,type,
    char: $tType ).

thf(func_def_300,type,
    rat: $tType ).

thf(func_def_301,type,
    num: $tType ).

thf(func_def_302,type,
    nat: $tType ).

thf(func_def_303,type,
    int: $tType ).

thf(func_def_304,type,
    a: $tType ).

thf(func_def_305,type,
    archim2889992004027027881ng_rat: rat > int ).

thf(func_def_306,type,
    archim3151403230148437115or_rat: rat > int ).

thf(func_def_307,type,
    archimedean_frac_rat: rat > rat ).

thf(func_def_308,type,
    archim7778729529865785530nd_rat: rat > int ).

thf(func_def_309,type,
    array_make_a: nat > ( nat > a ) > heap_T6362127782908069795rray_a ).

thf(func_def_310,type,
    array_new_a: nat > a > heap_T6362127782908069795rray_a ).

thf(func_def_311,type,
    array_of_list_a: list_a > heap_T6362127782908069795rray_a ).

thf(func_def_312,type,
    rep_assn: assn > produc3658429121746597890et_nat > $o ).

thf(func_def_313,type,
    in_range: produc3658429121746597890et_nat > $o ).

thf(func_def_314,type,
    in_range_rel: produc3658429121746597890et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_315,type,
    one_assn_raw: produc3658429121746597890et_nat > $o ).

thf(func_def_316,type,
    one_assn_raw_rel: produc3658429121746597890et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_317,type,
    proper: ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_318,type,
    pure_assn: $o > assn ).

thf(func_def_319,type,
    relH: set_nat > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > $o ).

thf(func_def_320,type,
    times_assn_raw: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_321,type,
    times_assn_raw_rel: produc2732055786443039994et_nat > produc2732055786443039994et_nat > $o ).

thf(func_def_322,type,
    wand_assn: assn > assn > assn ).

thf(func_def_323,type,
    wand_raw: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_324,type,
    wand_raw_rel: produc2732055786443039994et_nat > produc2732055786443039994et_nat > $o ).

thf(func_def_325,type,
    bNF_Cardinal_ctwo: set_Product_prod_o_o ).

thf(func_def_326,type,
    bNF_Cardinal_czero_o: set_Product_prod_o_o ).

thf(func_def_327,type,
    bNF_Ca3793111618940312692of_nat: set_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_328,type,
    bNF_Ca8331644756375544342r_on_o: set_o > set_Product_prod_o_o > $o ).

thf(func_def_329,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

thf(func_def_330,type,
    bNF_re2555365631850037877_int_o: ( ( ( int > $o ) > int > $o ) > ( ( int > $o ) > int > $o ) > $o ) > ( ( ( int > int > $o ) > int > int > $o ) > ( ( int > int > $o ) > int > int > $o ) > $o ) > ( ( ( int > $o ) > int > $o ) > ( int > int > $o ) > int > int > $o ) > ( ( ( int > $o ) > int > $o ) > ( int > int > $o ) > int > int > $o ) > $o ).

thf(func_def_331,type,
    bNF_re5051145820034318685nt_int: ( ( ( int > $o ) > int > int ) > ( ( int > $o ) > int > int ) > $o ) > ( ( ( int > int > $o ) > int > int > int ) > ( ( int > int > $o ) > int > int > int ) > $o ) > ( ( ( int > $o ) > int > int ) > ( int > int > $o ) > int > int > int ) > ( ( ( int > $o ) > int > int ) > ( int > int > $o ) > int > int > int ) > $o ).

thf(func_def_332,type,
    bNF_re615132412071444453_nat_o: ( ( ( int > $o ) > nat > $o ) > ( ( int > $o ) > nat > $o ) > $o ) > ( ( ( int > int > $o ) > int > nat > $o ) > ( ( int > int > $o ) > int > nat > $o ) > $o ) > ( ( ( int > $o ) > nat > $o ) > ( int > int > $o ) > int > nat > $o ) > ( ( ( int > $o ) > nat > $o ) > ( int > int > $o ) > int > nat > $o ) > $o ).

thf(func_def_333,type,
    bNF_re3161894838932316637_int_o: ( ( ( int > int ) > int > $o ) > ( ( int > int ) > int > $o ) > $o ) > ( ( ( int > int > int ) > int > int > $o ) > ( ( int > int > int ) > int > int > $o ) > $o ) > ( ( ( int > int ) > int > $o ) > ( int > int > int ) > int > int > $o ) > ( ( ( int > int ) > int > $o ) > ( int > int > int ) > int > int > $o ) > $o ).

thf(func_def_334,type,
    bNF_re4659646225794970589_nat_o: ( ( ( int > int ) > nat > $o ) > ( ( int > int ) > nat > $o ) > $o ) > ( ( ( int > int > int ) > int > nat > $o ) > ( ( int > int > int ) > int > nat > $o ) > $o ) > ( ( ( int > int ) > nat > $o ) > ( int > int > int ) > int > nat > $o ) > ( ( ( int > int ) > nat > $o ) > ( int > int > int ) > int > nat > $o ) > $o ).

thf(func_def_335,type,
    bNF_re3491090157995142405_int_o: ( ( ( nat > $o ) > int > $o ) > ( ( nat > $o ) > int > $o ) > $o ) > ( ( ( int > nat > $o ) > int > int > $o ) > ( ( int > nat > $o ) > int > int > $o ) > $o ) > ( ( ( nat > $o ) > int > $o ) > ( int > nat > $o ) > int > int > $o ) > ( ( ( nat > $o ) > int > $o ) > ( int > nat > $o ) > int > int > $o ) > $o ).

thf(func_def_336,type,
    bNF_re5539255234643219293nt_int: ( ( ( nat > $o ) > int > int ) > ( ( nat > $o ) > int > int ) > $o ) > ( ( ( int > nat > $o ) > int > int > int ) > ( ( int > nat > $o ) > int > int > int ) > $o ) > ( ( ( nat > $o ) > int > int ) > ( int > nat > $o ) > int > int > int ) > ( ( ( nat > $o ) > int > int ) > ( int > nat > $o ) > int > int > int ) > $o ).

thf(func_def_337,type,
    bNF_re1550856938216548981_nat_o: ( ( ( nat > $o ) > nat > $o ) > ( ( nat > $o ) > nat > $o ) > $o ) > ( ( ( int > nat > $o ) > int > nat > $o ) > ( ( int > nat > $o ) > int > nat > $o ) > $o ) > ( ( ( nat > $o ) > nat > $o ) > ( int > nat > $o ) > int > nat > $o ) > ( ( ( nat > $o ) > nat > $o ) > ( int > nat > $o ) > int > nat > $o ) > $o ).

thf(func_def_338,type,
    bNF_re4919612610145136063nteger: ( ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > $o ) > ( ( ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( num > code_integer ) > num > code_integer ) > $o ) > ( ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ) > $o ).

thf(func_def_339,type,
    bNF_re1890273300020150979nt_num: ( ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( nat > num ) > $o ) > ( ( ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( int > nat ) > int > num ) > $o ) > ( ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).

thf(func_def_340,type,
    bNF_re8134695817916415679nteger: ( ( code_integer > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( ( ( num > code_integer ) > num > code_integer ) > ( ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ) > ( ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).

thf(func_def_341,type,
    bNF_re5979881370344185769nteger: ( ( code_integer > code_integer ) > ( code_integer > code_integer ) > $o ) > ( ( ( num > code_integer ) > num > code_integer ) > ( ( num > code_integer ) > num > code_integer ) > $o ) > ( ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ) > ( ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ) > $o ).

thf(func_def_342,type,
    bNF_re5190287125156074331nt_num: ( ( code_integer > code_integer ) > ( int > nat ) > $o ) > ( ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( int > num ) > $o ) > ( ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( int > nat ) > int > num ) > $o ).

thf(func_def_343,type,
    bNF_re5469402333911078061nt_num: ( ( code_integer > code_integer ) > ( nat > num ) > $o ) > ( ( ( num > code_integer ) > num > code_integer ) > ( ( int > nat ) > int > num ) > $o ) > ( ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).

thf(func_def_344,type,
    bNF_re6724329528997265415nteger: ( ( code_integer > code_integer ) > ( num > code_integer ) > $o ) > ( ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( num > code_integer ) > $o ) > ( ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( num > code_integer ) > num > code_integer ) > $o ).

thf(func_def_345,type,
    bNF_re1900612664124570461_int_o: ( ( int > int > $o ) > ( int > int > $o ) > $o ) > ( ( ( int > int ) > int > int > $o ) > ( ( int > int ) > int > int > $o ) > $o ) > ( ( int > int > $o ) > ( int > int ) > int > int > $o ) > ( ( int > int > $o ) > ( int > int ) > int > int > $o ) > $o ).

thf(func_def_346,type,
    bNF_re8651060166502312541_int_o: ( ( int > int > $o ) > ( int > int > $o ) > $o ) > ( ( int > int > $o ) > ( int > int > $o ) > $o ) > ( ( int > int > $o ) > int > int > $o ) > ( ( int > int > $o ) > int > int > $o ) > $o ).

thf(func_def_347,type,
    bNF_re7462748251485907171nt_int: ( ( int > int > $o ) > ( int > int > $o ) > $o ) > ( ( int > int > int ) > ( int > int > int ) > $o ) > ( ( int > int > $o ) > int > int > int ) > ( ( int > int > $o ) > int > int > int ) > $o ).

thf(func_def_348,type,
    bNF_re2446162618891206493_nat_o: ( ( int > int > $o ) > ( int > int > $o ) > $o ) > ( ( int > nat > $o ) > ( int > nat > $o ) > $o ) > ( ( int > int > $o ) > int > nat > $o ) > ( ( int > int > $o ) > int > nat > $o ) > $o ).

thf(func_def_349,type,
    bNF_re4984751527058004117nt_int: ( ( int > int > int ) > ( int > int > int ) > $o ) > ( ( ( int > int ) > int > int > int ) > ( ( int > int ) > int > int > int ) > $o ) > ( ( int > int > int ) > ( int > int ) > int > int > int ) > ( ( int > int > int ) > ( int > int ) > int > int > int ) > $o ).

thf(func_def_350,type,
    bNF_re1313934062736347107_int_o: ( ( int > int > int ) > ( int > int > int ) > $o ) > ( ( int > int > $o ) > ( int > int > $o ) > $o ) > ( ( int > int > int ) > int > int > $o ) > ( ( int > int > int ) > int > int > $o ) > $o ).

thf(func_def_351,type,
    bNF_re4332408551980016867_nat_o: ( ( int > int > int ) > ( int > int > int ) > $o ) > ( ( int > nat > $o ) > ( int > nat > $o ) > $o ) > ( ( int > int > int ) > int > nat > $o ) > ( ( int > int > int ) > int > nat > $o ) > $o ).

thf(func_def_352,type,
    bNF_re62019127700022579nt_rat: ( ( int > int > product_prod_int_int ) > ( int > int > rat ) > $o ) > ( ( ( int > int ) > int > int > product_prod_int_int ) > ( ( int > int ) > int > int > rat ) > $o ) > ( ( int > int > product_prod_int_int ) > ( int > int ) > int > int > product_prod_int_int ) > ( ( int > int > rat ) > ( int > int ) > int > int > rat ) > $o ).

thf(func_def_353,type,
    bNF_re7908124382625962333_nat_o: ( ( int > nat > $o ) > ( int > nat > $o ) > $o ) > ( ( ( int > int ) > int > nat > $o ) > ( ( int > int ) > int > nat > $o ) > $o ) > ( ( int > nat > $o ) > ( int > int ) > int > nat > $o ) > ( ( int > nat > $o ) > ( int > int ) > int > nat > $o ) > $o ).

thf(func_def_354,type,
    bNF_re2655111580231008093_int_o: ( ( int > nat > $o ) > ( int > nat > $o ) > $o ) > ( ( int > int > $o ) > ( int > int > $o ) > $o ) > ( ( int > nat > $o ) > int > int > $o ) > ( ( int > nat > $o ) > int > int > $o ) > $o ).

thf(func_def_355,type,
    bNF_re7395152722673581539nt_int: ( ( int > nat > $o ) > ( int > nat > $o ) > $o ) > ( ( int > int > int ) > ( int > int > int ) > $o ) > ( ( int > nat > $o ) > int > int > int ) > ( ( int > nat > $o ) > int > int > int ) > $o ).

thf(func_def_356,type,
    bNF_re5673586069474677853_nat_o: ( ( int > nat > $o ) > ( int > nat > $o ) > $o ) > ( ( int > nat > $o ) > ( int > nat > $o ) > $o ) > ( ( int > nat > $o ) > int > nat > $o ) > ( ( int > nat > $o ) > int > nat > $o ) > $o ).

thf(func_def_357,type,
    bNF_re2535741173671728349_nat_o: ( ( int > $o ) > ( int > $o ) > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( ( int > $o ) > nat > $o ) > ( ( int > $o ) > nat > $o ) > $o ).

thf(func_def_358,type,
    bNF_re3014639844587090765_int_o: ( ( int > int ) > ( int > int ) > $o ) > ( ( int > int > $o ) > ( int > int > $o ) > $o ) > ( ( int > int ) > int > int > $o ) > ( ( int > int ) > int > int > $o ) > $o ).

thf(func_def_359,type,
    bNF_re724639330072410579nt_int: ( ( int > int ) > ( int > int ) > $o ) > ( ( int > int > int ) > ( int > int > int ) > $o ) > ( ( int > int ) > int > int > int ) > ( ( int > int ) > int > int > int ) > $o ).

thf(func_def_360,type,
    bNF_re949775918795716016nt_rat: ( ( int > int ) > ( int > int ) > $o ) > ( ( int > int > product_prod_int_int ) > ( int > int > rat ) > $o ) > ( ( int > int ) > int > int > product_prod_int_int ) > ( ( int > int ) > int > int > rat ) > $o ).

thf(func_def_361,type,
    bNF_re6033114333830760525_nat_o: ( ( int > int ) > ( int > int ) > $o ) > ( ( int > nat > $o ) > ( int > nat > $o ) > $o ) > ( ( int > int ) > int > nat > $o ) > ( ( int > int ) > int > nat > $o ) > $o ).

thf(func_def_362,type,
    bNF_re9099949428469764705nt_num: ( ( int > nat ) > ( int > nat ) > $o ) > ( ( int > num ) > ( int > num ) > $o ) > ( ( int > nat ) > int > num ) > ( ( int > nat ) > int > num ) > $o ).

thf(func_def_363,type,
    bNF_re8894579221946749965nteger: ( ( int > nat ) > ( num > code_integer ) > $o ) > ( ( int > num ) > ( num > code_integer ) > $o ) > ( ( int > nat ) > int > num ) > ( ( num > code_integer ) > num > code_integer ) > $o ).

thf(func_def_364,type,
    bNF_re2724346968851715293_int_o: ( ( nat > $o ) > ( nat > $o ) > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( ( nat > $o ) > int > $o ) > ( ( nat > $o ) > int > $o ) > $o ).

thf(func_def_365,type,
    bNF_re7183634743573646861nt_int: ( ( nat > $o ) > ( nat > $o ) > $o ) > ( ( int > int ) > ( int > int ) > $o ) > ( ( nat > $o ) > int > int ) > ( ( nat > $o ) > int > int ) > $o ).

thf(func_def_366,type,
    bNF_re2697311982885662685_nat_o: ( ( nat > $o ) > ( nat > $o ) > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( ( nat > $o ) > nat > $o ) > ( ( nat > $o ) > nat > $o ) > $o ).

thf(func_def_367,type,
    bNF_re2163612987331707565nteger: ( ( nat > num ) > ( code_integer > code_integer ) > $o ) > ( ( ( int > nat ) > int > num ) > ( ( num > code_integer ) > num > code_integer ) > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > ( ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ) > $o ).

thf(func_def_368,type,
    bNF_re3846787885862361009nt_num: ( ( nat > num ) > ( nat > num ) > $o ) > ( ( ( int > nat ) > int > num ) > ( ( int > nat ) > int > num ) > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).

thf(func_def_369,type,
    bNF_re2439920061672227847nteger: ( ( num > code_integer ) > ( code_integer > code_integer ) > $o ) > ( ( num > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( ( num > code_integer ) > num > code_integer ) > ( ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).

thf(func_def_370,type,
    bNF_re1151383970801924621nt_num: ( ( num > code_integer ) > ( int > nat ) > $o ) > ( ( num > code_integer ) > ( int > num ) > $o ) > ( ( num > code_integer ) > num > code_integer ) > ( ( int > nat ) > int > num ) > $o ).

thf(func_def_371,type,
    bNF_re6097285183634142137nteger: ( ( num > code_integer ) > ( num > code_integer ) > $o ) > ( ( num > code_integer ) > ( num > code_integer ) > $o ) > ( ( num > code_integer ) > num > code_integer ) > ( ( num > code_integer ) > num > code_integer ) > $o ).

thf(func_def_372,type,
    bNF_re1551779926989065179nt_nat: ( $o > $o > $o ) > ( int > nat > $o ) > ( $o > int ) > ( $o > nat ) > $o ).

thf(func_def_373,type,
    bNF_re916649866902569443nt_rat: ( $o > $o > $o ) > ( int > rat > $o ) > ( $o > int ) > ( $o > rat ) > $o ).

thf(func_def_374,type,
    bNF_re4863541036035986956nteger: ( $o > $o > $o ) > ( nat > code_integer > $o ) > ( $o > nat ) > ( $o > code_integer ) > $o ).

thf(func_def_375,type,
    bNF_re549935744578960347at_int: ( $o > $o > $o ) > ( nat > int > $o ) > ( $o > nat ) > ( $o > int ) > $o ).

thf(func_def_376,type,
    bNF_re552426215088010623at_nat: ( $o > $o > $o ) > ( nat > nat > $o ) > ( $o > nat ) > ( $o > nat ) > $o ).

thf(func_def_377,type,
    bNF_re9140668191856290695at_rat: ( $o > $o > $o ) > ( nat > rat > $o ) > ( $o > nat ) > ( $o > rat ) > $o ).

thf(func_def_378,type,
    bNF_re5635613845597506580nteger: ( $o > $o > $o ) > ( rat > code_integer > $o ) > ( $o > rat ) > ( $o > code_integer ) > $o ).

thf(func_def_379,type,
    bNF_re233381100644094435at_int: ( $o > $o > $o ) > ( rat > int > $o ) > ( $o > rat ) > ( $o > int ) > $o ).

thf(func_def_380,type,
    bNF_re235871571153144711at_nat: ( $o > $o > $o ) > ( rat > nat > $o ) > ( $o > rat ) > ( $o > nat ) > $o ).

thf(func_def_381,type,
    bNF_re8824113547921424783at_rat: ( $o > $o > $o ) > ( rat > rat > $o ) > ( $o > rat ) > ( $o > rat ) > $o ).

thf(func_def_382,type,
    bNF_re9137223911888007311n_assn: ( assn > assn > $o ) > ( ( assn > assn ) > ( assn > assn ) > $o ) > ( assn > assn > assn ) > ( assn > assn > assn ) > $o ).

thf(func_def_383,type,
    bNF_re3650450707543776735t_assn: ( assn > assn > $o ) > ( ( nat > assn ) > ( nat > assn ) > $o ) > ( assn > nat > assn ) > ( assn > nat > assn ) > $o ).

thf(func_def_384,type,
    bNF_re1143782165119297793n_assn: ( assn > assn > $o ) > ( assn > assn > $o ) > ( assn > assn ) > ( assn > assn ) > $o ).

thf(func_def_385,type,
    bNF_re5822757241383739566nteger: ( assn > code_integer > $o ) > ( ( assn > assn ) > ( code_integer > code_integer ) > $o ) > ( assn > assn > assn ) > ( code_integer > code_integer > code_integer ) > $o ).

thf(func_def_386,type,
    bNF_re2102180915162216137nteger: ( assn > code_integer > $o ) > ( ( nat > assn ) > ( nat > code_integer ) > $o ) > ( assn > nat > assn ) > ( code_integer > nat > code_integer ) > $o ).

thf(func_def_387,type,
    bNF_re4134162077946812779nteger: ( assn > code_integer > $o ) > ( assn > code_integer > $o ) > ( assn > assn ) > ( code_integer > code_integer ) > $o ).

thf(func_def_388,type,
    bNF_re7882741803053012379nt_int: ( assn > int > $o ) > ( ( assn > assn ) > ( int > int ) > $o ) > ( assn > assn > assn ) > ( int > int > int ) > $o ).

thf(func_def_389,type,
    bNF_re185025794348816359at_int: ( assn > int > $o ) > ( ( nat > assn ) > ( nat > int ) > $o ) > ( assn > nat > assn ) > ( int > nat > int ) > $o ).

thf(func_def_390,type,
    bNF_re2927800259774540553sn_int: ( assn > int > $o ) > ( assn > int > $o ) > ( assn > assn ) > ( int > int ) > $o ).

thf(func_def_391,type,
    bNF_re4386305596031132807at_nat: ( assn > nat > $o ) > ( ( assn > assn ) > ( nat > nat ) > $o ) > ( assn > assn > assn ) > ( nat > nat > nat ) > $o ).

thf(func_def_392,type,
    bNF_re8560028565313717551at_nat: ( assn > nat > $o ) > ( ( nat > assn ) > ( nat > nat ) > $o ) > ( assn > nat > assn ) > ( nat > nat > nat ) > $o ).

thf(func_def_393,type,
    bNF_re6742580585434904145sn_nat: ( assn > nat > $o ) > ( assn > nat > $o ) > ( assn > assn ) > ( nat > nat ) > $o ).

thf(func_def_394,type,
    bNF_re967558844708792991at_rat: ( assn > rat > $o ) > ( ( assn > assn ) > ( rat > rat ) > $o ) > ( assn > assn > assn ) > ( rat > rat > rat ) > $o ).

thf(func_def_395,type,
    bNF_re6138836914430330175at_rat: ( assn > rat > $o ) > ( ( nat > assn ) > ( nat > rat ) > $o ) > ( assn > nat > assn ) > ( rat > nat > rat ) > $o ).

thf(func_def_396,type,
    bNF_re9003240792272343649sn_rat: ( assn > rat > $o ) > ( assn > rat > $o ) > ( assn > assn ) > ( rat > rat ) > $o ).

thf(func_def_397,type,
    bNF_re7789648203153440174n_assn: ( code_integer > assn > $o ) > ( ( code_integer > code_integer ) > ( assn > assn ) > $o ) > ( code_integer > code_integer > code_integer ) > ( assn > assn > assn ) > $o ).

thf(func_def_398,type,
    bNF_re2546461910754330953t_assn: ( code_integer > assn > $o ) > ( ( nat > code_integer ) > ( nat > assn ) > $o ) > ( code_integer > nat > code_integer ) > ( assn > nat > assn ) > $o ).

thf(func_def_399,type,
    bNF_re1475883931861434731r_assn: ( code_integer > assn > $o ) > ( code_integer > assn > $o ) > ( code_integer > code_integer ) > ( assn > assn ) > $o ).

thf(func_def_400,type,
    bNF_re122555440370955213nteger: ( code_integer > code_integer > $o ) > ( ( code_integer > code_integer ) > ( code_integer > code_integer ) > $o ) > ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer > code_integer ) > $o ).

thf(func_def_401,type,
    bNF_re5462749793222359603nteger: ( code_integer > code_integer > $o ) > ( ( nat > code_integer ) > ( nat > code_integer ) > $o ) > ( code_integer > nat > code_integer ) > ( code_integer > nat > code_integer ) > $o ).

thf(func_def_402,type,
    bNF_re4341081746073172381nteger: ( code_integer > code_integer > $o ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > $o ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > $o ).

thf(func_def_403,type,
    bNF_re3370092614548195229nteger: ( code_integer > code_integer > $o ) > ( code_integer > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( code_integer > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).

thf(func_def_404,type,
    bNF_re1062419521925302741nteger: ( code_integer > code_integer > $o ) > ( code_integer > code_integer > $o ) > ( code_integer > code_integer ) > ( code_integer > code_integer ) > $o ).

thf(func_def_405,type,
    bNF_re8304916493157054650nt_int: ( code_integer > int > $o ) > ( ( code_integer > code_integer ) > ( int > int ) > $o ) > ( code_integer > code_integer > code_integer ) > ( int > int > int ) > $o ).

thf(func_def_406,type,
    bNF_re6766650671887726929at_int: ( code_integer > int > $o ) > ( ( nat > code_integer ) > ( nat > int ) > $o ) > ( code_integer > nat > code_integer ) > ( int > nat > int ) > $o ).

thf(func_def_407,type,
    bNF_re8127238762813979689er_num: ( code_integer > int > $o ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > num > $o ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( int > num ) > $o ).

thf(func_def_408,type,
    bNF_re2888858428391045491er_int: ( code_integer > int > $o ) > ( code_integer > int > $o ) > ( code_integer > code_integer ) > ( int > int ) > $o ).

thf(func_def_409,type,
    bNF_re2891348898900095767er_nat: ( code_integer > int > $o ) > ( code_integer > nat > $o ) > ( code_integer > code_integer ) > ( int > nat ) > $o ).

thf(func_def_410,type,
    bNF_re3981674901896804262at_nat: ( code_integer > nat > $o ) > ( ( code_integer > code_integer ) > ( nat > nat ) > $o ) > ( code_integer > code_integer > code_integer ) > ( nat > nat > nat ) > $o ).

thf(func_def_411,type,
    bNF_re4269568176766901913at_nat: ( code_integer > nat > $o ) > ( ( nat > code_integer ) > ( nat > nat ) > $o ) > ( code_integer > nat > code_integer ) > ( nat > nat > nat ) > $o ).

thf(func_def_412,type,
    bNF_re7119966052990372301er_num: ( code_integer > nat > $o ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > num > $o ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( nat > num ) > $o ).

thf(func_def_413,type,
    bNF_re5201166830993046715er_nat: ( code_integer > nat > $o ) > ( code_integer > nat > $o ) > ( code_integer > code_integer ) > ( nat > nat ) > $o ).

thf(func_def_414,type,
    bNF_re1758498617148825349er_num: ( code_integer > nat > $o ) > ( code_integer > num > $o ) > ( code_integer > code_integer ) > ( nat > num ) > $o ).

thf(func_def_415,type,
    bNF_re166502229267952730nteger: ( code_integer > num > $o ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > $o ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( num > code_integer ) > $o ).

thf(func_def_416,type,
    bNF_re7350422212947406738nteger: ( code_integer > num > $o ) > ( code_integer > code_integer > $o ) > ( code_integer > code_integer ) > ( num > code_integer ) > $o ).

thf(func_def_417,type,
    bNF_re2976496150901874110at_rat: ( code_integer > rat > $o ) > ( ( code_integer > code_integer ) > ( rat > rat ) > $o ) > ( code_integer > code_integer > code_integer ) > ( rat > rat > rat ) > $o ).

thf(func_def_418,type,
    bNF_re1167376069379428009at_rat: ( code_integer > rat > $o ) > ( ( nat > code_integer ) > ( nat > rat ) > $o ) > ( code_integer > nat > code_integer ) > ( rat > nat > rat ) > $o ).

thf(func_def_419,type,
    bNF_re4698098036185532619er_rat: ( code_integer > rat > $o ) > ( code_integer > rat > $o ) > ( code_integer > code_integer ) > ( rat > rat ) > $o ).

thf(func_def_420,type,
    bNF_re6321650412969554871eger_o: ( int > code_integer > $o ) > ( ( int > $o ) > ( code_integer > $o ) > $o ) > ( int > int > $o ) > ( code_integer > code_integer > $o ) > $o ).

thf(func_def_421,type,
    bNF_re398004352372739002nteger: ( int > code_integer > $o ) > ( ( int > int ) > ( code_integer > code_integer ) > $o ) > ( int > int > int ) > ( code_integer > code_integer > code_integer ) > $o ).

thf(func_def_422,type,
    bNF_re4711666741709854504_nat_o: ( int > code_integer > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( int > nat > $o ) > ( code_integer > nat > $o ) > $o ).

thf(func_def_423,type,
    bNF_re6574881592172037608er_o_o: ( int > code_integer > $o ) > ( $o > $o > $o ) > ( int > $o ) > ( code_integer > $o ) > $o ).

thf(func_def_424,type,
    bNF_re3379532845092657523nteger: ( int > code_integer > $o ) > ( int > code_integer > $o ) > ( int > int ) > ( code_integer > code_integer ) > $o ).

thf(func_def_425,type,
    bNF_re3804157879324367682nt_int: ( int > code_integer > $o ) > ( int > int > $o ) > ( int > int ) > ( code_integer > int ) > $o ).

thf(func_def_426,type,
    bNF_re1831474436612530402atural: ( int > code_integer > $o ) > ( nat > code_natural > $o ) > ( int > nat ) > ( code_integer > code_natural ) > $o ).

thf(func_def_427,type,
    bNF_re2807294637932363402at_nat: ( int > code_integer > $o ) > ( nat > nat > $o ) > ( int > nat ) > ( code_integer > nat ) > $o ).

thf(func_def_428,type,
    bNF_re6718328864250387230um_num: ( int > code_integer > $o ) > ( num > num > $o ) > ( int > num ) > ( code_integer > num ) > $o ).

thf(func_def_429,type,
    bNF_re2342410721167621787atural: ( int > code_natural > $o ) > ( ( int > int ) > ( code_natural > code_natural ) > $o ) > ( int > int > int ) > ( code_natural > code_natural > code_natural ) > $o ).

thf(func_def_430,type,
    bNF_re5484556299188842761atural: ( int > code_natural > $o ) > ( int > code_natural > $o ) > ( int > int ) > ( code_natural > code_natural ) > $o ).

thf(func_def_431,type,
    bNF_re3403563459893282935_int_o: ( int > int > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( int > int > $o ) > ( int > int > $o ) > $o ).

thf(func_def_432,type,
    bNF_re711492959462206631nt_int: ( int > int > $o ) > ( ( int > int ) > ( int > int ) > $o ) > ( int > int > int ) > ( int > int > int ) > $o ).

thf(func_def_433,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_434,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_435,type,
    bNF_re3376528473927230327_nat_o: ( int > int > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( int > nat > $o ) > ( int > nat > $o ) > $o ).

thf(func_def_436,type,
    bNF_re5089333283451836215nt_o_o: ( int > int > $o ) > ( $o > $o > $o ) > ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_437,type,
    bNF_re1784066744496875891nteger: ( int > int > $o ) > ( code_integer > code_integer > $o ) > ( int > code_integer ) > ( int > code_integer ) > $o ).

thf(func_def_438,type,
    bNF_re343602593470180162er_int: ( int > int > $o ) > ( code_integer > int > $o ) > ( int > code_integer ) > ( int > int ) > $o ).

thf(func_def_439,type,
    bNF_re8934335040747510510er_rat: ( int > int > $o ) > ( code_integer > rat > $o ) > ( int > code_integer ) > ( int > rat ) > $o ).

thf(func_def_440,type,
    bNF_re6290619412732081552atural: ( int > int > $o ) > ( code_natural > produc7822875418678951345atural > $o ) > ( int > code_natural ) > ( int > produc7822875418678951345atural ) > $o ).

thf(func_def_441,type,
    bNF_re982302072995117890nteger: ( int > int > $o ) > ( int > code_integer > $o ) > ( int > int ) > ( int > code_integer ) > $o ).

thf(func_def_442,type,
    bNF_re4712519889275205905nt_int: ( int > int > $o ) > ( int > int > $o ) > ( int > int ) > ( int > int ) > $o ).

thf(func_def_443,type,
    bNF_re4079880299697760445nt_rat: ( int > int > $o ) > ( int > rat > $o ) > ( int > int ) > ( int > rat ) > $o ).

thf(func_def_444,type,
    bNF_re3715656647883201625at_nat: ( int > int > $o ) > ( nat > nat > $o ) > ( int > nat ) > ( int > nat ) > $o ).

thf(func_def_445,type,
    bNF_re7626690874201225453um_num: ( int > int > $o ) > ( num > num > $o ) > ( int > num ) > ( int > num ) > $o ).

thf(func_def_446,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_447,type,
    bNF_re2214769303045360666nt_rat: ( int > int > $o ) > ( product_prod_int_int > rat > $o ) > ( int > product_prod_int_int ) > ( int > rat ) > $o ).

thf(func_def_448,type,
    bNF_re1382721322319792878nteger: ( int > int > $o ) > ( rat > code_integer > $o ) > ( int > rat ) > ( int > code_integer ) > $o ).

thf(func_def_449,type,
    bNF_re3396611533439285437at_int: ( int > int > $o ) > ( rat > int > $o ) > ( int > rat ) > ( int > int ) > $o ).

thf(func_def_450,type,
    bNF_re2763971943861839977at_rat: ( int > int > $o ) > ( rat > rat > $o ) > ( int > rat ) > ( int > rat ) > $o ).

thf(func_def_451,type,
    bNF_re5416042074812042131at_nat: ( int > nat > $o ) > ( ( int > int ) > ( nat > nat ) > $o ) > ( int > int > int ) > ( nat > nat > nat ) > $o ).

thf(func_def_452,type,
    bNF_re4343356799547411545nt_nat: ( int > nat > $o ) > ( int > nat > $o ) > ( int > int ) > ( nat > nat ) > $o ).

thf(func_def_453,type,
    bNF_re151304249936775380nteger: ( int > num > $o ) > ( nat > code_integer > $o ) > ( int > nat ) > ( num > code_integer ) > $o ).

thf(func_def_454,type,
    bNF_re7315484114762210078nteger: ( int > num > $o ) > ( num > code_integer > $o ) > ( int > num ) > ( num > code_integer ) > $o ).

thf(func_def_455,type,
    bNF_re7661208983170134443at_rat: ( int > rat > $o ) > ( ( int > int ) > ( rat > rat ) > $o ) > ( int > int > int ) > ( rat > rat > rat ) > $o ).

thf(func_def_456,type,
    bNF_re4480299549022435433nt_rat: ( int > rat > $o ) > ( int > rat > $o ) > ( int > int ) > ( rat > rat ) > $o ).

thf(func_def_457,type,
    bNF_re7367609096550055590nteger: ( nat > code_integer > $o ) > ( ( nat > nat ) > ( code_integer > code_integer ) > $o ) > ( nat > nat > nat ) > ( code_integer > code_integer > code_integer ) > $o ).

thf(func_def_458,type,
    bNF_re1599192376174140603nteger: ( nat > code_integer > $o ) > ( nat > code_integer > $o ) > ( nat > nat ) > ( code_integer > code_integer ) > $o ).

thf(func_def_459,type,
    bNF_re8763372240999575301nteger: ( nat > code_integer > $o ) > ( num > code_integer > $o ) > ( nat > num ) > ( code_integer > code_integer ) > $o ).

thf(func_def_460,type,
    bNF_re1639080489988575423ural_o: ( nat > code_natural > $o ) > ( ( nat > $o ) > ( code_natural > $o ) > $o ) > ( nat > nat > $o ) > ( code_natural > code_natural > $o ) > $o ).

thf(func_def_461,type,
    bNF_re2895713572246619415_nat_o: ( nat > code_natural > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( nat > nat > $o ) > ( code_natural > nat > $o ) > $o ).

thf(func_def_462,type,
    bNF_re88643428490162567atural: ( nat > code_natural > $o ) > ( ( nat > nat ) > ( code_natural > code_natural ) > $o ) > ( nat > nat > nat ) > ( code_natural > code_natural > code_natural ) > $o ).

thf(func_def_463,type,
    bNF_re2785088596696291543al_o_o: ( nat > code_natural > $o ) > ( $o > $o > $o ) > ( nat > $o ) > ( code_natural > $o ) > $o ).

thf(func_def_464,type,
    bNF_re5252274238750452962nteger: ( nat > code_natural > $o ) > ( int > code_integer > $o ) > ( nat > int ) > ( code_natural > code_integer ) > $o ).

thf(func_def_465,type,
    bNF_re3704215830270325841atural: ( nat > code_natural > $o ) > ( nat > code_natural > $o ) > ( nat > nat ) > ( code_natural > code_natural ) > $o ).

thf(func_def_466,type,
    bNF_re7333046803109187065at_nat: ( nat > code_natural > $o ) > ( nat > nat > $o ) > ( nat > nat ) > ( code_natural > nat ) > $o ).

thf(func_def_467,type,
    bNF_re5864104203909894035nt_int: ( nat > int > $o ) > ( ( nat > nat ) > ( int > int ) > $o ) > ( nat > nat > nat ) > ( int > int > int ) > $o ).

thf(func_def_468,type,
    bNF_re6022984109467102297at_int: ( nat > int > $o ) > ( nat > int > $o ) > ( nat > nat ) > ( int > int ) > $o ).

thf(func_def_469,type,
    bNF_re4935368626670024657nteger: ( nat > nat > $o ) > ( ( int > int ) > ( code_integer > code_integer ) > $o ) > ( nat > int > int ) > ( nat > code_integer > code_integer ) > $o ).

thf(func_def_470,type,
    bNF_re4785983289428654063nt_int: ( nat > nat > $o ) > ( ( int > int ) > ( int > int ) > $o ) > ( nat > int > int ) > ( nat > int > int ) > $o ).

thf(func_def_471,type,
    bNF_re578469030762574527_nat_o: ( nat > nat > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_472,type,
    bNF_re3692170009638431535atural: ( nat > nat > $o ) > ( ( nat > nat ) > ( code_natural > code_natural ) > $o ) > ( nat > nat > nat ) > ( nat > code_natural > code_natural ) > $o ).

thf(func_def_473,type,
    bNF_re1345281282404953727at_nat: ( nat > nat > $o ) > ( ( nat > nat ) > ( nat > nat ) > $o ) > ( nat > nat > nat ) > ( nat > nat > nat ) > $o ).

thf(func_def_474,type,
    bNF_re4705727531993890431at_o_o: ( nat > nat > $o ) > ( $o > $o > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_475,type,
    bNF_re4051817429369991249n_assn: ( nat > nat > $o ) > ( assn > assn > $o ) > ( nat > assn ) > ( nat > assn ) > $o ).

thf(func_def_476,type,
    bNF_re1831131418152741254nteger: ( nat > nat > $o ) > ( assn > code_integer > $o ) > ( nat > assn ) > ( nat > code_integer ) > $o ).

thf(func_def_477,type,
    bNF_re4792267480158271317sn_int: ( nat > nat > $o ) > ( assn > int > $o ) > ( nat > assn ) > ( nat > int ) > $o ).

thf(func_def_478,type,
    bNF_re4794757950667321593sn_nat: ( nat > nat > $o ) > ( assn > nat > $o ) > ( nat > assn ) > ( nat > nat ) > $o ).

thf(func_def_479,type,
    bNF_re4159627890580825857sn_rat: ( nat > nat > $o ) > ( assn > rat > $o ) > ( nat > assn ) > ( nat > rat ) > $o ).

thf(func_def_480,type,
    bNF_re2692373401909853574r_assn: ( nat > nat > $o ) > ( code_integer > assn > $o ) > ( nat > code_integer ) > ( nat > assn ) > $o ).

thf(func_def_481,type,
    bNF_re1236659899165691067nteger: ( nat > nat > $o ) > ( code_integer > code_integer > $o ) > ( nat > code_integer ) > ( nat > code_integer ) > $o ).

thf(func_def_482,type,
    bNF_re3514700588913618570er_int: ( nat > nat > $o ) > ( code_integer > int > $o ) > ( nat > code_integer ) > ( nat > int ) > $o ).

thf(func_def_483,type,
    bNF_re3517191059422668846er_nat: ( nat > nat > $o ) > ( code_integer > nat > $o ) > ( nat > code_integer ) > ( nat > nat ) > $o ).

thf(func_def_484,type,
    bNF_re2882060999336173110er_rat: ( nat > nat > $o ) > ( code_integer > rat > $o ) > ( nat > code_integer ) > ( nat > rat ) > $o ).

thf(func_def_485,type,
    bNF_re6101645755646507080atural: ( nat > nat > $o ) > ( code_natural > produc7822875418678951345atural > $o ) > ( nat > code_natural ) > ( nat > produc7822875418678951345atural ) > $o ).

thf(func_def_486,type,
    bNF_re4153400068438556298nteger: ( nat > nat > $o ) > ( int > code_integer > $o ) > ( nat > int ) > ( nat > code_integer ) > $o ).

thf(func_def_487,type,
    bNF_re2976995220195273813atural: ( nat > nat > $o ) > ( int > code_natural > $o ) > ( nat > int ) > ( nat > code_natural ) > $o ).

thf(func_def_488,type,
    bNF_re6650684261131312217nt_int: ( nat > nat > $o ) > ( int > int > $o ) > ( nat > int ) > ( nat > int ) > $o ).

thf(func_def_489,type,
    bNF_re6653174731640362493nt_nat: ( nat > nat > $o ) > ( int > nat > $o ) > ( nat > int ) > ( nat > nat ) > $o ).

thf(func_def_490,type,
    bNF_re6018044671553866757nt_rat: ( nat > nat > $o ) > ( int > rat > $o ) > ( nat > int ) > ( nat > rat ) > $o ).

thf(func_def_491,type,
    bNF_re2605341659958429177atural: ( nat > nat > $o ) > ( nat > code_natural > $o ) > ( nat > nat ) > ( nat > code_natural ) > $o ).

thf(func_def_492,type,
    bNF_re5653821019739307937at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > ( nat > nat ) > ( nat > nat ) > $o ).

thf(func_def_493,type,
    bNF_re341483209202555957um_num: ( nat > nat > $o ) > ( num > num > $o ) > ( nat > num ) > ( nat > num ) > $o ).

thf(func_def_494,type,
    bNF_re6830278522597306478at_int: ( nat > nat > $o ) > ( product_prod_nat_nat > int > $o ) > ( nat > product_prod_nat_nat ) > ( nat > int ) > $o ).

thf(func_def_495,type,
    bNF_re4553819317763231286nteger: ( nat > nat > $o ) > ( rat > code_integer > $o ) > ( nat > rat ) > ( nat > code_integer ) > $o ).

thf(func_def_496,type,
    bNF_re3377414469519948801atural: ( nat > nat > $o ) > ( rat > code_natural > $o ) > ( nat > rat ) > ( nat > code_natural ) > $o ).

thf(func_def_497,type,
    bNF_re5334775905295391749at_int: ( nat > nat > $o ) > ( rat > int > $o ) > ( nat > rat ) > ( nat > int ) > $o ).

thf(func_def_498,type,
    bNF_re5337266375804442025at_nat: ( nat > nat > $o ) > ( rat > nat > $o ) > ( nat > rat ) > ( nat > nat ) > $o ).

thf(func_def_499,type,
    bNF_re4702136315717946289at_rat: ( nat > nat > $o ) > ( rat > rat > $o ) > ( nat > rat ) > ( nat > rat ) > $o ).

thf(func_def_500,type,
    bNF_re3590448190763046039at_rat: ( nat > rat > $o ) > ( ( nat > nat ) > ( rat > rat ) > $o ) > ( nat > nat > nat ) > ( rat > rat > rat ) > $o ).

thf(func_def_501,type,
    bNF_re5790763769214331825at_rat: ( nat > rat > $o ) > ( nat > rat > $o ) > ( nat > nat ) > ( rat > rat ) > $o ).

thf(func_def_502,type,
    bNF_re5031869190687302234nteger: ( num > code_integer > $o ) > ( code_integer > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( num > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).

thf(func_def_503,type,
    bNF_re5202476307641864082nteger: ( num > code_integer > $o ) > ( code_integer > code_integer > $o ) > ( num > code_integer ) > ( code_integer > code_integer ) > $o ).

thf(func_def_504,type,
    bNF_re6324211044263125204er_nat: ( num > int > $o ) > ( code_integer > nat > $o ) > ( num > code_integer ) > ( int > nat ) > $o ).

thf(func_def_505,type,
    bNF_re2881542830418903838er_num: ( num > int > $o ) > ( code_integer > num > $o ) > ( num > code_integer ) > ( int > num ) > $o ).

thf(func_def_506,type,
    bNF_re7876454716742015248nteger: ( num > num > $o ) > ( ( num > int ) > ( num > code_integer ) > $o ) > ( num > num > int ) > ( num > num > code_integer ) > $o ).

thf(func_def_507,type,
    bNF_re8402795839162346335um_int: ( num > num > $o ) > ( ( num > int ) > ( num > int ) > $o ) > ( num > num > int ) > ( num > num > int ) > $o ).

thf(func_def_508,type,
    bNF_re6741283560065411407nteger: ( num > num > $o ) > ( code_integer > code_integer > $o ) > ( num > code_integer ) > ( num > code_integer ) > $o ).

thf(func_def_509,type,
    bNF_re6501075790457514782nteger: ( num > num > $o ) > ( int > code_integer > $o ) > ( num > int ) > ( num > code_integer ) > $o ).

thf(func_def_510,type,
    bNF_re5324670942214232297atural: ( num > num > $o ) > ( int > code_natural > $o ) > ( num > int ) > ( num > code_natural ) > $o ).

thf(func_def_511,type,
    bNF_re1822329894187522285nt_int: ( num > num > $o ) > ( int > int > $o ) > ( num > int ) > ( num > int ) > $o ).

thf(func_def_512,type,
    bNF_re1824820364696572561nt_nat: ( num > num > $o ) > ( int > nat > $o ) > ( num > int ) > ( num > nat ) > $o ).

thf(func_def_513,type,
    bNF_re1189690304610076825nt_rat: ( num > num > $o ) > ( int > rat > $o ) > ( num > int ) > ( num > rat ) > $o ).

thf(func_def_514,type,
    bNF_re6129422230220670146nteger: ( num > num > $o ) > ( nat > code_integer > $o ) > ( num > nat ) > ( num > code_integer ) > $o ).

thf(func_def_515,type,
    bNF_re4953017381977387661atural: ( num > num > $o ) > ( nat > code_natural > $o ) > ( num > nat ) > ( num > code_natural ) > $o ).

thf(func_def_516,type,
    bNF_re822976182286467729at_int: ( num > num > $o ) > ( nat > int > $o ) > ( num > nat ) > ( num > int ) > $o ).

thf(func_def_517,type,
    bNF_re825466652795518005at_nat: ( num > num > $o ) > ( nat > nat > $o ) > ( num > nat ) > ( num > nat ) > $o ).

thf(func_def_518,type,
    bNF_re190336592709022269at_rat: ( num > num > $o ) > ( nat > rat > $o ) > ( num > nat ) > ( num > rat ) > $o ).

thf(func_def_519,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_520,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_521,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_522,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_523,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_524,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_525,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_526,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_527,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_528,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_529,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_530,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_531,type,
    bNF_re8417623677625516633nteger: ( product_unit > product_unit > $o ) > ( code_integer > code_integer > $o ) > ( product_unit > code_integer ) > ( product_unit > code_integer ) > $o ).

thf(func_def_532,type,
    bNF_re5641277236161133866atural: ( product_unit > product_unit > $o ) > ( code_natural > produc7822875418678951345atural > $o ) > ( product_unit > code_natural ) > ( product_unit > produc7822875418678951345atural ) > $o ).

thf(func_def_533,type,
    bNF_re8422471777688076791nt_int: ( product_unit > product_unit > $o ) > ( int > int > $o ) > ( product_unit > int ) > ( product_unit > int ) > $o ).

thf(func_def_534,type,
    bNF_re4307939118855507134nteger: ( rat > code_integer > $o ) > ( ( rat > rat ) > ( code_integer > code_integer ) > $o ) > ( rat > rat > rat ) > ( code_integer > code_integer > code_integer ) > $o ).

thf(func_def_535,type,
    bNF_re2328245411608324299nteger: ( rat > code_integer > $o ) > ( rat > code_integer > $o ) > ( rat > rat ) > ( code_integer > code_integer ) > $o ).

thf(func_def_536,type,
    bNF_re6252345487650389919atural: ( rat > code_natural > $o ) > ( ( rat > rat ) > ( code_natural > code_natural ) > $o ) > ( rat > rat > rat ) > ( code_natural > code_natural > code_natural ) > $o ).

thf(func_def_537,type,
    bNF_re4433268865704509537atural: ( rat > code_natural > $o ) > ( rat > code_natural > $o ) > ( rat > rat ) > ( code_natural > code_natural ) > $o ).

thf(func_def_538,type,
    bNF_re8876735282041863595nt_int: ( rat > int > $o ) > ( ( rat > rat ) > ( int > int ) > $o ) > ( rat > rat > rat ) > ( int > int > int ) > $o ).

thf(func_def_539,type,
    bNF_re5838490730811218025at_int: ( rat > int > $o ) > ( rat > int > $o ) > ( rat > rat ) > ( int > int ) > $o ).

thf(func_def_540,type,
    bNF_re4357912360536923287at_nat: ( rat > nat > $o ) > ( ( rat > rat ) > ( nat > nat ) > $o ) > ( rat > rat > rat ) > ( nat > nat > nat ) > $o ).

thf(func_def_541,type,
    bNF_re5469327641083423665at_nat: ( rat > nat > $o ) > ( rat > nat > $o ) > ( rat > rat ) > ( nat > nat ) > $o ).

thf(func_def_542,type,
    bNF_re6603079268895015599at_rat: ( rat > rat > $o ) > ( ( rat > rat ) > ( rat > rat ) > $o ) > ( rat > rat > rat ) > ( rat > rat > rat ) > $o ).

thf(func_def_543,type,
    bNF_re5606270390558447553at_rat: ( rat > rat > $o ) > ( rat > rat > $o ) > ( rat > rat ) > ( rat > rat ) > $o ).

thf(func_def_544,type,
    bNF_We2654380646378065620so_o_o: set_Pr1932065953672099015od_o_o ).

thf(func_def_545,type,
    bNF_We5258908940166488438at_nat: set_Pr4329608150637261639at_nat ).

thf(func_def_546,type,
    bNF_We8182288985678559134_o_nat: set_Pr457366540195662369at_nat ).

thf(func_def_547,type,
    basic_7565498685090299632nteger: ( code_integer > nat ) > ( code_integer > nat ) > produc8923325533196201883nteger > nat ).

thf(func_def_548,type,
    basic_8185638495112405971atural: ( code_natural > nat ) > ( produc7822875418678951345atural > nat ) > produc5835291356934675326atural > nat ).

thf(func_def_549,type,
    basic_1872990034501187214nt_int: ( int > nat ) > ( int > nat ) > product_prod_int_int > nat ).

thf(func_def_550,type,
    binomial: nat > nat > nat ).

thf(func_def_551,type,
    gbinom8545251970709558553nteger: code_integer > nat > code_integer ).

thf(func_def_552,type,
    gbinomial_int: int > nat > int ).

thf(func_def_553,type,
    gbinomial_nat: nat > nat > nat ).

thf(func_def_554,type,
    gbinomial_rat: rat > nat > rat ).

thf(func_def_555,type,
    bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_556,type,
    bit_and_not_num: num > num > option_num ).

thf(func_def_557,type,
    bit_and_not_num_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_558,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_559,type,
    bit_or_not_num_neg: num > num > num ).

thf(func_def_560,type,
    bit_or3848514188828904588eg_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_561,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

thf(func_def_562,type,
    bit_ri7919022796975470100ot_int: int > int ).

thf(func_def_563,type,
    bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).

thf(func_def_564,type,
    bit_ri631733984087533419it_int: nat > int > int ).

thf(func_def_565,type,
    bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).

thf(func_def_566,type,
    bit_se2773287842338716102atural: code_natural > code_natural > code_natural ).

thf(func_def_567,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(func_def_568,type,
    bit_se727722235901077358nd_nat: nat > nat > nat ).

thf(func_def_569,type,
    bit_se3928097537394005634nteger: nat > code_integer > code_integer ).

thf(func_def_570,type,
    bit_se2751692689150723149atural: nat > code_natural > code_natural ).

thf(func_def_571,type,
    bit_se8568078237143864401it_int: nat > int > int ).

thf(func_def_572,type,
    bit_se8570568707652914677it_nat: nat > nat > nat ).

thf(func_def_573,type,
    bit_se1345352211410354436nteger: nat > code_integer > code_integer ).

thf(func_def_574,type,
    bit_se168947363167071951atural: nat > code_natural > code_natural ).

thf(func_def_575,type,
    bit_se2159334234014336723it_int: nat > int > int ).

thf(func_def_576,type,
    bit_se2161824704523386999it_nat: nat > nat > nat ).

thf(func_def_577,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

thf(func_def_578,type,
    bit_se943457434206027407atural: nat > code_natural ).

thf(func_def_579,type,
    bit_se2000444600071755411sk_int: nat > int ).

thf(func_def_580,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(func_def_581,type,
    bit_se1080825931792720795nteger: code_integer > code_integer > code_integer ).

thf(func_def_582,type,
    bit_se9127793120404214118atural: code_natural > code_natural > code_natural ).

thf(func_def_583,type,
    bit_se1409905431419307370or_int: int > int > int ).

thf(func_def_584,type,
    bit_se1412395901928357646or_nat: nat > nat > nat ).

thf(func_def_585,type,
    bit_se7788150548672797655nteger: nat > code_integer > code_integer ).

thf(func_def_586,type,
    bit_se6611745700429515170atural: nat > code_natural > code_natural ).

thf(func_def_587,type,
    bit_se545348938243370406it_int: nat > int > int ).

thf(func_def_588,type,
    bit_se547839408752420682it_nat: nat > nat > nat ).

thf(func_def_589,type,
    bit_se2793503036327961859nteger: nat > code_integer > code_integer ).

thf(func_def_590,type,
    bit_se1617098188084679374atural: nat > code_natural > code_natural ).

thf(func_def_591,type,
    bit_se7879613467334960850it_int: nat > int > int ).

thf(func_def_592,type,
    bit_se7882103937844011126it_nat: nat > nat > nat ).

thf(func_def_593,type,
    bit_se1745604003318907178nteger: nat > code_integer > code_integer ).

thf(func_def_594,type,
    bit_se569199155075624693atural: nat > code_natural > code_natural ).

thf(func_def_595,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(func_def_596,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(func_def_597,type,
    bit_se8260200283734997820nteger: nat > code_integer > code_integer ).

thf(func_def_598,type,
    bit_se7083795435491715335atural: nat > code_natural > code_natural ).

thf(func_def_599,type,
    bit_se4203085406695923979it_int: nat > int > int ).

thf(func_def_600,type,
    bit_se4205575877204974255it_nat: nat > nat > nat ).

thf(func_def_601,type,
    bit_se3222712562003087583nteger: code_integer > code_integer > code_integer ).

thf(func_def_602,type,
    bit_se2046307713759805098atural: code_natural > code_natural > code_natural ).

thf(func_def_603,type,
    bit_se6526347334894502574or_int: int > int > int ).

thf(func_def_604,type,
    bit_se6528837805403552850or_nat: nat > nat > nat ).

thf(func_def_605,type,
    bit_se9216721137139052372nteger: code_integer > nat > $o ).

thf(func_def_606,type,
    bit_se8040316288895769887atural: code_natural > nat > $o ).

thf(func_def_607,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(func_def_608,type,
    bit_se1148574629649215175it_nat: nat > nat > $o ).

thf(func_def_609,type,
    bit_take_bit_num: nat > num > option_num ).

thf(func_def_610,type,
    bit_un7362597486090784418nd_num: num > num > option_num ).

thf(func_def_611,type,
    bit_un4731106466462545111um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_612,type,
    bit_un6697907153464112080or_num: num > num > num ).

thf(func_def_613,type,
    bit_un4773296044027857193um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_614,type,
    bit_un2480387367778600638or_num: num > num > option_num ).

thf(func_def_615,type,
    bit_un2901131394128224187um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_616,type,
    boolea5643492148547655015nteger: ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer ) > code_integer > code_integer > $o ).

thf(func_def_617,type,
    boolea5469654029284665142ra_int: ( int > int > int ) > ( int > int > int ) > ( int > int ) > int > int > $o ).

thf(func_def_618,type,
    boolea2445317508997433345nteger: ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer ) > code_integer > code_integer > ( code_integer > code_integer > code_integer ) > $o ).

thf(func_def_619,type,
    boolea8527374999097803216ff_int: ( int > int > int ) > ( int > int > int ) > ( int > int ) > int > int > ( int > int > int ) > $o ).

thf(func_def_620,type,
    code_Nat: code_integer > code_natural ).

thf(func_def_621,type,
    code_Neg: num > code_integer ).

thf(func_def_622,type,
    code_Pos: num > code_integer ).

thf(func_def_623,type,
    code_Suc: code_natural > code_natural ).

thf(func_def_624,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

thf(func_def_625,type,
    code_cr_integer: int > code_integer > $o ).

thf(func_def_626,type,
    code_cr_natural: nat > code_natural > $o ).

thf(func_def_627,type,
    code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_628,type,
    code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_629,type,
    code_dup: code_integer > code_integer ).

thf(func_def_630,type,
    code_int_of_integer: code_integer > int ).

thf(func_def_631,type,
    code_integer_of_int: int > code_integer ).

thf(func_def_632,type,
    code_integer_of_nat: nat > code_integer ).

thf(func_def_633,type,
    code_i5400310926305786745atural: code_natural > code_integer ).

thf(func_def_634,type,
    code_integer_of_num: num > code_integer ).

thf(func_def_635,type,
    code_nat_of_integer: code_integer > nat ).

thf(func_def_636,type,
    code_nat_of_natural: code_natural > nat ).

thf(func_def_637,type,
    code_natural_of_nat: nat > code_natural ).

thf(func_def_638,type,
    code_n4118661773612635043nteger: code_integer > code_natural ).

thf(func_def_639,type,
    code_negative: num > code_integer ).

thf(func_def_640,type,
    code_num_of_integer: code_integer > num ).

thf(func_def_641,type,
    code_pcr_integer: int > code_integer > $o ).

thf(func_def_642,type,
    code_pcr_natural: nat > code_natural > $o ).

thf(func_def_643,type,
    code_positive: num > code_integer ).

thf(func_def_644,type,
    code_size_nat: code_natural > nat ).

thf(func_def_645,type,
    code_sub: num > num > code_integer ).

thf(func_def_646,type,
    comple7280212863790966717_int_o: set_in8474487674441654202_int_o > ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_647,type,
    comple797978290332539892eger_o: set_Pr8914822823351560561eger_o > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_648,type,
    comple1647972170925272290_nat_o: set_Pr1457143144315775327_nat_o > ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_649,type,
    comple4401490224799119198_nat_o: set_Pr8208987589773510107_nat_o > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_650,type,
    comple2375672059646964807_int_o: set_Pr5050529186185961540_int_o > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_651,type,
    comple1675732732025788397_nat_o: set_nat_nat_o > nat > nat > $o ).

thf(func_def_652,type,
    comple8322679762649017525_nat_o: set_se9180647916752606350_nat_o > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_653,type,
    complete_Inf_Inf_int: set_int > int ).

thf(func_def_654,type,
    complete_Inf_Inf_nat: set_nat > nat ).

thf(func_def_655,type,
    comple5564859526659248602t_unit: set_op3165557761946182707t_unit > option_Product_unit ).

thf(func_def_656,type,
    comple3446467376476514063et_nat: set_option_set_nat > option_set_nat ).

thf(func_def_657,type,
    comple2584293577114468500t_unit: set_Product_unit > product_unit ).

thf(func_def_658,type,
    comple3063163877087187839_set_o: set_set_o > set_o ).

thf(func_def_659,type,
    comple1256288197631046732nteger: set_set_Code_integer > set_Code_integer ).

thf(func_def_660,type,
    comple3628384868704368283et_int: set_set_int > set_int ).

thf(func_def_661,type,
    comple184543376406953807st_nat: set_set_list_nat > set_list_nat ).

thf(func_def_662,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

thf(func_def_663,type,
    comple2057271477292249724nt_int: set_se7394616247590735609nt_int > set_Pr1872883991513573699nt_int ).

thf(func_def_664,type,
    comple141797230998674821nteger: set_se124295367203800706nteger > set_Pr1281608226676607948nteger ).

thf(func_def_665,type,
    comple8400030738448405097et_nat: set_se5120235452707311462et_nat > set_Pr8536935166611901872et_nat ).

thf(func_def_666,type,
    comple8712884055654468845et_nat: set_se8543413830569400298et_nat > set_Pr3286484037609594932et_nat ).

thf(func_def_667,type,
    comple6065809805536145394nt_int: set_se2364587433798273647nt_int > set_Pr9222295170931077689nt_int ).

thf(func_def_668,type,
    comple1930127330929219688at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_669,type,
    comple6751905152567503566at_nat: set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_670,type,
    comple7216939928495492468t_unit: set_set_Product_unit > set_Product_unit ).

thf(func_def_671,type,
    comple8902563120744349527_int_o: set_in8474487674441654202_int_o > ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_672,type,
    comple6692557002573936782eger_o: set_Pr8914822823351560561eger_o > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_673,type,
    comple5542144468884744060_nat_o: set_Pr1457143144315775327_nat_o > ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_674,type,
    comple2736776311324672504_nat_o: set_Pr8208987589773510107_nat_o > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_675,type,
    comple7735192718774405345_int_o: set_Pr5050529186185961540_int_o > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_676,type,
    comple3592611370556534995_nat_o: set_nat_nat_o > nat > nat > $o ).

thf(func_def_677,type,
    comple493620192902636699_nat_o: set_se9180647916752606350_nat_o > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_678,type,
    complete_Sup_Sup_o: set_o > $o ).

thf(func_def_679,type,
    complete_Sup_Sup_int: set_int > int ).

thf(func_def_680,type,
    complete_Sup_Sup_nat: set_nat > nat ).

thf(func_def_681,type,
    comple4490649148004324043tion_o: set_option_o > option_o ).

thf(func_def_682,type,
    comple7481738165189995200t_unit: set_op3165557761946182707t_unit > option_Product_unit ).

thf(func_def_683,type,
    comple8455683388168444585et_nat: set_option_set_nat > option_set_nat ).

thf(func_def_684,type,
    comple4687483117567863418t_unit: set_Product_unit > product_unit ).

thf(func_def_685,type,
    comple90263536869209701_set_o: set_set_o > set_o ).

thf(func_def_686,type,
    comple739944243200306918nteger: set_set_Code_integer > set_Code_integer ).

thf(func_def_687,type,
    comple3221217463730067765et_int: set_set_int > set_int ).

thf(func_def_688,type,
    comple8404747032580312297st_nat: set_set_list_nat > set_list_nat ).

thf(func_def_689,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

thf(func_def_690,type,
    comple5772984051336441366nt_int: set_se7394616247590735609nt_int > set_Pr1872883991513573699nt_int ).

thf(func_def_691,type,
    comple1324685164916153887nteger: set_se124295367203800706nteger > set_Pr1281608226676607948nteger ).

thf(func_def_692,type,
    comple5063570841203093763et_nat: set_se5120235452707311462et_nat > set_Pr8536935166611901872et_nat ).

thf(func_def_693,type,
    comple4849024849677941639et_nat: set_se8543413830569400298et_nat > set_Pr3286484037609594932et_nat ).

thf(func_def_694,type,
    comple6871990601243273356nt_int: set_se2364587433798273647nt_int > set_Pr9222295170931077689nt_int ).

thf(func_def_695,type,
    comple4956303571586142718atural: set_se3372686590935047281atural > set_Pr7564037697178849041atural ).

thf(func_def_696,type,
    comple5685304695842803022at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_697,type,
    comple4364388969068068532at_nat: set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_698,type,
    comple3349607820504768346t_unit: set_set_Product_unit > set_Product_unit ).

thf(func_def_699,type,
    nth_item_rel: nat > nat > $o ).

thf(func_def_700,type,
    adjust_div: product_prod_int_int > int ).

thf(func_def_701,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_702,type,
    eucl_rel_int: int > int > product_prod_int_int > $o ).

thf(func_def_703,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

thf(func_def_704,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(func_def_705,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(func_def_706,type,
    unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).

thf(func_def_707,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(func_def_708,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(func_def_709,type,
    unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_710,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(func_def_711,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_712,type,
    euclid6377331345833325938nteger: code_integer > nat ).

thf(func_def_713,type,
    euclid5200926497590043453atural: code_natural > nat ).

thf(func_def_714,type,
    euclid4774559944035922753ze_int: int > nat ).

thf(func_def_715,type,
    euclid4777050414544973029ze_nat: nat > nat ).

thf(func_def_716,type,
    euclid6289375185220004616nteger: code_integer > code_integer ).

thf(func_def_717,type,
    euclid5112970336976722131atural: code_natural > code_natural ).

thf(func_def_718,type,
    euclid3395696857347342551nt_int: int > int ).

thf(func_def_719,type,
    euclid3398187327856392827nt_nat: nat > nat ).

thf(func_def_720,type,
    comm_s8582702949713902594nteger: code_integer > nat > code_integer ).

thf(func_def_721,type,
    comm_s7406298101470620109atural: code_natural > nat > code_natural ).

thf(func_def_722,type,
    comm_s4660882817536571857er_int: int > nat > int ).

thf(func_def_723,type,
    comm_s4663373288045622133er_nat: nat > nat > nat ).

thf(func_def_724,type,
    comm_s4028243227959126397er_rat: rat > nat > rat ).

thf(func_def_725,type,
    semiri3624122377584611663nteger: nat > code_integer ).

thf(func_def_726,type,
    semiri2447717529341329178atural: nat > code_natural ).

thf(func_def_727,type,
    semiri1406184849735516958ct_int: nat > int ).

thf(func_def_728,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(func_def_729,type,
    semiri773545260158071498ct_rat: nat > rat ).

thf(func_def_730,type,
    inverse_inverse_rat: rat > rat ).

thf(func_def_731,type,
    finite_card_o: set_o > nat ).

thf(func_def_732,type,
    finite4902975817058060853nteger: set_Code_integer > nat ).

thf(func_def_733,type,
    finite_card_int: set_int > nat ).

thf(func_def_734,type,
    finite_card_list_nat: set_list_nat > nat ).

thf(func_def_735,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_736,type,
    finite711546835091564841at_nat: set_Pr1261947904930325089at_nat > nat ).

thf(func_def_737,type,
    finite3771342082235030671at_nat: set_Pr4329608150637261639at_nat > nat ).

thf(func_def_738,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

thf(func_def_739,type,
    finite1340570857867686763nteger: set_set_Code_integer > nat ).

thf(func_def_740,type,
    finite_card_set_int: set_set_int > nat ).

thf(func_def_741,type,
    finite2364142230527598318st_nat: set_set_list_nat > nat ).

thf(func_def_742,type,
    finite_card_set_nat: set_set_nat > nat ).

thf(func_def_743,type,
    finite4356350796350151305at_nat: set_se7855581050983116737at_nat > nat ).

thf(func_def_744,type,
    finite22775419188893461t_unit: set_set_Product_unit > nat ).

thf(func_def_745,type,
    finite_finite_o: set_o > $o ).

thf(func_def_746,type,
    finite6017078050557962740nteger: set_Code_integer > $o ).

thf(func_def_747,type,
    finite_finite_int: set_int > $o ).

thf(func_def_748,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

thf(func_def_749,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_750,type,
    finite_finite_num: set_num > $o ).

thf(func_def_751,type,
    finite6785661671136154180nteger: set_op687863988967635939nteger > $o ).

thf(func_def_752,type,
    finite1345302120164226195on_int: set_option_int > $o ).

thf(func_def_753,type,
    finite5523153139673422903on_nat: set_option_nat > $o ).

thf(func_def_754,type,
    finite6231397076622260609on_num: set_option_num > $o ).

thf(func_def_755,type,
    finite6732403688824079472at_nat: set_op4508134149509766951at_nat > $o ).

thf(func_def_756,type,
    finite6292238467249657455it_nat: set_op239864471688321678it_nat > $o ).

thf(func_def_757,type,
    finite1445617369574913404t_unit: set_op3165557761946182707t_unit > $o ).

thf(func_def_758,type,
    finite4151335170723375381et_nat: set_Pr3286484037609594932et_nat > $o ).

thf(func_def_759,type,
    finite6120865539452801872od_o_o: set_Product_prod_o_o > $o ).

thf(func_def_760,type,
    finite2154694888287295812nteger: set_Pr4811707699266497531nteger > $o ).

thf(func_def_761,type,
    finite818523575018126227er_int: set_Pr6496905503482889930er_int > $o ).

thf(func_def_762,type,
    finite4996374594527322935er_nat: set_Pr8986988648414616686er_nat > $o ).

thf(func_def_763,type,
    finite2970523954037356441et_nat: set_Pr3948176798113811640et_nat > $o ).

thf(func_def_764,type,
    finite1525696360262406931nteger: set_Pr8415741480598773322nteger > $o ).

thf(func_def_765,type,
    finite2998713641127702882nt_int: set_Pr958786334691620121nt_int > $o ).

thf(func_def_766,type,
    finite7176564660636899590nt_nat: set_Pr3448869479623346877nt_nat > $o ).

thf(func_def_767,type,
    finite1154042800025562295nteger: set_Pr2406931829603198446nteger > $o ).

thf(func_def_768,type,
    finite1999359929226648326at_int: set_Pr7995236796853374141at_int > $o ).

thf(func_def_769,type,
    finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_770,type,
    finite4392333629123659920at_nat: set_Pr8693737435421807431at_nat > $o ).

thf(func_def_771,type,
    finite6446286893012251551it_nat: set_Pr1354866905816374718it_nat > $o ).

thf(func_def_772,type,
    finite4343798906461161616at_nat: set_Pr4329608150637261639at_nat > $o ).

thf(func_def_773,type,
    finite4290736615968046902t_unit: set_Product_unit > $o ).

thf(func_def_774,type,
    finite_finite_rat: set_rat > $o ).

thf(func_def_775,type,
    finite6931041176100689706nteger: set_set_Code_integer > $o ).

thf(func_def_776,type,
    finite6197958912794628473et_int: set_set_int > $o ).

thf(func_def_777,type,
    finite7047420756378620717st_nat: set_set_list_nat > $o ).

thf(func_def_778,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

thf(func_def_779,type,
    finite9047747110432174090at_nat: set_se7855581050983116737at_nat > $o ).

thf(func_def_780,type,
    finite1772178364199683094t_unit: set_set_Product_unit > $o ).

thf(func_def_781,type,
    finite_fold_int_int: ( int > int > int ) > int > set_int > int ).

thf(func_def_782,type,
    finite_fold_nat_int: ( nat > int > int ) > int > set_nat > int ).

thf(func_def_783,type,
    finite_fold_nat_nat: ( nat > nat > nat ) > nat > set_nat > nat ).

thf(func_def_784,type,
    finite3745491028973389255at_nat: ( nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > set_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_785,type,
    finite8124994865635982712et_nat: ( produc3925858234332021118et_nat > set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat ) > set_Pr8536935166611901872et_nat > set_Pr3286484037609594932et_nat > set_Pr8536935166611901872et_nat ).

thf(func_def_786,type,
    finite7641027033760462367nteger: ( produc8923325533196201883nteger > set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger ) > set_Pr1281608226676607948nteger > set_Pr4811707699266497531nteger > set_Pr1281608226676607948nteger ).

thf(func_def_787,type,
    finite2494574492299216512et_nat: ( produc3658429121746597890et_nat > set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat ) > set_Pr3286484037609594932et_nat > set_Pr3948176798113811640et_nat > set_Pr3286484037609594932et_nat ).

thf(func_def_788,type,
    finite5333674244414288180nt_int: ( product_prod_int_int > set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int ) > set_Pr1872883991513573699nt_int > set_Pr958786334691620121nt_int > set_Pr1872883991513573699nt_int ).

thf(func_def_789,type,
    finite1318812335397358250nt_int: ( product_prod_int_int > set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int ) > set_Pr9222295170931077689nt_int > set_Pr958786334691620121nt_int > set_Pr9222295170931077689nt_int ).

thf(func_def_790,type,
    finite3179781904389220718at_nat: ( set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_791,type,
    comp_C3959375555751086581er_num: ( ( code_integer > code_integer ) > code_integer > code_integer ) > ( ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > num ) > code_integer > code_integer ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > num ) > code_integer > code_integer ).

thf(func_def_792,type,
    comp_C2822359487432382964nteger: ( ( code_integer > code_integer ) > code_integer > code_integer ) > ( code_integer > code_integer > code_integer ) > code_integer > code_integer > code_integer ).

thf(func_def_793,type,
    comp_C5301300457492916725nteger: ( ( code_integer > code_integer ) > num > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > code_integer > code_integer ) > ( code_integer > code_integer ) > num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_794,type,
    comp_C9104104092898552938er_num: ( ( code_integer > code_integer ) > num > code_integer ) > ( ( code_integer > num ) > code_integer > code_integer ) > ( code_integer > num ) > num > code_integer ).

thf(func_def_795,type,
    comp_C3983183376822107068nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > code_integer > code_integer ) > ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_796,type,
    comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_797,type,
    comp_C8645541002826910333er_num: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( num > code_integer > code_integer ) > num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_798,type,
    comp_C5076291335850163704nteger: ( ( code_integer > code_integer ) > code_integer ) > ( code_integer > code_integer > code_integer ) > code_integer > code_integer ).

thf(func_def_799,type,
    comp_C8127656796141369388er_int: ( ( code_integer > nat ) > num > num ) > ( ( code_integer > int ) > code_integer > nat ) > ( code_integer > int ) > num > num ).

thf(func_def_800,type,
    comp_i6226780894115828703_nat_o: ( ( int > $o ) > int > $o ) > ( ( product_prod_nat_nat > $o ) > int > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).

thf(func_def_801,type,
    comp_int_o_int_o_int: ( ( int > $o ) > int > $o ) > ( int > int > $o ) > int > int > $o ).

thf(func_def_802,type,
    comp_i1993086638917920293nt_int: ( ( int > $o ) > int > int ) > ( int > int > $o ) > int > int > int ).

thf(func_def_803,type,
    comp_int_o_nat_o_int: ( ( int > $o ) > nat > $o ) > ( int > int > $o ) > int > nat > $o ).

thf(func_def_804,type,
    comp_i5098556425753098485_o_int: ( ( int > int ) > int > $o ) > ( int > int > int ) > int > int > $o ).

thf(func_def_805,type,
    comp_i1129928922100200191nt_int: ( ( int > int ) > int > int ) > ( int > int > int ) > int > int > int ).

thf(func_def_806,type,
    comp_i4411980392712547921_o_int: ( ( int > int ) > nat > $o ) > ( int > int > int ) > int > nat > $o ).

thf(func_def_807,type,
    comp_i1790862786758963855nt_int: ( ( int > product_prod_int_int ) > int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > int > int > product_prod_int_int ).

thf(func_def_808,type,
    comp_i118865614814752126nt_int: ( ( int > product_prod_int_int ) > int > rat ) > ( ( int > product_prod_int_int ) > int > product_prod_int_int ) > ( int > product_prod_int_int ) > int > rat ).

thf(func_def_809,type,
    comp_i1302866070986779890at_int: ( ( int > product_prod_int_int ) > int > rat ) > ( int > int > product_prod_int_int ) > int > int > rat ).

thf(func_def_810,type,
    comp_i929186717396404458nt_int: ( ( int > rat ) > int > product_prod_int_int ) > ( int > int > rat ) > int > int > product_prod_int_int ).

thf(func_def_811,type,
    comp_i5271019637457297241nt_int: ( ( int > rat ) > int > rat ) > ( ( int > product_prod_int_int ) > int > rat ) > ( int > product_prod_int_int ) > int > rat ).

thf(func_def_812,type,
    comp_i8258899369942393943at_int: ( ( int > rat ) > int > rat ) > ( int > int > rat ) > int > int > rat ).

thf(func_def_813,type,
    comp_nat_o_int_o_int: ( ( nat > $o ) > int > $o ) > ( int > nat > $o ) > int > int > $o ).

thf(func_def_814,type,
    comp_n3090169619561918849nt_int: ( ( nat > $o ) > int > int ) > ( int > nat > $o ) > int > int > int ).

thf(func_def_815,type,
    comp_n5656820349209612572_nat_o: ( ( nat > $o ) > nat > $o ) > ( ( nat > $o ) > nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_816,type,
    comp_nat_o_nat_o_int: ( ( nat > $o ) > nat > $o ) > ( int > nat > $o ) > int > nat > $o ).

thf(func_def_817,type,
    comp_n3323228797031117228um_num: ( ( nat > code_integer ) > int > code_integer ) > ( ( num > num ) > nat > code_integer ) > ( num > num ) > int > code_integer ).

thf(func_def_818,type,
    comp_n4765151935410462062um_int: ( ( nat > nat ) > int > num ) > ( ( num > int ) > nat > nat ) > ( num > int ) > int > num ).

thf(func_def_819,type,
    comp_P3928908779438215820nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_820,type,
    comp_P286844350285437056_nat_o: ( ( product_prod_nat_nat > $o ) > int > $o ) > ( ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).

thf(func_def_821,type,
    comp_P9039549498699531069at_nat: ( ( product_prod_nat_nat > $o ) > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > int > $o ).

thf(func_def_822,type,
    comp_P1872448293794610368at_nat: ( ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > int > int ).

thf(func_def_823,type,
    comp_s518380907012905326o_assn: ( ( set_o > assn ) > set_set_o > assn ) > ( ( $o > assn ) > set_o > assn ) > ( $o > assn ) > set_set_o > assn ).

thf(func_def_824,type,
    comp_s262121120021782499nteger: ( ( set_o > code_integer ) > set_set_o > code_integer ) > ( ( $o > code_integer ) > set_o > code_integer ) > ( $o > code_integer ) > set_set_o > code_integer ).

thf(func_def_825,type,
    comp_s6084864194472624150_o_nat: ( ( set_o > nat ) > set_set_o > nat ) > ( ( $o > nat ) > set_o > nat ) > ( $o > nat ) > set_set_o > nat ).

thf(func_def_826,type,
    comp_s1265507639253661726_o_rat: ( ( set_o > rat ) > set_set_o > rat ) > ( ( $o > rat ) > set_o > rat ) > ( $o > rat ) > set_set_o > rat ).

thf(func_def_827,type,
    comp_s3531641609786562035r_assn: ( ( set_Code_integer > assn ) > set_set_Code_integer > assn ) > ( ( code_integer > assn ) > set_Code_integer > assn ) > ( code_integer > assn ) > set_set_Code_integer > assn ).

thf(func_def_828,type,
    comp_s8484400498494363538nteger: ( ( set_Code_integer > code_integer ) > set_set_Code_integer > code_integer ) > ( ( code_integer > code_integer ) > set_Code_integer > code_integer ) > ( code_integer > code_integer ) > set_set_Code_integer > code_integer ).

thf(func_def_829,type,
    comp_s9045439038509510147er_rat: ( ( set_Code_integer > rat ) > set_set_Code_integer > rat ) > ( ( code_integer > rat ) > set_Code_integer > rat ) > ( code_integer > rat ) > set_set_Code_integer > rat ).

thf(func_def_830,type,
    comp_s4595925057662634336t_assn: ( ( set_int > assn ) > set_set_int > assn ) > ( ( int > assn ) > set_int > assn ) > ( int > assn ) > set_set_int > assn ).

thf(func_def_831,type,
    comp_s7646638485285982975nteger: ( ( set_int > code_integer ) > set_set_int > code_integer ) > ( ( int > code_integer ) > set_int > code_integer ) > ( int > code_integer ) > set_set_int > code_integer ).

thf(func_def_832,type,
    comp_s4088261402702255472nt_rat: ( ( set_int > rat ) > set_set_int > rat ) > ( ( int > rat ) > set_int > rat ) > ( int > rat ) > set_set_int > rat ).

thf(func_def_833,type,
    comp_o_o_o: ( $o > $o ) > ( $o > $o ) > $o > $o ).

thf(func_def_834,type,
    comp_o_o_nat: ( $o > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_835,type,
    comp_o8022916681612831582at_nat: ( $o > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_836,type,
    comp_C2931745410781319416nteger: ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer ) > code_integer > code_integer > code_integer ).

thf(func_def_837,type,
    comp_C3662112809048933045er_num: ( code_integer > code_integer > code_integer ) > ( num > code_integer ) > num > code_integer > code_integer ).

thf(func_def_838,type,
    comp_C95226695241045696nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > code_integer ) > ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_839,type,
    comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_840,type,
    comp_C6617437204949736321er_num: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( num > code_integer ) > num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_841,type,
    comp_C8462447471145125178sn_nat: ( code_integer > assn ) > ( nat > code_integer ) > nat > assn ).

thf(func_def_842,type,
    comp_C7449957260575251196nteger: ( code_integer > code_integer ) > ( code_integer > code_integer ) > code_integer > code_integer ).

thf(func_def_843,type,
    comp_C6974050283906349679er_nat: ( code_integer > code_integer ) > ( nat > code_integer ) > nat > code_integer ).

thf(func_def_844,type,
    comp_C3531382070062128313er_num: ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ).

thf(func_def_845,type,
    comp_C1043215000170864188nteger: ( code_integer > code_integer ) > ( produc8923325533196201883nteger > code_integer ) > produc8923325533196201883nteger > code_integer ).

thf(func_def_846,type,
    comp_C5046419837055054490nt_int: ( code_integer > int ) > ( int > code_integer ) > int > int ).

thf(func_def_847,type,
    comp_C5048910307564104766nt_nat: ( code_integer > int ) > ( nat > code_integer ) > nat > int ).

thf(func_def_848,type,
    comp_C4049556595663050210at_nat: ( code_integer > nat ) > ( nat > code_integer ) > nat > nat ).

thf(func_def_849,type,
    comp_C2277306503614464128nteger: ( code_integer > produc8923325533196201883nteger ) > ( produc8923325533196201883nteger > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_850,type,
    comp_C8086623346886033437it_nat: ( code_integer > product_unit ) > ( nat > code_integer ) > nat > product_unit ).

thf(func_def_851,type,
    comp_C3733001951728184298at_nat: ( code_integer > rat ) > ( nat > code_integer ) > nat > rat ).

thf(func_def_852,type,
    comp_int_int_o_int: ( int > int > $o ) > ( int > int ) > int > int > $o ).

thf(func_def_853,type,
    comp_int_int_int_int: ( int > int > int ) > ( int > int ) > int > int > int ).

thf(func_def_854,type,
    comp_int_int_int_nat: ( int > int > int ) > ( nat > int ) > nat > int > int ).

thf(func_def_855,type,
    comp_i87437609017934369nt_int: ( int > int > product_prod_int_int ) > ( int > int ) > int > int > product_prod_int_int ).

thf(func_def_856,type,
    comp_int_int_rat_int: ( int > int > rat ) > ( int > int ) > int > int > rat ).

thf(func_def_857,type,
    comp_int_nat_o_int: ( int > nat > $o ) > ( int > int ) > int > nat > $o ).

thf(func_def_858,type,
    comp_int_assn_int: ( int > assn ) > ( int > int ) > int > assn ).

thf(func_def_859,type,
    comp_int_assn_nat: ( int > assn ) > ( nat > int ) > nat > assn ).

thf(func_def_860,type,
    comp_i1585864551200866970er_int: ( int > code_integer ) > ( int > int ) > int > code_integer ).

thf(func_def_861,type,
    comp_i1588355021709917246er_nat: ( int > code_integer ) > ( nat > int ) > nat > code_integer ).

thf(func_def_862,type,
    comp_int_int_int: ( int > int ) > ( int > int ) > int > int ).

thf(func_def_863,type,
    comp_int_int_nat: ( int > int ) > ( nat > int ) > nat > int ).

thf(func_def_864,type,
    comp_i4330622015127193916nt_int: ( int > int ) > ( product_prod_int_int > int ) > product_prod_int_int > int ).

thf(func_def_865,type,
    comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).

thf(func_def_866,type,
    comp_int_nat_nat: ( int > nat ) > ( nat > int ) > nat > nat ).

thf(func_def_867,type,
    comp_int_num_int: ( int > num ) > ( int > int ) > int > num ).

thf(func_def_868,type,
    comp_i5941103828406351439nt_int: ( int > product_prod_int_int ) > ( product_prod_int_int > int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_869,type,
    comp_i1108739374719436894at_int: ( int > product_prod_nat_nat ) > ( int > int ) > int > product_prod_nat_nat ).

thf(func_def_870,type,
    comp_int_rat_int: ( int > rat ) > ( int > int ) > int > rat ).

thf(func_def_871,type,
    comp_int_rat_nat: ( int > rat ) > ( nat > int ) > nat > rat ).

thf(func_def_872,type,
    comp_nat_nat_nat_nat: ( nat > nat > nat ) > ( nat > nat ) > nat > nat > nat ).

thf(func_def_873,type,
    comp_nat_o_nat: ( nat > $o ) > ( nat > nat ) > nat > $o ).

thf(func_def_874,type,
    comp_nat_assn_nat: ( nat > assn ) > ( nat > nat ) > nat > assn ).

thf(func_def_875,type,
    comp_n3898172953802868194er_nat: ( nat > code_integer ) > ( nat > nat ) > nat > code_integer ).

thf(func_def_876,type,
    comp_nat_int_int: ( nat > int ) > ( int > nat ) > int > int ).

thf(func_def_877,type,
    comp_nat_int_nat: ( nat > int ) > ( nat > nat ) > nat > int ).

thf(func_def_878,type,
    comp_n8698576032424989604at_nat: ( nat > multis2468970476368604999at_nat ) > ( nat > nat ) > nat > multis2468970476368604999at_nat ).

thf(func_def_879,type,
    comp_nat_nat_int: ( nat > nat ) > ( int > nat ) > int > nat ).

thf(func_def_880,type,
    comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).

thf(func_def_881,type,
    comp_nat_num_int: ( nat > num ) > ( int > nat ) > int > num ).

thf(func_def_882,type,
    comp_nat_num_nat: ( nat > num ) > ( nat > nat ) > nat > num ).

thf(func_def_883,type,
    comp_n9025697279074352746it_nat: ( nat > product_unit ) > ( nat > nat ) > nat > product_unit ).

thf(func_def_884,type,
    comp_nat_rat_nat: ( nat > rat ) > ( nat > nat ) > nat > rat ).

thf(func_def_885,type,
    comp_n6909714581898973814er_num: ( num > code_integer ) > ( num > num ) > num > code_integer ).

thf(func_def_886,type,
    comp_num_int_num: ( num > int ) > ( num > num ) > num > int ).

thf(func_def_887,type,
    comp_num_nat_num: ( num > nat ) > ( num > num ) > num > nat ).

thf(func_def_888,type,
    comp_num_num_int: ( num > num ) > ( int > num ) > int > num ).

thf(func_def_889,type,
    comp_num_num_nat: ( num > num ) > ( nat > num ) > nat > num ).

thf(func_def_890,type,
    comp_num_num_num: ( num > num ) > ( num > num ) > num > num ).

thf(func_def_891,type,
    comp_n6731957995704128387um_num: ( num > option_num ) > ( num > num ) > num > option_num ).

thf(func_def_892,type,
    comp_o7188567781464924208nteger: ( option8057788054806935849nteger > option7428179582072448501nteger ) > ( option_Code_integer > option8057788054806935849nteger ) > option_Code_integer > option7428179582072448501nteger ).

thf(func_def_893,type,
    comp_o8860755393669798242_nat_o: ( option_nat_o > nat > $o ) > ( ( nat > $o ) > option_nat_o ) > ( nat > $o ) > nat > $o ).

thf(func_def_894,type,
    comp_option_o_o_o: ( option_o > $o ) > ( $o > option_o ) > $o > $o ).

thf(func_def_895,type,
    comp_o9011007105448239796nteger: ( option_Code_integer > option7428179582072448501nteger ) > ( option_Code_integer > option_Code_integer ) > option_Code_integer > option7428179582072448501nteger ).

thf(func_def_896,type,
    comp_o5321900959263616553on_num: ( option_Code_integer > option_Code_integer ) > ( option_num > option_Code_integer ) > option_num > option_Code_integer ).

thf(func_def_897,type,
    comp_o2446264010603541305nt_int: ( option_int > int ) > ( int > option_int ) > int > int ).

thf(func_def_898,type,
    comp_o4663963155070737957at_nat: ( option_nat > nat ) > ( nat > option_nat ) > nat > nat ).

thf(func_def_899,type,
    comp_o3128663659858294251on_int: ( option_nat > option_num ) > ( option_int > option_nat ) > option_int > option_num ).

thf(func_def_900,type,
    comp_o6878144249584144265on_num: ( option_num > nat ) > ( option_num > option_num ) > option_num > nat ).

thf(func_def_901,type,
    comp_o6342398210560591875um_num: ( option_num > num ) > ( num > option_num ) > num > num ).

thf(func_def_902,type,
    comp_o8931257242830428707on_num: ( option_num > option_num ) > ( option_num > option_num ) > option_num > option_num ).

thf(func_def_903,type,
    comp_o279924169626513613it_nat: ( option8956607266484857688it_nat > produc8664842809031399944it_nat ) > ( produc8664842809031399944it_nat > option8956607266484857688it_nat ) > produc8664842809031399944it_nat > produc8664842809031399944it_nat ).

thf(func_def_904,type,
    comp_P1875353012086385820e_term: ( produc7773217078559923341nt_int > int > option6357759511663192854e_term ) > ( produc3832618445565238089e_term > produc7773217078559923341nt_int ) > produc3832618445565238089e_term > int > option6357759511663192854e_term ).

thf(func_def_905,type,
    comp_P5363713469694551954e_term: ( produc7773217078559923341nt_int > product_prod_int_int ) > ( produc3832618445565238089e_term > produc7773217078559923341nt_int ) > produc3832618445565238089e_term > product_prod_int_int ).

thf(func_def_906,type,
    comp_P8312345242777556868_nat_o: ( produc7360885484439884007_nat_o > nat > $o ) > ( ( nat > $o ) > produc7360885484439884007_nat_o ) > ( nat > $o ) > nat > $o ).

thf(func_def_907,type,
    comp_P1075760313067033319_o_int: ( produc7360885484439884007_nat_o > nat > $o ) > ( int > produc7360885484439884007_nat_o ) > int > nat > $o ).

thf(func_def_908,type,
    comp_P8650103696410638905e_term: ( produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ) > ( produc998928222018024388e_term > produc1908205239877642774nteger ) > produc998928222018024388e_term > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_909,type,
    comp_P1663382703091044646e_term: ( produc1908205239877642774nteger > produc8923325533196201883nteger ) > ( produc998928222018024388e_term > produc1908205239877642774nteger ) > produc998928222018024388e_term > produc8923325533196201883nteger ).

thf(func_def_910,type,
    comp_P4355506512671352436_nat_o: ( produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ) > ( produc4962441903510821572_nat_o > produc2732055786443039994et_nat ) > produc4962441903510821572_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_911,type,
    comp_P9183373265949749025_nat_o: ( produc2732055786443039994et_nat > produc3925858234332021118et_nat ) > ( produc4962441903510821572_nat_o > produc2732055786443039994et_nat ) > produc4962441903510821572_nat_o > produc3925858234332021118et_nat ).

thf(func_def_912,type,
    comp_P1110778729668777324_nat_o: ( produc3925858234332021118et_nat > produc3658429121746597890et_nat > $o ) > ( produc6907119039986491712_nat_o > produc3925858234332021118et_nat ) > produc6907119039986491712_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_913,type,
    comp_P5089495125153697957_nat_o: ( produc3925858234332021118et_nat > produc3658429121746597890et_nat ) > ( produc6907119039986491712_nat_o > produc3925858234332021118et_nat ) > produc6907119039986491712_nat_o > produc3658429121746597890et_nat ).

thf(func_def_914,type,
    comp_P8577347034251779110e_term: ( produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ) > ( produc1821397396195235155e_term > produc2285326912895808259nt_int ) > produc1821397396195235155e_term > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_915,type,
    comp_P4057098934159210662e_term: ( produc2285326912895808259nt_int > product_prod_int_int ) > ( produc1821397396195235155e_term > produc2285326912895808259nt_int ) > produc1821397396195235155e_term > product_prod_int_int ).

thf(func_def_916,type,
    comp_P2137996956111167876_o_o_o: ( product_prod_o_o > $o ) > ( $o > product_prod_o_o ) > $o > $o ).

thf(func_def_917,type,
    comp_P7111796090210262324nteger: ( produc8923325533196201883nteger > code_integer ) > ( code_integer > produc8923325533196201883nteger ) > code_integer > code_integer ).

thf(func_def_918,type,
    comp_P3107242062624629507er_int: ( produc8923325533196201883nteger > code_integer ) > ( int > produc8923325533196201883nteger ) > int > code_integer ).

thf(func_def_919,type,
    comp_P3109732533133679783er_nat: ( produc8923325533196201883nteger > code_integer ) > ( nat > produc8923325533196201883nteger ) > nat > code_integer ).

thf(func_def_920,type,
    comp_P3428181540658402820nteger: ( produc8923325533196201883nteger > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8923325533196201883nteger > code_integer ).

thf(func_def_921,type,
    comp_P659088277599099894t_unit: ( produc8923325533196201883nteger > code_integer ) > ( product_unit > produc8923325533196201883nteger ) > product_unit > code_integer ).

thf(func_def_922,type,
    comp_P2475326853202991862er_nat: ( produc2256096406371053034er_int > code_integer ) > ( nat > produc2256096406371053034er_int ) > nat > code_integer ).

thf(func_def_923,type,
    comp_P8345930540558018757nt_nat: ( produc2256096406371053034er_int > int ) > ( nat > produc2256096406371053034er_int ) > nat > int ).

thf(func_def_924,type,
    comp_P5700178199414968986er_nat: ( produc6433947425880249742er_nat > code_integer ) > ( nat > produc6433947425880249742er_nat ) > nat > code_integer ).

thf(func_def_925,type,
    comp_P1337767177661389325at_nat: ( produc6433947425880249742er_nat > nat ) > ( nat > produc6433947425880249742er_nat ) > nat > nat ).

thf(func_def_926,type,
    comp_P3067963646784605345atural: ( produc7822875418678951345atural > produc7822875418678951345atural ) > ( produc5835291356934675326atural > produc7822875418678951345atural ) > produc5835291356934675326atural > produc7822875418678951345atural ).

thf(func_def_927,type,
    comp_P4943825737035310295atural: ( produc7822875418678951345atural > produc6756470014200349799atural ) > ( produc5835291356934675326atural > produc7822875418678951345atural ) > produc5835291356934675326atural > produc6756470014200349799atural ).

thf(func_def_928,type,
    comp_P5589825499870570807al_int: ( produc5835291356934675326atural > code_natural ) > ( int > produc5835291356934675326atural ) > int > code_natural ).

thf(func_def_929,type,
    comp_P5592315970379621083al_nat: ( produc5835291356934675326atural > code_natural ) > ( nat > produc5835291356934675326atural ) > nat > code_natural ).

thf(func_def_930,type,
    comp_P210409258367696578t_unit: ( produc5835291356934675326atural > code_natural ) > ( product_unit > produc5835291356934675326atural ) > product_unit > code_natural ).

thf(func_def_931,type,
    comp_P8475394669922486716al_int: ( produc5835291356934675326atural > produc7822875418678951345atural ) > ( int > produc5835291356934675326atural ) > int > produc7822875418678951345atural ).

thf(func_def_932,type,
    comp_P8477885140431536992al_nat: ( produc5835291356934675326atural > produc7822875418678951345atural ) > ( nat > produc5835291356934675326atural ) > nat > produc7822875418678951345atural ).

thf(func_def_933,type,
    comp_P7610810914149544718atural: ( produc5835291356934675326atural > produc7822875418678951345atural ) > ( produc5835291356934675326atural > produc5835291356934675326atural ) > produc5835291356934675326atural > produc7822875418678951345atural ).

thf(func_def_934,type,
    comp_P5756991293874479000atural: ( produc5835291356934675326atural > produc7822875418678951345atural ) > ( produc3981471736659609608atural > produc5835291356934675326atural ) > produc3981471736659609608atural > produc7822875418678951345atural ).

thf(func_def_935,type,
    comp_P1945487127105810045t_unit: ( produc5835291356934675326atural > produc7822875418678951345atural ) > ( product_unit > produc5835291356934675326atural ) > product_unit > produc7822875418678951345atural ).

thf(func_def_936,type,
    comp_P2097125496263478628t_unit: ( produc6714399278180371524it_nat > option3216581401566546698it_nat ) > ( heap_e7401611519738050253t_unit > produc6714399278180371524it_nat ) > heap_e7401611519738050253t_unit > option3216581401566546698it_nat ).

thf(func_def_937,type,
    comp_P6870028373966156406er_nat: ( produc2963269191615333738nteger > code_integer ) > ( nat > produc2963269191615333738nteger ) > nat > code_integer ).

thf(func_def_938,type,
    comp_P59025373045620805nt_nat: ( produc2963269191615333738nteger > int ) > ( nat > produc2963269191615333738nteger ) > nat > int ).

thf(func_def_939,type,
    comp_P6651465171681656048nt_int: ( product_prod_int_int > int ) > ( int > product_prod_int_int ) > int > int ).

thf(func_def_940,type,
    comp_P6653955642190706324nt_nat: ( product_prod_int_int > int ) > ( nat > product_prod_int_int ) > nat > int ).

thf(func_def_941,type,
    comp_P5356232565778667509nt_int: ( product_prod_int_int > int ) > ( product_prod_int_int > product_prod_int_int ) > product_prod_int_int > int ).

thf(func_def_942,type,
    comp_P6796073005956588617t_unit: ( product_prod_int_int > int ) > ( product_unit > product_prod_int_int ) > product_unit > int ).

thf(func_def_943,type,
    comp_P5335556815845735580at_int: ( product_prod_int_int > rat ) > ( int > product_prod_int_int ) > int > rat ).

thf(func_def_944,type,
    comp_P5648219952011055433nt_int: ( product_prod_int_int > rat ) > ( product_prod_int_int > product_prod_int_int ) > product_prod_int_int > rat ).

thf(func_def_945,type,
    comp_P645145991195131448nt_nat: ( product_prod_int_nat > int ) > ( nat > product_prod_int_nat ) > nat > int ).

thf(func_def_946,type,
    comp_P8869164316148852700at_nat: ( product_prod_int_nat > nat ) > ( nat > product_prod_int_nat ) > nat > nat ).

thf(func_def_947,type,
    comp_P5461341465284484122er_nat: ( produc2591615631378489102nteger > code_integer ) > ( nat > produc2591615631378489102nteger ) > nat > code_integer ).

thf(func_def_948,type,
    comp_P9144323761349829517at_nat: ( produc2591615631378489102nteger > nat ) > ( nat > produc2591615631378489102nteger ) > nat > nat ).

thf(func_def_949,type,
    comp_P8963773574283657272nt_nat: ( product_prod_nat_int > int ) > ( nat > product_prod_nat_int ) > nat > int ).

thf(func_def_950,type,
    comp_P7964419862382602716at_nat: ( product_prod_nat_int > nat ) > ( nat > product_prod_nat_int ) > nat > nat ).

thf(func_def_951,type,
    comp_P7507668834397697393_o_int: ( product_prod_nat_nat > int > $o ) > ( int > product_prod_nat_nat ) > int > int > $o ).

thf(func_def_952,type,
    comp_P1029605119844863363nt_int: ( product_prod_nat_nat > int > int ) > ( int > product_prod_nat_nat ) > int > int > int ).

thf(func_def_953,type,
    comp_P1289042343629989734_o_int: ( product_prod_nat_nat > $o ) > ( int > product_prod_nat_nat ) > int > $o ).

thf(func_def_954,type,
    comp_P1955610211387027840at_nat: ( product_prod_nat_nat > nat ) > ( nat > product_prod_nat_nat ) > nat > nat ).

thf(func_def_955,type,
    comp_P2980510830910040157t_unit: ( product_prod_nat_nat > nat ) > ( product_unit > product_prod_nat_nat ) > product_unit > nat ).

thf(func_def_956,type,
    comp_P7428279379633703887at_int: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > int > product_prod_nat_nat ).

thf(func_def_957,type,
    comp_P864883071962432936um_num: ( product_prod_num_num > num ) > ( num > product_prod_num_num ) > num > num ).

thf(func_def_958,type,
    comp_P3887058762840424708atural: ( produc3981471736659609608atural > produc7822875418678951345atural ) > ( produc5835291356934675326atural > produc3981471736659609608atural ) > produc5835291356934675326atural > produc7822875418678951345atural ).

thf(func_def_959,type,
    comp_P230220204662055659atural: ( produc6756470014200349799atural > produc7822875418678951345atural ) > ( produc5835291356934675326atural > produc6756470014200349799atural ) > produc5835291356934675326atural > produc7822875418678951345atural ).

thf(func_def_960,type,
    comp_P3118722334806803912t_unit: ( produc8664842809031399944it_nat > option8956607266484857688it_nat ) > ( heap_e7401611519738050253t_unit > produc8664842809031399944it_nat ) > heap_e7401611519738050253t_unit > option8956607266484857688it_nat ).

thf(func_def_961,type,
    comp_P756492639069434009er_nat: ( product_unit > code_integer ) > ( nat > product_unit ) > nat > code_integer ).

thf(func_def_962,type,
    comp_P7645380973975430442t_unit: ( product_unit > product_unit ) > ( product_unit > product_unit ) > product_unit > product_unit ).

thf(func_def_963,type,
    comp_rat_nat_nat: ( rat > nat ) > ( nat > rat ) > nat > nat ).

thf(func_def_964,type,
    comp_r4727614531642239972nt_int: ( rat > rat ) > ( product_prod_int_int > rat ) > product_prod_int_int > rat ).

thf(func_def_965,type,
    comp_rat_rat_rat: ( rat > rat ) > ( rat > rat ) > rat > rat ).

thf(func_def_966,type,
    fun_upd_o_o: ( $o > $o ) > $o > $o > $o > $o ).

thf(func_def_967,type,
    fun_upd_o_int: ( $o > int ) > $o > int > $o > int ).

thf(func_def_968,type,
    fun_upd_o_nat: ( $o > nat ) > $o > nat > $o > nat ).

thf(func_def_969,type,
    fun_upd_o_option_num: ( $o > option_num ) > $o > option_num > $o > option_num ).

thf(func_def_970,type,
    fun_up1288979561775348147it_nat: ( $o > option8956607266484857688it_nat ) > $o > option8956607266484857688it_nat > $o > option8956607266484857688it_nat ).

thf(func_def_971,type,
    fun_up8056716234270145717nteger: ( code_integer > code_integer > code_integer ) > code_integer > ( code_integer > code_integer ) > code_integer > code_integer > code_integer ).

thf(func_def_972,type,
    fun_up8139772397987072257nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_973,type,
    fun_up8355007323143964473nteger: ( code_integer > code_integer ) > code_integer > code_integer > code_integer > code_integer ).

thf(func_def_974,type,
    fun_up6566892301432185865nteger: ( code_integer > option_Code_integer ) > code_integer > option_Code_integer > code_integer > option_Code_integer ).

thf(func_def_975,type,
    fun_up2923169431403285008atural: ( code_natural > option5403585828896915703atural ) > code_natural > option5403585828896915703atural > code_natural > option5403585828896915703atural ).

thf(func_def_976,type,
    fun_upd_int_o: ( int > $o ) > int > $o > int > $o ).

thf(func_def_977,type,
    fun_upd_int_int: ( int > int ) > int > int > int > int ).

thf(func_def_978,type,
    fun_upd_int_nat: ( int > nat ) > int > nat > int > nat ).

thf(func_def_979,type,
    fun_upd_int_num: ( int > num ) > int > num > int > num ).

thf(func_def_980,type,
    fun_up8666045135305973159on_int: ( int > option_int ) > int > option_int > int > option_int ).

thf(func_def_981,type,
    fun_up4328768054909231765on_num: ( int > option_num ) > int > option_num > int > option_num ).

thf(func_def_982,type,
    fun_up6992348036167380867it_nat: ( int > option8956607266484857688it_nat ) > int > option8956607266484857688it_nat > int > option8956607266484857688it_nat ).

thf(func_def_983,type,
    fun_upd_nat_o: ( nat > $o ) > nat > $o > nat > $o ).

thf(func_def_984,type,
    fun_up3904115110581602988nteger: ( nat > code_integer ) > nat > code_integer > nat > code_integer ).

thf(func_def_985,type,
    fun_upd_nat_int: ( nat > int ) > nat > int > nat > int ).

thf(func_def_986,type,
    fun_upd_nat_nat: ( nat > nat ) > nat > nat > nat > nat ).

thf(func_def_987,type,
    fun_up1493157387958331631on_nat: ( nat > option_nat ) > nat > option_nat > nat > option_nat ).

thf(func_def_988,type,
    fun_up2201401324907169337on_num: ( nat > option_num ) > nat > option_num > nat > option_num ).

thf(func_def_989,type,
    fun_up4116053422210368295it_nat: ( nat > option8956607266484857688it_nat ) > nat > option8956607266484857688it_nat > nat > option8956607266484857688it_nat ).

thf(func_def_990,type,
    fun_upd_nat_set_nat: ( nat > set_nat ) > nat > set_nat > nat > set_nat ).

thf(func_def_991,type,
    fun_up1844922938552261878nteger: ( num > code_integer ) > num > code_integer > num > code_integer ).

thf(func_def_992,type,
    fun_up8025039454679724718on_num: ( product_prod_nat_nat > option_num ) > product_prod_nat_nat > option_num > product_prod_nat_nat > option_num ).

thf(func_def_993,type,
    fun_up3996838528606387100it_nat: ( product_prod_nat_nat > option8956607266484857688it_nat ) > product_prod_nat_nat > option8956607266484857688it_nat > product_prod_nat_nat > option8956607266484857688it_nat ).

thf(func_def_994,type,
    fun_up3286109336741039636on_num: ( produc3843707927480180839at_nat > option_num ) > produc3843707927480180839at_nat > option_num > produc3843707927480180839at_nat > option_num ).

thf(func_def_995,type,
    fun_up5549328659429834498it_nat: ( produc3843707927480180839at_nat > option8956607266484857688it_nat ) > produc3843707927480180839at_nat > option8956607266484857688it_nat > produc3843707927480180839at_nat > option8956607266484857688it_nat ).

thf(func_def_996,type,
    fun_up4695802795598371002on_num: ( product_unit > option_num ) > product_unit > option_num > product_unit > option_num ).

thf(func_def_997,type,
    fun_up1973317344121680296it_nat: ( product_unit > option8956607266484857688it_nat ) > product_unit > option8956607266484857688it_nat > product_unit > option8956607266484857688it_nat ).

thf(func_def_998,type,
    id_nat_o: ( nat > $o ) > nat > $o ).

thf(func_def_999,type,
    id_num_Code_integer: ( num > code_integer ) > num > code_integer ).

thf(func_def_1000,type,
    id_Pro496765588584934260nteger: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_1001,type,
    id_o: $o > $o ).

thf(func_def_1002,type,
    id_Code_integer: code_integer > code_integer ).

thf(func_def_1003,type,
    id_int: int > int ).

thf(func_def_1004,type,
    id_nat: nat > nat ).

thf(func_def_1005,type,
    id_num: num > num ).

thf(func_def_1006,type,
    id_option_nat_o: option_nat_o > option_nat_o ).

thf(func_def_1007,type,
    id_option_o: option_o > option_o ).

thf(func_def_1008,type,
    id_option_int: option_int > option_int ).

thf(func_def_1009,type,
    id_option_nat: option_nat > option_nat ).

thf(func_def_1010,type,
    id_option_num: option_num > option_num ).

thf(func_def_1011,type,
    id_Pro3923183700162330716nt_int: produc7773217078559923341nt_int > produc7773217078559923341nt_int ).

thf(func_def_1012,type,
    id_Pro1379270990444177765nteger: produc1908205239877642774nteger > produc1908205239877642774nteger ).

thf(func_def_1013,type,
    id_Pro1297863087923562825et_nat: produc2732055786443039994et_nat > produc2732055786443039994et_nat ).

thf(func_def_1014,type,
    id_Pro1888964116897856973et_nat: produc3925858234332021118et_nat > produc3925858234332021118et_nat ).

thf(func_def_1015,type,
    id_Pro5422067691592394322nt_int: produc2285326912895808259nt_int > produc2285326912895808259nt_int ).

thf(func_def_1016,type,
    id_Pro2309048762231606924nteger: produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_1017,type,
    id_Pro4381231610383771306nt_int: product_prod_int_int > product_prod_int_int ).

thf(func_def_1018,type,
    id_Pro1159712480615372887it_nat: produc8664842809031399944it_nat > produc8664842809031399944it_nat ).

thf(func_def_1019,type,
    id_Product_unit: product_unit > product_unit ).

thf(func_def_1020,type,
    id_rat: rat > rat ).

thf(func_def_1021,type,
    id_set_nat_o: set_nat_o > set_nat_o ).

thf(func_def_1022,type,
    id_set_o: set_o > set_o ).

thf(func_def_1023,type,
    id_set_int: set_int > set_int ).

thf(func_def_1024,type,
    id_set_nat: set_nat > set_nat ).

thf(func_def_1025,type,
    id_set_num: set_num > set_num ).

thf(func_def_1026,type,
    map_fu1335501423231535891nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( num > code_integer ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > num ) > code_integer > code_integer ).

thf(func_def_1027,type,
    map_fu6423247683660063826nteger: ( code_integer > code_integer ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_1028,type,
    map_fu2576242048321985878nteger: ( code_integer > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_1029,type,
    map_fu5082455417554595470nteger: ( code_integer > code_integer ) > ( code_integer > code_integer ) > ( code_integer > code_integer ) > code_integer > code_integer ).

thf(func_def_1030,type,
    map_fu5423760287386111952nt_nat: ( code_integer > code_integer ) > ( int > nat ) > ( code_integer > int ) > code_integer > nat ).

thf(func_def_1031,type,
    map_fu603974984455542859nteger: ( code_integer > code_integer ) > ( num > code_integer ) > ( code_integer > num ) > code_integer > code_integer ).

thf(func_def_1032,type,
    map_fu2496120808607739376eger_o: ( code_integer > int ) > ( ( int > $o ) > code_integer > $o ) > ( int > int > $o ) > code_integer > code_integer > $o ).

thf(func_def_1033,type,
    map_fu8272188784021352819nteger: ( code_integer > int ) > ( ( int > int ) > code_integer > code_integer ) > ( int > int > int ) > code_integer > code_integer > code_integer ).

thf(func_def_1034,type,
    map_fu186220595405829473_nat_o: ( code_integer > int ) > ( ( nat > $o ) > nat > $o ) > ( int > nat > $o ) > code_integer > nat > $o ).

thf(func_def_1035,type,
    map_fu6957801986076833569nt_o_o: ( code_integer > int ) > ( $o > $o ) > ( int > $o ) > code_integer > $o ).

thf(func_def_1036,type,
    map_fu2599414010547811884nteger: ( code_integer > int ) > ( int > code_integer ) > ( int > int ) > code_integer > code_integer ).

thf(func_def_1037,type,
    map_fu1051355602067684763atural: ( code_integer > int ) > ( nat > code_natural ) > ( int > nat ) > code_integer > code_natural ).

thf(func_def_1038,type,
    map_fu6539832666145259331at_nat: ( code_integer > int ) > ( nat > nat ) > ( int > nat ) > code_integer > nat ).

thf(func_def_1039,type,
    map_fu1227494855608507351um_num: ( code_integer > int ) > ( num > num ) > ( int > num ) > code_integer > num ).

thf(func_def_1040,type,
    map_fu6256889081107267320ural_o: ( code_natural > nat ) > ( ( nat > $o ) > code_natural > $o ) > ( nat > nat > $o ) > code_natural > code_natural > $o ).

thf(func_def_1041,type,
    map_fu6244533035418998608_nat_o: ( code_natural > nat ) > ( ( nat > $o ) > nat > $o ) > ( nat > nat > $o ) > code_natural > nat > $o ).

thf(func_def_1042,type,
    map_fu6549440983881763648atural: ( code_natural > nat ) > ( ( nat > nat ) > code_natural > code_natural ) > ( nat > nat > nat ) > code_natural > code_natural > code_natural ).

thf(func_def_1043,type,
    map_fu4892316939951275536at_o_o: ( code_natural > nat ) > ( $o > $o ) > ( nat > $o ) > code_natural > $o ).

thf(func_def_1044,type,
    map_fu2787874002554666395nteger: ( code_natural > nat ) > ( int > code_integer ) > ( nat > int ) > code_natural > code_integer ).

thf(func_def_1045,type,
    map_fu1239815594074539274atural: ( code_natural > nat ) > ( nat > code_natural ) > ( nat > nat ) > code_natural > code_natural ).

thf(func_def_1046,type,
    map_fu226235371393106610at_nat: ( code_natural > nat ) > ( nat > nat ) > ( nat > nat ) > code_natural > nat ).

thf(func_def_1047,type,
    map_fu7831380289885515383nt_rat: ( int > int ) > ( ( int > product_prod_int_int ) > int > rat ) > ( int > int > product_prod_int_int ) > int > int > rat ).

thf(func_def_1048,type,
    map_fun_int_int_o_o: ( int > int ) > ( $o > $o ) > ( int > $o ) > int > $o ).

thf(func_def_1049,type,
    map_fu2180209013632630320nt_int: ( int > int ) > ( product_prod_int_int > product_prod_int_int ) > ( int > product_prod_int_int ) > int > product_prod_int_int ).

thf(func_def_1050,type,
    map_fu3424225382358772769nt_rat: ( int > int ) > ( product_prod_int_int > rat ) > ( int > product_prod_int_int ) > int > rat ).

thf(func_def_1051,type,
    map_fu6531859369801489698at_rat: ( int > int ) > ( rat > rat ) > ( int > rat ) > int > rat ).

thf(func_def_1052,type,
    map_fu1717202910479192016nteger: ( int > nat ) > ( code_integer > code_integer ) > ( nat > code_integer ) > int > code_integer ).

thf(func_def_1053,type,
    map_fu3669222299741785344at_num: ( int > nat ) > ( nat > num ) > ( nat > nat ) > int > num ).

thf(func_def_1054,type,
    map_fu2609383839613498790nt_num: ( int > num ) > ( int > num ) > ( num > int ) > int > num ).

thf(func_def_1055,type,
    map_fu229184005524548567nteger: ( int > num ) > ( num > code_integer ) > ( num > num ) > int > code_integer ).

thf(func_def_1056,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_1057,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_1058,type,
    map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).

thf(func_def_1059,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_1060,type,
    map_fu8224359078269604234nteger: ( nat > nat ) > ( ( int > int ) > code_integer > code_integer ) > ( nat > int > int ) > nat > code_integer > code_integer ).

thf(func_def_1061,type,
    map_fu6981160461238011112atural: ( nat > nat ) > ( ( nat > nat ) > code_natural > code_natural ) > ( nat > nat > nat ) > nat > code_natural > code_natural ).

thf(func_def_1062,type,
    map_fun_nat_nat_o_o: ( nat > nat ) > ( $o > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_1063,type,
    map_fu6290471996055670595nteger: ( nat > nat ) > ( int > code_integer ) > ( nat > int ) > nat > code_integer ).

thf(func_def_1064,type,
    map_fu4742413587575543474atural: ( nat > nat ) > ( nat > code_natural ) > ( nat > nat ) > nat > code_natural ).

thf(func_def_1065,type,
    map_fu8361869985550671104nt_nat: ( nat > num ) > ( int > nat ) > ( num > int ) > nat > nat ).

thf(func_def_1066,type,
    map_fu1090464068875036027nteger: ( nat > num ) > ( num > code_integer ) > ( num > num ) > nat > code_integer ).

thf(func_def_1067,type,
    map_fu1235460277957925907nteger: ( num > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_1068,type,
    map_fu5269526691104299083nteger: ( num > code_integer ) > ( code_integer > code_integer ) > ( code_integer > code_integer ) > num > code_integer ).

thf(func_def_1069,type,
    map_fu8479170043890205655nt_num: ( num > code_integer ) > ( int > num ) > ( code_integer > int ) > num > num ).

thf(func_def_1070,type,
    map_fu7479816331989151099at_num: ( num > code_integer ) > ( nat > num ) > ( code_integer > nat ) > num > num ).

thf(func_def_1071,type,
    map_fu8223014087597717000nteger: ( num > code_integer ) > ( num > code_integer ) > ( code_integer > num ) > num > code_integer ).

thf(func_def_1072,type,
    map_fu6891787308814931657nteger: ( num > num ) > ( ( num > int ) > num > code_integer ) > ( num > num > int ) > num > num > code_integer ).

thf(func_def_1073,type,
    map_fu8638147718074629079nteger: ( num > num ) > ( int > code_integer ) > ( num > int ) > num > code_integer ).

thf(func_def_1074,type,
    map_fu1707080289169145046at_o_o: ( product_prod_nat_nat > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_1075,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_1076,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_1077,type,
    fun_max_strict: set_Pr4329608150637261639at_nat ).

thf(func_def_1078,type,
    fun_max_weak: set_Pr4329608150637261639at_nat ).

thf(func_def_1079,type,
    fun_min_strict: set_Pr4329608150637261639at_nat ).

thf(func_def_1080,type,
    fun_min_weak: set_Pr4329608150637261639at_nat ).

thf(func_def_1081,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

thf(func_def_1082,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

thf(func_def_1083,type,
    fun_re7357418987779152907at_nat: produc4193628355235574503at_nat > $o ).

thf(func_def_1084,type,
    fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).

thf(func_def_1085,type,
    gcd_Gcd_nat: set_nat > nat ).

thf(func_def_1086,type,
    gcd_Lcm_nat: set_nat > nat ).

thf(func_def_1087,type,
    bezw: nat > nat > product_prod_int_int ).

thf(func_def_1088,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_1089,type,
    gcd_gcd_int: int > int > int ).

thf(func_def_1090,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(func_def_1091,type,
    gcd_lcm_nat: nat > nat > nat ).

thf(func_def_1092,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_1093,type,
    abs_abs_Code_integer: code_integer > code_integer ).

thf(func_def_1094,type,
    abs_abs_int: int > int ).

thf(func_def_1095,type,
    abs_abs_rat: rat > rat ).

thf(func_def_1096,type,
    group_Code_integer: ( code_integer > code_integer > code_integer ) > code_integer > ( code_integer > code_integer ) > $o ).

thf(func_def_1097,type,
    group_int: ( int > int > int ) > int > ( int > int ) > $o ).

thf(func_def_1098,type,
    group_rat: ( rat > rat > rat ) > rat > ( rat > rat ) > $o ).

thf(func_def_1099,type,
    minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).

thf(func_def_1100,type,
    minus_7197305767214868737atural: code_natural > code_natural > code_natural ).

thf(func_def_1101,type,
    minus_minus_int: int > int > int ).

thf(func_def_1102,type,
    minus_4286766774447292334at_nat: multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_1103,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_1104,type,
    minus_minus_rat: rat > rat > rat ).

thf(func_def_1105,type,
    minus_minus_set_o: set_o > set_o > set_o ).

thf(func_def_1106,type,
    minus_2355218937544613996nteger: set_Code_integer > set_Code_integer > set_Code_integer ).

thf(func_def_1107,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(func_def_1108,type,
    minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(func_def_1109,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_1110,type,
    minus_minus_set_num: set_num > set_num > set_num ).

thf(func_def_1111,type,
    minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1112,type,
    minus_3314409938677909166at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1113,type,
    minus_6452836326544984404t_unit: set_Product_unit > set_Product_unit > set_Product_unit ).

thf(func_def_1114,type,
    minus_minus_set_rat: set_rat > set_rat > set_rat ).

thf(func_def_1115,type,
    one_one_assn: assn ).

thf(func_def_1116,type,
    one_one_Code_integer: code_integer ).

thf(func_def_1117,type,
    one_one_Code_natural: code_natural ).

thf(func_def_1118,type,
    one_one_int: int ).

thf(func_def_1119,type,
    one_one_nat: nat ).

thf(func_def_1120,type,
    one_one_rat: rat ).

thf(func_def_1121,type,
    plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).

thf(func_def_1122,type,
    plus_p4538020629002901425atural: code_natural > code_natural > code_natural ).

thf(func_def_1123,type,
    plus_plus_int: int > int > int ).

thf(func_def_1124,type,
    plus_p7104986032573967614at_nat: multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_1125,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_1126,type,
    plus_plus_num: num > num > num ).

thf(func_def_1127,type,
    plus_plus_rat: rat > rat > rat ).

thf(func_def_1128,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

thf(func_def_1129,type,
    sgn_sgn_int: int > int ).

thf(func_def_1130,type,
    sgn_sgn_rat: rat > rat ).

thf(func_def_1131,type,
    times_times_assn: assn > assn > assn ).

thf(func_def_1132,type,
    times_3573771949741848930nteger: code_integer > code_integer > code_integer ).

thf(func_def_1133,type,
    times_2397367101498566445atural: code_natural > code_natural > code_natural ).

thf(func_def_1134,type,
    times_times_int: int > int > int ).

thf(func_def_1135,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_1136,type,
    times_times_num: num > num > num ).

thf(func_def_1137,type,
    times_times_rat: rat > rat > rat ).

thf(func_def_1138,type,
    uminus_uminus_nat_o: ( nat > $o ) > nat > $o ).

thf(func_def_1139,type,
    uminus_uminus_o: $o > $o ).

thf(func_def_1140,type,
    uminus1351360451143612070nteger: code_integer > code_integer ).

thf(func_def_1141,type,
    uminus_uminus_int: int > int ).

thf(func_def_1142,type,
    uminus2952777764628376836t_unit: product_unit > product_unit ).

thf(func_def_1143,type,
    uminus_uminus_rat: rat > rat ).

thf(func_def_1144,type,
    uminus804700908173204444nteger: set_Code_integer > set_Code_integer ).

thf(func_def_1145,type,
    uminus1532241313380277803et_int: set_int > set_int ).

thf(func_def_1146,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

thf(func_def_1147,type,
    uminus5944136376168626660t_unit: set_Product_unit > set_Product_unit ).

thf(func_def_1148,type,
    uminus2201863774496077783et_rat: set_rat > set_rat ).

thf(func_def_1149,type,
    zero_z3403309356797280102nteger: code_integer ).

thf(func_def_1150,type,
    zero_z2226904508553997617atural: code_natural ).

thf(func_def_1151,type,
    zero_zero_int: int ).

thf(func_def_1152,type,
    zero_z1048942125864253310at_nat: multis2468970476368604999at_nat ).

thf(func_def_1153,type,
    zero_zero_nat: nat ).

thf(func_def_1154,type,
    zero_zero_rat: rat ).

thf(func_def_1155,type,
    groups4406642042086082107nteger: ( $o > code_integer ) > set_o > code_integer ).

thf(func_def_1156,type,
    groups8505340233167759370_o_int: ( $o > int ) > set_o > int ).

thf(func_def_1157,type,
    groups8507830703676809646_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_1158,type,
    groups7872700643590313910_o_rat: ( $o > rat ) > set_o > rat ).

thf(func_def_1159,type,
    groups879477027807139574nteger: ( code_integer > code_integer ) > set_Code_integer > code_integer ).

thf(func_def_1160,type,
    groups7234854612051535045er_int: ( code_integer > int ) > set_Code_integer > int ).

thf(func_def_1161,type,
    groups7237345082560585321er_nat: ( code_integer > nat ) > set_Code_integer > nat ).

thf(func_def_1162,type,
    groups6602215022474089585er_rat: ( code_integer > rat ) > set_Code_integer > rat ).

thf(func_def_1163,type,
    groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_1164,type,
    groups4538972089207619220nt_int: ( int > int ) > set_int > int ).

thf(func_def_1165,type,
    groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_1166,type,
    groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_1167,type,
    groups4396056296759096172at_nat: ( list_nat > nat ) > set_list_nat > nat ).

thf(func_def_1168,type,
    groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_1169,type,
    groups6325495683096345652atural: ( nat > code_natural ) > set_nat > code_natural ).

thf(func_def_1170,type,
    groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).

thf(func_def_1171,type,
    groups6857163185585827899at_nat: ( nat > multis2468970476368604999at_nat ) > set_nat > multis2468970476368604999at_nat ).

thf(func_def_1172,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_1173,type,
    groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_1174,type,
    groups5442708359310287027nteger: ( num > code_integer ) > set_num > code_integer ).

thf(func_def_1175,type,
    groups196832835297161892nteger: ( product_prod_nat_nat > code_integer ) > set_Pr1261947904930325089at_nat > code_integer ).

thf(func_def_1176,type,
    groups977919841031483927at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_1177,type,
    groups342789780944988191at_rat: ( product_prod_nat_nat > rat ) > set_Pr1261947904930325089at_nat > rat ).

thf(func_def_1178,type,
    groups8766797177574957219it_nat: ( product_unit > nat ) > set_Product_unit > nat ).

thf(func_def_1179,type,
    groups2416162284031854641er_int: ( set_set_Code_integer > int ) > set_se8531188866349061887nteger > int ).

thf(func_def_1180,type,
    groups1080061135233207040nt_int: ( set_set_int > int ) > set_set_set_int > int ).

thf(func_def_1181,type,
    groups7004213669654646580at_int: ( set_set_list_nat > int ) > set_set_set_list_nat > int ).

thf(func_def_1182,type,
    groups7084729577923612836at_int: ( set_set_nat > int ) > set_set_set_nat > int ).

thf(func_def_1183,type,
    groups1759609815103008563at_int: ( set_se7855581050983116737at_nat > int ) > set_se5158245632345848097at_nat > int ).

thf(func_def_1184,type,
    groups9212676010950626495it_int: ( set_set_Product_unit > int ) > set_se7118615804146677933t_unit > int ).

thf(func_def_1185,type,
    groups1402912129352969042nteger: ( $o > code_integer ) > set_o > code_integer ).

thf(func_def_1186,type,
    groups4556407284786078405_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_1187,type,
    groups3921277224699582669_o_rat: ( $o > rat ) > set_o > rat ).

thf(func_def_1188,type,
    groups910942671188738463nteger: ( code_integer > code_integer ) > set_Code_integer > code_integer ).

thf(func_def_1189,type,
    groups288081504127972206er_int: ( code_integer > int ) > set_Code_integer > int ).

thf(func_def_1190,type,
    groups290571974637022482er_nat: ( code_integer > nat ) > set_Code_integer > nat ).

thf(func_def_1191,type,
    groups8878813951405302554er_rat: ( code_integer > rat ) > set_Code_integer > rat ).

thf(func_def_1192,type,
    groups926780983652909934nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_1193,type,
    groups2983280209131991357nt_int: ( int > int ) > set_int > int ).

thf(func_def_1194,type,
    groups2985770679641041633nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_1195,type,
    groups2350640619554545897nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_1196,type,
    groups555127423416065298nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_1197,type,
    groups1983926497230936801at_int: ( nat > int ) > set_nat > int ).

thf(func_def_1198,type,
    groups1986416967739987077at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_1199,type,
    groups1351286907653491341at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_1200,type,
    groups3328076802468863542at_rat: ( product_prod_nat_nat > rat ) > set_Pr1261947904930325089at_nat > rat ).

thf(func_def_1201,type,
    groups5301882518646026715o_assn: ( $o > assn ) > set_o > assn ).

thf(func_def_1202,type,
    groups7694694392188491536nteger: ( $o > code_integer ) > set_o > code_integer ).

thf(func_def_1203,type,
    groups3502327434004483295_o_int: ( $o > int ) > set_o > int ).

thf(func_def_1204,type,
    groups3504817904513533571_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_1205,type,
    groups2869687844427037835_o_rat: ( $o > rat ) > set_o > rat ).

thf(func_def_1206,type,
    groups1304777262505850412r_assn: ( code_integer > assn ) > set_Code_integer > assn ).

thf(func_def_1207,type,
    groups3674199335183972705nteger: ( code_integer > code_integer ) > set_Code_integer > code_integer ).

thf(func_def_1208,type,
    groups3188404863801439024er_int: ( code_integer > int ) > set_Code_integer > int ).

thf(func_def_1209,type,
    groups3190895334310489300er_nat: ( code_integer > nat ) > set_Code_integer > nat ).

thf(func_def_1210,type,
    groups2555765274223993564er_rat: ( code_integer > rat ) > set_Code_integer > rat ).

thf(func_def_1211,type,
    groups7882442080178216443t_assn: ( int > assn ) > set_int > assn ).

thf(func_def_1212,type,
    groups3827104343326376752nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_1213,type,
    groups1705073143266064639nt_int: ( int > int ) > set_int > int ).

thf(func_def_1214,type,
    groups1707563613775114915nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_1215,type,
    groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_1216,type,
    groups6906906614972039071t_assn: ( nat > assn ) > set_nat > assn ).

thf(func_def_1217,type,
    groups3455450783089532116nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_1218,type,
    groups2279045934846249631atural: ( nat > code_natural ) > set_nat > code_natural ).

thf(func_def_1219,type,
    groups705719431365010083at_int: ( nat > int ) > set_nat > int ).

thf(func_def_1220,type,
    groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_1221,type,
    groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_1222,type,
    groups1396258611060191006nteger: ( num > code_integer ) > set_num > code_integer ).

thf(func_def_1223,type,
    groups4075276357253098568at_int: ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > int ).

thf(func_def_1224,type,
    groups4077766827762148844at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_1225,type,
    groups5360233303959380816t_assn: ( product_unit > assn ) > set_Product_unit > assn ).

thf(func_def_1226,type,
    groups8185359811944078981nteger: ( product_unit > code_integer ) > set_Product_unit > code_integer ).

thf(func_def_1227,type,
    groups8984663225794451456it_rat: ( product_unit > rat ) > set_Product_unit > rat ).

thf(func_def_1228,type,
    groups6963733262650904763o_assn: ( set_o > assn ) > set_set_o > assn ).

thf(func_def_1229,type,
    groups8987389756002350576nteger: ( set_o > code_integer ) > set_set_o > code_integer ).

thf(func_def_1230,type,
    groups4868773677410035043_o_nat: ( set_o > nat ) > set_set_o > nat ).

thf(func_def_1231,type,
    groups4233643617323539307_o_rat: ( set_o > rat ) > set_set_o > rat ).

thf(func_def_1232,type,
    groups4245288774754739042r_assn: ( set_Code_integer > assn ) > set_set_Code_integer > assn ).

thf(func_def_1233,type,
    groups1474571732273379991nteger: ( set_Code_integer > code_integer ) > set_set_Code_integer > code_integer ).

thf(func_def_1234,type,
    groups5409254039008640018er_rat: ( set_Code_integer > rat ) > set_set_Code_integer > rat ).

thf(func_def_1235,type,
    groups5950967880310095793t_assn: ( set_int > assn ) > set_set_int > assn ).

thf(func_def_1236,type,
    groups8770619586034088166nteger: ( set_int > code_integer ) > set_set_int > code_integer ).

thf(func_def_1237,type,
    groups5800339274786551393nt_rat: ( set_int > rat ) > set_set_int > rat ).

thf(func_def_1238,type,
    groups12625163056032370o_assn: ( $o > assn ) > set_o > assn ).

thf(func_def_1239,type,
    groups2836416601086271911nteger: ( $o > code_integer ) > set_o > code_integer ).

thf(func_def_1240,type,
    groups5320751605702587254_o_int: ( $o > int ) > set_o > int ).

thf(func_def_1241,type,
    groups5323242076211637530_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_1242,type,
    groups4688112016125141794_o_rat: ( $o > rat ) > set_o > rat ).

thf(func_def_1243,type,
    groups980104329299799381r_assn: ( code_integer > assn ) > set_Code_integer > assn ).

thf(func_def_1244,type,
    groups7219916603568234122nteger: ( code_integer > code_integer ) > set_Code_integer > code_integer ).

thf(func_def_1245,type,
    groups4891613008741529892t_assn: ( int > assn ) > set_int > assn ).

thf(func_def_1246,type,
    groups8661743855124024409nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_1247,type,
    groups5744458235038148136nt_int: ( int > int ) > set_int > int ).

thf(func_def_1248,type,
    groups5746948705547198412nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_1249,type,
    groups5111818645460702676nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_1250,type,
    groups3916077543535352520t_assn: ( nat > assn ) > set_nat > assn ).

thf(func_def_1251,type,
    groups8290090294887179773nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_1252,type,
    groups4745104523137093580at_int: ( nat > int ) > set_nat > int ).

thf(func_def_1253,type,
    groups4747594993646143856at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_1254,type,
    groups4112464933559648120at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_1255,type,
    groups4561878855575611511st_nat: list_nat > nat ).

thf(func_def_1256,type,
    nO_MAT8252062027627875367nteger: code_integer > code_integer > $o ).

thf(func_def_1257,type,
    nO_MAT8427913294028938742er_int: code_integer > int > $o ).

thf(func_def_1258,type,
    nO_MAT8430403764537989018er_nat: code_integer > nat > $o ).

thf(func_def_1259,type,
    nO_MAT7795273704451493282er_rat: code_integer > rat > $o ).

thf(func_def_1260,type,
    nO_MATCH_int_int: int > int > $o ).

thf(func_def_1261,type,
    nO_MATCH_int_nat: int > nat > $o ).

thf(func_def_1262,type,
    nO_MATCH_int_rat: int > rat > $o ).

thf(func_def_1263,type,
    nO_MATCH_nat_int: nat > int > $o ).

thf(func_def_1264,type,
    nO_MATCH_nat_nat: nat > nat > $o ).

thf(func_def_1265,type,
    nO_MATCH_nat_rat: nat > rat > $o ).

thf(func_def_1266,type,
    nO_MATCH_rat_rat: rat > rat > $o ).

thf(func_def_1267,type,
    the_int: ( int > $o ) > int ).

thf(func_def_1268,type,
    defaul566961228789861419t_unit: product_unit ).

thf(func_def_1269,type,
    undefined_array_a: array_a ).

thf(func_def_1270,type,
    undefi8805113437130903861t_unit: heap_e7401611519738050253t_unit ).

thf(func_def_1271,type,
    undefined_num: num ).

thf(func_def_1272,type,
    undefi2974082611360736373t_unit: product_unit ).

thf(func_def_1273,type,
    arrays_Product_unit: heap_e7401611519738050253t_unit > typerep > nat > list_nat ).

thf(func_def_1274,type,
    lim_Product_unit: heap_e7401611519738050253t_unit > nat ).

thf(func_def_1275,type,
    refs_Product_unit: heap_e7401611519738050253t_unit > typerep > nat > nat ).

thf(func_def_1276,type,
    heap_T1488828001306802186rray_a: ( heap_e7401611519738050253t_unit > option3216581401566546698it_nat ) > heap_T6362127782908069795rray_a ).

thf(func_def_1277,type,
    heap_T6183433275982383450t_unit: ( heap_e7401611519738050253t_unit > option8956607266484857688it_nat ) > heap_T5738788834812785303t_unit ).

thf(func_def_1278,type,
    heap_T4142866422068808505t_unit: ( product_unit > nat ) > heap_T5738788834812785303t_unit > nat ).

thf(func_def_1279,type,
    heap_T3039585018531920163rray_a: heap_T6362127782908069795rray_a > heap_T6362127782908069795rray_a > $o ).

thf(func_def_1280,type,
    heap_T499439718319394433t_unit: heap_T5738788834812785303t_unit > heap_T5738788834812785303t_unit > $o ).

thf(func_def_1281,type,
    heap_T7971689983404357896rray_a: ( array_a > $o ) > array_a > heap_T6362127782908069795rray_a ).

thf(func_def_1282,type,
    heap_T4208721593536448476t_unit: ( product_unit > $o ) > product_unit > heap_T5738788834812785303t_unit ).

thf(func_def_1283,type,
    heap_T2407400398799471159rray_a: heap_T6362127782908069795rray_a > ( array_a > heap_T6362127782908069795rray_a ) > heap_T6362127782908069795rray_a ).

thf(func_def_1284,type,
    heap_T7324619625323989613t_unit: heap_T6362127782908069795rray_a > ( array_a > heap_T5738788834812785303t_unit ) > heap_T5738788834812785303t_unit ).

thf(func_def_1285,type,
    heap_T7158140910958840029rray_a: heap_T5738788834812785303t_unit > ( product_unit > heap_T6362127782908069795rray_a ) > heap_T6362127782908069795rray_a ).

thf(func_def_1286,type,
    heap_T2633723481742716231t_unit: heap_T5738788834812785303t_unit > ( product_unit > heap_T5738788834812785303t_unit ) > heap_T5738788834812785303t_unit ).

thf(func_def_1287,type,
    heap_T5830633491639066771rray_a: heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > array_a > nat > $o ).

thf(func_def_1288,type,
    heap_T6553295506729943825t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > product_unit > nat > $o ).

thf(func_def_1289,type,
    heap_T5591663578999710211rray_a: heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit > option3216581401566546698it_nat ).

thf(func_def_1290,type,
    heap_T875086893843062177t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > option8956607266484857688it_nat ).

thf(func_def_1291,type,
    heap_T7685628758766326643rray_a: ( heap_e7401611519738050253t_unit > $o ) > ( heap_e7401611519738050253t_unit > produc6714399278180371524it_nat ) > heap_T6362127782908069795rray_a ).

thf(func_def_1292,type,
    heap_T8440541562793052209t_unit: ( heap_e7401611519738050253t_unit > $o ) > ( heap_e7401611519738050253t_unit > produc8664842809031399944it_nat ) > heap_T5738788834812785303t_unit ).

thf(func_def_1293,type,
    heap_T7473999186002612558rray_a: ( heap_e7401611519738050253t_unit > produc6714399278180371524it_nat ) > heap_T6362127782908069795rray_a ).

thf(func_def_1294,type,
    heap_T6927113302350381334t_unit: ( heap_e7401611519738050253t_unit > produc8664842809031399944it_nat ) > heap_T5738788834812785303t_unit ).

thf(func_def_1295,type,
    heap_T1552190017797416154rray_a: list_char > heap_T6362127782908069795rray_a ).

thf(func_def_1296,type,
    heap_T2927564422264180874t_unit: list_char > heap_T5738788834812785303t_unit ).

thf(func_def_1297,type,
    heap_T4896204969850773234rray_a: array_a > heap_T6362127782908069795rray_a ).

thf(func_def_1298,type,
    heap_T7507251653302230130t_unit: product_unit > heap_T5738788834812785303t_unit ).

thf(func_def_1299,type,
    heap_T6932021131025641745rray_a: heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit > $o ).

thf(func_def_1300,type,
    heap_T584514906347983379t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > $o ).

thf(func_def_1301,type,
    heap_T2055650868554030641rray_a: ( heap_e7401611519738050253t_unit > array_a ) > heap_T6362127782908069795rray_a ).

thf(func_def_1302,type,
    heap_T560649228465745139t_unit: ( heap_e7401611519738050253t_unit > product_unit ) > heap_T5738788834812785303t_unit ).

thf(func_def_1303,type,
    heap_T531568236820715630rray_a: nat > option3216581401566546698it_nat > option3216581401566546698it_nat ).

thf(func_def_1304,type,
    heap_T3616969660504097270t_unit: nat > option8956607266484857688it_nat > option8956607266484857688it_nat ).

thf(func_def_1305,type,
    heap_T6578553156929092987rray_a: produc2867611627572283311it_nat > produc2867611627572283311it_nat > $o ).

thf(func_def_1306,type,
    heap_T996182799752388649t_unit: produc3911288613690379145it_nat > produc3911288613690379145it_nat > $o ).

thf(func_def_1307,type,
    heap_T4328122439115681491rray_a: array_a > heap_T6362127782908069795rray_a ).

thf(func_def_1308,type,
    heap_T4284346855313245393t_unit: product_unit > heap_T5738788834812785303t_unit ).

thf(func_def_1309,type,
    heap_Time_wait: nat > heap_T5738788834812785303t_unit ).

thf(func_def_1310,type,
    if_assn: $o > assn > assn > assn ).

thf(func_def_1311,type,
    if_Code_integer: $o > code_integer > code_integer > code_integer ).

thf(func_def_1312,type,
    if_Code_natural: $o > code_natural > code_natural > code_natural ).

thf(func_def_1313,type,
    if_Hea5896630067203373929rray_a: $o > heap_T6362127782908069795rray_a > heap_T6362127782908069795rray_a > heap_T6362127782908069795rray_a ).

thf(func_def_1314,type,
    if_Hea8138950348631371857t_unit: $o > heap_T5738788834812785303t_unit > heap_T5738788834812785303t_unit > heap_T5738788834812785303t_unit ).

thf(func_def_1315,type,
    if_int: $o > int > int > int ).

thf(func_def_1316,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(func_def_1317,type,
    if_mul8430962117462786573at_nat: $o > multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_1318,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_1319,type,
    if_num: $o > num > num > num ).

thf(func_def_1320,type,
    if_option_num: $o > option_num > option_num > option_num ).

thf(func_def_1321,type,
    if_opt7017092727090204112it_nat: $o > option3216581401566546698it_nat > option3216581401566546698it_nat > option3216581401566546698it_nat ).

thf(func_def_1322,type,
    if_opt1729522071442692626it_nat: $o > option8956607266484857688it_nat > option8956607266484857688it_nat > option8956607266484857688it_nat ).

thf(func_def_1323,type,
    if_opt6227717841141446553t_unit: $o > option_Product_unit > option_Product_unit > option_Product_unit ).

thf(func_def_1324,type,
    if_option_set_o: $o > option_set_o > option_set_o > option_set_o ).

thf(func_def_1325,type,
    if_option_set_int: $o > option_set_int > option_set_int > option_set_int ).

thf(func_def_1326,type,
    if_option_set_nat: $o > option_set_nat > option_set_nat > option_set_nat ).

thf(func_def_1327,type,
    if_opt7704869406773131885at_nat: $o > option8963830502488799655at_nat > option8963830502488799655at_nat > option8963830502488799655at_nat ).

thf(func_def_1328,type,
    if_opt5121585740920863443at_nat: $o > option1583680563626158861at_nat > option1583680563626158861at_nat > option1583680563626158861at_nat ).

thf(func_def_1329,type,
    if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).

thf(func_def_1330,type,
    if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_1331,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(func_def_1332,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_1333,type,
    if_rat: $o > rat > rat > rat ).

thf(func_def_1334,type,
    if_set_int: $o > set_int > set_int > set_int ).

thf(func_def_1335,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(func_def_1336,type,
    neg: num > int ).

thf(func_def_1337,type,
    pos: num > int ).

thf(func_def_1338,type,
    rep_Integ: int > product_prod_nat_nat ).

thf(func_def_1339,type,
    dup: int > int ).

thf(func_def_1340,type,
    intrel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_1341,type,
    nat2: int > nat ).

thf(func_def_1342,type,
    pcr_int: product_prod_nat_nat > int > $o ).

thf(func_def_1343,type,
    ring_11222124179247155820nteger: set_Code_integer ).

thf(func_def_1344,type,
    ring_1_Ints_int: set_int ).

thf(func_def_1345,type,
    ring_1_Ints_rat: set_rat ).

thf(func_def_1346,type,
    ring_18347121197199848620nteger: int > code_integer ).

thf(func_def_1347,type,
    ring_1_of_int_int: int > int ).

thf(func_def_1348,type,
    ring_1_of_int_rat: int > rat ).

thf(func_def_1349,type,
    sub: num > num > int ).

thf(func_def_1350,type,
    inf_inf_assn: assn > assn > assn ).

thf(func_def_1351,type,
    inf_inf_Product_unit: product_unit > product_unit > product_unit ).

thf(func_def_1352,type,
    inf_inf_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_1353,type,
    sup_su600977994968626096_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_1354,type,
    sup_su234547053653886311eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_1355,type,
    sup_su6535292691877529429_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_1356,type,
    sup_su1630790145277462993_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1357,type,
    sup_su4182031696650224058_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_1358,type,
    sup_sup_nat_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > nat > $o ).

thf(func_def_1359,type,
    sup_su7519161239522478338_nat_o: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1360,type,
    sup_sup_assn: assn > assn > assn ).

thf(func_def_1361,type,
    sup_sup_option_assn: option_assn > option_assn > option_assn ).

thf(func_def_1362,type,
    sup_su7717485023253700007t_unit: option_Product_unit > option_Product_unit > option_Product_unit ).

thf(func_def_1363,type,
    sup_su3598758113090618626et_nat: option_set_nat > option_set_nat > option_set_nat ).

thf(func_def_1364,type,
    sup_su2273273666271716065at_nat: option1583680563626158861at_nat > option1583680563626158861at_nat > option1583680563626158861at_nat ).

thf(func_def_1365,type,
    sup_sup_Product_unit: product_unit > product_unit > product_unit ).

thf(func_def_1366,type,
    sup_sup_set_o: set_o > set_o > set_o ).

thf(func_def_1367,type,
    sup_su848401254843788991nteger: set_Code_integer > set_Code_integer > set_Code_integer ).

thf(func_def_1368,type,
    sup_sup_set_int: set_int > set_int > set_int ).

thf(func_def_1369,type,
    sup_sup_set_list_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(func_def_1370,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_1371,type,
    sup_sup_set_num: set_num > set_num > set_num ).

thf(func_def_1372,type,
    sup_su3298353300217089135nt_int: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int ).

thf(func_def_1373,type,
    sup_su4591284015454442744nteger: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger ).

thf(func_def_1374,type,
    sup_su8975264963432250076et_nat: set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat ).

thf(func_def_1375,type,
    sup_su7128418612487073120et_nat: set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat ).

thf(func_def_1376,type,
    sup_su3382966977382714213nt_int: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int ).

thf(func_def_1377,type,
    sup_su5769328420594410459od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o ).

thf(func_def_1378,type,
    sup_su6189057272928884437_o_int: set_Pr8834758594704517033_o_int > set_Pr8834758594704517033_o_int > set_Pr8834758594704517033_o_int ).

thf(func_def_1379,type,
    sup_su8679140417860611193_o_nat: set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat ).

thf(func_def_1380,type,
    sup_su7481598572368468931_int_o: set_Pr903927857289325719_int_o > set_Pr903927857289325719_int_o > set_Pr903927857289325719_int_o ).

thf(func_def_1381,type,
    sup_su6024340866399070445nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_1382,type,
    sup_su8514424011330797201nt_nat: set_Pr3448869479623346877nt_nat > set_Pr3448869479623346877nt_nat > set_Pr3448869479623346877nt_nat ).

thf(func_def_1383,type,
    sup_su503371503184139039_nat_o: set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o ).

thf(func_def_1384,type,
    sup_su3837419291706048657at_int: set_Pr7995236796853374141at_int > set_Pr7995236796853374141at_int > set_Pr7995236796853374141at_int ).

thf(func_def_1385,type,
    sup_su6327502436637775413at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1386,type,
    sup_su5921324857680904370_nat_o: set_Pr6558897299634722526_nat_o > set_Pr6558897299634722526_nat_o > set_Pr6558897299634722526_nat_o ).

thf(func_def_1387,type,
    sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1388,type,
    sup_su793286257634532545t_unit: set_Product_unit > set_Product_unit > set_Product_unit ).

thf(func_def_1389,type,
    sup_sup_set_rat: set_rat > set_rat > set_rat ).

thf(func_def_1390,type,
    sup_su3642409539654194069at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).

thf(func_def_1391,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(func_def_1392,type,
    lattic7826324295020591184_F_nat: ( nat > nat > nat ) > nat > set_nat > nat ).

thf(func_def_1393,type,
    quotie2291698863146621601nteger: ( int > int > $o ) > ( int > code_integer ) > ( code_integer > int ) > ( int > code_integer > $o ) > $o ).

thf(func_def_1394,type,
    quotie743640454666494480atural: ( nat > nat > $o ) > ( nat > code_natural ) > ( code_natural > nat ) > ( nat > code_natural > $o ) > $o ).

thf(func_def_1395,type,
    append_int: list_int > list_int > list_int ).

thf(func_def_1396,type,
    append_nat: list_nat > list_nat > list_nat ).

thf(func_def_1397,type,
    butlast_nat: list_nat > list_nat ).

thf(func_def_1398,type,
    drop_nat: nat > list_nat > list_nat ).

thf(func_def_1399,type,
    filter_nat: ( nat > $o ) > list_nat > list_nat ).

thf(func_def_1400,type,
    fold_nat_nat: ( nat > nat > nat ) > list_nat > nat > nat ).

thf(func_def_1401,type,
    last_nat: list_nat > nat ).

thf(func_def_1402,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

thf(func_def_1403,type,
    cons_int: int > list_int > list_int ).

thf(func_def_1404,type,
    cons_nat: nat > list_nat > list_nat ).

thf(func_def_1405,type,
    nil_int: list_int ).

thf(func_def_1406,type,
    nil_nat: list_nat ).

thf(func_def_1407,type,
    map_nat_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_1408,type,
    set_int2: list_int > set_int ).

thf(func_def_1409,type,
    set_nat2: list_nat > set_nat ).

thf(func_def_1410,type,
    nth_int: list_int > nat > int ).

thf(func_def_1411,type,
    nth_nat: list_nat > nat > nat ).

thf(func_def_1412,type,
    take_nat: nat > list_nat > list_nat ).

thf(func_def_1413,type,
    upt: nat > nat > list_nat ).

thf(func_def_1414,type,
    upto: int > int > list_int ).

thf(func_def_1415,type,
    upto_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_1416,type,
    eps_Opt_nat: ( nat > $o ) > option_nat ).

thf(func_def_1417,type,
    eps_Opt_num: ( num > $o ) > option_num ).

thf(func_def_1418,type,
    eps_Op6423059015816587746et_nat: ( produc3925858234332021118et_nat > $o ) > option5190343406534369742et_nat ).

thf(func_def_1419,type,
    eps_Op9034888937550303799nteger: ( produc8923325533196201883nteger > $o ) > option2651255830984564193nteger ).

thf(func_def_1420,type,
    eps_Op1141264490366522080it_nat: ( produc6714399278180371524it_nat > $o ) > option3216581401566546698it_nat ).

thf(func_def_1421,type,
    eps_Op2013419657081471078et_nat: ( produc3658429121746597890et_nat > $o ) > option936205604648967762et_nat ).

thf(func_def_1422,type,
    eps_Op2446201859369042517nt_int: ( product_prod_int_int > $o ) > option4624381673175914239nt_int ).

thf(func_def_1423,type,
    eps_Op3393321821070424684it_nat: ( produc8664842809031399944it_nat > $o ) > option8956607266484857688it_nat ).

thf(func_def_1424,type,
    eps_Op994234036888646909at_nat: ( set_Pr1261947904930325089at_nat > $o ) > option8963830502488799655at_nat ).

thf(func_def_1425,type,
    biject576505603616484041nt_int: set_Pr1872883991513573699nt_int > $o ).

thf(func_def_1426,type,
    biject9051520373387432658nteger: set_Pr1281608226676607948nteger > $o ).

thf(func_def_1427,type,
    biject1468766312547416318et_nat: set_Pr8536935166611901872et_nat > $o ).

thf(func_def_1428,type,
    biject2615096655818420098et_nat: set_Pr3286484037609594932et_nat > $o ).

thf(func_def_1429,type,
    biject383251550997737151nt_int: set_Pr9222295170931077689nt_int > $o ).

thf(func_def_1430,type,
    bijective_nat_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1431,type,
    biject3388518990857851981at_nat: set_Pr4329608150637261639at_nat > $o ).

thf(func_def_1432,type,
    dflt_None_set_o: set_o > option_set_o ).

thf(func_def_1433,type,
    dflt_None_set_int: set_int > option_set_int ).

thf(func_def_1434,type,
    dflt_None_set_nat: set_nat > option_set_nat ).

thf(func_def_1435,type,
    dflt_N6592383573632408824at_nat: set_Pr1261947904930325089at_nat > option8963830502488799655at_nat ).

thf(func_def_1436,type,
    dflt_N3208751546879591902at_nat: set_Pr4329608150637261639at_nat > option1583680563626158861at_nat ).

thf(func_def_1437,type,
    map_mmupd_o_num: ( $o > option_num ) > set_o > num > $o > option_num ).

thf(func_def_1438,type,
    map_mm4340940675810032635it_nat: ( $o > option8956607266484857688it_nat ) > set_o > produc8664842809031399944it_nat > $o > option8956607266484857688it_nat ).

thf(func_def_1439,type,
    map_mmupd_int_num: ( int > option_num ) > set_int > num > int > option_num ).

thf(func_def_1440,type,
    map_mm5942422175790858651it_nat: ( int > option8956607266484857688it_nat ) > set_int > produc8664842809031399944it_nat > int > option8956607266484857688it_nat ).

thf(func_def_1441,type,
    map_mmupd_nat_num: ( nat > option_num ) > set_nat > num > nat > option_num ).

thf(func_def_1442,type,
    map_mm4316137065318800191it_nat: ( nat > option8956607266484857688it_nat ) > set_nat > produc8664842809031399944it_nat > nat > option8956607266484857688it_nat ).

thf(func_def_1443,type,
    map_mm6272435474268545910at_num: ( product_prod_nat_nat > option_num ) > set_Pr1261947904930325089at_nat > num > product_prod_nat_nat > option_num ).

thf(func_def_1444,type,
    map_mm8925508573636269924it_nat: ( product_prod_nat_nat > option8956607266484857688it_nat ) > set_Pr1261947904930325089at_nat > produc8664842809031399944it_nat > product_prod_nat_nat > option8956607266484857688it_nat ).

thf(func_def_1445,type,
    map_mm2124855372588256220at_num: ( produc3843707927480180839at_nat > option_num ) > set_Pr4329608150637261639at_nat > num > produc3843707927480180839at_nat > option_num ).

thf(func_def_1446,type,
    map_mm6227321356191524810it_nat: ( produc3843707927480180839at_nat > option8956607266484857688it_nat ) > set_Pr4329608150637261639at_nat > produc8664842809031399944it_nat > produc3843707927480180839at_nat > option8956607266484857688it_nat ).

thf(func_def_1447,type,
    pairself_int_int: ( int > int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_1448,type,
    pairse3534876335208825186e_term: ( int > option6357759511663192854e_term ) > product_prod_int_int > produc6576344331059438605e_term ).

thf(func_def_1449,type,
    pairse4825235148789309005nteger: ( nat > code_integer ) > product_prod_nat_nat > produc8923325533196201883nteger ).

thf(func_def_1450,type,
    pairself_nat_int: ( nat > int ) > product_prod_nat_nat > product_prod_int_int ).

thf(func_def_1451,type,
    pairself_nat_nat: ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_1452,type,
    pairself_nat_set_nat: ( nat > set_nat ) > product_prod_nat_nat > produc7819656566062154093et_nat ).

thf(func_def_1453,type,
    pairse6848479906795794847e_term: produc7773217078559923341nt_int > produc7773217078559923341nt_int > $o ).

thf(func_def_1454,type,
    rel_of5543720577181062686nt_int: ( ( int > option6357759511663192854e_term ) > option4624381673175914239nt_int ) > ( produc7773217078559923341nt_int > $o ) > set_Pr1872883991513573699nt_int ).

thf(func_def_1455,type,
    rel_of7835217753297429671nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > option2651255830984564193nteger ) > ( produc1908205239877642774nteger > $o ) > set_Pr1281608226676607948nteger ).

thf(func_def_1456,type,
    rel_of7774016450764239315et_nat: ( ( produc3658429121746597890et_nat > $o ) > option5190343406534369742et_nat ) > ( produc2732055786443039994et_nat > $o ) > set_Pr8536935166611901872et_nat ).

thf(func_def_1457,type,
    rel_of4838799251197538391et_nat: ( ( produc3658429121746597890et_nat > $o ) > option936205604648967762et_nat ) > ( produc3925858234332021118et_nat > $o ) > set_Pr3286484037609594932et_nat ).

thf(func_def_1458,type,
    rel_of8306664904814525588nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > option4624381673175914239nt_int ) > ( produc2285326912895808259nt_int > $o ) > set_Pr9222295170931077689nt_int ).

thf(func_def_1459,type,
    rel_of_nat_nat: ( nat > option_nat ) > ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_1460,type,
    rel_of6563097375766832824at_nat: ( set_Pr1261947904930325089at_nat > option8963830502488799655at_nat ) > ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_1461,type,
    set_to1653371902132773855nt_int: set_Pr1872883991513573699nt_int > ( int > option6357759511663192854e_term ) > option4624381673175914239nt_int ).

thf(func_def_1462,type,
    set_to680829756418416360nteger: set_Pr1281608226676607948nteger > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > option2651255830984564193nteger ).

thf(func_def_1463,type,
    set_to2047380710992656148et_nat: set_Pr8536935166611901872et_nat > ( produc3658429121746597890et_nat > $o ) > option5190343406534369742et_nat ).

thf(func_def_1464,type,
    set_to6040779677306527128et_nat: set_Pr3286484037609594932et_nat > ( produc3658429121746597890et_nat > $o ) > option936205604648967762et_nat ).

thf(func_def_1465,type,
    set_to6585427216324510421nt_int: set_Pr9222295170931077689nt_int > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > option4624381673175914239nt_int ).

thf(func_def_1466,type,
    set_to_map_o_num: set_Pr7040061329075590551_o_num > $o > option_num ).

thf(func_def_1467,type,
    set_to3023635543527487849it_nat: set_Pr6777250647868329861it_nat > $o > option8956607266484857688it_nat ).

thf(func_def_1468,type,
    set_to6264436334439079987nteger: set_Pr4811707699266497531nteger > code_integer > option_Code_integer ).

thf(func_def_1469,type,
    set_to6039658477269176016atural: set_Pr2352657477744078772atural > code_natural > option5403585828896915703atural ).

thf(func_def_1470,type,
    set_to_map_int_int: set_Pr958786334691620121nt_int > int > option_int ).

thf(func_def_1471,type,
    set_to_map_int_num: set_Pr8387461105917469447nt_num > int > option_num ).

thf(func_def_1472,type,
    set_to_map_nat_nat: set_Pr1261947904930325089at_nat > nat > option_nat ).

thf(func_def_1473,type,
    set_to_map_nat_num: set_Pr6200539531224447659at_num > nat > option_num ).

thf(func_def_1474,type,
    set_to785951348762482001it_nat: set_Pr633603713510679705it_nat > nat > option8956607266484857688it_nat ).

thf(func_def_1475,type,
    set_to5081529003106763492at_num: set_Pr7477759153910077568at_num > product_prod_nat_nat > option_num ).

thf(func_def_1476,type,
    set_to4447731662395764663at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > option8963830502488799655at_nat ).

thf(func_def_1477,type,
    the_default_num: num > option_num > num ).

thf(func_def_1478,type,
    the_de8559148246674365659it_nat: produc6714399278180371524it_nat > option3216581401566546698it_nat > produc6714399278180371524it_nat ).

thf(func_def_1479,type,
    the_de2487931475039285041it_nat: produc8664842809031399944it_nat > option8956607266484857688it_nat > produc8664842809031399944it_nat ).

thf(func_def_1480,type,
    the_default_set_o: set_o > option_set_o > set_o ).

thf(func_def_1481,type,
    the_default_set_int: set_int > option_set_int > set_int ).

thf(func_def_1482,type,
    the_default_set_nat: set_nat > option_set_nat > set_nat ).

thf(func_def_1483,type,
    the_de3668382347305825784at_nat: set_Pr1261947904930325089at_nat > option8963830502488799655at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1484,type,
    the_de6830073021511528542at_nat: set_Pr4329608150637261639at_nat > option1583680563626158861at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1485,type,
    uncurry_int_int_int: ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_1486,type,
    uncurr7650761721940715016nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_1487,type,
    uncurr7511940902602773877_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_1488,type,
    uncurr8011562610307062878at_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_1489,type,
    uncurry_nat_nat_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_1490,type,
    add_ms2612439473150266591at_nat: product_prod_nat_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_1491,type,
    ms_strict: set_Pr8551490117392284871at_nat ).

thf(func_def_1492,type,
    ms_weak: set_Pr8551490117392284871at_nat ).

thf(func_def_1493,type,
    pw_leq: multis2468970476368604999at_nat > multis2468970476368604999at_nat > $o ).

thf(func_def_1494,type,
    set_ms8126754132646256062at_nat: multis2468970476368604999at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1495,type,
    suc: nat > nat ).

thf(func_def_1496,type,
    compow_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_1497,type,
    case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).

thf(func_def_1498,type,
    semiri4939895301339042750nteger: nat > code_integer ).

thf(func_def_1499,type,
    semiri3763490453095760265atural: nat > code_natural ).

thf(func_def_1500,type,
    semiri1314217659103216013at_int: nat > int ).

thf(func_def_1501,type,
    semiri1316708129612266289at_nat: nat > nat ).

thf(func_def_1502,type,
    semiri681578069525770553at_rat: nat > rat ).

thf(func_def_1503,type,
    semiri4055485073559036834nteger: ( code_integer > code_integer ) > nat > code_integer > code_integer ).

thf(func_def_1504,type,
    semiri2879080225315754349atural: ( code_natural > code_natural ) > nat > code_natural > code_natural ).

thf(func_def_1505,type,
    semiri8420488043553186161ux_int: ( int > int ) > nat > int > int ).

thf(func_def_1506,type,
    semiri8422978514062236437ux_nat: ( nat > nat ) > nat > nat > nat ).

thf(func_def_1507,type,
    semiri7787848453975740701ux_rat: ( rat > rat ) > nat > rat > rat ).

thf(func_def_1508,type,
    size_s1564113455978345259t_unit: heap_T5738788834812785303t_unit > nat ).

thf(func_def_1509,type,
    size_size_list_int: list_int > nat ).

thf(func_def_1510,type,
    size_size_list_nat: list_nat > nat ).

thf(func_def_1511,type,
    size_size_num: num > nat ).

thf(func_def_1512,type,
    size_size_option_num: option_num > nat ).

thf(func_def_1513,type,
    size_s6797157356856800118it_nat: option3216581401566546698it_nat > nat ).

thf(func_def_1514,type,
    size_s8766407808098229740it_nat: option8956607266484857688it_nat > nat ).

thf(func_def_1515,type,
    nat_list_decode: nat > list_nat ).

thf(func_def_1516,type,
    nat_list_decode_rel: nat > nat > $o ).

thf(func_def_1517,type,
    nat_list_encode: list_nat > nat ).

thf(func_def_1518,type,
    nat_list_encode_rel: list_nat > list_nat > $o ).

thf(func_def_1519,type,
    nat_prod_decode: nat > product_prod_nat_nat ).

thf(func_def_1520,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(func_def_1521,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_1522,type,
    nat_prod_encode: product_prod_nat_nat > nat ).

thf(func_def_1523,type,
    nat_set_decode: nat > set_nat ).

thf(func_def_1524,type,
    nat_set_encode: set_nat > nat ).

thf(func_def_1525,type,
    nat_sum_decode: nat > sum_sum_nat_nat ).

thf(func_def_1526,type,
    nat_triangle: nat > nat ).

thf(func_def_1527,type,
    bitM: num > num ).

thf(func_def_1528,type,
    inc: num > num ).

thf(func_def_1529,type,
    nat_of_num: num > nat ).

thf(func_def_1530,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

thf(func_def_1531,type,
    neg_numeral_dbl_int: int > int ).

thf(func_def_1532,type,
    neg_numeral_dbl_rat: rat > rat ).

thf(func_def_1533,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

thf(func_def_1534,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(func_def_1535,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

thf(func_def_1536,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

thf(func_def_1537,type,
    neg_nu5851722552734809277nc_int: int > int ).

thf(func_def_1538,type,
    neg_nu5219082963157363817nc_rat: rat > rat ).

thf(func_def_1539,type,
    neg_nu2435721316971906650nteger: code_integer > $o ).

thf(func_def_1540,type,
    neg_nu7441568979088483369um_int: int > $o ).

thf(func_def_1541,type,
    neg_nu6808929389511037909um_rat: rat > $o ).

thf(func_def_1542,type,
    neg_nu5755505904847501662nteger: num > num > code_integer ).

thf(func_def_1543,type,
    neg_numeral_sub_int: num > num > int ).

thf(func_def_1544,type,
    neg_numeral_sub_rat: num > num > rat ).

thf(func_def_1545,type,
    bit0: num > num ).

thf(func_def_1546,type,
    bit1: num > num ).

thf(func_def_1547,type,
    one: num ).

thf(func_def_1548,type,
    case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).

thf(func_def_1549,type,
    size_num: num > nat ).

thf(func_def_1550,type,
    num_of_nat: nat > num ).

thf(func_def_1551,type,
    numera6620942414471956472nteger: num > code_integer ).

thf(func_def_1552,type,
    numera5444537566228673987atural: num > code_natural ).

thf(func_def_1553,type,
    numeral_numeral_int: num > int ).

thf(func_def_1554,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_1555,type,
    numeral_numeral_rat: num > rat ).

thf(func_def_1556,type,
    pred_numeral: num > nat ).

thf(func_def_1557,type,
    ring_16219924574208605041nteger: code_integer > $o ).

thf(func_def_1558,type,
    ring_1_iszero_int: int > $o ).

thf(func_def_1559,type,
    ring_1_iszero_rat: rat > $o ).

thf(func_def_1560,type,
    sqr: num > num ).

thf(func_def_1561,type,
    bind_num_num: option_num > ( num > option_num ) > option_num ).

thf(func_def_1562,type,
    bind_n6186876254402743274it_nat: option_num > ( num > option3216581401566546698it_nat ) > option3216581401566546698it_nat ).

thf(func_def_1563,type,
    bind_n550516262659884002it_nat: option_num > ( num > option8956607266484857688it_nat ) > option8956607266484857688it_nat ).

thf(func_def_1564,type,
    bind_P7816469540982926368at_num: option3216581401566546698it_nat > ( produc6714399278180371524it_nat > option_num ) > option_num ).

thf(func_def_1565,type,
    bind_P1787608729393679550it_nat: option3216581401566546698it_nat > ( produc6714399278180371524it_nat > option3216581401566546698it_nat ) > option3216581401566546698it_nat ).

thf(func_def_1566,type,
    bind_P3087804342168909838it_nat: option3216581401566546698it_nat > ( produc6714399278180371524it_nat > option8956607266484857688it_nat ) > option8956607266484857688it_nat ).

thf(func_def_1567,type,
    bind_P4387644102537648098at_num: option8956607266484857688it_nat > ( produc8664842809031399944it_nat > option_num ) > option_num ).

thf(func_def_1568,type,
    bind_P1106314856888375420it_nat: option8956607266484857688it_nat > ( produc8664842809031399944it_nat > option3216581401566546698it_nat ) > option3216581401566546698it_nat ).

thf(func_def_1569,type,
    bind_P7351952464966851536it_nat: option8956607266484857688it_nat > ( produc8664842809031399944it_nat > option8956607266484857688it_nat ) > option8956607266484857688it_nat ).

thf(func_def_1570,type,
    combine_options_num: ( num > num > num ) > option_num > option_num > option_num ).

thf(func_def_1571,type,
    combin3867838909898076099it_nat: ( produc6714399278180371524it_nat > produc6714399278180371524it_nat > produc6714399278180371524it_nat ) > option3216581401566546698it_nat > option3216581401566546698it_nat > option3216581401566546698it_nat ).

thf(func_def_1572,type,
    combin4318129983670048329it_nat: ( produc8664842809031399944it_nat > produc8664842809031399944it_nat > produc8664842809031399944it_nat ) > option8956607266484857688it_nat > option8956607266484857688it_nat > option8956607266484857688it_nat ).

thf(func_def_1573,type,
    none_o: option_o ).

thf(func_def_1574,type,
    none_int: option_int ).

thf(func_def_1575,type,
    none_nat: option_nat ).

thf(func_def_1576,type,
    none_num: option_num ).

thf(func_def_1577,type,
    none_P3773570700014501484nt_int: option4256020574406277085nt_int ).

thf(func_def_1578,type,
    none_P4442379456014020469nteger: option8051342751916580710nteger ).

thf(func_def_1579,type,
    none_P199884684680593241et_nat: option2860828798490689354et_nat ).

thf(func_def_1580,type,
    none_P4972525538344268765et_nat: option5190343406534369742et_nat ).

thf(func_def_1581,type,
    none_P1286213070022356066nt_int: option7541221861074943443nt_int ).

thf(func_def_1582,type,
    none_P2587165478634041381it_nat: option3216581401566546698it_nat ).

thf(func_def_1583,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

thf(func_def_1584,type,
    none_P9117596204409417319it_nat: option8956607266484857688it_nat ).

thf(func_def_1585,type,
    none_P5811896708078067656at_nat: option8699557107911914541at_nat ).

thf(func_def_1586,type,
    none_Product_unit: option_Product_unit ).

thf(func_def_1587,type,
    none_set_o: option_set_o ).

thf(func_def_1588,type,
    none_set_int: option_set_int ).

thf(func_def_1589,type,
    none_set_nat: option_set_nat ).

thf(func_def_1590,type,
    none_s625347054029921090at_nat: option8963830502488799655at_nat ).

thf(func_def_1591,type,
    none_s6518873173954064040at_nat: option1583680563626158861at_nat ).

thf(func_def_1592,type,
    some_nat_o: ( nat > $o ) > option_nat_o ).

thf(func_def_1593,type,
    some_o: $o > option_o ).

thf(func_def_1594,type,
    some_assn: assn > option_assn ).

thf(func_def_1595,type,
    some_Code_integer: code_integer > option_Code_integer ).

thf(func_def_1596,type,
    some_int: int > option_int ).

thf(func_def_1597,type,
    some_nat: nat > option_nat ).

thf(func_def_1598,type,
    some_num: num > option_num ).

thf(func_def_1599,type,
    some_P7455497367792166888nt_int: produc7773217078559923341nt_int > option4256020574406277085nt_int ).

thf(func_def_1600,type,
    some_P1462369734362851057nteger: produc1908205239877642774nteger > option8051342751916580710nteger ).

thf(func_def_1601,type,
    some_P1630309045189364437et_nat: produc2732055786443039994et_nat > option2860828798490689354et_nat ).

thf(func_def_1602,type,
    some_P750831030444334937et_nat: produc3925858234332021118et_nat > option5190343406534369742et_nat ).

thf(func_def_1603,type,
    some_P2355398578364412894nt_int: produc2285326912895808259nt_int > option7541221861074943443nt_int ).

thf(func_def_1604,type,
    some_P6772290148444788224nteger: produc8923325533196201883nteger > option2651255830984564193nteger ).

thf(func_def_1605,type,
    some_P5671840033927537686atural: produc7822875418678951345atural > option5403585828896915703atural ).

thf(func_def_1606,type,
    some_P6105628898608307625it_nat: produc6714399278180371524it_nat > option3216581401566546698it_nat ).

thf(func_def_1607,type,
    some_P624177172695371229et_nat: produc3658429121746597890et_nat > option936205604648967762et_nat ).

thf(func_def_1608,type,
    some_P4184893108420464158nt_int: product_prod_int_int > option4624381673175914239nt_int ).

thf(func_def_1609,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

thf(func_def_1610,type,
    some_P1914260805536162275it_nat: produc8664842809031399944it_nat > option8956607266484857688it_nat ).

thf(func_def_1611,type,
    some_P131194445498448716at_nat: produc3843707927480180839at_nat > option8699557107911914541at_nat ).

thf(func_def_1612,type,
    some_Product_unit: product_unit > option_Product_unit ).

thf(func_def_1613,type,
    some_rat: rat > option_rat ).

thf(func_def_1614,type,
    some_set_o: set_o > option_set_o ).

thf(func_def_1615,type,
    some_set_int: set_int > option_set_int ).

thf(func_def_1616,type,
    some_set_nat: set_nat > option_set_nat ).

thf(func_def_1617,type,
    some_s147305329494351046at_nat: set_Pr1261947904930325089at_nat > option8963830502488799655at_nat ).

thf(func_def_1618,type,
    some_s5890477192898017836at_nat: set_Pr4329608150637261639at_nat > option1583680563626158861at_nat ).

thf(func_def_1619,type,
    some_s8043159101241848530t_unit: set_Product_unit > option8137458692691377843t_unit ).

thf(func_def_1620,type,
    case_o1441893360019914891nteger: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > option8057788054806935849nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_1621,type,
    case_o7134296353695833103nteger: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > option_Code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_1622,type,
    case_o43118980978444458nteger: $o > ( code_integer > $o ) > option_Code_integer > $o ).

thf(func_def_1623,type,
    case_option_o_int: $o > ( int > $o ) > option_int > $o ).

thf(func_def_1624,type,
    case_option_o_nat: $o > ( nat > $o ) > option_nat > $o ).

thf(func_def_1625,type,
    case_option_o_num: $o > ( num > $o ) > option_num > $o ).

thf(func_def_1626,type,
    case_o2169478532838437047it_nat: $o > ( produc6714399278180371524it_nat > $o ) > option3216581401566546698it_nat > $o ).

thf(func_def_1627,type,
    case_o2686588417244861013it_nat: $o > ( produc8664842809031399944it_nat > $o ) > option8956607266484857688it_nat > $o ).

thf(func_def_1628,type,
    case_option_o_rat: $o > ( rat > $o ) > option_rat > $o ).

thf(func_def_1629,type,
    case_o4401850862724306899et_nat: $o > ( set_nat > $o ) > option_set_nat > $o ).

thf(func_def_1630,type,
    case_o9049918639272118855nteger: code_integer > ( code_integer > code_integer ) > option_Code_integer > code_integer ).

thf(func_def_1631,type,
    case_o356765784539232260er_num: code_integer > ( num > code_integer ) > option_num > code_integer ).

thf(func_def_1632,type,
    case_o5621594795226839503al_num: code_natural > ( num > code_natural ) > option_num > code_natural ).

thf(func_def_1633,type,
    case_o8314599424437789472it_nat: array_a > ( produc6714399278180371524it_nat > array_a ) > option3216581401566546698it_nat > array_a ).

thf(func_def_1634,type,
    case_o8180226181140434498it_nat: heap_e7401611519738050253t_unit > ( produc6714399278180371524it_nat > heap_e7401611519738050253t_unit ) > option3216581401566546698it_nat > heap_e7401611519738050253t_unit ).

thf(func_def_1635,type,
    case_o2566993838309857162it_nat: heap_e7401611519738050253t_unit > ( produc8664842809031399944it_nat > heap_e7401611519738050253t_unit ) > option8956607266484857688it_nat > heap_e7401611519738050253t_unit ).

thf(func_def_1636,type,
    case_option_int_num: int > ( num > int ) > option_num > int ).

thf(func_def_1637,type,
    case_option_nat_num: nat > ( num > nat ) > option_num > nat ).

thf(func_def_1638,type,
    case_o1134687144775446439it_nat: nat > ( produc6714399278180371524it_nat > nat ) > option3216581401566546698it_nat > nat ).

thf(func_def_1639,type,
    case_o5424514124273913701it_nat: nat > ( produc8664842809031399944it_nat > nat ) > option8956607266484857688it_nat > nat ).

thf(func_def_1640,type,
    case_option_num_int: num > ( int > num ) > option_int > num ).

thf(func_def_1641,type,
    case_option_num_nat: num > ( nat > num ) > option_nat > num ).

thf(func_def_1642,type,
    case_option_num_num: num > ( num > num ) > option_num > num ).

thf(func_def_1643,type,
    case_o4484465799723439917n_assn: option_assn > ( assn > option_assn ) > option_assn > option_assn ).

thf(func_def_1644,type,
    case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).

thf(func_def_1645,type,
    case_o8555119740594961093it_nat: option3216581401566546698it_nat > ( produc6714399278180371524it_nat > option3216581401566546698it_nat ) > option3216581401566546698it_nat > option3216581401566546698it_nat ).

thf(func_def_1646,type,
    case_o5699750240967658439it_nat: option3216581401566546698it_nat > ( produc8664842809031399944it_nat > option3216581401566546698it_nat ) > option8956607266484857688it_nat > option3216581401566546698it_nat ).

thf(func_def_1647,type,
    case_o3886096569520666655it_nat: option8956607266484857688it_nat > ( produc6714399278180371524it_nat > option8956607266484857688it_nat ) > option3216581401566546698it_nat > option8956607266484857688it_nat ).

thf(func_def_1648,type,
    case_o2963978774867076333it_nat: option8956607266484857688it_nat > ( produc8664842809031399944it_nat > option8956607266484857688it_nat ) > option8956607266484857688it_nat > option8956607266484857688it_nat ).

thf(func_def_1649,type,
    case_o2985186191577459077t_unit: option_Product_unit > ( product_unit > option_Product_unit ) > option_Product_unit > option_Product_unit ).

thf(func_def_1650,type,
    case_o4054078431260844265et_nat: option_set_nat > ( set_nat > option_set_nat ) > option_set_nat > option_set_nat ).

thf(func_def_1651,type,
    case_o9080059180780454917at_nat: option1583680563626158861at_nat > ( set_Pr4329608150637261639at_nat > option1583680563626158861at_nat ) > option1583680563626158861at_nat > option1583680563626158861at_nat ).

thf(func_def_1652,type,
    case_o9196786658626276042it_nat: product_unit > ( produc8664842809031399944it_nat > product_unit ) > option8956607266484857688it_nat > product_unit ).

thf(func_def_1653,type,
    map_op3563471509957180299nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > option8057788054806935849nteger > option7428179582072448501nteger ).

thf(func_def_1654,type,
    map_op6424164270877473355_nat_o: ( ( nat > $o ) > nat > $o ) > option_nat_o > option_nat_o ).

thf(func_def_1655,type,
    map_option_o_o: ( $o > $o ) > option_o > option_o ).

thf(func_def_1656,type,
    map_op370346339404370627nteger: ( code_integer > code_integer > code_integer ) > option_Code_integer > option8057788054806935849nteger ).

thf(func_def_1657,type,
    map_op9146685272036663823nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > option_Code_integer > option7428179582072448501nteger ).

thf(func_def_1658,type,
    map_op3669829223712506439nteger: ( code_integer > code_integer ) > option_Code_integer > option_Code_integer ).

thf(func_def_1659,type,
    map_option_int_int: ( int > int ) > option_int > option_int ).

thf(func_def_1660,type,
    map_option_int_nat: ( int > nat ) > option_int > option_nat ).

thf(func_def_1661,type,
    map_option_int_num: ( int > num ) > option_int > option_num ).

thf(func_def_1662,type,
    map_option_nat_nat: ( nat > nat ) > option_nat > option_nat ).

thf(func_def_1663,type,
    map_option_nat_num: ( nat > num ) > option_nat > option_num ).

thf(func_def_1664,type,
    map_op2849635639313731588nteger: ( num > code_integer ) > option_num > option_Code_integer ).

thf(func_def_1665,type,
    map_option_num_num: ( num > num ) > option_num > option_num ).

thf(func_def_1666,type,
    map_op6598675229099881181it_nat: ( num > produc6714399278180371524it_nat ) > option_num > option3216581401566546698it_nat ).

thf(func_def_1667,type,
    map_op8118133509425879471it_nat: ( num > produc8664842809031399944it_nat ) > option_num > option8956607266484857688it_nat ).

thf(func_def_1668,type,
    map_op8228268515680064275at_num: ( produc6714399278180371524it_nat > num ) > option3216581401566546698it_nat > option_num ).

thf(func_def_1669,type,
    map_op6002829699023054091it_nat: ( produc6714399278180371524it_nat > produc6714399278180371524it_nat ) > option3216581401566546698it_nat > option3216581401566546698it_nat ).

thf(func_def_1670,type,
    map_op674526153330701057it_nat: ( produc6714399278180371524it_nat > produc8664842809031399944it_nat ) > option3216581401566546698it_nat > option8956607266484857688it_nat ).

thf(func_def_1671,type,
    map_op2731889312448867759at_num: ( produc8664842809031399944it_nat > num ) > option8956607266484857688it_nat > option_num ).

thf(func_def_1672,type,
    map_op7916408704904942447it_nat: ( produc8664842809031399944it_nat > produc6714399278180371524it_nat ) > option8956607266484857688it_nat > option3216581401566546698it_nat ).

thf(func_def_1673,type,
    map_op8673683442680995229it_nat: ( produc8664842809031399944it_nat > produc8664842809031399944it_nat ) > option8956607266484857688it_nat > option8956607266484857688it_nat ).

thf(func_def_1674,type,
    size_option_num: ( num > nat ) > option_num > nat ).

thf(func_def_1675,type,
    size_o5312321843473198183it_nat: ( produc6714399278180371524it_nat > nat ) > option3216581401566546698it_nat > nat ).

thf(func_def_1676,type,
    size_o29782932136985253it_nat: ( produc8664842809031399944it_nat > nat ) > option8956607266484857688it_nat > nat ).

thf(func_def_1677,type,
    the_nat_o: option_nat_o > nat > $o ).

thf(func_def_1678,type,
    the_o: option_o > $o ).

thf(func_def_1679,type,
    the_int2: option_int > int ).

thf(func_def_1680,type,
    the_nat: option_nat > nat ).

thf(func_def_1681,type,
    the_num: option_num > num ).

thf(func_def_1682,type,
    the_Pr5856008525237892824it_nat: option3216581401566546698it_nat > produc6714399278180371524it_nat ).

thf(func_def_1683,type,
    the_Pr7776125533777466484it_nat: option8956607266484857688it_nat > produc8664842809031399944it_nat ).

thf(func_def_1684,type,
    these_o: set_option_o > set_o ).

thf(func_def_1685,type,
    these_int: set_option_int > set_int ).

thf(func_def_1686,type,
    these_nat: set_option_nat > set_nat ).

thf(func_def_1687,type,
    these_num: set_option_num > set_num ).

thf(func_def_1688,type,
    these_6645423997822192641it_nat: set_op3940070208846178154it_nat > set_Pr5142436192348053284it_nat ).

thf(func_def_1689,type,
    these_8061402112538453438at_nat: set_op4508134149509766951at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1690,type,
    these_3407724651694999947it_nat: set_op239864471688321678it_nat > set_Pr1354866905816374718it_nat ).

thf(func_def_1691,type,
    these_1872268174106123684at_nat: set_op989438649584373901at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1692,type,
    these_Product_unit: set_op3165557761946182707t_unit > set_Product_unit ).

thf(func_def_1693,type,
    these_set_nat: set_option_set_nat > set_set_nat ).

thf(func_def_1694,type,
    bot_bo1403522918969695512_int_o: ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_1695,type,
    bot_bo3000040243691356879eger_o: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_1696,type,
    bot_bo3790638025767943357_nat_o: ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_1697,type,
    bot_bo5580076615179976505_nat_o: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1698,type,
    bot_bo8662317086119403298_int_o: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_1699,type,
    bot_bot_nat_nat_o: nat > nat > $o ).

thf(func_def_1700,type,
    bot_bo394778441745866138_nat_o: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1702,type,
    bot_bot_assn: assn ).

thf(func_def_1703,type,
    bot_bot_nat: nat ).

thf(func_def_1704,type,
    bot_bot_option_num: option_num ).

thf(func_def_1705,type,
    bot_bot_Product_unit: product_unit ).

thf(func_def_1706,type,
    bot_bot_set_o: set_o ).

thf(func_def_1707,type,
    bot_bo3990330152332043303nteger: set_Code_integer ).

thf(func_def_1708,type,
    bot_bot_set_int: set_int ).

thf(func_def_1709,type,
    bot_bot_set_list_nat: set_list_nat ).

thf(func_def_1710,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_1711,type,
    bot_bot_set_num: set_num ).

thf(func_def_1712,type,
    bot_bot_set_option_o: set_option_o ).

thf(func_def_1713,type,
    bot_bo2519760366563279686on_int: set_option_int ).

thf(func_def_1714,type,
    bot_bo5009843511495006442on_nat: set_option_nat ).

thf(func_def_1715,type,
    bot_bo725063100934353204on_num: set_option_num ).

thf(func_def_1716,type,
    bot_bo8185009268211221974it_nat: set_op3940070208846178154it_nat ).

thf(func_def_1717,type,
    bot_bo3414888551220300179at_nat: set_op4508134149509766951at_nat ).

thf(func_def_1718,type,
    bot_bo1172055076661450530it_nat: set_op239864471688321678it_nat ).

thf(func_def_1719,type,
    bot_bo1471150103859235065at_nat: set_op989438649584373901at_nat ).

thf(func_def_1720,type,
    bot_bo2792743115866486943t_unit: set_op3165557761946182707t_unit ).

thf(func_def_1721,type,
    bot_bo5650944848895983264et_nat: set_option_set_nat ).

thf(func_def_1722,type,
    bot_bo4508923176915781079nt_int: set_Pr1872883991513573699nt_int ).

thf(func_def_1723,type,
    bot_bo5443222936135328352nteger: set_Pr1281608226676607948nteger ).

thf(func_def_1724,type,
    bot_bo5635537948650799172et_nat: set_Pr8536935166611901872et_nat ).

thf(func_def_1725,type,
    bot_bo1481135142794719944et_nat: set_Pr3286484037609594932et_nat ).

thf(func_def_1726,type,
    bot_bo572930865798478029nt_int: set_Pr9222295170931077689nt_int ).

thf(func_def_1727,type,
    bot_bo7073875226086086771od_o_o: set_Product_prod_o_o ).

thf(func_def_1728,type,
    bot_bo6799815435448350781_o_int: set_Pr8834758594704517033_o_int ).

thf(func_def_1729,type,
    bot_bo66526543525301729_o_nat: set_Pr2101469702781467981_o_nat ).

thf(func_def_1730,type,
    bot_bo6361524548789211024it_nat: set_Pr5142436192348053284it_nat ).

thf(func_def_1731,type,
    bot_bo8092356734887935275_int_o: set_Pr903927857289325719_int_o ).

thf(func_def_1732,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

thf(func_def_1733,type,
    bot_bo4286715327455315753nt_nat: set_Pr3448869479623346877nt_nat ).

thf(func_def_1734,type,
    bot_bo1114129665703605383_nat_o: set_Pr3149072824959771635_nat_o ).

thf(func_def_1735,type,
    bot_bo8833082644685343017at_int: set_Pr7995236796853374141at_int ).

thf(func_def_1736,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_1737,type,
    bot_bo5454027612061941066_nat_o: set_Pr6558897299634722526_nat_o ).

thf(func_def_1738,type,
    bot_bo5327735625951526323at_nat: set_Pr8693737435421807431at_nat ).

thf(func_def_1739,type,
    bot_bo7193250159860175667at_nat: set_Pr5564308138774400199at_nat ).

thf(func_def_1740,type,
    bot_bo5696401558416705618it_nat: set_Pr1354866905816374718it_nat ).

thf(func_def_1741,type,
    bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).

thf(func_def_1742,type,
    bot_bo3957492148770167129t_unit: set_Product_unit ).

thf(func_def_1743,type,
    bot_bot_set_rat: set_rat ).

thf(func_def_1744,type,
    bot_bo9204850693367297629nteger: set_set_Code_integer ).

thf(func_def_1745,type,
    bot_bot_set_set_int: set_set_int ).

thf(func_def_1746,type,
    bot_bo3886227569956363488st_nat: set_set_list_nat ).

thf(func_def_1747,type,
    bot_bot_set_set_nat: set_set_nat ).

thf(func_def_1748,type,
    bot_bo3083307316010499117at_nat: set_se7855581050983116737at_nat ).

thf(func_def_1749,type,
    bot_bo6284674557190688313t_unit: set_set_Product_unit ).

thf(func_def_1750,type,
    ord_less_o: $o > $o > $o ).

thf(func_def_1751,type,
    ord_le6747313008572928689nteger: code_integer > code_integer > $o ).

thf(func_def_1752,type,
    ord_le5570908160329646204atural: code_natural > code_natural > $o ).

thf(func_def_1753,type,
    ord_less_int: int > int > $o ).

thf(func_def_1754,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_1755,type,
    ord_less_num: num > num > $o ).

thf(func_def_1756,type,
    ord_le7113747843092208513nteger: option_Code_integer > option_Code_integer > $o ).

thf(func_def_1757,type,
    ord_less_option_int: option_int > option_int > $o ).

thf(func_def_1758,type,
    ord_less_option_nat: option_nat > option_nat > $o ).

thf(func_def_1759,type,
    ord_less_option_num: option_num > option_num > $o ).

thf(func_def_1760,type,
    ord_less_option_rat: option_rat > option_rat > $o ).

thf(func_def_1761,type,
    ord_le361264281704409273t_unit: product_unit > product_unit > $o ).

thf(func_def_1762,type,
    ord_less_rat: rat > rat > $o ).

thf(func_def_1763,type,
    ord_less_set_o: set_o > set_o > $o ).

thf(func_def_1764,type,
    ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_1765,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(func_def_1766,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_1767,type,
    ord_less_set_num: set_num > set_num > $o ).

thf(func_def_1768,type,
    ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1769,type,
    ord_le2604355607129572851at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_1770,type,
    ord_le8056459307392131481t_unit: set_Product_unit > set_Product_unit > $o ).

thf(func_def_1771,type,
    ord_less_set_rat: set_rat > set_rat > $o ).

thf(func_def_1772,type,
    ord_less_set_set_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_1773,type,
    ord_le2124322318746777828_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > $o ).

thf(func_def_1774,type,
    ord_le4340812435750786203eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > $o ).

thf(func_def_1775,type,
    ord_le6753239538765779593_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > $o ).

thf(func_def_1776,type,
    ord_le8000401564054156549_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_1777,type,
    ord_le5643404153117327598_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > $o ).

thf(func_def_1778,type,
    ord_le6558929396352911974_nat_o: ( list_nat > list_nat > $o ) > ( list_nat > list_nat > $o ) > $o ).

thf(func_def_1779,type,
    ord_le1520216061033275535_nat_o: ( list_nat > $o ) > ( list_nat > $o ) > $o ).

thf(func_def_1780,type,
    ord_le2646555220125990790_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_1781,type,
    ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_1782,type,
    ord_le7226304311989208114_nat_o: ( produc2732055786443039994et_nat > produc2732055786443039994et_nat > $o ) > ( produc2732055786443039994et_nat > produc2732055786443039994et_nat > $o ) > $o ).

thf(func_def_1783,type,
    ord_le1658592502415435381_nat_o: ( produc2732055786443039994et_nat > $o ) > ( produc2732055786443039994et_nat > $o ) > $o ).

thf(func_def_1784,type,
    ord_le1598226405681992910_int_o: ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int > $o ) > $o ).

thf(func_def_1785,type,
    ord_le8369615600986905444_int_o: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(func_def_1786,type,
    ord_le5604493270027003598_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).

thf(func_def_1787,type,
    ord_le704812498762024988_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(func_def_1788,type,
    ord_le3935385432712749774_nat_o: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > $o ).

thf(func_def_1789,type,
    ord_less_eq_o: $o > $o > $o ).

thf(func_def_1790,type,
    ord_le3102999989581377725nteger: code_integer > code_integer > $o ).

thf(func_def_1791,type,
    ord_le1926595141338095240atural: code_natural > code_natural > $o ).

thf(func_def_1792,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_1793,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_1794,type,
    ord_less_eq_num: num > num > $o ).

thf(func_def_1795,type,
    ord_le1736525451366464988on_int: option_int > option_int > $o ).

thf(func_def_1796,type,
    ord_le5914376470875661696on_nat: option_nat > option_nat > $o ).

thf(func_def_1797,type,
    ord_le6622620407824499402on_num: option_num > option_num > $o ).

thf(func_def_1798,type,
    ord_le2406147912482264968on_rat: option_rat > option_rat > $o ).

thf(func_def_1799,type,
    ord_le2843612097646854710et_nat: option_set_nat > option_set_nat > $o ).

thf(func_def_1800,type,
    ord_le3221252021190050221t_unit: product_unit > product_unit > $o ).

thf(func_def_1801,type,
    ord_less_eq_rat: rat > rat > $o ).

thf(func_def_1802,type,
    ord_le567748327753481079e_term: set_in3461395444621081367e_term > set_in3461395444621081367e_term > $o ).

thf(func_def_1803,type,
    ord_le7106919388332126736e_term: set_Pr7604974323444597168e_term > set_Pr7604974323444597168e_term > $o ).

thf(func_def_1804,type,
    ord_le2965882846123202637_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_1805,type,
    ord_le4129093240937979009e_term: set_Pr3642885161833720865e_term > set_Pr3642885161833720865e_term > $o ).

thf(func_def_1806,type,
    ord_less_eq_set_o: set_o > set_o > $o ).

thf(func_def_1807,type,
    ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_1808,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(func_def_1809,type,
    ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o ).

thf(func_def_1810,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_1811,type,
    ord_less_eq_set_num: set_num > set_num > $o ).

thf(func_def_1812,type,
    ord_le135402666524580259nt_int: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > $o ).

thf(func_def_1813,type,
    ord_le3745675095661657703_nat_o: set_Pr7909803484932130503_nat_o > set_Pr7909803484932130503_nat_o > $o ).

thf(func_def_1814,type,
    ord_le653643898420964396nteger: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > $o ).

thf(func_def_1815,type,
    ord_le4763372923235995152et_nat: set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat > $o ).

thf(func_def_1816,type,
    ord_le5966269811547037844et_nat: set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat > $o ).

thf(func_def_1817,type,
    ord_le8725513860283290265nt_int: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > $o ).

thf(func_def_1818,type,
    ord_le192195778054999463od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > $o ).

thf(func_def_1819,type,
    ord_le3982295392052344841_o_int: set_Pr8834758594704517033_o_int > set_Pr8834758594704517033_o_int > $o ).

thf(func_def_1820,type,
    ord_le6472378536984071597_o_nat: set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat > $o ).

thf(func_def_1821,type,
    ord_le3725938330318615451nteger: set_Pr4811707699266497531nteger > set_Pr4811707699266497531nteger > $o ).

thf(func_def_1822,type,
    ord_le719211969347571306er_int: set_Pr6496905503482889930er_int > set_Pr6496905503482889930er_int > $o ).

thf(func_def_1823,type,
    ord_le3209295114279298062er_nat: set_Pr8986988648414616686er_nat > set_Pr8986988648414616686er_nat > $o ).

thf(func_def_1824,type,
    ord_le6478268328230966961atural: set_Pr7564037697178849041atural > set_Pr7564037697178849041atural > $o ).

thf(func_def_1825,type,
    ord_le2202040463148982292atural: set_Pr2352657477744078772atural > set_Pr2352657477744078772atural > $o ).

thf(func_def_1826,type,
    ord_le8090042543978450200et_nat: set_Pr3948176798113811640et_nat > set_Pr3948176798113811640et_nat > $o ).

thf(func_def_1827,type,
    ord_le5274836691491929335_int_o: set_Pr903927857289325719_int_o > set_Pr903927857289325719_int_o > $o ).

thf(func_def_1828,type,
    ord_le2638047946463454698nteger: set_Pr8415741480598773322nteger > set_Pr8415741480598773322nteger > $o ).

thf(func_def_1829,type,
    ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_1830,type,
    ord_le5333435103577920093nt_nat: set_Pr3448869479623346877nt_nat > set_Pr3448869479623346877nt_nat > $o ).

thf(func_def_1831,type,
    ord_le7519981659162375251_nat_o: set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o > $o ).

thf(func_def_1832,type,
    ord_le5852610332322655630nteger: set_Pr2406931829603198446nteger > set_Pr2406931829603198446nteger > $o ).

thf(func_def_1833,type,
    ord_le656430383953171549at_int: set_Pr7995236796853374141at_int > set_Pr7995236796853374141at_int > $o ).

thf(func_def_1834,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1835,type,
    ord_le3050193496395145148at_nat: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > $o ).

thf(func_def_1836,type,
    ord_le3218026494883419554at_nat: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > $o ).

thf(func_def_1837,type,
    ord_le5919393503700438654_nat_o: set_Pr6558897299634722526_nat_o > set_Pr6558897299634722526_nat_o > $o ).

thf(func_def_1838,type,
    ord_le7094820750414311574at_nat: set_Pr2539167527615954998at_nat > set_Pr2539167527615954998at_nat > $o ).

thf(func_def_1839,type,
    ord_le2145644191787020796at_nat: set_Pr552903133987017116at_nat > set_Pr552903133987017116at_nat > $o ).

thf(func_def_1840,type,
    ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_1841,type,
    ord_le3507040750410214029t_unit: set_Product_unit > set_Product_unit > $o ).

thf(func_def_1842,type,
    ord_less_eq_set_rat: set_rat > set_rat > $o ).

thf(func_def_1843,type,
    ord_le1914454125413604393nteger: set_set_Code_integer > set_set_Code_integer > $o ).

thf(func_def_1844,type,
    ord_le4403425263959731960et_int: set_set_int > set_set_int > $o ).

thf(func_def_1845,type,
    ord_le1068707526560357548st_nat: set_set_list_nat > set_set_list_nat > $o ).

thf(func_def_1846,type,
    ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_1847,type,
    ord_le2077887516847798113at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o ).

thf(func_def_1848,type,
    ord_le3674001228145610605t_unit: set_set_Product_unit > set_set_Product_unit > $o ).

thf(func_def_1849,type,
    ord_max_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_1850,type,
    ord_max_Code_natural: code_natural > code_natural > code_natural ).

thf(func_def_1851,type,
    ord_max_int: int > int > int ).

thf(func_def_1852,type,
    ord_max_nat: nat > nat > nat ).

thf(func_def_1853,type,
    ord_max_rat: rat > rat > rat ).

thf(func_def_1854,type,
    ord_min_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_1855,type,
    ord_min_Code_natural: code_natural > code_natural > code_natural ).

thf(func_def_1856,type,
    ord_min_int: int > int > int ).

thf(func_def_1857,type,
    ord_min_nat: nat > nat > nat ).

thf(func_def_1858,type,
    ord_min_num: num > num > num ).

thf(func_def_1859,type,
    ord_min_rat: rat > rat > rat ).

thf(func_def_1860,type,
    ord_min_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_1861,type,
    top_to6513043852502318900_int_o: ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_1862,type,
    top_to8112647782992986859eger_o: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_1863,type,
    top_to7190503160269336793_nat_o: ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_1864,type,
    top_to2428096842796733269_nat_o: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1865,type,
    top_to6261655714344447806_int_o: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_1866,type,
    top_top_nat_nat_o: nat > nat > $o ).

thf(func_def_1867,type,
    top_to8903224817164384382_nat_o: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1868,type,
    top_top_assn: assn ).

thf(func_def_1869,type,
    top_top_option_assn: option_assn ).

thf(func_def_1870,type,
    top_to4322782652514146083t_unit: option_Product_unit ).

thf(func_def_1871,type,
    top_to2336371874512884450et_int: option_set_int ).

thf(func_def_1872,type,
    top_to4826455019444611206et_nat: option_set_nat ).

thf(func_def_1873,type,
    top_to7662761140297458691t_unit: option8137458692691377843t_unit ).

thf(func_def_1874,type,
    top_top_Product_unit: product_unit ).

thf(func_def_1875,type,
    top_to3804862627464599871nteger: set_Co726186806682698383nteger ).

thf(func_def_1876,type,
    top_top_set_nat_o: set_nat_o ).

thf(func_def_1877,type,
    top_top_set_o: set_o ).

thf(func_def_1878,type,
    top_top_set_assn: set_assn ).

thf(func_def_1879,type,
    top_to4645266643341252675nteger: set_Code_integer ).

thf(func_def_1880,type,
    top_top_set_int: set_int ).

thf(func_def_1881,type,
    top_top_set_nat: set_nat ).

thf(func_def_1882,type,
    top_top_set_num: set_num ).

thf(func_def_1883,type,
    top_to5929521628599800467nteger: set_op687863988967635939nteger ).

thf(func_def_1884,type,
    top_to6430115241214627170on_int: set_option_int ).

thf(func_def_1885,type,
    top_to8920198386146353926on_nat: set_option_nat ).

thf(func_def_1886,type,
    top_to4635417975585700688on_num: set_option_num ).

thf(func_def_1887,type,
    top_to7137183367772546234it_nat: set_op3940070208846178154it_nat ).

thf(func_def_1888,type,
    top_to3251141154256563319at_nat: set_op4508134149509766951at_nat ).

thf(func_def_1889,type,
    top_to6632602878615679294it_nat: set_op239864471688321678it_nat ).

thf(func_def_1890,type,
    top_to2690860209552263555t_unit: set_op3165557761946182707t_unit ).

thf(func_def_1891,type,
    top_to2069137843433766899nt_int: set_Pr1872883991513573699nt_int ).

thf(func_def_1892,type,
    top_to7512759353274530428nteger: set_Pr1281608226676607948nteger ).

thf(func_def_1893,type,
    top_to1599102959340997728et_nat: set_Pr8536935166611901872et_nat ).

thf(func_def_1894,type,
    top_to8753217654552796900et_nat: set_Pr3286484037609594932et_nat ).

thf(func_def_1895,type,
    top_to3181862456159035625nt_int: set_Pr9222295170931077689nt_int ).

thf(func_def_1896,type,
    top_to3995162779041354868it_nat: set_Pr5142436192348053284it_nat ).

thf(func_def_1897,type,
    top_to4366644338036079209nt_int: set_Pr958786334691620121nt_int ).

thf(func_def_1898,type,
    top_to6856727482967805965nt_nat: set_Pr3448869479623346877nt_nat ).

thf(func_def_1899,type,
    top_to876157113852465980t_unit: set_Pr5889264611543340172t_unit ).

thf(func_def_1900,type,
    top_to2179722763343057421at_int: set_Pr7995236796853374141at_int ).

thf(func_def_1901,type,
    top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_1902,type,
    top_to8544742955230171288t_unit: set_Pr4334478416066269672t_unit ).

thf(func_def_1903,type,
    top_to3484027333181043534it_int: set_Pr8497134830871917726it_int ).

thf(func_def_1904,type,
    top_to5974110478112770290it_nat: set_Pr1763845938948868674it_nat ).

thf(func_def_1905,type,
    top_to4082048134677576814it_nat: set_Pr1354866905816374718it_nat ).

thf(func_def_1906,type,
    top_to1835807148980544151t_unit: set_Pr5094982260447487303t_unit ).

thf(func_def_1907,type,
    top_to6833984726390702231at_nat: set_Pr4329608150637261639at_nat ).

thf(func_def_1908,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

thf(func_def_1909,type,
    top_top_set_rat: set_rat ).

thf(func_def_1910,type,
    top_top_set_set_o: set_set_o ).

thf(func_def_1911,type,
    top_top_set_set_int: set_set_int ).

thf(func_def_1912,type,
    top_top_set_set_nat: set_set_nat ).

thf(func_def_1913,type,
    top_to7629004291339433233at_nat: set_se7855581050983116737at_nat ).

thf(func_def_1914,type,
    top_to1754375979021635447at_nat: set_se5479201105039950375at_nat ).

thf(func_def_1915,type,
    top_to1767297665138865437t_unit: set_set_Product_unit ).

thf(func_def_1916,type,
    power_power_assn: assn > nat > assn ).

thf(func_def_1917,type,
    power_8256067586552552935nteger: code_integer > nat > code_integer ).

thf(func_def_1918,type,
    power_7079662738309270450atural: code_natural > nat > code_natural ).

thf(func_def_1919,type,
    power_power_int: int > nat > int ).

thf(func_def_1920,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_1921,type,
    power_power_rat: rat > nat > rat ).

thf(func_def_1922,type,
    produc6137756002093451184nteger: ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ).

thf(func_def_1923,type,
    produc2252593628808123835atural: ( code_natural > option6357759511663192854e_term ) > produc7822875418678951345atural > produc8731074985263844745atural ).

thf(func_def_1924,type,
    produc4510790414113558107e_term: ( int > option6357759511663192854e_term ) > ( int > option6357759511663192854e_term ) > produc1945540942535730339e_term ).

thf(func_def_1925,type,
    produc4305682042979456191nt_int: ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ).

thf(func_def_1926,type,
    produc3209952032786966637at_nat: ( nat > nat > nat ) > produc7248412053542808358at_nat > produc4471711990508489141at_nat ).

thf(func_def_1927,type,
    produc5701653931590357335_nat_o: ( nat > $o ) > ( nat > $o ) > produc7360885484439884007_nat_o ).

thf(func_def_1928,type,
    produc6915061378690470669e_term: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8187290932660736981e_term ).

thf(func_def_1929,type,
    produc8603105652947943368nteger: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ).

thf(func_def_1930,type,
    produc3831813291587773865atural: ( produc4972180933644002618e_term > option6357759511663192854e_term ) > produc7822875418678951345atural > produc989692990947075319atural ).

thf(func_def_1931,type,
    produc7368190662567826135_nat_o: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc4928098042776334183_nat_o ).

thf(func_def_1932,type,
    produc2245416461498447860et_nat: ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > produc2732055786443039994et_nat ).

thf(func_def_1933,type,
    produc5001842942810119800et_nat: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > produc3925858234332021118et_nat ).

thf(func_def_1934,type,
    produc8124735558134971759e_term: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > produc4499399687821757879e_term ).

thf(func_def_1935,type,
    produc5700946648718959541nt_int: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ).

thf(func_def_1936,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(func_def_1937,type,
    product_Pair_o_int: $o > int > product_prod_o_int ).

thf(func_def_1938,type,
    product_Pair_o_nat: $o > nat > product_prod_o_nat ).

thf(func_def_1939,type,
    produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).

thf(func_def_1940,type,
    produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_1941,type,
    produc8805100893531834658er_int: code_integer > int > produc2256096406371053034er_int ).

thf(func_def_1942,type,
    produc8807591364040884934er_nat: code_integer > nat > produc6433947425880249742er_nat ).

thf(func_def_1943,type,
    produc3574140220909816553atural: code_natural > code_natural > produc7822875418678951345atural ).

thf(func_def_1944,type,
    produc6639722614265839536atural: code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_1945,type,
    produc1733996804261680252it_nat: array_a > produc6653097349344004940it_nat > produc6714399278180371524it_nat ).

thf(func_def_1946,type,
    produc584006145561248582it_nat: heap_e7401611519738050253t_unit > nat > produc6653097349344004940it_nat ).

thf(func_def_1947,type,
    produc7507926704131184380et_nat: heap_e7401611519738050253t_unit > set_nat > produc3658429121746597890et_nat ).

thf(func_def_1948,type,
    product_Pair_int_o: int > $o > product_prod_int_o ).

thf(func_def_1949,type,
    produc220428336201996578nteger: int > code_integer > produc2963269191615333738nteger ).

thf(func_def_1950,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(func_def_1951,type,
    product_Pair_int_nat: int > nat > product_prod_int_nat ).

thf(func_def_1952,type,
    produc4348348721325984599at_nat: multis2468970476368604999at_nat > multis2468970476368604999at_nat > produc4166570645942440679at_nat ).

thf(func_def_1953,type,
    product_Pair_nat_o: nat > $o > product_prod_nat_o ).

thf(func_def_1954,type,
    produc9072146812819927750nteger: nat > code_integer > produc2591615631378489102nteger ).

thf(func_def_1955,type,
    product_Pair_nat_int: nat > int > product_prod_nat_int ).

thf(func_def_1956,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_1957,type,
    product_Pair_nat_num: nat > num > product_prod_nat_num ).

thf(func_def_1958,type,
    produc3378006678175723489it_nat: nat > option3216581401566546698it_nat > produc2867611627572283311it_nat ).

thf(func_def_1959,type,
    produc638857205735767105it_nat: nat > option8956607266484857688it_nat > produc3911288613690379145it_nat ).

thf(func_def_1960,type,
    produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat ).

thf(func_def_1961,type,
    produc5463602008962177208at_nat: nat > set_Pr1261947904930325089at_nat > produc3313772616054891654at_nat ).

thf(func_def_1962,type,
    product_Pair_num_num: num > num > product_prod_num_num ).

thf(func_def_1963,type,
    produc5950683997804057413e_term: option6357759511663192854e_term > option6357759511663192854e_term > produc6576344331059438605e_term ).

thf(func_def_1964,type,
    produc8406175334058502835nt_int: produc7773217078559923341nt_int > produc7773217078559923341nt_int > produc2501202720802129403nt_int ).

thf(func_def_1965,type,
    produc7954516348491987909nteger: produc1908205239877642774nteger > produc1908205239877642774nteger > produc824974754969098637nteger ).

thf(func_def_1966,type,
    produc1940133919992309389et_nat: produc2732055786443039994et_nat > produc2732055786443039994et_nat > produc5657529347773406293et_nat ).

thf(func_def_1967,type,
    produc8599840265553166229et_nat: produc3925858234332021118et_nat > produc3925858234332021118et_nat > produc6830853553727218525et_nat ).

thf(func_def_1968,type,
    produc7601053194514725023nt_int: produc2285326912895808259nt_int > produc2285326912895808259nt_int > produc2432570611225516007nt_int ).

thf(func_def_1969,type,
    produc4911887526399440471nteger: produc8923325533196201883nteger > produc8923325533196201883nteger > produc3334582477557816039nteger ).

thf(func_def_1970,type,
    produc1272419604612767874atural: produc7822875418678951345atural > code_natural > produc3981471736659609608atural ).

thf(func_def_1971,type,
    produc4480994950612372183atural: produc7822875418678951345atural > produc7822875418678951345atural > produc6756470014200349799atural ).

thf(func_def_1972,type,
    produc8199053930788261021et_nat: produc3658429121746597890et_nat > produc3658429121746597890et_nat > produc8111630337999740517et_nat ).

thf(func_def_1973,type,
    produc3646306378393792727nt_int: product_prod_int_int > product_prod_int_int > produc1219242969750017639nt_int ).

thf(func_def_1974,type,
    produc855456346497908590_nat_o: product_prod_nat_nat > $o > produc652263959640188542_nat_o ).

thf(func_def_1975,type,
    produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).

thf(func_def_1976,type,
    produc8824474337961625893at_nat: produc3313772616054891654at_nat > produc3313772616054891654at_nat > produc2714363965264676845at_nat ).

thf(func_def_1977,type,
    produc3585720979125124569at_nat: produc366245978424229472at_nat > produc366245978424229472at_nat > produc2087150632810049441at_nat ).

thf(func_def_1978,type,
    produc2335810615602371415at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat > produc1906917888121415911at_nat ).

thf(func_def_1979,type,
    produc7133225469290080770it_nat: product_unit > produc6653097349344004940it_nat > produc8664842809031399944it_nat ).

thf(func_def_1980,type,
    produc5838405689764958487_set_o: set_o > set_o > produc7369051934464679207_set_o ).

thf(func_def_1981,type,
    produc7443773368509356479nteger: set_Code_integer > set_Code_integer > produc6491284506569428743nteger ).

thf(func_def_1982,type,
    produc6363374080413544029et_int: set_int > set_int > produc2115011035271226405et_int ).

thf(func_def_1983,type,
    produc4532415448927165861et_nat: set_nat > set_nat > produc7819656566062154093et_nat ).

thf(func_def_1984,type,
    produc763777882069021527od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > produc2934264451710624999od_o_o ).

thf(func_def_1985,type,
    produc8517790099723286449at_nat: set_Product_prod_o_o > set_Pr1261947904930325089at_nat > produc732395585841259969at_nat ).

thf(func_def_1986,type,
    produc5245064249948416855at_nat: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > produc4193628355235574503at_nat ).

thf(func_def_1987,type,
    produc3149970401713881818at_nat: set_Pr1261947904930325089at_nat > nat > produc366245978424229472at_nat ).

thf(func_def_1988,type,
    produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ).

thf(func_def_1989,type,
    produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ).

thf(func_def_1990,type,
    produc7462898802507495127at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > produc7299876168958306407at_nat ).

thf(func_def_1991,type,
    produc1318478031590598990nt_int: set_in3461395444621081367e_term > ( ( int > option6357759511663192854e_term ) > set_Pr958786334691620121nt_int ) > set_Pr1872883991513573699nt_int ).

thf(func_def_1992,type,
    produc7256824055837167575nteger: set_Pr7604974323444597168e_term > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > set_Pr4811707699266497531nteger ) > set_Pr1281608226676607948nteger ).

thf(func_def_1993,type,
    produc7016705354093686019et_nat: set_Pr4532377907799695533_nat_o > ( ( produc3658429121746597890et_nat > $o ) > set_Pr3286484037609594932et_nat ) > set_Pr8536935166611901872et_nat ).

thf(func_def_1994,type,
    produc8052021730408606599et_nat: set_Pr4532377907799695533_nat_o > ( ( produc3658429121746597890et_nat > $o ) > set_Pr3948176798113811640et_nat ) > set_Pr3286484037609594932et_nat ).

thf(func_def_1995,type,
    produc5808185664642557892nt_int: set_Pr3642885161833720865e_term > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > set_Pr958786334691620121nt_int ) > set_Pr9222295170931077689nt_int ).

thf(func_def_1996,type,
    product_Sigma_o_o: set_o > ( $o > set_o ) > set_Product_prod_o_o ).

thf(func_def_1997,type,
    product_Sigma_o_int: set_o > ( $o > set_int ) > set_Pr8834758594704517033_o_int ).

thf(func_def_1998,type,
    product_Sigma_o_nat: set_o > ( $o > set_nat ) > set_Pr2101469702781467981_o_nat ).

thf(func_def_1999,type,
    produc5882431272649516420nteger: set_Code_integer > ( code_integer > set_Code_integer ) > set_Pr4811707699266497531nteger ).

thf(func_def_2000,type,
    produc4258167722180586323er_int: set_Code_integer > ( code_integer > set_int ) > set_Pr6496905503482889930er_int ).

thf(func_def_2001,type,
    produc4260658192689636599er_nat: set_Code_integer > ( code_integer > set_nat ) > set_Pr8986988648414616686er_nat ).

thf(func_def_2002,type,
    produc6231535905537262655atural: set_Code_natural > ( code_natural > set_Pr7564037697178849041atural ) > set_Pr2352657477744078772atural ).

thf(func_def_2003,type,
    product_Sigma_int_o: set_int > ( int > set_o ) > set_Pr903927857289325719_int_o ).

thf(func_def_2004,type,
    produc4896867201705524051nteger: set_int > ( int > set_Code_integer ) > set_Pr8415741480598773322nteger ).

thf(func_def_2005,type,
    produc1453890548195736866nt_int: set_int > ( int > set_int ) > set_Pr958786334691620121nt_int ).

thf(func_def_2006,type,
    produc1456381018704787142nt_nat: set_int > ( int > set_nat ) > set_Pr3448869479623346877nt_nat ).

thf(func_def_2007,type,
    produc2622961094310184599t_unit: set_int > ( int > set_Product_unit ) > set_Pr5889264611543340172t_unit ).

thf(func_def_2008,type,
    produc6850429418872557834st_nat: set_list_nat > ( list_nat > set_list_nat ) > set_Pr3451248702717554689st_nat ).

thf(func_def_2009,type,
    produc7466890150575444730at_nat: set_list_nat > ( list_nat > set_nat ) > set_Pr7549493975000385137at_nat ).

thf(func_def_2010,type,
    product_Sigma_nat_o: set_nat > ( nat > set_o ) > set_Pr3149072824959771635_nat_o ).

thf(func_def_2011,type,
    produc4525213641468679415nteger: set_nat > ( nat > set_Code_integer ) > set_Pr2406931829603198446nteger ).

thf(func_def_2012,type,
    produc454536836294682310at_int: set_nat > ( nat > set_int ) > set_Pr7995236796853374141at_int ).

thf(func_def_2013,type,
    produc5227933103413159546st_nat: set_nat > ( nat > set_list_nat ) > set_Pr698032948827214833st_nat ).

thf(func_def_2014,type,
    produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2015,type,
    produc1809337555817847783at_nat: set_nat > ( nat > set_Pr1261947904930325089at_nat ) > set_Pr7717912310451564380at_nat ).

thf(func_def_2016,type,
    produc396409126344608333at_nat: set_nat > ( nat > set_Pr4329608150637261639at_nat ) > set_Pr1625285437083415874at_nat ).

thf(func_def_2017,type,
    produc5506539147108004339t_unit: set_nat > ( nat > set_Product_unit ) > set_Pr4334478416066269672t_unit ).

thf(func_def_2018,type,
    produc8445815324708537221_nat_o: set_Pr3286484037609594932et_nat > ( produc3925858234332021118et_nat > set_Pr4532377907799695533_nat_o ) > set_Pr7705059561495379578_nat_o ).

thf(func_def_2019,type,
    produc552098293437506509e_term: set_Pr4811707699266497531nteger > ( produc8923325533196201883nteger > set_Pr7604974323444597168e_term ) > set_Pr1628540301243981434e_term ).

thf(func_def_2020,type,
    produc5879417536264718849_nat_o: set_Pr3948176798113811640et_nat > ( produc3658429121746597890et_nat > set_Pr4532377907799695533_nat_o ) > set_Pr4208978187861016310_nat_o ).

thf(func_def_2021,type,
    produc4529769248912663762e_term: set_Pr958786334691620121nt_int > ( product_prod_int_int > set_in3461395444621081367e_term ) > set_Pr9020418513037773311e_term ).

thf(func_def_2022,type,
    produc5327145186146221532e_term: set_Pr958786334691620121nt_int > ( product_prod_int_int > set_Pr3642885161833720865e_term ) > set_Pr7309386651551657097e_term ).

thf(func_def_2023,type,
    produc203973861852599583_nat_o: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_o ) > set_Pr6558897299634722526_nat_o ).

thf(func_def_2024,type,
    produc7672662199629908489at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_nat ) > set_Pr2539167527615954998at_nat ).

thf(func_def_2025,type,
    produc1095920968030776047at_nat: set_Pr4329608150637261639at_nat > ( produc3843707927480180839at_nat > set_nat ) > set_Pr552903133987017116at_nat ).

thf(func_def_2026,type,
    produc6872886531786962417it_int: set_Product_unit > ( product_unit > set_int ) > set_Pr8497134830871917726it_int ).

thf(func_def_2027,type,
    produc6875377002296012693it_nat: set_Product_unit > ( product_unit > set_nat ) > set_Pr1763845938948868674it_nat ).

thf(func_def_2028,type,
    produc6121607364029222536t_unit: set_Product_unit > ( product_unit > set_Product_unit ) > set_Pr5094982260447487303t_unit ).

thf(func_def_2029,type,
    produc105401717395143638et_nat: set_set_nat > ( set_nat > set_set_nat ) > set_Pr5488025237498180813et_nat ).

thf(func_def_2030,type,
    produc7726050920695093128at_nat: set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2031,type,
    product_Unity: product_unit ).

thf(func_def_2032,type,
    produc7131893314732144953nt_int: ( ( int > option6357759511663192854e_term ) > int > option6357759511663192854e_term ) > produc7773217078559923341nt_int > produc7773217078559923341nt_int ).

thf(func_def_2033,type,
    produc6067946493426971951nt_int: ( ( int > option6357759511663192854e_term ) > produc8551481072490612790e_term > option6357759511663192854e_term ) > produc7773217078559923341nt_int > produc2285326912895808259nt_int ).

thf(func_def_2034,type,
    produc2515316116081422825nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc6241069584506657477e_term > option6357759511663192854e_term ) > produc1908205239877642774nteger > produc1908205239877642774nteger ).

thf(func_def_2035,type,
    produc1442628905706551930et_nat: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > produc2732055786443039994et_nat > produc2732055786443039994et_nat ).

thf(func_def_2036,type,
    produc3198230245617193214et_nat: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > produc3925858234332021118et_nat ).

thf(func_def_2037,type,
    produc6919319362177967663nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > int > option6357759511663192854e_term ) > produc2285326912895808259nt_int > produc7773217078559923341nt_int ).

thf(func_def_2038,type,
    produc7277921532047535397nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > produc8551481072490612790e_term > option6357759511663192854e_term ) > produc2285326912895808259nt_int > produc2285326912895808259nt_int ).

thf(func_def_2039,type,
    produc3207347198985423705nteger: ( code_integer > int > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc6237349844158694175nteger ).

thf(func_def_2040,type,
    produc5167107986097539517nt_int: ( code_integer > int > option6357759511663192854e_term ) > produc382792921321436433nt_int > produc7773217078559923341nt_int ).

thf(func_def_2041,type,
    produc7628915689858001394nteger: ( code_integer > produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc3295550550304853304nteger ).

thf(func_def_2042,type,
    produc5215714788235631558nteger: ( code_integer > produc6241069584506657477e_term > option6357759511663192854e_term ) > produc3346328345660746739nteger > produc1908205239877642774nteger ).

thf(func_def_2043,type,
    produc7528800376889492689nteger: ( code_integer > produc3658429121746597890et_nat > $o ) > produc8923325533196201883nteger > produc6691574917238108761nteger ).

thf(func_def_2044,type,
    produc4644964300586701942et_nat: ( code_integer > produc3658429121746597890et_nat > $o ) > produc8299537390109905600et_nat > produc3925858234332021118et_nat ).

thf(func_def_2045,type,
    produc7602971101079744739nteger: ( code_integer > produc8551481072490612790e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc4130039061994950697nteger ).

thf(func_def_2046,type,
    produc7725767832589379507nt_int: ( code_integer > produc8551481072490612790e_term > option6357759511663192854e_term ) > produc382792921321436433nt_int > produc2285326912895808259nt_int ).

thf(func_def_2047,type,
    produc3195571438000033749nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_2048,type,
    produc8323928115967317034atural: ( code_natural > int > option6357759511663192854e_term ) > produc5835291356934675326atural > produc5219672859094816389atural ).

thf(func_def_2049,type,
    produc7347430915296828978nt_int: ( code_natural > int > option6357759511663192854e_term ) > produc5665947927044467078nt_int > produc7773217078559923341nt_int ).

thf(func_def_2050,type,
    produc7618241212158389867et_nat: ( code_natural > produc3658429121746597890et_nat > $o ) > produc5111566536631596683et_nat > produc3925858234332021118et_nat ).

thf(func_def_2051,type,
    produc4623092060929046819atural: ( code_natural > code_natural ) > produc5835291356934675326atural > produc5835291356934675326atural ).

thf(func_def_2052,type,
    produc2895628470685950711rm_int: ( int > int > option6357759511663192854e_term ) > product_prod_int_int > produc6025053409261769070rm_int ).

thf(func_def_2053,type,
    produc7862092043137183022nt_int: ( int > int > option6357759511663192854e_term ) > produc759720530913461378nt_int > produc7773217078559923341nt_int ).

thf(func_def_2054,type,
    produc7344697412356995344rm_int: ( int > produc6241069584506657477e_term > option6357759511663192854e_term ) > product_prod_int_int > produc7172142986261921671rm_int ).

thf(func_def_2055,type,
    produc5502177047915545527nteger: ( int > produc6241069584506657477e_term > option6357759511663192854e_term ) > produc6162884466328367972nteger > produc1908205239877642774nteger ).

thf(func_def_2056,type,
    produc1933289243015553937_o_int: ( int > produc3658429121746597890et_nat > $o ) > product_prod_int_int > produc3776562785724475560_o_int ).

thf(func_def_2057,type,
    produc5259063908904861543et_nat: ( int > produc3658429121746597890et_nat > $o ) > produc8065447618272157327et_nat > produc3925858234332021118et_nat ).

thf(func_def_2058,type,
    produc212012705979908097rm_int: ( int > produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc5577056076408194680rm_int ).

thf(func_def_2059,type,
    produc9204274687749184420nt_int: ( int > produc8551481072490612790e_term > option6357759511663192854e_term ) > produc759720530913461378nt_int > produc2285326912895808259nt_int ).

thf(func_def_2060,type,
    produc2355237562570658114nt_int: ( int > int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_2061,type,
    produc9020447175693601247nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc5966032636589952099nteger ).

thf(func_def_2062,type,
    produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_2063,type,
    produc4047920161794714618e_term: ( code_integer > produc8923325533196201883nteger ) > produc3295550550304853304nteger > produc1908205239877642774nteger ).

thf(func_def_2064,type,
    produc7166930624044334813nteger: ( code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc3346328345660746739nteger ).

thf(func_def_2065,type,
    produc898583841617791278_nat_o: ( code_integer > produc3658429121746597890et_nat ) > produc6691574917238108761nteger > produc3925858234332021118et_nat ).

thf(func_def_2066,type,
    produc7246245855585345468nteger: ( code_integer > produc3658429121746597890et_nat ) > produc8923325533196201883nteger > produc8299537390109905600et_nat ).

thf(func_def_2067,type,
    produc8992176017387436671e_term: ( code_integer > product_prod_int_int ) > produc6237349844158694175nteger > produc7773217078559923341nt_int ).

thf(func_def_2068,type,
    produc6067092816631456265e_term: ( code_integer > product_prod_int_int ) > produc4130039061994950697nteger > produc2285326912895808259nt_int ).

thf(func_def_2069,type,
    produc3535056655957556987nteger: ( code_integer > product_prod_int_int ) > produc8923325533196201883nteger > produc382792921321436433nt_int ).

thf(func_def_2070,type,
    produc4463282112584876420nt_int: ( int > int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_2071,type,
    produc552091674517523435e_term: ( int > produc8923325533196201883nteger ) > produc7172142986261921671rm_int > produc1908205239877642774nteger ).

thf(func_def_2072,type,
    produc2935421404040714269er_int: ( int > produc8923325533196201883nteger ) > product_prod_int_int > produc6162884466328367972nteger ).

thf(func_def_2073,type,
    produc3447581998352395295_nat_o: ( int > produc3658429121746597890et_nat ) > produc3776562785724475560_o_int > produc3925858234332021118et_nat ).

thf(func_def_2074,type,
    produc9121118195053341018at_int: ( int > produc3658429121746597890et_nat ) > product_prod_int_int > produc8065447618272157327et_nat ).

thf(func_def_2075,type,
    produc3260485439724623344e_term: ( int > product_prod_int_int ) > produc6025053409261769070rm_int > produc7773217078559923341nt_int ).

thf(func_def_2076,type,
    produc189803804368834042e_term: ( int > product_prod_int_int ) > produc5577056076408194680rm_int > produc2285326912895808259nt_int ).

thf(func_def_2077,type,
    produc6100211334659168315nt_int: ( int > product_prod_int_int ) > product_prod_int_int > produc759720530913461378nt_int ).

thf(func_def_2078,type,
    produc7418200839687411156nteger: ( num > code_integer ) > produc7142191362829087448er_num > produc8923325533196201883nteger ).

thf(func_def_2079,type,
    produc969530845752564945_nat_o: ( produc3925858234332021118et_nat > produc3925858234332021118et_nat ) > produc2732055786443039994et_nat > produc2732055786443039994et_nat ).

thf(func_def_2080,type,
    produc1515462096303866701_nat_o: ( produc3925858234332021118et_nat > produc3658429121746597890et_nat ) > produc2732055786443039994et_nat > produc3925858234332021118et_nat ).

thf(func_def_2081,type,
    produc717174245515237944e_term: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc1908205239877642774nteger > produc1908205239877642774nteger ).

thf(func_def_2082,type,
    produc4464772112783624294atural: ( produc7822875418678951345atural > produc7822875418678951345atural ) > produc5835291356934675326atural > produc5835291356934675326atural ).

thf(func_def_2083,type,
    produc1304257963789341151atural: ( produc7822875418678951345atural > produc3658429121746597890et_nat ) > produc5835291356934675326atural > produc5111566536631596683et_nat ).

thf(func_def_2084,type,
    produc7977970570655791143e_term: ( produc7822875418678951345atural > product_prod_int_int ) > produc5219672859094816389atural > produc7773217078559923341nt_int ).

thf(func_def_2085,type,
    produc5167862320620071534atural: ( produc7822875418678951345atural > product_prod_int_int ) > produc5835291356934675326atural > produc5665947927044467078nt_int ).

thf(func_def_2086,type,
    produc7714581247149323085_nat_o: ( produc3658429121746597890et_nat > produc3925858234332021118et_nat ) > produc3925858234332021118et_nat > produc2732055786443039994et_nat ).

thf(func_def_2087,type,
    produc8750854537940449737_nat_o: ( produc3658429121746597890et_nat > produc3658429121746597890et_nat ) > produc3925858234332021118et_nat > produc3925858234332021118et_nat ).

thf(func_def_2088,type,
    produc7011684061226097695e_term: ( product_prod_int_int > product_prod_int_int ) > produc7773217078559923341nt_int > produc7773217078559923341nt_int ).

thf(func_def_2089,type,
    produc4973430039190721449e_term: ( product_prod_int_int > product_prod_int_int ) > produc2285326912895808259nt_int > produc2285326912895808259nt_int ).

thf(func_def_2090,type,
    produc9098658269643458507_int_o: ( produc7773217078559923341nt_int > $o ) > ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_2091,type,
    produc1217013493180205570eger_o: ( produc1908205239877642774nteger > $o ) > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_2092,type,
    produc5101573711933517782_nat_o: ( produc2732055786443039994et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_2093,type,
    produc6216949301066131538_nat_o: ( produc3925858234332021118et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2094,type,
    produc730925184835016917_int_o: ( produc2285326912895808259nt_int > $o ) > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_2095,type,
    produc1016772743285680337nt_int: ( product_prod_int_int > int ) > int > int > int ).

thf(func_def_2096,type,
    produc8249235968001453780nt_int: ( product_prod_int_int > product_prod_int_int ) > int > int > product_prod_int_int ).

thf(func_def_2097,type,
    produc3704529784387675049_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > nat > nat > product_prod_nat_nat > $o ).

thf(func_def_2098,type,
    produc3610074571335452306at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > nat > nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_2099,type,
    produc8871627978511607229at_nat: ( product_prod_nat_nat > nat ) > nat > nat > nat ).

thf(func_def_2100,type,
    produc7926200574084438792nt_int: ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_2101,type,
    produc297006045350968285nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_2102,type,
    produc4780622933104268256_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_2103,type,
    produc1854806715440696265at_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_2104,type,
    produc6557683772455589876at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_2105,type,
    produc2558449545302689196_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > $o ).

thf(func_def_2106,type,
    produc5122537100556696953nt_int: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ) > produc7773217078559923341nt_int > produc7773217078559923341nt_int ).

thf(func_def_2107,type,
    produc8646739037753556108_set_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_o ) > produc7773217078559923341nt_int > set_o ).

thf(func_def_2108,type,
    produc4111701587417901774et_int: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_int ) > produc7773217078559923341nt_int > set_int ).

thf(func_def_2109,type,
    produc8289552606927098482et_nat: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > produc7773217078559923341nt_int > set_nat ).

thf(func_def_2110,type,
    produc5154663461364529269at_nat: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_Pr1261947904930325089at_nat ) > produc7773217078559923341nt_int > set_Pr1261947904930325089at_nat ).

thf(func_def_2111,type,
    produc2845945524848125740at_o_o: ( ( nat > $o ) > ( nat > $o ) > $o ) > produc7360885484439884007_nat_o > $o ).

thf(func_def_2112,type,
    produc6253627499356882019eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > $o ).

thf(func_def_2113,type,
    produc6512950862096126219nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ) > produc1908205239877642774nteger > produc1908205239877642774nteger ).

thf(func_def_2114,type,
    produc2373554395599118147_set_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_o ) > produc1908205239877642774nteger > set_o ).

thf(func_def_2115,type,
    produc5700143819190870999et_int: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > produc1908205239877642774nteger > set_int ).

thf(func_def_2116,type,
    produc654622801845291899et_nat: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc1908205239877642774nteger > set_nat ).

thf(func_def_2117,type,
    produc838355143741117751_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > produc2732055786443039994et_nat > $o ).

thf(func_def_2118,type,
    produc2377985495875741467et_nat: ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > produc2732055786443039994et_nat ) > produc2732055786443039994et_nat > produc2732055786443039994et_nat ).

thf(func_def_2119,type,
    produc1437786849005270451_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_2120,type,
    produc4058941399401191971et_nat: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > produc3925858234332021118et_nat ) > produc3925858234332021118et_nat > produc3925858234332021118et_nat ).

thf(func_def_2121,type,
    produc7715693535893868691_set_o: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_o ) > produc3925858234332021118et_nat > set_o ).

thf(func_def_2122,type,
    produc4627640435386541703et_int: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_int ) > produc3925858234332021118et_nat > set_int ).

thf(func_def_2123,type,
    produc8805491454895738411et_nat: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ) > produc3925858234332021118et_nat > set_nat ).

thf(func_def_2124,type,
    produc1573362020775583542_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > $o ).

thf(func_def_2125,type,
    produc8492565224438309093nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ) > produc2285326912895808259nt_int > produc2285326912895808259nt_int ).

thf(func_def_2126,type,
    produc2066375834425727024eger_o: ( code_integer > code_integer > $o ) > produc8923325533196201883nteger > $o ).

thf(func_def_2127,type,
    produc7469247390737344965nteger: ( code_integer > code_integer > code_integer ) > produc8923325533196201883nteger > code_integer ).

thf(func_def_2128,type,
    produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).

thf(func_def_2129,type,
    produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).

thf(func_def_2130,type,
    produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).

thf(func_def_2131,type,
    produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).

thf(func_def_2132,type,
    produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_2133,type,
    produc4281629032016041417nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc3346328345660746739nteger > produc8923325533196201883nteger ).

thf(func_def_2134,type,
    produc8282080750456430313atural: ( code_natural > code_natural > produc6756470014200349799atural ) > produc7822875418678951345atural > produc6756470014200349799atural ).

thf(func_def_2135,type,
    produc7358226366420480123ural_o: ( code_natural > produc7822875418678951345atural > $o ) > produc5835291356934675326atural > $o ).

thf(func_def_2136,type,
    produc6302656368764539796atural: ( code_natural > produc7822875418678951345atural > produc7822875418678951345atural ) > produc5835291356934675326atural > produc7822875418678951345atural ).

thf(func_def_2137,type,
    produc6785097126449100389atural: ( code_natural > produc7822875418678951345atural > produc3981471736659609608atural ) > produc5835291356934675326atural > produc3981471736659609608atural ).

thf(func_def_2138,type,
    produc8767961711439910440rray_a: ( array_a > produc6653097349344004940it_nat > array_a ) > produc6714399278180371524it_nat > array_a ).

thf(func_def_2139,type,
    produc7016084256669755260t_unit: ( array_a > produc6653097349344004940it_nat > heap_e7401611519738050253t_unit ) > produc6714399278180371524it_nat > heap_e7401611519738050253t_unit ).

thf(func_def_2140,type,
    produc6028340861379781217at_nat: ( array_a > produc6653097349344004940it_nat > nat ) > produc6714399278180371524it_nat > nat ).

thf(func_def_2141,type,
    produc8915672860170107321it_nat: ( array_a > produc6653097349344004940it_nat > option3216581401566546698it_nat ) > produc6714399278180371524it_nat > option3216581401566546698it_nat ).

thf(func_def_2142,type,
    produc3495058329975564393it_nat: ( array_a > produc6653097349344004940it_nat > option8956607266484857688it_nat ) > produc6714399278180371524it_nat > option8956607266484857688it_nat ).

thf(func_def_2143,type,
    produc2025300630104146186rray_a: ( heap_e7401611519738050253t_unit > nat > array_a ) > produc6653097349344004940it_nat > array_a ).

thf(func_def_2144,type,
    produc9092781844693468442t_unit: ( heap_e7401611519738050253t_unit > nat > heap_e7401611519738050253t_unit ) > produc6653097349344004940it_nat > heap_e7401611519738050253t_unit ).

thf(func_def_2145,type,
    produc4278983685114131267at_nat: ( heap_e7401611519738050253t_unit > nat > nat ) > produc6653097349344004940it_nat > nat ).

thf(func_def_2146,type,
    produc921929042997482327it_nat: ( heap_e7401611519738050253t_unit > nat > option3216581401566546698it_nat ) > produc6653097349344004940it_nat > option3216581401566546698it_nat ).

thf(func_def_2147,type,
    produc7488178964372371019it_nat: ( heap_e7401611519738050253t_unit > nat > option8956607266484857688it_nat ) > produc6653097349344004940it_nat > option8956607266484857688it_nat ).

thf(func_def_2148,type,
    produc1863717115126956122t_unit: ( heap_e7401611519738050253t_unit > nat > product_unit ) > produc6653097349344004940it_nat > product_unit ).

thf(func_def_2149,type,
    produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(func_def_2150,type,
    produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_2151,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_2152,type,
    produc6382697403170970154_nat_o: ( list_nat > list_nat > $o ) > produc1828647624359046049st_nat > $o ).

thf(func_def_2153,type,
    produc7308574044827705018_nat_o: ( list_nat > nat > $o ) > produc1540777390238407569at_nat > $o ).

thf(func_def_2154,type,
    produc1728318271963197120er_int: ( nat > int > produc2256096406371053034er_int ) > product_prod_nat_int > produc2256096406371053034er_int ).

thf(func_def_2155,type,
    produc1486167065449562675at_int: ( nat > int > product_prod_nat_int ) > product_prod_nat_int > product_prod_nat_int ).

thf(func_def_2156,type,
    produc5265810065896090426_nat_o: ( nat > list_nat > $o ) > produc4575160907756185873st_nat > $o ).

thf(func_def_2157,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_2158,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_2159,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_2160,type,
    produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).

thf(func_def_2161,type,
    produc2761476792215241774st_nat: ( nat > nat > list_nat ) > product_prod_nat_nat > list_nat ).

thf(func_def_2162,type,
    produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_2163,type,
    produc39701218431283661nteger: ( nat > nat > produc8923325533196201883nteger ) > product_prod_nat_nat > produc8923325533196201883nteger ).

thf(func_def_2164,type,
    produc9191653645064861724er_int: ( nat > nat > produc2256096406371053034er_int ) > product_prod_nat_nat > produc2256096406371053034er_int ).

thf(func_def_2165,type,
    produc4146132627719282624er_nat: ( nat > nat > produc6433947425880249742er_nat ) > product_prod_nat_nat > produc6433947425880249742er_nat ).

thf(func_def_2166,type,
    produc675454393454366620nteger: ( nat > nat > produc2963269191615333738nteger ) > product_prod_nat_nat > produc2963269191615333738nteger ).

thf(func_def_2167,type,
    produc3625529712395680143nt_nat: ( nat > nat > product_prod_int_nat ) > product_prod_nat_nat > product_prod_int_nat ).

thf(func_def_2168,type,
    produc303800833217521984nteger: ( nat > nat > produc2591615631378489102nteger ) > product_prod_nat_nat > produc2591615631378489102nteger ).

thf(func_def_2169,type,
    produc7671697017840204687at_int: ( nat > nat > product_prod_nat_int ) > product_prod_nat_nat > product_prod_nat_int ).

thf(func_def_2170,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_2171,type,
    produc8197505143624133779at_nat: ( nat > nat > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2172,type,
    produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).

thf(func_def_2173,type,
    produc1908958340173245860_nat_o: ( nat > set_Pr1261947904930325089at_nat > produc3313772616054891654at_nat > $o ) > produc3313772616054891654at_nat > produc3313772616054891654at_nat > $o ).

thf(func_def_2174,type,
    produc7997411485876045171_nat_o: ( nat > set_Pr1261947904930325089at_nat > $o ) > produc3313772616054891654at_nat > $o ).

thf(func_def_2175,type,
    produc9203276081649983901et_nat: ( produc3925858234332021118et_nat > ( produc3658429121746597890et_nat > $o ) > produc2732055786443039994et_nat ) > produc4962441903510821572_nat_o > produc2732055786443039994et_nat ).

thf(func_def_2176,type,
    produc5068368601420144385nteger: ( produc8923325533196201883nteger > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc1908205239877642774nteger ) > produc998928222018024388e_term > produc1908205239877642774nteger ).

thf(func_def_2177,type,
    produc1198152457851389869atural: ( produc7822875418678951345atural > code_natural > produc5835291356934675326atural ) > produc3981471736659609608atural > produc5835291356934675326atural ).

thf(func_def_2178,type,
    produc5206072795621629085et_nat: ( produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat ) > produc6907119039986491712_nat_o > produc3925858234332021118et_nat ).

thf(func_def_2179,type,
    produc3478612561300218621nt_int: ( product_prod_int_int > ( int > option6357759511663192854e_term ) > produc7773217078559923341nt_int ) > produc3832618445565238089e_term > produc7773217078559923341nt_int ).

thf(func_def_2180,type,
    produc199769199162113789nt_int: ( product_prod_int_int > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > produc2285326912895808259nt_int ) > produc1821397396195235155e_term > produc2285326912895808259nt_int ).

thf(func_def_2181,type,
    produc6590410687421337004_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc859450856879609959at_nat > $o ).

thf(func_def_2182,type,
    produc7830147906768200158_nat_o: ( produc3313772616054891654at_nat > produc3313772616054891654at_nat > $o ) > produc2714363965264676845at_nat > $o ).

thf(func_def_2183,type,
    produc8701595406162815018_nat_o: ( produc366245978424229472at_nat > produc366245978424229472at_nat > $o ) > produc2087150632810049441at_nat > $o ).

thf(func_def_2184,type,
    produc1561160019221259564_nat_o: ( produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o ) > produc1906917888121415911at_nat > $o ).

thf(func_def_2185,type,
    produc6568152436032731486t_unit: ( product_unit > produc6653097349344004940it_nat > heap_e7401611519738050253t_unit ) > produc8664842809031399944it_nat > heap_e7401611519738050253t_unit ).

thf(func_def_2186,type,
    produc5629734405777326591at_nat: ( product_unit > produc6653097349344004940it_nat > nat ) > produc8664842809031399944it_nat > nat ).

thf(func_def_2187,type,
    produc875294279294635931it_nat: ( product_unit > produc6653097349344004940it_nat > option3216581401566546698it_nat ) > produc8664842809031399944it_nat > option3216581401566546698it_nat ).

thf(func_def_2188,type,
    produc1230459020282432263it_nat: ( product_unit > produc6653097349344004940it_nat > option8956607266484857688it_nat ) > produc8664842809031399944it_nat > option8956607266484857688it_nat ).

thf(func_def_2189,type,
    produc5075907435489727646t_unit: ( product_unit > produc6653097349344004940it_nat > product_unit ) > produc8664842809031399944it_nat > product_unit ).

thf(func_def_2190,type,
    produc6247414631856714078_nat_o: ( set_nat > set_nat > $o ) > produc7819656566062154093et_nat > $o ).

thf(func_def_2191,type,
    produc7110675705651593384_nat_o: ( set_Pr1261947904930325089at_nat > nat > produc366245978424229472at_nat > $o ) > produc366245978424229472at_nat > produc366245978424229472at_nat > $o ).

thf(func_def_2192,type,
    produc3595121349294487249_nat_o: ( set_Pr1261947904930325089at_nat > nat > $o ) > produc366245978424229472at_nat > $o ).

thf(func_def_2193,type,
    produc1971064617671185730_nat_o: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o ).

thf(func_def_2194,type,
    produc410239310623530412_nat_o: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > $o ).

thf(func_def_2195,type,
    produc3999165221712921880at_int: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > int ) > produc3843707927480180839at_nat > int ).

thf(func_def_2196,type,
    produc4001655692221972156at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat ) > produc3843707927480180839at_nat > nat ).

thf(func_def_2197,type,
    produc1491100424724016556_nat_o: ( set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o ) > produc7299876168958306407at_nat > $o ).

thf(func_def_2198,type,
    produc6230002227079971283nt_int: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_2199,type,
    produc6972895793295859523_nat_o: produc7360885484439884007_nat_o > nat > $o ).

thf(func_def_2200,type,
    produc7822682618958472924nteger: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2201,type,
    produc180342877477747464et_nat: produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2202,type,
    produc995936583742144908et_nat: produc3925858234332021118et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2203,type,
    produc6816164490631068361nt_int: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2204,type,
    product_fst_o_o: product_prod_o_o > $o ).

thf(func_def_2205,type,
    product_fst_o_int: product_prod_o_int > $o ).

thf(func_def_2206,type,
    product_fst_o_nat: product_prod_o_nat > $o ).

thf(func_def_2207,type,
    product_fst_o_num: product_prod_o_num > $o ).

thf(func_def_2208,type,
    produc1440270732834495325it_nat: produc2900562427881843919it_nat > $o ).

thf(func_def_2209,type,
    produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).

thf(func_def_2210,type,
    produc8630172574501217550er_int: produc2256096406371053034er_int > code_integer ).

thf(func_def_2211,type,
    produc8632663045010267826er_nat: produc6433947425880249742er_nat > code_integer ).

thf(func_def_2212,type,
    produc1861665112190112313nteger: produc3346328345660746739nteger > code_integer ).

thf(func_def_2213,type,
    produc497848011034438852atural: produc5835291356934675326atural > code_natural ).

thf(func_def_2214,type,
    produc491454361838572648it_nat: produc6714399278180371524it_nat > array_a ).

thf(func_def_2215,type,
    produc2838810277069100634it_nat: produc6653097349344004940it_nat > heap_e7401611519738050253t_unit ).

thf(func_def_2216,type,
    product_fst_int_o: product_prod_int_o > int ).

thf(func_def_2217,type,
    produc45500017171379470nteger: produc2963269191615333738nteger > int ).

thf(func_def_2218,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(func_def_2219,type,
    product_fst_int_nat: product_prod_int_nat > int ).

thf(func_def_2220,type,
    product_fst_int_num: product_prod_int_num > int ).

thf(func_def_2221,type,
    product_fst_nat_o: product_prod_nat_o > nat ).

thf(func_def_2222,type,
    produc8897218493789310642nteger: produc2591615631378489102nteger > nat ).

thf(func_def_2223,type,
    product_fst_nat_int: product_prod_nat_int > nat ).

thf(func_def_2224,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_2225,type,
    product_fst_nat_num: product_prod_nat_num > nat ).

thf(func_def_2226,type,
    produc5854401122675660893it_nat: produc3839731585411834681it_nat > nat ).

thf(func_def_2227,type,
    product_fst_num_num: product_prod_num_num > num ).

thf(func_def_2228,type,
    produc1609452848092598666_nat_o: produc4962441903510821572_nat_o > produc3925858234332021118et_nat ).

thf(func_def_2229,type,
    produc1117956856558811858e_term: produc998928222018024388e_term > produc8923325533196201883nteger ).

thf(func_def_2230,type,
    produc4353917038236142998atural: produc3981471736659609608atural > produc7822875418678951345atural ).

thf(func_def_2231,type,
    produc1537665297809786051atural: produc6756470014200349799atural > produc7822875418678951345atural ).

thf(func_def_2232,type,
    produc8046704426453032966_nat_o: produc6907119039986491712_nat_o > produc3658429121746597890et_nat ).

thf(func_def_2233,type,
    produc217921407547260247e_term: produc3832618445565238089e_term > product_prod_int_int ).

thf(func_def_2234,type,
    produc6335124012134732001e_term: produc1821397396195235155e_term > product_prod_int_int ).

thf(func_def_2235,type,
    produc1179527155093393624at_num: produc9082142974458947146at_num > product_prod_nat_nat ).

thf(func_def_2236,type,
    produc4530234641508181270it_nat: produc8664842809031399944it_nat > product_unit ).

thf(func_def_2237,type,
    produc6011863565407846595at_nat: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2238,type,
    produc3162348030201620241nt_int: produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_2239,type,
    produc6795044007072221829_nat_o: produc7360885484439884007_nat_o > nat > $o ).

thf(func_def_2240,type,
    produc7856867400915047194nteger: produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_2241,type,
    produc5374455773327741254et_nat: produc2732055786443039994et_nat > produc3925858234332021118et_nat ).

thf(func_def_2242,type,
    produc4011572625026189258et_nat: produc3925858234332021118et_nat > produc3658429121746597890et_nat ).

thf(func_def_2243,type,
    produc7328097813583171335nt_int: produc2285326912895808259nt_int > product_prod_int_int ).

thf(func_def_2244,type,
    product_snd_o_o: product_prod_o_o > $o ).

thf(func_def_2245,type,
    product_snd_o_int: product_prod_o_int > int ).

thf(func_def_2246,type,
    product_snd_o_nat: product_prod_o_nat > nat ).

thf(func_def_2247,type,
    product_snd_o_num: product_prod_o_num > num ).

thf(func_def_2248,type,
    produc5978051280710547099it_nat: produc2900562427881843919it_nat > produc8664842809031399944it_nat ).

thf(func_def_2249,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

thf(func_def_2250,type,
    produc1514845087660660048er_int: produc2256096406371053034er_int > int ).

thf(func_def_2251,type,
    produc1517335558169710324er_nat: produc6433947425880249742er_nat > nat ).

thf(func_def_2252,type,
    produc7955729907432593271nteger: produc3346328345660746739nteger > produc8923325533196201883nteger ).

thf(func_def_2253,type,
    produc6591912806276919810atural: produc5835291356934675326atural > produc7822875418678951345atural ).

thf(func_def_2254,type,
    produc6991280839920081578it_nat: produc6714399278180371524it_nat > produc6653097349344004940it_nat ).

thf(func_def_2255,type,
    produc2594868675584459928it_nat: produc6653097349344004940it_nat > nat ).

thf(func_def_2256,type,
    product_snd_int_o: product_prod_int_o > $o ).

thf(func_def_2257,type,
    produc2153544567185597776nteger: produc2963269191615333738nteger > code_integer ).

thf(func_def_2258,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(func_def_2259,type,
    product_snd_int_nat: product_prod_int_nat > nat ).

thf(func_def_2260,type,
    product_snd_int_num: product_prod_int_num > num ).

thf(func_def_2261,type,
    product_snd_nat_o: product_prod_nat_o > $o ).

thf(func_def_2262,type,
    produc1781891006948753140nteger: produc2591615631378489102nteger > code_integer ).

thf(func_def_2263,type,
    product_snd_nat_int: product_prod_nat_int > int ).

thf(func_def_2264,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_2265,type,
    product_snd_nat_num: product_prod_nat_num > num ).

thf(func_def_2266,type,
    produc8417671938598930591it_nat: produc3839731585411834681it_nat > produc8664842809031399944it_nat ).

thf(func_def_2267,type,
    product_snd_num_num: product_prod_num_num > num ).

thf(func_def_2268,type,
    produc6803565743942592456_nat_o: produc4962441903510821572_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_2269,type,
    produc1152141638515386128e_term: produc998928222018024388e_term > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2270,type,
    produc7455300194457530885atural: produc6756470014200349799atural > produc7822875418678951345atural ).

thf(func_def_2271,type,
    produc1838968430882301508_nat_o: produc6907119039986491712_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_2272,type,
    produc6373639247523685013e_term: produc3832618445565238089e_term > int > option6357759511663192854e_term ).

thf(func_def_2273,type,
    produc6847057335086834975e_term: produc1821397396195235155e_term > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2274,type,
    produc8847702614181477910at_num: produc9082142974458947146at_num > num ).

thf(func_def_2275,type,
    produc8604850587836428116it_nat: produc8664842809031399944it_nat > produc6653097349344004940it_nat ).

thf(func_def_2276,type,
    produc2937545259423399429at_nat: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2277,type,
    produc5538323210962509403atural: ( produc7822875418678951345atural > produc5835291356934675326atural ) > ( code_natural > produc7822875418678951345atural > produc5835291356934675326atural ) > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_2278,type,
    product_Abs_unit: $o > product_unit ).

thf(func_def_2279,type,
    product_Rep_unit: product_unit > $o ).

thf(func_def_2280,type,
    inc_shift: code_natural > code_natural > code_natural ).

thf(func_def_2281,type,
    iterat8892046348760725948atural: code_natural > ( code_natural > produc7822875418678951345atural > produc5835291356934675326atural ) > code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_2282,type,
    log: code_natural > code_natural > code_natural ).

thf(func_def_2283,type,
    log_rel: produc7822875418678951345atural > produc7822875418678951345atural > $o ).

thf(func_def_2284,type,
    minus_shift: code_natural > code_natural > code_natural > code_natural ).

thf(func_def_2285,type,
    next: produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_2286,type,
    range: code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_2287,type,
    split_seed: produc7822875418678951345atural > produc6756470014200349799atural ).

thf(func_def_2288,type,
    abs_Rat: product_prod_int_int > rat ).

thf(func_def_2289,type,
    fract: int > int > rat ).

thf(func_def_2290,type,
    frct: product_prod_int_int > rat ).

thf(func_def_2291,type,
    rep_Rat: rat > product_prod_int_int ).

thf(func_def_2292,type,
    normalize: product_prod_int_int > product_prod_int_int ).

thf(func_def_2293,type,
    of_int: int > rat ).

thf(func_def_2294,type,
    pcr_rat: product_prod_int_int > rat > $o ).

thf(func_def_2295,type,
    positive: rat > $o ).

thf(func_def_2296,type,
    quotient_of: rat > product_prod_int_int ).

thf(func_def_2297,type,
    ratrel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_2298,type,
    ref_change_array_a: ( array_a > array_a ) > ref_array_a > heap_T6362127782908069795rray_a ).

thf(func_def_2299,type,
    ref_ch7259622376331601608t_unit: ( product_unit > product_unit ) > ref_Product_unit > heap_T5738788834812785303t_unit ).

thf(func_def_2300,type,
    ref_get_array_a: heap_e7401611519738050253t_unit > ref_array_a > array_a ).

thf(func_def_2301,type,
    ref_get_Product_unit: heap_e7401611519738050253t_unit > ref_Product_unit > product_unit ).

thf(func_def_2302,type,
    ref_lookup_array_a: ref_array_a > heap_T6362127782908069795rray_a ).

thf(func_def_2303,type,
    ref_lo7930775386976318366t_unit: ref_Product_unit > heap_T5738788834812785303t_unit ).

thf(func_def_2304,type,
    ref_set_array_a: ref_array_a > array_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ).

thf(func_def_2305,type,
    ref_set_Product_unit: ref_Product_unit > product_unit > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ).

thf(func_def_2306,type,
    refine_Imp_assert: $o > heap_T5738788834812785303t_unit ).

thf(func_def_2307,type,
    domain452967906960104687nteger: ( int > code_integer > $o ) > int > $o ).

thf(func_def_2308,type,
    domainp_int_int: ( int > int > $o ) > int > $o ).

thf(func_def_2309,type,
    domain8128281535334753374atural: ( nat > code_natural > $o ) > nat > $o ).

thf(func_def_2310,type,
    domainp_nat_nat: ( nat > nat > $o ) > nat > $o ).

thf(func_def_2311,type,
    field_o: set_Product_prod_o_o > set_o ).

thf(func_def_2312,type,
    field_Code_integer: set_Pr4811707699266497531nteger > set_Code_integer ).

thf(func_def_2313,type,
    field_int: set_Pr958786334691620121nt_int > set_int ).

thf(func_def_2314,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_2315,type,
    field_4706345496283612622at_nat: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2316,type,
    field_2862844103579723188at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2317,type,
    field_3145993188331922222at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat ).

thf(func_def_2318,type,
    id_on_o: set_o > set_Product_prod_o_o ).

thf(func_def_2319,type,
    id_on_int: set_int > set_Pr958786334691620121nt_int ).

thf(func_def_2320,type,
    id_on_nat: set_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2321,type,
    id_on_2554058798563519774at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat ).

thf(func_def_2322,type,
    id_on_7869290023980668164at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat ).

thf(func_def_2323,type,
    id_on_6713504163309144702at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2324,type,
    inv_image_nat_nat: set_Pr1261947904930325089at_nat > ( nat > nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2325,type,
    inv_im6750873321330482877at_nat: set_Pr1261947904930325089at_nat > ( set_Pr1261947904930325089at_nat > nat ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2326,type,
    inv_im4437241714082187487at_nat: set_Pr4329608150637261639at_nat > ( nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2327,type,
    inv_im7023619800666061458at_nat: set_Pr4329608150637261639at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2328,type,
    relcom967497705283160040nteger: ( int > int > $o ) > ( int > code_integer > $o ) > int > code_integer > $o ).

thf(func_def_2329,type,
    relcom1729257228895983867atural: ( nat > nat > $o ) > ( nat > code_natural > $o ) > nat > code_natural > $o ).

thf(func_def_2330,type,
    total_on_o: set_o > set_Product_prod_o_o > $o ).

thf(func_def_2331,type,
    total_on_int: set_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_2332,type,
    total_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_2333,type,
    total_3592101749530773125at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o ).

thf(func_def_2334,type,
    total_1513685709984341995at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o ).

thf(func_def_2335,type,
    total_7212417256332265445at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_2336,type,
    algebr932160517623751201me_int: int > int > $o ).

thf(func_def_2337,type,
    algebr934650988132801477me_nat: nat > nat > $o ).

thf(func_def_2338,type,
    divide6298287555418463151nteger: code_integer > code_integer > code_integer ).

thf(func_def_2339,type,
    divide5121882707175180666atural: code_natural > code_natural > code_natural ).

thf(func_def_2340,type,
    divide_divide_int: int > int > int ).

thf(func_def_2341,type,
    divide_divide_nat: nat > nat > nat ).

thf(func_def_2342,type,
    divide_divide_rat: rat > rat > rat ).

thf(func_def_2343,type,
    dvd_dvd_assn: assn > assn > $o ).

thf(func_def_2344,type,
    dvd_dvd_Code_integer: code_integer > code_integer > $o ).

thf(func_def_2345,type,
    dvd_dvd_Code_natural: code_natural > code_natural > $o ).

thf(func_def_2346,type,
    dvd_dvd_int: int > int > $o ).

thf(func_def_2347,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(func_def_2348,type,
    dvd_dvd_rat: rat > rat > $o ).

thf(func_def_2349,type,
    modulo364778990260209775nteger: code_integer > code_integer > code_integer ).

thf(func_def_2350,type,
    modulo8411746178871703098atural: code_natural > code_natural > code_natural ).

thf(func_def_2351,type,
    modulo_modulo_int: int > int > int ).

thf(func_def_2352,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(func_def_2353,type,
    unit_f2748546683901255202or_nat: nat > nat ).

thf(func_def_2354,type,
    zero_n356916108424825756nteger: $o > code_integer ).

thf(func_def_2355,type,
    zero_n8403883297036319079atural: $o > code_natural ).

thf(func_def_2356,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(func_def_2357,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(func_def_2358,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

thf(func_def_2359,type,
    collec2839945811840875229_nat_o: ( ( int > produc7360885484439884007_nat_o ) > $o ) > set_in2553536192574375378_nat_o ).

thf(func_def_2360,type,
    collec8221555239282056977nteger: ( ( int > produc8923325533196201883nteger ) > $o ) > set_in2260935666578096390nteger ).

thf(func_def_2361,type,
    collec5961276329923387678atural: ( ( int > produc5835291356934675326atural ) > $o ) > set_in1345054734626228863atural ).

thf(func_def_2362,type,
    collec2229320974926845999nt_int: ( ( int > product_prod_int_int ) > $o ) > set_in6154042108061588260nt_int ).

thf(func_def_2363,type,
    collec7299664631084759149nteger: ( ( nat > produc8923325533196201883nteger ) > $o ) > set_na3661387095409732706nteger ).

thf(func_def_2364,type,
    collec3197714919839585474atural: ( ( nat > produc5835291356934675326atural ) > $o ) > set_na2454399383705037859atural ).

thf(func_def_2365,type,
    collec8414850927317488011nt_int: ( ( nat > product_prod_int_int ) > $o ) > set_na7251125088705586816nt_int ).

thf(func_def_2366,type,
    collec492036462967229448nteger: ( ( product_unit > produc8923325533196201883nteger ) > $o ) > set_Pr9591959067864425nteger ).

thf(func_def_2367,type,
    collec3282430933710331751atural: ( ( product_unit > produc5835291356934675326atural ) > $o ) > set_Pr7322412474522714716atural ).

thf(func_def_2368,type,
    collec2513708037538135334nt_int: ( ( product_unit > product_prod_int_int ) > $o ) > set_Pr3770298976803184519nt_int ).

thf(func_def_2369,type,
    collect_o: ( $o > $o ) > set_o ).

thf(func_def_2370,type,
    collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).

thf(func_def_2371,type,
    collect_int: ( int > $o ) > set_int ).

thf(func_def_2372,type,
    collect_list_nat: ( list_nat > $o ) > set_list_nat ).

thf(func_def_2373,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_2374,type,
    collect_num: ( num > $o ) > set_num ).

thf(func_def_2375,type,
    collect_option_num: ( option_num > $o ) > set_option_num ).

thf(func_def_2376,type,
    collec8141831914148684149it_nat: ( option3216581401566546698it_nat > $o ) > set_op3940070208846178154it_nat ).

thf(func_def_2377,type,
    collec5742531119322951597it_nat: ( option8956607266484857688it_nat > $o ) > set_op239864471688321678it_nat ).

thf(func_def_2378,type,
    collec506566255779805410nt_int: ( produc7773217078559923341nt_int > $o ) > set_Pr1872883991513573699nt_int ).

thf(func_def_2379,type,
    collec5110290359514967890_nat_o: ( produc7360885484439884007_nat_o > $o ) > set_Pr7909803484932130503_nat_o ).

thf(func_def_2380,type,
    collec6950949345391930603nteger: ( produc1908205239877642774nteger > $o ) > set_Pr1281608226676607948nteger ).

thf(func_def_2381,type,
    collec5543584681430388431et_nat: ( produc2732055786443039994et_nat > $o ) > set_Pr8536935166611901872et_nat ).

thf(func_def_2382,type,
    collec1402215087704437587et_nat: ( produc3925858234332021118et_nat > $o ) > set_Pr3286484037609594932et_nat ).

thf(func_def_2383,type,
    collec1790188477890212312nt_int: ( produc2285326912895808259nt_int > $o ) > set_Pr9222295170931077689nt_int ).

thf(func_def_2384,type,
    collec7766031446232907142nteger: ( produc8923325533196201883nteger > $o ) > set_Pr4811707699266497531nteger ).

thf(func_def_2385,type,
    collec1991479681304692691atural: ( produc5835291356934675326atural > $o ) > set_Pr2352657477744078772atural ).

thf(func_def_2386,type,
    collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_2387,type,
    collec1570431334306492044st_nat: ( produc1828647624359046049st_nat > $o ) > set_Pr3451248702717554689st_nat ).

thf(func_def_2388,type,
    collec8096645339561496572at_nat: ( produc1540777390238407569at_nat > $o ) > set_Pr7549493975000385137at_nat ).

thf(func_def_2389,type,
    collec1907656820224499068st_nat: ( produc4575160907756185873st_nat > $o ) > set_Pr698032948827214833st_nat ).

thf(func_def_2390,type,
    collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2391,type,
    collec7088162979684241874at_nat: ( produc859450856879609959at_nat > $o ) > set_Pr8693737435421807431at_nat ).

thf(func_def_2392,type,
    collec2088441199205367000at_nat: ( produc2714363965264676845at_nat > $o ) > set_Pr2072254264782222413at_nat ).

thf(func_def_2393,type,
    collec1461227866750739596at_nat: ( produc2087150632810049441at_nat > $o ) > set_Pr5070339090747523585at_nat ).

thf(func_def_2394,type,
    collec223960383693904210at_nat: ( produc1906917888121415911at_nat > $o ) > set_Pr5564308138774400199at_nat ).

thf(func_def_2395,type,
    collec6662362479098859352et_nat: ( produc7819656566062154093et_nat > $o ) > set_Pr5488025237498180813et_nat ).

thf(func_def_2396,type,
    collec6321179662152712658at_nat: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2397,type,
    collec2601550354786890194at_nat: ( produc7299876168958306407at_nat > $o ) > set_Pr1604112560894399303at_nat ).

thf(func_def_2398,type,
    collect_rat: ( rat > $o ) > set_rat ).

thf(func_def_2399,type,
    collec574505750873337192nteger: ( set_Code_integer > $o ) > set_set_Code_integer ).

thf(func_def_2400,type,
    collect_set_int: ( set_int > $o ) > set_set_int ).

thf(func_def_2401,type,
    collect_set_nat: ( set_nat > $o ) > set_set_nat ).

thf(func_def_2402,type,
    collec5514110066124741708at_nat: ( set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat ).

thf(func_def_2403,type,
    collec9208119312383884190nteger: ( set_set_Code_integer > $o ) > set_se8531188866349061887nteger ).

thf(func_def_2404,type,
    collect_set_set_int: ( set_set_int > $o ) > set_set_set_int ).

thf(func_def_2405,type,
    collec4691811733418234273st_nat: ( set_set_list_nat > $o ) > set_set_set_list_nat ).

thf(func_def_2406,type,
    collect_set_set_nat: ( set_set_nat > $o ) > set_set_set_nat ).

thf(func_def_2407,type,
    collec6698286964019821996at_nat: ( set_se7855581050983116737at_nat > $o ) > set_se5158245632345848097at_nat ).

thf(func_def_2408,type,
    collec4600646233855244344t_unit: ( set_set_Product_unit > $o ) > set_se7118615804146677933t_unit ).

thf(func_def_2409,type,
    image_7670822187664137143_int_o: ( ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > $o ) > set_in8474487674441654202_int_o > set_Pr1425283071195816930_int_o ).

thf(func_def_2410,type,
    image_5214523798439755767eger_o: ( ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > $o ) > set_Pr8914822823351560561eger_o > set_Pr606876518868980121eger_o ).

thf(func_def_2411,type,
    image_1033581555836824229_nat_o: ( ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > produc2732055786443039994et_nat > $o ) > set_Pr1457143144315775327_nat_o > set_Pr1230246726286442933_nat_o ).

thf(func_def_2412,type,
    image_8189751627993580965_nat_o: ( ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > set_Pr8208987589773510107_nat_o > set_Pr8959645425803247153_nat_o ).

thf(func_def_2413,type,
    image_7631425643974863415_int_o: ( ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > $o ) > set_Pr5050529186185961540_int_o > set_Pr6358892174463501804_int_o ).

thf(func_def_2414,type,
    image_7708985414016646955nt_int: ( ( int > option6357759511663192854e_term ) > set_Pr1872883991513573699nt_int ) > set_in3461395444621081367e_term > set_se7394616247590735609nt_int ).

thf(func_def_2415,type,
    image_7429393840292777309_nat_o: ( ( nat > nat > $o ) > product_prod_nat_nat > $o ) > set_nat_nat_o > set_Pr5582243495563764594_nat_o ).

thf(func_def_2416,type,
    image_nat_o_nat_o: ( ( nat > $o ) > nat > $o ) > set_nat_o > set_nat_o ).

thf(func_def_2417,type,
    image_2770089787918713472nt_int: ( ( produc7773217078559923341nt_int > $o ) > set_Pr1872883991513573699nt_int ) > set_Pr1425283071195816930_int_o > set_se7394616247590735609nt_int ).

thf(func_def_2418,type,
    image_2691561895000378432nteger: ( ( produc1908205239877642774nteger > $o ) > set_Pr1281608226676607948nteger ) > set_Pr606876518868980121eger_o > set_se124295367203800706nteger ).

thf(func_def_2419,type,
    image_3321512208570918720et_nat: ( ( produc2732055786443039994et_nat > $o ) > set_Pr8536935166611901872et_nat ) > set_Pr1230246726286442933_nat_o > set_se5120235452707311462et_nat ).

thf(func_def_2420,type,
    image_8138495846740763712et_nat: ( ( produc3925858234332021118et_nat > $o ) > set_Pr3286484037609594932et_nat ) > set_Pr8959645425803247153_nat_o > set_se8543413830569400298et_nat ).

thf(func_def_2421,type,
    image_7643917626522560896nt_int: ( ( produc2285326912895808259nt_int > $o ) > set_Pr9222295170931077689nt_int ) > set_Pr6358892174463501804_int_o > set_se2364587433798273647nt_int ).

thf(func_def_2422,type,
    image_3218922492622835021nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > set_Pr1281608226676607948nteger ) > set_Pr7604974323444597168e_term > set_se124295367203800706nteger ).

thf(func_def_2423,type,
    image_4127253568139551288et_nat: ( ( produc3658429121746597890et_nat > $o ) > set_Pr8536935166611901872et_nat ) > set_Pr4532377907799695533_nat_o > set_se5120235452707311462et_nat ).

thf(func_def_2424,type,
    image_1916054815030244540et_nat: ( ( produc3658429121746597890et_nat > $o ) > set_Pr3286484037609594932et_nat ) > set_Pr4532377907799695533_nat_o > set_se8543413830569400298et_nat ).

thf(func_def_2425,type,
    image_5111841350319496619nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > set_Pr9222295170931077689nt_int ) > set_Pr3642885161833720865e_term > set_se2364587433798273647nt_int ).

thf(func_def_2426,type,
    image_7124889717316225246at_nat: ( ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ) > set_Pr5582243495563764594_nat_o > set_se7855581050983116737at_nat ).

thf(func_def_2427,type,
    image_4902389024228248874at_nat: ( ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ) > set_Pr7010166363911110284_nat_o > set_se5479201105039950375at_nat ).

thf(func_def_2428,type,
    image_6226802281960588479_nat_o: ( ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > $o ) > set_se9180647916752606350_nat_o > set_Pr7010166363911110284_nat_o ).

thf(func_def_2429,type,
    image_o_o: ( $o > $o ) > set_o > set_o ).

thf(func_def_2430,type,
    image_o_int: ( $o > int ) > set_o > set_int ).

thf(func_def_2431,type,
    image_o_nat: ( $o > nat ) > set_o > set_nat ).

thf(func_def_2432,type,
    image_o_option_o: ( $o > option_o ) > set_o > set_option_o ).

thf(func_def_2433,type,
    image_o_option_num: ( $o > option_num ) > set_o > set_option_num ).

thf(func_def_2434,type,
    image_5849929686412825643it_nat: ( $o > option8956607266484857688it_nat ) > set_o > set_op239864471688321678it_nat ).

thf(func_def_2435,type,
    image_4415570909310888640t_unit: ( $o > option_Product_unit ) > set_o > set_op3165557761946182707t_unit ).

thf(func_def_2436,type,
    image_966425688229763753et_nat: ( $o > option_set_nat ) > set_o > set_option_set_nat ).

thf(func_def_2437,type,
    image_o_Product_unit: ( $o > product_unit ) > set_o > set_Product_unit ).

thf(func_def_2438,type,
    image_6491638074533506790nteger: ( $o > set_Code_integer ) > set_o > set_set_Code_integer ).

thf(func_def_2439,type,
    image_o_set_int: ( $o > set_int ) > set_o > set_set_int ).

thf(func_def_2440,type,
    image_o_set_nat: ( $o > set_nat ) > set_o > set_set_nat ).

thf(func_def_2441,type,
    image_2177946750938214461nteger: ( code_integer > code_integer > code_integer ) > set_Code_integer > set_Co726186806682698383nteger ).

thf(func_def_2442,type,
    image_4470545334726330049nteger: ( code_integer > code_integer ) > set_Code_integer > set_Code_integer ).

thf(func_def_2443,type,
    image_948535463418740880er_int: ( code_integer > int ) > set_Code_integer > set_int ).

thf(func_def_2444,type,
    image_951025933927791156er_nat: ( code_integer > nat ) > set_Code_integer > set_nat ).

thf(func_def_2445,type,
    image_8960079959263999889nteger: ( code_integer > option_Code_integer ) > set_Code_integer > set_op687863988967635939nteger ).

thf(func_def_2446,type,
    image_7182656606676592809t_unit: ( code_integer > product_unit ) > set_Code_integer > set_Product_unit ).

thf(func_def_2447,type,
    image_2291390168754192375nteger: ( code_integer > set_Code_integer ) > set_Code_integer > set_set_Code_integer ).

thf(func_def_2448,type,
    image_3530315724569248802atural: ( code_natural > set_Pr7564037697178849041atural ) > set_Code_natural > set_se3372686590935047281atural ).

thf(func_def_2449,type,
    image_int_o: ( int > $o ) > set_int > set_o ).

thf(func_def_2450,type,
    image_1587234942943678608nteger: ( int > code_integer ) > set_int > set_Code_integer ).

thf(func_def_2451,type,
    image_int_int: ( int > int ) > set_int > set_int ).

thf(func_def_2452,type,
    image_int_nat: ( int > nat ) > set_int > set_nat ).

thf(func_def_2453,type,
    image_int_num: ( int > num ) > set_int > set_num ).

thf(func_def_2454,type,
    image_int_option_int: ( int > option_int ) > set_int > set_option_int ).

thf(func_def_2455,type,
    image_int_option_num: ( int > option_num ) > set_int > set_option_num ).

thf(func_def_2456,type,
    image_7905038228067148555it_nat: ( int > option8956607266484857688it_nat ) > set_int > set_op239864471688321678it_nat ).

thf(func_def_2457,type,
    image_1735198859854722016t_unit: ( int > option_Product_unit ) > set_int > set_op3165557761946182707t_unit ).

thf(func_def_2458,type,
    image_2293489338514188681et_nat: ( int > option_set_nat ) > set_int > set_option_set_nat ).

thf(func_def_2459,type,
    image_259982842891744372_nat_o: ( int > produc7360885484439884007_nat_o ) > set_int > set_Pr7909803484932130503_nat_o ).

thf(func_def_2460,type,
    image_5194296484788039592nteger: ( int > produc8923325533196201883nteger ) > set_int > set_Pr4811707699266497531nteger ).

thf(func_def_2461,type,
    image_6835604608220425009atural: ( int > produc5835291356934675326atural ) > set_int > set_Pr2352657477744078772atural ).

thf(func_def_2462,type,
    image_5705468584675977158nt_int: ( int > product_prod_int_int ) > set_int > set_Pr958786334691620121nt_int ).

thf(func_def_2463,type,
    image_5846526143423701914t_unit: ( int > product_unit ) > set_int > set_Product_unit ).

thf(func_def_2464,type,
    image_75573793354812870nteger: ( int > set_Code_integer ) > set_int > set_set_Code_integer ).

thf(func_def_2465,type,
    image_int_set_int: ( int > set_int ) > set_int > set_set_int ).

thf(func_def_2466,type,
    image_int_set_nat: ( int > set_nat ) > set_int > set_set_nat ).

thf(func_def_2467,type,
    image_2516384619306764229at_nat: ( multis2468970476368604999at_nat > multis2468970476368604999at_nat ) > set_mu2057375006010111271at_nat > set_mu2057375006010111271at_nat ).

thf(func_def_2468,type,
    image_nat_o: ( nat > $o ) > set_nat > set_o ).

thf(func_def_2469,type,
    image_1215581382706833972nteger: ( nat > code_integer ) > set_nat > set_Code_integer ).

thf(func_def_2470,type,
    image_nat_int: ( nat > int ) > set_nat > set_int ).

thf(func_def_2471,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_2472,type,
    image_nat_num: ( nat > num ) > set_nat > set_num ).

thf(func_def_2473,type,
    image_nat_option_nat: ( nat > option_nat ) > set_nat > set_option_nat ).

thf(func_def_2474,type,
    image_nat_option_num: ( nat > option_num ) > set_nat > set_option_num ).

thf(func_def_2475,type,
    image_5028743614110135983it_nat: ( nat > option8956607266484857688it_nat ) > set_nat > set_op239864471688321678it_nat ).

thf(func_def_2476,type,
    image_1497621718204147004t_unit: ( nat > option_Product_unit ) > set_nat > set_op3165557761946182707t_unit ).

thf(func_def_2477,type,
    image_1085372205585808685et_nat: ( nat > option_set_nat ) > set_nat > set_option_set_nat ).

thf(func_def_2478,type,
    image_4272405876590741764nteger: ( nat > produc8923325533196201883nteger ) > set_nat > set_Pr4811707699266497531nteger ).

thf(func_def_2479,type,
    image_8172478253469051731er_int: ( nat > produc2256096406371053034er_int ) > set_nat > set_Pr6496905503482889930er_int ).

thf(func_def_2480,type,
    image_3126957236123472631er_nat: ( nat > produc6433947425880249742er_nat ) > set_nat > set_Pr8986988648414616686er_nat ).

thf(func_def_2481,type,
    image_4072043198136622805atural: ( nat > produc5835291356934675326atural ) > set_nat > set_Pr2352657477744078772atural ).

thf(func_def_2482,type,
    image_8879651038713332435nteger: ( nat > produc2963269191615333738nteger ) > set_nat > set_Pr8415741480598773322nteger ).

thf(func_def_2483,type,
    image_2667626500211843362nt_int: ( nat > product_prod_int_int ) > set_nat > set_Pr958786334691620121nt_int ).

thf(func_def_2484,type,
    image_6845477519721040070nt_nat: ( nat > product_prod_int_nat ) > set_nat > set_Pr3448869479623346877nt_nat ).

thf(func_def_2485,type,
    image_8507997478476487799nteger: ( nat > produc2591615631378489102nteger ) > set_nat > set_Pr2406931829603198446nteger ).

thf(func_def_2486,type,
    image_1668272788310788806at_int: ( nat > product_prod_nat_int ) > set_nat > set_Pr7995236796853374141at_int ).

thf(func_def_2487,type,
    image_5846123807819985514at_nat: ( nat > product_prod_nat_nat ) > set_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2488,type,
    image_8730104196221521654t_unit: ( nat > product_unit ) > set_nat > set_Product_unit ).

thf(func_def_2489,type,
    image_2385391725447763818nteger: ( nat > set_Code_integer ) > set_nat > set_set_Code_integer ).

thf(func_def_2490,type,
    image_nat_set_int: ( nat > set_int ) > set_nat > set_set_int ).

thf(func_def_2491,type,
    image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).

thf(func_def_2492,type,
    image_7178329752028323786at_nat: ( nat > set_Pr1261947904930325089at_nat ) > set_nat > set_se7855581050983116737at_nat ).

thf(func_def_2493,type,
    image_1087905878993176368at_nat: ( nat > set_Pr4329608150637261639at_nat ) > set_nat > set_se5479201105039950375at_nat ).

thf(func_def_2494,type,
    image_8379761247532268670nteger: ( num > code_integer ) > set_num > set_Code_integer ).

thf(func_def_2495,type,
    image_num_num: ( num > num ) > set_num > set_num ).

thf(func_def_2496,type,
    image_num_option_num: ( num > option_num ) > set_num > set_option_num ).

thf(func_def_2497,type,
    image_option_num_num: ( option_num > num ) > set_option_num > set_num ).

thf(func_def_2498,type,
    image_5549452628634654015it_nat: ( option3216581401566546698it_nat > produc6714399278180371524it_nat ) > set_op3940070208846178154it_nat > set_Pr5142436192348053284it_nat ).

thf(func_def_2499,type,
    image_1237920015125996135it_nat: ( option8956607266484857688it_nat > produc8664842809031399944it_nat ) > set_op239864471688321678it_nat > set_Pr1354866905816374718it_nat ).

thf(func_def_2500,type,
    image_4217645046469565813e_term: ( produc7773217078559923341nt_int > int > option6357759511663192854e_term ) > set_Pr1872883991513573699nt_int > set_in3461395444621081367e_term ).

thf(func_def_2501,type,
    image_3108077152341812517nt_int: ( produc7773217078559923341nt_int > product_prod_int_int ) > set_Pr1872883991513573699nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2502,type,
    image_4436781500471753239e_term: ( produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ) > set_Pr1281608226676607948nteger > set_Pr7604974323444597168e_term ).

thf(func_def_2503,type,
    image_3141030398089242942nteger: ( produc1908205239877642774nteger > produc8923325533196201883nteger ) > set_Pr1281608226676607948nteger > set_Pr4811707699266497531nteger ).

thf(func_def_2504,type,
    image_2517677226577294348_nat_o: ( produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ) > set_Pr8536935166611901872et_nat > set_Pr4532377907799695533_nat_o ).

thf(func_def_2505,type,
    image_4557310310409863807et_nat: ( produc2732055786443039994et_nat > produc3925858234332021118et_nat ) > set_Pr8536935166611901872et_nat > set_Pr3286484037609594932et_nat ).

thf(func_def_2506,type,
    image_6802380912191114376_nat_o: ( produc3925858234332021118et_nat > produc3658429121746597890et_nat > $o ) > set_Pr3286484037609594932et_nat > set_Pr4532377907799695533_nat_o ).

thf(func_def_2507,type,
    image_4390311411407041927et_nat: ( produc3925858234332021118et_nat > produc3658429121746597890et_nat ) > set_Pr3286484037609594932et_nat > set_Pr3948176798113811640et_nat ).

thf(func_def_2508,type,
    image_8189767104526903093et_nat: ( produc3925858234332021118et_nat > set_Pr8536935166611901872et_nat ) > set_Pr3286484037609594932et_nat > set_se5120235452707311462et_nat ).

thf(func_def_2509,type,
    image_142517975987106933e_term: ( produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ) > set_Pr9222295170931077689nt_int > set_Pr3642885161833720865e_term ).

thf(func_def_2510,type,
    image_3915291023682402351nt_int: ( produc2285326912895808259nt_int > product_prod_int_int ) > set_Pr9222295170931077689nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2511,type,
    image_7896445794123959606_o_o_o: ( product_prod_o_o > $o ) > set_Product_prod_o_o > set_o ).

thf(func_def_2512,type,
    image_5860565421610830622_int_o: ( product_prod_o_int > $o ) > set_Pr8834758594704517033_o_int > set_o ).

thf(func_def_2513,type,
    image_7072963285496371238nt_int: ( product_prod_o_int > int ) > set_Pr8834758594704517033_o_int > set_int ).

thf(func_def_2514,type,
    image_8105710389281276538_nat_o: ( product_prod_o_nat > $o ) > set_Pr2101469702781467981_o_nat > set_o ).

thf(func_def_2515,type,
    image_4888532181312399726at_nat: ( product_prod_o_nat > nat ) > set_Pr2101469702781467981_o_nat > set_nat ).

thf(func_def_2516,type,
    image_8863890952250787504_num_o: ( product_prod_o_num > $o ) > set_Pr7040061329075590551_o_num > set_o ).

thf(func_def_2517,type,
    image_5849890305759347266_nat_o: ( produc2900562427881843919it_nat > $o ) > set_Pr6777250647868329861it_nat > set_o ).

thf(func_def_2518,type,
    image_6316824473203919795nteger: ( produc8923325533196201883nteger > code_integer ) > set_Pr4811707699266497531nteger > set_Code_integer ).

thf(func_def_2519,type,
    image_5715966689554962722nteger: ( produc8923325533196201883nteger > set_Pr1281608226676607948nteger ) > set_Pr4811707699266497531nteger > set_se124295367203800706nteger ).

thf(func_def_2520,type,
    image_8194678751871465133atural: ( produc5835291356934675326atural > code_natural ) > set_Pr2352657477744078772atural > set_Code_natural ).

thf(func_def_2521,type,
    image_3837677093542026988atural: ( produc5835291356934675326atural > produc7822875418678951345atural ) > set_Pr2352657477744078772atural > set_Pr7564037697178849041atural ).

thf(func_def_2522,type,
    image_4799632500972785611it_nat: ( produc6714399278180371524it_nat > option3216581401566546698it_nat ) > set_Pr5142436192348053284it_nat > set_op3940070208846178154it_nat ).

thf(func_def_2523,type,
    image_15228131989405757et_nat: ( produc3658429121746597890et_nat > set_Pr3286484037609594932et_nat ) > set_Pr3948176798113811640et_nat > set_se8543413830569400298et_nat ).

thf(func_def_2524,type,
    image_5561579847027142576nt_o_o: ( product_prod_int_o > $o ) > set_Pr903927857289325719_int_o > set_o ).

thf(func_def_2525,type,
    image_90517134139374612_o_int: ( product_prod_int_o > int ) > set_Pr903927857289325719_int_o > set_int ).

thf(func_def_2526,type,
    image_5042161079198086560nt_int: ( product_prod_int_int > int ) > set_Pr958786334691620121nt_int > set_int ).

thf(func_def_2527,type,
    image_2653370878348428101nt_int: ( product_prod_int_int > product_prod_int_int ) > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2528,type,
    image_5963362749323609783nt_int: ( product_prod_int_int > set_Pr1872883991513573699nt_int ) > set_Pr958786334691620121nt_int > set_se7394616247590735609nt_int ).

thf(func_def_2529,type,
    image_815654828163180973nt_int: ( product_prod_int_int > set_Pr9222295170931077689nt_int ) > set_Pr958786334691620121nt_int > set_se2364587433798273647nt_int ).

thf(func_def_2530,type,
    image_2855239504505064772at_int: ( product_prod_int_nat > int ) > set_Pr3448869479623346877nt_nat > set_int ).

thf(func_def_2531,type,
    image_2857729975014115048at_nat: ( product_prod_int_nat > nat ) > set_Pr3448869479623346877nt_nat > set_nat ).

thf(func_def_2532,type,
    image_4873634598471238286um_int: ( product_prod_int_num > int ) > set_Pr8387461105917469447nt_num > set_int ).

thf(func_def_2533,type,
    image_7478392465989118804at_o_o: ( product_prod_nat_o > $o ) > set_Pr3149072824959771635_nat_o > set_o ).

thf(func_def_2534,type,
    image_8629803608462650132_o_nat: ( product_prod_nat_o > nat ) > set_Pr3149072824959771635_nat_o > set_nat ).

thf(func_def_2535,type,
    image_4670507518961241924nt_int: ( product_prod_nat_int > int ) > set_Pr7995236796853374141at_int > set_int ).

thf(func_def_2536,type,
    image_4672997989470292200nt_nat: ( product_prod_nat_int > nat ) > set_Pr7995236796853374141at_int > set_nat ).

thf(func_def_2537,type,
    image_202211252889950930er_int: ( product_prod_nat_int > produc2256096406371053034er_int ) > set_Pr7995236796853374141at_int > set_Pr6496905503482889930er_int ).

thf(func_def_2538,type,
    image_9117352539549038149at_int: ( product_prod_nat_int > product_prod_nat_int ) > set_Pr7995236796853374141at_int > set_Pr7995236796853374141at_int ).

thf(func_def_2539,type,
    image_2972642778337070200_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr5582243495563764594_nat_o ).

thf(func_def_2540,type,
    image_3693632289388996572_nat_o: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > set_o ).

thf(func_def_2541,type,
    image_2483585944268220136at_int: ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > set_int ).

thf(func_def_2542,type,
    image_2486076414777270412at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_2543,type,
    image_1023191801488348454on_num: ( product_prod_nat_nat > option_num ) > set_Pr1261947904930325089at_nat > set_option_num ).

thf(func_def_2544,type,
    image_4198897800814241419at_nat: ( product_prod_nat_nat > option4927543243414619207at_nat ) > set_Pr1261947904930325089at_nat > set_op4508134149509766951at_nat ).

thf(func_def_2545,type,
    image_5755308894823448084it_nat: ( product_prod_nat_nat > option8956607266484857688it_nat ) > set_Pr1261947904930325089at_nat > set_op239864471688321678it_nat ).

thf(func_def_2546,type,
    image_7548311901266006551t_unit: ( product_prod_nat_nat > option_Product_unit ) > set_Pr1261947904930325089at_nat > set_op3165557761946182707t_unit ).

thf(func_def_2547,type,
    image_7383884694314771602et_nat: ( product_prod_nat_nat > option_set_nat ) > set_Pr1261947904930325089at_nat > set_option_set_nat ).

thf(func_def_2548,type,
    image_5669961043262023647nteger: ( product_prod_nat_nat > produc8923325533196201883nteger ) > set_Pr1261947904930325089at_nat > set_Pr4811707699266497531nteger ).

thf(func_def_2549,type,
    image_6418031315350042158er_int: ( product_prod_nat_nat > produc2256096406371053034er_int ) > set_Pr1261947904930325089at_nat > set_Pr6496905503482889930er_int ).

thf(func_def_2550,type,
    image_1372510298004463058er_nat: ( product_prod_nat_nat > produc6433947425880249742er_nat ) > set_Pr1261947904930325089at_nat > set_Pr8986988648414616686er_nat ).

thf(func_def_2551,type,
    image_7125204100594322862nteger: ( product_prod_nat_nat > produc2963269191615333738nteger ) > set_Pr1261947904930325089at_nat > set_Pr8415741480598773322nteger ).

thf(func_def_2552,type,
    image_1990417195239315453nt_int: ( product_prod_nat_nat > product_prod_int_int ) > set_Pr1261947904930325089at_nat > set_Pr958786334691620121nt_int ).

thf(func_def_2553,type,
    image_6168268214748512161nt_nat: ( product_prod_nat_nat > product_prod_int_nat ) > set_Pr1261947904930325089at_nat > set_Pr3448869479623346877nt_nat ).

thf(func_def_2554,type,
    image_6753550540357478226nteger: ( product_prod_nat_nat > produc2591615631378489102nteger ) > set_Pr1261947904930325089at_nat > set_Pr2406931829603198446nteger ).

thf(func_def_2555,type,
    image_991063483338260897at_int: ( product_prod_nat_nat > product_prod_nat_int ) > set_Pr1261947904930325089at_nat > set_Pr7995236796853374141at_int ).

thf(func_def_2556,type,
    image_5168914502847457605at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2557,type,
    image_4566292076127975857et_nat: ( product_prod_nat_nat > produc7819656566062154093et_nat ) > set_Pr1261947904930325089at_nat > set_Pr5488025237498180813et_nat ).

thf(func_def_2558,type,
    image_6169909464789311569t_unit: ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > set_Product_unit ).

thf(func_def_2559,type,
    image_5061345727057949854et_int: ( product_prod_nat_nat > set_int ) > set_Pr1261947904930325089at_nat > set_set_int ).

thf(func_def_2560,type,
    image_15824709712370754et_nat: ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > set_set_nat ).

thf(func_def_2561,type,
    image_5423882813909314213at_nat: ( product_prod_nat_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).

thf(func_def_2562,type,
    image_4504471508743443926um_nat: ( product_prod_nat_num > nat ) > set_Pr6200539531224447659at_num > set_nat ).

thf(func_def_2563,type,
    image_5261730836495542980at_nat: ( produc3839731585411834681it_nat > nat ) > set_Pr633603713510679705it_nat > set_nat ).

thf(func_def_2564,type,
    image_7255662321850427333et_nat: ( produc4962441903510821572_nat_o > produc2732055786443039994et_nat ) > set_Pr7705059561495379578_nat_o > set_Pr8536935166611901872et_nat ).

thf(func_def_2565,type,
    image_8159590125932948193nteger: ( produc998928222018024388e_term > produc1908205239877642774nteger ) > set_Pr1628540301243981434e_term > set_Pr1281608226676607948nteger ).

thf(func_def_2566,type,
    image_4501728140019976901et_nat: ( produc6907119039986491712_nat_o > produc3925858234332021118et_nat ) > set_Pr4208978187861016310_nat_o > set_Pr3286484037609594932et_nat ).

thf(func_def_2567,type,
    image_1292712855239066845nt_int: ( produc3832618445565238089e_term > produc7773217078559923341nt_int ) > set_Pr9020418513037773311e_term > set_Pr1872883991513573699nt_int ).

thf(func_def_2568,type,
    image_1640129903684976221nt_int: ( produc1821397396195235155e_term > produc2285326912895808259nt_int ) > set_Pr7309386651551657097e_term > set_Pr9222295170931077689nt_int ).

thf(func_def_2569,type,
    image_7418169580930627696at_nat: ( produc9082142974458947146at_num > product_prod_nat_nat ) > set_Pr7477759153910077568at_num > set_Pr1261947904930325089at_nat ).

thf(func_def_2570,type,
    image_3455408117458022631it_nat: ( produc8664842809031399944it_nat > option8956607266484857688it_nat ) > set_Pr1354866905816374718it_nat > set_op239864471688321678it_nat ).

thf(func_def_2571,type,
    image_3500134854233901558_nat_o: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat > set_o ).

thf(func_def_2572,type,
    image_3196035031069704014at_int: ( produc3843707927480180839at_nat > int ) > set_Pr4329608150637261639at_nat > set_int ).

thf(func_def_2573,type,
    image_3198525501578754290at_nat: ( produc3843707927480180839at_nat > nat ) > set_Pr4329608150637261639at_nat > set_nat ).

thf(func_def_2574,type,
    image_8464016542990802060on_num: ( produc3843707927480180839at_nat > option_num ) > set_Pr4329608150637261639at_nat > set_option_num ).

thf(func_def_2575,type,
    image_140351626946063738it_nat: ( produc3843707927480180839at_nat > option8956607266484857688it_nat ) > set_Pr4329608150637261639at_nat > set_op239864471688321678it_nat ).

thf(func_def_2576,type,
    image_8585598761158579761t_unit: ( produc3843707927480180839at_nat > option_Product_unit ) > set_Pr4329608150637261639at_nat > set_op3165557761946182707t_unit ).

thf(func_def_2577,type,
    image_934083234596377592et_nat: ( produc3843707927480180839at_nat > option_set_nat ) > set_Pr4329608150637261639at_nat > set_option_set_nat ).

thf(func_def_2578,type,
    image_7082456443403096939t_unit: ( produc3843707927480180839at_nat > product_unit ) > set_Pr4329608150637261639at_nat > set_Product_unit ).

thf(func_def_2579,type,
    image_3160451284896210088et_nat: ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > set_set_nat ).

thf(func_def_2580,type,
    image_7979982168039674559at_nat: ( produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ) > set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat ).

thf(func_def_2581,type,
    image_3815118110082124069nteger: ( product_unit > code_integer ) > set_Product_unit > set_Code_integer ).

thf(func_def_2582,type,
    image_873079544045703924it_int: ( product_unit > int ) > set_Product_unit > set_int ).

thf(func_def_2583,type,
    image_875570014554754200it_nat: ( product_unit > nat ) > set_Product_unit > set_nat ).

thf(func_def_2584,type,
    image_5965367930834091826on_num: ( product_unit > option_num ) > set_Product_unit > set_option_num ).

thf(func_def_2585,type,
    image_5022536681399171104it_nat: ( product_unit > option8956607266484857688it_nat ) > set_Product_unit > set_op239864471688321678it_nat ).

thf(func_def_2586,type,
    image_7094380055901048587t_unit: ( product_unit > option_Product_unit ) > set_Product_unit > set_op3165557761946182707t_unit ).

thf(func_def_2587,type,
    image_8089323762101378259nteger: ( product_unit > produc8923325533196201883nteger ) > set_Product_unit > set_Pr4811707699266497531nteger ).

thf(func_def_2588,type,
    image_220848230107539526atural: ( product_unit > produc5835291356934675326atural ) > set_Product_unit > set_Pr2352657477744078772atural ).

thf(func_def_2589,type,
    image_4103462098156874993nt_int: ( product_unit > product_prod_int_int ) > set_Product_unit > set_Pr958786334691620121nt_int ).

thf(func_def_2590,type,
    image_7281959405765017145at_nat: ( product_unit > product_prod_nat_nat ) > set_Product_unit > set_Pr1261947904930325089at_nat ).

thf(func_def_2591,type,
    image_405062704495631173t_unit: ( product_unit > product_unit ) > set_Product_unit > set_Product_unit ).

thf(func_def_2592,type,
    image_rat_rat: ( rat > rat ) > set_rat > set_rat ).

thf(func_def_2593,type,
    image_838307146230912995et_nat: ( set_nat > option_set_nat ) > set_set_nat > set_option_set_nat ).

thf(func_def_2594,type,
    image_1744818337813142478_int_o: ( set_Pr1872883991513573699nt_int > ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > set_se7394616247590735609nt_int > set_in8474487674441654202_int_o ).

thf(func_def_2595,type,
    image_3377504002992083726eger_o: ( set_Pr1281608226676607948nteger > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > set_se124295367203800706nteger > set_Pr8914822823351560561eger_o ).

thf(func_def_2596,type,
    image_6856364241397052896_nat_o: ( set_Pr8536935166611901872et_nat > ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > set_se5120235452707311462et_nat > set_Pr1457143144315775327_nat_o ).

thf(func_def_2597,type,
    image_1071233342602175200_nat_o: ( set_Pr3286484037609594932et_nat > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > set_se8543413830569400298et_nat > set_Pr8208987589773510107_nat_o ).

thf(func_def_2598,type,
    image_5684251269295653582_int_o: ( set_Pr9222295170931077689nt_int > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > set_se2364587433798273647nt_int > set_Pr5050529186185961540_int_o ).

thf(func_def_2599,type,
    image_6923511907955291850_nat_o: ( set_Pr1261947904930325089at_nat > nat > nat > $o ) > set_se7855581050983116737at_nat > set_nat_nat_o ).

thf(func_def_2600,type,
    image_6898982319499645995at_nat: ( set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat ) > set_se7855581050983116737at_nat > set_se5479201105039950375at_nat ).

thf(func_def_2601,type,
    image_6595146019508340652_nat_o: ( set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_se5479201105039950375at_nat > set_se9180647916752606350_nat_o ).

thf(func_def_2602,type,
    insert_o: $o > set_o > set_o ).

thf(func_def_2603,type,
    insert_Code_integer: code_integer > set_Code_integer > set_Code_integer ).

thf(func_def_2604,type,
    insert_int: int > set_int > set_int ).

thf(func_def_2605,type,
    insert_list_nat: list_nat > set_list_nat > set_list_nat ).

thf(func_def_2606,type,
    insert_nat: nat > set_nat > set_nat ).

thf(func_def_2607,type,
    insert_num: num > set_num > set_num ).

thf(func_def_2608,type,
    insert_option_o: option_o > set_option_o > set_option_o ).

thf(func_def_2609,type,
    insert_option_int: option_int > set_option_int > set_option_int ).

thf(func_def_2610,type,
    insert_option_nat: option_nat > set_option_nat > set_option_nat ).

thf(func_def_2611,type,
    insert_option_num: option_num > set_option_num > set_option_num ).

thf(func_def_2612,type,
    insert7468008629046257882it_nat: option3216581401566546698it_nat > set_op3940070208846178154it_nat > set_op3940070208846178154it_nat ).

thf(func_def_2613,type,
    insert6842972033726296599at_nat: option4927543243414619207at_nat > set_op4508134149509766951at_nat > set_op4508134149509766951at_nat ).

thf(func_def_2614,type,
    insert2007652293347934600it_nat: option8956607266484857688it_nat > set_op239864471688321678it_nat > set_op239864471688321678it_nat ).

thf(func_def_2615,type,
    insert6833468608972679677at_nat: option8699557107911914541at_nat > set_op989438649584373901at_nat > set_op989438649584373901at_nat ).

thf(func_def_2616,type,
    insert2866144167138965411t_unit: option_Product_unit > set_op3165557761946182707t_unit > set_op3165557761946182707t_unit ).

thf(func_def_2617,type,
    insert6281397740311767046et_nat: option_set_nat > set_option_set_nat > set_option_set_nat ).

thf(func_def_2618,type,
    insert750232675644355261nt_int: produc7773217078559923341nt_int > set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int ).

thf(func_def_2619,type,
    insert4245756632806152262nteger: produc1908205239877642774nteger > set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger ).

thf(func_def_2620,type,
    insert8297122186708525866et_nat: produc2732055786443039994et_nat > set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat ).

thf(func_def_2621,type,
    insert3111075074545270702et_nat: produc3925858234332021118et_nat > set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat ).

thf(func_def_2622,type,
    insert984290209421517107nt_int: produc2285326912895808259nt_int > set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int ).

thf(func_def_2623,type,
    insert6201435330877294327od_o_o: product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o ).

thf(func_def_2624,type,
    insert3770363720049103139_o_int: product_prod_o_int > set_Pr8834758594704517033_o_int > set_Pr8834758594704517033_o_int ).

thf(func_def_2625,type,
    insert7948214739558299847_o_nat: product_prod_o_nat > set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat ).

thf(func_def_2626,type,
    insert8656458676507137553_o_num: product_prod_o_num > set_Pr7040061329075590551_o_num > set_Pr7040061329075590551_o_num ).

thf(func_def_2627,type,
    insert6915099157023601407it_nat: produc2900562427881843919it_nat > set_Pr6777250647868329861it_nat > set_Pr6777250647868329861it_nat ).

thf(func_def_2628,type,
    insert4913895101485356395nteger: produc8923325533196201883nteger > set_Pr4811707699266497531nteger > set_Pr4811707699266497531nteger ).

thf(func_def_2629,type,
    insert6505218763252461998atural: produc5835291356934675326atural > set_Pr2352657477744078772atural > set_Pr2352657477744078772atural ).

thf(func_def_2630,type,
    insert412334881326329105_int_o: product_prod_int_o > set_Pr903927857289325719_int_o > set_Pr903927857289325719_int_o ).

thf(func_def_2631,type,
    insert5033312907999012233nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2632,type,
    insert9211163927508208941nt_nat: product_prod_int_nat > set_Pr3448869479623346877nt_nat > set_Pr3448869479623346877nt_nat ).

thf(func_def_2633,type,
    insert696035827602270839nt_num: product_prod_int_num > set_Pr8387461105917469447nt_num > set_Pr8387461105917469447nt_num ).

thf(func_def_2634,type,
    insert2233377226759017069_nat_o: product_prod_nat_o > set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o ).

thf(func_def_2635,type,
    insert4033959196097957677at_int: product_prod_nat_int > set_Pr7995236796853374141at_int > set_Pr7995236796853374141at_int ).

thf(func_def_2636,type,
    insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2637,type,
    insert8920054152555992091at_num: product_prod_nat_num > set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num ).

thf(func_def_2638,type,
    insert2528233410557839625it_nat: produc3839731585411834681it_nat > set_Pr633603713510679705it_nat > set_Pr633603713510679705it_nat ).

thf(func_def_2639,type,
    insert2126339615020983374_nat_o: produc652263959640188542_nat_o > set_Pr6558897299634722526_nat_o > set_Pr6558897299634722526_nat_o ).

thf(func_def_2640,type,
    insert2790150385885543546at_num: produc9082142974458947146at_num > set_Pr7477759153910077568at_num > set_Pr7477759153910077568at_num ).

thf(func_def_2641,type,
    insert5050368324300391991at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).

thf(func_def_2642,type,
    insert398606708087465655at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat ).

thf(func_def_2643,type,
    insert5940566491043231800it_nat: produc8664842809031399944it_nat > set_Pr1354866905816374718it_nat > set_Pr1354866905816374718it_nat ).

thf(func_def_2644,type,
    insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2645,type,
    insert_Product_unit: product_unit > set_Product_unit > set_Product_unit ).

thf(func_def_2646,type,
    insert_rat: rat > set_rat > set_rat ).

thf(func_def_2647,type,
    insert9200635055090092081at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).

thf(func_def_2648,type,
    set_fo1959793692361082170t_assn: ( nat > assn > assn ) > nat > nat > assn > assn ).

thf(func_def_2649,type,
    set_fo1084959871951514735nteger: ( nat > code_integer > code_integer ) > nat > nat > code_integer > code_integer ).

thf(func_def_2650,type,
    set_fo9131927060563008058atural: ( nat > code_natural > code_natural ) > nat > nat > code_natural > code_natural ).

thf(func_def_2651,type,
    set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).

thf(func_def_2652,type,
    set_fo4497565046347964853at_nat: ( nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ) > nat > nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_2653,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(func_def_2654,type,
    set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).

thf(func_def_2655,type,
    set_fo3699595496184130361el_nat: produc4471711990508489141at_nat > produc4471711990508489141at_nat > $o ).

thf(func_def_2656,type,
    set_or8904488021354931149Most_o: $o > $o > set_o ).

thf(func_def_2657,type,
    set_or7959216805967363635t_assn: assn > assn > set_assn ).

thf(func_def_2658,type,
    set_or189985376899183464nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_2659,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(func_def_2660,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(func_def_2661,type,
    set_or7049704709247886629st_num: num > num > set_num ).

thf(func_def_2662,type,
    set_or5692540242118139586t_unit: product_unit > product_unit > set_Product_unit ).

thf(func_def_2663,type,
    set_or633870826150836451st_rat: rat > rat > set_rat ).

thf(func_def_2664,type,
    set_or266616469461849773_set_o: set_o > set_o > set_set_o ).

thf(func_def_2665,type,
    set_or370866239135849197et_int: set_int > set_int > set_set_int ).

thf(func_def_2666,type,
    set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_2667,type,
    set_or2784603332384507286at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).

thf(func_def_2668,type,
    set_or4049648398082403068at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat ).

thf(func_def_2669,type,
    set_or269330187037242274t_unit: set_Product_unit > set_Product_unit > set_set_Product_unit ).

thf(func_def_2670,type,
    set_or7139685690850216873Than_o: $o > $o > set_o ).

thf(func_def_2671,type,
    set_or8404916559141939852nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_2672,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(func_def_2673,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(func_def_2674,type,
    set_or1222409239386451017an_num: num > num > set_num ).

thf(func_def_2675,type,
    set_or4663484573592751262t_unit: product_unit > product_unit > set_Product_unit ).

thf(func_def_2676,type,
    set_or4029947393144176647an_rat: rat > rat > set_rat ).

thf(func_def_2677,type,
    set_or3540276404033026485et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_2678,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(func_def_2679,type,
    set_ord_atMost_o: $o > set_o ).

thf(func_def_2680,type,
    set_ord_atMost_assn: assn > set_assn ).

thf(func_def_2681,type,
    set_or9101266186257409494nteger: code_integer > set_Code_integer ).

thf(func_def_2682,type,
    set_ord_atMost_int: int > set_int ).

thf(func_def_2683,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(func_def_2684,type,
    set_ord_atMost_num: num > set_num ).

thf(func_def_2685,type,
    set_or8621721900777396692t_unit: product_unit > set_Product_unit ).

thf(func_def_2686,type,
    set_ord_atMost_rat: rat > set_rat ).

thf(func_def_2687,type,
    set_ord_atMost_set_o: set_o > set_set_o ).

thf(func_def_2688,type,
    set_or58775011639299419et_int: set_int > set_set_int ).

thf(func_def_2689,type,
    set_or4236626031148496127et_nat: set_nat > set_set_nat ).

thf(func_def_2690,type,
    set_or2762583123196137896at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).

thf(func_def_2691,type,
    set_or4071486571221009422at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat ).

thf(func_def_2692,type,
    set_or2827140217781692084t_unit: set_Product_unit > set_set_Product_unit ).

thf(func_def_2693,type,
    set_or2715278749043346189nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_2694,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(func_def_2695,type,
    set_or6659071591806873216st_nat: nat > nat > set_nat ).

thf(func_def_2696,type,
    set_or1716231572884733764Than_o: $o > $o > set_o ).

thf(func_def_2697,type,
    set_or4266950643985792945nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_2698,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(func_def_2699,type,
    set_or5834768355832116004an_nat: nat > nat > set_nat ).

thf(func_def_2700,type,
    set_or2392100141987894638an_num: num > num > set_num ).

thf(func_def_2701,type,
    set_or5199638295745620268an_rat: rat > rat > set_rat ).

thf(func_def_2702,type,
    set_or8625682525731655386et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_2703,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(func_def_2704,type,
    set_ord_lessThan_o: $o > set_o ).

thf(func_def_2705,type,
    set_or5754767410780653050nteger: code_integer > set_Code_integer ).

thf(func_def_2706,type,
    set_ord_lessThan_int: int > set_int ).

thf(func_def_2707,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(func_def_2708,type,
    set_ord_lessThan_num: num > set_num ).

thf(func_def_2709,type,
    set_or8708608758551125680t_unit: product_unit > set_Product_unit ).

thf(func_def_2710,type,
    set_ord_lessThan_rat: rat > set_rat ).

thf(func_def_2711,type,
    set_or3489638696441961371_set_o: set_o > set_set_o ).

thf(func_def_2712,type,
    set_or5935648273017318783et_int: set_int > set_set_int ).

thf(func_def_2713,type,
    set_or890127255671739683et_nat: set_nat > set_set_nat ).

thf(func_def_2714,type,
    set_or5243998310507771012at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).

thf(func_def_2715,type,
    set_or2137699863726836970at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat ).

thf(func_def_2716,type,
    set_or3324826255835560848t_unit: set_Product_unit > set_set_Product_unit ).

thf(func_def_2717,type,
    char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).

thf(func_def_2718,type,
    integer_of_char: char > code_integer ).

thf(func_def_2719,type,
    sum_Inl_nat_nat: nat > sum_sum_nat_nat ).

thf(func_def_2720,type,
    sum_Inr_nat_nat: nat > sum_sum_nat_nat ).

thf(func_def_2721,type,
    syntax5678989248478167196nt_int: int > int > $o ).

thf(func_def_2722,type,
    syntax5084084251851430274at_nat: multis2468970476368604999at_nat > multis2468970476368604999at_nat > $o ).

thf(func_def_2723,type,
    syntax4682126007086162916at_nat: nat > nat > $o ).

thf(func_def_2724,type,
    syntax3730441303064801268at_rat: rat > rat > $o ).

thf(func_def_2725,type,
    time_fails_array_a: heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit > $o ).

thf(func_def_2726,type,
    time_f8834461667527620124t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > $o ).

thf(func_def_2727,type,
    time_t490086488869527696rray_a: heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ).

thf(func_def_2728,type,
    time_t3350536682685678164t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ).

thf(func_def_2729,type,
    time_the_res_array_a: heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit > array_a ).

thf(func_def_2730,type,
    time_t2745601220510131320t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > product_unit ).

thf(func_def_2731,type,
    time_time_array_a: heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit > nat ).

thf(func_def_2732,type,
    time_t4224138285095624986t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > nat ).

thf(func_def_2733,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2734,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2735,type,
    type_d8366093980585677751er_int: ( code_integer > int ) > ( int > code_integer ) > set_int > $o ).

thf(func_def_2736,type,
    type_d4410041424927559462al_nat: ( code_natural > nat ) > ( nat > code_natural ) > set_nat > $o ).

thf(func_def_2737,type,
    type_d6188575255521822967unit_o: ( product_unit > $o ) > ( $o > product_unit ) > set_o > $o ).

thf(func_def_2738,type,
    accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).

thf(func_def_2739,type,
    accp_nat: ( nat > nat > $o ) > nat > $o ).

thf(func_def_2740,type,
    accp_P8928870874622223812nt_int: ( produc7773217078559923341nt_int > produc7773217078559923341nt_int > $o ) > produc7773217078559923341nt_int > $o ).

thf(func_def_2741,type,
    accp_P6019419558468335806at_nat: ( produc4471711990508489141at_nat > produc4471711990508489141at_nat > $o ) > produc4471711990508489141at_nat > $o ).

thf(func_def_2742,type,
    accp_P1862375125659990705et_nat: ( produc2732055786443039994et_nat > produc2732055786443039994et_nat > $o ) > produc2732055786443039994et_nat > $o ).

thf(func_def_2743,type,
    accp_P8126237942716283194atural: ( produc7822875418678951345atural > produc7822875418678951345atural > $o ) > produc7822875418678951345atural > $o ).

thf(func_def_2744,type,
    accp_P5801069581201407417et_nat: ( produc3658429121746597890et_nat > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2745,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_2746,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_2747,type,
    accp_P8948468358075348838it_nat: ( produc2867611627572283311it_nat > produc2867611627572283311it_nat > $o ) > produc2867611627572283311it_nat > $o ).

thf(func_def_2748,type,
    accp_P414730952086964626it_nat: ( produc3911288613690379145it_nat > produc3911288613690379145it_nat > $o ) > produc3911288613690379145it_nat > $o ).

thf(func_def_2749,type,
    accp_P3113834385874906142um_num: ( product_prod_num_num > product_prod_num_num > $o ) > product_prod_num_num > $o ).

thf(func_def_2750,type,
    finite2416775604798480986nteger: set_Pr7577011563204128103nteger ).

thf(func_def_2751,type,
    finite_psubset_int: set_Pr2522554150109002629et_int ).

thf(func_def_2752,type,
    finite_psubset_nat: set_Pr5488025237498180813et_nat ).

thf(func_def_2753,type,
    finite469560695537375940at_nat: set_Pr4329608150637261639at_nat ).

thf(func_def_2754,type,
    less_than: set_Pr1261947904930325089at_nat ).

thf(func_def_2755,type,
    lex_pr7234932505866811047nt_int: set_Pr7140365069852192003e_term > set_Pr2560585780119916871nt_int > set_Pr8634505666381077339nt_int ).

thf(func_def_2756,type,
    lex_pr3763927252266284464nteger: set_Pr6418322821503574069e_term > set_Pr5052581263052047815nteger > set_Pr1722956316086891245nteger ).

thf(func_def_2757,type,
    lex_pr4722427456421979612et_nat: set_Pr2161125870931222855_nat_o > set_Pr7928877670098842301et_nat > set_Pr3444600963470892981et_nat ).

thf(func_def_2758,type,
    lex_pr5340572901959109728et_nat: set_Pr2161125870931222855_nat_o > set_Pr719794911490849221et_nat > set_Pr7928877670098842301et_nat ).

thf(func_def_2759,type,
    lex_pr4548132154224949661nt_int: set_Pr4675205556198584599e_term > set_Pr2560585780119916871nt_int > set_Pr4708930517165415495nt_int ).

thf(func_def_2760,type,
    lex_prod_nat_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat ).

thf(func_def_2761,type,
    lex_pr4265550801952275104at_nat: set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat > set_Pr2072254264782222413at_nat ).

thf(func_def_2762,type,
    lex_pr1951919194703979714at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr5070339090747523585at_nat ).

thf(func_def_2763,type,
    lex_pr8000699672184251119at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat ).

thf(func_def_2764,type,
    max_ext_o: set_Product_prod_o_o > set_Pr4577759397028426247_set_o ).

thf(func_def_2765,type,
    max_ext_Code_integer: set_Pr4811707699266497531nteger > set_Pr7577011563204128103nteger ).

thf(func_def_2766,type,
    max_ext_int: set_Pr958786334691620121nt_int > set_Pr2522554150109002629et_int ).

thf(func_def_2767,type,
    max_ext_nat: set_Pr1261947904930325089at_nat > set_Pr5488025237498180813et_nat ).

thf(func_def_2768,type,
    max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2769,type,
    max_ex8833738776070432290at_nat: set_Pr5564308138774400199at_nat > set_Pr7459493094073627847at_nat ).

thf(func_def_2770,type,
    max_ex4535816423174879388at_nat: set_Pr4329608150637261639at_nat > set_Pr1604112560894399303at_nat ).

thf(func_def_2771,type,
    max_extp_nat: ( nat > nat > $o ) > set_nat > set_nat > $o ).

thf(func_def_2772,type,
    max_ex4864111882549613972at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_2773,type,
    max_ex4845989503969680116at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o ).

thf(func_def_2774,type,
    measure_nat: ( nat > nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2775,type,
    measur1827424007717751593at_nat: ( set_Pr1261947904930325089at_nat > nat ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2776,type,
    min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2777,type,
    mlex_prod_nat: ( nat > nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2778,type,
    mlex_p3502713205431853936at_nat: ( set_Pr1261947904930325089at_nat > nat ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2779,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_2780,type,
    same_f6662725367016992042nt_int: ( ( int > option6357759511663192854e_term ) > $o ) > ( ( int > option6357759511663192854e_term ) > set_Pr2560585780119916871nt_int ) > set_Pr8634505666381077339nt_int ).

thf(func_def_2781,type,
    same_f8038803414157382067nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > $o ) > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > set_Pr5052581263052047815nteger ) > set_Pr1722956316086891245nteger ).

thf(func_def_2782,type,
    same_f1912051055550046943et_nat: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( ( produc3658429121746597890et_nat > $o ) > set_Pr7928877670098842301et_nat ) > set_Pr3444600963470892981et_nat ).

thf(func_def_2783,type,
    same_f7251492184213700963et_nat: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( ( produc3658429121746597890et_nat > $o ) > set_Pr719794911490849221et_nat ) > set_Pr7928877670098842301et_nat ).

thf(func_def_2784,type,
    same_f5472592420709775776nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > $o ) > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > set_Pr2560585780119916871nt_int ) > set_Pr4708930517165415495nt_int ).

thf(func_def_2785,type,
    same_fst_nat_nat: ( nat > $o ) > ( nat > set_Pr1261947904930325089at_nat ) > set_Pr8693737435421807431at_nat ).

thf(func_def_2786,type,
    member2790140394383616496nteger: ( code_integer > code_integer ) > set_Co726186806682698383nteger > $o ).

thf(func_def_2787,type,
    member8845023287901829240e_term: ( int > option6357759511663192854e_term ) > set_in3461395444621081367e_term > $o ).

thf(func_def_2788,type,
    member7306185171444233115_nat_o: ( int > produc7360885484439884007_nat_o ) > set_in2553536192574375378_nat_o > $o ).

thf(func_def_2789,type,
    member2248416676132969167nteger: ( int > produc8923325533196201883nteger ) > set_in2260935666578096390nteger > $o ).

thf(func_def_2790,type,
    member3292482584629245920atural: ( int > produc5835291356934675326atural ) > set_in1345054734626228863atural > $o ).

thf(func_def_2791,type,
    member254662033361028077nt_int: ( int > product_prod_int_int ) > set_in6154042108061588260nt_int > $o ).

thf(func_def_2792,type,
    member1326526067935671339nteger: ( nat > produc8923325533196201883nteger ) > set_na3661387095409732706nteger > $o ).

thf(func_def_2793,type,
    member528921174545443716atural: ( nat > produc5835291356934675326atural ) > set_na2454399383705037859atural > $o ).

thf(func_def_2794,type,
    member6440191985751670089nt_int: ( nat > product_prod_int_int ) > set_na7251125088705586816nt_int > $o ).

thf(func_def_2795,type,
    member4242434998011752849e_term: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > set_Pr7604974323444597168e_term > $o ).

thf(func_def_2796,type,
    member6576561426505652726_nat_o: ( produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_2797,type,
    member3222579708246209666e_term: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > set_Pr3642885161833720865e_term > $o ).

thf(func_def_2798,type,
    member2006080708140975699_nat_o: ( product_prod_nat_nat > $o ) > set_Pr5582243495563764594_nat_o > $o ).

thf(func_def_2799,type,
    member2837767709637065162nteger: ( product_unit > produc8923325533196201883nteger ) > set_Pr9591959067864425nteger > $o ).

thf(func_def_2800,type,
    member4946248492122881829atural: ( product_unit > produc5835291356934675326atural ) > set_Pr7322412474522714716atural > $o ).

thf(func_def_2801,type,
    member5541948317052402408nt_int: ( product_unit > product_prod_int_int ) > set_Pr3770298976803184519nt_int > $o ).

thf(func_def_2802,type,
    member_o: $o > set_o > $o ).

thf(func_def_2803,type,
    member_Code_integer: code_integer > set_Code_integer > $o ).

thf(func_def_2804,type,
    member_Code_natural: code_natural > set_Code_natural > $o ).

thf(func_def_2805,type,
    member_int: int > set_int > $o ).

thf(func_def_2806,type,
    member_list_nat: list_nat > set_list_nat > $o ).

thf(func_def_2807,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_2808,type,
    member_num: num > set_num > $o ).

thf(func_def_2809,type,
    member_option_o: option_o > set_option_o > $o ).

thf(func_def_2810,type,
    member_option_int: option_int > set_option_int > $o ).

thf(func_def_2811,type,
    member_option_nat: option_nat > set_option_nat > $o ).

thf(func_def_2812,type,
    member_option_num: option_num > set_option_num > $o ).

thf(func_def_2813,type,
    member3517700364412436275it_nat: option3216581401566546698it_nat > set_op3940070208846178154it_nat > $o ).

thf(func_def_2814,type,
    member3954567711264315760at_nat: option4927543243414619207at_nat > set_op4508134149509766951at_nat > $o ).

thf(func_def_2815,type,
    member5596548051065438575it_nat: option8956607266484857688it_nat > set_op239864471688321678it_nat > $o ).

thf(func_def_2816,type,
    member4288423094740844502at_nat: option8699557107911914541at_nat > set_op989438649584373901at_nat > $o ).

thf(func_def_2817,type,
    member1378114217278917244t_unit: option_Product_unit > set_op3165557761946182707t_unit > $o ).

thf(func_def_2818,type,
    member8989860449721436141et_nat: option_set_nat > set_option_set_nat > $o ).

thf(func_def_2819,type,
    member6538663773838357324e_term: produc1945540942535730339e_term > set_Pr7140365069852192003e_term > $o ).

thf(func_def_2820,type,
    member7034335876925520548nt_int: produc7773217078559923341nt_int > set_Pr1872883991513573699nt_int > $o ).

thf(func_def_2821,type,
    member6786453453753086846e_term: produc8187290932660736981e_term > set_Pr6418322821503574069e_term > $o ).

thf(func_def_2822,type,
    member4164122664394876845nteger: produc1908205239877642774nteger > set_Pr1281608226676607948nteger > $o ).

thf(func_def_2823,type,
    member8781333585448626064_nat_o: produc4928098042776334183_nat_o > set_Pr2161125870931222855_nat_o > $o ).

thf(func_def_2824,type,
    member6124377750444531601et_nat: produc2732055786443039994et_nat > set_Pr8536935166611901872et_nat > $o ).

thf(func_def_2825,type,
    member1996754912294343701et_nat: produc3925858234332021118et_nat > set_Pr3286484037609594932et_nat > $o ).

thf(func_def_2826,type,
    member8796044733138646368e_term: produc4499399687821757879e_term > set_Pr4675205556198584599e_term > $o ).

thf(func_def_2827,type,
    member7618704894036264090nt_int: produc2285326912895808259nt_int > set_Pr9222295170931077689nt_int > $o ).

thf(func_def_2828,type,
    member7466972457876170832od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).

thf(func_def_2829,type,
    member7847949116333733898_o_int: product_prod_o_int > set_Pr8834758594704517033_o_int > $o ).

thf(func_def_2830,type,
    member2802428098988154798_o_nat: product_prod_o_nat > set_Pr2101469702781467981_o_nat > $o ).

thf(func_def_2831,type,
    member157494554546826820nteger: produc8923325533196201883nteger > set_Pr4811707699266497531nteger > $o ).

thf(func_def_2832,type,
    member8280416476884352090atural: produc7822875418678951345atural > set_Pr7564037697178849041atural > $o ).

thf(func_def_2833,type,
    member2108296798382401941atural: produc5835291356934675326atural > set_Pr2352657477744078772atural > $o ).

thf(func_def_2834,type,
    member6260224972018164377et_nat: produc3658429121746597890et_nat > set_Pr3948176798113811640et_nat > $o ).

thf(func_def_2835,type,
    member4489920277610959864_int_o: product_prod_int_o > set_Pr903927857289325719_int_o > $o ).

thf(func_def_2836,type,
    member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_2837,type,
    member216504246829706758nt_nat: product_prod_int_nat > set_Pr3448869479623346877nt_nat > $o ).

thf(func_def_2838,type,
    member6689249552917799696at_nat: produc4166570645942440679at_nat > set_Pr8551490117392284871at_nat > $o ).

thf(func_def_2839,type,
    member6310962623043647828_nat_o: product_prod_nat_o > set_Pr3149072824959771635_nat_o > $o ).

thf(func_def_2840,type,
    member4262671552274231302at_int: product_prod_nat_int > set_Pr7995236796853374141at_int > $o ).

thf(func_def_2841,type,
    member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_2842,type,
    member4085533954029916580nt_int: produc2501202720802129403nt_int > set_Pr8634505666381077339nt_int > $o ).

thf(func_def_2843,type,
    member2446009503569356342nteger: produc824974754969098637nteger > set_Pr1722956316086891245nteger > $o ).

thf(func_def_2844,type,
    member6341495586645257982et_nat: produc5657529347773406293et_nat > set_Pr3444600963470892981et_nat > $o ).

thf(func_def_2845,type,
    member4763271486408492550et_nat: produc6830853553727218525et_nat > set_Pr7928877670098842301et_nat > $o ).

thf(func_def_2846,type,
    member6582457606847315088nt_int: produc2432570611225516007nt_int > set_Pr4708930517165415495nt_int > $o ).

thf(func_def_2847,type,
    member335077259223437328nteger: produc3334582477557816039nteger > set_Pr5052581263052047815nteger > $o ).

thf(func_def_2848,type,
    member6099555550032318734et_nat: produc8111630337999740517et_nat > set_Pr719794911490849221et_nat > $o ).

thf(func_def_2849,type,
    member8566619992076573584nt_int: produc1219242969750017639nt_int > set_Pr2560585780119916871nt_int > $o ).

thf(func_def_2850,type,
    member2200362271989506215_nat_o: produc652263959640188542_nat_o > set_Pr6558897299634722526_nat_o > $o ).

thf(func_def_2851,type,
    member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).

thf(func_def_2852,type,
    member4107301959146914710at_nat: produc2714363965264676845at_nat > set_Pr2072254264782222413at_nat > $o ).

thf(func_def_2853,type,
    member3480088626692287306at_nat: produc2087150632810049441at_nat > set_Pr5070339090747523585at_nat > $o ).

thf(func_def_2854,type,
    member6009668390874684176at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > $o ).

thf(func_def_2855,type,
    member3421417852355157663it_nat: produc8664842809031399944it_nat > set_Pr1354866905816374718it_nat > $o ).

thf(func_def_2856,type,
    member9116954335612470352_set_o: produc7369051934464679207_set_o > set_Pr4577759397028426247_set_o > $o ).

thf(func_def_2857,type,
    member4307123515891402160nteger: produc6491284506569428743nteger > set_Pr7577011563204128103nteger > $o ).

thf(func_def_2858,type,
    member2572552093476627150et_int: produc2115011035271226405et_int > set_Pr2522554150109002629et_int > $o ).

thf(func_def_2859,type,
    member8277197624267554838et_nat: produc7819656566062154093et_nat > set_Pr5488025237498180813et_nat > $o ).

thf(func_def_2860,type,
    member444158400953824016od_o_o: produc2934264451710624999od_o_o > set_Pr1932065953672099015od_o_o > $o ).

thf(func_def_2861,type,
    member4095101504841534314at_nat: produc732395585841259969at_nat > set_Pr457366540195662369at_nat > $o ).

thf(func_def_2862,type,
    member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_2863,type,
    member1466754251312161552at_nat: produc1319942482725812455at_nat > set_Pr7459493094073627847at_nat > $o ).

thf(func_def_2864,type,
    member4300370950623927696at_nat: produc7299876168958306407at_nat > set_Pr1604112560894399303at_nat > $o ).

thf(func_def_2865,type,
    member_Product_unit: product_unit > set_Product_unit > $o ).

thf(func_def_2866,type,
    member_rat: rat > set_rat > $o ).

thf(func_def_2867,type,
    member_set_o: set_o > set_set_o > $o ).

thf(func_def_2868,type,
    member1834298987299537450nteger: set_Code_integer > set_set_Code_integer > $o ).

thf(func_def_2869,type,
    member_set_int: set_int > set_set_int > $o ).

thf(func_def_2870,type,
    member_set_list_nat: set_list_nat > set_set_list_nat > $o ).

thf(func_def_2871,type,
    member_set_nat: set_nat > set_set_nat > $o ).

thf(func_def_2872,type,
    member2643936169264416010at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > $o ).

thf(func_def_2873,type,
    member5877623283571906838t_unit: set_Product_unit > set_set_Product_unit > $o ).

thf(func_def_2874,type,
    h: heap_e7401611519738050253t_unit ).

thf(func_def_2875,type,
    xs: list_a ).

thf(func_def_2894,type,
    sP0: ( option3216581401566546698it_nat > option8956607266484857688it_nat > $o ) > option3216581401566546698it_nat > option8956607266484857688it_nat > $o ).

thf(func_def_2895,type,
    sP1: ( option3216581401566546698it_nat > option8956607266484857688it_nat > $o ) > option3216581401566546698it_nat > option8956607266484857688it_nat > $o ).

thf(func_def_2896,type,
    sP2: ( option3216581401566546698it_nat > option_num > $o ) > option_num > option3216581401566546698it_nat > $o ).

thf(func_def_2897,type,
    sP3: ( option3216581401566546698it_nat > option_num > $o ) > option_num > option3216581401566546698it_nat > $o ).

thf(func_def_2898,type,
    sP4: ( option3216581401566546698it_nat > option3216581401566546698it_nat > $o ) > option3216581401566546698it_nat > option3216581401566546698it_nat > $o ).

thf(func_def_2899,type,
    sP5: ( option3216581401566546698it_nat > option3216581401566546698it_nat > $o ) > option3216581401566546698it_nat > option3216581401566546698it_nat > $o ).

thf(func_def_2900,type,
    sP6: ( option_num > option3216581401566546698it_nat > $o ) > option_num > option3216581401566546698it_nat > $o ).

thf(func_def_2901,type,
    sP7: ( option_num > option3216581401566546698it_nat > $o ) > option_num > option3216581401566546698it_nat > $o ).

thf(func_def_2902,type,
    sP8: ( option8956607266484857688it_nat > option3216581401566546698it_nat > $o ) > option8956607266484857688it_nat > option3216581401566546698it_nat > $o ).

thf(func_def_2903,type,
    sP9: ( option8956607266484857688it_nat > option3216581401566546698it_nat > $o ) > option8956607266484857688it_nat > option3216581401566546698it_nat > $o ).

thf(func_def_2904,type,
    sK10: option3216581401566546698it_nat > produc6714399278180371524it_nat ).

thf(func_def_2905,type,
    sK11: ( option3216581401566546698it_nat > option8956607266484857688it_nat > $o ) > option3216581401566546698it_nat > option8956607266484857688it_nat > produc8664842809031399944it_nat ).

thf(func_def_2906,type,
    sK12: ( option3216581401566546698it_nat > option8956607266484857688it_nat > $o ) > option3216581401566546698it_nat > option8956607266484857688it_nat > produc6714399278180371524it_nat ).

thf(func_def_2907,type,
    sK13: ( option3216581401566546698it_nat > option_num > $o ) > option_num > option3216581401566546698it_nat > num ).

thf(func_def_2908,type,
    sK14: ( option3216581401566546698it_nat > option_num > $o ) > option_num > option3216581401566546698it_nat > produc6714399278180371524it_nat ).

thf(func_def_2909,type,
    sK15: ( option3216581401566546698it_nat > option3216581401566546698it_nat > $o ) > option3216581401566546698it_nat > option3216581401566546698it_nat > produc6714399278180371524it_nat ).

thf(func_def_2910,type,
    sK16: ( option3216581401566546698it_nat > option3216581401566546698it_nat > $o ) > option3216581401566546698it_nat > option3216581401566546698it_nat > produc6714399278180371524it_nat ).

thf(func_def_2911,type,
    sK17: option3216581401566546698it_nat > produc6714399278180371524it_nat ).

thf(func_def_2912,type,
    sK18: heap_e7401611519738050253t_unit > heap_T6362127782908069795rray_a > array_a ).

thf(func_def_2913,type,
    sK19: heap_e7401611519738050253t_unit > heap_T6362127782908069795rray_a > produc6653097349344004940it_nat ).

thf(func_def_2914,type,
    sK20: ( option_num > option3216581401566546698it_nat > $o ) > option_num > option3216581401566546698it_nat > produc6714399278180371524it_nat ).

thf(func_def_2915,type,
    sK21: ( option_num > option3216581401566546698it_nat > $o ) > option_num > option3216581401566546698it_nat > num ).

thf(func_def_2916,type,
    sK22: option3216581401566546698it_nat > produc6714399278180371524it_nat ).

thf(func_def_2917,type,
    sK23: ( option8956607266484857688it_nat > option3216581401566546698it_nat > $o ) > option8956607266484857688it_nat > option3216581401566546698it_nat > produc6714399278180371524it_nat ).

thf(func_def_2918,type,
    sK24: ( option8956607266484857688it_nat > option3216581401566546698it_nat > $o ) > option8956607266484857688it_nat > option3216581401566546698it_nat > produc8664842809031399944it_nat ).

thf(func_def_2919,type,
    sK25: heap_T6362127782908069795rray_a > heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit ).

thf(func_def_2920,type,
    sK26: heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit > array_a ).

thf(func_def_2921,type,
    sK27: heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit > produc6653097349344004940it_nat ).

thf(f18108,plain,
    $false,
    inference(equality_resolution,[],[f18081]) ).

thf(f18081,plain,
    ! [X0: list_a,X1: heap_e7401611519738050253t_unit] :
      ( ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h )
     != ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ X0 ) @ X1 ) ),
    inference(equality_proxy_clausification,[],[f18080]) ).

thf(f18080,plain,
    ! [X0: list_a,X1: heap_e7401611519738050253t_unit] :
      ( ( ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ X0 ) @ X1 )
        = ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h ) )
      = $false ),
    inference(not_proxy_clausification,[],[f18079]) ).

thf(f18079,plain,
    ! [X0: list_a,X1: heap_e7401611519738050253t_unit] :
      ( $true
      = ( ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ X0 ) @ X1 )
       != ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h ) ) ),
    inference(beta_eta_normalization,[],[f18070]) ).

thf(f18070,plain,
    ! [X0: list_a,X1: heap_e7401611519738050253t_unit] :
      ( $true
      = ( ^ [Y0: heap_T6362127782908069795rray_a,Y1: heap_e7401611519738050253t_unit] :
            ( ( heap_T5591663578999710211rray_a @ Y0 @ Y1 )
           != ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h ) )
        @ ( array_of_list_a @ X0 )
        @ X1 ) ),
    inference(definition_unfolding,[],[f18044,f18057]) ).

thf(f18057,plain,
    ( heap_T6932021131025641745rray_a
    = ( ^ [Y0: heap_T6362127782908069795rray_a,Y1: heap_e7401611519738050253t_unit] :
          ( ( heap_T5591663578999710211rray_a @ Y0 @ Y1 )
         != ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h ) ) ) ),
    inference(definition_unfolding,[],[f18009,f18041]) ).

thf(f18041,plain,
    ( none_P2587165478634041381it_nat
    = ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h ) ),
    inference(cnf_transformation,[],[f17922]) ).

thf(f17922,plain,
    ( none_P2587165478634041381it_nat
    = ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h ) ),
    inference(flattening,[],[f8004]) ).

thf(f8004,negated_conjecture,
    ~ ( ( none_P2587165478634041381it_nat
       != ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h ) ) ),
    inference(negated_conjecture,[],[f8003]) ).

thf(f8003,conjecture,
    ( none_P2587165478634041381it_nat
   != ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f18009,plain,
    ( heap_T6932021131025641745rray_a
    = ( ^ [Y0: heap_T6362127782908069795rray_a,Y1: heap_e7401611519738050253t_unit] :
          ( ( heap_T5591663578999710211rray_a @ Y0 @ Y1 )
         != none_P2587165478634041381it_nat ) ) ),
    inference(cnf_transformation,[],[f9669]) ).

thf(f9669,plain,
    ( heap_T6932021131025641745rray_a
    = ( ^ [Y0: heap_T6362127782908069795rray_a,Y1: heap_e7401611519738050253t_unit] :
          ( ( heap_T5591663578999710211rray_a @ Y0 @ Y1 )
         != none_P2587165478634041381it_nat ) ) ),
    inference(fool_elimination,[],[f9668]) ).

thf(f9668,plain,
    ( ( ^ [X0: heap_T6362127782908069795rray_a,X1: heap_e7401611519738050253t_unit] :
          ( ( heap_T5591663578999710211rray_a @ X0 @ X1 )
         != none_P2587165478634041381it_nat ) )
    = heap_T6932021131025641745rray_a ),
    inference(rectify,[],[f13]) ).

thf(f13,axiom,
    ( ( ^ [X10: heap_T6362127782908069795rray_a,X1: heap_e7401611519738050253t_unit] :
          ( none_P2587165478634041381it_nat
         != ( heap_T5591663578999710211rray_a @ X10 @ X1 ) ) )
    = heap_T6932021131025641745rray_a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_success__def) ).

thf(f18044,plain,
    ! [X0: list_a,X1: heap_e7401611519738050253t_unit] :
      ( $true
      = ( heap_T6932021131025641745rray_a @ ( array_of_list_a @ X0 ) @ X1 ) ),
    inference(cnf_transformation,[],[f9977]) ).

thf(f9977,plain,
    ! [X0: list_a,X1: heap_e7401611519738050253t_unit] :
      ( $true
      = ( heap_T6932021131025641745rray_a @ ( array_of_list_a @ X0 ) @ X1 ) ),
    inference(fool_elimination,[],[f9976]) ).

thf(f9976,plain,
    ! [X0: list_a,X1: heap_e7401611519738050253t_unit] : ( heap_T6932021131025641745rray_a @ ( array_of_list_a @ X0 ) @ X1 ),
    inference(rectify,[],[f46]) ).

thf(f46,axiom,
    ! [X17: list_a,X8: heap_e7401611519738050253t_unit] : ( heap_T6932021131025641745rray_a @ ( array_of_list_a @ X17 ) @ X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_success__of__listI) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ITP216^3 : TPTP v8.2.0. Released v8.1.0.
% 0.03/0.13  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 01:39:53 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a TH0_THM_EQU_NAR problem
% 0.20/0.36  Running higher-order theorem proving
% 0.20/0.36  Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.58/0.81  % (1396)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2995ds/27Mi)
% 0.58/0.81  % (1394)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2995ds/183Mi)
% 0.58/0.81  % (1397)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2995ds/2Mi)
% 0.58/0.81  % (1398)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2995ds/2Mi)
% 0.58/0.81  % (1399)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2995ds/275Mi)
% 0.58/0.81  % (1400)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2995ds/18Mi)
% 0.58/0.81  % (1397)Instruction limit reached!
% 0.58/0.81  % (1397)------------------------------
% 0.58/0.81  % (1397)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.58/0.81  % (1397)Termination reason: Unknown
% 0.58/0.81  % (1397)Termination phase: shuffling
% 0.58/0.81  
% 0.58/0.81  % (1397)Memory used [KB]: 13432
% 0.58/0.81  % (1397)Time elapsed: 0.004 s
% 0.58/0.81  % (1397)Instructions burned: 2 (million)
% 0.58/0.81  % (1397)------------------------------
% 0.58/0.81  % (1397)------------------------------
% 0.58/0.81  % (1398)Instruction limit reached!
% 0.58/0.81  % (1398)------------------------------
% 0.58/0.81  % (1398)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.58/0.81  % (1398)Termination reason: Unknown
% 0.58/0.81  % (1398)Termination phase: shuffling
% 0.58/0.81  
% 0.58/0.81  % (1398)Memory used [KB]: 13432
% 0.58/0.81  % (1398)Time elapsed: 0.004 s
% 0.58/0.81  % (1398)Instructions burned: 2 (million)
% 0.58/0.81  % (1398)------------------------------
% 0.58/0.81  % (1398)------------------------------
% 0.58/0.82  % (1395)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2995ds/4Mi)
% 0.58/0.83  % (1395)Instruction limit reached!
% 0.58/0.83  % (1395)------------------------------
% 0.58/0.83  % (1395)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.58/0.83  % (1395)Termination reason: Unknown
% 0.58/0.83  % (1395)Termination phase: shuffling
% 0.58/0.83  
% 0.58/0.83  % (1395)Memory used [KB]: 13688
% 0.58/0.83  % (1395)Time elapsed: 0.011 s
% 0.58/0.83  % (1395)Instructions burned: 4 (million)
% 0.58/0.83  % (1395)------------------------------
% 0.58/0.83  % (1395)------------------------------
% 0.69/0.83  % (1401)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2995ds/3Mi)
% 0.69/0.83  % (1402)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2995ds/37Mi)
% 0.69/0.83  % (1400)Instruction limit reached!
% 0.69/0.83  % (1400)------------------------------
% 0.69/0.83  % (1400)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.69/0.83  % (1400)Termination reason: Unknown
% 0.69/0.83  % (1400)Termination phase: shuffling
% 0.69/0.83  
% 0.69/0.83  % (1400)Memory used [KB]: 14200
% 0.69/0.83  % (1400)Time elapsed: 0.024 s
% 0.69/0.83  % (1400)Instructions burned: 18 (million)
% 0.69/0.83  % (1400)------------------------------
% 0.69/0.83  % (1400)------------------------------
% 0.69/0.83  % (1401)Instruction limit reached!
% 0.69/0.83  % (1401)------------------------------
% 0.69/0.83  % (1401)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.69/0.83  % (1401)Termination reason: Unknown
% 0.69/0.83  % (1401)Termination phase: shuffling
% 0.69/0.83  
% 0.69/0.83  % (1401)Memory used [KB]: 13560
% 0.69/0.83  % (1401)Time elapsed: 0.006 s
% 0.69/0.83  % (1401)Instructions burned: 3 (million)
% 0.69/0.83  % (1401)------------------------------
% 0.69/0.83  % (1401)------------------------------
% 0.69/0.84  % (1396)Instruction limit reached!
% 0.69/0.84  % (1396)------------------------------
% 0.69/0.84  % (1396)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.69/0.84  % (1396)Termination reason: Unknown
% 0.69/0.84  % (1396)Termination phase: shuffling
% 0.69/0.84  
% 0.69/0.84  % (1396)Memory used [KB]: 14328
% 0.69/0.84  % (1396)Time elapsed: 0.031 s
% 0.69/0.84  % (1396)Instructions burned: 27 (million)
% 0.69/0.84  % (1396)------------------------------
% 0.69/0.84  % (1396)------------------------------
% 0.69/0.84  % (1403)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2995ds/15Mi)
% 0.69/0.85  % (1404)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2995ds/3Mi)
% 0.69/0.85  % (1405)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2995ds/1041Mi)
% 0.69/0.85  % (1404)Instruction limit reached!
% 0.69/0.85  % (1404)------------------------------
% 0.69/0.85  % (1404)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.69/0.85  % (1404)Termination reason: Unknown
% 0.69/0.85  % (1404)Termination phase: shuffling
% 0.69/0.85  
% 0.69/0.85  % (1404)Memory used [KB]: 13560
% 0.69/0.85  % (1404)Time elapsed: 0.007 s
% 0.69/0.85  % (1404)Instructions burned: 3 (million)
% 0.69/0.85  % (1404)------------------------------
% 0.69/0.85  % (1404)------------------------------
% 0.69/0.86  % (1406)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2995ds/7Mi)
% 0.69/0.86  % (1402)Instruction limit reached!
% 0.69/0.86  % (1402)------------------------------
% 0.69/0.86  % (1402)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.69/0.86  % (1402)Termination reason: Unknown
% 0.69/0.86  % (1402)Termination phase: shuffling
% 0.69/0.86  
% 0.69/0.86  % (1402)Memory used [KB]: 14583
% 0.69/0.86  % (1402)Time elapsed: 0.033 s
% 0.69/0.86  % (1402)Instructions burned: 37 (million)
% 0.69/0.86  % (1402)------------------------------
% 0.69/0.86  % (1402)------------------------------
% 0.69/0.87  % (1403)Instruction limit reached!
% 0.69/0.87  % (1403)------------------------------
% 0.69/0.87  % (1403)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.69/0.87  % (1403)Termination reason: Unknown
% 0.69/0.87  % (1403)Termination phase: shuffling
% 0.69/0.87  
% 0.69/0.87  % (1403)Memory used [KB]: 14200
% 0.69/0.87  % (1403)Time elapsed: 0.023 s
% 0.69/0.87  % (1403)Instructions burned: 16 (million)
% 0.69/0.87  % (1403)------------------------------
% 0.69/0.87  % (1403)------------------------------
% 0.69/0.87  % (1406)Instruction limit reached!
% 0.69/0.87  % (1406)------------------------------
% 0.69/0.87  % (1406)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.69/0.87  % (1406)Termination reason: Unknown
% 0.69/0.87  % (1406)Termination phase: shuffling
% 0.69/0.87  
% 0.69/0.87  % (1406)Memory used [KB]: 13944
% 0.69/0.87  % (1406)Time elapsed: 0.015 s
% 0.69/0.87  % (1406)Instructions burned: 7 (million)
% 0.69/0.87  % (1406)------------------------------
% 0.69/0.87  % (1406)------------------------------
% 0.91/0.87  % (1407)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2995ds/16Mi)
% 0.91/0.88  % (1408)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2995ds/3Mi)
% 0.91/0.88  % (1408)Instruction limit reached!
% 0.91/0.88  % (1408)------------------------------
% 0.91/0.88  % (1408)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.91/0.88  % (1408)Termination reason: Unknown
% 0.91/0.88  % (1408)Termination phase: shuffling
% 0.91/0.88  
% 0.91/0.88  % (1408)Memory used [KB]: 13560
% 0.91/0.88  % (1408)Time elapsed: 0.006 s
% 0.91/0.88  % (1408)Instructions burned: 3 (million)
% 0.91/0.88  % (1408)------------------------------
% 0.91/0.88  % (1408)------------------------------
% 0.91/0.88  % (1409)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2995ds/3Mi)
% 0.91/0.89  % (1410)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2995ds/7Mi)
% 0.91/0.89  % (1409)Instruction limit reached!
% 0.91/0.89  % (1409)------------------------------
% 0.91/0.89  % (1409)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.91/0.89  % (1409)Termination reason: Unknown
% 0.91/0.89  % (1409)Termination phase: shuffling
% 0.91/0.89  
% 0.91/0.89  % (1409)Memory used [KB]: 13560
% 0.91/0.89  % (1409)Time elapsed: 0.006 s
% 0.91/0.89  % (1409)Instructions burned: 3 (million)
% 0.91/0.89  % (1409)------------------------------
% 0.91/0.89  % (1409)------------------------------
% 0.91/0.89  % (1407)Instruction limit reached!
% 0.91/0.89  % (1407)------------------------------
% 0.91/0.89  % (1407)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.91/0.89  % (1407)Termination reason: Unknown
% 0.91/0.89  % (1407)Termination phase: shuffling
% 0.91/0.89  
% 0.91/0.89  % (1407)Memory used [KB]: 14200
% 0.91/0.89  % (1407)Time elapsed: 0.023 s
% 0.91/0.89  % (1407)Instructions burned: 17 (million)
% 0.91/0.89  % (1407)------------------------------
% 0.91/0.89  % (1407)------------------------------
% 0.91/0.89  % (1411)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2994ds/3Mi)
% 0.91/0.90  % (1411)Instruction limit reached!
% 0.91/0.90  % (1411)------------------------------
% 0.91/0.90  % (1411)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.91/0.90  % (1411)Termination reason: Unknown
% 0.91/0.90  % (1411)Termination phase: shuffling
% 0.91/0.90  
% 0.91/0.90  % (1411)Memory used [KB]: 13560
% 0.91/0.90  % (1411)Time elapsed: 0.004 s
% 0.91/0.90  % (1411)Instructions burned: 3 (million)
% 0.91/0.90  % (1411)------------------------------
% 0.91/0.90  % (1411)------------------------------
% 0.91/0.90  % (1410)Instruction limit reached!
% 0.91/0.90  % (1410)------------------------------
% 0.91/0.90  % (1410)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.91/0.90  % (1410)Termination reason: Unknown
% 0.91/0.90  % (1410)Termination phase: shuffling
% 0.91/0.90  
% 0.91/0.90  % (1410)Memory used [KB]: 13944
% 0.91/0.90  % (1410)Time elapsed: 0.015 s
% 0.91/0.90  % (1410)Instructions burned: 7 (million)
% 0.91/0.90  % (1410)------------------------------
% 0.91/0.90  % (1410)------------------------------
% 0.91/0.91  % (1414)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2994ds/710Mi)
% 0.91/0.91  % (1412)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2994ds/4Mi)
% 0.91/0.91  % (1413)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2994ds/18Mi)
% 0.91/0.91  % (1412)Instruction limit reached!
% 0.91/0.91  % (1412)------------------------------
% 0.91/0.91  % (1412)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.91/0.91  % (1412)Termination reason: Unknown
% 0.91/0.91  % (1412)Termination phase: shuffling
% 0.91/0.91  
% 0.91/0.91  % (1412)Memory used [KB]: 13688
% 0.91/0.91  % (1412)Time elapsed: 0.008 s
% 0.91/0.91  % (1412)Instructions burned: 4 (million)
% 0.91/0.91  % (1412)------------------------------
% 0.91/0.91  % (1412)------------------------------
% 0.91/0.92  % (1415)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2994ds/6Mi)
% 0.91/0.93  % (1415)Instruction limit reached!
% 0.91/0.93  % (1415)------------------------------
% 0.91/0.93  % (1415)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.91/0.93  % (1415)Termination reason: Unknown
% 0.91/0.93  % (1415)Termination phase: shuffling
% 0.91/0.93  
% 0.91/0.93  % (1415)Memory used [KB]: 13816
% 0.91/0.93  % (1415)Time elapsed: 0.012 s
% 0.91/0.93  % (1415)Instructions burned: 6 (million)
% 0.91/0.93  % (1415)------------------------------
% 0.91/0.93  % (1415)------------------------------
% 0.91/0.93  % (1416)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2994ds/902Mi)
% 0.91/0.93  % (1413)Instruction limit reached!
% 0.91/0.93  % (1413)------------------------------
% 0.91/0.93  % (1413)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.91/0.93  % (1413)Termination reason: Unknown
% 0.91/0.93  % (1413)Termination phase: shuffling
% 0.91/0.93  
% 0.91/0.93  % (1413)Memory used [KB]: 14328
% 0.91/0.93  % (1413)Time elapsed: 0.024 s
% 0.91/0.93  % (1413)Instructions burned: 19 (million)
% 0.91/0.93  % (1413)------------------------------
% 0.91/0.93  % (1413)------------------------------
% 1.13/0.94  % (1394)Instruction limit reached!
% 1.13/0.94  % (1394)------------------------------
% 1.13/0.94  % (1394)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.13/0.94  % (1394)Termination reason: Unknown
% 1.13/0.94  % (1394)Termination phase: shuffling
% 1.13/0.94  
% 1.13/0.94  % (1394)Memory used [KB]: 16758
% 1.13/0.94  % (1394)Time elapsed: 0.132 s
% 1.13/0.94  % (1394)Instructions burned: 183 (million)
% 1.13/0.94  % (1394)------------------------------
% 1.13/0.94  % (1394)------------------------------
% 1.13/0.94  % (1417)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2994ds/21Mi)
% 1.13/0.95  % (1418)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2994ds/5Mi)
% 1.13/0.95  % (1419)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2994ds/6Mi)
% 1.13/0.95  % (1418)Instruction limit reached!
% 1.13/0.95  % (1418)------------------------------
% 1.13/0.95  % (1418)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.13/0.95  % (1418)Termination reason: Unknown
% 1.13/0.95  % (1418)Termination phase: shuffling
% 1.13/0.95  
% 1.13/0.95  % (1418)Memory used [KB]: 13688
% 1.13/0.95  % (1418)Time elapsed: 0.007 s
% 1.13/0.95  % (1418)Instructions burned: 5 (million)
% 1.13/0.95  % (1418)------------------------------
% 1.13/0.95  % (1418)------------------------------
% 1.13/0.96  % (1419)Instruction limit reached!
% 1.13/0.96  % (1419)------------------------------
% 1.13/0.96  % (1419)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.13/0.96  % (1419)Termination reason: Unknown
% 1.13/0.96  % (1419)Termination phase: shuffling
% 1.13/0.96  
% 1.13/0.96  % (1419)Memory used [KB]: 13816
% 1.13/0.96  % (1419)Time elapsed: 0.009 s
% 1.13/0.96  % (1419)Instructions burned: 6 (million)
% 1.13/0.96  % (1419)------------------------------
% 1.13/0.96  % (1419)------------------------------
% 1.13/0.96  % (1417)Instruction limit reached!
% 1.13/0.96  % (1417)------------------------------
% 1.13/0.96  % (1417)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.13/0.96  % (1417)Termination reason: Unknown
% 1.13/0.96  % (1417)Termination phase: shuffling
% 1.13/0.96  
% 1.13/0.96  % (1417)Memory used [KB]: 14328
% 1.13/0.96  % (1417)Time elapsed: 0.017 s
% 1.13/0.96  % (1417)Instructions burned: 22 (million)
% 1.13/0.96  % (1417)------------------------------
% 1.13/0.96  % (1417)------------------------------
% 1.39/0.97  % (1420)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2994ds/377Mi)
% 1.39/0.97  % (1421)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2994ds/779Mi)
% 1.39/0.97  % (1422)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2994ds/19Mi)
% 1.39/0.98  % (1399)Instruction limit reached!
% 1.39/0.98  % (1399)------------------------------
% 1.39/0.98  % (1399)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.39/0.98  % (1399)Termination reason: Unknown
% 1.39/0.98  % (1399)Termination phase: shuffling
% 1.39/0.98  
% 1.39/0.98  % (1399)Memory used [KB]: 18293
% 1.39/0.98  % (1399)Time elapsed: 0.170 s
% 1.39/0.98  % (1399)Instructions burned: 277 (million)
% 1.39/0.98  % (1399)------------------------------
% 1.39/0.98  % (1399)------------------------------
% 1.39/0.98  % (1422)Instruction limit reached!
% 1.39/0.98  % (1422)------------------------------
% 1.39/0.98  % (1422)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.39/0.98  % (1422)Termination reason: Unknown
% 1.39/0.98  % (1422)Termination phase: shuffling
% 1.39/0.98  
% 1.39/0.98  % (1422)Memory used [KB]: 14200
% 1.39/0.98  % (1422)Time elapsed: 0.015 s
% 1.39/0.98  % (1422)Instructions burned: 19 (million)
% 1.39/0.98  % (1422)------------------------------
% 1.39/0.98  % (1422)------------------------------
% 1.39/0.99  % (1423)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2993ds/879Mi)
% 1.39/1.00  % (1424)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2993ds/17Mi)
% 1.39/1.01  % (1424)Instruction limit reached!
% 1.39/1.01  % (1424)------------------------------
% 1.39/1.01  % (1424)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.39/1.01  % (1424)Termination reason: Unknown
% 1.39/1.01  % (1424)Termination phase: shuffling
% 1.39/1.01  
% 1.39/1.01  % (1424)Memory used [KB]: 14200
% 1.39/1.01  % (1424)Time elapsed: 0.016 s
% 1.39/1.01  % (1424)Instructions burned: 18 (million)
% 1.39/1.01  % (1424)------------------------------
% 1.39/1.01  % (1424)------------------------------
% 1.39/1.02  % (1425)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2993ds/3Mi)
% 1.63/1.02  % (1425)Instruction limit reached!
% 1.63/1.02  % (1425)------------------------------
% 1.63/1.02  % (1425)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.63/1.02  % (1425)Termination reason: Unknown
% 1.63/1.02  % (1425)Termination phase: shuffling
% 1.63/1.02  
% 1.63/1.02  % (1425)Memory used [KB]: 13560
% 1.63/1.02  % (1425)Time elapsed: 0.004 s
% 1.63/1.02  % (1425)Instructions burned: 3 (million)
% 1.63/1.02  % (1425)------------------------------
% 1.63/1.02  % (1425)------------------------------
% 1.63/1.04  % (1426)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2993ds/30Mi)
% 1.63/1.05  % (1426)Instruction limit reached!
% 1.63/1.05  % (1426)------------------------------
% 1.63/1.05  % (1426)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.63/1.05  % (1426)Termination reason: Unknown
% 1.63/1.05  % (1426)Termination phase: shuffling
% 1.63/1.05  
% 1.63/1.05  % (1426)Memory used [KB]: 14328
% 1.63/1.05  % (1426)Time elapsed: 0.021 s
% 1.63/1.05  % (1426)Instructions burned: 32 (million)
% 1.63/1.05  % (1426)------------------------------
% 1.63/1.05  % (1426)------------------------------
% 1.63/1.07  % (1427)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2993ds/127Mi)
% 2.45/1.12  % (1420)Instruction limit reached!
% 2.45/1.12  % (1420)------------------------------
% 2.45/1.12  % (1420)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.45/1.12  % (1420)Termination reason: Unknown
% 2.45/1.12  % (1420)Termination phase: shuffling
% 2.45/1.12  
% 2.45/1.12  % (1420)Memory used [KB]: 19573
% 2.45/1.12  % (1420)Time elapsed: 0.156 s
% 2.45/1.12  % (1420)Instructions burned: 379 (million)
% 2.45/1.12  % (1420)------------------------------
% 2.45/1.12  % (1420)------------------------------
% 2.45/1.12  % (1427)Instruction limit reached!
% 2.45/1.12  % (1427)------------------------------
% 2.45/1.12  % (1427)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.45/1.12  % (1427)Termination reason: Unknown
% 2.45/1.12  % (1427)Termination phase: shuffling
% 2.45/1.12  
% 2.45/1.12  % (1427)Memory used [KB]: 15863
% 2.45/1.12  % (1427)Time elapsed: 0.057 s
% 2.45/1.12  % (1427)Instructions burned: 127 (million)
% 2.45/1.12  % (1427)------------------------------
% 2.45/1.12  % (1427)------------------------------
% 2.45/1.13  % (1428)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2992ds/100Mi)
% 2.45/1.13  % (1429)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2992ds/3Mi)
% 2.45/1.14  % (1429)Instruction limit reached!
% 2.45/1.14  % (1429)------------------------------
% 2.45/1.14  % (1429)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.45/1.14  % (1429)Termination reason: Unknown
% 2.45/1.14  % (1429)Termination phase: shuffling
% 2.45/1.14  
% 2.45/1.14  % (1429)Memory used [KB]: 13560
% 2.45/1.14  % (1429)Time elapsed: 0.005 s
% 2.45/1.14  % (1429)Instructions burned: 3 (million)
% 2.45/1.14  % (1429)------------------------------
% 2.45/1.14  % (1429)------------------------------
% 3.00/1.15  % (1430)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2992ds/20Mi)
% 3.00/1.16  % (1430)Instruction limit reached!
% 3.00/1.16  % (1430)------------------------------
% 3.00/1.16  % (1430)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.00/1.16  % (1430)Termination reason: Unknown
% 3.00/1.16  % (1430)Termination phase: shuffling
% 3.00/1.16  
% 3.00/1.16  % (1430)Memory used [KB]: 14328
% 3.00/1.16  % (1430)Time elapsed: 0.017 s
% 3.00/1.16  % (1430)Instructions burned: 20 (million)
% 3.00/1.16  % (1430)------------------------------
% 3.00/1.16  % (1430)------------------------------
% 3.00/1.16  % (1414)Instruction limit reached!
% 3.00/1.16  % (1414)------------------------------
% 3.00/1.16  % (1414)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.00/1.16  % (1414)Termination reason: Unknown
% 3.00/1.16  % (1414)Termination phase: Property scanning
% 3.00/1.16  
% 3.00/1.16  % (1414)Memory used [KB]: 24434
% 3.00/1.16  % (1414)Time elapsed: 0.259 s
% 3.00/1.16  % (1414)Instructions burned: 712 (million)
% 3.00/1.16  % (1414)------------------------------
% 3.00/1.16  % (1414)------------------------------
% 3.00/1.17  % (1428)Instruction limit reached!
% 3.00/1.17  % (1428)------------------------------
% 3.00/1.17  % (1428)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.00/1.17  % (1428)Termination reason: Unknown
% 3.00/1.17  % (1428)Termination phase: shuffling
% 3.00/1.17  
% 3.00/1.17  % (1428)Memory used [KB]: 15479
% 3.00/1.17  % (1428)Time elapsed: 0.041 s
% 3.00/1.17  % (1428)Instructions burned: 102 (million)
% 3.00/1.17  % (1428)------------------------------
% 3.00/1.17  % (1428)------------------------------
% 3.00/1.18  % (1431)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2992ds/86Mi)
% 3.00/1.18  % (1432)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2992ds/107Mi)
% 3.28/1.18  % (1433)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2991ds/39Mi)
% 3.28/1.20  % (1433)Instruction limit reached!
% 3.28/1.20  % (1433)------------------------------
% 3.28/1.20  % (1433)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.28/1.20  % (1433)Termination reason: Unknown
% 3.28/1.20  % (1433)Termination phase: shuffling
% 3.28/1.20  
% 3.28/1.20  % (1433)Memory used [KB]: 14583
% 3.28/1.20  % (1433)Time elapsed: 0.022 s
% 3.28/1.20  % (1433)Instructions burned: 39 (million)
% 3.28/1.20  % (1433)------------------------------
% 3.28/1.20  % (1433)------------------------------
% 3.28/1.22  % (1431)Instruction limit reached!
% 3.28/1.22  % (1431)------------------------------
% 3.28/1.22  % (1431)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.28/1.22  % (1431)Termination reason: Unknown
% 3.28/1.22  % (1431)Termination phase: shuffling
% 3.28/1.22  
% 3.28/1.22  % (1431)Memory used [KB]: 15223
% 3.28/1.22  % (1431)Time elapsed: 0.042 s
% 3.28/1.22  % (1431)Instructions burned: 88 (million)
% 3.28/1.22  % (1431)------------------------------
% 3.28/1.22  % (1431)------------------------------
% 3.28/1.22  % (1434)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2991ds/448Mi)
% 3.28/1.22  % (1432)Instruction limit reached!
% 3.28/1.22  % (1432)------------------------------
% 3.28/1.22  % (1432)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.28/1.22  % (1432)Termination reason: Unknown
% 3.28/1.22  % (1432)Termination phase: shuffling
% 3.28/1.22  
% 3.28/1.22  % (1432)Memory used [KB]: 15607
% 3.28/1.22  % (1432)Time elapsed: 0.045 s
% 3.28/1.22  % (1432)Instructions burned: 108 (million)
% 3.28/1.22  % (1432)------------------------------
% 3.28/1.22  % (1432)------------------------------
% 3.28/1.23  % (1435)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2991ds/46Mi)
% 3.28/1.23  % (1436)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2991ds/98Mi)
% 3.28/1.23  % (1421)Instruction limit reached!
% 3.28/1.23  % (1421)------------------------------
% 3.28/1.23  % (1421)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.28/1.23  % (1421)Termination reason: Unknown
% 3.28/1.23  % (1421)Termination phase: shuffling
% 3.28/1.23  
% 3.28/1.23  % (1421)Memory used [KB]: 31982
% 3.28/1.23  % (1421)Time elapsed: 0.267 s
% 3.28/1.23  % (1421)Instructions burned: 781 (million)
% 3.28/1.23  % (1421)------------------------------
% 3.28/1.23  % (1421)------------------------------
% 3.28/1.24  % (1405)Instruction limit reached!
% 3.28/1.24  % (1405)------------------------------
% 3.28/1.24  % (1405)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.28/1.24  % (1405)Termination reason: Unknown
% 3.28/1.24  % (1405)Termination phase: shuffling
% 3.28/1.24  
% 3.28/1.24  % (1405)Memory used [KB]: 35820
% 3.28/1.24  % (1405)Time elapsed: 0.388 s
% 3.28/1.24  % (1405)Instructions burned: 1041 (million)
% 3.28/1.24  % (1405)------------------------------
% 3.28/1.24  % (1405)------------------------------
% 3.64/1.25  % (1437)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2991ds/507Mi)
% 3.69/1.25  % (1438)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2991ds/149Mi)
% 3.69/1.25  % (1435)Instruction limit reached!
% 3.69/1.25  % (1435)------------------------------
% 3.69/1.25  % (1435)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.69/1.25  % (1435)Termination reason: Unknown
% 3.69/1.25  % (1435)Termination phase: shuffling
% 3.69/1.25  
% 3.69/1.25  % (1435)Memory used [KB]: 14583
% 3.69/1.25  % (1435)Time elapsed: 0.028 s
% 3.69/1.25  % (1435)Instructions burned: 48 (million)
% 3.69/1.25  % (1435)------------------------------
% 3.69/1.25  % (1435)------------------------------
% 3.69/1.27  % (1439)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2991ds/39Mi)
% 3.69/1.27  % (1436)Instruction limit reached!
% 3.69/1.27  % (1436)------------------------------
% 3.69/1.27  % (1436)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.69/1.27  % (1436)Termination reason: Unknown
% 3.69/1.27  % (1436)Termination phase: shuffling
% 3.69/1.27  
% 3.69/1.27  % (1436)Memory used [KB]: 15479
% 3.69/1.27  % (1436)Time elapsed: 0.038 s
% 3.69/1.27  % (1436)Instructions burned: 100 (million)
% 3.69/1.27  % (1436)------------------------------
% 3.69/1.27  % (1436)------------------------------
% 3.69/1.28  % (1440)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2991ds/6Mi)
% 3.69/1.29  % (1440)Instruction limit reached!
% 3.69/1.29  % (1440)------------------------------
% 3.69/1.29  % (1440)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.69/1.29  % (1440)Termination reason: Unknown
% 3.69/1.29  % (1440)Termination phase: shuffling
% 3.69/1.29  
% 3.69/1.29  % (1440)Memory used [KB]: 13816
% 3.69/1.29  % (1440)Time elapsed: 0.009 s
% 3.69/1.29  % (1440)Instructions burned: 6 (million)
% 3.69/1.29  % (1440)------------------------------
% 3.69/1.29  % (1440)------------------------------
% 3.69/1.29  % (1439)Instruction limit reached!
% 3.69/1.29  % (1439)------------------------------
% 3.69/1.29  % (1439)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.69/1.29  % (1439)Termination reason: Unknown
% 3.69/1.29  % (1439)Termination phase: shuffling
% 3.69/1.29  
% 3.69/1.29  % (1439)Memory used [KB]: 14456
% 3.69/1.29  % (1439)Time elapsed: 0.024 s
% 3.69/1.29  % (1439)Instructions burned: 40 (million)
% 3.69/1.29  % (1439)------------------------------
% 3.69/1.29  % (1439)------------------------------
% 3.69/1.30  % (1441)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2990ds/1087Mi)
% 3.69/1.30  % (1442)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2990ds/47Mi)
% 3.69/1.31  % (1416)Instruction limit reached!
% 3.69/1.31  % (1416)------------------------------
% 3.69/1.31  % (1416)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.69/1.31  % (1416)Termination reason: Unknown
% 3.69/1.31  % (1416)Termination phase: Property scanning
% 3.69/1.31  
% 3.69/1.31  % (1416)Memory used [KB]: 24434
% 3.69/1.31  % (1416)Time elapsed: 0.378 s
% 3.69/1.31  % (1416)Instructions burned: 903 (million)
% 3.69/1.31  % (1416)------------------------------
% 3.69/1.31  % (1416)------------------------------
% 3.97/1.31  % (1438)Instruction limit reached!
% 3.97/1.31  % (1438)------------------------------
% 3.97/1.31  % (1438)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.97/1.31  % (1438)Termination reason: Unknown
% 3.97/1.31  % (1438)Termination phase: shuffling
% 3.97/1.31  
% 3.97/1.31  % (1438)Memory used [KB]: 16247
% 3.97/1.31  % (1438)Time elapsed: 0.066 s
% 3.97/1.31  % (1438)Instructions burned: 151 (million)
% 3.97/1.31  % (1438)------------------------------
% 3.97/1.31  % (1438)------------------------------
% 3.97/1.31  % (1423)Instruction limit reached!
% 3.97/1.31  % (1423)------------------------------
% 3.97/1.31  % (1423)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.97/1.31  % (1423)Termination reason: Unknown
% 3.97/1.31  % (1423)Termination phase: Property scanning
% 3.97/1.31  
% 3.97/1.31  % (1423)Memory used [KB]: 24562
% 3.97/1.31  % (1423)Time elapsed: 0.327 s
% 3.97/1.31  % (1423)Instructions burned: 882 (million)
% 3.97/1.31  % (1423)------------------------------
% 3.97/1.31  % (1423)------------------------------
% 3.97/1.32  % (1443)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2990ds/44Mi)
% 3.97/1.32  % (1442)Instruction limit reached!
% 3.97/1.32  % (1442)------------------------------
% 3.97/1.32  % (1442)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.97/1.32  % (1442)Termination reason: Unknown
% 3.97/1.32  % (1442)Termination phase: shuffling
% 3.97/1.32  
% 3.97/1.32  % (1442)Memory used [KB]: 14583
% 3.97/1.32  % (1442)Time elapsed: 0.025 s
% 3.97/1.32  % (1442)Instructions burned: 48 (million)
% 3.97/1.32  % (1442)------------------------------
% 3.97/1.32  % (1442)------------------------------
% 3.97/1.33  % (1444)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2990ds/432Mi)
% 3.97/1.33  % (1445)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2990ds/62Mi)
% 3.97/1.34  % (1446)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2990ds/31Mi)
% 3.97/1.34  % (1443)Instruction limit reached!
% 3.97/1.34  % (1443)------------------------------
% 3.97/1.34  % (1443)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.97/1.34  % (1443)Termination reason: Unknown
% 3.97/1.34  % (1443)Termination phase: shuffling
% 3.97/1.34  
% 3.97/1.34  % (1443)Memory used [KB]: 14583
% 3.97/1.34  % (1443)Time elapsed: 0.024 s
% 3.97/1.34  % (1443)Instructions burned: 47 (million)
% 3.97/1.34  % (1443)------------------------------
% 3.97/1.34  % (1443)------------------------------
% 3.97/1.35  % (1445)Instruction limit reached!
% 3.97/1.35  % (1445)------------------------------
% 3.97/1.35  % (1445)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.97/1.35  % (1445)Termination reason: Unknown
% 3.97/1.35  % (1445)Termination phase: shuffling
% 3.97/1.35  
% 3.97/1.35  % (1445)Memory used [KB]: 14967
% 3.97/1.35  % (1445)Time elapsed: 0.027 s
% 3.97/1.35  % (1445)Instructions burned: 64 (million)
% 3.97/1.35  % (1445)------------------------------
% 3.97/1.35  % (1445)------------------------------
% 3.97/1.35  % (1446)Instruction limit reached!
% 3.97/1.35  % (1446)------------------------------
% 3.97/1.35  % (1446)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.97/1.35  % (1446)Termination reason: Unknown
% 3.97/1.35  % (1446)Termination phase: shuffling
% 3.97/1.35  
% 3.97/1.35  % (1446)Memory used [KB]: 14328
% 3.97/1.35  % (1446)Time elapsed: 0.020 s
% 3.97/1.35  % (1446)Instructions burned: 32 (million)
% 3.97/1.35  % (1446)------------------------------
% 3.97/1.35  % (1446)------------------------------
% 3.97/1.35  % (1447)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2990ds/96Mi)
% 4.16/1.36  % (1448)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2990ds/453Mi)
% 4.16/1.37  % (1449)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2990ds/71Mi)
% 4.16/1.37  % (1434)Instruction limit reached!
% 4.16/1.37  % (1434)------------------------------
% 4.16/1.37  % (1434)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.16/1.37  % (1434)Termination reason: Unknown
% 4.16/1.37  % (1434)Termination phase: shuffling
% 4.16/1.37  
% 4.16/1.37  % (1434)Memory used [KB]: 23027
% 4.16/1.37  % (1434)Time elapsed: 0.151 s
% 4.16/1.37  % (1434)Instructions burned: 449 (million)
% 4.16/1.37  % (1434)------------------------------
% 4.16/1.37  % (1434)------------------------------
% 4.16/1.38  % (1450)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2990ds/83Mi)
% 4.16/1.40  % (1449)Instruction limit reached!
% 4.16/1.40  % (1449)------------------------------
% 4.16/1.40  % (1449)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.16/1.40  % (1449)Termination reason: Unknown
% 4.16/1.40  % (1449)Termination phase: shuffling
% 4.16/1.40  
% 4.16/1.40  % (1449)Memory used [KB]: 14967
% 4.16/1.40  % (1449)Time elapsed: 0.032 s
% 4.16/1.40  % (1449)Instructions burned: 71 (million)
% 4.16/1.40  % (1449)------------------------------
% 4.16/1.40  % (1449)------------------------------
% 4.16/1.40  % (1447)Instruction limit reached!
% 4.16/1.40  % (1447)------------------------------
% 4.16/1.40  % (1447)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.16/1.40  % (1447)Termination reason: Unknown
% 4.16/1.40  % (1447)Termination phase: shuffling
% 4.16/1.40  
% 4.16/1.40  % (1447)Memory used [KB]: 15351
% 4.16/1.40  % (1447)Time elapsed: 0.047 s
% 4.16/1.40  % (1447)Instructions burned: 98 (million)
% 4.16/1.40  % (1447)------------------------------
% 4.16/1.40  % (1447)------------------------------
% 4.16/1.41  % (1451)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2989ds/11Mi)
% 4.16/1.41  % (1452)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2989ds/41Mi)
% 4.16/1.41  % (1450)Instruction limit reached!
% 4.16/1.41  % (1450)------------------------------
% 4.16/1.41  % (1450)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.16/1.41  % (1450)Termination reason: Unknown
% 4.16/1.41  % (1450)Termination phase: shuffling
% 4.16/1.41  
% 4.16/1.41  % (1450)Memory used [KB]: 15095
% 4.16/1.41  % (1450)Time elapsed: 0.037 s
% 4.16/1.41  % (1450)Instructions burned: 83 (million)
% 4.16/1.41  % (1450)------------------------------
% 4.16/1.41  % (1450)------------------------------
% 4.16/1.42  % (1451)Instruction limit reached!
% 4.16/1.42  % (1451)------------------------------
% 4.16/1.42  % (1451)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.16/1.42  % (1451)Termination reason: Unknown
% 4.16/1.42  % (1451)Termination phase: shuffling
% 4.16/1.42  
% 4.16/1.42  % (1451)Memory used [KB]: 14072
% 4.16/1.42  % (1451)Time elapsed: 0.012 s
% 4.16/1.42  % (1451)Instructions burned: 11 (million)
% 4.16/1.42  % (1451)------------------------------
% 4.16/1.42  % (1451)------------------------------
% 4.16/1.43  % (1453)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2989ds/6Mi)
% 4.16/1.43  % (1454)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2989ds/150Mi)
% 4.16/1.43  % (1453)Instruction limit reached!
% 4.16/1.43  % (1453)------------------------------
% 4.16/1.43  % (1453)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.16/1.43  % (1453)Termination reason: Unknown
% 4.16/1.43  % (1453)Termination phase: shuffling
% 4.16/1.43  
% 4.16/1.43  % (1453)Memory used [KB]: 13816
% 4.16/1.43  % (1453)Time elapsed: 0.008 s
% 4.16/1.43  % (1453)Instructions burned: 6 (million)
% 4.16/1.43  % (1453)------------------------------
% 4.16/1.43  % (1453)------------------------------
% 4.16/1.43  % (1452)Instruction limit reached!
% 4.16/1.43  % (1452)------------------------------
% 4.16/1.43  % (1452)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.16/1.43  % (1452)Termination reason: Unknown
% 4.16/1.43  % (1452)Termination phase: shuffling
% 4.16/1.43  
% 4.16/1.43  % (1452)Memory used [KB]: 14583
% 4.16/1.43  % (1452)Time elapsed: 0.023 s
% 4.16/1.43  % (1452)Instructions burned: 43 (million)
% 4.16/1.43  % (1452)------------------------------
% 4.16/1.43  % (1452)------------------------------
% 4.57/1.44  % (1437)Instruction limit reached!
% 4.57/1.44  % (1437)------------------------------
% 4.57/1.44  % (1437)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.57/1.44  % (1437)Termination reason: Unknown
% 4.57/1.44  % (1437)Termination phase: shuffling
% 4.57/1.44  
% 4.57/1.44  % (1437)Memory used [KB]: 23155
% 4.57/1.44  % (1437)Time elapsed: 0.196 s
% 4.57/1.44  % (1437)Instructions burned: 509 (million)
% 4.57/1.44  % (1437)------------------------------
% 4.57/1.44  % (1437)------------------------------
% 4.57/1.44  % (1455)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2989ds/343Mi)
% 4.57/1.44  % (1456)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2989ds/109Mi)
% 4.57/1.45  % (1457)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2989ds/253Mi)
% 4.57/1.46  % (1444)Instruction limit reached!
% 4.57/1.46  % (1444)------------------------------
% 4.57/1.46  % (1444)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.57/1.46  % (1444)Termination reason: Unknown
% 4.57/1.46  % (1444)Termination phase: shuffling
% 4.57/1.46  
% 4.57/1.46  % (1444)Memory used [KB]: 22771
% 4.57/1.46  % (1444)Time elapsed: 0.139 s
% 4.57/1.46  % (1444)Instructions burned: 434 (million)
% 4.57/1.46  % (1444)------------------------------
% 4.57/1.46  % (1444)------------------------------
% 4.57/1.48  % (1458)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2989ds/140Mi)
% 4.93/1.49  % (1454)Instruction limit reached!
% 4.93/1.49  % (1454)------------------------------
% 4.93/1.49  % (1454)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.93/1.49  % (1454)Termination reason: Unknown
% 4.93/1.49  % (1454)Termination phase: shuffling
% 4.93/1.49  
% 4.93/1.49  % (1454)Memory used [KB]: 16247
% 4.93/1.49  % (1454)Time elapsed: 0.062 s
% 4.93/1.49  % (1454)Instructions burned: 151 (million)
% 4.93/1.49  % (1454)------------------------------
% 4.93/1.49  % (1454)------------------------------
% 4.93/1.49  % (1456)Instruction limit reached!
% 4.93/1.49  % (1456)------------------------------
% 4.93/1.49  % (1456)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.93/1.49  % (1456)Termination reason: Unknown
% 4.93/1.49  % (1456)Termination phase: shuffling
% 4.93/1.49  
% 4.93/1.49  % (1456)Memory used [KB]: 15607
% 4.93/1.49  % (1456)Time elapsed: 0.050 s
% 4.93/1.49  % (1456)Instructions burned: 109 (million)
% 4.93/1.49  % (1456)------------------------------
% 4.93/1.49  % (1456)------------------------------
% 4.93/1.50  % (1459)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2988ds/614Mi)
% 4.93/1.50  % (1460)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2988ds/202Mi)
% 4.93/1.51  % (1448)Instruction limit reached!
% 4.93/1.51  % (1448)------------------------------
% 4.93/1.51  % (1448)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.93/1.51  % (1448)Termination reason: Unknown
% 4.93/1.51  % (1448)Termination phase: shuffling
% 4.93/1.51  
% 4.93/1.51  % (1448)Memory used [KB]: 23027
% 4.93/1.51  % (1448)Time elapsed: 0.145 s
% 4.93/1.51  % (1448)Instructions burned: 453 (million)
% 4.93/1.51  % (1448)------------------------------
% 4.93/1.51  % (1448)------------------------------
% 4.93/1.52  % (1461)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2988ds/339Mi)
% 4.93/1.53  % (1458)Instruction limit reached!
% 4.93/1.53  % (1458)------------------------------
% 4.93/1.53  % (1458)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.93/1.53  % (1458)Termination reason: Unknown
% 4.93/1.53  % (1458)Termination phase: shuffling
% 4.93/1.53  
% 4.93/1.53  % (1458)Memory used [KB]: 15991
% 4.93/1.53  % (1458)Time elapsed: 0.058 s
% 4.93/1.53  % (1458)Instructions burned: 141 (million)
% 4.93/1.53  % (1458)------------------------------
% 4.93/1.53  % (1458)------------------------------
% 5.29/1.54  % (1463)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2988ds/283Mi)
% 5.29/1.55  % (1457)Instruction limit reached!
% 5.29/1.55  % (1457)------------------------------
% 5.29/1.55  % (1457)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.29/1.55  % (1457)Termination reason: Unknown
% 5.29/1.55  % (1457)Termination phase: shuffling
% 5.29/1.55  
% 5.29/1.55  % (1457)Memory used [KB]: 17782
% 5.29/1.55  % (1457)Time elapsed: 0.101 s
% 5.29/1.55  % (1457)Instructions burned: 255 (million)
% 5.29/1.55  % (1457)------------------------------
% 5.29/1.55  % (1457)------------------------------
% 5.29/1.57  % (1464)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2988ds/134Mi)
% 5.29/1.57  % (1455)Instruction limit reached!
% 5.29/1.57  % (1455)------------------------------
% 5.29/1.57  % (1455)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.29/1.57  % (1455)Termination reason: Unknown
% 5.29/1.57  % (1455)Termination phase: shuffling
% 5.29/1.57  
% 5.29/1.57  % (1455)Memory used [KB]: 19061
% 5.29/1.57  % (1455)Time elapsed: 0.131 s
% 5.29/1.57  % (1455)Instructions burned: 343 (million)
% 5.29/1.57  % (1455)------------------------------
% 5.29/1.57  % (1455)------------------------------
% 5.29/1.58  % (1465)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2988ds/298Mi)
% 5.29/1.58  % (1460)Instruction limit reached!
% 5.29/1.58  % (1460)------------------------------
% 5.29/1.58  % (1460)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.29/1.58  % (1460)Termination reason: Unknown
% 5.29/1.58  % (1460)Termination phase: shuffling
% 5.29/1.58  
% 5.29/1.58  % (1460)Memory used [KB]: 17142
% 5.29/1.58  % (1460)Time elapsed: 0.082 s
% 5.29/1.58  % (1460)Instructions burned: 203 (million)
% 5.29/1.58  % (1460)------------------------------
% 5.29/1.58  % (1460)------------------------------
% 5.29/1.60  % (1466)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2987ds/192Mi)
% 5.29/1.62  % (1464)Instruction limit reached!
% 5.29/1.62  % (1464)------------------------------
% 5.29/1.62  % (1464)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 5.29/1.62  % (1464)Termination reason: Unknown
% 5.29/1.62  % (1464)Termination phase: shuffling
% 5.29/1.62  
% 5.29/1.62  % (1464)Memory used [KB]: 15991
% 5.29/1.62  % (1464)Time elapsed: 0.055 s
% 5.29/1.62  % (1464)Instructions burned: 134 (million)
% 5.29/1.62  % (1464)------------------------------
% 5.29/1.62  % (1464)------------------------------
% 6.41/1.63  % (1467)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2987ds/258Mi)
% 6.41/1.64  % (1463)Instruction limit reached!
% 6.41/1.64  % (1463)------------------------------
% 6.41/1.64  % (1463)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.41/1.64  % (1463)Termination reason: Unknown
% 6.41/1.64  % (1463)Termination phase: shuffling
% 6.41/1.64  
% 6.41/1.64  % (1463)Memory used [KB]: 20468
% 6.41/1.64  % (1463)Time elapsed: 0.094 s
% 6.41/1.64  % (1463)Instructions burned: 286 (million)
% 6.41/1.64  % (1463)------------------------------
% 6.41/1.64  % (1463)------------------------------
% 6.41/1.65  % (1468)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2987ds/90Mi)
% 6.41/1.65  % (1461)Instruction limit reached!
% 6.41/1.65  % (1461)------------------------------
% 6.41/1.65  % (1461)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.41/1.65  % (1461)Termination reason: Unknown
% 6.41/1.65  % (1461)Termination phase: shuffling
% 6.41/1.65  
% 6.41/1.65  % (1461)Memory used [KB]: 19061
% 6.41/1.65  % (1461)Time elapsed: 0.132 s
% 6.41/1.65  % (1461)Instructions burned: 341 (million)
% 6.41/1.65  % (1461)------------------------------
% 6.41/1.65  % (1461)------------------------------
% 6.41/1.66  % (1469)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2987ds/231Mi)
% 6.41/1.67  % (1441)Instruction limit reached!
% 6.41/1.67  % (1441)------------------------------
% 6.41/1.67  % (1441)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.41/1.67  % (1441)Termination reason: Unknown
% 6.41/1.67  % (1441)Termination phase: SInE selection
% 6.41/1.67  
% 6.41/1.67  % (1441)Memory used [KB]: 24818
% 6.41/1.67  % (1441)Time elapsed: 0.373 s
% 6.41/1.67  % (1441)Instructions burned: 1088 (million)
% 6.41/1.67  % (1441)------------------------------
% 6.41/1.67  % (1441)------------------------------
% 6.41/1.67  % (1466)Instruction limit reached!
% 6.41/1.67  % (1466)------------------------------
% 6.41/1.67  % (1466)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.41/1.67  % (1466)Termination reason: Unknown
% 6.41/1.67  % (1466)Termination phase: shuffling
% 6.41/1.67  
% 6.41/1.67  % (1466)Memory used [KB]: 16886
% 6.41/1.67  % (1466)Time elapsed: 0.076 s
% 6.41/1.67  % (1466)Instructions burned: 192 (million)
% 6.41/1.67  % (1466)------------------------------
% 6.41/1.67  % (1466)------------------------------
% 6.68/1.68  % (1465)Instruction limit reached!
% 6.68/1.68  % (1465)------------------------------
% 6.68/1.68  % (1465)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.68/1.68  % (1465)Termination reason: Unknown
% 6.68/1.68  % (1465)Termination phase: shuffling
% 6.68/1.68  
% 6.68/1.68  % (1465)Memory used [KB]: 20724
% 6.68/1.68  % (1465)Time elapsed: 0.099 s
% 6.68/1.68  % (1465)Instructions burned: 300 (million)
% 6.68/1.68  % (1465)------------------------------
% 6.68/1.68  % (1465)------------------------------
% 6.68/1.68  % (1470)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2986ds/458Mi)
% 6.68/1.68  % (1471)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2986ds/31Mi)
% 6.68/1.69  % (1468)Instruction limit reached!
% 6.68/1.69  % (1468)------------------------------
% 6.68/1.69  % (1468)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.68/1.69  % (1468)Termination reason: Unknown
% 6.68/1.69  % (1468)Termination phase: shuffling
% 6.68/1.69  
% 6.68/1.69  % (1468)Memory used [KB]: 15351
% 6.68/1.69  % (1468)Time elapsed: 0.041 s
% 6.68/1.69  % (1468)Instructions burned: 90 (million)
% 6.68/1.69  % (1468)------------------------------
% 6.68/1.69  % (1468)------------------------------
% 6.68/1.69  % (1472)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2986ds/297Mi)
% 6.68/1.70  % (1473)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2986ds/987Mi)
% 6.68/1.70  % (1471)Instruction limit reached!
% 6.68/1.70  % (1471)------------------------------
% 6.68/1.70  % (1471)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.68/1.70  % (1471)Termination reason: Unknown
% 6.68/1.70  % (1471)Termination phase: shuffling
% 6.68/1.70  
% 6.68/1.70  % (1471)Memory used [KB]: 14328
% 6.68/1.70  % (1471)Time elapsed: 0.020 s
% 6.68/1.70  % (1471)Instructions burned: 33 (million)
% 6.68/1.70  % (1471)------------------------------
% 6.68/1.70  % (1471)------------------------------
% 6.68/1.71  % (1474)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2986ds/182Mi)
% 6.68/1.73  % (1467)Instruction limit reached!
% 6.68/1.73  % (1467)------------------------------
% 6.68/1.73  % (1467)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.68/1.73  % (1467)Termination reason: Unknown
% 6.68/1.73  % (1467)Termination phase: shuffling
% 6.68/1.73  
% 6.68/1.73  % (1467)Memory used [KB]: 17782
% 6.68/1.73  % (1467)Time elapsed: 0.102 s
% 6.68/1.73  % (1467)Instructions burned: 258 (million)
% 6.68/1.73  % (1467)------------------------------
% 6.68/1.73  % (1467)------------------------------
% 6.68/1.73  % (1459)Instruction limit reached!
% 6.68/1.73  % (1459)------------------------------
% 6.68/1.73  % (1459)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.68/1.73  % (1459)Termination reason: Unknown
% 6.68/1.73  % (1459)Termination phase: Property scanning
% 6.68/1.73  
% 6.68/1.73  % (1459)Memory used [KB]: 24562
% 6.68/1.73  % (1459)Time elapsed: 0.232 s
% 6.68/1.73  % (1459)Instructions burned: 616 (million)
% 6.68/1.73  % (1459)------------------------------
% 6.68/1.73  % (1459)------------------------------
% 6.68/1.74  % (1469)Instruction limit reached!
% 6.68/1.74  % (1469)------------------------------
% 6.68/1.74  % (1469)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 6.68/1.74  % (1469)Termination reason: Unknown
% 6.68/1.74  % (1469)Termination phase: shuffling
% 6.68/1.74  
% 6.68/1.74  % (1469)Memory used [KB]: 19573
% 6.68/1.74  % (1469)Time elapsed: 0.079 s
% 6.68/1.74  % (1469)Instructions burned: 233 (million)
% 6.68/1.74  % (1469)------------------------------
% 6.68/1.74  % (1469)------------------------------
% 6.68/1.74  % (1475)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2986ds/182Mi)
% 6.68/1.74  % (1476)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2986ds/154Mi)
% 6.68/1.75  % (1477)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2986ds/79Mi)
% 7.05/1.79  % (1474)Instruction limit reached!
% 7.05/1.79  % (1474)------------------------------
% 7.05/1.79  % (1474)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.05/1.79  % (1474)Termination reason: Unknown
% 7.05/1.79  % (1474)Termination phase: shuffling
% 7.05/1.79  
% 7.05/1.79  % (1474)Memory used [KB]: 16758
% 7.05/1.79  % (1474)Time elapsed: 0.075 s
% 7.05/1.79  % (1474)Instructions burned: 182 (million)
% 7.05/1.79  % (1474)------------------------------
% 7.05/1.79  % (1474)------------------------------
% 7.05/1.79  % (1477)Instruction limit reached!
% 7.05/1.79  % (1477)------------------------------
% 7.05/1.79  % (1477)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.05/1.79  % (1477)Termination reason: Unknown
% 7.05/1.79  % (1477)Termination phase: shuffling
% 7.05/1.79  
% 7.05/1.79  % (1477)Memory used [KB]: 15095
% 7.05/1.79  % (1477)Time elapsed: 0.037 s
% 7.05/1.79  % (1477)Instructions burned: 79 (million)
% 7.05/1.79  % (1477)------------------------------
% 7.05/1.79  % (1477)------------------------------
% 7.05/1.79  % (1472)Instruction limit reached!
% 7.05/1.79  % (1472)------------------------------
% 7.05/1.79  % (1472)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.05/1.79  % (1472)Termination reason: Unknown
% 7.05/1.79  % (1472)Termination phase: shuffling
% 7.05/1.79  
% 7.05/1.79  % (1472)Memory used [KB]: 20596
% 7.05/1.79  % (1472)Time elapsed: 0.100 s
% 7.05/1.79  % (1472)Instructions burned: 299 (million)
% 7.05/1.79  % (1472)------------------------------
% 7.05/1.79  % (1472)------------------------------
% 7.05/1.80  % (1476)Instruction limit reached!
% 7.05/1.80  % (1476)------------------------------
% 7.05/1.80  % (1476)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.05/1.80  % (1476)Termination reason: Unknown
% 7.05/1.80  % (1476)Termination phase: shuffling
% 7.05/1.80  
% 7.05/1.80  % (1476)Memory used [KB]: 16375
% 7.05/1.80  % (1476)Time elapsed: 0.053 s
% 7.05/1.80  % (1476)Instructions burned: 154 (million)
% 7.05/1.80  % (1476)------------------------------
% 7.05/1.80  % (1476)------------------------------
% 7.05/1.80  % (1478)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2985ds/216Mi)
% 7.05/1.80  % (1479)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2985ds/114Mi)
% 7.05/1.80  % (1480)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2985ds/922Mi)
% 7.05/1.81  % (1481)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2985ds/182Mi)
% 7.36/1.82  % (1475)Instruction limit reached!
% 7.36/1.82  % (1475)------------------------------
% 7.36/1.82  % (1475)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.36/1.82  % (1475)Termination reason: Unknown
% 7.36/1.82  % (1475)Termination phase: shuffling
% 7.36/1.82  
% 7.36/1.82  % (1475)Memory used [KB]: 16886
% 7.36/1.82  % (1475)Time elapsed: 0.075 s
% 7.36/1.82  % (1475)Instructions burned: 183 (million)
% 7.36/1.82  % (1475)------------------------------
% 7.36/1.82  % (1475)------------------------------
% 7.36/1.83  % (1482)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2985ds/164Mi)
% 7.45/1.85  % (1479)Instruction limit reached!
% 7.45/1.85  % (1479)------------------------------
% 7.45/1.85  % (1479)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.45/1.85  % (1479)Termination reason: Unknown
% 7.45/1.85  % (1479)Termination phase: shuffling
% 7.45/1.85  
% 7.45/1.85  % (1479)Memory used [KB]: 15735
% 7.45/1.85  % (1479)Time elapsed: 0.048 s
% 7.45/1.85  % (1479)Instructions burned: 115 (million)
% 7.45/1.85  % (1479)------------------------------
% 7.45/1.85  % (1479)------------------------------
% 7.45/1.86  % (1483)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2985ds/50Mi)
% 7.45/1.86  % (1470)Instruction limit reached!
% 7.45/1.86  % (1470)------------------------------
% 7.45/1.86  % (1470)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.45/1.86  % (1470)Termination reason: Unknown
% 7.45/1.86  % (1470)Termination phase: shuffling
% 7.45/1.86  
% 7.45/1.86  % (1470)Memory used [KB]: 22771
% 7.45/1.86  % (1470)Time elapsed: 0.176 s
% 7.45/1.86  % (1470)Instructions burned: 459 (million)
% 7.45/1.86  % (1470)------------------------------
% 7.45/1.86  % (1470)------------------------------
% 7.45/1.87  % (1481)Instruction limit reached!
% 7.45/1.87  % (1481)------------------------------
% 7.45/1.87  % (1481)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.45/1.87  % (1481)Termination reason: Unknown
% 7.45/1.87  % (1481)Termination phase: shuffling
% 7.45/1.87  
% 7.45/1.87  % (1481)Memory used [KB]: 16886
% 7.45/1.87  % (1481)Time elapsed: 0.062 s
% 7.45/1.87  % (1481)Instructions burned: 184 (million)
% 7.45/1.87  % (1481)------------------------------
% 7.45/1.87  % (1481)------------------------------
% 7.45/1.87  % (1478)Instruction limit reached!
% 7.45/1.87  % (1478)------------------------------
% 7.45/1.87  % (1478)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.45/1.87  % (1478)Termination reason: Unknown
% 7.45/1.87  % (1478)Termination phase: shuffling
% 7.45/1.87  
% 7.45/1.87  % (1478)Memory used [KB]: 19317
% 7.45/1.87  % (1478)Time elapsed: 0.072 s
% 7.45/1.87  % (1478)Instructions burned: 216 (million)
% 7.45/1.87  % (1478)------------------------------
% 7.45/1.87  % (1478)------------------------------
% 7.45/1.87  % (1484)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2985ds/368Mi)
% 7.45/1.88  % (1485)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2985ds/1021Mi)
% 7.45/1.88  % (1483)Instruction limit reached!
% 7.45/1.88  % (1483)------------------------------
% 7.45/1.88  % (1483)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.45/1.88  % (1483)Termination reason: Unknown
% 7.45/1.88  % (1483)Termination phase: shuffling
% 7.45/1.88  
% 7.45/1.88  % (1483)Memory used [KB]: 14711
% 7.45/1.88  % (1483)Time elapsed: 0.024 s
% 7.45/1.88  % (1483)Instructions burned: 52 (million)
% 7.45/1.88  % (1483)------------------------------
% 7.45/1.88  % (1483)------------------------------
% 7.45/1.88  % (1486)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2985ds/267Mi)
% 7.45/1.88  % (1482)Instruction limit reached!
% 7.45/1.88  % (1482)------------------------------
% 7.45/1.88  % (1482)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.45/1.88  % (1482)Termination reason: Unknown
% 7.45/1.88  % (1482)Termination phase: shuffling
% 7.45/1.88  
% 7.45/1.88  % (1482)Memory used [KB]: 16502
% 7.45/1.88  % (1482)Time elapsed: 0.057 s
% 7.45/1.88  % (1482)Instructions burned: 167 (million)
% 7.45/1.88  % (1482)------------------------------
% 7.45/1.88  % (1482)------------------------------
% 7.45/1.89  % (1487)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2984ds/204Mi)
% 7.45/1.90  % (1488)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2984ds/26Mi)
% 7.96/1.91  % (1488)Instruction limit reached!
% 7.96/1.91  % (1488)------------------------------
% 7.96/1.91  % (1488)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.96/1.91  % (1488)Termination reason: Unknown
% 7.96/1.91  % (1488)Termination phase: shuffling
% 7.96/1.91  
% 7.96/1.91  % (1488)Memory used [KB]: 14456
% 7.96/1.91  % (1488)Time elapsed: 0.017 s
% 7.96/1.91  % (1488)Instructions burned: 27 (million)
% 7.96/1.91  % (1488)------------------------------
% 7.96/1.91  % (1488)------------------------------
% 7.96/1.92  % (1489)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2984ds/53Mi)
% 7.96/1.95  % (1489)Instruction limit reached!
% 7.96/1.95  % (1489)------------------------------
% 7.96/1.95  % (1489)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.96/1.95  % (1489)Termination reason: Unknown
% 7.96/1.95  % (1489)Termination phase: shuffling
% 7.96/1.95  
% 7.96/1.95  % (1489)Memory used [KB]: 14711
% 7.96/1.95  % (1489)Time elapsed: 0.025 s
% 7.96/1.95  % (1489)Instructions burned: 53 (million)
% 7.96/1.95  % (1489)------------------------------
% 7.96/1.95  % (1489)------------------------------
% 7.96/1.96  % (1490)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2984ds/4436Mi)
% 7.96/1.97  % (1486)Instruction limit reached!
% 7.96/1.97  % (1486)------------------------------
% 7.96/1.97  % (1486)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.96/1.97  % (1486)Termination reason: Unknown
% 7.96/1.97  % (1486)Termination phase: shuffling
% 7.96/1.97  
% 7.96/1.97  % (1486)Memory used [KB]: 20212
% 7.96/1.97  % (1486)Time elapsed: 0.089 s
% 7.96/1.97  % (1486)Instructions burned: 267 (million)
% 7.96/1.97  % (1486)------------------------------
% 7.96/1.97  % (1486)------------------------------
% 7.96/1.97  % (1487)Instruction limit reached!
% 7.96/1.97  % (1487)------------------------------
% 7.96/1.97  % (1487)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 7.96/1.97  % (1487)Termination reason: Unknown
% 7.96/1.97  % (1487)Termination phase: shuffling
% 7.96/1.97  
% 7.96/1.97  % (1487)Memory used [KB]: 17014
% 7.96/1.97  % (1487)Time elapsed: 0.082 s
% 7.96/1.97  % (1487)Instructions burned: 204 (million)
% 7.96/1.97  % (1487)------------------------------
% 7.96/1.97  % (1487)------------------------------
% 8.21/1.98  % (1491)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2983ds/1539Mi)
% 8.21/1.98  % (1492)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2983ds/408Mi)
% 8.21/2.01  % (1484)Instruction limit reached!
% 8.21/2.01  % (1484)------------------------------
% 8.21/2.01  % (1484)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 8.21/2.01  % (1484)Termination reason: Unknown
% 8.21/2.01  % (1484)Termination phase: shuffling
% 8.21/2.01  
% 8.21/2.01  % (1484)Memory used [KB]: 19445
% 8.21/2.01  % (1484)Time elapsed: 0.141 s
% 8.21/2.01  % (1484)Instructions burned: 370 (million)
% 8.21/2.01  % (1484)------------------------------
% 8.21/2.01  % (1484)------------------------------
% 8.21/2.01  % (1473)Instruction limit reached!
% 8.21/2.01  % (1473)------------------------------
% 8.21/2.01  % (1473)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 8.21/2.01  % (1473)Termination reason: Unknown
% 8.21/2.01  % (1473)Termination phase: shuffling
% 8.21/2.01  
% 8.21/2.01  % (1473)Memory used [KB]: 35052
% 8.21/2.01  % (1473)Time elapsed: 0.314 s
% 8.21/2.01  % (1473)Instructions burned: 988 (million)
% 8.21/2.01  % (1473)------------------------------
% 8.21/2.01  % (1473)------------------------------
% 8.21/2.02  % (1493)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2983ds/5205Mi)
% 8.21/2.03  % (1494)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2983ds/1913Mi)
% 8.69/2.12  % (1480)Instruction limit reached!
% 8.69/2.12  % (1480)------------------------------
% 8.69/2.12  % (1480)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 8.69/2.12  % (1480)Termination reason: Unknown
% 8.69/2.12  % (1480)Termination phase: Property scanning
% 8.69/2.12  
% 8.69/2.12  % (1480)Memory used [KB]: 24562
% 8.69/2.12  % (1480)Time elapsed: 0.318 s
% 8.69/2.12  % (1480)Instructions burned: 922 (million)
% 8.69/2.12  % (1480)------------------------------
% 8.69/2.12  % (1480)------------------------------
% 8.69/2.13  % (1495)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2982ds/4350Mi)
% 8.69/2.14  % (1492)Instruction limit reached!
% 8.69/2.14  % (1492)------------------------------
% 8.69/2.14  % (1492)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 8.69/2.14  % (1492)Termination reason: Unknown
% 8.69/2.14  % (1492)Termination phase: shuffling
% 8.69/2.14  
% 8.69/2.14  % (1492)Memory used [KB]: 20212
% 8.69/2.14  % (1492)Time elapsed: 0.157 s
% 8.69/2.14  % (1492)Instructions burned: 408 (million)
% 8.69/2.14  % (1492)------------------------------
% 8.69/2.14  % (1492)------------------------------
% 10.06/2.15  % (1496)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2982ds/68Mi)
% 10.06/2.18  % (1496)Instruction limit reached!
% 10.06/2.18  % (1496)------------------------------
% 10.06/2.18  % (1496)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 10.06/2.18  % (1496)Termination reason: Unknown
% 10.06/2.18  % (1496)Termination phase: shuffling
% 10.06/2.18  
% 10.06/2.18  % (1496)Memory used [KB]: 14967
% 10.06/2.18  % (1496)Time elapsed: 0.032 s
% 10.06/2.18  % (1496)Instructions burned: 69 (million)
% 10.06/2.18  % (1496)------------------------------
% 10.06/2.18  % (1496)------------------------------
% 10.06/2.19  % (1497)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2981ds/358Mi)
% 10.06/2.23  % (1485)Instruction limit reached!
% 10.06/2.23  % (1485)------------------------------
% 10.06/2.23  % (1485)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 10.06/2.23  % (1485)Termination reason: Unknown
% 10.06/2.23  % (1485)Termination phase: SInE selection
% 10.06/2.23  
% 10.06/2.23  % (1485)Memory used [KB]: 24562
% 10.06/2.23  % (1485)Time elapsed: 0.349 s
% 10.06/2.23  % (1485)Instructions burned: 1023 (million)
% 10.06/2.23  % (1485)------------------------------
% 10.06/2.23  % (1485)------------------------------
% 10.61/2.25  % (1498)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2981ds/31Mi)
% 10.61/2.28  % (1498)Instruction limit reached!
% 10.61/2.28  % (1498)------------------------------
% 10.61/2.28  % (1498)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 10.61/2.28  % (1498)Termination reason: Unknown
% 10.61/2.28  % (1498)Termination phase: shuffling
% 10.61/2.28  
% 10.61/2.28  % (1498)Memory used [KB]: 14328
% 10.61/2.28  % (1498)Time elapsed: 0.033 s
% 10.61/2.28  % (1498)Instructions burned: 32 (million)
% 10.61/2.28  % (1498)------------------------------
% 10.61/2.28  % (1498)------------------------------
% 10.99/2.30  % (1499)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2980ds/279Mi)
% 10.99/2.33  % (1497)Instruction limit reached!
% 10.99/2.33  % (1497)------------------------------
% 10.99/2.33  % (1497)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 10.99/2.33  % (1497)Termination reason: Unknown
% 10.99/2.33  % (1497)Termination phase: shuffling
% 10.99/2.33  
% 10.99/2.33  % (1497)Memory used [KB]: 19317
% 10.99/2.33  % (1497)Time elapsed: 0.135 s
% 10.99/2.33  % (1497)Instructions burned: 359 (million)
% 10.99/2.33  % (1497)------------------------------
% 10.99/2.33  % (1497)------------------------------
% 10.99/2.34  % (1500)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2980ds/258Mi)
% 10.99/2.36  % (1490)First to succeed.
% 11.47/2.37  % (1490)Refutation found. Thanks to Tanya!
% 11.47/2.37  % SZS status Theorem for theBenchmark
% 11.47/2.37  % SZS output start Proof for theBenchmark
% See solution above
% 11.47/2.38  % (1490)------------------------------
% 11.47/2.38  % (1490)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 11.47/2.38  % (1490)Termination reason: Refutation
% 11.47/2.38  
% 11.47/2.38  % (1490)Memory used [KB]: 29423
% 11.47/2.38  % (1490)Time elapsed: 0.408 s
% 11.47/2.38  % (1490)Instructions burned: 1179 (million)
% 11.47/2.38  % (1490)------------------------------
% 11.47/2.38  % (1490)------------------------------
% 11.47/2.38  % (1393)Success in time 1.998 s
%------------------------------------------------------------------------------