%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP206^1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:11:06 AM UTC 2026
% Result : Theorem 96.82s 16.80s
% Output : Refutation 96.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 33 unt; 0 typ; 3 def)
% Number of atoms : 136 ( 65 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 255 ( 33 ~; 21 |; 1 &; 185 @)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 205 ( 204 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3709 (3706 usr; 116 con; 0-5 aty)
% Number of variables : 74 ( 19 sgn 32 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_se7592288975875140775at_nat: $tType ).
thf(type_def_6,type,
set_Pr7669914128964046860_nat_o: $tType ).
thf(type_def_7,type,
set_Pr7459493094073627847at_nat: $tType ).
thf(type_def_8,type,
set_se7255092946006855566_nat_o: $tType ).
thf(type_def_9,type,
produc1319942482725812455at_nat: $tType ).
thf(type_def_10,type,
produc101387210554329899nteger: $tType ).
thf(type_def_11,type,
set_Pr5564308138774400199at_nat: $tType ).
thf(type_def_12,type,
produc1906917888121415911at_nat: $tType ).
thf(type_def_13,type,
set_Pr553994874890374343at_nat: $tType ).
thf(type_def_14,type,
produc349518998152878311at_nat: $tType ).
thf(type_def_15,type,
produc2296667697112141421t_unit: $tType ).
thf(type_def_16,type,
produc4041253808165279839at_nat: $tType ).
thf(type_def_17,type,
set_se5479201105039950375at_nat: $tType ).
thf(type_def_18,type,
set_Pr7010166363911110284_nat_o: $tType ).
thf(type_def_19,type,
set_Pr4111642102156807771nteger: $tType ).
thf(type_def_20,type,
set_Pr4329608150637261639at_nat: $tType ).
thf(type_def_21,type,
set_se9180647916752606350_nat_o: $tType ).
thf(type_def_22,type,
set_se6425085446898223655at_nat: $tType ).
thf(type_def_23,type,
produc3843707927480180839at_nat: $tType ).
thf(type_def_24,type,
produc4675096598859438275atural: $tType ).
thf(type_def_25,type,
produc723880050079548563nteger: $tType ).
thf(type_def_26,type,
produc3629471303718939987t_unit: $tType ).
thf(type_def_27,type,
set_Pr8693737435421807431at_nat: $tType ).
thf(type_def_28,type,
set_Pr7098892610798258687nt_int: $tType ).
thf(type_def_29,type,
set_Pr4155430604743465615at_nat: $tType ).
thf(type_def_30,type,
set_Pr2560585780119916871nt_int: $tType ).
thf(type_def_31,type,
produc3346328345660746739nteger: $tType ).
thf(type_def_32,type,
produc8126358835630522215t_unit: $tType ).
thf(type_def_33,type,
produc859450856879609959at_nat: $tType ).
thf(type_def_34,type,
produc556289286640904991nt_int: $tType ).
thf(type_def_35,type,
produc1522404539988722607at_nat: $tType ).
thf(type_def_36,type,
produc1219242969750017639nt_int: $tType ).
thf(type_def_37,type,
set_Pr3798168094891919931at_nat: $tType ).
thf(type_def_38,type,
set_Pr1133966238863718811t_unit: $tType ).
thf(type_def_39,type,
produc5561445381605014009at_nat: $tType ).
thf(type_def_40,type,
set_Co4375521073081744395nteger: $tType ).
thf(type_def_41,type,
set_Pr2539167527615954998at_nat: $tType ).
thf(type_def_42,type,
set_Pr49084382684228242at_int: $tType ).
thf(type_def_43,type,
set_Pr2543308735921124078nt_nat: $tType ).
thf(type_def_44,type,
set_Pr7717912310451564380at_nat: $tType ).
thf(type_def_45,type,
set_Pr6123067485828015636nt_int: $tType ).
thf(type_def_46,type,
set_li2168235667650531768at_nat: $tType ).
thf(type_def_47,type,
produc7812382424243267045t_unit: $tType ).
thf(type_def_48,type,
produc1799199577659733785_ref_a: $tType ).
thf(type_def_49,type,
set_Pr6558897299634722526_nat_o: $tType ).
thf(type_def_50,type,
set_Pr4811707699266497531nteger: $tType ).
thf(type_def_51,type,
produc5066145461314735602t_unit: $tType ).
thf(type_def_52,type,
produc3969062480670737046t_unit: $tType ).
thf(type_def_53,type,
produc8373899037510109440at_nat: $tType ).
thf(type_def_54,type,
produc4196048018000912732at_int: $tType ).
thf(type_def_55,type,
produc1709102135585200056nt_nat: $tType ).
thf(type_def_56,type,
produc7248412053542808358at_nat: $tType ).
thf(type_def_57,type,
produc6945250483304103390nt_int: $tType ).
thf(type_def_58,type,
set_Pr5094982260447487303t_unit: $tType ).
thf(type_def_59,type,
set_ch7978006088466058503at_nat: $tType ).
thf(type_def_60,type,
set_ch6383161263842509759nt_int: $tType ).
thf(type_def_61,type,
set_ra2113409117844698048at_nat: $tType ).
thf(type_def_62,type,
set_ra518564293221149304nt_int: $tType ).
thf(type_def_63,type,
set_na8845969913329135560at_nat: $tType ).
thf(type_def_64,type,
set_na7251125088705586816nt_int: $tType ).
thf(type_def_65,type,
set_in3169746454734514176um_num: $tType ).
thf(type_def_66,type,
set_in7748886932685137004at_nat: $tType ).
thf(type_def_67,type,
set_in6154042108061588260nt_int: $tType ).
thf(type_def_68,type,
set_se4612898379794543757t_unit: $tType ).
thf(type_def_69,type,
produc652263959640188542_nat_o: $tType ).
thf(type_def_70,type,
set_se4826145725398303499at_num: $tType ).
thf(type_def_71,type,
set_se7855581050983116737at_nat: $tType ).
thf(type_def_72,type,
set_se6260736226359567993nt_int: $tType ).
thf(type_def_73,type,
set_Pr8415741480598773322nteger: $tType ).
thf(type_def_74,type,
produc7822875418678951345atural: $tType ).
thf(type_def_75,type,
produc8923325533196201883nteger: $tType ).
thf(type_def_76,type,
set_Pr4607231638325966922it_rat: $tType ).
thf(type_def_77,type,
set_Pr1763845938948868674it_nat: $tType ).
thf(type_def_78,type,
set_Pr4334478416066269672t_unit: $tType ).
thf(type_def_79,type,
set_Pr5889264611543340172t_unit: $tType ).
thf(type_def_80,type,
set_Pr5908833319024110760_num_o: $tType ).
thf(type_def_81,type,
set_Pr5582243495563764594_nat_o: $tType ).
thf(type_def_82,type,
set_Pr8049984349381595834_int_o: $tType ).
thf(type_def_83,type,
set_Co726186806682698383nteger: $tType ).
thf(type_def_84,type,
produc8459935480633519975t_unit: $tType ).
thf(type_def_85,type,
set_Pr3309569728657787619r_char: $tType ).
thf(type_def_86,type,
set_Pr4256460214963601898ar_rat: $tType ).
thf(type_def_87,type,
set_Pr1413074515586503650ar_nat: $tType ).
thf(type_def_88,type,
set_Pr8146363407509552702ar_int: $tType ).
thf(type_def_89,type,
set_Pr8263365689940771946t_char: $tType ).
thf(type_def_90,type,
set_Pr5464989305201766866unit_o: $tType ).
thf(type_def_91,type,
set_Pr2926629348867340898t_char: $tType ).
thf(type_def_92,type,
set_Pr6671815714118170108t_unit: $tType ).
thf(type_def_93,type,
produc5288414631154139675_ref_a: $tType ).
thf(type_def_94,type,
set_he8644174446132254637t_unit: $tType ).
thf(type_def_95,type,
set_Pr8928021450653196913at_rat: $tType ).
thf(type_def_96,type,
set_Pr6084635751276098665at_nat: $tType ).
thf(type_def_97,type,
set_Pr3594552606344371909at_int: $tType ).
thf(type_def_98,type,
set_Pr8218934625190621173um_num: $tType ).
thf(type_def_99,type,
set_Pr3280342998896498603um_nat: $tType ).
thf(type_def_100,type,
set_Pr4105333604307423337at_rat: $tType ).
thf(type_def_101,type,
set_Pr6200539531224447659at_num: $tType ).
thf(type_def_102,type,
set_Pr1261947904930325089at_nat: $tType ).
thf(type_def_103,type,
set_Pr7995236796853374141at_int: $tType ).
thf(type_def_104,type,
set_Pr6292255179000445125nt_rat: $tType ).
thf(type_def_105,type,
set_Pr3448869479623346877nt_nat: $tType ).
thf(type_def_106,type,
set_Pr958786334691620121nt_int: $tType ).
thf(type_def_107,type,
produc2963269191615333738nteger: $tType ).
thf(type_def_108,type,
produc6315701296850634900it_rat: $tType ).
thf(type_def_109,type,
produc600557818389255820it_nat: $tType ).
thf(type_def_110,type,
produc526117512892780850t_unit: $tType ).
thf(type_def_111,type,
produc6865911496949736918t_unit: $tType ).
thf(type_def_112,type,
set_ch7814610555394875923t_unit: $tType ).
thf(type_def_113,type,
set_Sum_sum_nat_nat: $tType ).
thf(type_def_114,type,
produc4146679068158859416_a_num: $tType ).
thf(type_def_115,type,
produc3438435131210021710_a_nat: $tType ).
thf(type_def_116,type,
produc8483956148555600810_a_int: $tType ).
thf(type_def_117,type,
set_rat_Product_unit: $tType ).
thf(type_def_118,type,
set_nat_num_o: $tType ).
thf(type_def_119,type,
set_nat_nat_o: $tType ).
thf(type_def_120,type,
set_int_int_o: $tType ).
thf(type_def_121,type,
produc143505574896075907r_char: $tType ).
thf(type_def_122,type,
set_Pr3149072824959771635_nat_o: $tType ).
thf(type_def_123,type,
set_Pr903927857289325719_int_o: $tType ).
thf(type_def_124,type,
set_Pr2101469702781467981_o_nat: $tType ).
thf(type_def_125,type,
set_Pr8834758594704517033_o_int: $tType ).
thf(type_def_126,type,
produc6271795597528267376eger_o: $tType ).
thf(type_def_127,type,
produc414006230660905482ar_rat: $tType ).
thf(type_def_128,type,
produc3922234789054302210ar_nat: $tType ).
thf(type_def_129,type,
produc8967755806399881310ar_int: $tType ).
thf(type_def_130,type,
produc7485711547916492274unit_o: $tType ).
thf(type_def_131,type,
produc3788275437394581276t_unit: $tType ).
thf(type_def_132,type,
set_char_char: $tType ).
thf(type_def_133,type,
set_set_Product_unit: $tType ).
thf(type_def_134,type,
heap_e7401611519738050253t_unit: $tType ).
thf(type_def_135,type,
product_prod_rat_rat: $tType ).
thf(type_def_136,type,
product_prod_rat_nat: $tType ).
thf(type_def_137,type,
product_prod_rat_int: $tType ).
thf(type_def_138,type,
product_prod_num_num: $tType ).
thf(type_def_139,type,
product_prod_num_nat: $tType ).
thf(type_def_140,type,
product_prod_nat_rat: $tType ).
thf(type_def_141,type,
product_prod_nat_num: $tType ).
thf(type_def_142,type,
product_prod_nat_nat: $tType ).
thf(type_def_143,type,
product_prod_nat_int: $tType ).
thf(type_def_144,type,
product_prod_int_rat: $tType ).
thf(type_def_145,type,
product_prod_int_nat: $tType ).
thf(type_def_146,type,
product_prod_int_int: $tType ).
thf(type_def_147,type,
set_char_rat: $tType ).
thf(type_def_148,type,
set_char_nat: $tType ).
thf(type_def_149,type,
set_rat_char: $tType ).
thf(type_def_150,type,
set_nat_char: $tType ).
thf(type_def_151,type,
set_int_char: $tType ).
thf(type_def_152,type,
set_o_Product_unit: $tType ).
thf(type_def_153,type,
set_Product_prod_o_o: $tType ).
thf(type_def_154,type,
heap_H6156071679106078628t_unit: $tType ).
thf(type_def_155,type,
sum_sum_nat_nat: $tType ).
thf(type_def_156,type,
set_rat_rat: $tType ).
thf(type_def_157,type,
set_rat_nat: $tType ).
thf(type_def_158,type,
set_nat_rat: $tType ).
thf(type_def_159,type,
set_nat_nat: $tType ).
thf(type_def_160,type,
set_nat_int: $tType ).
thf(type_def_161,type,
set_int_rat: $tType ).
thf(type_def_162,type,
set_int_num: $tType ).
thf(type_def_163,type,
set_int_nat: $tType ).
thf(type_def_164,type,
set_int_int: $tType ).
thf(type_def_165,type,
heap_Heap_ref_a: $tType ).
thf(type_def_166,type,
set_set_char: $tType ).
thf(type_def_167,type,
pred_Product_unit: $tType ).
thf(type_def_168,type,
set_list_nat: $tType ).
thf(type_def_169,type,
product_prod_num_o: $tType ).
thf(type_def_170,type,
product_prod_nat_o: $tType ).
thf(type_def_171,type,
product_prod_int_o: $tType ).
thf(type_def_172,type,
product_prod_o_num: $tType ).
thf(type_def_173,type,
product_prod_o_nat: $tType ).
thf(type_def_174,type,
product_prod_o_int: $tType ).
thf(type_def_175,type,
set_char_o: $tType ).
thf(type_def_176,type,
set_set_rat: $tType ).
thf(type_def_177,type,
set_set_nat: $tType ).
thf(type_def_178,type,
set_set_int: $tType ).
thf(type_def_179,type,
set_Code_integer: $tType ).
thf(type_def_180,type,
set_Product_unit: $tType ).
thf(type_def_181,type,
set_rat_o: $tType ).
thf(type_def_182,type,
set_nat_o: $tType ).
thf(type_def_183,type,
set_int_o: $tType ).
thf(type_def_184,type,
set_o_nat: $tType ).
thf(type_def_185,type,
ref_ref_a: $tType ).
thf(type_def_186,type,
set_ref_a: $tType ).
thf(type_def_187,type,
product_prod_o_o: $tType ).
thf(type_def_188,type,
set_set_o: $tType ).
thf(type_def_189,type,
option_num: $tType ).
thf(type_def_190,type,
set_char: $tType ).
thf(type_def_191,type,
set_o_o: $tType ).
thf(type_def_192,type,
heap_Heap_a: $tType ).
thf(type_def_193,type,
list_nat: $tType ).
thf(type_def_194,type,
set_rat: $tType ).
thf(type_def_195,type,
set_num: $tType ).
thf(type_def_196,type,
set_nat: $tType ).
thf(type_def_197,type,
set_int: $tType ).
thf(type_def_198,type,
code_integer: $tType ).
thf(type_def_199,type,
product_unit: $tType ).
thf(type_def_200,type,
ref_a: $tType ).
thf(type_def_201,type,
literal: $tType ).
thf(type_def_202,type,
set_o: $tType ).
thf(type_def_203,type,
char: $tType ).
thf(type_def_204,type,
rat: $tType ).
thf(type_def_205,type,
num: $tType ).
thf(type_def_206,type,
nat: $tType ).
thf(type_def_207,type,
int: $tType ).
thf(type_def_208,type,
a: $tType ).
thf(type_def_209,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
archim3151403230148437115or_rat: rat > int ).
thf(func_def_1,type,
bNF_Ca5157130669891357211al_int: set_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_2,type,
bNF_Ca5159621140400407487al_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_3,type,
bNF_Ca8448034394003515314at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_4,type,
bNF_Ca6037544080215331608at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o ).
thf(func_def_5,type,
bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).
thf(func_def_6,type,
bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).
thf(func_def_7,type,
bNF_Ca402612664642806191nteger: set_Pr958786334691620121nt_int > ( int > code_integer ) > $o ).
thf(func_def_8,type,
bNF_Ca1965613569405424510nt_int: set_Pr958786334691620121nt_int > ( int > int ) > $o ).
thf(func_def_9,type,
bNF_Ca1968104039914474786nt_nat: set_Pr958786334691620121nt_int > ( int > nat ) > $o ).
thf(func_def_10,type,
bNF_Ca1332973979827979050nt_rat: set_Pr958786334691620121nt_int > ( int > rat ) > $o ).
thf(func_def_11,type,
bNF_Ca30959104405961555nteger: set_Pr1261947904930325089at_nat > ( nat > code_integer ) > $o ).
thf(func_def_12,type,
bNF_Ca966259857504369954at_int: set_Pr1261947904930325089at_nat > ( nat > int ) > $o ).
thf(func_def_13,type,
bNF_Ca968750328013420230at_nat: set_Pr1261947904930325089at_nat > ( nat > nat ) > $o ).
thf(func_def_14,type,
bNF_Ca333620267926924494at_rat: set_Pr1261947904930325089at_nat > ( nat > rat ) > $o ).
thf(func_def_15,type,
bNF_Ca4946600973702282345at_int: set_Pr4329608150637261639at_nat > ( set_Pr1261947904930325089at_nat > int ) > $o ).
thf(func_def_16,type,
bNF_Ca4949091444211332621at_nat: set_Pr4329608150637261639at_nat > ( set_Pr1261947904930325089at_nat > nat ) > $o ).
thf(func_def_17,type,
bNF_Gr_o_o: set_o > ( $o > $o ) > set_Product_prod_o_o ).
thf(func_def_18,type,
bNF_Gr_int_int: set_int > ( int > int ) > set_Pr958786334691620121nt_int ).
thf(func_def_19,type,
bNF_Gr_int_nat: set_int > ( int > nat ) > set_Pr3448869479623346877nt_nat ).
thf(func_def_20,type,
bNF_Gr_nat_int: set_nat > ( nat > int ) > set_Pr7995236796853374141at_int ).
thf(func_def_21,type,
bNF_Gr_nat_nat: set_nat > ( nat > nat ) > set_Pr1261947904930325089at_nat ).
thf(func_def_22,type,
bNF_Gr_nat_num: set_nat > ( nat > num ) > set_Pr6200539531224447659at_num ).
thf(func_def_23,type,
bNF_Gr_nat_rat: set_nat > ( nat > rat ) > set_Pr4105333604307423337at_rat ).
thf(func_def_24,type,
bNF_Gr_num_num: set_num > ( num > num ) > set_Pr8218934625190621173um_num ).
thf(func_def_25,type,
bNF_Gr1527221351080490466at_nat: set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr4329608150637261639at_nat ).
thf(func_def_26,type,
bNF_Gr7888059597227825506at_nat: set_se5479201105039950375at_nat > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr7459493094073627847at_nat ).
thf(func_def_27,type,
bNF_Gr1453458339979195462nteger: set_Co4375521073081744395nteger > ( ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
thf(func_def_28,type,
bNF_Gr4092539093814444494nteger: set_Co726186806682698383nteger > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
thf(func_def_29,type,
bNF_Gr2243168462153404386nt_nat: set_int_int > ( ( int > int ) > int > nat ) > ( int > int ) > ( int > nat ) > $o ).
thf(func_def_30,type,
bNF_Gr6763702254253555408nt_num: set_int_nat > ( ( int > nat ) > int > num ) > ( int > nat ) > ( int > num ) > $o ).
thf(func_def_31,type,
bNF_Gr318824752125099290nt_num: set_int_num > ( ( int > num ) > int > num ) > ( int > num ) > ( int > num ) > $o ).
thf(func_def_32,type,
bNF_Gr952524912132828525nt_int: set_in6154042108061588260nt_int > ( ( int > product_prod_int_int ) > int > int ) > ( int > product_prod_int_int ) > ( int > int ) > $o ).
thf(func_def_33,type,
bNF_Gr1462982377596425817nt_nat: set_in7748886932685137004at_nat > ( ( int > product_prod_nat_nat ) > int > nat ) > ( int > product_prod_nat_nat ) > ( int > nat ) > $o ).
thf(func_def_34,type,
bNF_Gr5590197745039885111nt_num: set_in3169746454734514176um_num > ( ( int > product_prod_num_num ) > int > num ) > ( int > product_prod_num_num ) > ( int > num ) > $o ).
thf(func_def_35,type,
bNF_Gr1532745923208276441at_nat: set_li2168235667650531768at_nat > ( ( list_nat > product_prod_nat_nat ) > list_nat > nat ) > ( list_nat > product_prod_nat_nat ) > ( list_nat > nat ) > $o ).
thf(func_def_36,type,
bNF_Grp_nat_o_nat_o: set_nat_o > ( ( nat > $o ) > nat > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_37,type,
bNF_Gr3847987472475283150at_nat: set_nat_nat > ( ( nat > nat ) > nat > nat ) > ( nat > nat ) > ( nat > nat ) > $o ).
thf(func_def_38,type,
bNF_Gr2878093617000900205at_int: set_na7251125088705586816nt_int > ( ( nat > product_prod_int_int ) > nat > int ) > ( nat > product_prod_int_int ) > ( nat > int ) > $o ).
thf(func_def_39,type,
bNF_Gr3388551082464497497at_nat: set_na8845969913329135560at_nat > ( ( nat > product_prod_nat_nat ) > nat > nat ) > ( nat > product_prod_nat_nat ) > ( nat > nat ) > $o ).
thf(func_def_40,type,
bNF_Gr6858100456814184557at_int: set_ra518564293221149304nt_int > ( ( rat > product_prod_int_int ) > rat > int ) > ( rat > product_prod_int_int ) > ( rat > int ) > $o ).
thf(func_def_41,type,
bNF_Gr7368557922277781849at_nat: set_ra2113409117844698048at_nat > ( ( rat > product_prod_nat_nat ) > rat > nat ) > ( rat > product_prod_nat_nat ) > ( rat > nat ) > $o ).
thf(func_def_42,type,
bNF_Gr6947267152677263533ar_int: set_ch6383161263842509759nt_int > ( ( char > product_prod_int_int ) > char > int ) > ( char > product_prod_int_int ) > ( char > int ) > $o ).
thf(func_def_43,type,
bNF_Gr1779741795384719769ar_nat: set_ch7978006088466058503at_nat > ( ( char > product_prod_nat_nat ) > char > nat ) > ( char > product_prod_nat_nat ) > ( char > nat ) > $o ).
thf(func_def_44,type,
bNF_Grp_o_o: set_o > ( $o > $o ) > $o > $o > $o ).
thf(func_def_45,type,
bNF_Gr395642070819736771t_unit: set_o > ( $o > product_unit ) > $o > product_unit > $o ).
thf(func_def_46,type,
bNF_Grp_o_rat: set_o > ( $o > rat ) > $o > rat > $o ).
thf(func_def_47,type,
bNF_Grp_o_char: set_o > ( $o > char ) > $o > char > $o ).
thf(func_def_48,type,
bNF_Gr6045950513751025625er_int: set_Code_integer > ( code_integer > int ) > code_integer > int > $o ).
thf(func_def_49,type,
bNF_Gr6510375311308651680t_unit: set_ref_a > ( ref_a > heap_e7401611519738050253t_unit ) > ref_a > heap_e7401611519738050253t_unit > $o ).
thf(func_def_50,type,
bNF_Gr6684649993275963353nteger: set_int > ( int > code_integer ) > int > code_integer > $o ).
thf(func_def_51,type,
bNF_Grp_int_int: set_int > ( int > int ) > int > int > $o ).
thf(func_def_52,type,
bNF_Grp_int_nat: set_int > ( int > nat ) > int > nat > $o ).
thf(func_def_53,type,
bNF_Grp_int_num: set_int > ( int > num ) > int > num > $o ).
thf(func_def_54,type,
bNF_Gr6591314147588017797at_nat: set_int > ( int > product_prod_nat_nat ) > int > product_prod_nat_nat > $o ).
thf(func_def_55,type,
bNF_Grp_int_rat: set_int > ( int > rat ) > int > rat > $o ).
thf(func_def_56,type,
bNF_Grp_int_char: set_int > ( int > char ) > int > char > $o ).
thf(func_def_57,type,
bNF_Grp_list_nat_int: set_list_nat > ( list_nat > int ) > list_nat > int > $o ).
thf(func_def_58,type,
bNF_Gr600725020315365264st_nat: set_list_nat > ( list_nat > list_nat ) > list_nat > list_nat > $o ).
thf(func_def_59,type,
bNF_Gr4119388860389678161at_nat: set_list_nat > ( list_nat > product_prod_nat_nat ) > list_nat > product_prod_nat_nat > $o ).
thf(func_def_60,type,
bNF_Grp_nat_o: set_nat > ( nat > $o ) > nat > $o > $o ).
thf(func_def_61,type,
bNF_Grp_nat_int: set_nat > ( nat > int ) > nat > int > $o ).
thf(func_def_62,type,
bNF_Grp_nat_nat: set_nat > ( nat > nat ) > nat > nat > $o ).
thf(func_def_63,type,
bNF_Grp_nat_num: set_nat > ( nat > num ) > nat > num > $o ).
thf(func_def_64,type,
bNF_Gr3553472063123884001at_nat: set_nat > ( nat > product_prod_nat_nat ) > nat > product_prod_nat_nat > $o ).
thf(func_def_65,type,
bNF_Gr1993012052113314029t_unit: set_nat > ( nat > product_unit ) > nat > product_unit > $o ).
thf(func_def_66,type,
bNF_Grp_nat_rat: set_nat > ( nat > rat ) > nat > rat > $o ).
thf(func_def_67,type,
bNF_Grp_nat_char: set_nat > ( nat > char ) > nat > char > $o ).
thf(func_def_68,type,
bNF_Grp_num_num: set_num > ( num > num ) > num > num > $o ).
thf(func_def_69,type,
bNF_Gr5237703264515865432t_unit: set_Pr1133966238863718811t_unit > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit > $o ).
thf(func_def_70,type,
bNF_Gr5964920315653434322_ref_a: set_Pr1133966238863718811t_unit > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > ref_a > $o ).
thf(func_def_71,type,
bNF_Gr2749509334501985047nt_int: set_Pr958786334691620121nt_int > ( product_prod_int_int > int ) > product_prod_int_int > int > $o ).
thf(func_def_72,type,
bNF_Gr8532703628021589765nt_num: set_Pr958786334691620121nt_int > ( product_prod_int_int > num ) > product_prod_int_int > num > $o ).
thf(func_def_73,type,
bNF_Gr8859634586176591525_nat_o: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o > $o ).
thf(func_def_74,type,
bNF_Gr190934199572118623at_int: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > int ) > product_prod_nat_nat > int > $o ).
thf(func_def_75,type,
bNF_Gr193424670081168899at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > nat > $o ).
thf(func_def_76,type,
bNF_Gr5974128493091723341at_num: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > num ) > product_prod_nat_nat > num > $o ).
thf(func_def_77,type,
bNF_Gr7275288873855648526at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_78,type,
bNF_Grp_rat_int: set_rat > ( rat > int ) > rat > int > $o ).
thf(func_def_79,type,
bNF_Grp_rat_nat: set_rat > ( rat > nat ) > rat > nat > $o ).
thf(func_def_80,type,
bNF_Gr6883301533820405721at_nat: set_rat > ( rat > product_prod_nat_nat ) > rat > product_prod_nat_nat > $o ).
thf(func_def_81,type,
bNF_Grp_rat_rat: set_rat > ( rat > rat ) > rat > rat > $o ).
thf(func_def_82,type,
bNF_Grp_rat_char: set_rat > ( rat > char ) > rat > char > $o ).
thf(func_def_83,type,
bNF_Gr6677838525845560078at_nat: set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_84,type,
bNF_Grp_char_int: set_char > ( char > int ) > char > int > $o ).
thf(func_def_85,type,
bNF_Grp_char_nat: set_char > ( char > nat ) > char > nat > $o ).
thf(func_def_86,type,
bNF_Gr8982933507515605408at_nat: set_char > ( char > product_prod_nat_nat ) > char > product_prod_nat_nat > $o ).
thf(func_def_87,type,
bNF_Grp_char_rat: set_char > ( char > rat ) > char > rat > $o ).
thf(func_def_88,type,
bNF_Grp_char_char: set_char > ( char > char ) > char > char > $o ).
thf(func_def_89,type,
bNF_co1764293801198077070nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > produc101387210554329899nteger ).
thf(func_def_90,type,
bNF_convol_o_o_o: ( $o > $o ) > ( $o > $o ) > $o > product_prod_o_o ).
thf(func_def_91,type,
bNF_convol_o_o_nat: ( $o > $o ) > ( $o > nat ) > $o > product_prod_o_nat ).
thf(func_def_92,type,
bNF_convol_o_nat_o: ( $o > nat ) > ( $o > $o ) > $o > product_prod_nat_o ).
thf(func_def_93,type,
bNF_convol_o_nat_nat: ( $o > nat ) > ( $o > nat ) > $o > product_prod_nat_nat ).
thf(func_def_94,type,
bNF_convol_o_num_nat: ( $o > num ) > ( $o > nat ) > $o > product_prod_num_nat ).
thf(func_def_95,type,
bNF_co6169604788974073338nteger: ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer > code_integer ) > code_integer > produc723880050079548563nteger ).
thf(func_def_96,type,
bNF_co3156833790671340178nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > produc101387210554329899nteger ).
thf(func_def_97,type,
bNF_co2174166945328636015nt_int: ( int > int ) > ( int > int ) > int > product_prod_int_int ).
thf(func_def_98,type,
bNF_co2176657415837686291nt_nat: ( int > int ) > ( int > nat ) > int > product_prod_int_nat ).
thf(func_def_99,type,
bNF_co1174813233427581459at_int: ( int > nat ) > ( int > int ) > int > product_prod_nat_int ).
thf(func_def_100,type,
bNF_co1177303703936631735at_nat: ( int > nat ) > ( int > nat ) > int > product_prod_nat_nat ).
thf(func_def_101,type,
bNF_co6958007526947186177at_num: ( int > nat ) > ( int > num ) > int > product_prod_nat_num ).
thf(func_def_102,type,
bNF_co8531006144098876929um_nat: ( int > num ) > ( int > nat ) > int > product_prod_num_nat ).
thf(func_def_103,type,
bNF_co5088337930254655563um_num: ( int > num ) > ( int > num ) > int > product_prod_num_num ).
thf(func_def_104,type,
bNF_convol_nat_o_o: ( nat > $o ) > ( nat > $o ) > nat > product_prod_o_o ).
thf(func_def_105,type,
bNF_convol_nat_o_nat: ( nat > $o ) > ( nat > nat ) > nat > product_prod_o_nat ).
thf(func_def_106,type,
bNF_convol_nat_nat_o: ( nat > nat ) > ( nat > $o ) > nat > product_prod_nat_o ).
thf(func_def_107,type,
bNF_co805650143699787099at_nat: ( nat > nat ) > ( nat > nat ) > nat > product_prod_nat_nat ).
thf(func_def_108,type,
bNF_convol_nat_num_o: ( nat > num ) > ( nat > $o ) > nat > product_prod_num_o ).
thf(func_def_109,type,
bNF_co8159352583862032293um_nat: ( nat > num ) > ( nat > nat ) > nat > product_prod_num_nat ).
thf(func_def_110,type,
bNF_co4716684370017810927um_num: ( nat > num ) > ( nat > num ) > nat > product_prod_num_num ).
thf(func_def_111,type,
bNF_convol_num_o_nat: ( num > $o ) > ( num > nat ) > num > product_prod_o_nat ).
thf(func_def_112,type,
bNF_co7969830008525221797at_nat: ( num > nat ) > ( num > nat ) > num > product_prod_nat_nat ).
thf(func_def_113,type,
bNF_co6100160411832691183um_nat: ( num > num ) > ( num > nat ) > num > product_prod_num_nat ).
thf(func_def_114,type,
bNF_co6607689160745551784nt_int: ( produc7812382424243267045t_unit > int ) > ( produc7812382424243267045t_unit > int ) > produc7812382424243267045t_unit > product_prod_int_int ).
thf(func_def_115,type,
bNF_co5610825919353547504at_nat: ( produc7812382424243267045t_unit > nat ) > ( produc7812382424243267045t_unit > nat ) > produc7812382424243267045t_unit > product_prod_nat_nat ).
thf(func_def_116,type,
bNF_co3748779267718262122nt_int: ( product_prod_int_int > int ) > ( product_prod_int_int > int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_117,type,
bNF_co2751916026326257842at_nat: ( product_prod_int_int > nat ) > ( product_prod_int_int > nat ) > product_prod_int_int > product_prod_nat_nat ).
thf(func_def_118,type,
bNF_co49787548815638194nt_int: ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > int ) > product_prod_nat_nat > product_prod_int_int ).
thf(func_def_119,type,
bNF_co8276296344278409722at_nat: ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_120,type,
bNF_co147202357524637304at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ).
thf(func_def_121,type,
bNF_cs4943907971211754724nteger: set_Pr8415741480598773322nteger > ( product_prod_int_int > int ) > ( produc2963269191615333738nteger > int ) > ( produc2963269191615333738nteger > product_prod_int_int ) > ( produc2963269191615333738nteger > produc2963269191615333738nteger ) > $o ).
thf(func_def_122,type,
bNF_cs7194553038297458973at_int: set_Pr49084382684228242at_int > ( produc859450856879609959at_nat > product_prod_nat_nat ) > ( produc4196048018000912732at_int > product_prod_nat_nat ) > ( produc4196048018000912732at_int > produc859450856879609959at_nat ) > ( produc4196048018000912732at_int > produc4196048018000912732at_int ) > $o ).
thf(func_def_123,type,
bNF_fs409234558581511823t_unit: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > $o ) > produc7812382424243267045t_unit > produc7812382424243267045t_unit ).
thf(func_def_124,type,
bNF_fs4543836202474805097nteger: ( int > int > $o ) > ( int > code_integer > $o ) > produc2963269191615333738nteger > product_prod_int_int ).
thf(func_def_125,type,
bNF_fs8167890477030535480nt_int: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_126,type,
bNF_fs6799373675401686564at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_127,type,
bNF_fs6342258632037972510at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > produc4196048018000912732at_int > produc859450856879609959at_nat ).
thf(func_def_128,type,
bNF_fs1946732770515719151at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
thf(func_def_129,type,
bNF_pi4515785505327359899nteger: ( int > int > $o ) > ( int > code_integer > $o ) > int > code_integer > int ).
thf(func_def_130,type,
bNF_pi770922605693484880at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat > int > product_prod_nat_nat ).
thf(func_def_131,type,
bNF_re6580757339198446453_nat_o: ( ( $o > $o ) > ( $o > $o ) > $o ) > ( ( ( nat > $o ) > nat > $o ) > ( ( nat > $o ) > nat > $o ) > $o ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > $o ).
thf(func_def_132,type,
bNF_re7413876800493218871nt_nat: ( ( $o > $o ) > ( int > nat ) > $o ) > ( ( ( nat > $o ) > nat > $o ) > ( ( int > int ) > int > nat ) > $o ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > ( ( int > nat ) > ( int > int ) > int > nat ) > $o ).
thf(func_def_133,type,
bNF_re1515921786380824775at_nat: ( ( $o > $o ) > ( nat > nat ) > $o ) > ( ( ( nat > $o ) > nat > $o ) > ( ( nat > nat ) > nat > nat ) > $o ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > $o ).
thf(func_def_134,type,
bNF_re7387973359137000979nt_num: ( ( $o > $o ) > ( nat > num ) > $o ) > ( ( ( nat > $o ) > nat > $o ) > ( ( int > nat ) > int > num ) > $o ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).
thf(func_def_135,type,
bNF_re2961086658867094474nt_num: ( ( int > int ) > ( int > code_integer ) > $o ) > ( ( int > num ) > ( int > num ) > $o ) > ( ( int > int ) > int > num ) > ( ( int > code_integer ) > int > num ) > $o ).
thf(func_def_136,type,
bNF_re2034674868506727813nt_nat: ( ( int > int ) > ( int > int ) > $o ) > ( ( int > nat ) > ( int > nat ) > $o ) > ( ( int > int ) > int > nat ) > ( ( int > int ) > int > nat ) > $o ).
thf(func_def_137,type,
bNF_re7492190849051111027nt_num: ( ( int > int ) > ( int > nat ) > $o ) > ( ( int > nat ) > ( int > num ) > $o ) > ( ( int > int ) > int > nat ) > ( ( int > nat ) > int > num ) > $o ).
thf(func_def_138,type,
bNF_re5502197115626545091er_num: ( ( int > nat ) > ( code_integer > nat ) > $o ) > ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( int > nat ) > int > num ) > ( ( code_integer > nat ) > code_integer > num ) > $o ).
thf(func_def_139,type,
bNF_re3642433447925381491nt_nat: ( ( int > nat ) > ( int > int ) > $o ) > ( ( int > num ) > ( int > nat ) > $o ) > ( ( int > nat ) > int > num ) > ( ( int > int ) > int > nat ) > $o ).
thf(func_def_140,type,
bNF_re6307232852808291833nt_nat: ( ( int > nat ) > ( int > nat ) > $o ) > ( ( ( int > int ) > int > nat ) > ( ( int > int ) > int > nat ) > $o ) > ( ( int > nat ) > ( int > int ) > int > nat ) > ( ( int > nat ) > ( int > int ) > int > nat ) > $o ).
thf(func_def_141,type,
bNF_re4099335476084980305nt_nat: ( ( int > nat ) > ( int > nat ) > $o ) > ( ( ( product_prod_nat_nat > int ) > product_prod_nat_nat > nat ) > ( ( int > int ) > int > nat ) > $o ) > ( ( int > nat ) > ( product_prod_nat_nat > int ) > product_prod_nat_nat > nat ) > ( ( int > nat ) > ( int > int ) > int > nat ) > $o ).
thf(func_def_142,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_143,type,
bNF_re7435575058205011731_nat_o: ( ( int > nat ) > ( nat > $o ) > $o ) > ( ( int > num ) > ( nat > $o ) > $o ) > ( ( int > nat ) > int > num ) > ( ( nat > $o ) > nat > $o ) > $o ).
thf(func_def_144,type,
bNF_re717418264989850719at_nat: ( ( int > nat ) > ( nat > nat ) > $o ) > ( ( int > num ) > ( nat > nat ) > $o ) > ( ( int > nat ) > int > num ) > ( ( nat > nat ) > nat > nat ) > $o ).
thf(func_def_145,type,
bNF_re4310571189260822741nt_num: ( ( int > nat ) > ( nat > num ) > $o ) > ( ( ( int > int ) > int > nat ) > ( ( int > nat ) > int > num ) > $o ) > ( ( int > nat ) > ( int > int ) > int > nat ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).
thf(func_def_146,type,
bNF_re7839584876883444355nt_num: ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( ( int > int ) > int > num ) > ( ( int > code_integer ) > int > num ) > $o ) > ( ( int > num ) > ( int > int ) > int > num ) > ( ( code_integer > num ) > ( int > code_integer ) > int > num ) > $o ).
thf(func_def_147,type,
bNF_re6292805115969292119er_num: ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( int > num ) > int > num ) > ( ( code_integer > num ) > code_integer > num ) > $o ).
thf(func_def_148,type,
bNF_re4768042542643474933nt_num: ( ( int > num ) > ( int > num ) > $o ) > ( ( int > num ) > ( int > num ) > $o ) > ( ( int > num ) > int > num ) > ( ( int > num ) > int > num ) > $o ).
thf(func_def_149,type,
bNF_re1982657550219213441nt_nat: ( ( nat > $o ) > ( int > int ) > $o ) > ( ( nat > $o ) > ( int > nat ) > $o ) > ( ( nat > $o ) > nat > $o ) > ( ( int > int ) > int > nat ) > $o ).
thf(func_def_150,type,
bNF_re4102725726183926567nt_num: ( ( nat > $o ) > ( int > nat ) > $o ) > ( ( nat > $o ) > ( int > num ) > $o ) > ( ( nat > $o ) > nat > $o ) > ( ( int > nat ) > int > num ) > $o ).
thf(func_def_151,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_152,type,
bNF_re2144779315220482269at_nat: ( ( nat > $o ) > ( nat > nat ) > $o ) > ( ( nat > $o ) > ( nat > nat ) > $o ) > ( ( nat > $o ) > nat > $o ) > ( ( nat > nat ) > nat > nat ) > $o ).
thf(func_def_153,type,
bNF_re3930744952143938759_nat_o: ( ( nat > nat ) > ( $o > $o ) > $o ) > ( ( ( nat > nat ) > nat > nat ) > ( ( nat > $o ) > nat > $o ) > $o ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > $o ).
thf(func_def_154,type,
bNF_re8622501330148003679nt_num: ( ( nat > nat ) > ( int > nat ) > $o ) > ( ( nat > nat ) > ( int > num ) > $o ) > ( ( nat > nat ) > nat > nat ) > ( ( int > nat ) > int > num ) > $o ).
thf(func_def_155,type,
bNF_re7744223787735169245_nat_o: ( ( nat > nat ) > ( nat > $o ) > $o ) > ( ( nat > nat ) > ( nat > $o ) > $o ) > ( ( nat > nat ) > nat > nat ) > ( ( nat > $o ) > nat > $o ) > $o ).
thf(func_def_156,type,
bNF_re3262823321055862553at_nat: ( ( nat > nat ) > ( nat > nat ) > $o ) > ( ( ( nat > nat ) > nat > nat ) > ( ( nat > nat ) > nat > nat ) > $o ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > $o ).
thf(func_def_157,type,
bNF_re1160762158786734233nt_nat: ( ( nat > nat ) > ( nat > nat ) > $o ) > ( ( ( product_prod_nat_nat > nat ) > product_prod_nat_nat > nat ) > ( ( int > nat ) > int > nat ) > $o ) > ( ( nat > nat ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > nat ) > ( ( nat > nat ) > ( int > nat ) > int > nat ) > $o ).
thf(func_def_158,type,
bNF_re239970166668089693at_nat: ( ( nat > nat ) > ( nat > nat ) > $o ) > ( ( nat > nat ) > ( nat > nat ) > $o ) > ( ( nat > nat ) > nat > nat ) > ( ( nat > nat ) > nat > nat ) > $o ).
thf(func_def_159,type,
bNF_re584878643992547173nt_num: ( ( nat > nat ) > ( nat > num ) > $o ) > ( ( ( nat > nat ) > nat > nat ) > ( ( int > nat ) > int > num ) > $o ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).
thf(func_def_160,type,
bNF_re3931674169038344211_nat_o: ( ( nat > num ) > ( $o > $o ) > $o ) > ( ( ( int > nat ) > int > num ) > ( ( nat > $o ) > nat > $o ) > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > ( ( $o > $o ) > ( nat > $o ) > nat > $o ) > $o ).
thf(func_def_161,type,
bNF_re5843449549409830101nt_nat: ( ( nat > num ) > ( int > nat ) > $o ) > ( ( ( int > nat ) > int > num ) > ( ( int > int ) > int > nat ) > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > ( ( int > nat ) > ( int > int ) > int > nat ) > $o ).
thf(func_def_162,type,
bNF_re6524732562925676389at_nat: ( ( nat > num ) > ( nat > nat ) > $o ) > ( ( ( int > nat ) > int > num ) > ( ( nat > nat ) > nat > nat ) > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > ( ( nat > nat ) > ( nat > nat ) > nat > nat ) > $o ).
thf(func_def_163,type,
bNF_re2655444144887082515er_num: ( ( nat > num ) > ( nat > num ) > $o ) > ( ( ( int > nat ) > int > num ) > ( ( code_integer > nat ) > code_integer > num ) > $o ) > ( ( nat > num ) > ( int > nat ) > int > num ) > ( ( nat > num ) > ( code_integer > nat ) > code_integer > num ) > $o ).
thf(func_def_164,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_165,type,
bNF_re2742285375668209089nt_num: ( ( nat > num ) > ( nat > num ) > $o ) > ( ( ( product_prod_nat_nat > nat ) > product_prod_nat_nat > num ) > ( ( int > nat ) > int > num ) > $o ) > ( ( nat > num ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > num ) > ( ( nat > num ) > ( int > nat ) > int > num ) > $o ).
thf(func_def_166,type,
bNF_re4105200416192800571er_num: ( ( num > num ) > ( num > num ) > $o ) > ( ( ( int > num ) > int > num ) > ( ( code_integer > num ) > code_integer > num ) > $o ) > ( ( num > num ) > ( int > num ) > int > num ) > ( ( num > num ) > ( code_integer > num ) > code_integer > num ) > $o ).
thf(func_def_167,type,
bNF_re5446066262214944985nt_num: ( ( num > num ) > ( num > num ) > $o ) > ( ( ( int > num ) > int > num ) > ( ( int > num ) > int > num ) > $o ) > ( ( num > num ) > ( int > num ) > int > num ) > ( ( num > num ) > ( int > num ) > int > num ) > $o ).
thf(func_def_168,type,
bNF_re3284331099615978085nt_nat: ( ( product_prod_nat_nat > int ) > ( int > int ) > $o ) > ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( product_prod_nat_nat > int ) > product_prod_nat_nat > nat ) > ( ( int > int ) > int > nat ) > $o ).
thf(func_def_169,type,
bNF_re8419181437172746013nt_nat: ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( product_prod_nat_nat > nat ) > product_prod_nat_nat > nat ) > ( ( int > nat ) > int > nat ) > $o ).
thf(func_def_170,type,
bNF_re2682547871993127601nt_num: ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( product_prod_nat_nat > num ) > ( int > num ) > $o ) > ( ( product_prod_nat_nat > nat ) > product_prod_nat_nat > num ) > ( ( int > nat ) > int > num ) > $o ).
thf(func_def_171,type,
bNF_rel_fun_o_o_o_o: ( $o > $o > $o ) > ( $o > $o > $o ) > ( $o > $o ) > ( $o > $o ) > $o ).
thf(func_def_172,type,
bNF_re4895681925607069953_o_nat: ( $o > int > $o ) > ( $o > nat > $o ) > ( $o > $o ) > ( int > nat ) > $o ).
thf(func_def_173,type,
bNF_re4209105892566519389_o_nat: ( $o > nat > $o ) > ( $o > nat > $o ) > ( $o > $o ) > ( nat > nat ) > $o ).
thf(func_def_174,type,
bNF_re766437678722298023_o_num: ( $o > nat > $o ) > ( $o > num > $o ) > ( $o > $o ) > ( nat > num ) > $o ).
thf(func_def_175,type,
bNF_re1181178334029315097nteger: ( code_integer > code_integer > $o ) > ( ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( code_integer > code_integer > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
thf(func_def_176,type,
bNF_re40212662316476751um_num: ( code_integer > code_integer > $o ) > ( num > num > $o ) > ( code_integer > num ) > ( code_integer > num ) > $o ).
thf(func_def_177,type,
bNF_re8313794964846168862um_num: ( code_integer > int > $o ) > ( num > num > $o ) > ( code_integer > num ) > ( int > num ) > $o ).
thf(func_def_178,type,
bNF_re1366391616432607057unit_o: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( ( ref_a > $o ) > ( heap_e7401611519738050253t_unit > $o ) > $o ) > ( ref_a > ref_a > $o ) > ( heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > $o ) > $o ).
thf(func_def_179,type,
bNF_re5775369113877777_int_o: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( ref_a > int > $o ) > ( heap_e7401611519738050253t_unit > int > $o ) > $o ).
thf(func_def_180,type,
bNF_re9202112420002600977_nat_o: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( ref_a > nat > $o ) > ( heap_e7401611519738050253t_unit > nat > $o ) > $o ).
thf(func_def_181,type,
bNF_re1850668159662942673it_o_o: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( $o > $o > $o ) > ( ref_a > $o ) > ( heap_e7401611519738050253t_unit > $o ) > $o ).
thf(func_def_182,type,
bNF_re3379532845092657523nteger: ( int > code_integer > $o ) > ( int > code_integer > $o ) > ( int > int ) > ( code_integer > code_integer ) > $o ).
thf(func_def_183,type,
bNF_re2807294637932363402at_nat: ( int > code_integer > $o ) > ( nat > nat > $o ) > ( int > nat ) > ( code_integer > nat ) > $o ).
thf(func_def_184,type,
bNF_re6718328864250387230um_num: ( int > code_integer > $o ) > ( num > num > $o ) > ( int > num ) > ( code_integer > num ) > $o ).
thf(func_def_185,type,
bNF_re2828929484557863493at_int: ( int > code_integer > $o ) > ( product_prod_nat_nat > int > $o ) > ( int > product_prod_nat_nat ) > ( code_integer > int ) > $o ).
thf(func_def_186,type,
bNF_re5404797796594736747unit_o: ( int > int > $o ) > ( ( ref_a > $o ) > ( heap_e7401611519738050253t_unit > $o ) > $o ) > ( int > ref_a > $o ) > ( int > heap_e7401611519738050253t_unit > $o ) > $o ).
thf(func_def_187,type,
bNF_re3403563459893282935_int_o: ( int > int > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( int > int > $o ) > ( int > int > $o ) > $o ).
thf(func_def_188,type,
bNF_re3376528473927230327_nat_o: ( int > int > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( int > nat > $o ) > ( int > nat > $o ) > $o ).
thf(func_def_189,type,
bNF_re5089333283451836215nt_o_o: ( int > int > $o ) > ( $o > $o > $o ) > ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_190,type,
bNF_re982302072995117890nteger: ( int > int > $o ) > ( int > code_integer > $o ) > ( int > int ) > ( int > code_integer ) > $o ).
thf(func_def_191,type,
bNF_re4712519889275205905nt_int: ( int > int > $o ) > ( int > int > $o ) > ( int > int ) > ( int > int ) > $o ).
thf(func_def_192,type,
bNF_re4715010359784256181nt_nat: ( int > int > $o ) > ( int > nat > $o ) > ( int > int ) > ( int > nat ) > $o ).
thf(func_def_193,type,
bNF_re3713166177374151349at_int: ( int > int > $o ) > ( nat > int > $o ) > ( int > nat ) > ( int > int ) > $o ).
thf(func_def_194,type,
bNF_re3715656647883201625at_nat: ( int > int > $o ) > ( nat > nat > $o ) > ( int > nat ) > ( int > nat ) > $o ).
thf(func_def_195,type,
bNF_re272988434038980259at_num: ( int > int > $o ) > ( nat > num > $o ) > ( int > nat ) > ( int > num ) > $o ).
thf(func_def_196,type,
bNF_re1845987051190671011um_nat: ( int > int > $o ) > ( num > nat > $o ) > ( int > num ) > ( int > nat ) > $o ).
thf(func_def_197,type,
bNF_re7626690874201225453um_num: ( int > int > $o ) > ( num > num > $o ) > ( int > num ) > ( int > num ) > $o ).
thf(func_def_198,type,
bNF_re8766404587435608311at_nat: ( int > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > $o ).
thf(func_def_199,type,
bNF_re4914077030771115051_nat_o: ( int > nat > $o ) > ( nat > $o > $o ) > ( int > nat ) > ( nat > $o ) > $o ).
thf(func_def_200,type,
bNF_re3344003087646356989at_nat: ( int > nat > $o ) > ( nat > nat > $o ) > ( int > nat ) > ( nat > nat ) > $o ).
thf(func_def_201,type,
bNF_re9124706910656911431at_num: ( int > nat > $o ) > ( nat > num > $o ) > ( int > nat ) > ( nat > num ) > $o ).
thf(func_def_202,type,
bNF_re3760060065607074657_num_o: ( int > nat > $o ) > ( num > $o > $o ) > ( int > num ) > ( nat > $o ) > $o ).
thf(func_def_203,type,
bNF_re1474333490953826375um_nat: ( int > nat > $o ) > ( num > nat > $o ) > ( int > num ) > ( nat > nat ) > $o ).
thf(func_def_204,type,
bNF_re4629543205785817921at_nat: ( list_nat > list_nat > $o ) > ( nat > nat > $o ) > ( list_nat > nat ) > ( list_nat > nat ) > $o ).
thf(func_def_205,type,
bNF_re439150893885221597_nat_o: ( nat > $o > $o ) > ( nat > $o > $o ) > ( nat > nat ) > ( $o > $o ) > $o ).
thf(func_def_206,type,
bNF_re8508505965575957011_num_o: ( nat > $o > $o ) > ( num > $o > $o ) > ( nat > num ) > ( $o > $o ) > $o ).
thf(func_def_207,type,
bNF_re8207659476513966505_o_int: ( nat > int > $o ) > ( $o > int > $o ) > ( nat > $o ) > ( int > int ) > $o ).
thf(func_def_208,type,
bNF_re8210149947023016781_o_nat: ( nat > int > $o ) > ( $o > nat > $o ) > ( nat > $o ) > ( int > nat ) > $o ).
thf(func_def_209,type,
bNF_re4767481733178795415_o_num: ( nat > int > $o ) > ( $o > num > $o ) > ( nat > $o ) > ( int > num ) > $o ).
thf(func_def_210,type,
bNF_re6025474579976152573at_nat: ( nat > int > $o ) > ( nat > nat > $o ) > ( nat > nat ) > ( int > nat ) > $o ).
thf(func_def_211,type,
bNF_re2582806366131931207at_num: ( nat > int > $o ) > ( nat > num > $o ) > ( nat > nat ) > ( int > num ) > $o ).
thf(func_def_212,type,
bNF_re4155804983283621959um_nat: ( nat > int > $o ) > ( num > nat > $o ) > ( nat > num ) > ( int > nat ) > $o ).
thf(func_def_213,type,
bNF_re5655699643857186083unit_o: ( nat > nat > $o ) > ( ( ref_a > $o ) > ( heap_e7401611519738050253t_unit > $o ) > $o ) > ( nat > ref_a > $o ) > ( nat > heap_e7401611519738050253t_unit > $o ) > $o ).
thf(func_def_214,type,
bNF_re605504016728627135_int_o: ( nat > nat > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( nat > int > $o ) > ( nat > int > $o ) > $o ).
thf(func_def_215,type,
bNF_re578469030762574527_nat_o: ( nat > nat > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_216,type,
bNF_re4705727531993890431at_o_o: ( nat > nat > $o ) > ( $o > $o > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_217,type,
bNF_re7523573913982466217_o_nat: ( nat > nat > $o ) > ( $o > nat > $o ) > ( nat > $o ) > ( nat > nat ) > $o ).
thf(func_def_218,type,
bNF_re6650684261131312217nt_int: ( nat > nat > $o ) > ( int > int > $o ) > ( nat > int ) > ( nat > int ) > $o ).
thf(func_def_219,type,
bNF_re1402873238235875719_nat_o: ( nat > nat > $o ) > ( nat > $o > $o ) > ( nat > nat ) > ( nat > $o ) > $o ).
thf(func_def_220,type,
bNF_re5653821019739307937at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > ( nat > nat ) > ( nat > nat ) > $o ).
thf(func_def_221,type,
bNF_re2211152805895086571at_num: ( nat > nat > $o ) > ( nat > num > $o ) > ( nat > nat ) > ( nat > num ) > $o ).
thf(func_def_222,type,
bNF_re3784151423046777323um_nat: ( nat > nat > $o ) > ( num > nat > $o ) > ( nat > num ) > ( nat > nat ) > $o ).
thf(func_def_223,type,
bNF_re341483209202555957um_num: ( nat > nat > $o ) > ( num > num > $o ) > ( nat > num ) > ( nat > num ) > $o ).
thf(func_def_224,type,
bNF_re4702136315717946289at_rat: ( nat > nat > $o ) > ( rat > rat > $o ) > ( nat > rat ) > ( nat > rat ) > $o ).
thf(func_def_225,type,
bNF_re4736500879113541833um_num: ( num > num > $o ) > ( num > num > $o ) > ( num > num ) > ( num > num ) > $o ).
thf(func_def_226,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_227,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_228,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_229,type,
bNF_re6202762543029211035nteger: ( product_prod_nat_nat > int > $o ) > ( int > code_integer > $o ) > ( product_prod_nat_nat > int ) > ( int > code_integer ) > $o ).
thf(func_def_230,type,
bNF_re5552630237950767466nt_int: ( product_prod_nat_nat > int > $o ) > ( int > int > $o ) > ( product_prod_nat_nat > int ) > ( int > int ) > $o ).
thf(func_def_231,type,
bNF_re4555766996558763186at_nat: ( product_prod_nat_nat > int > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ).
thf(func_def_232,type,
bNF_re8466801222876787014um_num: ( product_prod_nat_nat > int > $o ) > ( num > num > $o ) > ( product_prod_nat_nat > num ) > ( int > num ) > $o ).
thf(func_def_233,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_234,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_235,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_236,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_237,type,
bNF_re20414067882207223nt_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > int > $o ) > ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > int ) > $o ).
thf(func_def_238,type,
bNF_re8246922863344978751at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > $o ).
thf(func_def_239,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_240,type,
bNF_re1865807574169326223at_o_o: ( rat > rat > $o ) > ( $o > $o > $o ) > ( rat > $o ) > ( rat > $o ) > $o ).
thf(func_def_241,type,
bNF_re7554818335971813481nt_int: ( rat > rat > $o ) > ( int > int > $o ) > ( rat > int ) > ( rat > int ) > $o ).
thf(func_def_242,type,
bNF_re6557955094579809201at_nat: ( rat > rat > $o ) > ( nat > nat > $o ) > ( rat > nat ) > ( rat > nat ) > $o ).
thf(func_def_243,type,
bNF_re1692451286490762625ar_o_o: ( char > char > $o ) > ( $o > $o > $o ) > ( char > $o ) > ( char > $o ) > $o ).
thf(func_def_244,type,
bNF_re4780507660726531203_o_int: ( char > char > $o ) > ( $o > int > $o ) > ( char > $o ) > ( char > int ) > $o ).
thf(func_def_245,type,
bNF_re4782998131235581479_o_nat: ( char > char > $o ) > ( $o > nat > $o ) > ( char > $o ) > ( char > nat ) > $o ).
thf(func_def_246,type,
bNF_re6064627146911078825_int_o: ( char > char > $o ) > ( int > $o > $o ) > ( char > int ) > ( char > $o ) > $o ).
thf(func_def_247,type,
bNF_re4731199128827642459nt_int: ( char > char > $o ) > ( int > int > $o ) > ( char > int ) > ( char > int ) > $o ).
thf(func_def_248,type,
bNF_re4733689599336692735nt_nat: ( char > char > $o ) > ( int > nat > $o ) > ( char > int ) > ( char > nat ) > $o ).
thf(func_def_249,type,
bNF_re7885669492343766789_nat_o: ( char > char > $o ) > ( nat > $o > $o ) > ( char > nat ) > ( char > $o ) > $o ).
thf(func_def_250,type,
bNF_re3731845416926587903at_int: ( char > char > $o ) > ( nat > int > $o ) > ( char > nat ) > ( char > int ) > $o ).
thf(func_def_251,type,
bNF_re3734335887435638179at_nat: ( char > char > $o ) > ( nat > nat > $o ) > ( char > nat ) > ( char > nat ) > $o ).
thf(func_def_252,type,
bNF_sn8323453914685745821t_unit: ( ref_a > ref_a > $o ) > ( ref_a > heap_e7401611519738050253t_unit > $o ) > produc7812382424243267045t_unit > produc7812382424243267045t_unit ).
thf(func_def_253,type,
bNF_sn8000174127721201323nteger: ( int > int > $o ) > ( int > code_integer > $o ) > produc2963269191615333738nteger > produc2963269191615333738nteger ).
thf(func_def_254,type,
bNF_sn1062102010912252026nt_int: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_255,type,
bNF_sn8916957246138178918at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_256,type,
bNF_sn649997494946348640at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > produc4196048018000912732at_int > produc4196048018000912732at_int ).
thf(func_def_257,type,
bNF_sn1857951156667551021at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
thf(func_def_258,type,
bNF_vi7828673959370436579_int_o: ( ref_a > int ) > ( heap_e7401611519738050253t_unit > int ) > ( int > int > $o ) > ref_a > heap_e7401611519738050253t_unit > $o ).
thf(func_def_259,type,
bNF_vi4623496019404053219_nat_o: ( ref_a > nat ) > ( heap_e7401611519738050253t_unit > nat ) > ( nat > nat > $o ) > ref_a > heap_e7401611519738050253t_unit > $o ).
thf(func_def_260,type,
bNF_vi699694178825965831eger_o: ( int > int ) > ( code_integer > code_integer ) > ( int > code_integer > $o ) > int > code_integer > $o ).
thf(func_def_261,type,
bNF_vi2125572119366604152_int_o: ( int > int ) > ( code_integer > int ) > ( int > int > $o ) > int > code_integer > $o ).
thf(func_def_262,type,
bNF_vi3884084463199473129_int_o: ( int > int ) > ( int > int ) > ( int > int > $o ) > int > int > $o ).
thf(func_def_263,type,
bNF_vi3197508430158922565_int_o: ( int > int ) > ( nat > int ) > ( int > int > $o ) > int > nat > $o ).
thf(func_def_264,type,
bNF_vi5018550775591610529_nat_o: ( int > int ) > ( nat > nat ) > ( int > nat > $o ) > int > nat > $o ).
thf(func_def_265,type,
bNF_vi1281217848275042457_rat_o: ( int > int ) > ( nat > rat ) > ( int > rat > $o ) > int > nat > $o ).
thf(func_def_266,type,
bNF_vi9149698133064535136char_o: ( int > int ) > ( nat > char ) > ( int > char > $o ) > int > nat > $o ).
thf(func_def_267,type,
bNF_vi2193923016096921761_nat_o: ( int > nat ) > ( int > nat ) > ( nat > nat > $o ) > int > int > $o ).
thf(func_def_268,type,
bNF_vi7769575839906753835_rat_o: ( int > nat ) > ( num > rat ) > ( nat > rat > $o ) > int > num > $o ).
thf(func_def_269,type,
bNF_vi1300075849944819442char_o: ( int > nat ) > ( num > char ) > ( nat > char > $o ) > int > num > $o ).
thf(func_def_270,type,
bNF_vi2326032003723069084_num_o: ( int > num ) > ( code_integer > num ) > ( num > num > $o ) > int > code_integer > $o ).
thf(func_def_271,type,
bNF_vi2107963681178519309_num_o: ( int > num ) > ( int > num ) > ( num > num > $o ) > int > int > $o ).
thf(func_def_272,type,
bNF_vi2881549544236934259_int_o: ( int > product_prod_nat_nat ) > ( code_integer > int ) > ( product_prod_nat_nat > int > $o ) > int > code_integer > $o ).
thf(func_def_273,type,
bNF_vi1204582724742824157_nat_o: ( int > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > int > int > $o ).
thf(func_def_274,type,
bNF_vi467646977814820164_int_o: ( list_nat > int ) > ( code_integer > int ) > ( int > int > $o ) > list_nat > code_integer > $o ).
thf(func_def_275,type,
bNF_vi5202502398764838569_nat_o: ( list_nat > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > list_nat > int > $o ).
thf(func_def_276,type,
bNF_vi5856767400800367702unit_o: ( nat > $o ) > ( $o > product_unit ) > ( $o > product_unit > $o ) > nat > $o > $o ).
thf(func_def_277,type,
bNF_vi3868162310295888627_rat_o: ( nat > $o ) > ( $o > rat ) > ( $o > rat > $o ) > nat > $o > $o ).
thf(func_def_278,type,
bNF_vi8816436626763797690char_o: ( nat > $o ) > ( $o > char ) > ( $o > char > $o ) > nat > $o > $o ).
thf(func_def_279,type,
bNF_vi7331807916455492308_int_o: ( nat > int ) > ( code_integer > int ) > ( int > int > $o ) > nat > code_integer > $o ).
thf(func_def_280,type,
bNF_vi8357618154448083105_int_o: ( nat > int ) > ( nat > int ) > ( int > int > $o ) > nat > nat > $o ).
thf(func_def_281,type,
bNF_vi1731478210338170163_nat_o: ( nat > int ) > ( num > nat ) > ( int > nat > $o ) > nat > num > $o ).
thf(func_def_282,type,
bNF_vi6818137723729380987_o_o_o: ( nat > nat ) > ( $o > $o ) > ( nat > $o > $o ) > nat > $o > $o ).
thf(func_def_283,type,
bNF_vi1443435967014148806unit_o: ( nat > nat ) > ( $o > product_unit ) > ( nat > product_unit > $o ) > nat > $o > $o ).
thf(func_def_284,type,
bNF_vi6667456707345531737_nat_o: ( nat > nat ) > ( nat > nat ) > ( nat > nat > $o ) > nat > nat > $o ).
thf(func_def_285,type,
bNF_vi2930123780028963665_rat_o: ( nat > nat ) > ( nat > rat ) > ( nat > rat > $o ) > nat > nat > $o ).
thf(func_def_286,type,
bNF_vi8943400373106913048char_o: ( nat > nat ) > ( nat > char ) > ( nat > char > $o ) > nat > nat > $o ).
thf(func_def_287,type,
bNF_vi190728152058600505_nat_o: ( nat > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > nat > int > $o ).
thf(func_def_288,type,
bNF_vi1633389952966819264_nat_o: ( product_prod_int_int > int ) > ( num > nat ) > ( int > nat > $o ) > product_prod_int_int > num > $o ).
thf(func_def_289,type,
bNF_vi5082502771524357669nt_o_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > int > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > product_prod_nat_nat > int > $o ).
thf(func_def_290,type,
bNF_vi8966365312794588230_int_o: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( int > int > int ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > product_prod_nat_nat > int > $o ).
thf(func_def_291,type,
bNF_vi33923956287962137eger_o: ( product_prod_nat_nat > int ) > ( int > code_integer ) > ( int > code_integer > $o ) > product_prod_nat_nat > int > $o ).
thf(func_def_292,type,
bNF_vi9094538908245281400_nat_o: ( product_prod_nat_nat > int ) > ( num > nat ) > ( int > nat > $o ) > product_prod_nat_nat > num > $o ).
thf(func_def_293,type,
bNF_vi2682369418337388893_int_o: ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > int ) > ( int > int > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_294,type,
bNF_vi9025507403824386624_o_o_o: ( product_prod_nat_nat > nat ) > ( $o > $o ) > ( nat > $o > $o ) > product_prod_nat_nat > $o > $o ).
thf(func_def_295,type,
bNF_vi5493721401438417730_nat_o: ( product_prod_nat_nat > nat ) > ( int > nat ) > ( nat > nat > $o ) > product_prod_nat_nat > int > $o ).
thf(func_def_296,type,
bNF_vi5426221348228882691_int_o: ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat > int > $o ).
thf(func_def_297,type,
bNF_vi763171854521451549_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 ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_298,type,
bNF_vi508398028314858188_int_o: ( rat > int ) > ( code_integer > int ) > ( int > int > $o ) > rat > code_integer > $o ).
thf(func_def_299,type,
bNF_vi2997284877290766385_nat_o: ( rat > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > rat > int > $o ).
thf(func_def_300,type,
bNF_vi7262943168399475603_int_o: ( char > int ) > ( code_integer > int ) > ( int > int > $o ) > char > code_integer > $o ).
thf(func_def_301,type,
bNF_vi728936465572800120_nat_o: ( char > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > char > int > $o ).
thf(func_def_302,type,
bNF_Gr2943678036615987864nt_int: set_o > ( $o > int ) > ( $o > int ) > set_Pr958786334691620121nt_int ).
thf(func_def_303,type,
bNF_Gr1946814795223983584at_nat: set_o > ( $o > nat ) > ( $o > nat ) > set_Pr1261947904930325089at_nat ).
thf(func_def_304,type,
bNF_Gr7727518618234538026at_num: set_o > ( $o > nat ) > ( $o > num ) > set_Pr6200539531224447659at_num ).
thf(func_def_305,type,
bNF_Gr8686673574714534880nt_int: set_int > ( int > int ) > ( int > int ) > set_Pr958786334691620121nt_int ).
thf(func_def_306,type,
bNF_Gr7689810333322530600at_nat: set_int > ( int > nat ) > ( int > nat ) > set_Pr1261947904930325089at_nat ).
thf(func_def_307,type,
bNF_Gr4247142119478309234at_num: set_int > ( int > nat ) > ( int > num ) > set_Pr6200539531224447659at_num ).
thf(func_def_308,type,
bNF_Gr8315020014477690244nt_int: set_nat > ( nat > int ) > ( nat > int ) > set_Pr958786334691620121nt_int ).
thf(func_def_309,type,
bNF_Gr7318156773085685964at_nat: set_nat > ( nat > nat ) > ( nat > nat ) > set_Pr1261947904930325089at_nat ).
thf(func_def_310,type,
bNF_Gr3875488559241464598at_num: set_nat > ( nat > nat ) > ( nat > num ) > set_Pr6200539531224447659at_num ).
thf(func_def_311,type,
bNF_Gr5511461681843259283at_num: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > num ) > set_Pr6200539531224447659at_num ).
thf(func_def_312,type,
bNF_Gr166583433173494904er_num: ( int > num ) > ( code_integer > num ) > ( int > code_integer > $o ) > num > num > $o ).
thf(func_def_313,type,
bNF_Gr7020624548710275655nt_num: ( int > num ) > ( int > num ) > ( int > int > $o ) > num > num > $o ).
thf(func_def_314,type,
bNF_Gr364077372107685167_int_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > int > $o ) > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ).
thf(func_def_315,type,
bNF_Gr1354378531936274772nt_int: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( int > int > int ) > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ).
thf(func_def_316,type,
bNF_Gr6955563364113978072nt_nat: ( product_prod_nat_nat > nat ) > ( int > nat ) > ( product_prod_nat_nat > int > $o ) > nat > nat > $o ).
thf(func_def_317,type,
bNF_We7690717809131995284nc_o_o: set_o > set_o > set_o_o ).
thf(func_def_318,type,
bNF_We6830391624356636116_o_nat: set_o > set_nat > set_o_nat ).
thf(func_def_319,type,
bNF_We8730861560085513481t_unit: set_o > set_Product_unit > set_o_Product_unit ).
thf(func_def_320,type,
bNF_We8537379975951060974nt_int: set_int > set_int > set_int_int ).
thf(func_def_321,type,
bNF_We8539870446460111250nt_nat: set_int > set_nat > set_int_nat ).
thf(func_def_322,type,
bNF_We7904740386373615514nt_rat: set_int > set_rat > set_int_rat ).
thf(func_def_323,type,
bNF_We7538026264050006418at_int: set_nat > set_int > set_nat_int ).
thf(func_def_324,type,
bNF_We7540516734559056694at_nat: set_nat > set_nat > set_nat_nat ).
thf(func_def_325,type,
bNF_We6195730058148253354_rat_o: set_rat > set_o > set_rat_o ).
thf(func_def_326,type,
bNF_We7223962090624190782at_nat: set_rat > set_nat > set_rat_nat ).
thf(func_def_327,type,
bNF_We8564238559827753503t_unit: set_rat > set_Product_unit > set_rat_Product_unit ).
thf(func_def_328,type,
bNF_We6174688282833725809char_o: set_char > set_o > set_char_o ).
thf(func_def_329,type,
bNF_We935846424581991991ar_nat: set_char > set_nat > set_char_nat ).
thf(func_def_330,type,
bNF_We7396736742984212070t_unit: set_char > set_Product_unit > set_ch7814610555394875923t_unit ).
thf(func_def_331,type,
bNF_We2264329196211740764nt_int: set_int > ( int > int ) > ( int > int ) > ( int > int ) > int > int ).
thf(func_def_332,type,
bNF_We2266819666720791040nt_nat: set_int > ( int > int ) > ( int > nat ) > ( nat > int ) > int > int ).
thf(func_def_333,type,
bNF_We1264975484310686208at_int: set_int > ( int > nat ) > ( int > int ) > ( int > int ) > int > nat ).
thf(func_def_334,type,
bNF_We1267465954819736484at_nat: set_int > ( int > nat ) > ( int > nat ) > ( nat > int ) > int > nat ).
thf(func_def_335,type,
bNF_We1892675635974896128nt_int: set_int > ( nat > int ) > ( int > int ) > ( int > nat ) > int > int ).
thf(func_def_336,type,
bNF_We1895166106483946404nt_nat: set_int > ( nat > int ) > ( int > nat ) > ( nat > nat ) > int > int ).
thf(func_def_337,type,
bNF_We893321924073841572at_int: set_int > ( nat > nat ) > ( int > int ) > ( int > nat ) > int > nat ).
thf(func_def_338,type,
bNF_We895812394582891848at_nat: set_int > ( nat > nat ) > ( int > nat ) > ( nat > nat ) > int > nat ).
thf(func_def_339,type,
bNF_We576767280138975660at_int: set_int > ( nat > rat ) > ( int > int ) > ( int > nat ) > int > rat ).
thf(func_def_340,type,
bNF_We579257750648025936at_nat: set_int > ( nat > rat ) > ( int > nat ) > ( nat > nat ) > int > rat ).
thf(func_def_341,type,
bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).
thf(func_def_342,type,
basic_1872990034501187214nt_int: ( int > nat ) > ( int > nat ) > product_prod_int_int > nat ).
thf(func_def_343,type,
basic_1875480505010237490nt_nat: ( int > nat ) > ( nat > nat ) > product_prod_int_nat > nat ).
thf(func_def_344,type,
basic_873636322600132658at_int: ( nat > nat ) > ( int > nat ) > product_prod_nat_int > nat ).
thf(func_def_345,type,
basic_876126793109182934at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_346,type,
basic_685971451221398055t_unit: produc7812382424243267045t_unit > set_ref_a ).
thf(func_def_347,type,
basic_fsts_int_int: product_prod_int_int > set_int ).
thf(func_def_348,type,
basic_fsts_nat_nat: product_prod_nat_nat > set_nat ).
thf(func_def_349,type,
basic_fsts_nat_num: product_prod_nat_num > set_nat ).
thf(func_def_350,type,
basic_3661821009137050567at_nat: produc3843707927480180839at_nat > set_se7855581050983116737at_nat ).
thf(func_def_351,type,
basic_1274512288150691911at_nat: produc1319942482725812455at_nat > set_se5479201105039950375at_nat ).
thf(func_def_352,type,
basic_5328504652464829177at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_353,type,
basic_1496934909540232809t_unit: produc7812382424243267045t_unit > set_he8644174446132254637t_unit ).
thf(func_def_354,type,
basic_snds_int_int: product_prod_int_int > set_int ).
thf(func_def_355,type,
basic_snds_nat_nat: product_prod_nat_nat > set_nat ).
thf(func_def_356,type,
basic_snds_nat_num: product_prod_nat_num > set_num ).
thf(func_def_357,type,
basic_484852565060450053at_nat: produc3843707927480180839at_nat > set_se7855581050983116737at_nat ).
thf(func_def_358,type,
basic_5713354656523905413at_nat: produc1319942482725812455at_nat > set_se5479201105039950375at_nat ).
thf(func_def_359,type,
bit_take_bit_num: nat > num > option_num ).
thf(func_def_360,type,
code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).
thf(func_def_361,type,
code_cr_integer: int > code_integer > $o ).
thf(func_def_362,type,
code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_363,type,
code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_364,type,
code_int_of_integer: code_integer > int ).
thf(func_def_365,type,
code_nat_of_integer: code_integer > nat ).
thf(func_def_366,type,
code_negative: num > code_integer ).
thf(func_def_367,type,
code_num_of_integer: code_integer > num ).
thf(func_def_368,type,
code_pcr_integer: int > code_integer > $o ).
thf(func_def_369,type,
complete_Inf_Inf_o_o: set_o_o > $o > $o ).
thf(func_def_370,type,
comple5770381748412298549_int_o: set_int_int_o > int > int > $o ).
thf(func_def_371,type,
comple4393433247856107946_int_o: set_int_o > int > $o ).
thf(func_def_372,type,
comple1675732732025788397_nat_o: set_nat_nat_o > nat > nat > $o ).
thf(func_def_373,type,
comple2433913294995299363_num_o: set_nat_num_o > nat > num > $o ).
thf(func_def_374,type,
comple6214475593288795910_nat_o: set_nat_o > nat > $o ).
thf(func_def_375,type,
comple4707286699709038525_int_o: set_Pr8049984349381595834_int_o > product_prod_int_int > $o ).
thf(func_def_376,type,
comple6265855634338933877_nat_o: set_Pr5582243495563764594_nat_o > product_prod_nat_nat > $o ).
thf(func_def_377,type,
comple8183010123678664591_nat_o: set_Pr7010166363911110284_nat_o > produc3843707927480180839at_nat > $o ).
thf(func_def_378,type,
comple8322679762649017525_nat_o: set_se9180647916752606350_nat_o > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_379,type,
comple5307621999477653941_nat_o: set_se7255092946006855566_nat_o > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_380,type,
complete_Inf_Inf_o: set_o > $o ).
thf(func_def_381,type,
complete_Inf_Inf_int: set_int > int ).
thf(func_def_382,type,
complete_Inf_Inf_nat: set_nat > nat ).
thf(func_def_383,type,
comple2584293577114468500t_unit: set_Product_unit > product_unit ).
thf(func_def_384,type,
comple3063163877087187839_set_o: set_set_o > set_o ).
thf(func_def_385,type,
comple3628384868704368283et_int: set_set_int > set_int ).
thf(func_def_386,type,
comple7806235888213564991et_nat: set_set_nat > set_nat ).
thf(func_def_387,type,
comple1626965760690514720nt_int: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).
thf(func_def_388,type,
comple1930127330929219688at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_389,type,
comple6868718957223342258at_num: set_se4826145725398303499at_num > set_Pr6200539531224447659at_num ).
thf(func_def_390,type,
comple6332534001959699150at_nat: set_se6425085446898223655at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_391,type,
comple6751905152567503566at_nat: set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_392,type,
comple4403251139954110286at_nat: set_se7592288975875140775at_nat > set_Pr7459493094073627847at_nat ).
thf(func_def_393,type,
comple7216939928495492468t_unit: set_set_Product_unit > set_Product_unit ).
thf(func_def_394,type,
comple4298007329820168263et_rat: set_set_rat > set_rat ).
thf(func_def_395,type,
comple7965528767983648192t_char: set_set_char > set_char ).
thf(func_def_396,type,
complete_Sup_Sup_o_o: set_o_o > $o > $o ).
thf(func_def_397,type,
comple7687260386943045147_int_o: set_int_int_o > int > int > $o ).
thf(func_def_398,type,
comple6496622788309502864_int_o: set_int_o > int > $o ).
thf(func_def_399,type,
comple3592611370556534995_nat_o: set_nat_nat_o > nat > nat > $o ).
thf(func_def_400,type,
comple4350791933526045961_num_o: set_nat_num_o > nat > num > $o ).
thf(func_def_401,type,
comple8317665133742190828_nat_o: set_nat_o > nat > $o ).
thf(func_def_402,type,
comple342879659800731223_int_o: set_Pr8049984349381595834_int_o > product_prod_int_int > $o ).
thf(func_def_403,type,
comple1901448594430626575_nat_o: set_Pr5582243495563764594_nat_o > product_prod_nat_nat > $o ).
thf(func_def_404,type,
comple1177764198577243945_nat_o: set_Pr7010166363911110284_nat_o > produc3843707927480180839at_nat > $o ).
thf(func_def_405,type,
comple493620192902636699_nat_o: set_se9180647916752606350_nat_o > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_406,type,
comple4502628867940267931_nat_o: set_se7255092946006855566_nat_o > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_407,type,
complete_Sup_Sup_o: set_o > $o ).
thf(func_def_408,type,
complete_Sup_Sup_int: set_int > int ).
thf(func_def_409,type,
complete_Sup_Sup_nat: set_nat > nat ).
thf(func_def_410,type,
comple4687483117567863418t_unit: set_Product_unit > product_unit ).
thf(func_def_411,type,
comple90263536869209701_set_o: set_set_o > set_o ).
thf(func_def_412,type,
comple6989579708249578522t_unit: set_se4612898379794543757t_unit > set_he8644174446132254637t_unit ).
thf(func_def_413,type,
comple3221217463730067765et_int: set_set_int > set_int ).
thf(func_def_414,type,
comple7399068483239264473et_nat: set_set_nat > set_nat ).
thf(func_def_415,type,
comple5382143125604098054nt_int: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).
thf(func_def_416,type,
comple5685304695842803022at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_417,type,
comple1400524285282149784at_num: set_se4826145725398303499at_num > set_Pr6200539531224447659at_num ).
thf(func_def_418,type,
comple2748534634209756852at_nat: set_se6425085446898223655at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_419,type,
comple4364388969068068532at_nat: set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_420,type,
comple7342073961973170484at_nat: set_se7592288975875140775at_nat > set_Pr7459493094073627847at_nat ).
thf(func_def_421,type,
comple3349607820504768346t_unit: set_set_Product_unit > set_Product_unit ).
thf(func_def_422,type,
comple3890839924845867745et_rat: set_set_rat > set_rat ).
thf(func_def_423,type,
comple4338141846124676698t_char: set_set_char > set_char ).
thf(func_def_424,type,
condit5488710616941104124bove_o: set_o > $o ).
thf(func_def_425,type,
condit1118808407379112185nteger: set_Code_integer > $o ).
thf(func_def_426,type,
condit2212336002400062152ve_int: set_int > $o ).
thf(func_def_427,type,
condit2214826472909112428ve_nat: set_nat > $o ).
thf(func_def_428,type,
condit2080475194861589617t_unit: set_Product_unit > $o ).
thf(func_def_429,type,
condit1579696412822616692ve_rat: set_rat > $o ).
thf(func_def_430,type,
condit5477540289124974626et_nat: set_set_nat > $o ).
thf(func_def_431,type,
condit5413489452508810728elow_o: set_o > $o ).
thf(func_def_432,type,
condit4933233095834890765nteger: set_Code_integer > $o ).
thf(func_def_433,type,
condit1735850657277959132ow_int: set_int > $o ).
thf(func_def_434,type,
condit1738341127787009408ow_nat: set_nat > $o ).
thf(func_def_435,type,
condit9161856309968323677t_unit: set_Product_unit > $o ).
thf(func_def_436,type,
condit1103211067700513672ow_rat: set_rat > $o ).
thf(func_def_437,type,
condit68592940725977398et_nat: set_set_nat > $o ).
thf(func_def_438,type,
nat_to_rat_surj: nat > rat ).
thf(func_def_439,type,
adjust_div: product_prod_int_int > int ).
thf(func_def_440,type,
divmod_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_441,type,
unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_442,type,
unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).
thf(func_def_443,type,
unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_444,type,
euclid4774559944035922753ze_int: int > nat ).
thf(func_def_445,type,
inverse_inverse_rat: rat > rat ).
thf(func_def_446,type,
finite_Fpow_int: set_int > set_set_int ).
thf(func_def_447,type,
finite_Fpow_nat: set_nat > set_set_nat ).
thf(func_def_448,type,
finite_Fpow_rat: set_rat > set_set_rat ).
thf(func_def_449,type,
finite_card_int: set_int > nat ).
thf(func_def_450,type,
finite_card_nat: set_nat > nat ).
thf(func_def_451,type,
finite711546835091564841at_nat: set_Pr1261947904930325089at_nat > nat ).
thf(func_def_452,type,
finite_card_rat: set_rat > nat ).
thf(func_def_453,type,
finite6756937295472016048nteger: set_Co726186806682698383nteger > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
thf(func_def_454,type,
finite7905178416053733328on_o_o: set_o > ( $o > $o > $o ) > $o ).
thf(func_def_455,type,
finite4703585013658510744_o_nat: set_o > ( $o > nat > nat ) > $o ).
thf(func_def_456,type,
finite366418920864469932nteger: set_Code_integer > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
thf(func_def_457,type,
finite5985214029334008090_int_o: set_int > ( int > $o > $o ) > $o ).
thf(func_def_458,type,
finite4582259249640653518nt_nat: set_int > ( int > nat > nat ) > $o ).
thf(func_def_459,type,
finite7806256374766696054_nat_o: set_nat > ( nat > $o > $o ) > $o ).
thf(func_def_460,type,
finite3582905537739598962at_nat: set_nat > ( nat > nat > nat ) > $o ).
thf(func_def_461,type,
finite1496024664758132007_nat_o: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > $o > $o ) > $o ).
thf(func_def_462,type,
finite2110315540964234241at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat > nat ) > $o ).
thf(func_def_463,type,
finite2818816984019561153_nat_o: set_Pr4329608150637261639at_nat > ( produc3843707927480180839at_nat > $o > $o ) > $o ).
thf(func_def_464,type,
finite8619596206551965927at_nat: set_Pr4329608150637261639at_nat > ( produc3843707927480180839at_nat > nat > nat ) > $o ).
thf(func_def_465,type,
finite954763878425697269nteger: set_Co726186806682698383nteger > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
thf(func_def_466,type,
finite2426395113773319005_o_nat: set_o > ( $o > nat > nat ) > $o ).
thf(func_def_467,type,
finite917065715488314481nteger: set_Code_integer > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
thf(func_def_468,type,
finite8981753823465611337nt_nat: set_int > ( int > nat > nat ) > $o ).
thf(func_def_469,type,
finite7982400111564556781at_nat: set_nat > ( nat > nat > nat ) > $o ).
thf(func_def_470,type,
finite5150387867909132486at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat > nat ) > $o ).
thf(func_def_471,type,
finite352855791390415404at_nat: set_Pr4329608150637261639at_nat > ( produc3843707927480180839at_nat > nat > nat ) > $o ).
thf(func_def_472,type,
finite_finite_o: set_o > $o ).
thf(func_def_473,type,
finite_finite_int: set_int > $o ).
thf(func_def_474,type,
finite8100373058378681591st_nat: set_list_nat > $o ).
thf(func_def_475,type,
finite_finite_nat: set_nat > $o ).
thf(func_def_476,type,
finite2998713641127702882nt_int: set_Pr958786334691620121nt_int > $o ).
thf(func_def_477,type,
finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).
thf(func_def_478,type,
finite4343798906461161616at_nat: set_Pr4329608150637261639at_nat > $o ).
thf(func_def_479,type,
finite4290736615968046902t_unit: set_Product_unit > $o ).
thf(func_def_480,type,
finite_finite_rat: set_rat > $o ).
thf(func_def_481,type,
finite_finite_char: set_char > $o ).
thf(func_def_482,type,
bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).
thf(func_def_483,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_484,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_485,type,
comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_486,type,
comp_C7826480081638475456nteger: ( ( code_integer > code_integer ) > code_integer ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer ).
thf(func_def_487,type,
comp_C6484513282182537548nteger: ( ( code_integer > code_integer ) > produc101387210554329899nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc101387210554329899nteger ).
thf(func_def_488,type,
comp_P3928908779438215820nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_489,type,
comp_o_o_o: ( $o > $o ) > ( $o > $o ) > $o > $o ).
thf(func_def_490,type,
comp_o_o_int: ( $o > $o ) > ( int > $o ) > int > $o ).
thf(func_def_491,type,
comp_o_o_nat: ( $o > $o ) > ( nat > $o ) > nat > $o ).
thf(func_def_492,type,
comp_o_o_num: ( $o > $o ) > ( num > $o ) > num > $o ).
thf(func_def_493,type,
comp_o_int_nat: ( $o > int ) > ( nat > $o ) > nat > int ).
thf(func_def_494,type,
comp_o_nat_o: ( $o > nat ) > ( $o > $o ) > $o > nat ).
thf(func_def_495,type,
comp_o_nat_int: ( $o > nat ) > ( int > $o ) > int > nat ).
thf(func_def_496,type,
comp_o_nat_nat: ( $o > nat ) > ( nat > $o ) > nat > nat ).
thf(func_def_497,type,
comp_o_num_o: ( $o > num ) > ( $o > $o ) > $o > num ).
thf(func_def_498,type,
comp_o_num_int: ( $o > num ) > ( int > $o ) > int > num ).
thf(func_def_499,type,
comp_o_num_nat: ( $o > num ) > ( nat > $o ) > nat > num ).
thf(func_def_500,type,
comp_o_num_num: ( $o > num ) > ( num > $o ) > num > num ).
thf(func_def_501,type,
comp_o7658611401268416066_o_nat: ( $o > product_prod_o_o ) > ( nat > $o ) > nat > product_prod_o_o ).
thf(func_def_502,type,
comp_o6895741221744486154t_unit: ( $o > set_o ) > ( product_unit > $o ) > product_unit > set_o ).
thf(func_def_503,type,
comp_o_set_int_nat: ( $o > set_int ) > ( nat > $o ) > nat > set_int ).
thf(func_def_504,type,
comp_o1521574261646630388t_unit: ( $o > set_int ) > ( product_unit > $o ) > product_unit > set_int ).
thf(func_def_505,type,
comp_o_set_nat_nat: ( $o > set_nat ) > ( nat > $o ) > nat > set_nat ).
thf(func_def_506,type,
comp_o9190160103024335696t_unit: ( $o > set_nat ) > ( product_unit > $o ) > product_unit > set_nat ).
thf(func_def_507,type,
comp_o2254869825208929t_unit: ( $o > set_Pr1261947904930325089at_nat ) > ( product_unit > $o ) > product_unit > set_Pr1261947904930325089at_nat ).
thf(func_def_508,type,
comp_o4913564575355137019t_unit: ( $o > set_Pr4329608150637261639at_nat ) > ( product_unit > $o ) > product_unit > set_Pr4329608150637261639at_nat ).
thf(func_def_509,type,
comp_o_set_rat_nat: ( $o > set_rat ) > ( nat > $o ) > nat > set_rat ).
thf(func_def_510,type,
comp_o_char_o: ( $o > char ) > ( $o > $o ) > $o > char ).
thf(func_def_511,type,
comp_C2931745410781319416nteger: ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer ) > code_integer > code_integer > code_integer ).
thf(func_def_512,type,
comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_513,type,
comp_C7449957260575251196nteger: ( code_integer > code_integer ) > ( code_integer > code_integer ) > code_integer > code_integer ).
thf(func_def_514,type,
comp_C3531382070062128313er_num: ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ).
thf(func_def_515,type,
comp_C1043215000170864188nteger: ( code_integer > code_integer ) > ( produc8923325533196201883nteger > code_integer ) > produc8923325533196201883nteger > code_integer ).
thf(func_def_516,type,
comp_C2177396528461469320um_int: ( code_integer > num ) > ( int > code_integer ) > int > num ).
thf(func_def_517,type,
comp_C8580465762518603278nteger: ( code_integer > num ) > ( produc2963269191615333738nteger > code_integer ) > produc2963269191615333738nteger > num ).
thf(func_def_518,type,
comp_h4837689053573563144t_unit: ( heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ) > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_519,type,
comp_h7449592329096033597t_unit: ( heap_e7401611519738050253t_unit > int ) > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > int ).
thf(func_def_520,type,
comp_h8354993580257045729t_unit: ( heap_e7401611519738050253t_unit > nat ) > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > nat ).
thf(func_def_521,type,
comp_h5940001671827863714t_unit: ( heap_e7401611519738050253t_unit > produc8126358835630522215t_unit ) > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > produc8126358835630522215t_unit ).
thf(func_def_522,type,
comp_r3604920825623061426t_unit: ( ref_a > heap_e7401611519738050253t_unit ) > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_523,type,
comp_r2143332150499412868t_unit: ( ref_a > ref_a ) > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > ref_a ).
thf(func_def_524,type,
comp_r7249815618783853587t_unit: ( ref_a > int ) > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > int ).
thf(func_def_525,type,
comp_r8155216869944865719t_unit: ( ref_a > nat ) > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > nat ).
thf(func_def_526,type,
comp_r6154141770783548544t_unit: ( ref_a > produc5288414631154139675_ref_a ) > ( produc7812382424243267045t_unit > ref_a ) > produc7812382424243267045t_unit > produc5288414631154139675_ref_a ).
thf(func_def_527,type,
comp_i653165354545908656at_int: ( int > int > $o ) > ( produc4196048018000912732at_int > int ) > produc4196048018000912732at_int > int > $o ).
thf(func_def_528,type,
comp_i4519014998770822500at_int: ( int > int > int ) > ( produc4196048018000912732at_int > int ) > produc4196048018000912732at_int > int > int ).
thf(func_def_529,type,
comp_int_o_o: ( int > $o ) > ( $o > int ) > $o > $o ).
thf(func_def_530,type,
comp_int_o_int: ( int > $o ) > ( int > int ) > int > $o ).
thf(func_def_531,type,
comp_int_o_nat: ( int > $o ) > ( nat > int ) > nat > $o ).
thf(func_def_532,type,
comp_i1585864551200866970er_int: ( int > code_integer ) > ( int > int ) > int > code_integer ).
thf(func_def_533,type,
comp_int_int_o: ( int > int ) > ( $o > int ) > $o > int ).
thf(func_def_534,type,
comp_i2224564030725804698nteger: ( int > int ) > ( code_integer > int ) > code_integer > int ).
thf(func_def_535,type,
comp_int_int_int: ( int > int ) > ( int > int ) > int > int ).
thf(func_def_536,type,
comp_int_int_nat: ( int > int ) > ( nat > int ) > nat > int ).
thf(func_def_537,type,
comp_i4330622015127193916nt_int: ( int > int ) > ( product_prod_int_int > int ) > product_prod_int_int > int ).
thf(func_def_538,type,
comp_int_int_rat: ( int > int ) > ( rat > int ) > rat > int ).
thf(func_def_539,type,
comp_int_int_char: ( int > int ) > ( char > int ) > char > int ).
thf(func_def_540,type,
comp_int_nat_o: ( int > nat ) > ( $o > int ) > $o > nat ).
thf(func_def_541,type,
comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).
thf(func_def_542,type,
comp_int_nat_nat: ( int > nat ) > ( nat > int ) > nat > nat ).
thf(func_def_543,type,
comp_i1292779930663060120nt_int: ( int > nat ) > ( product_prod_int_int > int ) > product_prod_int_int > nat ).
thf(func_def_544,type,
comp_i4471277238271202272at_nat: ( int > nat ) > ( product_prod_nat_nat > int ) > product_prod_nat_nat > nat ).
thf(func_def_545,type,
comp_i5627883460353289149at_int: ( int > nat ) > ( produc4196048018000912732at_int > int ) > produc4196048018000912732at_int > nat ).
thf(func_def_546,type,
comp_int_nat_rat: ( int > nat ) > ( rat > int ) > rat > nat ).
thf(func_def_547,type,
comp_int_nat_char: ( int > nat ) > ( char > int ) > char > nat ).
thf(func_def_548,type,
comp_int_num_int: ( int > num ) > ( int > int ) > int > num ).
thf(func_def_549,type,
comp_int_num_nat: ( int > num ) > ( nat > int ) > nat > num ).
thf(func_def_550,type,
comp_int_num_num: ( int > num ) > ( num > int ) > num > num ).
thf(func_def_551,type,
comp_i3846818780818535807nteger: ( int > num ) > ( produc2963269191615333738nteger > int ) > produc2963269191615333738nteger > num ).
thf(func_def_552,type,
comp_i7231038107349025742nt_int: ( int > num ) > ( product_prod_int_int > int ) > product_prod_int_int > num ).
thf(func_def_553,type,
comp_i1186163378102392086at_nat: ( int > num ) > ( product_prod_nat_nat > int ) > product_prod_nat_nat > num ).
thf(func_def_554,type,
comp_i1108739374719436894at_int: ( int > product_prod_nat_nat ) > ( int > int ) > int > product_prod_nat_nat ).
thf(func_def_555,type,
comp_int_rat_nat: ( int > rat ) > ( nat > int ) > nat > rat ).
thf(func_def_556,type,
comp_int_set_nat_int: ( int > set_nat ) > ( int > int ) > int > set_nat ).
thf(func_def_557,type,
comp_nat_o_o: ( nat > $o ) > ( $o > nat ) > $o > $o ).
thf(func_def_558,type,
comp_nat_o_int: ( nat > $o ) > ( int > nat ) > int > $o ).
thf(func_def_559,type,
comp_nat_o_nat: ( nat > $o ) > ( nat > nat ) > nat > $o ).
thf(func_def_560,type,
comp_n1662990198670838940at_nat: ( nat > $o ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > $o ).
thf(func_def_561,type,
comp_nat_int_o: ( nat > int ) > ( $o > nat ) > $o > int ).
thf(func_def_562,type,
comp_nat_int_int: ( nat > int ) > ( int > nat ) > int > int ).
thf(func_def_563,type,
comp_nat_int_nat: ( nat > int ) > ( nat > nat ) > nat > int ).
thf(func_def_564,type,
comp_nat_int_num: ( nat > int ) > ( num > nat ) > num > int ).
thf(func_def_565,type,
comp_n5749082658982224864at_nat: ( nat > int ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > int ).
thf(func_def_566,type,
comp_nat_int_rat: ( nat > int ) > ( rat > nat ) > rat > int ).
thf(func_def_567,type,
comp_nat_int_char: ( nat > int ) > ( char > nat ) > char > int ).
thf(func_def_568,type,
comp_nat_nat_o: ( nat > nat ) > ( $o > nat ) > $o > nat ).
thf(func_def_569,type,
comp_nat_nat_int: ( nat > nat ) > ( int > nat ) > int > nat ).
thf(func_def_570,type,
comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).
thf(func_def_571,type,
comp_nat_nat_num: ( nat > nat ) > ( num > nat ) > num > nat ).
thf(func_def_572,type,
comp_n2711240574518091068at_nat: ( nat > nat ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_573,type,
comp_nat_nat_rat: ( nat > nat ) > ( rat > nat ) > rat > nat ).
thf(func_def_574,type,
comp_nat_nat_char: ( nat > nat ) > ( char > nat ) > char > nat ).
thf(func_def_575,type,
comp_n2103536230552569900nteger: ( nat > num ) > ( code_integer > nat ) > code_integer > num ).
thf(func_def_576,type,
comp_nat_num_int: ( nat > num ) > ( int > nat ) > int > num ).
thf(func_def_577,type,
comp_nat_num_nat: ( nat > num ) > ( nat > nat ) > nat > num ).
thf(func_def_578,type,
comp_nat_num_num: ( nat > num ) > ( num > nat ) > num > num ).
thf(func_def_579,type,
comp_n8649498751204056690at_nat: ( nat > num ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > num ).
thf(func_def_580,type,
comp_n8574565218330151774at_nat: ( nat > product_prod_nat_nat ) > ( nat > nat ) > nat > product_prod_nat_nat ).
thf(func_def_581,type,
comp_n8531277669757933902um_int: ( nat > product_prod_num_num ) > ( int > nat ) > int > product_prod_num_num ).
thf(func_def_582,type,
comp_nat_rat_int: ( nat > rat ) > ( int > nat ) > int > rat ).
thf(func_def_583,type,
comp_nat_rat_nat: ( nat > rat ) > ( nat > nat ) > nat > rat ).
thf(func_def_584,type,
comp_nat_rat_rat: ( nat > rat ) > ( rat > nat ) > rat > rat ).
thf(func_def_585,type,
comp_nat_rat_char: ( nat > rat ) > ( char > nat ) > char > rat ).
thf(func_def_586,type,
comp_nat_set_nat_int: ( nat > set_nat ) > ( int > nat ) > int > set_nat ).
thf(func_def_587,type,
comp_nat_set_nat_nat: ( nat > set_nat ) > ( nat > nat ) > nat > set_nat ).
thf(func_def_588,type,
comp_nat_set_rat_int: ( nat > set_rat ) > ( int > nat ) > int > set_rat ).
thf(func_def_589,type,
comp_nat_set_rat_nat: ( nat > set_rat ) > ( nat > nat ) > nat > set_rat ).
thf(func_def_590,type,
comp_nat_char_char: ( nat > char ) > ( char > nat ) > char > char ).
thf(func_def_591,type,
comp_num_o_o: ( num > $o ) > ( $o > num ) > $o > $o ).
thf(func_def_592,type,
comp_num_o_int: ( num > $o ) > ( int > num ) > int > $o ).
thf(func_def_593,type,
comp_num_o_nat: ( num > $o ) > ( nat > num ) > nat > $o ).
thf(func_def_594,type,
comp_num_o_num: ( num > $o ) > ( num > num ) > num > $o ).
thf(func_def_595,type,
comp_num_nat_int: ( num > nat ) > ( int > num ) > int > nat ).
thf(func_def_596,type,
comp_num_nat_nat: ( num > nat ) > ( nat > num ) > nat > nat ).
thf(func_def_597,type,
comp_num_nat_num: ( num > nat ) > ( num > num ) > num > nat ).
thf(func_def_598,type,
comp_num_num_o: ( num > num ) > ( $o > num ) > $o > num ).
thf(func_def_599,type,
comp_n8557746072492896886nteger: ( num > num ) > ( code_integer > num ) > code_integer > num ).
thf(func_def_600,type,
comp_num_num_int: ( num > num ) > ( int > num ) > int > num ).
thf(func_def_601,type,
comp_num_num_nat: ( num > num ) > ( nat > num ) > nat > num ).
thf(func_def_602,type,
comp_num_num_num: ( num > num ) > ( num > num ) > num > num ).
thf(func_def_603,type,
comp_num_set_int_int: ( num > set_int ) > ( int > num ) > int > set_int ).
thf(func_def_604,type,
comp_num_set_nat_int: ( num > set_nat ) > ( int > num ) > int > set_nat ).
thf(func_def_605,type,
comp_num_set_rat_int: ( num > set_rat ) > ( int > num ) > int > set_rat ).
thf(func_def_606,type,
comp_P8564252314792299288nteger: ( produc723880050079548563nteger > produc101387210554329899nteger ) > ( code_integer > produc723880050079548563nteger ) > code_integer > produc101387210554329899nteger ).
thf(func_def_607,type,
comp_P2137996956111167876_o_o_o: ( product_prod_o_o > $o ) > ( $o > product_prod_o_o ) > $o > $o ).
thf(func_def_608,type,
comp_P551574746845053877_o_o_o: ( product_prod_o_o > product_prod_o_o ) > ( $o > product_prod_o_o ) > $o > product_prod_o_o ).
thf(func_def_609,type,
comp_P7034811116587396339_o_nat: ( product_prod_o_o > product_prod_o_o ) > ( nat > product_prod_o_o ) > nat > product_prod_o_o ).
thf(func_def_610,type,
comp_P4785046977597218846at_nat: ( product_prod_o_o > product_prod_o_o ) > ( product_prod_nat_nat > product_prod_o_o ) > product_prod_nat_nat > product_prod_o_o ).
thf(func_def_611,type,
comp_P1471321874221585045at_o_o: ( product_prod_o_o > product_prod_nat_o ) > ( $o > product_prod_o_o ) > $o > product_prod_nat_o ).
thf(func_def_612,type,
comp_P465755969289462830at_int: ( product_prod_o_int > product_prod_o_nat ) > ( product_prod_nat_int > product_prod_o_int ) > product_prod_nat_int > product_prod_o_nat ).
thf(func_def_613,type,
comp_P1422407636550552773_nat_o: ( product_prod_o_nat > product_prod_o_nat ) > ( $o > product_prod_o_nat ) > $o > product_prod_o_nat ).
thf(func_def_614,type,
comp_P1391661485614827491at_nat: ( product_prod_o_nat > product_prod_o_nat ) > ( nat > product_prod_o_nat ) > nat > product_prod_o_nat ).
thf(func_def_615,type,
comp_P4962864564169660718at_nat: ( product_prod_o_nat > product_prod_o_nat ) > ( product_prod_nat_nat > product_prod_o_nat ) > product_prod_nat_nat > product_prod_o_nat ).
thf(func_def_616,type,
comp_P9057111047297513408at_int: ( product_prod_o_nat > product_prod_o_num ) > ( product_prod_nat_int > product_prod_o_nat ) > product_prod_nat_int > product_prod_o_num ).
thf(func_def_617,type,
comp_P196761593691424337_nat_o: ( product_prod_o_nat > product_prod_nat_nat ) > ( $o > product_prod_o_nat ) > $o > product_prod_nat_nat ).
thf(func_def_618,type,
comp_P972951341003599239_nat_o: ( product_prod_o_nat > product_prod_num_nat ) > ( $o > product_prod_o_nat ) > $o > product_prod_num_nat ).
thf(func_def_619,type,
comp_P3428181540658402820nteger: ( produc8923325533196201883nteger > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8923325533196201883nteger > code_integer ).
thf(func_def_620,type,
comp_P8237986404257982958t_unit: ( produc8126358835630522215t_unit > heap_e7401611519738050253t_unit ) > ( produc7812382424243267045t_unit > produc8126358835630522215t_unit ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_621,type,
comp_P3239167524078694454t_unit: ( produc1799199577659733785_ref_a > heap_e7401611519738050253t_unit ) > ( produc7812382424243267045t_unit > produc1799199577659733785_ref_a ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_622,type,
comp_P1287623958910499840t_unit: ( produc1799199577659733785_ref_a > ref_a ) > ( produc7812382424243267045t_unit > produc1799199577659733785_ref_a ) > produc7812382424243267045t_unit > ref_a ).
thf(func_def_623,type,
comp_P2006160480335490974_ref_a: ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > ( produc1799199577659733785_ref_a > produc7812382424243267045t_unit ) > produc1799199577659733785_ref_a > heap_e7401611519738050253t_unit ).
thf(func_def_624,type,
comp_P8019343326919024234t_unit: ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > ( produc7812382424243267045t_unit > produc7812382424243267045t_unit ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_625,type,
comp_P6390991081591698364at_nat: ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > ( product_prod_nat_nat > produc7812382424243267045t_unit ) > product_prod_nat_nat > heap_e7401611519738050253t_unit ).
thf(func_def_626,type,
comp_P7254561687666694144_ref_a: ( produc7812382424243267045t_unit > ref_a ) > ( produc1799199577659733785_ref_a > produc7812382424243267045t_unit ) > produc1799199577659733785_ref_a > ref_a ).
thf(func_def_627,type,
comp_P4044372497395451596t_unit: ( produc7812382424243267045t_unit > ref_a ) > ( produc7812382424243267045t_unit > produc7812382424243267045t_unit ) > produc7812382424243267045t_unit > ref_a ).
thf(func_def_628,type,
comp_P7986581389989349338at_nat: ( produc7812382424243267045t_unit > ref_a ) > ( product_prod_nat_nat > produc7812382424243267045t_unit ) > product_prod_nat_nat > ref_a ).
thf(func_def_629,type,
comp_P9134237804721252988t_unit: ( produc5288414631154139675_ref_a > ref_a ) > ( produc7812382424243267045t_unit > produc5288414631154139675_ref_a ) > produc7812382424243267045t_unit > ref_a ).
thf(func_def_630,type,
comp_P9034173210191959223nt_int: ( product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int ) > product_prod_int_int > $o ).
thf(func_def_631,type,
comp_P6651465171681656048nt_int: ( product_prod_int_int > int ) > ( int > product_prod_int_int ) > int > int ).
thf(func_def_632,type,
comp_P6653955642190706324nt_nat: ( product_prod_int_int > int ) > ( nat > product_prod_int_int ) > nat > int ).
thf(func_def_633,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_634,type,
comp_P6018825582104210588nt_rat: ( product_prod_int_int > int ) > ( rat > product_prod_int_int ) > rat > int ).
thf(func_def_635,type,
comp_P4161745170962941589t_char: ( product_prod_int_int > int ) > ( char > product_prod_int_int ) > char > int ).
thf(func_def_636,type,
comp_P2318390481314533713nt_int: ( product_prod_int_int > nat ) > ( product_prod_int_int > product_prod_int_int ) > product_prod_int_int > nat ).
thf(func_def_637,type,
comp_P2788356708182965334nt_int: ( product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_638,type,
comp_P2134349925370910487at_int: ( product_prod_int_int > product_prod_nat_nat ) > ( int > product_prod_int_int ) > int > product_prod_nat_nat ).
thf(func_def_639,type,
comp_P3488689526429045841nt_nat: ( product_prod_int_nat > nat ) > ( product_prod_int_nat > product_prod_int_nat ) > product_prod_int_nat > nat ).
thf(func_def_640,type,
comp_P1145193044942399421um_int: ( product_prod_int_nat > product_prod_nat_num ) > ( int > product_prod_int_nat ) > int > product_prod_nat_num ).
thf(func_def_641,type,
comp_P5799945282029801519_o_nat: ( product_prod_nat_o > product_prod_nat_o ) > ( nat > product_prod_nat_o ) > nat > product_prod_nat_o ).
thf(func_def_642,type,
comp_P8901546994122883554at_nat: ( product_prod_nat_o > product_prod_nat_o ) > ( product_prod_nat_nat > product_prod_nat_o ) > product_prod_nat_nat > product_prod_nat_o ).
thf(func_def_643,type,
comp_P6576135029341976421_o_nat: ( product_prod_nat_o > product_prod_num_o ) > ( nat > product_prod_nat_o ) > nat > product_prod_num_o ).
thf(func_def_644,type,
comp_P5807473265676440968nt_nat: ( product_prod_nat_o > product_prod_num_o ) > ( product_prod_int_nat > product_prod_nat_o ) > product_prod_int_nat > product_prod_num_o ).
thf(func_def_645,type,
comp_P397146161216181329at_int: ( product_prod_nat_int > nat ) > ( product_prod_nat_int > product_prod_nat_int ) > product_prod_nat_int > nat ).
thf(func_def_646,type,
comp_P8376639181999047357at_int: ( product_prod_nat_int > product_prod_num_nat ) > ( int > product_prod_nat_int ) > int > product_prod_num_nat ).
thf(func_def_647,type,
comp_P3772045228931366376nt_int: ( product_prod_nat_int > product_prod_num_nat ) > ( product_prod_int_int > product_prod_nat_int ) > product_prod_int_int > product_prod_num_nat ).
thf(func_def_648,type,
comp_P2002127591014248037at_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 ).
thf(func_def_649,type,
comp_P7900071416159368952at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( produc4196048018000912732at_int > product_prod_nat_nat ) > produc4196048018000912732at_int > product_prod_nat_nat > $o ).
thf(func_def_650,type,
comp_P3913276677246710332at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_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_651,type,
comp_P4524073163769703009at_int: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( produc4196048018000912732at_int > product_prod_nat_nat ) > produc4196048018000912732at_int > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_652,type,
comp_P4605287290794827253at_nat: ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > int ).
thf(func_def_653,type,
comp_P1953119740877977564at_int: ( product_prod_nat_nat > nat ) > ( int > product_prod_nat_nat ) > int > nat ).
thf(func_def_654,type,
comp_P5292260908303971472st_nat: ( product_prod_nat_nat > nat ) > ( list_nat > product_prod_nat_nat ) > list_nat > nat ).
thf(func_def_655,type,
comp_P1955610211387027840at_nat: ( product_prod_nat_nat > nat ) > ( nat > product_prod_nat_nat ) > nat > nat ).
thf(func_def_656,type,
comp_P1567445206330693457at_nat: ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > nat ).
thf(func_def_657,type,
comp_P8635049891247748876at_int: ( product_prod_nat_nat > nat ) > ( produc4196048018000912732at_int > product_prod_nat_nat ) > produc4196048018000912732at_int > nat ).
thf(func_def_658,type,
comp_P1320480151300532104at_rat: ( product_prod_nat_nat > nat ) > ( rat > product_prod_nat_nat ) > rat > nat ).
thf(func_def_659,type,
comp_P1491501995297412481t_char: ( product_prod_nat_nat > nat ) > ( char > product_prod_nat_nat ) > char > nat ).
thf(func_def_660,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_661,type,
comp_P7430769850142754163at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > ( nat > product_prod_nat_nat ) > nat > product_prod_nat_nat ).
thf(func_def_662,type,
comp_P6334688330072917552at_int: ( product_prod_nat_nat > product_prod_nat_num ) > ( product_prod_nat_int > product_prod_nat_nat ) > product_prod_nat_int > product_prod_nat_num ).
thf(func_def_663,type,
comp_P5371577678113413053at_nat: ( product_prod_nat_nat > product_prod_num_nat ) > ( nat > product_prod_nat_nat ) > nat > product_prod_num_nat ).
thf(func_def_664,type,
comp_P5124699952429557552nt_nat: ( product_prod_nat_nat > product_prod_num_nat ) > ( product_prod_int_nat > product_prod_nat_nat ) > product_prod_int_nat > product_prod_num_nat ).
thf(func_def_665,type,
comp_P7387482301570536291um_int: ( product_prod_nat_nat > product_prod_num_num ) > ( int > product_prod_nat_nat ) > int > product_prod_num_num ).
thf(func_def_666,type,
comp_P9218946435557410242nt_int: ( product_prod_nat_nat > product_prod_num_num ) > ( product_prod_int_int > product_prod_nat_nat ) > product_prod_int_int > product_prod_num_num ).
thf(func_def_667,type,
comp_P8336958949797789649um_nat: ( product_prod_nat_num > nat ) > ( product_prod_num_nat > product_prod_nat_num ) > product_prod_num_nat > nat ).
thf(func_def_668,type,
comp_P5051845089628979463um_nat: ( product_prod_nat_num > num ) > ( product_prod_num_nat > product_prod_nat_num ) > product_prod_num_nat > num ).
thf(func_def_669,type,
comp_P3192427084145116251at_num: ( product_prod_num_nat > product_prod_o_nat ) > ( num > product_prod_num_nat ) > num > product_prod_o_nat ).
thf(func_def_670,type,
comp_P2539519431309506803at_num: ( product_prod_num_nat > product_prod_nat_nat ) > ( num > product_prod_num_nat ) > num > product_prod_nat_nat ).
thf(func_def_671,type,
comp_P480327259280165693at_num: ( product_prod_num_nat > product_prod_num_nat ) > ( num > product_prod_num_nat ) > num > product_prod_num_nat ).
thf(func_def_672,type,
comp_P4305060815297604026um_int: ( product_prod_num_num > num ) > ( int > product_prod_num_num ) > int > num ).
thf(func_def_673,type,
comp_P864883071962432936um_num: ( product_prod_num_num > num ) > ( num > product_prod_num_num ) > num > num ).
thf(func_def_674,type,
comp_P4974406650942564362at_nat: ( produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ) > ( produc3843707927480180839at_nat > produc3843707927480180839at_nat ) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_675,type,
comp_P4528037747288561284at_nat: ( produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_676,type,
comp_P3728553842126764068at_nat: ( produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ) > ( produc1319942482725812455at_nat > produc1319942482725812455at_nat ) > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_677,type,
comp_P8235817900121468292at_nat: ( produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ) > ( set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_678,type,
comp_P5156358013004227690it_o_o: ( product_unit > $o ) > ( $o > product_unit ) > $o > $o ).
thf(func_def_679,type,
comp_P4985893458130756478_o_nat: ( product_unit > $o ) > ( nat > product_unit ) > nat > $o ).
thf(func_def_680,type,
comp_rat_o_o: ( rat > $o ) > ( $o > rat ) > $o > $o ).
thf(func_def_681,type,
comp_rat_o_nat: ( rat > $o ) > ( nat > rat ) > nat > $o ).
thf(func_def_682,type,
comp_rat_int_int: ( rat > int ) > ( int > rat ) > int > int ).
thf(func_def_683,type,
comp_rat_int_nat: ( rat > int ) > ( nat > rat ) > nat > int ).
thf(func_def_684,type,
comp_rat_int_char: ( rat > int ) > ( char > rat ) > char > int ).
thf(func_def_685,type,
comp_rat_nat_o: ( rat > nat ) > ( $o > rat ) > $o > nat ).
thf(func_def_686,type,
comp_rat_nat_int: ( rat > nat ) > ( int > rat ) > int > nat ).
thf(func_def_687,type,
comp_rat_nat_nat: ( rat > nat ) > ( nat > rat ) > nat > nat ).
thf(func_def_688,type,
comp_rat_nat_rat: ( rat > nat ) > ( rat > rat ) > rat > nat ).
thf(func_def_689,type,
comp_rat_nat_char: ( rat > nat ) > ( char > rat ) > char > nat ).
thf(func_def_690,type,
comp_rat_num_nat: ( rat > num ) > ( nat > rat ) > nat > num ).
thf(func_def_691,type,
comp_rat_num_num: ( rat > num ) > ( num > rat ) > num > num ).
thf(func_def_692,type,
comp_rat_rat_nat: ( rat > rat ) > ( nat > rat ) > nat > rat ).
thf(func_def_693,type,
comp_rat_rat_char: ( rat > rat ) > ( char > rat ) > char > rat ).
thf(func_def_694,type,
comp_rat_char_char: ( rat > char ) > ( char > rat ) > char > char ).
thf(func_def_695,type,
comp_s4786119426940707554nteger: ( set_Co726186806682698383nteger > set_Code_integer ) > ( set_Pr4111642102156807771nteger > set_Co726186806682698383nteger ) > set_Pr4111642102156807771nteger > set_Code_integer ).
thf(func_def_696,type,
comp_s9189197539837705563_set_o: ( set_o > set_nat ) > ( set_o > set_o ) > set_o > set_nat ).
thf(func_def_697,type,
comp_s7717450105097109807et_nat: ( set_int > set_int ) > ( set_nat > set_int ) > set_nat > set_int ).
thf(func_def_698,type,
comp_s2487324123861929025et_int: ( set_int > set_int ) > ( set_set_int > set_int ) > set_set_int > set_int ).
thf(func_def_699,type,
comp_s5712175470073906149et_int: ( set_int > set_nat ) > ( set_set_int > set_int ) > set_set_int > set_nat ).
thf(func_def_700,type,
comp_s7011316712748663051_int_o: ( set_nat > set_int ) > ( $o > set_nat ) > $o > set_int ).
thf(func_def_701,type,
comp_s5617672292595496825nt_int: ( set_nat > set_int ) > ( int > set_nat ) > int > set_int ).
thf(func_def_702,type,
comp_s5620162763104547101nt_nat: ( set_nat > set_int ) > ( nat > set_nat ) > nat > set_int ).
thf(func_def_703,type,
comp_s6458263553158497821et_num: ( set_nat > set_int ) > ( set_num > set_nat ) > set_num > set_int ).
thf(func_def_704,type,
comp_s3768223441818958217et_nat: ( set_nat > set_int ) > ( set_set_nat > set_nat ) > set_set_nat > set_int ).
thf(func_def_705,type,
comp_s33089643564333159_nat_o: ( set_nat > set_nat ) > ( $o > set_nat ) > $o > set_nat ).
thf(func_def_706,type,
comp_s3430750717902475037at_int: ( set_nat > set_nat ) > ( int > set_nat ) > int > set_nat ).
thf(func_def_707,type,
comp_s3433241188411525313at_nat: ( set_nat > set_nat ) > ( nat > set_nat ) > nat > set_nat ).
thf(func_def_708,type,
comp_s8964582002068861047et_nat: ( set_nat > set_nat ) > ( set_nat > set_nat ) > set_nat > set_nat ).
thf(func_def_709,type,
comp_s6993074788030935341et_nat: ( set_nat > set_nat ) > ( set_set_nat > set_nat ) > set_set_nat > set_nat ).
thf(func_def_710,type,
comp_s8507027185284273247_rat_o: ( set_nat > set_rat ) > ( $o > set_nat ) > $o > set_rat ).
thf(func_def_711,type,
comp_s8253438564248248613at_int: ( set_nat > set_rat ) > ( int > set_nat ) > int > set_rat ).
thf(func_def_712,type,
comp_s8255929034757298889at_nat: ( set_nat > set_rat ) > ( nat > set_nat ) > nat > set_rat ).
thf(func_def_713,type,
comp_s6435139744279249717et_nat: ( set_nat > set_rat ) > ( set_set_nat > set_nat ) > set_set_nat > set_rat ).
thf(func_def_714,type,
comp_s7355055891894327172at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > ( produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_715,type,
comp_s8709038167382007543et_int: ( set_set_int > set_int ) > ( set_set_int > set_set_int ) > set_set_int > set_int ).
thf(func_def_716,type,
comp_s1975749275458958491et_nat: ( set_set_int > set_int ) > ( set_set_nat > set_set_int ) > set_set_nat > set_int ).
thf(func_def_717,type,
comp_s6907669228194913343et_int: ( set_set_nat > set_nat ) > ( set_set_int > set_set_nat ) > set_set_int > set_nat ).
thf(func_def_718,type,
comp_s174380336271864291et_nat: ( set_set_nat > set_nat ) > ( set_set_nat > set_set_nat ) > set_set_nat > set_nat ).
thf(func_def_719,type,
comp_s703482200030188019et_nat: ( set_set_rat > set_rat ) > ( set_set_nat > set_set_rat ) > set_set_nat > set_rat ).
thf(func_def_720,type,
comp_char_o_o: ( char > $o ) > ( $o > char ) > $o > $o ).
thf(func_def_721,type,
comp_char_o_char: ( char > $o ) > ( char > char ) > char > $o ).
thf(func_def_722,type,
comp_char_int_char: ( char > int ) > ( char > char ) > char > int ).
thf(func_def_723,type,
comp_char_nat_int: ( char > nat ) > ( int > char ) > int > nat ).
thf(func_def_724,type,
comp_char_nat_nat: ( char > nat ) > ( nat > char ) > nat > nat ).
thf(func_def_725,type,
comp_char_nat_char: ( char > nat ) > ( char > char ) > char > nat ).
thf(func_def_726,type,
comp_char_num_nat: ( char > num ) > ( nat > char ) > nat > num ).
thf(func_def_727,type,
comp_char_num_num: ( char > num ) > ( num > char ) > num > num ).
thf(func_def_728,type,
comp_char_num_char: ( char > num ) > ( char > char ) > char > num ).
thf(func_def_729,type,
comp_char_rat_char: ( char > rat ) > ( char > char ) > char > rat ).
thf(func_def_730,type,
comp_char_set_int_o: ( char > set_int ) > ( $o > char ) > $o > set_int ).
thf(func_def_731,type,
comp_c3102392033783471720nt_nat: ( char > set_int ) > ( nat > char ) > nat > set_int ).
thf(func_def_732,type,
comp_c8883095856794026162nt_num: ( char > set_int ) > ( num > char ) > num > set_int ).
thf(func_def_733,type,
comp_char_set_nat_o: ( char > set_nat ) > ( $o > char ) > $o > set_nat ).
thf(func_def_734,type,
comp_c912979988581399656at_int: ( char > set_nat ) > ( int > char ) > int > set_nat ).
thf(func_def_735,type,
comp_c915470459090449932at_nat: ( char > set_nat ) > ( nat > char ) > nat > set_nat ).
thf(func_def_736,type,
comp_c6696174282101004374at_num: ( char > set_nat ) > ( num > char ) > num > set_nat ).
thf(func_def_737,type,
comp_char_set_rat_o: ( char > set_rat ) > ( $o > char ) > $o > set_rat ).
thf(func_def_738,type,
comp_c5735667834927173232at_int: ( char > set_rat ) > ( int > char ) > int > set_rat ).
thf(func_def_739,type,
comp_c5738158305436223508at_nat: ( char > set_rat ) > ( nat > char ) > nat > set_rat ).
thf(func_def_740,type,
comp_c2295490091592002142at_num: ( char > set_rat ) > ( num > char ) > num > set_rat ).
thf(func_def_741,type,
comp_char_char_char: ( char > char ) > ( char > char ) > char > char ).
thf(func_def_742,type,
fun_upd_o_o: ( $o > $o ) > $o > $o > $o > $o ).
thf(func_def_743,type,
fun_upd_o_nat: ( $o > nat ) > $o > nat > $o > nat ).
thf(func_def_744,type,
fun_up846054379331416818t_unit: ( $o > product_unit ) > $o > product_unit > $o > product_unit ).
thf(func_def_745,type,
fun_upd_o_set_o: ( $o > set_o ) > $o > set_o > $o > set_o ).
thf(func_def_746,type,
fun_up4718931970374059986t_unit: ( $o > set_Product_unit ) > $o > set_Product_unit > $o > set_Product_unit ).
thf(func_def_747,type,
fun_up8056716234270145717nteger: ( code_integer > code_integer > code_integer ) > code_integer > ( code_integer > code_integer ) > code_integer > code_integer > code_integer ).
thf(func_def_748,type,
fun_up8139772397987072257nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_749,type,
fun_upd_int_o: ( int > $o ) > int > $o > int > $o ).
thf(func_def_750,type,
fun_upd_int_int: ( int > int ) > int > int > int > int ).
thf(func_def_751,type,
fun_upd_int_nat: ( int > nat ) > int > nat > int > nat ).
thf(func_def_752,type,
fun_upd_int_num: ( int > num ) > int > num > int > num ).
thf(func_def_753,type,
fun_up2220634978854545698t_unit: ( int > product_unit ) > int > product_unit > int > product_unit ).
thf(func_def_754,type,
fun_upd_int_set_o: ( int > set_o ) > int > set_o > int > set_o ).
thf(func_def_755,type,
fun_upd_int_set_nat: ( int > set_nat ) > int > set_nat > int > set_nat ).
thf(func_def_756,type,
fun_up5054257004045450754t_unit: ( int > set_Product_unit ) > int > set_Product_unit > int > set_Product_unit ).
thf(func_def_757,type,
fun_upd_nat_o: ( nat > $o ) > nat > $o > nat > $o ).
thf(func_def_758,type,
fun_upd_nat_int: ( nat > int ) > nat > int > nat > int ).
thf(func_def_759,type,
fun_upd_nat_nat: ( nat > nat ) > nat > nat > nat > nat ).
thf(func_def_760,type,
fun_upd_nat_rat: ( nat > rat ) > nat > rat > nat > rat ).
thf(func_def_761,type,
fun_upd_nat_set_o: ( nat > set_o ) > nat > set_o > nat > set_o ).
thf(func_def_762,type,
fun_up1220017903161424222t_unit: ( nat > set_Product_unit ) > nat > set_Product_unit > nat > set_Product_unit ).
thf(func_def_763,type,
fun_up5432024876597553480unit_o: ( product_unit > $o ) > product_unit > $o > product_unit > $o ).
thf(func_def_764,type,
fun_up6473050886840373792it_nat: ( product_unit > nat ) > product_unit > nat > product_unit > nat ).
thf(func_def_765,type,
fun_up6875000483049295805t_unit: ( product_unit > product_unit ) > product_unit > product_unit > product_unit > product_unit ).
thf(func_def_766,type,
fun_up1762901246852280360_set_o: ( product_unit > set_o ) > product_unit > set_o > product_unit > set_o ).
thf(func_def_767,type,
fun_up4569834200710200790et_nat: ( product_unit > set_nat ) > product_unit > set_nat > product_unit > set_nat ).
thf(func_def_768,type,
fun_up488859312337516701t_unit: ( product_unit > set_Product_unit ) > product_unit > set_Product_unit > product_unit > set_Product_unit ).
thf(func_def_769,type,
id_nat_o: ( nat > $o ) > nat > $o ).
thf(func_def_770,type,
id_nat_nat: ( nat > nat ) > nat > nat ).
thf(func_def_771,type,
id_Pro496765588584934260nteger: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_772,type,
id_o: $o > $o ).
thf(func_def_773,type,
id_Code_integer: code_integer > code_integer ).
thf(func_def_774,type,
id_int: int > int ).
thf(func_def_775,type,
id_list_nat: list_nat > list_nat ).
thf(func_def_776,type,
id_nat: nat > nat ).
thf(func_def_777,type,
id_num: num > num ).
thf(func_def_778,type,
id_Pro2309048762231606924nteger: produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_779,type,
id_Pro4381231610383771306nt_int: product_prod_int_int > product_prod_int_int ).
thf(func_def_780,type,
id_Pro7559728917991913458at_nat: product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_781,type,
id_Pro8267972854940751164at_num: product_prod_nat_num > product_prod_nat_num ).
thf(func_def_782,type,
id_Pro8722402698821300696at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
thf(func_def_783,type,
id_Pro6043886709289754456at_nat: produc1319942482725812455at_nat > produc1319942482725812455at_nat ).
thf(func_def_784,type,
id_Product_unit: product_unit > product_unit ).
thf(func_def_785,type,
id_rat: rat > rat ).
thf(func_def_786,type,
id_set_o: set_o > set_o ).
thf(func_def_787,type,
id_set_int: set_int > set_int ).
thf(func_def_788,type,
id_set_nat: set_nat > set_nat ).
thf(func_def_789,type,
id_set_num: set_num > set_num ).
thf(func_def_790,type,
id_set2334057505560298834at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_791,type,
id_set7849613212452405432at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_792,type,
id_char: char > char ).
thf(func_def_793,type,
inj_on5500977043710295017nteger: ( ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Co4375521073081744395nteger > $o ).
thf(func_def_794,type,
inj_on3998011822705705585nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Co726186806682698383nteger > $o ).
thf(func_def_795,type,
inj_on856898432580761861nt_nat: ( ( int > int ) > int > nat ) > set_int_int > $o ).
thf(func_def_796,type,
inj_on7039184780174133295nt_int: ( ( int > int ) > set_Pr958786334691620121nt_int ) > set_int_int > $o ).
thf(func_def_797,type,
inj_on5377432224680912883nt_num: ( ( int > nat ) > int > num ) > set_int_nat > $o ).
thf(func_def_798,type,
inj_on_nat_o_nat_o: ( ( nat > $o ) > nat > $o ) > set_nat_o > $o ).
thf(func_def_799,type,
inj_on2461717442902640625at_nat: ( ( nat > nat ) > nat > nat ) > set_nat_nat > $o ).
thf(func_def_800,type,
inj_on3412903767820855855at_nat: ( ( nat > nat ) > set_Pr1261947904930325089at_nat ) > set_nat_nat > $o ).
thf(func_def_801,type,
inj_on_o_o: ( $o > $o ) > set_o > $o ).
thf(func_def_802,type,
inj_on_o_int: ( $o > int ) > set_o > $o ).
thf(func_def_803,type,
inj_on_o_nat: ( $o > nat ) > set_o > $o ).
thf(func_def_804,type,
inj_on4268752236855399398t_unit: ( $o > product_unit ) > set_o > $o ).
thf(func_def_805,type,
inj_on_o_rat: ( $o > rat ) > set_o > $o ).
thf(func_def_806,type,
inj_on_o_char: ( $o > char ) > set_o > $o ).
thf(func_def_807,type,
inj_on108595395805848489nteger: ( code_integer > code_integer > code_integer ) > set_Code_integer > $o ).
thf(func_def_808,type,
inj_on7031512951821619701nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Code_integer > $o ).
thf(func_def_809,type,
inj_on1158064722259180589nteger: ( code_integer > code_integer ) > set_Code_integer > $o ).
thf(func_def_810,type,
inj_on_int_o: ( int > $o ) > set_int > $o ).
thf(func_def_811,type,
inj_on_int_int: ( int > int ) > set_int > $o ).
thf(func_def_812,type,
inj_on_int_nat: ( int > nat ) > set_int > $o ).
thf(func_def_813,type,
inj_on_int_num: ( int > num ) > set_int > $o ).
thf(func_def_814,type,
inj_on5397397550511676250nt_int: ( int > product_prod_int_int ) > set_int > $o ).
thf(func_def_815,type,
inj_on8575894858119818402at_nat: ( int > product_prod_nat_nat ) > set_int > $o ).
thf(func_def_816,type,
inj_on4178023183795006766t_unit: ( int > product_unit ) > set_int > $o ).
thf(func_def_817,type,
inj_on3049792774292151987st_nat: ( list_nat > list_nat ) > set_list_nat > $o ).
thf(func_def_818,type,
inj_on7574789179980466158at_nat: ( list_nat > product_prod_nat_nat ) > set_list_nat > $o ).
thf(func_def_819,type,
inj_on_nat_o: ( nat > $o ) > set_nat > $o ).
thf(func_def_820,type,
inj_on_nat_int: ( nat > int ) > set_nat > $o ).
thf(func_def_821,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(func_def_822,type,
inj_on_nat_num: ( nat > num ) > set_nat > $o ).
thf(func_def_823,type,
inj_on5538052773655684606at_nat: ( nat > product_prod_nat_nat ) > set_nat > $o ).
thf(func_def_824,type,
inj_on6246296710604522312at_num: ( nat > product_prod_nat_num ) > set_nat > $o ).
thf(func_def_825,type,
inj_on7061601236592826506t_unit: ( nat > product_unit ) > set_nat > $o ).
thf(func_def_826,type,
inj_on_nat_rat: ( nat > rat ) > set_nat > $o ).
thf(func_def_827,type,
inj_on_nat_char: ( nat > char ) > set_nat > $o ).
thf(func_def_828,type,
inj_on_num_o: ( num > $o ) > set_num > $o ).
thf(func_def_829,type,
inj_on_num_int: ( num > int ) > set_num > $o ).
thf(func_def_830,type,
inj_on_num_nat: ( num > nat ) > set_num > $o ).
thf(func_def_831,type,
inj_on20428373856169009nteger: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Pr4811707699266497531nteger > $o ).
thf(func_def_832,type,
inj_on6454360653267994289nt_int: ( product_prod_int_int > product_prod_int_int ) > set_Pr958786334691620121nt_int > $o ).
thf(func_def_833,type,
inj_on2178005380612969504at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_834,type,
inj_on8969904277767023793at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_835,type,
inj_on2339680571444523825at_num: ( product_prod_num_nat > product_prod_nat_num ) > set_Pr3280342998896498603um_nat > $o ).
thf(func_def_836,type,
inj_on991952103320416098_nat_o: ( produc859450856879609959at_nat > $o ) > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_837,type,
inj_on490725545064285830at_nat: ( produc859450856879609959at_nat > nat ) > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_838,type,
inj_on229527429751349963at_nat: ( produc859450856879609959at_nat > product_prod_nat_nat ) > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_839,type,
inj_on1041401102088758999t_unit: ( produc859450856879609959at_nat > product_unit ) > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_840,type,
inj_on8430303779476321073at_nat: ( produc3843707927480180839at_nat > produc3843707927480180839at_nat ) > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_841,type,
inj_on3108384905993948887t_unit: ( produc3843707927480180839at_nat > product_unit ) > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_842,type,
inj_on3942866938762682161at_nat: ( produc1319942482725812455at_nat > produc1319942482725812455at_nat ) > set_Pr7459493094073627847at_nat > $o ).
thf(func_def_843,type,
inj_on8854722734121536060unit_o: ( product_unit > $o ) > set_Product_unit > $o ).
thf(func_def_844,type,
inj_on8427948621271784584it_int: ( product_unit > int ) > set_Product_unit > $o ).
thf(func_def_845,type,
inj_on8430439091780834860it_nat: ( product_unit > nat ) > set_Product_unit > $o ).
thf(func_def_846,type,
inj_on8151373323710067377t_unit: ( product_unit > product_unit ) > set_Product_unit > $o ).
thf(func_def_847,type,
inj_on7795309031694339124it_rat: ( product_unit > rat ) > set_Product_unit > $o ).
thf(func_def_848,type,
inj_on1959294024837303853t_char: ( product_unit > char ) > set_Product_unit > $o ).
thf(func_def_849,type,
inj_on_rat_o: ( rat > $o ) > set_rat > $o ).
thf(func_def_850,type,
inj_on_rat_int: ( rat > int ) > set_rat > $o ).
thf(func_def_851,type,
inj_on_rat_nat: ( rat > nat ) > set_rat > $o ).
thf(func_def_852,type,
inj_on8867882244352206326at_nat: ( rat > product_prod_nat_nat ) > set_rat > $o ).
thf(func_def_853,type,
inj_on_rat_rat: ( rat > rat ) > set_rat > $o ).
thf(func_def_854,type,
inj_on6435365835345961783et_int: ( set_int > set_int ) > set_set_int > $o ).
thf(func_def_855,type,
inj_on1389844818000382683et_nat: ( set_int > set_nat ) > set_set_int > $o ).
thf(func_def_856,type,
inj_on426556184350386907et_int: ( set_nat > set_int ) > set_set_nat > $o ).
thf(func_def_857,type,
inj_on4604407203859583615et_nat: ( set_nat > set_nat ) > set_set_nat > $o ).
thf(func_def_858,type,
inj_on1096178645466186887et_rat: ( set_nat > set_rat ) > set_set_nat > $o ).
thf(func_def_859,type,
inj_on699426629415580343at_nat: ( set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ) > set_se7855581050983116737at_nat > $o ).
thf(func_def_860,type,
inj_on1468925692805905105at_nat: ( set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ) > set_se5479201105039950375at_nat > $o ).
thf(func_def_861,type,
inj_on_char_o: ( char > $o ) > set_char > $o ).
thf(func_def_862,type,
inj_on_char_int: ( char > int ) > set_char > $o ).
thf(func_def_863,type,
inj_on_char_nat: ( char > nat ) > set_char > $o ).
thf(func_def_864,type,
inj_on1021528964648911549at_nat: ( char > product_prod_nat_nat ) > set_char > $o ).
thf(func_def_865,type,
inj_on_char_char: ( char > char ) > set_char > $o ).
thf(func_def_866,type,
map_fu1227494855608507351um_num: ( code_integer > int ) > ( num > num ) > ( int > num ) > code_integer > num ).
thf(func_def_867,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_868,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_869,type,
map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).
thf(func_def_870,type,
map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).
thf(func_def_871,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_872,type,
the_inv_into_o_o: set_o > ( $o > $o ) > $o > $o ).
thf(func_def_873,type,
the_inv_into_o_int: set_o > ( $o > int ) > int > $o ).
thf(func_def_874,type,
the_inv_into_o_nat: set_o > ( $o > nat ) > nat > $o ).
thf(func_def_875,type,
the_inv_into_o_rat: set_o > ( $o > rat ) > rat > $o ).
thf(func_def_876,type,
the_inv_into_o_char: set_o > ( $o > char ) > char > $o ).
thf(func_def_877,type,
the_inv_into_int_o: set_int > ( int > $o ) > $o > int ).
thf(func_def_878,type,
the_inv_into_int_int: set_int > ( int > int ) > int > int ).
thf(func_def_879,type,
the_inv_into_int_nat: set_int > ( int > nat ) > nat > int ).
thf(func_def_880,type,
the_inv_into_int_num: set_int > ( int > num ) > num > int ).
thf(func_def_881,type,
the_inv_into_int_rat: set_int > ( int > rat ) > rat > int ).
thf(func_def_882,type,
the_inv_into_nat_o: set_nat > ( nat > $o ) > $o > nat ).
thf(func_def_883,type,
the_inv_into_nat_int: set_nat > ( nat > int ) > int > nat ).
thf(func_def_884,type,
the_inv_into_nat_nat: set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_885,type,
the_inv_into_nat_num: set_nat > ( nat > num ) > num > nat ).
thf(func_def_886,type,
the_inv_into_nat_rat: set_nat > ( nat > rat ) > rat > nat ).
thf(func_def_887,type,
the_in9023905271258939222t_char: set_nat > ( nat > char ) > char > nat ).
thf(func_def_888,type,
the_inv_into_num_o: set_num > ( num > $o ) > $o > num ).
thf(func_def_889,type,
the_inv_into_num_int: set_num > ( num > int ) > int > num ).
thf(func_def_890,type,
the_inv_into_num_nat: set_num > ( num > nat ) > nat > num ).
thf(func_def_891,type,
the_in43325605794470270unit_o: set_Product_unit > ( product_unit > $o ) > $o > product_unit ).
thf(func_def_892,type,
the_in3915408195775746418it_rat: set_Product_unit > ( product_unit > rat ) > rat > product_unit ).
thf(func_def_893,type,
the_in3194898024646563179t_char: set_Product_unit > ( product_unit > char ) > char > product_unit ).
thf(func_def_894,type,
the_inv_into_rat_o: set_rat > ( rat > $o ) > $o > rat ).
thf(func_def_895,type,
the_inv_into_rat_nat: set_rat > ( rat > nat ) > nat > rat ).
thf(func_def_896,type,
fun_in_rel_int_int: set_Pr958786334691620121nt_int > int > int > $o ).
thf(func_def_897,type,
fun_in_rel_nat_nat: set_Pr1261947904930325089at_nat > nat > nat > $o ).
thf(func_def_898,type,
fun_in_rel_nat_num: set_Pr6200539531224447659at_num > nat > num > $o ).
thf(func_def_899,type,
fun_in8056734985859589634at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_900,type,
fun_in6812141508599261570at_nat: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_901,type,
fun_is_measure_int: ( int > nat ) > $o ).
thf(func_def_902,type,
fun_max_strict: set_Pr4329608150637261639at_nat ).
thf(func_def_903,type,
fun_max_weak: set_Pr4329608150637261639at_nat ).
thf(func_def_904,type,
fun_min_strict: set_Pr4329608150637261639at_nat ).
thf(func_def_905,type,
fun_min_weak: set_Pr4329608150637261639at_nat ).
thf(func_def_906,type,
fun_pair_leq: set_Pr8693737435421807431at_nat ).
thf(func_def_907,type,
fun_pair_less: set_Pr8693737435421807431at_nat ).
thf(func_def_908,type,
fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).
thf(func_def_909,type,
fun_rp8445993449185644698at_nat: produc1319942482725812455at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > produc1319942482725812455at_nat ).
thf(func_def_910,type,
gcd_Gcd_int: set_int > int ).
thf(func_def_911,type,
gcd_Gcd_nat: set_nat > nat ).
thf(func_def_912,type,
gcd_Lcm_int: set_int > int ).
thf(func_def_913,type,
gcd_Lcm_nat: set_nat > nat ).
thf(func_def_914,type,
abs_abs_Code_integer: code_integer > code_integer ).
thf(func_def_915,type,
abs_abs_int: int > int ).
thf(func_def_916,type,
abs_abs_rat: rat > rat ).
thf(func_def_917,type,
minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).
thf(func_def_918,type,
minus_minus_int: int > int > int ).
thf(func_def_919,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_920,type,
minus_minus_rat: rat > rat > rat ).
thf(func_def_921,type,
minus_minus_set_o: set_o > set_o > set_o ).
thf(func_def_922,type,
minus_2355218937544613996nteger: set_Code_integer > set_Code_integer > set_Code_integer ).
thf(func_def_923,type,
minus_minus_set_int: set_int > set_int > set_int ).
thf(func_def_924,type,
minus_minus_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_925,type,
minus_7052513330764642158od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o ).
thf(func_def_926,type,
minus_1052850069191792384nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).
thf(func_def_927,type,
minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_928,type,
minus_8321449233255521966at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_929,type,
minus_8235382265540049710at_nat: set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat ).
thf(func_def_930,type,
minus_3314409938677909166at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_931,type,
minus_8674369445256047406at_nat: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat ).
thf(func_def_932,type,
minus_6452836326544984404t_unit: set_Product_unit > set_Product_unit > set_Product_unit ).
thf(func_def_933,type,
minus_minus_set_rat: set_rat > set_rat > set_rat ).
thf(func_def_934,type,
minus_minus_set_char: set_char > set_char > set_char ).
thf(func_def_935,type,
one_one_Code_integer: code_integer ).
thf(func_def_936,type,
one_one_int: int ).
thf(func_def_937,type,
one_one_nat: nat ).
thf(func_def_938,type,
plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).
thf(func_def_939,type,
plus_plus_int: int > int > int ).
thf(func_def_940,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_941,type,
plus_plus_num: num > num > num ).
thf(func_def_942,type,
plus_plus_rat: rat > rat > rat ).
thf(func_def_943,type,
sgn_sgn_Code_integer: code_integer > code_integer ).
thf(func_def_944,type,
sgn_sgn_int: int > int ).
thf(func_def_945,type,
times_3573771949741848930nteger: code_integer > code_integer > code_integer ).
thf(func_def_946,type,
times_times_int: int > int > int ).
thf(func_def_947,type,
times_times_nat: nat > nat > nat ).
thf(func_def_948,type,
times_times_rat: rat > rat > rat ).
thf(func_def_949,type,
uminus1351360451143612070nteger: code_integer > code_integer ).
thf(func_def_950,type,
uminus_uminus_int: int > int ).
thf(func_def_951,type,
uminus2952777764628376836t_unit: product_unit > product_unit ).
thf(func_def_952,type,
uminus_uminus_rat: rat > rat ).
thf(func_def_953,type,
zero_z3403309356797280102nteger: code_integer ).
thf(func_def_954,type,
zero_zero_int: int ).
thf(func_def_955,type,
zero_zero_nat: nat ).
thf(func_def_956,type,
the_Pr5012129486825234846t_unit: ( produc7812382424243267045t_unit > $o ) > produc7812382424243267045t_unit ).
thf(func_def_957,type,
the_Pr4378521158711661632nt_int: ( product_prod_int_int > $o ) > product_prod_int_int ).
thf(func_def_958,type,
the_Pr7557018466319803784at_nat: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_959,type,
the_Pr8265262403268641490at_num: ( product_prod_nat_num > $o ) > product_prod_nat_num ).
thf(func_def_960,type,
the_Pr4604535484834969198at_nat: ( produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat ).
thf(func_def_961,type,
the_Pr4877703158196064750at_nat: ( produc1319942482725812455at_nat > $o ) > produc1319942482725812455at_nat ).
thf(func_def_962,type,
defaul566961228789861419t_unit: product_unit ).
thf(func_def_963,type,
lim_Product_unit: heap_e7401611519738050253t_unit > nat ).
thf(func_def_964,type,
heap_b146640354529102224_ref_a: heap_Heap_ref_a > ( ref_a > heap_Heap_ref_a ) > heap_Heap_ref_a ).
thf(func_def_965,type,
heap_effect_ref_a: heap_Heap_ref_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > ref_a > $o ).
thf(func_def_966,type,
heap_e2830298082929533060t_unit: heap_H6156071679106078628t_unit > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > product_unit > $o ).
thf(func_def_967,type,
heap_effect_a: heap_Heap_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > a > $o ).
thf(func_def_968,type,
heap_guard_ref_a: ( heap_e7401611519738050253t_unit > $o ) > ( heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ) > heap_Heap_ref_a ).
thf(func_def_969,type,
heap_heap_ref_a: ( heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ) > heap_Heap_ref_a ).
thf(func_def_970,type,
heap_raise_ref_a: literal > heap_Heap_ref_a ).
thf(func_def_971,type,
heap_return_ref_a: ref_a > heap_Heap_ref_a ).
thf(func_def_972,type,
heap_success_ref_a: heap_Heap_ref_a > heap_e7401611519738050253t_unit > $o ).
thf(func_def_973,type,
heap_tap_ref_a: ( heap_e7401611519738050253t_unit > ref_a ) > heap_Heap_ref_a ).
thf(func_def_974,type,
heap_tap_a: ( heap_e7401611519738050253t_unit > a ) > heap_Heap_a ).
thf(func_def_975,type,
if_Code_integer: $o > code_integer > code_integer > code_integer ).
thf(func_def_976,type,
if_Heap_Heap_ref_a: $o > heap_Heap_ref_a > heap_Heap_ref_a > heap_Heap_ref_a ).
thf(func_def_977,type,
if_int: $o > int > int > int ).
thf(func_def_978,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_979,type,
if_num: $o > num > num > num ).
thf(func_def_980,type,
if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).
thf(func_def_981,type,
if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_982,type,
if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).
thf(func_def_983,type,
if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_984,type,
if_Pro3444522238938527101atural: $o > produc4675096598859438275atural > produc4675096598859438275atural > produc4675096598859438275atural ).
thf(func_def_985,type,
if_Pro4507677147265585453at_nat: $o > produc859450856879609959at_nat > produc859450856879609959at_nat > produc859450856879609959at_nat ).
thf(func_def_986,type,
if_Pro3594990065127090477at_nat: $o > produc3843707927480180839at_nat > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
thf(func_def_987,type,
if_Product_unit: $o > product_unit > product_unit > product_unit ).
thf(func_def_988,type,
if_rat: $o > rat > rat > rat ).
thf(func_def_989,type,
if_set_o: $o > set_o > set_o > set_o ).
thf(func_def_990,type,
if_set_nat: $o > set_nat > set_nat > set_nat ).
thf(func_def_991,type,
if_set1508868558775481357at_nat: $o > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_992,type,
if_set3208018901896979469at_nat: $o > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_993,type,
if_set_Product_unit: $o > set_Product_unit > set_Product_unit > set_Product_unit ).
thf(func_def_994,type,
abs_Integ: product_prod_nat_nat > int ).
thf(func_def_995,type,
rep_Integ: int > product_prod_nat_nat ).
thf(func_def_996,type,
cr_int: product_prod_nat_nat > int > $o ).
thf(func_def_997,type,
int_ge_less_than: int > set_Pr958786334691620121nt_int ).
thf(func_def_998,type,
int_ge_less_than2: int > set_Pr958786334691620121nt_int ).
thf(func_def_999,type,
intrel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_1000,type,
nat2: int > nat ).
thf(func_def_1001,type,
pcr_int: product_prod_nat_nat > int > $o ).
thf(func_def_1002,type,
inf_inf_int_int_o: ( int > int > $o ) > ( int > int > $o ) > int > int > $o ).
thf(func_def_1003,type,
inf_inf_nat_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > nat > $o ).
thf(func_def_1004,type,
inf_inf_nat_num_o: ( nat > num > $o ) > ( nat > num > $o ) > nat > num > $o ).
thf(func_def_1005,type,
inf_in6124848772414083356_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_1006,type,
inf_in6969519006101653788_nat_o: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1007,type,
inf_inf_int: int > int > int ).
thf(func_def_1008,type,
inf_inf_nat: nat > nat > nat ).
thf(func_def_1009,type,
inf_inf_Product_unit: product_unit > product_unit > product_unit ).
thf(func_def_1010,type,
inf_inf_rat: rat > rat > rat ).
thf(func_def_1011,type,
inf_inf_set_o: set_o > set_o > set_o ).
thf(func_def_1012,type,
inf_in1364745209274528805nteger: set_Code_integer > set_Code_integer > set_Code_integer ).
thf(func_def_1013,type,
inf_inf_set_int: set_int > set_int > set_int ).
thf(func_def_1014,type,
inf_inf_set_list_nat: set_list_nat > set_list_nat > set_list_nat ).
thf(func_def_1015,type,
inf_inf_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_1016,type,
inf_in2269163501485487111nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).
thf(func_def_1017,type,
inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1018,type,
inf_in7510916698018314649at_num: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num ).
thf(func_def_1019,type,
inf_in4302113700860409141at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_1020,type,
inf_in7913087082777306421at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1021,type,
inf_in2456762090751560885at_nat: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat ).
thf(func_def_1022,type,
inf_in4660618365625256667t_unit: set_Product_unit > set_Product_unit > set_Product_unit ).
thf(func_def_1023,type,
inf_inf_set_rat: set_rat > set_rat > set_rat ).
thf(func_def_1024,type,
inf_inf_set_char: set_char > set_char > set_char ).
thf(func_def_1025,type,
sup_su1544571744061072657eger_o: ( int > code_integer > $o ) > ( int > code_integer > $o ) > int > code_integer > $o ).
thf(func_def_1026,type,
sup_sup_int_int_o: ( int > int > $o ) > ( int > int > $o ) > int > int > $o ).
thf(func_def_1027,type,
sup_sup_nat_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > nat > $o ).
thf(func_def_1028,type,
sup_sup_nat_num_o: ( nat > num > $o ) > ( nat > num > $o ) > nat > num > $o ).
thf(func_def_1029,type,
sup_su5231854730092680051_int_o: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat > int > $o ).
thf(func_def_1030,type,
sup_su362511073950362882_nat_o: ( 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 > $o ).
thf(func_def_1031,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_1032,type,
sup_su6164525874564267778_nat_o: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1033,type,
sup_sup_int: int > int > int ).
thf(func_def_1034,type,
sup_sup_nat: nat > nat > nat ).
thf(func_def_1035,type,
sup_sup_Product_unit: product_unit > product_unit > product_unit ).
thf(func_def_1036,type,
sup_sup_rat: rat > rat > rat ).
thf(func_def_1037,type,
sup_sup_set_o: set_o > set_o > set_o ).
thf(func_def_1038,type,
sup_sup_set_int: set_int > set_int > set_int ).
thf(func_def_1039,type,
sup_sup_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_1040,type,
sup_su5769328420594410459od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o ).
thf(func_def_1041,type,
sup_su8679140417860611193_o_nat: set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat ).
thf(func_def_1042,type,
sup_su4058753791541417424t_unit: set_Pr6671815714118170108t_unit > set_Pr6671815714118170108t_unit > set_Pr6671815714118170108t_unit ).
thf(func_def_1043,type,
sup_su6024340866399070445nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).
thf(func_def_1044,type,
sup_su503371503184139039_nat_o: set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o ).
thf(func_def_1045,type,
sup_su6327502436637775413at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1046,type,
sup_su2042722026077122175at_num: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num ).
thf(func_def_1047,type,
sup_su4209953369189666580t_unit: set_Pr4334478416066269672t_unit > set_Pr4334478416066269672t_unit > set_Pr4334478416066269672t_unit ).
thf(func_def_1048,type,
sup_su718114333110466843at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_1049,type,
sup_su2851927382625014182unit_o: set_Pr5464989305201766866unit_o > set_Pr5464989305201766866unit_o > set_Pr5464989305201766866unit_o ).
thf(func_def_1050,type,
sup_su1639320892072265582it_nat: set_Pr1763845938948868674it_nat > set_Pr1763845938948868674it_nat > set_Pr1763845938948868674it_nat ).
thf(func_def_1051,type,
sup_su6481247232241170203t_unit: set_Pr5094982260447487303t_unit > set_Pr5094982260447487303t_unit > set_Pr5094982260447487303t_unit ).
thf(func_def_1052,type,
sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1053,type,
sup_su5395584912770621083at_nat: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat ).
thf(func_def_1054,type,
sup_su793286257634532545t_unit: set_Product_unit > set_Product_unit > set_Product_unit ).
thf(func_def_1055,type,
sup_sup_set_rat: set_rat > set_rat > set_rat ).
thf(func_def_1056,type,
sup_sup_set_set_o: set_set_o > set_set_o > set_set_o ).
thf(func_def_1057,type,
sup_sup_set_set_nat: set_set_nat > set_set_nat > set_set_nat ).
thf(func_def_1058,type,
sup_su3642409539654194069at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).
thf(func_def_1059,type,
sup_su474284620922681339at_nat: set_se5479201105039950375at_nat > set_se5479201105039950375at_nat > set_se5479201105039950375at_nat ).
thf(func_def_1060,type,
sup_su5975557051335651745t_unit: set_set_Product_unit > set_set_Product_unit > set_set_Product_unit ).
thf(func_def_1061,type,
lattic8265883725875713057ax_nat: set_nat > nat ).
thf(func_def_1062,type,
quotie9062115205763428814nteger: ( ( code_integer > code_integer ) > ( code_integer > code_integer ) > $o ) > ( ( code_integer > code_integer ) > code_integer ) > ( code_integer > code_integer > code_integer ) > ( ( code_integer > code_integer ) > code_integer > $o ) > $o ).
thf(func_def_1063,type,
quotie8207154290130328982nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > code_integer ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > $o ) > $o ).
thf(func_def_1064,type,
quotie8803226531959296410nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer ) > ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > $o ) > $o ).
thf(func_def_1065,type,
quotient_o_o: ( $o > $o > $o ) > ( $o > $o ) > ( $o > $o ) > ( $o > $o > $o ) > $o ).
thf(func_def_1066,type,
quotient_o_nat: ( $o > $o > $o ) > ( $o > nat ) > ( nat > $o ) > ( $o > nat > $o ) > $o ).
thf(func_def_1067,type,
quotie2291698863146621601nteger: ( int > int > $o ) > ( int > code_integer ) > ( code_integer > int ) > ( int > code_integer > $o ) > $o ).
thf(func_def_1068,type,
quotient_int_int: ( int > int > $o ) > ( int > int ) > ( int > int ) > ( int > int > $o ) > $o ).
thf(func_def_1069,type,
quotient_int_nat: ( int > int > $o ) > ( int > nat ) > ( nat > int ) > ( int > nat > $o ) > $o ).
thf(func_def_1070,type,
quotient_int_num: ( int > int > $o ) > ( int > num ) > ( num > int ) > ( int > num > $o ) > $o ).
thf(func_def_1071,type,
quotient_nat_o: ( nat > nat > $o ) > ( nat > $o ) > ( $o > nat ) > ( nat > $o > $o ) > $o ).
thf(func_def_1072,type,
quotient_nat_int: ( nat > nat > $o ) > ( nat > int ) > ( int > nat ) > ( nat > int > $o ) > $o ).
thf(func_def_1073,type,
quotient_nat_nat: ( nat > nat > $o ) > ( nat > nat ) > ( nat > nat ) > ( nat > nat > $o ) > $o ).
thf(func_def_1074,type,
quotient_nat_num: ( nat > nat > $o ) > ( nat > num ) > ( num > nat ) > ( nat > num > $o ) > $o ).
thf(func_def_1075,type,
quotient_nat_rat: ( nat > nat > $o ) > ( nat > rat ) > ( rat > nat ) > ( nat > rat > $o ) > $o ).
thf(func_def_1076,type,
quotient_nat_char: ( nat > nat > $o ) > ( nat > char ) > ( char > nat ) > ( nat > char > $o ) > $o ).
thf(func_def_1077,type,
quotient_num_int: ( num > num > $o ) > ( num > int ) > ( int > num ) > ( num > int > $o ) > $o ).
thf(func_def_1078,type,
quotient_num_nat: ( num > num > $o ) > ( num > nat ) > ( nat > num ) > ( num > nat > $o ) > $o ).
thf(func_def_1079,type,
quotie1194848508323700631at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int > $o ) > $o ).
thf(func_def_1080,type,
quotie4166942682936818134at_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 ) > $o ).
thf(func_def_1081,type,
quotient_rat_int: ( rat > rat > $o ) > ( rat > int ) > ( int > rat ) > ( rat > int > $o ) > $o ).
thf(func_def_1082,type,
quotient_rat_nat: ( rat > rat > $o ) > ( rat > nat ) > ( nat > rat ) > ( rat > nat > $o ) > $o ).
thf(func_def_1083,type,
quotient_rat_rat: ( rat > rat > $o ) > ( rat > rat ) > ( rat > rat ) > ( rat > rat > $o ) > $o ).
thf(func_def_1084,type,
quotient_rat_char: ( rat > rat > $o ) > ( rat > char ) > ( char > rat ) > ( rat > char > $o ) > $o ).
thf(func_def_1085,type,
quotient_char_int: ( char > char > $o ) > ( char > int ) > ( int > char ) > ( char > int > $o ) > $o ).
thf(func_def_1086,type,
quotient_char_nat: ( char > char > $o ) > ( char > nat ) > ( nat > char ) > ( char > nat > $o ) > $o ).
thf(func_def_1087,type,
quotient_char_rat: ( char > char > $o ) > ( char > rat ) > ( rat > char ) > ( char > rat > $o ) > $o ).
thf(func_def_1088,type,
quotient_char_char: ( char > char > $o ) > ( char > char ) > ( char > char ) > ( char > char > $o ) > $o ).
thf(func_def_1089,type,
all_interval_nat: ( nat > $o ) > nat > nat > $o ).
thf(func_def_1090,type,
cons_nat: nat > list_nat > list_nat ).
thf(func_def_1091,type,
nil_nat: list_nat ).
thf(func_def_1092,type,
list_ex_nat: ( nat > $o ) > list_nat > $o ).
thf(func_def_1093,type,
upt: nat > nat > list_nat ).
thf(func_def_1094,type,
suc: nat > nat ).
thf(func_def_1095,type,
case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).
thf(func_def_1096,type,
semiring_1_Nats_int: set_int ).
thf(func_def_1097,type,
semiri1314217659103216013at_int: nat > int ).
thf(func_def_1098,type,
nat_int_decode: nat > int ).
thf(func_def_1099,type,
nat_int_encode: int > nat ).
thf(func_def_1100,type,
nat_list_decode: nat > list_nat ).
thf(func_def_1101,type,
nat_list_decode_rel: nat > nat > $o ).
thf(func_def_1102,type,
nat_list_encode: list_nat > nat ).
thf(func_def_1103,type,
nat_prod_decode: nat > product_prod_nat_nat ).
thf(func_def_1104,type,
nat_prod_encode: product_prod_nat_nat > nat ).
thf(func_def_1105,type,
nat_sum_decode: nat > sum_sum_nat_nat ).
thf(func_def_1106,type,
nat_sum_encode: sum_sum_nat_nat > nat ).
thf(func_def_1107,type,
nat_triangle: nat > nat ).
thf(func_def_1108,type,
bit0: num > num ).
thf(func_def_1109,type,
bit1: num > num ).
thf(func_def_1110,type,
one: num ).
thf(func_def_1111,type,
case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).
thf(func_def_1112,type,
num_of_nat: nat > num ).
thf(func_def_1113,type,
numera6620942414471956472nteger: num > code_integer ).
thf(func_def_1114,type,
numeral_numeral_int: num > int ).
thf(func_def_1115,type,
numeral_numeral_nat: num > nat ).
thf(func_def_1116,type,
none_num: option_num ).
thf(func_def_1117,type,
some_num: num > option_num ).
thf(func_def_1118,type,
case_option_num_num: num > ( num > num ) > option_num > num ).
thf(func_def_1119,type,
case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).
thf(func_def_1120,type,
order_aboveS_int: set_Pr958786334691620121nt_int > int > set_int ).
thf(func_def_1121,type,
order_aboveS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).
thf(func_def_1122,type,
order_1761765819289301284nt_int: set_Pr2560585780119916871nt_int > product_prod_int_int > set_Pr958786334691620121nt_int ).
thf(func_def_1123,type,
order_4940263126897443436at_nat: set_Pr8693737435421807431at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1124,type,
order_4440095836999870412at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).
thf(func_def_1125,type,
order_2442354982230848562at_nat: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat ).
thf(func_def_1126,type,
order_6238756238976269133r_on_o: set_o > set_Product_prod_o_o > $o ).
thf(func_def_1127,type,
order_4471489696718655927on_int: set_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_1128,type,
order_4473980167227706203on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1129,type,
order_7480980593162297270at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_1130,type,
order_2711500226769404828at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o ).
thf(func_def_1131,type,
order_888282469287196226t_unit: set_Product_unit > set_Pr5094982260447487303t_unit > $o ).
thf(func_def_1132,type,
order_5942792088423767318at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1133,type,
order_1878278401035043452at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o ).
thf(func_def_1134,type,
order_1960202971199294558of_int: ( int > int > $o ) > set_int > set_Pr958786334691620121nt_int ).
thf(func_def_1135,type,
order_1962693441708344834of_nat: ( nat > nat > $o ) > set_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1136,type,
order_8809246210994205103at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1137,type,
order_8308734813930759573at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat ).
thf(func_def_1138,type,
order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).
thf(func_def_1139,type,
order_2615775362358406454r_on_o: set_o > set_Product_prod_o_o > $o ).
thf(func_def_1140,type,
order_2886507596567047182on_int: set_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_1141,type,
order_2888998067076097458on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1142,type,
order_8331247224601271455at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_1143,type,
order_2339240034117818117at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o ).
thf(func_def_1144,type,
order_3164716736300062379t_unit: set_Product_unit > set_Pr5094982260447487303t_unit > $o ).
thf(func_def_1145,type,
order_1968183844437341695at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1146,type,
order_423636163458052581at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o ).
thf(func_def_1147,type,
bot_bo341146761387662761eger_o: int > code_integer > $o ).
thf(func_def_1148,type,
bot_bot_int_int_o: int > int > $o ).
thf(func_def_1149,type,
bot_bot_nat_nat_o: nat > nat > $o ).
thf(func_def_1150,type,
bot_bot_nat_num_o: nat > num > $o ).
thf(func_def_1151,type,
bot_bo5438875203632553179_int_o: product_prod_nat_nat > int > $o ).
thf(func_def_1152,type,
bot_bo4898103413517107610_nat_o: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_1153,type,
bot_bo394778441745866138_nat_o: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1154,type,
bot_bo3364206721330744218_nat_o: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1155,type,
bot_bo2717538794563056311t_unit: pred_Product_unit ).
thf(func_def_1156,type,
bot_bot_Product_unit: product_unit ).
thf(func_def_1157,type,
bot_bot_set_o: set_o ).
thf(func_def_1158,type,
bot_bo3686245532977126937t_unit: set_he8644174446132254637t_unit ).
thf(func_def_1159,type,
bot_bot_set_ref_a: set_ref_a ).
thf(func_def_1160,type,
bot_bot_set_int: set_int ).
thf(func_def_1161,type,
bot_bot_set_nat: set_nat ).
thf(func_def_1162,type,
bot_bot_set_num: set_num ).
thf(func_def_1163,type,
bot_bo7073875226086086771od_o_o: set_Product_prod_o_o ).
thf(func_def_1164,type,
bot_bo66526543525301729_o_nat: set_Pr2101469702781467981_o_nat ).
thf(func_def_1165,type,
bot_bo4402188677660116584t_unit: set_Pr6671815714118170108t_unit ).
thf(func_def_1166,type,
bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).
thf(func_def_1167,type,
bot_bo1114129665703605383_nat_o: set_Pr3149072824959771635_nat_o ).
thf(func_def_1168,type,
bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).
thf(func_def_1169,type,
bot_bo7038385379056416535at_num: set_Pr6200539531224447659at_num ).
thf(func_def_1170,type,
bot_bo5043309098482578556t_unit: set_Pr4334478416066269672t_unit ).
thf(func_def_1171,type,
bot_bo5327735625951526323at_nat: set_Pr8693737435421807431at_nat ).
thf(func_def_1172,type,
bot_bo7193250159860175667at_nat: set_Pr5564308138774400199at_nat ).
thf(func_def_1173,type,
bot_bo3195362268743713342unit_o: set_Pr5464989305201766866unit_o ).
thf(func_def_1174,type,
bot_bo2472676621365177558it_nat: set_Pr1763845938948868674it_nat ).
thf(func_def_1175,type,
bot_bo6659885642593197735at_nat: set_Pr3798168094891919931at_nat ).
thf(func_def_1176,type,
bot_bo1654022762305692595t_unit: set_Pr5094982260447487303t_unit ).
thf(func_def_1177,type,
bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).
thf(func_def_1178,type,
bot_bo4948859079157340979at_nat: set_Pr7459493094073627847at_nat ).
thf(func_def_1179,type,
bot_bo3957492148770167129t_unit: set_Product_unit ).
thf(func_def_1180,type,
bot_bot_set_rat: set_rat ).
thf(func_def_1181,type,
bot_bot_set_set_nat: set_set_nat ).
thf(func_def_1182,type,
bot_bo3083307316010499117at_nat: set_se7855581050983116737at_nat ).
thf(func_def_1183,type,
bot_bo1534825418459847827at_nat: set_se5479201105039950375at_nat ).
thf(func_def_1184,type,
bot_bot_set_char: set_char ).
thf(func_def_1185,type,
ord_le6747313008572928689nteger: code_integer > code_integer > $o ).
thf(func_def_1186,type,
ord_less_int: int > int > $o ).
thf(func_def_1187,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_1188,type,
ord_less_rat: rat > rat > $o ).
thf(func_def_1189,type,
ord_le7522433683449569238eger_o: ( ( int > int ) > ( code_integer > code_integer ) > $o ) > ( ( int > int ) > ( code_integer > code_integer ) > $o ) > $o ).
thf(func_def_1190,type,
ord_le6931201860925936491_num_o: ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( int > num ) > ( code_integer > num ) > $o ) > $o ).
thf(func_def_1191,type,
ord_le4541714130423454556_num_o: ( ( int > num ) > ( int > num ) > $o ) > ( ( int > num ) > ( int > num ) > $o ) > $o ).
thf(func_def_1192,type,
ord_le8615040745438789472_int_o: ( ( int > product_prod_nat_nat ) > ( code_integer > int ) > $o ) > ( ( int > product_prod_nat_nat ) > ( code_integer > int ) > $o ) > $o ).
thf(func_def_1193,type,
ord_le2932013042137311317nt_o_o: ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > $o ).
thf(func_def_1194,type,
ord_le6141271677531915726eger_o: ( ( product_prod_nat_nat > int ) > ( int > code_integer ) > $o ) > ( ( product_prod_nat_nat > int ) > ( int > code_integer ) > $o ) > $o ).
thf(func_def_1195,type,
ord_le1714508135640884727_nat_o: ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > $o ).
thf(func_def_1196,type,
ord_le2484784447047653514_int_o: ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > $o ).
thf(func_def_1197,type,
ord_le3602516367967493612eger_o: ( code_integer > code_integer > $o ) > ( code_integer > code_integer > $o ) > $o ).
thf(func_def_1198,type,
ord_le996066559646421213eger_o: ( int > code_integer > $o ) > ( int > code_integer > $o ) > $o ).
thf(func_def_1199,type,
ord_le6741204236512500942_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).
thf(func_def_1200,type,
ord_le8236914709048111138_rat_o: ( int > rat > $o ) > ( int > rat > $o ) > $o ).
thf(func_def_1201,type,
ord_le7608100903186094441char_o: ( int > char > $o ) > ( int > char > $o ) > $o ).
thf(func_def_1202,type,
ord_le2646555220125990790_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_1203,type,
ord_le3404735783095501756_num_o: ( nat > num > $o ) > ( nat > num > $o ) > $o ).
thf(func_def_1204,type,
ord_le1897120724991155070_rat_o: ( nat > rat > $o ) > ( nat > rat > $o ) > $o ).
thf(func_def_1205,type,
ord_le4878496333587278021char_o: ( nat > char > $o ) > ( nat > char > $o ) > $o ).
thf(func_def_1206,type,
ord_le6124364862034508274_num_o: ( num > num > $o ) > ( num > num > $o ) > $o ).
thf(func_def_1207,type,
ord_le129227817499904167_int_o: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > $o ).
thf(func_def_1208,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_1209,type,
ord_le3222257882335906850_int_o: ( rat > int > $o ) > ( rat > int > $o ) > $o ).
thf(func_def_1210,type,
ord_le5467402850006352766_nat_o: ( rat > nat > $o ) > ( rat > nat > $o ) > $o ).
thf(func_def_1211,type,
ord_le4717968354871517046_rat_o: ( rat > rat > $o ) > ( rat > rat > $o ) > $o ).
thf(func_def_1212,type,
ord_le6546876390139131069char_o: ( rat > char > $o ) > ( rat > char > $o ) > $o ).
thf(func_def_1213,type,
ord_le3935385432712749774_nat_o: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > $o ).
thf(func_def_1214,type,
ord_le3072208448688395470_nat_o: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > $o ).
thf(func_def_1215,type,
ord_le3396192186225775209_int_o: ( char > int > $o ) > ( char > int > $o ) > $o ).
thf(func_def_1216,type,
ord_le5641337153896221125_nat_o: ( char > nat > $o ) > ( char > nat > $o ) > $o ).
thf(func_def_1217,type,
ord_le4891902658761385405_rat_o: ( char > rat > $o ) > ( char > rat > $o ) > $o ).
thf(func_def_1218,type,
ord_le2540245887939449860char_o: ( char > char > $o ) > ( char > char > $o ) > $o ).
thf(func_def_1219,type,
ord_le3102999989581377725nteger: code_integer > code_integer > $o ).
thf(func_def_1220,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_1221,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_1222,type,
ord_le3221252021190050221t_unit: product_unit > product_unit > $o ).
thf(func_def_1223,type,
ord_less_eq_rat: rat > rat > $o ).
thf(func_def_1224,type,
ord_le348599935723844335nteger: set_Co726186806682698383nteger > set_Co726186806682698383nteger > $o ).
thf(func_def_1225,type,
ord_less_eq_set_o: set_o > set_o > $o ).
thf(func_def_1226,type,
ord_less_eq_set_int: set_int > set_int > $o ).
thf(func_def_1227,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_1228,type,
ord_less_eq_set_num: set_num > set_num > $o ).
thf(func_def_1229,type,
ord_le192195778054999463od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > $o ).
thf(func_def_1230,type,
ord_le6472378536984071597_o_nat: set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat > $o ).
thf(func_def_1231,type,
ord_le518195775913581980t_unit: set_Pr6671815714118170108t_unit > set_Pr6671815714118170108t_unit > $o ).
thf(func_def_1232,type,
ord_le5525191956872776187t_unit: set_Pr1133966238863718811t_unit > set_Pr1133966238863718811t_unit > $o ).
thf(func_def_1233,type,
ord_le2638047946463454698nteger: set_Pr8415741480598773322nteger > set_Pr8415741480598773322nteger > $o ).
thf(func_def_1234,type,
ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_1235,type,
ord_le5333435103577920093nt_nat: set_Pr3448869479623346877nt_nat > set_Pr3448869479623346877nt_nat > $o ).
thf(func_def_1236,type,
ord_le7519981659162375251_nat_o: set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o > $o ).
thf(func_def_1237,type,
ord_le656430383953171549at_int: set_Pr7995236796853374141at_int > set_Pr7995236796853374141at_int > $o ).
thf(func_def_1238,type,
ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1239,type,
ord_le8085105155179020875at_num: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > $o ).
thf(func_def_1240,type,
ord_le1468274181084648008t_unit: set_Pr4334478416066269672t_unit > set_Pr4334478416066269672t_unit > $o ).
thf(func_def_1241,type,
ord_le5989899228261996553at_rat: set_Pr4105333604307423337at_rat > set_Pr4105333604307423337at_rat > $o ).
thf(func_def_1242,type,
ord_le5164908622851071819um_nat: set_Pr3280342998896498603um_nat > set_Pr3280342998896498603um_nat > $o ).
thf(func_def_1243,type,
ord_le880128212290418581um_num: set_Pr8218934625190621173um_num > set_Pr8218934625190621173um_num > $o ).
thf(func_def_1244,type,
ord_le4604737605482584818at_int: set_Pr49084382684228242at_int > set_Pr49084382684228242at_int > $o ).
thf(func_def_1245,type,
ord_le3000389064537975527at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_1246,type,
ord_le3091953645718357095at_nat: set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat > $o ).
thf(func_def_1247,type,
ord_le8534741403851954546unit_o: set_Pr5464989305201766866unit_o > set_Pr5464989305201766866unit_o > $o ).
thf(func_def_1248,type,
ord_le8121013740822022818it_nat: set_Pr1763845938948868674it_nat > set_Pr1763845938948868674it_nat > $o ).
thf(func_def_1249,type,
ord_le8681960759543468507at_nat: set_Pr3798168094891919931at_nat > set_Pr3798168094891919931at_nat > $o ).
thf(func_def_1250,type,
ord_le930853871177014503t_unit: set_Pr5094982260447487303t_unit > set_Pr5094982260447487303t_unit > $o ).
thf(func_def_1251,type,
ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1252,type,
ord_le5997549366648089703at_nat: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > $o ).
thf(func_def_1253,type,
ord_le3507040750410214029t_unit: set_Product_unit > set_Product_unit > $o ).
thf(func_def_1254,type,
ord_less_eq_set_rat: set_rat > set_rat > $o ).
thf(func_def_1255,type,
ord_le4403425263959731960et_int: set_set_int > set_set_int > $o ).
thf(func_def_1256,type,
ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).
thf(func_def_1257,type,
ord_le2077887516847798113at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o ).
thf(func_def_1258,type,
ord_le7966958417815640519at_nat: set_se5479201105039950375at_nat > set_se5479201105039950375at_nat > $o ).
thf(func_def_1259,type,
ord_le513522071413781156et_rat: set_set_rat > set_set_rat > $o ).
thf(func_def_1260,type,
ord_less_eq_set_char: set_char > set_char > $o ).
thf(func_def_1261,type,
order_3677659787690696076nt_int: ( int > int ) > $o ).
thf(func_def_1262,type,
order_3680150258199746352nt_nat: ( int > nat ) > $o ).
thf(func_def_1263,type,
order_2678306075789641520at_int: ( nat > int ) > $o ).
thf(func_def_1264,type,
order_2680796546298691796at_nat: ( nat > nat ) > $o ).
thf(func_def_1265,type,
order_2045666486212196060at_rat: ( nat > rat ) > $o ).
thf(func_def_1266,type,
order_mono_o_int: ( $o > int ) > $o ).
thf(func_def_1267,type,
order_mono_o_nat: ( $o > nat ) > $o ).
thf(func_def_1268,type,
order_7782127260464396005t_unit: ( $o > product_unit ) > $o ).
thf(func_def_1269,type,
order_mono_int_int: ( int > int ) > $o ).
thf(func_def_1270,type,
order_mono_int_nat: ( int > nat ) > $o ).
thf(func_def_1271,type,
order_2843698775922903023t_unit: ( int > product_unit ) > $o ).
thf(func_def_1272,type,
order_mono_nat_int: ( nat > int ) > $o ).
thf(func_def_1273,type,
order_mono_nat_nat: ( nat > nat ) > $o ).
thf(func_def_1274,type,
order_5727276828720722763t_unit: ( nat > product_unit ) > $o ).
thf(func_def_1275,type,
order_mono_nat_rat: ( nat > rat ) > $o ).
thf(func_def_1276,type,
order_7093624213399680841it_int: ( product_unit > int ) > $o ).
thf(func_def_1277,type,
order_7096114683908731117it_nat: ( product_unit > nat ) > $o ).
thf(func_def_1278,type,
order_4454465170704313136t_unit: ( product_unit > product_unit ) > $o ).
thf(func_def_1279,type,
order_509894322932672675et_nat: ( product_unit > set_nat ) > $o ).
thf(func_def_1280,type,
order_7928700340835332885t_unit: ( set_nat > product_unit ) > $o ).
thf(func_def_1281,type,
order_1005506198798982270et_nat: ( set_nat > set_nat ) > $o ).
thf(func_def_1282,type,
order_6722886889984875411nt_int: ( int > int ) > $o ).
thf(func_def_1283,type,
order_6725377360493925687nt_nat: ( int > nat ) > $o ).
thf(func_def_1284,type,
order_6090247300407429951nt_rat: ( int > rat ) > $o ).
thf(func_def_1285,type,
order_5723533178083820855at_int: ( nat > int ) > $o ).
thf(func_def_1286,type,
order_5726023648592871131at_nat: ( nat > nat ) > $o ).
thf(func_def_1287,type,
order_5090893588506375395at_rat: ( nat > rat ) > $o ).
thf(func_def_1288,type,
order_5406978534148954943at_int: ( rat > int ) > $o ).
thf(func_def_1289,type,
order_5409469004658005219at_nat: ( rat > nat ) > $o ).
thf(func_def_1290,type,
order_4774338944571509483at_rat: ( rat > rat ) > $o ).
thf(func_def_1291,type,
top_top_int_int_o: int > int > $o ).
thf(func_def_1292,type,
top_top_nat_nat_o: nat > nat > $o ).
thf(func_def_1293,type,
top_top_nat_num_o: nat > num > $o ).
thf(func_def_1294,type,
top_to8903224817164384382_nat_o: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1295,type,
top_to1326704617074743934_nat_o: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1296,type,
top_top_Product_unit: product_unit ).
thf(func_def_1297,type,
top_to3639204395728341691nteger: set_Co4375521073081744395nteger ).
thf(func_def_1298,type,
top_to3804862627464599871nteger: set_Co726186806682698383nteger ).
thf(func_def_1299,type,
top_top_set_int_int: set_int_int ).
thf(func_def_1300,type,
top_top_set_int_nat: set_int_nat ).
thf(func_def_1301,type,
top_top_set_int_rat: set_int_rat ).
thf(func_def_1302,type,
top_top_set_int_char: set_int_char ).
thf(func_def_1303,type,
top_top_set_nat_o: set_nat_o ).
thf(func_def_1304,type,
top_top_set_nat_nat: set_nat_nat ).
thf(func_def_1305,type,
top_top_set_nat_rat: set_nat_rat ).
thf(func_def_1306,type,
top_top_set_nat_char: set_nat_char ).
thf(func_def_1307,type,
top_top_set_rat_nat: set_rat_nat ).
thf(func_def_1308,type,
top_top_set_rat_rat: set_rat_rat ).
thf(func_def_1309,type,
top_top_set_rat_char: set_rat_char ).
thf(func_def_1310,type,
top_top_set_char_nat: set_char_nat ).
thf(func_def_1311,type,
top_top_set_char_rat: set_char_rat ).
thf(func_def_1312,type,
top_to8079350907815874599r_char: set_char_char ).
thf(func_def_1313,type,
top_top_set_o: set_o ).
thf(func_def_1314,type,
top_to4645266643341252675nteger: set_Code_integer ).
thf(func_def_1315,type,
top_to3956321331435058429t_unit: set_he8644174446132254637t_unit ).
thf(func_def_1316,type,
top_top_set_ref_a: set_ref_a ).
thf(func_def_1317,type,
top_top_set_int: set_int ).
thf(func_def_1318,type,
top_top_set_list_nat: set_list_nat ).
thf(func_def_1319,type,
top_top_set_nat: set_nat ).
thf(func_def_1320,type,
top_top_set_num: set_num ).
thf(func_def_1321,type,
top_to2363841527343591755nteger: set_Pr4811707699266497531nteger ).
thf(func_def_1322,type,
top_to2503719809363509323t_unit: set_Pr1133966238863718811t_unit ).
thf(func_def_1323,type,
top_to4366644338036079209nt_int: set_Pr958786334691620121nt_int ).
thf(func_def_1324,type,
top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).
thf(func_def_1325,type,
top_to385025497714130939at_num: set_Pr6200539531224447659at_num ).
thf(func_def_1326,type,
top_to7513191607651882425at_rat: set_Pr4105333604307423337at_rat ).
thf(func_def_1327,type,
top_to7107842681480589234t_char: set_Pr2926629348867340898t_char ).
thf(func_def_1328,type,
top_to7002410609688830997at_int: set_Pr3594552606344371909at_int ).
thf(func_def_1329,type,
top_to269121717765781945at_nat: set_Pr6084635751276098665at_nat ).
thf(func_def_1330,type,
top_to3112507417142880193at_rat: set_Pr8928021450653196913at_rat ).
thf(func_def_1331,type,
top_to3221206985699244474t_char: set_Pr8263365689940771946t_char ).
thf(func_def_1332,type,
top_to6833984726390702231at_nat: set_Pr4329608150637261639at_nat ).
thf(func_def_1333,type,
top_to5281548843312042519at_nat: set_Pr7459493094073627847at_nat ).
thf(func_def_1334,type,
top_to3104204703268025230ar_int: set_Pr8146363407509552702ar_int ).
thf(func_def_1335,type,
top_to5594287848199751986ar_nat: set_Pr1413074515586503650ar_nat ).
thf(func_def_1336,type,
top_to8437673547576850234ar_rat: set_Pr4256460214963601898ar_rat ).
thf(func_def_1337,type,
top_to1235241553633177651r_char: set_Pr3309569728657787619r_char ).
thf(func_def_1338,type,
top_to1996260823553986621t_unit: set_Product_unit ).
thf(func_def_1339,type,
top_top_set_rat: set_rat ).
thf(func_def_1340,type,
top_top_set_char: set_char ).
thf(func_def_1341,type,
top_to6661820994512907621at_nat: set_Sum_sum_nat_nat ).
thf(func_def_1342,type,
eval_Product_unit: pred_Product_unit > product_unit > $o ).
thf(func_def_1343,type,
single_Product_unit: product_unit > pred_Product_unit ).
thf(func_def_1344,type,
product_Pair_o_o: $o > $o > product_prod_o_o ).
thf(func_def_1345,type,
product_Pair_o_int: $o > int > product_prod_o_int ).
thf(func_def_1346,type,
product_Pair_o_nat: $o > nat > product_prod_o_nat ).
thf(func_def_1347,type,
produc3901946521647900940t_unit: $o > product_unit > produc3788275437394581276t_unit ).
thf(func_def_1348,type,
produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).
thf(func_def_1349,type,
produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_1350,type,
produc8256076736985659095t_unit: heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > produc8126358835630522215t_unit ).
thf(func_def_1351,type,
produc2564672488694626579_ref_a: heap_e7401611519738050253t_unit > ref_a > produc1799199577659733785_ref_a ).
thf(func_def_1352,type,
produc6544324848051098391t_unit: ref_a > heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ).
thf(func_def_1353,type,
produc1340070678782110931_ref_a: ref_a > ref_a > produc5288414631154139675_ref_a ).
thf(func_def_1354,type,
product_Pair_int_o: int > $o > product_prod_int_o ).
thf(func_def_1355,type,
product_Pair_int_int: int > int > product_prod_int_int ).
thf(func_def_1356,type,
product_Pair_int_nat: int > nat > product_prod_int_nat ).
thf(func_def_1357,type,
produc550872421827702152t_unit: int > product_unit > produc6865911496949736918t_unit ).
thf(func_def_1358,type,
product_Pair_int_rat: int > rat > product_prod_int_rat ).
thf(func_def_1359,type,
product_Pair_nat_o: nat > $o > product_prod_nat_o ).
thf(func_def_1360,type,
product_Pair_nat_int: nat > int > product_prod_nat_int ).
thf(func_def_1361,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_1362,type,
product_Pair_nat_num: nat > num > product_prod_nat_num ).
thf(func_def_1363,type,
produc3434450474625521892t_unit: nat > product_unit > produc526117512892780850t_unit ).
thf(func_def_1364,type,
product_Pair_nat_rat: nat > rat > product_prod_nat_rat ).
thf(func_def_1365,type,
product_Pair_num_nat: num > nat > product_prod_num_nat ).
thf(func_def_1366,type,
product_Pair_num_num: num > num > product_prod_num_num ).
thf(func_def_1367,type,
produc5069803637994805237atural: pred_Product_unit > produc7822875418678951345atural > produc4675096598859438275atural ).
thf(func_def_1368,type,
produc3646306378393792727nt_int: product_prod_int_int > product_prod_int_int > produc1219242969750017639nt_int ).
thf(func_def_1369,type,
produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).
thf(func_def_1370,type,
produc4662710985925991255at_nat: produc859450856879609959at_nat > produc859450856879609959at_nat > produc349518998152878311at_nat ).
thf(func_def_1371,type,
produc2335810615602371415at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat > produc1906917888121415911at_nat ).
thf(func_def_1372,type,
produc8487917018914037602unit_o: product_unit > $o > produc7485711547916492274unit_o ).
thf(func_def_1373,type,
produc4803288329813530246it_nat: product_unit > nat > produc600557818389255820it_nat ).
thf(func_def_1374,type,
produc5692694829384537815t_unit: product_unit > product_unit > produc8459935480633519975t_unit ).
thf(func_def_1375,type,
produc4168158269727034510it_rat: product_unit > rat > produc6315701296850634900it_rat ).
thf(func_def_1376,type,
product_Pair_rat_int: rat > int > product_prod_rat_int ).
thf(func_def_1377,type,
product_Pair_rat_nat: rat > nat > product_prod_rat_nat ).
thf(func_def_1378,type,
product_Pair_rat_rat: rat > rat > product_prod_rat_rat ).
thf(func_def_1379,type,
produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ).
thf(func_def_1380,type,
produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ).
thf(func_def_1381,type,
product_Sigma_o_o: set_o > ( $o > set_o ) > set_Product_prod_o_o ).
thf(func_def_1382,type,
product_Sigma_o_int: set_o > ( $o > set_int ) > set_Pr8834758594704517033_o_int ).
thf(func_def_1383,type,
product_Sigma_o_nat: set_o > ( $o > set_nat ) > set_Pr2101469702781467981_o_nat ).
thf(func_def_1384,type,
produc411009820408249917t_unit: set_o > ( $o > set_Product_unit ) > set_Pr6671815714118170108t_unit ).
thf(func_def_1385,type,
produc5882431272649516420nteger: set_Code_integer > ( code_integer > set_Code_integer ) > set_Pr4811707699266497531nteger ).
thf(func_def_1386,type,
produc3946373962484743846t_unit: set_ref_a > ( ref_a > set_he8644174446132254637t_unit ) > set_Pr1133966238863718811t_unit ).
thf(func_def_1387,type,
product_Sigma_int_o: set_int > ( int > set_o ) > set_Pr903927857289325719_int_o ).
thf(func_def_1388,type,
produc1453890548195736866nt_int: set_int > ( int > set_int ) > set_Pr958786334691620121nt_int ).
thf(func_def_1389,type,
produc1456381018704787142nt_nat: set_int > ( int > set_nat ) > set_Pr3448869479623346877nt_nat ).
thf(func_def_1390,type,
produc2622961094310184599t_unit: set_int > ( int > set_Product_unit ) > set_Pr5889264611543340172t_unit ).
thf(func_def_1391,type,
produc821250958618291406nt_rat: set_int > ( int > set_rat ) > set_Pr6292255179000445125nt_rat ).
thf(func_def_1392,type,
product_Sigma_nat_o: set_nat > ( nat > set_o ) > set_Pr3149072824959771635_nat_o ).
thf(func_def_1393,type,
produc454536836294682310at_int: set_nat > ( nat > set_int ) > set_Pr7995236796853374141at_int ).
thf(func_def_1394,type,
produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).
thf(func_def_1395,type,
produc6237731129814287028at_num: set_nat > ( nat > set_num ) > set_Pr6200539531224447659at_num ).
thf(func_def_1396,type,
produc7854212285064481439nt_int: set_nat > ( nat > set_Pr958786334691620121nt_int ) > set_Pr6123067485828015636nt_int ).
thf(func_def_1397,type,
produc1809337555817847783at_nat: set_nat > ( nat > set_Pr1261947904930325089at_nat ) > set_Pr7717912310451564380at_nat ).
thf(func_def_1398,type,
produc5506539147108004339t_unit: set_nat > ( nat > set_Product_unit ) > set_Pr4334478416066269672t_unit ).
thf(func_def_1399,type,
produc9045269283572012658at_rat: set_nat > ( nat > set_rat ) > set_Pr4105333604307423337at_rat ).
thf(func_def_1400,type,
produc4754187946284079723t_char: set_nat > ( nat > set_char ) > set_Pr2926629348867340898t_char ).
thf(func_def_1401,type,
produc7810729746965977780um_nat: set_num > ( num > set_nat ) > set_Pr3280342998896498603um_nat ).
thf(func_def_1402,type,
produc1007865297704999105nt_nat: set_Pr958786334691620121nt_int > ( product_prod_int_int > set_nat ) > set_Pr2543308735921124078nt_nat ).
thf(func_def_1403,type,
produc245848125267896712nt_int: set_Pr958786334691620121nt_int > ( product_prod_int_int > set_Pr958786334691620121nt_int ) > set_Pr2560585780119916871nt_int ).
thf(func_def_1404,type,
produc3424345432876038864at_nat: set_Pr958786334691620121nt_int > ( product_prod_int_int > set_Pr1261947904930325089at_nat ) > set_Pr4155430604743465615at_nat ).
thf(func_def_1405,type,
produc203973861852599583_nat_o: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_o ) > set_Pr6558897299634722526_nat_o ).
thf(func_def_1406,type,
produc7672662199629908489at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_nat ) > set_Pr2539167527615954998at_nat ).
thf(func_def_1407,type,
produc8806266479013559872nt_int: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_Pr958786334691620121nt_int ) > set_Pr7098892610798258687nt_int ).
thf(func_def_1408,type,
produc2761391749766926216at_nat: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_Pr1261947904930325089at_nat ) > set_Pr8693737435421807431at_nat ).
thf(func_def_1409,type,
produc4441300235185154312at_nat: set_Pr4329608150637261639at_nat > ( produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat ) > set_Pr5564308138774400199at_nat ).
thf(func_def_1410,type,
produc4996980317674386579unit_o: set_Product_unit > ( product_unit > set_o ) > set_Pr5464989305201766866unit_o ).
thf(func_def_1411,type,
produc6875377002296012693it_nat: set_Product_unit > ( product_unit > set_nat ) > set_Pr1763845938948868674it_nat ).
thf(func_def_1412,type,
produc3904733337175673596at_nat: set_Product_unit > ( product_unit > set_Pr1261947904930325089at_nat ) > set_Pr3798168094891919931at_nat ).
thf(func_def_1413,type,
produc6121607364029222536t_unit: set_Product_unit > ( product_unit > set_Product_unit ) > set_Pr5094982260447487303t_unit ).
thf(func_def_1414,type,
produc6240246942209516957it_rat: set_Product_unit > ( product_unit > set_rat ) > set_Pr4607231638325966922it_rat ).
thf(func_def_1415,type,
produc137982192359816398at_int: set_rat > ( rat > set_int ) > set_Pr3594552606344371909at_int ).
thf(func_def_1416,type,
produc140472662868866674at_nat: set_rat > ( rat > set_nat ) > set_Pr6084635751276098665at_nat ).
thf(func_def_1417,type,
produc8728714639637146746at_rat: set_rat > ( rat > set_rat ) > set_Pr8928021450653196913at_rat ).
thf(func_def_1418,type,
produc1427039474575272051t_char: set_rat > ( rat > set_char ) > set_Pr8263365689940771946t_char ).
thf(func_def_1419,type,
produc7726050920695093128at_nat: set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ) > set_Pr4329608150637261639at_nat ).
thf(func_def_1420,type,
produc6258361011560675592at_nat: set_se5479201105039950375at_nat > ( set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat ) > set_Pr7459493094073627847at_nat ).
thf(func_def_1421,type,
produc1836876251250453959ar_int: set_char > ( char > set_int ) > set_Pr8146363407509552702ar_int ).
thf(func_def_1422,type,
produc1839366721759504235ar_nat: set_char > ( char > set_nat ) > set_Pr1413074515586503650ar_nat ).
thf(func_def_1423,type,
produc1204236661673008499ar_rat: set_char > ( char > set_rat ) > set_Pr4256460214963601898ar_rat ).
thf(func_def_1424,type,
produc2936396906406871148r_char: set_char > ( char > set_char ) > set_Pr3309569728657787619r_char ).
thf(func_def_1425,type,
product_Unity: product_unit ).
thf(func_def_1426,type,
produc3195571438000033749nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_1427,type,
produc4508741384315284437t_unit: ( ref_a > ref_a ) > produc7812382424243267045t_unit > produc7812382424243267045t_unit ).
thf(func_def_1428,type,
produc5845103964736263686t_unit: ( ref_a > int ) > produc7812382424243267045t_unit > produc3969062480670737046t_unit ).
thf(func_def_1429,type,
produc6143945040009431475nt_int: ( ref_a > int ) > produc8483956148555600810_a_int > product_prod_int_int ).
thf(func_def_1430,type,
produc6942186945380262242t_unit: ( ref_a > nat ) > produc7812382424243267045t_unit > produc5066145461314735602t_unit ).
thf(func_def_1431,type,
produc5147081798617427195at_nat: ( ref_a > nat ) > produc3438435131210021710_a_nat > product_prod_nat_nat ).
thf(func_def_1432,type,
produc1704413584773205829at_num: ( ref_a > nat ) > produc4146679068158859416_a_num > product_prod_nat_num ).
thf(func_def_1433,type,
produc5323809043756447493t_unit: ( ref_a > set_Pr1261947904930325089at_nat ) > produc7812382424243267045t_unit > produc3629471303718939987t_unit ).
thf(func_def_1434,type,
produc4016808307611786905at_nat: ( ref_a > set_Pr1261947904930325089at_nat ) > produc5561445381605014009at_nat > produc3843707927480180839at_nat ).
thf(func_def_1435,type,
produc5988837738927868575t_unit: ( ref_a > set_Pr4329608150637261639at_nat ) > produc7812382424243267045t_unit > produc2296667697112141421t_unit ).
thf(func_def_1436,type,
produc2316621926130398489at_nat: ( ref_a > set_Pr4329608150637261639at_nat ) > produc4041253808165279839at_nat > produc1319942482725812455at_nat ).
thf(func_def_1437,type,
produc2355237562570658114nt_int: ( int > int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_1438,type,
produc986720760941809198at_nat: ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_1439,type,
produc6767424583952363640at_num: ( nat > nat ) > product_prod_nat_num > product_prod_nat_num ).
thf(func_def_1440,type,
produc5380969780118646373at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
thf(func_def_1441,type,
produc6529295065807390923at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > produc1319942482725812455at_nat > produc1319942482725812455at_nat ).
thf(func_def_1442,type,
produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_1443,type,
produc3038839249364385243_ref_a: ( heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > produc7812382424243267045t_unit ).
thf(func_def_1444,type,
produc3558794870892339738_ref_a: ( heap_e7401611519738050253t_unit > int ) > produc7812382424243267045t_unit > produc8483956148555600810_a_int ).
thf(func_def_1445,type,
produc6768910348387636265nt_int: ( heap_e7401611519738050253t_unit > int ) > produc3969062480670737046t_unit > product_prod_int_int ).
thf(func_def_1446,type,
produc8366372614399963582_ref_a: ( heap_e7401611519738050253t_unit > nat ) > produc7812382424243267045t_unit > produc3438435131210021710_a_nat ).
thf(func_def_1447,type,
produc5772047106995631985at_nat: ( heap_e7401611519738050253t_unit > nat ) > produc5066145461314735602t_unit > product_prod_nat_nat ).
thf(func_def_1448,type,
produc7633249859560231688_ref_a: ( heap_e7401611519738050253t_unit > num ) > produc7812382424243267045t_unit > produc4146679068158859416_a_num ).
thf(func_def_1449,type,
produc3902377510303101371um_nat: ( heap_e7401611519738050253t_unit > num ) > produc5066145461314735602t_unit > product_prod_nat_num ).
thf(func_def_1450,type,
produc2928627021203296111_ref_a: ( heap_e7401611519738050253t_unit > set_Pr1261947904930325089at_nat ) > produc7812382424243267045t_unit > produc5561445381605014009at_nat ).
thf(func_def_1451,type,
produc8705118745468743695at_nat: ( heap_e7401611519738050253t_unit > set_Pr1261947904930325089at_nat ) > produc3629471303718939987t_unit > produc3843707927480180839at_nat ).
thf(func_def_1452,type,
produc5080965012319039829_ref_a: ( heap_e7401611519738050253t_unit > set_Pr4329608150637261639at_nat ) > produc7812382424243267045t_unit > produc4041253808165279839at_nat ).
thf(func_def_1453,type,
produc5990651871820846223at_nat: ( heap_e7401611519738050253t_unit > set_Pr4329608150637261639at_nat ) > produc2296667697112141421t_unit > produc1319942482725812455at_nat ).
thf(func_def_1454,type,
produc4463282112584876420nt_int: ( int > int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_1455,type,
produc3094765310956027504at_nat: ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_1456,type,
produc1225095714263496890um_nat: ( nat > num ) > product_prod_nat_nat > product_prod_nat_num ).
thf(func_def_1457,type,
produc1035573138926686394at_nat: ( num > nat ) > product_prod_nat_num > product_prod_nat_nat ).
thf(func_def_1458,type,
produc8389275579088931588um_nat: ( num > num ) > product_prod_nat_num > product_prod_nat_num ).
thf(func_def_1459,type,
produc6468969725218530979at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
thf(func_def_1460,type,
produc8057050257526108681at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > produc1319942482725812455at_nat > produc1319942482725812455at_nat ).
thf(func_def_1461,type,
produc175634133007206835_int_o: ( product_prod_int_int > $o ) > int > int > $o ).
thf(func_def_1462,type,
produc1016772743285680337nt_int: ( product_prod_int_int > int ) > int > int > int ).
thf(func_def_1463,type,
produc8249235968001453780nt_int: ( product_prod_int_int > product_prod_int_int ) > int > int > product_prod_int_int ).
thf(func_def_1464,type,
produc3704529784387675049_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > nat > nat > product_prod_nat_nat > $o ).
thf(func_def_1465,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_1466,type,
produc1310100445399344235_nat_o: ( product_prod_nat_nat > $o ) > nat > nat > $o ).
thf(func_def_1467,type,
produc156083480235303841_num_o: ( product_prod_nat_num > $o ) > nat > num > $o ).
thf(func_def_1468,type,
produc7820828192191229133_nat_o: ( produc3843707927480180839at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1469,type,
produc447603880154497357_nat_o: ( produc1319942482725812455at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1470,type,
produc8005341501107743676_int_o: ( int > int > $o ) > product_prod_int_int > $o ).
thf(func_def_1471,type,
produc7926200574084438792nt_int: ( int > int > int ) > product_prod_int_int > int ).
thf(func_def_1472,type,
produc297006045350968285nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_1473,type,
produc4780622933104268256_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_1474,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_1475,type,
produc4724772261320961782nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc723880050079548563nteger > produc101387210554329899nteger ).
thf(func_def_1476,type,
produc1928436952130685430_o_o_o: ( $o > $o ) > ( $o > $o ) > product_prod_o_o > product_prod_o_o ).
thf(func_def_1477,type,
produc8070579729948654068nt_nat: ( $o > $o ) > ( int > nat ) > product_prod_o_int > product_prod_o_nat ).
thf(func_def_1478,type,
produc7071226018047599512at_nat: ( $o > $o ) > ( nat > nat ) > product_prod_o_nat > product_prod_o_nat ).
thf(func_def_1479,type,
produc3628557804203378146at_num: ( $o > $o ) > ( nat > num ) > product_prod_o_nat > product_prod_o_num ).
thf(func_def_1480,type,
produc9141321880750005618at_o_o: ( $o > nat ) > ( $o > $o ) > product_prod_o_o > product_prod_nat_o ).
thf(func_def_1481,type,
produc6587185857518356756at_nat: ( $o > nat ) > ( nat > nat ) > product_prod_o_nat > product_prod_nat_nat ).
thf(func_def_1482,type,
produc4527993685489015646at_nat: ( $o > num ) > ( nat > nat ) > product_prod_o_nat > product_prod_num_nat ).
thf(func_def_1483,type,
produc1802105962441033582nteger: ( code_integer > code_integer ) > ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_1484,type,
produc3456481717235892722t_unit: ( ref_a > ref_a ) > ( heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > produc7812382424243267045t_unit ).
thf(func_def_1485,type,
produc6036585564866528938nt_int: ( int > int ) > ( int > int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_1486,type,
produc5039722323474524658at_nat: ( int > int ) > ( nat > nat ) > product_prod_int_nat > product_prod_int_nat ).
thf(func_def_1487,type,
produc4404592263388028922at_rat: ( int > int ) > ( nat > rat ) > product_prod_int_nat > product_prod_int_rat ).
thf(func_def_1488,type,
produc5664932004629684302nt_int: ( int > nat ) > ( int > int ) > product_prod_int_int > product_prod_nat_int ).
thf(func_def_1489,type,
produc5667422475138734578nt_nat: ( int > nat ) > ( int > nat ) > product_prod_int_int > product_prod_nat_nat ).
thf(func_def_1490,type,
produc2224754261294513212nt_num: ( int > nat ) > ( int > num ) > product_prod_int_int > product_prod_nat_num ).
thf(func_def_1491,type,
produc8298419091753553490_nat_o: ( int > nat ) > ( nat > $o ) > product_prod_int_nat > product_prod_nat_o ).
thf(func_def_1492,type,
produc4665578292728629746at_int: ( int > nat ) > ( nat > int ) > product_prod_int_nat > product_prod_nat_int ).
thf(func_def_1493,type,
produc4668068763237680022at_nat: ( int > nat ) > ( nat > nat ) > product_prod_int_nat > product_prod_nat_nat ).
thf(func_def_1494,type,
produc1225400549393458656at_num: ( int > nat ) > ( nat > num ) > product_prod_int_nat > product_prod_nat_num ).
thf(func_def_1495,type,
produc4032938703151184286at_rat: ( int > nat ) > ( nat > rat ) > product_prod_int_nat > product_prod_nat_rat ).
thf(func_def_1496,type,
produc3608230303109393468nt_nat: ( int > num ) > ( int > nat ) > product_prod_int_int > product_prod_num_nat ).
thf(func_def_1497,type,
produc165562089265172102nt_num: ( int > num ) > ( int > num ) > product_prod_int_int > product_prod_num_num ).
thf(func_def_1498,type,
produc9074608839065728392_nat_o: ( int > num ) > ( nat > $o ) > product_prod_int_nat > product_prod_num_o ).
thf(func_def_1499,type,
produc2608876591208338912at_nat: ( int > num ) > ( nat > nat ) > product_prod_int_nat > product_prod_num_nat ).
thf(func_def_1500,type,
produc8248099538878400170nt_int: ( nat > $o ) > ( int > int ) > product_prod_nat_int > product_prod_o_int ).
thf(func_def_1501,type,
produc8250590009387450446nt_nat: ( nat > $o ) > ( int > nat ) > product_prod_nat_int > product_prod_o_nat ).
thf(func_def_1502,type,
produc4807921795543229080nt_num: ( nat > $o ) > ( int > num ) > product_prod_nat_int > product_prod_o_num ).
thf(func_def_1503,type,
produc6957950696844810486_nat_o: ( nat > $o ) > ( nat > $o ) > product_prod_nat_nat > product_prod_o_o ).
thf(func_def_1504,type,
produc7251236297486395890at_nat: ( nat > $o ) > ( nat > nat ) > product_prod_nat_nat > product_prod_o_nat ).
thf(func_def_1505,type,
produc8346403496959479886nt_int: ( nat > int ) > ( int > int ) > product_prod_nat_int > product_prod_int_int ).
thf(func_def_1506,type,
produc8348893967468530162nt_nat: ( nat > int ) > ( int > nat ) > product_prod_nat_int > product_prod_int_nat ).
thf(func_def_1507,type,
produc7347049785058425330at_int: ( nat > int ) > ( nat > int ) > product_prod_nat_nat > product_prod_int_int ).
thf(func_def_1508,type,
produc5477380188365894716um_int: ( nat > int ) > ( num > int ) > product_prod_nat_num > product_prod_int_int ).
thf(func_def_1509,type,
produc2001155298098703512at_o_o: ( nat > nat ) > ( $o > $o ) > product_prod_nat_o > product_prod_nat_o ).
thf(func_def_1510,type,
produc7974749936722635250nt_int: ( nat > nat ) > ( int > int ) > product_prod_nat_int > product_prod_nat_int ).
thf(func_def_1511,type,
produc7977240407231685526nt_nat: ( nat > nat ) > ( int > nat ) > product_prod_nat_int > product_prod_nat_nat ).
thf(func_def_1512,type,
produc4534572193387464160nt_num: ( nat > nat ) > ( int > num ) > product_prod_nat_int > product_prod_nat_num ).
thf(func_def_1513,type,
produc4787215299218314158_nat_o: ( nat > nat ) > ( nat > $o ) > product_prod_nat_nat > product_prod_nat_o ).
thf(func_def_1514,type,
produc6977886695330630970at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_1515,type,
produc3535218481486409604at_num: ( nat > nat ) > ( nat > num ) > product_prod_nat_nat > product_prod_nat_num ).
thf(func_def_1516,type,
produc5108217098638100356um_nat: ( nat > nat ) > ( num > nat ) > product_prod_nat_num > product_prod_nat_nat ).
thf(func_def_1517,type,
produc1665548884793878990um_num: ( nat > nat ) > ( num > num ) > product_prod_nat_num > product_prod_nat_num ).
thf(func_def_1518,type,
produc3264868786340801506um_o_o: ( nat > num ) > ( $o > $o ) > product_prod_nat_o > product_prod_num_o ).
thf(func_def_1519,type,
produc5918048235202344416nt_nat: ( nat > num ) > ( int > nat ) > product_prod_nat_int > product_prod_num_nat ).
thf(func_def_1520,type,
produc4918694523301289860at_nat: ( nat > num ) > ( nat > nat ) > product_prod_nat_nat > product_prod_num_nat ).
thf(func_def_1521,type,
produc1476026309457068494at_num: ( nat > num ) > ( nat > num ) > product_prod_nat_nat > product_prod_num_num ).
thf(func_def_1522,type,
produc8746822746284154874nt_int: ( nat > rat ) > ( int > int ) > product_prod_nat_int > product_prod_rat_int ).
thf(func_def_1523,type,
produc8749313216793205150nt_nat: ( nat > rat ) > ( int > nat ) > product_prod_nat_int > product_prod_rat_nat ).
thf(func_def_1524,type,
produc170006858110003436at_nat: ( nat > set_Pr1261947904930325089at_nat ) > ( num > set_Pr1261947904930325089at_nat ) > product_prod_nat_num > produc3843707927480180839at_nat ).
thf(func_def_1525,type,
produc8319293927732033832at_nat: ( num > $o ) > ( nat > nat ) > product_prod_num_nat > product_prod_o_nat ).
thf(func_def_1526,type,
produc4208724500416182148at_nat: ( num > nat ) > ( nat > nat ) > product_prod_num_nat > product_prod_nat_nat ).
thf(func_def_1527,type,
produc2149532328386841038at_nat: ( num > num ) > ( nat > nat ) > product_prod_num_nat > product_prod_num_nat ).
thf(func_def_1528,type,
produc3932168101365401472at_num: ( set_Pr1261947904930325089at_nat > nat ) > ( set_Pr1261947904930325089at_nat > num ) > produc3843707927480180839at_nat > product_prod_nat_num ).
thf(func_def_1529,type,
produc1547070076189439812at_rat: ( char > char ) > ( nat > rat ) > produc3922234789054302210ar_nat > produc414006230660905482ar_rat ).
thf(func_def_1530,type,
produc8759894717825771837t_char: ( char > char ) > ( nat > char ) > produc3922234789054302210ar_nat > produc143505574896075907r_char ).
thf(func_def_1531,type,
produc1863155021832019360at_int: ( char > char ) > ( rat > int ) > produc414006230660905482ar_rat > produc8967755806399881310ar_int ).
thf(func_def_1532,type,
produc1865645492341069636at_nat: ( char > char ) > ( rat > nat ) > produc414006230660905482ar_rat > produc3922234789054302210ar_nat ).
thf(func_def_1533,type,
produc1230515432254573900at_rat: ( char > char ) > ( rat > rat ) > produc414006230660905482ar_rat > produc414006230660905482ar_rat ).
thf(func_def_1534,type,
produc5432746246116964165t_char: ( char > char ) > ( rat > char ) > produc414006230660905482ar_rat > produc143505574896075907r_char ).
thf(func_def_1535,type,
produc5842583022792146073ar_int: ( char > char ) > ( char > int ) > produc143505574896075907r_char > produc8967755806399881310ar_int ).
thf(func_def_1536,type,
produc5845073493301196349ar_nat: ( char > char ) > ( char > nat ) > produc143505574896075907r_char > produc3922234789054302210ar_nat ).
thf(func_def_1537,type,
produc5209943433214700613ar_rat: ( char > char ) > ( char > rat ) > produc143505574896075907r_char > produc414006230660905482ar_rat ).
thf(func_def_1538,type,
produc7830753070125841726r_char: ( char > char ) > ( char > char ) > produc143505574896075907r_char > produc143505574896075907r_char ).
thf(func_def_1539,type,
produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).
thf(func_def_1540,type,
produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).
thf(func_def_1541,type,
produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).
thf(func_def_1542,type,
produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).
thf(func_def_1543,type,
produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_1544,type,
produc4281629032016041417nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc3346328345660746739nteger > produc8923325533196201883nteger ).
thf(func_def_1545,type,
produc4426278547552487717t_unit: ( heap_e7401611519738050253t_unit > ref_a > produc7812382424243267045t_unit ) > produc1799199577659733785_ref_a > produc7812382424243267045t_unit ).
thf(func_def_1546,type,
produc4924168586796184916unit_o: ( ref_a > heap_e7401611519738050253t_unit > $o ) > produc7812382424243267045t_unit > $o ).
thf(func_def_1547,type,
produc2552614499379209865t_unit: ( ref_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ) > produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_1548,type,
produc4846201513286513633_ref_a: ( ref_a > heap_e7401611519738050253t_unit > ref_a ) > produc7812382424243267045t_unit > ref_a ).
thf(func_def_1549,type,
produc2058451029528183389_ref_a: ( ref_a > heap_e7401611519738050253t_unit > produc1799199577659733785_ref_a ) > produc7812382424243267045t_unit > produc1799199577659733785_ref_a ).
thf(func_def_1550,type,
produc540600059291021473eger_o: ( int > code_integer > $o ) > produc2963269191615333738nteger > $o ).
thf(func_def_1551,type,
produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).
thf(func_def_1552,type,
produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).
thf(func_def_1553,type,
produc8213879946458358998nt_nat: ( int > int > nat ) > product_prod_int_int > nat ).
thf(func_def_1554,type,
produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_1555,type,
produc8423408460612925143nt_nat: ( int > int > product_prod_int_nat ) > product_prod_int_int > product_prod_int_nat ).
thf(func_def_1556,type,
produc3246203729202673879at_int: ( int > int > product_prod_nat_int ) > product_prod_int_int > product_prod_nat_int ).
thf(func_def_1557,type,
produc4257766111578684402_set_o: ( int > int > set_o ) > product_prod_int_int > set_o ).
thf(func_def_1558,type,
produc73460835934605544et_int: ( int > int > set_int ) > product_prod_int_int > set_int ).
thf(func_def_1559,type,
produc4251311855443802252et_nat: ( int > int > set_nat ) > product_prod_int_int > set_nat ).
thf(func_def_1560,type,
produc5385566376148791347nt_nat: ( int > nat > product_prod_int_nat ) > product_prod_int_nat > product_prod_int_nat ).
thf(func_def_1561,type,
produc1877337817755394619nt_rat: ( int > nat > product_prod_int_rat ) > product_prod_int_nat > product_prod_int_rat ).
thf(func_def_1562,type,
produc208361644738540083at_int: ( int > nat > product_prod_nat_int ) > product_prod_int_nat > product_prod_nat_int ).
thf(func_def_1563,type,
produc877984105854340063at_rat: ( int > nat > product_prod_nat_rat ) > product_prod_int_nat > product_prod_nat_rat ).
thf(func_def_1564,type,
produc6663371796859813939nt_nat: ( nat > int > product_prod_int_nat ) > product_prod_nat_int > product_prod_int_nat ).
thf(func_def_1565,type,
produc1486167065449562675at_int: ( nat > int > product_prod_nat_int ) > product_prod_nat_int > product_prod_nat_int ).
thf(func_def_1566,type,
produc1169612421514696763at_int: ( nat > int > product_prod_rat_int ) > product_prod_nat_int > product_prod_rat_int ).
thf(func_def_1567,type,
produc5347463441023893471at_nat: ( nat > int > product_prod_rat_nat ) > product_prod_nat_int > product_prod_rat_nat ).
thf(func_def_1568,type,
produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_1569,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_1570,type,
produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_1571,type,
produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).
thf(func_def_1572,type,
produc2761476792215241774st_nat: ( nat > nat > list_nat ) > product_prod_nat_nat > list_nat ).
thf(func_def_1573,type,
produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_1574,type,
produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_1575,type,
produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).
thf(func_def_1576,type,
produc59986286002894506_set_o: ( nat > nat > set_o ) > product_prod_nat_nat > set_o ).
thf(func_def_1577,type,
produc2011625207790711856et_int: ( nat > nat > set_int ) > product_prod_nat_nat > set_int ).
thf(func_def_1578,type,
produc6189476227299908564et_nat: ( nat > nat > set_nat ) > product_prod_nat_nat > set_nat ).
thf(func_def_1579,type,
produc8197505143624133779at_nat: ( nat > nat > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1580,type,
produc4927758841916487424_num_o: ( nat > num > $o ) > product_prod_nat_num > $o ).
thf(func_def_1581,type,
produc4970712607118878916um_int: ( nat > num > int ) > product_prod_nat_num > int ).
thf(func_def_1582,type,
produc4973203077627929192um_nat: ( nat > num > nat ) > product_prod_nat_num > nat ).
thf(func_def_1583,type,
produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).
thf(func_def_1584,type,
produc8564434177180591209at_nat: ( nat > num > product_prod_nat_nat ) > product_prod_nat_num > product_prod_nat_nat ).
thf(func_def_1585,type,
produc49306077274653107at_num: ( nat > num > product_prod_nat_num ) > product_prod_nat_num > product_prod_nat_num ).
thf(func_def_1586,type,
produc836176033315069408_set_o: ( nat > num > set_o ) > product_prod_nat_num > set_o ).
thf(func_def_1587,type,
produc9175805072616146554et_int: ( nat > num > set_int ) > product_prod_nat_num > set_int ).
thf(func_def_1588,type,
produc4130284055270567454et_nat: ( nat > num > set_nat ) > product_prod_nat_num > set_nat ).
thf(func_def_1589,type,
produc859037500352796105at_nat: ( nat > num > set_Pr1261947904930325089at_nat ) > product_prod_nat_num > set_Pr1261947904930325089at_nat ).
thf(func_def_1590,type,
produc4306188689235752475_int_o: ( nat > product_prod_int_int > $o ) > produc6945250483304103390nt_int > $o ).
thf(func_def_1591,type,
produc5864757623865647827_nat_o: ( nat > product_prod_nat_nat > $o ) > produc7248412053542808358at_nat > $o ).
thf(func_def_1592,type,
produc6857965554392702720_nat_o: ( num > nat > $o ) > product_prod_num_nat > $o ).
thf(func_def_1593,type,
produc5219324331026901427at_num: ( num > nat > product_prod_nat_num ) > product_prod_num_nat > product_prod_nat_num ).
thf(func_def_1594,type,
produc5703948589228662326_num_o: ( num > num > $o ) > product_prod_num_num > $o ).
thf(func_def_1595,type,
produc6665183775751917029atural: ( pred_Product_unit > produc7822875418678951345atural > produc4675096598859438275atural ) > produc4675096598859438275atural > produc4675096598859438275atural ).
thf(func_def_1596,type,
produc5441891513209881465_nat_o: ( product_prod_int_int > nat > $o ) > produc1709102135585200056nt_nat > $o ).
thf(func_def_1597,type,
produc1676490119946744748_int_o: ( product_prod_int_int > product_prod_int_int > $o ) > produc1219242969750017639nt_int > $o ).
thf(func_def_1598,type,
produc3235059054576640100_nat_o: ( product_prod_int_int > product_prod_nat_nat > $o ) > produc1522404539988722607at_nat > $o ).
thf(func_def_1599,type,
produc6937227050501860053_int_o: ( product_prod_nat_nat > int > $o ) > produc4196048018000912732at_int > $o ).
thf(func_def_1600,type,
produc8758269395934548017_nat_o: ( product_prod_nat_nat > nat > $o ) > produc8373899037510109440at_nat > $o ).
thf(func_def_1601,type,
produc5031841752791441652_int_o: ( product_prod_nat_nat > product_prod_int_int > $o ) > produc556289286640904991nt_int > $o ).
thf(func_def_1602,type,
produc6590410687421337004_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc859450856879609959at_nat > $o ).
thf(func_def_1603,type,
produc410239310623530412_nat_o: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > $o ).
thf(func_def_1604,type,
produc7548845685434208379at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
thf(func_def_1605,type,
produc9020218426428501292_nat_o: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > produc1319942482725812455at_nat > $o ).
thf(func_def_1606,type,
produc5456455677105495163at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ) > produc1319942482725812455at_nat > produc1319942482725812455at_nat ).
thf(func_def_1607,type,
product_fst_o_o: product_prod_o_o > $o ).
thf(func_def_1608,type,
product_fst_o_int: product_prod_o_int > $o ).
thf(func_def_1609,type,
product_fst_o_nat: product_prod_o_nat > $o ).
thf(func_def_1610,type,
produc5219655352205527288t_unit: produc3788275437394581276t_unit > $o ).
thf(func_def_1611,type,
produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).
thf(func_def_1612,type,
produc1861665112190112313nteger: produc3346328345660746739nteger > code_integer ).
thf(func_def_1613,type,
produc2762368996035445955t_unit: produc8126358835630522215t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_1614,type,
produc5717040794327095847_ref_a: produc1799199577659733785_ref_a > heap_e7401611519738050253t_unit ).
thf(func_def_1615,type,
produc473321116828791851t_unit: produc7812382424243267045t_unit > ref_a ).
thf(func_def_1616,type,
produc6942380573175061695_ref_a: produc5288414631154139675_ref_a > ref_a ).
thf(func_def_1617,type,
product_fst_int_o: product_prod_int_o > int ).
thf(func_def_1618,type,
produc45500017171379470nteger: produc2963269191615333738nteger > int ).
thf(func_def_1619,type,
product_fst_int_int: product_prod_int_int > int ).
thf(func_def_1620,type,
product_fst_int_nat: product_prod_int_nat > int ).
thf(func_def_1621,type,
produc917050878549155996t_unit: produc6865911496949736918t_unit > int ).
thf(func_def_1622,type,
product_fst_nat_o: product_prod_nat_o > nat ).
thf(func_def_1623,type,
product_fst_nat_int: product_prod_nat_int > nat ).
thf(func_def_1624,type,
product_fst_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_1625,type,
product_fst_nat_num: product_prod_nat_num > nat ).
thf(func_def_1626,type,
produc3800628931346975736t_unit: produc526117512892780850t_unit > nat ).
thf(func_def_1627,type,
product_fst_num_nat: product_prod_num_nat > num ).
thf(func_def_1628,type,
product_fst_num_num: product_prod_num_num > num ).
thf(func_def_1629,type,
produc6435950281062462810_nat_o: produc652263959640188542_nat_o > product_prod_nat_nat ).
thf(func_def_1630,type,
produc4619704898428564714at_int: produc4196048018000912732at_int > product_prod_nat_nat ).
thf(func_def_1631,type,
produc3213797794245857475at_nat: produc859450856879609959at_nat > product_prod_nat_nat ).
thf(func_def_1632,type,
produc582253812616888142unit_o: produc7485711547916492274unit_o > product_unit ).
thf(func_def_1633,type,
produc5169466786534984090it_nat: produc600557818389255820it_nat > product_unit ).
thf(func_def_1634,type,
produc6963936691090040003t_unit: produc8459935480633519975t_unit > product_unit ).
thf(func_def_1635,type,
produc6011863565407846595at_nat: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1636,type,
produc4486455499028916547at_nat: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1637,type,
product_snd_o_o: product_prod_o_o > $o ).
thf(func_def_1638,type,
product_snd_o_int: product_prod_o_int > int ).
thf(func_def_1639,type,
product_snd_o_nat: product_prod_o_nat > nat ).
thf(func_def_1640,type,
produc2875488738488844090t_unit: produc3788275437394581276t_unit > product_unit ).
thf(func_def_1641,type,
produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).
thf(func_def_1642,type,
produc7955729907432593271nteger: produc3346328345660746739nteger > produc8923325533196201883nteger ).
thf(func_def_1643,type,
produc1692618790031806469t_unit: produc8126358835630522215t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_1644,type,
produc6369869760173755749_ref_a: produc1799199577659733785_ref_a > ref_a ).
thf(func_def_1645,type,
produc1126150082675451753t_unit: produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_1646,type,
produc8185483580310833921_ref_a: produc5288414631154139675_ref_a > ref_a ).
thf(func_def_1647,type,
product_snd_int_o: product_prod_int_o > $o ).
thf(func_def_1648,type,
produc2153544567185597776nteger: produc2963269191615333738nteger > code_integer ).
thf(func_def_1649,type,
product_snd_int_int: product_prod_int_int > int ).
thf(func_def_1650,type,
product_snd_int_nat: product_prod_int_nat > nat ).
thf(func_def_1651,type,
product_snd_nat_o: product_prod_nat_o > $o ).
thf(func_def_1652,type,
product_snd_nat_int: product_prod_nat_int > int ).
thf(func_def_1653,type,
product_snd_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_1654,type,
product_snd_nat_num: product_prod_nat_num > num ).
thf(func_def_1655,type,
produc8850949007409916470t_unit: produc526117512892780850t_unit > product_unit ).
thf(func_def_1656,type,
product_snd_num_nat: product_prod_num_nat > nat ).
thf(func_def_1657,type,
product_snd_num_num: product_prod_num_num > num ).
thf(func_def_1658,type,
produc668916169454083228_nat_o: produc652263959640188542_nat_o > $o ).
thf(func_def_1659,type,
produc3064508320661873192at_int: produc4196048018000912732at_int > int ).
thf(func_def_1660,type,
produc6408287024330202629at_nat: produc859450856879609959at_nat > product_prod_nat_nat ).
thf(func_def_1661,type,
produc7461459235754980752unit_o: produc7485711547916492274unit_o > $o ).
thf(func_def_1662,type,
produc996414825743149016it_nat: produc600557818389255820it_nat > nat ).
thf(func_def_1663,type,
produc6786084904866402309t_unit: produc8459935480633519975t_unit > product_unit ).
thf(func_def_1664,type,
produc2937545259423399429at_nat: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1665,type,
produc826222791318859909at_nat: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1666,type,
produc6214465446503547763_ref_a: produc1799199577659733785_ref_a > produc7812382424243267045t_unit ).
thf(func_def_1667,type,
produc970745769005243767t_unit: produc7812382424243267045t_unit > produc1799199577659733785_ref_a ).
thf(func_def_1668,type,
product_swap_int_int: product_prod_int_int > product_prod_int_int ).
thf(func_def_1669,type,
product_swap_nat_nat: product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_1670,type,
product_swap_nat_num: product_prod_nat_num > product_prod_num_nat ).
thf(func_def_1671,type,
product_swap_num_nat: product_prod_num_nat > product_prod_nat_num ).
thf(func_def_1672,type,
produc3946833401584108663at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat ).
thf(func_def_1673,type,
produc5396952528824381687at_nat: produc1319942482725812455at_nat > produc1319942482725812455at_nat ).
thf(func_def_1674,type,
produc929334515565554804at_nat: set_nat > set_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1675,type,
produc3241716407206042770at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1676,type,
product_Abs_unit: $o > product_unit ).
thf(func_def_1677,type,
product_Rep_unit: product_unit > $o ).
thf(func_def_1678,type,
random6974930770145893639ompred: ( produc7822875418678951345atural > produc4675096598859438275atural ) > produc7822875418678951345atural > produc4675096598859438275atural ).
thf(func_def_1679,type,
fract: int > int > rat ).
thf(func_def_1680,type,
field_6020823756834552118ts_rat: set_rat ).
thf(func_def_1681,type,
normalize: product_prod_int_int > product_prod_int_int ).
thf(func_def_1682,type,
quotient_of: rat > product_prod_int_int ).
thf(func_def_1683,type,
alloc_a: a > heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ).
thf(func_def_1684,type,
change_ref_a: ( ref_a > ref_a ) > ref_ref_a > heap_Heap_ref_a ).
thf(func_def_1685,type,
change_a: ( a > a ) > ref_a > heap_Heap_a ).
thf(func_def_1686,type,
get_ref_a: heap_e7401611519738050253t_unit > ref_ref_a > ref_a ).
thf(func_def_1687,type,
get_a: heap_e7401611519738050253t_unit > ref_a > a ).
thf(func_def_1688,type,
lookup_ref_a: ref_ref_a > heap_Heap_ref_a ).
thf(func_def_1689,type,
lookup_a: ref_a > heap_Heap_a ).
thf(func_def_1690,type,
noteq_a_a: ref_a > ref_a > $o ).
thf(func_def_1691,type,
present_a: heap_e7401611519738050253t_unit > ref_a > $o ).
thf(func_def_1692,type,
ref_a2: a > heap_Heap_ref_a ).
thf(func_def_1693,type,
ref_a3: a > heap_Heap_ref_a ).
thf(func_def_1694,type,
set_ref_a2: ref_ref_a > ref_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_1695,type,
set_a: ref_a > a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_1696,type,
update_a: ref_a > a > heap_H6156071679106078628t_unit ).
thf(func_def_1697,type,
field_o: set_Product_prod_o_o > set_o ).
thf(func_def_1698,type,
field_int: set_Pr958786334691620121nt_int > set_int ).
thf(func_def_1699,type,
field_nat: set_Pr1261947904930325089at_nat > set_nat ).
thf(func_def_1700,type,
field_4706345496283612622at_nat: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1701,type,
field_3044959742847878580at_nat: set_Pr553994874890374343at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_1702,type,
field_2862844103579723188at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1703,type,
field_Product_unit: set_Pr5094982260447487303t_unit > set_Product_unit ).
thf(func_def_1704,type,
field_3145993188331922222at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat ).
thf(func_def_1705,type,
field_1428494348145443988at_nat: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat ).
thf(func_def_1706,type,
id_o2: set_Product_prod_o_o ).
thf(func_def_1707,type,
id_int2: set_Pr958786334691620121nt_int ).
thf(func_def_1708,type,
id_nat2: set_Pr1261947904930325089at_nat ).
thf(func_def_1709,type,
id_Pro2258643101195443293at_nat: set_Pr8693737435421807431at_nat ).
thf(func_def_1710,type,
id_Pro5428700290092274115at_nat: set_Pr5564308138774400199at_nat ).
thf(func_def_1711,type,
id_set1796276052702428605at_nat: set_Pr4329608150637261639at_nat ).
thf(func_def_1712,type,
id_set4888139568991089827at_nat: set_Pr7459493094073627847at_nat ).
thf(func_def_1713,type,
id_on_o: set_o > set_Product_prod_o_o ).
thf(func_def_1714,type,
id_on_int: set_int > set_Pr958786334691620121nt_int ).
thf(func_def_1715,type,
id_on_nat: set_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1716,type,
id_on_num: set_num > set_Pr8218934625190621173um_num ).
thf(func_def_1717,type,
id_on_8598933527810153430nt_int: set_Pr958786334691620121nt_int > set_Pr2560585780119916871nt_int ).
thf(func_def_1718,type,
id_on_2554058798563519774at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_1719,type,
id_on_7869290023980668164at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat ).
thf(func_def_1720,type,
id_on_6713504163309144702at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1721,type,
id_on_3275838214495744996at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat ).
thf(func_def_1722,type,
conver1062113817206378758nt_int: ( ( int > product_prod_int_int ) > ( int > int ) > $o ) > ( int > int ) > ( int > product_prod_int_int ) > $o ).
thf(func_def_1723,type,
conver1572571282669976050nt_nat: ( ( int > product_prod_nat_nat ) > ( int > nat ) > $o ) > ( int > nat ) > ( int > product_prod_nat_nat ) > $o ).
thf(func_def_1724,type,
conver5699786650113435344nt_num: ( ( int > product_prod_num_num ) > ( int > num ) > $o ) > ( int > num ) > ( int > product_prod_num_num ) > $o ).
thf(func_def_1725,type,
conver6066198818478722162at_nat: ( ( list_nat > product_prod_nat_nat ) > ( list_nat > nat ) > $o ) > ( list_nat > nat ) > ( list_nat > product_prod_nat_nat ) > $o ).
thf(func_def_1726,type,
conver2987682522074450438at_int: ( ( nat > product_prod_int_int ) > ( nat > int ) > $o ) > ( nat > int ) > ( nat > product_prod_int_int ) > $o ).
thf(func_def_1727,type,
conver3498139987538047730at_nat: ( ( nat > product_prod_nat_nat ) > ( nat > nat ) > $o ) > ( nat > nat ) > ( nat > product_prod_nat_nat ) > $o ).
thf(func_def_1728,type,
conver3229387634306789365nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > $o ) > ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
thf(func_def_1729,type,
conver6967689361887734790at_int: ( ( rat > product_prod_int_int ) > ( rat > int ) > $o ) > ( rat > int ) > ( rat > product_prod_int_int ) > $o ).
thf(func_def_1730,type,
conver7478146827351332082at_nat: ( ( rat > product_prod_nat_nat ) > ( rat > nat ) > $o ) > ( rat > nat ) > ( rat > product_prod_nat_nat ) > $o ).
thf(func_def_1731,type,
conver1155128050257070662ar_int: ( ( char > product_prod_int_int ) > ( char > int ) > $o ) > ( char > int ) > ( char > product_prod_int_int ) > $o ).
thf(func_def_1732,type,
conver5210974729819302706ar_nat: ( ( char > product_prod_nat_nat ) > ( char > nat ) > $o ) > ( char > nat ) > ( char > product_prod_nat_nat ) > $o ).
thf(func_def_1733,type,
conversep_o_o: ( $o > $o > $o ) > $o > $o > $o ).
thf(func_def_1734,type,
conver1462408618118490240er_int: ( code_integer > int > $o ) > int > code_integer > $o ).
thf(func_def_1735,type,
conver2101108097643427968nteger: ( int > code_integer > $o ) > code_integer > int > $o ).
thf(func_def_1736,type,
conversep_int_int: ( int > int > $o ) > int > int > $o ).
thf(func_def_1737,type,
conversep_int_nat: ( int > nat > $o ) > nat > int > $o ).
thf(func_def_1738,type,
conver1866313717161370910at_nat: ( int > product_prod_nat_nat > $o ) > product_prod_nat_nat > int > $o ).
thf(func_def_1739,type,
conver909888920752868663st_nat: ( list_nat > list_nat > $o ) > list_nat > list_nat > $o ).
thf(func_def_1740,type,
conversep_nat_o: ( nat > $o > $o ) > $o > nat > $o ).
thf(func_def_1741,type,
conversep_nat_int: ( nat > int > $o ) > int > nat > $o ).
thf(func_def_1742,type,
conversep_nat_nat: ( nat > nat > $o ) > nat > nat > $o ).
thf(func_def_1743,type,
conversep_nat_num: ( nat > num > $o ) > num > nat > $o ).
thf(func_def_1744,type,
conversep_nat_rat: ( nat > rat > $o ) > rat > nat > $o ).
thf(func_def_1745,type,
conversep_nat_char: ( nat > char > $o ) > char > nat > $o ).
thf(func_def_1746,type,
conversep_num_nat: ( num > nat > $o ) > nat > num > $o ).
thf(func_def_1747,type,
conversep_num_num: ( num > num > $o ) > num > num > $o ).
thf(func_def_1748,type,
conver4368408235330554745_ref_a: ( produc7812382424243267045t_unit > ref_a > $o ) > ref_a > produc7812382424243267045t_unit > $o ).
thf(func_def_1749,type,
conver7247880940930113968nt_int: ( product_prod_int_int > int > $o ) > int > product_prod_int_int > $o ).
thf(func_def_1750,type,
conver4689305806000247544at_int: ( product_prod_nat_nat > int > $o ) > int > product_prod_nat_nat > $o ).
thf(func_def_1751,type,
conver4691796276509297820at_nat: ( product_prod_nat_nat > nat > $o ) > nat > product_prod_nat_nat > $o ).
thf(func_def_1752,type,
conver6965824823119931701at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_1753,type,
conversep_rat_int: ( rat > int > $o ) > int > rat > $o ).
thf(func_def_1754,type,
conversep_rat_nat: ( rat > nat > $o ) > nat > rat > $o ).
thf(func_def_1755,type,
conversep_rat_rat: ( rat > rat > $o ) > rat > rat > $o ).
thf(func_def_1756,type,
conversep_rat_char: ( rat > char > $o ) > char > rat > $o ).
thf(func_def_1757,type,
conver5243090411617913141at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1758,type,
conver9095369822871743413at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1759,type,
conversep_char_int: ( char > int > $o ) > int > char > $o ).
thf(func_def_1760,type,
conversep_char_nat: ( char > nat > $o ) > nat > char > $o ).
thf(func_def_1761,type,
conversep_char_rat: ( char > rat > $o ) > rat > char > $o ).
thf(func_def_1762,type,
conversep_char_char: ( char > char > $o ) > char > char > $o ).
thf(func_def_1763,type,
inv_image_int_int: set_Pr958786334691620121nt_int > ( int > int ) > set_Pr958786334691620121nt_int ).
thf(func_def_1764,type,
inv_image_int_nat: set_Pr958786334691620121nt_int > ( nat > int ) > set_Pr1261947904930325089at_nat ).
thf(func_def_1765,type,
inv_im8510909985083594081at_nat: set_Pr958786334691620121nt_int > ( set_Pr1261947904930325089at_nat > int ) > set_Pr4329608150637261639at_nat ).
thf(func_def_1766,type,
inv_image_nat_int: set_Pr1261947904930325089at_nat > ( int > nat ) > set_Pr958786334691620121nt_int ).
thf(func_def_1767,type,
inv_image_nat_nat: set_Pr1261947904930325089at_nat > ( nat > nat ) > set_Pr1261947904930325089at_nat ).
thf(func_def_1768,type,
inv_im6750873321330482877at_nat: set_Pr1261947904930325089at_nat > ( set_Pr1261947904930325089at_nat > nat ) > set_Pr4329608150637261639at_nat ).
thf(func_def_1769,type,
inv_im2354225701593503139at_nat: set_Pr1261947904930325089at_nat > ( set_Pr4329608150637261639at_nat > nat ) > set_Pr7459493094073627847at_nat ).
thf(func_def_1770,type,
inv_im4434751243573137211at_int: set_Pr4329608150637261639at_nat > ( int > set_Pr1261947904930325089at_nat ) > set_Pr958786334691620121nt_int ).
thf(func_def_1771,type,
inv_im4437241714082187487at_nat: set_Pr4329608150637261639at_nat > ( nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).
thf(func_def_1772,type,
inv_im7023619800666061458at_nat: set_Pr4329608150637261639at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr4329608150637261639at_nat ).
thf(func_def_1773,type,
inv_im2900519150384625825at_int: set_Pr7459493094073627847at_nat > ( int > set_Pr4329608150637261639at_nat ) > set_Pr958786334691620121nt_int ).
thf(func_def_1774,type,
inv_im2903009620893676101at_nat: set_Pr7459493094073627847at_nat > ( nat > set_Pr4329608150637261639at_nat ) > set_Pr1261947904930325089at_nat ).
thf(func_def_1775,type,
refl_on_o: set_o > set_Product_prod_o_o > $o ).
thf(func_def_1776,type,
refl_on_int: set_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_1777,type,
refl_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1778,type,
refl_o7122697186039111552at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_1779,type,
refl_o7446464703481863270at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o ).
thf(func_def_1780,type,
refl_on_Product_unit: set_Product_unit > set_Pr5094982260447487303t_unit > $o ).
thf(func_def_1781,type,
refl_o6955724340487615712at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1782,type,
refl_o6272981002401706822at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o ).
thf(func_def_1783,type,
relcom1820845089908643850nteger: ( ( code_integer > code_integer ) > ( code_integer > code_integer ) > $o ) > ( ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
thf(func_def_1784,type,
relcom7212586982944386682nteger: ( ( int > int ) > ( int > int ) > $o ) > ( ( int > int ) > ( code_integer > code_integer ) > $o ) > ( int > int ) > ( code_integer > code_integer ) > $o ).
thf(func_def_1785,type,
relcom6733878598652036755nt_int: ( ( int > int ) > ( int > product_prod_int_int ) > $o ) > ( ( int > product_prod_int_int ) > ( int > int ) > $o ) > ( int > int ) > ( int > int ) > $o ).
thf(func_def_1786,type,
relcom2406850561174050523nt_nat: ( ( int > nat ) > ( int > product_prod_nat_nat ) > $o ) > ( ( int > product_prod_nat_nat ) > ( int > nat ) > $o ) > ( int > nat ) > ( int > nat ) > $o ).
thf(func_def_1787,type,
relcom1848932251921554756er_num: ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( code_integer > num ) > ( code_integer > num ) > $o ) > ( int > num ) > ( code_integer > num ) > $o ).
thf(func_def_1788,type,
relcom7779292856395800339nt_num: ( ( int > num ) > ( code_integer > num ) > $o ) > ( ( code_integer > num ) > ( int > num ) > $o ) > ( int > num ) > ( int > num ) > $o ).
thf(func_def_1789,type,
relcom1533066287727470739er_num: ( ( int > num ) > ( int > num ) > $o ) > ( ( int > num ) > ( code_integer > num ) > $o ) > ( int > num ) > ( code_integer > num ) > $o ).
thf(func_def_1790,type,
relcom9025577121137075810nt_num: ( ( int > num ) > ( int > num ) > $o ) > ( ( int > num ) > ( int > num ) > $o ) > ( int > num ) > ( int > num ) > $o ).
thf(func_def_1791,type,
relcom1697847500783689711nt_num: ( ( int > num ) > ( int > product_prod_num_num ) > $o ) > ( ( int > product_prod_num_num ) > ( int > num ) > $o ) > ( int > num ) > ( int > num ) > $o ).
thf(func_def_1792,type,
relcom2127790875031262553er_int: ( ( int > product_prod_nat_nat ) > ( int > product_prod_nat_nat ) > $o ) > ( ( int > product_prod_nat_nat ) > ( code_integer > int ) > $o ) > ( int > product_prod_nat_nat ) > ( code_integer > int ) > $o ).
thf(func_def_1793,type,
relcom5920149085449455271at_nat: ( ( list_nat > nat ) > ( list_nat > product_prod_nat_nat ) > $o ) > ( ( list_nat > product_prod_nat_nat ) > ( list_nat > nat ) > $o ) > ( list_nat > nat ) > ( list_nat > nat ) > $o ).
thf(func_def_1794,type,
relcom3290293904592725231at_int: ( ( nat > int ) > ( nat > product_prod_int_int ) > $o ) > ( ( nat > product_prod_int_int ) > ( nat > int ) > $o ) > ( nat > int ) > ( nat > int ) > $o ).
thf(func_def_1795,type,
relcom8186637903969514807at_nat: ( ( nat > nat ) > ( nat > product_prod_nat_nat ) > $o ) > ( ( nat > product_prod_nat_nat ) > ( nat > nat ) > $o ) > ( nat > nat ) > ( nat > nat ) > $o ).
thf(func_def_1796,type,
relcom458776940982682326nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > $o ) > ( ( code_integer > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > $o ).
thf(func_def_1797,type,
relcom4829277440228594702nteger: ( ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > $o ) > ( ( code_integer > code_integer ) > code_integer > $o ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > code_integer > $o ).
thf(func_def_1798,type,
relcom4574826104943343961nteger: ( ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > int ) > $o ) > ( ( product_prod_nat_nat > int ) > ( int > code_integer ) > $o ) > ( product_prod_nat_nat > int ) > ( int > code_integer ) > $o ).
thf(func_def_1799,type,
relcom4272412204205018633nt_nat: ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( ( int > nat ) > ( int > nat ) > $o ) > ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ).
thf(func_def_1800,type,
relcom531901107642208332nt_nat: ( ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > $o ) > ( ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ) > ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ).
thf(func_def_1801,type,
relcom4982215633375716084nt_int: ( ( 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 ) > ( int > int ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ).
thf(func_def_1802,type,
relcom2810802720173317863at_int: ( ( rat > int ) > ( rat > product_prod_int_int ) > $o ) > ( ( rat > product_prod_int_int ) > ( rat > int ) > $o ) > ( rat > int ) > ( rat > int ) > $o ).
thf(func_def_1803,type,
relcom7707146719550107439at_nat: ( ( rat > nat ) > ( rat > product_prod_nat_nat ) > $o ) > ( ( rat > product_prod_nat_nat ) > ( rat > nat ) > $o ) > ( rat > nat ) > ( rat > nat ) > $o ).
thf(func_def_1804,type,
relcom4417706183330134766ar_int: ( ( char > int ) > ( char > product_prod_int_int ) > $o ) > ( ( char > product_prod_int_int ) > ( char > int ) > $o ) > ( char > int ) > ( char > int ) > $o ).
thf(func_def_1805,type,
relcom8141925468094106422ar_nat: ( ( char > nat ) > ( char > product_prod_nat_nat ) > $o ) > ( ( char > product_prod_nat_nat ) > ( char > nat ) > $o ) > ( char > nat ) > ( char > nat ) > $o ).
thf(func_def_1806,type,
relcompp_o_o_o: ( $o > $o > $o ) > ( $o > $o > $o ) > $o > $o > $o ).
thf(func_def_1807,type,
relcompp_o_o_nat: ( $o > $o > $o ) > ( $o > nat > $o ) > $o > nat > $o ).
thf(func_def_1808,type,
relcom692387321444912665nteger: ( code_integer > int > $o ) > ( int > code_integer > $o ) > code_integer > code_integer > $o ).
thf(func_def_1809,type,
relcom3789353511612409832nt_int: ( code_integer > int > $o ) > ( int > int > $o ) > code_integer > int > $o ).
thf(func_def_1810,type,
relcom3136146828236442456t_unit: ( ref_a > produc7812382424243267045t_unit > $o ) > ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit > $o ) > ref_a > heap_e7401611519738050253t_unit > $o ).
thf(func_def_1811,type,
relcom8320293257703906841nteger: ( int > code_integer > $o ) > ( code_integer > code_integer > $o ) > int > code_integer > $o ).
thf(func_def_1812,type,
relcom328798225758222312er_int: ( int > code_integer > $o ) > ( code_integer > int > $o ) > int > int > $o ).
thf(func_def_1813,type,
relcom967497705283160040nteger: ( int > int > $o ) > ( int > code_integer > $o ) > int > code_integer > $o ).
thf(func_def_1814,type,
relcompp_int_int_int: ( int > int > $o ) > ( int > int > $o ) > int > int > $o ).
thf(func_def_1815,type,
relcompp_int_int_nat: ( int > int > $o ) > ( int > nat > $o ) > int > nat > $o ).
thf(func_def_1816,type,
relcompp_int_nat_int: ( int > nat > $o ) > ( nat > int > $o ) > int > int > $o ).
thf(func_def_1817,type,
relcompp_int_nat_num: ( int > nat > $o ) > ( nat > num > $o ) > int > num > $o ).
thf(func_def_1818,type,
relcom3664783465810776136nt_int: ( int > product_prod_int_int > $o ) > ( product_prod_int_int > int > $o ) > int > int > $o ).
thf(func_def_1819,type,
relcom1106208330880909712at_int: ( int > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > int > int > $o ).
thf(func_def_1820,type,
relcom716700242784427165at_nat: ( int > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > int > product_prod_nat_nat > $o ).
thf(func_def_1821,type,
relcom7887202796854296604nteger: ( list_nat > int > $o ) > ( int > code_integer > $o ) > list_nat > code_integer > $o ).
thf(func_def_1822,type,
relcom8030397737370142931st_nat: ( list_nat > list_nat > $o ) > ( list_nat > list_nat > $o ) > list_nat > list_nat > $o ).
thf(func_def_1823,type,
relcom170568170053003356at_int: ( list_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > list_nat > int > $o ).
thf(func_def_1824,type,
relcompp_nat_o_o: ( nat > $o > $o ) > ( $o > $o > $o ) > nat > $o > $o ).
thf(func_def_1825,type,
relcompp_nat_o_nat: ( nat > $o > $o ) > ( $o > nat > $o ) > nat > nat > $o ).
thf(func_def_1826,type,
relcom3277315637376110988nteger: ( nat > int > $o ) > ( int > code_integer > $o ) > nat > code_integer > $o ).
thf(func_def_1827,type,
relcompp_nat_int_int: ( nat > int > $o ) > ( int > int > $o ) > nat > int > $o ).
thf(func_def_1828,type,
relcompp_nat_int_nat: ( nat > int > $o ) > ( int > nat > $o ) > nat > nat > $o ).
thf(func_def_1829,type,
relcompp_nat_nat_int: ( nat > nat > $o ) > ( nat > int > $o ) > nat > int > $o ).
thf(func_def_1830,type,
relcompp_nat_nat_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > nat > $o ).
thf(func_def_1831,type,
relcompp_nat_nat_num: ( nat > nat > $o ) > ( nat > num > $o ) > nat > num > $o ).
thf(func_def_1832,type,
relcom8569543703982574316at_int: ( nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > nat > int > $o ).
thf(func_def_1833,type,
relcom8572034174491624592at_nat: ( nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > nat > $o ) > nat > nat > $o ).
thf(func_def_1834,type,
relcompp_nat_rat_nat: ( nat > rat > $o ) > ( rat > nat > $o ) > nat > nat > $o ).
thf(func_def_1835,type,
relcom8112501251453913252ar_nat: ( nat > char > $o ) > ( char > nat > $o ) > nat > nat > $o ).
thf(func_def_1836,type,
relcompp_num_nat_int: ( num > nat > $o ) > ( nat > int > $o ) > num > int > $o ).
thf(func_def_1837,type,
relcompp_num_nat_num: ( num > nat > $o ) > ( nat > num > $o ) > num > num > $o ).
thf(func_def_1838,type,
relcompp_num_num_num: ( num > num > $o ) > ( num > num > $o ) > num > num > $o ).
thf(func_def_1839,type,
relcom2949942408940504938nt_int: ( product_prod_nat_nat > int > $o ) > ( int > int > $o ) > product_prod_nat_nat > int > $o ).
thf(func_def_1840,type,
relcom8911704206367525917at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat > int > $o ).
thf(func_def_1841,type,
relcom282571730187242960at_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 > $o ).
thf(func_def_1842,type,
relcom3409376902655092628nteger: ( rat > int > $o ) > ( int > code_integer > $o ) > rat > code_integer > $o ).
thf(func_def_1843,type,
relcompp_rat_int_rat: ( rat > int > $o ) > ( int > rat > $o ) > rat > rat > $o ).
thf(func_def_1844,type,
relcompp_rat_nat_rat: ( rat > nat > $o ) > ( nat > rat > $o ) > rat > rat > $o ).
thf(func_def_1845,type,
relcom1211213461163567844at_int: ( rat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > rat > int > $o ).
thf(func_def_1846,type,
relcompp_rat_rat_rat: ( rat > rat > $o ) > ( rat > rat > $o ) > rat > rat > $o ).
thf(func_def_1847,type,
relcom1505247221262953652ar_rat: ( rat > char > $o ) > ( char > rat > $o ) > rat > rat > $o ).
thf(func_def_1848,type,
relcom8363394528208558896at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1849,type,
relcom5819909836510906509nteger: ( char > int > $o ) > ( int > code_integer > $o ) > char > code_integer > $o ).
thf(func_def_1850,type,
relcom750623199913152513t_char: ( char > int > $o ) > ( int > char > $o ) > char > char > $o ).
thf(func_def_1851,type,
relcom6755291642603558309t_char: ( char > nat > $o ) > ( nat > char > $o ) > char > char > $o ).
thf(func_def_1852,type,
relcom7879471502873553579at_int: ( char > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > char > int > $o ).
thf(func_def_1853,type,
relcom3428143170894750637t_char: ( char > rat > $o ) > ( rat > char > $o ) > char > char > $o ).
thf(func_def_1854,type,
relcom5872928454965100966r_char: ( char > char > $o ) > ( char > char > $o ) > char > char > $o ).
thf(func_def_1855,type,
total_on_o: set_o > set_Product_prod_o_o > $o ).
thf(func_def_1856,type,
total_on_int: set_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_1857,type,
total_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1858,type,
total_3592101749530773125at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_1859,type,
total_1513685709984341995at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o ).
thf(func_def_1860,type,
total_5665700600833547665t_unit: set_Product_unit > set_Pr5094982260447487303t_unit > $o ).
thf(func_def_1861,type,
total_7212417256332265445at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1862,type,
total_5117575981256876747at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o ).
thf(func_def_1863,type,
trans_4347625901269045472at_nat: set_Pr8693737435421807431at_nat > $o ).
thf(func_def_1864,type,
divide_divide_int: int > int > int ).
thf(func_def_1865,type,
divide_divide_rat: rat > rat > rat ).
thf(func_def_1866,type,
dvd_dvd_nat: nat > nat > $o ).
thf(func_def_1867,type,
modulo_modulo_nat: nat > nat > nat ).
thf(func_def_1868,type,
zero_n2684676970156552555ol_int: $o > int ).
thf(func_def_1869,type,
collec5651646645946169514nteger: ( ( code_integer > code_integer > code_integer ) > $o ) > set_Co4375521073081744395nteger ).
thf(func_def_1870,type,
collect_int_int: ( ( int > int ) > $o ) > set_int_int ).
thf(func_def_1871,type,
collect_int_nat: ( ( int > nat ) > $o ) > set_int_nat ).
thf(func_def_1872,type,
collect_int_num: ( ( int > num ) > $o ) > set_int_num ).
thf(func_def_1873,type,
collec2229320974926845999nt_int: ( ( int > product_prod_int_int ) > $o ) > set_in6154042108061588260nt_int ).
thf(func_def_1874,type,
collec2532482545165550967at_nat: ( ( int > product_prod_nat_nat ) > $o ) > set_in7748886932685137004at_nat ).
thf(func_def_1875,type,
collec266097228571071243um_num: ( ( int > product_prod_num_num ) > $o ) > set_in3169746454734514176um_num ).
thf(func_def_1876,type,
collec3092956710985254339at_nat: ( ( list_nat > product_prod_nat_nat ) > $o ) > set_li2168235667650531768at_nat ).
thf(func_def_1877,type,
collect_nat_o: ( ( nat > $o ) > $o ) > set_nat_o ).
thf(func_def_1878,type,
collect_nat_nat: ( ( nat > nat ) > $o ) > set_nat_nat ).
thf(func_def_1879,type,
collec8414850927317488011nt_int: ( ( nat > product_prod_int_int ) > $o ) > set_na7251125088705586816nt_int ).
thf(func_def_1880,type,
collec8718012497556192979at_nat: ( ( nat > product_prod_nat_nat ) > $o ) > set_na8845969913329135560at_nat ).
thf(func_def_1881,type,
collec2521308361159233923nt_int: ( ( rat > product_prod_int_int ) > $o ) > set_ra518564293221149304nt_int ).
thf(func_def_1882,type,
collec2824469931397938891at_nat: ( ( rat > product_prod_nat_nat ) > $o ) > set_ra2113409117844698048at_nat ).
thf(func_def_1883,type,
collec1380656525566158922nt_int: ( ( char > product_prod_int_int ) > $o ) > set_ch6383161263842509759nt_int ).
thf(func_def_1884,type,
collec1683818095804863890at_nat: ( ( char > product_prod_nat_nat ) > $o ) > set_ch7978006088466058503at_nat ).
thf(func_def_1885,type,
collect_o: ( $o > $o ) > set_o ).
thf(func_def_1886,type,
collect_ref_a: ( ref_a > $o ) > set_ref_a ).
thf(func_def_1887,type,
collect_int: ( int > $o ) > set_int ).
thf(func_def_1888,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_1889,type,
collec3252306575900995386t_unit: ( produc7812382424243267045t_unit > $o ) > set_Pr1133966238863718811t_unit ).
thf(func_def_1890,type,
collec7215431352809750357nteger: ( produc2963269191615333738nteger > $o ) > set_Pr8415741480598773322nteger ).
thf(func_def_1891,type,
collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).
thf(func_def_1892,type,
collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_1893,type,
collec4100598399430923318at_num: ( product_prod_nat_num > $o ) > set_Pr6200539531224447659at_num ).
thf(func_def_1894,type,
collec5600542410287506995nt_int: ( produc6945250483304103390nt_int > $o ) > set_Pr6123067485828015636nt_int ).
thf(func_def_1895,type,
collec5903703980526211963at_nat: ( produc7248412053542808358at_nat > $o ) > set_Pr7717912310451564380at_nat ).
thf(func_def_1896,type,
collec1522684865789554998um_nat: ( product_prod_num_nat > $o ) > set_Pr3280342998896498603um_nat ).
thf(func_def_1897,type,
collec2230928802738392704um_num: ( product_prod_num_num > $o ) > set_Pr8218934625190621173um_num ).
thf(func_def_1898,type,
collec364394062568603661nt_nat: ( produc1709102135585200056nt_nat > $o ) > set_Pr2543308735921124078nt_nat ).
thf(func_def_1899,type,
collec7447955092554649554nt_int: ( produc1219242969750017639nt_int > $o ) > set_Pr2560585780119916871nt_int ).
thf(func_def_1900,type,
collec7751116662793354522at_nat: ( produc1522404539988722607at_nat > $o ) > set_Pr4155430604743465615at_nat ).
thf(func_def_1901,type,
collec2851339944984316337at_int: ( produc4196048018000912732at_int > $o ) > set_Pr49084382684228242at_int ).
thf(func_def_1902,type,
collec7029190964493513045at_nat: ( produc8373899037510109440at_nat > $o ) > set_Pr2539167527615954998at_nat ).
thf(func_def_1903,type,
collec6785001409445536906nt_int: ( produc556289286640904991nt_int > $o ) > set_Pr7098892610798258687nt_int ).
thf(func_def_1904,type,
collec7088162979684241874at_nat: ( produc859450856879609959at_nat > $o ) > set_Pr8693737435421807431at_nat ).
thf(func_def_1905,type,
collec6321179662152712658at_nat: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ).
thf(func_def_1906,type,
collec7872792499061297490at_nat: ( produc1319942482725812455at_nat > $o ) > set_Pr7459493094073627847at_nat ).
thf(func_def_1907,type,
collect_rat: ( rat > $o ) > set_rat ).
thf(func_def_1908,type,
collec5514110066124741708at_nat: ( set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat ).
thf(func_def_1909,type,
collec4573900263915890866at_nat: ( set_Pr4329608150637261639at_nat > $o ) > set_se5479201105039950375at_nat ).
thf(func_def_1910,type,
pow_o: set_o > set_set_o ).
thf(func_def_1911,type,
pow_int: set_int > set_set_int ).
thf(func_def_1912,type,
pow_nat: set_nat > set_set_nat ).
thf(func_def_1913,type,
pow_Pr3466873192417945886at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).
thf(func_def_1914,type,
pow_Pr1023649790151954692at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat ).
thf(func_def_1915,type,
pow_Product_unit: set_Product_unit > set_set_Product_unit ).
thf(func_def_1916,type,
pow_rat: set_rat > set_set_rat ).
thf(func_def_1917,type,
image_o_o_set_o: ( ( $o > $o ) > set_o ) > set_o_o > set_set_o ).
thf(func_def_1918,type,
image_1365644804893650413_int_o: ( ( int > int > $o ) > product_prod_int_int > $o ) > set_int_int_o > set_Pr8049984349381595834_int_o ).
thf(func_def_1919,type,
image_int_o_set_int: ( ( int > $o ) > set_int ) > set_int_o > set_set_int ).
thf(func_def_1920,type,
image_6646056845087809525nt_int: ( ( int > int ) > int > int ) > set_int_int > set_int_int ).
thf(func_def_1921,type,
image_1600535827742230425nt_nat: ( ( int > int ) > int > nat ) > set_int_int > set_int_nat ).
thf(func_def_1922,type,
image_1234974663384347033nt_int: ( ( int > nat ) > int > int ) > set_int_nat > set_int_int ).
thf(func_def_1923,type,
image_5412825682893543741nt_nat: ( ( int > nat ) > int > nat ) > set_int_nat > set_int_nat ).
thf(func_def_1924,type,
image_1904597124500147013nt_rat: ( ( int > nat ) > int > rat ) > set_int_nat > set_int_rat ).
thf(func_def_1925,type,
image_4174709274675160035t_unit: ( ( int > rat ) > product_unit ) > set_int_rat > set_Product_unit ).
thf(func_def_1926,type,
image_4409302170498516394t_unit: ( ( int > char ) > product_unit ) > set_int_char > set_Product_unit ).
thf(func_def_1927,type,
image_7429393840292777309_nat_o: ( ( nat > nat > $o ) > product_prod_nat_nat > $o ) > set_nat_nat_o > set_Pr5582243495563764594_nat_o ).
thf(func_def_1928,type,
image_8484515203959327177_num_o: ( ( nat > num > $o ) > product_prod_nat_num > $o ) > set_nat_num_o > set_Pr5908833319024110760_num_o ).
thf(func_def_1929,type,
image_nat_o_set_nat: ( ( nat > $o ) > set_nat ) > set_nat_o > set_set_nat ).
thf(func_def_1930,type,
image_5437939712159429529nt_int: ( ( nat > int ) > int > int ) > set_nat_int > set_int_int ).
thf(func_def_1931,type,
image_392418694813850429nt_nat: ( ( nat > int ) > int > nat ) > set_nat_int > set_int_nat ).
thf(func_def_1932,type,
image_26857530455967037nt_int: ( ( nat > nat ) > int > int ) > set_nat_nat > set_int_int ).
thf(func_def_1933,type,
image_4204708549965163745nt_nat: ( ( nat > nat ) > int > nat ) > set_nat_nat > set_int_nat ).
thf(func_def_1934,type,
image_696479991571767017nt_rat: ( ( nat > nat ) > int > rat ) > set_nat_nat > set_int_rat ).
thf(func_def_1935,type,
image_340470173791133503t_unit: ( ( nat > rat ) > product_unit ) > set_nat_rat > set_Product_unit ).
thf(func_def_1936,type,
image_4600008085730780422t_unit: ( ( nat > char ) > product_unit ) > set_nat_char > set_Product_unit ).
thf(func_def_1937,type,
image_4447441447610994254nt_int: ( ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ) > set_Pr8049984349381595834_int_o > set_se6260736226359567993nt_int ).
thf(func_def_1938,type,
image_7124889717316225246at_nat: ( ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ) > set_Pr5582243495563764594_nat_o > set_se7855581050983116737at_nat ).
thf(func_def_1939,type,
image_6580737572886966642at_num: ( ( product_prod_nat_num > $o ) > set_Pr6200539531224447659at_num ) > set_Pr5908833319024110760_num_o > set_se4826145725398303499at_num ).
thf(func_def_1940,type,
image_4902389024228248874at_nat: ( ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ) > set_Pr7010166363911110284_nat_o > set_se5479201105039950375at_nat ).
thf(func_def_1941,type,
image_5694205205332509994at_nat: ( ( produc1319942482725812455at_nat > $o ) > set_Pr7459493094073627847at_nat ) > set_Pr7669914128964046860_nat_o > set_se7592288975875140775at_nat ).
thf(func_def_1942,type,
image_2910438736038083391t_unit: ( ( rat > nat ) > product_unit ) > set_rat_nat > set_Product_unit ).
thf(func_def_1943,type,
image_1193274288206594871t_unit: ( ( rat > rat ) > product_unit ) > set_rat_rat > set_Product_unit ).
thf(func_def_1944,type,
image_6940606515012899070t_unit: ( ( rat > char ) > product_unit ) > set_rat_char > set_Product_unit ).
thf(func_def_1945,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_1946,type,
image_5235725667318448191_nat_o: ( ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > produc1319942482725812455at_nat > $o ) > set_se7255092946006855566_nat_o > set_Pr7669914128964046860_nat_o ).
thf(func_def_1947,type,
image_108929247839792006t_unit: ( ( char > nat ) > product_unit ) > set_char_nat > set_Product_unit ).
thf(func_def_1948,type,
image_7615136836863079294t_unit: ( ( char > rat ) > product_unit ) > set_char_rat > set_Product_unit ).
thf(func_def_1949,type,
image_8077363282794994245t_unit: ( ( char > char ) > product_unit ) > set_char_char > set_Product_unit ).
thf(func_def_1950,type,
image_o_o: ( $o > $o ) > set_o > set_o ).
thf(func_def_1951,type,
image_o_Code_integer: ( $o > code_integer ) > set_o > set_Code_integer ).
thf(func_def_1952,type,
image_o_int: ( $o > int ) > set_o > set_int ).
thf(func_def_1953,type,
image_o_nat: ( $o > nat ) > set_o > set_nat ).
thf(func_def_1954,type,
image_3855930084881510382at_nat: ( $o > product_prod_nat_nat ) > set_o > set_Pr1261947904930325089at_nat ).
thf(func_def_1955,type,
image_o_Product_unit: ( $o > product_unit ) > set_o > set_Product_unit ).
thf(func_def_1956,type,
image_o_rat: ( $o > rat ) > set_o > set_rat ).
thf(func_def_1957,type,
image_o_set_o: ( $o > set_o ) > set_o > set_set_o ).
thf(func_def_1958,type,
image_o_set_int: ( $o > set_int ) > set_o > set_set_int ).
thf(func_def_1959,type,
image_o_set_nat: ( $o > set_nat ) > set_o > set_set_nat ).
thf(func_def_1960,type,
image_7077428525161401678at_nat: ( $o > set_Pr1261947904930325089at_nat ) > set_o > set_se7855581050983116737at_nat ).
thf(func_def_1961,type,
image_8493167801588156084at_nat: ( $o > set_Pr8693737435421807431at_nat ) > set_o > set_se6425085446898223655at_nat ).
thf(func_def_1962,type,
image_2496312346330513076at_nat: ( $o > set_Pr4329608150637261639at_nat ) > set_o > set_se5479201105039950375at_nat ).
thf(func_def_1963,type,
image_663195431845683034t_unit: ( $o > set_Product_unit ) > set_o > set_set_Product_unit ).
thf(func_def_1964,type,
image_o_set_rat: ( $o > set_rat ) > set_o > set_set_rat ).
thf(func_def_1965,type,
image_o_set_char: ( $o > set_char ) > set_o > set_set_char ).
thf(func_def_1966,type,
image_o_char: ( $o > char ) > set_o > set_char ).
thf(func_def_1967,type,
image_2177946750938214461nteger: ( code_integer > code_integer > code_integer ) > set_Code_integer > set_Co726186806682698383nteger ).
thf(func_def_1968,type,
image_4470545334726330049nteger: ( code_integer > code_integer ) > set_Code_integer > set_Code_integer ).
thf(func_def_1969,type,
image_5570573867351727369t_unit: ( ref_a > set_he8644174446132254637t_unit ) > set_ref_a > set_se4612898379794543757t_unit ).
thf(func_def_1970,type,
image_int_o: ( int > $o ) > set_int > set_o ).
thf(func_def_1971,type,
image_int_int: ( int > int ) > set_int > set_int ).
thf(func_def_1972,type,
image_int_nat: ( int > nat ) > set_int > set_nat ).
thf(func_def_1973,type,
image_int_num: ( int > num ) > set_int > set_num ).
thf(func_def_1974,type,
image_5705468584675977158nt_int: ( int > product_prod_int_int ) > set_int > set_Pr958786334691620121nt_int ).
thf(func_def_1975,type,
image_659947567330398058nt_nat: ( int > product_prod_int_nat ) > set_int > set_Pr3448869479623346877nt_nat ).
thf(func_def_1976,type,
image_8883965892284119310at_nat: ( int > product_prod_nat_nat ) > set_int > set_Pr1261947904930325089at_nat ).
thf(func_def_1977,type,
image_7722540232540426402um_num: ( int > product_prod_num_num ) > set_int > set_Pr8218934625190621173um_num ).
thf(func_def_1978,type,
image_5846526143423701914t_unit: ( int > product_unit ) > set_int > set_Product_unit ).
thf(func_def_1979,type,
image_int_rat: ( int > rat ) > set_int > set_rat ).
thf(func_def_1980,type,
image_int_set_o: ( int > set_o ) > set_int > set_set_o ).
thf(func_def_1981,type,
image_int_set_int: ( int > set_int ) > set_int > set_set_int ).
thf(func_def_1982,type,
image_int_set_nat: ( int > set_nat ) > set_int > set_set_nat ).
thf(func_def_1983,type,
image_8635204845542730022nt_int: ( int > set_Pr958786334691620121nt_int ) > set_int > set_se6260736226359567993nt_int ).
thf(func_def_1984,type,
image_8938366415781434990at_nat: ( int > set_Pr1261947904930325089at_nat ) > set_int > set_se7855581050983116737at_nat ).
thf(func_def_1985,type,
image_525487068563185620at_nat: ( int > set_Pr8693737435421807431at_nat ) > set_int > set_se6425085446898223655at_nat ).
thf(func_def_1986,type,
image_8658272795163236474t_unit: ( int > set_Product_unit ) > set_int > set_set_Product_unit ).
thf(func_def_1987,type,
image_7976474329151083847st_nat: ( list_nat > list_nat ) > set_list_nat > set_list_nat ).
thf(func_def_1988,type,
image_list_nat_nat: ( list_nat > nat ) > set_list_nat > set_nat ).
thf(func_def_1989,type,
image_2795870212791037530at_nat: ( list_nat > product_prod_nat_nat ) > set_list_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1990,type,
image_nat_o: ( nat > $o ) > set_nat > set_o ).
thf(func_def_1991,type,
image_nat_int: ( nat > int ) > set_nat > set_int ).
thf(func_def_1992,type,
image_nat_list_nat: ( nat > list_nat ) > set_nat > set_list_nat ).
thf(func_def_1993,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_1994,type,
image_nat_num: ( nat > num ) > set_nat > set_num ).
thf(func_def_1995,type,
image_2667626500211843362nt_int: ( nat > product_prod_int_int ) > set_nat > set_Pr958786334691620121nt_int ).
thf(func_def_1996,type,
image_6845477519721040070nt_nat: ( nat > product_prod_int_nat ) > set_nat > set_Pr3448869479623346877nt_nat ).
thf(func_def_1997,type,
image_3337248961327643342nt_rat: ( nat > product_prod_int_rat ) > set_nat > set_Pr6292255179000445125nt_rat ).
thf(func_def_1998,type,
image_5846123807819985514at_nat: ( nat > product_prod_nat_nat ) > set_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1999,type,
image_3276603626957510736at_nat: ( nat > produc859450856879609959at_nat ) > set_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_2000,type,
image_3978134465758882403it_nat: ( nat > produc600557818389255820it_nat ) > set_nat > set_Pr1763845938948868674it_nat ).
thf(func_def_2001,type,
image_469905907365485675it_rat: ( nat > produc6315701296850634900it_rat ) > set_nat > set_Pr4607231638325966922it_rat ).
thf(func_def_2002,type,
image_1351718144375922894at_int: ( nat > product_prod_rat_int ) > set_nat > set_Pr3594552606344371909at_int ).
thf(func_def_2003,type,
image_5529569163885119602at_nat: ( nat > product_prod_rat_nat ) > set_nat > set_Pr6084635751276098665at_nat ).
thf(func_def_2004,type,
image_2021340605491722874at_rat: ( nat > product_prod_rat_rat ) > set_nat > set_Pr8928021450653196913at_rat ).
thf(func_def_2005,type,
image_2499013659892586576at_nat: ( nat > produc3843707927480180839at_nat ) > set_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2006,type,
image_8730104196221521654t_unit: ( nat > product_unit ) > set_nat > set_Product_unit ).
thf(func_def_2007,type,
image_nat_rat: ( nat > rat ) > set_nat > set_rat ).
thf(func_def_2008,type,
image_nat_set_o: ( nat > set_o ) > set_nat > set_set_o ).
thf(func_def_2009,type,
image_nat_set_int: ( nat > set_int ) > set_nat > set_set_int ).
thf(func_def_2010,type,
image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).
thf(func_def_2011,type,
image_7178329752028323786at_nat: ( nat > set_Pr1261947904930325089at_nat ) > set_nat > set_se7855581050983116737at_nat ).
thf(func_def_2012,type,
image_2893549341467670548at_num: ( nat > set_Pr6200539531224447659at_num ) > set_nat > set_se4826145725398303499at_num ).
thf(func_def_2013,type,
image_4592875511192039216at_nat: ( nat > set_Pr8693737435421807431at_nat ) > set_nat > set_se6425085446898223655at_nat ).
thf(func_def_2014,type,
image_1087905878993176368at_nat: ( nat > set_Pr4329608150637261639at_nat ) > set_nat > set_se5479201105039950375at_nat ).
thf(func_def_2015,type,
image_4824033694279209942t_unit: ( nat > set_Product_unit ) > set_nat > set_set_Product_unit ).
thf(func_def_2016,type,
image_nat_set_rat: ( nat > set_rat ) > set_nat > set_set_rat ).
thf(func_def_2017,type,
image_nat_set_char: ( nat > set_char ) > set_nat > set_set_char ).
thf(func_def_2018,type,
image_nat_char: ( nat > char ) > set_nat > set_char ).
thf(func_def_2019,type,
image_678696785212003926at_nat: ( nat > sum_sum_nat_nat ) > set_nat > set_Sum_sum_nat_nat ).
thf(func_def_2020,type,
image_num_o: ( num > $o ) > set_num > set_o ).
thf(func_def_2021,type,
image_num_int: ( num > int ) > set_num > set_int ).
thf(func_def_2022,type,
image_num_nat: ( num > nat ) > set_num > set_nat ).
thf(func_def_2023,type,
image_num_num: ( num > num ) > set_num > set_num ).
thf(func_def_2024,type,
image_4778453735051108682at_num: ( num > set_Pr6200539531224447659at_num ) > set_num > set_se4826145725398303499at_num ).
thf(func_def_2025,type,
image_7896445794123959606_o_o_o: ( product_prod_o_o > $o ) > set_Product_prod_o_o > set_o ).
thf(func_def_2026,type,
image_8105710389281276538_nat_o: ( product_prod_o_nat > $o ) > set_Pr2101469702781467981_o_nat > set_o ).
thf(func_def_2027,type,
image_4888532181312399726at_nat: ( product_prod_o_nat > nat ) > set_Pr2101469702781467981_o_nat > set_nat ).
thf(func_def_2028,type,
image_8742399529945250561unit_o: ( produc3788275437394581276t_unit > $o ) > set_Pr6671815714118170108t_unit > set_o ).
thf(func_def_2029,type,
image_4419268941131634678t_unit: ( produc3788275437394581276t_unit > product_unit ) > set_Pr6671815714118170108t_unit > set_Product_unit ).
thf(func_def_2030,type,
image_17660834435998945t_unit: ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > set_Pr1133966238863718811t_unit > set_he8644174446132254637t_unit ).
thf(func_def_2031,type,
image_7136766188234240905_ref_a: ( produc7812382424243267045t_unit > ref_a ) > set_Pr1133966238863718811t_unit > set_ref_a ).
thf(func_def_2032,type,
image_1531683682067511245nt_int: ( produc7812382424243267045t_unit > product_prod_int_int ) > set_Pr1133966238863718811t_unit > set_Pr958786334691620121nt_int ).
thf(func_def_2033,type,
image_4710180989675653397at_nat: ( produc7812382424243267045t_unit > product_prod_nat_nat ) > set_Pr1133966238863718811t_unit > set_Pr1261947904930325089at_nat ).
thf(func_def_2034,type,
image_90517134139374612_o_int: ( product_prod_int_o > int ) > set_Pr903927857289325719_int_o > set_int ).
thf(func_def_2035,type,
image_2135063354759101220_int_o: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int > set_o ).
thf(func_def_2036,type,
image_5042161079198086560nt_int: ( product_prod_int_int > int ) > set_Pr958786334691620121nt_int > set_int ).
thf(func_def_2037,type,
image_5044651549707136836nt_nat: ( product_prod_int_int > nat ) > set_Pr958786334691620121nt_int > set_nat ).
thf(func_def_2038,type,
image_2653370878348428101nt_int: ( product_prod_int_int > product_prod_int_int ) > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).
thf(func_def_2039,type,
image_6831221897857624809nt_nat: ( product_prod_int_int > product_prod_int_nat ) > set_Pr958786334691620121nt_int > set_Pr3448869479623346877nt_nat ).
thf(func_def_2040,type,
image_1654017166447373545at_int: ( product_prod_int_int > product_prod_nat_int ) > set_Pr958786334691620121nt_int > set_Pr7995236796853374141at_int ).
thf(func_def_2041,type,
image_5831868185956570253at_nat: ( product_prod_int_int > product_prod_nat_nat ) > set_Pr958786334691620121nt_int > set_Pr1261947904930325089at_nat ).
thf(func_def_2042,type,
image_6540112122905407959at_num: ( product_prod_int_int > product_prod_nat_num ) > set_Pr958786334691620121nt_int > set_Pr6200539531224447659at_num ).
thf(func_def_2043,type,
image_8858061497167895027at_nat: ( product_prod_int_int > produc859450856879609959at_nat ) > set_Pr958786334691620121nt_int > set_Pr8693737435421807431at_nat ).
thf(func_def_2044,type,
image_6029125644611338739at_nat: ( product_prod_int_int > produc3843707927480180839at_nat ) > set_Pr958786334691620121nt_int > set_Pr4329608150637261639at_nat ).
thf(func_def_2045,type,
image_2855239504505064772at_int: ( product_prod_int_nat > int ) > set_Pr3448869479623346877nt_nat > set_int ).
thf(func_def_2046,type,
image_7928304878501623365nt_nat: ( product_prod_int_nat > product_prod_int_nat ) > set_Pr3448869479623346877nt_nat > set_Pr3448869479623346877nt_nat ).
thf(func_def_2047,type,
image_4420076320108226637nt_rat: ( product_prod_int_nat > product_prod_int_rat ) > set_Pr3448869479623346877nt_nat > set_Pr6292255179000445125nt_rat ).
thf(func_def_2048,type,
image_2751100147091372101at_int: ( product_prod_int_nat > product_prod_nat_int ) > set_Pr3448869479623346877nt_nat > set_Pr7995236796853374141at_int ).
thf(func_def_2049,type,
image_3420722608207172081at_rat: ( product_prod_int_nat > product_prod_nat_rat ) > set_Pr3448869479623346877nt_nat > set_Pr4105333604307423337at_rat ).
thf(func_def_2050,type,
image_7716461468295075337it_int: ( produc6865911496949736918t_unit > int ) > set_Pr5889264611543340172t_unit > set_int ).
thf(func_def_2051,type,
image_7478392465989118804at_o_o: ( product_prod_nat_o > $o ) > set_Pr3149072824959771635_nat_o > set_o ).
thf(func_def_2052,type,
image_8629803608462650132_o_nat: ( product_prod_nat_o > nat ) > set_Pr3149072824959771635_nat_o > set_nat ).
thf(func_def_2053,type,
image_893334214595316897nt_int: ( product_prod_nat_int > product_prod_int_int ) > set_Pr7995236796853374141at_int > set_Pr958786334691620121nt_int ).
thf(func_def_2054,type,
image_5071185234104513605nt_nat: ( product_prod_nat_int > product_prod_int_nat ) > set_Pr7995236796853374141at_int > set_Pr3448869479623346877nt_nat ).
thf(func_def_2055,type,
image_9117352539549038149at_int: ( product_prod_nat_int > product_prod_nat_int ) > set_Pr7995236796853374141at_int > set_Pr7995236796853374141at_int ).
thf(func_def_2056,type,
image_8800797895614172237at_int: ( product_prod_nat_int > product_prod_rat_int ) > set_Pr7995236796853374141at_int > set_Pr3594552606344371909at_int ).
thf(func_def_2057,type,
image_3755276878268593137at_nat: ( product_prod_nat_int > product_prod_rat_nat ) > set_Pr7995236796853374141at_int > set_Pr6084635751276098665at_nat ).
thf(func_def_2058,type,
image_3693632289388996572_nat_o: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > set_o ).
thf(func_def_2059,type,
image_2483585944268220136at_int: ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > set_int ).
thf(func_def_2060,type,
image_2486076414777270412at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > set_nat ).
thf(func_def_2061,type,
image_1990417195239315453nt_int: ( product_prod_nat_nat > product_prod_int_int ) > set_Pr1261947904930325089at_nat > set_Pr958786334691620121nt_int ).
thf(func_def_2062,type,
image_5168914502847457605at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2063,type,
image_5877158439796295311at_num: ( product_prod_nat_nat > product_prod_nat_num ) > set_Pr1261947904930325089at_nat > set_Pr6200539531224447659at_num ).
thf(func_def_2064,type,
image_1119892238107900587at_nat: ( product_prod_nat_nat > produc859450856879609959at_nat ) > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_2065,type,
image_6169909464789311569t_unit: ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > set_Product_unit ).
thf(func_def_2066,type,
image_501298686397505212_set_o: ( product_prod_nat_nat > set_o ) > set_Pr1261947904930325089at_nat > set_set_o ).
thf(func_def_2067,type,
image_15824709712370754et_nat: ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > set_set_nat ).
thf(func_def_2068,type,
image_5423882813909314213at_nat: ( product_prod_nat_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).
thf(func_def_2069,type,
image_5803077947706746251at_nat: ( product_prod_nat_nat > set_Pr8693737435421807431at_nat ) > set_Pr1261947904930325089at_nat > set_se6425085446898223655at_nat ).
thf(func_def_2070,type,
image_121980125215734065t_unit: ( product_prod_nat_nat > set_Product_unit ) > set_Pr1261947904930325089at_nat > set_set_Product_unit ).
thf(func_def_2071,type,
image_4451812852358507538_num_o: ( product_prod_nat_num > $o ) > set_Pr6200539531224447659at_num > set_o ).
thf(func_def_2072,type,
image_4501981038234393650um_int: ( product_prod_nat_num > int ) > set_Pr6200539531224447659at_num > set_int ).
thf(func_def_2073,type,
image_4504471508743443926um_nat: ( product_prod_nat_num > nat ) > set_Pr6200539531224447659at_num > set_nat ).
thf(func_def_2074,type,
image_1039142661021589043nt_int: ( product_prod_nat_num > product_prod_int_int ) > set_Pr6200539531224447659at_num > set_Pr958786334691620121nt_int ).
thf(func_def_2075,type,
image_4217639968629731195at_nat: ( product_prod_nat_num > product_prod_nat_nat ) > set_Pr6200539531224447659at_num > set_Pr1261947904930325089at_nat ).
thf(func_def_2076,type,
image_4925883905578568901at_num: ( product_prod_nat_num > product_prod_nat_num ) > set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num ).
thf(func_def_2077,type,
image_2347970371937200581um_nat: ( product_prod_nat_num > product_prod_num_nat ) > set_Pr6200539531224447659at_num > set_Pr3280342998896498603um_nat ).
thf(func_def_2078,type,
image_2708129733610033121at_nat: ( product_prod_nat_num > produc3843707927480180839at_nat ) > set_Pr6200539531224447659at_num > set_Pr4329608150637261639at_nat ).
thf(func_def_2079,type,
image_3884712837920099081it_nat: ( produc526117512892780850t_unit > nat ) > set_Pr4334478416066269672t_unit > set_nat ).
thf(func_def_2080,type,
image_5511522805742971924t_unit: ( produc526117512892780850t_unit > product_unit ) > set_Pr4334478416066269672t_unit > set_Product_unit ).
thf(func_def_2081,type,
image_7762062833379733445at_num: ( product_prod_num_nat > product_prod_nat_num ) > set_Pr3280342998896498603um_nat > set_Pr6200539531224447659at_num ).
thf(func_def_2082,type,
image_3275415580317762038_nat_o: ( produc859450856879609959at_nat > $o ) > set_Pr8693737435421807431at_nat > set_o ).
thf(func_def_2083,type,
image_6160980552072806642at_nat: ( produc859450856879609959at_nat > nat ) > set_Pr8693737435421807431at_nat > set_nat ).
thf(func_def_2084,type,
image_6706873702294942047at_nat: ( produc859450856879609959at_nat > product_prod_nat_nat ) > set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2085,type,
image_6321802852832981957at_nat: ( produc859450856879609959at_nat > produc859450856879609959at_nat ) > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_2086,type,
image_7637461350386011077at_nat: ( produc859450856879609959at_nat > produc3843707927480180839at_nat ) > set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2087,type,
image_8487516615895632747t_unit: ( produc859450856879609959at_nat > product_unit ) > set_Pr8693737435421807431at_nat > set_Product_unit ).
thf(func_def_2088,type,
image_2819269535336293544et_nat: ( produc859450856879609959at_nat > set_nat ) > set_Pr8693737435421807431at_nat > set_set_nat ).
thf(func_def_2089,type,
image_1384942819424619199at_nat: ( produc859450856879609959at_nat > set_Pr1261947904930325089at_nat ) > set_Pr8693737435421807431at_nat > set_se7855581050983116737at_nat ).
thf(func_def_2090,type,
image_6654316230217496229at_nat: ( produc859450856879609959at_nat > set_Pr8693737435421807431at_nat ) > set_Pr8693737435421807431at_nat > set_se6425085446898223655at_nat ).
thf(func_def_2091,type,
image_3876558564303283877at_nat: ( produc859450856879609959at_nat > set_Pr4329608150637261639at_nat ) > set_Pr8693737435421807431at_nat > set_se5479201105039950375at_nat ).
thf(func_def_2092,type,
image_1801747192096393899it_o_o: ( produc7485711547916492274unit_o > $o ) > set_Pr5464989305201766866unit_o > set_o ).
thf(func_def_2093,type,
image_4246157487713968288t_unit: ( produc7485711547916492274unit_o > product_unit ) > set_Pr5464989305201766866unit_o > set_Product_unit ).
thf(func_def_2094,type,
image_6725568594985674851at_nat: ( produc600557818389255820it_nat > nat ) > set_Pr1763845938948868674it_nat > set_nat ).
thf(func_def_2095,type,
image_7474191388529947450t_unit: ( produc600557818389255820it_nat > product_unit ) > set_Pr1763845938948868674it_nat > set_Product_unit ).
thf(func_def_2096,type,
image_262127665112854123t_unit: ( produc8459935480633519975t_unit > product_unit ) > set_Pr5094982260447487303t_unit > set_Product_unit ).
thf(func_def_2097,type,
image_8033574621161215657at_num: ( produc3843707927480180839at_nat > product_prod_nat_num ) > set_Pr4329608150637261639at_nat > set_Pr6200539531224447659at_num ).
thf(func_def_2098,type,
image_5653576389946358725at_nat: ( produc3843707927480180839at_nat > produc859450856879609959at_nat ) > set_Pr4329608150637261639at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_2099,type,
image_960689587819713477at_nat: ( produc3843707927480180839at_nat > produc3843707927480180839at_nat ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2100,type,
image_7082456443403096939t_unit: ( produc3843707927480180839at_nat > product_unit ) > set_Pr4329608150637261639at_nat > set_Product_unit ).
thf(func_def_2101,type,
image_3160451284896210088et_nat: ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > set_set_nat ).
thf(func_def_2102,type,
image_7979982168039674559at_nat: ( produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ) > set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat ).
thf(func_def_2103,type,
image_7260680879217540773at_nat: ( produc3843707927480180839at_nat > set_Pr8693737435421807431at_nat ) > set_Pr4329608150637261639at_nat > set_se6425085446898223655at_nat ).
thf(func_def_2104,type,
image_7364710425340685989at_nat: ( produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat ).
thf(func_def_2105,type,
image_3313167189156628421at_nat: ( produc1319942482725812455at_nat > produc1319942482725812455at_nat ) > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat ).
thf(func_def_2106,type,
image_2699825501378146573ar_rat: ( produc3922234789054302210ar_nat > produc414006230660905482ar_rat ) > set_Pr1413074515586503650ar_nat > set_Pr4256460214963601898ar_rat ).
thf(func_def_2107,type,
image_5973708714899544198r_char: ( produc3922234789054302210ar_nat > produc143505574896075907r_char ) > set_Pr1413074515586503650ar_nat > set_Pr3309569728657787619r_char ).
thf(func_def_2108,type,
image_4975014655635759961ar_int: ( produc414006230660905482ar_rat > produc8967755806399881310ar_int ) > set_Pr4256460214963601898ar_rat > set_Pr8146363407509552702ar_int ).
thf(func_def_2109,type,
image_9152865675144956669ar_nat: ( produc414006230660905482ar_rat > produc3922234789054302210ar_nat ) > set_Pr4256460214963601898ar_rat > set_Pr1413074515586503650ar_nat ).
thf(func_def_2110,type,
image_5644637116751559941ar_rat: ( produc414006230660905482ar_rat > produc414006230660905482ar_rat ) > set_Pr4256460214963601898ar_rat > set_Pr4256460214963601898ar_rat ).
thf(func_def_2111,type,
image_8036680598759533694r_char: ( produc414006230660905482ar_rat > produc143505574896075907r_char ) > set_Pr4256460214963601898ar_rat > set_Pr3309569728657787619r_char ).
thf(func_def_2112,type,
image_6605449789044937888ar_int: ( produc143505574896075907r_char > produc8967755806399881310ar_int ) > set_Pr3309569728657787619r_char > set_Pr8146363407509552702ar_int ).
thf(func_def_2113,type,
image_1559928771699358788ar_nat: ( produc143505574896075907r_char > produc3922234789054302210ar_nat ) > set_Pr3309569728657787619r_char > set_Pr1413074515586503650ar_nat ).
thf(func_def_2114,type,
image_7275072250160737868ar_rat: ( produc143505574896075907r_char > produc414006230660905482ar_rat ) > set_Pr3309569728657787619r_char > set_Pr4256460214963601898ar_rat ).
thf(func_def_2115,type,
image_7676512070627423941r_char: ( produc143505574896075907r_char > produc143505574896075907r_char ) > set_Pr3309569728657787619r_char > set_Pr3309569728657787619r_char ).
thf(func_def_2116,type,
image_Product_unit_o: ( product_unit > $o ) > set_Product_unit > set_o ).
thf(func_def_2117,type,
image_873079544045703924it_int: ( product_unit > int ) > set_Product_unit > set_int ).
thf(func_def_2118,type,
image_875570014554754200it_nat: ( product_unit > nat ) > set_Product_unit > set_nat ).
thf(func_def_2119,type,
image_405062704495631173t_unit: ( product_unit > product_unit ) > set_Product_unit > set_Product_unit ).
thf(func_def_2120,type,
image_240439954468258464it_rat: ( product_unit > rat ) > set_Product_unit > set_rat ).
thf(func_def_2121,type,
image_6930536745178679216_set_o: ( product_unit > set_o ) > set_Product_unit > set_set_o ).
thf(func_def_2122,type,
image_3995998972318789802et_int: ( product_unit > set_int ) > set_Product_unit > set_set_int ).
thf(func_def_2123,type,
image_8173849991827986510et_nat: ( product_unit > set_nat ) > set_Product_unit > set_set_nat ).
thf(func_def_2124,type,
image_3617315916088684441at_nat: ( product_unit > set_Pr1261947904930325089at_nat ) > set_Product_unit > set_se7855581050983116737at_nat ).
thf(func_def_2125,type,
image_7288820656315755647at_nat: ( product_unit > set_Pr8693737435421807431at_nat ) > set_Product_unit > set_se6425085446898223655at_nat ).
thf(func_def_2126,type,
image_5172358348707908735at_nat: ( product_unit > set_Pr4329608150637261639at_nat ) > set_Product_unit > set_se5479201105039950375at_nat ).
thf(func_def_2127,type,
image_7778121751606633509t_unit: ( product_unit > set_Product_unit ) > set_Product_unit > set_set_Product_unit ).
thf(func_def_2128,type,
image_4665621433434589782et_rat: ( product_unit > set_rat ) > set_Product_unit > set_set_rat ).
thf(func_def_2129,type,
image_5325685772115642575t_char: ( product_unit > set_char ) > set_Product_unit > set_set_char ).
thf(func_def_2130,type,
image_7248553556944771225t_char: ( product_unit > char ) > set_Product_unit > set_char ).
thf(func_def_2131,type,
image_rat_o: ( rat > $o ) > set_rat > set_o ).
thf(func_def_2132,type,
image_rat_int: ( rat > int ) > set_rat > set_int ).
thf(func_def_2133,type,
image_rat_nat: ( rat > nat ) > set_rat > set_nat ).
thf(func_def_2134,type,
image_5997455970908365082nt_int: ( rat > product_prod_int_int ) > set_rat > set_Pr958786334691620121nt_int ).
thf(func_def_2135,type,
image_9175953278516507234at_nat: ( rat > product_prod_nat_nat ) > set_rat > set_Pr1261947904930325089at_nat ).
thf(func_def_2136,type,
image_2327579789247107822t_unit: ( rat > product_unit ) > set_rat > set_Product_unit ).
thf(func_def_2137,type,
image_rat_rat: ( rat > rat ) > set_rat > set_rat ).
thf(func_def_2138,type,
image_rat_set_nat: ( rat > set_nat ) > set_rat > set_set_nat ).
thf(func_def_2139,type,
image_rat_char: ( rat > char ) > set_rat > set_char ).
thf(func_def_2140,type,
image_set_o_o_o: ( set_o > $o > $o ) > set_set_o > set_o_o ).
thf(func_def_2141,type,
image_set_o_o: ( set_o > $o ) > set_set_o > set_o ).
thf(func_def_2142,type,
image_set_o_set_o: ( set_o > set_o ) > set_set_o > set_set_o ).
thf(func_def_2143,type,
image_set_int_int_o: ( set_int > int > $o ) > set_set_int > set_int_o ).
thf(func_def_2144,type,
image_set_int_o: ( set_int > $o ) > set_set_int > set_o ).
thf(func_def_2145,type,
image_524474410958335435et_int: ( set_int > set_int ) > set_set_int > set_set_int ).
thf(func_def_2146,type,
image_4702325430467532143et_nat: ( set_int > set_nat ) > set_set_int > set_set_nat ).
thf(func_def_2147,type,
image_set_nat_nat_o: ( set_nat > nat > $o ) > set_set_nat > set_nat_o ).
thf(func_def_2148,type,
image_set_nat_o: ( set_nat > $o ) > set_set_nat > set_o ).
thf(func_def_2149,type,
image_6369283972875870912t_unit: ( set_nat > product_unit ) > set_set_nat > set_Product_unit ).
thf(func_def_2150,type,
image_3739036796817536367et_int: ( set_nat > set_int ) > set_set_nat > set_set_int ).
thf(func_def_2151,type,
image_7916887816326733075et_nat: ( set_nat > set_nat ) > set_set_nat > set_set_nat ).
thf(func_def_2152,type,
image_6521575952113991828at_nat: ( set_nat > set_Pr1261947904930325089at_nat ) > set_set_nat > set_se7855581050983116737at_nat ).
thf(func_def_2153,type,
image_4408659257933336347et_rat: ( set_nat > set_rat ) > set_set_nat > set_set_rat ).
thf(func_def_2154,type,
image_4446226961036766042_int_o: ( set_Pr958786334691620121nt_int > int > int > $o ) > set_se6260736226359567993nt_int > set_int_int_o ).
thf(func_def_2155,type,
image_701744273176368580_int_o: ( set_Pr958786334691620121nt_int > $o ) > set_se6260736226359567993nt_int > set_o ).
thf(func_def_2156,type,
image_6923511907955291850_nat_o: ( set_Pr1261947904930325089at_nat > nat > nat > $o ) > set_se7855581050983116737at_nat > set_nat_nat_o ).
thf(func_def_2157,type,
image_5253903537071781336_nat_o: ( set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o ) > set_se7855581050983116737at_nat > set_Pr5582243495563764594_nat_o ).
thf(func_def_2158,type,
image_7457375456213313148_nat_o: ( set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat > set_o ).
thf(func_def_2159,type,
image_5853224409075402146et_nat: ( set_Pr1261947904930325089at_nat > set_nat ) > set_se7855581050983116737at_nat > set_set_nat ).
thf(func_def_2160,type,
image_3684629450409544005at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).
thf(func_def_2161,type,
image_6898982319499645995at_nat: ( set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat ) > set_se7855581050983116737at_nat > set_se5479201105039950375at_nat ).
thf(func_def_2162,type,
image_2055017250723459638_num_o: ( set_Pr6200539531224447659at_num > nat > num > $o ) > set_se4826145725398303499at_num > set_nat_num_o ).
thf(func_def_2163,type,
image_1013614488123988933at_nat: ( set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ) > set_se6425085446898223655at_nat > set_se6425085446898223655at_nat ).
thf(func_def_2164,type,
image_4859512832475012440_nat_o: ( set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > $o ) > set_se5479201105039950375at_nat > set_Pr7010166363911110284_nat_o ).
thf(func_def_2165,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_2166,type,
image_3568060456209098518_nat_o: ( set_Pr4329608150637261639at_nat > $o ) > set_se5479201105039950375at_nat > set_o ).
thf(func_def_2167,type,
image_4303274092540115909at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_se5479201105039950375at_nat > set_se5479201105039950375at_nat ).
thf(func_def_2168,type,
image_1124969593608450885at_nat: ( set_Pr4329608150637261639at_nat > set_Pr7459493094073627847at_nat ) > set_se5479201105039950375at_nat > set_se7592288975875140775at_nat ).
thf(func_def_2169,type,
image_5337237954834410540_nat_o: ( set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_se7592288975875140775at_nat > set_se7255092946006855566_nat_o ).
thf(func_def_2170,type,
image_4019945301284682565t_unit: ( set_Product_unit > set_Product_unit ) > set_set_Product_unit > set_set_Product_unit ).
thf(func_def_2171,type,
image_char_o: ( char > $o ) > set_char > set_o ).
thf(func_def_2172,type,
image_char_int: ( char > int ) > set_char > set_int ).
thf(func_def_2173,type,
image_char_nat: ( char > nat ) > set_char > set_nat ).
thf(func_def_2174,type,
image_5204326662208377313nt_int: ( char > product_prod_int_int ) > set_char > set_Pr958786334691620121nt_int ).
thf(func_def_2175,type,
image_8382823969816519465at_nat: ( char > product_prod_nat_nat ) > set_char > set_Pr1261947904930325089at_nat ).
thf(func_def_2176,type,
image_4337914935673063477t_unit: ( char > product_unit ) > set_char > set_Product_unit ).
thf(func_def_2177,type,
image_char_rat: ( char > rat ) > set_char > set_rat ).
thf(func_def_2178,type,
image_char_char: ( char > char ) > set_char > set_char ).
thf(func_def_2179,type,
image_1320371278474632150at_nat: ( sum_sum_nat_nat > nat ) > set_Sum_sum_nat_nat > set_nat ).
thf(func_def_2180,type,
insert_o: $o > set_o > set_o ).
thf(func_def_2181,type,
insert8563697753282147485t_unit: heap_e7401611519738050253t_unit > set_he8644174446132254637t_unit > set_he8644174446132254637t_unit ).
thf(func_def_2182,type,
insert_ref_a: ref_a > set_ref_a > set_ref_a ).
thf(func_def_2183,type,
insert_int: int > set_int > set_int ).
thf(func_def_2184,type,
insert_nat: nat > set_nat > set_nat ).
thf(func_def_2185,type,
insert_num: num > set_num > set_num ).
thf(func_def_2186,type,
insert6201435330877294327od_o_o: product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o ).
thf(func_def_2187,type,
insert7948214739558299847_o_nat: product_prod_o_nat > set_Pr2101469702781467981_o_nat > set_Pr2101469702781467981_o_nat ).
thf(func_def_2188,type,
insert9112848208840649964t_unit: produc3788275437394581276t_unit > set_Pr6671815714118170108t_unit > set_Pr6671815714118170108t_unit ).
thf(func_def_2189,type,
insert5033312907999012233nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).
thf(func_def_2190,type,
insert2233377226759017069_nat_o: product_prod_nat_o > set_Pr3149072824959771635_nat_o > set_Pr3149072824959771635_nat_o ).
thf(func_def_2191,type,
insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2192,type,
insert8920054152555992091at_num: product_prod_nat_num > set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num ).
thf(func_def_2193,type,
insert6804906068341198690t_unit: produc526117512892780850t_unit > set_Pr4334478416066269672t_unit > set_Pr4334478416066269672t_unit ).
thf(func_def_2194,type,
insert5050368324300391991at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_2195,type,
insert5475735164933346999at_nat: produc349518998152878311at_nat > set_Pr553994874890374343at_nat > set_Pr553994874890374343at_nat ).
thf(func_def_2196,type,
insert398606708087465655at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat ).
thf(func_def_2197,type,
insert3586912282507785154unit_o: produc7485711547916492274unit_o > set_Pr5464989305201766866unit_o > set_Pr5464989305201766866unit_o ).
thf(func_def_2198,type,
insert6879346373837673660it_nat: produc600557818389255820it_nat > set_Pr1763845938948868674it_nat > set_Pr1763845938948868674it_nat ).
thf(func_def_2199,type,
insert4616891024742550839t_unit: produc8459935480633519975t_unit > set_Pr5094982260447487303t_unit > set_Pr5094982260447487303t_unit ).
thf(func_def_2200,type,
insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2201,type,
insert291458823148189367at_nat: produc1319942482725812455at_nat > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat ).
thf(func_def_2202,type,
insert_Product_unit: product_unit > set_Product_unit > set_Product_unit ).
thf(func_def_2203,type,
insert_rat: rat > set_rat > set_rat ).
thf(func_def_2204,type,
insert9200635055090092081at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).
thf(func_def_2205,type,
insert2290795007606087959at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat > set_se5479201105039950375at_nat ).
thf(func_def_2206,type,
the_elem_int: set_int > int ).
thf(func_def_2207,type,
the_elem_nat: set_nat > nat ).
thf(func_def_2208,type,
the_elem_rat: set_rat > rat ).
thf(func_def_2209,type,
vimage4289680085338140859nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Pr4111642102156807771nteger > set_Co726186806682698383nteger ).
thf(func_def_2210,type,
vimage_o_o: ( $o > $o ) > set_o > set_o ).
thf(func_def_2211,type,
vimage_o_nat: ( $o > nat ) > set_nat > set_o ).
thf(func_def_2212,type,
vimage8945963521958007626od_o_o: ( $o > product_prod_o_o ) > set_Product_prod_o_o > set_o ).
thf(func_def_2213,type,
vimage4304346610107161470_int_o: ( $o > product_prod_int_o ) > set_Pr903927857289325719_int_o > set_o ).
thf(func_def_2214,type,
vimage6125388955539849434_nat_o: ( $o > product_prod_nat_o ) > set_Pr3149072824959771635_nat_o > set_o ).
thf(func_def_2215,type,
vimage4222377557387472176t_unit: ( $o > product_unit ) > set_Product_unit > set_o ).
thf(func_def_2216,type,
vimage_o_rat: ( $o > rat ) > set_rat > set_o ).
thf(func_def_2217,type,
vimage_o_char: ( $o > char ) > set_char > set_o ).
thf(func_def_2218,type,
vimage6029918387083761651nteger: ( code_integer > code_integer > code_integer ) > set_Co726186806682698383nteger > set_Code_integer ).
thf(func_def_2219,type,
vimage6839621282666897215nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Pr4111642102156807771nteger > set_Code_integer ).
thf(func_def_2220,type,
vimage_int_int: ( int > int ) > set_int > set_int ).
thf(func_def_2221,type,
vimage_int_nat: ( int > nat ) > set_nat > set_int ).
thf(func_def_2222,type,
vimage_int_num: ( int > num ) > set_num > set_int ).
thf(func_def_2223,type,
vimage7872673496510460816nt_int: ( int > product_prod_int_int ) > set_Pr958786334691620121nt_int > set_int ).
thf(func_def_2224,type,
vimage1827798767263827160at_nat: ( int > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_int ).
thf(func_def_2225,type,
vimage8527374361057053988at_nat: ( list_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_list_nat ).
thf(func_def_2226,type,
vimage_nat_o: ( nat > $o ) > set_o > set_nat ).
thf(func_def_2227,type,
vimage_nat_int: ( nat > int ) > set_int > set_nat ).
thf(func_def_2228,type,
vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_2229,type,
vimage_nat_num: ( nat > num ) > set_num > set_nat ).
thf(func_def_2230,type,
vimage5656379182745576100_o_nat: ( nat > product_prod_o_nat ) > set_Pr2101469702781467981_o_nat > set_nat ).
thf(func_def_2231,type,
vimage9012682431555523728nt_nat: ( nat > product_prod_int_nat ) > set_Pr3448869479623346877nt_nat > set_nat ).
thf(func_def_2232,type,
vimage8013328719654469172at_nat: ( nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_nat ).
thf(func_def_2233,type,
vimage6435164912253009178at_nat: ( nat > produc3843707927480180839at_nat ) > set_Pr4329608150637261639at_nat > set_nat ).
thf(func_def_2234,type,
vimage4884490618288580032t_unit: ( nat > product_unit ) > set_Product_unit > set_nat ).
thf(func_def_2235,type,
vimage_nat_rat: ( nat > rat ) > set_rat > set_nat ).
thf(func_def_2236,type,
vimage_nat_char: ( nat > char ) > set_char > set_nat ).
thf(func_def_2237,type,
vimage5436458796434496692at_num: ( num > product_prod_nat_num ) > set_Pr6200539531224447659at_num > set_num ).
thf(func_def_2238,type,
vimage6116673589273818795t_unit: ( produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ) > set_he8644174446132254637t_unit > set_Pr1133966238863718811t_unit ).
thf(func_def_2239,type,
vimage2910454108108208703_ref_a: ( produc7812382424243267045t_unit > ref_a ) > set_ref_a > set_Pr1133966238863718811t_unit ).
thf(func_def_2240,type,
vimage2444243245536687506_nat_o: ( product_prod_nat_nat > $o ) > set_o > set_Pr1261947904930325089at_nat ).
thf(func_def_2241,type,
vimage1024995831485383111t_unit: ( product_prod_nat_nat > heap_e7401611519738050253t_unit ) > set_he8644174446132254637t_unit > set_Pr1261947904930325089at_nat ).
thf(func_def_2242,type,
vimage7322659125625010723_ref_a: ( product_prod_nat_nat > ref_a ) > set_ref_a > set_Pr1261947904930325089at_nat ).
thf(func_def_2243,type,
vimage4650790856102703794at_int: ( product_prod_nat_nat > int ) > set_int > set_Pr1261947904930325089at_nat ).
thf(func_def_2244,type,
vimage4653281326611754070at_nat: ( product_prod_nat_nat > nat ) > set_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2245,type,
vimage4308919176130087787t_unit: ( product_prod_nat_nat > produc7812382424243267045t_unit ) > set_Pr1133966238863718811t_unit > set_Pr1261947904930325089at_nat ).
thf(func_def_2246,type,
vimage2449269961533847803at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2247,type,
vimage3104651464403166471t_unit: ( product_prod_nat_nat > product_unit ) > set_Product_unit > set_Pr1261947904930325089at_nat ).
thf(func_def_2248,type,
vimage8808348054653608838unit_o: ( product_unit > $o ) > set_o > set_Product_unit ).
thf(func_def_2249,type,
vimage6253328473476588386it_nat: ( product_unit > nat ) > set_nat > set_Product_unit ).
thf(func_def_2250,type,
vimage508909887551888138t_unit: ( product_unit > produc3788275437394581276t_unit ) > set_Pr6671815714118170108t_unit > set_Product_unit ).
thf(func_def_2251,type,
vimage4422279681566046568t_unit: ( product_unit > produc6865911496949736918t_unit ) > set_Pr5889264611543340172t_unit > set_Product_unit ).
thf(func_def_2252,type,
vimage7305857734363866308t_unit: ( product_unit > produc526117512892780850t_unit ) > set_Pr4334478416066269672t_unit > set_Product_unit ).
thf(func_def_2253,type,
vimage7995052115951654139t_unit: ( product_unit > product_unit ) > set_Product_unit > set_Product_unit ).
thf(func_def_2254,type,
vimage5618198413390092650it_rat: ( product_unit > rat ) > set_rat > set_Product_unit ).
thf(func_def_2255,type,
vimage2648087219933717859t_char: ( product_unit > char ) > set_char > set_Product_unit ).
thf(func_def_2256,type,
vimage_rat_int: ( rat > int ) > set_int > set_rat ).
thf(func_def_2257,type,
vimage_rat_nat: ( rat > nat ) > set_nat > set_rat ).
thf(func_def_2258,type,
vimage2119786153496215084at_nat: ( rat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_rat ).
thf(func_def_2259,type,
vimage_rat_rat: ( rat > rat ) > set_rat > set_rat ).
thf(func_def_2260,type,
vimage_rat_char: ( rat > char ) > set_char > set_rat ).
thf(func_def_2261,type,
vimage_char_int: ( char > int ) > set_int > set_char ).
thf(func_def_2262,type,
vimage_char_nat: ( char > nat ) > set_nat > set_char ).
thf(func_def_2263,type,
vimage8942442433166402803at_nat: ( char > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_char ).
thf(func_def_2264,type,
vimage_char_rat: ( char > rat ) > set_rat > set_char ).
thf(func_def_2265,type,
vimage_char_char: ( char > char ) > set_char > set_char ).
thf(func_def_2266,type,
set_or1266510415728281911st_int: int > int > set_int ).
thf(func_def_2267,type,
set_or1269000886237332187st_nat: nat > nat > set_nat ).
thf(func_def_2268,type,
set_or4662586982721622107an_int: int > int > set_int ).
thf(func_def_2269,type,
set_or4665077453230672383an_nat: nat > nat > set_nat ).
thf(func_def_2270,type,
set_ord_atLeast_nat: nat > set_nat ).
thf(func_def_2271,type,
set_ord_atMost_nat: nat > set_nat ).
thf(func_def_2272,type,
set_or1210151606488870762an_nat: nat > set_nat ).
thf(func_def_2273,type,
set_ord_lessThan_nat: nat > set_nat ).
thf(func_def_2274,type,
comm_s629917340098488124ar_nat: char > nat ).
thf(func_def_2275,type,
unique3096191561947761185of_nat: nat > char ).
thf(func_def_2276,type,
left_t2884206969071330nteger: ( code_integer > code_integer > $o ) > $o ).
thf(func_def_2277,type,
left_t1735413524555719857er_int: ( code_integer > int > $o ) > $o ).
thf(func_def_2278,type,
left_t2374113004080657585nteger: ( int > code_integer > $o ) > $o ).
thf(func_def_2279,type,
left_total_int_int: ( int > int > $o ) > $o ).
thf(func_def_2280,type,
left_t8261381459436684205at_nat: ( int > product_prod_nat_nat > $o ) > $o ).
thf(func_def_2281,type,
left_t1861001511420785031at_int: ( product_prod_nat_nat > int > $o ) > $o ).
thf(func_def_2282,type,
left_t5646938096895998950at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
thf(func_def_2283,type,
left_u6156896403773009178er_int: ( code_integer > int > $o ) > $o ).
thf(func_def_2284,type,
left_u6795595883297946906nteger: ( int > code_integer > $o ) > $o ).
thf(func_def_2285,type,
left_unique_int_int: ( int > int > $o ) > $o ).
thf(func_def_2286,type,
left_u1182257597767569412at_nat: ( int > product_prod_nat_nat > $o ) > $o ).
thf(func_def_2287,type,
left_unique_nat_nat: ( nat > nat > $o ) > $o ).
thf(func_def_2288,type,
left_unique_num_num: ( num > num > $o ) > $o ).
thf(func_def_2289,type,
left_u4005249686606446046at_int: ( product_prod_nat_nat > int > $o ) > $o ).
thf(func_def_2290,type,
left_u7296345956935681743at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
thf(func_def_2291,type,
right_7281159819619925802nteger: ( int > code_integer > $o ) > $o ).
thf(func_def_2292,type,
right_total_int_int: ( int > int > $o ) > $o ).
thf(func_def_2293,type,
right_total_nat_nat: ( nat > nat > $o ) > $o ).
thf(func_def_2294,type,
right_total_num_num: ( num > num > $o ) > $o ).
thf(func_def_2295,type,
right_1157779049177982926at_int: ( product_prod_nat_nat > int > $o ) > $o ).
thf(func_def_2296,type,
right_4094035864313884895at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
thf(func_def_2297,type,
right_5866438497372881682nteger: ( code_integer > code_integer > $o ) > $o ).
thf(func_def_2298,type,
right_7836862732553076961er_int: ( code_integer > int > $o ) > $o ).
thf(func_def_2299,type,
right_8475562212078014689nteger: ( int > code_integer > $o ) > $o ).
thf(func_def_2300,type,
right_unique_int_int: ( int > int > $o ) > $o ).
thf(func_def_2301,type,
right_8621877368619751767at_int: ( product_prod_nat_nat > int > $o ) > $o ).
thf(func_def_2302,type,
right_1383565826979811350at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
thf(func_def_2303,type,
type_definition_o_o: ( $o > $o ) > ( $o > $o ) > set_o > $o ).
thf(func_def_2304,type,
type_d7121381646445849148_o_nat: ( $o > nat ) > ( nat > $o ) > set_nat > $o ).
thf(func_def_2305,type,
type_d3678713432601627782_o_num: ( $o > num ) > ( num > $o ) > set_num > $o ).
thf(func_def_2306,type,
type_d6486251586359353412_o_rat: ( $o > rat ) > ( rat > $o ) > set_rat > $o ).
thf(func_def_2307,type,
type_d9076672964931703357o_char: ( $o > char ) > ( char > $o ) > set_char > $o ).
thf(func_def_2308,type,
type_d8403010662121346494_int_o: ( int > $o ) > ( $o > int ) > set_o > $o ).
thf(func_def_2309,type,
type_d7247357190169752966nt_int: ( int > int ) > ( int > int ) > set_int > $o ).
thf(func_def_2310,type,
type_d7249847660678803242nt_nat: ( int > nat ) > ( nat > int ) > set_nat > $o ).
thf(func_def_2311,type,
type_d7732240953928457511at_nat: ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_2312,type,
type_d1000680970699258650_nat_o: ( nat > $o ) > ( $o > nat ) > set_o > $o ).
thf(func_def_2313,type,
type_d6248003478268698410at_int: ( nat > int ) > ( int > nat ) > set_int > $o ).
thf(func_def_2314,type,
type_d6250493948777748686at_nat: ( nat > nat ) > ( nat > nat ) > set_nat > $o ).
thf(func_def_2315,type,
type_d2807825734933527320at_num: ( nat > num ) > ( num > nat ) > set_num > $o ).
thf(func_def_2316,type,
type_d5615363888691252950at_rat: ( nat > rat ) > ( rat > nat ) > set_rat > $o ).
thf(func_def_2317,type,
type_d5945782884131516111t_char: ( nat > char ) > ( char > nat ) > set_char > $o ).
thf(func_def_2318,type,
type_d9070036042389994064_num_o: ( num > $o ) > ( $o > num ) > set_o > $o ).
thf(func_def_2319,type,
type_d4380824352085218072um_nat: ( num > nat ) > ( nat > num ) > set_nat > $o ).
thf(func_def_2320,type,
type_d938156138240996706um_num: ( num > num ) > ( num > num ) > set_num > $o ).
thf(func_def_2321,type,
type_d3745694291998722336um_rat: ( num > rat ) > ( rat > num ) > set_rat > $o ).
thf(func_def_2322,type,
type_d4396077731765706521m_char: ( num > char ) > ( char > num ) > set_char > $o ).
thf(func_def_2323,type,
type_d1331861005912558337at_int: ( product_prod_nat_nat > int ) > ( int > product_prod_nat_nat ) > set_int > $o ).
thf(func_def_2324,type,
type_d281131942595027436at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_2325,type,
type_d6188575255521822967unit_o: ( product_unit > $o ) > ( $o > product_unit ) > set_o > $o ).
thf(func_def_2326,type,
type_d5933939304842882774at_nat: ( rat > nat ) > ( nat > rat ) > set_nat > $o ).
thf(func_def_2327,type,
accp_nat: ( nat > nat > $o ) > nat > $o ).
thf(func_def_2328,type,
less_than: set_Pr1261947904930325089at_nat ).
thf(func_def_2329,type,
lex_prod_nat_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat ).
thf(func_def_2330,type,
max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2331,type,
min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2332,type,
pred_nat: set_Pr1261947904930325089at_nat ).
thf(func_def_2333,type,
wf_nat: set_Pr1261947904930325089at_nat > $o ).
thf(func_def_2334,type,
wf_Pro7803398752247294826at_nat: set_Pr8693737435421807431at_nat > $o ).
thf(func_def_2335,type,
member_o_o: ( $o > $o ) > set_o_o > $o ).
thf(func_def_2336,type,
member_o_nat: ( $o > nat ) > set_o_nat > $o ).
thf(func_def_2337,type,
member2370919827131729009t_unit: ( $o > product_unit ) > set_o_Product_unit > $o ).
thf(func_def_2338,type,
member2790140394383616496nteger: ( code_integer > code_integer ) > set_Co726186806682698383nteger > $o ).
thf(func_def_2339,type,
member254662033361028077nt_int: ( int > product_prod_int_int ) > set_in6154042108061588260nt_int > $o ).
thf(func_def_2340,type,
member557823603599733045at_nat: ( int > product_prod_nat_nat ) > set_in7748886932685137004at_nat > $o ).
thf(func_def_2341,type,
member7514810323860029129um_num: ( int > product_prod_num_num ) > set_in3169746454734514176um_num > $o ).
thf(func_def_2342,type,
member3963856813518191233at_nat: ( list_nat > product_prod_nat_nat ) > set_li2168235667650531768at_nat > $o ).
thf(func_def_2343,type,
member_nat_int: ( nat > int ) > set_nat_int > $o ).
thf(func_def_2344,type,
member6440191985751670089nt_int: ( nat > product_prod_int_int ) > set_na7251125088705586816nt_int > $o ).
thf(func_def_2345,type,
member6743353555990375057at_nat: ( nat > product_prod_nat_nat ) > set_na8845969913329135560at_nat > $o ).
thf(func_def_2346,type,
member_rat_o: ( rat > $o ) > set_rat_o > $o ).
thf(func_def_2347,type,
member_rat_nat: ( rat > nat ) > set_rat_nat > $o ).
thf(func_def_2348,type,
member546649419593416001nt_int: ( rat > product_prod_int_int ) > set_ra518564293221149304nt_int > $o ).
thf(func_def_2349,type,
member849810989832120969at_nat: ( rat > product_prod_nat_nat ) > set_ra2113409117844698048at_nat > $o ).
thf(func_def_2350,type,
member7011034171605722901t_unit: ( rat > product_unit ) > set_rat_Product_unit > $o ).
thf(func_def_2351,type,
member_char_o: ( char > $o ) > set_char_o > $o ).
thf(func_def_2352,type,
member_char_nat: ( char > nat ) > set_char_nat > $o ).
thf(func_def_2353,type,
member2992454361780672008nt_int: ( char > product_prod_int_int ) > set_ch6383161263842509759nt_int > $o ).
thf(func_def_2354,type,
member3295615932019376976at_nat: ( char > product_prod_nat_nat ) > set_ch7978006088466058503at_nat > $o ).
thf(func_def_2355,type,
member379592906918970460t_unit: ( char > product_unit ) > set_ch7814610555394875923t_unit > $o ).
thf(func_def_2356,type,
member_o: $o > set_o > $o ).
thf(func_def_2357,type,
member_Code_integer: code_integer > set_Code_integer > $o ).
thf(func_def_2358,type,
member242389114213480694t_unit: heap_e7401611519738050253t_unit > set_he8644174446132254637t_unit > $o ).
thf(func_def_2359,type,
member_ref_a: ref_a > set_ref_a > $o ).
thf(func_def_2360,type,
member_int: int > set_int > $o ).
thf(func_def_2361,type,
member_nat: nat > set_nat > $o ).
thf(func_def_2362,type,
member_num: num > set_num > $o ).
thf(func_def_2363,type,
member7466972457876170832od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).
thf(func_def_2364,type,
member7847949116333733898_o_int: product_prod_o_int > set_Pr8834758594704517033_o_int > $o ).
thf(func_def_2365,type,
member2802428098988154798_o_nat: product_prod_o_nat > set_Pr2101469702781467981_o_nat > $o ).
thf(func_def_2366,type,
member7849944260330398460t_unit: produc7812382424243267045t_unit > set_Pr1133966238863718811t_unit > $o ).
thf(func_def_2367,type,
member4489920277610959864_int_o: product_prod_int_o > set_Pr903927857289325719_int_o > $o ).
thf(func_def_2368,type,
member4345257455949424659nteger: produc2963269191615333738nteger > set_Pr8415741480598773322nteger > $o ).
thf(func_def_2369,type,
member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_2370,type,
member216504246829706758nt_nat: product_prod_int_nat > set_Pr3448869479623346877nt_nat > $o ).
thf(func_def_2371,type,
member6310962623043647828_nat_o: product_prod_nat_o > set_Pr3149072824959771635_nat_o > $o ).
thf(func_def_2372,type,
member4262671552274231302at_int: product_prod_nat_int > set_Pr7995236796853374141at_int > $o ).
thf(func_def_2373,type,
member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_2374,type,
member9148766508732265716at_num: product_prod_nat_num > set_Pr6200539531224447659at_num > $o ).
thf(func_def_2375,type,
member6570852975090897396um_nat: product_prod_num_nat > set_Pr3280342998896498603um_nat > $o ).
thf(func_def_2376,type,
member8566619992076573584nt_int: produc1219242969750017639nt_int > set_Pr2560585780119916871nt_int > $o ).
thf(func_def_2377,type,
member2200362271989506215_nat_o: produc652263959640188542_nat_o > set_Pr6558897299634722526_nat_o > $o ).
thf(func_def_2378,type,
member8394280151737582451at_int: produc4196048018000912732at_int > set_Pr49084382684228242at_int > $o ).
thf(func_def_2379,type,
member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_2380,type,
member6009668390874684176at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > $o ).
thf(func_def_2381,type,
member7821138191923116944t_unit: produc8459935480633519975t_unit > set_Pr5094982260447487303t_unit > $o ).
thf(func_def_2382,type,
member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_2383,type,
member1466754251312161552at_nat: produc1319942482725812455at_nat > set_Pr7459493094073627847at_nat > $o ).
thf(func_def_2384,type,
member_Product_unit: product_unit > set_Product_unit > $o ).
thf(func_def_2385,type,
member_rat: rat > set_rat > $o ).
thf(func_def_2386,type,
member_set_o: set_o > set_set_o > $o ).
thf(func_def_2387,type,
member_set_int: set_int > set_set_int > $o ).
thf(func_def_2388,type,
member_set_nat: set_nat > set_set_nat > $o ).
thf(func_def_2389,type,
member2643936169264416010at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > $o ).
thf(func_def_2390,type,
member6273874620674182256at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat > $o ).
thf(func_def_2391,type,
member5877623283571906838t_unit: set_Product_unit > set_set_Product_unit > $o ).
thf(func_def_2392,type,
member_char: char > set_char > $o ).
thf(func_def_2393,type,
h: heap_e7401611519738050253t_unit ).
thf(func_def_2394,type,
h2: heap_e7401611519738050253t_unit ).
thf(func_def_2395,type,
r: ref_a ).
thf(func_def_2396,type,
thesis: $o ).
thf(func_def_2397,type,
x: a ).
thf(func_def_2399,type,
vNOT: $o > $o ).
thf(func_def_2402,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_2403,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_2404,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_2405,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_2406,type,
vAND: $o > $o > $o ).
thf(func_def_2407,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_2408,type,
vIMP: $o > $o > $o ).
thf(func_def_2409,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_2410,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_2411,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_2412,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_2413,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_2414,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_2415,type,
vOR: $o > $o > $o ).
thf(func_def_2416,type,
sP0: nat > list_nat > $o ).
thf(func_def_2417,type,
sK1: ( heap_e7401611519738050253t_unit > ref_a > $o ) > ref_a ).
thf(func_def_2418,type,
sK2: ( heap_e7401611519738050253t_unit > ref_a > $o ) > heap_e7401611519738050253t_unit ).
thf(func_def_2419,type,
sK3: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2420,type,
sK4: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2421,type,
sK5: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2422,type,
sK6: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2423,type,
sK7: product_prod_nat_num > nat ).
thf(func_def_2424,type,
sK8: product_prod_nat_num > num ).
thf(func_def_2425,type,
sK9: product_prod_nat_nat > nat ).
thf(func_def_2426,type,
sK10: product_prod_nat_nat > nat ).
thf(func_def_2427,type,
sK11: product_prod_int_int > int ).
thf(func_def_2428,type,
sK12: product_prod_int_int > int ).
thf(func_def_2429,type,
sK13: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2430,type,
sK14: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2431,type,
sK15: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2432,type,
sK16: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2433,type,
sK17: product_prod_nat_num > nat ).
thf(func_def_2434,type,
sK18: product_prod_nat_num > num ).
thf(func_def_2435,type,
sK19: product_prod_nat_nat > nat ).
thf(func_def_2436,type,
sK20: product_prod_nat_nat > nat ).
thf(func_def_2437,type,
sK21: product_prod_int_int > int ).
thf(func_def_2438,type,
sK22: product_prod_int_int > int ).
thf(func_def_2439,type,
sK23: ( produc1319942482725812455at_nat > $o ) > set_Pr4329608150637261639at_nat ).
thf(func_def_2440,type,
sK24: ( produc1319942482725812455at_nat > $o ) > set_Pr4329608150637261639at_nat ).
thf(func_def_2441,type,
sK25: ( produc3843707927480180839at_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_2442,type,
sK26: ( produc3843707927480180839at_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_2443,type,
sK27: ( product_prod_nat_num > $o ) > nat ).
thf(func_def_2444,type,
sK28: ( product_prod_nat_num > $o ) > num ).
thf(func_def_2445,type,
sK29: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_2446,type,
sK30: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_2447,type,
sK31: ( product_prod_int_int > $o ) > int ).
thf(func_def_2448,type,
sK32: ( product_prod_int_int > $o ) > int ).
thf(func_def_2449,type,
sK33: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_2450,type,
sK34: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_2451,type,
sK35: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int ).
thf(func_def_2452,type,
sK36: product_prod_nat_num > ( nat > num > set_o ) > $o > nat ).
thf(func_def_2453,type,
sK37: product_prod_nat_num > ( nat > num > set_o ) > $o > num ).
thf(func_def_2454,type,
sK38: product_prod_nat_num > ( nat > num > set_nat ) > nat > nat ).
thf(func_def_2455,type,
sK39: product_prod_nat_num > ( nat > num > set_nat ) > nat > num ).
thf(func_def_2456,type,
sK40: product_prod_nat_num > ( nat > num > set_int ) > int > nat ).
thf(func_def_2457,type,
sK41: product_prod_nat_num > ( nat > num > set_int ) > int > num ).
thf(func_def_2458,type,
sK42: product_prod_nat_nat > ( nat > nat > set_o ) > $o > nat ).
thf(func_def_2459,type,
sK43: product_prod_nat_nat > ( nat > nat > set_o ) > $o > nat ).
thf(func_def_2460,type,
sK44: product_prod_nat_nat > ( nat > nat > set_nat ) > nat > nat ).
thf(func_def_2461,type,
sK45: product_prod_nat_nat > ( nat > nat > set_nat ) > nat > nat ).
thf(func_def_2462,type,
sK46: product_prod_nat_nat > ( nat > nat > set_int ) > int > nat ).
thf(func_def_2463,type,
sK47: product_prod_nat_nat > ( nat > nat > set_int ) > int > nat ).
thf(func_def_2464,type,
sK48: product_prod_int_int > ( int > int > set_o ) > $o > int ).
thf(func_def_2465,type,
sK49: product_prod_int_int > ( int > int > set_o ) > $o > int ).
thf(func_def_2466,type,
sK50: product_prod_int_int > ( int > int > set_nat ) > nat > int ).
thf(func_def_2467,type,
sK51: product_prod_int_int > ( int > int > set_nat ) > nat > int ).
thf(func_def_2468,type,
sK52: product_prod_int_int > ( int > int > set_int ) > int > int ).
thf(func_def_2469,type,
sK53: product_prod_int_int > ( int > int > set_int ) > int > int ).
thf(func_def_2470,type,
sK54: product_prod_nat_num > ( nat > num > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > nat ).
thf(func_def_2471,type,
sK55: product_prod_nat_num > ( nat > num > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > num ).
thf(func_def_2472,type,
sK56: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > nat ).
thf(func_def_2473,type,
sK57: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > nat ).
thf(func_def_2474,type,
sK58: ( nat > nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).
thf(func_def_2475,type,
sK59: ( nat > nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).
thf(func_def_2476,type,
sK60: ( int > int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > product_prod_int_int > int ).
thf(func_def_2477,type,
sK61: ( int > int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > product_prod_int_int > int ).
thf(func_def_2478,type,
sK62: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > int ).
thf(func_def_2479,type,
sK63: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > int ).
thf(func_def_2480,type,
sK64: ( int > int > int ) > ( int > int > int ) > product_prod_int_int > int ).
thf(func_def_2481,type,
sK65: ( int > int > int ) > ( int > int > int ) > product_prod_int_int > int ).
thf(func_def_2482,type,
sK66: ref_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > ( ref_a > heap_Heap_ref_a ) > heap_Heap_ref_a > heap_e7401611519738050253t_unit ).
thf(func_def_2483,type,
sK67: ref_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > ( ref_a > heap_Heap_ref_a ) > heap_Heap_ref_a > ref_a ).
thf(func_def_2484,type,
sK68: ( nat > nat > $o ) > ( nat > nat > $o ) > set_nat > set_nat > nat ).
thf(func_def_2485,type,
sK69: ( nat > nat > $o ) > ( nat > nat > $o ) > set_nat > set_nat > nat ).
thf(func_def_2486,type,
sK70: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( ref_a > heap_e7401611519738050253t_unit > $o ) > set_he8644174446132254637t_unit > set_ref_a > ref_a ).
thf(func_def_2487,type,
sK71: ( ref_a > heap_e7401611519738050253t_unit > $o ) > ( ref_a > heap_e7401611519738050253t_unit > $o ) > set_he8644174446132254637t_unit > set_ref_a > heap_e7401611519738050253t_unit ).
thf(func_def_2488,type,
sK72: ( int > int > $o ) > ( int > int > $o ) > set_int > set_int > int ).
thf(func_def_2489,type,
sK73: ( int > int > $o ) > ( int > int > $o ) > set_int > set_int > int ).
thf(func_def_2490,type,
sK74: set_nat > ( nat > rat ) > set_rat > set_nat ).
thf(func_def_2491,type,
sK75: set_nat > ( nat > nat ) > set_nat > set_nat ).
thf(func_def_2492,type,
sK76: set_nat > ( nat > int ) > set_int > set_nat ).
thf(func_def_2493,type,
sK77: set_int > ( int > nat ) > set_nat > set_int ).
thf(func_def_2494,type,
sK78: set_int > ( int > int ) > set_int > set_int ).
thf(func_def_2495,type,
sK79: set_o > ( $o > $o ) > set_o > $o ).
thf(func_def_2496,type,
sK80: set_nat > ( $o > nat ) > set_o > $o ).
thf(func_def_2497,type,
sK81: set_int > ( $o > int ) > set_o > $o ).
thf(func_def_2498,type,
sK82: set_rat > ( nat > rat ) > set_nat > nat ).
thf(func_def_2499,type,
sK83: set_o > ( nat > $o ) > set_nat > nat ).
thf(func_def_2500,type,
sK84: set_nat > ( nat > nat ) > set_nat > nat ).
thf(func_def_2501,type,
sK85: set_int > ( nat > int ) > set_nat > nat ).
thf(func_def_2502,type,
sK86: set_o > ( int > $o ) > set_int > int ).
thf(func_def_2503,type,
sK87: set_nat > ( int > nat ) > set_int > int ).
thf(func_def_2504,type,
sK88: set_int > ( int > int ) > set_int > int ).
thf(func_def_2505,type,
sK89: set_Pr6200539531224447659at_num > ( num > num ) > ( nat > nat ) > product_prod_nat_num > nat ).
thf(func_def_2506,type,
sK90: set_Pr6200539531224447659at_num > ( num > num ) > ( nat > nat ) > product_prod_nat_num > num ).
thf(func_def_2507,type,
sK91: set_Pr1261947904930325089at_nat > ( nat > num ) > ( nat > nat ) > product_prod_nat_num > nat ).
thf(func_def_2508,type,
sK92: set_Pr1261947904930325089at_nat > ( nat > num ) > ( nat > nat ) > product_prod_nat_num > nat ).
thf(func_def_2509,type,
sK93: set_Pr958786334691620121nt_int > ( int > num ) > ( int > nat ) > product_prod_nat_num > int ).
thf(func_def_2510,type,
sK94: set_Pr958786334691620121nt_int > ( int > num ) > ( int > nat ) > product_prod_nat_num > int ).
thf(func_def_2511,type,
sK95: set_Pr6200539531224447659at_num > ( num > nat ) > ( nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_2512,type,
sK96: set_Pr6200539531224447659at_num > ( num > nat ) > ( nat > nat ) > product_prod_nat_nat > num ).
thf(func_def_2513,type,
sK97: set_Pr1261947904930325089at_nat > ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_2514,type,
sK98: set_Pr1261947904930325089at_nat > ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_2515,type,
sK99: set_Pr958786334691620121nt_int > ( int > nat ) > ( int > nat ) > product_prod_nat_nat > int ).
thf(func_def_2516,type,
sK100: set_Pr958786334691620121nt_int > ( int > nat ) > ( int > nat ) > product_prod_nat_nat > int ).
thf(func_def_2517,type,
sK101: set_Pr6200539531224447659at_num > ( num > int ) > ( nat > int ) > product_prod_int_int > nat ).
thf(func_def_2518,type,
sK102: set_Pr6200539531224447659at_num > ( num > int ) > ( nat > int ) > product_prod_int_int > num ).
thf(func_def_2519,type,
sK103: set_Pr1261947904930325089at_nat > ( nat > int ) > ( nat > int ) > product_prod_int_int > nat ).
thf(func_def_2520,type,
sK104: set_Pr1261947904930325089at_nat > ( nat > int ) > ( nat > int ) > product_prod_int_int > nat ).
thf(func_def_2521,type,
sK105: set_Pr958786334691620121nt_int > ( int > int ) > ( int > int ) > product_prod_int_int > int ).
thf(func_def_2522,type,
sK106: set_Pr958786334691620121nt_int > ( int > int ) > ( int > int ) > product_prod_int_int > int ).
thf(func_def_2523,type,
sK107: set_Pr6200539531224447659at_num > ( num > set_Pr1261947904930325089at_nat ) > ( nat > set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat > nat ).
thf(func_def_2524,type,
sK108: set_Pr6200539531224447659at_num > ( num > set_Pr1261947904930325089at_nat ) > ( nat > set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat > num ).
thf(func_def_2525,type,
sK109: ( rat > $o ) > set_nat > ( nat > rat ) > rat ).
thf(func_def_2526,type,
sK110: ( nat > $o ) > set_nat > ( nat > nat ) > nat ).
thf(func_def_2527,type,
sK111: ( int > $o ) > set_nat > ( nat > int ) > int ).
thf(func_def_2528,type,
sK112: ( nat > $o ) > set_int > ( int > nat ) > nat ).
thf(func_def_2529,type,
sK113: ( int > $o ) > set_int > ( int > int ) > int ).
thf(func_def_2530,type,
sK114: ( nat > rat ) > ( nat > rat ) > set_nat > nat ).
thf(func_def_2531,type,
sK115: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_2532,type,
sK116: ( nat > int ) > ( nat > int ) > set_nat > nat ).
thf(func_def_2533,type,
sK117: ( int > nat ) > ( int > nat ) > set_int > int ).
thf(func_def_2534,type,
sK118: ( int > int ) > ( int > int ) > set_int > int ).
thf(func_def_2535,type,
sK119: ( rat > $o ) > set_nat > ( nat > rat ) > nat ).
thf(func_def_2536,type,
sK120: ( nat > $o ) > set_nat > ( nat > nat ) > nat ).
thf(func_def_2537,type,
sK121: ( int > $o ) > set_nat > ( nat > int ) > nat ).
thf(func_def_2538,type,
sK122: ( nat > $o ) > set_int > ( int > nat ) > int ).
thf(func_def_2539,type,
sK123: ( int > $o ) > set_int > ( int > int ) > int ).
thf(func_def_2540,type,
sK124: ( nat > rat ) > ( nat > rat ) > set_nat > nat ).
thf(func_def_2541,type,
sK125: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_2542,type,
sK126: ( nat > int ) > ( nat > int ) > set_nat > nat ).
thf(func_def_2543,type,
sK127: ( int > nat ) > ( int > nat ) > set_int > int ).
thf(func_def_2544,type,
sK128: ( int > int ) > ( int > int ) > set_int > int ).
thf(func_def_2545,type,
sK129: ( nat > rat ) > ( nat > rat ) > set_nat > nat ).
thf(func_def_2546,type,
sK130: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_2547,type,
sK131: ( nat > int ) > ( nat > int ) > set_nat > nat ).
thf(func_def_2548,type,
sK132: ( int > nat ) > ( int > nat ) > set_int > int ).
thf(func_def_2549,type,
sK133: ( int > int ) > ( int > int ) > set_int > int ).
thf(func_def_2550,type,
sK134: produc1319942482725812455at_nat > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2551,type,
sK135: produc1319942482725812455at_nat > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2552,type,
sK136: produc3843707927480180839at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2553,type,
sK137: produc3843707927480180839at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2554,type,
sK138: product_prod_nat_num > ( nat > nat ) > product_prod_nat_num > nat ).
thf(func_def_2555,type,
sK139: product_prod_nat_num > ( nat > nat ) > product_prod_nat_num > num ).
thf(func_def_2556,type,
sK140: product_prod_nat_nat > ( nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_2557,type,
sK141: product_prod_nat_nat > ( nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_2558,type,
sK142: product_prod_int_int > ( int > int ) > product_prod_int_int > int ).
thf(func_def_2559,type,
sK143: product_prod_int_int > ( int > int ) > product_prod_int_int > int ).
thf(func_def_2560,type,
sK144: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2561,type,
sK145: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2562,type,
sK146: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2563,type,
sK147: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2564,type,
sK148: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > nat ).
thf(func_def_2565,type,
sK149: set_Pr6200539531224447659at_num > set_Pr6200539531224447659at_num > num ).
thf(func_def_2566,type,
sK150: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat ).
thf(func_def_2567,type,
sK151: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat ).
thf(func_def_2568,type,
sK152: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > int ).
thf(func_def_2569,type,
sK153: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > int ).
thf(func_def_2570,type,
sK154: ( int > nat ) > ( product_prod_nat_nat > nat ) > ( nat > nat > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat ).
thf(func_def_2571,type,
sK155: ( int > nat ) > ( product_prod_nat_nat > nat ) > ( nat > nat > $o ) > ( product_prod_nat_nat > int > $o ) > int ).
thf(func_def_2572,type,
sK156: ( int > int > int ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat ).
thf(func_def_2573,type,
sK157: ( int > int > int ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( product_prod_nat_nat > int > $o ) > int ).
thf(func_def_2574,type,
sK158: ( int > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat ).
thf(func_def_2575,type,
sK159: ( int > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( product_prod_nat_nat > int > $o ) > int ).
thf(func_def_2576,type,
sK160: ( code_integer > num ) > ( int > num ) > ( num > num > $o ) > ( int > code_integer > $o ) > int ).
thf(func_def_2577,type,
sK161: ( code_integer > num ) > ( int > num ) > ( num > num > $o ) > ( int > code_integer > $o ) > code_integer ).
thf(func_def_2578,type,
sK162: ( int > num ) > ( int > num ) > ( num > num > $o ) > ( int > int > $o ) > int ).
thf(func_def_2579,type,
sK163: ( int > num ) > ( int > num ) > ( num > num > $o ) > ( int > int > $o ) > int ).
thf(func_def_2580,type,
sK164: ( nat > nat > $o ) > ( nat > nat > $o ) > nat ).
thf(func_def_2581,type,
sK165: ( nat > nat > $o ) > ( nat > nat > $o ) > nat ).
thf(func_def_2582,type,
sK166: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat ).
thf(func_def_2583,type,
sK167: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > int ).
thf(func_def_2584,type,
sK168: ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_2585,type,
sK169: ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > int > int ).
thf(func_def_2586,type,
sK170: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat ).
thf(func_def_2587,type,
sK171: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > int ).
thf(func_def_2588,type,
sK172: ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > product_prod_nat_nat > $o ).
thf(func_def_2589,type,
sK173: ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > int > $o ).
thf(func_def_2590,type,
sK174: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat ).
thf(func_def_2591,type,
sK175: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > int ).
thf(func_def_2592,type,
sK176: ( num > num > $o ) > ( num > num > $o ) > num ).
thf(func_def_2593,type,
sK177: ( num > num > $o ) > ( num > num > $o ) > num ).
thf(func_def_2594,type,
sK178: ( int > code_integer > $o ) > ( int > code_integer > $o ) > int ).
thf(func_def_2595,type,
sK179: ( int > code_integer > $o ) > ( int > code_integer > $o ) > code_integer ).
thf(func_def_2596,type,
sK180: ( num > num > $o ) > ( num > num > $o ) > num ).
thf(func_def_2597,type,
sK181: ( num > num > $o ) > ( num > num > $o ) > num ).
thf(func_def_2598,type,
sK182: ( int > int > $o ) > ( int > int > $o ) > int ).
thf(func_def_2599,type,
sK183: ( int > int > $o ) > ( int > int > $o ) > int ).
thf(func_def_2600,type,
sK184: ( nat > nat > $o ) > ( nat > nat > $o ) > nat ).
thf(func_def_2601,type,
sK185: ( nat > nat > $o ) > ( nat > nat > $o ) > nat ).
thf(func_def_2602,type,
sK186: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat ).
thf(func_def_2603,type,
sK187: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > int ).
thf(func_def_2604,type,
sK188: ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_2605,type,
sK189: ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > int > int ).
thf(func_def_2606,type,
sK190: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat ).
thf(func_def_2607,type,
sK191: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > int ).
thf(func_def_2608,type,
sK192: ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > product_prod_nat_nat > $o ).
thf(func_def_2609,type,
sK193: ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > int > $o ).
thf(func_def_2610,type,
sK194: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat ).
thf(func_def_2611,type,
sK195: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > int ).
thf(func_def_2612,type,
sK196: ( num > num > $o ) > ( num > num > $o ) > num ).
thf(func_def_2613,type,
sK197: ( num > num > $o ) > ( num > num > $o ) > num ).
thf(func_def_2614,type,
sK198: ( int > code_integer > $o ) > ( int > code_integer > $o ) > int ).
thf(func_def_2615,type,
sK199: ( int > code_integer > $o ) > ( int > code_integer > $o ) > code_integer ).
thf(func_def_2616,type,
sK200: ( num > num > $o ) > ( num > num > $o ) > num ).
thf(func_def_2617,type,
sK201: ( num > num > $o ) > ( num > num > $o ) > num ).
thf(func_def_2618,type,
sK202: ( int > int > $o ) > ( int > int > $o ) > int ).
thf(func_def_2619,type,
sK203: ( int > int > $o ) > ( int > int > $o ) > int ).
thf(func_def_2620,type,
sK204: int > product_prod_nat_nat > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_2621,type,
sK205: code_integer > int > ( int > code_integer > $o ) > ( int > int > $o ) > int ).
thf(func_def_2622,type,
sK206: int > product_prod_nat_nat > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_2623,type,
sK207: code_integer > int > ( int > code_integer > $o ) > ( int > int > $o ) > int ).
thf(func_def_2624,type,
sK208: char > ( char > char ) > char ).
thf(func_def_2625,type,
sK209: rat > ( char > rat ) > char ).
thf(func_def_2626,type,
sK210: nat > ( char > nat ) > char ).
thf(func_def_2627,type,
sK211: int > ( char > int ) > char ).
thf(func_def_2628,type,
sK212: char > ( rat > char ) > rat ).
thf(func_def_2629,type,
sK213: rat > ( rat > rat ) > rat ).
thf(func_def_2630,type,
sK214: nat > ( rat > nat ) > rat ).
thf(func_def_2631,type,
sK215: int > ( rat > int ) > rat ).
thf(func_def_2632,type,
sK216: char > ( nat > char ) > nat ).
thf(func_def_2633,type,
sK217: rat > ( nat > rat ) > nat ).
thf(func_def_2634,type,
sK218: char > ( char > char ) > char ).
thf(func_def_2635,type,
sK219: rat > ( char > rat ) > char ).
thf(func_def_2636,type,
sK220: nat > ( char > nat ) > char ).
thf(func_def_2637,type,
sK221: int > ( char > int ) > char ).
thf(func_def_2638,type,
sK222: char > ( rat > char ) > rat ).
thf(func_def_2639,type,
sK223: rat > ( rat > rat ) > rat ).
thf(func_def_2640,type,
sK224: nat > ( rat > nat ) > rat ).
thf(func_def_2641,type,
sK225: int > ( rat > int ) > rat ).
thf(func_def_2642,type,
sK226: char > ( nat > char ) > nat ).
thf(func_def_2643,type,
sK227: rat > ( nat > rat ) > nat ).
thf(func_def_2644,type,
sK228: ( char > char ) > ( char > char ) > char ).
thf(func_def_2645,type,
sK229: ( rat > char ) > ( char > rat ) > rat ).
thf(func_def_2646,type,
sK230: ( nat > char ) > ( char > nat ) > nat ).
thf(func_def_2647,type,
sK231: ( int > char ) > ( char > int ) > int ).
thf(func_def_2648,type,
sK232: ( char > rat ) > ( rat > char ) > char ).
thf(func_def_2649,type,
sK233: ( rat > rat ) > ( rat > rat ) > rat ).
thf(func_def_2650,type,
sK234: ( nat > rat ) > ( rat > nat ) > nat ).
thf(func_def_2651,type,
sK235: ( int > rat ) > ( rat > int ) > int ).
thf(func_def_2652,type,
sK236: ( char > nat ) > ( nat > char ) > char ).
thf(func_def_2653,type,
sK237: ( rat > nat ) > ( nat > rat ) > rat ).
thf(func_def_2654,type,
sK238: heap_e7401611519738050253t_unit > heap_Heap_ref_a > ref_a ).
thf(func_def_2655,type,
sK239: heap_e7401611519738050253t_unit > heap_Heap_ref_a > heap_e7401611519738050253t_unit ).
thf(func_def_2656,type,
sK240: ( $o > $o > $o ) > ( $o > $o > $o ) > ( char > $o ) > ( char > $o ) > $o ).
thf(func_def_2657,type,
sK241: ( $o > $o > $o ) > ( $o > $o > $o ) > ( char > $o ) > ( char > $o ) > $o ).
thf(func_def_2658,type,
sK242: ( $o > nat > $o ) > ( $o > nat > $o ) > ( char > nat ) > ( char > $o ) > $o ).
thf(func_def_2659,type,
sK243: ( $o > nat > $o ) > ( $o > nat > $o ) > ( char > nat ) > ( char > $o ) > nat ).
thf(func_def_2660,type,
sK244: ( $o > int > $o ) > ( $o > int > $o ) > ( char > int ) > ( char > $o ) > $o ).
thf(func_def_2661,type,
sK245: ( $o > int > $o ) > ( $o > int > $o ) > ( char > int ) > ( char > $o ) > int ).
thf(func_def_2662,type,
sK246: ( nat > $o > $o ) > ( nat > $o > $o ) > ( char > $o ) > ( char > nat ) > nat ).
thf(func_def_2663,type,
sK247: ( nat > $o > $o ) > ( nat > $o > $o ) > ( char > $o ) > ( char > nat ) > $o ).
thf(func_def_2664,type,
sK248: ( nat > nat > $o ) > ( nat > nat > $o ) > ( char > nat ) > ( char > nat ) > nat ).
thf(func_def_2665,type,
sK249: ( nat > nat > $o ) > ( nat > nat > $o ) > ( char > nat ) > ( char > nat ) > nat ).
thf(func_def_2666,type,
sK250: ( nat > int > $o ) > ( nat > int > $o ) > ( char > int ) > ( char > nat ) > nat ).
thf(func_def_2667,type,
sK251: ( nat > int > $o ) > ( nat > int > $o ) > ( char > int ) > ( char > nat ) > int ).
thf(func_def_2668,type,
sK252: ( int > $o > $o ) > ( int > $o > $o ) > ( char > $o ) > ( char > int ) > int ).
thf(func_def_2669,type,
sK253: ( int > $o > $o ) > ( int > $o > $o ) > ( char > $o ) > ( char > int ) > $o ).
thf(func_def_2670,type,
sK254: ( int > nat > $o ) > ( int > nat > $o ) > ( char > nat ) > ( char > int ) > int ).
thf(func_def_2671,type,
sK255: ( int > nat > $o ) > ( int > nat > $o ) > ( char > nat ) > ( char > int ) > nat ).
thf(func_def_2672,type,
sK256: ( int > int > $o ) > ( int > int > $o ) > ( char > int ) > ( char > int ) > int ).
thf(func_def_2673,type,
sK257: ( int > int > $o ) > ( int > int > $o ) > ( char > int ) > ( char > int ) > int ).
thf(func_def_2674,type,
sK258: ( $o > $o > $o ) > ( $o > $o > $o ) > ( rat > $o ) > ( rat > $o ) > $o ).
thf(func_def_2675,type,
sK259: ( $o > $o > $o ) > ( $o > $o > $o ) > ( rat > $o ) > ( rat > $o ) > $o ).
thf(func_def_2676,type,
sK260: ( $o > $o > $o ) > ( char > $o ) > ( char > $o ) > ( $o > $o > $o ) > $o ).
thf(func_def_2677,type,
sK261: ( $o > $o > $o ) > ( char > $o ) > ( char > $o ) > ( $o > $o > $o ) > $o ).
thf(func_def_2678,type,
sK262: ( $o > nat > $o ) > ( char > nat ) > ( char > $o ) > ( $o > nat > $o ) > $o ).
thf(func_def_2679,type,
sK263: ( $o > nat > $o ) > ( char > nat ) > ( char > $o ) > ( $o > nat > $o ) > nat ).
thf(func_def_2680,type,
sK264: ( $o > int > $o ) > ( char > int ) > ( char > $o ) > ( $o > int > $o ) > $o ).
thf(func_def_2681,type,
sK265: ( $o > int > $o ) > ( char > int ) > ( char > $o ) > ( $o > int > $o ) > int ).
thf(func_def_2682,type,
sK266: ( nat > $o > $o ) > ( char > $o ) > ( char > nat ) > ( nat > $o > $o ) > nat ).
thf(func_def_2683,type,
sK267: ( nat > $o > $o ) > ( char > $o ) > ( char > nat ) > ( nat > $o > $o ) > $o ).
thf(func_def_2684,type,
sK268: ( nat > nat > $o ) > ( char > nat ) > ( char > nat ) > ( nat > nat > $o ) > nat ).
thf(func_def_2685,type,
sK269: ( nat > nat > $o ) > ( char > nat ) > ( char > nat ) > ( nat > nat > $o ) > nat ).
thf(func_def_2686,type,
sK270: ( nat > int > $o ) > ( char > int ) > ( char > nat ) > ( nat > int > $o ) > nat ).
thf(func_def_2687,type,
sK271: ( nat > int > $o ) > ( char > int ) > ( char > nat ) > ( nat > int > $o ) > int ).
thf(func_def_2688,type,
sK272: ( int > $o > $o ) > ( char > $o ) > ( char > int ) > ( int > $o > $o ) > int ).
thf(func_def_2689,type,
sK273: ( int > $o > $o ) > ( char > $o ) > ( char > int ) > ( int > $o > $o ) > $o ).
thf(func_def_2690,type,
sK274: ( int > nat > $o ) > ( char > nat ) > ( char > int ) > ( int > nat > $o ) > int ).
thf(func_def_2691,type,
sK275: ( int > nat > $o ) > ( char > nat ) > ( char > int ) > ( int > nat > $o ) > nat ).
thf(func_def_2692,type,
sK276: ( int > int > $o ) > ( char > int ) > ( char > int ) > ( int > int > $o ) > int ).
thf(func_def_2693,type,
sK277: ( int > int > $o ) > ( char > int ) > ( char > int ) > ( int > int > $o ) > int ).
thf(func_def_2694,type,
sK278: ( $o > $o > $o ) > ( rat > $o ) > ( rat > $o ) > ( $o > $o > $o ) > $o ).
thf(func_def_2695,type,
sK279: ( $o > $o > $o ) > ( rat > $o ) > ( rat > $o ) > ( $o > $o > $o ) > $o ).
thf(func_def_2696,type,
sK280: ( $o > $o > $o ) > ( char > $o ) > $o ).
thf(func_def_2697,type,
sK281: ( nat > nat > $o ) > ( char > nat ) > nat ).
thf(func_def_2698,type,
sK282: ( int > int > $o ) > ( char > int ) > int ).
thf(func_def_2699,type,
sK283: ( $o > $o > $o ) > ( rat > $o ) > $o ).
thf(func_def_2700,type,
sK284: ( nat > nat > $o ) > ( rat > nat ) > nat ).
thf(func_def_2701,type,
sK285: ( int > int > $o ) > ( rat > int ) > int ).
thf(func_def_2702,type,
sK286: ( rat > rat > $o ) > ( nat > rat ) > rat ).
thf(func_def_2703,type,
sK287: ( $o > $o > $o ) > ( nat > $o ) > $o ).
thf(func_def_2704,type,
sK288: ( nat > nat > $o ) > ( nat > nat ) > nat ).
thf(func_def_2705,type,
sK289: ( int > int > $o ) > ( nat > int ) > int ).
thf(func_def_2706,type,
sK290: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > code_integer ).
thf(func_def_2707,type,
sK291: ( $o > $o ) > ( $o > $o ) > ( nat > $o ) > $o ).
thf(func_def_2708,type,
sK292: ( nat > nat ) > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_2709,type,
sK293: ( nat > num ) > ( nat > num ) > ( int > nat ) > nat ).
thf(func_def_2710,type,
sK294: ( int > nat ) > ( int > nat ) > ( int > int ) > int ).
thf(func_def_2711,type,
sK295: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > code_integer ).
thf(func_def_2712,type,
sK296: ( $o > $o ) > ( $o > $o ) > ( nat > $o ) > $o ).
thf(func_def_2713,type,
sK297: ( nat > nat ) > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_2714,type,
sK298: ( nat > num ) > ( nat > num ) > ( int > nat ) > nat ).
thf(func_def_2715,type,
sK299: ( int > nat ) > ( int > nat ) > ( int > int ) > int ).
thf(func_def_2716,type,
sK300: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer > code_integer ) > code_integer > code_integer ).
thf(func_def_2717,type,
sK301: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer > code_integer ) > code_integer > code_integer ).
thf(func_def_2718,type,
sK302: ( $o > $o ) > ( $o > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_2719,type,
sK303: ( $o > $o ) > ( $o > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_2720,type,
sK304: ( nat > nat ) > ( nat > nat ) > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_2721,type,
sK305: ( nat > nat ) > ( nat > nat ) > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_2722,type,
sK306: ( nat > num ) > ( nat > num ) > ( int > nat ) > ( int > nat ) > nat ).
thf(func_def_2723,type,
sK307: ( nat > num ) > ( nat > num ) > ( int > nat ) > ( int > nat ) > nat ).
thf(func_def_2724,type,
sK308: ( int > nat ) > ( int > nat ) > ( int > int ) > ( int > int ) > int ).
thf(func_def_2725,type,
sK309: ( int > nat ) > ( int > nat ) > ( int > int ) > ( int > int ) > int ).
thf(func_def_2726,type,
sK310: ( $o > $o ) > ( $o > $o ) > set_nat > ( nat > $o ) > nat ).
thf(func_def_2727,type,
sK311: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > set_Code_integer > ( code_integer > code_integer > code_integer ) > code_integer ).
thf(func_def_2728,type,
sK312: ( nat > nat ) > ( nat > nat ) > set_nat > ( nat > nat ) > nat ).
thf(func_def_2729,type,
sK313: ( nat > num ) > ( nat > num ) > set_int > ( int > nat ) > int ).
thf(func_def_2730,type,
sK314: ( int > nat ) > ( int > nat ) > set_int > ( int > int ) > int ).
thf(func_def_2731,type,
sK315: ( rat > rat ) > ( rat > rat ) > rat ).
thf(func_def_2732,type,
sK316: ( nat > rat ) > ( rat > nat ) > rat ).
thf(func_def_2733,type,
sK317: ( int > rat ) > ( rat > int ) > rat ).
thf(func_def_2734,type,
sK318: ( rat > nat ) > ( nat > rat ) > nat ).
thf(func_def_2735,type,
sK319: ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_2736,type,
sK320: ( int > nat ) > ( nat > int ) > nat ).
thf(func_def_2737,type,
sK321: ( rat > int ) > ( int > rat ) > int ).
thf(func_def_2738,type,
sK322: ( nat > int ) > ( int > nat ) > int ).
thf(func_def_2739,type,
sK323: ( int > int ) > ( int > int ) > int ).
thf(func_def_2740,type,
sK324: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).
thf(func_def_2741,type,
sK325: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).
thf(func_def_2742,type,
sK326: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2743,type,
sK327: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2744,type,
sK328: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2745,type,
sK329: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2746,type,
sK330: ( nat > num > $o ) > product_prod_nat_num > nat ).
thf(func_def_2747,type,
sK331: ( nat > num > $o ) > product_prod_nat_num > num ).
thf(func_def_2748,type,
sK332: ( nat > nat > $o ) > product_prod_nat_nat > nat ).
thf(func_def_2749,type,
sK333: ( nat > nat > $o ) > product_prod_nat_nat > nat ).
thf(func_def_2750,type,
sK334: ( int > int > $o ) > product_prod_int_int > int ).
thf(func_def_2751,type,
sK335: ( int > int > $o ) > product_prod_int_int > int ).
thf(func_def_2752,type,
sK336: ( nat > num > set_o ) > $o > product_prod_nat_num > nat ).
thf(func_def_2753,type,
sK337: ( nat > num > set_o ) > $o > product_prod_nat_num > num ).
thf(func_def_2754,type,
sK338: ( nat > num > set_nat ) > nat > product_prod_nat_num > nat ).
thf(func_def_2755,type,
sK339: ( nat > num > set_nat ) > nat > product_prod_nat_num > num ).
thf(func_def_2756,type,
sK340: ( nat > num > set_int ) > int > product_prod_nat_num > nat ).
thf(func_def_2757,type,
sK341: ( nat > num > set_int ) > int > product_prod_nat_num > num ).
thf(func_def_2758,type,
sK342: ( nat > nat > set_o ) > $o > product_prod_nat_nat > nat ).
thf(func_def_2759,type,
sK343: ( nat > nat > set_o ) > $o > product_prod_nat_nat > nat ).
thf(func_def_2760,type,
sK344: ( nat > nat > set_nat ) > nat > product_prod_nat_nat > nat ).
thf(func_def_2761,type,
sK345: ( nat > nat > set_nat ) > nat > product_prod_nat_nat > nat ).
thf(func_def_2762,type,
sK346: ( nat > nat > set_int ) > int > product_prod_nat_nat > nat ).
thf(func_def_2763,type,
sK347: ( nat > nat > set_int ) > int > product_prod_nat_nat > nat ).
thf(func_def_2764,type,
sK348: ( int > int > set_o ) > $o > product_prod_int_int > int ).
thf(func_def_2765,type,
sK349: ( int > int > set_o ) > $o > product_prod_int_int > int ).
thf(func_def_2766,type,
sK350: ( int > int > set_nat ) > nat > product_prod_int_int > int ).
thf(func_def_2767,type,
sK351: ( int > int > set_nat ) > nat > product_prod_int_int > int ).
thf(func_def_2768,type,
sK352: ( int > int > set_int ) > int > product_prod_int_int > int ).
thf(func_def_2769,type,
sK353: ( int > int > set_int ) > int > product_prod_int_int > int ).
thf(func_def_2770,type,
sK354: ( nat > num > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > product_prod_nat_num > nat ).
thf(func_def_2771,type,
sK355: ( nat > num > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > product_prod_nat_num > num ).
thf(func_def_2772,type,
sK356: set_nat > ( nat > rat ) > rat > nat ).
thf(func_def_2773,type,
sK357: set_o > ( $o > $o ) > $o > $o ).
thf(func_def_2774,type,
sK358: set_nat > ( nat > $o ) > $o > nat ).
thf(func_def_2775,type,
sK359: set_int > ( int > $o ) > $o > int ).
thf(func_def_2776,type,
sK360: set_o > ( $o > nat ) > nat > $o ).
thf(func_def_2777,type,
sK361: set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_2778,type,
sK362: set_int > ( int > nat ) > nat > int ).
thf(func_def_2779,type,
sK363: set_o > ( $o > int ) > int > $o ).
thf(func_def_2780,type,
sK364: set_nat > ( nat > int ) > int > nat ).
thf(func_def_2781,type,
sK365: set_int > ( int > int ) > int > int ).
thf(func_def_2782,type,
sK366: product_prod_nat_nat > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).
thf(func_def_2783,type,
sK367: product_prod_nat_nat > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).
thf(func_def_2784,type,
sK368: ( produc3843707927480180839at_nat > $o ) > ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_2785,type,
sK369: ( $o > $o ) > ( $o > $o ) > set_o > $o ).
thf(func_def_2786,type,
sK370: ( int > $o ) > ( int > $o ) > set_int > int ).
thf(func_def_2787,type,
sK371: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_2788,type,
sK372: ( nat > $o ) > ( nat > $o ) > set_nat > nat ).
thf(func_def_2789,type,
sK373: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int > product_prod_int_int ).
thf(func_def_2790,type,
sK374: set_nat > ( int > nat ) > ( int > $o ) > int ).
thf(func_def_2791,type,
sK375: set_int > ( int > int ) > ( int > $o ) > int ).
thf(func_def_2792,type,
sK376: set_rat > ( nat > rat ) > ( nat > $o ) > nat ).
thf(func_def_2793,type,
sK377: set_o > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_2794,type,
sK378: set_nat > ( nat > nat ) > ( nat > $o ) > nat ).
thf(func_def_2795,type,
sK379: set_int > ( nat > int ) > ( nat > $o ) > nat ).
thf(func_def_2796,type,
sK380: set_o > ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_2797,type,
sK381: set_nat > ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_2798,type,
sK382: set_int > ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_2799,type,
sK383: set_Pr1261947904930325089at_nat > ( nat > product_prod_nat_nat ) > ( nat > $o ) > nat ).
thf(func_def_2800,type,
sK384: ( char > $o ) > $o > char ).
thf(func_def_2801,type,
sK385: ( char > nat ) > nat > char ).
thf(func_def_2802,type,
sK386: ( char > int ) > int > char ).
thf(func_def_2803,type,
sK387: ( rat > $o ) > $o > rat ).
thf(func_def_2804,type,
sK388: ( rat > nat ) > nat > rat ).
thf(func_def_2805,type,
sK389: ( rat > int ) > int > rat ).
thf(func_def_2806,type,
sK390: ( nat > rat ) > rat > nat ).
thf(func_def_2807,type,
sK391: ( nat > $o ) > $o > nat ).
thf(func_def_2808,type,
sK392: ( nat > nat ) > nat > nat ).
thf(func_def_2809,type,
sK393: ( nat > int ) > int > nat ).
thf(func_def_2810,type,
sK394: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > nat ).
thf(func_def_2811,type,
sK395: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > nat ).
thf(func_def_2812,type,
sK396: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > $o ) > nat ).
thf(func_def_2813,type,
sK397: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > $o ) > nat ).
thf(func_def_2814,type,
sK398: product_prod_int_int > ( int > int > product_prod_int_int ) > ( product_prod_int_int > $o ) > int ).
thf(func_def_2815,type,
sK399: product_prod_int_int > ( int > int > product_prod_int_int ) > ( product_prod_int_int > $o ) > int ).
thf(func_def_2816,type,
sK400: product_prod_int_int > ( int > int > $o ) > ( $o > $o ) > int ).
thf(func_def_2817,type,
sK401: product_prod_int_int > ( int > int > $o ) > ( $o > $o ) > int ).
thf(func_def_2818,type,
sK402: product_prod_int_int > ( int > int > int ) > ( int > $o ) > int ).
thf(func_def_2819,type,
sK403: product_prod_int_int > ( int > int > int ) > ( int > $o ) > int ).
thf(func_def_2820,type,
sK404: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > nat ).
thf(func_def_2821,type,
sK405: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > nat ).
thf(func_def_2822,type,
sK406: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > nat ).
thf(func_def_2823,type,
sK407: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > nat ).
thf(func_def_2824,type,
sK408: ( product_prod_int_int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > int ).
thf(func_def_2825,type,
sK409: ( product_prod_int_int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > int ).
thf(func_def_2826,type,
sK410: ( product_prod_int_int > $o ) > ( int > int > $o ) > int ).
thf(func_def_2827,type,
sK411: ( product_prod_int_int > $o ) > ( int > int > $o ) > int ).
thf(func_def_2828,type,
sK412: ( product_prod_int_int > int ) > ( int > int > int ) > int ).
thf(func_def_2829,type,
sK413: ( product_prod_int_int > int ) > ( int > int > int ) > int ).
thf(func_def_2830,type,
sK414: produc1319942482725812455at_nat > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).
thf(func_def_2831,type,
sK415: produc1319942482725812455at_nat > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).
thf(func_def_2832,type,
sK416: produc3843707927480180839at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_2833,type,
sK417: produc3843707927480180839at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_2834,type,
sK418: product_prod_nat_num > ( nat > num > $o ) > nat ).
thf(func_def_2835,type,
sK419: product_prod_nat_num > ( nat > num > $o ) > num ).
thf(func_def_2836,type,
sK420: product_prod_nat_nat > ( nat > nat > $o ) > nat ).
thf(func_def_2837,type,
sK421: product_prod_nat_nat > ( nat > nat > $o ) > nat ).
thf(func_def_2838,type,
sK422: product_prod_int_int > ( int > int > $o ) > int ).
thf(func_def_2839,type,
sK423: product_prod_int_int > ( int > int > $o ) > int ).
thf(func_def_2840,type,
sK424: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > ( nat > nat > $o ) > nat ).
thf(func_def_2841,type,
sK425: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > ( nat > nat > $o ) > nat ).
thf(func_def_2842,type,
sK426: ( nat > nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > $o ) > ( nat > nat > $o ) > nat ).
thf(func_def_2843,type,
sK427: ( nat > nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > $o ) > ( nat > nat > $o ) > nat ).
thf(func_def_2844,type,
sK428: ( int > int > product_prod_int_int ) > ( product_prod_int_int > $o ) > ( int > int > $o ) > int ).
thf(func_def_2845,type,
sK429: ( int > int > product_prod_int_int ) > ( product_prod_int_int > $o ) > ( int > int > $o ) > int ).
thf(func_def_2846,type,
sK430: ( int > int > $o ) > ( $o > $o ) > ( int > int > $o ) > int ).
thf(func_def_2847,type,
sK431: ( int > int > $o ) > ( $o > $o ) > ( int > int > $o ) > int ).
thf(func_def_2848,type,
sK432: ( int > int > int ) > ( int > $o ) > ( int > int > $o ) > int ).
thf(func_def_2849,type,
sK433: ( int > int > int ) > ( int > $o ) > ( int > int > $o ) > int ).
thf(func_def_2850,type,
sK434: ( produc3843707927480180839at_nat > nat > nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_2851,type,
sK435: ( produc3843707927480180839at_nat > nat > nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_2852,type,
sK436: ( product_prod_nat_nat > nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_2853,type,
sK437: ( product_prod_nat_nat > nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_2854,type,
sK438: ( $o > nat > nat ) > set_o > $o ).
thf(func_def_2855,type,
sK439: ( $o > nat > nat ) > set_o > $o ).
thf(func_def_2856,type,
sK440: ( nat > nat > nat ) > set_nat > nat ).
thf(func_def_2857,type,
sK441: ( nat > nat > nat ) > set_nat > nat ).
thf(func_def_2858,type,
sK442: ( int > nat > nat ) > set_int > int ).
thf(func_def_2859,type,
sK443: ( int > nat > nat ) > set_int > int ).
thf(func_def_2860,type,
sK444: set_Pr4329608150637261639at_nat > produc1906917888121415911at_nat > produc3843707927480180839at_nat ).
thf(func_def_2861,type,
sK445: set_Pr1261947904930325089at_nat > produc859450856879609959at_nat > product_prod_nat_nat ).
thf(func_def_2862,type,
sK446: set_o > product_prod_o_o > $o ).
thf(func_def_2863,type,
sK447: set_se5479201105039950375at_nat > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2864,type,
sK448: set_se7855581050983116737at_nat > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2865,type,
sK449: set_nat > product_prod_nat_nat > nat ).
thf(func_def_2866,type,
sK450: set_int > product_prod_int_int > int ).
thf(func_def_2867,type,
sK451: ( nat > set_nat ) > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_2868,type,
sK452: ( $o > set_o ) > set_o > product_prod_o_o > $o ).
thf(func_def_2869,type,
sK453: ( $o > set_o ) > set_o > product_prod_o_o > $o ).
thf(func_def_2870,type,
sK454: ( $o > set_nat ) > set_o > product_prod_o_nat > $o ).
thf(func_def_2871,type,
sK455: ( $o > set_nat ) > set_o > product_prod_o_nat > nat ).
thf(func_def_2872,type,
sK456: ( $o > set_int ) > set_o > product_prod_o_int > $o ).
thf(func_def_2873,type,
sK457: ( $o > set_int ) > set_o > product_prod_o_int > int ).
thf(func_def_2874,type,
sK458: ( nat > set_o ) > set_nat > product_prod_nat_o > nat ).
thf(func_def_2875,type,
sK459: ( nat > set_o ) > set_nat > product_prod_nat_o > $o ).
thf(func_def_2876,type,
sK460: ( nat > set_int ) > set_nat > product_prod_nat_int > nat ).
thf(func_def_2877,type,
sK461: ( nat > set_int ) > set_nat > product_prod_nat_int > int ).
thf(func_def_2878,type,
sK462: ( int > set_o ) > set_int > product_prod_int_o > int ).
thf(func_def_2879,type,
sK463: ( int > set_o ) > set_int > product_prod_int_o > $o ).
thf(func_def_2880,type,
sK464: ( int > set_nat ) > set_int > product_prod_int_nat > int ).
thf(func_def_2881,type,
sK465: ( int > set_nat ) > set_int > product_prod_int_nat > nat ).
thf(func_def_2882,type,
sK466: ( nat > set_num ) > set_nat > product_prod_nat_num > nat ).
thf(func_def_2883,type,
sK467: ( nat > set_num ) > set_nat > product_prod_nat_num > num ).
thf(func_def_2884,type,
sK468: ( int > set_int ) > set_int > product_prod_int_int > int ).
thf(func_def_2885,type,
sK469: ( int > set_int ) > set_int > product_prod_int_int > int ).
thf(func_def_2886,type,
sK470: ( nat > set_nat ) > set_nat > product_prod_nat_nat > nat ).
thf(func_def_2887,type,
sK471: ( nat > set_nat ) > set_nat > product_prod_nat_nat > nat ).
thf(func_def_2888,type,
sK472: ( nat > set_nat ) > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_2889,type,
sK473: set_int > int ).
thf(func_def_2890,type,
sK474: set_Product_unit > product_unit ).
thf(func_def_2891,type,
sK475: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_2892,type,
sK476: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_2893,type,
sK477: set_o > $o ).
thf(func_def_2894,type,
sK478: set_nat > nat ).
thf(func_def_2895,type,
sK479: int > ( int > nat ) > set_int > int ).
thf(func_def_2896,type,
sK480: int > ( int > int ) > set_int > int ).
thf(func_def_2897,type,
sK481: nat > ( nat > rat ) > set_nat > nat ).
thf(func_def_2898,type,
sK482: nat > ( nat > nat ) > set_nat > nat ).
thf(func_def_2899,type,
sK483: nat > ( nat > int ) > set_nat > nat ).
thf(func_def_2900,type,
sK484: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > produc3843707927480180839at_nat ).
thf(func_def_2901,type,
sK485: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat ).
thf(func_def_2902,type,
sK486: set_o > set_Product_prod_o_o > $o ).
thf(func_def_2903,type,
sK487: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_2904,type,
sK488: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_2905,type,
sK489: set_int > set_Pr958786334691620121nt_int > int ).
thf(func_def_2906,type,
sK490: set_nat > set_Pr1261947904930325089at_nat > nat ).
thf(func_def_2907,type,
sK491: ( $o > set_o ) > $o > set_o > $o ).
thf(func_def_2908,type,
sK492: ( $o > set_int ) > int > set_o > $o ).
thf(func_def_2909,type,
sK493: ( nat > set_o ) > $o > set_nat > nat ).
thf(func_def_2910,type,
sK494: ( nat > set_int ) > int > set_nat > nat ).
thf(func_def_2911,type,
sK495: ( int > set_o ) > $o > set_int > int ).
thf(func_def_2912,type,
sK496: ( int > set_int ) > int > set_int > int ).
thf(func_def_2913,type,
sK497: ( $o > set_nat ) > nat > set_o > $o ).
thf(func_def_2914,type,
sK498: ( nat > set_nat ) > nat > set_nat > nat ).
thf(func_def_2915,type,
sK499: ( int > set_nat ) > nat > set_int > int ).
thf(func_def_2916,type,
sK500: ( product_prod_nat_nat > set_o ) > $o > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_2917,type,
sK501: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_2918,type,
sK502: ( int > nat ) > ( int > nat ) > set_int > int ).
thf(func_def_2919,type,
sK503: ( $o > int ) > ( $o > int ) > set_o > $o ).
thf(func_def_2920,type,
sK504: ( nat > int ) > ( nat > int ) > set_nat > nat ).
thf(func_def_2921,type,
sK505: ( int > int ) > ( int > int ) > set_int > int ).
thf(func_def_2922,type,
sK506: ( $o > product_unit ) > ( $o > product_unit ) > set_o > $o ).
thf(func_def_2923,type,
sK507: ( nat > product_unit ) > ( nat > product_unit ) > set_nat > nat ).
thf(func_def_2924,type,
sK508: ( int > product_unit ) > ( int > product_unit ) > set_int > int ).
thf(func_def_2925,type,
sK509: ( $o > set_nat ) > ( $o > set_nat ) > set_o > $o ).
thf(func_def_2926,type,
sK510: ( nat > set_nat ) > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_2927,type,
sK511: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_2928,type,
sK512: ( int > nat ) > ( int > nat ) > set_int > int ).
thf(func_def_2929,type,
sK513: ( $o > int ) > ( $o > int ) > set_o > $o ).
thf(func_def_2930,type,
sK514: ( nat > int ) > ( nat > int ) > set_nat > nat ).
thf(func_def_2931,type,
sK515: ( int > int ) > ( int > int ) > set_int > int ).
thf(func_def_2932,type,
sK516: ( $o > product_unit ) > ( $o > product_unit ) > set_o > $o ).
thf(func_def_2933,type,
sK517: ( nat > product_unit ) > ( nat > product_unit ) > set_nat > nat ).
thf(func_def_2934,type,
sK518: ( int > product_unit ) > ( int > product_unit ) > set_int > int ).
thf(func_def_2935,type,
sK519: ( $o > set_nat ) > ( $o > set_nat ) > set_o > $o ).
thf(func_def_2936,type,
sK520: ( nat > set_nat ) > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_2937,type,
sK521: set_o > ( $o > set_o ) > $o > $o ).
thf(func_def_2938,type,
sK522: set_nat > ( nat > set_o ) > $o > nat ).
thf(func_def_2939,type,
sK523: set_int > ( int > set_o ) > $o > int ).
thf(func_def_2940,type,
sK524: set_o > ( $o > set_int ) > int > $o ).
thf(func_def_2941,type,
sK525: set_nat > ( nat > set_int ) > int > nat ).
thf(func_def_2942,type,
sK526: set_int > ( int > set_int ) > int > int ).
thf(func_def_2943,type,
sK527: set_o > ( $o > set_nat ) > nat > $o ).
thf(func_def_2944,type,
sK528: set_nat > ( nat > set_nat ) > nat > nat ).
thf(func_def_2945,type,
sK529: set_int > ( int > set_nat ) > nat > int ).
thf(func_def_2946,type,
sK530: set_o > ( $o > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > $o ).
thf(func_def_2947,type,
sK531: ( $o > product_unit ) > ( $o > product_unit ) > set_o > set_o > $o ).
thf(func_def_2948,type,
sK532: ( $o > product_unit ) > ( $o > product_unit ) > set_o > set_o > $o ).
thf(func_def_2949,type,
sK533: ( $o > product_unit ) > ( nat > product_unit ) > set_nat > set_o > nat ).
thf(func_def_2950,type,
sK534: ( $o > product_unit ) > ( nat > product_unit ) > set_nat > set_o > $o ).
thf(func_def_2951,type,
sK535: ( $o > product_unit ) > ( int > product_unit ) > set_int > set_o > int ).
thf(func_def_2952,type,
sK536: ( $o > product_unit ) > ( int > product_unit ) > set_int > set_o > $o ).
thf(func_def_2953,type,
sK537: ( nat > product_unit ) > ( $o > product_unit ) > set_o > set_nat > $o ).
thf(func_def_2954,type,
sK538: ( nat > product_unit ) > ( $o > product_unit ) > set_o > set_nat > nat ).
thf(func_def_2955,type,
sK539: ( nat > product_unit ) > ( nat > product_unit ) > set_nat > set_nat > nat ).
thf(func_def_2956,type,
sK540: ( nat > product_unit ) > ( nat > product_unit ) > set_nat > set_nat > nat ).
thf(func_def_2957,type,
sK541: ( nat > product_unit ) > ( int > product_unit ) > set_int > set_nat > int ).
thf(func_def_2958,type,
sK542: ( nat > product_unit ) > ( int > product_unit ) > set_int > set_nat > nat ).
thf(func_def_2959,type,
sK543: ( int > product_unit ) > ( $o > product_unit ) > set_o > set_int > $o ).
thf(func_def_2960,type,
sK544: ( int > product_unit ) > ( $o > product_unit ) > set_o > set_int > int ).
thf(func_def_2961,type,
sK545: ( int > product_unit ) > ( nat > product_unit ) > set_nat > set_int > nat ).
thf(func_def_2962,type,
sK546: ( int > product_unit ) > ( nat > product_unit ) > set_nat > set_int > int ).
thf(func_def_2963,type,
sK547: ( int > product_unit ) > ( int > product_unit ) > set_int > set_int > int ).
thf(func_def_2964,type,
sK548: ( int > product_unit ) > ( int > product_unit ) > set_int > set_int > int ).
thf(func_def_2965,type,
sK549: ( $o > set_nat ) > ( $o > set_nat ) > set_o > set_o > $o ).
thf(func_def_2966,type,
sK550: ( $o > set_nat ) > ( $o > set_nat ) > set_o > set_o > $o ).
thf(func_def_2967,type,
sK551: ( $o > product_unit ) > ( $o > product_unit ) > set_o > set_o > $o ).
thf(func_def_2968,type,
sK552: ( $o > product_unit ) > ( $o > product_unit ) > set_o > set_o > $o ).
thf(func_def_2969,type,
sK553: ( nat > product_unit ) > ( $o > product_unit ) > set_nat > set_o > nat ).
thf(func_def_2970,type,
sK554: ( nat > product_unit ) > ( $o > product_unit ) > set_nat > set_o > $o ).
thf(func_def_2971,type,
sK555: ( int > product_unit ) > ( $o > product_unit ) > set_int > set_o > int ).
thf(func_def_2972,type,
sK556: ( int > product_unit ) > ( $o > product_unit ) > set_int > set_o > $o ).
thf(func_def_2973,type,
sK557: ( $o > product_unit ) > ( nat > product_unit ) > set_o > set_nat > $o ).
thf(func_def_2974,type,
sK558: ( $o > product_unit ) > ( nat > product_unit ) > set_o > set_nat > nat ).
thf(func_def_2975,type,
sK559: ( nat > product_unit ) > ( nat > product_unit ) > set_nat > set_nat > nat ).
thf(func_def_2976,type,
sK560: ( nat > product_unit ) > ( nat > product_unit ) > set_nat > set_nat > nat ).
thf(func_def_2977,type,
sK561: ( int > product_unit ) > ( nat > product_unit ) > set_int > set_nat > int ).
thf(func_def_2978,type,
sK562: ( int > product_unit ) > ( nat > product_unit ) > set_int > set_nat > nat ).
thf(func_def_2979,type,
sK563: ( $o > product_unit ) > ( int > product_unit ) > set_o > set_int > $o ).
thf(func_def_2980,type,
sK564: ( $o > product_unit ) > ( int > product_unit ) > set_o > set_int > int ).
thf(func_def_2981,type,
sK565: ( nat > product_unit ) > ( int > product_unit ) > set_nat > set_int > nat ).
thf(func_def_2982,type,
sK566: ( nat > product_unit ) > ( int > product_unit ) > set_nat > set_int > int ).
thf(func_def_2983,type,
sK567: ( int > product_unit ) > ( int > product_unit ) > set_int > set_int > int ).
thf(func_def_2984,type,
sK568: ( int > product_unit ) > ( int > product_unit ) > set_int > set_int > int ).
thf(func_def_2985,type,
sK569: ( $o > set_nat ) > ( $o > set_nat ) > set_o > set_o > $o ).
thf(func_def_2986,type,
sK570: ( $o > set_nat ) > ( $o > set_nat ) > set_o > set_o > $o ).
thf(func_def_2987,type,
sK571: product_unit > ( int > product_unit ) > set_int > int ).
thf(func_def_2988,type,
sK572: product_unit > ( product_unit > product_unit ) > set_Product_unit > product_unit ).
thf(func_def_2989,type,
sK573: product_unit > ( $o > product_unit ) > set_o > $o ).
thf(func_def_2990,type,
sK574: product_unit > ( nat > product_unit ) > set_nat > nat ).
thf(func_def_2991,type,
sK575: set_nat > ( int > set_nat ) > set_int > int ).
thf(func_def_2992,type,
sK576: set_nat > ( product_unit > set_nat ) > set_Product_unit > product_unit ).
thf(func_def_2993,type,
sK577: set_nat > ( $o > set_nat ) > set_o > $o ).
thf(func_def_2994,type,
sK578: set_nat > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_2995,type,
sK579: product_unit > ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_2996,type,
sK580: set_nat > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_2997,type,
sK581: product_unit > ( int > product_unit ) > set_int > int ).
thf(func_def_2998,type,
sK582: product_unit > ( product_unit > product_unit ) > set_Product_unit > product_unit ).
thf(func_def_2999,type,
sK583: product_unit > ( $o > product_unit ) > set_o > $o ).
thf(func_def_3000,type,
sK584: product_unit > ( nat > product_unit ) > set_nat > nat ).
thf(func_def_3001,type,
sK585: set_nat > ( int > set_nat ) > set_int > int ).
thf(func_def_3002,type,
sK586: set_nat > ( product_unit > set_nat ) > set_Product_unit > product_unit ).
thf(func_def_3003,type,
sK587: set_nat > ( $o > set_nat ) > set_o > $o ).
thf(func_def_3004,type,
sK588: set_nat > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3005,type,
sK589: product_unit > ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3006,type,
sK590: set_nat > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3007,type,
sK591: ( produc3843707927480180839at_nat > set_nat ) > set_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3008,type,
sK592: ( product_prod_nat_nat > set_nat ) > set_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3009,type,
sK593: ( $o > set_nat ) > set_nat > set_o > $o ).
thf(func_def_3010,type,
sK594: ( nat > set_nat ) > set_nat > set_nat > nat ).
thf(func_def_3011,type,
sK595: ( int > set_nat ) > set_nat > set_int > int ).
thf(func_def_3012,type,
sK596: ( produc3843707927480180839at_nat > product_unit ) > product_unit > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3013,type,
sK597: ( product_prod_nat_nat > product_unit ) > product_unit > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3014,type,
sK598: ( $o > product_unit ) > product_unit > set_o > $o ).
thf(func_def_3015,type,
sK599: ( nat > product_unit ) > product_unit > set_nat > nat ).
thf(func_def_3016,type,
sK600: ( int > product_unit ) > product_unit > set_int > int ).
thf(func_def_3017,type,
sK601: ( produc3843707927480180839at_nat > set_nat ) > set_nat > set_Pr4329608150637261639at_nat > set_nat ).
thf(func_def_3018,type,
sK602: ( produc3843707927480180839at_nat > set_nat ) > set_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3019,type,
sK603: ( product_prod_nat_nat > set_nat ) > set_nat > set_Pr1261947904930325089at_nat > set_nat ).
thf(func_def_3020,type,
sK604: ( product_prod_nat_nat > set_nat ) > set_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3021,type,
sK605: ( $o > set_nat ) > set_nat > set_o > set_nat ).
thf(func_def_3022,type,
sK606: ( $o > set_nat ) > set_nat > set_o > $o ).
thf(func_def_3023,type,
sK607: ( nat > set_nat ) > set_nat > set_nat > set_nat ).
thf(func_def_3024,type,
sK608: ( nat > set_nat ) > set_nat > set_nat > nat ).
thf(func_def_3025,type,
sK609: ( int > set_nat ) > set_nat > set_int > set_nat ).
thf(func_def_3026,type,
sK610: ( int > set_nat ) > set_nat > set_int > int ).
thf(func_def_3027,type,
sK611: ( produc3843707927480180839at_nat > product_unit ) > product_unit > set_Pr4329608150637261639at_nat > product_unit ).
thf(func_def_3028,type,
sK612: ( produc3843707927480180839at_nat > product_unit ) > product_unit > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3029,type,
sK613: ( product_prod_nat_nat > product_unit ) > product_unit > set_Pr1261947904930325089at_nat > product_unit ).
thf(func_def_3030,type,
sK614: ( product_prod_nat_nat > product_unit ) > product_unit > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3031,type,
sK615: ( $o > product_unit ) > product_unit > set_o > product_unit ).
thf(func_def_3032,type,
sK616: ( $o > product_unit ) > product_unit > set_o > $o ).
thf(func_def_3033,type,
sK617: ( nat > product_unit ) > product_unit > set_nat > product_unit ).
thf(func_def_3034,type,
sK618: ( nat > product_unit ) > product_unit > set_nat > nat ).
thf(func_def_3035,type,
sK619: ( int > product_unit ) > product_unit > set_int > product_unit ).
thf(func_def_3036,type,
sK620: ( int > product_unit ) > product_unit > set_int > int ).
thf(func_def_3037,type,
sK621: set_nat > ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3038,type,
sK622: set_nat > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3039,type,
sK623: set_nat > ( $o > set_nat ) > set_o > $o ).
thf(func_def_3040,type,
sK624: set_nat > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3041,type,
sK625: set_nat > ( int > set_nat ) > set_int > int ).
thf(func_def_3042,type,
sK626: product_unit > ( produc3843707927480180839at_nat > product_unit ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3043,type,
sK627: product_unit > ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3044,type,
sK628: product_unit > ( $o > product_unit ) > set_o > $o ).
thf(func_def_3045,type,
sK629: product_unit > ( nat > product_unit ) > set_nat > nat ).
thf(func_def_3046,type,
sK630: product_unit > ( int > product_unit ) > set_int > int ).
thf(func_def_3047,type,
sK631: set_nat > ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > set_nat ).
thf(func_def_3048,type,
sK632: set_nat > ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3049,type,
sK633: set_nat > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > set_nat ).
thf(func_def_3050,type,
sK634: set_nat > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3051,type,
sK635: set_nat > ( $o > set_nat ) > set_o > set_nat ).
thf(func_def_3052,type,
sK636: set_nat > ( $o > set_nat ) > set_o > $o ).
thf(func_def_3053,type,
sK637: set_nat > ( nat > set_nat ) > set_nat > set_nat ).
thf(func_def_3054,type,
sK638: set_nat > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3055,type,
sK639: set_nat > ( int > set_nat ) > set_int > set_nat ).
thf(func_def_3056,type,
sK640: set_nat > ( int > set_nat ) > set_int > int ).
thf(func_def_3057,type,
sK641: product_unit > ( produc3843707927480180839at_nat > product_unit ) > set_Pr4329608150637261639at_nat > product_unit ).
thf(func_def_3058,type,
sK642: product_unit > ( produc3843707927480180839at_nat > product_unit ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3059,type,
sK643: product_unit > ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > product_unit ).
thf(func_def_3060,type,
sK644: product_unit > ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3061,type,
sK645: product_unit > ( $o > product_unit ) > set_o > product_unit ).
thf(func_def_3062,type,
sK646: product_unit > ( $o > product_unit ) > set_o > $o ).
thf(func_def_3063,type,
sK647: product_unit > ( nat > product_unit ) > set_nat > product_unit ).
thf(func_def_3064,type,
sK648: product_unit > ( nat > product_unit ) > set_nat > nat ).
thf(func_def_3065,type,
sK649: product_unit > ( int > product_unit ) > set_int > product_unit ).
thf(func_def_3066,type,
sK650: product_unit > ( int > product_unit ) > set_int > int ).
thf(func_def_3067,type,
sK651: ( produc3843707927480180839at_nat > set_nat ) > set_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3068,type,
sK652: ( product_prod_nat_nat > set_nat ) > set_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3069,type,
sK653: ( $o > set_nat ) > set_nat > set_o > $o ).
thf(func_def_3070,type,
sK654: ( nat > set_nat ) > set_nat > set_nat > nat ).
thf(func_def_3071,type,
sK655: ( int > set_nat ) > set_nat > set_int > int ).
thf(func_def_3072,type,
sK656: ( produc3843707927480180839at_nat > set_nat ) > ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3073,type,
sK657: ( product_prod_nat_nat > set_nat ) > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3074,type,
sK658: ( $o > set_nat ) > ( $o > set_nat ) > set_o > $o ).
thf(func_def_3075,type,
sK659: ( nat > set_nat ) > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3076,type,
sK660: ( int > set_nat ) > ( int > set_nat ) > set_int > int ).
thf(func_def_3077,type,
sK661: ( produc3843707927480180839at_nat > set_nat ) > ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3078,type,
sK662: ( product_prod_nat_nat > set_nat ) > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3079,type,
sK663: ( $o > set_nat ) > ( $o > set_nat ) > set_o > $o ).
thf(func_def_3080,type,
sK664: ( nat > set_nat ) > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3081,type,
sK665: ( int > set_nat ) > ( int > set_nat ) > set_int > int ).
thf(func_def_3082,type,
sK666: set_nat > ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3083,type,
sK667: set_nat > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3084,type,
sK668: set_nat > ( $o > set_nat ) > set_o > $o ).
thf(func_def_3085,type,
sK669: set_nat > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3086,type,
sK670: set_nat > ( int > set_nat ) > set_int > int ).
thf(func_def_3087,type,
sK671: product_unit > ( int > product_unit ) > set_int > int ).
thf(func_def_3088,type,
sK672: product_unit > ( product_unit > product_unit ) > set_Product_unit > product_unit ).
thf(func_def_3089,type,
sK673: product_unit > ( $o > product_unit ) > set_o > $o ).
thf(func_def_3090,type,
sK674: product_unit > ( nat > product_unit ) > set_nat > nat ).
thf(func_def_3091,type,
sK675: set_nat > ( int > set_nat ) > set_int > int ).
thf(func_def_3092,type,
sK676: set_nat > ( product_unit > set_nat ) > set_Product_unit > product_unit ).
thf(func_def_3093,type,
sK677: set_nat > ( $o > set_nat ) > set_o > $o ).
thf(func_def_3094,type,
sK678: set_nat > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3095,type,
sK679: product_unit > ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3096,type,
sK680: set_nat > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3097,type,
sK681: ( int > product_unit ) > product_unit > set_int > int ).
thf(func_def_3098,type,
sK682: ( product_unit > product_unit ) > product_unit > set_Product_unit > product_unit ).
thf(func_def_3099,type,
sK683: ( $o > product_unit ) > product_unit > set_o > $o ).
thf(func_def_3100,type,
sK684: ( nat > product_unit ) > product_unit > set_nat > nat ).
thf(func_def_3101,type,
sK685: ( int > set_nat ) > set_nat > set_int > int ).
thf(func_def_3102,type,
sK686: ( product_unit > set_nat ) > set_nat > set_Product_unit > product_unit ).
thf(func_def_3103,type,
sK687: ( $o > set_nat ) > set_nat > set_o > $o ).
thf(func_def_3104,type,
sK688: ( nat > set_nat ) > set_nat > set_nat > nat ).
thf(func_def_3105,type,
sK689: ( product_prod_nat_nat > product_unit ) > product_unit > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3106,type,
sK690: ( product_prod_nat_nat > set_nat ) > set_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3107,type,
sK691: ( produc3843707927480180839at_nat > set_nat ) > ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3108,type,
sK692: ( product_prod_nat_nat > set_nat ) > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3109,type,
sK693: ( $o > set_nat ) > ( $o > set_nat ) > set_o > $o ).
thf(func_def_3110,type,
sK694: ( nat > set_nat ) > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3111,type,
sK695: ( int > set_nat ) > ( int > set_nat ) > set_int > int ).
thf(func_def_3112,type,
sK696: ( produc3843707927480180839at_nat > product_unit ) > ( produc3843707927480180839at_nat > product_unit ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3113,type,
sK697: ( product_prod_nat_nat > product_unit ) > ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3114,type,
sK698: ( $o > product_unit ) > ( $o > product_unit ) > set_o > $o ).
thf(func_def_3115,type,
sK699: ( nat > product_unit ) > ( nat > product_unit ) > set_nat > nat ).
thf(func_def_3116,type,
sK700: ( int > product_unit ) > ( int > product_unit ) > set_int > int ).
thf(func_def_3117,type,
sK701: ( produc3843707927480180839at_nat > set_nat ) > ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3118,type,
sK702: ( product_prod_nat_nat > set_nat ) > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3119,type,
sK703: ( $o > set_nat ) > ( $o > set_nat ) > set_o > $o ).
thf(func_def_3120,type,
sK704: ( nat > set_nat ) > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3121,type,
sK705: ( int > set_nat ) > ( int > set_nat ) > set_int > int ).
thf(func_def_3122,type,
sK706: ( produc3843707927480180839at_nat > product_unit ) > ( produc3843707927480180839at_nat > product_unit ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3123,type,
sK707: ( product_prod_nat_nat > product_unit ) > ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3124,type,
sK708: ( $o > product_unit ) > ( $o > product_unit ) > set_o > $o ).
thf(func_def_3125,type,
sK709: ( nat > product_unit ) > ( nat > product_unit ) > set_nat > nat ).
thf(func_def_3126,type,
sK710: ( int > product_unit ) > ( int > product_unit ) > set_int > int ).
thf(func_def_3127,type,
sK711: ( int > nat ) > nat > set_int > int ).
thf(func_def_3128,type,
sK712: ( product_unit > nat ) > nat > set_Product_unit > product_unit ).
thf(func_def_3129,type,
sK713: ( $o > nat ) > nat > set_o > $o ).
thf(func_def_3130,type,
sK714: ( nat > nat ) > nat > set_nat > nat ).
thf(func_def_3131,type,
sK715: ( int > int ) > int > set_int > int ).
thf(func_def_3132,type,
sK716: ( product_unit > int ) > int > set_Product_unit > product_unit ).
thf(func_def_3133,type,
sK717: ( $o > int ) > int > set_o > $o ).
thf(func_def_3134,type,
sK718: ( nat > int ) > int > set_nat > nat ).
thf(func_def_3135,type,
sK719: ( int > product_unit ) > product_unit > set_int > int ).
thf(func_def_3136,type,
sK720: ( product_unit > product_unit ) > product_unit > set_Product_unit > product_unit ).
thf(func_def_3137,type,
sK721: nat > ( int > nat ) > set_int > int ).
thf(func_def_3138,type,
sK722: nat > ( product_unit > nat ) > set_Product_unit > product_unit ).
thf(func_def_3139,type,
sK723: nat > ( $o > nat ) > set_o > $o ).
thf(func_def_3140,type,
sK724: nat > ( nat > nat ) > set_nat > nat ).
thf(func_def_3141,type,
sK725: int > ( int > int ) > set_int > int ).
thf(func_def_3142,type,
sK726: int > ( product_unit > int ) > set_Product_unit > product_unit ).
thf(func_def_3143,type,
sK727: int > ( $o > int ) > set_o > $o ).
thf(func_def_3144,type,
sK728: int > ( nat > int ) > set_nat > nat ).
thf(func_def_3145,type,
sK729: product_unit > ( int > product_unit ) > set_int > int ).
thf(func_def_3146,type,
sK730: product_unit > ( product_unit > product_unit ) > set_Product_unit > product_unit ).
thf(func_def_3147,type,
sK731: set_nat > ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3148,type,
sK732: set_nat > ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3149,type,
sK733: set_nat > ( $o > set_nat ) > set_o > $o ).
thf(func_def_3150,type,
sK734: set_nat > ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3151,type,
sK735: set_nat > ( int > set_nat ) > set_int > int ).
thf(func_def_3152,type,
sK736: int > set_set_int > set_int ).
thf(func_def_3153,type,
sK737: product_unit > set_set_Product_unit > set_Product_unit ).
thf(func_def_3154,type,
sK738: produc3843707927480180839at_nat > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3155,type,
sK739: product_prod_nat_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3156,type,
sK740: $o > set_set_o > set_o ).
thf(func_def_3157,type,
sK741: nat > set_set_nat > set_nat ).
thf(func_def_3158,type,
sK742: ( int > set_int ) > set_int > int ).
thf(func_def_3159,type,
sK743: ( int > set_Product_unit ) > set_int > int ).
thf(func_def_3160,type,
sK744: ( int > set_o ) > set_int > int ).
thf(func_def_3161,type,
sK745: ( product_unit > set_int ) > set_Product_unit > product_unit ).
thf(func_def_3162,type,
sK746: ( product_unit > set_Product_unit ) > set_Product_unit > product_unit ).
thf(func_def_3163,type,
sK747: ( product_unit > set_o ) > set_Product_unit > product_unit ).
thf(func_def_3164,type,
sK748: ( $o > set_int ) > set_o > $o ).
thf(func_def_3165,type,
sK749: ( $o > set_Product_unit ) > set_o > $o ).
thf(func_def_3166,type,
sK750: ( $o > set_o ) > set_o > $o ).
thf(func_def_3167,type,
sK751: ( nat > set_int ) > set_nat > nat ).
thf(func_def_3168,type,
sK752: ( int > set_int ) > set_int > int ).
thf(func_def_3169,type,
sK753: ( int > set_Product_unit ) > set_int > int ).
thf(func_def_3170,type,
sK754: ( int > set_o ) > set_int > int ).
thf(func_def_3171,type,
sK755: ( product_unit > set_int ) > set_Product_unit > product_unit ).
thf(func_def_3172,type,
sK756: ( product_unit > set_Product_unit ) > set_Product_unit > product_unit ).
thf(func_def_3173,type,
sK757: ( product_unit > set_o ) > set_Product_unit > product_unit ).
thf(func_def_3174,type,
sK758: ( $o > set_int ) > set_o > $o ).
thf(func_def_3175,type,
sK759: ( $o > set_Product_unit ) > set_o > $o ).
thf(func_def_3176,type,
sK760: ( $o > set_o ) > set_o > $o ).
thf(func_def_3177,type,
sK761: ( nat > set_int ) > set_nat > nat ).
thf(func_def_3178,type,
sK762: set_nat > ( nat > set_nat ) > nat > product_prod_nat_nat ).
thf(func_def_3179,type,
sK763: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3180,type,
sK764: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3181,type,
sK765: set_Product_prod_o_o > set_o > $o ).
thf(func_def_3182,type,
sK766: set_Product_prod_o_o > set_o > $o ).
thf(func_def_3183,type,
sK767: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3184,type,
sK768: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3185,type,
sK769: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3186,type,
sK770: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3187,type,
sK771: set_Pr1261947904930325089at_nat > set_nat > nat ).
thf(func_def_3188,type,
sK772: set_Pr1261947904930325089at_nat > set_nat > nat ).
thf(func_def_3189,type,
sK773: set_Pr958786334691620121nt_int > set_int > int ).
thf(func_def_3190,type,
sK774: set_Pr958786334691620121nt_int > set_int > int ).
thf(func_def_3191,type,
sK775: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3192,type,
sK776: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3193,type,
sK777: set_Product_unit > product_unit > set_Product_unit > ( product_unit > product_unit ) > product_unit ).
thf(func_def_3194,type,
sK778: set_Product_unit > product_unit > set_Product_unit > ( product_unit > product_unit ) > set_Product_unit ).
thf(func_def_3195,type,
sK779: set_Product_unit > product_unit > set_o > ( $o > product_unit ) > $o ).
thf(func_def_3196,type,
sK780: set_Product_unit > product_unit > set_o > ( $o > product_unit ) > set_o ).
thf(func_def_3197,type,
sK781: set_rat > rat > set_nat > ( nat > rat ) > nat ).
thf(func_def_3198,type,
sK782: set_rat > rat > set_nat > ( nat > rat ) > set_nat ).
thf(func_def_3199,type,
sK783: set_Product_unit > product_unit > set_nat > ( nat > product_unit ) > nat ).
thf(func_def_3200,type,
sK784: set_Product_unit > product_unit > set_nat > ( nat > product_unit ) > set_nat ).
thf(func_def_3201,type,
sK785: set_Product_unit > product_unit > set_int > ( int > product_unit ) > int ).
thf(func_def_3202,type,
sK786: set_Product_unit > product_unit > set_int > ( int > product_unit ) > set_int ).
thf(func_def_3203,type,
sK787: set_o > $o > set_Product_unit > ( product_unit > $o ) > product_unit ).
thf(func_def_3204,type,
sK788: set_o > $o > set_Product_unit > ( product_unit > $o ) > set_Product_unit ).
thf(func_def_3205,type,
sK789: set_o > $o > set_o > ( $o > $o ) > $o ).
thf(func_def_3206,type,
sK790: set_o > $o > set_o > ( $o > $o ) > set_o ).
thf(func_def_3207,type,
sK791: set_o > $o > set_nat > ( nat > $o ) > nat ).
thf(func_def_3208,type,
sK792: set_o > $o > set_nat > ( nat > $o ) > set_nat ).
thf(func_def_3209,type,
sK793: set_o > $o > set_int > ( int > $o ) > int ).
thf(func_def_3210,type,
sK794: set_o > $o > set_int > ( int > $o ) > set_int ).
thf(func_def_3211,type,
sK795: set_nat > nat > set_Product_unit > ( product_unit > nat ) > product_unit ).
thf(func_def_3212,type,
sK796: set_nat > nat > set_Product_unit > ( product_unit > nat ) > set_Product_unit ).
thf(func_def_3213,type,
sK797: ( $o > nat ) > nat > set_o > $o ).
thf(func_def_3214,type,
sK798: ( nat > nat ) > nat > set_nat > nat ).
thf(func_def_3215,type,
sK799: ( int > nat ) > nat > set_int > int ).
thf(func_def_3216,type,
sK800: ( $o > int ) > int > set_o > $o ).
thf(func_def_3217,type,
sK801: ( nat > int ) > int > set_nat > nat ).
thf(func_def_3218,type,
sK802: ( int > int ) > int > set_int > int ).
thf(func_def_3219,type,
sK803: ( $o > rat ) > rat > set_o > $o ).
thf(func_def_3220,type,
sK804: ( nat > rat ) > rat > set_nat > nat ).
thf(func_def_3221,type,
sK805: ( int > rat ) > rat > set_int > int ).
thf(func_def_3222,type,
sK806: ( $o > code_integer ) > code_integer > set_o > $o ).
thf(func_def_3223,type,
sK807: ( $o > nat ) > nat > set_o > $o ).
thf(func_def_3224,type,
sK808: ( nat > nat ) > nat > set_nat > nat ).
thf(func_def_3225,type,
sK809: ( int > nat ) > nat > set_int > int ).
thf(func_def_3226,type,
sK810: ( $o > int ) > int > set_o > $o ).
thf(func_def_3227,type,
sK811: ( nat > int ) > int > set_nat > nat ).
thf(func_def_3228,type,
sK812: ( int > int ) > int > set_int > int ).
thf(func_def_3229,type,
sK813: ( $o > rat ) > rat > set_o > $o ).
thf(func_def_3230,type,
sK814: ( nat > rat ) > rat > set_nat > nat ).
thf(func_def_3231,type,
sK815: ( int > rat ) > rat > set_int > int ).
thf(func_def_3232,type,
sK816: ( $o > code_integer ) > code_integer > set_o > $o ).
thf(func_def_3233,type,
sK817: nat > ( $o > nat ) > set_o > $o ).
thf(func_def_3234,type,
sK818: nat > ( nat > nat ) > set_nat > nat ).
thf(func_def_3235,type,
sK819: nat > ( int > nat ) > set_int > int ).
thf(func_def_3236,type,
sK820: int > ( $o > int ) > set_o > $o ).
thf(func_def_3237,type,
sK821: int > ( nat > int ) > set_nat > nat ).
thf(func_def_3238,type,
sK822: int > ( int > int ) > set_int > int ).
thf(func_def_3239,type,
sK823: rat > ( $o > rat ) > set_o > $o ).
thf(func_def_3240,type,
sK824: rat > ( nat > rat ) > set_nat > nat ).
thf(func_def_3241,type,
sK825: rat > ( int > rat ) > set_int > int ).
thf(func_def_3242,type,
sK826: code_integer > ( $o > code_integer ) > set_o > $o ).
thf(func_def_3243,type,
sK827: ( int > nat ) > set_nat > ( nat > nat ) > set_int > int ).
thf(func_def_3244,type,
sK828: ( int > nat ) > set_int > ( int > nat ) > set_int > int ).
thf(func_def_3245,type,
sK829: ( product_unit > nat ) > set_nat > ( nat > nat ) > set_Product_unit > product_unit ).
thf(func_def_3246,type,
sK830: ( product_unit > nat ) > set_int > ( int > nat ) > set_Product_unit > product_unit ).
thf(func_def_3247,type,
sK831: ( $o > nat ) > set_nat > ( nat > nat ) > set_o > $o ).
thf(func_def_3248,type,
sK832: ( $o > nat ) > set_int > ( int > nat ) > set_o > $o ).
thf(func_def_3249,type,
sK833: ( nat > nat ) > set_nat > ( nat > nat ) > set_nat > nat ).
thf(func_def_3250,type,
sK834: ( nat > nat ) > set_int > ( int > nat ) > set_nat > nat ).
thf(func_def_3251,type,
sK835: ( int > int ) > set_nat > ( nat > int ) > set_int > int ).
thf(func_def_3252,type,
sK836: ( int > int ) > set_int > ( int > int ) > set_int > int ).
thf(func_def_3253,type,
sK837: ( int > nat ) > set_nat > ( nat > nat ) > set_int > int ).
thf(func_def_3254,type,
sK838: ( int > nat ) > set_int > ( int > nat ) > set_int > int ).
thf(func_def_3255,type,
sK839: ( product_unit > nat ) > set_nat > ( nat > nat ) > set_Product_unit > product_unit ).
thf(func_def_3256,type,
sK840: ( product_unit > nat ) > set_int > ( int > nat ) > set_Product_unit > product_unit ).
thf(func_def_3257,type,
sK841: ( $o > nat ) > set_nat > ( nat > nat ) > set_o > $o ).
thf(func_def_3258,type,
sK842: ( $o > nat ) > set_int > ( int > nat ) > set_o > $o ).
thf(func_def_3259,type,
sK843: ( nat > nat ) > set_nat > ( nat > nat ) > set_nat > nat ).
thf(func_def_3260,type,
sK844: ( nat > nat ) > set_int > ( int > nat ) > set_nat > nat ).
thf(func_def_3261,type,
sK845: ( int > int ) > set_nat > ( nat > int ) > set_int > int ).
thf(func_def_3262,type,
sK846: ( int > int ) > set_int > ( int > int ) > set_int > int ).
thf(func_def_3263,type,
sK847: ( $o > set_int ) > set_o > set_int > $o ).
thf(func_def_3264,type,
sK848: ( nat > set_int ) > set_nat > set_int > nat ).
thf(func_def_3265,type,
sK849: ( int > set_int ) > set_int > set_int > int ).
thf(func_def_3266,type,
sK850: ( $o > set_int ) > set_o > set_int > $o ).
thf(func_def_3267,type,
sK851: ( nat > set_int ) > set_nat > set_int > nat ).
thf(func_def_3268,type,
sK852: ( int > set_int ) > set_int > set_int > int ).
thf(func_def_3269,type,
sK853: ( $o > set_nat ) > set_o > set_nat > $o ).
thf(func_def_3270,type,
sK854: ( $o > set_nat ) > set_o > set_nat > $o ).
thf(func_def_3271,type,
sK855: ( nat > set_nat ) > set_nat > set_nat > nat ).
thf(func_def_3272,type,
sK856: ( nat > set_nat ) > set_nat > set_nat > nat ).
thf(func_def_3273,type,
sK857: ( int > nat ) > set_int > ( int > nat ) > int ).
thf(func_def_3274,type,
sK858: ( product_unit > nat ) > set_Product_unit > ( product_unit > nat ) > product_unit ).
thf(func_def_3275,type,
sK859: ( $o > nat ) > set_o > ( $o > nat ) > $o ).
thf(func_def_3276,type,
sK860: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).
thf(func_def_3277,type,
sK861: ( int > int ) > set_int > ( int > int ) > int ).
thf(func_def_3278,type,
sK862: ( product_unit > int ) > set_Product_unit > ( product_unit > int ) > product_unit ).
thf(func_def_3279,type,
sK863: ( $o > int ) > set_o > ( $o > int ) > $o ).
thf(func_def_3280,type,
sK864: ( nat > int ) > set_nat > ( nat > int ) > nat ).
thf(func_def_3281,type,
sK865: ( int > product_unit ) > set_int > ( int > product_unit ) > int ).
thf(func_def_3282,type,
sK866: ( product_unit > product_unit ) > set_Product_unit > ( product_unit > product_unit ) > product_unit ).
thf(func_def_3283,type,
sK867: ( int > nat ) > ( int > nat ) > set_int > int ).
thf(func_def_3284,type,
sK868: ( product_unit > nat ) > ( product_unit > nat ) > set_Product_unit > product_unit ).
thf(func_def_3285,type,
sK869: ( $o > nat ) > ( $o > nat ) > set_o > $o ).
thf(func_def_3286,type,
sK870: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).
thf(func_def_3287,type,
sK871: ( int > int ) > ( int > int ) > set_int > int ).
thf(func_def_3288,type,
sK872: ( product_unit > int ) > ( product_unit > int ) > set_Product_unit > product_unit ).
thf(func_def_3289,type,
sK873: ( $o > int ) > ( $o > int ) > set_o > $o ).
thf(func_def_3290,type,
sK874: ( nat > int ) > ( nat > int ) > set_nat > nat ).
thf(func_def_3291,type,
sK875: ( int > product_unit ) > ( int > product_unit ) > set_int > int ).
thf(func_def_3292,type,
sK876: ( product_unit > product_unit ) > ( product_unit > product_unit ) > set_Product_unit > product_unit ).
thf(func_def_3293,type,
sK877: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3294,type,
sK878: set_Pr958786334691620121nt_int > int ).
thf(func_def_3295,type,
sK879: set_Pr8693737435421807431at_nat > product_prod_nat_nat ).
thf(func_def_3296,type,
sK880: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3297,type,
sK881: set_Pr1261947904930325089at_nat > nat ).
thf(func_def_3298,type,
sK882: set_int > ( int > int ) > int ).
thf(func_def_3299,type,
sK883: set_nat > ( nat > rat ) > rat ).
thf(func_def_3300,type,
sK884: set_nat > ( nat > int ) > int ).
thf(func_def_3301,type,
sK885: set_nat > ( nat > product_unit ) > product_unit ).
thf(func_def_3302,type,
sK886: set_nat > ( nat > $o ) > $o ).
thf(func_def_3303,type,
sK887: set_int > ( int > nat ) > nat ).
thf(func_def_3304,type,
sK888: set_nat > ( nat > nat ) > nat ).
thf(func_def_3305,type,
sK889: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_unit ) > product_unit ).
thf(func_def_3306,type,
sK890: set_nat > ( nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_3307,type,
sK891: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > $o ) > $o ).
thf(func_def_3308,type,
sK892: set_int > ( int > int ) > int ).
thf(func_def_3309,type,
sK893: set_nat > ( nat > rat ) > rat ).
thf(func_def_3310,type,
sK894: set_nat > ( nat > int ) > int ).
thf(func_def_3311,type,
sK895: set_nat > ( nat > product_unit ) > product_unit ).
thf(func_def_3312,type,
sK896: set_nat > ( nat > $o ) > $o ).
thf(func_def_3313,type,
sK897: set_int > ( int > nat ) > nat ).
thf(func_def_3314,type,
sK898: set_nat > ( nat > nat ) > nat ).
thf(func_def_3315,type,
sK899: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > int ) > int ).
thf(func_def_3316,type,
sK900: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_unit ) > product_unit ).
thf(func_def_3317,type,
sK901: set_nat > ( nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_3318,type,
sK902: ( produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3319,type,
sK903: ( $o > set_Pr1261947904930325089at_nat ) > set_o > $o ).
thf(func_def_3320,type,
sK904: ( int > set_Pr1261947904930325089at_nat ) > set_int > int ).
thf(func_def_3321,type,
sK905: ( product_prod_nat_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3322,type,
sK906: ( nat > set_Pr1261947904930325089at_nat ) > set_nat > nat ).
thf(func_def_3323,type,
sK907: ( produc3843707927480180839at_nat > set_nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3324,type,
sK908: ( $o > set_nat ) > set_o > $o ).
thf(func_def_3325,type,
sK909: ( int > set_nat ) > set_int > int ).
thf(func_def_3326,type,
sK910: ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3327,type,
sK911: ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3328,type,
sK912: set_rat > nat > rat ).
thf(func_def_3329,type,
sK913: set_int > nat > int ).
thf(func_def_3330,type,
sK914: set_Pr1261947904930325089at_nat > nat > product_prod_nat_nat ).
thf(func_def_3331,type,
sK915: set_nat > nat > nat ).
thf(func_def_3332,type,
sK916: produc859450856879609959at_nat > product_prod_nat_nat ).
thf(func_def_3333,type,
sK917: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3334,type,
sK918: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3335,type,
sK919: product_prod_nat_nat > nat ).
thf(func_def_3336,type,
sK920: product_prod_int_int > int ).
thf(func_def_3337,type,
sK921: set_int > set_int > int > int ).
thf(func_def_3338,type,
sK922: set_nat > set_int > int > nat ).
thf(func_def_3339,type,
sK923: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_3340,type,
sK924: set_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > nat ).
thf(func_def_3341,type,
sK925: set_rat > set_nat > nat > rat ).
thf(func_def_3342,type,
sK926: set_int > set_nat > nat > int ).
thf(func_def_3343,type,
sK927: set_Pr1261947904930325089at_nat > set_nat > nat > product_prod_nat_nat ).
thf(func_def_3344,type,
sK928: set_nat > set_nat > nat > nat ).
thf(func_def_3345,type,
sK929: ( int > int ) > set_int > int ).
thf(func_def_3346,type,
sK930: ( $o > nat ) > set_o > $o ).
thf(func_def_3347,type,
sK931: ( int > nat ) > set_int > int ).
thf(func_def_3348,type,
sK932: ( nat > rat ) > set_nat > nat ).
thf(func_def_3349,type,
sK933: ( nat > int ) > set_nat > nat ).
thf(func_def_3350,type,
sK934: ( nat > nat ) > set_nat > nat ).
thf(func_def_3351,type,
sK935: ( $o > product_prod_nat_nat ) > set_o > $o ).
thf(func_def_3352,type,
sK936: ( int > product_prod_nat_nat ) > set_int > int ).
thf(func_def_3353,type,
sK937: ( product_prod_int_int > nat ) > set_Pr958786334691620121nt_int > product_prod_int_int ).
thf(func_def_3354,type,
sK938: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3355,type,
sK939: set_int > ( int > int ) > set_int > set_int ).
thf(func_def_3356,type,
sK940: set_nat > ( nat > rat ) > set_rat > set_nat ).
thf(func_def_3357,type,
sK941: set_nat > ( nat > int ) > set_int > set_nat ).
thf(func_def_3358,type,
sK942: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3359,type,
sK943: set_nat > ( nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_nat ).
thf(func_def_3360,type,
sK944: set_int > ( int > nat ) > set_nat > set_int ).
thf(func_def_3361,type,
sK945: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > set_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3362,type,
sK946: set_nat > ( nat > nat ) > set_nat > set_nat ).
thf(func_def_3363,type,
sK947: set_nat > ( nat > product_unit ) > product_unit ).
thf(func_def_3364,type,
sK948: set_nat > ( nat > $o ) > $o ).
thf(func_def_3365,type,
sK949: set_int > ( int > nat ) > nat ).
thf(func_def_3366,type,
sK950: set_nat > ( nat > nat ) > nat ).
thf(func_def_3367,type,
sK951: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_unit ) > product_unit ).
thf(func_def_3368,type,
sK952: set_nat > ( nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_3369,type,
sK953: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > $o ) > $o ).
thf(func_def_3370,type,
sK954: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > nat ).
thf(func_def_3371,type,
sK955: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_3372,type,
sK956: set_nat > ( nat > produc3843707927480180839at_nat ) > produc3843707927480180839at_nat ).
thf(func_def_3373,type,
sK957: ( nat > $o ) > nat > nat ).
thf(func_def_3374,type,
sK958: ( nat > $o ) > nat > nat ).
thf(func_def_3375,type,
sK959: nat > rat ).
thf(func_def_3376,type,
sK960: product_unit > $o ).
thf(func_def_3377,type,
sK961: ( product_unit > $o ) > $o ).
thf(func_def_3378,type,
sK962: ( $o > $o ) > product_unit ).
thf(func_def_3379,type,
sK963: $o > product_unit ).
thf(func_def_3380,type,
sK964: list_nat > nat > nat ).
thf(func_def_3381,type,
sK965: list_nat > nat > nat ).
thf(func_def_3382,type,
sK966: set_nat > ( nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_3383,type,
sK967: set_nat > ( nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_3384,type,
sK968: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > ( set_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_3385,type,
sK969: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_3386,type,
sK970: set_int > ( int > nat ) > ( set_nat > $o ) > set_int ).
thf(func_def_3387,type,
sK971: set_int > ( int > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_3388,type,
sK972: set_nat > ( nat > product_prod_nat_nat ) > ( set_Pr1261947904930325089at_nat > $o ) > set_nat ).
thf(func_def_3389,type,
sK973: set_nat > ( nat > product_prod_nat_nat ) > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_3390,type,
sK974: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_3391,type,
sK975: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_3392,type,
sK976: set_nat > ( nat > int ) > ( set_int > $o ) > set_nat ).
thf(func_def_3393,type,
sK977: set_nat > ( nat > int ) > ( set_int > $o ) > set_int ).
thf(func_def_3394,type,
sK978: set_nat > ( nat > rat ) > ( set_rat > $o ) > set_nat ).
thf(func_def_3395,type,
sK979: set_nat > ( nat > rat ) > ( set_rat > $o ) > set_rat ).
thf(func_def_3396,type,
sK980: set_int > ( int > int ) > ( set_int > $o ) > set_int ).
thf(func_def_3397,type,
sK981: set_int > ( int > int ) > ( set_int > $o ) > set_int ).
thf(func_def_3398,type,
sK982: set_nat > ( nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_3399,type,
sK983: set_nat > ( nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_3400,type,
sK984: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_3401,type,
sK985: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > ( set_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_3402,type,
sK986: set_int > ( int > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_3403,type,
sK987: set_int > ( int > nat ) > ( set_nat > $o ) > set_int ).
thf(func_def_3404,type,
sK988: set_nat > ( nat > product_prod_nat_nat ) > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_3405,type,
sK989: set_nat > ( nat > product_prod_nat_nat ) > ( set_Pr1261947904930325089at_nat > $o ) > set_nat ).
thf(func_def_3406,type,
sK990: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_3407,type,
sK991: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_3408,type,
sK992: set_nat > ( nat > int ) > ( set_int > $o ) > set_int ).
thf(func_def_3409,type,
sK993: set_nat > ( nat > int ) > ( set_int > $o ) > set_nat ).
thf(func_def_3410,type,
sK994: set_nat > ( nat > rat ) > ( set_rat > $o ) > set_rat ).
thf(func_def_3411,type,
sK995: set_nat > ( nat > rat ) > ( set_rat > $o ) > set_nat ).
thf(func_def_3412,type,
sK996: set_int > ( int > int ) > ( set_int > $o ) > set_int ).
thf(func_def_3413,type,
sK997: set_int > ( int > int ) > ( set_int > $o ) > set_int ).
thf(func_def_3414,type,
sK998: nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_3415,type,
sK999: set_nat > set_nat > ( nat > nat ) > nat ).
thf(func_def_3416,type,
sK1000: product_prod_nat_nat > set_nat > ( nat > product_prod_nat_nat ) > nat ).
thf(func_def_3417,type,
sK1001: set_Pr1261947904930325089at_nat > set_nat > ( nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_3418,type,
sK1002: int > set_nat > ( nat > int ) > nat ).
thf(func_def_3419,type,
sK1003: set_int > set_nat > ( nat > int ) > int ).
thf(func_def_3420,type,
sK1004: rat > set_nat > ( nat > rat ) > nat ).
thf(func_def_3421,type,
sK1005: set_rat > set_nat > ( nat > rat ) > rat ).
thf(func_def_3422,type,
sK1006: nat > set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > product_prod_nat_nat ).
thf(func_def_3423,type,
sK1007: set_nat > set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > nat ) > nat ).
thf(func_def_3424,type,
sK1008: product_prod_nat_nat > set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_3425,type,
sK1009: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).
thf(func_def_3426,type,
sK1010: nat > set_int > ( int > nat ) > int ).
thf(func_def_3427,type,
sK1011: set_nat > set_int > ( int > nat ) > nat ).
thf(func_def_3428,type,
sK1012: int > set_int > ( int > int ) > int ).
thf(func_def_3429,type,
sK1013: set_int > set_int > ( int > int ) > int ).
thf(func_def_3430,type,
sK1014: set_nat > set_nat > nat > nat ).
thf(func_def_3431,type,
sK1015: set_Pr1261947904930325089at_nat > set_nat > nat > product_prod_nat_nat ).
thf(func_def_3432,type,
sK1016: set_int > set_nat > nat > int ).
thf(func_def_3433,type,
sK1017: set_rat > set_nat > nat > rat ).
thf(func_def_3434,type,
sK1018: set_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > nat ).
thf(func_def_3435,type,
sK1019: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_3436,type,
sK1020: set_nat > set_int > int > nat ).
thf(func_def_3437,type,
sK1021: set_int > set_int > int > int ).
thf(func_def_3438,type,
sK1022: set_nat > nat > nat ).
thf(func_def_3439,type,
sK1023: set_Pr1261947904930325089at_nat > nat > product_prod_nat_nat ).
thf(func_def_3440,type,
sK1024: set_int > nat > int ).
thf(func_def_3441,type,
sK1025: set_rat > nat > rat ).
thf(func_def_3442,type,
sK1026: ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3443,type,
sK1027: ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3444,type,
sK1028: ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3445,type,
sK1029: ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3446,type,
sK1030: ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3447,type,
sK1031: ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3448,type,
sK1032: ( nat > set_Pr1261947904930325089at_nat ) > set_nat > nat ).
thf(func_def_3449,type,
sK1033: ( product_prod_nat_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3450,type,
sK1034: set_nat > set_Pr1261947904930325089at_nat > nat ).
thf(func_def_3451,type,
sK1035: set_Pr1261947904930325089at_nat > set_nat ).
thf(func_def_3452,type,
sK1036: nat > set_Pr1261947904930325089at_nat > nat ).
thf(func_def_3453,type,
sK1037: set_o > set_Product_prod_o_o > $o ).
thf(func_def_3454,type,
sK1038: set_Product_prod_o_o > set_o ).
thf(func_def_3455,type,
sK1039: $o > set_Product_prod_o_o > $o ).
thf(func_def_3456,type,
sK1040: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat ).
thf(func_def_3457,type,
sK1041: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3458,type,
sK1042: product_prod_nat_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat ).
thf(func_def_3459,type,
sK1043: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > produc3843707927480180839at_nat ).
thf(func_def_3460,type,
sK1044: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3461,type,
sK1045: produc3843707927480180839at_nat > set_Pr5564308138774400199at_nat > produc3843707927480180839at_nat ).
thf(func_def_3462,type,
sK1046: set_Product_unit > set_Pr5094982260447487303t_unit > product_unit ).
thf(func_def_3463,type,
sK1047: set_Pr5094982260447487303t_unit > set_Product_unit ).
thf(func_def_3464,type,
sK1048: product_unit > set_Pr5094982260447487303t_unit > product_unit ).
thf(func_def_3465,type,
sK1049: set_int > set_Pr958786334691620121nt_int > int ).
thf(func_def_3466,type,
sK1050: set_Pr958786334691620121nt_int > set_int ).
thf(func_def_3467,type,
sK1051: int > set_Pr958786334691620121nt_int > int ).
thf(func_def_3468,type,
sK1052: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3469,type,
sK1053: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat ).
thf(func_def_3470,type,
sK1054: set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3471,type,
sK1055: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3472,type,
sK1056: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat ).
thf(func_def_3473,type,
sK1057: set_Pr4329608150637261639at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3474,type,
sK1058: set_Pr1261947904930325089at_nat > nat ).
thf(func_def_3475,type,
sK1059: set_Pr1261947904930325089at_nat > nat ).
thf(func_def_3476,type,
sK1060: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3477,type,
sK1061: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3478,type,
sK1062: set_Pr8693737435421807431at_nat > product_prod_nat_nat ).
thf(func_def_3479,type,
sK1063: set_Pr8693737435421807431at_nat > product_prod_nat_nat ).
thf(func_def_3480,type,
sK1064: set_Pr958786334691620121nt_int > int ).
thf(func_def_3481,type,
sK1065: set_Pr958786334691620121nt_int > int ).
thf(func_def_3482,type,
sK1066: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3483,type,
sK1067: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3484,type,
sK1068: ( $o > product_unit ) > set_o > product_unit > $o ).
thf(func_def_3485,type,
sK1069: ( product_unit > product_unit ) > set_Product_unit > product_unit > product_unit ).
thf(func_def_3486,type,
sK1070: ( nat > int ) > set_nat > int > nat ).
thf(func_def_3487,type,
sK1071: ( $o > int ) > set_o > int > $o ).
thf(func_def_3488,type,
sK1072: ( product_unit > int ) > set_Product_unit > int > product_unit ).
thf(func_def_3489,type,
sK1073: ( int > int ) > set_int > int > int ).
thf(func_def_3490,type,
sK1074: ( nat > nat ) > set_nat > nat > nat ).
thf(func_def_3491,type,
sK1075: ( $o > nat ) > set_o > nat > $o ).
thf(func_def_3492,type,
sK1076: ( product_unit > nat ) > set_Product_unit > nat > product_unit ).
thf(func_def_3493,type,
sK1077: ( int > nat ) > set_int > nat > int ).
thf(func_def_3494,type,
sK1078: ( $o > product_unit ) > set_o > product_unit > $o ).
thf(func_def_3495,type,
sK1079: ( product_unit > product_unit ) > set_Product_unit > product_unit > product_unit ).
thf(func_def_3496,type,
sK1080: ( nat > int ) > set_nat > int > nat ).
thf(func_def_3497,type,
sK1081: ( $o > int ) > set_o > int > $o ).
thf(func_def_3498,type,
sK1082: ( product_unit > int ) > set_Product_unit > int > product_unit ).
thf(func_def_3499,type,
sK1083: ( int > int ) > set_int > int > int ).
thf(func_def_3500,type,
sK1084: ( nat > nat ) > set_nat > nat > nat ).
thf(func_def_3501,type,
sK1085: ( $o > nat ) > set_o > nat > $o ).
thf(func_def_3502,type,
sK1086: ( product_unit > nat ) > set_Product_unit > nat > product_unit ).
thf(func_def_3503,type,
sK1087: ( int > nat ) > set_int > nat > int ).
thf(func_def_3504,type,
sK1088: set_int > set_nat > int > nat ).
thf(func_def_3505,type,
sK1089: set_int > set_nat > nat > int ).
thf(func_def_3506,type,
sK1090: set_nat > set_nat > nat > nat ).
thf(func_def_3507,type,
sK1091: set_nat > set_nat > nat > nat ).
thf(func_def_3508,type,
sK1092: set_rat > set_nat > rat > nat ).
thf(func_def_3509,type,
sK1093: set_rat > set_nat > nat > rat ).
thf(func_def_3510,type,
sK1094: set_int > set_int > int > int ).
thf(func_def_3511,type,
sK1095: set_int > set_int > int > int ).
thf(func_def_3512,type,
sK1096: set_nat > set_int > nat > int ).
thf(func_def_3513,type,
sK1097: set_nat > set_int > int > nat ).
thf(func_def_3514,type,
sK1098: set_nat > set_rat > nat > rat ).
thf(func_def_3515,type,
sK1099: set_nat > set_rat > rat > nat ).
thf(func_def_3516,type,
sK1100: int > ( nat > int ) > nat ).
thf(func_def_3517,type,
sK1101: int > ( nat > int ) > nat > nat ).
thf(func_def_3518,type,
sK1102: nat > ( nat > nat ) > nat ).
thf(func_def_3519,type,
sK1103: nat > ( nat > nat ) > nat > nat ).
thf(func_def_3520,type,
sK1104: $o > ( nat > $o ) > nat ).
thf(func_def_3521,type,
sK1105: $o > ( nat > $o ) > nat > nat ).
thf(func_def_3522,type,
sK1106: rat > ( nat > rat ) > nat ).
thf(func_def_3523,type,
sK1107: rat > ( nat > rat ) > nat > nat ).
thf(func_def_3524,type,
sK1108: int > ( rat > int ) > rat ).
thf(func_def_3525,type,
sK1109: int > ( rat > int ) > rat > rat ).
thf(func_def_3526,type,
sK1110: nat > ( rat > nat ) > rat ).
thf(func_def_3527,type,
sK1111: nat > ( rat > nat ) > rat > rat ).
thf(func_def_3528,type,
sK1112: $o > ( rat > $o ) > rat ).
thf(func_def_3529,type,
sK1113: $o > ( rat > $o ) > rat > rat ).
thf(func_def_3530,type,
sK1114: int > ( char > int ) > char ).
thf(func_def_3531,type,
sK1115: int > ( char > int ) > char > char ).
thf(func_def_3532,type,
sK1116: nat > ( char > nat ) > char ).
thf(func_def_3533,type,
sK1117: nat > ( char > nat ) > char > char ).
thf(func_def_3534,type,
sK1118: $o > ( char > $o ) > char ).
thf(func_def_3535,type,
sK1119: $o > ( char > $o ) > char > char ).
thf(func_def_3536,type,
sK1120: ( int > int ) > set_int > set_int > set_int ).
thf(func_def_3537,type,
sK1121: ( int > nat ) > set_nat > set_int > set_int ).
thf(func_def_3538,type,
sK1122: ( nat > int ) > set_int > set_nat > set_nat ).
thf(func_def_3539,type,
sK1123: ( nat > nat ) > set_nat > set_nat > set_nat ).
thf(func_def_3540,type,
sK1124: ( nat > rat ) > set_rat > set_nat > set_nat ).
thf(func_def_3541,type,
sK1125: set_Pr958786334691620121nt_int > set_int > int ).
thf(func_def_3542,type,
sK1126: set_Pr958786334691620121nt_int > set_int > int ).
thf(func_def_3543,type,
sK1127: set_Pr1261947904930325089at_nat > set_nat > nat ).
thf(func_def_3544,type,
sK1128: set_Pr1261947904930325089at_nat > set_nat > nat ).
thf(func_def_3545,type,
sK1129: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3546,type,
sK1130: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3547,type,
sK1131: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3548,type,
sK1132: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3549,type,
sK1133: set_nat > set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_nat ) > product_prod_nat_nat ).
thf(func_def_3550,type,
sK1134: set_nat > set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > set_nat ) > product_prod_nat_nat ).
thf(func_def_3551,type,
sK1135: product_unit > set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_unit ) > product_prod_nat_nat ).
thf(func_def_3552,type,
sK1136: product_unit > set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > product_unit ) > product_prod_nat_nat ).
thf(func_def_3553,type,
sK1137: set_nat > set_nat > ( nat > set_nat ) > nat ).
thf(func_def_3554,type,
sK1138: set_nat > set_nat > ( nat > set_nat ) > nat ).
thf(func_def_3555,type,
sK1139: set_nat > set_o > ( $o > set_nat ) > $o ).
thf(func_def_3556,type,
sK1140: set_nat > set_o > ( $o > set_nat ) > $o ).
thf(func_def_3557,type,
sK1141: set_nat > set_Product_unit > ( product_unit > set_nat ) > product_unit ).
thf(func_def_3558,type,
sK1142: set_nat > set_Product_unit > ( product_unit > set_nat ) > product_unit ).
thf(func_def_3559,type,
sK1143: set_nat > set_int > ( int > set_nat ) > int ).
thf(func_def_3560,type,
sK1144: set_nat > set_int > ( int > set_nat ) > int ).
thf(func_def_3561,type,
sK1145: product_unit > set_nat > ( nat > product_unit ) > nat ).
thf(func_def_3562,type,
sK1146: product_unit > set_nat > ( nat > product_unit ) > nat ).
thf(func_def_3563,type,
sK1147: product_unit > set_o > ( $o > product_unit ) > $o ).
thf(func_def_3564,type,
sK1148: product_unit > set_o > ( $o > product_unit ) > $o ).
thf(func_def_3565,type,
sK1149: product_unit > set_Product_unit > ( product_unit > product_unit ) > product_unit ).
thf(func_def_3566,type,
sK1150: product_unit > set_Product_unit > ( product_unit > product_unit ) > product_unit ).
thf(func_def_3567,type,
sK1151: product_unit > set_int > ( int > product_unit ) > int ).
thf(func_def_3568,type,
sK1152: product_unit > set_int > ( int > product_unit ) > int ).
thf(func_def_3569,type,
sK1153: ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > set_nat > product_prod_nat_nat ).
thf(func_def_3570,type,
sK1154: ( product_prod_nat_nat > set_nat ) > set_Pr1261947904930325089at_nat > set_nat > product_prod_nat_nat ).
thf(func_def_3571,type,
sK1155: ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > product_unit > product_prod_nat_nat ).
thf(func_def_3572,type,
sK1156: ( product_prod_nat_nat > product_unit ) > set_Pr1261947904930325089at_nat > product_unit > product_prod_nat_nat ).
thf(func_def_3573,type,
sK1157: ( nat > set_nat ) > set_nat > set_nat > nat ).
thf(func_def_3574,type,
sK1158: ( nat > set_nat ) > set_nat > set_nat > nat ).
thf(func_def_3575,type,
sK1159: ( $o > set_nat ) > set_o > set_nat > $o ).
thf(func_def_3576,type,
sK1160: ( $o > set_nat ) > set_o > set_nat > $o ).
thf(func_def_3577,type,
sK1161: ( product_unit > set_nat ) > set_Product_unit > set_nat > product_unit ).
thf(func_def_3578,type,
sK1162: ( product_unit > set_nat ) > set_Product_unit > set_nat > product_unit ).
thf(func_def_3579,type,
sK1163: ( int > set_nat ) > set_int > set_nat > int ).
thf(func_def_3580,type,
sK1164: ( int > set_nat ) > set_int > set_nat > int ).
thf(func_def_3581,type,
sK1165: ( nat > product_unit ) > set_nat > product_unit > nat ).
thf(func_def_3582,type,
sK1166: ( nat > product_unit ) > set_nat > product_unit > nat ).
thf(func_def_3583,type,
sK1167: ( $o > product_unit ) > set_o > product_unit > $o ).
thf(func_def_3584,type,
sK1168: ( $o > product_unit ) > set_o > product_unit > $o ).
thf(func_def_3585,type,
sK1169: ( product_unit > product_unit ) > set_Product_unit > product_unit > product_unit ).
thf(func_def_3586,type,
sK1170: ( product_unit > product_unit ) > set_Product_unit > product_unit > product_unit ).
thf(func_def_3587,type,
sK1171: ( int > product_unit ) > set_int > product_unit > int ).
thf(func_def_3588,type,
sK1172: ( int > product_unit ) > set_int > product_unit > int ).
thf(func_def_3589,type,
sK1173: set_Pr958786334691620121nt_int > set_int > int ).
thf(func_def_3590,type,
sK1174: set_Pr1261947904930325089at_nat > set_nat > nat ).
thf(func_def_3591,type,
sK1175: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3592,type,
sK1176: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3593,type,
sK1177: set_Pr958786334691620121nt_int > set_int > int ).
thf(func_def_3594,type,
sK1178: set_Pr1261947904930325089at_nat > set_nat > nat ).
thf(func_def_3595,type,
sK1179: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3596,type,
sK1180: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3597,type,
sK1181: set_Pr958786334691620121nt_int > set_int > int ).
thf(func_def_3598,type,
sK1182: set_Pr1261947904930325089at_nat > set_nat > nat ).
thf(func_def_3599,type,
sK1183: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3600,type,
sK1184: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3601,type,
sK1185: ( nat > set_nat ) > set_nat > nat ).
thf(func_def_3602,type,
sK1186: ( set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ) > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3603,type,
sK1187: ( int > nat > nat ) > set_int > int ).
thf(func_def_3604,type,
sK1188: ( int > nat > nat ) > set_int > int ).
thf(func_def_3605,type,
sK1189: ( nat > nat > nat ) > set_nat > nat ).
thf(func_def_3606,type,
sK1190: ( nat > nat > nat ) > set_nat > nat ).
thf(func_def_3607,type,
sK1191: ( $o > nat > nat ) > set_o > $o ).
thf(func_def_3608,type,
sK1192: ( $o > nat > nat ) > set_o > $o ).
thf(func_def_3609,type,
sK1193: ( product_prod_nat_nat > nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3610,type,
sK1194: ( product_prod_nat_nat > nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3611,type,
sK1195: ( produc3843707927480180839at_nat > nat > nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3612,type,
sK1196: ( produc3843707927480180839at_nat > nat > nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3613,type,
sK1197: ( int > nat > nat ) > set_int > int ).
thf(func_def_3614,type,
sK1198: ( int > nat > nat ) > set_int > int ).
thf(func_def_3615,type,
sK1199: ( nat > nat > nat ) > set_nat > nat ).
thf(func_def_3616,type,
sK1200: ( nat > nat > nat ) > set_nat > nat ).
thf(func_def_3617,type,
sK1201: ( $o > nat > nat ) > set_o > $o ).
thf(func_def_3618,type,
sK1202: ( $o > nat > nat ) > set_o > $o ).
thf(func_def_3619,type,
sK1203: ( product_prod_nat_nat > nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3620,type,
sK1204: ( product_prod_nat_nat > nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).
thf(func_def_3621,type,
sK1205: ( produc3843707927480180839at_nat > nat > nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3622,type,
sK1206: ( produc3843707927480180839at_nat > nat > nat ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).
thf(func_def_3623,type,
sK1207: set_Pr958786334691620121nt_int > ( product_prod_int_int > $o ) > product_prod_int_int ).
thf(func_def_3624,type,
sK1208: set_nat > ( nat > $o ) > nat ).
thf(func_def_3625,type,
sK1209: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_3626,type,
sK1210: set_int > ( int > $o ) > int ).
thf(func_def_3627,type,
sK1211: set_o > ( $o > $o ) > $o ).
thf(func_def_3628,type,
sK1212: set_Pr4329608150637261639at_nat > ( produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat ).
thf(func_def_3629,type,
sK1213: ( list_nat > nat ) > ( nat > nat > $o ) > ( list_nat > nat ) > list_nat > product_prod_nat_nat ).
thf(func_def_3630,type,
sK1214: ( int > int ) > ( int > int > $o ) > ( int > int ) > int > product_prod_int_int ).
thf(func_def_3631,type,
sK1215: ( nat > int ) > ( int > int > $o ) > ( nat > int ) > nat > product_prod_int_int ).
thf(func_def_3632,type,
sK1216: ( rat > int ) > ( int > int > $o ) > ( rat > int ) > rat > product_prod_int_int ).
thf(func_def_3633,type,
sK1217: ( char > int ) > ( int > int > $o ) > ( char > int ) > char > product_prod_int_int ).
thf(func_def_3634,type,
sK1218: ( int > num ) > ( num > num > $o ) > ( int > num ) > int > product_prod_num_num ).
thf(func_def_3635,type,
sK1219: ( int > nat ) > ( nat > nat > $o ) > ( int > nat ) > int > product_prod_nat_nat ).
thf(func_def_3636,type,
sK1220: ( nat > nat ) > ( nat > nat > $o ) > ( nat > nat ) > nat > product_prod_nat_nat ).
thf(func_def_3637,type,
sK1221: ( rat > nat ) > ( nat > nat > $o ) > ( rat > nat ) > rat > product_prod_nat_nat ).
thf(func_def_3638,type,
sK1222: ( char > nat ) > ( nat > nat > $o ) > ( char > nat ) > char > product_prod_nat_nat ).
thf(func_def_3639,type,
sK1223: rat > ( nat > rat ) > nat ).
thf(func_def_3640,type,
sK1224: ( nat > rat ) > rat ).
thf(func_def_3641,type,
sK1225: char > ( nat > char ) > nat ).
thf(func_def_3642,type,
sK1226: ( nat > char ) > char ).
thf(func_def_3643,type,
sK1227: int > ( rat > int ) > rat ).
thf(func_def_3644,type,
sK1228: ( rat > int ) > int ).
thf(func_def_3645,type,
sK1229: nat > ( rat > nat ) > rat ).
thf(func_def_3646,type,
sK1230: ( rat > nat ) > nat ).
thf(func_def_3647,type,
sK1231: rat > ( rat > rat ) > rat ).
thf(func_def_3648,type,
sK1232: ( rat > rat ) > rat ).
thf(func_def_3649,type,
sK1233: char > ( rat > char ) > rat ).
thf(func_def_3650,type,
sK1234: ( rat > char ) > char ).
thf(func_def_3651,type,
sK1235: int > ( char > int ) > char ).
thf(func_def_3652,type,
sK1236: ( char > int ) > int ).
thf(func_def_3653,type,
sK1237: nat > ( char > nat ) > char ).
thf(func_def_3654,type,
sK1238: ( char > nat ) > nat ).
thf(func_def_3655,type,
sK1239: rat > ( char > rat ) > char ).
thf(func_def_3656,type,
sK1240: ( char > rat ) > rat ).
thf(func_def_3657,type,
sK1241: char > ( char > char ) > char ).
thf(func_def_3658,type,
sK1242: ( char > char ) > char ).
thf(func_def_3659,type,
sK1243: ( int > code_integer > $o ) > int > ( int > int > $o ) > code_integer > int ).
thf(func_def_3660,type,
sK1244: ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > int > product_prod_nat_nat ).
thf(func_def_3661,type,
sK1245: set_int > ( int > int ) > ( set_int > $o ) > set_int ).
thf(func_def_3662,type,
sK1246: set_int > ( int > int ) > ( set_int > $o ) > set_int ).
thf(func_def_3663,type,
sK1247: set_int > ( int > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_3664,type,
sK1248: set_int > ( int > nat ) > ( set_nat > $o ) > set_int ).
thf(func_def_3665,type,
sK1249: set_nat > ( nat > int ) > ( set_int > $o ) > set_int ).
thf(func_def_3666,type,
sK1250: set_nat > ( nat > int ) > ( set_int > $o ) > set_nat ).
thf(func_def_3667,type,
sK1251: set_nat > ( nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_3668,type,
sK1252: set_nat > ( nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_3669,type,
sK1253: set_nat > ( nat > rat ) > ( set_rat > $o ) > set_rat ).
thf(func_def_3670,type,
sK1254: set_nat > ( nat > rat ) > ( set_rat > $o ) > set_nat ).
thf(func_def_3671,type,
sK1255: ( int > int ) > int > set_int > int ).
thf(func_def_3672,type,
sK1256: ( nat > int ) > int > set_nat > nat ).
thf(func_def_3673,type,
sK1257: ( int > nat ) > nat > set_int > int ).
thf(func_def_3674,type,
sK1258: ( nat > nat ) > nat > set_nat > nat ).
thf(func_def_3675,type,
sK1259: ( nat > rat ) > rat > set_nat > nat ).
thf(func_def_3676,type,
sK1260: set_int > ( int > int ) > set_int > int ).
thf(func_def_3677,type,
sK1261: set_nat > ( nat > int ) > set_int > nat ).
thf(func_def_3678,type,
sK1262: set_int > ( int > nat ) > set_nat > int ).
thf(func_def_3679,type,
sK1263: set_nat > ( nat > nat ) > set_nat > nat ).
thf(func_def_3680,type,
sK1264: set_nat > ( nat > rat ) > set_rat > nat ).
thf(func_def_3681,type,
sK1265: ( int > int ) > set_int > set_int > set_int ).
thf(func_def_3682,type,
sK1266: ( int > nat ) > set_nat > set_int > set_int ).
thf(func_def_3683,type,
sK1267: ( nat > int ) > set_int > set_nat > set_nat ).
thf(func_def_3684,type,
sK1268: ( nat > nat ) > set_nat > set_nat > set_nat ).
thf(func_def_3685,type,
sK1269: ( nat > rat ) > set_rat > set_nat > set_nat ).
thf(func_def_3686,type,
sK1270: produc7812382424243267045t_unit > ref_a > heap_e7401611519738050253t_unit ).
thf(func_def_3687,type,
sK1271: product_prod_int_int > int > int ).
thf(func_def_3688,type,
sK1272: product_prod_nat_nat > nat > nat ).
thf(func_def_3689,type,
sK1273: product_prod_nat_num > nat > num ).
thf(func_def_3690,type,
sK1274: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3691,type,
sK1275: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3692,type,
sK1276: produc7812382424243267045t_unit > heap_e7401611519738050253t_unit > ref_a ).
thf(func_def_3693,type,
sK1277: product_prod_int_int > int > int ).
thf(func_def_3694,type,
sK1278: product_prod_nat_nat > nat > nat ).
thf(func_def_3695,type,
sK1279: product_prod_nat_num > num > nat ).
thf(func_def_3696,type,
sK1280: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_3697,type,
sK1281: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_3699,type,
sK1283: ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_3700,type,
sK1284: ( nat > nat > nat ) > nat ).
thf(func_def_3701,type,
sK1285: ( nat > nat ) > ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_3702,type,
sK1286: ( product_prod_int_int > $o ) > product_prod_int_int ).
thf(func_def_3703,type,
sK1287: ( int > int ) > ( int > nat ) > ( int > nat ) > int ).
thf(func_def_3704,type,
sK1288: ( int > nat ) > ( nat > num ) > ( int > num ) > int ).
thf(func_def_3705,type,
sK1289: ( product_prod_nat_nat > nat ) > product_prod_nat_nat ).
thf(f1,axiom,
( ( r
= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
=> ( ( h2
= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
=> thesis ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_that) ).
thf(f2,axiom,
heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms) ).
thf(f24,axiom,
( ref_a2
= ( ^ [X0: a] : ( heap_heap_ref_a @ ( alloc_a @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_ref__def) ).
thf(f149,axiom,
! [X0: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: ref_a] :
( ( heap_effect_ref_a @ ( heap_heap_ref_a @ X0 ) @ X1 @ X2 @ X3 )
=> ~ ( ( X2
= ( produc1126150082675451753t_unit @ ( X0 @ X1 ) ) )
=> ( X3
!= ( produc473321116828791851t_unit @ ( X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_effect__heapE) ).
thf(f1357,axiom,
( produc473321116828791851t_unit
= ( produc4846201513286513633_ref_a
@ ^ [X0: ref_a,X1: heap_e7401611519738050253t_unit] : X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1356_fst__def) ).
thf(f1359,axiom,
( produc1126150082675451753t_unit
= ( produc2552614499379209865t_unit
@ ^ [X0: ref_a,X1: heap_e7401611519738050253t_unit] : X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1358_snd__def) ).
thf(f4330,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f4331,negated_conjecture,
~ thesis,
inference(negated_conjecture,[status(cth)],[f4330]) ).
thf(f4332,plain,
( ( r
= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
=> ( ( h2
= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
=> thesis ) ),
inference(rectify,[],[f1]) ).
thf(f4333,plain,
( ( r
= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
=> ( ( h2
= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
=> ( thesis = $true ) ) ),
inference(fool_elimination,[],[f4332]) ).
thf(f4334,plain,
heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ r,
inference(rectify,[],[f2]) ).
thf(f4335,plain,
( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ r )
= $true ),
inference(fool_elimination,[],[f4334]) ).
thf(f4359,plain,
( ref_a2
= ( ^ [Y0: a] : ( heap_heap_ref_a @ ( alloc_a @ Y0 ) ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f4440,plain,
! [X0: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: ref_a] :
( ( heap_effect_ref_a @ ( heap_heap_ref_a @ X0 ) @ X1 @ X2 @ X3 )
=> ~ ( ( X2
= ( produc1126150082675451753t_unit @ ( X0 @ X1 ) ) )
=> ( X3
!= ( produc473321116828791851t_unit @ ( X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f149]) ).
thf(f4441,plain,
! [X0: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: ref_a] :
( ( ( heap_effect_ref_a @ ( heap_heap_ref_a @ X0 ) @ X1 @ X2 @ X3 )
= $true )
=> ~ ( ( ( produc1126150082675451753t_unit @ ( X0 @ X1 ) )
= X2 )
=> ( ( produc473321116828791851t_unit @ ( X0 @ X1 ) )
!= X3 ) ) ),
inference(fool_elimination,[],[f4440]) ).
thf(f5904,plain,
( produc473321116828791851t_unit
= ( produc4846201513286513633_ref_a
@ ^ [X0: ref_a,X1: heap_e7401611519738050253t_unit] : X0 ) ),
inference(rectify,[],[f1357]) ).
thf(f5905,plain,
( produc473321116828791851t_unit
= ( produc4846201513286513633_ref_a
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y0 ) ),
inference(fool_elimination,[],[f5904]) ).
thf(f5908,plain,
( produc1126150082675451753t_unit
= ( produc2552614499379209865t_unit
@ ^ [X0: ref_a,X1: heap_e7401611519738050253t_unit] : X1 ) ),
inference(rectify,[],[f1359]) ).
thf(f5909,plain,
( produc1126150082675451753t_unit
= ( produc2552614499379209865t_unit
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y1 ) ),
inference(fool_elimination,[],[f5908]) ).
thf(f10964,plain,
~ thesis,
inference(rectify,[],[f4331]) ).
thf(f10965,plain,
thesis != $true,
inference(fool_elimination,[],[f10964]) ).
thf(f11167,plain,
thesis != $true,
inference(flattening,[],[f10965]) ).
thf(f11168,plain,
( ( thesis = $true )
| ( h2
!= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
| ( r
!= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) ) ),
inference(ennf_transformation,[],[f4333]) ).
thf(f11169,plain,
( ( thesis = $true )
| ( h2
!= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
| ( r
!= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) ) ),
inference(flattening,[],[f11168]) ).
thf(f11247,plain,
! [X0: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: ref_a] :
( ( ( ( produc473321116828791851t_unit @ ( X0 @ X1 ) )
= X3 )
& ( ( produc1126150082675451753t_unit @ ( X0 @ X1 ) )
= X2 ) )
| ( ( heap_effect_ref_a @ ( heap_heap_ref_a @ X0 ) @ X1 @ X2 @ X3 )
!= $true ) ),
inference(ennf_transformation,[],[f4441]) ).
thf(f15732,plain,
( ( thesis = $true )
| ( h2
!= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
| ( r
!= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) ) ),
inference(cnf_transformation,[],[f11169]) ).
thf(f15733,plain,
( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ r )
= $true ),
inference(cnf_transformation,[],[f4335]) ).
thf(f15759,plain,
( ref_a2
= ( ^ [Y0: a] : ( heap_heap_ref_a @ ( alloc_a @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f4359]) ).
thf(f15897,plain,
! [X2: heap_e7401611519738050253t_unit,X3: ref_a,X0: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X1: heap_e7401611519738050253t_unit] :
( ( ( produc1126150082675451753t_unit @ ( X0 @ X1 ) )
= X2 )
| ( ( heap_effect_ref_a @ ( heap_heap_ref_a @ X0 ) @ X1 @ X2 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f11247]) ).
thf(f15898,plain,
! [X2: heap_e7401611519738050253t_unit,X3: ref_a,X0: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X1: heap_e7401611519738050253t_unit] :
( ( ( produc473321116828791851t_unit @ ( X0 @ X1 ) )
= X3 )
| ( ( heap_effect_ref_a @ ( heap_heap_ref_a @ X0 ) @ X1 @ X2 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f11247]) ).
thf(f17391,plain,
( produc473321116828791851t_unit
= ( produc4846201513286513633_ref_a
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y0 ) ),
inference(cnf_transformation,[],[f5905]) ).
thf(f17393,plain,
( produc1126150082675451753t_unit
= ( produc2552614499379209865t_unit
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y1 ) ),
inference(cnf_transformation,[],[f5909]) ).
thf(f21230,plain,
thesis != $true,
inference(cnf_transformation,[],[f11167]) ).
thf(f21347,plain,
( ( thesis = $true )
| ( h2
!= ( produc2552614499379209865t_unit
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y1
@ ( alloc_a @ x @ h ) ) )
| ( r
!= ( produc4846201513286513633_ref_a
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y0
@ ( alloc_a @ x @ h ) ) ) ),
inference(definition_unfolding,[],[f15732,f17393,f17391]) ).
thf(f21348,plain,
( $true
= ( heap_effect_ref_a
@ ( ^ [Y0: a] : ( heap_heap_ref_a @ ( alloc_a @ Y0 ) )
@ x )
@ h
@ h2
@ r ) ),
inference(definition_unfolding,[],[f15733,f15759]) ).
thf(f21407,plain,
! [X2: heap_e7401611519738050253t_unit,X3: ref_a,X0: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X1: heap_e7401611519738050253t_unit] :
( ( ( heap_effect_ref_a @ ( heap_heap_ref_a @ X0 ) @ X1 @ X2 @ X3 )
!= $true )
| ( ( produc4846201513286513633_ref_a
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y0
@ ( X0 @ X1 ) )
= X3 ) ),
inference(definition_unfolding,[],[f15898,f17391]) ).
thf(f21408,plain,
! [X2: heap_e7401611519738050253t_unit,X3: ref_a,X0: heap_e7401611519738050253t_unit > produc7812382424243267045t_unit,X1: heap_e7401611519738050253t_unit] :
( ( ( heap_effect_ref_a @ ( heap_heap_ref_a @ X0 ) @ X1 @ X2 @ X3 )
!= $true )
| ( ( produc2552614499379209865t_unit
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y1
@ ( X0 @ X1 ) )
= X2 ) ),
inference(definition_unfolding,[],[f15897,f17393]) ).
thf(f33188,plain,
( $true
= ( heap_effect_ref_a @ ( heap_heap_ref_a @ ( alloc_a @ x ) ) @ h @ h2 @ r ) ),
inference(beta-eta_normalization,[],[f21348]) ).
thf(f33446,definition,
( spl1282_59
<=> ( r
= ( produc4846201513286513633_ref_a
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y0
@ ( alloc_a @ x @ h ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1282_59])],[avatar_definition]) ).
thf(f33450,definition,
( spl1282_60
<=> ( h2
= ( produc2552614499379209865t_unit
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y1
@ ( alloc_a @ x @ h ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1282_60])],[avatar_definition]) ).
thf(f33452,plain,
( ( h2
!= ( produc2552614499379209865t_unit
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y1
@ ( alloc_a @ x @ h ) ) )
| spl1282_60 ),
inference(avatar_component_clause,[],[f33450]) ).
thf(f33454,definition,
( spl1282_61
<=> ( thesis = $true ) ),
introduced(definition,[new_symbols(definition,[spl1282_61])],[avatar_definition]) ).
thf(f33457,plain,
( ~ spl1282_59
| ~ spl1282_60
| spl1282_61 ),
inference(avatar_split_clause,[],[f21347,f33454,f33450,f33446]) ).
thf(f33458,plain,
~ spl1282_61,
inference(avatar_split_clause,[],[f21230,f33454]) ).
thf(f224470,plain,
( ( $true != $true )
| ( r
= ( produc4846201513286513633_ref_a
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y0
@ ( alloc_a @ x @ h ) ) ) ),
inference(constrained_superposition,[],[f21407,f33188]) ).
thf(f224495,plain,
( r
= ( produc4846201513286513633_ref_a
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y0
@ ( alloc_a @ x @ h ) ) ),
inference(trivial_inequality_removal,[],[f224470]) ).
thf(f224518,plain,
spl1282_59,
inference(avatar_split_clause,[],[f224495,f33446]) ).
thf(f224786,plain,
( ( $true != $true )
| ( h2
= ( produc2552614499379209865t_unit
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y1
@ ( alloc_a @ x @ h ) ) ) ),
inference(constrained_superposition,[],[f21408,f33188]) ).
thf(f224811,plain,
( h2
= ( produc2552614499379209865t_unit
@ ^ [Y0: ref_a,Y1: heap_e7401611519738050253t_unit] : Y1
@ ( alloc_a @ x @ h ) ) ),
inference(trivial_inequality_removal,[],[f224786]) ).
thf(f224834,plain,
( $false
| spl1282_60 ),
inference(forward_subsumption_resolution,[],[f224811,f33452]) ).
thf(f224835,plain,
spl1282_60,
inference(avatar_contradiction_clause,[],[f224834]) ).
cnf(s73,plain,
( ~ spl1282_59
| ~ spl1282_60
| spl1282_61 ),
inference(sat_conversion,[],[f33457]) ).
cnf(s74,plain,
~ spl1282_61,
inference(sat_conversion,[],[f33458]) ).
cnf(s16513,plain,
spl1282_59,
inference(sat_conversion,[],[f224518]) ).
cnf(s16518,plain,
spl1282_60,
inference(sat_conversion,[],[f224835]) ).
cnf(s17195,plain,
$false,
inference(rat,[],[s73,s74,s16518,s16513]) ).
thf(f224837,plain,
$false,
inference(avatar_sat_refutation,[],[s17195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP206^1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:11:37 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.28/1.74 % (1784424)Will run a generic schedule for satisfiability detection.
% 7.28/1.74 % (1784429)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2314637939_2996 on theBenchmark for (2996ds/0Mi)
% 7.28/1.74 % (1784430)% WARNING: option uhcvi not known.
% 7.28/1.74 % (1784430)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2971557047:i=135531:add=off:rawr=on_2996 on theBenchmark for (2996ds/135531Mi)
% 7.28/1.74 % (1784431)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2738148074:i=88024:add=on:rawr=on_2996 on theBenchmark for (2996ds/88024Mi)
% 7.28/1.74 % (1784432)dis+10_1_sil=32000:sp=arity:random_seed=3801053740:i=103:fgj=on_2996 on theBenchmark for (2996ds/103Mi)
% 7.28/1.74 % (1784433)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1438588565:i=116_2996 on theBenchmark for (2996ds/116Mi)
% 7.28/1.74 % (1784434)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=718764663:i=131_2996 on theBenchmark for (2996ds/131Mi)
% 7.28/1.74 % (1784435)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4112745598:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2996 on theBenchmark for (2996ds/159Mi)
% 7.28/1.74 % (1784432)Instruction limit reached!
% 7.28/1.74 % (1784432)------------------------------
% 7.28/1.74 % (1784432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.74 % (1784432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.74 % (1784432)CaDiCaL version: 2.1.3
% 7.28/1.74 % (1784432)Termination reason: Instruction limit
% 7.28/1.74 % (1784432)Termination phase: Initialization
% 7.28/1.74 % (1784432)Time elapsed: 0.043 s
% 7.28/1.74 % (1784432)Peak memory usage: 19 MB
% 7.28/1.74 % (1784432)Instructions burned: 104 (million)
% 7.28/1.74 % (1784433)Instruction limit reached!
% 7.28/1.74 % (1784433)------------------------------
% 7.28/1.74 % (1784433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.74 % (1784433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.74 % (1784433)CaDiCaL version: 2.1.3
% 7.28/1.74 % (1784433)Termination reason: Instruction limit
% 7.28/1.74 % (1784433)Termination phase: Initialization
% 7.28/1.74 % (1784433)Time elapsed: 0.048 s
% 7.28/1.74 % (1784433)Peak memory usage: 20 MB
% 7.28/1.74 % (1784433)Instructions burned: 117 (million)
% 7.28/1.74 % (1784434)Instruction limit reached!
% 7.28/1.74 % (1784434)------------------------------
% 7.28/1.74 % (1784434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.74 % (1784434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.74 % (1784434)CaDiCaL version: 2.1.3
% 7.28/1.74 % (1784434)Termination reason: Instruction limit
% 7.28/1.74 % (1784434)Termination phase: Initialization
% 7.28/1.74 % (1784434)Time elapsed: 0.056 s
% 7.28/1.74 % (1784434)Peak memory usage: 20 MB
% 7.28/1.74 % (1784434)Instructions burned: 133 (million)
% 7.28/1.74 % (1784435)Instruction limit reached!
% 7.28/1.74 % (1784435)------------------------------
% 7.28/1.74 % (1784435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.74 % (1784435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.74 % (1784435)CaDiCaL version: 2.1.3
% 7.28/1.74 % (1784435)Termination reason: Instruction limit
% 7.28/1.74 % (1784435)Termination phase: Initialization
% 7.28/1.74 % (1784435)Time elapsed: 0.065 s
% 7.28/1.74 % (1784435)Peak memory usage: 20 MB
% 7.28/1.74 % (1784435)Instructions burned: 160 (million)
% 7.28/1.74 % (1784443)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2913463520:i=714:nm=2_2995 on theBenchmark for (2995ds/714Mi)
% 7.28/1.74 % (1784444)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4159950971:i=131:bd=preordered:fsd=on_2995 on theBenchmark for (2995ds/131Mi)
% 7.28/1.74 % (1784445)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1755664755:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2995 on theBenchmark for (2995ds/684Mi)
% 7.28/1.74 % (1784447)ott-21_1_sil=16000:fs=off:random_seed=358395348:i=180:av=off:fsr=off_2995 on theBenchmark for (2995ds/180Mi)
% 7.28/1.74 % (1784444)Instruction limit reached!
% 7.28/1.74 % (1784444)------------------------------
% 7.28/1.74 % (1784444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.74 % (1784444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/3.73 % (1784444)CaDiCaL version: 2.1.3
% 22.29/3.73 % (1784444)Termination reason: Instruction limit
% 22.29/3.73 % (1784444)Termination phase: Initialization
% 22.29/3.73 % (1784444)Time elapsed: 0.054 s
% 22.29/3.73 % (1784444)Peak memory usage: 20 MB
% 22.29/3.73 % (1784444)Instructions burned: 133 (million)
% 22.29/3.73 % (1784451)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1413713335:i=477:bd=all_2995 on theBenchmark for (2995ds/477Mi)
% 22.29/3.73 % (1784447)Instruction limit reached!
% 22.29/3.73 % (1784447)------------------------------
% 22.29/3.73 % (1784447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.29/3.73 % (1784447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/3.73 % (1784447)CaDiCaL version: 2.1.3
% 22.29/3.73 % (1784447)Termination reason: Instruction limit
% 22.29/3.73 % (1784447)Termination phase: Initialization
% 22.29/3.73 % (1784447)Time elapsed: 0.072 s
% 22.29/3.73 % (1784447)Peak memory usage: 20 MB
% 22.29/3.73 % (1784447)Instructions burned: 180 (million)
% 22.29/3.73 % (1784453)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1148509964:fmbsr=1.3:i=865:ins=25_2994 on theBenchmark for (2994ds/865Mi)
% 22.29/3.73 % (1784430)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 22.29/3.73 % (1784451)Instruction limit reached!
% 22.29/3.73 % (1784451)------------------------------
% 22.29/3.73 % (1784451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.29/3.73 % (1784451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/3.73 % (1784451)CaDiCaL version: 2.1.3
% 22.29/3.73 % (1784451)Termination reason: Instruction limit
% 22.29/3.73 % (1784451)Termination phase: Property scanning
% 22.29/3.73 % (1784451)Time elapsed: 0.198 s
% 22.29/3.73 % (1784451)Peak memory usage: 24 MB
% 22.29/3.73 % (1784451)Instructions burned: 479 (million)
% 22.29/3.73 % (1784445)Instruction limit reached!
% 22.29/3.73 % (1784445)------------------------------
% 22.29/3.73 % (1784445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.29/3.73 % (1784445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/3.73 % (1784445)CaDiCaL version: 2.1.3
% 22.29/3.73 % (1784445)Termination reason: Instruction limit
% 22.29/3.73 % (1784445)Termination phase: Property scanning
% 22.29/3.73 % (1784445)Time elapsed: 0.280 s
% 22.29/3.73 % (1784445)Peak memory usage: 24 MB
% 22.29/3.73 % (1784445)Instructions burned: 684 (million)
% 22.29/3.73 % (1784443)Instruction limit reached!
% 22.29/3.73 % (1784443)------------------------------
% 22.29/3.73 % (1784443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.29/3.73 % (1784443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/3.73 % (1784443)CaDiCaL version: 2.1.3
% 22.29/3.73 % (1784443)Termination reason: Instruction limit
% 22.29/3.73 % (1784443)Termination phase: Preprocessing 1
% 22.29/3.73 % (1784443)Time elapsed: 0.296 s
% 22.29/3.73 % (1784443)Peak memory usage: 25 MB
% 22.29/3.73 % (1784443)Instructions burned: 715 (million)
% 22.29/3.73 % (1784455)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2425224735:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 22.29/3.73 % (1784456)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2543725261:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 22.29/3.73 % (1784457)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4028375472:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 22.29/3.73 % Exception at run slice level
% 22.29/3.73 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 22.29/3.73 % (1784461)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1416026868:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 22.29/3.73 % (1784453)Instruction limit reached!
% 22.29/3.73 % (1784453)------------------------------
% 22.29/3.73 % (1784453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.29/3.73 % (1784453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.29/3.73 % (1784453)CaDiCaL version: 2.1.3
% 22.29/3.73 % (1784453)Termination reason: Instruction limit
% 22.29/3.73 % (1784453)Termination phase: Preprocessing 3
% 22.29/3.73 % (1784453)Time elapsed: 0.364 s
% 22.29/3.73 % (1784453)Peak memory usage: 28 MB
% 22.29/3.73 % (1784453)Instructions burned: 867 (million)
% 22.29/3.73 % (1784463)fmb+10_1_sil=64000:random_seed=1880923942:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 39.87/6.14 % (1784461)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 39.87/6.14 % (1784461)Instruction limit reached!
% 39.87/6.14 % (1784461)------------------------------
% 39.87/6.14 % (1784461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.87/6.14 % (1784461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.87/6.14 % (1784461)CaDiCaL version: 2.1.3
% 39.87/6.14 % (1784461)Termination reason: Instruction limit
% 39.87/6.14 % (1784461)Termination phase: Preprocessing 3
% 39.87/6.14 % (1784461)Time elapsed: 0.198 s
% 39.87/6.14 % (1784461)Peak memory usage: 29 MB
% 39.87/6.14 % (1784461)Instructions burned: 880 (million)
% 39.87/6.14 % (1784465)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1780492779:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 39.87/6.14 % (1784457)Instruction limit reached!
% 39.87/6.14 % (1784457)------------------------------
% 39.87/6.14 % (1784457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.87/6.14 % (1784457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.87/6.14 % (1784457)CaDiCaL version: 2.1.3
% 39.87/6.14 % (1784457)Termination reason: Instruction limit
% 39.87/6.14 % (1784457)Termination phase: Property scanning
% 39.87/6.14 % (1784457)Time elapsed: 0.284 s
% 39.87/6.14 % (1784457)Peak memory usage: 24 MB
% 39.87/6.14 % (1784457)Instructions burned: 693 (million)
% 39.87/6.14 % (1784467)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=297745028:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 39.87/6.14 % (1784456)Instruction limit reached!
% 39.87/6.14 % (1784456)------------------------------
% 39.87/6.14 % (1784456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.87/6.14 % (1784456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.87/6.14 % (1784456)CaDiCaL version: 2.1.3
% 39.87/6.14 % (1784456)Termination reason: Instruction limit
% 39.87/6.14 % (1784456)Termination phase: Preprocessing 3
% 39.87/6.14 % (1784456)Time elapsed: 0.375 s
% 39.87/6.14 % (1784456)Peak memory usage: 28 MB
% 39.87/6.14 % (1784456)Instructions burned: 889 (million)
% 39.87/6.14 % (1784469)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3259858624:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 39.87/6.14 % (1784430)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 39.87/6.14 % (1784455)Instruction limit reached!
% 39.87/6.14 % (1784455)------------------------------
% 39.87/6.14 % (1784455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.87/6.14 % (1784455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.87/6.14 % (1784455)CaDiCaL version: 2.1.3
% 39.87/6.14 % (1784455)Termination reason: Instruction limit
% 39.87/6.14 % (1784455)Termination phase: Property scanning
% 39.87/6.14 % (1784455)Time elapsed: 0.495 s
% 39.87/6.14 % (1784455)Peak memory usage: 29 MB
% 39.87/6.14 % (1784455)Instructions burned: 1181 (million)
% 39.87/6.14 % (1784471)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1581200202:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 39.87/6.14 % Exception at run slice level
% 39.87/6.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 39.87/6.14 % (1784467)Instruction limit reached!
% 39.87/6.14 % (1784467)------------------------------
% 39.87/6.14 % (1784467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.87/6.14 % (1784467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.87/6.14 % (1784467)CaDiCaL version: 2.1.3
% 39.87/6.14 % (1784467)Termination reason: Instruction limit
% 39.87/6.14 % (1784467)Termination phase: Property scanning
% 39.87/6.14 % (1784467)Time elapsed: 0.388 s
% 39.87/6.14 % (1784467)Peak memory usage: 29 MB
% 39.87/6.14 % (1784467)Instructions burned: 921 (million)
% 39.87/6.14 % (1784473)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2368998056:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 39.87/6.14 % (1784469)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 39.87/6.14 % (1784475)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1778132242:fmbsr=2.30978:i=2174_2985 on theBenchmark for (2985ds/2174Mi)
% 39.87/6.14 % (1784463)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 106.36/15.53 % Exception at run slice level
% 106.36/15.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 106.36/15.53 % (1784477)ott-2_1_sil=16000:newcnf=on:random_seed=2571849487:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2982 on theBenchmark for (2982ds/869Mi)
% 106.36/15.53 % (1784471)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 106.36/15.53 % Exception at run slice level
% 106.36/15.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 106.36/15.53 % (1784471)Instruction limit reached!
% 106.36/15.53 % (1784471)------------------------------
% 106.36/15.53 % (1784471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.36/15.53 % (1784471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.36/15.53 % (1784471)CaDiCaL version: 2.1.3
% 106.36/15.53 % (1784471)Termination reason: Instruction limit
% 106.36/15.53 % (1784471)Termination phase: Property scanning
% 106.36/15.53 % (1784471)Time elapsed: 0.620 s
% 106.36/15.53 % (1784471)Peak memory usage: 30 MB
% 106.36/15.53 % (1784471)Instructions burned: 1472 (million)
% 106.36/15.53 % (1784479)ott+10_1_sil=32000:tgt=ground:random_seed=2420246316:i=5114:av=off_2981 on theBenchmark for (2981ds/5114Mi)
% 106.36/15.53 % (1784480)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4242117188:i=54282_2981 on theBenchmark for (2981ds/54282Mi)
% 106.36/15.53 % (1784477)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 106.36/15.53 % (1784477)Instruction limit reached!
% 106.36/15.53 % (1784477)------------------------------
% 106.36/15.53 % (1784477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.36/15.53 % (1784477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.36/15.53 % (1784477)CaDiCaL version: 2.1.3
% 106.36/15.53 % (1784477)Termination reason: Instruction limit
% 106.36/15.53 % (1784477)Termination phase: Preprocessing 3
% 106.36/15.53 % (1784477)Time elapsed: 0.367 s
% 106.36/15.53 % (1784477)Peak memory usage: 28 MB
% 106.36/15.53 % (1784477)Instructions burned: 870 (million)
% 106.36/15.53 % (1784483)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1540515612:i=3512:aac=none_2978 on theBenchmark for (2978ds/3512Mi)
% 106.36/15.53 % Exception at run slice level
% 106.36/15.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 106.36/15.53 % (1784485)dis+21_1_sil=32000:sas=cadical:random_seed=3764540831:i=3773:amm=off_2977 on theBenchmark for (2977ds/3773Mi)
% 106.36/15.53 % Exception at run slice level
% 106.36/15.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 106.36/15.53 % (1784487)ott+11_1_sil=16000:gs=on:random_seed=1779907687:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2973 on theBenchmark for (2973ds/2251Mi)
% 106.36/15.53 % (1784483)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 106.36/15.53 % (1784479)Instruction limit reached!
% 106.36/15.53 % (1784479)------------------------------
% 106.36/15.53 % (1784479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.36/15.53 % (1784479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.36/15.53 % (1784479)CaDiCaL version: 2.1.3
% 106.36/15.53 % (1784479)Termination reason: Instruction limit
% 106.36/15.53 % (1784479)Termination phase: Saturation
% 106.36/15.53 % (1784479)Time elapsed: 1.244 s
% 106.36/15.53 % (1784479)Peak memory usage: 55 MB
% 106.36/15.53 % (1784479)Instructions burned: 5116 (million)
% 106.36/15.53 % (1784489)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4119982064:fmbsr=1.6:i=67534_2968 on theBenchmark for (2968ds/67534Mi)
% 106.36/15.53 % (1784469)Instruction limit reached!
% 106.36/15.53 % (1784469)------------------------------
% 106.36/15.53 % (1784469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.36/15.53 % (1784469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.36/15.53 % (1784469)CaDiCaL version: 2.1.3
% 106.36/15.53 % (1784469)Termination reason: Instruction limit
% 106.36/15.53 % (1784469)Termination phase: Saturation
% 106.36/15.53 % (1784469)Time elapsed: 2.327 s
% 106.36/15.53 % (1784469)Peak memory usage: 47 MB
% 106.36/15.53 % (1784469)Instructions burned: 5132 (million)
% 106.36/15.53 % (1784491)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2308566308:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2965 on theBenchmark for (2965ds/4591Mi)
% 96.82/16.80 % Exception at run slice level
% 96.82/16.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 96.82/16.80 % (1784493)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3358505181:i=29340_2964 on theBenchmark for (2964ds/29340Mi)
% 96.82/16.80 % (1784487)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 96.82/16.80 % (1784487)Instruction limit reached!
% 96.82/16.80 % (1784487)------------------------------
% 96.82/16.80 % (1784487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784487)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784487)Termination reason: Instruction limit
% 96.82/16.80 % (1784487)Termination phase: Saturation
% 96.82/16.80 % (1784487)Time elapsed: 0.973 s
% 96.82/16.80 % (1784487)Peak memory usage: 35 MB
% 96.82/16.80 % (1784487)Instructions burned: 2252 (million)
% 96.82/16.80 % (1784483)Instruction limit reached!
% 96.82/16.80 % (1784483)------------------------------
% 96.82/16.80 % (1784483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784483)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784483)Termination reason: Instruction limit
% 96.82/16.80 % (1784483)Termination phase: Saturation
% 96.82/16.80 % (1784483)Time elapsed: 1.555 s
% 96.82/16.80 % (1784483)Peak memory usage: 42 MB
% 96.82/16.80 % (1784483)Instructions burned: 3512 (million)
% 96.82/16.80 % (1784495)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3479193678:i=5211_2963 on theBenchmark for (2963ds/5211Mi)
% 96.82/16.80 % (1784496)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3588516740:i=5497:nm=2_2963 on theBenchmark for (2963ds/5497Mi)
% 96.82/16.80 % (1784485)Instruction limit reached!
% 96.82/16.80 % (1784485)------------------------------
% 96.82/16.80 % (1784485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784485)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784485)Termination reason: Instruction limit
% 96.82/16.80 % (1784485)Termination phase: Saturation
% 96.82/16.80 % (1784485)Time elapsed: 1.690 s
% 96.82/16.80 % (1784485)Peak memory usage: 44 MB
% 96.82/16.80 % (1784485)Instructions burned: 3774 (million)
% 96.82/16.80 % (1784499)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=4291443037:fmbsr=2:i=46332_2960 on theBenchmark for (2960ds/46332Mi)
% 96.82/16.80 % Exception at run slice level
% 96.82/16.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 96.82/16.80 % (1784501)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2167065536:i=14071_2954 on theBenchmark for (2954ds/14071Mi)
% 96.82/16.80 % Exception at run slice level
% 96.82/16.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 96.82/16.80 % (1784503)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3386408455:i=22565:add=on:rawr=on_2952 on theBenchmark for (2952ds/22565Mi)
% 96.82/16.80 % Exception at run slice level
% 96.82/16.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 96.82/16.80 % (1784505)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2469820787:i=8173:av=off_2946 on theBenchmark for (2946ds/8173Mi)
% 96.82/16.80 % (1784491)Instruction limit reached!
% 96.82/16.80 % (1784491)------------------------------
% 96.82/16.80 % (1784491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784491)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784491)Termination reason: Instruction limit
% 96.82/16.80 % (1784491)Termination phase: Saturation
% 96.82/16.80 % (1784491)Time elapsed: 2.251 s
% 96.82/16.80 % (1784491)Peak memory usage: 70 MB
% 96.82/16.80 % (1784491)Instructions burned: 4592 (million)
% 96.82/16.80 % (1784507)dis+10_16:1_sil=16000:random_seed=231022841:i=9155:fsr=off_2942 on theBenchmark for (2942ds/9155Mi)
% 96.82/16.80 % (1784495)Instruction limit reached!
% 96.82/16.80 % (1784495)------------------------------
% 96.82/16.80 % (1784495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784495)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784495)Termination reason: Instruction limit
% 96.82/16.80 % (1784495)Termination phase: Saturation
% 96.82/16.80 % (1784495)Time elapsed: 2.198 s
% 96.82/16.80 % (1784495)Peak memory usage: 61 MB
% 96.82/16.80 % (1784495)Instructions burned: 5214 (million)
% 96.82/16.80 % (1784509)ott-3_8_sil=64000:random_seed=188269311:i=20139:bs=on_2940 on theBenchmark for (2940ds/20139Mi)
% 96.82/16.80 % (1784505)Instruction limit reached!
% 96.82/16.80 % (1784505)------------------------------
% 96.82/16.80 % (1784505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784505)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784505)Termination reason: Instruction limit
% 96.82/16.80 % (1784505)Termination phase: Saturation
% 96.82/16.80 % (1784505)Time elapsed: 3.704 s
% 96.82/16.80 % (1784505)Peak memory usage: 61 MB
% 96.82/16.80 % (1784505)Instructions burned: 8175 (million)
% 96.82/16.80 % (1784511)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1881491311:fmbsr=2:i=32576_2909 on theBenchmark for (2909ds/32576Mi)
% 96.82/16.80 % Exception at run slice level
% 96.82/16.80 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 96.82/16.80 % (1784513)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2577299104:i=11404_2901 on theBenchmark for (2901ds/11404Mi)
% 96.82/16.80 % (1784493)Instruction limit reached!
% 96.82/16.80 % (1784493)------------------------------
% 96.82/16.80 % (1784493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784493)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784493)Termination reason: Instruction limit
% 96.82/16.80 % (1784493)Termination phase: Saturation
% 96.82/16.80 % (1784493)Time elapsed: 6.545 s
% 96.82/16.80 % (1784493)Peak memory usage: 102 MB
% 96.82/16.80 % (1784493)Instructions burned: 29345 (million)
% 96.82/16.80 % (1784515)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1718241746:i=14134_2898 on theBenchmark for (2898ds/14134Mi)
% 96.82/16.80 % (1784507)Instruction limit reached!
% 96.82/16.80 % (1784507)------------------------------
% 96.82/16.80 % (1784507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784507)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784507)Termination reason: Instruction limit
% 96.82/16.80 % (1784507)Termination phase: Saturation
% 96.82/16.80 % (1784507)Time elapsed: 4.434 s
% 96.82/16.80 % (1784507)Peak memory usage: 77 MB
% 96.82/16.80 % (1784507)Instructions burned: 9157 (million)
% 96.82/16.80 % (1784517)dis+33_16_sil=32000:sac=on:random_seed=4143895754:i=15851:nm=0_2897 on theBenchmark for (2897ds/15851Mi)
% 96.82/16.80 % (1784515)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 96.82/16.80 % (1784515)Instruction limit reached!
% 96.82/16.80 % (1784515)------------------------------
% 96.82/16.80 % (1784515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784515)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784515)Termination reason: Instruction limit
% 96.82/16.80 % (1784515)Termination phase: Saturation
% 96.82/16.80 % (1784515)Time elapsed: 3.204 s
% 96.82/16.80 % (1784515)Peak memory usage: 59 MB
% 96.82/16.80 % (1784515)Instructions burned: 14138 (million)
% 96.82/16.80 % (1784519)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=189242103:avsq=on:i=17627:add=on:amm=off_2866 on theBenchmark for (2866ds/17627Mi)
% 96.82/16.80 % (1784509)Instruction limit reached!
% 96.82/16.80 % (1784509)------------------------------
% 96.82/16.80 % (1784509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784509)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784509)Termination reason: Instruction limit
% 96.82/16.80 % (1784509)Termination phase: Saturation
% 96.82/16.80 % (1784509)Time elapsed: 9.335 s
% 96.82/16.80 % (1784509)Peak memory usage: 71 MB
% 96.82/16.80 % (1784509)Instructions burned: 20139 (million)
% 96.82/16.80 % (1784583)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=2512108447:s2a=on:i=53295_2847 on theBenchmark for (2847ds/53295Mi)
% 96.82/16.80 % (1784513)Instruction limit reached!
% 96.82/16.80 % (1784513)------------------------------
% 96.82/16.80 % (1784513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784513)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784513)Termination reason: Instruction limit
% 96.82/16.80 % (1784513)Termination phase: Saturation
% 96.82/16.80 % (1784513)Time elapsed: 5.782 s
% 96.82/16.80 % (1784513)Peak memory usage: 117 MB
% 96.82/16.80 % (1784513)Instructions burned: 11406 (million)
% 96.82/16.80 % (1784712)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=2673004500:i=26857:ins=20_2843 on theBenchmark for (2843ds/26857Mi)
% 96.82/16.80 % (1784430) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1784424-1784430"...
% 96.82/16.80 % (1784503)Instruction limit reached!
% 96.82/16.80 % (1784503)------------------------------
% 96.82/16.80 % (1784503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.80 % (1784503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.80 % (1784503)CaDiCaL version: 2.1.3
% 96.82/16.80 % (1784503)Termination reason: Instruction limit
% 96.82/16.80 % (1784503)Termination phase: Saturation
% 96.82/16.80 % (1784503)Time elapsed: 11.669 s
% 96.82/16.80 % (1784503)Peak memory usage: 250 MB
% 96.82/16.80 % (1784503)Instructions burned: 22565 (million)
% 96.82/16.80 % (1784430)...printing done.
% 96.82/16.80 % (1784430)Refutation found. Thanks to Tanya!
% 96.82/16.80 % SZS status Theorem for theBenchmark
% 96.82/16.80 % SZS output start Proof for theBenchmark
% See solution above
% 96.82/16.83 % (1784430)------------------------------
% 96.82/16.83 % (1784430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 96.82/16.83 % (1784430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/16.83 % (1784430)CaDiCaL version: 2.1.3
% 96.82/16.83 % (1784430)Termination reason: Refutation
% 96.82/16.83 % (1784430)Time elapsed: 16.107 s
% 96.82/16.83 % (1784430)Peak memory usage: 177 MB
% 96.82/16.83 % (1784430)Instructions burned: 33269 (million)
% 96.82/16.83 % (1784424)Success in time 16.583 s
% 96.82/16.83 % Vampire exiting
%------------------------------------------------------------------------------