Vampire-SAT---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP210^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n010.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 08:11:09 AM UTC 2026

% Result   : Theorem 169.53s 37.75s
% Output   : Refutation 169.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   46 (   9 unt;   0 typ;   2 def)
%            Number of atoms       :  338 ( 139 equ;   0 cnn)
%            Maximal formula atoms :    4 (   7 avg)
%            Number of connectives :  537 (  53   ~;  48   |;  89   &; 345   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :  124 ( 123 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 5274 (5271 usr; 177 con; 0-11 aty)
%            Number of variables   :   69 (   0 sgn   0   !;   0   ?;  69   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Pr8536935166611901872et_nat: $tType ).

thf(type_def_6,type,
    produc4193628355235574503at_nat: $tType ).

thf(type_def_7,type,
    produc2732055786443039994et_nat: $tType ).

thf(type_def_8,type,
    set_Pr4759807026041935047at_nat: $tType ).

thf(type_def_9,type,
    produc1319942482725812455at_nat: $tType ).

thf(type_def_10,type,
    set_Pr5564308138774400199at_nat: $tType ).

thf(type_def_11,type,
    set_Pr1281608226676607948nteger: $tType ).

thf(type_def_12,type,
    produc989692990947075319atural: $tType ).

thf(type_def_13,type,
    produc1908205239877642774nteger: $tType ).

thf(type_def_14,type,
    set_Pr9222295170931077689nt_int: $tType ).

thf(type_def_15,type,
    set_Pr2161125870931222855_nat_o: $tType ).

thf(type_def_16,type,
    produc2285326912895808259nt_int: $tType ).

thf(type_def_17,type,
    set_Pr3286484037609594932et_nat: $tType ).

thf(type_def_18,type,
    produc4928098042776334183_nat_o: $tType ).

thf(type_def_19,type,
    produc3925858234332021118et_nat: $tType ).

thf(type_def_20,type,
    produc8731074985263844745atural: $tType ).

thf(type_def_21,type,
    produc8763457246119570046nteger: $tType ).

thf(type_def_22,type,
    produc6576344331059438605e_term: $tType ).

thf(type_def_23,type,
    set_Pr1872883991513573699nt_int: $tType ).

thf(type_def_24,type,
    produc7773217078559923341nt_int: $tType ).

thf(type_def_25,type,
    set_Pr8551490117392284871at_nat: $tType ).

thf(type_def_26,type,
    produc6756470014200349799atural: $tType ).

thf(type_def_27,type,
    produc4166570645942440679at_nat: $tType ).

thf(type_def_28,type,
    set_Pr4329608150637261639at_nat: $tType ).

thf(type_def_29,type,
    set_Pr8057934254988874055nt_int: $tType ).

thf(type_def_30,type,
    produc4471711990508489141at_nat: $tType ).

thf(type_def_31,type,
    produc3843707927480180839at_nat: $tType ).

thf(type_def_32,type,
    produc412284730452459111nt_int: $tType ).

thf(type_def_33,type,
    set_Pr457366540195662369at_nat: $tType ).

thf(type_def_34,type,
    produc4675096598859438275atural: $tType ).

thf(type_def_35,type,
    set_Pr8693737435421807431at_nat: $tType ).

thf(type_def_36,type,
    produc732395585841259969at_nat: $tType ).

thf(type_def_37,type,
    set_Pr1932065953672099015od_o_o: $tType ).

thf(type_def_38,type,
    produc5835291356934675326atural: $tType ).

thf(type_def_39,type,
    set_Pr4532377907799695533_nat_o: $tType ).

thf(type_def_40,type,
    produc859450856879609959at_nat: $tType ).

thf(type_def_41,type,
    produc2934264451710624999od_o_o: $tType ).

thf(type_def_42,type,
    produc4972180933644002618e_term: $tType ).

thf(type_def_43,type,
    produc6241069584506657477e_term: $tType ).

thf(type_def_44,type,
    produc3658429121746597890et_nat: $tType ).

thf(type_def_45,type,
    produc8551481072490612790e_term: $tType ).

thf(type_def_46,type,
    set_Pr5488025237498180813et_nat: $tType ).

thf(type_def_47,type,
    option6357759511663192854e_term: $tType ).

thf(type_def_48,type,
    produc7248412053542808358at_nat: $tType ).

thf(type_def_49,type,
    set_Pr5094982260447487303t_unit: $tType ).

thf(type_def_50,type,
    set_op4508134149509766951at_nat: $tType ).

thf(type_def_51,type,
    set_se7855581050983116737at_nat: $tType ).

thf(type_def_52,type,
    set_se6260736226359567993nt_int: $tType ).

thf(type_def_53,type,
    produc7819656566062154093et_nat: $tType ).

thf(type_def_54,type,
    produc7822875418678951345atural: $tType ).

thf(type_def_55,type,
    produc8923325533196201883nteger: $tType ).

thf(type_def_56,type,
    multis2468970476368604999at_nat: $tType ).

thf(type_def_57,type,
    filter1242075044329608583at_nat: $tType ).

thf(type_def_58,type,
    set_Pr8928021450653196913at_rat: $tType ).

thf(type_def_59,type,
    set_Pr6084635751276098665at_nat: $tType ).

thf(type_def_60,type,
    set_Pr3594552606344371909at_int: $tType ).

thf(type_def_61,type,
    set_Pr4105333604307423337at_rat: $tType ).

thf(type_def_62,type,
    set_Pr1261947904930325089at_nat: $tType ).

thf(type_def_63,type,
    set_Pr958786334691620121nt_int: $tType ).

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

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

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

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

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

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

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

thf(type_def_71,type,
    set_Pr2399638329824935915_rat_o: $tType ).

thf(type_def_72,type,
    set_Pr3149072824959771635_nat_o: $tType ).

thf(type_def_73,type,
    set_Pr4944855402158566229_o_rat: $tType ).

thf(type_def_74,type,
    set_Pr2101469702781467981_o_nat: $tType ).

thf(type_def_75,type,
    set_Pr8834758594704517033_o_int: $tType ).

thf(type_def_76,type,
    produc6271795597528267376eger_o: $tType ).

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

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

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

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

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

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

thf(type_def_83,type,
    heap_e7401611519738050253t_unit: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(type_def_128,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    archim2889992004027027881ng_rat: rat > int ).

thf(func_def_1,type,
    archim3151403230148437115or_rat: rat > int ).

thf(func_def_2,type,
    archimedean_frac_rat: rat > rat ).

thf(func_def_3,type,
    archim7778729529865785530nd_rat: rat > int ).

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

thf(func_def_5,type,
    rep_assn: assn > produc3658429121746597890et_nat > $o ).

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

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

thf(func_def_8,type,
    proper: ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_9,type,
    relH: set_nat > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > $o ).

thf(func_def_10,type,
    times_assn_raw: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_11,type,
    times_assn_raw_rel: produc2732055786443039994et_nat > produc2732055786443039994et_nat > $o ).

thf(func_def_12,type,
    wand_assn: assn > assn > assn ).

thf(func_def_13,type,
    wand_raw: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_14,type,
    wand_raw_rel: produc2732055786443039994et_nat > produc2732055786443039994et_nat > $o ).

thf(func_def_15,type,
    bNF_Cardinal_cone: set_Pr5094982260447487303t_unit ).

thf(func_def_16,type,
    bNF_Cardinal_ctwo: set_Product_prod_o_o ).

thf(func_def_17,type,
    bNF_Cardinal_czero_o: set_Product_prod_o_o ).

thf(func_def_18,type,
    bNF_Ca3172636760949973492d_of_o: set_o > set_Product_prod_o_o ).

thf(func_def_19,type,
    bNF_Ca3793111618940312692of_nat: set_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_20,type,
    bNF_Ca7083678892733797993t_unit: set_Product_unit > set_Pr5094982260447487303t_unit ).

thf(func_def_21,type,
    bNF_Ca8331644756375544342r_on_o: set_o > set_Product_prod_o_o > $o ).

thf(func_def_22,type,
    bNF_Ca1281551314933786834on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_23,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

thf(func_def_24,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

thf(func_def_25,type,
    bNF_id2059982186938784458at_o_o: ( ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ) > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_26,type,
    bNF_id4470576313039291732at_o_o: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_27,type,
    bNF_id_bnf_o_o_o: ( $o > $o > $o ) > $o > $o > $o ).

thf(func_def_28,type,
    bNF_id_bnf_o_int_o: ( $o > int > $o ) > $o > int > $o ).

thf(func_def_29,type,
    bNF_id_bnf_o_nat_o: ( $o > nat > $o ) > $o > nat > $o ).

thf(func_def_30,type,
    bNF_id_bnf_o_o: ( $o > $o ) > $o > $o ).

thf(func_def_31,type,
    bNF_id_bnf_int_o_o: ( int > $o > $o ) > int > $o > $o ).

thf(func_def_32,type,
    bNF_id_bnf_int_int_o: ( int > int > $o ) > int > int > $o ).

thf(func_def_33,type,
    bNF_id_bnf_int_nat_o: ( int > nat > $o ) > int > nat > $o ).

thf(func_def_34,type,
    bNF_id_bnf_int_o: ( int > $o ) > int > $o ).

thf(func_def_35,type,
    bNF_id_bnf_nat_o_o: ( nat > $o > $o ) > nat > $o > $o ).

thf(func_def_36,type,
    bNF_id_bnf_nat_int_o: ( nat > int > $o ) > nat > int > $o ).

thf(func_def_37,type,
    bNF_id_bnf_nat_nat_o: ( nat > nat > $o ) > nat > nat > $o ).

thf(func_def_38,type,
    bNF_id_bnf_nat_o: ( nat > $o ) > nat > $o ).

thf(func_def_39,type,
    bNF_id146787821168362314_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_40,type,
    bNF_id5045731369644952736_nat_o: ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_41,type,
    bNF_id5557877041440844106_nat_o: ( produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o ).

thf(func_def_42,type,
    bNF_id1044457264471098170_nat_o: ( produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat > $o ).

thf(func_def_43,type,
    bNF_id1382368747416007662at_o_o: ( set_nat > $o > $o ) > set_nat > $o > $o ).

thf(func_def_44,type,
    bNF_id293821497076346774_nat_o: ( set_nat > set_nat > $o ) > set_nat > set_nat > $o ).

thf(func_def_45,type,
    bNF_id_bnf_set_nat_o: ( set_nat > $o ) > set_nat > $o ).

thf(func_def_46,type,
    bNF_id745042670895148362_int_o: ( set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_47,type,
    bNF_id9176111459293603464_int_o: ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int > $o ).

thf(func_def_48,type,
    bNF_id_bnf_o: $o > $o ).

thf(func_def_49,type,
    bNF_id_bnf_int: int > int ).

thf(func_def_50,type,
    bNF_id_bnf_list_nat: list_nat > list_nat ).

thf(func_def_51,type,
    bNF_id_bnf_nat: nat > nat ).

thf(func_def_52,type,
    bNF_id_bnf_rat: rat > rat ).

thf(func_def_53,type,
    bNF_eq_onp_list_char: ( list_char > $o ) > list_char > list_char > $o ).

thf(func_def_54,type,
    bNF_re5598663031114558885t_char: ( $o > $o > $o ) > ( ( $o > $o > $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > $o > $o > list_char > list_char ) > $o ) > ( $o > $o > $o > $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > $o > $o > $o > list_char > list_char ) > $o ).

thf(func_def_55,type,
    bNF_re8691941649098027561iteral: ( $o > $o > $o ) > ( ( $o > $o > $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > $o > $o > literal > literal ) > $o ) > ( $o > $o > $o > $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > $o > $o > $o > literal > literal ) > $o ).

thf(func_def_56,type,
    bNF_re7347849368244578525t_char: ( $o > $o > $o ) > ( ( $o > $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > $o > list_char > list_char ) > $o ) > ( $o > $o > $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > $o > $o > list_char > list_char ) > $o ).

thf(func_def_57,type,
    bNF_re5719858693005739489iteral: ( $o > $o > $o ) > ( ( $o > $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > $o > literal > literal ) > $o ) > ( $o > $o > $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > $o > $o > literal > literal ) > $o ).

thf(func_def_58,type,
    bNF_re7972843584066424825t_char: ( $o > $o > $o ) > ( ( $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > list_char > list_char ) > $o ) > ( $o > $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > $o > list_char > list_char ) > $o ).

thf(func_def_59,type,
    bNF_re136309367175754621iteral: ( $o > $o > $o ) > ( ( $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > literal > literal ) > $o ) > ( $o > $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > $o > literal > literal ) > $o ).

thf(func_def_60,type,
    bNF_re796896441190010845t_char: ( $o > $o > $o ) > ( ( $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > list_char > list_char ) > $o ) > ( $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > list_char > list_char ) > $o ).

thf(func_def_61,type,
    bNF_re2365650225897248225iteral: ( $o > $o > $o ) > ( ( $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > literal > literal ) > $o ) > ( $o > $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > $o > literal > literal ) > $o ).

thf(func_def_62,type,
    bNF_re4583855572895197261t_char: ( $o > $o > $o ) > ( ( $o > $o > list_char > list_char ) > ( $o > $o > list_char > list_char ) > $o ) > ( $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > list_char > list_char ) > $o ).

thf(func_def_63,type,
    bNF_re5778109699181701841iteral: ( $o > $o > $o ) > ( ( $o > $o > list_char > list_char ) > ( $o > $o > literal > literal ) > $o ) > ( $o > $o > $o > list_char > list_char ) > ( $o > $o > $o > literal > literal ) > $o ).

thf(func_def_64,type,
    bNF_re441219624009962717t_char: ( $o > $o > $o ) > ( ( $o > list_char > list_char ) > ( $o > list_char > list_char ) > $o ) > ( $o > $o > list_char > list_char ) > ( $o > $o > list_char > list_char ) > $o ).

thf(func_def_65,type,
    bNF_re1595102025518187489iteral: ( $o > $o > $o ) > ( ( $o > list_char > list_char ) > ( $o > literal > literal ) > $o ) > ( $o > $o > list_char > list_char ) > ( $o > $o > literal > literal ) > $o ).

thf(func_def_66,type,
    bNF_re6157522605288126113t_char: ( $o > $o > $o ) > ( ( list_char > list_char ) > ( list_char > list_char ) > $o ) > ( $o > list_char > list_char ) > ( $o > list_char > list_char ) > $o ).

thf(func_def_67,type,
    bNF_re6148748351543924773iteral: ( $o > $o > $o ) > ( ( list_char > list_char ) > ( literal > literal ) > $o ) > ( $o > list_char > list_char ) > ( $o > literal > literal ) > $o ).

thf(func_def_68,type,
    bNF_re3379532845092657523nteger: ( int > code_integer > $o ) > ( int > code_integer > $o ) > ( int > int ) > ( code_integer > code_integer ) > $o ).

thf(func_def_69,type,
    bNF_re3804157879324367682nt_int: ( int > code_integer > $o ) > ( int > int > $o ) > ( int > int ) > ( code_integer > int ) > $o ).

thf(func_def_70,type,
    bNF_re157797125943740599nt_int: ( int > int > $o ) > ( ( int > product_prod_int_int ) > ( int > product_prod_int_int ) > $o ) > ( int > int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > $o ).

thf(func_def_71,type,
    bNF_re3461391660133120880nt_rat: ( int > int > $o ) > ( ( int > product_prod_int_int ) > ( int > rat ) > $o ) > ( int > int > product_prod_int_int ) > ( int > int > rat ) > $o ).

thf(func_def_72,type,
    bNF_re982302072995117890nteger: ( int > int > $o ) > ( int > code_integer > $o ) > ( int > int ) > ( int > code_integer ) > $o ).

thf(func_def_73,type,
    bNF_re4712519889275205905nt_int: ( int > int > $o ) > ( int > int > $o ) > ( int > int ) > ( int > int ) > $o ).

thf(func_def_74,type,
    bNF_re6250860962936578807nt_int: ( int > int > $o ) > ( product_prod_int_int > product_prod_int_int > $o ) > ( int > product_prod_int_int ) > ( int > product_prod_int_int ) > $o ).

thf(func_def_75,type,
    bNF_re2214769303045360666nt_rat: ( int > int > $o ) > ( product_prod_int_int > rat > $o ) > ( int > product_prod_int_int ) > ( int > rat ) > $o ).

thf(func_def_76,type,
    bNF_re5828396963709814525t_char: ( list_Code_integer > list_Code_integer > $o ) > ( list_char > list_char > $o ) > ( list_Code_integer > list_char ) > ( list_Code_integer > list_char ) > $o ).

thf(func_def_77,type,
    bNF_re7775871201573978401char_o: ( list_char > list_char > $o ) > ( ( list_char > $o ) > ( list_char > $o ) > $o ) > ( list_char > list_char > $o ) > ( list_char > list_char > $o ) > $o ).

thf(func_def_78,type,
    bNF_re7399511318543894245t_char: ( list_char > list_char > $o ) > ( ( list_char > list_char ) > ( list_char > list_char ) > $o ) > ( list_char > list_char > list_char ) > ( list_char > list_char > list_char ) > $o ).

thf(func_def_79,type,
    bNF_re6668474094832959905ar_o_o: ( list_char > list_char > $o ) > ( $o > $o > $o ) > ( list_char > $o ) > ( list_char > $o ) > $o ).

thf(func_def_80,type,
    bNF_re901197953848981245nteger: ( list_char > list_char > $o ) > ( list_Code_integer > list_Code_integer > $o ) > ( list_char > list_Code_integer ) > ( list_char > list_Code_integer ) > $o ).

thf(func_def_81,type,
    bNF_re1407854171455731685t_char: ( list_char > list_char > $o ) > ( list_char > list_char > $o ) > ( list_char > list_char ) > ( list_char > list_char ) > $o ).

thf(func_def_82,type,
    bNF_re76688982720252355at_nat: ( list_char > list_char > $o ) > ( nat > nat > $o ) > ( list_char > nat ) > ( list_char > nat ) > $o ).

thf(func_def_83,type,
    bNF_re7831395832754058691eral_o: ( list_char > literal > $o ) > ( ( list_char > $o ) > ( literal > $o ) > $o ) > ( list_char > list_char > $o ) > ( literal > literal > $o ) > $o ).

thf(func_def_84,type,
    bNF_re8730477052009823892al_o_o: ( list_char > literal > $o ) > ( $o > $o > $o ) > ( list_char > $o ) > ( literal > $o ) > $o ).

thf(func_def_85,type,
    bNF_re4991257583289732696t_char: ( list_char > literal > $o ) > ( list_char > list_char > $o ) > ( list_char > list_char ) > ( literal > list_char ) > $o ).

thf(func_def_86,type,
    bNF_re5453467372598631581iteral: ( list_char > literal > $o ) > ( list_char > literal > $o ) > ( list_char > list_char ) > ( literal > literal ) > $o ).

thf(func_def_87,type,
    bNF_re6830278522597306478at_int: ( nat > nat > $o ) > ( product_prod_nat_nat > int > $o ) > ( nat > product_prod_nat_nat ) > ( nat > int ) > $o ).

thf(func_def_88,type,
    bNF_re7876454716742015248nteger: ( num > num > $o ) > ( ( num > int ) > ( num > code_integer ) > $o ) > ( num > num > int ) > ( num > num > code_integer ) > $o ).

thf(func_def_89,type,
    bNF_re8402795839162346335um_int: ( num > num > $o ) > ( ( num > int ) > ( num > int ) > $o ) > ( num > num > int ) > ( num > num > int ) > $o ).

thf(func_def_90,type,
    bNF_re6501075790457514782nteger: ( num > num > $o ) > ( int > code_integer > $o ) > ( num > int ) > ( num > code_integer ) > $o ).

thf(func_def_91,type,
    bNF_re1822329894187522285nt_int: ( num > num > $o ) > ( int > int > $o ) > ( num > int ) > ( num > int ) > $o ).

thf(func_def_92,type,
    bNF_re5228765855967844073nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > ( ( product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > $o ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > $o ).

thf(func_def_93,type,
    bNF_re8699439704749558557nt_o_o: ( product_prod_int_int > product_prod_int_int > $o ) > ( $o > $o > $o ) > ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(func_def_94,type,
    bNF_re7145576690424134365nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > $o ).

thf(func_def_95,type,
    bNF_re7627151682743391978at_rat: ( product_prod_int_int > rat > $o ) > ( ( product_prod_int_int > product_prod_int_int ) > ( rat > rat ) > $o ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > ( rat > rat > rat ) > $o ).

thf(func_def_96,type,
    bNF_re1494630372529172596at_o_o: ( product_prod_int_int > rat > $o ) > ( $o > $o > $o ) > ( product_prod_int_int > $o ) > ( rat > $o ) > $o ).

thf(func_def_97,type,
    bNF_re8279943556446156061nt_rat: ( product_prod_int_int > rat > $o ) > ( product_prod_int_int > rat > $o ) > ( product_prod_int_int > product_prod_int_int ) > ( rat > rat ) > $o ).

thf(func_def_98,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_99,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_100,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_101,type,
    bNF_re4555766996558763186at_nat: ( product_prod_nat_nat > int > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ).

thf(func_def_102,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_103,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_104,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_105,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_106,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_107,type,
    bNF_re7934895593101944656at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > int ) > $o ).

thf(func_def_108,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_109,type,
    bNF_We2654380646378065620so_o_o: set_Pr1932065953672099015od_o_o ).

thf(func_def_110,type,
    bNF_We5258908940166488438at_nat: set_Pr4329608150637261639at_nat ).

thf(func_def_111,type,
    bNF_We8182288985678559134_o_nat: set_Pr457366540195662369at_nat ).

thf(func_def_112,type,
    bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_113,type,
    basic_1567116559311922317nt_int: ( int > $o ) > ( int > $o ) > product_prod_int_int > $o ).

thf(func_def_114,type,
    basic_4387203522000727145nt_int: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_115,type,
    basic_5328504652464829177at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_116,type,
    binomial: nat > nat > nat ).

thf(func_def_117,type,
    gbinom8545251970709558553nteger: code_integer > nat > code_integer ).

thf(func_def_118,type,
    gbinom7368847122466276068atural: code_natural > nat > code_natural ).

thf(func_def_119,type,
    gbinomial_int: int > nat > int ).

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

thf(func_def_121,type,
    gbinomial_rat: rat > nat > rat ).

thf(func_def_122,type,
    bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_123,type,
    bit_and_not_num: num > num > option_num ).

thf(func_def_124,type,
    bit_and_not_num_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_125,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_126,type,
    bit_or_not_num_neg: num > num > num ).

thf(func_def_127,type,
    bit_or3848514188828904588eg_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_128,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

thf(func_def_129,type,
    bit_ri7919022796975470100ot_int: int > int ).

thf(func_def_130,type,
    bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).

thf(func_def_131,type,
    bit_ri631733984087533419it_int: nat > int > int ).

thf(func_def_132,type,
    bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).

thf(func_def_133,type,
    bit_se2773287842338716102atural: code_natural > code_natural > code_natural ).

thf(func_def_134,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(func_def_135,type,
    bit_se727722235901077358nd_nat: nat > nat > nat ).

thf(func_def_136,type,
    bit_se3928097537394005634nteger: nat > code_integer > code_integer ).

thf(func_def_137,type,
    bit_se2751692689150723149atural: nat > code_natural > code_natural ).

thf(func_def_138,type,
    bit_se8568078237143864401it_int: nat > int > int ).

thf(func_def_139,type,
    bit_se8570568707652914677it_nat: nat > nat > nat ).

thf(func_def_140,type,
    bit_se1345352211410354436nteger: nat > code_integer > code_integer ).

thf(func_def_141,type,
    bit_se168947363167071951atural: nat > code_natural > code_natural ).

thf(func_def_142,type,
    bit_se2159334234014336723it_int: nat > int > int ).

thf(func_def_143,type,
    bit_se2161824704523386999it_nat: nat > nat > nat ).

thf(func_def_144,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

thf(func_def_145,type,
    bit_se943457434206027407atural: nat > code_natural ).

thf(func_def_146,type,
    bit_se2000444600071755411sk_int: nat > int ).

thf(func_def_147,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(func_def_148,type,
    bit_se1409905431419307370or_int: int > int > int ).

thf(func_def_149,type,
    bit_se1412395901928357646or_nat: nat > nat > nat ).

thf(func_def_150,type,
    bit_se7788150548672797655nteger: nat > code_integer > code_integer ).

thf(func_def_151,type,
    bit_se6611745700429515170atural: nat > code_natural > code_natural ).

thf(func_def_152,type,
    bit_se545348938243370406it_int: nat > int > int ).

thf(func_def_153,type,
    bit_se547839408752420682it_nat: nat > nat > nat ).

thf(func_def_154,type,
    bit_se2793503036327961859nteger: nat > code_integer > code_integer ).

thf(func_def_155,type,
    bit_se1617098188084679374atural: nat > code_natural > code_natural ).

thf(func_def_156,type,
    bit_se7879613467334960850it_int: nat > int > int ).

thf(func_def_157,type,
    bit_se7882103937844011126it_nat: nat > nat > nat ).

thf(func_def_158,type,
    bit_se1745604003318907178nteger: nat > code_integer > code_integer ).

thf(func_def_159,type,
    bit_se569199155075624693atural: nat > code_natural > code_natural ).

thf(func_def_160,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(func_def_161,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(func_def_162,type,
    bit_se8260200283734997820nteger: nat > code_integer > code_integer ).

thf(func_def_163,type,
    bit_se7083795435491715335atural: nat > code_natural > code_natural ).

thf(func_def_164,type,
    bit_se4203085406695923979it_int: nat > int > int ).

thf(func_def_165,type,
    bit_se4205575877204974255it_nat: nat > nat > nat ).

thf(func_def_166,type,
    bit_se3222712562003087583nteger: code_integer > code_integer > code_integer ).

thf(func_def_167,type,
    bit_se2046307713759805098atural: code_natural > code_natural > code_natural ).

thf(func_def_168,type,
    bit_se6526347334894502574or_int: int > int > int ).

thf(func_def_169,type,
    bit_se6528837805403552850or_nat: nat > nat > nat ).

thf(func_def_170,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(func_def_171,type,
    bit_take_bit_num: nat > num > option_num ).

thf(func_def_172,type,
    bit_un7362597486090784418nd_num: num > num > option_num ).

thf(func_def_173,type,
    bit_un4731106466462545111um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_174,type,
    bit_un6697907153464112080or_num: num > num > num ).

thf(func_def_175,type,
    bit_un4773296044027857193um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_176,type,
    bit_un2480387367778600638or_num: num > num > option_num ).

thf(func_def_177,type,
    bit_un2901131394128224187um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_178,type,
    boolea934052484356091300char_o: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > ( ( list_char > $o ) > list_char > $o ) > ( list_char > $o ) > ( list_char > $o ) > $o ).

thf(func_def_179,type,
    boolea1849928419393854478_int_o: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > ( ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(func_def_180,type,
    boolea7165431671056489859t_unit: ( product_unit > product_unit > product_unit ) > ( product_unit > product_unit > product_unit ) > ( product_unit > product_unit ) > product_unit > product_unit > $o ).

thf(func_def_181,type,
    boolea379910186789422830_set_o: ( set_o > set_o > set_o ) > ( set_o > set_o > set_o ) > ( set_o > set_o ) > set_o > set_o > $o ).

thf(func_def_182,type,
    boolea5824373010784320748et_int: ( set_int > set_int > set_int ) > ( set_int > set_int > set_int ) > ( set_int > set_int ) > set_int > set_int > $o ).

thf(func_def_183,type,
    boolea9074081411689916704st_nat: ( set_list_nat > set_list_nat > set_list_nat ) > ( set_list_nat > set_list_nat > set_list_nat ) > ( set_list_nat > set_list_nat ) > set_list_nat > set_list_nat > $o ).

thf(func_def_184,type,
    boolea778851993438741648et_nat: ( set_nat > set_nat > set_nat ) > ( set_nat > set_nat > set_nat ) > ( set_nat > set_nat ) > set_nat > set_nat > $o ).

thf(func_def_185,type,
    boolea51845251928480829at_nat: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > $o ).

thf(func_def_186,type,
    boolea949959532490082519at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_187,type,
    boolea6493995471900120728et_rat: ( set_rat > set_rat > set_rat ) > ( set_rat > set_rat > set_rat ) > ( set_rat > set_rat ) > set_rat > set_rat > $o ).

thf(func_def_188,type,
    code_Suc: code_natural > code_natural ).

thf(func_def_189,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

thf(func_def_190,type,
    code_cr_integer: int > code_integer > $o ).

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

thf(func_def_192,type,
    code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_193,type,
    code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_194,type,
    code_dup: code_integer > code_integer ).

thf(func_def_195,type,
    code_int_of_integer: code_integer > int ).

thf(func_def_196,type,
    code_integer_of_int: int > code_integer ).

thf(func_def_197,type,
    code_integer_of_nat: nat > code_integer ).

thf(func_def_198,type,
    code_integer_of_num: num > code_integer ).

thf(func_def_199,type,
    code_nat_of_integer: code_integer > nat ).

thf(func_def_200,type,
    code_nat_of_natural: code_natural > nat ).

thf(func_def_201,type,
    code_natural_of_nat: nat > code_natural ).

thf(func_def_202,type,
    code_negative: num > code_integer ).

thf(func_def_203,type,
    code_num_of_integer: code_integer > num ).

thf(func_def_204,type,
    code_pcr_integer: int > code_integer > $o ).

thf(func_def_205,type,
    code_sub: num > num > code_integer ).

thf(func_def_206,type,
    complete_Inf_Inf_int: set_int > int ).

thf(func_def_207,type,
    complete_Inf_Inf_nat: set_nat > nat ).

thf(func_def_208,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

thf(func_def_209,type,
    complete_Sup_Sup_int: set_int > int ).

thf(func_def_210,type,
    complete_Sup_Sup_nat: set_nat > nat ).

thf(func_def_211,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

thf(func_def_212,type,
    nat_to_rat_surj: nat > rat ).

thf(func_def_213,type,
    nth_item_rel: nat > nat > $o ).

thf(func_def_214,type,
    adjust_div: product_prod_int_int > int ).

thf(func_def_215,type,
    adjust_mod: int > int > int ).

thf(func_def_216,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_217,type,
    eucl_rel_int: int > int > product_prod_int_int > $o ).

thf(func_def_218,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

thf(func_def_219,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(func_def_220,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(func_def_221,type,
    unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).

thf(func_def_222,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(func_def_223,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(func_def_224,type,
    unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_225,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(func_def_226,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_227,type,
    euclid3395696857347342551nt_int: int > int ).

thf(func_def_228,type,
    euclid3398187327856392827nt_nat: nat > nat ).

thf(func_def_229,type,
    comm_s8582702949713902594nteger: code_integer > nat > code_integer ).

thf(func_def_230,type,
    comm_s4660882817536571857er_int: int > nat > int ).

thf(func_def_231,type,
    comm_s4663373288045622133er_nat: nat > nat > nat ).

thf(func_def_232,type,
    comm_s4028243227959126397er_rat: rat > nat > rat ).

thf(func_def_233,type,
    semiri3624122377584611663nteger: nat > code_integer ).

thf(func_def_234,type,
    semiri2447717529341329178atural: nat > code_natural ).

thf(func_def_235,type,
    semiri1406184849735516958ct_int: nat > int ).

thf(func_def_236,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(func_def_237,type,
    semiri773545260158071498ct_rat: nat > rat ).

thf(func_def_238,type,
    inverse_inverse_rat: rat > rat ).

thf(func_def_239,type,
    at_top_nat: filter_nat ).

thf(func_def_240,type,
    cofinite_nat: filter_nat ).

thf(func_def_241,type,
    eventually_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_242,type,
    eventu1038000079068216329at_nat: ( product_prod_nat_nat > $o ) > filter1242075044329608583at_nat > $o ).

thf(func_def_243,type,
    filter3212408913953519116et_nat: ( nat > set_nat ) > filter_set_nat > filter_nat > $o ).

thf(func_def_244,type,
    finite3254316476582989077op_nat: set_nat > filter_set_nat ).

thf(func_def_245,type,
    frequently_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_246,type,
    prod_filter_nat_nat: filter_nat > filter_nat > filter1242075044329608583at_nat ).

thf(func_def_247,type,
    finite1363419556375932405_nat_o: set_Pr4532377907799695533_nat_o > nat ).

thf(func_def_248,type,
    finite_card_o: set_o > nat ).

thf(func_def_249,type,
    finite_card_int: set_int > nat ).

thf(func_def_250,type,
    finite_card_list_nat: set_list_nat > nat ).

thf(func_def_251,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_252,type,
    finite6756421564338198497nt_int: set_Pr958786334691620121nt_int > nat ).

thf(func_def_253,type,
    finite711546835091564841at_nat: set_Pr1261947904930325089at_nat > nat ).

thf(func_def_254,type,
    finite3771342082235030671at_nat: set_Pr4329608150637261639at_nat > nat ).

thf(func_def_255,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

thf(func_def_256,type,
    finite_card_rat: set_rat > nat ).

thf(func_def_257,type,
    finite_card_set_o: set_set_o > nat ).

thf(func_def_258,type,
    finite_card_set_int: set_set_int > nat ).

thf(func_def_259,type,
    finite2364142230527598318st_nat: set_set_list_nat > nat ).

thf(func_def_260,type,
    finite_card_set_nat: set_set_nat > nat ).

thf(func_def_261,type,
    finite4053189226111446337nt_int: set_se6260736226359567993nt_int > nat ).

thf(func_def_262,type,
    finite4356350796350151305at_nat: set_se7855581050983116737at_nat > nat ).

thf(func_def_263,type,
    finite1149291290879098388et_nat: set_set_set_nat > nat ).

thf(func_def_264,type,
    finite_card_char: set_char > nat ).

thf(func_def_265,type,
    finite3252695134891459830_nat_o: set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_266,type,
    finite_finite_o: set_o > $o ).

thf(func_def_267,type,
    finite2119507909894593271er_nat: set_filter_nat > $o ).

thf(func_def_268,type,
    finite_finite_int: set_int > $o ).

thf(func_def_269,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

thf(func_def_270,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_271,type,
    finite4093902646404507527tion_o: set_option_o > $o ).

thf(func_def_272,type,
    finite1345302120164226195on_int: set_option_int > $o ).

thf(func_def_273,type,
    finite7857960318081769799st_nat: set_option_list_nat > $o ).

thf(func_def_274,type,
    finite5523153139673422903on_nat: set_option_nat > $o ).

thf(func_def_275,type,
    finite6732403688824079472at_nat: set_op4508134149509766951at_nat > $o ).

thf(func_def_276,type,
    finite2014924581280026175on_rat: set_option_rat > $o ).

thf(func_def_277,type,
    finite6120865539452801872od_o_o: set_Product_prod_o_o > $o ).

thf(func_def_278,type,
    finite6891994925333515530_o_int: set_Pr8834758594704517033_o_int > $o ).

thf(func_def_279,type,
    finite1846473907987936430_o_nat: set_Pr2101469702781467981_o_nat > $o ).

thf(func_def_280,type,
    finite7561617386449315510_o_rat: set_Pr4944855402158566229_o_rat > $o ).

thf(func_def_281,type,
    finite2998713641127702882nt_int: set_Pr958786334691620121nt_int > $o ).

thf(func_def_282,type,
    finite1918287321285529104at_nat: set_Pr8551490117392284871at_nat > $o ).

thf(func_def_283,type,
    finite5355008432043429460_nat_o: set_Pr3149072824959771635_nat_o > $o ).

thf(func_def_284,type,
    finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_285,type,
    finite2668982390342448306at_rat: set_Pr4105333604307423337at_rat > $o ).

thf(func_def_286,type,
    finite1617675504726861388_rat_o: set_Pr2399638329824935915_rat_o > $o ).

thf(func_def_287,type,
    finite1682805285291782414at_int: set_Pr3594552606344371909at_int > $o ).

thf(func_def_288,type,
    finite5860656304800979122at_nat: set_Pr6084635751276098665at_nat > $o ).

thf(func_def_289,type,
    finite2352427746407582394at_rat: set_Pr8928021450653196913at_rat > $o ).

thf(func_def_290,type,
    finite4343798906461161616at_nat: set_Pr4329608150637261639at_nat > $o ).

thf(func_def_291,type,
    finite_finite_rat: set_rat > $o ).

thf(func_def_292,type,
    finite_finite_set_o: set_set_o > $o ).

thf(func_def_293,type,
    finite6197958912794628473et_int: set_set_int > $o ).

thf(func_def_294,type,
    finite7047420756378620717st_nat: set_set_list_nat > $o ).

thf(func_def_295,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

thf(func_def_296,type,
    finite8744585540193469122nt_int: set_se6260736226359567993nt_int > $o ).

thf(func_def_297,type,
    finite9047747110432174090at_nat: set_se7855581050983116737at_nat > $o ).

thf(func_def_298,type,
    finite6867581373910428453et_rat: set_set_rat > $o ).

thf(func_def_299,type,
    finite5847741373460823677iteral: set_literal > $o ).

thf(func_def_300,type,
    finite6699802884135759036um_o_o: set_Sum_sum_o_o > $o ).

thf(func_def_301,type,
    finite1631874702275618462_o_int: set_Sum_sum_o_int > $o ).

thf(func_def_302,type,
    finite5809725721784815170_o_nat: set_Sum_sum_o_nat > $o ).

thf(func_def_303,type,
    finite2301497163391418442_o_rat: set_Sum_sum_o_rat > $o ).

thf(func_def_304,type,
    finite94888208985532392_nat_o: set_Sum_sum_nat_o > $o ).

thf(func_def_305,type,
    finite2679478125380364318at_rat: set_Sum_sum_nat_rat > $o ).

thf(func_def_306,type,
    finite5580927318523740128_rat_o: set_Sum_sum_rat_o > $o ).

thf(func_def_307,type,
    finite1693301020329698426at_int: set_Sum_sum_rat_int > $o ).

thf(func_def_308,type,
    finite5871152039838895134at_nat: set_Sum_sum_rat_nat > $o ).

thf(func_def_309,type,
    finite2362923481445498406at_rat: set_Sum_sum_rat_rat > $o ).

thf(func_def_310,type,
    bij_betw_int_nat: ( int > nat ) > set_int > set_nat > $o ).

thf(func_def_311,type,
    bij_be8532844293280997160at_nat: ( list_nat > nat ) > set_list_nat > set_nat > $o ).

thf(func_def_312,type,
    bij_betw_nat_int: ( nat > int ) > set_nat > set_int > $o ).

thf(func_def_313,type,
    bij_be6293887246118711976st_nat: ( nat > list_nat ) > set_nat > set_list_nat > $o ).

thf(func_def_314,type,
    bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).

thf(func_def_315,type,
    bij_be8693218025023041337at_nat: ( nat > product_prod_nat_nat ) > set_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_316,type,
    bij_be4790990086886966983at_nat: ( nat > sum_sum_nat_nat ) > set_nat > set_Sum_sum_nat_nat > $o ).

thf(func_def_317,type,
    bij_be5333170631980326235at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > set_nat > $o ).

thf(func_def_318,type,
    bij_be5432664580149595207at_nat: ( sum_sum_nat_nat > nat ) > set_Sum_sum_nat_nat > set_nat > $o ).

thf(func_def_319,type,
    comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_320,type,
    comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_321,type,
    comp_C3531382070062128313er_num: ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ).

thf(func_def_322,type,
    comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).

thf(func_def_323,type,
    comp_c4562247934908617188nteger: ( char > char ) > ( code_integer > char ) > code_integer > char ).

thf(func_def_324,type,
    id_o: $o > $o ).

thf(func_def_325,type,
    id_int: int > int ).

thf(func_def_326,type,
    id_nat: nat > nat ).

thf(func_def_327,type,
    id_num: num > num ).

thf(func_def_328,type,
    inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_329,type,
    map_fu1104370778922912482iteral: ( $o > $o ) > ( ( $o > $o > $o > $o > $o > $o > list_char > list_char ) > $o > $o > $o > $o > $o > $o > literal > literal ) > ( $o > $o > $o > $o > $o > $o > $o > list_char > list_char ) > $o > $o > $o > $o > $o > $o > $o > literal > literal ).

thf(func_def_330,type,
    map_fu7309004089335677210iteral: ( $o > $o ) > ( ( $o > $o > $o > $o > $o > list_char > list_char ) > $o > $o > $o > $o > $o > literal > literal ) > ( $o > $o > $o > $o > $o > $o > list_char > list_char ) > $o > $o > $o > $o > $o > $o > literal > literal ).

thf(func_def_331,type,
    map_fu1929762555066093878iteral: ( $o > $o ) > ( ( $o > $o > $o > $o > list_char > list_char ) > $o > $o > $o > $o > literal > literal ) > ( $o > $o > $o > $o > $o > list_char > list_char ) > $o > $o > $o > $o > $o > literal > literal ).

thf(func_def_332,type,
    map_fu5333924603067766298iteral: ( $o > $o ) > ( ( $o > $o > $o > list_char > list_char ) > $o > $o > $o > literal > literal ) > ( $o > $o > $o > $o > list_char > list_char ) > $o > $o > $o > $o > literal > literal ).

thf(func_def_333,type,
    map_fu1888220742600445322iteral: ( $o > $o ) > ( ( $o > $o > list_char > list_char ) > $o > $o > literal > literal ) > ( $o > $o > $o > list_char > list_char ) > $o > $o > $o > literal > literal ).

thf(func_def_334,type,
    map_fu5700776415251466522iteral: ( $o > $o ) > ( ( $o > list_char > list_char ) > $o > literal > literal ) > ( $o > $o > list_char > list_char ) > $o > $o > literal > literal ).

thf(func_def_335,type,
    map_fu4627020735845646302iteral: ( $o > $o ) > ( ( list_char > list_char ) > literal > literal ) > ( $o > list_char > list_char ) > $o > literal > literal ).

thf(func_def_336,type,
    map_fu2599414010547811884nteger: ( code_integer > int ) > ( int > code_integer ) > ( int > int ) > code_integer > code_integer ).

thf(func_def_337,type,
    map_fu7831380289885515383nt_rat: ( int > int ) > ( ( int > product_prod_int_int ) > int > rat ) > ( int > int > product_prod_int_int ) > int > int > rat ).

thf(func_def_338,type,
    map_fu3424225382358772769nt_rat: ( int > int ) > ( product_prod_int_int > rat ) > ( int > product_prod_int_int ) > int > rat ).

thf(func_def_339,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_340,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_341,type,
    map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).

thf(func_def_342,type,
    map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).

thf(func_def_343,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_344,type,
    map_fu6891787308814931657nteger: ( num > num ) > ( ( num > int ) > num > code_integer ) > ( num > num > int ) > num > num > code_integer ).

thf(func_def_345,type,
    map_fu8638147718074629079nteger: ( num > num ) > ( int > code_integer ) > ( num > int ) > num > code_integer ).

thf(func_def_346,type,
    map_fu4333342158222067775at_rat: ( rat > product_prod_int_int ) > ( ( product_prod_int_int > product_prod_int_int ) > rat > rat ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > rat > rat > rat ).

thf(func_def_347,type,
    map_fu898904425404107465nt_o_o: ( rat > product_prod_int_int ) > ( $o > $o ) > ( product_prod_int_int > $o ) > rat > $o ).

thf(func_def_348,type,
    map_fu5673905371560938248nt_rat: ( rat > product_prod_int_int ) > ( product_prod_int_int > rat ) > ( product_prod_int_int > product_prod_int_int ) > rat > rat ).

thf(func_def_349,type,
    map_fu2661873803724901240eral_o: ( literal > list_char ) > ( ( list_char > $o ) > literal > $o ) > ( list_char > list_char > $o ) > literal > literal > $o ).

thf(func_def_350,type,
    map_fu6698795530259886495ar_o_o: ( literal > list_char ) > ( $o > $o ) > ( list_char > $o ) > literal > $o ).

thf(func_def_351,type,
    map_fu7398138089906338514iteral: ( literal > list_char ) > ( list_char > literal ) > ( list_char > list_char ) > literal > literal ).

thf(func_def_352,type,
    fun_max_strict: set_Pr4329608150637261639at_nat ).

thf(func_def_353,type,
    fun_max_weak: set_Pr4329608150637261639at_nat ).

thf(func_def_354,type,
    fun_min_strict: set_Pr4329608150637261639at_nat ).

thf(func_def_355,type,
    fun_min_weak: set_Pr4329608150637261639at_nat ).

thf(func_def_356,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

thf(func_def_357,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

thf(func_def_358,type,
    fun_re7357418987779152907at_nat: produc4193628355235574503at_nat > $o ).

thf(func_def_359,type,
    fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).

thf(func_def_360,type,
    gcd_Gcd_int: set_int > int ).

thf(func_def_361,type,
    gcd_Gcd_nat: set_nat > nat ).

thf(func_def_362,type,
    gcd_Lcm_int: set_int > int ).

thf(func_def_363,type,
    gcd_Lcm_nat: set_nat > nat ).

thf(func_def_364,type,
    bezw: nat > nat > product_prod_int_int ).

thf(func_def_365,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_366,type,
    gcd_gcd_int: int > int > int ).

thf(func_def_367,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(func_def_368,type,
    gcd_lcm_int: int > int > int ).

thf(func_def_369,type,
    gcd_lcm_nat: nat > nat > nat ).

thf(func_def_370,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_371,type,
    abs_abs_Code_integer: code_integer > code_integer ).

thf(func_def_372,type,
    abs_abs_int: int > int ).

thf(func_def_373,type,
    abs_abs_rat: rat > rat ).

thf(func_def_374,type,
    comm_m8764728085499324515char_o: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > ( list_char > $o ) > $o ).

thf(func_def_375,type,
    comm_m5839176995973721103_int_o: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(func_def_376,type,
    comm_monoid_assn: ( assn > assn > assn ) > assn > $o ).

thf(func_def_377,type,
    comm_m1654649897431166824nteger: ( code_integer > code_integer > code_integer ) > code_integer > $o ).

thf(func_def_378,type,
    comm_monoid_int: ( int > int > int ) > int > $o ).

thf(func_def_379,type,
    comm_m1862543879040115196at_nat: ( multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ) > multis2468970476368604999at_nat > $o ).

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

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

thf(func_def_382,type,
    comm_monoid_set_o: ( set_o > set_o > set_o ) > set_o > $o ).

thf(func_def_383,type,
    comm_monoid_set_int: ( set_int > set_int > set_int ) > set_int > $o ).

thf(func_def_384,type,
    comm_m4511514676032769697st_nat: ( set_list_nat > set_list_nat > set_list_nat ) > set_list_nat > $o ).

thf(func_def_385,type,
    comm_monoid_set_nat: ( set_nat > set_nat > set_nat ) > set_nat > $o ).

thf(func_def_386,type,
    comm_m4707310049023135612at_nat: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat > $o ).

thf(func_def_387,type,
    comm_m5709050211238513046at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_388,type,
    comm_m2457627138559323900at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_389,type,
    comm_monoid_set_rat: ( set_rat > set_rat > set_rat ) > set_rat > $o ).

thf(func_def_390,type,
    minus_2803741817741520073at_o_o: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_391,type,
    minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_392,type,
    minus_6821098565838606101char_o: ( list_char > $o ) > ( list_char > $o ) > list_char > $o ).

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

thf(func_def_394,type,
    minus_711738161318947805_int_o: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_395,type,
    minus_6910147592129066416_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > set_nat > $o ).

thf(func_def_396,type,
    minus_357216186751819389_int_o: ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int > $o ).

thf(func_def_397,type,
    minus_minus_assn: assn > assn > assn ).

thf(func_def_398,type,
    minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).

thf(func_def_399,type,
    minus_7197305767214868737atural: code_natural > code_natural > code_natural ).

thf(func_def_400,type,
    minus_minus_int: int > int > int ).

thf(func_def_401,type,
    minus_4286766774447292334at_nat: multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_402,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_403,type,
    minus_3524152463667985524t_unit: product_unit > product_unit > product_unit ).

thf(func_def_404,type,
    minus_minus_rat: rat > rat > rat ).

thf(func_def_405,type,
    minus_1801376950450012436_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_406,type,
    minus_minus_set_o: set_o > set_o > set_o ).

thf(func_def_407,type,
    minus_2355218937544613996nteger: set_Code_integer > set_Code_integer > set_Code_integer ).

thf(func_def_408,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(func_def_409,type,
    minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(func_def_410,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_411,type,
    minus_1052850069191792384nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_412,type,
    minus_5060654252129873198at_nat: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ).

thf(func_def_413,type,
    minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_414,type,
    minus_3314409938677909166at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_415,type,
    minus_minus_set_rat: set_rat > set_rat > set_rat ).

thf(func_def_416,type,
    minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat ).

thf(func_def_417,type,
    minus_2612819937483484256nt_int: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int > set_se6260736226359567993nt_int ).

thf(func_def_418,type,
    monoid_list_char_o: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > ( list_char > $o ) > $o ).

thf(func_def_419,type,
    monoid6910981727789844035_int_o: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(func_def_420,type,
    monoid_assn: ( assn > assn > assn ) > assn > $o ).

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

thf(func_def_422,type,
    monoid_int: ( int > int > int ) > int > $o ).

thf(func_def_423,type,
    monoid66256789251010760at_nat: ( multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ) > multis2468970476368604999at_nat > $o ).

thf(func_def_424,type,
    monoid_nat: ( nat > nat > nat ) > nat > $o ).

thf(func_def_425,type,
    monoid_rat: ( rat > rat > rat ) > rat > $o ).

thf(func_def_426,type,
    monoid_set_o: ( set_o > set_o > set_o ) > set_o > $o ).

thf(func_def_427,type,
    monoid_set_int: ( set_int > set_int > set_int ) > set_int > $o ).

thf(func_def_428,type,
    monoid_set_list_nat: ( set_list_nat > set_list_nat > set_list_nat ) > set_list_nat > $o ).

thf(func_def_429,type,
    monoid_set_nat: ( set_nat > set_nat > set_nat ) > set_nat > $o ).

thf(func_def_430,type,
    monoid3323479476634721864at_nat: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat > $o ).

thf(func_def_431,type,
    monoid1519094961268053602at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_432,type,
    monoid534952638934301128at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_433,type,
    monoid_set_rat: ( set_rat > set_rat > set_rat ) > set_rat > $o ).

thf(func_def_434,type,
    monoid_literal: ( literal > literal > literal ) > literal > $o ).

thf(func_def_435,type,
    one_one_assn: assn ).

thf(func_def_436,type,
    one_one_Code_integer: code_integer ).

thf(func_def_437,type,
    one_one_Code_natural: code_natural ).

thf(func_def_438,type,
    one_one_int: int ).

thf(func_def_439,type,
    one_one_nat: nat ).

thf(func_def_440,type,
    one_one_rat: rat ).

thf(func_def_441,type,
    plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).

thf(func_def_442,type,
    plus_p4538020629002901425atural: code_natural > code_natural > code_natural ).

thf(func_def_443,type,
    plus_plus_int: int > int > int ).

thf(func_def_444,type,
    plus_p7104986032573967614at_nat: multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_445,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_446,type,
    plus_plus_num: num > num > num ).

thf(func_def_447,type,
    plus_plus_rat: rat > rat > rat ).

thf(func_def_448,type,
    plus_plus_literal: literal > literal > literal ).

thf(func_def_449,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

thf(func_def_450,type,
    sgn_sgn_int: int > int ).

thf(func_def_451,type,
    sgn_sgn_rat: rat > rat ).

thf(func_def_452,type,
    times_times_assn: assn > assn > assn ).

thf(func_def_453,type,
    times_3573771949741848930nteger: code_integer > code_integer > code_integer ).

thf(func_def_454,type,
    times_2397367101498566445atural: code_natural > code_natural > code_natural ).

thf(func_def_455,type,
    times_times_int: int > int > int ).

thf(func_def_456,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_457,type,
    times_times_num: num > num > num ).

thf(func_def_458,type,
    times_times_rat: rat > rat > rat ).

thf(func_def_459,type,
    uminus8928876914783121465at_o_o: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_460,type,
    uminus_uminus_int_o: ( int > $o ) > int > $o ).

thf(func_def_461,type,
    uminus7154032370948614053char_o: ( list_char > $o ) > list_char > $o ).

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

thf(func_def_463,type,
    uminus7117520113953359693_int_o: ( product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_464,type,
    uminus6401447641752708672_nat_o: ( set_nat > $o ) > set_nat > $o ).

thf(func_def_465,type,
    uminus8147837162492574189_int_o: ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int > $o ).

thf(func_def_466,type,
    uminus_uminus_assn: assn > assn ).

thf(func_def_467,type,
    uminus1351360451143612070nteger: code_integer > code_integer ).

thf(func_def_468,type,
    uminus_uminus_int: int > int ).

thf(func_def_469,type,
    uminus2952777764628376836t_unit: product_unit > product_unit ).

thf(func_def_470,type,
    uminus_uminus_rat: rat > rat ).

thf(func_def_471,type,
    uminus5254974436814262692_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_472,type,
    uminus_uminus_set_o: set_o > set_o ).

thf(func_def_473,type,
    uminus1532241313380277803et_int: set_int > set_int ).

thf(func_def_474,type,
    uminus3195874150345416415st_nat: set_list_nat > set_list_nat ).

thf(func_def_475,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

thf(func_def_476,type,
    uminus2330091110623919550at_nat: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ).

thf(func_def_477,type,
    uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_478,type,
    uminus935396558254630718at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_479,type,
    uminus2201863774496077783et_rat: set_rat > set_rat ).

thf(func_def_480,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

thf(func_def_481,type,
    uminus6423885277529793776nt_int: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int ).

thf(func_def_482,type,
    zero_z3403309356797280102nteger: code_integer ).

thf(func_def_483,type,
    zero_z2226904508553997617atural: code_natural ).

thf(func_def_484,type,
    zero_zero_int: int ).

thf(func_def_485,type,
    zero_z1048942125864253310at_nat: multis2468970476368604999at_nat ).

thf(func_def_486,type,
    zero_zero_nat: nat ).

thf(func_def_487,type,
    zero_zero_rat: rat ).

thf(func_def_488,type,
    zero_zero_literal: literal ).

thf(func_def_489,type,
    groups6742167275697360483_o_nat: ( ( produc3658429121746597890et_nat > $o ) > nat ) > set_Pr4532377907799695533_nat_o > nat ).

thf(func_def_490,type,
    groups4406642042086082107nteger: ( $o > code_integer ) > set_o > code_integer ).

thf(func_def_491,type,
    groups3230237193842799622atural: ( $o > code_natural ) > set_o > code_natural ).

thf(func_def_492,type,
    groups8505340233167759370_o_int: ( $o > int ) > set_o > int ).

thf(func_def_493,type,
    groups8507830703676809646_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_494,type,
    groups7872700643590313910_o_rat: ( $o > rat ) > set_o > rat ).

thf(func_def_495,type,
    groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_496,type,
    groups6697149243333190288atural: ( int > code_natural ) > set_int > code_natural ).

thf(func_def_497,type,
    groups4538972089207619220nt_int: ( int > int ) > set_int > int ).

thf(func_def_498,type,
    groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_499,type,
    groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_500,type,
    groups4396056296759096172at_nat: ( list_nat > nat ) > set_list_nat > nat ).

thf(func_def_501,type,
    groups3760926236672600436at_rat: ( list_nat > rat ) > set_list_nat > rat ).

thf(func_def_502,type,
    groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_503,type,
    groups6325495683096345652atural: ( nat > code_natural ) > set_nat > code_natural ).

thf(func_def_504,type,
    groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).

thf(func_def_505,type,
    groups6857163185585827899at_nat: ( nat > multis2468970476368604999at_nat ) > set_nat > multis2468970476368604999at_nat ).

thf(func_def_506,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_507,type,
    groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_508,type,
    groups7057407298757096921at_int: ( produc4166570645942440679at_nat > int ) > set_Pr8551490117392284871at_nat > int ).

thf(func_def_509,type,
    groups7059897769266147197at_nat: ( produc4166570645942440679at_nat > nat ) > set_Pr8551490117392284871at_nat > nat ).

thf(func_def_510,type,
    groups6424767709179651461at_rat: ( produc4166570645942440679at_nat > rat ) > set_Pr8551490117392284871at_nat > rat ).

thf(func_def_511,type,
    groups196832835297161892nteger: ( product_prod_nat_nat > code_integer ) > set_Pr1261947904930325089at_nat > code_integer ).

thf(func_def_512,type,
    groups975429370522433651at_int: ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > int ).

thf(func_def_513,type,
    groups977919841031483927at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_514,type,
    groups342789780944988191at_rat: ( product_prod_nat_nat > rat ) > set_Pr1261947904930325089at_nat > rat ).

thf(func_def_515,type,
    groups3858419854409063513at_int: ( produc3843707927480180839at_nat > int ) > set_Pr4329608150637261639at_nat > int ).

thf(func_def_516,type,
    groups3860910324918113789at_nat: ( produc3843707927480180839at_nat > nat ) > set_Pr4329608150637261639at_nat > nat ).

thf(func_def_517,type,
    groups3225780264831618053at_rat: ( produc3843707927480180839at_nat > rat ) > set_Pr4329608150637261639at_nat > rat ).

thf(func_def_518,type,
    groups9190459664516455967nteger: ( set_nat > code_integer ) > set_set_nat > code_integer ).

thf(func_def_519,type,
    groups8292507037921071086at_int: ( set_nat > int ) > set_set_nat > int ).

thf(func_def_520,type,
    groups8294997508430121362at_nat: ( set_nat > nat ) > set_set_nat > nat ).

thf(func_def_521,type,
    groups7659867448343625626at_rat: ( set_nat > rat ) > set_set_nat > rat ).

thf(func_def_522,type,
    groups3738144136874984124nteger: ( set_Pr958786334691620121nt_int > code_integer ) > set_se6260736226359567993nt_int > code_integer ).

thf(func_def_523,type,
    groups185207323561075247nt_nat: ( set_Pr958786334691620121nt_int > nat ) > set_se6260736226359567993nt_int > nat ).

thf(func_def_524,type,
    groups8773449300329355319nt_rat: ( set_Pr958786334691620121nt_int > rat ) > set_se6260736226359567993nt_int > rat ).

thf(func_def_525,type,
    groups1402912129352969042nteger: ( $o > code_integer ) > set_o > code_integer ).

thf(func_def_526,type,
    groups4553916814277028129_o_int: ( $o > int ) > set_o > int ).

thf(func_def_527,type,
    groups4556407284786078405_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_528,type,
    groups3921277224699582669_o_rat: ( $o > rat ) > set_o > rat ).

thf(func_def_529,type,
    groups926780983652909934nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_530,type,
    groups2983280209131991357nt_int: ( int > int ) > set_int > int ).

thf(func_def_531,type,
    groups2985770679641041633nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_532,type,
    groups2350640619554545897nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_533,type,
    groups555127423416065298nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_534,type,
    groups1983926497230936801at_int: ( nat > int ) > set_nat > int ).

thf(func_def_535,type,
    groups1986416967739987077at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_536,type,
    groups1351286907653491341at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_537,type,
    groups9221925307898054856nteger: ( set_nat > code_integer ) > set_set_nat > code_integer ).

thf(func_def_538,type,
    groups713094340420062787at_rat: ( set_nat > rat ) > set_set_nat > rat ).

thf(func_def_539,type,
    groups5301882518646026715o_assn: ( $o > assn ) > set_o > assn ).

thf(func_def_540,type,
    groups7694694392188491536nteger: ( $o > code_integer ) > set_o > code_integer ).

thf(func_def_541,type,
    groups6518289543945209051atural: ( $o > code_natural ) > set_o > code_natural ).

thf(func_def_542,type,
    groups3502327434004483295_o_int: ( $o > int ) > set_o > int ).

thf(func_def_543,type,
    groups3504817904513533571_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_544,type,
    groups2869687844427037835_o_rat: ( $o > rat ) > set_o > rat ).

thf(func_def_545,type,
    groups7882442080178216443t_assn: ( int > assn ) > set_int > assn ).

thf(func_def_546,type,
    groups3827104343326376752nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_547,type,
    groups1705073143266064639nt_int: ( int > int ) > set_int > int ).

thf(func_def_548,type,
    groups1707563613775114915nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_549,type,
    groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_550,type,
    groups2905156660866384563at_int: ( list_nat > int ) > set_list_nat > int ).

thf(func_def_551,type,
    groups2907647131375434839at_nat: ( list_nat > nat ) > set_list_nat > nat ).

thf(func_def_552,type,
    groups6906906614972039071t_assn: ( nat > assn ) > set_nat > assn ).

thf(func_def_553,type,
    groups3455450783089532116nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_554,type,
    groups2279045934846249631atural: ( nat > code_natural ) > set_nat > code_natural ).

thf(func_def_555,type,
    groups705719431365010083at_int: ( nat > int ) > set_nat > int ).

thf(func_def_556,type,
    groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_557,type,
    groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_558,type,
    groups5938585286922990810at_rat: ( produc4166570645942440679at_nat > rat ) > set_Pr8551490117392284871at_nat > rat ).

thf(func_def_559,type,
    groups1230400874837758585nteger: ( product_prod_nat_nat > code_integer ) > set_Pr1261947904930325089at_nat > code_integer ).

thf(func_def_560,type,
    groups4075276357253098568at_int: ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > int ).

thf(func_def_561,type,
    groups4077766827762148844at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_562,type,
    groups3442636767675653108at_rat: ( product_prod_nat_nat > rat ) > set_Pr1261947904930325089at_nat > rat ).

thf(func_def_563,type,
    groups8874911130973611098at_rat: ( produc3843707927480180839at_nat > rat ) > set_Pr4329608150637261639at_nat > rat ).

thf(func_def_564,type,
    groups2761809935038513290nteger: ( set_nat > code_integer ) > set_set_nat > code_integer ).

thf(func_def_565,type,
    groups4246057289670975065at_int: ( set_nat > int ) > set_set_nat > int ).

thf(func_def_566,type,
    groups4248547760180025341at_nat: ( set_nat > nat ) > set_set_nat > nat ).

thf(func_def_567,type,
    groups3613417700093529605at_rat: ( set_nat > rat ) > set_set_nat > rat ).

thf(func_def_568,type,
    groups4561878855575611511st_nat: list_nat > nat ).

thf(func_def_569,type,
    nO_MAT8252062027627875367nteger: code_integer > code_integer > $o ).

thf(func_def_570,type,
    nO_MAT8427913294028938742er_int: code_integer > int > $o ).

thf(func_def_571,type,
    nO_MAT7795273704451493282er_rat: code_integer > rat > $o ).

thf(func_def_572,type,
    nO_MAT9066612773553876470nteger: int > code_integer > $o ).

thf(func_def_573,type,
    nO_MATCH_int_int: int > int > $o ).

thf(func_def_574,type,
    nO_MATCH_int_nat: int > nat > $o ).

thf(func_def_575,type,
    nO_MATCH_int_rat: int > rat > $o ).

thf(func_def_576,type,
    nO_MAT8694959213317031834nteger: nat > code_integer > $o ).

thf(func_def_577,type,
    nO_MATCH_nat_int: nat > int > $o ).

thf(func_def_578,type,
    nO_MATCH_nat_nat: nat > nat > $o ).

thf(func_def_579,type,
    nO_MATCH_nat_rat: nat > rat > $o ).

thf(func_def_580,type,
    nO_MAT243659986023775650nteger: rat > code_integer > $o ).

thf(func_def_581,type,
    nO_MATCH_rat_rat: rat > rat > $o ).

thf(func_def_582,type,
    the_int: ( int > $o ) > int ).

thf(func_def_583,type,
    the_Pr4378521158711661632nt_int: ( product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_584,type,
    lim_Product_unit: heap_e7401611519738050253t_unit > nat ).

thf(func_def_585,type,
    if_assn: $o > assn > assn > assn ).

thf(func_def_586,type,
    if_Code_integer: $o > code_integer > code_integer > code_integer ).

thf(func_def_587,type,
    if_Code_natural: $o > code_natural > code_natural > code_natural ).

thf(func_def_588,type,
    if_int: $o > int > int > int ).

thf(func_def_589,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(func_def_590,type,
    if_mul8430962117462786573at_nat: $o > multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_591,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_592,type,
    if_num: $o > num > num > num ).

thf(func_def_593,type,
    if_option_num: $o > option_num > option_num > option_num ).

thf(func_def_594,type,
    if_pred_Product_unit: $o > pred_Product_unit > pred_Product_unit > pred_Product_unit ).

thf(func_def_595,type,
    if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).

thf(func_def_596,type,
    if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_597,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(func_def_598,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_599,type,
    if_Pro3444522238938527101atural: $o > produc4675096598859438275atural > produc4675096598859438275atural > produc4675096598859438275atural ).

thf(func_def_600,type,
    if_rat: $o > rat > rat > rat ).

thf(func_def_601,type,
    if_set_int: $o > set_int > set_int > set_int ).

thf(func_def_602,type,
    if_Sum_sum_nat_nat: $o > sum_sum_nat_nat > sum_sum_nat_nat > sum_sum_nat_nat ).

thf(func_def_603,type,
    infini8530281810654367211te_nat: set_nat > nat > nat ).

thf(func_def_604,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(func_def_605,type,
    rep_Integ: int > product_prod_nat_nat ).

thf(func_def_606,type,
    cr_int: product_prod_nat_nat > int > $o ).

thf(func_def_607,type,
    dup: int > int ).

thf(func_def_608,type,
    abs_int: set_Pr1261947904930325089at_nat > int ).

thf(func_def_609,type,
    rep_int: int > set_Pr1261947904930325089at_nat ).

thf(func_def_610,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

thf(func_def_611,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

thf(func_def_612,type,
    intrel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_613,type,
    nat2: int > nat ).

thf(func_def_614,type,
    pcr_int: product_prod_nat_nat > int > $o ).

thf(func_def_615,type,
    ring_18347121197199848620nteger: int > code_integer ).

thf(func_def_616,type,
    ring_1_of_int_int: int > int ).

thf(func_def_617,type,
    ring_1_of_int_rat: int > rat ).

thf(func_def_618,type,
    sub: num > num > int ).

thf(func_def_619,type,
    inf_in8201999774870019094_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_620,type,
    inf_in3563340378267265229eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_621,type,
    inf_in2641120393918057659_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_622,type,
    inf_in3295504058751909687_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_623,type,
    inf_in9018898317438245890at_o_o: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_624,type,
    inf_in8045883074377559328_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_625,type,
    inf_inf_int_o: ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_626,type,
    inf_inf_list_char_o: ( list_char > $o ) > ( list_char > $o ) > list_char > $o ).

thf(func_def_627,type,
    inf_inf_nat_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > nat > $o ).

thf(func_def_628,type,
    inf_inf_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_629,type,
    inf_in3604695632404883862_int_o: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_630,type,
    inf_in5163264567034779214_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_631,type,
    inf_inf_set_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > set_nat > $o ).

thf(func_def_632,type,
    inf_in5102985939729578038_int_o: ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int > $o ).

thf(func_def_633,type,
    inf_inf_o: $o > $o > $o ).

thf(func_def_634,type,
    inf_inf_assn: assn > assn > assn ).

thf(func_def_635,type,
    inf_inf_filter_nat: filter_nat > filter_nat > filter_nat ).

thf(func_def_636,type,
    inf_inf_int: int > int > int ).

thf(func_def_637,type,
    inf_inf_nat: nat > nat > nat ).

thf(func_def_638,type,
    inf_inf_Product_unit: product_unit > product_unit > product_unit ).

thf(func_def_639,type,
    inf_inf_rat: rat > rat > rat ).

thf(func_def_640,type,
    inf_in1906310914598751387_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_641,type,
    inf_inf_set_o: set_o > set_o > set_o ).

thf(func_def_642,type,
    inf_in1364745209274528805nteger: set_Code_integer > set_Code_integer > set_Code_integer ).

thf(func_def_643,type,
    inf_inf_set_int: set_int > set_int > set_int ).

thf(func_def_644,type,
    inf_inf_set_list_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(func_def_645,type,
    inf_in6177012701088388009t_char: set_list_char > set_list_char > set_list_char ).

thf(func_def_646,type,
    inf_inf_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_647,type,
    inf_in8806012763027673301nt_int: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int ).

thf(func_def_648,type,
    inf_in3408396081536963678nteger: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger ).

thf(func_def_649,type,
    inf_in3088352823822785602et_nat: set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat ).

thf(func_def_650,type,
    inf_in1768905781608824518et_nat: set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat ).

thf(func_def_651,type,
    inf_in2576786181675586251nt_int: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int ).

thf(func_def_652,type,
    inf_in2269163501485487111nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_653,type,
    inf_in1697001100524423349at_nat: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ).

thf(func_def_654,type,
    inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_655,type,
    inf_in7913087082777306421at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_656,type,
    inf_inf_set_rat: set_rat > set_rat > set_rat ).

thf(func_def_657,type,
    inf_inf_set_set_nat: set_set_nat > set_set_nat > set_set_nat ).

thf(func_def_658,type,
    inf_in8396524679539076455nt_int: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int > set_se6260736226359567993nt_int ).

thf(func_def_659,type,
    inf_inf_set_literal: set_literal > set_literal > set_literal ).

thf(func_def_660,type,
    semila3963277552210239504char_o: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > ( list_char > $o ) > $o ).

thf(func_def_661,type,
    semila6538661356715008162_int_o: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(func_def_662,type,
    semila6106414119144251899nteger: ( code_integer > code_integer > code_integer ) > code_integer > $o ).

thf(func_def_663,type,
    semila9079005292280841162tr_int: ( int > int > int ) > int > $o ).

thf(func_def_664,type,
    semila9081495762789891438tr_nat: ( nat > nat > nat ) > nat > $o ).

thf(func_def_665,type,
    semila1065760912024005978_set_o: ( set_o > set_o > set_o ) > set_o > $o ).

thf(func_def_666,type,
    semila6287294981380917632et_int: ( set_int > set_int > set_int ) > set_int > $o ).

thf(func_def_667,type,
    semila7136768128396663732st_nat: ( set_list_nat > set_list_nat > set_list_nat ) > set_list_nat > $o ).

thf(func_def_668,type,
    semila1241773964035338532et_nat: ( set_nat > set_nat > set_nat ) > set_nat > $o ).

thf(func_def_669,type,
    semila6683195626996185257at_nat: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat > $o ).

thf(func_def_670,type,
    semila858173770281612099at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_671,type,
    semila3675781407871293737at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_672,type,
    semila6956917442496717612et_rat: ( set_rat > set_rat > set_rat ) > set_rat > $o ).

thf(func_def_673,type,
    semila3134969884451571676char_o: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > ( list_char > $o ) > ( ( list_char > $o ) > ( list_char > $o ) > $o ) > ( ( list_char > $o ) > ( list_char > $o ) > $o ) > $o ).

thf(func_def_674,type,
    semila8052717425514686422_int_o: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ) > ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ) > $o ).

thf(func_def_675,type,
    semila5926144314033625522er_nat: ( filter_nat > filter_nat > filter_nat ) > filter_nat > ( filter_nat > filter_nat > $o ) > ( filter_nat > filter_nat > $o ) > $o ).

thf(func_def_676,type,
    semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_677,type,
    semila2554085542299052326_set_o: ( set_o > set_o > set_o ) > set_o > ( set_o > set_o > $o ) > ( set_o > set_o > $o ) > $o ).

thf(func_def_678,type,
    semila6712789903965657268et_int: ( set_int > set_int > set_int ) > set_int > ( set_int > set_int > $o ) > ( set_int > set_int > $o ) > $o ).

thf(func_def_679,type,
    semila2613578647866687720st_nat: ( set_list_nat > set_list_nat > set_list_nat ) > set_list_nat > ( set_list_nat > set_list_nat > $o ) > ( set_list_nat > set_list_nat > $o ) > $o ).

thf(func_def_680,type,
    semila1667268886620078168et_nat: ( set_nat > set_nat > set_nat ) > set_nat > ( set_nat > set_nat > $o ) > ( set_nat > set_nat > $o ) > $o ).

thf(func_def_681,type,
    semila5207306265035627125at_nat: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat > ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > $o ) > ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > $o ) > $o ).

thf(func_def_682,type,
    semila4918476307565957903at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > $o ).

thf(func_def_683,type,
    semila6534579987270727413at_nat: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ) > $o ).

thf(func_def_684,type,
    semila7382412365081457248et_rat: ( set_rat > set_rat > set_rat ) > set_rat > ( set_rat > set_rat > $o ) > ( set_rat > set_rat > $o ) > $o ).

thf(func_def_685,type,
    semila1248733672344298208er_nat: ( nat > nat > nat ) > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_686,type,
    sup_su600977994968626096_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_687,type,
    sup_su234547053653886311eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_688,type,
    sup_su6535292691877529429_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_689,type,
    sup_su1630790145277462993_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_690,type,
    sup_su8003631835303541148at_o_o: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_691,type,
    sup_su4182031696650224058_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_692,type,
    sup_sup_int_o: ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_693,type,
    sup_sup_list_char_o: ( list_char > $o ) > ( list_char > $o ) > list_char > $o ).

thf(func_def_694,type,
    sup_su2200014604384089602_nat_o: ( multis2468970476368604999at_nat > multis2468970476368604999at_nat > $o ) > ( multis2468970476368604999at_nat > multis2468970476368604999at_nat > $o ) > multis2468970476368604999at_nat > multis2468970476368604999at_nat > $o ).

thf(func_def_695,type,
    sup_sup_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_696,type,
    sup_su8463660629351352368_int_o: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_697,type,
    sup_su6256023009775730178_nat_o: ( produc4166570645942440679at_nat > $o ) > ( produc4166570645942440679at_nat > $o ) > produc4166570645942440679at_nat > $o ).

thf(func_def_698,type,
    sup_su2080679670758317954_nat_o: ( produc3843707927480180839at_nat > $o ) > ( produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat > $o ).

thf(func_def_699,type,
    sup_sup_set_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > set_nat > $o ).

thf(func_def_700,type,
    sup_su1852724690005176016_int_o: ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int > $o ).

thf(func_def_701,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_702,type,
    sup_sup_assn: assn > assn > assn ).

thf(func_def_703,type,
    sup_sup_filter_nat: filter_nat > filter_nat > filter_nat ).

thf(func_def_704,type,
    sup_sup_int: int > int > int ).

thf(func_def_705,type,
    sup_sup_nat: nat > nat > nat ).

thf(func_def_706,type,
    sup_sup_Product_unit: product_unit > product_unit > product_unit ).

thf(func_def_707,type,
    sup_sup_rat: rat > rat > rat ).

thf(func_def_708,type,
    sup_su5209123915105501825_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_709,type,
    sup_sup_set_o: set_o > set_o > set_o ).

thf(func_def_710,type,
    sup_su848401254843788991nteger: set_Code_integer > set_Code_integer > set_Code_integer ).

thf(func_def_711,type,
    sup_sup_set_int: set_int > set_int > set_int ).

thf(func_def_712,type,
    sup_sup_set_list_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(func_def_713,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_714,type,
    sup_su3298353300217089135nt_int: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int ).

thf(func_def_715,type,
    sup_su4591284015454442744nteger: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger ).

thf(func_def_716,type,
    sup_su8975264963432250076et_nat: set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat ).

thf(func_def_717,type,
    sup_su7128418612487073120et_nat: set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat ).

thf(func_def_718,type,
    sup_su3382966977382714213nt_int: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int ).

thf(func_def_719,type,
    sup_su3035147773818789531at_nat: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ).

thf(func_def_720,type,
    sup_su6327502436637775413at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_721,type,
    sup_su718114333110466843at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat ).

thf(func_def_722,type,
    sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_723,type,
    sup_sup_set_rat: set_rat > set_rat > set_rat ).

thf(func_def_724,type,
    sup_sup_set_set_nat: set_set_nat > set_set_nat > set_set_nat ).

thf(func_def_725,type,
    sup_su2047564715030645325nt_int: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int > set_se6260736226359567993nt_int ).

thf(func_def_726,type,
    sup_sup_set_literal: set_literal > set_literal > set_literal ).

thf(func_def_727,type,
    lattic8263393255366662781ax_int: set_int > int ).

thf(func_def_728,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(func_def_729,type,
    lattic7826324295020591184_F_nat: ( nat > nat > nat ) > nat > set_nat > nat ).

thf(func_def_730,type,
    quotie6109894551476798619iteral: ( list_char > list_char > $o ) > ( list_char > literal ) > ( literal > list_char ) > ( list_char > literal > $o ) > $o ).

thf(func_def_731,type,
    append_int: list_int > list_int > list_int ).

thf(func_def_732,type,
    append_char: list_char > list_char > list_char ).

thf(func_def_733,type,
    butlast_nat: list_nat > list_nat ).

thf(func_def_734,type,
    filter_nat2: ( nat > $o ) > list_nat > list_nat ).

thf(func_def_735,type,
    fold_int_int: ( int > int > int ) > list_int > int > int ).

thf(func_def_736,type,
    fold_nat_nat: ( nat > nat > nat ) > list_nat > nat > nat ).

thf(func_def_737,type,
    last_nat: list_nat > nat ).

thf(func_def_738,type,
    linord1735203802627413978nt_int: ( int > int ) > list_int > list_int ).

thf(func_def_739,type,
    linord738340561235409698at_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_740,type,
    cons_int: int > list_int > list_int ).

thf(func_def_741,type,
    cons_nat: nat > list_nat > list_nat ).

thf(func_def_742,type,
    cons_char: char > list_char > list_char ).

thf(func_def_743,type,
    nil_int: list_int ).

thf(func_def_744,type,
    nil_nat: list_nat ).

thf(func_def_745,type,
    nil_char: list_char ).

thf(func_def_746,type,
    list_all2_char_char: ( char > char > $o ) > list_char > list_char > $o ).

thf(func_def_747,type,
    list_all_char: ( char > $o ) > list_char > $o ).

thf(func_def_748,type,
    map_Co843364623960961780r_char: ( code_integer > char ) > list_Code_integer > list_char ).

thf(func_def_749,type,
    map_nat_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_750,type,
    map_ch5843194146513361140nteger: ( char > code_integer ) > list_char > list_Code_integer ).

thf(func_def_751,type,
    map_char_char: ( char > char ) > list_char > list_char ).

thf(func_def_752,type,
    set_int2: list_int > set_int ).

thf(func_def_753,type,
    set_nat2: list_nat > set_nat ).

thf(func_def_754,type,
    set_char2: list_char > set_char ).

thf(func_def_755,type,
    lexordp_char: ( char > char > $o ) > list_char > list_char > $o ).

thf(func_def_756,type,
    lexordp_eq_char: ( char > char > $o ) > list_char > list_char > $o ).

thf(func_def_757,type,
    upt: nat > nat > list_nat ).

thf(func_def_758,type,
    upto: int > int > list_int ).

thf(func_def_759,type,
    upto_aux: int > int > list_int > list_int ).

thf(func_def_760,type,
    upto_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_761,type,
    biject576505603616484041nt_int: set_Pr1872883991513573699nt_int > $o ).

thf(func_def_762,type,
    biject9051520373387432658nteger: set_Pr1281608226676607948nteger > $o ).

thf(func_def_763,type,
    biject1468766312547416318et_nat: set_Pr8536935166611901872et_nat > $o ).

thf(func_def_764,type,
    biject2615096655818420098et_nat: set_Pr3286484037609594932et_nat > $o ).

thf(func_def_765,type,
    biject383251550997737151nt_int: set_Pr9222295170931077689nt_int > $o ).

thf(func_def_766,type,
    bijective_nat_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_767,type,
    pairse3534876335208825186e_term: ( int > option6357759511663192854e_term ) > product_prod_int_int > produc6576344331059438605e_term ).

thf(func_def_768,type,
    pairse6848479906795794847e_term: produc7773217078559923341nt_int > produc7773217078559923341nt_int > $o ).

thf(func_def_769,type,
    rel_re3331361160397388719_nat_o: set_Pr2161125870931222855_nat_o > set_Pr4532377907799695533_nat_o > set_Pr2161125870931222855_nat_o ).

thf(func_def_770,type,
    rel_restrict_o: set_Product_prod_o_o > set_o > set_Product_prod_o_o ).

thf(func_def_771,type,
    rel_restrict_int: set_Pr958786334691620121nt_int > set_int > set_Pr958786334691620121nt_int ).

thf(func_def_772,type,
    rel_restrict_nat: set_Pr1261947904930325089at_nat > set_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_773,type,
    rel_re2197483123211154633at_nat: set_Pr4759807026041935047at_nat > set_Pr8551490117392284871at_nat > set_Pr4759807026041935047at_nat ).

thf(func_def_774,type,
    rel_re36662636952045539at_nat: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat ).

thf(func_def_775,type,
    rel_re2767227651283840073at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat ).

thf(func_def_776,type,
    rel_restrict_set_nat: set_Pr5488025237498180813et_nat > set_set_nat > set_Pr5488025237498180813et_nat ).

thf(func_def_777,type,
    rel_re4349003428253852667nt_int: set_Pr8057934254988874055nt_int > set_se6260736226359567993nt_int > set_Pr8057934254988874055nt_int ).

thf(func_def_778,type,
    uncurry_int_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(func_def_779,type,
    uncurry_int_int_int: ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_780,type,
    uncurr7650761721940715016nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_781,type,
    uncurr7511940902602773877_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_782,type,
    uncurr8011562610307062878at_nat: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_783,type,
    add_ms2612439473150266591at_nat: product_prod_nat_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_784,type,
    ms_strict: set_Pr8551490117392284871at_nat ).

thf(func_def_785,type,
    ms_weak: set_Pr8551490117392284871at_nat ).

thf(func_def_786,type,
    pw_leq: multis2468970476368604999at_nat > multis2468970476368604999at_nat > $o ).

thf(func_def_787,type,
    set_ms8126754132646256062at_nat: multis2468970476368604999at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_788,type,
    suc: nat > nat ).

thf(func_def_789,type,
    case_nat_o: $o > ( nat > $o ) > nat > $o ).

thf(func_def_790,type,
    case_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_791,type,
    case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).

thf(func_def_792,type,
    pred: nat > nat ).

thf(func_def_793,type,
    semiring_1_Nats_int: set_int ).

thf(func_def_794,type,
    semiri4939895301339042750nteger: nat > code_integer ).

thf(func_def_795,type,
    semiri3763490453095760265atural: nat > code_natural ).

thf(func_def_796,type,
    semiri1314217659103216013at_int: nat > int ).

thf(func_def_797,type,
    semiri1316708129612266289at_nat: nat > nat ).

thf(func_def_798,type,
    semiri681578069525770553at_rat: nat > rat ).

thf(func_def_799,type,
    semiri4055485073559036834nteger: ( code_integer > code_integer ) > nat > code_integer > code_integer ).

thf(func_def_800,type,
    semiri8420488043553186161ux_int: ( int > int ) > nat > int > int ).

thf(func_def_801,type,
    semiri8422978514062236437ux_nat: ( nat > nat ) > nat > nat > nat ).

thf(func_def_802,type,
    semiri7787848453975740701ux_rat: ( rat > rat ) > nat > rat > rat ).

thf(func_def_803,type,
    size_size_list_int: list_int > nat ).

thf(func_def_804,type,
    size_size_list_nat: list_nat > nat ).

thf(func_def_805,type,
    size_size_list_char: list_char > nat ).

thf(func_def_806,type,
    size_size_literal: literal > nat ).

thf(func_def_807,type,
    nat_int_decode: nat > int ).

thf(func_def_808,type,
    nat_int_encode: int > nat ).

thf(func_def_809,type,
    nat_list_decode: nat > list_nat ).

thf(func_def_810,type,
    nat_list_decode_rel: nat > nat > $o ).

thf(func_def_811,type,
    nat_list_encode: list_nat > nat ).

thf(func_def_812,type,
    nat_list_encode_rel: list_nat > list_nat > $o ).

thf(func_def_813,type,
    nat_prod_decode: nat > product_prod_nat_nat ).

thf(func_def_814,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(func_def_815,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_816,type,
    nat_prod_encode: product_prod_nat_nat > nat ).

thf(func_def_817,type,
    nat_set_decode: nat > set_nat ).

thf(func_def_818,type,
    nat_set_encode: set_nat > nat ).

thf(func_def_819,type,
    nat_sum_decode: nat > sum_sum_nat_nat ).

thf(func_def_820,type,
    nat_sum_encode: sum_sum_nat_nat > nat ).

thf(func_def_821,type,
    nat_triangle: nat > nat ).

thf(func_def_822,type,
    bitM: num > num ).

thf(func_def_823,type,
    inc: num > num ).

thf(func_def_824,type,
    nat_of_num: num > nat ).

thf(func_def_825,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

thf(func_def_826,type,
    neg_numeral_dbl_int: int > int ).

thf(func_def_827,type,
    neg_numeral_dbl_rat: rat > rat ).

thf(func_def_828,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

thf(func_def_829,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(func_def_830,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

thf(func_def_831,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

thf(func_def_832,type,
    neg_nu5851722552734809277nc_int: int > int ).

thf(func_def_833,type,
    neg_nu5219082963157363817nc_rat: rat > rat ).

thf(func_def_834,type,
    neg_nu5755505904847501662nteger: num > num > code_integer ).

thf(func_def_835,type,
    neg_numeral_sub_int: num > num > int ).

thf(func_def_836,type,
    neg_numeral_sub_rat: num > num > rat ).

thf(func_def_837,type,
    bit0: num > num ).

thf(func_def_838,type,
    bit1: num > num ).

thf(func_def_839,type,
    one: num ).

thf(func_def_840,type,
    case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).

thf(func_def_841,type,
    num_of_nat: nat > num ).

thf(func_def_842,type,
    numera6620942414471956472nteger: num > code_integer ).

thf(func_def_843,type,
    numera5444537566228673987atural: num > code_natural ).

thf(func_def_844,type,
    numeral_numeral_int: num > int ).

thf(func_def_845,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_846,type,
    numeral_numeral_rat: num > rat ).

thf(func_def_847,type,
    pred_numeral: num > nat ).

thf(func_def_848,type,
    ring_16219924574208605041nteger: code_integer > $o ).

thf(func_def_849,type,
    ring_1_iszero_int: int > $o ).

thf(func_def_850,type,
    ring_1_iszero_rat: rat > $o ).

thf(func_def_851,type,
    none_num: option_num ).

thf(func_def_852,type,
    some_num: num > option_num ).

thf(func_def_853,type,
    case_option_int_num: int > ( num > int ) > option_num > int ).

thf(func_def_854,type,
    case_option_num_num: num > ( num > num ) > option_num > num ).

thf(func_def_855,type,
    case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).

thf(func_def_856,type,
    map_option_num_num: ( num > num ) > option_num > option_num ).

thf(func_def_857,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).

thf(func_def_858,type,
    order_2888998067076097458on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_859,type,
    bot_bo1403522918969695512_int_o: ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_860,type,
    bot_bo3000040243691356879eger_o: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_861,type,
    bot_bo3790638025767943357_nat_o: ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_862,type,
    bot_bo5580076615179976505_nat_o: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_863,type,
    bot_bo7963750851167320836at_o_o: ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_864,type,
    bot_bo8662317086119403298_int_o: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_865,type,
    bot_bot_o_o: $o > $o ).

thf(func_def_866,type,
    bot_bot_int_o: int > $o ).

thf(func_def_867,type,
    bot_bot_list_char_o: list_char > $o ).

thf(func_def_868,type,
    bot_bot_nat_nat_o: nat > nat > $o ).

thf(func_def_869,type,
    bot_bot_nat_o: nat > $o ).

thf(func_def_870,type,
    bot_bo8147686125503663512_int_o: product_prod_int_int > $o ).

thf(func_def_871,type,
    bot_bo482883023278783056_nat_o: product_prod_nat_nat > $o ).

thf(func_def_872,type,
    bot_bot_set_nat_o: set_nat > $o ).

thf(func_def_873,type,
    bot_bo2686080419298087992_int_o: set_Pr958786334691620121nt_int > $o ).

thf(func_def_874,type,
    bot_bot_o: $o ).

thf(func_def_875,type,
    bot_bot_assn: assn ).

thf(func_def_876,type,
    bot_bot_filter_nat: filter_nat ).

thf(func_def_877,type,
    bot_bot_nat: nat ).

thf(func_def_878,type,
    bot_bo2717538794563056311t_unit: pred_Product_unit ).

thf(func_def_879,type,
    bot_bot_Product_unit: product_unit ).

thf(func_def_880,type,
    bot_bo7824918357723582233_nat_o: set_Pr4532377907799695533_nat_o ).

thf(func_def_881,type,
    bot_bot_set_o: set_o ).

thf(func_def_882,type,
    bot_bo3990330152332043303nteger: set_Code_integer ).

thf(func_def_883,type,
    bot_bo498966703094740906er_nat: set_filter_nat ).

thf(func_def_884,type,
    bot_bot_set_int: set_int ).

thf(func_def_885,type,
    bot_bot_set_list_nat: set_list_nat ).

thf(func_def_886,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_887,type,
    bot_bo4508923176915781079nt_int: set_Pr1872883991513573699nt_int ).

thf(func_def_888,type,
    bot_bo5443222936135328352nteger: set_Pr1281608226676607948nteger ).

thf(func_def_889,type,
    bot_bo5635537948650799172et_nat: set_Pr8536935166611901872et_nat ).

thf(func_def_890,type,
    bot_bo1481135142794719944et_nat: set_Pr3286484037609594932et_nat ).

thf(func_def_891,type,
    bot_bo572930865798478029nt_int: set_Pr9222295170931077689nt_int ).

thf(func_def_892,type,
    bot_bo7073875226086086771od_o_o: set_Product_prod_o_o ).

thf(func_def_893,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

thf(func_def_894,type,
    bot_bo8422036546324065075at_nat: set_Pr8551490117392284871at_nat ).

thf(func_def_895,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_896,type,
    bot_bo5327735625951526323at_nat: set_Pr8693737435421807431at_nat ).

thf(func_def_897,type,
    bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).

thf(func_def_898,type,
    bot_bo3957492148770167129t_unit: set_Product_unit ).

thf(func_def_899,type,
    bot_bot_set_rat: set_rat ).

thf(func_def_900,type,
    bot_bot_set_set_nat: set_set_nat ).

thf(func_def_901,type,
    bot_bo1488462491386950373nt_int: set_se6260736226359567993nt_int ).

thf(func_def_902,type,
    bot_bot_set_literal: set_literal ).

thf(func_def_903,type,
    ord_Least_nat: ( nat > $o ) > nat ).

thf(func_def_904,type,
    ord_le5728734702541193924at_o_o: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( ( produc3658429121746597890et_nat > $o ) > $o ) > $o ).

thf(func_def_905,type,
    ord_less_int_o: ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_906,type,
    ord_less_list_char_o: ( list_char > $o ) > ( list_char > $o ) > $o ).

thf(func_def_907,type,
    ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_908,type,
    ord_le8176553561544679545_nat_o: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_909,type,
    ord_le8213806771718485336_int_o: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(func_def_910,type,
    ord_less_set_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).

thf(func_def_911,type,
    ord_le2688692977766382584_int_o: ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > $o ).

thf(func_def_912,type,
    ord_less_o: $o > $o > $o ).

thf(func_def_913,type,
    ord_less_assn: assn > assn > $o ).

thf(func_def_914,type,
    ord_le6747313008572928689nteger: code_integer > code_integer > $o ).

thf(func_def_915,type,
    ord_le5570908160329646204atural: code_natural > code_natural > $o ).

thf(func_def_916,type,
    ord_less_filter_nat: filter_nat > filter_nat > $o ).

thf(func_def_917,type,
    ord_less_int: int > int > $o ).

thf(func_def_918,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_919,type,
    ord_less_num: num > num > $o ).

thf(func_def_920,type,
    ord_le361264281704409273t_unit: product_unit > product_unit > $o ).

thf(func_def_921,type,
    ord_less_rat: rat > rat > $o ).

thf(func_def_922,type,
    ord_le2453136405763929_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_923,type,
    ord_less_set_o: set_o > set_o > $o ).

thf(func_def_924,type,
    ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_925,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(func_def_926,type,
    ord_le1190675801316882794st_nat: set_list_nat > set_list_nat > $o ).

thf(func_def_927,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_928,type,
    ord_le7563427860532173253nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_929,type,
    ord_le7642048601412989811at_nat: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > $o ).

thf(func_def_930,type,
    ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_931,type,
    ord_le2604355607129572851at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_932,type,
    ord_less_set_rat: set_rat > set_rat > $o ).

thf(func_def_933,type,
    ord_less_set_set_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_934,type,
    ord_le1924305788584680229nt_int: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int > $o ).

thf(func_def_935,type,
    ord_less_literal: literal > literal > $o ).

thf(func_def_936,type,
    ord_le2124322318746777828_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > $o ).

thf(func_def_937,type,
    ord_le4340812435750786203eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > $o ).

thf(func_def_938,type,
    ord_le6753239538765779593_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > $o ).

thf(func_def_939,type,
    ord_le8000401564054156549_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_940,type,
    ord_le1304494283415849680at_o_o: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( ( produc3658429121746597890et_nat > $o ) > $o ) > $o ).

thf(func_def_941,type,
    ord_le5643404153117327598_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > $o ).

thf(func_def_942,type,
    ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_943,type,
    ord_le4796328588573674190char_o: ( list_char > $o ) > ( list_char > $o ) > $o ).

thf(func_def_944,type,
    ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_945,type,
    ord_le729326519192465773_nat_o: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_946,type,
    ord_le8369615600986905444_int_o: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(func_def_947,type,
    ord_le3964352015994296041_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).

thf(func_def_948,type,
    ord_le8334417538754933252_int_o: ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > $o ).

thf(func_def_949,type,
    ord_less_eq_o: $o > $o > $o ).

thf(func_def_950,type,
    ord_less_eq_assn: assn > assn > $o ).

thf(func_def_951,type,
    ord_le3102999989581377725nteger: code_integer > code_integer > $o ).

thf(func_def_952,type,
    ord_le1926595141338095240atural: code_natural > code_natural > $o ).

thf(func_def_953,type,
    ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).

thf(func_def_954,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_955,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_956,type,
    ord_less_eq_num: num > num > $o ).

thf(func_def_957,type,
    ord_le3221252021190050221t_unit: product_unit > product_unit > $o ).

thf(func_def_958,type,
    ord_less_eq_rat: rat > rat > $o ).

thf(func_def_959,type,
    ord_le2965882846123202637_nat_o: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_960,type,
    ord_less_eq_set_o: set_o > set_o > $o ).

thf(func_def_961,type,
    ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_962,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(func_def_963,type,
    ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o ).

thf(func_def_964,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_965,type,
    ord_le135402666524580259nt_int: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > $o ).

thf(func_def_966,type,
    ord_le653643898420964396nteger: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > $o ).

thf(func_def_967,type,
    ord_le4763372923235995152et_nat: set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat > $o ).

thf(func_def_968,type,
    ord_le5966269811547037844et_nat: set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat > $o ).

thf(func_def_969,type,
    ord_le8725513860283290265nt_int: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > $o ).

thf(func_def_970,type,
    ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_971,type,
    ord_le8081472938463900775at_nat: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > $o ).

thf(func_def_972,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_973,type,
    ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_974,type,
    ord_less_eq_set_rat: set_rat > set_rat > $o ).

thf(func_def_975,type,
    ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_976,type,
    ord_le483042692224249369nt_int: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int > $o ).

thf(func_def_977,type,
    ord_less_eq_literal: literal > literal > $o ).

thf(func_def_978,type,
    ord_max_int: int > int > int ).

thf(func_def_979,type,
    ord_max_nat: nat > nat > nat ).

thf(func_def_980,type,
    ord_min_nat: nat > nat > nat ).

thf(func_def_981,type,
    order_mono_nat_nat: ( nat > nat ) > $o ).

thf(func_def_982,type,
    ordering_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_983,type,
    orderi2807725203697798511er_nat: ( filter_nat > filter_nat > $o ) > ( filter_nat > filter_nat > $o ) > filter_nat > $o ).

thf(func_def_984,type,
    ordering_top_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > $o ).

thf(func_def_985,type,
    ordering_top_set_o: ( set_o > set_o > $o ) > ( set_o > set_o > $o ) > set_o > $o ).

thf(func_def_986,type,
    ordering_top_set_int: ( set_int > set_int > $o ) > ( set_int > set_int > $o ) > set_int > $o ).

thf(func_def_987,type,
    orderi7613023277850353061st_nat: ( set_list_nat > set_list_nat > $o ) > ( set_list_nat > set_list_nat > $o ) > set_list_nat > $o ).

thf(func_def_988,type,
    ordering_top_set_nat: ( set_nat > set_nat > $o ) > ( set_nat > set_nat > $o ) > set_nat > $o ).

thf(func_def_989,type,
    orderi2172309028950807442at_nat: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_990,type,
    ordering_top_set_rat: ( set_rat > set_rat > $o ) > ( set_rat > set_rat > $o ) > set_rat > $o ).

thf(func_def_991,type,
    preordering_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_992,type,
    top_to6513043852502318900_int_o: ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_993,type,
    top_to8112647782992986859eger_o: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_994,type,
    top_to7190503160269336793_nat_o: ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_995,type,
    top_to2428096842796733269_nat_o: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_996,type,
    top_to2462227307520033056at_o_o: ( produc3658429121746597890et_nat > $o ) > $o ).

thf(func_def_997,type,
    top_to6261655714344447806_int_o: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_998,type,
    top_top_o_o: $o > $o ).

thf(func_def_999,type,
    top_top_int_o: int > $o ).

thf(func_def_1000,type,
    top_top_list_nat_o: list_nat > $o ).

thf(func_def_1001,type,
    top_top_list_char_o: list_char > $o ).

thf(func_def_1002,type,
    top_top_nat_o: nat > $o ).

thf(func_def_1003,type,
    top_to1578927101902068148_int_o: product_prod_int_int > $o ).

thf(func_def_1004,type,
    top_top_rat_o: rat > $o ).

thf(func_def_1005,type,
    top_top_set_nat_o: set_nat > $o ).

thf(func_def_1006,type,
    top_to6187514276045680724_int_o: set_Pr958786334691620121nt_int > $o ).

thf(func_def_1007,type,
    top_top_o: $o ).

thf(func_def_1008,type,
    top_top_assn: assn ).

thf(func_def_1009,type,
    top_top_filter_nat: filter_nat ).

thf(func_def_1010,type,
    top_top_Product_unit: product_unit ).

thf(func_def_1011,type,
    top_to4869887016220417533_nat_o: set_Pr4532377907799695533_nat_o ).

thf(func_def_1012,type,
    top_top_set_o: set_o ).

thf(func_def_1013,type,
    top_top_set_int: set_int ).

thf(func_def_1014,type,
    top_top_set_list_nat: set_list_nat ).

thf(func_def_1015,type,
    top_to3190553582279535303t_char: set_list_char ).

thf(func_def_1016,type,
    top_top_set_nat: set_nat ).

thf(func_def_1017,type,
    top_top_set_option_o: set_option_o ).

thf(func_def_1018,type,
    top_to6430115241214627170on_int: set_option_int ).

thf(func_def_1019,type,
    top_to1113147461230312982st_nat: set_option_list_nat ).

thf(func_def_1020,type,
    top_to8920198386146353926on_nat: set_option_nat ).

thf(func_def_1021,type,
    top_to3251141154256563319at_nat: set_op4508134149509766951at_nat ).

thf(func_def_1022,type,
    top_to2540212048668676366on_rat: set_option_rat ).

thf(func_def_1023,type,
    top_to2069137843433766899nt_int: set_Pr1872883991513573699nt_int ).

thf(func_def_1024,type,
    top_to7512759353274530428nteger: set_Pr1281608226676607948nteger ).

thf(func_def_1025,type,
    top_to1599102959340997728et_nat: set_Pr8536935166611901872et_nat ).

thf(func_def_1026,type,
    top_to8753217654552796900et_nat: set_Pr3286484037609594932et_nat ).

thf(func_def_1027,type,
    top_to3181862456159035625nt_int: set_Pr9222295170931077689nt_int ).

thf(func_def_1028,type,
    top_to7721136755696657239od_o_o: set_Product_prod_o_o ).

thf(func_def_1029,type,
    top_to4532601362410810969_o_int: set_Pr8834758594704517033_o_int ).

thf(func_def_1030,type,
    top_to7022684507342537725_o_nat: set_Pr2101469702781467981_o_nat ).

thf(func_def_1031,type,
    top_to642698169864860165_o_rat: set_Pr4944855402158566229_o_rat ).

thf(func_def_1032,type,
    top_to4366644338036079209nt_int: set_Pr958786334691620121nt_int ).

thf(func_def_1033,type,
    top_to8764741339697478167at_nat: set_Pr8551490117392284871at_nat ).

thf(func_def_1034,type,
    top_to8070287629520841379_nat_o: set_Pr3149072824959771635_nat_o ).

thf(func_def_1035,type,
    top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_1036,type,
    top_to7513191607651882425at_rat: set_Pr4105333604307423337at_rat ).

thf(func_def_1037,type,
    top_to7320853134386005659_rat_o: set_Pr2399638329824935915_rat_o ).

thf(func_def_1038,type,
    top_to7002410609688830997at_int: set_Pr3594552606344371909at_int ).

thf(func_def_1039,type,
    top_to269121717765781945at_nat: set_Pr6084635751276098665at_nat ).

thf(func_def_1040,type,
    top_to3112507417142880193at_rat: set_Pr8928021450653196913at_rat ).

thf(func_def_1041,type,
    top_to6833984726390702231at_nat: set_Pr4329608150637261639at_nat ).

thf(func_def_1042,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

thf(func_def_1043,type,
    top_top_set_rat: set_rat ).

thf(func_def_1044,type,
    top_top_set_set_o: set_set_o ).

thf(func_def_1045,type,
    top_top_set_set_int: set_set_int ).

thf(func_def_1046,type,
    top_to1619013496918823676st_nat: set_set_list_nat ).

thf(func_def_1047,type,
    top_top_set_set_nat: set_set_nat ).

thf(func_def_1048,type,
    top_to6034159466715884489nt_int: set_se6260736226359567993nt_int ).

thf(func_def_1049,type,
    top_to7629004291339433233at_nat: set_se7855581050983116737at_nat ).

thf(func_def_1050,type,
    top_top_set_set_rat: set_set_rat ).

thf(func_def_1051,type,
    top_top_set_char: set_char ).

thf(func_def_1052,type,
    top_to1686961084667892491um_o_o: set_Sum_sum_o_o ).

thf(func_def_1053,type,
    top_to3582428612079801253_o_int: set_Sum_sum_o_int ).

thf(func_def_1054,type,
    top_to6072511757011528009_o_nat: set_Sum_sum_o_nat ).

thf(func_def_1055,type,
    top_to8915897456388626257_o_rat: set_Sum_sum_o_rat ).

thf(func_def_1056,type,
    top_to7120114879189831663_nat_o: set_Sum_sum_nat_o ).

thf(func_def_1057,type,
    top_to6661820994512907621at_nat: set_Sum_sum_nat_nat ).

thf(func_def_1058,type,
    top_to281834657035230061at_rat: set_Sum_sum_nat_rat ).

thf(func_def_1059,type,
    top_to6370680384054995943_rat_o: set_Sum_sum_rat_o ).

thf(func_def_1060,type,
    top_to8994425695926954441at_int: set_Sum_sum_rat_int ).

thf(func_def_1061,type,
    top_to2261136804003905389at_nat: set_Sum_sum_rat_nat ).

thf(func_def_1062,type,
    top_to5104522503381003637at_rat: set_Sum_sum_rat_rat ).

thf(func_def_1063,type,
    power_power_assn: assn > nat > assn ).

thf(func_def_1064,type,
    power_8256067586552552935nteger: code_integer > nat > code_integer ).

thf(func_def_1065,type,
    power_7079662738309270450atural: code_natural > nat > code_natural ).

thf(func_def_1066,type,
    power_power_int: int > nat > int ).

thf(func_def_1067,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_1068,type,
    power_power_rat: rat > nat > rat ).

thf(func_def_1069,type,
    if_pred: $o > pred_Product_unit ).

thf(func_def_1070,type,
    not_pred: pred_Product_unit > pred_Product_unit ).

thf(func_def_1071,type,
    pred_Product_unit2: ( product_unit > $o ) > pred_Product_unit ).

thf(func_def_1072,type,
    eval_Product_unit: pred_Product_unit > product_unit > $o ).

thf(func_def_1073,type,
    single_Product_unit: product_unit > pred_Product_unit ).

thf(func_def_1074,type,
    produc6137756002093451184nteger: ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ).

thf(func_def_1075,type,
    produc2252593628808123835atural: ( code_natural > option6357759511663192854e_term ) > produc7822875418678951345atural > produc8731074985263844745atural ).

thf(func_def_1076,type,
    produc4305682042979456191nt_int: ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ).

thf(func_def_1077,type,
    produc3209952032786966637at_nat: ( nat > nat > nat ) > produc7248412053542808358at_nat > produc4471711990508489141at_nat ).

thf(func_def_1078,type,
    produc8603105652947943368nteger: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ).

thf(func_def_1079,type,
    produc3831813291587773865atural: ( produc4972180933644002618e_term > option6357759511663192854e_term ) > produc7822875418678951345atural > produc989692990947075319atural ).

thf(func_def_1080,type,
    produc7368190662567826135_nat_o: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc4928098042776334183_nat_o ).

thf(func_def_1081,type,
    produc2245416461498447860et_nat: ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > produc2732055786443039994et_nat ).

thf(func_def_1082,type,
    produc5001842942810119800et_nat: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > produc3925858234332021118et_nat ).

thf(func_def_1083,type,
    produc5700946648718959541nt_int: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ).

thf(func_def_1084,type,
    produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).

thf(func_def_1085,type,
    produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_1086,type,
    produc3574140220909816553atural: code_natural > code_natural > produc7822875418678951345atural ).

thf(func_def_1087,type,
    produc6639722614265839536atural: code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_1088,type,
    produc7507926704131184380et_nat: heap_e7401611519738050253t_unit > set_nat > produc3658429121746597890et_nat ).

thf(func_def_1089,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(func_def_1090,type,
    produc4348348721325984599at_nat: multis2468970476368604999at_nat > multis2468970476368604999at_nat > produc4166570645942440679at_nat ).

thf(func_def_1091,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_1092,type,
    product_Pair_nat_num: nat > num > product_prod_nat_num ).

thf(func_def_1093,type,
    produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat ).

thf(func_def_1094,type,
    product_Pair_num_num: num > num > product_prod_num_num ).

thf(func_def_1095,type,
    produc5950683997804057413e_term: option6357759511663192854e_term > option6357759511663192854e_term > produc6576344331059438605e_term ).

thf(func_def_1096,type,
    produc5069803637994805237atural: pred_Product_unit > produc7822875418678951345atural > produc4675096598859438275atural ).

thf(func_def_1097,type,
    produc4480994950612372183atural: produc7822875418678951345atural > produc7822875418678951345atural > produc6756470014200349799atural ).

thf(func_def_1098,type,
    produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).

thf(func_def_1099,type,
    produc4532415448927165861et_nat: set_nat > set_nat > produc7819656566062154093et_nat ).

thf(func_def_1100,type,
    produc763777882069021527od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > produc2934264451710624999od_o_o ).

thf(func_def_1101,type,
    produc8517790099723286449at_nat: set_Product_prod_o_o > set_Pr1261947904930325089at_nat > produc732395585841259969at_nat ).

thf(func_def_1102,type,
    produc782388162306416855nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > produc412284730452459111nt_int ).

thf(func_def_1103,type,
    produc5245064249948416855at_nat: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > produc4193628355235574503at_nat ).

thf(func_def_1104,type,
    produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ).

thf(func_def_1105,type,
    produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ).

thf(func_def_1106,type,
    produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_1107,type,
    product_Unity: product_unit ).

thf(func_def_1108,type,
    produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_1109,type,
    produc969530845752564945_nat_o: ( produc3925858234332021118et_nat > produc3925858234332021118et_nat ) > produc2732055786443039994et_nat > produc2732055786443039994et_nat ).

thf(func_def_1110,type,
    produc1515462096303866701_nat_o: ( produc3925858234332021118et_nat > produc3658429121746597890et_nat ) > produc2732055786443039994et_nat > produc3925858234332021118et_nat ).

thf(func_def_1111,type,
    produc717174245515237944e_term: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc1908205239877642774nteger > produc1908205239877642774nteger ).

thf(func_def_1112,type,
    produc7714581247149323085_nat_o: ( produc3658429121746597890et_nat > produc3925858234332021118et_nat ) > produc3925858234332021118et_nat > produc2732055786443039994et_nat ).

thf(func_def_1113,type,
    produc8750854537940449737_nat_o: ( produc3658429121746597890et_nat > produc3658429121746597890et_nat ) > produc3925858234332021118et_nat > produc3925858234332021118et_nat ).

thf(func_def_1114,type,
    produc7011684061226097695e_term: ( product_prod_int_int > product_prod_int_int ) > produc7773217078559923341nt_int > produc7773217078559923341nt_int ).

thf(func_def_1115,type,
    produc4973430039190721449e_term: ( product_prod_int_int > product_prod_int_int ) > produc2285326912895808259nt_int > produc2285326912895808259nt_int ).

thf(func_def_1116,type,
    produc2558449545302689196_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > $o ).

thf(func_def_1117,type,
    produc5122537100556696953nt_int: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ) > produc7773217078559923341nt_int > produc7773217078559923341nt_int ).

thf(func_def_1118,type,
    produc4111701587417901774et_int: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_int ) > produc7773217078559923341nt_int > set_int ).

thf(func_def_1119,type,
    produc8289552606927098482et_nat: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > produc7773217078559923341nt_int > set_nat ).

thf(func_def_1120,type,
    produc3577156405726439208et_nat: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_set_nat ) > produc7773217078559923341nt_int > set_set_nat ).

thf(func_def_1121,type,
    produc575502675617541261nt_int: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_se6260736226359567993nt_int ) > produc7773217078559923341nt_int > set_se6260736226359567993nt_int ).

thf(func_def_1122,type,
    produc6253627499356882019eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > $o ).

thf(func_def_1123,type,
    produc6512950862096126219nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ) > produc1908205239877642774nteger > produc1908205239877642774nteger ).

thf(func_def_1124,type,
    produc5700143819190870999et_int: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > produc1908205239877642774nteger > set_int ).

thf(func_def_1125,type,
    produc654622801845291899et_nat: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc1908205239877642774nteger > set_nat ).

thf(func_def_1126,type,
    produc5150382289251079596at_o_o: ( ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ) > produc4928098042776334183_nat_o > $o ).

thf(func_def_1127,type,
    produc838355143741117751_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > produc2732055786443039994et_nat > $o ).

thf(func_def_1128,type,
    produc2377985495875741467et_nat: ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > produc2732055786443039994et_nat ) > produc2732055786443039994et_nat > produc2732055786443039994et_nat ).

thf(func_def_1129,type,
    produc1437786849005270451_nat_o: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ).

thf(func_def_1130,type,
    produc4058941399401191971et_nat: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > produc3925858234332021118et_nat ) > produc3925858234332021118et_nat > produc3925858234332021118et_nat ).

thf(func_def_1131,type,
    produc4627640435386541703et_int: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_int ) > produc3925858234332021118et_nat > set_int ).

thf(func_def_1132,type,
    produc8805491454895738411et_nat: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ) > produc3925858234332021118et_nat > set_nat ).

thf(func_def_1133,type,
    produc2333231157791014625et_nat: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_set_nat ) > produc3925858234332021118et_nat > set_set_nat ).

thf(func_def_1134,type,
    produc1573362020775583542_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > $o ).

thf(func_def_1135,type,
    produc8492565224438309093nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ) > produc2285326912895808259nt_int > produc2285326912895808259nt_int ).

thf(func_def_1136,type,
    produc3619988815162578792et_nat: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > produc2285326912895808259nt_int > set_nat ).

thf(func_def_1137,type,
    produc4188289175737317920o_char: ( code_integer > $o > char ) > produc6271795597528267376eger_o > char ).

thf(func_def_1138,type,
    produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).

thf(func_def_1139,type,
    produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).

thf(func_def_1140,type,
    produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).

thf(func_def_1141,type,
    produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).

thf(func_def_1142,type,
    produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_1143,type,
    produc8282080750456430313atural: ( code_natural > code_natural > produc6756470014200349799atural ) > produc7822875418678951345atural > produc6756470014200349799atural ).

thf(func_def_1144,type,
    produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(func_def_1145,type,
    produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_1146,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_1147,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_1148,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_1149,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_1150,type,
    produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).

thf(func_def_1151,type,
    produc2761476792215241774st_nat: ( nat > nat > list_nat ) > product_prod_nat_nat > list_nat ).

thf(func_def_1152,type,
    produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_1153,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_1154,type,
    produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).

thf(func_def_1155,type,
    produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).

thf(func_def_1156,type,
    produc6665183775751917029atural: ( pred_Product_unit > produc7822875418678951345atural > produc4675096598859438275atural ) > produc4675096598859438275atural > produc4675096598859438275atural ).

thf(func_def_1157,type,
    produc6247414631856714078_nat_o: ( set_nat > set_nat > $o ) > produc7819656566062154093et_nat > $o ).

thf(func_def_1158,type,
    produc1547782455048856492_int_o: ( set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ) > produc412284730452459111nt_int > $o ).

thf(func_def_1159,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(func_def_1160,type,
    produc6591912806276919810atural: produc5835291356934675326atural > produc7822875418678951345atural ).

thf(func_def_1161,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(func_def_1162,type,
    produc5538323210962509403atural: ( produc7822875418678951345atural > produc5835291356934675326atural ) > ( code_natural > produc7822875418678951345atural > produc5835291356934675326atural ) > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_1163,type,
    product_Abs_unit: $o > product_unit ).

thf(func_def_1164,type,
    product_Rep_unit: product_unit > $o ).

thf(func_def_1165,type,
    inc_shift: code_natural > code_natural > code_natural ).

thf(func_def_1166,type,
    iterat8892046348760725948atural: code_natural > ( code_natural > produc7822875418678951345atural > produc5835291356934675326atural ) > code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_1167,type,
    log: code_natural > code_natural > code_natural ).

thf(func_def_1168,type,
    log_rel: produc7822875418678951345atural > produc7822875418678951345atural > $o ).

thf(func_def_1169,type,
    minus_shift: code_natural > code_natural > code_natural > code_natural ).

thf(func_def_1170,type,
    next: produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_1171,type,
    range: code_natural > produc7822875418678951345atural > produc5835291356934675326atural ).

thf(func_def_1172,type,
    split_seed: produc7822875418678951345atural > produc6756470014200349799atural ).

thf(func_def_1173,type,
    random6974930770145893639ompred: ( produc7822875418678951345atural > produc4675096598859438275atural ) > produc7822875418678951345atural > produc4675096598859438275atural ).

thf(func_def_1174,type,
    abs_Rat: product_prod_int_int > rat ).

thf(func_def_1175,type,
    fract: int > int > rat ).

thf(func_def_1176,type,
    frct: product_prod_int_int > rat ).

thf(func_def_1177,type,
    rep_Rat: rat > product_prod_int_int ).

thf(func_def_1178,type,
    cr_rat: product_prod_int_int > rat > $o ).

thf(func_def_1179,type,
    field_6020823756834552118ts_rat: set_rat ).

thf(func_def_1180,type,
    normalize: product_prod_int_int > product_prod_int_int ).

thf(func_def_1181,type,
    of_int: int > rat ).

thf(func_def_1182,type,
    pcr_rat: product_prod_int_int > rat > $o ).

thf(func_def_1183,type,
    positive: rat > $o ).

thf(func_def_1184,type,
    quotient_of: rat > product_prod_int_int ).

thf(func_def_1185,type,
    abs_rat: set_Pr958786334691620121nt_int > rat ).

thf(func_def_1186,type,
    rep_rat: rat > set_Pr958786334691620121nt_int ).

thf(func_def_1187,type,
    ratrel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_1188,type,
    domainp_int_int: ( int > int > $o ) > int > $o ).

thf(func_def_1189,type,
    domain7888411570377768909iteral: ( list_char > literal > $o ) > list_char > $o ).

thf(func_def_1190,type,
    domain9213661015745956397nt_rat: ( product_prod_int_int > rat > $o ) > product_prod_int_int > $o ).

thf(func_def_1191,type,
    domainp_char_char: ( char > char > $o ) > char > $o ).

thf(func_def_1192,type,
    field_o: set_Product_prod_o_o > set_o ).

thf(func_def_1193,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_1194,type,
    id_mul2649389997224486051at_nat: set_Pr8551490117392284871at_nat ).

thf(func_def_1195,type,
    id_Pro2258643101195443293at_nat: set_Pr8693737435421807431at_nat ).

thf(func_def_1196,type,
    id_on_7438695062414216554_nat_o: set_Pr4532377907799695533_nat_o > set_Pr2161125870931222855_nat_o ).

thf(func_def_1197,type,
    id_on_o: set_o > set_Product_prod_o_o ).

thf(func_def_1198,type,
    id_on_int: set_int > set_Pr958786334691620121nt_int ).

thf(func_def_1199,type,
    id_on_nat: set_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1200,type,
    id_on_2554058798563519774at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat ).

thf(func_def_1201,type,
    id_on_set_nat: set_set_nat > set_Pr5488025237498180813et_nat ).

thf(func_def_1202,type,
    id_on_6410342593070439734nt_int: set_se6260736226359567993nt_int > set_Pr8057934254988874055nt_int ).

thf(func_def_1203,type,
    total_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1204,type,
    algebr932160517623751201me_int: int > int > $o ).

thf(func_def_1205,type,
    algebr934650988132801477me_nat: nat > nat > $o ).

thf(func_def_1206,type,
    divide6298287555418463151nteger: code_integer > code_integer > code_integer ).

thf(func_def_1207,type,
    divide5121882707175180666atural: code_natural > code_natural > code_natural ).

thf(func_def_1208,type,
    divide_divide_int: int > int > int ).

thf(func_def_1209,type,
    divide_divide_nat: nat > nat > nat ).

thf(func_def_1210,type,
    divide_divide_rat: rat > rat > rat ).

thf(func_def_1211,type,
    dvd_dvd_assn: assn > assn > $o ).

thf(func_def_1212,type,
    dvd_dvd_Code_integer: code_integer > code_integer > $o ).

thf(func_def_1213,type,
    dvd_dvd_Code_natural: code_natural > code_natural > $o ).

thf(func_def_1214,type,
    dvd_dvd_int: int > int > $o ).

thf(func_def_1215,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(func_def_1216,type,
    dvd_dvd_rat: rat > rat > $o ).

thf(func_def_1217,type,
    modulo364778990260209775nteger: code_integer > code_integer > code_integer ).

thf(func_def_1218,type,
    modulo8411746178871703098atural: code_natural > code_natural > code_natural ).

thf(func_def_1219,type,
    modulo_modulo_int: int > int > int ).

thf(func_def_1220,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(func_def_1221,type,
    unit_f2748546683901255202or_nat: nat > nat ).

thf(func_def_1222,type,
    zero_n356916108424825756nteger: $o > code_integer ).

thf(func_def_1223,type,
    zero_n8403883297036319079atural: $o > code_natural ).

thf(func_def_1224,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(func_def_1225,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(func_def_1226,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

thf(func_def_1227,type,
    collec939566748876313656_nat_o: ( ( produc3658429121746597890et_nat > $o ) > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_1228,type,
    collect_o: ( $o > $o ) > set_o ).

thf(func_def_1229,type,
    collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).

thf(func_def_1230,type,
    collect_filter_nat: ( filter_nat > $o ) > set_filter_nat ).

thf(func_def_1231,type,
    collect_int: ( int > $o ) > set_int ).

thf(func_def_1232,type,
    collect_list_nat: ( list_nat > $o ) > set_list_nat ).

thf(func_def_1233,type,
    collect_list_char: ( list_char > $o ) > set_list_char ).

thf(func_def_1234,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_1235,type,
    collec7086185654880424402_nat_o: ( produc4928098042776334183_nat_o > $o ) > set_Pr2161125870931222855_nat_o ).

thf(func_def_1236,type,
    collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_1237,type,
    collec5204685387357076818at_nat: ( produc4166570645942440679at_nat > $o ) > set_Pr8551490117392284871at_nat ).

thf(func_def_1238,type,
    collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_1239,type,
    collec6662362479098859352et_nat: ( produc7819656566062154093et_nat > $o ) > set_Pr5488025237498180813et_nat ).

thf(func_def_1240,type,
    collec2889756465124990930nt_int: ( produc412284730452459111nt_int > $o ) > set_Pr8057934254988874055nt_int ).

thf(func_def_1241,type,
    collec6321179662152712658at_nat: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_1242,type,
    collect_rat: ( rat > $o ) > set_rat ).

thf(func_def_1243,type,
    collect_set_o: ( set_o > $o ) > set_set_o ).

thf(func_def_1244,type,
    collect_set_int: ( set_int > $o ) > set_set_int ).

thf(func_def_1245,type,
    collect_set_list_nat: ( set_list_nat > $o ) > set_set_list_nat ).

thf(func_def_1246,type,
    collect_set_nat: ( set_nat > $o ) > set_set_nat ).

thf(func_def_1247,type,
    collec5210948495886036740nt_int: ( set_Pr958786334691620121nt_int > $o ) > set_se6260736226359567993nt_int ).

thf(func_def_1248,type,
    collec5514110066124741708at_nat: ( set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat ).

thf(func_def_1249,type,
    collect_set_set_nat: ( set_set_nat > $o ) > set_set_set_nat ).

thf(func_def_1250,type,
    collect_literal: ( literal > $o ) > set_literal ).

thf(func_def_1251,type,
    pow_nat: set_nat > set_set_nat ).

thf(func_def_1252,type,
    image_4470545334726330049nteger: ( code_integer > code_integer ) > set_Code_integer > set_Code_integer ).

thf(func_def_1253,type,
    image_int_int: ( int > int ) > set_int > set_int ).

thf(func_def_1254,type,
    image_int_nat: ( int > nat ) > set_int > set_nat ).

thf(func_def_1255,type,
    image_list_nat_nat: ( list_nat > nat ) > set_list_nat > set_nat ).

thf(func_def_1256,type,
    image_nat_int: ( nat > int ) > set_nat > set_int ).

thf(func_def_1257,type,
    image_nat_list_nat: ( nat > list_nat ) > set_nat > set_list_nat ).

thf(func_def_1258,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_1259,type,
    image_5846123807819985514at_nat: ( nat > product_prod_nat_nat ) > set_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1260,type,
    image_nat_rat: ( nat > rat ) > set_nat > set_rat ).

thf(func_def_1261,type,
    image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).

thf(func_def_1262,type,
    image_nat_char: ( nat > char ) > set_nat > set_char ).

thf(func_def_1263,type,
    image_678696785212003926at_nat: ( nat > sum_sum_nat_nat ) > set_nat > set_Sum_sum_nat_nat ).

thf(func_def_1264,type,
    image_2486076414777270412at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_1265,type,
    image_char_nat: ( char > nat ) > set_char > set_nat ).

thf(func_def_1266,type,
    image_1320371278474632150at_nat: ( sum_sum_nat_nat > nat ) > set_Sum_sum_nat_nat > set_nat ).

thf(func_def_1267,type,
    insert5175938949040314269_nat_o: ( produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o ).

thf(func_def_1268,type,
    insert_o: $o > set_o > set_o ).

thf(func_def_1269,type,
    insert_Code_integer: code_integer > set_Code_integer > set_Code_integer ).

thf(func_def_1270,type,
    insert_int: int > set_int > set_int ).

thf(func_def_1271,type,
    insert_list_nat: list_nat > set_list_nat > set_list_nat ).

thf(func_def_1272,type,
    insert_nat: nat > set_nat > set_nat ).

thf(func_def_1273,type,
    insert6337962749363155127at_nat: produc4166570645942440679at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ).

thf(func_def_1274,type,
    insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1275,type,
    insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1276,type,
    insert_Product_unit: product_unit > set_Product_unit > set_Product_unit ).

thf(func_def_1277,type,
    insert_rat: rat > set_rat > set_rat ).

thf(func_def_1278,type,
    insert_set_nat: set_nat > set_set_nat > set_set_nat ).

thf(func_def_1279,type,
    insert8897473484851387113nt_int: set_Pr958786334691620121nt_int > set_se6260736226359567993nt_int > set_se6260736226359567993nt_int ).

thf(func_def_1280,type,
    insert_literal: literal > set_literal > set_literal ).

thf(func_def_1281,type,
    is_empty_o: set_o > $o ).

thf(func_def_1282,type,
    is_empty_int: set_int > $o ).

thf(func_def_1283,type,
    is_empty_nat: set_nat > $o ).

thf(func_def_1284,type,
    is_emp1662574758705540307at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1285,type,
    is_sin5180296473474724033_nat_o: set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_1286,type,
    is_singleton_o: set_o > $o ).

thf(func_def_1287,type,
    is_singleton_int: set_int > $o ).

thf(func_def_1288,type,
    is_singleton_nat: set_nat > $o ).

thf(func_def_1289,type,
    is_sin2850979758926227957at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1290,type,
    is_sin2937591304547752795at_nat: set_Pr4329608150637261639at_nat > $o ).

thf(func_def_1291,type,
    is_singleton_set_nat: set_set_nat > $o ).

thf(func_def_1292,type,
    is_sin6299389887212142093nt_int: set_se6260736226359567993nt_int > $o ).

thf(func_def_1293,type,
    the_elem_o: set_o > $o ).

thf(func_def_1294,type,
    the_elem_int: set_int > int ).

thf(func_def_1295,type,
    the_elem_nat: set_nat > nat ).

thf(func_def_1296,type,
    the_el2281957884133575798at_nat: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1297,type,
    the_el221668144340439132at_nat: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_1298,type,
    vimage_o_o: ( $o > $o ) > set_o > set_o ).

thf(func_def_1299,type,
    vimage_o_int: ( $o > int ) > set_int > set_o ).

thf(func_def_1300,type,
    vimage_o_nat: ( $o > nat ) > set_nat > set_o ).

thf(func_def_1301,type,
    vimage2606541041029201316at_nat: ( $o > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_o ).

thf(func_def_1302,type,
    vimage_o_rat: ( $o > rat ) > set_rat > set_o ).

thf(func_def_1303,type,
    vimage_int_o: ( int > $o ) > set_o > set_int ).

thf(func_def_1304,type,
    vimage_int_int: ( int > int ) > set_int > set_int ).

thf(func_def_1305,type,
    vimage_int_nat: ( int > nat ) > set_nat > set_int ).

thf(func_def_1306,type,
    vimage1827798767263827160at_nat: ( int > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_int ).

thf(func_def_1307,type,
    vimage_int_rat: ( int > rat ) > set_rat > set_int ).

thf(func_def_1308,type,
    vimage_int_set_nat: ( int > set_nat ) > set_set_nat > set_int ).

thf(func_def_1309,type,
    vimage_list_nat_int: ( list_nat > int ) > set_int > set_list_nat ).

thf(func_def_1310,type,
    vimage_list_nat_nat: ( list_nat > nat ) > set_nat > set_list_nat ).

thf(func_def_1311,type,
    vimage_nat_o: ( nat > $o ) > set_o > set_nat ).

thf(func_def_1312,type,
    vimage_nat_int: ( nat > int ) > set_int > set_nat ).

thf(func_def_1313,type,
    vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_1314,type,
    vimage7262694317370708122at_nat: ( nat > produc4166570645942440679at_nat ) > set_Pr8551490117392284871at_nat > set_nat ).

thf(func_def_1315,type,
    vimage8013328719654469172at_nat: ( nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_1316,type,
    vimage6435164912253009178at_nat: ( nat > produc3843707927480180839at_nat ) > set_Pr4329608150637261639at_nat > set_nat ).

thf(func_def_1317,type,
    vimage_nat_rat: ( nat > rat ) > set_rat > set_nat ).

thf(func_def_1318,type,
    vimage_nat_set_nat: ( nat > set_nat ) > set_set_nat > set_nat ).

thf(func_def_1319,type,
    vimage2935056327143036492nt_int: ( nat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > set_nat ).

thf(func_def_1320,type,
    vimage2280073292226551852_nat_o: ( produc4166570645942440679at_nat > $o ) > set_o > set_Pr8551490117392284871at_nat ).

thf(func_def_1321,type,
    vimage7949981338974167704at_int: ( produc4166570645942440679at_nat > int ) > set_int > set_Pr8551490117392284871at_nat ).

thf(func_def_1322,type,
    vimage7952471809483217980at_nat: ( produc4166570645942440679at_nat > nat ) > set_nat > set_Pr8551490117392284871at_nat ).

thf(func_def_1323,type,
    vimage3529983231074640251at_nat: ( produc4166570645942440679at_nat > produc4166570645942440679at_nat ) > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ).

thf(func_def_1324,type,
    vimage5412736291816116987at_nat: ( produc4166570645942440679at_nat > produc3843707927480180839at_nat ) > set_Pr4329608150637261639at_nat > set_Pr8551490117392284871at_nat ).

thf(func_def_1325,type,
    vimage4653281326611754070at_nat: ( product_prod_nat_nat > nat ) > set_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1326,type,
    vimage2449269961533847803at_nat: ( product_prod_nat_nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1327,type,
    vimage3307185822755684012_nat_o: ( produc3843707927480180839at_nat > $o ) > set_o > set_Pr4329608150637261639at_nat ).

thf(func_def_1328,type,
    vimage7134676753939176892at_nat: ( produc3843707927480180839at_nat > nat ) > set_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1329,type,
    vimage2716263466903273467at_nat: ( produc3843707927480180839at_nat > produc4166570645942440679at_nat ) > set_Pr8551490117392284871at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1330,type,
    vimage6896080417876799867at_nat: ( produc3843707927480180839at_nat > produc3843707927480180839at_nat ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1331,type,
    vimage_rat_o: ( rat > $o ) > set_o > set_rat ).

thf(func_def_1332,type,
    vimage_rat_int: ( rat > int ) > set_int > set_rat ).

thf(func_def_1333,type,
    vimage_rat_nat: ( rat > nat ) > set_nat > set_rat ).

thf(func_def_1334,type,
    vimage_rat_rat: ( rat > rat ) > set_rat > set_rat ).

thf(func_def_1335,type,
    vimage_set_nat_o: ( set_nat > $o ) > set_o > set_set_nat ).

thf(func_def_1336,type,
    vimage_set_nat_int: ( set_nat > int ) > set_int > set_set_nat ).

thf(func_def_1337,type,
    vimage_set_nat_nat: ( set_nat > nat ) > set_nat > set_set_nat ).

thf(func_def_1338,type,
    vimage4765135879290611145et_nat: ( set_nat > set_nat ) > set_set_nat > set_set_nat ).

thf(func_def_1339,type,
    vimage928727498438615150nt_nat: ( set_Pr958786334691620121nt_int > nat ) > set_nat > set_se6260736226359567993nt_int ).

thf(func_def_1340,type,
    set_fo1959793692361082170t_assn: ( nat > assn > assn ) > nat > nat > assn > assn ).

thf(func_def_1341,type,
    set_fo1084959871951514735nteger: ( nat > code_integer > code_integer ) > nat > nat > code_integer > code_integer ).

thf(func_def_1342,type,
    set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).

thf(func_def_1343,type,
    set_fo4497565046347964853at_nat: ( nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ) > nat > nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_1344,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(func_def_1345,type,
    set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).

thf(func_def_1346,type,
    set_fo3699595496184130361el_nat: produc4471711990508489141at_nat > produc4471711990508489141at_nat > $o ).

thf(func_def_1347,type,
    set_or8904488021354931149Most_o: $o > $o > set_o ).

thf(func_def_1348,type,
    set_or189985376899183464nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_1349,type,
    set_or1955772592623580779er_nat: filter_nat > filter_nat > set_filter_nat ).

thf(func_def_1350,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(func_def_1351,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(func_def_1352,type,
    set_or633870826150836451st_rat: rat > rat > set_rat ).

thf(func_def_1353,type,
    set_or266616469461849773_set_o: set_o > set_o > set_set_o ).

thf(func_def_1354,type,
    set_or370866239135849197et_int: set_int > set_int > set_set_int ).

thf(func_def_1355,type,
    set_or1270514513317581473st_nat: set_list_nat > set_list_nat > set_set_list_nat ).

thf(func_def_1356,type,
    set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_1357,type,
    set_or2784603332384507286at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).

thf(func_def_1358,type,
    set_or1040488700251649177et_rat: set_rat > set_rat > set_set_rat ).

thf(func_def_1359,type,
    set_or8436436507035938825iteral: literal > literal > set_literal ).

thf(func_def_1360,type,
    set_or7139685690850216873Than_o: $o > $o > set_o ).

thf(func_def_1361,type,
    set_or8404916559141939852nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_1362,type,
    set_or1773934645810362255er_nat: filter_nat > filter_nat > set_filter_nat ).

thf(func_def_1363,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(func_def_1364,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(func_def_1365,type,
    set_or4029947393144176647an_rat: rat > rat > set_rat ).

thf(func_def_1366,type,
    set_or3540276404033026485et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_1367,type,
    set_or4828121863581493221iteral: literal > literal > set_literal ).

thf(func_def_1368,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(func_def_1369,type,
    set_or1537382583742010260_nat_o: ( produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_1370,type,
    set_ord_atMost_o: $o > set_o ).

thf(func_def_1371,type,
    set_or9101266186257409494nteger: code_integer > set_Code_integer ).

thf(func_def_1372,type,
    set_or9144418160755794905er_nat: filter_nat > set_filter_nat ).

thf(func_def_1373,type,
    set_ord_atMost_int: int > set_int ).

thf(func_def_1374,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(func_def_1375,type,
    set_ord_atMost_rat: rat > set_rat ).

thf(func_def_1376,type,
    set_ord_atMost_set_o: set_o > set_set_o ).

thf(func_def_1377,type,
    set_or58775011639299419et_int: set_int > set_set_int ).

thf(func_def_1378,type,
    set_or2492388921469580815st_nat: set_list_nat > set_set_list_nat ).

thf(func_def_1379,type,
    set_or4236626031148496127et_nat: set_nat > set_set_nat ).

thf(func_def_1380,type,
    set_or2459421552957432928nt_int: set_Pr958786334691620121nt_int > set_se6260736226359567993nt_int ).

thf(func_def_1381,type,
    set_or728397472755099399et_rat: set_rat > set_set_rat ).

thf(func_def_1382,type,
    set_or2715278749043346189nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_1383,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(func_def_1384,type,
    set_or4266950643985792945nteger: code_integer > code_integer > set_Code_integer ).

thf(func_def_1385,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(func_def_1386,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(func_def_1387,type,
    set_or7240481858991947888_nat_o: ( produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_1388,type,
    set_ord_lessThan_o: $o > set_o ).

thf(func_def_1389,type,
    set_or5754767410780653050nteger: code_integer > set_Code_integer ).

thf(func_def_1390,type,
    set_ord_lessThan_int: int > set_int ).

thf(func_def_1391,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(func_def_1392,type,
    set_ord_lessThan_rat: rat > set_rat ).

thf(func_def_1393,type,
    set_or890127255671739683et_nat: set_nat > set_set_nat ).

thf(func_def_1394,type,
    set_or4940836740269066044nt_int: set_Pr958786334691620121nt_int > set_se6260736226359567993nt_int ).

thf(func_def_1395,type,
    set_or2436086697161274615iteral: literal > set_literal ).

thf(func_def_1396,type,
    literal2: $o > $o > $o > $o > $o > $o > $o > literal > literal ).

thf(func_def_1397,type,
    ascii_of: char > char ).

thf(func_def_1398,type,
    asciis_of_literal: literal > list_Code_integer ).

thf(func_def_1399,type,
    char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).

thf(func_def_1400,type,
    digit7: char > $o ).

thf(func_def_1401,type,
    char_of_integer: code_integer > char ).

thf(func_def_1402,type,
    comm_s4049598766089966537nteger: char > code_integer ).

thf(func_def_1403,type,
    comm_s629917340098488124ar_nat: char > nat ).

thf(func_def_1404,type,
    cr_literal: list_char > literal > $o ).

thf(func_def_1405,type,
    abs_literal: list_char > literal ).

thf(func_def_1406,type,
    explode: literal > list_char ).

thf(func_def_1407,type,
    pcr_literal: list_char > literal > $o ).

thf(func_def_1408,type,
    unique1708501630192214702nteger: code_integer > char ).

thf(func_def_1409,type,
    unique3096191561947761185of_nat: nat > char ).

thf(func_def_1410,type,
    sum_Inl_nat_nat: nat > sum_sum_nat_nat ).

thf(func_def_1411,type,
    sum_Inr_nat_nat: nat > sum_sum_nat_nat ).

thf(func_def_1412,type,
    sum_ca7763040182479039464nt_nat: ( nat > int ) > ( nat > int ) > sum_sum_nat_nat > int ).

thf(func_def_1413,type,
    sum_ca6763686470577984908at_nat: ( nat > nat ) > ( nat > nat ) > sum_sum_nat_nat > nat ).

thf(func_def_1414,type,
    syntax7398250324933576852n_assn: assn > assn > $o ).

thf(func_def_1415,type,
    syntax380677951125133566nteger: code_integer > code_integer > $o ).

thf(func_def_1416,type,
    syntax5678989248478167196nt_int: int > int > $o ).

thf(func_def_1417,type,
    syntax4682126007086162916at_nat: nat > nat > $o ).

thf(func_def_1418,type,
    syntax3730441303064801268at_rat: rat > rat > $o ).

thf(func_def_1419,type,
    left_t8440299596084406506t_char: ( list_char > list_char > $o ) > $o ).

thf(func_def_1420,type,
    left_t3131394472396969446nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > $o ).

thf(func_def_1421,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1422,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1423,type,
    transi2163837189807498211lp_nat: ( nat > nat > $o ) > nat > nat > $o ).

thf(func_def_1424,type,
    type_definition_o_o: ( $o > $o ) > ( $o > $o ) > set_o > $o ).

thf(func_def_1425,type,
    type_d3909072315231072503_nat_o: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_1426,type,
    type_d8366093980585677751er_int: ( code_integer > int ) > ( int > code_integer ) > set_int > $o ).

thf(func_def_1427,type,
    type_d4410041424927559462al_nat: ( code_natural > nat ) > ( nat > code_natural ) > set_nat > $o ).

thf(func_def_1428,type,
    type_d7247357190169752966nt_int: ( int > int ) > ( int > int ) > set_int > $o ).

thf(func_def_1429,type,
    type_d8752208705193531015at_nat: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > set_se7855581050983116737at_nat > $o ).

thf(func_def_1430,type,
    type_d5972188401318659438st_nat: ( list_nat > list_nat ) > ( list_nat > list_nat ) > set_list_nat > $o ).

thf(func_def_1431,type,
    type_d6250493948777748686at_nat: ( nat > nat ) > ( nat > nat ) > set_nat > $o ).

thf(func_def_1432,type,
    type_d6188575255521822967unit_o: ( product_unit > $o ) > ( $o > product_unit ) > set_o > $o ).

thf(func_def_1433,type,
    type_d5298809244756387038at_rat: ( rat > rat ) > ( rat > rat ) > set_rat > $o ).

thf(func_def_1434,type,
    type_d8554052265237484179nt_int: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > set_se6260736226359567993nt_int > $o ).

thf(func_def_1435,type,
    type_d4752411451802217481t_char: ( literal > list_char ) > ( list_char > literal ) > set_list_char > $o ).

thf(func_def_1436,type,
    accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).

thf(func_def_1437,type,
    accp_nat: ( nat > nat > $o ) > nat > $o ).

thf(func_def_1438,type,
    accp_P8928870874622223812nt_int: ( produc7773217078559923341nt_int > produc7773217078559923341nt_int > $o ) > produc7773217078559923341nt_int > $o ).

thf(func_def_1439,type,
    accp_P6019419558468335806at_nat: ( produc4471711990508489141at_nat > produc4471711990508489141at_nat > $o ) > produc4471711990508489141at_nat > $o ).

thf(func_def_1440,type,
    accp_P1862375125659990705et_nat: ( produc2732055786443039994et_nat > produc2732055786443039994et_nat > $o ) > produc2732055786443039994et_nat > $o ).

thf(func_def_1441,type,
    accp_P8126237942716283194atural: ( produc7822875418678951345atural > produc7822875418678951345atural > $o ) > produc7822875418678951345atural > $o ).

thf(func_def_1442,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_1443,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_1444,type,
    accp_P3113834385874906142um_num: ( product_prod_num_num > product_prod_num_num > $o ) > product_prod_num_num > $o ).

thf(func_def_1445,type,
    less_than: set_Pr1261947904930325089at_nat ).

thf(func_def_1446,type,
    max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1447,type,
    min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1448,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_1449,type,
    wf_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1450,type,
    member6576561426505652726_nat_o: ( produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > $o ).

thf(func_def_1451,type,
    member_o: $o > set_o > $o ).

thf(func_def_1452,type,
    member_filter_nat: filter_nat > set_filter_nat > $o ).

thf(func_def_1453,type,
    member_int: int > set_int > $o ).

thf(func_def_1454,type,
    member_list_nat: list_nat > set_list_nat > $o ).

thf(func_def_1455,type,
    member_list_char: list_char > set_list_char > $o ).

thf(func_def_1456,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_1457,type,
    member7034335876925520548nt_int: produc7773217078559923341nt_int > set_Pr1872883991513573699nt_int > $o ).

thf(func_def_1458,type,
    member4164122664394876845nteger: produc1908205239877642774nteger > set_Pr1281608226676607948nteger > $o ).

thf(func_def_1459,type,
    member8781333585448626064_nat_o: produc4928098042776334183_nat_o > set_Pr2161125870931222855_nat_o > $o ).

thf(func_def_1460,type,
    member6124377750444531601et_nat: produc2732055786443039994et_nat > set_Pr8536935166611901872et_nat > $o ).

thf(func_def_1461,type,
    member1996754912294343701et_nat: produc3925858234332021118et_nat > set_Pr3286484037609594932et_nat > $o ).

thf(func_def_1462,type,
    member7618704894036264090nt_int: produc2285326912895808259nt_int > set_Pr9222295170931077689nt_int > $o ).

thf(func_def_1463,type,
    member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_1464,type,
    member6689249552917799696at_nat: produc4166570645942440679at_nat > set_Pr8551490117392284871at_nat > $o ).

thf(func_def_1465,type,
    member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1466,type,
    member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).

thf(func_def_1467,type,
    member8277197624267554838et_nat: produc7819656566062154093et_nat > set_Pr5488025237498180813et_nat > $o ).

thf(func_def_1468,type,
    member444158400953824016od_o_o: produc2934264451710624999od_o_o > set_Pr1932065953672099015od_o_o > $o ).

thf(func_def_1469,type,
    member4095101504841534314at_nat: produc732395585841259969at_nat > set_Pr457366540195662369at_nat > $o ).

thf(func_def_1470,type,
    member5325734588016868240nt_int: produc412284730452459111nt_int > set_Pr8057934254988874055nt_int > $o ).

thf(func_def_1471,type,
    member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_1472,type,
    member_rat: rat > set_rat > $o ).

thf(func_def_1473,type,
    member_set_nat: set_nat > set_set_nat > $o ).

thf(func_def_1474,type,
    member2340774599025711042nt_int: set_Pr958786334691620121nt_int > set_se6260736226359567993nt_int > $o ).

thf(func_def_1475,type,
    member2643936169264416010at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > $o ).

thf(func_def_1476,type,
    member_char: char > set_char > $o ).

thf(func_def_1477,type,
    member_literal: literal > set_literal > $o ).

thf(func_def_1478,type,
    x: assn ).

thf(func_def_1479,type,
    y: assn ).

thf(func_def_1481,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_1482,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_1483,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_1486,type,
    vAND: $o > $o > $o ).

thf(func_def_1487,type,
    vIMP: $o > $o > $o ).

thf(func_def_1488,type,
    vNOT: $o > $o ).

thf(func_def_1489,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_1490,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_1491,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_1492,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_1493,type,
    vOR: $o > $o > $o ).

thf(func_def_1494,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_1495,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_1496,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_1497,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_1498,type,
    db13: 
      !>[X0: $tType] : X0 ).

thf(func_def_1499,type,
    db11: 
      !>[X0: $tType] : X0 ).

thf(func_def_1500,type,
    db9: 
      !>[X0: $tType] : X0 ).

thf(func_def_1501,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_1502,type,
    sP0: option_num > num > num > $o ).

thf(func_def_1503,type,
    sP1: num > option_num > num > $o ).

thf(func_def_1504,type,
    sP2: option_num > num > num > $o ).

thf(func_def_1505,type,
    sP3: option_num > num > num > $o ).

thf(func_def_1506,type,
    sP4: num > option_num > num > $o ).

thf(func_def_1507,type,
    sP5: option_num > num > num > $o ).

thf(func_def_1508,type,
    sP6: num > option_num > num > $o ).

thf(func_def_1509,type,
    sP7: num > num > option_num > $o ).

thf(func_def_1510,type,
    sP8: set_se6260736226359567993nt_int > ( set_se6260736226359567993nt_int > $o ) > $o ).

thf(func_def_1511,type,
    sP9: int > ( int > $o ) > $o ).

thf(func_def_1512,type,
    sP10: num > num > option_num > $o ).

thf(func_def_1513,type,
    sP11: option_num > num > num > $o ).

thf(func_def_1514,type,
    sP12: num > option_num > num > $o ).

thf(func_def_1515,type,
    sP13: num > option_num > num > $o ).

thf(func_def_1516,type,
    sP14: num > num > option_num > $o ).

thf(func_def_1517,type,
    sP15: num > option_num > num > $o ).

thf(func_def_1518,type,
    sP16: num > num > option_num > $o ).

thf(func_def_1519,type,
    sP17: num > num > option_num > $o ).

thf(func_def_1520,type,
    sP18: set_int > ( int > assn ) > ( int > int ) > ( int > assn ) > $o ).

thf(func_def_1521,type,
    sP19: set_int > ( int > assn ) > $o ).

thf(func_def_1522,type,
    sP20: set_int > set_int > ( int > int ) > ( int > int ) > $o ).

thf(func_def_1523,type,
    sP21: ( int > int ) > set_int > set_int > set_int > set_int > $o ).

thf(func_def_1524,type,
    sP22: set_int > set_int > ( nat > int ) > ( int > nat ) > $o ).

thf(func_def_1525,type,
    sP23: set_nat > set_nat > ( int > nat ) > ( nat > int ) > $o ).

thf(func_def_1526,type,
    sP24: set_nat > set_nat > ( nat > int ) > set_int > set_int > $o ).

thf(func_def_1527,type,
    sP25: set_nat > ( nat > code_integer ) > ( int > code_integer ) > ( nat > int ) > $o ).

thf(func_def_1528,type,
    sP26: nat > nat > nat > $o ).

thf(func_def_1529,type,
    sP27: nat > nat > nat > $o ).

thf(func_def_1530,type,
    sP28: nat > nat > nat > $o ).

thf(func_def_1531,type,
    sP29: rat > rat > rat > $o ).

thf(func_def_1532,type,
    sP30: rat > rat > rat > $o ).

thf(func_def_1533,type,
    sP31: rat > rat > rat > $o ).

thf(func_def_1534,type,
    sP32: set_int > ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_1535,type,
    sP33: ( int > $o ) > int > set_int > $o ).

thf(func_def_1536,type,
    sP34: product_prod_int_int > int > int > $o ).

thf(func_def_1537,type,
    sP35: ( int > $o ) > int > int > $o ).

thf(func_def_1538,type,
    sP36: ( int > $o ) > int > int > $o ).

thf(func_def_1539,type,
    sP37: ( int > $o ) > int > int > $o ).

thf(func_def_1540,type,
    sP38: set_set_nat > ( set_set_nat > $o ) > $o ).

thf(func_def_1541,type,
    sP39: int > int > int > $o ).

thf(func_def_1542,type,
    sP40: int > int > int > $o ).

thf(func_def_1543,type,
    sP41: int > int > int > $o ).

thf(func_def_1544,type,
    sP42: set_Pr4329608150637261639at_nat > ( set_Pr4329608150637261639at_nat > $o ) > $o ).

thf(func_def_1545,type,
    sP43: set_nat > ( nat > assn ) > $o ).

thf(func_def_1546,type,
    sP44: set_nat > ( int > assn ) > ( nat > int ) > ( nat > assn ) > $o ).

thf(func_def_1547,type,
    sP45: set_int > ( int > assn ) > $o ).

thf(func_def_1548,type,
    sP46: set_int > set_int > ( int > nat ) > set_nat > set_nat > $o ).

thf(func_def_1549,type,
    sP47: set_int > set_int > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1550,type,
    sP48: ( int > nat ) > ( int > nat ) > ( int > int ) > set_int > $o ).

thf(func_def_1551,type,
    sP49: ( int > int ) > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1552,type,
    sP50: set_int > ( int > nat ) > $o ).

thf(func_def_1553,type,
    sP51: ( int > $o ) > $o ).

thf(func_def_1554,type,
    sP52: num > num > option_num > $o ).

thf(func_def_1555,type,
    sP53: option_num > num > num > $o ).

thf(func_def_1556,type,
    sP54: option_num > num > num > $o ).

thf(func_def_1557,type,
    sP55: num > option_num > num > $o ).

thf(func_def_1558,type,
    sP56: num > num > option_num > $o ).

thf(func_def_1559,type,
    sP57: option_num > num > num > $o ).

thf(func_def_1560,type,
    sP58: num > option_num > num > $o ).

thf(func_def_1561,type,
    sP59: num > num > option_num > $o ).

thf(func_def_1562,type,
    sP60: set_nat > ( nat > code_integer ) > $o ).

thf(func_def_1563,type,
    sP61: set_nat > set_nat > ( nat > int ) > set_int > set_int > $o ).

thf(func_def_1564,type,
    sP62: set_int > set_int > ( int > nat ) > set_nat > set_nat > $o ).

thf(func_def_1565,type,
    sP63: set_int > set_int > ( nat > int ) > ( int > nat ) > $o ).

thf(func_def_1566,type,
    sP64: list_nat > nat > $o ).

thf(func_def_1567,type,
    sP65: num > num > option_num > $o ).

thf(func_def_1568,type,
    sP66: num > option_num > num > $o ).

thf(func_def_1569,type,
    sP67: num > num > option_num > $o ).

thf(func_def_1570,type,
    sP68: num > option_num > num > $o ).

thf(func_def_1571,type,
    sP69: num > num > option_num > $o ).

thf(func_def_1572,type,
    sP70: option_num > num > num > $o ).

thf(func_def_1573,type,
    sP71: num > option_num > num > $o ).

thf(func_def_1574,type,
    sP72: num > option_num > num > $o ).

thf(func_def_1575,type,
    sP73: num > num > num > $o ).

thf(func_def_1576,type,
    sP74: num > num > num > $o ).

thf(func_def_1577,type,
    sP75: num > num > num > $o ).

thf(func_def_1578,type,
    sP76: num > num > num > $o ).

thf(func_def_1579,type,
    sP77: num > num > num > $o ).

thf(func_def_1580,type,
    sP78: num > num > num > $o ).

thf(func_def_1581,type,
    sP79: num > num > num > $o ).

thf(func_def_1582,type,
    sP80: num > num > num > $o ).

thf(func_def_1583,type,
    sP81: ( int > nat ) > ( nat > int ) > set_nat > set_nat > $o ).

thf(func_def_1584,type,
    sP82: set_nat > ( nat > assn ) > $o ).

thf(func_def_1585,type,
    sP83: ( nat > int ) > set_int > set_int > set_nat > set_nat > $o ).

thf(func_def_1586,type,
    sP84: ( int > assn ) > ( nat > assn ) > ( int > nat ) > set_int > $o ).

thf(func_def_1587,type,
    sP85: set_Pr1261947904930325089at_nat > ( set_Pr1261947904930325089at_nat > $o ) > $o ).

thf(func_def_1588,type,
    sP86: set_Pr4532377907799695533_nat_o > ( set_Pr4532377907799695533_nat_o > $o ) > $o ).

thf(func_def_1589,type,
    sP87: set_int > ( set_int > $o ) > $o ).

thf(func_def_1590,type,
    sP88: list_nat > nat > $o ).

thf(func_def_1591,type,
    sP89: ( int > $o ) > int > int > $o ).

thf(func_def_1592,type,
    sP90: ( int > $o ) > int > int > $o ).

thf(func_def_1593,type,
    sP91: ( int > $o ) > int > int > $o ).

thf(func_def_1594,type,
    sP92: ( set_o > $o ) > set_o > $o ).

thf(func_def_1595,type,
    sP93: set_int > ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_1596,type,
    sP94: set_int > int > ( int > $o ) > $o ).

thf(func_def_1597,type,
    sP95: num > num > num > $o ).

thf(func_def_1598,type,
    sP96: num > num > num > $o ).

thf(func_def_1599,type,
    sP97: num > num > num > $o ).

thf(func_def_1600,type,
    sP98: num > num > num > $o ).

thf(func_def_1601,type,
    sP99: num > num > num > $o ).

thf(func_def_1602,type,
    sP100: num > num > num > $o ).

thf(func_def_1603,type,
    sP101: num > num > num > $o ).

thf(func_def_1604,type,
    sP102: num > num > num > $o ).

thf(func_def_1605,type,
    sP103: num > num > option_num > $o ).

thf(func_def_1606,type,
    sP104: option_num > num > num > $o ).

thf(func_def_1607,type,
    sP105: num > num > option_num > $o ).

thf(func_def_1608,type,
    sP106: option_num > num > num > $o ).

thf(func_def_1609,type,
    sP107: num > option_num > num > $o ).

thf(func_def_1610,type,
    sP108: num > option_num > num > $o ).

thf(func_def_1611,type,
    sP109: num > option_num > num > $o ).

thf(func_def_1612,type,
    sP110: option_num > num > num > $o ).

thf(func_def_1613,type,
    sP111: ( nat > int ) > set_int > set_int > set_nat > set_nat > $o ).

thf(func_def_1614,type,
    sP112: ( int > nat ) > set_nat > set_nat > set_int > set_int > $o ).

thf(func_def_1615,type,
    sP113: set_int > ( nat > rat ) > ( int > nat ) > ( int > rat ) > $o ).

thf(func_def_1616,type,
    sP114: set_int > ( int > rat ) > $o ).

thf(func_def_1617,type,
    sP115: ( int > nat ) > set_nat > set_nat > set_int > set_int > $o ).

thf(func_def_1618,type,
    sP116: set_nat > ( nat > rat ) > $o ).

thf(func_def_1619,type,
    sP117: ( nat > rat ) > ( int > rat ) > ( nat > int ) > set_nat > $o ).

thf(func_def_1620,type,
    sP118: ( int > nat ) > ( nat > int ) > set_nat > set_nat > $o ).

thf(func_def_1621,type,
    sP119: ( nat > int ) > nat > nat > $o ).

thf(func_def_1622,type,
    sP120: set_int > ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_1623,type,
    sP121: set_int > ( int > $o ) > int > $o ).

thf(func_def_1624,type,
    sP122: ( nat > $o ) > $o ).

thf(func_def_1625,type,
    sP123: ( set_nat > $o ) > set_nat > $o ).

thf(func_def_1626,type,
    sP124: ( int > int ) > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1627,type,
    sP125: set_int > ( int > code_integer ) > $o ).

thf(func_def_1628,type,
    sP126: set_int > ( int > code_integer ) > ( int > int ) > ( int > code_integer ) > $o ).

thf(func_def_1629,type,
    sP127: set_int > set_int > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1630,type,
    sP128: set_int > ( int > $o ) > int > ( int > $o ) > $o ).

thf(func_def_1631,type,
    sP129: set_int > int > ( int > $o ) > $o ).

thf(func_def_1632,type,
    sP130: set_int > set_int > ( int > int ) > ( int > int ) > $o ).

thf(func_def_1633,type,
    sP131: ( int > rat ) > ( int > int ) > ( int > rat ) > set_int > $o ).

thf(func_def_1634,type,
    sP132: ( int > rat ) > set_int > $o ).

thf(func_def_1635,type,
    sP133: set_int > set_int > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1636,type,
    sK134: set_nat > ( nat > nat ) > set_nat > nat ).

thf(func_def_1637,type,
    sK135: set_nat > ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_1638,type,
    sK136: set_se6260736226359567993nt_int > ( set_Pr958786334691620121nt_int > nat ) > ( set_Pr958786334691620121nt_int > nat ) > set_Pr958786334691620121nt_int ).

thf(func_def_1639,type,
    sK137: produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_1640,type,
    sK138: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_1641,type,
    sK139: ( rat > literal ) > rat ).

thf(func_def_1642,type,
    sK140: ( rat > literal ) > rat ).

thf(func_def_1643,type,
    sK141: $o > set_o > ( $o > nat ) > $o ).

thf(func_def_1644,type,
    sK142: set_int > set_int > ( int > assn ) > int ).

thf(func_def_1645,type,
    sK143: ( int > assn ) > set_int > set_int > int ).

thf(func_def_1646,type,
    sK144: ( int > assn ) > set_int > set_int > ( int > assn ) > int ).

thf(func_def_1647,type,
    sK145: ( int > nat ) > int ).

thf(func_def_1648,type,
    sK146: ( int > nat ) > int ).

thf(func_def_1649,type,
    sK147: rat > int ).

thf(func_def_1650,type,
    sK148: ( product_prod_nat_nat > int > $o ) > set_Pr1261947904930325089at_nat > set_int > product_prod_nat_nat ).

thf(func_def_1651,type,
    sK149: ( product_prod_nat_nat > int > $o ) > set_Pr1261947904930325089at_nat > set_int > int ).

thf(func_def_1652,type,
    sK150: produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_1653,type,
    sK151: produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_1654,type,
    sK152: produc2732055786443039994et_nat > produc3658429121746597890et_nat ).

thf(func_def_1655,type,
    sK153: ( rat > nat ) > rat ).

thf(func_def_1656,type,
    sK154: ( rat > nat ) > rat ).

thf(func_def_1657,type,
    sK155: ( nat > rat ) > nat ).

thf(func_def_1658,type,
    sK156: ( nat > rat ) > nat ).

thf(func_def_1659,type,
    sK157: ( produc2732055786443039994et_nat > $o ) > set_nat ).

thf(func_def_1660,type,
    sK158: ( produc2732055786443039994et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_1661,type,
    sK159: ( produc2732055786443039994et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1662,type,
    sK160: ( produc2732055786443039994et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1663,type,
    sK161: nat > ( nat > nat > $o ) > nat > ( nat > nat > $o ) > nat ).

thf(func_def_1664,type,
    sK162: nat > ( nat > nat > $o ) > nat > ( nat > nat > $o ) > nat ).

thf(func_def_1665,type,
    sK163: produc2732055786443039994et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > produc3925858234332021118et_nat ).

thf(func_def_1666,type,
    sK164: produc2732055786443039994et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1667,type,
    sK165: ( set_o > $o ) > set_o > set_o ).

thf(func_def_1668,type,
    sK166: ( set_o > $o ) > set_o > $o ).

thf(func_def_1669,type,
    sK167: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_se6260736226359567993nt_int ) > set_Pr958786334691620121nt_int > produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_1670,type,
    sK168: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_se6260736226359567993nt_int ) > set_Pr958786334691620121nt_int > produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_1671,type,
    sK169: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( ( produc3658429121746597890et_nat > $o ) > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1672,type,
    sK170: ( set_nat > code_integer ) > set_set_nat > set_nat ).

thf(func_def_1673,type,
    sK171: $o > int > ( $o > int > $o ) > ( $o > int > $o ) > int ).

thf(func_def_1674,type,
    sK172: $o > int > ( $o > int > $o ) > ( $o > int > $o ) > $o ).

thf(func_def_1675,type,
    sK173: ( set_int > $o ) > set_int ).

thf(func_def_1676,type,
    sK174: ( set_int > $o ) > int ).

thf(func_def_1677,type,
    sK175: set_nat > ( nat > code_integer ) > nat ).

thf(func_def_1678,type,
    sK176: code_integer > code_integer ).

thf(func_def_1679,type,
    sK177: ( set_int > $o ) > set_int > set_int ).

thf(func_def_1680,type,
    sK178: ( set_int > $o ) > set_int > int ).

thf(func_def_1681,type,
    sK179: ( nat > rat ) > nat ).

thf(func_def_1682,type,
    sK180: ( nat > rat ) > nat ).

thf(func_def_1683,type,
    sK181: set_nat > nat ).

thf(func_def_1684,type,
    sK182: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1685,type,
    sK183: product_prod_int_int > $o ).

thf(func_def_1686,type,
    sK184: product_prod_int_int > $o ).

thf(func_def_1687,type,
    sK185: product_prod_int_int > $o ).

thf(func_def_1688,type,
    sK186: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_1689,type,
    sK187: set_int > int ).

thf(func_def_1690,type,
    sK188: set_nat > nat ).

thf(func_def_1691,type,
    sK189: set_nat > nat ).

thf(func_def_1692,type,
    sK190: ( nat > int ) > nat ).

thf(func_def_1693,type,
    sK191: ( nat > int ) > nat ).

thf(func_def_1694,type,
    sK192: int > set_int > int > int ).

thf(func_def_1695,type,
    sK193: int > set_int > int > int ).

thf(func_def_1696,type,
    sK194: set_int > ( int > nat ) > set_int > int ).

thf(func_def_1697,type,
    sK195: set_nat > ( nat > rat ) > ( nat > rat ) > nat ).

thf(func_def_1698,type,
    sK196: num > num > option_num > num ).

thf(func_def_1699,type,
    sK197: num > num > option_num > num ).

thf(func_def_1700,type,
    sK198: num > option_num > num > num ).

thf(func_def_1701,type,
    sK199: option_num > num > num > num ).

thf(func_def_1702,type,
    sK200: option_num > num > num > num ).

thf(func_def_1703,type,
    sK201: option_num > num > num > num ).

thf(func_def_1704,type,
    sK202: option_num > num > num > num ).

thf(func_def_1705,type,
    sK203: option_num > num > num ).

thf(func_def_1706,type,
    sK204: num > option_num > num > num ).

thf(func_def_1707,type,
    sK205: num > option_num > num > num ).

thf(func_def_1708,type,
    sK206: option_num > num > num > num ).

thf(func_def_1709,type,
    sK207: num > option_num > num ).

thf(func_def_1710,type,
    sK208: ( int > rat ) > int ).

thf(func_def_1711,type,
    sK209: ( int > rat ) > int ).

thf(func_def_1712,type,
    sK210: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > rat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1713,type,
    sK211: ( nat > nat > nat ) > nat ).

thf(func_def_1714,type,
    sK212: ( nat > nat > nat ) > nat ).

thf(func_def_1715,type,
    sK213: ( nat > nat > nat ) > nat ).

thf(func_def_1716,type,
    sK214: ( nat > nat > nat ) > nat ).

thf(func_def_1717,type,
    sK215: ( nat > nat > nat ) > nat ).

thf(func_def_1718,type,
    sK216: ( nat > nat > nat ) > nat ).

thf(func_def_1719,type,
    sK217: ( nat > nat > nat ) > nat ).

thf(func_def_1720,type,
    sK218: set_int > ( int > rat ) > ( int > rat ) > int ).

thf(func_def_1721,type,
    sK219: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_1722,type,
    sK220: ( nat > code_integer ) > set_nat > nat ).

thf(func_def_1723,type,
    sK221: produc3658429121746597890et_nat > $o ).

thf(func_def_1724,type,
    sK222: int > $o > ( $o > int > $o ) > ( $o > int > $o ) > int ).

thf(func_def_1725,type,
    sK223: int > $o > ( $o > int > $o ) > ( $o > int > $o ) > $o ).

thf(func_def_1726,type,
    sK224: set_set_nat > set_nat ).

thf(func_def_1727,type,
    sK225: int > int > int > int ).

thf(func_def_1728,type,
    sK226: int > int > int > int ).

thf(func_def_1729,type,
    sK227: set_nat > ( nat > int ) > set_nat > nat ).

thf(func_def_1730,type,
    sK228: ( int > int ) > set_int > set_int > int ).

thf(func_def_1731,type,
    sK229: set_int > set_int > ( int > int ) > int ).

thf(func_def_1732,type,
    sK230: ( nat > literal ) > nat ).

thf(func_def_1733,type,
    sK231: ( nat > literal ) > nat ).

thf(func_def_1734,type,
    sK232: code_integer > code_integer > code_integer ).

thf(func_def_1735,type,
    sK233: ( produc3658429121746597890et_nat > $o ) > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_1736,type,
    sK234: ( ( produc3658429121746597890et_nat > $o ) > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1737,type,
    sK235: ( rat > rat > rat ) > rat ).

thf(func_def_1738,type,
    sK236: ( rat > rat > rat ) > rat ).

thf(func_def_1739,type,
    sK237: ( rat > rat > rat ) > rat ).

thf(func_def_1740,type,
    sK238: ( rat > rat > rat ) > rat ).

thf(func_def_1741,type,
    sK239: ( rat > rat > rat ) > rat ).

thf(func_def_1742,type,
    sK240: ( rat > rat > rat ) > rat ).

thf(func_def_1743,type,
    sK241: ( rat > rat > rat ) > rat ).

thf(func_def_1744,type,
    sK242: ( nat > nat ) > set_nat > set_nat > nat ).

thf(func_def_1745,type,
    sK243: ( nat > nat ) > set_nat > set_nat > nat ).

thf(func_def_1746,type,
    sK244: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_1747,type,
    sK245: ( nat > int ) > ( nat > int ) > set_nat > nat ).

thf(func_def_1748,type,
    sK246: set_set_nat > ( set_nat > rat ) > ( set_nat > rat ) > set_nat ).

thf(func_def_1749,type,
    sK247: ( code_integer > $o ) > code_integer > code_integer ).

thf(func_def_1750,type,
    sK248: ( code_integer > $o ) > code_integer > code_integer ).

thf(func_def_1751,type,
    sK249: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_1752,type,
    sK250: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_1753,type,
    sK251: set_Pr4532377907799695533_nat_o > assn > ( ( produc3658429121746597890et_nat > $o ) > assn ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1754,type,
    sK252: ( nat > rat ) > set_nat > nat ).

thf(func_def_1755,type,
    sK253: set_int > ( int > nat ) > int ).

thf(func_def_1756,type,
    sK254: set_int > ( int > rat ) > int ).

thf(func_def_1757,type,
    sK255: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_1758,type,
    sK256: ( set_Pr4329608150637261639at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_1759,type,
    sK257: ( set_Pr958786334691620121nt_int > $o ) > rat ).

thf(func_def_1760,type,
    sK258: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_1761,type,
    sK259: nat ).

thf(func_def_1762,type,
    sK260: ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_1763,type,
    sK261: set_nat > set_nat > ( nat > int ) > nat ).

thf(func_def_1764,type,
    sK262: ( nat > rat ) > nat ).

thf(func_def_1765,type,
    sK263: ( nat > rat ) > nat ).

thf(func_def_1766,type,
    sK264: set_se6260736226359567993nt_int > ( set_se6260736226359567993nt_int > $o ) > set_se6260736226359567993nt_int ).

thf(func_def_1767,type,
    sK265: set_set_nat > set_set_nat > ( set_nat > int ) > set_nat ).

thf(func_def_1768,type,
    sK266: set_set_nat > ( set_nat > int ) > set_nat ).

thf(func_def_1769,type,
    sK267: ( set_rat > $o ) > set_rat ).

thf(func_def_1770,type,
    sK268: ( set_rat > $o ) > rat ).

thf(func_def_1771,type,
    sK269: ( set_int > $o ) > set_int ).

thf(func_def_1772,type,
    sK270: produc2285326912895808259nt_int > product_prod_int_int ).

thf(func_def_1773,type,
    sK271: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_1774,type,
    sK272: ( product_unit > $o ) > set_o > ( $o > product_unit ) > $o ).

thf(func_def_1775,type,
    sK273: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_1776,type,
    sK274: ( product_unit > $o ) > ( $o > product_unit ) > product_unit ).

thf(func_def_1777,type,
    sK275: int > ( int > $o ) > int ).

thf(func_def_1778,type,
    sK276: ( int > $o ) > int > int ).

thf(func_def_1779,type,
    sK277: ( int > code_integer ) > set_int > set_int > int ).

thf(func_def_1780,type,
    sK278: ( int > $o > $o ) > ( int > $o > $o ) > $o > int > $o ).

thf(func_def_1781,type,
    sK279: ( int > $o > $o ) > ( int > $o > $o ) > $o > int > int ).

thf(func_def_1782,type,
    sK280: set_int > ( int > nat ) > ( int > nat ) > int ).

thf(func_def_1783,type,
    sK281: ( rat > $o ) > rat > rat ).

thf(func_def_1784,type,
    sK282: ( rat > $o ) > rat > rat ).

thf(func_def_1785,type,
    sK283: ( rat > $o ) > rat > rat ).

thf(func_def_1786,type,
    sK284: ( rat > $o ) > rat > rat ).

thf(func_def_1787,type,
    sK285: set_nat > nat ).

thf(func_def_1788,type,
    sK286: set_nat > nat ).

thf(func_def_1789,type,
    sK287: num > num ).

thf(func_def_1790,type,
    sK288: num > option_num > num > num ).

thf(func_def_1791,type,
    sK289: num > option_num > num > num ).

thf(func_def_1792,type,
    sK290: num > num > option_num > num ).

thf(func_def_1793,type,
    sK291: num > num > option_num > num ).

thf(func_def_1794,type,
    sK292: num > option_num > num > num ).

thf(func_def_1795,type,
    sK293: num > option_num > num > num ).

thf(func_def_1796,type,
    sK294: num > option_num > num > num ).

thf(func_def_1797,type,
    sK295: num > num ).

thf(func_def_1798,type,
    sK296: num > num > option_num > num ).

thf(func_def_1799,type,
    sK297: num > num > option_num > num ).

thf(func_def_1800,type,
    sK298: num > num > option_num > num ).

thf(func_def_1801,type,
    sK299: set_int > ( int > rat ) > set_int > int ).

thf(func_def_1802,type,
    sK300: ( int > $o > $o ) > $o > ( int > $o > $o ) > int > $o ).

thf(func_def_1803,type,
    sK301: ( int > $o > $o ) > $o > ( int > $o > $o ) > int > int ).

thf(func_def_1804,type,
    sK302: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_1805,type,
    sK303: ( int > int ) > set_int > set_int > set_int > set_int > int ).

thf(func_def_1806,type,
    sK304: set_int > set_int > ( int > int ) > ( int > int ) > int ).

thf(func_def_1807,type,
    sK305: set_int > ( int > assn ) > int ).

thf(func_def_1808,type,
    sK306: set_int > ( int > assn ) > ( int > int ) > ( int > assn ) > int ).

thf(func_def_1809,type,
    sK307: set_int > set_int > set_int > ( int > int ) > set_int > int ).

thf(func_def_1810,type,
    sK308: set_int > ( int > int ) > set_int > ( int > int ) > int ).

thf(func_def_1811,type,
    sK309: set_int > ( int > assn ) > int ).

thf(func_def_1812,type,
    sK310: ( nat > rat ) > nat ).

thf(func_def_1813,type,
    sK311: ( nat > rat ) > nat ).

thf(func_def_1814,type,
    sK312: set_int > ( int > code_integer ) > set_int > int ).

thf(func_def_1815,type,
    sK313: produc3658429121746597890et_nat > set_nat ).

thf(func_def_1816,type,
    sK314: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_1817,type,
    sK315: set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_1818,type,
    sK316: set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_1819,type,
    sK317: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_1820,type,
    sK318: ( set_nat > code_integer ) > set_set_nat > set_nat ).

thf(func_def_1821,type,
    sK319: int > produc3925858234332021118et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_int ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1822,type,
    sK320: int > produc3925858234332021118et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_int ) > produc3658429121746597890et_nat ).

thf(func_def_1823,type,
    sK321: set_int > ( int > int ) > int ).

thf(func_def_1824,type,
    sK322: ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_1825,type,
    sK323: set_nat > ( nat > int ) > set_nat > nat ).

thf(func_def_1826,type,
    sK324: set_int > ( int > rat ) > set_int > int ).

thf(func_def_1827,type,
    sK325: set_int > set_int > ( int > rat ) > int ).

thf(func_def_1828,type,
    sK326: ( set_se6260736226359567993nt_int > $o ) > set_se6260736226359567993nt_int ).

thf(func_def_1829,type,
    sK327: ( set_se6260736226359567993nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_1830,type,
    sK328: ( 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_1831,type,
    sK329: ( 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_1832,type,
    sK330: ( int > int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > int ).

thf(func_def_1833,type,
    sK331: ( int > int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > int ).

thf(func_def_1834,type,
    sK332: ( literal > nat ) > literal ).

thf(func_def_1835,type,
    sK333: ( literal > nat ) > literal ).

thf(func_def_1836,type,
    sK334: ( set_o > $o ) > ( $o > nat ) > $o ).

thf(func_def_1837,type,
    sK335: ( set_o > $o ) > ( $o > nat ) > set_o ).

thf(func_def_1838,type,
    sK336: literal > list_char ).

thf(func_def_1839,type,
    sK337: produc3925858234332021118et_nat > produc3658429121746597890et_nat ).

thf(func_def_1840,type,
    sK338: produc3925858234332021118et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_1841,type,
    sK339: ( int > int ) > int ).

thf(func_def_1842,type,
    sK340: ( int > int ) > int ).

thf(func_def_1843,type,
    sK341: set_int > set_int > int ).

thf(func_def_1844,type,
    sK342: ( nat > rat ) > set_nat > ( rat > rat > $o ) > ( nat > rat ) > nat ).

thf(func_def_1845,type,
    sK343: ( rat > rat > $o ) > rat ).

thf(func_def_1846,type,
    sK344: ( rat > rat > $o ) > rat ).

thf(func_def_1847,type,
    sK345: ( rat > rat > $o ) > rat ).

thf(func_def_1848,type,
    sK346: ( rat > rat > $o ) > rat ).

thf(func_def_1849,type,
    sK347: ( literal > int ) > literal ).

thf(func_def_1850,type,
    sK348: ( literal > int ) > literal ).

thf(func_def_1851,type,
    sK349: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > $o ) > rat ).

thf(func_def_1852,type,
    sK350: set_nat > set_int > ( nat > int > $o ) > int ).

thf(func_def_1853,type,
    sK351: set_nat > set_int > ( nat > int > $o ) > nat ).

thf(func_def_1854,type,
    sK352: produc3843707927480180839at_nat > ( produc3843707927480180839at_nat > $o ) > ( produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_1855,type,
    sK353: set_int > ( int > assn ) > set_int > int ).

thf(func_def_1856,type,
    sK354: ( int > assn ) > set_int > set_int > int ).

thf(func_def_1857,type,
    sK355: ( literal > int ) > literal ).

thf(func_def_1858,type,
    sK356: ( literal > int ) > literal ).

thf(func_def_1859,type,
    sK357: ( $o > $o > $o ) > ( $o > $o > $o ) > $o > $o > $o ).

thf(func_def_1860,type,
    sK358: ( $o > $o > $o ) > ( $o > $o > $o ) > $o > $o > $o ).

thf(func_def_1861,type,
    sK359: set_nat > ( nat > code_integer ) > ( int > code_integer ) > ( nat > int ) > nat ).

thf(func_def_1862,type,
    sK360: set_nat > set_nat > ( nat > int ) > set_int > set_int > nat ).

thf(func_def_1863,type,
    sK361: set_nat > set_nat > ( int > nat ) > ( nat > int ) > nat ).

thf(func_def_1864,type,
    sK362: set_int > set_int > ( nat > int ) > ( int > nat ) > int ).

thf(func_def_1865,type,
    sK363: ( nat > code_integer ) > set_nat > nat ).

thf(func_def_1866,type,
    sK364: set_int > ( int > code_integer ) > int ).

thf(func_def_1867,type,
    sK365: set_nat > set_int > set_int > set_nat > ( int > nat ) > int ).

thf(func_def_1868,type,
    sK366: ( set_nat > int > $o ) > set_int > set_set_nat > set_nat ).

thf(func_def_1869,type,
    sK367: ( set_nat > int > $o ) > set_int > set_set_nat > int ).

thf(func_def_1870,type,
    sK368: set_int > ( int > int ) > set_int > int ).

thf(func_def_1871,type,
    sK369: set_int > ( int > int ) > ( int > int ) > int ).

thf(func_def_1872,type,
    sK370: set_int > ( int > code_integer ) > set_int > int ).

thf(func_def_1873,type,
    sK371: set_int > ( int > code_integer ) > int ).

thf(func_def_1874,type,
    sK372: set_Pr958786334691620121nt_int > ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_1875,type,
    sK373: ( nat > nat ) > set_nat > set_nat > nat ).

thf(func_def_1876,type,
    sK374: ( nat > nat ) > ( nat > nat ) > set_nat > set_nat > nat ).

thf(func_def_1877,type,
    sK375: ( nat > nat ) > set_nat > set_nat > nat ).

thf(func_def_1878,type,
    sK376: int > set_int > int > int ).

thf(func_def_1879,type,
    sK377: int > set_int > int > int ).

thf(func_def_1880,type,
    sK378: ( int > $o ) > int ).

thf(func_def_1881,type,
    sK379: ( nat > $o > $o ) > set_o > ( $o > nat ) > set_nat > $o ).

thf(func_def_1882,type,
    sK380: set_int > ( int > code_integer ) > int ).

thf(func_def_1883,type,
    sK381: rat > int ).

thf(func_def_1884,type,
    sK382: ( nat > int ) > set_nat > nat ).

thf(func_def_1885,type,
    sK383: nat > nat > nat ).

thf(func_def_1886,type,
    sK384: set_int > set_int > ( int > nat ) > int ).

thf(func_def_1887,type,
    sK385: set_int > set_int > ( int > nat ) > ( int > nat ) > int ).

thf(func_def_1888,type,
    sK386: set_int > set_int > ( int > nat ) > int ).

thf(func_def_1889,type,
    sK387: ( nat > int > $o ) > int > ( nat > int > $o ) > nat > int ).

thf(func_def_1890,type,
    sK388: ( nat > int > $o ) > int > ( nat > int > $o ) > nat > nat ).

thf(func_def_1891,type,
    sK389: set_int > ( int > rat ) > int ).

thf(func_def_1892,type,
    sK390: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1893,type,
    sK391: set_nat > set_nat > nat ).

thf(func_def_1894,type,
    sK392: ( int > int ) > set_int > int ).

thf(func_def_1895,type,
    sK393: set_Pr958786334691620121nt_int > ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_1896,type,
    sK394: ( nat > $o > $o ) > $o > nat > ( nat > $o > $o ) > $o ).

thf(func_def_1897,type,
    sK395: ( nat > $o > $o ) > $o > nat > ( nat > $o > $o ) > nat ).

thf(func_def_1898,type,
    sK396: set_nat ).

thf(func_def_1899,type,
    sK397: product_prod_nat_nat > set_nat > nat ).

thf(func_def_1900,type,
    sK398: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_1901,type,
    sK399: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_1902,type,
    sK400: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_1903,type,
    sK401: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_1904,type,
    sK402: set_nat > set_nat > ( nat > rat ) > nat ).

thf(func_def_1905,type,
    sK403: set_nat > set_nat > ( nat > rat ) > nat ).

thf(func_def_1906,type,
    sK404: set_nat > set_nat > ( nat > rat ) > ( nat > rat ) > nat ).

thf(func_def_1907,type,
    sK405: set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_1908,type,
    sK406: set_Pr4532377907799695533_nat_o > ( set_Pr4532377907799695533_nat_o > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_1909,type,
    sK407: ( nat > literal ) > nat ).

thf(func_def_1910,type,
    sK408: ( nat > literal ) > nat ).

thf(func_def_1911,type,
    sK409: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_1912,type,
    sK410: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_1913,type,
    sK411: ( set_nat > $o ) > ( set_nat > $o ) > set_nat ).

thf(func_def_1914,type,
    sK412: set_set_nat > set_nat ).

thf(func_def_1915,type,
    sK413: ( set_nat > rat ) > set_set_nat > set_nat ).

thf(func_def_1916,type,
    sK414: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1917,type,
    sK415: ( set_nat > $o ) > nat ).

thf(func_def_1918,type,
    sK416: ( set_nat > $o ) > set_nat ).

thf(func_def_1919,type,
    sK417: ( set_nat > $o ) > nat ).

thf(func_def_1920,type,
    sK418: set_nat > ( nat > code_integer ) > nat ).

thf(func_def_1921,type,
    sK419: ( $o > product_unit ) > ( product_unit > $o ) > set_o > $o ).

thf(func_def_1922,type,
    sK420: ( nat > nat ) > ( set_nat > $o ) > set_nat ).

thf(func_def_1923,type,
    sK421: ( nat > nat ) > ( set_nat > $o ) > nat ).

thf(func_def_1924,type,
    sK422: ( set_Pr4532377907799695533_nat_o > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1925,type,
    sK423: ( set_Pr4532377907799695533_nat_o > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_1926,type,
    sK424: ( set_Pr4532377907799695533_nat_o > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_1927,type,
    sK425: assn > produc3658429121746597890et_nat > $o ).

thf(func_def_1928,type,
    sK426: ( product_prod_nat_nat > code_integer ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1929,type,
    sK427: set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > code_integer ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1930,type,
    sK428: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ).

thf(func_def_1931,type,
    sK429: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ).

thf(func_def_1932,type,
    sK430: ( int > rat ) > set_int > int ).

thf(func_def_1933,type,
    sK431: set_int > ( int > rat ) > set_int > int ).

thf(func_def_1934,type,
    sK432: set_nat > set_nat > ( nat > rat ) > nat ).

thf(func_def_1935,type,
    sK433: set_nat > set_nat > ( nat > rat ) > nat ).

thf(func_def_1936,type,
    sK434: set_nat > set_nat > ( nat > rat ) > ( nat > rat ) > nat ).

thf(func_def_1937,type,
    sK435: int > ( int > $o ) > int ).

thf(func_def_1938,type,
    sK436: int > ( int > $o ) > int ).

thf(func_def_1939,type,
    sK437: int > ( int > $o ) > int ).

thf(func_def_1940,type,
    sK438: int > ( int > $o ) > int ).

thf(func_def_1941,type,
    sK439: nat > produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > int > option6357759511663192854e_term ).

thf(func_def_1942,type,
    sK440: nat > produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > product_prod_int_int ).

thf(func_def_1943,type,
    sK441: ( int > nat ) > set_int > int ).

thf(func_def_1944,type,
    sK442: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1945,type,
    sK443: set_int > ( int > int ) > ( int > int ) > set_int > int ).

thf(func_def_1946,type,
    sK444: set_int > ( int > int ) > set_int > int ).

thf(func_def_1947,type,
    sK445: set_int > ( int > int ) > set_int > int ).

thf(func_def_1948,type,
    sK446: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_1949,type,
    sK447: produc2285326912895808259nt_int > product_prod_int_int ).

thf(func_def_1950,type,
    sK448: ( nat > nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_1951,type,
    sK449: ( nat > nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_1952,type,
    sK450: int > ( set_Pr1261947904930325089at_nat > int ) > set_Pr1261947904930325089at_nat ).

thf(func_def_1953,type,
    sK451: ( rat > rat ) > rat ).

thf(func_def_1954,type,
    sK452: ( rat > rat ) > rat ).

thf(func_def_1955,type,
    sK453: ( set_nat > int ) > set_set_nat > ( set_nat > int ) > set_nat ).

thf(func_def_1956,type,
    sK454: ( nat > rat ) > ( nat > rat ) > set_nat > nat ).

thf(func_def_1957,type,
    sK455: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_1958,type,
    sK456: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_1959,type,
    sK457: set_int > ( set_int > $o ) > set_int ).

thf(func_def_1960,type,
    sK458: set_nat > ( nat > assn ) > ( nat > assn ) > set_nat > nat ).

thf(func_def_1961,type,
    sK459: set_nat > ( nat > assn ) > set_nat > nat ).

thf(func_def_1962,type,
    sK460: set_nat > ( nat > assn ) > set_nat > nat ).

thf(func_def_1963,type,
    sK461: set_nat > ( nat > assn ) > set_nat > nat ).

thf(func_def_1964,type,
    sK462: set_nat > ( nat > assn ) > set_nat > nat ).

thf(func_def_1965,type,
    sK463: nat > nat > nat ).

thf(func_def_1966,type,
    sK464: ( set_nat > $o ) > set_set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_1967,type,
    sK465: ( nat > rat ) > nat ).

thf(func_def_1968,type,
    sK466: ( nat > rat ) > nat ).

thf(func_def_1969,type,
    sK467: set_nat > ( nat > code_integer ) > set_nat > nat ).

thf(func_def_1970,type,
    sK468: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc1908205239877642774nteger > nat > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_1971,type,
    sK469: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc1908205239877642774nteger > nat > produc8923325533196201883nteger ).

thf(func_def_1972,type,
    sK470: ( int > rat ) > set_int > set_int > ( int > rat ) > int ).

thf(func_def_1973,type,
    sK471: set_int > set_int > ( int > rat ) > int ).

thf(func_def_1974,type,
    sK472: ( int > rat ) > set_int > set_int > int ).

thf(func_def_1975,type,
    sK473: set_se7855581050983116737at_nat > ( int > $o ) > ( set_Pr1261947904930325089at_nat > int ) > set_Pr1261947904930325089at_nat ).

thf(func_def_1976,type,
    sK474: ( int > code_integer ) > set_int > set_int > int ).

thf(func_def_1977,type,
    sK475: ( int > code_integer ) > ( int > code_integer ) > set_int > set_int > int ).

thf(func_def_1978,type,
    sK476: ( int > code_integer ) > set_int > set_int > int ).

thf(func_def_1979,type,
    sK477: ( int > $o ) > int > int ).

thf(func_def_1980,type,
    sK478: set_int > ( int > rat ) > set_int > int ).

thf(func_def_1981,type,
    sK479: ( int > rat ) > set_int > set_int > int ).

thf(func_def_1982,type,
    sK480: nat > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > nat ).

thf(func_def_1983,type,
    sK481: nat > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > nat ).

thf(func_def_1984,type,
    sK482: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_1985,type,
    sK483: produc3658429121746597890et_nat > set_nat ).

thf(func_def_1986,type,
    sK484: produc3658429121746597890et_nat > nat ).

thf(func_def_1987,type,
    sK485: rat > rat > nat ).

thf(func_def_1988,type,
    sK486: set_set_nat > ( set_nat > code_integer ) > set_nat ).

thf(func_def_1989,type,
    sK487: ( set_Pr4532377907799695533_nat_o > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1990,type,
    sK488: ( set_Pr4532377907799695533_nat_o > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_1991,type,
    sK489: ( set_Pr4532377907799695533_nat_o > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_1992,type,
    sK490: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_1993,type,
    sK491: ( rat > rat > rat ) > rat ).

thf(func_def_1994,type,
    sK492: ( rat > rat > rat ) > rat ).

thf(func_def_1995,type,
    sK493: ( rat > rat > rat ) > rat ).

thf(func_def_1996,type,
    sK494: ( rat > rat > rat ) > rat ).

thf(func_def_1997,type,
    sK495: ( rat > rat > rat ) > rat ).

thf(func_def_1998,type,
    sK496: ( rat > rat > rat ) > rat ).

thf(func_def_1999,type,
    sK497: ( rat > rat > rat ) > rat ).

thf(func_def_2000,type,
    sK498: ( nat > int ) > set_nat > nat ).

thf(func_def_2001,type,
    sK499: ( set_o > $o ) > $o ).

thf(func_def_2002,type,
    sK500: ( set_o > $o ) > set_o ).

thf(func_def_2003,type,
    sK501: list_char > literal ).

thf(func_def_2004,type,
    sK502: ( int > $o ) > int ).

thf(func_def_2005,type,
    sK503: ( int > $o ) > $o ).

thf(func_def_2006,type,
    sK504: ( int > $o ) > int ).

thf(func_def_2007,type,
    sK505: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2008,type,
    sK506: ( int > int > $o ) > int ).

thf(func_def_2009,type,
    sK507: ( int > int > $o ) > int ).

thf(func_def_2010,type,
    sK508: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_2011,type,
    sK509: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ).

thf(func_def_2012,type,
    sK510: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ).

thf(func_def_2013,type,
    sK511: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ).

thf(func_def_2014,type,
    sK512: $o > produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_2015,type,
    sK513: $o > produc3658429121746597890et_nat > set_nat ).

thf(func_def_2016,type,
    sK514: ( int > nat ) > int ).

thf(func_def_2017,type,
    sK515: ( int > nat ) > int ).

thf(func_def_2018,type,
    sK516: ( int > int > int ) > product_prod_int_int > ( int > int > int ) > int ).

thf(func_def_2019,type,
    sK517: ( int > int > int ) > product_prod_int_int > ( int > int > int ) > int ).

thf(func_def_2020,type,
    sK518: produc7822875418678951345atural > code_natural ).

thf(func_def_2021,type,
    sK519: produc7822875418678951345atural > code_natural ).

thf(func_def_2022,type,
    sK520: produc7822875418678951345atural > code_natural ).

thf(func_def_2023,type,
    sK521: set_int > int ).

thf(func_def_2024,type,
    sK522: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_2025,type,
    sK523: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_2026,type,
    sK524: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_2027,type,
    sK525: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_2028,type,
    sK526: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_2029,type,
    sK527: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_2030,type,
    sK528: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_2031,type,
    sK529: set_int > set_int > int ).

thf(func_def_2032,type,
    sK530: nat > list_nat > nat ).

thf(func_def_2033,type,
    sK531: produc3658429121746597890et_nat > set_nat ).

thf(func_def_2034,type,
    sK532: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_2035,type,
    sK533: ( nat > int ) > nat ).

thf(func_def_2036,type,
    sK534: ( nat > int ) > nat ).

thf(func_def_2037,type,
    sK535: ( int > int > $o ) > set_int > set_int > int ).

thf(func_def_2038,type,
    sK536: ( int > int > $o ) > set_int > set_int > int ).

thf(func_def_2039,type,
    sK537: ( assn > $o ) > set_Pr4532377907799695533_nat_o > ( ( produc3658429121746597890et_nat > $o ) > assn ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2040,type,
    sK538: ( int > rat ) > ( rat > rat > $o ) > set_int > ( int > rat ) > int ).

thf(func_def_2041,type,
    sK539: ( rat > rat > $o ) > rat ).

thf(func_def_2042,type,
    sK540: ( rat > rat > $o ) > rat ).

thf(func_def_2043,type,
    sK541: ( rat > rat > $o ) > rat ).

thf(func_def_2044,type,
    sK542: ( rat > rat > $o ) > rat ).

thf(func_def_2045,type,
    sK543: ( nat > nat ) > nat ).

thf(func_def_2046,type,
    sK544: ( nat > nat ) > nat ).

thf(func_def_2047,type,
    sK545: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_2048,type,
    sK546: set_nat > ( nat > int ) > nat ).

thf(func_def_2049,type,
    sK547: ( int > nat ) > set_int > ( int > nat ) > int ).

thf(func_def_2050,type,
    sK548: set_nat > set_nat > ( nat > rat ) > nat ).

thf(func_def_2051,type,
    sK549: ( nat > int ) > nat ).

thf(func_def_2052,type,
    sK550: ( nat > int ) > nat ).

thf(func_def_2053,type,
    sK551: ( int > literal ) > int ).

thf(func_def_2054,type,
    sK552: ( int > literal ) > int ).

thf(func_def_2055,type,
    sK553: set_rat > rat ).

thf(func_def_2056,type,
    sK554: ( produc3658429121746597890et_nat > $o ) > assn > produc3658429121746597890et_nat ).

thf(func_def_2057,type,
    sK555: set_int > set_int > ( int > int ) > int ).

thf(func_def_2058,type,
    sK556: ( list_char > $o ) > ( literal > list_char ) > literal ).

thf(func_def_2059,type,
    sK557: multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_2060,type,
    sK558: multis2468970476368604999at_nat > multis2468970476368604999at_nat > product_prod_nat_nat ).

thf(func_def_2061,type,
    sK559: multis2468970476368604999at_nat > multis2468970476368604999at_nat > product_prod_nat_nat ).

thf(func_def_2062,type,
    sK560: multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_2063,type,
    sK561: ( nat > int ) > nat > nat ).

thf(func_def_2064,type,
    sK562: ( nat > int ) > nat > int > nat ).

thf(func_def_2065,type,
    sK563: ( produc3925858234332021118et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2066,type,
    sK564: ( produc3925858234332021118et_nat > $o ) > produc3658429121746597890et_nat ).

thf(func_def_2067,type,
    sK565: set_int > set_int > ( int > assn ) > int ).

thf(func_def_2068,type,
    sK566: ( int > assn ) > set_int > set_int > int ).

thf(func_def_2069,type,
    sK567: set_o > $o ).

thf(func_def_2070,type,
    sK568: ( rat > literal ) > rat ).

thf(func_def_2071,type,
    sK569: ( rat > literal ) > rat ).

thf(func_def_2072,type,
    sK570: set_nat > ( nat > int ) > nat ).

thf(func_def_2073,type,
    sK571: ( nat > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > set_nat > product_prod_nat_nat ).

thf(func_def_2074,type,
    sK572: set_set_nat > set_set_nat > set_nat ).

thf(func_def_2075,type,
    sK573: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2076,type,
    sK574: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2077,type,
    sK575: produc1908205239877642774nteger > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2078,type,
    sK576: produc1908205239877642774nteger > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8923325533196201883nteger ).

thf(func_def_2079,type,
    sK577: ( int > $o ) > ( int > $o ) > set_int > int ).

thf(func_def_2080,type,
    sK578: set_nat > set_nat > ( nat > nat ) > nat ).

thf(func_def_2081,type,
    sK579: set_Pr4329608150637261639at_nat ).

thf(func_def_2082,type,
    sK580: set_Pr4329608150637261639at_nat ).

thf(func_def_2083,type,
    sK581: set_Pr4329608150637261639at_nat ).

thf(func_def_2084,type,
    sK582: ( nat > nat > $o ) > nat ).

thf(func_def_2085,type,
    sK583: ( nat > nat > $o ) > nat ).

thf(func_def_2086,type,
    sK584: ( nat > nat > $o ) > nat ).

thf(func_def_2087,type,
    sK585: ( nat > nat > $o ) > nat ).

thf(func_def_2088,type,
    sK586: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_2089,type,
    sK587: produc3658429121746597890et_nat > set_nat ).

thf(func_def_2090,type,
    sK588: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_2091,type,
    sK589: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > int > option6357759511663192854e_term ).

thf(func_def_2092,type,
    sK590: set_int > ( int > code_integer ) > set_int > int ).

thf(func_def_2093,type,
    sK591: int > nat ).

thf(func_def_2094,type,
    sK592: ( rat > rat ) > rat ).

thf(func_def_2095,type,
    sK593: ( rat > rat ) > rat ).

thf(func_def_2096,type,
    sK594: ( int > $o ) > int > set_int > int ).

thf(func_def_2097,type,
    sK595: int > set_int > int > int ).

thf(func_def_2098,type,
    sK596: int > set_int > int > int ).

thf(func_def_2099,type,
    sK597: ( int > $o ) > set_int > int > int ).

thf(func_def_2100,type,
    sK598: ( literal > literal ) > literal ).

thf(func_def_2101,type,
    sK599: ( literal > literal ) > literal ).

thf(func_def_2102,type,
    sK600: product_prod_int_int > int > int > int ).

thf(func_def_2103,type,
    sK601: product_prod_int_int > int > int > int ).

thf(func_def_2104,type,
    sK602: int > int > product_prod_int_int > int ).

thf(func_def_2105,type,
    sK603: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2106,type,
    sK604: ( set_int > $o ) > set_int ).

thf(func_def_2107,type,
    sK605: ( set_int > $o ) > int ).

thf(func_def_2108,type,
    sK606: ( set_int > $o ) > set_int ).

thf(func_def_2109,type,
    sK607: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2110,type,
    sK608: code_integer > int ).

thf(func_def_2111,type,
    sK609: ( set_nat > int ) > int > set_set_nat > int > set_nat ).

thf(func_def_2112,type,
    sK610: ( set_nat > int ) > set_set_nat > set_nat ).

thf(func_def_2113,type,
    sK611: set_o > ( $o > code_integer ) > $o ).

thf(func_def_2114,type,
    sK612: ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_2115,type,
    sK613: ( int > int ) > set_int > set_int > int ).

thf(func_def_2116,type,
    sK614: ( literal > rat ) > literal ).

thf(func_def_2117,type,
    sK615: ( literal > rat ) > literal ).

thf(func_def_2118,type,
    sK616: ( product_prod_nat_nat > nat > $o ) > set_nat > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_2119,type,
    sK617: ( product_prod_nat_nat > nat > $o ) > set_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2120,type,
    sK618: ( int > $o ) > code_integer ).

thf(func_def_2121,type,
    sK619: set_nat > nat ).

thf(func_def_2122,type,
    sK620: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2123,type,
    sK621: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2124,type,
    sK622: set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat > produc3658429121746597890et_nat ).

thf(func_def_2125,type,
    sK623: set_Pr3286484037609594932et_nat > set_Pr3286484037609594932et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2126,type,
    sK624: ( nat > $o ) > nat ).

thf(func_def_2127,type,
    sK625: ( nat > $o ) > nat ).

thf(func_def_2128,type,
    sK626: ( nat > $o ) > $o ).

thf(func_def_2129,type,
    sK627: int ).

thf(func_def_2130,type,
    sK628: int ).

thf(func_def_2131,type,
    sK629: int ).

thf(func_def_2132,type,
    sK630: ( int > code_integer ) > set_int > int ).

thf(func_def_2133,type,
    sK631: ( nat > nat > $o ) > ( int > nat ) > set_int > ( int > nat ) > int ).

thf(func_def_2134,type,
    sK632: ( nat > nat > $o ) > nat ).

thf(func_def_2135,type,
    sK633: ( nat > nat > $o ) > nat ).

thf(func_def_2136,type,
    sK634: ( nat > nat > $o ) > nat ).

thf(func_def_2137,type,
    sK635: ( nat > nat > $o ) > nat ).

thf(func_def_2138,type,
    sK636: set_nat > ( nat > set_nat ) > set_set_nat > set_nat ).

thf(func_def_2139,type,
    sK637: set_set_nat > ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2140,type,
    sK638: ( set_Pr958786334691620121nt_int > rat ) > ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2141,type,
    sK639: ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > rat ).

thf(func_def_2142,type,
    sK640: ( set_Pr958786334691620121nt_int > rat ) > ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_2143,type,
    sK641: ( nat > code_integer ) > set_nat > set_nat > nat ).

thf(func_def_2144,type,
    sK642: ( nat > code_integer ) > set_nat > set_nat > ( nat > code_integer ) > nat ).

thf(func_def_2145,type,
    sK643: set_nat > set_nat > ( nat > code_integer ) > nat ).

thf(func_def_2146,type,
    sK644: set_o > $o ).

thf(func_def_2147,type,
    sK645: set_o > $o ).

thf(func_def_2148,type,
    sK646: ( code_integer > $o ) > $o ).

thf(func_def_2149,type,
    sK647: ( code_integer > $o ) > code_integer ).

thf(func_def_2150,type,
    sK648: ( code_integer > $o ) > code_integer ).

thf(func_def_2151,type,
    sK649: ( set_o > $o ) > $o ).

thf(func_def_2152,type,
    sK650: ( set_o > $o ) > set_o ).

thf(func_def_2153,type,
    sK651: ( set_o > $o ) > $o ).

thf(func_def_2154,type,
    sK652: set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_2155,type,
    sK653: ( int > int ) > set_int > int ).

thf(func_def_2156,type,
    sK654: produc3925858234332021118et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2157,type,
    sK655: produc3925858234332021118et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat ).

thf(func_def_2158,type,
    sK656: set_o > $o ).

thf(func_def_2159,type,
    sK657: set_int > set_int > ( int > assn ) > int ).

thf(func_def_2160,type,
    sK658: set_rat > rat ).

thf(func_def_2161,type,
    sK659: set_int > set_int ).

thf(func_def_2162,type,
    sK660: set_int > int ).

thf(func_def_2163,type,
    sK661: ( int > int ) > int ).

thf(func_def_2164,type,
    sK662: ( int > int ) > int ).

thf(func_def_2165,type,
    sK663: ( rat > rat > $o ) > rat ).

thf(func_def_2166,type,
    sK664: ( rat > rat > $o ) > rat ).

thf(func_def_2167,type,
    sK665: ( rat > rat > $o ) > rat ).

thf(func_def_2168,type,
    sK666: ( rat > rat > $o ) > rat ).

thf(func_def_2169,type,
    sK667: ( filter_nat > rat ) > filter_nat ).

thf(func_def_2170,type,
    sK668: ( filter_nat > rat ) > filter_nat ).

thf(func_def_2171,type,
    sK669: set_int > ( int > rat ) > set_int > int ).

thf(func_def_2172,type,
    sK670: ( literal > nat ) > literal ).

thf(func_def_2173,type,
    sK671: ( literal > nat ) > literal ).

thf(func_def_2174,type,
    sK672: ( int > int ) > ( int > int ) > set_int > int ).

thf(func_def_2175,type,
    sK673: ( rat > rat ) > rat ).

thf(func_def_2176,type,
    sK674: ( rat > rat ) > rat ).

thf(func_def_2177,type,
    sK675: ( rat > rat ) > rat ).

thf(func_def_2178,type,
    sK676: ( rat > rat ) > rat ).

thf(func_def_2179,type,
    sK677: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > $o ) > assn ).

thf(func_def_2180,type,
    sK678: ( produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_2181,type,
    sK679: ( nat > nat ) > nat ).

thf(func_def_2182,type,
    sK680: ( nat > nat ) > nat ).

thf(func_def_2183,type,
    sK681: ( int > rat ) > int ).

thf(func_def_2184,type,
    sK682: ( int > rat ) > int ).

thf(func_def_2185,type,
    sK683: ( nat > code_integer ) > set_nat > set_nat > nat ).

thf(func_def_2186,type,
    sK684: ( nat > code_integer ) > set_nat > set_nat > nat ).

thf(func_def_2187,type,
    sK685: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2188,type,
    sK686: ( set_Pr1261947904930325089at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2189,type,
    sK687: assn > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat ).

thf(func_def_2190,type,
    sK688: set_int > int ).

thf(func_def_2191,type,
    sK689: set_o > $o ).

thf(func_def_2192,type,
    sK690: ( set_int > $o ) > ( int > nat ) > set_int ).

thf(func_def_2193,type,
    sK691: ( set_int > $o ) > ( int > nat ) > int ).

thf(func_def_2194,type,
    sK692: set_filter_nat > filter_nat ).

thf(func_def_2195,type,
    sK693: $o > ( $o > code_integer ) > set_o > $o ).

thf(func_def_2196,type,
    sK694: ( rat > rat ) > rat ).

thf(func_def_2197,type,
    sK695: ( rat > rat ) > rat ).

thf(func_def_2198,type,
    sK696: ( set_Pr1261947904930325089at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2199,type,
    sK697: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2200,type,
    sK698: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2201,type,
    sK699: ( nat > nat ) > nat ).

thf(func_def_2202,type,
    sK700: ( nat > nat ) > nat ).

thf(func_def_2203,type,
    sK701: set_nat > ( nat > rat ) > nat ).

thf(func_def_2204,type,
    sK702: set_nat > ( nat > rat ) > rat > rat > nat ).

thf(func_def_2205,type,
    sK703: nat > ( nat > nat > $o ) > nat ).

thf(func_def_2206,type,
    sK704: set_set_nat > set_nat ).

thf(func_def_2207,type,
    sK705: ( set_nat > $o ) > set_nat > nat ).

thf(func_def_2208,type,
    sK706: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2209,type,
    sK707: set_nat > ( nat > int ) > nat ).

thf(func_def_2210,type,
    sK708: set_set_nat > set_nat ).

thf(func_def_2211,type,
    sK709: set_o > ( $o > int ) > $o ).

thf(func_def_2212,type,
    sK710: ( set_nat > rat ) > set_set_nat > ( set_nat > rat ) > set_nat ).

thf(func_def_2213,type,
    sK711: set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_2214,type,
    sK712: ( int > int > int ) > ( product_prod_int_int > int ) > int ).

thf(func_def_2215,type,
    sK713: ( int > int > int ) > ( product_prod_int_int > int ) > int ).

thf(func_def_2216,type,
    sK714: ( nat > rat ) > ( nat > rat ) > set_nat > nat ).

thf(func_def_2217,type,
    sK715: ( int > literal ) > int ).

thf(func_def_2218,type,
    sK716: ( int > literal ) > int ).

thf(func_def_2219,type,
    sK717: set_nat > ( nat > int ) > ( nat > int ) > nat ).

thf(func_def_2220,type,
    sK718: set_nat > set_nat > ( nat > int ) > nat ).

thf(func_def_2221,type,
    sK719: set_nat > set_nat > ( nat > assn ) > nat ).

thf(func_def_2222,type,
    sK720: set_set_nat > set_set_nat > ( set_nat > rat ) > set_nat ).

thf(func_def_2223,type,
    sK721: set_set_nat > ( set_nat > rat ) > set_nat ).

thf(func_def_2224,type,
    sK722: ( rat > rat ) > rat ).

thf(func_def_2225,type,
    sK723: ( rat > rat ) > rat ).

thf(func_def_2226,type,
    sK724: produc8731074985263844745atural > code_natural > option6357759511663192854e_term ).

thf(func_def_2227,type,
    sK725: produc8731074985263844745atural > code_natural ).

thf(func_def_2228,type,
    sK726: produc8731074985263844745atural > code_natural ).

thf(func_def_2229,type,
    sK727: ( int > rat ) > int ).

thf(func_def_2230,type,
    sK728: ( int > rat ) > int ).

thf(func_def_2231,type,
    sK729: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_2232,type,
    sK730: produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_2233,type,
    sK731: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > int > option6357759511663192854e_term ).

thf(func_def_2234,type,
    sK732: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > product_prod_int_int ).

thf(func_def_2235,type,
    sK733: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2236,type,
    sK734: ( set_Pr1261947904930325089at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2237,type,
    sK735: ( $o > $o ) > ( product_unit > $o ) > product_unit ).

thf(func_def_2238,type,
    sK736: ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2239,type,
    sK737: ( produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( ( produc3658429121746597890et_nat > $o ) > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2240,type,
    sK738: ( set_int > $o ) > ( int > int ) > set_int ).

thf(func_def_2241,type,
    sK739: ( set_int > $o ) > ( int > int ) > int ).

thf(func_def_2242,type,
    sK740: set_list_char > ( literal > list_char ) > literal ).

thf(func_def_2243,type,
    sK741: set_list_char > ( literal > list_char ) > ( list_char > literal ) > list_char ).

thf(func_def_2244,type,
    sK742: ( literal > list_char ) > ( list_char > literal ) > literal ).

thf(func_def_2245,type,
    sK743: set_Pr4329608150637261639at_nat > ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2246,type,
    sK744: ( nat > rat ) > set_nat > nat ).

thf(func_def_2247,type,
    sK745: ( nat > literal ) > nat ).

thf(func_def_2248,type,
    sK746: ( nat > literal ) > nat ).

thf(func_def_2249,type,
    sK747: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_2250,type,
    sK748: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_2251,type,
    sK749: ( nat > assn ) > set_nat > set_nat > nat ).

thf(func_def_2252,type,
    sK750: ( rat > int ) > rat ).

thf(func_def_2253,type,
    sK751: ( rat > int ) > rat ).

thf(func_def_2254,type,
    sK752: set_int > ( set_int > $o ) > set_int ).

thf(func_def_2255,type,
    sK753: ( nat > int ) > nat ).

thf(func_def_2256,type,
    sK754: ( nat > int ) > nat ).

thf(func_def_2257,type,
    sK755: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2258,type,
    sK756: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_2259,type,
    sK757: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_2260,type,
    sK758: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_2261,type,
    sK759: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_2262,type,
    sK760: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_2263,type,
    sK761: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_2264,type,
    sK762: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_2265,type,
    sK763: ( set_Pr958786334691620121nt_int > rat ) > ( rat > $o ) > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2266,type,
    sK764: ( int > rat ) > int ).

thf(func_def_2267,type,
    sK765: ( int > rat ) > int ).

thf(func_def_2268,type,
    sK766: product_prod_int_int > $o ).

thf(func_def_2269,type,
    sK767: product_prod_int_int > $o ).

thf(func_def_2270,type,
    sK768: product_prod_int_int > $o ).

thf(func_def_2271,type,
    sK769: ( int > nat > $o ) > ( int > nat > $o ) > nat > int > nat ).

thf(func_def_2272,type,
    sK770: ( int > nat > $o ) > ( int > nat > $o ) > nat > int > int ).

thf(func_def_2273,type,
    sK771: set_o > set_o > $o ).

thf(func_def_2274,type,
    sK772: ( nat > code_integer ) > set_nat > nat ).

thf(func_def_2275,type,
    sK773: $o > $o > ( $o > $o > $o ) > ( $o > $o > $o ) > $o ).

thf(func_def_2276,type,
    sK774: $o > $o > ( $o > $o > $o ) > ( $o > $o > $o ) > $o ).

thf(func_def_2277,type,
    sK775: ( rat > literal ) > rat ).

thf(func_def_2278,type,
    sK776: ( rat > literal ) > rat ).

thf(func_def_2279,type,
    sK777: ( rat > int ) > rat ).

thf(func_def_2280,type,
    sK778: ( rat > int ) > rat ).

thf(func_def_2281,type,
    sK779: ( set_o > $o ) > set_o ).

thf(func_def_2282,type,
    sK780: ( set_o > $o ) > $o ).

thf(func_def_2283,type,
    sK781: ( set_o > $o ) > set_o ).

thf(func_def_2284,type,
    sK782: set_nat > ( nat > rat ) > nat ).

thf(func_def_2285,type,
    sK783: ( nat > int > $o ) > ( nat > int > $o ) > int > nat > nat ).

thf(func_def_2286,type,
    sK784: ( nat > int > $o ) > ( nat > int > $o ) > int > nat > int ).

thf(func_def_2287,type,
    sK785: set_Pr4532377907799695533_nat_o > ( ( produc3658429121746597890et_nat > $o ) > nat ) > ( ( produc3658429121746597890et_nat > $o ) > nat ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2288,type,
    sK786: ( nat > code_integer ) > set_nat > set_nat > nat ).

thf(func_def_2289,type,
    sK787: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_set_nat ) > set_nat > product_prod_int_int ).

thf(func_def_2290,type,
    sK788: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_set_nat ) > set_nat > int > option6357759511663192854e_term ).

thf(func_def_2291,type,
    sK789: set_int > set_nat > ( int > nat > $o ) > ( nat > nat ) > nat ).

thf(func_def_2292,type,
    sK790: set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_2293,type,
    sK791: int > int > int ).

thf(func_def_2294,type,
    sK792: nat > nat > nat ).

thf(func_def_2295,type,
    sK793: set_set_nat > ( set_nat > code_integer ) > set_set_nat > set_nat ).

thf(func_def_2296,type,
    sK794: ( set_nat > code_integer ) > set_set_nat > set_nat ).

thf(func_def_2297,type,
    sK795: produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2298,type,
    sK796: produc2732055786443039994et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_2299,type,
    sK797: produc2732055786443039994et_nat > set_nat ).

thf(func_def_2300,type,
    sK798: produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2301,type,
    sK799: ( set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2302,type,
    sK800: code_integer > code_integer ).

thf(func_def_2303,type,
    sK801: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2304,type,
    sK802: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2305,type,
    sK803: ( set_se6260736226359567993nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_2306,type,
    sK804: ( set_se6260736226359567993nt_int > $o ) > set_se6260736226359567993nt_int ).

thf(func_def_2307,type,
    sK805: ( set_se6260736226359567993nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_2308,type,
    sK806: product_prod_int_int > ( int > int > $o ) > int ).

thf(func_def_2309,type,
    sK807: product_prod_int_int > ( int > int > $o ) > int ).

thf(func_def_2310,type,
    sK808: produc2285326912895808259nt_int > int ).

thf(func_def_2311,type,
    sK809: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2312,type,
    sK810: produc2285326912895808259nt_int > int ).

thf(func_def_2313,type,
    sK811: ( rat > int ) > rat ).

thf(func_def_2314,type,
    sK812: ( rat > int ) > rat ).

thf(func_def_2315,type,
    sK813: ( literal > $o ) > list_char ).

thf(func_def_2316,type,
    sK814: ( set_se6260736226359567993nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_2317,type,
    sK815: ( set_se6260736226359567993nt_int > $o ) > set_se6260736226359567993nt_int ).

thf(func_def_2318,type,
    sK816: set_nat > nat ).

thf(func_def_2319,type,
    sK817: ( nat > int ) > nat > int > nat ).

thf(func_def_2320,type,
    sK818: ( nat > int ) > nat > nat ).

thf(func_def_2321,type,
    sK819: ( int > code_integer ) > set_int > ( int > code_integer ) > int ).

thf(func_def_2322,type,
    sK820: ( int > code_integer ) > set_int > set_int > int ).

thf(func_def_2323,type,
    sK821: ( set_o > $o ) > set_o ).

thf(func_def_2324,type,
    sK822: ( set_o > $o ) > $o ).

thf(func_def_2325,type,
    sK823: $o ).

thf(func_def_2326,type,
    sK824: ( nat > code_integer ) > ( nat > code_integer ) > set_nat > nat ).

thf(func_def_2327,type,
    sK825: ( nat > code_integer ) > set_nat > set_nat > nat ).

thf(func_def_2328,type,
    sK826: ( produc2285326912895808259nt_int > $o ) > int ).

thf(func_def_2329,type,
    sK827: ( produc2285326912895808259nt_int > $o ) > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2330,type,
    sK828: ( produc2285326912895808259nt_int > $o ) > int ).

thf(func_def_2331,type,
    sK829: ( int > rat ) > set_int > int ).

thf(func_def_2332,type,
    sK830: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2333,type,
    sK831: produc7822875418678951345atural > code_natural ).

thf(func_def_2334,type,
    sK832: produc7822875418678951345atural > code_natural ).

thf(func_def_2335,type,
    sK833: set_nat > ( nat > code_integer ) > code_integer > code_integer > nat ).

thf(func_def_2336,type,
    sK834: ( nat > code_integer ) > set_nat > nat ).

thf(func_def_2337,type,
    sK835: ( int > rat ) > set_int > ( int > rat ) > int ).

thf(func_def_2338,type,
    sK836: ( assn > assn > $o ) > assn ).

thf(func_def_2339,type,
    sK837: ( assn > assn > $o ) > assn ).

thf(func_def_2340,type,
    sK838: ( assn > assn > $o ) > assn ).

thf(func_def_2341,type,
    sK839: ( assn > assn > $o ) > assn ).

thf(func_def_2342,type,
    sK840: ( nat > assn ) > ( assn > assn > $o ) > set_nat > ( nat > assn ) > nat ).

thf(func_def_2343,type,
    sK841: nat > ( nat > $o ) > nat > nat ).

thf(func_def_2344,type,
    sK842: set_nat > set_nat > ( nat > assn ) > nat ).

thf(func_def_2345,type,
    sK843: ( nat > assn ) > set_nat > set_nat > nat ).

thf(func_def_2346,type,
    sK844: ( literal > literal ) > literal ).

thf(func_def_2347,type,
    sK845: ( literal > literal ) > literal ).

thf(func_def_2348,type,
    sK846: ( nat > int ) > set_nat > nat ).

thf(func_def_2349,type,
    sK847: product_prod_num_num > num ).

thf(func_def_2350,type,
    sK848: product_prod_num_num > num ).

thf(func_def_2351,type,
    sK849: product_prod_num_num > num ).

thf(func_def_2352,type,
    sK850: product_prod_num_num > num ).

thf(func_def_2353,type,
    sK851: product_prod_num_num > num ).

thf(func_def_2354,type,
    sK852: product_prod_num_num > num ).

thf(func_def_2355,type,
    sK853: product_prod_num_num > num ).

thf(func_def_2356,type,
    sK854: product_prod_num_num > num ).

thf(func_def_2357,type,
    sK855: product_prod_num_num > num ).

thf(func_def_2358,type,
    sK856: product_prod_num_num > num ).

thf(func_def_2359,type,
    sK857: product_prod_num_num > num ).

thf(func_def_2360,type,
    sK858: product_prod_num_num > num ).

thf(func_def_2361,type,
    sK859: produc3925858234332021118et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2362,type,
    sK860: produc3925858234332021118et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_2363,type,
    sK861: produc3925858234332021118et_nat > set_nat ).

thf(func_def_2364,type,
    sK862: ( int > int > $o ) > int ).

thf(func_def_2365,type,
    sK863: ( int > int > $o ) > int ).

thf(func_def_2366,type,
    sK864: ( int > int > $o ) > int ).

thf(func_def_2367,type,
    sK865: ( int > int > $o ) > int ).

thf(func_def_2368,type,
    sK866: set_nat > ( nat > int ) > ( int > int > $o ) > ( nat > int ) > nat ).

thf(func_def_2369,type,
    sK867: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_2370,type,
    sK868: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > ( produc4166570645942440679at_nat > rat ) > produc4166570645942440679at_nat ).

thf(func_def_2371,type,
    sK869: set_list_nat > list_nat ).

thf(func_def_2372,type,
    sK870: set_se6260736226359567993nt_int > ( set_Pr958786334691620121nt_int > rat ) > rat > set_Pr958786334691620121nt_int ).

thf(func_def_2373,type,
    sK871: ( $o > $o ) > product_unit ).

thf(func_def_2374,type,
    sK872: rat > rat ).

thf(func_def_2375,type,
    sK873: $o > product_unit ).

thf(func_def_2376,type,
    sK874: set_Pr4532377907799695533_nat_o > ( set_Pr4532377907799695533_nat_o > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2377,type,
    sK875: set_Pr4532377907799695533_nat_o > ( set_Pr4532377907799695533_nat_o > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_2378,type,
    sK876: set_int > set_int > ( int > code_integer ) > int ).

thf(func_def_2379,type,
    sK877: set_int > ( int > code_integer ) > set_int > int ).

thf(func_def_2380,type,
    sK878: ( set_int > $o ) > int ).

thf(func_def_2381,type,
    sK879: ( set_int > $o ) > set_int ).

thf(func_def_2382,type,
    sK880: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_2383,type,
    sK881: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_2384,type,
    sK882: set_int > ( int > nat ) > int ).

thf(func_def_2385,type,
    sK883: code_natural > code_natural ).

thf(func_def_2386,type,
    sK884: ( nat > int ) > set_nat > nat > nat ).

thf(func_def_2387,type,
    sK885: ( literal > literal > $o ) > literal ).

thf(func_def_2388,type,
    sK886: ( literal > literal > $o ) > literal ).

thf(func_def_2389,type,
    sK887: ( literal > literal > $o ) > literal ).

thf(func_def_2390,type,
    sK888: ( literal > literal > $o ) > literal ).

thf(func_def_2391,type,
    sK889: ( literal > literal > $o ) > literal ).

thf(func_def_2392,type,
    sK890: ( literal > rat ) > literal ).

thf(func_def_2393,type,
    sK891: ( literal > rat ) > literal ).

thf(func_def_2394,type,
    sK892: ( nat > literal ) > nat ).

thf(func_def_2395,type,
    sK893: ( nat > literal ) > nat ).

thf(func_def_2396,type,
    sK894: ( nat > int ) > set_nat > nat ).

thf(func_def_2397,type,
    sK895: nat > nat ).

thf(func_def_2398,type,
    sK896: $o > ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_2399,type,
    sK897: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_2400,type,
    sK898: produc7773217078559923341nt_int > int ).

thf(func_def_2401,type,
    sK899: produc7773217078559923341nt_int > int ).

thf(func_def_2402,type,
    sK900: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2403,type,
    sK901: produc1908205239877642774nteger > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > int > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2404,type,
    sK902: produc1908205239877642774nteger > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > int > produc8923325533196201883nteger ).

thf(func_def_2405,type,
    sK903: ( literal > $o ) > set_list_char > ( list_char > literal ) > list_char ).

thf(func_def_2406,type,
    sK904: rat > rat > rat > rat ).

thf(func_def_2407,type,
    sK905: ( int > rat ) > int ).

thf(func_def_2408,type,
    sK906: ( int > rat ) > int ).

thf(func_def_2409,type,
    sK907: ( set_nat > nat > $o ) > set_nat > ( nat > nat ) > set_set_nat > nat ).

thf(func_def_2410,type,
    sK908: set_nat > nat ).

thf(func_def_2411,type,
    sK909: set_set_nat > ( set_nat > rat ) > set_nat ).

thf(func_def_2412,type,
    sK910: produc6576344331059438605e_term > product_prod_int_int > ( int > option6357759511663192854e_term ) > int ).

thf(func_def_2413,type,
    sK911: produc6576344331059438605e_term > product_prod_int_int > ( int > option6357759511663192854e_term ) > int ).

thf(func_def_2414,type,
    sK912: set_Pr958786334691620121nt_int > ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_2415,type,
    sK913: ( set_nat > $o ) > set_nat > nat ).

thf(func_def_2416,type,
    sK914: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2417,type,
    sK915: set_Pr4329608150637261639at_nat > ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2418,type,
    sK916: ( produc2732055786443039994et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2419,type,
    sK917: ( produc2732055786443039994et_nat > $o ) > produc3658429121746597890et_nat ).

thf(func_def_2420,type,
    sK918: ( produc2732055786443039994et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2421,type,
    sK919: set_Pr4532377907799695533_nat_o > ( set_Pr4532377907799695533_nat_o > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2422,type,
    sK920: set_Pr4532377907799695533_nat_o > ( set_Pr4532377907799695533_nat_o > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_2423,type,
    sK921: set_int > set_int > ( int > nat ) > set_nat > set_nat > int ).

thf(func_def_2424,type,
    sK922: set_int > ( int > assn ) > int ).

thf(func_def_2425,type,
    sK923: set_nat > ( int > assn ) > ( nat > int ) > ( nat > assn ) > nat ).

thf(func_def_2426,type,
    sK924: set_nat > ( nat > assn ) > nat ).

thf(func_def_2427,type,
    sK925: set_nat > ( nat > int ) > set_int > set_nat > set_int > nat ).

thf(func_def_2428,type,
    sK926: set_nat > ( nat > int ) > set_nat > ( int > nat ) > nat ).

thf(func_def_2429,type,
    sK927: ( nat > int ) > set_int > ( int > nat ) > set_int > int ).

thf(func_def_2430,type,
    sK928: ( produc2732055786443039994et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2431,type,
    sK929: ( produc2732055786443039994et_nat > $o ) > produc3925858234332021118et_nat ).

thf(func_def_2432,type,
    sK930: set_se6260736226359567993nt_int > ( set_se6260736226359567993nt_int > $o ) > set_se6260736226359567993nt_int ).

thf(func_def_2433,type,
    sK931: set_se6260736226359567993nt_int > ( set_se6260736226359567993nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_2434,type,
    sK932: set_nat > set_nat ).

thf(func_def_2435,type,
    sK933: set_nat > nat ).

thf(func_def_2436,type,
    sK934: set_int > ( int > int ) > ( int > int ) > int ).

thf(func_def_2437,type,
    sK935: ( set_literal > $o ) > set_literal ).

thf(func_def_2438,type,
    sK936: ( set_literal > $o ) > literal ).

thf(func_def_2439,type,
    sK937: assn > assn > produc3658429121746597890et_nat ).

thf(func_def_2440,type,
    sK938: assn > assn > produc3658429121746597890et_nat ).

thf(func_def_2441,type,
    sK939: ( rat > nat ) > rat ).

thf(func_def_2442,type,
    sK940: ( rat > nat ) > rat ).

thf(func_def_2443,type,
    sK941: ( int > code_integer ) > set_int > int ).

thf(func_def_2444,type,
    sK942: ( produc3658429121746597890et_nat > $o ) > $o > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_2445,type,
    sK943: ( produc3658429121746597890et_nat > $o ) > $o > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_2446,type,
    sK944: ( nat > code_integer ) > ( nat > code_integer ) > set_nat > nat ).

thf(func_def_2447,type,
    sK945: int > nat ).

thf(func_def_2448,type,
    sK946: int > nat ).

thf(func_def_2449,type,
    sK947: set_Pr958786334691620121nt_int ).

thf(func_def_2450,type,
    sK948: ( int > nat ) > set_int > set_int > int ).

thf(func_def_2451,type,
    sK949: set_int > ( int > rat ) > set_int > int ).

thf(func_def_2452,type,
    sK950: produc8763457246119570046nteger > code_integer ).

thf(func_def_2453,type,
    sK951: produc8763457246119570046nteger > code_integer ).

thf(func_def_2454,type,
    sK952: produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_2455,type,
    sK953: set_int > ( int > nat ) > int ).

thf(func_def_2456,type,
    sK954: ( int > int ) > ( int > int ) > set_int > set_int > int ).

thf(func_def_2457,type,
    sK955: ( int > nat ) > ( int > nat ) > ( int > int ) > set_int > int ).

thf(func_def_2458,type,
    sK956: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_2459,type,
    sK957: set_int > ( int > nat ) > int ).

thf(func_def_2460,type,
    sK958: ( int > int ) > set_int > set_int > ( int > int ) > int ).

thf(func_def_2461,type,
    sK959: set_int > set_int > set_int > ( int > int ) > set_int > int ).

thf(func_def_2462,type,
    sK960: ( int > nat ) > set_int > set_int > int ).

thf(func_def_2463,type,
    sK961: code_natural > code_natural ).

thf(func_def_2464,type,
    sK962: ( set_Pr4532377907799695533_nat_o > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2465,type,
    sK963: ( set_Pr4532377907799695533_nat_o > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_2466,type,
    sK964: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2467,type,
    sK965: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > product_prod_int_int ).

thf(func_def_2468,type,
    sK966: set_Pr3286484037609594932et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2469,type,
    sK967: set_Pr3286484037609594932et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat ).

thf(func_def_2470,type,
    sK968: set_nat > set_nat > ( nat > nat ) > nat ).

thf(func_def_2471,type,
    sK969: ( nat > int ) > set_nat > ( nat > int ) > nat ).

thf(func_def_2472,type,
    sK970: ( rat > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_2473,type,
    sK971: ( int > int ) > set_int > int ).

thf(func_def_2474,type,
    sK972: ( int > int ) > int > set_int > int > int ).

thf(func_def_2475,type,
    sK973: ( nat > $o ) > nat ).

thf(func_def_2476,type,
    sK974: ( code_natural > $o ) > nat ).

thf(func_def_2477,type,
    sK975: ( set_se6260736226359567993nt_int > $o ) > set_se6260736226359567993nt_int ).

thf(func_def_2478,type,
    sK976: ( set_se6260736226359567993nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_2479,type,
    sK977: ( set_se6260736226359567993nt_int > $o ) > set_se6260736226359567993nt_int ).

thf(func_def_2480,type,
    sK978: set_Pr1261947904930325089at_nat > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_2481,type,
    sK979: ( int > int ) > ( int > int ) > set_int > int ).

thf(func_def_2482,type,
    sK980: ( int > int ) > set_int > set_int > int ).

thf(func_def_2483,type,
    sK981: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2484,type,
    sK982: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2485,type,
    sK983: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2486,type,
    sK984: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2487,type,
    sK985: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2488,type,
    sK986: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2489,type,
    sK987: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2490,type,
    sK988: rat > rat > rat > rat ).

thf(func_def_2491,type,
    sK989: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > nat > produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_2492,type,
    sK990: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > nat > produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2493,type,
    sK991: ( int > nat ) > set_int > int ).

thf(func_def_2494,type,
    sK992: ( set_nat > nat ) > ( nat > set_nat > $o ) > set_set_nat > set_nat > set_nat ).

thf(func_def_2495,type,
    sK993: ( int > rat ) > set_int > ( int > rat ) > int ).

thf(func_def_2496,type,
    sK994: ( int > rat ) > set_int > set_int > int ).

thf(func_def_2497,type,
    sK995: int > set_int > int > int ).

thf(func_def_2498,type,
    sK996: int > set_int > int > int ).

thf(func_def_2499,type,
    sK997: produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2500,type,
    sK998: produc2732055786443039994et_nat > produc3925858234332021118et_nat ).

thf(func_def_2501,type,
    sK999: produc2732055786443039994et_nat > set_nat ).

thf(func_def_2502,type,
    sK1000: produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2503,type,
    sK1001: produc2732055786443039994et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_2504,type,
    sK1002: produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2505,type,
    sK1003: ( int > $o ) > int > int ).

thf(func_def_2506,type,
    sK1004: set_nat ).

thf(func_def_2507,type,
    sK1005: set_nat ).

thf(func_def_2508,type,
    sK1006: set_nat ).

thf(func_def_2509,type,
    sK1007: ( set_o > $o ) > set_o ).

thf(func_def_2510,type,
    sK1008: ( set_o > $o ) > $o ).

thf(func_def_2511,type,
    sK1009: set_nat > assn > heap_e7401611519738050253t_unit > assn > heap_e7401611519738050253t_unit ).

thf(func_def_2512,type,
    sK1010: set_nat > assn > heap_e7401611519738050253t_unit > assn > set_nat ).

thf(func_def_2513,type,
    sK1011: rat > ( set_Pr958786334691620121nt_int > rat ) > set_Pr958786334691620121nt_int ).

thf(func_def_2514,type,
    sK1012: int > set_int > int > int ).

thf(func_def_2515,type,
    sK1013: int > set_int > int > int ).

thf(func_def_2516,type,
    sK1014: ( int > int ) > set_int > int ).

thf(func_def_2517,type,
    sK1015: ( set_nat > rat ) > ( set_set_nat > $o ) > set_nat ).

thf(func_def_2518,type,
    sK1016: ( set_nat > rat ) > ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2519,type,
    sK1017: set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_2520,type,
    sK1018: ( int > int > int ) > int ).

thf(func_def_2521,type,
    sK1019: ( int > int > int ) > int ).

thf(func_def_2522,type,
    sK1020: ( int > int > int ) > int ).

thf(func_def_2523,type,
    sK1021: ( int > int > int ) > int ).

thf(func_def_2524,type,
    sK1022: ( int > int > int ) > int ).

thf(func_def_2525,type,
    sK1023: ( int > int > int ) > int ).

thf(func_def_2526,type,
    sK1024: ( int > int > int ) > int ).

thf(func_def_2527,type,
    sK1025: set_o > $o ).

thf(func_def_2528,type,
    sK1026: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_2529,type,
    sK1027: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_2530,type,
    sK1028: ( set_Pr4329608150637261639at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_2531,type,
    sK1029: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2532,type,
    sK1030: ( set_Pr4329608150637261639at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_2533,type,
    sK1031: set_set_nat > set_nat ).

thf(func_def_2534,type,
    sK1032: set_set_nat > set_nat ).

thf(func_def_2535,type,
    sK1033: set_nat > set_nat > ( nat > nat ) > nat ).

thf(func_def_2536,type,
    sK1034: set_nat > ( nat > nat ) > set_nat > nat ).

thf(func_def_2537,type,
    sK1035: set_nat > ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_2538,type,
    sK1036: set_set_nat > ( set_set_nat > $o ) > set_nat ).

thf(func_def_2539,type,
    sK1037: set_set_nat > ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2540,type,
    sK1038: ( int > $o ) > int ).

thf(func_def_2541,type,
    sK1039: ( int > $o ) > int ).

thf(func_def_2542,type,
    sK1040: ( nat > nat ) > nat ).

thf(func_def_2543,type,
    sK1041: ( nat > nat ) > nat ).

thf(func_def_2544,type,
    sK1042: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > code_integer ) > product_prod_nat_nat ).

thf(func_def_2545,type,
    sK1043: ( nat > rat ) > set_nat > nat ).

thf(func_def_2546,type,
    sK1044: ( set_nat > $o ) > ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2547,type,
    sK1045: rat > rat ).

thf(func_def_2548,type,
    sK1046: set_int > ( int > code_integer ) > set_int > int ).

thf(func_def_2549,type,
    sK1047: set_int > ( int > code_integer ) > set_int > int ).

thf(func_def_2550,type,
    sK1048: ( rat > int ) > rat ).

thf(func_def_2551,type,
    sK1049: ( rat > int ) > rat ).

thf(func_def_2552,type,
    sK1050: ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2553,type,
    sK1051: ( set_set_nat > $o ) > set_nat ).

thf(func_def_2554,type,
    sK1052: ( set_set_nat > $o ) > set_nat ).

thf(func_def_2555,type,
    sK1053: ( nat > nat ) > set_nat > set_nat > nat ).

thf(func_def_2556,type,
    sK1054: ( set_nat > $o ) > set_nat ).

thf(func_def_2557,type,
    sK1055: set_nat > nat ).

thf(func_def_2558,type,
    sK1056: ( rat > int ) > rat ).

thf(func_def_2559,type,
    sK1057: ( rat > int ) > rat ).

thf(func_def_2560,type,
    sK1058: ( nat > code_integer ) > set_nat > set_nat > nat ).

thf(func_def_2561,type,
    sK1059: ( int > nat ) > int ).

thf(func_def_2562,type,
    sK1060: ( int > nat ) > int ).

thf(func_def_2563,type,
    sK1061: set_o > ( $o > nat ) > ( $o > nat ) > $o ).

thf(func_def_2564,type,
    sK1062: option_num > num > num ).

thf(func_def_2565,type,
    sK1063: option_num > num > num > num ).

thf(func_def_2566,type,
    sK1064: option_num > num > num > num ).

thf(func_def_2567,type,
    sK1065: num > num > option_num > num ).

thf(func_def_2568,type,
    sK1066: num > option_num > num > num ).

thf(func_def_2569,type,
    sK1067: num > option_num > num > num ).

thf(func_def_2570,type,
    sK1068: option_num > num > num > num ).

thf(func_def_2571,type,
    sK1069: option_num > num > num > num ).

thf(func_def_2572,type,
    sK1070: option_num > num > num ).

thf(func_def_2573,type,
    sK1071: num > num > option_num > num ).

thf(func_def_2574,type,
    sK1072: num > num > option_num > num ).

thf(func_def_2575,type,
    sK1073: num > num > option_num > num ).

thf(func_def_2576,type,
    sK1074: ( int > int > $o ) > int > ( int > int > $o ) > int > int ).

thf(func_def_2577,type,
    sK1075: ( int > int > $o ) > int > ( int > int > $o ) > int > int ).

thf(func_def_2578,type,
    sK1076: ( int > rat ) > set_int > int ).

thf(func_def_2579,type,
    sK1077: ( int > $o ) > set_o > set_int > $o ).

thf(func_def_2580,type,
    sK1078: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > nat ).

thf(func_def_2581,type,
    sK1079: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > nat ).

thf(func_def_2582,type,
    sK1080: set_Pr9222295170931077689nt_int > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2583,type,
    sK1081: set_Pr9222295170931077689nt_int > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_2584,type,
    sK1082: ( filter_nat > rat ) > filter_nat ).

thf(func_def_2585,type,
    sK1083: ( filter_nat > rat ) > filter_nat ).

thf(func_def_2586,type,
    sK1084: ( int > assn ) > set_int > int ).

thf(func_def_2587,type,
    sK1085: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_2588,type,
    sK1086: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_2589,type,
    sK1087: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_2590,type,
    sK1088: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_2591,type,
    sK1089: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_2592,type,
    sK1090: ( rat > nat ) > rat ).

thf(func_def_2593,type,
    sK1091: ( rat > nat ) > rat ).

thf(func_def_2594,type,
    sK1092: ( int > int ) > set_int > set_int > int ).

thf(func_def_2595,type,
    sK1093: set_int > set_int > ( int > int ) > int ).

thf(func_def_2596,type,
    sK1094: ( int > code_integer ) > set_int > int ).

thf(func_def_2597,type,
    sK1095: ( set_se6260736226359567993nt_int > $o ) > set_se6260736226359567993nt_int > set_se6260736226359567993nt_int ).

thf(func_def_2598,type,
    sK1096: set_int > ( int > nat ) > ( int > nat ) > int ).

thf(func_def_2599,type,
    sK1097: ( nat > $o ) > nat ).

thf(func_def_2600,type,
    sK1098: $o > set_o > ( $o > int ) > $o ).

thf(func_def_2601,type,
    sK1099: product_prod_int_int > ( $o > $o ) > ( int > int > $o ) > int ).

thf(func_def_2602,type,
    sK1100: product_prod_int_int > ( $o > $o ) > ( int > int > $o ) > int ).

thf(func_def_2603,type,
    sK1101: ( $o > rat ) > ( set_o > $o ) > $o ).

thf(func_def_2604,type,
    sK1102: ( $o > rat ) > ( set_o > $o ) > set_o ).

thf(func_def_2605,type,
    sK1103: set_int > ( nat > int ) > set_nat > int ).

thf(func_def_2606,type,
    sK1104: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_int ) > int > product_prod_int_int ).

thf(func_def_2607,type,
    sK1105: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_int ) > int > int > option6357759511663192854e_term ).

thf(func_def_2608,type,
    sK1106: ( nat > int ) > nat ).

thf(func_def_2609,type,
    sK1107: ( nat > int ) > nat ).

thf(func_def_2610,type,
    sK1108: ( rat > rat ) > rat ).

thf(func_def_2611,type,
    sK1109: ( rat > rat ) > rat ).

thf(func_def_2612,type,
    sK1110: ( rat > int ) > rat ).

thf(func_def_2613,type,
    sK1111: ( rat > int ) > rat ).

thf(func_def_2614,type,
    sK1112: set_nat > ( nat > code_integer ) > nat ).

thf(func_def_2615,type,
    sK1113: ( int > int ) > set_int > int ).

thf(func_def_2616,type,
    sK1114: ( nat > nat ) > nat ).

thf(func_def_2617,type,
    sK1115: ( nat > literal ) > nat ).

thf(func_def_2618,type,
    sK1116: ( nat > literal ) > nat ).

thf(func_def_2619,type,
    sK1117: ( rat > nat ) > rat ).

thf(func_def_2620,type,
    sK1118: ( rat > nat ) > rat ).

thf(func_def_2621,type,
    sK1119: int > nat ).

thf(func_def_2622,type,
    sK1120: int > nat ).

thf(func_def_2623,type,
    sK1121: set_nat > ( nat > rat ) > nat ).

thf(func_def_2624,type,
    sK1122: int > nat ).

thf(func_def_2625,type,
    sK1123: int > nat ).

thf(func_def_2626,type,
    sK1124: set_int > set_int > ( nat > int ) > ( int > nat ) > int ).

thf(func_def_2627,type,
    sK1125: set_int > set_int > ( int > nat ) > set_nat > set_nat > int ).

thf(func_def_2628,type,
    sK1126: set_nat > set_nat > ( nat > int ) > set_int > set_int > nat ).

thf(func_def_2629,type,
    sK1127: set_nat > ( nat > code_integer ) > nat ).

thf(func_def_2630,type,
    sK1128: ( int > nat ) > set_nat > set_nat > ( nat > int ) > nat ).

thf(func_def_2631,type,
    sK1129: ( int > nat ) > set_int > ( nat > code_integer ) > ( int > code_integer ) > int ).

thf(func_def_2632,type,
    sK1130: set_int > ( int > code_integer ) > int ).

thf(func_def_2633,type,
    sK1131: set_o > $o ).

thf(func_def_2634,type,
    sK1132: int > int > set_int > int ).

thf(func_def_2635,type,
    sK1133: int > int > set_int > int ).

thf(func_def_2636,type,
    sK1134: ( set_nat > set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2637,type,
    sK1135: ( set_nat > $o ) > set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_2638,type,
    sK1136: produc7773217078559923341nt_int > int ).

thf(func_def_2639,type,
    sK1137: produc7773217078559923341nt_int > int ).

thf(func_def_2640,type,
    sK1138: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_2641,type,
    sK1139: list_char > $o ).

thf(func_def_2642,type,
    sK1140: list_char > $o ).

thf(func_def_2643,type,
    sK1141: list_char > $o ).

thf(func_def_2644,type,
    sK1142: list_nat > nat > list_nat ).

thf(func_def_2645,type,
    sK1143: list_nat > nat > nat ).

thf(func_def_2646,type,
    sK1144: ( nat > literal ) > nat ).

thf(func_def_2647,type,
    sK1145: ( nat > literal ) > nat ).

thf(func_def_2648,type,
    sK1146: rat > set_Pr958786334691620121nt_int ).

thf(func_def_2649,type,
    sK1147: set_nat > ( int > nat > $o ) > set_int > int ).

thf(func_def_2650,type,
    sK1148: set_nat > ( int > nat > $o ) > set_int > nat ).

thf(func_def_2651,type,
    sK1149: set_o > set_o ).

thf(func_def_2652,type,
    sK1150: set_o > $o ).

thf(func_def_2653,type,
    sK1151: num > option_num > num > num ).

thf(func_def_2654,type,
    sK1152: num > option_num > num > num ).

thf(func_def_2655,type,
    sK1153: num > option_num > num > num ).

thf(func_def_2656,type,
    sK1154: num > option_num > num > num ).

thf(func_def_2657,type,
    sK1155: option_num > num > num > num ).

thf(func_def_2658,type,
    sK1156: option_num > num > num > num ).

thf(func_def_2659,type,
    sK1157: num > num > option_num > num ).

thf(func_def_2660,type,
    sK1158: num > option_num > num ).

thf(func_def_2661,type,
    sK1159: num > option_num > num ).

thf(func_def_2662,type,
    sK1160: num > option_num > num > num ).

thf(func_def_2663,type,
    sK1161: num > option_num > num > num ).

thf(func_def_2664,type,
    sK1162: num > num > option_num > num ).

thf(func_def_2665,type,
    sK1163: ( set_Pr4329608150637261639at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_2666,type,
    sK1164: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2667,type,
    sK1165: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2668,type,
    sK1166: num > num > num > num ).

thf(func_def_2669,type,
    sK1167: num > num > num > num ).

thf(func_def_2670,type,
    sK1168: num > num > num > num ).

thf(func_def_2671,type,
    sK1169: num > num > num > num ).

thf(func_def_2672,type,
    sK1170: num > num > num > num ).

thf(func_def_2673,type,
    sK1171: num > num > num > num ).

thf(func_def_2674,type,
    sK1172: num > num > num > num ).

thf(func_def_2675,type,
    sK1173: num > num > num > num ).

thf(func_def_2676,type,
    sK1174: num > num > num ).

thf(func_def_2677,type,
    sK1175: num > num > num ).

thf(func_def_2678,type,
    sK1176: num > num > num > num ).

thf(func_def_2679,type,
    sK1177: num > num > num > num ).

thf(func_def_2680,type,
    sK1178: ( literal > literal ) > literal ).

thf(func_def_2681,type,
    sK1179: ( literal > literal ) > literal ).

thf(func_def_2682,type,
    sK1180: int > ( int > $o ) > int ).

thf(func_def_2683,type,
    sK1181: int > ( int > $o ) > int ).

thf(func_def_2684,type,
    sK1182: ( set_int > $o ) > int ).

thf(func_def_2685,type,
    sK1183: ( set_int > $o ) > set_int ).

thf(func_def_2686,type,
    sK1184: ( code_integer > $o ) > int ).

thf(func_def_2687,type,
    sK1185: set_o > ( $o > int ) > ( $o > int ) > $o ).

thf(func_def_2688,type,
    sK1186: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2689,type,
    sK1187: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2690,type,
    sK1188: ( int > assn ) > ( nat > assn ) > ( int > nat ) > set_int > int ).

thf(func_def_2691,type,
    sK1189: ( nat > int ) > set_int > set_int > set_nat > set_nat > nat ).

thf(func_def_2692,type,
    sK1190: set_nat > ( nat > assn ) > nat ).

thf(func_def_2693,type,
    sK1191: ( int > nat ) > ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_2694,type,
    sK1192: set_nat > set_int > set_nat > set_int > ( int > nat ) > int ).

thf(func_def_2695,type,
    sK1193: set_int > ( int > assn ) > int ).

thf(func_def_2696,type,
    sK1194: set_int > set_int > ( nat > int ) > ( int > nat ) > int ).

thf(func_def_2697,type,
    sK1195: ( set_set_nat > $o ) > set_nat ).

thf(func_def_2698,type,
    sK1196: ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2699,type,
    sK1197: ( $o > $o ) > $o > ( $o > $o ) > $o ).

thf(func_def_2700,type,
    sK1198: ( produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat > ( produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_2701,type,
    sK1199: set_Pr1261947904930325089at_nat ).

thf(func_def_2702,type,
    sK1200: set_Pr1261947904930325089at_nat ).

thf(func_def_2703,type,
    sK1201: set_Pr1261947904930325089at_nat ).

thf(func_def_2704,type,
    sK1202: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_2705,type,
    sK1203: ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > assn ).

thf(func_def_2706,type,
    sK1204: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_2707,type,
    sK1205: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > assn ).

thf(func_def_2708,type,
    sK1206: rat > rat > rat ).

thf(func_def_2709,type,
    sK1207: ( set_nat > $o ) > nat ).

thf(func_def_2710,type,
    sK1208: ( set_nat > $o ) > set_nat ).

thf(func_def_2711,type,
    sK1209: set_nat > ( nat > int ) > set_nat > nat ).

thf(func_def_2712,type,
    sK1210: set_int > set_int > ( int > code_integer ) > int ).

thf(func_def_2713,type,
    sK1211: set_int > ( int > code_integer ) > ( int > code_integer ) > int ).

thf(func_def_2714,type,
    sK1212: set_o > ( $o > nat ) > ( $o > nat ) > $o ).

thf(func_def_2715,type,
    sK1213: set_rat > rat ).

thf(func_def_2716,type,
    sK1214: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2717,type,
    sK1215: set_int > product_prod_int_int > int ).

thf(func_def_2718,type,
    sK1216: set_o > ( set_o > $o ) > $o ).

thf(func_def_2719,type,
    sK1217: set_o > ( set_o > $o ) > set_o ).

thf(func_def_2720,type,
    sK1218: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2721,type,
    sK1219: set_Pr1261947904930325089at_nat > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2722,type,
    sK1220: set_nat > ( nat > assn ) > nat ).

thf(func_def_2723,type,
    sK1221: produc2285326912895808259nt_int > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_2724,type,
    sK1222: produc2285326912895808259nt_int > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2725,type,
    sK1223: produc3925858234332021118et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_set_nat ) > set_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2726,type,
    sK1224: produc3925858234332021118et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_set_nat ) > set_nat > produc3658429121746597890et_nat ).

thf(func_def_2727,type,
    sK1225: set_int > ( int > int ) > int ).

thf(func_def_2728,type,
    sK1226: set_int > ( int > nat ) > set_nat > nat ).

thf(func_def_2729,type,
    sK1227: set_o > ( $o > int ) > $o ).

thf(func_def_2730,type,
    sK1228: set_nat > ( nat > int ) > set_nat > nat ).

thf(func_def_2731,type,
    sK1229: ( nat > int ) > set_nat > ( nat > int ) > set_nat > nat ).

thf(func_def_2732,type,
    sK1230: ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_2733,type,
    sK1231: set_nat > ( nat > rat ) > nat ).

thf(func_def_2734,type,
    sK1232: ( rat > nat ) > rat ).

thf(func_def_2735,type,
    sK1233: ( rat > nat ) > rat ).

thf(func_def_2736,type,
    sK1234: set_int > int ).

thf(func_def_2737,type,
    sK1235: ( rat > int ) > rat ).

thf(func_def_2738,type,
    sK1236: ( rat > int ) > rat ).

thf(func_def_2739,type,
    sK1237: ( nat > $o ) > nat ).

thf(func_def_2740,type,
    sK1238: list_char > $o ).

thf(func_def_2741,type,
    sK1239: list_char > $o ).

thf(func_def_2742,type,
    sK1240: list_char > $o ).

thf(func_def_2743,type,
    sK1241: set_int > ( int > nat ) > set_int > int ).

thf(func_def_2744,type,
    sK1242: set_int > ( int > nat ) > set_int > int ).

thf(func_def_2745,type,
    sK1243: set_Pr4532377907799695533_nat_o > ( set_Pr4532377907799695533_nat_o > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_2746,type,
    sK1244: set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2747,type,
    sK1245: set_Pr8536935166611901872et_nat > set_Pr8536935166611901872et_nat > produc3925858234332021118et_nat ).

thf(func_def_2748,type,
    sK1246: set_nat > set_nat > set_nat > set_nat ).

thf(func_def_2749,type,
    sK1247: set_nat > set_nat > set_nat > set_nat ).

thf(func_def_2750,type,
    sK1248: produc1908205239877642774nteger > code_integer ).

thf(func_def_2751,type,
    sK1249: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2752,type,
    sK1250: produc1908205239877642774nteger > code_integer ).

thf(func_def_2753,type,
    sK1251: ( literal > nat ) > literal ).

thf(func_def_2754,type,
    sK1252: ( literal > nat ) > literal ).

thf(func_def_2755,type,
    sK1253: ( product_prod_int_int > $o ) > ( int > int > product_prod_int_int ) > product_prod_int_int > int ).

thf(func_def_2756,type,
    sK1254: ( product_prod_int_int > $o ) > ( int > int > product_prod_int_int ) > product_prod_int_int > int ).

thf(func_def_2757,type,
    sK1255: set_o > ( $o > code_integer ) > ( $o > code_integer ) > $o ).

thf(func_def_2758,type,
    sK1256: ( nat > assn ) > set_nat > set_nat > nat ).

thf(func_def_2759,type,
    sK1257: ( nat > assn ) > set_nat > ( nat > assn ) > nat ).

thf(func_def_2760,type,
    sK1258: product_unit > $o ).

thf(func_def_2761,type,
    sK1259: set_set_nat > ( set_nat > rat ) > set_nat ).

thf(func_def_2762,type,
    sK1260: ( set_Pr1261947904930325089at_nat > $o ) > int ).

thf(func_def_2763,type,
    sK1261: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2764,type,
    sK1262: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2765,type,
    sK1263: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2766,type,
    sK1264: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2767,type,
    sK1265: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2768,type,
    sK1266: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2769,type,
    sK1267: ( set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2770,type,
    sK1268: set_int > ( set_int > $o ) > set_int ).

thf(func_def_2771,type,
    sK1269: set_int > ( set_int > $o ) > int ).

thf(func_def_2772,type,
    sK1270: ( int > int > $o ) > int ).

thf(func_def_2773,type,
    sK1271: ( int > int > $o ) > int ).

thf(func_def_2774,type,
    sK1272: ( int > int > $o ) > int ).

thf(func_def_2775,type,
    sK1273: ( int > int > $o ) > int ).

thf(func_def_2776,type,
    sK1274: ( int > int > $o ) > int ).

thf(func_def_2777,type,
    sK1275: ( code_natural > $o ) > code_natural ).

thf(func_def_2778,type,
    sK1276: ( code_natural > $o ) > code_natural ).

thf(func_def_2779,type,
    sK1277: ( code_natural > $o ) > $o ).

thf(func_def_2780,type,
    sK1278: produc3925858234332021118et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2781,type,
    sK1279: produc3925858234332021118et_nat > produc3658429121746597890et_nat ).

thf(func_def_2782,type,
    sK1280: set_int > ( int > rat ) > set_int > int ).

thf(func_def_2783,type,
    sK1281: ( int > rat ) > set_int > set_int > int ).

thf(func_def_2784,type,
    sK1282: ( int > rat ) > set_int > ( int > rat ) > set_int > int ).

thf(func_def_2785,type,
    sK1283: nat ).

thf(func_def_2786,type,
    sK1284: nat ).

thf(func_def_2787,type,
    sK1285: nat ).

thf(func_def_2788,type,
    sK1286: set_int > ( int > int ) > set_int > int ).

thf(func_def_2789,type,
    sK1287: set_int > ( int > rat ) > set_int > int ).

thf(func_def_2790,type,
    sK1288: set_int > ( set_int > $o ) > set_int ).

thf(func_def_2791,type,
    sK1289: list_nat > nat > nat ).

thf(func_def_2792,type,
    sK1290: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2793,type,
    sK1291: set_int > set_int > ( int > int ) > int ).

thf(func_def_2794,type,
    sK1292: set_int > ( int > int ) > set_int > int ).

thf(func_def_2795,type,
    sK1293: set_int > ( int > int ) > set_int > ( int > int ) > int ).

thf(func_def_2796,type,
    sK1294: ( nat > int ) > nat ).

thf(func_def_2797,type,
    sK1295: ( nat > int ) > nat ).

thf(func_def_2798,type,
    sK1296: ( product_prod_nat_nat > $o ) > product_prod_nat_nat > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2799,type,
    sK1297: set_list_nat > list_nat ).

thf(func_def_2800,type,
    sK1298: ( produc3658429121746597890et_nat > $o ) > $o > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_2801,type,
    sK1299: ( produc3658429121746597890et_nat > $o ) > $o > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_2802,type,
    sK1300: set_nat > ( set_nat > $o > $o ) > ( set_nat > $o > $o ) > $o > set_nat ).

thf(func_def_2803,type,
    sK1301: set_nat > ( set_nat > $o > $o ) > ( set_nat > $o > $o ) > $o > $o ).

thf(func_def_2804,type,
    sK1302: nat > set_nat > nat ).

thf(func_def_2805,type,
    sK1303: int > set_int > int > int ).

thf(func_def_2806,type,
    sK1304: int > set_int > int > int ).

thf(func_def_2807,type,
    sK1305: set_o > product_unit > ( $o > product_unit ) > $o ).

thf(func_def_2808,type,
    sK1306: nat > nat > nat ).

thf(func_def_2809,type,
    sK1307: set_int > int ).

thf(func_def_2810,type,
    sK1308: ( assn > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2811,type,
    sK1309: ( $o > nat > $o ) > nat > ( $o > nat > $o ) > $o > nat ).

thf(func_def_2812,type,
    sK1310: ( $o > nat > $o ) > nat > ( $o > nat > $o ) > $o > $o ).

thf(func_def_2813,type,
    sK1311: set_int > ( int > nat ) > set_int > int ).

thf(func_def_2814,type,
    sK1312: ( literal > int ) > literal ).

thf(func_def_2815,type,
    sK1313: ( literal > int ) > literal ).

thf(func_def_2816,type,
    sK1314: produc1908205239877642774nteger > int > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2817,type,
    sK1315: produc1908205239877642774nteger > int > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > produc8923325533196201883nteger ).

thf(func_def_2818,type,
    sK1316: set_int > ( int > assn ) > set_int > int ).

thf(func_def_2819,type,
    sK1317: code_natural > nat ).

thf(func_def_2820,type,
    sK1318: nat > nat > nat ).

thf(func_def_2821,type,
    sK1319: ( int > product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > set_int > int ).

thf(func_def_2822,type,
    sK1320: ( int > product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > set_int > product_prod_nat_nat ).

thf(func_def_2823,type,
    sK1321: set_nat > ( nat > nat ) > set_nat > nat ).

thf(func_def_2824,type,
    sK1322: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_2825,type,
    sK1323: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2826,type,
    sK1324: ( nat > int ) > set_nat > nat ).

thf(func_def_2827,type,
    sK1325: ( set_o > $o ) > set_o > set_o ).

thf(func_def_2828,type,
    sK1326: set_int > set_int > ( int > rat ) > int ).

thf(func_def_2829,type,
    sK1327: nat > code_natural ).

thf(func_def_2830,type,
    sK1328: ( set_nat > code_integer ) > set_set_nat > set_nat ).

thf(func_def_2831,type,
    sK1329: produc2732055786443039994et_nat > produc3925858234332021118et_nat ).

thf(func_def_2832,type,
    sK1330: produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2833,type,
    sK1331: ( int > rat ) > ( int > rat ) > set_int > int ).

thf(func_def_2834,type,
    sK1332: set_o > set_o > $o ).

thf(func_def_2835,type,
    sK1333: set_set_nat > ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2836,type,
    sK1334: set_nat > ( nat > int ) > nat ).

thf(func_def_2837,type,
    sK1335: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_2838,type,
    sK1336: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_2839,type,
    sK1337: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_2840,type,
    sK1338: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_2841,type,
    sK1339: int > nat ).

thf(func_def_2842,type,
    sK1340: set_o > ( $o > nat ) > $o ).

thf(func_def_2843,type,
    sK1341: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_2844,type,
    sK1342: ( nat > nat ) > nat ).

thf(func_def_2845,type,
    sK1343: ( nat > nat ) > nat ).

thf(func_def_2846,type,
    sK1344: set_nat > set_nat > ( nat > code_integer ) > nat ).

thf(func_def_2847,type,
    sK1345: set_nat > ( nat > code_integer ) > ( nat > code_integer ) > nat ).

thf(func_def_2848,type,
    sK1346: ( nat > nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).

thf(func_def_2849,type,
    sK1347: ( nat > nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).

thf(func_def_2850,type,
    sK1348: set_nat > produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_set_nat ) > product_prod_int_int ).

thf(func_def_2851,type,
    sK1349: set_nat > produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_set_nat ) > int > option6357759511663192854e_term ).

thf(func_def_2852,type,
    sK1350: set_int > ( int > rat ) > int ).

thf(func_def_2853,type,
    sK1351: int > nat ).

thf(func_def_2854,type,
    sK1352: set_nat > set_nat > ( nat > rat ) > nat ).

thf(func_def_2855,type,
    sK1353: set_nat > ( nat > rat ) > nat ).

thf(func_def_2856,type,
    sK1354: ( nat > int ) > ( set_nat > $o ) > nat ).

thf(func_def_2857,type,
    sK1355: ( nat > int ) > ( set_nat > $o ) > set_nat ).

thf(func_def_2858,type,
    sK1356: ( set_int > $o ) > ( int > rat ) > set_int ).

thf(func_def_2859,type,
    sK1357: ( set_int > $o ) > ( int > rat ) > int ).

thf(func_def_2860,type,
    sK1358: ( int > nat > $o ) > ( int > nat > $o ) > nat > int > nat ).

thf(func_def_2861,type,
    sK1359: ( int > nat > $o ) > ( int > nat > $o ) > nat > int > int ).

thf(func_def_2862,type,
    sK1360: ( rat > rat ) > rat ).

thf(func_def_2863,type,
    sK1361: ( rat > rat ) > rat ).

thf(func_def_2864,type,
    sK1362: ( nat > rat ) > set_nat > nat ).

thf(func_def_2865,type,
    sK1363: set_int > ( int > rat ) > ( int > rat ) > int ).

thf(func_def_2866,type,
    sK1364: set_int > set_int > ( int > rat ) > int ).

thf(func_def_2867,type,
    sK1365: set_nat > ( nat > rat ) > nat > nat ).

thf(func_def_2868,type,
    sK1366: int > int ).

thf(func_def_2869,type,
    sK1367: set_o > $o ).

thf(func_def_2870,type,
    sK1368: ( rat > rat > $o ) > rat ).

thf(func_def_2871,type,
    sK1369: ( rat > rat > $o ) > rat ).

thf(func_def_2872,type,
    sK1370: ( rat > rat > $o ) > rat ).

thf(func_def_2873,type,
    sK1371: ( rat > rat > $o ) > rat ).

thf(func_def_2874,type,
    sK1372: ( rat > rat > $o ) > rat ).

thf(func_def_2875,type,
    sK1373: ( nat > $o ) > nat ).

thf(func_def_2876,type,
    sK1374: ( int > int > $o ) > int ).

thf(func_def_2877,type,
    sK1375: ( int > int > $o ) > int ).

thf(func_def_2878,type,
    sK1376: ( int > int > $o ) > int ).

thf(func_def_2879,type,
    sK1377: ( int > int > $o ) > int ).

thf(func_def_2880,type,
    sK1378: ( int > int ) > ( int > int ) > set_int > ( int > int > $o ) > int ).

thf(func_def_2881,type,
    sK1379: set_set_nat > set_nat ).

thf(func_def_2882,type,
    sK1380: set_int > ( int > product_prod_nat_nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2883,type,
    sK1381: ( produc3925858234332021118et_nat > $o ) > set_nat ).

thf(func_def_2884,type,
    sK1382: ( produc3925858234332021118et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_2885,type,
    sK1383: ( produc3925858234332021118et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2886,type,
    sK1384: set_set_nat > ( set_nat > code_integer ) > set_nat ).

thf(func_def_2887,type,
    sK1385: code_integer > set_set_nat > code_integer > ( set_nat > code_integer ) > set_nat ).

thf(func_def_2888,type,
    sK1386: set_set_nat > set_int > ( int > set_nat ) > set_nat ).

thf(func_def_2889,type,
    sK1387: ( int > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2890,type,
    sK1388: set_int > int ).

thf(func_def_2891,type,
    sK1389: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2892,type,
    sK1390: int > nat ).

thf(func_def_2893,type,
    sK1391: int > nat ).

thf(func_def_2894,type,
    sK1392: rat > rat > rat ).

thf(func_def_2895,type,
    sK1393: set_nat > set_nat > ( nat > nat > $o ) > nat ).

thf(func_def_2896,type,
    sK1394: set_nat > set_nat > ( nat > nat > $o ) > nat ).

thf(func_def_2897,type,
    sK1395: set_int > int ).

thf(func_def_2898,type,
    sK1396: set_int > int > ( int > $o ) > int ).

thf(func_def_2899,type,
    sK1397: ( int > $o ) > int > int ).

thf(func_def_2900,type,
    sK1398: ( int > $o ) > int > int ).

thf(func_def_2901,type,
    sK1399: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2902,type,
    sK1400: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > nat > produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2903,type,
    sK1401: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > nat > produc2285326912895808259nt_int > product_prod_int_int ).

thf(func_def_2904,type,
    sK1402: set_set_nat > ( set_nat > rat ) > set_nat ).

thf(func_def_2905,type,
    sK1403: ( set_nat > rat ) > set_set_nat > rat > rat > set_nat ).

thf(func_def_2906,type,
    sK1404: ( int > literal ) > int ).

thf(func_def_2907,type,
    sK1405: ( int > literal ) > int ).

thf(func_def_2908,type,
    sK1406: product_prod_nat_nat > nat ).

thf(func_def_2909,type,
    sK1407: product_prod_nat_nat > nat ).

thf(func_def_2910,type,
    sK1408: set_nat > ( nat > code_integer ) > set_nat > nat ).

thf(func_def_2911,type,
    sK1409: set_nat > ( nat > code_integer ) > set_nat > nat ).

thf(func_def_2912,type,
    sK1410: set_nat > ( nat > code_integer ) > ( nat > code_integer ) > set_nat > nat ).

thf(func_def_2913,type,
    sK1411: ( set_Pr4532377907799695533_nat_o > $o ) > set_Pr4532377907799695533_nat_o ).

thf(func_def_2914,type,
    sK1412: ( set_Pr4532377907799695533_nat_o > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_2915,type,
    sK1413: int > int ).

thf(func_def_2916,type,
    sK1414: product_prod_nat_nat > ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2917,type,
    sK1415: set_nat > nat ).

thf(func_def_2918,type,
    sK1416: set_nat > nat ).

thf(func_def_2919,type,
    sK1417: set_set_nat > set_set_nat > ( set_nat > rat ) > set_nat ).

thf(func_def_2920,type,
    sK1418: ( set_nat > rat ) > set_set_nat > set_set_nat > set_nat ).

thf(func_def_2921,type,
    sK1419: ( set_nat > rat ) > set_set_nat > set_set_nat > ( set_nat > rat ) > set_nat ).

thf(func_def_2922,type,
    sK1420: ( $o > rat ) > ( $o > rat ) > set_o > $o ).

thf(func_def_2923,type,
    sK1421: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_2924,type,
    sK1422: ( nat > $o ) > nat ).

thf(func_def_2925,type,
    sK1423: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2926,type,
    sK1424: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2927,type,
    sK1425: set_se6260736226359567993nt_int > ( set_se6260736226359567993nt_int > $o ) > set_se6260736226359567993nt_int ).

thf(func_def_2928,type,
    sK1426: set_se6260736226359567993nt_int > ( set_se6260736226359567993nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_2929,type,
    sK1427: int > int > ( int > int > $o ) > ( int > int > $o ) > int ).

thf(func_def_2930,type,
    sK1428: int > int > ( int > int > $o ) > ( int > int > $o ) > int ).

thf(func_def_2931,type,
    sK1429: ( nat > nat > nat ) > nat ).

thf(func_def_2932,type,
    sK1430: ( nat > nat > nat ) > nat ).

thf(func_def_2933,type,
    sK1431: ( nat > nat > nat ) > nat ).

thf(func_def_2934,type,
    sK1432: ( nat > nat > nat ) > nat ).

thf(func_def_2935,type,
    sK1433: ( nat > nat > nat ) > nat ).

thf(func_def_2936,type,
    sK1434: ( nat > nat > nat ) > nat ).

thf(func_def_2937,type,
    sK1435: ( nat > nat > nat ) > nat ).

thf(func_def_2938,type,
    sK1436: ( int > assn ) > set_int > set_int > int ).

thf(func_def_2939,type,
    sK1437: int > set_Pr1261947904930325089at_nat ).

thf(func_def_2940,type,
    sK1438: product_prod_int_int > ( int > int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > int ).

thf(func_def_2941,type,
    sK1439: product_prod_int_int > ( int > int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > int ).

thf(func_def_2942,type,
    sK1440: ( set_rat > $o ) > rat ).

thf(func_def_2943,type,
    sK1441: ( set_rat > $o ) > set_rat ).

thf(func_def_2944,type,
    sK1442: set_nat > ( nat > assn ) > set_nat > nat ).

thf(func_def_2945,type,
    sK1443: set_nat > ( nat > assn ) > ( nat > assn ) > nat ).

thf(func_def_2946,type,
    sK1444: ( int > $o ) > int > int ).

thf(func_def_2947,type,
    sK1445: ( int > $o ) > int > int ).

thf(func_def_2948,type,
    sK1446: ( int > $o ) > int > int ).

thf(func_def_2949,type,
    sK1447: ( int > $o ) > int > int ).

thf(func_def_2950,type,
    sK1448: set_int > ( int > int ) > int ).

thf(func_def_2951,type,
    sK1449: set_int > ( int > assn ) > ( assn > assn > $o ) > ( int > assn ) > int ).

thf(func_def_2952,type,
    sK1450: ( assn > assn > $o ) > assn ).

thf(func_def_2953,type,
    sK1451: ( assn > assn > $o ) > assn ).

thf(func_def_2954,type,
    sK1452: ( assn > assn > $o ) > assn ).

thf(func_def_2955,type,
    sK1453: ( assn > assn > $o ) > assn ).

thf(func_def_2956,type,
    sK1454: ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > produc2732055786443039994et_nat > produc3925858234332021118et_nat ).

thf(func_def_2957,type,
    sK1455: ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > produc2732055786443039994et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_2958,type,
    sK1456: int > code_integer ).

thf(func_def_2959,type,
    sK1457: ( $o > rat ) > ( $o > rat ) > set_o > $o ).

thf(func_def_2960,type,
    sK1458: int > set_int > int > int ).

thf(func_def_2961,type,
    sK1459: int > set_int > int > int ).

thf(func_def_2962,type,
    sK1460: nat ).

thf(func_def_2963,type,
    sK1461: nat ).

thf(func_def_2964,type,
    sK1462: nat ).

thf(func_def_2965,type,
    sK1463: ( int > assn ) > set_int > set_int > int ).

thf(func_def_2966,type,
    sK1464: ( int > assn ) > ( int > assn ) > set_int > int ).

thf(func_def_2967,type,
    sK1465: int > set_int > int > int ).

thf(func_def_2968,type,
    sK1466: int > set_int > int > int ).

thf(func_def_2969,type,
    sK1467: ( $o > product_unit ) > product_unit > $o ).

thf(func_def_2970,type,
    sK1468: ( set_literal > $o ) > set_literal ).

thf(func_def_2971,type,
    sK1469: ( set_literal > $o ) > literal ).

thf(func_def_2972,type,
    sK1470: int > set_int > int > int ).

thf(func_def_2973,type,
    sK1471: int > set_int > int > int ).

thf(func_def_2974,type,
    sK1472: ( nat > rat ) > nat ).

thf(func_def_2975,type,
    sK1473: ( nat > rat ) > nat ).

thf(func_def_2976,type,
    sK1474: ( product_prod_nat_nat > rat ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2977,type,
    sK1475: ( $o > rat ) > set_o > $o ).

thf(func_def_2978,type,
    sK1476: set_o > ( $o > code_integer ) > $o ).

thf(func_def_2979,type,
    sK1477: rat ).

thf(func_def_2980,type,
    sK1478: list_nat ).

thf(func_def_2981,type,
    sK1479: ( literal > literal ) > literal ).

thf(func_def_2982,type,
    sK1480: ( literal > literal ) > literal ).

thf(func_def_2983,type,
    sK1481: set_Pr4329608150637261639at_nat ).

thf(func_def_2984,type,
    sK1482: set_Pr4329608150637261639at_nat ).

thf(func_def_2985,type,
    sK1483: set_Pr4329608150637261639at_nat ).

thf(func_def_2986,type,
    sK1484: produc989692990947075319atural > produc4972180933644002618e_term > option6357759511663192854e_term ).

thf(func_def_2987,type,
    sK1485: produc989692990947075319atural > code_natural ).

thf(func_def_2988,type,
    sK1486: produc989692990947075319atural > code_natural ).

thf(func_def_2989,type,
    sK1487: set_nat > set_nat > nat ).

thf(func_def_2990,type,
    sK1488: code_integer > code_integer > code_integer ).

thf(func_def_2991,type,
    sK1489: set_int > int ).

thf(func_def_2992,type,
    sK1490: nat > nat > nat > nat ).

thf(func_def_2993,type,
    sK1491: nat > nat > nat > nat ).

thf(func_def_2994,type,
    sK1492: set_nat > nat ).

thf(func_def_2995,type,
    sK1493: ( nat > $o ) > code_natural ).

thf(func_def_2996,type,
    sK1494: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > product_prod_int_int ).

thf(func_def_2997,type,
    sK1495: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2998,type,
    sK1496: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2999,type,
    sK1497: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_3000,type,
    sK1498: ( rat > filter_nat ) > rat ).

thf(func_def_3001,type,
    sK1499: ( rat > filter_nat ) > rat ).

thf(func_def_3002,type,
    sK1500: ( rat > nat ) > rat ).

thf(func_def_3003,type,
    sK1501: ( rat > nat ) > rat ).

thf(func_def_3004,type,
    sK1502: ( int > rat ) > int ).

thf(func_def_3005,type,
    sK1503: ( int > rat ) > int ).

thf(func_def_3006,type,
    sK1504: set_nat > ( nat > code_integer ) > nat ).

thf(func_def_3007,type,
    sK1505: int > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_int ) > produc3925858234332021118et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_3008,type,
    sK1506: int > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_int ) > produc3925858234332021118et_nat > produc3658429121746597890et_nat ).

thf(func_def_3009,type,
    sK1507: set_int > int > ( int > rat ) > int ).

thf(func_def_3010,type,
    sK1508: product_prod_nat_nat > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_3011,type,
    sK1509: ( produc1908205239877642774nteger > $o ) > code_integer ).

thf(func_def_3012,type,
    sK1510: ( produc1908205239877642774nteger > $o ) > code_integer ).

thf(func_def_3013,type,
    sK1511: ( produc1908205239877642774nteger > $o ) > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_3014,type,
    sK1512: int > int > set_int > int ).

thf(func_def_3015,type,
    sK1513: int > int > set_int > int ).

thf(func_def_3016,type,
    sK1514: set_o > ( $o > int ) > ( $o > int ) > $o ).

thf(func_def_3017,type,
    sK1515: set_se6260736226359567993nt_int > ( set_Pr958786334691620121nt_int > rat ) > ( set_Pr958786334691620121nt_int > rat ) > set_Pr958786334691620121nt_int ).

thf(func_def_3018,type,
    sK1516: ( nat > code_integer ) > set_nat > nat ).

thf(func_def_3019,type,
    sK1517: ( nat > code_integer ) > set_nat > set_nat > nat ).

thf(func_def_3020,type,
    sK1518: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > $o ) > int ).

thf(func_def_3021,type,
    sK1519: ( set_int > $o ) > int ).

thf(func_def_3022,type,
    sK1520: ( set_int > $o ) > set_int ).

thf(func_def_3023,type,
    sK1521: ( nat > nat ) > ( product_prod_nat_nat > nat > $o ) > set_Pr1261947904930325089at_nat > set_nat > nat ).

thf(func_def_3024,type,
    sK1522: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_3025,type,
    sK1523: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3026,type,
    sK1524: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_3027,type,
    sK1525: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_3028,type,
    sK1526: ( nat > code_integer ) > set_nat > nat ).

thf(func_def_3029,type,
    sK1527: ( int > int ) > int ).

thf(func_def_3030,type,
    sK1528: ( int > int ) > int ).

thf(func_def_3031,type,
    sK1529: ( ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_3032,type,
    sK1530: ( int > code_integer ) > set_int > int ).

thf(func_def_3033,type,
    sK1531: set_int > int > ( int > $o ) > int ).

thf(func_def_3034,type,
    sK1532: int > set_int > int > int ).

thf(func_def_3035,type,
    sK1533: int > set_int > int > int ).

thf(func_def_3036,type,
    sK1534: set_int > int > ( int > $o ) > int ).

thf(func_def_3037,type,
    sK1535: ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_3038,type,
    sK1536: ( nat > int ) > set_nat > nat ).

thf(func_def_3039,type,
    sK1537: ( int > rat ) > int ).

thf(func_def_3040,type,
    sK1538: ( int > rat ) > int ).

thf(func_def_3041,type,
    sK1539: ( set_nat > code_integer ) > set_set_nat > set_nat ).

thf(func_def_3042,type,
    sK1540: set_list_char > literal > ( list_char > literal ) > list_char ).

thf(func_def_3043,type,
    sK1541: set_nat > $o > ( set_nat > $o > $o ) > ( set_nat > $o > $o ) > set_nat ).

thf(func_def_3044,type,
    sK1542: set_nat > $o > ( set_nat > $o > $o ) > ( set_nat > $o > $o ) > $o ).

thf(func_def_3045,type,
    sK1543: assn > assn > assn ).

thf(func_def_3046,type,
    sK1544: set_Pr1281608226676607948nteger > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_3047,type,
    sK1545: set_Pr1281608226676607948nteger > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8923325533196201883nteger ).

thf(func_def_3048,type,
    sK1546: set_o > $o ).

thf(func_def_3049,type,
    sK1547: ( rat > nat ) > rat ).

thf(func_def_3050,type,
    sK1548: ( rat > nat ) > rat ).

thf(func_def_3051,type,
    sK1549: ( produc3843707927480180839at_nat > rat ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_3052,type,
    sK1550: set_nat > ( nat > rat ) > ( nat > rat ) > nat ).

thf(func_def_3053,type,
    sK1551: ( set_nat > nat > $o ) > set_nat > set_set_nat > nat ).

thf(func_def_3054,type,
    sK1552: ( set_nat > nat > $o ) > set_nat > set_set_nat > set_nat ).

thf(func_def_3055,type,
    sK1553: int ).

thf(func_def_3056,type,
    sK1554: int ).

thf(func_def_3057,type,
    sK1555: int ).

thf(func_def_3058,type,
    sK1556: set_nat > ( nat > nat ) > nat ).

thf(func_def_3059,type,
    sK1557: int > ( int > $o ) > int ).

thf(func_def_3060,type,
    sK1558: set_set_nat > produc7819656566062154093et_nat > set_nat ).

thf(func_def_3061,type,
    sK1559: set_set_nat > set_set_nat > set_nat ).

thf(func_def_3062,type,
    sK1560: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_se6260736226359567993nt_int ) > set_Pr958786334691620121nt_int > product_prod_int_int ).

thf(func_def_3063,type,
    sK1561: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_se6260736226359567993nt_int ) > set_Pr958786334691620121nt_int > int > option6357759511663192854e_term ).

thf(func_def_3064,type,
    sK1562: ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_3065,type,
    sK1563: ( int > rat ) > set_int > int ).

thf(func_def_3066,type,
    sK1564: set_literal > literal ).

thf(func_def_3067,type,
    sK1565: ( rat > literal ) > rat ).

thf(func_def_3068,type,
    sK1566: ( rat > literal ) > rat ).

thf(func_def_3069,type,
    sK1567: rat > rat ).

thf(func_def_3070,type,
    sK1568: product_prod_int_int > int ).

thf(func_def_3071,type,
    sK1569: product_prod_int_int > int ).

thf(func_def_3072,type,
    sK1570: set_o > $o ).

thf(func_def_3073,type,
    sK1571: set_nat > set_nat > ( nat > int ) > nat ).

thf(func_def_3074,type,
    sK1572: set_o > $o ).

thf(func_def_3075,type,
    sK1573: ( $o > rat ) > set_o > $o > $o ).

thf(func_def_3076,type,
    sK1574: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_3077,type,
    sK1575: num > num > num > num ).

thf(func_def_3078,type,
    sK1576: num > num > num > num ).

thf(func_def_3079,type,
    sK1577: num > num > num ).

thf(func_def_3080,type,
    sK1578: num > num > num ).

thf(func_def_3081,type,
    sK1579: num > num > num > num ).

thf(func_def_3082,type,
    sK1580: num > num > num > num ).

thf(func_def_3083,type,
    sK1581: num > num > num > num ).

thf(func_def_3084,type,
    sK1582: num > num > num > num ).

thf(func_def_3085,type,
    sK1583: num > num > num > num ).

thf(func_def_3086,type,
    sK1584: num > num > num > num ).

thf(func_def_3087,type,
    sK1585: num > num > num > num ).

thf(func_def_3088,type,
    sK1586: num > num > num > num ).

thf(func_def_3089,type,
    sK1587: ( nat > rat ) > nat ).

thf(func_def_3090,type,
    sK1588: ( nat > rat ) > nat ).

thf(func_def_3091,type,
    sK1589: ( rat > rat ) > rat ).

thf(func_def_3092,type,
    sK1590: ( rat > rat ) > rat ).

thf(func_def_3093,type,
    sK1591: set_nat > ( nat > nat ) > nat ).

thf(func_def_3094,type,
    sK1592: ( nat > int ) > int > int > set_nat > nat ).

thf(func_def_3095,type,
    sK1593: ( nat > int ) > set_nat > nat ).

thf(func_def_3096,type,
    sK1594: ( int > code_integer ) > set_int > int ).

thf(func_def_3097,type,
    sK1595: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_3098,type,
    sK1596: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_3099,type,
    sK1597: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_3100,type,
    sK1598: set_Pr1261947904930325089at_nat > set_nat > ( nat > product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_3101,type,
    sK1599: set_Pr1261947904930325089at_nat > set_nat > ( nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_3102,type,
    sK1600: set_nat > ( nat > int ) > set_nat > nat ).

thf(func_def_3103,type,
    sK1601: set_nat > ( nat > int ) > set_nat > ( nat > int ) > nat ).

thf(func_def_3104,type,
    sK1602: set_nat > set_nat > ( nat > int ) > nat ).

thf(func_def_3105,type,
    sK1603: set_rat > rat ).

thf(func_def_3106,type,
    sK1604: ( set_o > $o ) > set_o > set_o ).

thf(func_def_3107,type,
    sK1605: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( ( produc3658429121746597890et_nat > $o ) > $o ) > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_3108,type,
    sK1606: ( set_Pr1261947904930325089at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_3109,type,
    sK1607: ( set_Pr1261947904930325089at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_3110,type,
    sK1608: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_3111,type,
    sK1609: ( ( product_prod_nat_nat > $o ) > $o ) > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_3112,type,
    sK1610: ( ( product_prod_nat_nat > $o ) > $o ) > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_3113,type,
    sK1611: produc4928098042776334183_nat_o > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_3114,type,
    sK1612: ( int > code_integer ) > set_int > int ).

thf(func_def_3115,type,
    sK1613: code_integer > code_integer > set_int > ( int > code_integer ) > int ).

thf(func_def_3116,type,
    sK1614: int > int ).

thf(func_def_3117,type,
    sK1615: set_nat ).

thf(func_def_3118,type,
    sK1616: set_nat ).

thf(func_def_3119,type,
    sK1617: set_nat ).

thf(func_def_3120,type,
    sK1618: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_3121,type,
    sK1619: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_3122,type,
    sK1620: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_3123,type,
    sK1621: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_3124,type,
    sK1622: ( code_integer > code_integer > $o ) > ( nat > code_integer ) > set_nat > ( nat > code_integer ) > nat ).

thf(func_def_3125,type,
    sK1623: ( nat > nat ) > set_nat > set_nat > nat ).

thf(func_def_3126,type,
    sK1624: set_nat > set_nat > ( nat > nat ) > nat ).

thf(func_def_3127,type,
    sK1625: set_nat > nat ).

thf(func_def_3128,type,
    sK1626: set_nat > nat ).

thf(func_def_3129,type,
    sK1627: ( product_unit > $o ) > $o ).

thf(func_def_3130,type,
    sK1628: set_nat > nat ).

thf(func_def_3131,type,
    sK1629: set_nat > ( nat > assn ) > set_nat > nat ).

thf(func_def_3132,type,
    sK1630: ( literal > literal ) > literal ).

thf(func_def_3133,type,
    sK1631: ( literal > literal ) > literal ).

thf(func_def_3134,type,
    sK1632: int > int > set_int > int ).

thf(func_def_3135,type,
    sK1633: int > int > set_int > int ).

thf(func_def_3136,type,
    sK1634: ( produc7773217078559923341nt_int > $o ) > product_prod_int_int ).

thf(func_def_3137,type,
    sK1635: ( produc7773217078559923341nt_int > $o ) > int > option6357759511663192854e_term ).

thf(func_def_3138,type,
    sK1636: ( int > nat ) > int > set_int > int ).

thf(func_def_3139,type,
    sK1637: ( produc2285326912895808259nt_int > $o ) > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_3140,type,
    sK1638: ( produc2285326912895808259nt_int > $o ) > product_prod_int_int ).

thf(func_def_3141,type,
    sK1639: ( int > nat ) > set_int > ( int > nat ) > int ).

thf(func_def_3142,type,
    sK1640: ( int > code_integer ) > set_int > int ).

thf(func_def_3143,type,
    sK1641: ( int > nat ) > set_int > set_int > ( int > nat ) > int ).

thf(func_def_3144,type,
    sK1642: ( int > nat ) > set_int > set_int > int ).

thf(func_def_3145,type,
    sK1643: set_int > set_int > ( int > nat ) > int ).

thf(func_def_3146,type,
    sK1644: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3147,type,
    sK1645: ( int > $o ) > nat ).

thf(func_def_3148,type,
    sK1646: ( int > $o ) > nat ).

thf(func_def_3149,type,
    sK1647: num > num ).

thf(func_def_3150,type,
    sK1648: num > option_num > num > num ).

thf(func_def_3151,type,
    sK1649: num > option_num > num > num ).

thf(func_def_3152,type,
    sK1650: num > num ).

thf(func_def_3153,type,
    sK1651: option_num > num > num > num ).

thf(func_def_3154,type,
    sK1652: option_num > num > num > num ).

thf(func_def_3155,type,
    sK1653: num > num > option_num > num ).

thf(func_def_3156,type,
    sK1654: num > num > option_num > num ).

thf(func_def_3157,type,
    sK1655: option_num > num > num > num ).

thf(func_def_3158,type,
    sK1656: option_num > num > num > num ).

thf(func_def_3159,type,
    sK1657: num > num ).

thf(func_def_3160,type,
    sK1658: num > num ).

thf(func_def_3161,type,
    sK1659: ( rat > literal ) > rat ).

thf(func_def_3162,type,
    sK1660: ( rat > literal ) > rat ).

thf(func_def_3163,type,
    sK1661: code_natural > code_natural > code_natural ).

thf(func_def_3164,type,
    sK1662: ( int > literal ) > int ).

thf(func_def_3165,type,
    sK1663: ( int > literal ) > int ).

thf(func_def_3166,type,
    sK1664: set_nat > ( nat > nat ) > set_nat > nat ).

thf(func_def_3167,type,
    sK1665: produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_3168,type,
    sK1666: produc3658429121746597890et_nat > set_nat ).

thf(func_def_3169,type,
    sK1667: ( literal > nat ) > literal ).

thf(func_def_3170,type,
    sK1668: ( literal > nat ) > literal ).

thf(func_def_3171,type,
    sK1669: int > int > int ).

thf(func_def_3172,type,
    sK1670: ( set_nat > $o ) > nat ).

thf(func_def_3173,type,
    sK1671: ( set_nat > $o ) > set_nat ).

thf(func_def_3174,type,
    sK1672: set_literal > literal ).

thf(func_def_3175,type,
    sK1673: int > int > int > int ).

thf(func_def_3176,type,
    sK1674: ( int > int ) > set_int > set_int > int ).

thf(func_def_3177,type,
    sK1675: set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_3178,type,
    sK1676: ( int > code_integer ) > set_int > int > int ).

thf(func_def_3179,type,
    sK1677: produc7773217078559923341nt_int > int ).

thf(func_def_3180,type,
    sK1678: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_3181,type,
    sK1679: produc7773217078559923341nt_int > int ).

thf(func_def_3182,type,
    sK1680: produc1908205239877642774nteger > code_integer ).

thf(func_def_3183,type,
    sK1681: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_3184,type,
    sK1682: produc1908205239877642774nteger > code_integer ).

thf(func_def_3185,type,
    sK1683: ( int > rat ) > set_int > int ).

thf(func_def_3186,type,
    sK1684: int > int > int ).

thf(func_def_3187,type,
    sK1685: set_int > ( int > code_integer ) > ( int > code_integer ) > int ).

thf(func_def_3188,type,
    sK1686: ( rat > rat ) > rat ).

thf(func_def_3189,type,
    sK1687: ( rat > rat ) > rat ).

thf(func_def_3190,type,
    sK1688: set_Pr1261947904930325089at_nat ).

thf(func_def_3191,type,
    sK1689: set_Pr1261947904930325089at_nat ).

thf(func_def_3192,type,
    sK1690: set_Pr1261947904930325089at_nat ).

thf(func_def_3193,type,
    sK1691: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_3194,type,
    sK1692: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_3195,type,
    sK1693: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_3196,type,
    sK1694: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_3197,type,
    sK1695: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_3198,type,
    sK1696: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_3199,type,
    sK1697: ( ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_3200,type,
    sK1698: set_set_nat > ( set_nat > code_integer ) > set_set_nat > set_nat ).

thf(func_def_3201,type,
    sK1699: ( set_nat > code_integer ) > set_set_nat > set_set_nat > set_nat ).

thf(func_def_3202,type,
    sK1700: ( set_nat > code_integer ) > set_set_nat > ( set_nat > code_integer ) > set_set_nat > set_nat ).

thf(func_def_3203,type,
    sK1701: set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > int ) > int > set_Pr1261947904930325089at_nat ).

thf(func_def_3204,type,
    sK1702: ( set_nat > rat ) > set_set_nat > set_nat ).

thf(func_def_3205,type,
    sK1703: int > int > int > int ).

thf(func_def_3206,type,
    sK1704: int > int > int > int ).

thf(func_def_3207,type,
    sK1705: ( set_nat > $o ) > set_nat ).

thf(func_def_3208,type,
    sK1706: ( set_nat > $o ) > nat ).

thf(func_def_3209,type,
    sK1707: ( int > $o ) > product_prod_int_int > ( int > int > int ) > int ).

thf(func_def_3210,type,
    sK1708: ( int > $o ) > product_prod_int_int > ( int > int > int ) > int ).

thf(func_def_3211,type,
    sK1709: set_int > ( int > rat ) > int ).

thf(func_def_3212,type,
    sK1710: set_int > ( nat > rat ) > ( int > nat ) > ( int > rat ) > int ).

thf(func_def_3213,type,
    sK1711: ( int > nat ) > set_nat > set_nat > set_int > set_int > int ).

thf(func_def_3214,type,
    sK1712: ( nat > int ) > set_int > set_int > set_nat > set_nat > nat ).

thf(func_def_3215,type,
    sK1713: ( nat > int ) > set_int > ( int > nat ) > set_int > int ).

thf(func_def_3216,type,
    sK1714: set_nat > ( nat > int ) > ( int > nat ) > set_nat > nat ).

thf(func_def_3217,type,
    sK1715: set_nat > ( nat > rat ) > nat ).

thf(func_def_3218,type,
    sK1716: rat > rat > rat ).

thf(func_def_3219,type,
    sK1717: set_rat > rat ).

thf(func_def_3220,type,
    sK1718: set_nat > nat ).

thf(func_def_3221,type,
    sK1719: set_nat > ( nat > nat ) > nat ).

thf(func_def_3222,type,
    sK1720: int > ( int > int > $o ) > int ).

thf(func_def_3223,type,
    sK1721: ( product_unit > $o ) > $o > product_unit ).

thf(func_def_3224,type,
    sK1722: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > nat ).

thf(func_def_3225,type,
    sK1723: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > nat ).

thf(func_def_3226,type,
    sK1724: set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_3227,type,
    sK1725: set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_3228,type,
    sK1726: set_int > ( int > code_integer ) > set_int > int ).

thf(func_def_3229,type,
    sK1727: set_int > ( int > code_integer ) > set_int > ( int > code_integer ) > int ).

thf(func_def_3230,type,
    sK1728: set_int > set_int > ( int > code_integer ) > int ).

thf(func_def_3231,type,
    sK1729: set_nat > ( nat > code_integer ) > nat ).

thf(func_def_3232,type,
    sK1730: set_o > $o ).

thf(func_def_3233,type,
    sK1731: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3234,type,
    sK1732: int > ( int > $o ) > set_int > int ).

thf(func_def_3235,type,
    sK1733: int > ( int > $o ) > int ).

thf(func_def_3236,type,
    sK1734: int > ( int > $o ) > int ).

thf(func_def_3237,type,
    sK1735: ( nat > literal ) > nat ).

thf(func_def_3238,type,
    sK1736: ( nat > literal ) > nat ).

thf(func_def_3239,type,
    sK1737: ( $o > nat > $o ) > ( nat > nat ) > set_nat > set_o > nat ).

thf(func_def_3240,type,
    sK1738: set_nat > ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_3241,type,
    sK1739: ( set_Pr4329608150637261639at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_3242,type,
    sK1740: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_3243,type,
    sK1741: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_3244,type,
    sK1742: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat ).

thf(func_def_3245,type,
    sK1743: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat ).

thf(func_def_3246,type,
    sK1744: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat ).

thf(func_def_3247,type,
    sK1745: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat ).

thf(func_def_3248,type,
    sK1746: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat ).

thf(func_def_3249,type,
    sK1747: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat ).

thf(func_def_3250,type,
    sK1748: ( set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat ) > set_Pr8551490117392284871at_nat ).

thf(func_def_3251,type,
    sK1749: multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_3252,type,
    sK1750: multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_3253,type,
    sK1751: multis2468970476368604999at_nat > multis2468970476368604999at_nat > multis2468970476368604999at_nat ).

thf(func_def_3254,type,
    sK1752: ( int > nat ) > ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_3255,type,
    sK1753: ( nat > rat ) > ( int > rat ) > ( nat > int ) > set_nat > nat ).

thf(func_def_3256,type,
    sK1754: set_nat > ( nat > rat ) > nat ).

thf(func_def_3257,type,
    sK1755: ( int > nat ) > set_nat > set_nat > set_int > set_int > int ).

thf(func_def_3258,type,
    sK1756: set_int > set_nat > set_nat > ( nat > int ) > set_int > nat ).

thf(func_def_3259,type,
    sK1757: set_int > ( int > nat ) > ( nat > int ) > set_int > int ).

thf(func_def_3260,type,
    sK1758: set_int > ( int > rat ) > int ).

thf(func_def_3261,type,
    sK1759: set_nat > ( nat > nat ) > set_nat > nat ).

thf(func_def_3262,type,
    sK1760: set_nat > ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_3263,type,
    sK1761: set_int > set_int > ( int > code_integer ) > int ).

thf(func_def_3264,type,
    sK1762: int > nat ).

thf(func_def_3265,type,
    sK1763: set_nat > ( nat > rat ) > ( nat > rat ) > nat ).

thf(func_def_3266,type,
    sK1764: set_nat > set_nat > ( nat > rat ) > nat ).

thf(func_def_3267,type,
    sK1765: ( set_nat > $o ) > set_nat ).

thf(func_def_3268,type,
    sK1766: ( set_nat > $o ) > nat ).

thf(func_def_3269,type,
    sK1767: ( set_nat > $o ) > set_nat ).

thf(func_def_3270,type,
    sK1768: ( int > int > int ) > int ).

thf(func_def_3271,type,
    sK1769: ( int > int > int ) > int ).

thf(func_def_3272,type,
    sK1770: ( int > int > int ) > int ).

thf(func_def_3273,type,
    sK1771: ( int > int > int ) > int ).

thf(func_def_3274,type,
    sK1772: ( int > int > int ) > int ).

thf(func_def_3275,type,
    sK1773: ( int > int > int ) > int ).

thf(func_def_3276,type,
    sK1774: ( int > int > int ) > int ).

thf(func_def_3277,type,
    sK1775: set_nat > ( nat > nat ) > nat ).

thf(func_def_3278,type,
    sK1776: nat > nat > nat > nat ).

thf(func_def_3279,type,
    sK1777: nat > nat > nat > nat ).

thf(func_def_3280,type,
    sK1778: nat > nat > nat ).

thf(func_def_3281,type,
    sK1779: int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_int ) > produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_3282,type,
    sK1780: int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_int ) > produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_3283,type,
    sK1781: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_3284,type,
    sK1782: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_3285,type,
    sK1783: ( set_int > $o ) > int ).

thf(func_def_3286,type,
    sK1784: ( set_int > $o ) > int ).

thf(func_def_3287,type,
    sK1785: ( set_int > $o ) > set_int ).

thf(func_def_3288,type,
    sK1786: ( nat > nat ) > set_nat > ( nat > nat > $o ) > set_nat > nat ).

thf(func_def_3289,type,
    sK1787: ( set_nat > nat ) > ( set_nat > nat ) > set_set_nat > set_nat ).

thf(func_def_3290,type,
    sK1788: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > $o > heap_e7401611519738050253t_unit ).

thf(func_def_3291,type,
    sK1789: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > $o > set_nat ).

thf(func_def_3292,type,
    sK1790: set_nat > ( nat > code_integer ) > set_nat > nat ).

thf(func_def_3293,type,
    sK1791: set_nat > ( nat > code_integer ) > set_nat > nat ).

thf(func_def_3294,type,
    sK1792: set_int > ( int > code_integer ) > int ).

thf(func_def_3295,type,
    sK1793: ( produc7773217078559923341nt_int > $o ) > int ).

thf(func_def_3296,type,
    sK1794: ( produc7773217078559923341nt_int > $o ) > int ).

thf(func_def_3297,type,
    sK1795: ( produc7773217078559923341nt_int > $o ) > int > option6357759511663192854e_term ).

thf(func_def_3298,type,
    sK1796: set_rat > rat ).

thf(func_def_3299,type,
    sK1797: assn > produc3658429121746597890et_nat ).

thf(func_def_3300,type,
    sK1798: assn > produc3658429121746597890et_nat ).

thf(func_def_3301,type,
    sK1799: set_int > ( int > int ) > int ).

thf(func_def_3302,type,
    sK1800: ( nat > nat ) > set_nat > nat ).

thf(func_def_3303,type,
    sK1801: ( literal > nat ) > literal ).

thf(func_def_3304,type,
    sK1802: ( literal > nat ) > literal ).

thf(func_def_3305,type,
    sK1803: ( ( produc3658429121746597890et_nat > $o ) > assn ) > assn > produc3658429121746597890et_nat > $o ).

thf(func_def_3306,type,
    sK1804: ( rat > rat ) > rat ).

thf(func_def_3307,type,
    sK1805: ( rat > rat ) > rat ).

thf(func_def_3308,type,
    sK1806: ( set_o > $o ) > set_o > set_o ).

thf(func_def_3309,type,
    sK1807: ( nat > nat ) > set_nat > nat ).

thf(func_def_3310,type,
    sK1808: ( rat > nat ) > rat ).

thf(func_def_3311,type,
    sK1809: ( rat > nat ) > rat ).

thf(func_def_3312,type,
    sK1810: ( produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat > produc3843707927480180839at_nat ).

thf(func_def_3313,type,
    sK1811: ( nat > int ) > nat > nat > nat ).

thf(func_def_3314,type,
    sK1812: int > ( nat > int ) > nat > nat > nat ).

thf(func_def_3315,type,
    sK1813: set_int > ( int > assn ) > ( int > assn ) > int ).

thf(func_def_3316,type,
    sK1814: set_int > ( int > assn ) > set_int > int ).

thf(func_def_3317,type,
    sK1815: ( literal > rat ) > literal ).

thf(func_def_3318,type,
    sK1816: ( literal > rat ) > literal ).

thf(func_def_3319,type,
    sK1817: 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_3320,type,
    sK1818: 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_3321,type,
    sK1819: set_se6260736226359567993nt_int > ( set_Pr958786334691620121nt_int > code_integer ) > code_integer > code_integer > set_Pr958786334691620121nt_int ).

thf(func_def_3322,type,
    sK1820: ( set_Pr958786334691620121nt_int > code_integer ) > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_3323,type,
    sK1821: set_int > int ).

thf(func_def_3324,type,
    sK1822: set_int > int ).

thf(func_def_3325,type,
    sK1823: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_3326,type,
    sK1824: list_nat > nat > list_nat ).

thf(func_def_3327,type,
    sK1825: list_nat > nat > nat ).

thf(func_def_3328,type,
    sK1826: ( $o > $o > $o ) > $o > $o ).

thf(func_def_3329,type,
    sK1827: ( literal > list_char ) > list_char > literal ).

thf(func_def_3330,type,
    sK1828: code_integer > code_integer > code_integer ).

thf(func_def_3331,type,
    sK1829: produc7773217078559923341nt_int > nat > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > product_prod_int_int ).

thf(func_def_3332,type,
    sK1830: produc7773217078559923341nt_int > nat > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > int > option6357759511663192854e_term ).

thf(func_def_3333,type,
    sK1831: set_int > ( int > nat ) > ( nat > int > $o ) > set_nat > int ).

thf(func_def_3334,type,
    sK1832: ( nat > code_integer ) > nat > set_nat > nat ).

thf(func_def_3335,type,
    sK1833: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > set_Pr1872883991513573699nt_int > product_prod_int_int ).

thf(func_def_3336,type,
    sK1834: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > set_Pr1872883991513573699nt_int > int > option6357759511663192854e_term ).

thf(func_def_3337,type,
    sK1835: ( nat > rat ) > set_nat > nat ).

thf(func_def_3338,type,
    sK1836: ( int > rat ) > int ).

thf(func_def_3339,type,
    sK1837: ( int > rat ) > int ).

thf(func_def_3340,type,
    sK1838: set_Pr1261947904930325089at_nat > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_3341,type,
    sK1839: ( nat > int ) > ( nat > int ) > set_nat > nat ).

thf(func_def_3342,type,
    sK1840: ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_3343,type,
    sK1841: ( literal > literal ) > literal ).

thf(func_def_3344,type,
    sK1842: ( literal > literal ) > literal ).

thf(func_def_3345,type,
    sK1843: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_3346,type,
    sK1844: set_int > int ).

thf(func_def_3347,type,
    sK1845: ( set_nat > $o ) > set_nat ).

thf(func_def_3348,type,
    sK1846: set_int > ( int > int ) > int ).

thf(func_def_3349,type,
    sK1847: set_int > set_int > ( int > int ) > int ).

thf(func_def_3350,type,
    sK1848: nat > rat ).

thf(func_def_3351,type,
    sK1849: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ) > nat > produc3925858234332021118et_nat > produc3658429121746597890et_nat ).

thf(func_def_3352,type,
    sK1850: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ) > nat > produc3925858234332021118et_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_3353,type,
    sK1851: ( nat > rat ) > nat ).

thf(func_def_3354,type,
    sK1852: ( nat > rat ) > nat ).

thf(func_def_3355,type,
    sK1853: set_Pr1261947904930325089at_nat > int ).

thf(func_def_3356,type,
    sK1854: ( rat > nat ) > rat ).

thf(func_def_3357,type,
    sK1855: ( rat > nat ) > rat ).

thf(func_def_3358,type,
    sK1856: set_set_nat > ( set_nat > int ) > set_nat ).

thf(func_def_3359,type,
    sK1857: int ).

thf(func_def_3360,type,
    sK1858: set_int > int ).

thf(func_def_3361,type,
    sK1859: ( int > int ) > set_int > set_int > int ).

thf(func_def_3362,type,
    sK1860: ( set_nat > $o ) > set_nat ).

thf(func_def_3363,type,
    sK1861: ( set_nat > $o ) > nat ).

thf(func_def_3364,type,
    sK1862: set_int > ( int > $o ) > int > int ).

thf(func_def_3365,type,
    sK1863: int > set_int > int > int ).

thf(func_def_3366,type,
    sK1864: int > set_int > int > int ).

thf(func_def_3367,type,
    sK1865: set_int > int > ( int > $o ) > int ).

thf(func_def_3368,type,
    sK1866: ( int > $o ) > int > int ).

thf(func_def_3369,type,
    sK1867: product_prod_int_int > ( int > int > $o ) > int ).

thf(func_def_3370,type,
    sK1868: product_prod_int_int > ( int > int > $o ) > int ).

thf(func_def_3371,type,
    sK1869: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_3372,type,
    sK1870: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > produc8923325533196201883nteger ).

thf(func_def_3373,type,
    sK1871: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > $o > heap_e7401611519738050253t_unit ).

thf(func_def_3374,type,
    sK1872: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > $o > set_nat ).

thf(func_def_3375,type,
    sK1873: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_3376,type,
    sK1874: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > int > option6357759511663192854e_term ).

thf(func_def_3377,type,
    sK1875: ( filter_nat > rat ) > filter_nat ).

thf(func_def_3378,type,
    sK1876: ( filter_nat > rat ) > filter_nat ).

thf(func_def_3379,type,
    sK1877: int > int ).

thf(func_def_3380,type,
    sK1878: set_set_nat > ( set_nat > rat ) > set_nat ).

thf(func_def_3381,type,
    sK1879: ( rat > literal ) > rat ).

thf(func_def_3382,type,
    sK1880: ( rat > literal ) > rat ).

thf(func_def_3383,type,
    sK1881: ( rat > int ) > rat ).

thf(func_def_3384,type,
    sK1882: ( rat > int ) > rat ).

thf(func_def_3385,type,
    sK1883: ( ( produc3658429121746597890et_nat > $o ) > $o ) > assn ).

thf(func_def_3386,type,
    sK1884: set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_3387,type,
    sK1885: int > set_int > int > int ).

thf(func_def_3388,type,
    sK1886: int > set_int > int > int ).

thf(func_def_3389,type,
    sK1887: set_list_nat > ( nat > list_nat > $o ) > set_nat > ( list_nat > nat ) > list_nat ).

thf(func_def_3390,type,
    sK1888: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_3391,type,
    sK1889: produc2285326912895808259nt_int > int ).

thf(func_def_3392,type,
    sK1890: produc2285326912895808259nt_int > int ).

thf(func_def_3393,type,
    sK1891: produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_3394,type,
    sK1892: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_3395,type,
    sK1893: ( set_o > $o ) > set_o ).

thf(func_def_3396,type,
    sK1894: ( int > nat ) > set_int > int ).

thf(func_def_3397,type,
    sK1895: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_3398,type,
    sK1896: ( int > $o ) > int > ( int > $o ) > int ).

thf(func_def_3399,type,
    sK1897: produc2285326912895808259nt_int > nat > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_3400,type,
    sK1898: produc2285326912895808259nt_int > nat > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > product_prod_int_int ).

thf(func_def_3401,type,
    sK1899: set_set_nat > ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_3402,type,
    sK1900: set_set_nat > ( set_set_nat > $o ) > set_nat ).

thf(func_def_3403,type,
    sK1901: ( rat > nat ) > rat ).

thf(func_def_3404,type,
    sK1902: ( rat > nat ) > rat ).

thf(func_def_3405,type,
    sK1903: set_nat > set_nat > ( nat > code_integer ) > nat ).

thf(func_def_3406,type,
    sK1904: ( int > int ) > int ).

thf(func_def_3407,type,
    sK1905: ( int > int ) > int ).

thf(func_def_3408,type,
    sK1906: ( int > int > $o ) > int ).

thf(func_def_3409,type,
    sK1907: ( int > int > $o ) > int ).

thf(func_def_3410,type,
    sK1908: ( int > int > $o ) > int ).

thf(func_def_3411,type,
    sK1909: ( int > int > $o ) > int ).

thf(func_def_3412,type,
    sK1910: ( product_prod_nat_nat > code_integer ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3413,type,
    sK1911: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_3414,type,
    sK1912: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_3415,type,
    sK1913: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_3416,type,
    sK1914: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_3417,type,
    sK1915: ( int > code_integer ) > ( code_integer > code_integer > $o ) > set_int > ( int > code_integer ) > int ).

thf(func_def_3418,type,
    sK1916: set_filter_nat > filter_nat ).

thf(func_def_3419,type,
    sK1917: ( $o > int ) > ( set_o > $o ) > $o ).

thf(func_def_3420,type,
    sK1918: ( $o > int ) > ( set_o > $o ) > set_o ).

thf(func_def_3421,type,
    sK1919: ( nat > rat ) > nat ).

thf(func_def_3422,type,
    sK1920: ( nat > rat ) > nat ).

thf(func_def_3423,type,
    sK1921: produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_3424,type,
    sK1922: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_3425,type,
    sK1923: ( list_nat > nat > $o ) > ( nat > nat ) > set_list_nat > set_nat > nat ).

thf(func_def_3426,type,
    sK1924: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_3427,type,
    sK1925: rat > nat ).

thf(func_def_3428,type,
    sK1926: nat > produc3925858234332021118et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ) > produc3658429121746597890et_nat > $o ).

thf(func_def_3429,type,
    sK1927: nat > produc3925858234332021118et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ) > produc3658429121746597890et_nat ).

thf(func_def_3430,type,
    sK1928: $o > ( nat > $o > $o ) > ( nat > $o > $o ) > nat > nat ).

thf(func_def_3431,type,
    sK1929: $o > ( nat > $o > $o ) > ( nat > $o > $o ) > nat > $o ).

thf(func_def_3432,type,
    sK1930: ( nat > $o ) > nat ).

thf(func_def_3433,type,
    sK1931: ( nat > nat > $o ) > nat ).

thf(func_def_3434,type,
    sK1932: ( nat > nat > $o ) > nat ).

thf(func_def_3435,type,
    sK1933: ( nat > nat > $o ) > nat ).

thf(func_def_3436,type,
    sK1934: ( nat > nat > $o ) > nat ).

thf(func_def_3437,type,
    sK1935: ( nat > nat > $o ) > nat ).

thf(func_def_3438,type,
    sK1936: set_int > ( int > rat ) > int ).

thf(func_def_3439,type,
    sK1937: ( int > rat ) > rat > set_int > rat > int ).

thf(func_def_3440,type,
    sK1938: ( int > nat ) > set_int > set_int > int ).

thf(func_def_3441,type,
    sK1939: set_int > ( int > nat ) > set_int > int ).

thf(func_def_3442,type,
    sK1940: ( code_integer > $o ) > code_integer > code_integer ).

thf(func_def_3443,type,
    sK1941: ( code_integer > $o ) > code_integer > code_integer ).

thf(func_def_3444,type,
    sK1942: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_3445,type,
    sK1943: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_3446,type,
    sK1944: ( list_char > literal ) > literal > list_char ).

thf(func_def_3447,type,
    sK1945: set_Pr8551490117392284871at_nat ).

thf(func_def_3448,type,
    sK1946: set_Pr8551490117392284871at_nat ).

thf(func_def_3449,type,
    sK1947: set_Pr8551490117392284871at_nat ).

thf(func_def_3450,type,
    sK1948: set_nat > ( nat > rat ) > set_nat > nat ).

thf(func_def_3451,type,
    sK1949: set_nat > ( nat > rat ) > set_nat > nat ).

thf(func_def_3452,type,
    sK1950: int > int > set_int > int ).

thf(func_def_3453,type,
    sK1951: int > int > set_int > int ).

thf(func_def_3454,type,
    sK1952: produc3658429121746597890et_nat > $o > heap_e7401611519738050253t_unit ).

thf(func_def_3455,type,
    sK1953: produc3658429121746597890et_nat > $o > set_nat ).

thf(func_def_3456,type,
    sK1954: ( int > rat ) > int ).

thf(func_def_3457,type,
    sK1955: ( int > rat ) > int ).

thf(func_def_3458,type,
    sK1956: set_set_nat > set_nat ).

thf(func_def_3459,type,
    sK1957: ( int > int > $o ) > int ).

thf(func_def_3460,type,
    sK1958: ( int > int > $o ) > int ).

thf(func_def_3461,type,
    sK1959: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > list_char > $o ).

thf(func_def_3462,type,
    sK1960: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > list_char > $o ).

thf(func_def_3463,type,
    sK1961: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > list_char > $o ).

thf(func_def_3464,type,
    sK1962: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > list_char > $o ).

thf(func_def_3465,type,
    sK1963: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > list_char > $o ).

thf(func_def_3466,type,
    sK1964: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > list_char > $o ).

thf(func_def_3467,type,
    sK1965: ( ( list_char > $o ) > ( list_char > $o ) > list_char > $o ) > list_char > $o ).

thf(func_def_3468,type,
    sK1966: int > nat ).

thf(func_def_3469,type,
    sK1967: int > nat ).

thf(func_def_3470,type,
    sK1968: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_set_nat ) > produc3925858234332021118et_nat > set_nat > produc3658429121746597890et_nat > $o ).

thf(func_def_3471,type,
    sK1969: ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_set_nat ) > produc3925858234332021118et_nat > set_nat > produc3658429121746597890et_nat ).

thf(func_def_3472,type,
    sK1970: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_3473,type,
    sK1971: set_nat > nat ).

thf(func_def_3474,type,
    sK1972: set_set_nat > set_nat ).

thf(func_def_3475,type,
    sK1973: ( int > nat ) > set_int > set_int > int ).

thf(func_def_3476,type,
    sK1974: ( int > nat ) > set_int > ( int > nat ) > int ).

thf(func_def_3477,type,
    sK1975: ( set_set_nat > $o ) > set_nat ).

thf(func_def_3478,type,
    sK1976: ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_3479,type,
    sK1977: ( int > nat ) > int ).

thf(func_def_3480,type,
    sK1978: ( int > nat ) > int ).

thf(func_def_3481,type,
    sK1979: ( nat > nat ) > nat ).

thf(func_def_3482,type,
    sK1980: ( nat > nat ) > nat ).

thf(func_def_3483,type,
    sK1981: int > set_int > int > int ).

thf(func_def_3484,type,
    sK1982: int > set_int > int > int ).

thf(func_def_3485,type,
    sK1983: int > int > set_int > int ).

thf(func_def_3486,type,
    sK1984: int > int > set_int > int ).

thf(func_def_3487,type,
    sK1985: ( rat > literal ) > rat ).

thf(func_def_3488,type,
    sK1986: ( rat > literal ) > rat ).

thf(func_def_3489,type,
    sK1987: ( nat > nat ) > ( nat > nat ) > set_nat > ( nat > nat > $o ) > nat ).

thf(func_def_3490,type,
    sK1988: ( nat > nat > $o ) > nat ).

thf(func_def_3491,type,
    sK1989: ( nat > nat > $o ) > nat ).

thf(func_def_3492,type,
    sK1990: ( nat > nat > $o ) > nat ).

thf(func_def_3493,type,
    sK1991: ( nat > nat > $o ) > nat ).

thf(func_def_3494,type,
    sK1992: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_3495,type,
    sK1993: set_nat > set_nat > ( nat > rat ) > nat ).

thf(func_def_3496,type,
    sK1994: ( literal > rat ) > literal ).

thf(func_def_3497,type,
    sK1995: ( literal > rat ) > literal ).

thf(func_def_3498,type,
    sK1996: set_set_nat > ( set_nat > nat ) > ( set_nat > nat ) > set_nat ).

thf(func_def_3499,type,
    sK1997: rat > ( rat > $o ) > rat ).

thf(func_def_3500,type,
    sK1998: rat > ( rat > $o ) > rat ).

thf(func_def_3501,type,
    sK1999: rat > ( rat > $o ) > rat ).

thf(func_def_3502,type,
    sK2000: rat > ( rat > $o ) > rat ).

thf(func_def_3503,type,
    sK2001: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_3504,type,
    sK2002: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3505,type,
    sK2003: ( nat > rat ) > nat ).

thf(func_def_3506,type,
    sK2004: ( nat > rat ) > nat ).

thf(func_def_3507,type,
    sK2005: ( int > literal ) > int ).

thf(func_def_3508,type,
    sK2006: ( int > literal ) > int ).

thf(func_def_3509,type,
    sK2007: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > nat ).

thf(func_def_3510,type,
    sK2008: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > nat ).

thf(func_def_3511,type,
    sK2009: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_3512,type,
    sK2010: set_int > ( int > code_integer ) > ( int > int ) > ( int > code_integer ) > int ).

thf(func_def_3513,type,
    sK2011: set_int > ( int > code_integer ) > int ).

thf(func_def_3514,type,
    sK2012: ( int > int ) > ( int > int ) > set_int > set_int > int ).

thf(func_def_3515,type,
    sK2013: ( int > code_integer ) > set_int > int ).

thf(func_def_3516,type,
    sK2014: set_int > set_int > set_int > ( int > int ) > set_int > int ).

thf(func_def_3517,type,
    sK2015: ( int > int ) > set_int > set_int > ( int > int ) > int ).

thf(func_def_3518,type,
    sK2016: ( set_nat > code_integer ) > set_set_nat > set_nat ).

thf(func_def_3519,type,
    sK2017: ( nat > $o ) > ( nat > $o ) > nat > nat ).

thf(func_def_3520,type,
    sK2018: ( rat > nat ) > rat ).

thf(func_def_3521,type,
    sK2019: ( rat > nat ) > rat ).

thf(func_def_3522,type,
    sK2020: rat > rat > rat ).

thf(func_def_3523,type,
    sK2021: ( int > nat ) > set_int > int ).

thf(func_def_3524,type,
    sK2022: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_3525,type,
    sK2023: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_3526,type,
    sK2024: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_3527,type,
    sK2025: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_3528,type,
    sK2026: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_3529,type,
    sK2027: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_3530,type,
    sK2028: ( filter_nat > filter_nat > filter_nat ) > filter_nat ).

thf(func_def_3531,type,
    sK2029: ( set_o > $o ) > set_o ).

thf(func_def_3532,type,
    sK2030: ( set_o > $o ) > $o ).

thf(func_def_3533,type,
    sK2031: set_int > int > ( int > $o ) > int ).

thf(func_def_3534,type,
    sK2032: int > set_int > int > int ).

thf(func_def_3535,type,
    sK2033: int > set_int > int > int ).

thf(func_def_3536,type,
    sK2034: ( int > $o ) > set_int > int > int ).

thf(func_def_3537,type,
    sK2035: ( rat > nat ) > rat ).

thf(func_def_3538,type,
    sK2036: ( rat > nat ) > rat ).

thf(func_def_3539,type,
    sK2037: ( int > nat ) > set_int > ( int > nat ) > int ).

thf(func_def_3540,type,
    sK2038: set_int > set_int > ( int > nat ) > int ).

thf(func_def_3541,type,
    sK2039: set_int > ( int > rat ) > int ).

thf(func_def_3542,type,
    sK2040: ( rat > rat ) > rat ).

thf(func_def_3543,type,
    sK2041: ( rat > rat ) > rat ).

thf(func_def_3544,type,
    sK2042: ( produc1908205239877642774nteger > $o ) > produc8923325533196201883nteger ).

thf(func_def_3545,type,
    sK2043: ( produc1908205239877642774nteger > $o ) > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_3546,type,
    sK2044: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_3547,type,
    sK2045: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_3548,type,
    sK2046: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_3549,type,
    sK2047: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_3550,type,
    sK2048: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_3551,type,
    sK2049: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_3552,type,
    sK2050: ( set_nat > set_nat > set_nat ) > set_nat ).

thf(func_def_3553,type,
    sK2051: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_3554,type,
    sK2052: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3555,type,
    sK2053: ( nat > rat ) > nat ).

thf(func_def_3556,type,
    sK2054: ( nat > rat ) > nat ).

thf(func_def_3557,type,
    sK2055: set_nat > set_o > ( nat > $o ) > $o ).

thf(func_def_3558,type,
    sK2056: produc412284730452459111nt_int > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_3559,type,
    sK2057: set_Pr8551490117392284871at_nat ).

thf(func_def_3560,type,
    sK2058: set_Pr8551490117392284871at_nat ).

thf(func_def_3561,type,
    sK2059: set_Pr8551490117392284871at_nat ).

thf(func_def_3562,type,
    sK2060: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_3563,type,
    sK2061: ( int > rat ) > set_int > int ).

thf(func_def_3564,type,
    sK2062: ( int > rat ) > ( int > int ) > ( int > rat ) > set_int > int ).

thf(func_def_3565,type,
    sK2063: set_int > set_int > ( int > int ) > ( int > int ) > int ).

thf(func_def_3566,type,
    sK2064: ( int > rat ) > set_int > int ).

thf(func_def_3567,type,
    sK2065: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_3568,type,
    sK2066: set_int > set_int > ( int > int ) > ( int > int ) > int ).

thf(func_def_3569,type,
    sK2067: set_Pr8536935166611901872et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_3570,type,
    sK2068: set_Pr8536935166611901872et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3925858234332021118et_nat > $o ) > produc3925858234332021118et_nat ).

thf(func_def_3571,type,
    sK2069: produc3925858234332021118et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat ).

thf(func_def_3572,type,
    sK2070: produc3925858234332021118et_nat > ( ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_3573,type,
    sK2071: ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_3574,type,
    sK2072: ( set_set_nat > $o ) > set_nat ).

thf(func_def_3575,type,
    sK2073: ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_3576,type,
    sK2074: ( list_char > $o ) > literal ).

thf(func_def_3577,type,
    sK2075: ( literal > rat ) > literal ).

thf(func_def_3578,type,
    sK2076: ( literal > rat ) > literal ).

thf(func_def_3579,type,
    sK2077: ( nat > rat ) > nat ).

thf(func_def_3580,type,
    sK2078: ( nat > rat ) > nat ).

thf(func_def_3581,type,
    sK2079: ( nat > rat ) > ( set_nat > $o ) > nat ).

thf(func_def_3582,type,
    sK2080: ( nat > rat ) > ( set_nat > $o ) > set_nat ).

thf(func_def_3583,type,
    sK2081: ( nat > $o ) > set_nat > ( nat > $o ) > nat ).

thf(func_def_3584,type,
    sK2082: ( nat > literal ) > nat ).

thf(func_def_3585,type,
    sK2083: ( nat > literal ) > nat ).

thf(func_def_3586,type,
    sK2084: int > int > set_int > int ).

thf(func_def_3587,type,
    sK2085: int > int > set_int > int ).

thf(func_def_3588,type,
    sK2086: nat > nat > nat ).

thf(func_def_3589,type,
    sK2087: ( product_prod_int_int > $o ) > ( int > int > $o ) > int ).

thf(func_def_3590,type,
    sK2088: ( product_prod_int_int > $o ) > ( int > int > $o ) > int ).

thf(func_def_3591,type,
    sK2089: set_Pr4329608150637261639at_nat > ( set_Pr4329608150637261639at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_3592,type,
    sK2090: set_Pr4329608150637261639at_nat > ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_3593,type,
    sK2091: nat > nat ).

thf(func_def_3594,type,
    sK2092: nat > nat ).

thf(func_def_3595,type,
    sK2093: ( literal > nat ) > literal ).

thf(func_def_3596,type,
    sK2094: ( literal > nat ) > literal ).

thf(func_def_3597,type,
    sK2095: ( literal > rat ) > literal ).

thf(func_def_3598,type,
    sK2096: ( literal > rat ) > literal ).

thf(func_def_3599,type,
    sK2097: set_nat > nat ).

thf(func_def_3600,type,
    sK2098: rat > rat > rat ).

thf(func_def_3601,type,
    sK2099: ( $o > rat ) > set_o > $o ).

thf(func_def_3602,type,
    sK2100: ( rat > literal ) > rat ).

thf(func_def_3603,type,
    sK2101: ( rat > literal ) > rat ).

thf(func_def_3604,type,
    sK2102: set_Pr958786334691620121nt_int > rat ).

thf(func_def_3605,type,
    sK2103: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3606,type,
    sK2104: ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_3607,type,
    sK2105: set_nat > ( nat > int ) > set_nat > nat ).

thf(func_def_3608,type,
    sK2106: nat > ( $o > nat > $o ) > ( $o > nat > $o ) > $o > $o ).

thf(func_def_3609,type,
    sK2107: nat > ( $o > nat > $o ) > ( $o > nat > $o ) > $o > nat ).

thf(func_def_3610,type,
    sK2108: ( rat > int ) > rat ).

thf(func_def_3611,type,
    sK2109: ( rat > int ) > rat ).

thf(func_def_3612,type,
    sK2110: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_3613,type,
    sK2111: ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > rat ).

thf(func_def_3614,type,
    sK2112: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_3615,type,
    sK2113: nat > nat ).

thf(func_def_3616,type,
    sK2114: set_Pr4532377907799695533_nat_o > ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_3617,type,
    sK2115: set_Pr4532377907799695533_nat_o > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_3618,type,
    sK2116: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_3619,type,
    sK2117: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3620,type,
    sK2118: set_se6260736226359567993nt_int > ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_3621,type,
    sK2119: set_se6260736226359567993nt_int > ( set_Pr958786334691620121nt_int > rat ) > ( rat > set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

thf(func_def_3622,type,
    sK2120: ( set_Pr958786334691620121nt_int > rat ) > ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_3623,type,
    sK2121: ( ( produc3658429121746597890et_nat > $o ) > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_3624,type,
    sK2122: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3625,type,
    sK2123: nat > nat ).

thf(func_def_3626,type,
    sK2124: ( int > $o ) > int ).

thf(func_def_3627,type,
    sK2125: ( int > $o ) > int ).

thf(func_def_3628,type,
    sK2126: ( int > $o ) > int ).

thf(func_def_3629,type,
    sK2127: int > ( int > $o ) > int ).

thf(func_def_3630,type,
    sK2128: int > ( int > $o ) > set_int > int ).

thf(func_def_3631,type,
    sK2129: int > ( int > $o ) > set_int > int ).

thf(func_def_3632,type,
    sK2130: int > ( int > $o ) > set_int > int ).

thf(func_def_3633,type,
    sK2131: int > ( int > $o ) > set_int > int ).

thf(func_def_3634,type,
    sK2132: int > ( int > $o ) > set_int > int ).

thf(func_def_3635,type,
    sK2133: ( int > $o ) > int ).

thf(func_def_3636,type,
    sK2134: ( int > $o ) > int ).

thf(func_def_3637,type,
    sK2135: int > ( int > $o ) > int ).

thf(func_def_3638,type,
    sK2136: int > ( int > $o ) > set_int > int ).

thf(func_def_3639,type,
    sK2137: int > ( int > $o ) > set_int > int ).

thf(func_def_3640,type,
    sK2138: ( int > $o ) > int ).

thf(func_def_3641,type,
    sK2139: int > ( int > $o ) > set_int > int ).

thf(func_def_3642,type,
    sK2140: int > ( int > $o ) > int ).

thf(func_def_3643,type,
    sK2141: int > ( int > $o ) > set_int > int ).

thf(func_def_3644,type,
    sK2142: int > ( int > $o ) > set_int > int ).

thf(func_def_3645,type,
    sK2143: set_int > int ).

thf(func_def_3646,type,
    sK2144: assn > assn > assn ).

thf(func_def_3647,type,
    sK2145: nat > rat ).

thf(func_def_3648,type,
    sK2146: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_3649,type,
    sK2147: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_3650,type,
    sK2148: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3651,type,
    sK2149: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3652,type,
    sK2150: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3653,type,
    sK2151: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3654,type,
    sK2152: set_list_char > ( literal > list_char ) > literal ).

thf(func_def_3655,type,
    sK2153: ( list_char > literal ) > ( literal > list_char ) > literal ).

thf(func_def_3656,type,
    sK2154: ( list_char > literal ) > set_list_char > ( literal > list_char ) > list_char ).

thf(func_def_3657,type,
    sK2155: set_int > int > ( int > $o ) > int ).

thf(func_def_3658,type,
    sK2156: int > ( int > $o ) > int ).

thf(func_def_3659,type,
    sK2157: set_int > int > ( int > $o ) > int ).

thf(func_def_3660,type,
    sK2158: int > ( int > $o ) > int ).

thf(func_def_3661,type,
    sK2159: set_int > int > ( int > $o ) > int ).

thf(func_def_3662,type,
    sK2160: set_int > int > ( int > $o ) > int ).

thf(func_def_3663,type,
    sK2161: set_int > int > ( int > $o ) > int ).

thf(func_def_3664,type,
    sK2162: ( int > $o ) > int ).

thf(func_def_3665,type,
    sK2163: ( int > $o ) > int ).

thf(func_def_3666,type,
    sK2164: ( int > $o ) > int ).

thf(func_def_3667,type,
    sK2165: rat > rat > rat ).

thf(func_def_3668,type,
    sK2166: int > int ).

thf(func_def_3669,type,
    sK2167: set_o > set_o > $o ).

thf(func_def_3670,type,
    sK2168: nat > nat > nat ).

thf(func_def_3671,type,
    sK2169: nat > nat > nat > nat ).

thf(func_def_3672,type,
    sK2170: int > int > int > int > int ).

thf(func_def_3673,type,
    sK2171: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_3674,type,
    sK2172: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3675,type,
    sK2173: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3676,type,
    sK2174: int > int > int ).

thf(func_def_3677,type,
    sK2175: int > int > int > int > int ).

thf(func_def_3678,type,
    sK2176: ( literal > list_char ) > ( list_char > literal ) > set_list_char > list_char ).

thf(func_def_3679,type,
    sK2177: ( literal > list_char ) > set_list_char > literal ).

thf(func_def_3680,type,
    sK2178: ( literal > list_char ) > ( list_char > literal ) > literal ).

thf(func_def_3681,type,
    sK2179: nat > int > int ).

thf(func_def_3682,type,
    sK2180: ( literal > list_char ) > ( list_char > literal ) > literal ).

thf(func_def_3683,type,
    sK2181: ( literal > list_char ) > ( list_char > literal ) > set_list_char > list_char ).

thf(func_def_3684,type,
    sK2182: ( literal > list_char ) > set_list_char > literal ).

thf(func_def_3685,type,
    sK2183: int > int > int ).

thf(func_def_3686,type,
    sK2184: int > int > int ).

thf(func_def_3687,type,
    sK2185: int > int > int ).

thf(func_def_3688,type,
    sK2186: int > int > int ).

thf(func_def_3689,type,
    sK2187: int > int > int ).

thf(func_def_3690,type,
    sK2188: int > int > int ).

thf(func_def_3691,type,
    sK2189: int > int > int ).

thf(func_def_3692,type,
    sK2190: int > int > int ).

thf(func_def_3693,type,
    sK2191: int > int > int ).

thf(func_def_3694,type,
    sK2192: int > int > int ).

thf(func_def_3695,type,
    sK2193: int > int > int ).

thf(func_def_3696,type,
    sK2194: int > int > int ).

thf(func_def_3697,type,
    sK2195: int > int > int ).

thf(func_def_3698,type,
    sK2196: int > int > int ).

thf(func_def_3699,type,
    sK2197: int > int > int ).

thf(func_def_3700,type,
    sK2198: int > int > int ).

thf(func_def_3701,type,
    sK2199: nat > nat > int ).

thf(func_def_3702,type,
    sK2200: nat > nat ).

thf(func_def_3703,type,
    sK2201: nat > nat > nat ).

thf(func_def_3704,type,
    sK2202: nat > nat > nat ).

thf(func_def_3705,type,
    sK2203: int > ( int > $o ) > int ).

thf(func_def_3706,type,
    sK2204: int > ( int > $o ) > int ).

thf(func_def_3707,type,
    sK2205: int > ( int > $o ) > int ).

thf(func_def_3708,type,
    sK2206: ( literal > list_char ) > set_list_char > ( list_char > literal ) > list_char ).

thf(func_def_3709,type,
    sK2207: ( literal > list_char ) > ( list_char > literal ) > literal ).

thf(func_def_3710,type,
    sK2208: ( literal > list_char ) > set_list_char > literal ).

thf(func_def_3711,type,
    sK2209: ( int > nat ) > set_int > int ).

thf(func_def_3712,type,
    sK2210: ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > rat ).

thf(func_def_3713,type,
    sK2211: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_3714,type,
    sK2212: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_3715,type,
    sK2213: ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > rat ).

thf(func_def_3716,type,
    sK2214: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_3717,type,
    sK2215: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_3718,type,
    sK2216: nat > nat > nat ).

thf(func_def_3719,type,
    sK2217: nat > nat > nat ).

thf(func_def_3720,type,
    sK2218: nat > code_integer ).

thf(func_def_3721,type,
    sK2219: nat > nat ).

thf(func_def_3722,type,
    sK2220: nat > nat > nat > nat ).

thf(func_def_3723,type,
    sK2221: nat > nat > nat ).

thf(func_def_3724,type,
    sK2222: int > int > int ).

thf(func_def_3725,type,
    sK2223: int > int > int ).

thf(func_def_3726,type,
    sK2224: set_int > ( int > code_integer ) > code_integer ).

thf(func_def_3727,type,
    sK2225: set_int > ( int > code_integer ) > nat ).

thf(func_def_3728,type,
    sK2226: assn > assn > assn > assn ).

thf(func_def_3729,type,
    sK2227: ( int > set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat > int ).

thf(func_def_3730,type,
    sK2228: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_3731,type,
    sK2229: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > int ).

thf(func_def_3732,type,
    sK2230: ( int > nat ) > set_int > int ).

thf(func_def_3733,type,
    sK2231: ( int > nat ) > set_int > int > int ).

thf(func_def_3734,type,
    sK2232: assn > assn ).

thf(func_def_3735,type,
    sK2233: set_o > $o ).

thf(func_def_3736,type,
    sK2234: int > int > int > int ).

thf(func_def_3737,type,
    sK2235: int > int > int > int ).

thf(func_def_3738,type,
    sK2236: int > int > int > int > int ).

thf(func_def_3739,type,
    sK2237: nat > nat ).

thf(func_def_3740,type,
    sK2238: nat > nat > nat ).

thf(func_def_3741,type,
    sK2239: nat > nat ).

thf(func_def_3742,type,
    sK2240: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_3743,type,
    sK2241: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_3744,type,
    sK2242: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_3745,type,
    sK2243: int > ( int > $o ) > int ).

thf(func_def_3746,type,
    sK2244: set_int > int > ( int > $o ) > int ).

thf(func_def_3747,type,
    sK2245: set_int > int > ( int > $o ) > int ).

thf(func_def_3748,type,
    sK2246: set_int > int > ( int > $o ) > int ).

thf(func_def_3749,type,
    sK2247: set_int > int > ( int > $o ) > int ).

thf(func_def_3750,type,
    sK2248: set_int > int > ( int > $o ) > int ).

thf(func_def_3751,type,
    sK2249: ( int > $o ) > int ).

thf(func_def_3752,type,
    sK2250: int > ( int > $o ) > int ).

thf(func_def_3753,type,
    sK2251: set_int > int > ( int > $o ) > int ).

thf(func_def_3754,type,
    sK2252: set_int > int > ( int > $o ) > int ).

thf(func_def_3755,type,
    sK2253: ( int > $o ) > int ).

thf(func_def_3756,type,
    sK2254: set_o > ( $o > code_integer ) > nat ).

thf(func_def_3757,type,
    sK2255: set_o > ( $o > code_integer ) > code_integer ).

thf(func_def_3758,type,
    sK2256: set_se6260736226359567993nt_int > ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_3759,type,
    sK2257: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_3760,type,
    sK2258: set_se6260736226359567993nt_int > ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > set_Pr958786334691620121nt_int ).

thf(func_def_3761,type,
    sK2259: int > int > int ).

thf(func_def_3762,type,
    sK2260: ( product_unit > $o ) > ( $o > product_unit ) > product_unit ).

thf(func_def_3763,type,
    sK2261: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_3764,type,
    sK2262: ( product_unit > $o ) > set_o > ( $o > product_unit ) > $o ).

thf(func_def_3765,type,
    sK2263: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_3766,type,
    sK2264: ( product_unit > $o ) > ( $o > product_unit ) > product_unit ).

thf(func_def_3767,type,
    sK2265: ( product_unit > $o ) > set_o > ( $o > product_unit ) > $o ).

thf(func_def_3768,type,
    sK2266: int > int > int > int ).

thf(func_def_3769,type,
    sK2267: code_integer > code_integer > code_integer ).

thf(func_def_3770,type,
    sK2268: nat > nat > code_integer ).

thf(func_def_3771,type,
    sK2269: nat > nat > code_integer ).

thf(func_def_3772,type,
    sK2270: nat > nat ).

thf(func_def_3773,type,
    sK2271: code_integer > code_integer ).

thf(func_def_3774,type,
    sK2272: code_integer > code_integer ).

thf(func_def_3775,type,
    sK2273: int > int > int ).

thf(func_def_3776,type,
    sK2274: int > int > int > int ).

thf(func_def_3777,type,
    sK2275: int > int > int > int > int ).

thf(func_def_3778,type,
    sK2276: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_3779,type,
    sK2277: set_o > ( product_unit > $o ) > product_unit ).

thf(func_def_3780,type,
    sK2278: ( product_unit > $o ) > ( $o > product_unit ) > set_o > $o ).

thf(func_def_3781,type,
    sK2279: nat > nat > nat ).

thf(func_def_3782,type,
    sK2280: nat > nat > nat ).

thf(func_def_3783,type,
    sK2281: nat > nat ).

thf(func_def_3784,type,
    sK2282: nat > nat ).

thf(func_def_3785,type,
    sK2283: nat > nat > nat > nat ).

thf(func_def_3786,type,
    sK2284: nat > nat > nat > nat ).

thf(func_def_3787,type,
    sK2285: nat > nat ).

thf(func_def_3788,type,
    sK2286: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3789,type,
    sK2287: int > ( int > $o ) > int ).

thf(func_def_3790,type,
    sK2288: ( int > $o ) > int ).

thf(func_def_3791,type,
    sK2289: ( int > $o ) > int ).

thf(func_def_3792,type,
    sK2290: ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_3793,type,
    sK2291: produc3658429121746597890et_nat > nat ).

thf(func_def_3794,type,
    sK2292: int > int ).

thf(func_def_3795,type,
    sK2293: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3796,type,
    sK2294: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3797,type,
    sK2295: assn > assn > produc3658429121746597890et_nat > set_nat ).

thf(func_def_3798,type,
    sK2296: assn > assn > produc3658429121746597890et_nat > set_nat ).

thf(func_def_3799,type,
    sK2297: assn > assn > produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_3800,type,
    sK2298: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_3801,type,
    sK2299: ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_3802,type,
    sK2300: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > int ).

thf(func_def_3803,type,
    sK2301: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > set_Pr1261947904930325089at_nat ).

thf(func_def_3804,type,
    sK2302: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > $o ) > int ).

thf(func_def_3805,type,
    sK2303: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > int ).

thf(func_def_3806,type,
    sK2304: ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_3807,type,
    sK2305: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > set_Pr1261947904930325089at_nat ).

thf(func_def_3808,type,
    sK2306: int > int > int ).

thf(func_def_3809,type,
    sK2307: int > int > int > int ).

thf(func_def_3810,type,
    sK2308: int > int > int > int ).

thf(func_def_3811,type,
    sK2309: code_integer > code_integer > code_integer ).

thf(func_def_3812,type,
    sK2310: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3813,type,
    sK2311: nat > nat ).

thf(func_def_3814,type,
    sK2312: set_list_char > ( list_char > literal ) > ( literal > list_char ) > list_char ).

thf(func_def_3815,type,
    sK2313: set_list_char > ( literal > list_char ) > literal ).

thf(func_def_3816,type,
    sK2314: ( list_char > literal ) > ( literal > list_char ) > literal ).

thf(func_def_3817,type,
    sK2315: rat > rat > rat ).

thf(func_def_3818,type,
    sK2316: $o > $o ).

thf(func_def_3819,type,
    sK2317: ( set_Pr958786334691620121nt_int > rat ) > ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_3820,type,
    sK2318: ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_3821,type,
    sK2319: ( set_Pr958786334691620121nt_int > rat ) > ( rat > set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

thf(func_def_3822,type,
    sK2320: int > int > int ).

thf(func_def_3823,type,
    sK2321: int > int > int ).

thf(func_def_3824,type,
    sK2322: assn > assn > assn ).

thf(func_def_3825,type,
    sK2323: nat > nat > code_integer ).

thf(func_def_3826,type,
    sK2324: code_integer > code_integer > code_integer ).

thf(func_def_3827,type,
    sK2325: int > int > int > int ).

thf(func_def_3828,type,
    sK2326: int > int > int ).

thf(func_def_3829,type,
    sK2327: ( set_nat > $o ) > set_nat ).

thf(func_def_3830,type,
    sK2328: ( nat > $o ) > nat ).

thf(func_def_3831,type,
    sK2329: ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_3832,type,
    sK2330: nat > ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_3833,type,
    sK2331: nat > ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_3834,type,
    sK2332: nat > nat > rat ).

thf(func_def_3835,type,
    sK2333: int > int > int ).

thf(func_def_3836,type,
    sK2334: set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_3837,type,
    sK2335: nat > nat > nat ).

thf(func_def_3838,type,
    sK2336: int > int > int ).

thf(func_def_3839,type,
    sK2337: int > int > int > int ).

thf(func_def_3840,type,
    sK2338: nat > code_integer ).

thf(func_def_3841,type,
    sK2339: code_integer > code_integer ).

thf(func_def_3842,type,
    sK2340: set_list_char > ( literal > list_char ) > literal ).

thf(func_def_3843,type,
    sK2341: set_list_char > ( list_char > literal ) > ( literal > list_char ) > list_char ).

thf(func_def_3844,type,
    sK2342: ( list_char > literal ) > ( literal > list_char ) > literal ).

thf(func_def_3845,type,
    sK2343: int > int > int > int > int ).

thf(func_def_3846,type,
    sK2344: nat > nat > nat > nat > nat ).

thf(func_def_3847,type,
    sK2345: ( $o > code_natural ) > set_o > nat ).

thf(func_def_3848,type,
    sK2346: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_3849,type,
    sK2347: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_3850,type,
    sK2348: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3851,type,
    sK2349: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3852,type,
    sK2350: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3853,type,
    sK2351: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_3854,type,
    sK2352: set_int > int ).

thf(func_def_3855,type,
    sK2353: int > int ).

thf(func_def_3856,type,
    sK2354: int > int ).

thf(func_def_3857,type,
    sK2355: int > int ).

thf(func_def_3858,type,
    sK2356: int > int ).

thf(func_def_3859,type,
    sK2357: int > int ).

thf(func_def_3860,type,
    sK2358: int > int ).

thf(func_def_3861,type,
    sK2359: int > int ).

thf(func_def_3862,type,
    sK2360: int > int ).

thf(func_def_3863,type,
    sK2361: int > int ).

thf(func_def_3864,type,
    sK2362: int > int ).

thf(func_def_3865,type,
    sK2363: int > int ).

thf(func_def_3866,type,
    sK2364: int > int ).

thf(func_def_3867,type,
    sK2365: int > int ).

thf(func_def_3868,type,
    sK2366: set_list_char > ( literal > list_char ) > ( list_char > literal ) > list_char ).

thf(func_def_3869,type,
    sK2367: set_list_char > ( literal > list_char ) > literal ).

thf(func_def_3870,type,
    sK2368: ( literal > list_char ) > ( list_char > literal ) > literal ).

thf(func_def_3871,type,
    sK2369: nat > ( nat > $o ) > nat ).

thf(func_def_3872,type,
    sK2370: ( nat > $o ) > nat ).

thf(func_def_3873,type,
    sK2371: int > int > int ).

thf(func_def_3874,type,
    sK2372: set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_3875,type,
    sK2373: set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > set_Pr1261947904930325089at_nat ).

thf(func_def_3876,type,
    sK2374: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > int ).

thf(func_def_3877,type,
    sK2375: int > int > int > int ).

thf(func_def_3878,type,
    sK2376: rat > rat > rat > rat ).

thf(func_def_3879,type,
    sK2377: rat > rat > rat ).

thf(func_def_3880,type,
    sK2378: nat > nat > nat ).

thf(func_def_3881,type,
    sK2379: nat > nat > nat > nat ).

thf(func_def_3882,type,
    sK2380: nat > nat > nat ).

thf(func_def_3883,type,
    sK2381: ( literal > list_char ) > ( list_char > literal ) > list_char ).

thf(func_def_3884,type,
    sK2382: ( literal > list_char ) > ( list_char > literal ) > literal ).

thf(func_def_3885,type,
    sK2383: ( literal > list_char ) > literal ).

thf(func_def_3886,type,
    sK2384: int > int > int ).

thf(func_def_3887,type,
    sK2385: int > int > int > int ).

thf(func_def_3888,type,
    sK2386: int > int > int > int ).

thf(func_def_3889,type,
    sK2387: int > int > int > int ).

thf(func_def_3890,type,
    sK2388: int > int > int > int ).

thf(func_def_3891,type,
    sK2389: int > int > int > int ).

thf(func_def_3892,type,
    sK2390: int > int > int > int ).

thf(func_def_3893,type,
    sK2391: int > int > int > int ).

thf(func_def_3894,type,
    sK2392: int > int > int > int ).

thf(func_def_3895,type,
    sK2393: int > int > int > int ).

thf(func_def_3896,type,
    sK2394: int > int > int > int ).

thf(func_def_3897,type,
    sK2395: int > int > int > int ).

thf(func_def_3898,type,
    sK2396: int > int > int > int ).

thf(func_def_3899,type,
    sK2397: int > int > int > int ).

thf(func_def_3900,type,
    sK2398: int > int > int > int ).

thf(func_def_3901,type,
    sK2399: ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_3902,type,
    sK2400: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_3903,type,
    sK2401: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_3904,type,
    sK2402: code_integer > code_integer ).

thf(func_def_3905,type,
    sK2403: ( int > $o ) > int ).

thf(func_def_3906,type,
    sK2404: rat > rat > rat ).

thf(func_def_3907,type,
    sK2405: rat > rat > rat ).

thf(func_def_3908,type,
    sK2406: int > int > int > int > int ).

thf(func_def_3909,type,
    sK2407: int > int > int > int > int ).

thf(func_def_3910,type,
    sK2408: int > int > int > int > int ).

thf(func_def_3911,type,
    sK2409: int > int > int > int > int ).

thf(func_def_3912,type,
    sK2410: int > int > int > int > int ).

thf(func_def_3913,type,
    sK2411: int > int > int > int > int ).

thf(func_def_3914,type,
    sK2412: int > int > int > int > int ).

thf(func_def_3915,type,
    sK2413: int > int > int > int > int ).

thf(func_def_3916,type,
    sK2414: int > int > int > int > int ).

thf(func_def_3917,type,
    sK2415: int > int > int > int > int ).

thf(func_def_3918,type,
    sK2416: int > int > int > int > int ).

thf(func_def_3919,type,
    sK2417: int > int > int > int > int ).

thf(func_def_3920,type,
    sK2418: int > int > int > int > int ).

thf(func_def_3921,type,
    sK2419: int > int > int > int > int ).

thf(func_def_3922,type,
    sK2420: int > int > int > int > int ).

thf(func_def_3923,type,
    sK2421: int > int > int > int > int ).

thf(func_def_3924,type,
    sK2422: int > int > int > int > int ).

thf(func_def_3925,type,
    sK2423: int > int > int > int > int ).

thf(func_def_3926,type,
    sK2424: int > int > int > int > int ).

thf(func_def_3927,type,
    sK2425: int > int > int > int > int ).

thf(func_def_3928,type,
    sK2426: int > int > int > int > int ).

thf(func_def_3929,type,
    sK2427: int > int > int > int > int ).

thf(func_def_3930,type,
    sK2428: int > int > int > int > int ).

thf(func_def_3931,type,
    sK2429: int > int > int > int > int ).

thf(func_def_3932,type,
    sK2430: int > int > int > int > int ).

thf(func_def_3933,type,
    sK2431: int > int > int > int > int ).

thf(func_def_3934,type,
    sK2432: int > int > int > int > int ).

thf(func_def_3935,type,
    sK2433: int > int > int > int > int ).

thf(func_def_3936,type,
    sK2434: int > int > int > int > int ).

thf(func_def_3937,type,
    sK2435: int > int > int > int > int ).

thf(func_def_3938,type,
    sK2436: int > int > int > int > int ).

thf(func_def_3939,type,
    sK2437: int > int > int > int > int ).

thf(func_def_3940,type,
    sK2438: int > int > int > int > int ).

thf(func_def_3941,type,
    sK2439: int > int > int > int > int ).

thf(func_def_3942,type,
    sK2440: int > int > int > int > int ).

thf(func_def_3943,type,
    sK2441: int > int > int > int > int ).

thf(func_def_3944,type,
    sK2442: int > int > int > int > int ).

thf(func_def_3945,type,
    sK2443: int > int > int > int > int ).

thf(func_def_3946,type,
    sK2444: int > int > int > int > int ).

thf(func_def_3947,type,
    sK2445: int > int > int > int > int ).

thf(func_def_3948,type,
    sK2446: int > int > int > int > int ).

thf(func_def_3949,type,
    sK2447: int > int > int > int > int ).

thf(func_def_3950,type,
    sK2448: int > int > int > int > int ).

thf(func_def_3951,type,
    sK2449: int > int > int > int > int ).

thf(func_def_3952,type,
    sK2450: int > int > int > int > int ).

thf(func_def_3953,type,
    sK2451: int > int > int > int > int ).

thf(func_def_3954,type,
    sK2452: int > int > int > int > int ).

thf(func_def_3955,type,
    sK2453: int > int > int > int > int ).

thf(func_def_3956,type,
    sK2454: int > int > int > int > int ).

thf(func_def_3957,type,
    sK2455: int > int > int > int > int ).

thf(func_def_3958,type,
    sK2456: int > int > int > int > int ).

thf(func_def_3959,type,
    sK2457: int > int > int > int > int ).

thf(func_def_3960,type,
    sK2458: int > int > int > int > int ).

thf(func_def_3961,type,
    sK2459: int > int > int > int > int ).

thf(func_def_3962,type,
    sK2460: int > int > int > int > int ).

thf(func_def_3963,type,
    sK2461: int > int > int > int > int ).

thf(func_def_3964,type,
    sK2462: int > int > int > int > int ).

thf(func_def_3965,type,
    sK2463: int > int > int > int > int ).

thf(func_def_3966,type,
    sK2464: int > int > int > int > int ).

thf(func_def_3967,type,
    sK2465: int > int > int > int > int ).

thf(func_def_3968,type,
    sK2466: int > int > int > int > int ).

thf(func_def_3969,type,
    sK2467: int > int > int > int > int ).

thf(func_def_3970,type,
    sK2468: int > int > int > int > int ).

thf(func_def_3971,type,
    sK2469: int > int > int > int > int ).

thf(func_def_3972,type,
    sK2470: int > int > int > int > int ).

thf(func_def_3973,type,
    sK2471: int > int > int > int > int ).

thf(func_def_3974,type,
    sK2472: int > int > int > int > int ).

thf(func_def_3975,type,
    sK2473: int > int > int > int > int ).

thf(func_def_3976,type,
    sK2474: int > int > int > int > int ).

thf(func_def_3977,type,
    sK2475: int > int > int > int > int ).

thf(func_def_3978,type,
    sK2476: int > int > int > int > int ).

thf(func_def_3979,type,
    sK2477: int > int > int > int > int ).

thf(func_def_3980,type,
    sK2478: int > int > int > int > int ).

thf(func_def_3981,type,
    sK2479: int > int > int > int > int ).

thf(func_def_3982,type,
    sK2480: int > int > int > int > int ).

thf(func_def_3983,type,
    sK2481: int > int > int > int > int ).

thf(func_def_3984,type,
    sK2482: int > int > int > int > int ).

thf(func_def_3985,type,
    sK2483: int > int > int > int > int ).

thf(func_def_3986,type,
    sK2484: int > int > int > int > int ).

thf(func_def_3987,type,
    sK2485: int > int > int > int > int ).

thf(func_def_3988,type,
    sK2486: int > int > int > int > int ).

thf(func_def_3989,type,
    sK2487: int > int > int > int > int ).

thf(func_def_3990,type,
    sK2488: int > int > int > int > int ).

thf(func_def_3991,type,
    sK2489: int > int > int > int > int ).

thf(func_def_3992,type,
    sK2490: int > int > int > int > int ).

thf(func_def_3993,type,
    sK2491: int > int > int > int > int ).

thf(func_def_3994,type,
    sK2492: int > int > int > int > int ).

thf(func_def_3995,type,
    sK2493: int > int > int > int > int ).

thf(func_def_3996,type,
    sK2494: int > int > int > int > int ).

thf(func_def_3997,type,
    sK2495: int > int > int > int > int ).

thf(func_def_3998,type,
    sK2496: int > int > int > int > int ).

thf(func_def_3999,type,
    sK2497: int > int > int > int > int ).

thf(func_def_4000,type,
    sK2498: int > int > int > int > int ).

thf(func_def_4001,type,
    sK2499: int > int > int > int > int ).

thf(func_def_4002,type,
    sK2500: int > int > int > int > int ).

thf(func_def_4003,type,
    sK2501: int > int > int > int > int ).

thf(func_def_4004,type,
    sK2502: int > int > int > int > int ).

thf(func_def_4005,type,
    sK2503: int > int > int > int > int ).

thf(func_def_4006,type,
    sK2504: int > int ).

thf(func_def_4007,type,
    sK2505: code_integer > code_integer ).

thf(func_def_4008,type,
    sK2506: nat > nat > nat ).

thf(func_def_4009,type,
    sK2507: nat > nat > nat ).

thf(func_def_4010,type,
    sK2508: int > int > int > int ).

thf(func_def_4011,type,
    sK2509: int > int > int > int ).

thf(func_def_4012,type,
    sK2510: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_4013,type,
    sK2511: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_4014,type,
    sK2512: code_integer > code_integer > code_integer ).

thf(func_def_4015,type,
    sK2513: code_integer > code_integer > code_integer ).

thf(func_def_4016,type,
    sK2514: int > int > int > int > int ).

thf(func_def_4017,type,
    sK2515: code_integer > code_integer > code_integer ).

thf(func_def_4018,type,
    sK2516: code_integer > code_integer > code_integer ).

thf(func_def_4019,type,
    sK2517: code_integer > code_integer ).

thf(func_def_4020,type,
    sK2518: code_integer > code_integer ).

thf(func_def_4021,type,
    sK2519: int > int > int ).

thf(func_def_4022,type,
    sK2520: nat > nat > nat > nat ).

thf(func_def_4023,type,
    sK2521: nat > nat ).

thf(func_def_4024,type,
    sK2522: set_nat > heap_e7401611519738050253t_unit > nat ).

thf(func_def_4025,type,
    sK2523: set_nat > ( nat > $o ) > nat ).

thf(func_def_4026,type,
    sK2524: set_nat > ( nat > $o ) > nat ).

thf(func_def_4027,type,
    sK2525: set_nat > ( nat > $o ) > set_nat > nat ).

thf(func_def_4028,type,
    sK2526: set_nat > ( nat > $o ) > set_nat > nat ).

thf(func_def_4029,type,
    sK2527: ( ( produc3658429121746597890et_nat > $o ) > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_4030,type,
    sK2528: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4031,type,
    sK2529: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4032,type,
    sK2530: ( $o > product_unit ) > ( product_unit > $o ) > set_o > $o ).

thf(func_def_4033,type,
    sK2531: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4034,type,
    sK2532: ( $o > product_unit ) > ( product_unit > $o ) > set_o > $o ).

thf(func_def_4035,type,
    sK2533: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4036,type,
    sK2534: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4037,type,
    sK2535: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4038,type,
    sK2536: ( $o > product_unit ) > ( product_unit > $o ) > set_o > $o ).

thf(func_def_4039,type,
    sK2537: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4040,type,
    sK2538: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4041,type,
    sK2539: ( $o > product_unit ) > ( product_unit > $o ) > set_o > $o ).

thf(func_def_4042,type,
    sK2540: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4043,type,
    sK2541: produc3658429121746597890et_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_4044,type,
    sK2542: ( literal > list_char ) > set_list_char > ( list_char > literal ) > list_char ).

thf(func_def_4045,type,
    sK2543: ( literal > list_char ) > set_list_char > literal ).

thf(func_def_4046,type,
    sK2544: ( literal > list_char ) > ( list_char > literal ) > literal ).

thf(func_def_4047,type,
    sK2545: nat > nat > nat ).

thf(func_def_4048,type,
    sK2546: nat > nat > nat > nat ).

thf(func_def_4049,type,
    sK2547: set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4050,type,
    sK2548: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4051,type,
    sK2549: set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_4052,type,
    sK2550: assn > assn > assn > assn > assn ).

thf(func_def_4053,type,
    sK2551: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4054,type,
    sK2552: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_4055,type,
    sK2553: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4056,type,
    sK2554: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4057,type,
    sK2555: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_4058,type,
    sK2556: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4059,type,
    sK2557: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4060,type,
    sK2558: nat > nat ).

thf(func_def_4061,type,
    sK2559: int > int ).

thf(func_def_4062,type,
    sK2560: int > int > int ).

thf(func_def_4063,type,
    sK2561: int > int > int ).

thf(func_def_4064,type,
    sK2562: int > int > int > int ).

thf(func_def_4065,type,
    sK2563: ( nat > $o ) > nat > nat ).

thf(func_def_4066,type,
    sK2564: ( nat > $o ) > nat > nat ).

thf(func_def_4067,type,
    sK2565: ( nat > $o ) > nat > nat ).

thf(func_def_4068,type,
    sK2566: int > int > int > int ).

thf(func_def_4069,type,
    sK2567: int > int > int > int ).

thf(func_def_4070,type,
    sK2568: int > int > int ).

thf(func_def_4071,type,
    sK2569: int > int > int > int ).

thf(func_def_4072,type,
    sK2570: nat > nat > nat ).

thf(func_def_4073,type,
    sK2571: int > int > int ).

thf(func_def_4074,type,
    sK2572: set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_4075,type,
    sK2573: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4076,type,
    sK2574: ( $o > product_unit ) > ( product_unit > $o ) > set_o > $o ).

thf(func_def_4077,type,
    sK2575: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4078,type,
    sK2576: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4079,type,
    sK2577: ( $o > product_unit ) > ( product_unit > $o ) > set_o > $o ).

thf(func_def_4080,type,
    sK2578: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4081,type,
    sK2579: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4082,type,
    sK2580: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4083,type,
    sK2581: ( $o > product_unit ) > ( product_unit > $o ) > set_o > $o ).

thf(func_def_4084,type,
    sK2582: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4085,type,
    sK2583: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4086,type,
    sK2584: ( $o > product_unit ) > ( product_unit > $o ) > set_o > $o ).

thf(func_def_4087,type,
    sK2585: code_integer > code_integer > code_integer ).

thf(func_def_4088,type,
    sK2586: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4089,type,
    sK2587: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4090,type,
    sK2588: ( int > $o ) > int ).

thf(func_def_4091,type,
    sK2589: ( int > $o ) > int ).

thf(func_def_4092,type,
    sK2590: ( int > $o ) > int > set_int > int ).

thf(func_def_4093,type,
    sK2591: ( int > $o ) > int > int ).

thf(func_def_4094,type,
    sK2592: ( int > $o ) > int > set_int > int ).

thf(func_def_4095,type,
    sK2593: ( int > $o ) > int > set_int > int ).

thf(func_def_4096,type,
    sK2594: ( int > $o ) > int > set_int > int ).

thf(func_def_4097,type,
    sK2595: ( int > $o ) > int ).

thf(func_def_4098,type,
    sK2596: ( int > $o ) > int ).

thf(func_def_4099,type,
    sK2597: ( int > $o ) > int > set_int > int ).

thf(func_def_4100,type,
    sK2598: ( int > $o ) > int > int ).

thf(func_def_4101,type,
    sK2599: ( int > $o ) > int > set_int > int ).

thf(func_def_4102,type,
    sK2600: ( int > $o ) > int > set_int > int ).

thf(func_def_4103,type,
    sK2601: ( int > $o ) > int > set_int > int ).

thf(func_def_4104,type,
    sK2602: nat > nat ).

thf(func_def_4105,type,
    sK2603: nat > nat ).

thf(func_def_4106,type,
    sK2604: nat > nat > nat > nat ).

thf(func_def_4107,type,
    sK2605: nat > nat > nat ).

thf(func_def_4108,type,
    sK2606: int > int > int > int ).

thf(func_def_4109,type,
    sK2607: nat > nat ).

thf(func_def_4110,type,
    sK2608: nat > nat > rat ).

thf(func_def_4111,type,
    sK2609: int > int > int ).

thf(func_def_4112,type,
    sK2610: set_Pr4532377907799695533_nat_o > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4113,type,
    sK2611: set_Pr4532377907799695533_nat_o > ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > produc3658429121746597890et_nat > $o ).

thf(func_def_4114,type,
    sK2612: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > assn ).

thf(func_def_4115,type,
    sK2613: int > int > int > int ).

thf(func_def_4116,type,
    sK2614: set_int > int ).

thf(func_def_4117,type,
    sK2615: set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > ( produc4166570645942440679at_nat > $o ) > produc4166570645942440679at_nat ).

thf(func_def_4118,type,
    sK2616: set_Pr8551490117392284871at_nat > ( produc4166570645942440679at_nat > $o ) > produc4166570645942440679at_nat ).

thf(func_def_4119,type,
    sK2617: ( produc4166570645942440679at_nat > $o ) > set_Pr8551490117392284871at_nat > produc4166570645942440679at_nat ).

thf(func_def_4120,type,
    sK2618: ( nat > $o ) > nat ).

thf(func_def_4121,type,
    sK2619: nat > ( nat > $o ) > nat ).

thf(func_def_4122,type,
    sK2620: code_integer > code_integer ).

thf(func_def_4123,type,
    sK2621: ( int > $o ) > int ).

thf(func_def_4124,type,
    sK2622: ( int > $o ) > int ).

thf(func_def_4125,type,
    sK2623: ( int > $o ) > int > set_int > int ).

thf(func_def_4126,type,
    sK2624: ( int > $o ) > int > int ).

thf(func_def_4127,type,
    sK2625: ( int > $o ) > int > set_int > int ).

thf(func_def_4128,type,
    sK2626: ( int > $o ) > int ).

thf(func_def_4129,type,
    sK2627: ( int > $o ) > int ).

thf(func_def_4130,type,
    sK2628: ( int > $o ) > int > int ).

thf(func_def_4131,type,
    sK2629: ( int > $o ) > int > set_int > int ).

thf(func_def_4132,type,
    sK2630: ( int > $o ) > int > set_int > int ).

thf(func_def_4133,type,
    sK2631: ( int > $o ) > int > set_int > int ).

thf(func_def_4134,type,
    sK2632: ( int > $o ) > int > set_int > int ).

thf(func_def_4135,type,
    sK2633: ( int > $o ) > int > set_int > int ).

thf(func_def_4136,type,
    sK2634: int > int > int > int ).

thf(func_def_4137,type,
    sK2635: set_nat > heap_e7401611519738050253t_unit > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_4138,type,
    sK2636: set_nat > ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit > set_nat ).

thf(func_def_4139,type,
    sK2637: int > int > int > int ).

thf(func_def_4140,type,
    sK2638: int > int > int ).

thf(func_def_4141,type,
    sK2639: assn > assn > assn > assn ).

thf(func_def_4142,type,
    sK2640: rat > rat > rat ).

thf(func_def_4143,type,
    sK2641: rat > rat > rat > rat ).

thf(func_def_4144,type,
    sK2642: rat > rat > rat > rat ).

thf(func_def_4145,type,
    sK2643: int > int > int ).

thf(func_def_4146,type,
    sK2644: int > int > int > int ).

thf(func_def_4147,type,
    sK2645: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_4148,type,
    sK2646: ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > assn ).

thf(func_def_4149,type,
    sK2647: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4150,type,
    sK2648: ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > assn ).

thf(func_def_4151,type,
    sK2649: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_4152,type,
    sK2650: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4153,type,
    sK2651: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4154,type,
    sK2652: code_integer > code_integer > code_integer ).

thf(func_def_4155,type,
    sK2653: int > int > int > int > int > int ).

thf(func_def_4156,type,
    sK2654: int > int > int > int ).

thf(func_def_4157,type,
    sK2655: set_o > $o ).

thf(func_def_4158,type,
    sK2656: set_o > ( product_unit > $o ) > product_unit ).

thf(func_def_4159,type,
    sK2657: set_o > ( $o > product_unit ) > ( product_unit > $o ) > $o ).

thf(func_def_4160,type,
    sK2658: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4161,type,
    sK2659: code_integer > code_integer > code_integer ).

thf(func_def_4162,type,
    sK2660: code_integer > code_integer > code_integer ).

thf(func_def_4163,type,
    sK2661: ( nat > int ) > set_nat > int ).

thf(func_def_4164,type,
    sK2662: ( nat > int ) > set_nat > nat ).

thf(func_def_4165,type,
    sK2663: ( nat > $o ) > nat ).

thf(func_def_4166,type,
    sK2664: nat > ( nat > $o ) > nat ).

thf(func_def_4167,type,
    sK2665: nat > nat > nat > nat ).

thf(func_def_4168,type,
    sK2666: code_integer > code_integer > code_integer ).

thf(func_def_4169,type,
    sK2667: nat > nat > int ).

thf(func_def_4170,type,
    sK2668: ( $o > product_unit ) > ( product_unit > $o ) > $o ).

thf(func_def_4171,type,
    sK2669: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4172,type,
    sK2670: ( product_unit > $o ) > product_unit ).

thf(func_def_4173,type,
    sK2671: set_nat > ( nat > nat ) > nat ).

thf(func_def_4174,type,
    sK2672: set_nat > ( nat > nat ) > nat > nat ).

thf(func_def_4175,type,
    sK2673: code_integer > code_integer > code_integer ).

thf(func_def_4176,type,
    sK2674: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4177,type,
    sK2675: code_integer > code_integer ).

thf(func_def_4178,type,
    sK2676: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_4179,type,
    sK2677: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4180,type,
    sK2678: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4181,type,
    sK2679: ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4182,type,
    sK2680: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > set_Pr1261947904930325089at_nat ).

thf(func_def_4183,type,
    sK2681: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > int ).

thf(func_def_4184,type,
    sK2682: int > int > int > int ).

thf(func_def_4185,type,
    sK2683: set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4186,type,
    sK2684: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4187,type,
    sK2685: ( set_Pr1261947904930325089at_nat > int ) > set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_4188,type,
    sK2686: ( $o > int ) > set_o > int ).

thf(func_def_4189,type,
    sK2687: ( $o > int ) > set_o > nat ).

thf(func_def_4190,type,
    sK2688: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4191,type,
    sK2689: code_integer > code_integer > code_integer ).

thf(func_def_4192,type,
    sK2690: set_nat > nat ).

thf(func_def_4193,type,
    sK2691: rat > rat ).

thf(func_def_4194,type,
    sK2692: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4195,type,
    sK2693: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4196,type,
    sK2694: int > int ).

thf(func_def_4197,type,
    sK2695: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4198,type,
    sK2696: ( product_prod_nat_nat > nat ) > product_prod_nat_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4199,type,
    sK2697: ( nat > code_natural ) > set_nat > nat ).

thf(func_def_4200,type,
    sK2698: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4201,type,
    sK2699: code_integer > code_integer > code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4202,type,
    sK2700: int > set_int > ( int > $o ) > int ).

thf(func_def_4203,type,
    sK2701: int > ( int > $o ) > int ).

thf(func_def_4204,type,
    sK2702: int > set_int > ( int > $o ) > int ).

thf(func_def_4205,type,
    sK2703: int > set_int > ( int > $o ) > int ).

thf(func_def_4206,type,
    sK2704: int > ( int > $o ) > int ).

thf(func_def_4207,type,
    sK2705: int > set_int > ( int > $o ) > int ).

thf(func_def_4208,type,
    sK2706: int > set_int > ( int > $o ) > int ).

thf(func_def_4209,type,
    sK2707: int > set_int > ( int > $o ) > int ).

thf(func_def_4210,type,
    sK2708: int > ( int > $o ) > int ).

thf(func_def_4211,type,
    sK2709: int > set_int > ( int > $o ) > int ).

thf(func_def_4212,type,
    sK2710: int > set_int > ( int > $o ) > int ).

thf(func_def_4213,type,
    sK2711: int > ( int > $o ) > int ).

thf(func_def_4214,type,
    sK2712: int > set_int > ( int > $o ) > int ).

thf(func_def_4215,type,
    sK2713: int > set_int > ( int > $o ) > int ).

thf(func_def_4216,type,
    sK2714: ( int > $o ) > int ).

thf(func_def_4217,type,
    sK2715: ( int > $o ) > int ).

thf(func_def_4218,type,
    sK2716: ( int > $o ) > int ).

thf(func_def_4219,type,
    sK2717: ( int > $o ) > int ).

thf(func_def_4220,type,
    sK2718: ( int > $o ) > int ).

thf(func_def_4221,type,
    sK2719: ( produc4166570645942440679at_nat > $o ) > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > produc4166570645942440679at_nat ).

thf(func_def_4222,type,
    sK2720: ( produc4166570645942440679at_nat > $o ) > set_Pr8551490117392284871at_nat > set_Pr8551490117392284871at_nat > produc4166570645942440679at_nat ).

thf(func_def_4223,type,
    sK2721: ( produc4166570645942440679at_nat > $o ) > set_Pr8551490117392284871at_nat > produc4166570645942440679at_nat ).

thf(func_def_4224,type,
    sK2722: ( produc4166570645942440679at_nat > $o ) > set_Pr8551490117392284871at_nat > produc4166570645942440679at_nat ).

thf(func_def_4225,type,
    sK2723: code_integer > code_integer ).

thf(func_def_4226,type,
    sK2724: nat > nat > nat ).

thf(func_def_4227,type,
    sK2725: nat > nat > nat ).

thf(func_def_4228,type,
    sK2726: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4229,type,
    sK2727: code_integer > code_integer > code_integer ).

thf(func_def_4230,type,
    sK2728: nat > nat > nat ).

thf(func_def_4231,type,
    sK2729: int > int > int > int ).

thf(func_def_4232,type,
    sK2730: code_integer > code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4233,type,
    sK2731: code_integer > code_integer ).

thf(func_def_4234,type,
    sK2732: nat > nat > code_integer ).

thf(func_def_4235,type,
    sK2733: int > int > int > int ).

thf(func_def_4236,type,
    sK2734: int > int > int ).

thf(func_def_4237,type,
    sK2735: int > int ).

thf(func_def_4238,type,
    sK2736: nat > nat ).

thf(func_def_4239,type,
    sK2737: code_integer > code_integer > code_integer ).

thf(func_def_4240,type,
    sK2738: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4241,type,
    sK2739: nat > nat > nat > nat ).

thf(func_def_4242,type,
    sK2740: nat > nat > nat ).

thf(func_def_4243,type,
    sK2741: set_Pr4532377907799695533_nat_o > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4244,type,
    sK2742: ( ( produc3658429121746597890et_nat > $o ) > assn ) > set_Pr4532377907799695533_nat_o > ( assn > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_4245,type,
    sK2743: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4246,type,
    sK2744: nat > nat ).

thf(func_def_4247,type,
    sK2745: set_nat > ( nat > code_integer ) > code_integer ).

thf(func_def_4248,type,
    sK2746: set_nat > ( nat > code_integer ) > nat ).

thf(func_def_4249,type,
    sK2747: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_4250,type,
    sK2748: nat > nat > nat ).

thf(func_def_4251,type,
    sK2749: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4252,type,
    sK2750: code_integer > code_integer > code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4253,type,
    sK2751: set_o > set_o > $o ).

thf(func_def_4254,type,
    sK2752: set_o > set_o > $o ).

thf(func_def_4255,type,
    sK2753: nat > nat > nat ).

thf(func_def_4256,type,
    sK2754: int > int > int > int > int ).

thf(func_def_4257,type,
    sK2755: int > int > int > int > int ).

thf(func_def_4258,type,
    sK2756: int > int > int > int > int ).

thf(func_def_4259,type,
    sK2757: int > int > int > int > int ).

thf(func_def_4260,type,
    sK2758: int > int > int > int > int ).

thf(func_def_4261,type,
    sK2759: int > int > int > int > int ).

thf(func_def_4262,type,
    sK2760: int > int > int > int > int ).

thf(func_def_4263,type,
    sK2761: int > int > int > int > int ).

thf(func_def_4264,type,
    sK2762: int > int > int > int > int ).

thf(func_def_4265,type,
    sK2763: int > int > int > int > int ).

thf(func_def_4266,type,
    sK2764: int > int > int > int > int ).

thf(func_def_4267,type,
    sK2765: int > int > int > int > int ).

thf(func_def_4268,type,
    sK2766: int > int > int > int > int ).

thf(func_def_4269,type,
    sK2767: int > int > int > int > int ).

thf(func_def_4270,type,
    sK2768: int > int > int > int > int ).

thf(func_def_4271,type,
    sK2769: int > int > int > int > int ).

thf(func_def_4272,type,
    sK2770: int > int > int > int > int ).

thf(func_def_4273,type,
    sK2771: int > int > int > int > int ).

thf(func_def_4274,type,
    sK2772: int > int > int > int > int ).

thf(func_def_4275,type,
    sK2773: int > int > int > int > int ).

thf(func_def_4276,type,
    sK2774: int > int > int > int > int ).

thf(func_def_4277,type,
    sK2775: int > int > int > int > int ).

thf(func_def_4278,type,
    sK2776: int > int > int > int > int ).

thf(func_def_4279,type,
    sK2777: int > int > int > int > int ).

thf(func_def_4280,type,
    sK2778: int > int > int > int > int ).

thf(func_def_4281,type,
    sK2779: int > int > int > int > int ).

thf(func_def_4282,type,
    sK2780: int > int > int > int > int ).

thf(func_def_4283,type,
    sK2781: int > int > int > int > int ).

thf(func_def_4284,type,
    sK2782: int > int > int > int > int ).

thf(func_def_4285,type,
    sK2783: int > int > int > int > int ).

thf(func_def_4286,type,
    sK2784: int > int > int > int > int ).

thf(func_def_4287,type,
    sK2785: int > int > int > int > int ).

thf(func_def_4288,type,
    sK2786: int > int > int > int > int ).

thf(func_def_4289,type,
    sK2787: int > int > int > int > int ).

thf(func_def_4290,type,
    sK2788: int > int > int > int > int ).

thf(func_def_4291,type,
    sK2789: int > int > int > int > int ).

thf(func_def_4292,type,
    sK2790: int > int > int > int > int ).

thf(func_def_4293,type,
    sK2791: int > int > int > int > int ).

thf(func_def_4294,type,
    sK2792: nat > rat > rat ).

thf(func_def_4295,type,
    sK2793: nat > nat ).

thf(func_def_4296,type,
    sK2794: set_nat > set_nat > nat ).

thf(func_def_4297,type,
    sK2795: set_nat > set_nat > nat ).

thf(func_def_4298,type,
    sK2796: filter_nat > nat ).

thf(func_def_4299,type,
    sK2797: set_se6260736226359567993nt_int > ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_4300,type,
    sK2798: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_4301,type,
    sK2799: set_se6260736226359567993nt_int > ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > set_Pr958786334691620121nt_int ).

thf(func_def_4302,type,
    sK2800: code_integer > code_integer ).

thf(func_def_4303,type,
    sK2801: code_integer > code_integer ).

thf(func_def_4304,type,
    sK2802: ( set_nat > $o ) > set_nat ).

thf(func_def_4305,type,
    sK2803: code_integer > code_integer > code_integer ).

thf(func_def_4306,type,
    sK2804: ( $o > $o ) > $o ).

thf(func_def_4307,type,
    sK2805: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4308,type,
    sK2806: ( product_unit > $o ) > product_unit ).

thf(func_def_4309,type,
    sK2807: ( $o > product_unit ) > ( product_unit > $o ) > $o ).

thf(func_def_4310,type,
    sK2808: ( product_unit > $o ) > ( $o > $o ) > product_unit ).

thf(func_def_4311,type,
    sK2809: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4312,type,
    sK2810: ( $o > product_unit ) > ( product_unit > $o ) > $o ).

thf(func_def_4313,type,
    sK2811: ( product_unit > $o ) > product_unit ).

thf(func_def_4314,type,
    sK2812: nat > nat > nat ).

thf(func_def_4315,type,
    sK2813: int > nat > int ).

thf(func_def_4316,type,
    sK2814: nat > nat ).

thf(func_def_4317,type,
    sK2815: int > int > int ).

thf(func_def_4318,type,
    sK2816: int > int > int > int ).

thf(func_def_4319,type,
    sK2817: ( nat > nat ) > set_nat > nat ).

thf(func_def_4320,type,
    sK2818: int > int ).

thf(func_def_4321,type,
    sK2819: nat > nat > nat ).

thf(func_def_4322,type,
    sK2820: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > assn ).

thf(func_def_4323,type,
    sK2821: ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > assn ).

thf(func_def_4324,type,
    sK2822: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_4325,type,
    sK2823: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > assn ).

thf(func_def_4326,type,
    sK2824: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_4327,type,
    sK2825: ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > assn ).

thf(func_def_4328,type,
    sK2826: code_integer > code_integer > code_integer ).

thf(func_def_4329,type,
    sK2827: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4330,type,
    sK2828: set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4331,type,
    sK2829: set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_4332,type,
    sK2830: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4333,type,
    sK2831: set_o > $o ).

thf(func_def_4334,type,
    sK2832: set_set_nat > set_set_nat > set_nat ).

thf(func_def_4335,type,
    sK2833: ( literal > list_char ) > set_list_char > literal ).

thf(func_def_4336,type,
    sK2834: ( list_char > literal ) > ( literal > list_char ) > literal ).

thf(func_def_4337,type,
    sK2835: ( list_char > literal ) > ( literal > list_char ) > set_list_char > list_char ).

thf(func_def_4338,type,
    sK2836: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_4339,type,
    sK2837: set_list_char > ( list_char > literal ) > ( literal > list_char ) > list_char ).

thf(func_def_4340,type,
    sK2838: ( list_char > literal ) > ( literal > list_char ) > literal ).

thf(func_def_4341,type,
    sK2839: set_list_char > ( literal > list_char ) > literal ).

thf(func_def_4342,type,
    sK2840: set_list_char > ( literal > list_char ) > literal ).

thf(func_def_4343,type,
    sK2841: set_list_char > ( list_char > literal ) > ( literal > list_char ) > list_char ).

thf(func_def_4344,type,
    sK2842: ( list_char > literal ) > ( literal > list_char ) > literal ).

thf(func_def_4345,type,
    sK2843: set_o > ( $o > product_unit ) > ( product_unit > $o ) > $o ).

thf(func_def_4346,type,
    sK2844: set_o > ( product_unit > $o ) > product_unit ).

thf(func_def_4347,type,
    sK2845: ( product_unit > $o ) > ( $o > product_unit ) > product_unit ).

thf(func_def_4348,type,
    sK2846: set_set_nat > set_nat ).

thf(func_def_4349,type,
    sK2847: set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4350,type,
    sK2848: ( set_Pr1261947904930325089at_nat > int ) > set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_4351,type,
    sK2849: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4352,type,
    sK2850: int > int ).

thf(func_def_4353,type,
    sK2851: int > int ).

thf(func_def_4354,type,
    sK2852: int > int > int ).

thf(func_def_4355,type,
    sK2853: int > int ).

thf(func_def_4356,type,
    sK2854: int > int ).

thf(func_def_4357,type,
    sK2855: ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > assn ).

thf(func_def_4358,type,
    sK2856: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > assn ).

thf(func_def_4359,type,
    sK2857: ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > ( ( produc3658429121746597890et_nat > $o ) > assn ) > produc3658429121746597890et_nat > $o ).

thf(func_def_4360,type,
    sK2858: nat > nat > nat ).

thf(func_def_4361,type,
    sK2859: ( product_unit > $o ) > set_o > ( $o > product_unit ) > $o ).

thf(func_def_4362,type,
    sK2860: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4363,type,
    sK2861: ( product_unit > $o ) > ( $o > product_unit ) > product_unit ).

thf(func_def_4364,type,
    sK2862: code_integer > code_integer > code_integer ).

thf(func_def_4365,type,
    sK2863: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4366,type,
    sK2864: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4367,type,
    sK2865: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4368,type,
    sK2866: code_integer > code_integer > code_integer ).

thf(func_def_4369,type,
    sK2867: rat > rat > rat > rat > rat > rat ).

thf(func_def_4370,type,
    sK2868: rat > rat > rat > rat ).

thf(func_def_4371,type,
    sK2869: assn > assn > assn ).

thf(func_def_4372,type,
    sK2870: nat > nat > nat ).

thf(func_def_4373,type,
    sK2871: nat > nat ).

thf(func_def_4374,type,
    sK2872: nat > nat > nat > nat ).

thf(func_def_4375,type,
    sK2873: nat > nat > nat ).

thf(func_def_4376,type,
    sK2874: ( product_unit > $o ) > ( $o > product_unit ) > product_unit ).

thf(func_def_4377,type,
    sK2875: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4378,type,
    sK2876: ( product_unit > $o ) > set_o > ( $o > product_unit ) > $o ).

thf(func_def_4379,type,
    sK2877: nat > nat > nat > nat ).

thf(func_def_4380,type,
    sK2878: nat > nat > nat ).

thf(func_def_4381,type,
    sK2879: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_4382,type,
    sK2880: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_4383,type,
    sK2881: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4384,type,
    sK2882: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4385,type,
    sK2883: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4386,type,
    sK2884: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4387,type,
    sK2885: nat > nat ).

thf(func_def_4388,type,
    sK2886: ( nat > $o ) > set_nat > set_nat > nat ).

thf(func_def_4389,type,
    sK2887: ( nat > $o ) > set_nat > nat ).

thf(func_def_4390,type,
    sK2888: ( nat > $o ) > set_nat > nat ).

thf(func_def_4391,type,
    sK2889: set_o > $o ).

thf(func_def_4392,type,
    sK2890: int > int ).

thf(func_def_4393,type,
    sK2891: ( ( produc3658429121746597890et_nat > $o ) > $o ) > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4394,type,
    sK2892: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_4395,type,
    sK2893: ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4396,type,
    sK2894: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4397,type,
    sK2895: ( ( produc3658429121746597890et_nat > $o ) > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_4398,type,
    sK2896: ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4399,type,
    sK2897: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_4400,type,
    sK2898: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4401,type,
    sK2899: ( int > set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat > int ).

thf(func_def_4402,type,
    sK2900: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4403,type,
    sK2901: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_4404,type,
    sK2902: ( int > $o ) > int ).

thf(func_def_4405,type,
    sK2903: ( int > $o ) > int ).

thf(func_def_4406,type,
    sK2904: ( int > $o ) > int ).

thf(func_def_4407,type,
    sK2905: ( int > $o ) > int ).

thf(func_def_4408,type,
    sK2906: ( int > $o ) > int > set_int > int ).

thf(func_def_4409,type,
    sK2907: ( int > $o ) > int > int ).

thf(func_def_4410,type,
    sK2908: ( int > $o ) > int > set_int > int ).

thf(func_def_4411,type,
    sK2909: ( int > $o ) > int > set_int > int ).

thf(func_def_4412,type,
    sK2910: ( int > $o ) > int > set_int > int ).

thf(func_def_4413,type,
    sK2911: ( int > $o ) > int > set_int > int ).

thf(func_def_4414,type,
    sK2912: ( int > $o ) > int > int ).

thf(func_def_4415,type,
    sK2913: ( int > $o ) > int > set_int > int ).

thf(func_def_4416,type,
    sK2914: ( int > $o ) > int > set_int > int ).

thf(func_def_4417,type,
    sK2915: ( int > $o ) > int > set_int > int ).

thf(func_def_4418,type,
    sK2916: int > int > int ).

thf(func_def_4419,type,
    sK2917: ( produc3658429121746597890et_nat > $o ) > set_nat ).

thf(func_def_4420,type,
    sK2918: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4421,type,
    sK2919: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4422,type,
    sK2920: rat > rat > rat ).

thf(func_def_4423,type,
    sK2921: rat > rat > rat ).

thf(func_def_4424,type,
    sK2922: int > int ).

thf(func_def_4425,type,
    sK2923: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_4426,type,
    sK2924: ( int > $o ) > int ).

thf(func_def_4427,type,
    sK2925: nat > int > nat > int ).

thf(func_def_4428,type,
    sK2926: nat > int > nat > int ).

thf(func_def_4429,type,
    sK2927: nat > int > nat > int ).

thf(func_def_4430,type,
    sK2928: nat > nat > int > int ).

thf(func_def_4431,type,
    sK2929: nat > nat ).

thf(func_def_4432,type,
    sK2930: code_integer > code_integer ).

thf(func_def_4433,type,
    sK2931: nat > code_integer > code_integer ).

thf(func_def_4434,type,
    sK2932: nat > code_integer > code_integer ).

thf(func_def_4435,type,
    sK2933: int > int ).

thf(func_def_4436,type,
    sK2934: int > int ).

thf(func_def_4437,type,
    sK2935: int > int > int ).

thf(func_def_4438,type,
    sK2936: int > int > int > int ).

thf(func_def_4439,type,
    sK2937: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4440,type,
    sK2938: rat > rat > rat > rat ).

thf(func_def_4441,type,
    sK2939: nat > nat ).

thf(func_def_4442,type,
    sK2940: int > int > int > int ).

thf(func_def_4443,type,
    sK2941: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_4444,type,
    sK2942: set_int > set_int > int ).

thf(func_def_4445,type,
    sK2943: set_int > set_int > int ).

thf(func_def_4446,type,
    sK2944: nat > nat ).

thf(func_def_4447,type,
    sK2945: rat > rat > rat > rat > rat ).

thf(func_def_4448,type,
    sK2946: rat > ( rat > $o ) > rat ).

thf(func_def_4449,type,
    sK2947: rat > ( rat > $o ) > rat ).

thf(func_def_4450,type,
    sK2948: rat > ( rat > $o ) > rat ).

thf(func_def_4451,type,
    sK2949: nat > nat > nat > nat ).

thf(func_def_4452,type,
    sK2950: nat > nat > nat > nat ).

thf(func_def_4453,type,
    sK2951: nat > nat > nat > nat ).

thf(func_def_4454,type,
    sK2952: nat > nat > nat > nat ).

thf(func_def_4455,type,
    sK2953: ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_4456,type,
    sK2954: set_int > ( int > code_natural ) > nat ).

thf(func_def_4457,type,
    sK2955: nat > nat > nat ).

thf(func_def_4458,type,
    sK2956: nat > nat > int ).

thf(func_def_4459,type,
    sK2957: nat > nat > nat > nat ).

thf(func_def_4460,type,
    sK2958: nat > nat > nat ).

thf(func_def_4461,type,
    sK2959: nat > nat ).

thf(func_def_4462,type,
    sK2960: nat > nat ).

thf(func_def_4463,type,
    sK2961: set_list_char > ( list_char > literal ) > ( literal > list_char ) > list_char ).

thf(func_def_4464,type,
    sK2962: set_list_char > ( literal > list_char ) > literal ).

thf(func_def_4465,type,
    sK2963: ( literal > list_char ) > ( list_char > literal ) > literal ).

thf(func_def_4466,type,
    sK2964: set_list_char > ( list_char > literal ) > ( literal > list_char ) > list_char ).

thf(func_def_4467,type,
    sK2965: ( literal > list_char ) > ( list_char > literal ) > literal ).

thf(func_def_4468,type,
    sK2966: set_list_char > ( literal > list_char ) > literal ).

thf(func_def_4469,type,
    sK2967: ( literal > list_char ) > ( list_char > $o ) > literal ).

thf(func_def_4470,type,
    sK2968: ( literal > list_char ) > ( list_char > literal ) > list_char ).

thf(func_def_4471,type,
    sK2969: ( literal > list_char ) > ( list_char > literal ) > literal ).

thf(func_def_4472,type,
    sK2970: ( literal > list_char ) > literal ).

thf(func_def_4473,type,
    sK2971: ( list_char > $o ) > list_char ).

thf(func_def_4474,type,
    sK2972: ( literal > list_char ) > ( list_char > literal ) > list_char ).

thf(func_def_4475,type,
    sK2973: ( literal > list_char ) > literal ).

thf(func_def_4476,type,
    sK2974: ( literal > list_char ) > ( list_char > literal ) > literal ).

thf(func_def_4477,type,
    sK2975: nat > int ).

thf(func_def_4478,type,
    sK2976: nat > code_integer > code_integer ).

thf(func_def_4479,type,
    sK2977: ( int > $o ) > int ).

thf(func_def_4480,type,
    sK2978: ( int > $o ) > int ).

thf(func_def_4481,type,
    sK2979: ( int > $o ) > int ).

thf(func_def_4482,type,
    sK2980: ( int > $o ) > int ).

thf(func_def_4483,type,
    sK2981: ( int > $o ) > int > set_int > int ).

thf(func_def_4484,type,
    sK2982: ( int > $o ) > int > int ).

thf(func_def_4485,type,
    sK2983: ( int > $o ) > int > set_int > int ).

thf(func_def_4486,type,
    sK2984: ( int > $o ) > int > set_int > int ).

thf(func_def_4487,type,
    sK2985: ( int > $o ) > int > int ).

thf(func_def_4488,type,
    sK2986: ( int > $o ) > int > set_int > int ).

thf(func_def_4489,type,
    sK2987: ( int > $o ) > int > set_int > int ).

thf(func_def_4490,type,
    sK2988: ( int > $o ) > int ).

thf(func_def_4491,type,
    sK2989: ( int > $o ) > int > int ).

thf(func_def_4492,type,
    sK2990: ( int > $o ) > int > set_int > int ).

thf(func_def_4493,type,
    sK2991: ( int > $o ) > int > set_int > int ).

thf(func_def_4494,type,
    sK2992: ( int > $o ) > int > set_int > int ).

thf(func_def_4495,type,
    sK2993: ( int > $o ) > int > int ).

thf(func_def_4496,type,
    sK2994: ( int > $o ) > int > set_int > int ).

thf(func_def_4497,type,
    sK2995: ( int > $o ) > int > set_int > int ).

thf(func_def_4498,type,
    sK2996: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit > set_nat > set_nat ).

thf(func_def_4499,type,
    sK2997: ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit > set_nat > ( produc3658429121746597890et_nat > $o ) > heap_e7401611519738050253t_unit ).

thf(func_def_4500,type,
    sK2998: code_integer > code_integer > code_integer ).

thf(func_def_4501,type,
    sK2999: set_Pr4532377907799695533_nat_o > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4502,type,
    sK3000: set_Pr4532377907799695533_nat_o > ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > produc3658429121746597890et_nat > $o ).

thf(func_def_4503,type,
    sK3001: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > assn ).

thf(func_def_4504,type,
    sK3002: assn > assn > assn ).

thf(func_def_4505,type,
    sK3003: int > int ).

thf(func_def_4506,type,
    sK3004: int > nat > nat > int ).

thf(func_def_4507,type,
    sK3005: int > nat > nat > int ).

thf(func_def_4508,type,
    sK3006: nat > nat > nat ).

thf(func_def_4509,type,
    sK3007: set_nat > nat ).

thf(func_def_4510,type,
    sK3008: set_o > $o ).

thf(func_def_4511,type,
    sK3009: set_o > $o ).

thf(func_def_4512,type,
    sK3010: int > int > int ).

thf(func_def_4513,type,
    sK3011: int > int > int ).

thf(func_def_4514,type,
    sK3012: int > int > int ).

thf(func_def_4515,type,
    sK3013: int > int > int ).

thf(func_def_4516,type,
    sK3014: int > int > int ).

thf(func_def_4517,type,
    sK3015: int > int > int ).

thf(func_def_4518,type,
    sK3016: int > int > int ).

thf(func_def_4519,type,
    sK3017: int > int > int ).

thf(func_def_4520,type,
    sK3018: int > int > int ).

thf(func_def_4521,type,
    sK3019: int > int > int ).

thf(func_def_4522,type,
    sK3020: int > int > int ).

thf(func_def_4523,type,
    sK3021: int > int > int ).

thf(func_def_4524,type,
    sK3022: int > int > int ).

thf(func_def_4525,type,
    sK3023: int > int > int ).

thf(func_def_4526,type,
    sK3024: int > int > int ).

thf(func_def_4527,type,
    sK3025: int > ( int > $o ) > int ).

thf(func_def_4528,type,
    sK3026: int > set_int > ( int > $o ) > int ).

thf(func_def_4529,type,
    sK3027: int > set_int > ( int > $o ) > int ).

thf(func_def_4530,type,
    sK3028: int > set_int > ( int > $o ) > int ).

thf(func_def_4531,type,
    sK3029: int > ( int > $o ) > int ).

thf(func_def_4532,type,
    sK3030: int > set_int > ( int > $o ) > int ).

thf(func_def_4533,type,
    sK3031: int > set_int > ( int > $o ) > int ).

thf(func_def_4534,type,
    sK3032: ( int > $o ) > int ).

thf(func_def_4535,type,
    sK3033: ( int > $o ) > int ).

thf(func_def_4536,type,
    sK3034: ( int > $o ) > int ).

thf(func_def_4537,type,
    sK3035: int > ( int > $o ) > int ).

thf(func_def_4538,type,
    sK3036: int > set_int > ( int > $o ) > int ).

thf(func_def_4539,type,
    sK3037: int > set_int > ( int > $o ) > int ).

thf(func_def_4540,type,
    sK3038: ( int > $o ) > int ).

thf(func_def_4541,type,
    sK3039: ( int > $o ) > int ).

thf(func_def_4542,type,
    sK3040: int > ( int > $o ) > int ).

thf(func_def_4543,type,
    sK3041: int > set_int > ( int > $o ) > int ).

thf(func_def_4544,type,
    sK3042: int > set_int > ( int > $o ) > int ).

thf(func_def_4545,type,
    sK3043: int > set_int > ( int > $o ) > int ).

thf(func_def_4546,type,
    sK3044: ( int > $o ) > int ).

thf(func_def_4547,type,
    sK3045: ( $o > nat ) > set_o > nat ).

thf(func_def_4548,type,
    sK3046: ( $o > nat ) > set_o > nat ).

thf(func_def_4549,type,
    sK3047: set_nat > set_nat > nat ).

thf(func_def_4550,type,
    sK3048: set_Pr4532377907799695533_nat_o > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4551,type,
    sK3049: ( ( produc3658429121746597890et_nat > $o ) > assn ) > set_Pr4532377907799695533_nat_o > ( assn > produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > $o ).

thf(func_def_4552,type,
    sK3050: ( ( produc3658429121746597890et_nat > $o ) > assn ) > ( assn > produc3658429121746597890et_nat > $o ) > assn ).

thf(func_def_4553,type,
    sK3051: int > int > int > int ).

thf(func_def_4554,type,
    sK3052: ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > assn ).

thf(func_def_4555,type,
    sK3053: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > assn ).

thf(func_def_4556,type,
    sK3054: ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > ( ( produc3658429121746597890et_nat > $o ) > assn ) > produc3658429121746597890et_nat > $o ).

thf(func_def_4557,type,
    sK3055: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4558,type,
    sK3056: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4559,type,
    sK3057: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4560,type,
    sK3058: int > int > int > int > int > int ).

thf(func_def_4561,type,
    sK3059: int > int > int > int ).

thf(func_def_4562,type,
    sK3060: rat > rat > rat > rat ).

thf(func_def_4563,type,
    sK3061: rat > rat > rat ).

thf(func_def_4564,type,
    sK3062: nat > nat ).

thf(func_def_4565,type,
    sK3063: ( $o > $o ) > $o ).

thf(func_def_4566,type,
    sK3064: int > int > int ).

thf(func_def_4567,type,
    sK3065: int > int > int ).

thf(func_def_4568,type,
    sK3066: nat > nat > nat ).

thf(func_def_4569,type,
    sK3067: nat > nat > nat > nat ).

thf(func_def_4570,type,
    sK3068: code_integer > code_integer > code_integer ).

thf(func_def_4571,type,
    sK3069: set_int > int ).

thf(func_def_4572,type,
    sK3070: nat > ( nat > $o ) > nat ).

thf(func_def_4573,type,
    sK3071: ( nat > $o ) > nat ).

thf(func_def_4574,type,
    sK3072: nat > int ).

thf(func_def_4575,type,
    sK3073: ( $o > product_unit ) > ( product_unit > $o ) > product_unit ).

thf(func_def_4576,type,
    sK3074: set_o > ( $o > product_unit ) > ( product_unit > $o ) > $o ).

thf(func_def_4577,type,
    sK3075: set_o > ( product_unit > $o ) > product_unit ).

thf(func_def_4578,type,
    sK3076: code_integer > code_integer > code_integer ).

thf(func_def_4579,type,
    sK3077: code_integer > code_integer > code_integer ).

thf(func_def_4580,type,
    sK3078: rat > rat > rat ).

thf(func_def_4581,type,
    sK3079: nat > nat > nat > nat ).

thf(func_def_4582,type,
    sK3080: nat > nat > nat > nat ).

thf(func_def_4583,type,
    sK3081: int > int ).

thf(func_def_4584,type,
    sK3082: ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > assn ).

thf(func_def_4585,type,
    sK3083: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_4586,type,
    sK3084: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > assn ).

thf(func_def_4587,type,
    sK3085: ( nat > $o ) > nat ).

thf(func_def_4588,type,
    sK3086: code_integer > code_integer > code_integer ).

thf(func_def_4589,type,
    sK3087: ( int > $o ) > rat > int ).

thf(func_def_4590,type,
    sK3088: ( int > nat ) > set_int > nat ).

thf(func_def_4591,type,
    sK3089: ( int > nat ) > set_int > nat ).

thf(func_def_4592,type,
    sK3090: set_int > set_int > int ).

thf(func_def_4593,type,
    sK3091: rat > rat > rat > rat ).

thf(func_def_4594,type,
    sK3092: rat > rat > rat > rat ).

thf(func_def_4595,type,
    sK3093: rat > rat > rat ).

thf(func_def_4596,type,
    sK3094: int > int > int > int ).

thf(func_def_4597,type,
    sK3095: ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > rat ).

thf(func_def_4598,type,
    sK3096: ( set_Pr958786334691620121nt_int > rat ) > ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_4599,type,
    sK3097: ( set_Pr958786334691620121nt_int > rat ) > ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_4600,type,
    sK3098: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ).

thf(func_def_4601,type,
    sK3099: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ).

thf(func_def_4602,type,
    sK3100: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_4603,type,
    sK3101: ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > ( set_Pr958786334691620121nt_int > rat ) > set_Pr958786334691620121nt_int ).

thf(func_def_4604,type,
    sK3102: ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > rat ).

thf(func_def_4605,type,
    sK3103: nat > nat ).

thf(func_def_4606,type,
    sK3104: nat > nat > nat > nat ).

thf(func_def_4607,type,
    sK3105: nat > nat > nat > nat ).

thf(func_def_4608,type,
    sK3106: nat > nat > nat > nat ).

thf(func_def_4609,type,
    sK3107: nat > nat > nat > nat ).

thf(func_def_4610,type,
    sK3108: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > heap_e7401611519738050253t_unit ).

thf(func_def_4611,type,
    sK3109: ( produc3658429121746597890et_nat > $o ) > ( produc3658429121746597890et_nat > $o ) > produc3658429121746597890et_nat > set_nat ).

thf(func_def_4612,type,
    sK3110: code_integer > code_integer ).

thf(func_def_4613,type,
    sK3111: code_integer > code_integer ).

thf(func_def_4614,type,
    sK3112: code_integer > code_integer ).

thf(func_def_4615,type,
    sK3113: code_integer > code_integer > code_integer ).

thf(func_def_4616,type,
    sK3114: int > int > int ).

thf(func_def_4617,type,
    sK3115: int > int > int > int > int ).

thf(func_def_4618,type,
    sK3116: rat > rat > rat ).

thf(func_def_4619,type,
    sK3117: ( int > set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat > ( set_Pr1261947904930325089at_nat > int ) > set_Pr1261947904930325089at_nat ).

thf(func_def_4620,type,
    sK3118: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > int ).

thf(func_def_4621,type,
    sK3119: ( int > set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat > int ).

thf(func_def_4622,type,
    sK3120: ( product_unit > $o ) > ( $o > product_unit ) > product_unit ).

thf(func_def_4623,type,
    sK3121: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4624,type,
    sK3122: ( product_unit > $o ) > ( $o > product_unit ) > set_o > $o ).

thf(func_def_4625,type,
    sK3123: ( product_unit > $o ) > ( $o > product_unit ) > product_unit ).

thf(func_def_4626,type,
    sK3124: ( product_unit > $o ) > set_o > ( $o > product_unit ) > $o ).

thf(func_def_4627,type,
    sK3125: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4628,type,
    sK3126: ( product_unit > $o ) > ( $o > product_unit ) > product_unit ).

thf(func_def_4629,type,
    sK3127: ( product_unit > $o ) > set_o > ( $o > product_unit ) > $o ).

thf(func_def_4630,type,
    sK3128: ( product_unit > $o ) > set_o > product_unit ).

thf(func_def_4631,type,
    sK3129: ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > rat ).

thf(func_def_4632,type,
    sK3130: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_4633,type,
    sK3131: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_4634,type,
    sK3132: rat > rat > rat > rat > rat > rat ).

thf(func_def_4635,type,
    sK3133: rat > rat > rat > rat ).

thf(func_def_4636,type,
    sK3134: int > int > int > int > int ).

thf(func_def_4637,type,
    sK3135: int > int > int > int > int ).

thf(func_def_4638,type,
    sK3136: int > int > int > int > int ).

thf(func_def_4639,type,
    sK3137: int > int > int > int > int ).

thf(func_def_4640,type,
    sK3138: int > int > int > int > int ).

thf(func_def_4641,type,
    sK3139: int > int > int > int > int ).

thf(func_def_4642,type,
    sK3140: int > int > int > int > int ).

thf(func_def_4643,type,
    sK3141: int > int > int > int > int ).

thf(func_def_4644,type,
    sK3142: int > int > int > int > int ).

thf(func_def_4645,type,
    sK3143: int > int > int > int > int ).

thf(func_def_4646,type,
    sK3144: int > int > int > int > int ).

thf(func_def_4647,type,
    sK3145: int > int > int > int > int ).

thf(func_def_4648,type,
    sK3146: int > int > int > int > int ).

thf(func_def_4649,type,
    sK3147: int > int > int > int > int ).

thf(func_def_4650,type,
    sK3148: int > int > int > int > int ).

thf(func_def_4651,type,
    sK3149: int > int > int > int > int ).

thf(func_def_4652,type,
    sK3150: int > int > int > int > int ).

thf(func_def_4653,type,
    sK3151: int > int > int > int > int ).

thf(func_def_4654,type,
    sK3152: int > int > int > int > int ).

thf(func_def_4655,type,
    sK3153: int > int > int > int > int ).

thf(func_def_4656,type,
    sK3154: int > int > int > int > int ).

thf(func_def_4657,type,
    sK3155: int > int > int > int > int ).

thf(func_def_4658,type,
    sK3156: int > int > int > int > int ).

thf(func_def_4659,type,
    sK3157: int > int > int > int > int ).

thf(func_def_4660,type,
    sK3158: int > int > int > int > int ).

thf(func_def_4661,type,
    sK3159: int > int > int > int > int ).

thf(func_def_4662,type,
    sK3160: int > int > int > int > int ).

thf(func_def_4663,type,
    sK3161: int > int > int > int > int ).

thf(func_def_4664,type,
    sK3162: int > int > int > int > int ).

thf(func_def_4665,type,
    sK3163: int > int > int > int > int ).

thf(func_def_4666,type,
    sK3164: int > int > int > int > int ).

thf(func_def_4667,type,
    sK3165: int > int > int > int > int ).

thf(func_def_4668,type,
    sK3166: int > int > int > int > int ).

thf(func_def_4669,type,
    sK3167: int > int > int > int > int ).

thf(func_def_4670,type,
    sK3168: int > int > int > int > int ).

thf(func_def_4671,type,
    sK3169: int > int > int > int > int ).

thf(func_def_4672,type,
    sK3170: int > int > int > int > int ).

thf(func_def_4673,type,
    sK3171: int > int > int > int > int ).

thf(func_def_4674,type,
    sK3172: int > int > int > int > int ).

thf(func_def_4675,type,
    sK3173: int > int > int > int > int ).

thf(func_def_4676,type,
    sK3174: int > int > int > int > int ).

thf(func_def_4677,type,
    sK3175: int > int > int > int > int ).

thf(func_def_4678,type,
    sK3176: int > int > int > int > int ).

thf(func_def_4679,type,
    sK3177: int > int > int > int > int ).

thf(func_def_4680,type,
    sK3178: int > int > int > int > int ).

thf(func_def_4681,type,
    sK3179: int > int > int > int > int ).

thf(func_def_4682,type,
    sK3180: int > int > int > int > int ).

thf(func_def_4683,type,
    sK3181: int > int > int > int > int ).

thf(func_def_4684,type,
    sK3182: int > int > int > int > int ).

thf(func_def_4685,type,
    sK3183: int > int > int > int > int ).

thf(func_def_4686,type,
    sK3184: int > int > int > int > int ).

thf(func_def_4687,type,
    sK3185: int > int > int > int > int ).

thf(func_def_4688,type,
    sK3186: int > int > int > int > int ).

thf(func_def_4689,type,
    sK3187: int > int > int > int > int ).

thf(func_def_4690,type,
    sK3188: int > int > int > int > int ).

thf(func_def_4691,type,
    sK3189: int > int > int > int > int ).

thf(func_def_4692,type,
    sK3190: int > int > int > int > int ).

thf(func_def_4693,type,
    sK3191: int > int > int > int > int ).

thf(func_def_4694,type,
    sK3192: int > int > int > int > int ).

thf(func_def_4695,type,
    sK3193: int > int > int > int > int ).

thf(func_def_4696,type,
    sK3194: int > int > int > int > int ).

thf(func_def_4697,type,
    sK3195: int > int > int > int > int ).

thf(func_def_4698,type,
    sK3196: int > int > int > int > int ).

thf(func_def_4699,type,
    sK3197: int > int > int > int > int ).

thf(func_def_4700,type,
    sK3198: int > int > int > int > int ).

thf(func_def_4701,type,
    sK3199: int > int > int > int > int ).

thf(func_def_4702,type,
    sK3200: int > int > int > int > int ).

thf(func_def_4703,type,
    sK3201: int > int > int > int > int ).

thf(func_def_4704,type,
    sK3202: int > int > int > int > int ).

thf(func_def_4705,type,
    sK3203: int > int > int > int > int ).

thf(func_def_4706,type,
    sK3204: int > int > int > int > int ).

thf(func_def_4707,type,
    sK3205: int > int > int > int > int ).

thf(func_def_4708,type,
    sK3206: int > int > int > int > int ).

thf(func_def_4709,type,
    sK3207: int > int > int > int > int ).

thf(func_def_4710,type,
    sK3208: int > int > int > int > int ).

thf(func_def_4711,type,
    sK3209: int > int > int > int > int ).

thf(func_def_4712,type,
    sK3210: int > int > int > int > int ).

thf(func_def_4713,type,
    sK3211: int > int > int > int > int ).

thf(func_def_4714,type,
    sK3212: int > int > int > int > int ).

thf(func_def_4715,type,
    sK3213: int > int > int > int > int ).

thf(func_def_4716,type,
    sK3214: int > int > int > int > int ).

thf(func_def_4717,type,
    sK3215: int > int > int > int > int ).

thf(func_def_4718,type,
    sK3216: int > int > int > int > int ).

thf(func_def_4719,type,
    sK3217: int > int > int > int > int ).

thf(func_def_4720,type,
    sK3218: int > int > int > int > int ).

thf(func_def_4721,type,
    sK3219: int > int > int > int > int ).

thf(func_def_4722,type,
    sK3220: int > int > int > int > int ).

thf(func_def_4723,type,
    sK3221: int > int > int > int > int ).

thf(func_def_4724,type,
    sK3222: int > int > int > int > int ).

thf(func_def_4725,type,
    sK3223: int > int > int > int > int ).

thf(func_def_4726,type,
    sK3224: int > int > int > int > int ).

thf(func_def_4727,type,
    sK3225: int > int > int > int > int ).

thf(func_def_4728,type,
    sK3226: int > int > int > int > int ).

thf(func_def_4729,type,
    sK3227: int > int > int > int > int ).

thf(func_def_4730,type,
    sK3228: int > int > int > int > int ).

thf(func_def_4731,type,
    sK3229: int > int > int > int > int ).

thf(func_def_4732,type,
    sK3230: int > int > int > int > int ).

thf(func_def_4733,type,
    sK3231: int > int > int > int > int ).

thf(func_def_4734,type,
    sK3232: int > int > int > int > int ).

thf(func_def_4735,type,
    sK3233: int > int ).

thf(func_def_4736,type,
    sK3234: int > int ).

thf(func_def_4737,type,
    sK3235: int > int ).

thf(func_def_4738,type,
    sK3236: int > int > int ).

thf(func_def_4739,type,
    sK3237: int > int > int ).

thf(func_def_4740,type,
    sK3238: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_4741,type,
    sK3239: ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > rat ).

thf(func_def_4742,type,
    sK3240: ( rat > set_Pr958786334691620121nt_int ) > set_se6260736226359567993nt_int > ( set_Pr958786334691620121nt_int > rat ) > set_Pr958786334691620121nt_int ).

thf(func_def_4743,type,
    sK3241: set_se6260736226359567993nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_4744,type,
    sK3242: set_int > int ).

thf(func_def_4745,type,
    sK3243: assn > assn > assn ).

thf(func_def_4746,type,
    sK3244: nat > nat > nat > nat ).

thf(func_def_4747,type,
    sK3245: nat > nat ).

thf(func_def_4748,type,
    sK3246: nat > nat ).

thf(func_def_4749,type,
    sK3247: set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4750,type,
    sK3248: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_4751,type,
    sK3249: ( set_Pr1261947904930325089at_nat > int ) > set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_4752,type,
    sK3250: nat > nat > nat > nat ).

thf(func_def_4753,type,
    sK3251: nat > nat > nat ).

thf(func_def_4754,type,
    sK3252: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_4755,type,
    sK3253: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_4756,type,
    sK3254: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_4757,type,
    sK3255: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_4758,type,
    sK3256: set_se6260736226359567993nt_int > ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_4759,type,
    sK3257: set_se6260736226359567993nt_int > ( set_Pr958786334691620121nt_int > rat ) > ( rat > set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

thf(func_def_4760,type,
    sK3258: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_4761,type,
    sK3259: set_se6260736226359567993nt_int > ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_4762,type,
    sK3260: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_4763,type,
    sK3261: set_se6260736226359567993nt_int > ( set_Pr958786334691620121nt_int > rat ) > ( rat > set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

thf(func_def_4764,type,
    sK3262: int > int ).

thf(func_def_4765,type,
    sK3263: nat > int > int ).

thf(func_def_4766,type,
    sK3264: nat > int > int ).

thf(func_def_4767,type,
    sK3265: rat > rat > rat > rat ).

thf(func_def_4768,type,
    sK3266: nat > nat > nat > nat ).

thf(func_def_4769,type,
    sK3267: int > int > int ).

thf(func_def_4770,type,
    sK3268: int > int > int > int ).

thf(func_def_4771,type,
    sK3269: nat > nat > nat ).

thf(func_def_4772,type,
    sK3270: code_integer > code_integer ).

thf(func_def_4773,type,
    sK3271: nat > code_integer > nat > code_integer ).

thf(func_def_4774,type,
    sK3272: nat > code_integer > nat > code_integer ).

thf(func_def_4775,type,
    sK3273: code_integer > code_integer ).

thf(func_def_4776,type,
    sK3274: nat > nat > code_integer ).

thf(func_def_4777,type,
    sK3275: code_integer > code_integer > code_integer ).

thf(func_def_4778,type,
    sK3276: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_4779,type,
    sK3277: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_4780,type,
    sK3278: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_4781,type,
    sK3279: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_4782,type,
    sK3280: code_integer > code_integer > code_integer ).

thf(func_def_4783,type,
    sK3281: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4784,type,
    sK3282: nat > nat > nat ).

thf(func_def_4785,type,
    sK3283: nat > nat ).

thf(func_def_4786,type,
    sK3284: nat > nat ).

thf(func_def_4787,type,
    sK3285: ( assn > produc3658429121746597890et_nat > $o ) > set_Pr4532377907799695533_nat_o > assn ).

thf(func_def_4788,type,
    sK3286: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_4789,type,
    sK3287: ( assn > produc3658429121746597890et_nat > $o ) > ( ( produc3658429121746597890et_nat > $o ) > assn ) > assn ).

thf(func_def_4790,type,
    sK3288: ( $o > $o ) > $o ).

thf(func_def_4791,type,
    sK3289: ( int > $o ) > int ).

thf(func_def_4792,type,
    sK3290: ( int > $o ) > int ).

thf(func_def_4793,type,
    sK3291: ( int > $o ) > int > int ).

thf(func_def_4794,type,
    sK3292: ( int > $o ) > int > set_int > int ).

thf(func_def_4795,type,
    sK3293: ( int > $o ) > int > set_int > int ).

thf(func_def_4796,type,
    sK3294: ( int > $o ) > int > set_int > int ).

thf(func_def_4797,type,
    sK3295: ( int > $o ) > int > set_int > int ).

thf(func_def_4798,type,
    sK3296: ( int > $o ) > int > int ).

thf(func_def_4799,type,
    sK3297: ( int > $o ) > int > set_int > int ).

thf(func_def_4800,type,
    sK3298: ( int > $o ) > int > set_int > int ).

thf(func_def_4801,type,
    sK3299: ( int > $o ) > int ).

thf(func_def_4802,type,
    sK3300: ( int > $o ) > int ).

thf(func_def_4803,type,
    sK3301: ( int > $o ) > int ).

thf(func_def_4804,type,
    sK3302: ( int > $o ) > int > set_int > int ).

thf(func_def_4805,type,
    sK3303: ( int > $o ) > int > int ).

thf(func_def_4806,type,
    sK3304: ( int > $o ) > int > set_int > int ).

thf(func_def_4807,type,
    sK3305: ( int > $o ) > int > int ).

thf(func_def_4808,type,
    sK3306: ( int > $o ) > int > set_int > int ).

thf(func_def_4809,type,
    sK3307: code_integer > code_integer > code_integer ).

thf(func_def_4810,type,
    sK3308: int > int > int > int > int ).

thf(func_def_4811,type,
    sK3309: int > int > int > int > int ).

thf(func_def_4812,type,
    sK3310: int > int > int > int > int ).

thf(func_def_4813,type,
    sK3311: int > int > int > int > int ).

thf(func_def_4814,type,
    sK3312: int > int > int > int > int ).

thf(func_def_4815,type,
    sK3313: int > int > int > int > int ).

thf(func_def_4816,type,
    sK3314: int > int > int > int > int ).

thf(func_def_4817,type,
    sK3315: int > int > int > int > int ).

thf(func_def_4818,type,
    sK3316: int > int > int > int > int ).

thf(func_def_4819,type,
    sK3317: int > int > int > int > int ).

thf(func_def_4820,type,
    sK3318: int > int > int > int > int ).

thf(func_def_4821,type,
    sK3319: int > int > int > int > int ).

thf(func_def_4822,type,
    sK3320: int > int > int > int > int ).

thf(func_def_4823,type,
    sK3321: int > int > int > int > int ).

thf(func_def_4824,type,
    sK3322: int > int > int > int > int ).

thf(func_def_4825,type,
    sK3323: int > int > int > int > int ).

thf(func_def_4826,type,
    sK3324: int > int > int > int > int ).

thf(func_def_4827,type,
    sK3325: int > int > int > int > int ).

thf(func_def_4828,type,
    sK3326: int > int > int > int > int ).

thf(func_def_4829,type,
    sK3327: int > int > int > int > int ).

thf(func_def_4830,type,
    sK3328: int > int > int > int > int ).

thf(func_def_4831,type,
    sK3329: int > int > int > int > int ).

thf(func_def_4832,type,
    sK3330: int > int > int > int > int ).

thf(func_def_4833,type,
    sK3331: int > int > int > int > int ).

thf(func_def_4834,type,
    sK3332: int > int > int > int > int ).

thf(func_def_4835,type,
    sK3333: int > int > int > int > int ).

thf(func_def_4836,type,
    sK3334: int > int > int > int > int ).

thf(func_def_4837,type,
    sK3335: int > int > int > int > int ).

thf(func_def_4838,type,
    sK3336: int > int > int > int > int ).

thf(func_def_4839,type,
    sK3337: int > int > int > int > int ).

thf(func_def_4840,type,
    sK3338: int > int > int > int > int ).

thf(func_def_4841,type,
    sK3339: int > int > int > int > int ).

thf(func_def_4842,type,
    sK3340: int > int > int > int > int ).

thf(func_def_4843,type,
    sK3341: int > int > int > int > int ).

thf(func_def_4844,type,
    sK3342: int > int > int > int > int ).

thf(func_def_4845,type,
    sK3343: int > int > int > int > int ).

thf(func_def_4846,type,
    sK3344: int > int > int > int > int ).

thf(func_def_4847,type,
    sK3345: int > int > int > int > int ).

thf(func_def_4848,type,
    sK3346: int > int > int > int > int ).

thf(func_def_4849,type,
    sK3347: int > int > int > int > int ).

thf(func_def_4850,type,
    sK3348: int > int > int > int > int ).

thf(func_def_4851,type,
    sK3349: int > int > int > int > int ).

thf(func_def_4852,type,
    sK3350: int > int > int > int > int ).

thf(func_def_4853,type,
    sK3351: int > int > int > int > int ).

thf(func_def_4854,type,
    sK3352: int > int > int > int > int ).

thf(func_def_4855,type,
    sK3353: int > int > int > int > int ).

thf(func_def_4856,type,
    sK3354: int > int > int > int > int ).

thf(func_def_4857,type,
    sK3355: int > int > int > int > int ).

thf(func_def_4858,type,
    sK3356: int > int > int > int > int ).

thf(func_def_4859,type,
    sK3357: int > int > int > int > int ).

thf(func_def_4860,type,
    sK3358: int > int > int > int > int ).

thf(func_def_4861,type,
    sK3359: int > int > int > int > int ).

thf(func_def_4862,type,
    sK3360: int > int > int > int > int ).

thf(func_def_4863,type,
    sK3361: int > int > int > int > int ).

thf(func_def_4864,type,
    sK3362: int > int > int > int > int ).

thf(func_def_4865,type,
    sK3363: int > int > int > int > int ).

thf(func_def_4866,type,
    sK3364: int > int > int > int > int ).

thf(func_def_4867,type,
    sK3365: int > int > int > int > int ).

thf(func_def_4868,type,
    sK3366: int > int > int > int > int ).

thf(func_def_4869,type,
    sK3367: int > int > int > int > int ).

thf(func_def_4870,type,
    sK3368: int > int > int > int > int ).

thf(func_def_4871,type,
    sK3369: int > int > int > int > int ).

thf(func_def_4872,type,
    sK3370: int > int > int > int > int ).

thf(func_def_4873,type,
    sK3371: int > int > int > int > int ).

thf(func_def_4874,type,
    sK3372: int > int > int > int > int ).

thf(func_def_4875,type,
    sK3373: int > int > int > int > int ).

thf(func_def_4876,type,
    sK3374: int > int > int > int > int ).

thf(func_def_4877,type,
    sK3375: int > int > int > int > int ).

thf(func_def_4878,type,
    sK3376: int > int > int > int > int ).

thf(func_def_4879,type,
    sK3377: int > int > int > int > int ).

thf(func_def_4880,type,
    sK3378: int > int > int > int > int ).

thf(func_def_4881,type,
    sK3379: int > int > int > int > int ).

thf(func_def_4882,type,
    sK3380: int > int > int > int > int ).

thf(func_def_4883,type,
    sK3381: int > int > int > int > int ).

thf(func_def_4884,type,
    sK3382: int > int > int > int > int ).

thf(func_def_4885,type,
    sK3383: int > int > int > int > int ).

thf(func_def_4886,type,
    sK3384: int > int > int > int > int ).

thf(func_def_4887,type,
    sK3385: int > int > int > int > int ).

thf(func_def_4888,type,
    sK3386: int > int > int > int > int ).

thf(func_def_4889,type,
    sK3387: int > int > int > int > int ).

thf(func_def_4890,type,
    sK3388: int > int > int > int > int ).

thf(func_def_4891,type,
    sK3389: int > int > int > int > int ).

thf(func_def_4892,type,
    sK3390: int > int > int > int > int ).

thf(func_def_4893,type,
    sK3391: int > int > int > int > int ).

thf(func_def_4894,type,
    sK3392: int > int > int > int > int ).

thf(func_def_4895,type,
    sK3393: int > int > int > int > int ).

thf(func_def_4896,type,
    sK3394: int > int > int > int > int ).

thf(func_def_4897,type,
    sK3395: int > int > int > int > int ).

thf(func_def_4898,type,
    sK3396: int > int > int > int > int ).

thf(func_def_4899,type,
    sK3397: int > int > int > int > int ).

thf(func_def_4900,type,
    sK3398: int > int > int > int > int ).

thf(func_def_4901,type,
    sK3399: int > int > int > int > int ).

thf(func_def_4902,type,
    sK3400: int > int > int > int > int ).

thf(func_def_4903,type,
    sK3401: int > int > int > int > int ).

thf(func_def_4904,type,
    sK3402: int > int > int > int > int ).

thf(func_def_4905,type,
    sK3403: int > int > int > int > int ).

thf(func_def_4906,type,
    sK3404: int > int > int > int > int ).

thf(func_def_4907,type,
    sK3405: int > int > int > int > int ).

thf(func_def_4908,type,
    sK3406: int > int > int > int > int ).

thf(func_def_4909,type,
    sK3407: int > int > int > int > int ).

thf(func_def_4910,type,
    sK3408: int > int > int > int > int ).

thf(func_def_4911,type,
    sK3409: int > int > int > int > int ).

thf(func_def_4912,type,
    sK3410: int > int > int > int > int ).

thf(func_def_4913,type,
    sK3411: int > int > int > int > int ).

thf(func_def_4914,type,
    sK3412: int > int > int > int > int ).

thf(func_def_4915,type,
    sK3413: int > int > int > int > int ).

thf(func_def_4916,type,
    sK3414: int > int > int > int > int ).

thf(func_def_4917,type,
    sK3415: int > int > int > int > int ).

thf(func_def_4918,type,
    sK3416: int > int > int > int > int ).

thf(func_def_4919,type,
    sK3417: int > int > int > int > int ).

thf(func_def_4920,type,
    sK3418: int > int > int > int > int ).

thf(func_def_4921,type,
    sK3419: int > int > int > int > int ).

thf(func_def_4922,type,
    sK3420: int > int > int > int > int ).

thf(func_def_4923,type,
    sK3421: int > int > int > int > int ).

thf(func_def_4924,type,
    sK3422: int > int > int > int > int ).

thf(func_def_4925,type,
    sK3423: int > int > int > int > int ).

thf(func_def_4926,type,
    sK3424: int > int > int > int > int ).

thf(func_def_4927,type,
    sK3425: int > int > int > int > int ).

thf(func_def_4928,type,
    sK3426: int > int > int > int > int ).

thf(func_def_4929,type,
    sK3427: int > int > int > int > int ).

thf(func_def_4930,type,
    sK3428: int > int > int > int > int ).

thf(func_def_4931,type,
    sK3429: int > int > int > int > int ).

thf(func_def_4932,type,
    sK3430: int > int > int > int > int ).

thf(func_def_4933,type,
    sK3431: int > int > int > int > int ).

thf(func_def_4934,type,
    sK3432: int > int > int > int > int ).

thf(func_def_4935,type,
    sK3433: int > int > int > int > int ).

thf(func_def_4936,type,
    sK3434: int > int > int > int > int ).

thf(func_def_4937,type,
    sK3435: int > int > int > int > int ).

thf(func_def_4938,type,
    sK3436: int > int > int > int > int ).

thf(func_def_4939,type,
    sK3437: int > int > int > int > int ).

thf(func_def_4940,type,
    sK3438: int > int > int > int > int ).

thf(func_def_4941,type,
    sK3439: int > int > int > int > int ).

thf(func_def_4942,type,
    sK3440: int > int > int > int > int ).

thf(func_def_4943,type,
    sK3441: int > int > int > int > int ).

thf(func_def_4944,type,
    sK3442: int > int > int > int > int ).

thf(func_def_4945,type,
    sK3443: int > int > int > int > int ).

thf(func_def_4946,type,
    sK3444: int > int > int > int > int ).

thf(func_def_4947,type,
    sK3445: int > int > int > int > int ).

thf(func_def_4948,type,
    sK3446: int > int > int > int > int ).

thf(func_def_4949,type,
    sK3447: int > int > int > int > int ).

thf(func_def_4950,type,
    sK3448: int > int > int > int > int ).

thf(func_def_4951,type,
    sK3449: int > int > int > int > int ).

thf(func_def_4952,type,
    sK3450: int > int > int > int > int ).

thf(func_def_4953,type,
    sK3451: int > int > int > int > int ).

thf(func_def_4954,type,
    sK3452: int > int > int > int > int ).

thf(func_def_4955,type,
    sK3453: int > int > int > int > int ).

thf(func_def_4956,type,
    sK3454: int > int > int > int > int ).

thf(func_def_4957,type,
    sK3455: int > int > int > int > int ).

thf(func_def_4958,type,
    sK3456: int > int > int > int > int ).

thf(func_def_4959,type,
    sK3457: int > int > int > int > int ).

thf(func_def_4960,type,
    sK3458: int > int > int > int > int ).

thf(func_def_4961,type,
    sK3459: int > int > int > int > int ).

thf(func_def_4962,type,
    sK3460: int > int > int > int > int ).

thf(func_def_4963,type,
    sK3461: int > int > int > int > int ).

thf(func_def_4964,type,
    sK3462: int > int > int > int > int ).

thf(func_def_4965,type,
    sK3463: int > int > int > int > int ).

thf(func_def_4966,type,
    sK3464: int > int > int > int > int ).

thf(func_def_4967,type,
    sK3465: int > int > int > int > int ).

thf(func_def_4968,type,
    sK3466: int > int > int > int > int ).

thf(func_def_4969,type,
    sK3467: int > int > int > int > int ).

thf(func_def_4970,type,
    sK3468: int > int > int > int > int ).

thf(func_def_4971,type,
    sK3469: int > int > int > int > int ).

thf(func_def_4972,type,
    sK3470: int > int > int > int > int ).

thf(func_def_4973,type,
    sK3471: int > int > int > int > int ).

thf(func_def_4974,type,
    sK3472: int > int > int > int > int ).

thf(func_def_4975,type,
    sK3473: int > int > int > int > int ).

thf(func_def_4976,type,
    sK3474: int > int > int > int > int ).

thf(func_def_4977,type,
    sK3475: int > int > int > int > int ).

thf(func_def_4978,type,
    sK3476: int > int > int > int > int ).

thf(func_def_4979,type,
    sK3477: int > int > int > int > int ).

thf(func_def_4980,type,
    sK3478: int > int > int > int > int ).

thf(func_def_4981,type,
    sK3479: int > int > int > int > int ).

thf(func_def_4982,type,
    sK3480: int > int > int > int > int ).

thf(func_def_4983,type,
    sK3481: int > int > int > int > int ).

thf(func_def_4984,type,
    sK3482: int > int > int > int > int ).

thf(func_def_4985,type,
    sK3483: int > int > int > int > int ).

thf(func_def_4986,type,
    sK3484: int > int > int > int > int ).

thf(func_def_4987,type,
    sK3485: int > int > int > int > int ).

thf(func_def_4988,type,
    sK3486: int > int > int > int > int ).

thf(func_def_4989,type,
    sK3487: int > int > int > int > int ).

thf(func_def_4990,type,
    sK3488: int > int > int > int > int ).

thf(func_def_4991,type,
    sK3489: int > int > int > int > int ).

thf(func_def_4992,type,
    sK3490: int > int > int > int > int ).

thf(func_def_4993,type,
    sK3491: int > int > int > int > int ).

thf(func_def_4994,type,
    sK3492: int > int > int > int > int ).

thf(func_def_4995,type,
    sK3493: int > int > int > int > int ).

thf(func_def_4996,type,
    sK3494: int > int > int > int > int ).

thf(func_def_4997,type,
    sK3495: int > int > int > int > int ).

thf(func_def_4998,type,
    sK3496: int > int > int > int > int ).

thf(func_def_4999,type,
    sK3497: int > int > int > int > int ).

thf(func_def_5000,type,
    sK3498: int > int > int > int > int ).

thf(func_def_5001,type,
    sK3499: int > int > int > int > int ).

thf(func_def_5002,type,
    sK3500: int > int > int > int > int ).

thf(func_def_5003,type,
    sK3501: int > int > int > int > int ).

thf(func_def_5004,type,
    sK3502: int > int > int > int > int ).

thf(func_def_5005,type,
    sK3503: int > int > int > int > int ).

thf(func_def_5006,type,
    sK3504: int > int > int > int > int ).

thf(func_def_5007,type,
    sK3505: int > int > int > int > int ).

thf(func_def_5008,type,
    sK3506: int > int > int > int > int ).

thf(func_def_5009,type,
    sK3507: int > int > int > int > int ).

thf(func_def_5010,type,
    sK3508: int > int > int > int > int ).

thf(func_def_5011,type,
    sK3509: int > int > int > int > int ).

thf(func_def_5012,type,
    sK3510: int > int > int > int > int ).

thf(func_def_5013,type,
    sK3511: int > int > int > int > int ).

thf(func_def_5014,type,
    sK3512: int > int > int > int > int ).

thf(func_def_5015,type,
    sK3513: int > int > int > int > int ).

thf(func_def_5016,type,
    sK3514: int > int > int > int > int ).

thf(func_def_5017,type,
    sK3515: int > int > int > int > int ).

thf(func_def_5018,type,
    sK3516: int > int > int > int > int ).

thf(func_def_5019,type,
    sK3517: int > int > int > int > int ).

thf(func_def_5020,type,
    sK3518: int > int > int > int > int ).

thf(func_def_5021,type,
    sK3519: int > int > int > int > int ).

thf(func_def_5022,type,
    sK3520: int > int > int > int > int ).

thf(func_def_5023,type,
    sK3521: int > int > int > int > int ).

thf(func_def_5024,type,
    sK3522: int > int > int > int > int ).

thf(func_def_5025,type,
    sK3523: int > int > int > int > int ).

thf(func_def_5026,type,
    sK3524: int > int > int > int > int ).

thf(func_def_5027,type,
    sK3525: int > int > int > int > int ).

thf(func_def_5028,type,
    sK3526: int > int > int > int > int ).

thf(func_def_5029,type,
    sK3527: int > int > int > int > int ).

thf(func_def_5030,type,
    sK3528: int > int > int > int > int ).

thf(func_def_5031,type,
    sK3529: int > int > int > int > int ).

thf(func_def_5032,type,
    sK3530: int > int > int > int > int ).

thf(func_def_5033,type,
    sK3531: int > int > int > int > int ).

thf(func_def_5034,type,
    sK3532: int > int > int > int > int ).

thf(func_def_5035,type,
    sK3533: int > int > int > int > int ).

thf(func_def_5036,type,
    sK3534: int > int > int > int > int ).

thf(func_def_5037,type,
    sK3535: int > int > int > int > int ).

thf(func_def_5038,type,
    sK3536: int > int > int > int > int ).

thf(func_def_5039,type,
    sK3537: int > int > int > int > int ).

thf(func_def_5040,type,
    sK3538: int > int > int > int > int ).

thf(func_def_5041,type,
    sK3539: int > int > int > int > int ).

thf(func_def_5042,type,
    sK3540: int > int > int > int > int ).

thf(func_def_5043,type,
    sK3541: int > int > int > int > int ).

thf(func_def_5044,type,
    sK3542: int > int > int > int > int ).

thf(func_def_5045,type,
    sK3543: int > int > int > int > int ).

thf(func_def_5046,type,
    sK3544: int > int > int > int > int ).

thf(func_def_5047,type,
    sK3545: int > int > int > int > int ).

thf(func_def_5048,type,
    sK3546: int > int > int > int > int ).

thf(func_def_5049,type,
    sK3547: int > int > int > int > int ).

thf(func_def_5050,type,
    sK3548: int > int > int > int > int ).

thf(func_def_5051,type,
    sK3549: int > int > int > int > int ).

thf(func_def_5052,type,
    sK3550: int > int > int > int > int ).

thf(func_def_5053,type,
    sK3551: int > int > int > int > int ).

thf(func_def_5054,type,
    sK3552: int > int > int > int > int ).

thf(func_def_5055,type,
    sK3553: int > int > int > int > int ).

thf(func_def_5056,type,
    sK3554: int > int > int > int > int ).

thf(func_def_5057,type,
    sK3555: int > int > int > int > int ).

thf(func_def_5058,type,
    sK3556: int > int > int > int > int ).

thf(func_def_5059,type,
    sK3557: int > int > int > int > int ).

thf(func_def_5060,type,
    sK3558: int > int > int > int > int ).

thf(func_def_5061,type,
    sK3559: int > int > int > int > int ).

thf(func_def_5062,type,
    sK3560: int > int > int > int > int ).

thf(func_def_5063,type,
    sK3561: int > int > int > int > int ).

thf(func_def_5064,type,
    sK3562: int > int > int > int > int ).

thf(func_def_5065,type,
    sK3563: int > int > int > int > int ).

thf(func_def_5066,type,
    sK3564: int > int > int > int > int ).

thf(func_def_5067,type,
    sK3565: int > int > int > int > int ).

thf(func_def_5068,type,
    sK3566: int > int > int > int > int ).

thf(func_def_5069,type,
    sK3567: int > int > int > int > int ).

thf(func_def_5070,type,
    sK3568: int > int > int > int > int ).

thf(func_def_5071,type,
    sK3569: int > int > int > int > int ).

thf(func_def_5072,type,
    sK3570: int > int > int > int > int ).

thf(func_def_5073,type,
    sK3571: int > int > int > int > int ).

thf(func_def_5074,type,
    sK3572: int > int > int > int > int ).

thf(func_def_5075,type,
    sK3573: int > int > int > int > int ).

thf(func_def_5076,type,
    sK3574: int > int > int > int > int ).

thf(func_def_5077,type,
    sK3575: int > int > int > int > int ).

thf(func_def_5078,type,
    sK3576: int > int > int > int > int ).

thf(func_def_5079,type,
    sK3577: int > int > int > int > int ).

thf(func_def_5080,type,
    sK3578: int > int > int > int > int ).

thf(func_def_5081,type,
    sK3579: int > int > int > int > int ).

thf(func_def_5082,type,
    sK3580: int > int > int > int > int ).

thf(func_def_5083,type,
    sK3581: int > int > int > int > int ).

thf(func_def_5084,type,
    sK3582: int > int > int > int > int ).

thf(func_def_5085,type,
    sK3583: int > int > int > int > int ).

thf(func_def_5086,type,
    sK3584: int > int > int > int > int ).

thf(func_def_5087,type,
    sK3585: int > int > int > int > int ).

thf(func_def_5088,type,
    sK3586: int > int > int > int > int ).

thf(func_def_5089,type,
    sK3587: int > int > int > int > int ).

thf(func_def_5090,type,
    sK3588: int > int > int > int > int ).

thf(func_def_5091,type,
    sK3589: int > int > int > int > int ).

thf(func_def_5092,type,
    sK3590: int > int > int > int > int ).

thf(func_def_5093,type,
    sK3591: int > int > int > int > int ).

thf(func_def_5094,type,
    sK3592: int > int > int > int > int ).

thf(func_def_5095,type,
    sK3593: int > int > int > int > int ).

thf(func_def_5096,type,
    sK3594: int > int > int > int > int ).

thf(func_def_5097,type,
    sK3595: int > int > int > int > int ).

thf(func_def_5098,type,
    sK3596: int > int > int > int > int ).

thf(func_def_5099,type,
    sK3597: int > int > int > int > int ).

thf(func_def_5100,type,
    sK3598: int > int > int > int > int ).

thf(func_def_5101,type,
    sK3599: int > int > int > int > int ).

thf(func_def_5102,type,
    sK3600: int > int > int > int > int ).

thf(func_def_5103,type,
    sK3601: int > int > int > int > int ).

thf(func_def_5104,type,
    sK3602: int > int > int > int > int ).

thf(func_def_5105,type,
    sK3603: int > int > int > int > int ).

thf(func_def_5106,type,
    sK3604: int > int > int > int > int ).

thf(func_def_5107,type,
    sK3605: int > int > int > int > int ).

thf(func_def_5108,type,
    sK3606: int > int > int > int > int ).

thf(func_def_5109,type,
    sK3607: int > int > int > int > int ).

thf(func_def_5110,type,
    sK3608: int > int > int > int > int ).

thf(func_def_5111,type,
    sK3609: int > int > int > int > int ).

thf(func_def_5112,type,
    sK3610: int > int > int > int > int ).

thf(func_def_5113,type,
    sK3611: int > int > int > int > int ).

thf(func_def_5114,type,
    sK3612: int > int > int > int > int ).

thf(func_def_5115,type,
    sK3613: int > int > int > int > int ).

thf(func_def_5116,type,
    sK3614: int > int > int > int > int ).

thf(func_def_5117,type,
    sK3615: int > int > int > int > int ).

thf(func_def_5118,type,
    sK3616: int > int > int > int > int ).

thf(func_def_5119,type,
    sK3617: int > int > int > int > int ).

thf(func_def_5120,type,
    sK3618: int > int > int > int > int ).

thf(func_def_5121,type,
    sK3619: int > int > int > int > int ).

thf(func_def_5122,type,
    sK3620: int > int > int > int > int ).

thf(func_def_5123,type,
    sK3621: int > int > int > int > int ).

thf(func_def_5124,type,
    sK3622: int > int > int > int > int ).

thf(func_def_5125,type,
    sK3623: int > int > int > int > int ).

thf(func_def_5126,type,
    sK3624: int > int > int > int > int ).

thf(func_def_5127,type,
    sK3625: int > int > int > int > int ).

thf(func_def_5128,type,
    sK3626: int > int > int > int > int ).

thf(func_def_5129,type,
    sK3627: int > int > int > int > int ).

thf(func_def_5130,type,
    sK3628: int > int > int > int > int ).

thf(func_def_5131,type,
    sK3629: int > int > int > int > int ).

thf(func_def_5132,type,
    sK3630: int > int > int > int > int ).

thf(func_def_5133,type,
    sK3631: int > int > int > int > int ).

thf(func_def_5134,type,
    sK3632: int > int > int > int > int ).

thf(func_def_5135,type,
    sK3633: int > int > int > int > int ).

thf(func_def_5136,type,
    sK3634: int > int > int > int > int ).

thf(func_def_5137,type,
    sK3635: int > int > int > int > int ).

thf(func_def_5138,type,
    sK3636: int > int > int > int > int ).

thf(func_def_5139,type,
    sK3637: int > int > int > int > int ).

thf(func_def_5140,type,
    sK3638: int > int > int > int > int ).

thf(func_def_5141,type,
    sK3639: int > int > int > int > int ).

thf(func_def_5142,type,
    sK3640: int > int > int > int > int ).

thf(func_def_5143,type,
    sK3641: int > int > int > int > int ).

thf(func_def_5144,type,
    sK3642: int > int > int > int > int ).

thf(func_def_5145,type,
    sK3643: int > int > int > int > int ).

thf(func_def_5146,type,
    sK3644: int > int > int > int > int ).

thf(func_def_5147,type,
    sK3645: int > int > int > int > int ).

thf(func_def_5148,type,
    sK3646: int > int > int > int > int ).

thf(func_def_5149,type,
    sK3647: int > int > int > int > int ).

thf(func_def_5150,type,
    sK3648: int > int > int > int > int ).

thf(func_def_5151,type,
    sK3649: int > int > int > int > int ).

thf(func_def_5152,type,
    sK3650: int > int > int > int > int ).

thf(func_def_5153,type,
    sK3651: int > int > int > int > int ).

thf(func_def_5154,type,
    sK3652: int > int > int > int > int ).

thf(func_def_5155,type,
    sK3653: int > int > int > int > int ).

thf(func_def_5156,type,
    sK3654: int > int > int > int > int ).

thf(func_def_5157,type,
    sK3655: int > int > int > int > int ).

thf(func_def_5158,type,
    sK3656: int > int > int > int > int ).

thf(func_def_5159,type,
    sK3657: int > int > int > int > int ).

thf(func_def_5160,type,
    sK3658: int > int > int > int > int ).

thf(func_def_5161,type,
    sK3659: int > int > int > int > int ).

thf(func_def_5162,type,
    sK3660: int > int > int > int > int ).

thf(func_def_5163,type,
    sK3661: int > int > int > int > int ).

thf(func_def_5164,type,
    sK3662: int > int > int > int > int ).

thf(func_def_5165,type,
    sK3663: int > int > int > int > int ).

thf(func_def_5166,type,
    sK3664: int > int > int > int > int ).

thf(func_def_5167,type,
    sK3665: int > int > int > int > int ).

thf(func_def_5168,type,
    sK3666: int > int > int > int > int ).

thf(func_def_5169,type,
    sK3667: int > int > int > int > int ).

thf(func_def_5170,type,
    sK3668: int > int > int > int > int ).

thf(func_def_5171,type,
    sK3669: int > int > int > int > int ).

thf(func_def_5172,type,
    sK3670: int > int > int > int > int ).

thf(func_def_5173,type,
    sK3671: int > int > int > int > int ).

thf(func_def_5174,type,
    sK3672: int > int > int > int > int ).

thf(func_def_5175,type,
    sK3673: int > int > int > int > int ).

thf(func_def_5176,type,
    sK3674: int > int > int > int > int ).

thf(func_def_5177,type,
    sK3675: int > int > int > int > int ).

thf(func_def_5178,type,
    sK3676: int > int > int > int > int ).

thf(func_def_5179,type,
    sK3677: int > int > int > int > int ).

thf(func_def_5180,type,
    sK3678: int > int > int > int > int ).

thf(func_def_5181,type,
    sK3679: int > int > int > int > int ).

thf(func_def_5182,type,
    sK3680: int > int > int > int > int ).

thf(func_def_5183,type,
    sK3681: int > int > int > int > int ).

thf(func_def_5184,type,
    sK3682: int > int > int > int > int ).

thf(func_def_5185,type,
    sK3683: int > int > int > int > int ).

thf(func_def_5186,type,
    sK3684: int > int > int > int > int ).

thf(func_def_5187,type,
    sK3685: int > int > int > int > int ).

thf(func_def_5188,type,
    sK3686: int > int > int > int > int ).

thf(func_def_5189,type,
    sK3687: int > int > int > int > int ).

thf(func_def_5190,type,
    sK3688: int > int > int > int > int ).

thf(func_def_5191,type,
    sK3689: int > int > int > int > int ).

thf(func_def_5192,type,
    sK3690: int > int > int > int > int ).

thf(func_def_5193,type,
    sK3691: int > set_int > ( int > $o ) > int ).

thf(func_def_5194,type,
    sK3692: int > ( int > $o ) > int ).

thf(func_def_5195,type,
    sK3693: int > set_int > ( int > $o ) > int ).

thf(func_def_5196,type,
    sK3694: int > set_int > ( int > $o ) > int ).

thf(func_def_5197,type,
    sK3695: int > ( int > $o ) > int ).

thf(func_def_5198,type,
    sK3696: int > set_int > ( int > $o ) > int ).

thf(func_def_5199,type,
    sK3697: int > set_int > ( int > $o ) > int ).

thf(func_def_5200,type,
    sK3698: ( int > $o ) > int ).

thf(func_def_5201,type,
    sK3699: ( int > $o ) > int ).

thf(func_def_5202,type,
    sK3700: ( int > $o ) > int ).

thf(func_def_5203,type,
    sK3701: int > ( int > $o ) > int ).

thf(func_def_5204,type,
    sK3702: int > set_int > ( int > $o ) > int ).

thf(func_def_5205,type,
    sK3703: int > set_int > ( int > $o ) > int ).

thf(func_def_5206,type,
    sK3704: int > set_int > ( int > $o ) > int ).

thf(func_def_5207,type,
    sK3705: int > ( int > $o ) > int ).

thf(func_def_5208,type,
    sK3706: int > set_int > ( int > $o ) > int ).

thf(func_def_5209,type,
    sK3707: int > set_int > ( int > $o ) > int ).

thf(func_def_5210,type,
    sK3708: int > set_int > ( int > $o ) > int ).

thf(func_def_5211,type,
    sK3709: ( int > $o ) > int ).

thf(func_def_5212,type,
    sK3710: ( int > $o ) > int ).

thf(func_def_5213,type,
    sK3711: ( int > $o ) > int ).

thf(func_def_5214,type,
    sK3712: nat > nat > int ).

thf(func_def_5215,type,
    sK3713: nat > nat > int ).

thf(func_def_5216,type,
    sK3714: rat > rat > rat ).

thf(func_def_5217,type,
    sK3715: ( int > set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat > int ).

thf(func_def_5218,type,
    sK3716: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_5219,type,
    sK3717: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_5220,type,
    sK3718: ( int > set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat > int ).

thf(func_def_5221,type,
    sK3719: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_5222,type,
    sK3720: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_5223,type,
    sK3721: code_integer > code_integer > code_integer ).

thf(func_def_5224,type,
    sK3722: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_5225,type,
    sK3723: code_integer > code_integer ).

thf(func_def_5226,type,
    sK3724: set_Pr4532377907799695533_nat_o > set_Pr4532377907799695533_nat_o > produc3658429121746597890et_nat > $o ).

thf(func_def_5227,type,
    sK3725: rat > ( int > $o ) > int ).

thf(func_def_5228,type,
    sK3726: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_5229,type,
    sK3727: code_integer > code_integer > code_integer ).

thf(func_def_5230,type,
    sK3728: int > int > int > int ).

thf(func_def_5231,type,
    sK3729: int > int > int > int ).

thf(func_def_5232,type,
    sK3730: set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_5233,type,
    sK3731: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_5234,type,
    sK3732: ( set_Pr1261947904930325089at_nat > int ) > set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_5235,type,
    sK3733: ( set_Pr1261947904930325089at_nat > int ) > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_5236,type,
    sK3734: set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > int ).

thf(func_def_5237,type,
    sK3735: ( set_Pr1261947904930325089at_nat > int ) > set_se7855581050983116737at_nat > ( int > set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_5238,type,
    sK3736: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > $o ) > rat ).

thf(func_def_5239,type,
    sK3737: ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_5240,type,
    sK3738: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_5241,type,
    sK3739: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > set_Pr958786334691620121nt_int ).

thf(func_def_5242,type,
    sK3740: ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_5243,type,
    sK3741: ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_5244,type,
    sK3742: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > set_Pr958786334691620121nt_int ).

thf(func_def_5245,type,
    sK3743: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_5246,type,
    sK3744: int > int ).

thf(func_def_5247,type,
    sK3745: int > set_int > ( int > $o ) > int ).

thf(func_def_5248,type,
    sK3746: int > ( int > $o ) > int ).

thf(func_def_5249,type,
    sK3747: int > set_int > ( int > $o ) > int ).

thf(func_def_5250,type,
    sK3748: int > set_int > ( int > $o ) > int ).

thf(func_def_5251,type,
    sK3749: int > set_int > ( int > $o ) > int ).

thf(func_def_5252,type,
    sK3750: int > set_int > ( int > $o ) > int ).

thf(func_def_5253,type,
    sK3751: ( int > $o ) > int ).

thf(func_def_5254,type,
    sK3752: ( int > $o ) > int ).

thf(func_def_5255,type,
    sK3753: int > set_int > ( int > $o ) > int ).

thf(func_def_5256,type,
    sK3754: int > ( int > $o ) > int ).

thf(func_def_5257,type,
    sK3755: int > set_int > ( int > $o ) > int ).

thf(func_def_5258,type,
    sK3756: int > set_int > ( int > $o ) > int ).

thf(func_def_5259,type,
    sK3757: int > set_int > ( int > $o ) > int ).

thf(func_def_5260,type,
    sK3758: ( int > $o ) > int ).

thf(func_def_5261,type,
    sK3759: nat > rat > nat ).

thf(func_def_5262,type,
    sK3760: set_set_nat > set_nat ).

thf(func_def_5263,type,
    sK3761: nat > nat ).

thf(func_def_5264,type,
    sK3762: nat > nat > code_integer > code_integer ).

thf(func_def_5265,type,
    sK3763: nat > nat > code_integer > code_integer ).

thf(func_def_5266,type,
    sK3764: nat > nat > code_integer > code_integer ).

thf(func_def_5267,type,
    sK3765: nat > code_integer > nat > code_integer ).

thf(func_def_5268,type,
    sK3766: set_se6260736226359567993nt_int > ( rat > set_Pr958786334691620121nt_int ) > rat ).

thf(func_def_5269,type,
    sK3767: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > rat ).

thf(func_def_5270,type,
    sK3768: set_se6260736226359567993nt_int > ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > set_Pr958786334691620121nt_int ).

thf(f9726,conjecture,
    ( ( x != y )
    & ( ( ( abs_assn
          @ ^ [X0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ y @ X0 )
              & ( rep_assn @ x @ X0 ) ) )
        = x )
      = ( ( abs_assn
          @ ^ [X0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ y @ X0 )
              & ( rep_assn @ x @ X0 ) ) )
       != y ) )
    & ( x
      = ( abs_assn
        @ ^ [X0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ y @ X0 )
            & ( rep_assn @ x @ X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f9727,negated_conjecture,
    ~ ( ( x != y )
      & ( ( ( abs_assn
            @ ^ [X0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ y @ X0 )
                & ( rep_assn @ x @ X0 ) ) )
          = x )
        = ( ( abs_assn
            @ ^ [X0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ y @ X0 )
                & ( rep_assn @ x @ X0 ) ) )
         != y ) )
      & ( x
        = ( abs_assn
          @ ^ [X0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ y @ X0 )
              & ( rep_assn @ x @ X0 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f9726]) ).

thf(f14241,plain,
    ~ ( ( x != y )
      & ( ( ( abs_assn
            @ ^ [X0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ y @ X0 )
                & ( rep_assn @ x @ X0 ) ) )
          = x )
        = ( ( abs_assn
            @ ^ [X1: produc3658429121746597890et_nat] :
                ( ( rep_assn @ y @ X1 )
                & ( rep_assn @ x @ X1 ) ) )
         != y ) )
      & ( x
        = ( abs_assn
          @ ^ [X2: produc3658429121746597890et_nat] :
              ( ( rep_assn @ y @ X2 )
              & ( rep_assn @ x @ X2 ) ) ) ) ),
    inference(rectify,[],[f9727]) ).

thf(f14242,plain,
    ( ( ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) )
      & ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
       != y ) )
   != ( ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
        = x )
      & ( x != y ) ) ),
    inference(fool_elimination,[],[f14241]) ).

thf(f23062,plain,
    ( ( ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) )
      & ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
       != y ) )
   != ( ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
        = x )
      & ( x != y ) ) ),
    inference(flattening,[],[f14242]) ).

thf(f45534,plain,
    ( ( ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) )
      & ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
       != y ) )
   != ( ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
        = x )
      & ( x != y ) ) ),
    inference(cnf_transformation,[],[f23062]) ).

thf(f100313,plain,
    ( ( ( ( x
          = ( abs_assn
            @ ^ [Y0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ x @ Y0 )
                & ( rep_assn @ y @ Y0 ) ) ) )
        & ( ( abs_assn
            @ ^ [Y0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ x @ Y0 )
                & ( rep_assn @ y @ Y0 ) ) )
         != y ) )
      = $true )
    | ( $true
      = ( ( ( abs_assn
            @ ^ [Y0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ x @ Y0 )
                & ( rep_assn @ y @ Y0 ) ) )
          = x )
        & ( x != y ) ) ) ),
    inference(xor_proxy_clausification,[],[f45534]) ).

thf(f100314,plain,
    ( ( ( ( x
          = ( abs_assn
            @ ^ [Y0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ x @ Y0 )
                & ( rep_assn @ y @ Y0 ) ) ) )
        & ( ( abs_assn
            @ ^ [Y0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ x @ Y0 )
                & ( rep_assn @ y @ Y0 ) ) )
         != y ) )
      = $false )
    | ( $false
      = ( ( ( abs_assn
            @ ^ [Y0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ x @ Y0 )
                & ( rep_assn @ y @ Y0 ) ) )
          = x )
        & ( x != y ) ) ) ),
    inference(xor_proxy_clausification,[],[f45534]) ).

thf(f100315,plain,
    ( ( $false
      = ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
       != y ) )
    | ( $false
      = ( ( ( abs_assn
            @ ^ [Y0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ x @ Y0 )
                & ( rep_assn @ y @ Y0 ) ) )
          = x )
        & ( x != y ) ) )
    | ( $false
      = ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) ) ) ),
    inference(and_proxy_clausification,[],[f100314]) ).

thf(f100316,plain,
    ( ( $false
      = ( ( ( abs_assn
            @ ^ [Y0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ x @ Y0 )
                & ( rep_assn @ y @ Y0 ) ) )
          = x )
        & ( x != y ) ) )
    | ( $true
      = ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
        = y ) )
    | ( $false
      = ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f100315]) ).

thf(f100317,plain,
    ( ( $true
      = ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
        = y ) )
    | ( $false
      = ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) ) )
    | ( ( x != y )
      = $false )
    | ( ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
        = x )
      = $false ) ),
    inference(and_proxy_clausification,[],[f100316]) ).

thf(f100318,plain,
    ( ( ( x != y )
      = $false )
    | ( y
      = ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | ( $false
      = ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) ) )
    | ( ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
        = x )
      = $false ) ),
    inference(equality_proxy_clausification,[],[f100317]) ).

thf(f100319,plain,
    ( ( $true
      = ( x = y ) )
    | ( ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
        = x )
      = $false )
    | ( $false
      = ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) ) )
    | ( y
      = ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) ) ),
    inference(not_proxy_clausification,[],[f100318]) ).

thf(f100320,plain,
    ( ( ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
        = x )
      = $false )
    | ( $false
      = ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) ) )
    | ( x = y )
    | ( y
      = ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) ) ),
    inference(equality_proxy_clausification,[],[f100319]) ).

thf(f100321,plain,
    ( ( x = y )
    | ( y
      = ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | ( x
     != ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | ( $false
      = ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) ) ) ),
    inference(equality_proxy_clausification,[],[f100320]) ).

thf(f100322,plain,
    ( ( x
     != ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | ( x
     != ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | ( y
      = ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | ( x = y ) ),
    inference(equality_proxy_clausification,[],[f100321]) ).

thf(f100323,plain,
    ( ( x = y )
    | ( x
     != ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | ( y
      = ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) ) ),
    inference(duplicate_literal_removal,[],[f100322]) ).

thf(f100324,plain,
    ( ( $true
      = ( ( ( abs_assn
            @ ^ [Y0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ x @ Y0 )
                & ( rep_assn @ y @ Y0 ) ) )
          = x )
        & ( x != y ) ) )
    | ( $true
      = ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
       != y ) ) ),
    inference(and_proxy_clausification,[],[f100313]) ).

thf(f100325,plain,
    ( ( $true
      = ( ( ( abs_assn
            @ ^ [Y0: produc3658429121746597890et_nat] :
                ( ( rep_assn @ x @ Y0 )
                & ( rep_assn @ y @ Y0 ) ) )
          = x )
        & ( x != y ) ) )
    | ( $true
      = ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) ) ) ),
    inference(and_proxy_clausification,[],[f100313]) ).

thf(f100327,plain,
    ( ( ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
        = x )
      = $true )
    | ( $true
      = ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) ) ) ),
    inference(and_proxy_clausification,[],[f100325]) ).

thf(f100328,plain,
    ( ( x
      = ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | ( $true
      = ( x
        = ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) ) ) ) ),
    inference(equality_proxy_clausification,[],[f100327]) ).

thf(f100329,plain,
    ( ( x
      = ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | ( x
      = ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) ) ),
    inference(equality_proxy_clausification,[],[f100328]) ).

thf(f100330,plain,
    ( x
    = ( abs_assn
      @ ^ [Y0: produc3658429121746597890et_nat] :
          ( ( rep_assn @ x @ Y0 )
          & ( rep_assn @ y @ Y0 ) ) ) ),
    inference(duplicate_literal_removal,[],[f100329]) ).

thf(f100334,plain,
    ( ( ( x != y )
      = $true )
    | ( $true
      = ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
       != y ) ) ),
    inference(and_proxy_clausification,[],[f100324]) ).

thf(f100339,plain,
    ( ( $false
      = ( x = y ) )
    | ( $true
      = ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
       != y ) ) ),
    inference(not_proxy_clausification,[],[f100334]) ).

thf(f100340,plain,
    ( ( x != y )
    | ( $true
      = ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
       != y ) ) ),
    inference(equality_proxy_clausification,[],[f100339]) ).

thf(f100341,plain,
    ( ( $false
      = ( ( abs_assn
          @ ^ [Y0: produc3658429121746597890et_nat] :
              ( ( rep_assn @ x @ Y0 )
              & ( rep_assn @ y @ Y0 ) ) )
        = y ) )
    | ( x != y ) ),
    inference(not_proxy_clausification,[],[f100340]) ).

thf(f100342,plain,
    ( ( y
     != ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | ( x != y ) ),
    inference(equality_proxy_clausification,[],[f100341]) ).

thf(f157481,definition,
    ( spl3769_1
  <=> ( y
      = ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl3769_1])],[avatar_definition]) ).

thf(f157482,plain,
    ( ( y
      = ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | ~ spl3769_1 ),
    inference(avatar_component_clause,[],[f157481]) ).

thf(f157483,plain,
    ( ( y
     != ( abs_assn
        @ ^ [Y0: produc3658429121746597890et_nat] :
            ( ( rep_assn @ x @ Y0 )
            & ( rep_assn @ y @ Y0 ) ) ) )
    | spl3769_1 ),
    inference(avatar_component_clause,[],[f157481]) ).

thf(f157485,definition,
    ( spl3769_2
  <=> ( x = y ) ),
    introduced(definition,[new_symbols(definition,[spl3769_2])],[avatar_definition]) ).

thf(f157487,plain,
    ( ( x != y )
    | spl3769_2 ),
    inference(avatar_component_clause,[],[f157485]) ).

thf(f157488,plain,
    ( ~ spl3769_1
    | ~ spl3769_2 ),
    inference(avatar_split_clause,[],[f100342,f157485,f157481]) ).

thf(f157529,plain,
    ( ( x != y )
    | spl3769_1 ),
    inference(constrained_superposition,[],[f157483,f100330]) ).

thf(f157530,plain,
    ( $false
    | spl3769_1 ),
    inference(global_subsumption,[],[f157529,f100330,f157483,f100323]) ).

thf(f157531,plain,
    spl3769_1,
    inference(avatar_contradiction_clause,[],[f157530]) ).

thf(f157532,plain,
    ( ( x = y )
    | ~ spl3769_1 ),
    inference(forward_demodulation,[],[f157482,f100330]) ).

thf(f157592,plain,
    ( $false
    | ~ spl3769_1
    | spl3769_2 ),
    inference(forward_subsumption_resolution,[],[f157532,f157487]) ).

thf(f157593,plain,
    ( ~ spl3769_1
    | spl3769_2 ),
    inference(avatar_contradiction_clause,[],[f157592]) ).

cnf(s23466,plain,
    ( ~ spl3769_1
    | ~ spl3769_2 ),
    inference(sat_conversion,[],[f157488]) ).

cnf(s23543,plain,
    spl3769_1,
    inference(sat_conversion,[],[f157531]) ).

cnf(s23624,plain,
    ( ~ spl3769_1
    | spl3769_2 ),
    inference(sat_conversion,[],[f157593]) ).

cnf(s23625,plain,
    spl3769_2,
    inference(rat,[],[s23624,s23543]) ).

cnf(s23626,plain,
    $false,
    inference(rat,[],[s23466,s23625,s23543]) ).

thf(f157594,plain,
    $false,
    inference(avatar_sat_refutation,[],[s23626]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP210^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n010.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % 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 20:14:18 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  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
% 13.14/2.73  % (3351569)Will run a generic schedule for satisfiability detection.
% 13.14/2.73  % (3351574)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2639806556_2994 on theBenchmark for (2994ds/0Mi)
% 13.14/2.73  % (3351575)% WARNING: option uhcvi not known.
% 13.14/2.73  % (3351575)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1679106462:i=135531:add=off:rawr=on_2994 on theBenchmark for (2994ds/135531Mi)
% 13.14/2.73  % (3351576)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1173099161:i=88024:add=on:rawr=on_2994 on theBenchmark for (2994ds/88024Mi)
% 13.14/2.73  % (3351577)dis+10_1_sil=32000:sp=arity:random_seed=525912411:i=103:fgj=on_2994 on theBenchmark for (2994ds/103Mi)
% 13.14/2.73  % (3351578)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=409529276:i=116_2994 on theBenchmark for (2994ds/116Mi)
% 13.14/2.73  % (3351579)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1522485928:i=131_2994 on theBenchmark for (2994ds/131Mi)
% 13.14/2.73  % (3351580)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3278879295:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2994 on theBenchmark for (2994ds/159Mi)
% 13.14/2.73  % (3351577)Instruction limit reached! 
% 13.14/2.73  % (3351577)------------------------------
% 13.14/2.73  % (3351577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.14/2.73  % (3351577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.73  % (3351577)CaDiCaL version: 2.1.3
% 13.14/2.73  % (3351577)Termination reason: Instruction limit
% 13.14/2.73  % (3351577)Termination phase: Initialization
% 13.14/2.73  % (3351577)Time elapsed: 0.044 s
% 13.14/2.73  % (3351577)Peak memory usage: 26 MB
% 13.14/2.73  % (3351577)Instructions burned: 104 (million)
% 13.14/2.73  % (3351578)Instruction limit reached! 
% 13.14/2.73  % (3351578)------------------------------
% 13.14/2.73  % (3351578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.14/2.73  % (3351578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.73  % (3351578)CaDiCaL version: 2.1.3
% 13.14/2.73  % (3351578)Termination reason: Instruction limit
% 13.14/2.73  % (3351578)Termination phase: Initialization
% 13.14/2.73  % (3351578)Time elapsed: 0.050 s
% 13.14/2.73  % (3351578)Peak memory usage: 26 MB
% 13.14/2.73  % (3351578)Instructions burned: 118 (million)
% 13.14/2.73  % (3351579)Instruction limit reached! 
% 13.14/2.73  % (3351579)------------------------------
% 13.14/2.73  % (3351579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.14/2.73  % (3351579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.73  % (3351579)CaDiCaL version: 2.1.3
% 13.14/2.73  % (3351579)Termination reason: Instruction limit
% 13.14/2.73  % (3351579)Termination phase: Initialization
% 13.14/2.73  % (3351579)Time elapsed: 0.055 s
% 13.14/2.73  % (3351579)Peak memory usage: 26 MB
% 13.14/2.73  % (3351579)Instructions burned: 132 (million)
% 13.14/2.73  % (3351580)Instruction limit reached! 
% 13.14/2.73  % (3351580)------------------------------
% 13.14/2.73  % (3351580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.14/2.73  % (3351580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.73  % (3351580)CaDiCaL version: 2.1.3
% 13.14/2.73  % (3351580)Termination reason: Instruction limit
% 13.14/2.73  % (3351580)Termination phase: Initialization
% 13.14/2.73  % (3351580)Time elapsed: 0.066 s
% 13.14/2.73  % (3351580)Peak memory usage: 27 MB
% 13.14/2.73  % (3351580)Instructions burned: 160 (million)
% 13.14/2.73  % (3351588)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1400708183:i=714:nm=2_2993 on theBenchmark for (2993ds/714Mi)
% 13.14/2.73  % (3351589)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=100882542:i=131:bd=preordered:fsd=on_2993 on theBenchmark for (2993ds/131Mi)
% 13.14/2.73  % (3351590)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=2907576548:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2993 on theBenchmark for (2993ds/684Mi)
% 13.14/2.73  % (3351592)ott-21_1_sil=16000:fs=off:random_seed=662476895:i=180:av=off:fsr=off_2993 on theBenchmark for (2993ds/180Mi)
% 13.14/2.73  % (3351589)Instruction limit reached! 
% 13.14/2.73  % (3351589)------------------------------
% 13.14/2.73  % (3351589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.14/2.73  % (3351589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.43/4.91  % (3351589)CaDiCaL version: 2.1.3
% 28.43/4.91  % (3351589)Termination reason: Instruction limit
% 28.43/4.91  % (3351589)Termination phase: Initialization
% 28.43/4.91  % (3351589)Time elapsed: 0.055 s
% 28.43/4.91  % (3351589)Peak memory usage: 26 MB
% 28.43/4.91  % (3351589)Instructions burned: 132 (million)
% 28.43/4.91  % (3351596)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2447346427:i=477:bd=all_2992 on theBenchmark for (2992ds/477Mi)
% 28.43/4.91  % (3351592)Instruction limit reached! 
% 28.43/4.91  % (3351592)------------------------------
% 28.43/4.91  % (3351592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.43/4.91  % (3351592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.43/4.91  % (3351592)CaDiCaL version: 2.1.3
% 28.43/4.91  % (3351592)Termination reason: Instruction limit
% 28.43/4.91  % (3351592)Termination phase: Initialization
% 28.43/4.91  % (3351592)Time elapsed: 0.075 s
% 28.43/4.91  % (3351592)Peak memory usage: 27 MB
% 28.43/4.91  % (3351592)Instructions burned: 180 (million)
% 28.43/4.91  % (3351598)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=674438478:fmbsr=1.3:i=865:ins=25_2992 on theBenchmark for (2992ds/865Mi)
% 28.43/4.91  % (3351596)Instruction limit reached! 
% 28.43/4.91  % (3351596)------------------------------
% 28.43/4.91  % (3351596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.43/4.91  % (3351596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.43/4.91  % (3351596)CaDiCaL version: 2.1.3
% 28.43/4.91  % (3351596)Termination reason: Instruction limit
% 28.43/4.91  % (3351596)Termination phase: Initialization
% 28.43/4.91  % (3351596)Time elapsed: 0.195 s
% 28.43/4.91  % (3351596)Peak memory usage: 31 MB
% 28.43/4.91  % (3351596)Instructions burned: 479 (million)
% 28.43/4.91  % (3351588)Instruction limit reached! 
% 28.43/4.91  % (3351588)------------------------------
% 28.43/4.91  % (3351588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.43/4.91  % (3351588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.43/4.91  % (3351588)CaDiCaL version: 2.1.3
% 28.43/4.91  % (3351588)Termination reason: Instruction limit
% 28.43/4.91  % (3351588)Termination phase: Property scanning
% 28.43/4.91  % (3351588)Time elapsed: 0.292 s
% 28.43/4.91  % (3351588)Peak memory usage: 33 MB
% 28.43/4.91  % (3351588)Instructions burned: 716 (million)
% 28.43/4.91  % (3351600)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1154782712:i=1179_2990 on theBenchmark for (2990ds/1179Mi)
% 28.43/4.91  % (3351601)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1351727933:i=889:ins=1_2990 on theBenchmark for (2990ds/889Mi)
% 28.43/4.91  % (3351590)Instruction limit reached! 
% 28.43/4.91  % (3351590)------------------------------
% 28.43/4.91  % (3351590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.43/4.91  % (3351590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.43/4.91  % (3351590)CaDiCaL version: 2.1.3
% 28.43/4.91  % (3351590)Termination reason: Instruction limit
% 28.43/4.91  % (3351590)Termination phase: Property scanning
% 28.43/4.91  % (3351590)Time elapsed: 0.306 s
% 28.43/4.91  % (3351590)Peak memory usage: 33 MB
% 28.43/4.91  % (3351590)Instructions burned: 685 (million)
% 28.43/4.91  % (3351604)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=512071935:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2990 on theBenchmark for (2990ds/692Mi)
% 28.43/4.91  % (3351575)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 28.43/4.91  % (3351598)Instruction limit reached! 
% 28.43/4.91  % (3351598)------------------------------
% 28.43/4.91  % (3351598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.43/4.91  % (3351598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.43/4.91  % (3351598)CaDiCaL version: 2.1.3
% 28.43/4.91  % (3351598)Termination reason: Instruction limit
% 28.43/4.91  % (3351598)Termination phase: Property scanning
% 28.43/4.91  % (3351598)Time elapsed: 0.351 s
% 28.43/4.91  % (3351598)Peak memory usage: 33 MB
% 28.43/4.91  % (3351598)Instructions burned: 866 (million)
% 28.43/4.91  % (3351606)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1539662118:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 28.43/4.91  % (3351604)Instruction limit reached! 
% 28.43/4.91  % (3351604)------------------------------
% 28.43/4.91  % (3351604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.53/7.94  % (3351604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.53/7.94  % (3351604)CaDiCaL version: 2.1.3
% 50.53/7.94  % (3351604)Termination reason: Instruction limit
% 50.53/7.94  % (3351604)Termination phase: Property scanning
% 50.53/7.94  % (3351604)Time elapsed: 0.286 s
% 50.53/7.94  % (3351604)Peak memory usage: 33 MB
% 50.53/7.94  % (3351604)Instructions burned: 694 (million)
% 50.53/7.94  % (3351608)fmb+10_1_sil=64000:random_seed=1787282502:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 50.53/7.94  % (3351601)Instruction limit reached! 
% 50.53/7.94  % (3351601)------------------------------
% 50.53/7.94  % (3351601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.53/7.94  % (3351601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.53/7.94  % (3351601)CaDiCaL version: 2.1.3
% 50.53/7.94  % (3351601)Termination reason: Instruction limit
% 50.53/7.94  % (3351601)Termination phase: Property scanning
% 50.53/7.94  % (3351601)Time elapsed: 0.357 s
% 50.53/7.94  % (3351601)Peak memory usage: 33 MB
% 50.53/7.94  % (3351601)Instructions burned: 889 (million)
% 50.53/7.94  % (3351610)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3579332093:i=9515:nm=5_2986 on theBenchmark for (2986ds/9515Mi)
% 50.53/7.94  % (3351600)Instruction limit reached! 
% 50.53/7.94  % (3351600)------------------------------
% 50.53/7.94  % (3351600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.53/7.94  % (3351600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.53/7.94  % (3351600)CaDiCaL version: 2.1.3
% 50.53/7.94  % (3351600)Termination reason: Instruction limit
% 50.53/7.94  % (3351600)Termination phase: Preprocessing 1
% 50.53/7.94  % (3351600)Time elapsed: 0.479 s
% 50.53/7.94  % (3351600)Peak memory usage: 33 MB
% 50.53/7.94  % (3351600)Instructions burned: 1180 (million)
% 50.53/7.94  % (3351612)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3986916323:fmbsr=1.7:i=920_2985 on theBenchmark for (2985ds/920Mi)
% 50.53/7.94  % (3351606)Instruction limit reached! 
% 50.53/7.94  % (3351606)------------------------------
% 50.53/7.94  % (3351606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.53/7.94  % (3351606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.53/7.94  % (3351606)CaDiCaL version: 2.1.3
% 50.53/7.94  % (3351606)Termination reason: Instruction limit
% 50.53/7.94  % (3351606)Termination phase: Property scanning
% 50.53/7.94  % (3351606)Time elapsed: 0.356 s
% 50.53/7.94  % (3351606)Peak memory usage: 33 MB
% 50.53/7.94  % (3351606)Instructions burned: 882 (million)
% 50.53/7.94  % (3351614)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=205742883:i=5131_2984 on theBenchmark for (2984ds/5131Mi)
% 50.53/7.94  % (3351612)Instruction limit reached! 
% 50.53/7.94  % (3351612)------------------------------
% 50.53/7.94  % (3351612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.53/7.94  % (3351612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.53/7.94  % (3351612)CaDiCaL version: 2.1.3
% 50.53/7.94  % (3351612)Termination reason: Instruction limit
% 50.53/7.94  % (3351612)Termination phase: Property scanning
% 50.53/7.94  % (3351612)Time elapsed: 0.372 s
% 50.53/7.94  % (3351612)Peak memory usage: 33 MB
% 50.53/7.94  % (3351612)Instructions burned: 922 (million)
% 50.53/7.94  % (3351616)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3269432561:i=1472:ins=7:fdi=8:gsp=on_2981 on theBenchmark for (2981ds/1472Mi)
% 50.53/7.94  % (3351614)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 50.53/7.94  % Exception at run slice level
% 50.53/7.94  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 50.53/7.94  % (3351618)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2442385788:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 50.53/7.94  % (3351616)Instruction limit reached! 
% 50.53/7.94  % (3351616)------------------------------
% 50.53/7.94  % (3351616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.53/7.94  % (3351616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.53/7.94  % (3351616)CaDiCaL version: 2.1.3
% 50.53/7.94  % (3351616)Termination reason: Instruction limit
% 50.53/7.94  % (3351616)Termination phase: Preprocessing 3
% 50.53/7.94  % (3351616)Time elapsed: 0.609 s
% 50.53/7.94  % (3351616)Peak memory usage: 40 MB
% 50.53/7.94  % (3351616)Instructions burned: 1473 (million)
% 50.53/7.94  % (3351620)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1583602174:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 111.66/16.55  % (3351608)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 111.66/16.55  % (3351620)Instruction limit reached! 
% 111.66/16.55  % (3351620)------------------------------
% 111.66/16.55  % (3351620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.66/16.55  % (3351620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.66/16.55  % (3351620)CaDiCaL version: 2.1.3
% 111.66/16.55  % (3351620)Termination reason: Instruction limit
% 111.66/16.55  % (3351620)Termination phase: Function definition elimination
% 111.66/16.55  % (3351620)Time elapsed: 0.885 s
% 111.66/16.55  % (3351620)Peak memory usage: 41 MB
% 111.66/16.55  % (3351620)Instructions burned: 2176 (million)
% 111.66/16.55  % (3351622)ott-2_1_sil=16000:newcnf=on:random_seed=116938442:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2966 on theBenchmark for (2966ds/869Mi)
% 111.66/16.55  % (3351618)Instruction limit reached! 
% 111.66/16.55  % (3351618)------------------------------
% 111.66/16.55  % (3351618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.66/16.55  % (3351618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.66/16.55  % (3351618)CaDiCaL version: 2.1.3
% 111.66/16.55  % (3351618)Termination reason: Instruction limit
% 111.66/16.55  % (3351618)Termination phase: Property scanning
% 111.66/16.55  % (3351618)Time elapsed: 1.328 s
% 111.66/16.55  % (3351618)Peak memory usage: 47 MB
% 111.66/16.55  % (3351618)Instructions burned: 6328 (million)
% 111.66/16.55  % (3351624)ott+10_1_sil=32000:tgt=ground:random_seed=3548707448:i=5114:av=off_2964 on theBenchmark for (2964ds/5114Mi)
% 111.66/16.55  % (3351575)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 111.66/16.55  % (3351614)Instruction limit reached! 
% 111.66/16.55  % (3351614)------------------------------
% 111.66/16.55  % (3351614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.66/16.55  % (3351614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.66/16.55  % (3351614)CaDiCaL version: 2.1.3
% 111.66/16.55  % (3351614)Termination reason: Instruction limit
% 111.66/16.55  % (3351614)Termination phase: Property scanning
% 111.66/16.55  % (3351614)Time elapsed: 2.054 s
% 111.66/16.55  % (3351614)Peak memory usage: 46 MB
% 111.66/16.55  % (3351614)Instructions burned: 5132 (million)
% 111.66/16.55  % (3351626)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2818704894:i=54282_2964 on theBenchmark for (2964ds/54282Mi)
% 111.66/16.55  % (3351622)Instruction limit reached! 
% 111.66/16.55  % (3351622)------------------------------
% 111.66/16.55  % (3351622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.66/16.55  % (3351622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.66/16.55  % (3351622)CaDiCaL version: 2.1.3
% 111.66/16.55  % (3351622)Termination reason: Instruction limit
% 111.66/16.55  % (3351622)Termination phase: Property scanning
% 111.66/16.55  % (3351622)Time elapsed: 0.350 s
% 111.66/16.55  % (3351622)Peak memory usage: 33 MB
% 111.66/16.55  % (3351622)Instructions burned: 870 (million)
% 111.66/16.55  % (3351628)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2283198813:i=3512:aac=none_2962 on theBenchmark for (2962ds/3512Mi)
% 111.66/16.55  % Exception at run slice level
% 111.66/16.55  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.66/16.55  % (3351630)dis+21_1_sil=32000:sas=cadical:random_seed=4051744000:i=3773:amm=off_2956 on theBenchmark for (2956ds/3773Mi)
% 111.66/16.55  % (3351624)Instruction limit reached! 
% 111.66/16.55  % (3351624)------------------------------
% 111.66/16.55  % (3351624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.66/16.55  % (3351624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.66/16.55  % (3351624)CaDiCaL version: 2.1.3
% 111.66/16.55  % (3351624)Termination reason: Instruction limit
% 111.66/16.55  % (3351624)Termination phase: Property scanning
% 111.66/16.55  % (3351624)Time elapsed: 1.099 s
% 111.66/16.55  % (3351624)Peak memory usage: 46 MB
% 111.66/16.55  % (3351624)Instructions burned: 5119 (million)
% 111.66/16.55  % Exception at run slice level
% 111.66/16.55  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.66/16.55  % (3351632)ott+11_1_sil=16000:gs=on:random_seed=4031470983:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2953 on theBenchmark for (2953ds/2251Mi)
% 111.66/16.55  % (3351634)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1106914657:fmbsr=1.6:i=67534_2953 on theBenchmark for (2953ds/67534Mi)
% 151.49/22.16  % (3351632)Instruction limit reached! 
% 151.49/22.16  % (3351632)------------------------------
% 151.49/22.16  % (3351632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 151.49/22.16  % (3351632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.49/22.16  % (3351632)CaDiCaL version: 2.1.3
% 151.49/22.16  % (3351632)Termination reason: Instruction limit
% 151.49/22.16  % (3351632)Termination phase: Property scanning
% 151.49/22.16  % (3351632)Time elapsed: 0.513 s
% 151.49/22.16  % (3351632)Peak memory usage: 44 MB
% 151.49/22.16  % (3351632)Instructions burned: 2255 (million)
% 151.49/22.16  % (3351636)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=804446841:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2948 on theBenchmark for (2948ds/4591Mi)
% 151.49/22.16  % (3351628)Instruction limit reached! 
% 151.49/22.16  % (3351628)------------------------------
% 151.49/22.16  % (3351628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 151.49/22.16  % (3351628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.49/22.16  % (3351628)CaDiCaL version: 2.1.3
% 151.49/22.16  % (3351628)Termination reason: Instruction limit
% 151.49/22.16  % (3351628)Termination phase: Property scanning
% 151.49/22.16  % (3351628)Time elapsed: 1.426 s
% 151.49/22.16  % (3351628)Peak memory usage: 46 MB
% 151.49/22.16  % (3351628)Instructions burned: 3514 (million)
% 151.49/22.16  % (3351638)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2543009224:i=29340_2947 on theBenchmark for (2947ds/29340Mi)
% 151.49/22.16  % (3351630)Instruction limit reached! 
% 151.49/22.16  % (3351630)------------------------------
% 151.49/22.16  % (3351630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 151.49/22.16  % (3351630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.49/22.16  % (3351630)CaDiCaL version: 2.1.3
% 151.49/22.16  % (3351630)Termination reason: Instruction limit
% 151.49/22.16  % (3351630)Termination phase: Property scanning
% 151.49/22.16  % (3351630)Time elapsed: 1.522 s
% 151.49/22.16  % (3351630)Peak memory usage: 46 MB
% 151.49/22.16  % (3351630)Instructions burned: 3773 (million)
% 151.49/22.16  % (3351640)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1930733600:i=5211_2940 on theBenchmark for (2940ds/5211Mi)
% 151.49/22.16  % Exception at run slice level
% 151.49/22.16  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 151.49/22.16  % (3351642)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3214438163:i=5497:nm=2_2934 on theBenchmark for (2934ds/5497Mi)
% 151.49/22.16  % Exception at run slice level
% 151.49/22.16  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 151.49/22.16  % (3351644)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1348284750:fmbsr=2:i=46332_2933 on theBenchmark for (2933ds/46332Mi)
% 151.49/22.16  % (3351636)Instruction limit reached! 
% 151.49/22.16  % (3351636)------------------------------
% 151.49/22.16  % (3351636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 151.49/22.16  % (3351636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.49/22.16  % (3351636)CaDiCaL version: 2.1.3
% 151.49/22.16  % (3351636)Termination reason: Instruction limit
% 151.49/22.16  % (3351636)Termination phase: Property scanning
% 151.49/22.16  % (3351636)Time elapsed: 2.126 s
% 151.49/22.16  % (3351636)Peak memory usage: 47 MB
% 151.49/22.16  % (3351636)Instructions burned: 4591 (million)
% 151.49/22.16  % (3351646)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2287372960:i=14071_2926 on theBenchmark for (2926ds/14071Mi)
% 151.49/22.16  % (3351642)Instruction limit reached! 
% 151.49/22.16  % (3351642)------------------------------
% 151.49/22.16  % (3351642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 151.49/22.16  % (3351642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.49/22.16  % (3351642)CaDiCaL version: 2.1.3
% 151.49/22.16  % (3351642)Termination reason: Instruction limit
% 151.49/22.16  % (3351642)Termination phase: Property scanning
% 151.49/22.16  % (3351642)Time elapsed: 1.168 s
% 151.49/22.16  % (3351642)Peak memory usage: 48 MB
% 151.49/22.16  % (3351642)Instructions burned: 5497 (million)
% 151.49/22.16  % (3351648)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2571708732:i=22565:add=on:rawr=on_2923 on theBenchmark for (2923ds/22565Mi)
% 189.49/27.57  % (3351640)Instruction limit reached! 
% 189.49/27.57  % (3351640)------------------------------
% 189.49/27.57  % (3351640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.49/27.57  % (3351640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.49/27.57  % (3351640)CaDiCaL version: 2.1.3
% 189.49/27.57  % (3351640)Termination reason: Instruction limit
% 189.49/27.57  % (3351640)Termination phase: Property scanning
% 189.49/27.57  % (3351640)Time elapsed: 2.085 s
% 189.49/27.57  % (3351640)Peak memory usage: 46 MB
% 189.49/27.57  % (3351640)Instructions burned: 5213 (million)
% 189.49/27.57  % (3351650)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2964042036:i=8173:av=off_2919 on theBenchmark for (2919ds/8173Mi)
% 189.49/27.57  % Exception at run slice level
% 189.49/27.57  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 189.49/27.57  % (3351652)dis+10_16:1_sil=16000:random_seed=2857700762:i=9155:fsr=off_2903 on theBenchmark for (2903ds/9155Mi)
% 189.49/27.57  % Exception at run slice level
% 189.49/27.57  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 189.49/27.57  % (3351654)ott-3_8_sil=64000:random_seed=55685980:i=20139:bs=on_2894 on theBenchmark for (2894ds/20139Mi)
% 189.49/27.57  % (3351650)Instruction limit reached! 
% 189.49/27.57  % (3351650)------------------------------
% 189.49/27.57  % (3351650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.49/27.57  % (3351650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.49/27.57  % (3351650)CaDiCaL version: 2.1.3
% 189.49/27.57  % (3351650)Termination reason: Instruction limit
% 189.49/27.57  % (3351650)Termination phase: Saturation
% 189.49/27.57  % (3351650)Time elapsed: 3.504 s
% 189.49/27.57  % (3351650)Peak memory usage: 48 MB
% 189.49/27.57  % (3351650)Instructions burned: 8174 (million)
% 189.49/27.57  % (3351656)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=4239061690:fmbsr=2:i=32576_2884 on theBenchmark for (2884ds/32576Mi)
% 189.49/27.57  % (3351648)Instruction limit reached! 
% 189.49/27.57  % (3351648)------------------------------
% 189.49/27.57  % (3351648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.49/27.57  % (3351648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.49/27.57  % (3351648)CaDiCaL version: 2.1.3
% 189.49/27.57  % (3351648)Termination reason: Instruction limit
% 189.49/27.57  % (3351648)Termination phase: Saturation
% 189.49/27.57  % (3351648)Time elapsed: 5.137 s
% 189.49/27.57  % (3351648)Peak memory usage: 323 MB
% 189.49/27.57  % (3351648)Instructions burned: 22568 (million)
% 189.49/27.57  % (3351658)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=324395024:i=11404_2871 on theBenchmark for (2871ds/11404Mi)
% 189.49/27.57  % (3351652)Instruction limit reached! 
% 189.49/27.57  % (3351652)------------------------------
% 189.49/27.57  % (3351652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.49/27.57  % (3351652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.49/27.57  % (3351652)CaDiCaL version: 2.1.3
% 189.49/27.57  % (3351652)Termination reason: Instruction limit
% 189.49/27.57  % (3351652)Termination phase: Saturation
% 189.49/27.57  % (3351652)Time elapsed: 3.655 s
% 189.49/27.57  % (3351652)Peak memory usage: 51 MB
% 189.49/27.57  % (3351652)Instructions burned: 9155 (million)
% 189.49/27.57  % (3351660)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=3425718380:i=14134_2866 on theBenchmark for (2866ds/14134Mi)
% 189.49/27.57  % Exception at run slice level
% 189.49/27.57  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 189.49/27.57  % (3351662)dis+33_16_sil=32000:sac=on:random_seed=2404425028:i=15851:nm=0_2854 on theBenchmark for (2854ds/15851Mi)
% 189.49/27.57  % (3351658)Instruction limit reached! 
% 189.49/27.57  % (3351658)------------------------------
% 189.49/27.57  % (3351658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 189.49/27.57  % (3351658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.49/27.57  % (3351658)CaDiCaL version: 2.1.3
% 189.49/27.57  % (3351658)Termination reason: Instruction limit
% 189.49/27.57  % (3351658)Termination phase: Saturation
% 189.49/27.57  % (3351658)Time elapsed: 2.390 s
% 189.49/27.57  % (3351658)Peak memory usage: 56 MB
% 189.49/27.57  % (3351658)Instructions burned: 11410 (million)
% 189.49/27.57  % (3351664)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=1787568130:avsq=on:i=17627:add=on:amm=off_2847 on theBenchmark for (2847ds/17627Mi)
% 189.49/27.57  % (3351660)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 206.42/29.92  % (3351638)Instruction limit reached! 
% 206.42/29.92  % (3351638)------------------------------
% 206.42/29.92  % (3351638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 206.42/29.92  % (3351638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.42/29.92  % (3351638)CaDiCaL version: 2.1.3
% 206.42/29.92  % (3351638)Termination reason: Instruction limit
% 206.42/29.92  % (3351638)Termination phase: Saturation
% 206.42/29.92  % (3351638)Time elapsed: 13.224 s
% 206.42/29.92  % (3351638)Peak memory usage: 83 MB
% 206.42/29.92  % (3351638)Instructions burned: 29341 (million)
% 206.42/29.92  % (3351666)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=1700882225:s2a=on:i=53295_2815 on theBenchmark for (2815ds/53295Mi)
% 206.42/29.92  % (3351654)Instruction limit reached! 
% 206.42/29.92  % (3351654)------------------------------
% 206.42/29.92  % (3351654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 206.42/29.92  % (3351654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.42/29.92  % (3351654)CaDiCaL version: 2.1.3
% 206.42/29.92  % (3351654)Termination reason: Instruction limit
% 206.42/29.92  % (3351654)Termination phase: Saturation
% 206.42/29.92  % (3351654)Time elapsed: 8.314 s
% 206.42/29.92  % (3351654)Peak memory usage: 126 MB
% 206.42/29.92  % (3351654)Instructions burned: 20140 (million)
% 206.42/29.92  % (3351668)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=2594016741:i=26857:ins=20_2811 on theBenchmark for (2811ds/26857Mi)
% 206.42/29.92  % (3351660)Instruction limit reached! 
% 206.42/29.92  % (3351660)------------------------------
% 206.42/29.92  % (3351660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 206.42/29.92  % (3351660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.42/29.92  % (3351660)CaDiCaL version: 2.1.3
% 206.42/29.92  % (3351660)Termination reason: Instruction limit
% 206.42/29.92  % (3351660)Termination phase: Saturation
% 206.42/29.92  % (3351660)Time elapsed: 5.628 s
% 206.42/29.92  % (3351660)Peak memory usage: 62 MB
% 206.42/29.92  % (3351660)Instructions burned: 14136 (million)
% 206.42/29.92  % (3351670)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=262727615:i=28120:bs=on:fsr=off_2810 on theBenchmark for (2810ds/28120Mi)
% 206.42/29.92  % (3351664)Instruction limit reached! 
% 206.42/29.92  % (3351664)------------------------------
% 206.42/29.92  % (3351664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 206.42/29.92  % (3351664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.42/29.92  % (3351664)CaDiCaL version: 2.1.3
% 206.42/29.92  % (3351664)Termination reason: Instruction limit
% 206.42/29.92  % (3351664)Termination phase: Saturation
% 206.42/29.92  % (3351664)Time elapsed: 3.727 s
% 206.42/29.92  % (3351664)Peak memory usage: 82 MB
% 206.42/29.92  % (3351664)Instructions burned: 17628 (million)
% 206.42/29.92  % (3351672)fmb+10_1_sil=256000:fmbss=7:random_seed=1433150676:fmbsr=1.6:i=182295_2809 on theBenchmark for (2809ds/182295Mi)
% 206.42/29.92  % Exception at run slice level
% 206.42/29.92  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 206.42/29.92  % (3351676)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=334597400:i=44625:gsp=on_2794 on theBenchmark for (2794ds/44625Mi)
% 206.42/29.92  % (3351676)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 206.42/29.93  % (3351662)Instruction limit reached! 
% 206.42/29.93  % (3351662)------------------------------
% 206.42/29.93  % (3351662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 206.42/29.93  % (3351662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.42/29.93  % (3351662)CaDiCaL version: 2.1.3
% 206.42/29.93  % (3351662)Termination reason: Instruction limit
% 206.42/29.93  % (3351662)Termination phase: Property scanning
% 206.42/29.93  % (3351662)Time elapsed: 6.367 s
% 206.42/29.93  % (3351662)Peak memory usage: 310 MB
% 206.42/29.93  % (3351662)Instructions burned: 15851 (million)
% 206.42/29.93  % (3351678)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=1491488549:i=160505_2790 on theBenchmark for (2790ds/160505Mi)
% 206.42/29.93  % (3351676)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 206.42/29.93  % Exception at run slice level
% 206.42/29.93  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 206.42/29.93  % (3351680)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=4035015168:fmbsr=1.3:i=225729_2781 on theBenchmark for (2781ds/225729Mi)
% 245.98/35.60  % Exception at run slice level
% 245.98/35.60  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 245.98/35.60  % (3351682)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=3794611569:fmbsr=2:i=185024:ins=7_2778 on theBenchmark for (2778ds/185024Mi)
% 245.98/35.60  % Exception at run slice level
% 245.98/35.60  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 245.98/35.60  % (3351684)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=971997012:rtra=on_2762 on theBenchmark for (2762ds/0Mi)
% 245.98/35.60  % Exception at run slice level
% 245.98/35.60  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 245.98/35.60  % (3351686)% WARNING: option uhcvi not known.
% 245.98/35.60  % (3351686)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2243491398:i=271062:add=off:rtra=on:rawr=on_2760 on theBenchmark for (2760ds/271062Mi)
% 245.98/35.60  % (3351686)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 245.98/35.60  % Exception at run slice level
% 245.98/35.60  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 245.98/35.60  % (3351688)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1863664775:i=176048:add=on:rtra=on:rawr=on_2750 on theBenchmark for (2750ds/176048Mi)
% 245.98/35.60  % Exception at run slice level
% 245.98/35.60  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 245.98/35.60  % (3351690)dis+10_1_sil=32000:si=on:sp=arity:random_seed=3683522161:i=206:fgj=on:rtra=on_2730 on theBenchmark for (2730ds/206Mi)
% 245.98/35.60  % (3351690)Instruction limit reached! 
% 245.98/35.60  % (3351690)------------------------------
% 245.98/35.60  % (3351690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 245.98/35.60  % (3351690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 245.98/35.60  % (3351690)CaDiCaL version: 2.1.3
% 245.98/35.60  % (3351690)Termination reason: Instruction limit
% 245.98/35.60  % (3351690)Termination phase: shuffling
% 245.98/35.60  % (3351690)Time elapsed: 0.057 s
% 245.98/35.60  % (3351690)Peak memory usage: 28 MB
% 245.98/35.60  % (3351690)Instructions burned: 211 (million)
% 245.98/35.60  % (3351692)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=2891747619:i=232:rtra=on_2729 on theBenchmark for (2729ds/232Mi)
% 245.98/35.60  % (3351692)Instruction limit reached! 
% 245.98/35.60  % (3351692)------------------------------
% 245.98/35.60  % (3351692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 245.98/35.60  % (3351692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 245.98/35.60  % (3351692)CaDiCaL version: 2.1.3
% 245.98/35.60  % (3351692)Termination reason: Instruction limit
% 245.98/35.60  % (3351692)Termination phase: shuffling
% 245.98/35.60  % (3351692)Time elapsed: 0.107 s
% 245.98/35.60  % (3351692)Peak memory usage: 28 MB
% 245.98/35.60  % (3351692)Instructions burned: 233 (million)
% 245.98/35.60  % (3351694)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=494709271:i=262:rtra=on_2728 on theBenchmark for (2728ds/262Mi)
% 245.98/35.60  % (3351694)Instruction limit reached! 
% 245.98/35.60  % (3351694)------------------------------
% 245.98/35.60  % (3351694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 245.98/35.60  % (3351694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 245.98/35.60  % (3351694)CaDiCaL version: 2.1.3
% 245.98/35.60  % (3351694)Termination reason: Instruction limit
% 245.98/35.60  % (3351694)Termination phase: shuffling
% 245.98/35.60  % (3351694)Time elapsed: 0.069 s
% 245.98/35.60  % (3351694)Peak memory usage: 29 MB
% 245.98/35.60  % (3351694)Instructions burned: 266 (million)
% 245.98/35.60  % (3351696)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=4231653448:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2727 on theBenchmark for (2727ds/318Mi)
% 245.98/35.60  % (3351696)Instruction limit reached! 
% 245.98/35.60  % (3351696)------------------------------
% 245.98/35.60  % (3351696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 245.98/35.60  % (3351696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 245.98/35.60  % (3351696)CaDiCaL version: 2.1.3
% 245.98/35.60  % (3351696)Termination reason: Instruction limit
% 245.98/35.60  % (3351696)Termination phase: shuffling
% 245.98/35.60  % (3351696)Time elapsed: 0.081 s
% 245.98/35.60  % (3351696)Peak memory usage: 30 MB
% 169.53/37.75  % (3351696)Instructions burned: 321 (million)
% 169.53/37.75  % (3351698)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:si=on:random_seed=371717205:i=1428:nm=2:rtra=on_2726 on theBenchmark for (2726ds/1428Mi)
% 169.53/37.75  % (3351686)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 169.53/37.75  % (3351698)Instruction limit reached! 
% 169.53/37.75  % (3351698)------------------------------
% 169.53/37.75  % (3351698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351698)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351698)Termination reason: Instruction limit
% 169.53/37.75  % (3351698)Termination phase: Preprocessing 3
% 169.53/37.75  % (3351698)Time elapsed: 0.355 s
% 169.53/37.75  % (3351698)Peak memory usage: 44 MB
% 169.53/37.75  % (3351698)Instructions burned: 1431 (million)
% 169.53/37.75  % (3351700)ott+32_1_sil=16000:bsd=on:si=on:sp=const_max:bce=on:random_seed=594327015:i=262:bd=preordered:rtra=on:fsd=on_2722 on theBenchmark for (2722ds/262Mi)
% 169.53/37.75  % (3351700)Instruction limit reached! 
% 169.53/37.75  % (3351700)------------------------------
% 169.53/37.75  % (3351700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351700)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351700)Termination reason: Instruction limit
% 169.53/37.75  % (3351700)Termination phase: shuffling
% 169.53/37.75  % (3351700)Time elapsed: 0.069 s
% 169.53/37.75  % (3351700)Peak memory usage: 29 MB
% 169.53/37.75  % (3351700)Instructions burned: 266 (million)
% 169.53/37.75  % (3351702)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:si=on:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3895195110:i=1368:slsql=off:bs=unit_only:nicw=on:rtra=on:rawr=on_2722 on theBenchmark for (2722ds/1368Mi)
% 169.53/37.75  % (3351702)Instruction limit reached! 
% 169.53/37.75  % (3351702)------------------------------
% 169.53/37.75  % (3351702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351702)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351702)Termination reason: Instruction limit
% 169.53/37.75  % (3351702)Termination phase: Preprocessing 1
% 169.53/37.75  % (3351702)Time elapsed: 0.341 s
% 169.53/37.75  % (3351702)Peak memory usage: 36 MB
% 169.53/37.75  % (3351702)Instructions burned: 1370 (million)
% 169.53/37.75  % (3351704)ott-21_1_sil=16000:si=on:fs=off:random_seed=565769813:i=360:av=off:fsr=off:rtra=on_2718 on theBenchmark for (2718ds/360Mi)
% 169.53/37.75  % (3351704)Instruction limit reached! 
% 169.53/37.75  % (3351704)------------------------------
% 169.53/37.75  % (3351704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351704)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351704)Termination reason: Instruction limit
% 169.53/37.75  % (3351704)Termination phase: shuffling
% 169.53/37.75  % (3351704)Time elapsed: 0.120 s
% 169.53/37.75  % (3351704)Peak memory usage: 31 MB
% 169.53/37.75  % (3351704)Instructions burned: 360 (million)
% 169.53/37.75  % (3351706)dis+10_4_sil=64000:si=on:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=346736944:i=954:bd=all:rtra=on_2717 on theBenchmark for (2717ds/954Mi)
% 169.53/37.75  % (3351706)Instruction limit reached! 
% 169.53/37.75  % (3351706)------------------------------
% 169.53/37.75  % (3351706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351706)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351706)Termination reason: Instruction limit
% 169.53/37.75  % (3351706)Termination phase: Property scanning
% 169.53/37.75  % (3351706)Time elapsed: 0.454 s
% 169.53/37.75  % (3351706)Peak memory usage: 35 MB
% 169.53/37.75  % (3351706)Instructions burned: 954 (million)
% 169.53/37.75  % (3351708)fmb+10_1_sil=64000:si=on:erd=off:updr=off:random_seed=1269938821:fmbsr=1.3:i=1730:ins=25:rtra=on_2712 on theBenchmark for (2712ds/1730Mi)
% 169.53/37.75  % (3351708)Instruction limit reached! 
% 169.53/37.75  % (3351708)------------------------------
% 169.53/37.75  % (3351708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351708)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351708)Termination reason: Instruction limit
% 169.53/37.75  % (3351708)Termination phase: Property scanning
% 169.53/37.75  % (3351708)Time elapsed: 0.893 s
% 169.53/37.75  % (3351708)Peak memory usage: 50 MB
% 169.53/37.75  % (3351708)Instructions burned: 1730 (million)
% 169.53/37.75  % (3351710)ott+10_1_to=lpo:sil=64000:tgt=full:si=on:sp=arity:spb=goal_then_units:random_seed=2534371427:i=2358:rtra=on_2703 on theBenchmark for (2703ds/2358Mi)
% 169.53/37.75  % (3351670)Instruction limit reached! 
% 169.53/37.75  % (3351670)------------------------------
% 169.53/37.75  % (3351670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351670)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351670)Termination reason: Instruction limit
% 169.53/37.75  % (3351670)Termination phase: Saturation
% 169.53/37.75  % (3351670)Time elapsed: 11.781 s
% 169.53/37.75  % (3351670)Peak memory usage: 168 MB
% 169.53/37.75  % (3351670)Instructions burned: 28121 (million)
% 169.53/37.75  % (3351712)fmb+10_1_sil=64000:si=on:erd=off:fmbss=14:random_seed=2206394104:i=1778:ins=1:rtra=on_2692 on theBenchmark for (2692ds/1778Mi)
% 169.53/37.75  % (3351710)Instruction limit reached! 
% 169.53/37.75  % (3351710)------------------------------
% 169.53/37.75  % (3351710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351710)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351710)Termination reason: Instruction limit
% 169.53/37.75  % (3351710)Termination phase: Function definition elimination
% 169.53/37.75  % (3351710)Time elapsed: 1.233 s
% 169.53/37.75  % (3351710)Peak memory usage: 50 MB
% 169.53/37.75  % (3351710)Instructions burned: 2360 (million)
% 169.53/37.75  % (3351714)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:si=on:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3396954758:avsq=on:s2a=on:i=1384:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rtra=on:rawr=on_2690 on theBenchmark for (2690ds/1384Mi)
% 169.53/37.75  % (3351712)Instruction limit reached! 
% 169.53/37.75  % (3351712)------------------------------
% 169.53/37.75  % (3351712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351712)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351712)Termination reason: Instruction limit
% 169.53/37.75  % (3351712)Termination phase: Property scanning
% 169.53/37.75  % (3351712)Time elapsed: 0.823 s
% 169.53/37.75  % (3351712)Peak memory usage: 50 MB
% 169.53/37.75  % (3351712)Instructions burned: 1780 (million)
% 169.53/37.75  % (3351716)dis-10_1_anc=none:sil=64000:si=on:spb=goal:newcnf=on:cn=on:random_seed=2177073424:i=1758:kws=inv_precedence:fsr=off:rtra=on_2683 on theBenchmark for (2683ds/1758Mi)
% 169.53/37.75  % (3351714)Instruction limit reached! 
% 169.53/37.75  % (3351714)------------------------------
% 169.53/37.75  % (3351714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351714)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351714)Termination reason: Instruction limit
% 169.53/37.75  % (3351714)Termination phase: Preprocessing 1
% 169.53/37.75  % (3351714)Time elapsed: 0.682 s
% 169.53/37.75  % (3351714)Peak memory usage: 36 MB
% 169.53/37.75  % (3351714)Instructions burned: 1384 (million)
% 169.53/37.75  % (3351718)fmb+10_1_sil=64000:si=on:random_seed=1889736778:i=44122:nm=2:rtra=on:gsp=on_2683 on theBenchmark for (2683ds/44122Mi)
% 169.53/37.75  % (3351716)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 169.53/37.75  % (3351716)Instruction limit reached! 
% 169.53/37.75  % (3351716)------------------------------
% 169.53/37.75  % (3351716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351716)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351716)Termination reason: Instruction limit
% 169.53/37.75  % (3351716)Termination phase: Property scanning
% 169.53/37.75  % (3351716)Time elapsed: 0.811 s
% 169.53/37.75  % (3351716)Peak memory usage: 50 MB
% 169.53/37.75  % (3351716)Instructions burned: 1759 (million)
% 169.53/37.75  % (3351720)fmb+10_1_sil=16000:sas=cadical:si=on:fmbss=20:random_seed=896746498:i=19030:nm=5:rtra=on_2675 on theBenchmark for (2675ds/19030Mi)
% 169.53/37.75  % (3351718)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 169.53/37.75  % Exception at run slice level
% 169.53/37.75  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 169.53/37.75  % (3351722)fmb+10_1_sil=64000:sas=cadical:si=on:fmbss=8:random_seed=3836848312:fmbsr=1.7:i=1840:rtra=on_2646 on theBenchmark for (2646ds/1840Mi)
% 169.53/37.75  % Exception at run slice level
% 169.53/37.75  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 169.53/37.75  % (3351724)dis-4_1_sil=16000:drc=ordering:si=on:sp=const_frequency:sac=on:newcnf=on:random_seed=794916975:i=10262:rtra=on_2642 on theBenchmark for (2642ds/10262Mi)
% 169.53/37.75  % (3351666)Instruction limit reached! 
% 169.53/37.75  % (3351666)------------------------------
% 169.53/37.75  % (3351666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351666)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351666)Termination reason: Instruction limit
% 169.53/37.75  % (3351666)Termination phase: Saturation
% 169.53/37.75  % (3351666)Time elapsed: 17.359 s
% 169.53/37.75  % (3351666)Peak memory usage: 183 MB
% 169.53/37.75  % (3351666)Instructions burned: 53300 (million)
% 169.53/37.75  % (3351726)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:si=on:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3448925674:i=2944:ins=7:rtra=on:fdi=8:gsp=on_2641 on theBenchmark for (2641ds/2944Mi)
% 169.53/37.75  % (3351722)Instruction limit reached! 
% 169.53/37.75  % (3351722)------------------------------
% 169.53/37.75  % (3351722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351722)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351722)Termination reason: Instruction limit
% 169.53/37.75  % (3351722)Termination phase: Property scanning
% 169.53/37.75  % (3351722)Time elapsed: 0.963 s
% 169.53/37.75  % (3351722)Peak memory usage: 50 MB
% 169.53/37.75  % (3351722)Instructions burned: 1840 (million)
% 169.53/37.75  % (3351728)fmb+10_1_sil=16000:sas=cadical:si=on:bce=on:fmbss=77:random_seed=2957551425:i=12648:rtra=on_2636 on theBenchmark for (2636ds/12648Mi)
% 169.53/37.75  % (3351724)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 169.53/37.75  % (3351726)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 169.53/37.75  % (3351726)Instruction limit reached! 
% 169.53/37.75  % (3351726)------------------------------
% 169.53/37.75  % (3351726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.75  % (3351726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.75  % (3351726)CaDiCaL version: 2.1.3
% 169.53/37.75  % (3351726)Termination reason: Instruction limit
% 169.53/37.75  % (3351726)Termination phase: Property scanning
% 169.53/37.75  % (3351726)Time elapsed: 0.750 s
% 169.53/37.75  % (3351726)Peak memory usage: 51 MB
% 169.53/37.75  % (3351726)Instructions burned: 2947 (million)
% 169.53/37.75  % (3351730)fmb+10_1_fmbas=function:sil=32000:sas=cadical:si=on:fmbss=16:random_seed=2103213881:fmbsr=2.30978:i=4348:rtra=on_2633 on theBenchmark for (2633ds/4348Mi)
% 169.53/37.75  % (3351688) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3351569-3351688"...
% 169.53/37.75  % (3351688)...printing done.
% 169.53/37.75  % (3351688)Refutation found. Thanks to Tanya!
% 169.53/37.75  % SZS status Theorem for theBenchmark
% 169.53/37.75  % SZS output start Proof for theBenchmark
% See solution above
% 169.53/37.78  % (3351688)------------------------------
% 169.53/37.78  % (3351688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 169.53/37.78  % (3351688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 169.53/37.78  % (3351688)CaDiCaL version: 2.1.3
% 169.53/37.78  % (3351688)Termination reason: Refutation
% 169.53/37.78  % (3351688)Time elapsed: 12.443 s
% 169.53/37.78  % (3351688)Peak memory usage: 449 MB
% 169.53/37.78  % (3351688)Instructions burned: 27661 (million)
% 169.53/37.78  % (3351569)Success in time 37.516 s
% 169.53/37.78  % Vampire exiting
%------------------------------------------------------------------------------