%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP207^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:50 AM UTC 2026
% Result : Theorem 11.38s 5.57s
% Output : Refutation 11.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 20 unt; 0 typ; 3 def)
% Number of atoms : 130 ( 42 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 231 ( 35 ~; 24 |; 0 &; 163 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 126 ( 125 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1340 (1337 usr; 67 con; 0-11 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1319942482725812455at_nat: $tType ).
thf(type_def_6,type,
set_Pr4244404650639074861atural: $tType ).
thf(type_def_7,type,
set_Pr1281608226676607948nteger: $tType ).
thf(type_def_8,type,
produc8392782284284844111e_term: $tType ).
thf(type_def_9,type,
produc998928222018024388e_term: $tType ).
thf(type_def_10,type,
produc989692990947075319atural: $tType ).
thf(type_def_11,type,
produc1908205239877642774nteger: $tType ).
thf(type_def_12,type,
set_Pr9222295170931077689nt_int: $tType ).
thf(type_def_13,type,
produc1821397396195235155e_term: $tType ).
thf(type_def_14,type,
produc2285326912895808259nt_int: $tType ).
thf(type_def_15,type,
produc2990138482962207008rm_nat: $tType ).
thf(type_def_16,type,
produc8035659500307786108rm_int: $tType ).
thf(type_def_17,type,
produc2126621968916342571rm_nat: $tType ).
thf(type_def_18,type,
produc7172142986261921671rm_int: $tType ).
thf(type_def_19,type,
set_Pr8056137968301705908nteger: $tType ).
thf(type_def_20,type,
produc531535059062615580rm_nat: $tType ).
thf(type_def_21,type,
produc5577056076408194680rm_int: $tType ).
thf(type_def_22,type,
produc1017113440723519068e_term: $tType ).
thf(type_def_23,type,
produc8731074985263844745atural: $tType ).
thf(type_def_24,type,
produc8763457246119570046nteger: $tType ).
thf(type_def_25,type,
set_Pr1872883991513573699nt_int: $tType ).
thf(type_def_26,type,
produc3911288613690379145it_nat: $tType ).
thf(type_def_27,type,
produc3832618445565238089e_term: $tType ).
thf(type_def_28,type,
produc7773217078559923341nt_int: $tType ).
thf(type_def_29,type,
produc4453839368661128058it_nat: $tType ).
thf(type_def_30,type,
set_Pr4329608150637261639at_nat: $tType ).
thf(type_def_31,type,
produc4471711990508489141at_nat: $tType ).
thf(type_def_32,type,
produc7296731851001612483rm_nat: $tType ).
thf(type_def_33,type,
produc3118880831492415775rm_int: $tType ).
thf(type_def_34,type,
option8956607266484857688it_nat: $tType ).
thf(type_def_35,type,
produc3843707927480180839at_nat: $tType ).
thf(type_def_36,type,
set_Pr457366540195662369at_nat: $tType ).
thf(type_def_37,type,
produc979532391916189970rm_nat: $tType ).
thf(type_def_38,type,
produc6025053409261769070rm_int: $tType ).
thf(type_def_39,type,
produc4675096598859438275atural: $tType ).
thf(type_def_40,type,
option3562590408128118217it_nat: $tType ).
thf(type_def_41,type,
set_Pr8693737435421807431at_nat: $tType ).
thf(type_def_42,type,
produc8664842809031399944it_nat: $tType ).
thf(type_def_43,type,
produc732395585841259969at_nat: $tType ).
thf(type_def_44,type,
set_Pr1932065953672099015od_o_o: $tType ).
thf(type_def_45,type,
produc3346328345660746739nteger: $tType ).
thf(type_def_46,type,
produc859450856879609959at_nat: $tType ).
thf(type_def_47,type,
produc2934264451710624999od_o_o: $tType ).
thf(type_def_48,type,
produc3260487557148687353it_nat: $tType ).
thf(type_def_49,type,
produc7993323856043421654atural: $tType ).
thf(type_def_50,type,
produc5240993858131070144nteger: $tType ).
thf(type_def_51,type,
produc8915214464240719482atural: $tType ).
thf(type_def_52,type,
produc6162884466328367972nteger: $tType ).
thf(type_def_53,type,
produc4972180933644002618e_term: $tType ).
thf(type_def_54,type,
produc6241069584506657477e_term: $tType ).
thf(type_def_55,type,
produc8551481072490612790e_term: $tType ).
thf(type_def_56,type,
set_Pr5488025237498180813et_nat: $tType ).
thf(type_def_57,type,
set_Pr2522554150109002629et_int: $tType ).
thf(type_def_58,type,
option6357759511663192854e_term: $tType ).
thf(type_def_59,type,
produc6653097349344004940it_nat: $tType ).
thf(type_def_60,type,
produc7248412053542808358at_nat: $tType ).
thf(type_def_61,type,
produc6945250483304103390nt_int: $tType ).
thf(type_def_62,type,
produc759720530913461378nt_int: $tType ).
thf(type_def_63,type,
set_li5450038453877631591at_nat: $tType ).
thf(type_def_64,type,
list_s1210847774152347623at_nat: $tType ).
thf(type_def_65,type,
list_s8839374986383574687nt_int: $tType ).
thf(type_def_66,type,
set_se7855581050983116737at_nat: $tType ).
thf(type_def_67,type,
set_se6260736226359567993nt_int: $tType ).
thf(type_def_68,type,
produc7819656566062154093et_nat: $tType ).
thf(type_def_69,type,
produc2115011035271226405et_int: $tType ).
thf(type_def_70,type,
produc7822875418678951345atural: $tType ).
thf(type_def_71,type,
produc8923325533196201883nteger: $tType ).
thf(type_def_72,type,
filter1242075044329608583at_nat: $tType ).
thf(type_def_73,type,
list_P6011104703257516679at_nat: $tType ).
thf(type_def_74,type,
set_Pr1261947904930325089at_nat: $tType ).
thf(type_def_75,type,
set_Pr958786334691620121nt_int: $tType ).
thf(type_def_76,type,
set_list_list_nat: $tType ).
thf(type_def_77,type,
set_set_list_nat: $tType ).
thf(type_def_78,type,
set_list_set_nat: $tType ).
thf(type_def_79,type,
produc6271795597528267376eger_o: $tType ).
thf(type_def_80,type,
set_set_set_nat: $tType ).
thf(type_def_81,type,
heap_T5738788834812785303t_unit: $tType ).
thf(type_def_82,type,
set_li873732205721079667t_unit: $tType ).
thf(type_def_83,type,
set_set_Product_unit: $tType ).
thf(type_def_84,type,
heap_e7401611519738050253t_unit: $tType ).
thf(type_def_85,type,
product_prod_num_num: $tType ).
thf(type_def_86,type,
product_prod_nat_num: $tType ).
thf(type_def_87,type,
product_prod_nat_nat: $tType ).
thf(type_def_88,type,
product_prod_int_int: $tType ).
thf(type_def_89,type,
set_Product_prod_o_o: $tType ).
thf(type_def_90,type,
sum_sum_nat_nat: $tType ).
thf(type_def_91,type,
set_list_char: $tType ).
thf(type_def_92,type,
filter_set_nat: $tType ).
thf(type_def_93,type,
pred_Product_unit: $tType ).
thf(type_def_94,type,
list_list_nat: $tType ).
thf(type_def_95,type,
set_list_nat: $tType ).
thf(type_def_96,type,
set_list_int: $tType ).
thf(type_def_97,type,
list_set_nat: $tType ).
thf(type_def_98,type,
list_Code_integer: $tType ).
thf(type_def_99,type,
set_set_nat: $tType ).
thf(type_def_100,type,
set_set_int: $tType ).
thf(type_def_101,type,
set_Code_natural: $tType ).
thf(type_def_102,type,
set_Code_integer: $tType ).
thf(type_def_103,type,
list_Product_unit: $tType ).
thf(type_def_104,type,
set_Product_unit: $tType ).
thf(type_def_105,type,
heap_Time_Heap_a: $tType ).
thf(type_def_106,type,
list_typerep: $tType ).
thf(type_def_107,type,
set_literal: $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_num: $tType ).
thf(type_def_116,type,
set_nat: $tType ).
thf(type_def_117,type,
set_int: $tType ).
thf(type_def_118,type,
code_natural: $tType ).
thf(type_def_119,type,
code_integer: $tType ).
thf(type_def_120,type,
product_unit: $tType ).
thf(type_def_121,type,
typerep: $tType ).
thf(type_def_122,type,
literal: $tType ).
thf(type_def_123,type,
set_o: $tType ).
thf(type_def_124,type,
char: $tType ).
thf(type_def_125,type,
rat: $tType ).
thf(type_def_126,type,
num: $tType ).
thf(type_def_127,type,
nat: $tType ).
thf(type_def_128,type,
int: $tType ).
thf(type_def_129,type,
a: $tType ).
thf(type_def_130,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,
bNF_Cardinal_ctwo: set_Product_prod_o_o ).
thf(func_def_5,type,
bNF_Cardinal_czero_o: set_Product_prod_o_o ).
thf(func_def_6,type,
bNF_Ca3793111618940312692of_nat: set_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_7,type,
bNF_Ca8331644756375544342r_on_o: set_o > set_Product_prod_o_o > $o ).
thf(func_def_8,type,
bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).
thf(func_def_9,type,
bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).
thf(func_def_10,type,
bNF_eq_onp_list_char: ( list_char > $o ) > list_char > list_char > $o ).
thf(func_def_11,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_12,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_13,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_14,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_15,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_16,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_17,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_18,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_19,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_20,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_21,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_22,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_23,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_24,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_25,type,
bNF_re398004352372739002nteger: ( int > code_integer > $o ) > ( ( int > int ) > ( code_integer > code_integer ) > $o ) > ( int > int > int ) > ( code_integer > code_integer > code_integer ) > $o ).
thf(func_def_26,type,
bNF_re3379532845092657523nteger: ( int > code_integer > $o ) > ( int > code_integer > $o ) > ( int > int ) > ( code_integer > code_integer ) > $o ).
thf(func_def_27,type,
bNF_re3804157879324367682nt_int: ( int > code_integer > $o ) > ( int > int > $o ) > ( int > int ) > ( code_integer > int ) > $o ).
thf(func_def_28,type,
bNF_re6718328864250387230um_num: ( int > code_integer > $o ) > ( num > num > $o ) > ( int > num ) > ( code_integer > num ) > $o ).
thf(func_def_29,type,
bNF_re711492959462206631nt_int: ( int > int > $o ) > ( ( int > int ) > ( int > int ) > $o ) > ( int > int > int ) > ( int > int > int ) > $o ).
thf(func_def_30,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_31,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_32,type,
bNF_re982302072995117890nteger: ( int > int > $o ) > ( int > code_integer > $o ) > ( int > int ) > ( int > code_integer ) > $o ).
thf(func_def_33,type,
bNF_re4712519889275205905nt_int: ( int > int > $o ) > ( int > int > $o ) > ( int > int ) > ( int > int ) > $o ).
thf(func_def_34,type,
bNF_re7626690874201225453um_num: ( int > int > $o ) > ( num > num > $o ) > ( int > num ) > ( int > num ) > $o ).
thf(func_def_35,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_36,type,
bNF_re2214769303045360666nt_rat: ( int > int > $o ) > ( product_prod_int_int > rat > $o ) > ( int > product_prod_int_int ) > ( int > rat ) > $o ).
thf(func_def_37,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_38,type,
bNF_re3035051291559180600iteral: ( list_Code_integer > list_Code_integer > $o ) > ( list_char > literal > $o ) > ( list_Code_integer > list_char ) > ( list_Code_integer > literal ) > $o ).
thf(func_def_39,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_40,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_41,type,
bNF_re6668474094832959905ar_o_o: ( list_char > list_char > $o ) > ( $o > $o > $o ) > ( list_char > $o ) > ( list_char > $o ) > $o ).
thf(func_def_42,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_43,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_44,type,
bNF_re76688982720252355at_nat: ( list_char > list_char > $o ) > ( nat > nat > $o ) > ( list_char > nat ) > ( list_char > nat ) > $o ).
thf(func_def_45,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_46,type,
bNF_re8730477052009823892al_o_o: ( list_char > literal > $o ) > ( $o > $o > $o ) > ( list_char > $o ) > ( literal > $o ) > $o ).
thf(func_def_47,type,
bNF_re4991257583289732696t_char: ( list_char > literal > $o ) > ( list_char > list_char > $o ) > ( list_char > list_char ) > ( literal > list_char ) > $o ).
thf(func_def_48,type,
bNF_re5453467372598631581iteral: ( list_char > literal > $o ) > ( list_char > literal > $o ) > ( list_char > list_char ) > ( literal > literal ) > $o ).
thf(func_def_49,type,
bNF_re1345281282404953727at_nat: ( nat > nat > $o ) > ( ( nat > nat ) > ( nat > nat ) > $o ) > ( nat > nat > nat ) > ( nat > nat > nat ) > $o ).
thf(func_def_50,type,
bNF_re5653821019739307937at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > ( nat > nat ) > ( nat > nat ) > $o ).
thf(func_def_51,type,
bNF_re6830278522597306478at_int: ( nat > nat > $o ) > ( product_prod_nat_nat > int > $o ) > ( nat > product_prod_nat_nat ) > ( nat > int ) > $o ).
thf(func_def_52,type,
bNF_re7876454716742015248nteger: ( num > num > $o ) > ( ( num > int ) > ( num > code_integer ) > $o ) > ( num > num > int ) > ( num > num > code_integer ) > $o ).
thf(func_def_53,type,
bNF_re8402795839162346335um_int: ( num > num > $o ) > ( ( num > int ) > ( num > int ) > $o ) > ( num > num > int ) > ( num > num > int ) > $o ).
thf(func_def_54,type,
bNF_re6501075790457514782nteger: ( num > num > $o ) > ( int > code_integer > $o ) > ( num > int ) > ( num > code_integer ) > $o ).
thf(func_def_55,type,
bNF_re1822329894187522285nt_int: ( num > num > $o ) > ( int > int > $o ) > ( num > int ) > ( num > int ) > $o ).
thf(func_def_56,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_57,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_58,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_59,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_60,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_61,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_62,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_63,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_64,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_65,type,
bNF_re4555766996558763186at_nat: ( product_prod_nat_nat > int > $o ) > ( nat > nat > $o ) > ( product_prod_nat_nat > nat ) > ( int > nat ) > $o ).
thf(func_def_66,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_67,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_68,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_69,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_70,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_71,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_72,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_73,type,
bNF_We2654380646378065620so_o_o: set_Pr1932065953672099015od_o_o ).
thf(func_def_74,type,
bNF_We5258908940166488438at_nat: set_Pr4329608150637261639at_nat ).
thf(func_def_75,type,
bNF_We8182288985678559134_o_nat: set_Pr457366540195662369at_nat ).
thf(func_def_76,type,
bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).
thf(func_def_77,type,
basic_1872990034501187214nt_int: ( int > nat ) > ( int > nat ) > product_prod_int_int > nat ).
thf(func_def_78,type,
basic_876126793109182934at_nat: ( nat > nat ) > ( nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_79,type,
basic_1567116559311922317nt_int: ( int > $o ) > ( int > $o ) > product_prod_int_int > $o ).
thf(func_def_80,type,
basic_570253317919918037at_nat: ( nat > $o ) > ( nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_81,type,
basic_4387203522000727145nt_int: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_82,type,
basic_5328504652464829177at_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_83,type,
binomial: nat > nat > nat ).
thf(func_def_84,type,
gbinom8545251970709558553nteger: code_integer > nat > code_integer ).
thf(func_def_85,type,
gbinom7368847122466276068atural: code_natural > nat > code_natural ).
thf(func_def_86,type,
gbinomial_int: int > nat > int ).
thf(func_def_87,type,
gbinomial_nat: nat > nat > nat ).
thf(func_def_88,type,
gbinomial_rat: rat > nat > rat ).
thf(func_def_89,type,
bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_90,type,
bit_and_not_num: num > num > option_num ).
thf(func_def_91,type,
bit_ri7919022796975470100ot_int: int > int ).
thf(func_def_92,type,
bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).
thf(func_def_93,type,
bit_ri631733984087533419it_int: nat > int > int ).
thf(func_def_94,type,
bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).
thf(func_def_95,type,
bit_se2773287842338716102atural: code_natural > code_natural > code_natural ).
thf(func_def_96,type,
bit_se725231765392027082nd_int: int > int > int ).
thf(func_def_97,type,
bit_se727722235901077358nd_nat: nat > nat > nat ).
thf(func_def_98,type,
bit_se3928097537394005634nteger: nat > code_integer > code_integer ).
thf(func_def_99,type,
bit_se2751692689150723149atural: nat > code_natural > code_natural ).
thf(func_def_100,type,
bit_se8568078237143864401it_int: nat > int > int ).
thf(func_def_101,type,
bit_se8570568707652914677it_nat: nat > nat > nat ).
thf(func_def_102,type,
bit_se1345352211410354436nteger: nat > code_integer > code_integer ).
thf(func_def_103,type,
bit_se168947363167071951atural: nat > code_natural > code_natural ).
thf(func_def_104,type,
bit_se2159334234014336723it_int: nat > int > int ).
thf(func_def_105,type,
bit_se2161824704523386999it_nat: nat > nat > nat ).
thf(func_def_106,type,
bit_se2119862282449309892nteger: nat > code_integer ).
thf(func_def_107,type,
bit_se943457434206027407atural: nat > code_natural ).
thf(func_def_108,type,
bit_se2000444600071755411sk_int: nat > int ).
thf(func_def_109,type,
bit_se2002935070580805687sk_nat: nat > nat ).
thf(func_def_110,type,
bit_se1080825931792720795nteger: code_integer > code_integer > code_integer ).
thf(func_def_111,type,
bit_se9127793120404214118atural: code_natural > code_natural > code_natural ).
thf(func_def_112,type,
bit_se1409905431419307370or_int: int > int > int ).
thf(func_def_113,type,
bit_se1412395901928357646or_nat: nat > nat > nat ).
thf(func_def_114,type,
bit_se7788150548672797655nteger: nat > code_integer > code_integer ).
thf(func_def_115,type,
bit_se6611745700429515170atural: nat > code_natural > code_natural ).
thf(func_def_116,type,
bit_se545348938243370406it_int: nat > int > int ).
thf(func_def_117,type,
bit_se547839408752420682it_nat: nat > nat > nat ).
thf(func_def_118,type,
bit_se2793503036327961859nteger: nat > code_integer > code_integer ).
thf(func_def_119,type,
bit_se1617098188084679374atural: nat > code_natural > code_natural ).
thf(func_def_120,type,
bit_se7879613467334960850it_int: nat > int > int ).
thf(func_def_121,type,
bit_se7882103937844011126it_nat: nat > nat > nat ).
thf(func_def_122,type,
bit_se1745604003318907178nteger: nat > code_integer > code_integer ).
thf(func_def_123,type,
bit_se569199155075624693atural: nat > code_natural > code_natural ).
thf(func_def_124,type,
bit_se2923211474154528505it_int: nat > int > int ).
thf(func_def_125,type,
bit_se2925701944663578781it_nat: nat > nat > nat ).
thf(func_def_126,type,
bit_se8260200283734997820nteger: nat > code_integer > code_integer ).
thf(func_def_127,type,
bit_se7083795435491715335atural: nat > code_natural > code_natural ).
thf(func_def_128,type,
bit_se4203085406695923979it_int: nat > int > int ).
thf(func_def_129,type,
bit_se4205575877204974255it_nat: nat > nat > nat ).
thf(func_def_130,type,
bit_se3222712562003087583nteger: code_integer > code_integer > code_integer ).
thf(func_def_131,type,
bit_se2046307713759805098atural: code_natural > code_natural > code_natural ).
thf(func_def_132,type,
bit_se6526347334894502574or_int: int > int > int ).
thf(func_def_133,type,
bit_se6528837805403552850or_nat: nat > nat > nat ).
thf(func_def_134,type,
bit_se9216721137139052372nteger: code_integer > nat > $o ).
thf(func_def_135,type,
bit_se8040316288895769887atural: code_natural > nat > $o ).
thf(func_def_136,type,
bit_se1146084159140164899it_int: int > nat > $o ).
thf(func_def_137,type,
bit_se1148574629649215175it_nat: nat > nat > $o ).
thf(func_def_138,type,
bit_take_bit_num: nat > num > option_num ).
thf(func_def_139,type,
bit_un7362597486090784418nd_num: num > num > option_num ).
thf(func_def_140,type,
bit_un2480387367778600638or_num: num > num > option_num ).
thf(func_def_141,type,
code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).
thf(func_def_142,type,
code_cr_integer: int > code_integer > $o ).
thf(func_def_143,type,
code_cr_natural: nat > code_natural > $o ).
thf(func_def_144,type,
code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_145,type,
code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_146,type,
code_dup: code_integer > code_integer ).
thf(func_def_147,type,
code_int_of_integer: code_integer > int ).
thf(func_def_148,type,
code_integer_of_int: int > code_integer ).
thf(func_def_149,type,
code_integer_of_nat: nat > code_integer ).
thf(func_def_150,type,
code_integer_of_num: num > code_integer ).
thf(func_def_151,type,
code_nat_of_integer: code_integer > nat ).
thf(func_def_152,type,
code_nat_of_natural: code_natural > nat ).
thf(func_def_153,type,
code_natural_of_nat: nat > code_natural ).
thf(func_def_154,type,
code_negative: num > code_integer ).
thf(func_def_155,type,
code_num_of_integer: code_integer > num ).
thf(func_def_156,type,
code_pcr_integer: int > code_integer > $o ).
thf(func_def_157,type,
code_sub: num > num > code_integer ).
thf(func_def_158,type,
complete_Inf_Inf_nat: set_nat > nat ).
thf(func_def_159,type,
comple2584293577114468500t_unit: set_Product_unit > product_unit ).
thf(func_def_160,type,
comple7806235888213564991et_nat: set_set_nat > set_nat ).
thf(func_def_161,type,
complete_Sup_Sup_int: set_int > int ).
thf(func_def_162,type,
complete_Sup_Sup_nat: set_nat > nat ).
thf(func_def_163,type,
comple4687483117567863418t_unit: set_Product_unit > product_unit ).
thf(func_def_164,type,
comple7399068483239264473et_nat: set_set_nat > set_nat ).
thf(func_def_165,type,
nat_to_rat_surj: nat > rat ).
thf(func_def_166,type,
adjust_div: product_prod_int_int > int ).
thf(func_def_167,type,
divmod_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_168,type,
eucl_rel_int: int > int > product_prod_int_int > $o ).
thf(func_def_169,type,
unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).
thf(func_def_170,type,
unique6319869463603278526ux_int: product_prod_int_int > $o ).
thf(func_def_171,type,
unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).
thf(func_def_172,type,
unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).
thf(func_def_173,type,
unique5052692396658037445od_int: num > num > product_prod_int_int ).
thf(func_def_174,type,
unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).
thf(func_def_175,type,
unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_176,type,
unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).
thf(func_def_177,type,
unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_178,type,
equiv_749116872481872345at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).
thf(func_def_179,type,
euclid4774559944035922753ze_int: int > nat ).
thf(func_def_180,type,
euclid3398187327856392827nt_nat: nat > nat ).
thf(func_def_181,type,
comm_s8582702949713902594nteger: code_integer > nat > code_integer ).
thf(func_def_182,type,
comm_s7406298101470620109atural: code_natural > nat > code_natural ).
thf(func_def_183,type,
comm_s4660882817536571857er_int: int > nat > int ).
thf(func_def_184,type,
comm_s4663373288045622133er_nat: nat > nat > nat ).
thf(func_def_185,type,
comm_s4028243227959126397er_rat: rat > nat > rat ).
thf(func_def_186,type,
semiri3624122377584611663nteger: nat > code_integer ).
thf(func_def_187,type,
semiri2447717529341329178atural: nat > code_natural ).
thf(func_def_188,type,
semiri1406184849735516958ct_int: nat > int ).
thf(func_def_189,type,
semiri1408675320244567234ct_nat: nat > nat ).
thf(func_def_190,type,
semiri773545260158071498ct_rat: nat > rat ).
thf(func_def_191,type,
inverse_inverse_rat: rat > rat ).
thf(func_def_192,type,
at_top_nat: filter_nat ).
thf(func_def_193,type,
eventually_nat: ( nat > $o ) > filter_nat > $o ).
thf(func_def_194,type,
eventu1038000079068216329at_nat: ( product_prod_nat_nat > $o ) > filter1242075044329608583at_nat > $o ).
thf(func_def_195,type,
filter3212408913953519116et_nat: ( nat > set_nat ) > filter_set_nat > filter_nat > $o ).
thf(func_def_196,type,
finite3254316476582989077op_nat: set_nat > filter_set_nat ).
thf(func_def_197,type,
prod_filter_nat_nat: filter_nat > filter_nat > filter1242075044329608583at_nat ).
thf(func_def_198,type,
finite_card_int: set_int > nat ).
thf(func_def_199,type,
finite_card_list_int: set_list_int > nat ).
thf(func_def_200,type,
finite7325466520557071688st_nat: set_list_list_nat > nat ).
thf(func_def_201,type,
finite_card_list_nat: set_list_nat > nat ).
thf(func_def_202,type,
finite249151656366948015at_nat: set_li5450038453877631591at_nat > nat ).
thf(func_def_203,type,
finite3744894192721311803t_unit: set_li873732205721079667t_unit > nat ).
thf(func_def_204,type,
finite5631907774883551598et_nat: set_list_set_nat > nat ).
thf(func_def_205,type,
finite1726956870759998265t_char: set_list_char > nat ).
thf(func_def_206,type,
finite_card_nat: set_nat > nat ).
thf(func_def_207,type,
finite6756421564338198497nt_int: set_Pr958786334691620121nt_int > nat ).
thf(func_def_208,type,
finite711546835091564841at_nat: set_Pr1261947904930325089at_nat > nat ).
thf(func_def_209,type,
finite3771342082235030671at_nat: set_Pr4329608150637261639at_nat > nat ).
thf(func_def_210,type,
finite410649719033368117t_unit: set_Product_unit > nat ).
thf(func_def_211,type,
finite_card_set_int: set_set_int > nat ).
thf(func_def_212,type,
finite2364142230527598318st_nat: set_set_list_nat > nat ).
thf(func_def_213,type,
finite_card_set_nat: set_set_nat > nat ).
thf(func_def_214,type,
finite4053189226111446337nt_int: set_se6260736226359567993nt_int > nat ).
thf(func_def_215,type,
finite4356350796350151305at_nat: set_se7855581050983116737at_nat > nat ).
thf(func_def_216,type,
finite22775419188893461t_unit: set_set_Product_unit > nat ).
thf(func_def_217,type,
finite1149291290879098388et_nat: set_set_set_nat > nat ).
thf(func_def_218,type,
finite_card_char: set_char > nat ).
thf(func_def_219,type,
finite_finite_int: set_int > $o ).
thf(func_def_220,type,
finite3922522038869484883st_int: set_list_int > $o ).
thf(func_def_221,type,
finite8100373058378681591st_nat: set_list_nat > $o ).
thf(func_def_222,type,
finite500796754983035824at_nat: set_li5450038453877631591at_nat > $o ).
thf(func_def_223,type,
finite3619747586194699384t_char: set_list_char > $o ).
thf(func_def_224,type,
finite_finite_nat: set_nat > $o ).
thf(func_def_225,type,
finite2998713641127702882nt_int: set_Pr958786334691620121nt_int > $o ).
thf(func_def_226,type,
finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).
thf(func_def_227,type,
finite4290736615968046902t_unit: set_Product_unit > $o ).
thf(func_def_228,type,
finite_finite_rat: set_rat > $o ).
thf(func_def_229,type,
finite6197958912794628473et_int: set_set_int > $o ).
thf(func_def_230,type,
finite1152437895449049373et_nat: set_set_nat > $o ).
thf(func_def_231,type,
finite8744585540193469122nt_int: set_se6260736226359567993nt_int > $o ).
thf(func_def_232,type,
finite9047747110432174090at_nat: set_se7855581050983116737at_nat > $o ).
thf(func_def_233,type,
finite_finite_char: set_char > $o ).
thf(func_def_234,type,
bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).
thf(func_def_235,type,
comp_C2822359487432382964nteger: ( ( code_integer > code_integer ) > code_integer > code_integer ) > ( code_integer > code_integer > code_integer ) > code_integer > code_integer > code_integer ).
thf(func_def_236,type,
comp_C3983183376822107068nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( ( code_integer > code_integer ) > code_integer > code_integer ) > ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_237,type,
comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_238,type,
comp_C2931745410781319416nteger: ( code_integer > code_integer > code_integer ) > ( code_integer > code_integer ) > code_integer > code_integer > code_integer ).
thf(func_def_239,type,
comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_240,type,
comp_C7449957260575251196nteger: ( code_integer > code_integer ) > ( code_integer > code_integer ) > code_integer > code_integer ).
thf(func_def_241,type,
comp_C3531382070062128313er_num: ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ).
thf(func_def_242,type,
comp_C1043215000170864188nteger: ( code_integer > code_integer ) > ( produc8923325533196201883nteger > code_integer ) > produc8923325533196201883nteger > code_integer ).
thf(func_def_243,type,
comp_C4049556595663050210at_nat: ( code_integer > nat ) > ( nat > code_integer ) > nat > nat ).
thf(func_def_244,type,
comp_C3856975138083468656nteger: ( code_integer > char ) > ( code_integer > code_integer ) > code_integer > char ).
thf(func_def_245,type,
comp_i1585864551200866970er_int: ( int > code_integer ) > ( int > int ) > int > code_integer ).
thf(func_def_246,type,
comp_i6850693561888474213al_int: ( int > code_natural ) > ( int > int ) > int > code_natural ).
thf(func_def_247,type,
comp_int_int_int: ( int > int ) > ( int > int ) > int > int ).
thf(func_def_248,type,
comp_int_int_nat: ( int > int ) > ( nat > int ) > nat > int ).
thf(func_def_249,type,
comp_i4330622015127193916nt_int: ( int > int ) > ( product_prod_int_int > int ) > product_prod_int_int > int ).
thf(func_def_250,type,
comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).
thf(func_def_251,type,
comp_int_nat_nat: ( int > nat ) > ( nat > int ) > nat > nat ).
thf(func_def_252,type,
comp_int_num_int: ( int > num ) > ( int > int ) > int > num ).
thf(func_def_253,type,
comp_int_num_nat: ( int > num ) > ( nat > int ) > nat > num ).
thf(func_def_254,type,
comp_i5941103828406351439nt_int: ( int > product_prod_int_int ) > ( product_prod_int_int > int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_255,type,
comp_int_rat_int: ( int > rat ) > ( int > int ) > int > rat ).
thf(func_def_256,type,
comp_nat_o_nat: ( nat > $o ) > ( nat > nat ) > nat > $o ).
thf(func_def_257,type,
comp_n3898172953802868194er_nat: ( nat > code_integer ) > ( nat > nat ) > nat > code_integer ).
thf(func_def_258,type,
comp_n9163001964490475437al_nat: ( nat > code_natural ) > ( nat > nat ) > nat > code_natural ).
thf(func_def_259,type,
comp_nat_int_int: ( nat > int ) > ( int > nat ) > int > int ).
thf(func_def_260,type,
comp_nat_int_nat: ( nat > int ) > ( nat > nat ) > nat > int ).
thf(func_def_261,type,
comp_nat_nat_int: ( nat > nat ) > ( int > nat ) > int > nat ).
thf(func_def_262,type,
comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).
thf(func_def_263,type,
comp_n2711240574518091068at_nat: ( nat > nat ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_264,type,
comp_nat_num_int: ( nat > num ) > ( int > nat ) > int > num ).
thf(func_def_265,type,
comp_nat_num_nat: ( nat > num ) > ( nat > nat ) > nat > num ).
thf(func_def_266,type,
comp_n829915685812334579at_nat: ( nat > product_prod_nat_nat ) > ( product_prod_nat_nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_267,type,
comp_nat_rat_nat: ( nat > rat ) > ( nat > nat ) > nat > rat ).
thf(func_def_268,type,
comp_num_nat_int: ( num > nat ) > ( int > num ) > int > nat ).
thf(func_def_269,type,
comp_num_nat_nat: ( num > nat ) > ( nat > num ) > nat > nat ).
thf(func_def_270,type,
comp_num_num_int: ( num > num ) > ( int > num ) > int > num ).
thf(func_def_271,type,
comp_num_num_nat: ( num > num ) > ( nat > num ) > nat > num ).
thf(func_def_272,type,
comp_P2923453866557446737e_term: ( produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ) > ( produc1017113440723519068e_term > produc8763457246119570046nteger ) > produc1017113440723519068e_term > code_integer > option6357759511663192854e_term ).
thf(func_def_273,type,
comp_P5265141440952980950e_term: ( produc8763457246119570046nteger > produc8923325533196201883nteger ) > ( produc1017113440723519068e_term > produc8763457246119570046nteger ) > produc1017113440723519068e_term > produc8923325533196201883nteger ).
thf(func_def_274,type,
comp_P1875353012086385820e_term: ( produc7773217078559923341nt_int > int > option6357759511663192854e_term ) > ( produc3832618445565238089e_term > produc7773217078559923341nt_int ) > produc3832618445565238089e_term > int > option6357759511663192854e_term ).
thf(func_def_275,type,
comp_P5363713469694551954e_term: ( produc7773217078559923341nt_int > product_prod_int_int ) > ( produc3832618445565238089e_term > produc7773217078559923341nt_int ) > produc3832618445565238089e_term > product_prod_int_int ).
thf(func_def_276,type,
comp_P8650103696410638905e_term: ( produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ) > ( produc998928222018024388e_term > produc1908205239877642774nteger ) > produc998928222018024388e_term > produc6241069584506657477e_term > option6357759511663192854e_term ).
thf(func_def_277,type,
comp_P1663382703091044646e_term: ( produc1908205239877642774nteger > produc8923325533196201883nteger ) > ( produc998928222018024388e_term > produc1908205239877642774nteger ) > produc998928222018024388e_term > produc8923325533196201883nteger ).
thf(func_def_278,type,
comp_P4560647100477330970e_term: ( produc989692990947075319atural > produc4972180933644002618e_term > option6357759511663192854e_term ) > ( produc8392782284284844111e_term > produc989692990947075319atural ) > produc8392782284284844111e_term > produc4972180933644002618e_term > option6357759511663192854e_term ).
thf(func_def_279,type,
comp_P3964586916483566246e_term: ( produc989692990947075319atural > produc7822875418678951345atural ) > ( produc8392782284284844111e_term > produc989692990947075319atural ) > produc8392782284284844111e_term > produc7822875418678951345atural ).
thf(func_def_280,type,
comp_P8577347034251779110e_term: ( produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ) > ( produc1821397396195235155e_term > produc2285326912895808259nt_int ) > produc1821397396195235155e_term > produc8551481072490612790e_term > option6357759511663192854e_term ).
thf(func_def_281,type,
comp_P4057098934159210662e_term: ( produc2285326912895808259nt_int > product_prod_int_int ) > ( produc1821397396195235155e_term > produc2285326912895808259nt_int ) > produc1821397396195235155e_term > product_prod_int_int ).
thf(func_def_282,type,
comp_P3428181540658402820nteger: ( produc8923325533196201883nteger > code_integer ) > ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8923325533196201883nteger > code_integer ).
thf(func_def_283,type,
comp_P5356232565778667509nt_int: ( product_prod_int_int > int ) > ( product_prod_int_int > product_prod_int_int ) > product_prod_int_int > int ).
thf(func_def_284,type,
comp_P1567445206330693457at_nat: ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > nat ).
thf(func_def_285,type,
comp_P3118722334806803912t_unit: ( produc8664842809031399944it_nat > option8956607266484857688it_nat ) > ( heap_e7401611519738050253t_unit > produc8664842809031399944it_nat ) > heap_e7401611519738050253t_unit > option8956607266484857688it_nat ).
thf(func_def_286,type,
comp_P8552900652980440422t_unit: ( produc3260487557148687353it_nat > option3562590408128118217it_nat ) > ( heap_e7401611519738050253t_unit > produc3260487557148687353it_nat ) > heap_e7401611519738050253t_unit > option3562590408128118217it_nat ).
thf(func_def_287,type,
comp_c4562247934908617188nteger: ( char > char ) > ( code_integer > char ) > code_integer > char ).
thf(func_def_288,type,
comp_char_char_char: ( char > char ) > ( char > char ) > char > char ).
thf(func_def_289,type,
id_o: $o > $o ).
thf(func_def_290,type,
id_int: int > int ).
thf(func_def_291,type,
id_list_Code_integer: list_Code_integer > list_Code_integer ).
thf(func_def_292,type,
id_nat: nat > nat ).
thf(func_def_293,type,
id_num: num > num ).
thf(func_def_294,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(func_def_295,type,
inj_on_nat_char: ( nat > char ) > set_nat > $o ).
thf(func_def_296,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_297,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_298,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_299,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_300,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_301,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_302,type,
map_fu4627020735845646302iteral: ( $o > $o ) > ( ( list_char > list_char ) > literal > literal ) > ( $o > list_char > list_char ) > $o > literal > literal ).
thf(func_def_303,type,
map_fu8272188784021352819nteger: ( code_integer > int ) > ( ( int > int ) > code_integer > code_integer ) > ( int > int > int ) > code_integer > code_integer > code_integer ).
thf(func_def_304,type,
map_fu2599414010547811884nteger: ( code_integer > int ) > ( int > code_integer ) > ( int > int ) > code_integer > code_integer ).
thf(func_def_305,type,
map_fu1227494855608507351um_num: ( code_integer > int ) > ( num > num ) > ( int > num ) > code_integer > num ).
thf(func_def_306,type,
map_fu6549440983881763648atural: ( code_natural > nat ) > ( ( nat > nat ) > code_natural > code_natural ) > ( nat > nat > nat ) > code_natural > code_natural > code_natural ).
thf(func_def_307,type,
map_fu1239815594074539274atural: ( code_natural > nat ) > ( nat > code_natural ) > ( nat > nat ) > code_natural > code_natural ).
thf(func_def_308,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_309,type,
map_fu3424225382358772769nt_rat: ( int > int ) > ( product_prod_int_int > rat ) > ( int > product_prod_int_int ) > int > rat ).
thf(func_def_310,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_311,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_312,type,
map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).
thf(func_def_313,type,
map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).
thf(func_def_314,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_315,type,
map_fu9222038735678016191iteral: ( list_Code_integer > list_Code_integer ) > ( list_char > literal ) > ( list_Code_integer > list_char ) > list_Code_integer > literal ).
thf(func_def_316,type,
map_fu6891787308814931657nteger: ( num > num ) > ( ( num > int ) > num > code_integer ) > ( num > num > int ) > num > num > code_integer ).
thf(func_def_317,type,
map_fu8638147718074629079nteger: ( num > num ) > ( int > code_integer ) > ( num > int ) > num > code_integer ).
thf(func_def_318,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_319,type,
map_fu898904425404107465nt_o_o: ( rat > product_prod_int_int ) > ( $o > $o ) > ( product_prod_int_int > $o ) > rat > $o ).
thf(func_def_320,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_321,type,
map_fu2661873803724901240eral_o: ( literal > list_char ) > ( ( list_char > $o ) > literal > $o ) > ( list_char > list_char > $o ) > literal > literal > $o ).
thf(func_def_322,type,
map_fu6698795530259886495ar_o_o: ( literal > list_char ) > ( $o > $o ) > ( list_char > $o ) > literal > $o ).
thf(func_def_323,type,
map_fu7398138089906338514iteral: ( literal > list_char ) > ( list_char > literal ) > ( list_char > list_char ) > literal > literal ).
thf(func_def_324,type,
fun_is_measure_int: ( int > nat ) > $o ).
thf(func_def_325,type,
fun_max_strict: set_Pr4329608150637261639at_nat ).
thf(func_def_326,type,
fun_max_weak: set_Pr4329608150637261639at_nat ).
thf(func_def_327,type,
fun_min_strict: set_Pr4329608150637261639at_nat ).
thf(func_def_328,type,
fun_min_weak: set_Pr4329608150637261639at_nat ).
thf(func_def_329,type,
fun_pair_leq: set_Pr8693737435421807431at_nat ).
thf(func_def_330,type,
fun_pair_less: set_Pr8693737435421807431at_nat ).
thf(func_def_331,type,
fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).
thf(func_def_332,type,
gcd_Gcd_int: set_int > int ).
thf(func_def_333,type,
gcd_Gcd_nat: set_nat > nat ).
thf(func_def_334,type,
gcd_Lcm_int: set_int > int ).
thf(func_def_335,type,
gcd_Lcm_nat: set_nat > nat ).
thf(func_def_336,type,
bezw: nat > nat > product_prod_int_int ).
thf(func_def_337,type,
bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_338,type,
gcd_gcd_Code_integer: code_integer > code_integer > code_integer ).
thf(func_def_339,type,
gcd_gcd_int: int > int > int ).
thf(func_def_340,type,
gcd_gcd_nat: nat > nat > nat ).
thf(func_def_341,type,
gcd_lcm_Code_integer: code_integer > code_integer > code_integer ).
thf(func_def_342,type,
gcd_lcm_int: int > int > int ).
thf(func_def_343,type,
gcd_lcm_nat: nat > nat > nat ).
thf(func_def_344,type,
gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_345,type,
abs_abs_Code_integer: code_integer > code_integer ).
thf(func_def_346,type,
abs_abs_int: int > int ).
thf(func_def_347,type,
abs_abs_rat: rat > rat ).
thf(func_def_348,type,
comm_monoid_nat: ( nat > nat > nat ) > nat > $o ).
thf(func_def_349,type,
group_Code_integer: ( code_integer > code_integer > code_integer ) > code_integer > ( code_integer > code_integer ) > $o ).
thf(func_def_350,type,
group_int: ( int > int > int ) > int > ( int > int ) > $o ).
thf(func_def_351,type,
group_rat: ( rat > rat > rat ) > rat > ( rat > rat ) > $o ).
thf(func_def_352,type,
minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).
thf(func_def_353,type,
minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).
thf(func_def_354,type,
minus_6910147592129066416_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > set_nat > $o ).
thf(func_def_355,type,
minus_357216186751819389_int_o: ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > set_Pr958786334691620121nt_int > $o ).
thf(func_def_356,type,
minus_7112847369788763957_nat_o: ( set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_357,type,
minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).
thf(func_def_358,type,
minus_7197305767214868737atural: code_natural > code_natural > code_natural ).
thf(func_def_359,type,
minus_minus_int: int > int > int ).
thf(func_def_360,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_361,type,
minus_minus_rat: rat > rat > rat ).
thf(func_def_362,type,
minus_minus_set_int: set_int > set_int > set_int ).
thf(func_def_363,type,
minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).
thf(func_def_364,type,
minus_minus_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_365,type,
minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_366,type,
minus_3314409938677909166at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_367,type,
minus_6452836326544984404t_unit: set_Product_unit > set_Product_unit > set_Product_unit ).
thf(func_def_368,type,
minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat ).
thf(func_def_369,type,
minus_2612819937483484256nt_int: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int > set_se6260736226359567993nt_int ).
thf(func_def_370,type,
minus_4207664762107033000at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).
thf(func_def_371,type,
monoid_nat: ( nat > nat > nat ) > nat > $o ).
thf(func_def_372,type,
one_one_Code_integer: code_integer ).
thf(func_def_373,type,
one_one_Code_natural: code_natural ).
thf(func_def_374,type,
one_one_int: int ).
thf(func_def_375,type,
one_one_nat: nat ).
thf(func_def_376,type,
one_one_rat: rat ).
thf(func_def_377,type,
plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).
thf(func_def_378,type,
plus_p4538020629002901425atural: code_natural > code_natural > code_natural ).
thf(func_def_379,type,
plus_plus_int: int > int > int ).
thf(func_def_380,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_381,type,
plus_plus_num: num > num > num ).
thf(func_def_382,type,
plus_plus_rat: rat > rat > rat ).
thf(func_def_383,type,
plus_plus_literal: literal > literal > literal ).
thf(func_def_384,type,
sgn_sgn_Code_integer: code_integer > code_integer ).
thf(func_def_385,type,
sgn_sgn_int: int > int ).
thf(func_def_386,type,
sgn_sgn_rat: rat > rat ).
thf(func_def_387,type,
times_3573771949741848930nteger: code_integer > code_integer > code_integer ).
thf(func_def_388,type,
times_2397367101498566445atural: code_natural > code_natural > code_natural ).
thf(func_def_389,type,
times_times_int: int > int > int ).
thf(func_def_390,type,
times_times_nat: nat > nat > nat ).
thf(func_def_391,type,
times_times_num: num > num > num ).
thf(func_def_392,type,
times_times_rat: rat > rat > rat ).
thf(func_def_393,type,
uminus1351360451143612070nteger: code_integer > code_integer ).
thf(func_def_394,type,
uminus_uminus_int: int > int ).
thf(func_def_395,type,
uminus2952777764628376836t_unit: product_unit > product_unit ).
thf(func_def_396,type,
uminus_uminus_rat: rat > rat ).
thf(func_def_397,type,
zero_z3403309356797280102nteger: code_integer ).
thf(func_def_398,type,
zero_z2226904508553997617atural: code_natural ).
thf(func_def_399,type,
zero_zero_int: int ).
thf(func_def_400,type,
zero_zero_nat: nat ).
thf(func_def_401,type,
zero_zero_rat: rat ).
thf(func_def_402,type,
zero_zero_literal: literal ).
thf(func_def_403,type,
groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).
thf(func_def_404,type,
groups6697149243333190288atural: ( int > code_natural ) > set_int > code_natural ).
thf(func_def_405,type,
groups4538972089207619220nt_int: ( int > int ) > set_int > int ).
thf(func_def_406,type,
groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).
thf(func_def_407,type,
groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).
thf(func_def_408,type,
groups4396056296759096172at_nat: ( list_nat > nat ) > set_list_nat > nat ).
thf(func_def_409,type,
groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).
thf(func_def_410,type,
groups6325495683096345652atural: ( nat > code_natural ) > set_nat > code_natural ).
thf(func_def_411,type,
groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).
thf(func_def_412,type,
groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).
thf(func_def_413,type,
groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).
thf(func_def_414,type,
groups975429370522433651at_int: ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > int ).
thf(func_def_415,type,
groups977919841031483927at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).
thf(func_def_416,type,
groups342789780944988191at_rat: ( product_prod_nat_nat > rat ) > set_Pr1261947904930325089at_nat > rat ).
thf(func_def_417,type,
groups5393439102872367408nteger: ( product_unit > code_integer ) > set_Product_unit > code_integer ).
thf(func_def_418,type,
groups8764306707065906943it_int: ( product_unit > int ) > set_Product_unit > int ).
thf(func_def_419,type,
groups8766797177574957219it_nat: ( product_unit > nat ) > set_Product_unit > nat ).
thf(func_def_420,type,
groups8131667117488461483it_rat: ( product_unit > rat ) > set_Product_unit > rat ).
thf(func_def_421,type,
groups9190459664516455967nteger: ( set_nat > code_integer ) > set_set_nat > code_integer ).
thf(func_def_422,type,
groups8292507037921071086at_int: ( set_nat > int ) > set_set_nat > int ).
thf(func_def_423,type,
groups8294997508430121362at_nat: ( set_nat > nat ) > set_set_nat > nat ).
thf(func_def_424,type,
groups7659867448343625626at_rat: ( set_nat > rat ) > set_set_nat > rat ).
thf(func_def_425,type,
groups182716853052024971nt_int: ( set_Pr958786334691620121nt_int > int ) > set_se6260736226359567993nt_int > int ).
thf(func_def_426,type,
groups185207323561075247nt_nat: ( set_Pr958786334691620121nt_int > nat ) > set_se6260736226359567993nt_int > nat ).
thf(func_def_427,type,
groups5114918151688220676nteger: ( set_Pr1261947904930325089at_nat > code_integer ) > set_se7855581050983116737at_nat > code_integer ).
thf(func_def_428,type,
groups178575644746855891at_int: ( set_Pr1261947904930325089at_nat > int ) > set_se7855581050983116737at_nat > int ).
thf(func_def_429,type,
groups181066115255906167at_nat: ( set_Pr1261947904930325089at_nat > nat ) > set_se7855581050983116737at_nat > nat ).
thf(func_def_430,type,
groups8769308092024186239at_rat: ( set_Pr1261947904930325089at_nat > rat ) > set_se7855581050983116737at_nat > rat ).
thf(func_def_431,type,
groups3827104343326376752nteger: ( int > code_integer ) > set_int > code_integer ).
thf(func_def_432,type,
groups2650699495083094267atural: ( int > code_natural ) > set_int > code_natural ).
thf(func_def_433,type,
groups1705073143266064639nt_int: ( int > int ) > set_int > int ).
thf(func_def_434,type,
groups1707563613775114915nt_nat: ( int > nat ) > set_int > nat ).
thf(func_def_435,type,
groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).
thf(func_def_436,type,
groups2905156660866384563at_int: ( list_nat > int ) > set_list_nat > int ).
thf(func_def_437,type,
groups2907647131375434839at_nat: ( list_nat > nat ) > set_list_nat > nat ).
thf(func_def_438,type,
groups3455450783089532116nteger: ( nat > code_integer ) > set_nat > code_integer ).
thf(func_def_439,type,
groups2279045934846249631atural: ( nat > code_natural ) > set_nat > code_natural ).
thf(func_def_440,type,
groups705719431365010083at_int: ( nat > int ) > set_nat > int ).
thf(func_def_441,type,
groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).
thf(func_def_442,type,
groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).
thf(func_def_443,type,
groups1230400874837758585nteger: ( product_prod_nat_nat > code_integer ) > set_Pr1261947904930325089at_nat > code_integer ).
thf(func_def_444,type,
groups4075276357253098568at_int: ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > int ).
thf(func_def_445,type,
groups4077766827762148844at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).
thf(func_def_446,type,
groups8185359811944078981nteger: ( product_unit > code_integer ) > set_Product_unit > code_integer ).
thf(func_def_447,type,
groups7008954963700796496atural: ( product_unit > code_natural ) > set_Product_unit > code_natural ).
thf(func_def_448,type,
groups393930778517121108it_int: ( product_unit > int ) > set_Product_unit > int ).
thf(func_def_449,type,
groups396421249026171384it_nat: ( product_unit > nat ) > set_Product_unit > nat ).
thf(func_def_450,type,
groups8984663225794451456it_rat: ( product_unit > rat ) > set_Product_unit > rat ).
thf(func_def_451,type,
groups2761809935038513290nteger: ( set_nat > code_integer ) > set_set_nat > code_integer ).
thf(func_def_452,type,
groups4246057289670975065at_int: ( set_nat > int ) > set_set_nat > int ).
thf(func_def_453,type,
groups4248547760180025341at_nat: ( set_nat > nat ) > set_set_nat > nat ).
thf(func_def_454,type,
groups3613417700093529605at_rat: ( set_nat > rat ) > set_set_nat > rat ).
thf(func_def_455,type,
groups1216284892592621664nt_int: ( set_Pr958786334691620121nt_int > int ) > set_se6260736226359567993nt_int > int ).
thf(func_def_456,type,
groups1212143684287452584at_int: ( set_Pr1261947904930325089at_nat > int ) > set_se7855581050983116737at_nat > int ).
thf(func_def_457,type,
groups4561878855575611511st_nat: list_nat > nat ).
thf(func_def_458,type,
nO_MAT8252062027627875367nteger: code_integer > code_integer > $o ).
thf(func_def_459,type,
nO_MAT8427913294028938742er_int: code_integer > int > $o ).
thf(func_def_460,type,
nO_MAT8430403764537989018er_nat: code_integer > nat > $o ).
thf(func_def_461,type,
nO_MAT7795273704451493282er_rat: code_integer > rat > $o ).
thf(func_def_462,type,
nO_MAT9066612773553876470nteger: int > code_integer > $o ).
thf(func_def_463,type,
nO_MATCH_int_int: int > int > $o ).
thf(func_def_464,type,
nO_MATCH_int_nat: int > nat > $o ).
thf(func_def_465,type,
nO_MATCH_int_rat: int > rat > $o ).
thf(func_def_466,type,
nO_MAT8694959213317031834nteger: nat > code_integer > $o ).
thf(func_def_467,type,
nO_MATCH_nat_int: nat > int > $o ).
thf(func_def_468,type,
nO_MATCH_nat_nat: nat > nat > $o ).
thf(func_def_469,type,
nO_MATCH_nat_rat: nat > rat > $o ).
thf(func_def_470,type,
nO_MATCH_rat_int: rat > int > $o ).
thf(func_def_471,type,
nO_MATCH_rat_rat: rat > rat > $o ).
thf(func_def_472,type,
the_int: ( int > $o ) > int ).
thf(func_def_473,type,
the_Pr4378521158711661632nt_int: ( product_prod_int_int > $o ) > product_prod_int_int ).
thf(func_def_474,type,
defaul566961228789861419t_unit: product_unit ).
thf(func_def_475,type,
heap_T6183433275982383450t_unit: ( heap_e7401611519738050253t_unit > option8956607266484857688it_nat ) > heap_T5738788834812785303t_unit ).
thf(func_def_476,type,
heap_Time_Heap_a2: ( heap_e7401611519738050253t_unit > option3562590408128118217it_nat ) > heap_Time_Heap_a ).
thf(func_def_477,type,
heap_T4142866422068808505t_unit: ( product_unit > nat ) > heap_T5738788834812785303t_unit > nat ).
thf(func_def_478,type,
heap_T4208721593536448476t_unit: ( product_unit > $o ) > product_unit > heap_T5738788834812785303t_unit ).
thf(func_def_479,type,
heap_Time_assert_a: ( a > $o ) > a > heap_Time_Heap_a ).
thf(func_def_480,type,
heap_T2633723481742716231t_unit: heap_T5738788834812785303t_unit > ( product_unit > heap_T5738788834812785303t_unit ) > heap_T5738788834812785303t_unit ).
thf(func_def_481,type,
heap_T757603679106148408unit_a: heap_T5738788834812785303t_unit > ( product_unit > heap_Time_Heap_a ) > heap_Time_Heap_a ).
thf(func_def_482,type,
heap_T8685611227969916822t_unit: heap_Time_Heap_a > ( a > heap_T5738788834812785303t_unit ) > heap_T5738788834812785303t_unit ).
thf(func_def_483,type,
heap_Time_bind_a_a: heap_Time_Heap_a > ( a > heap_Time_Heap_a ) > heap_Time_Heap_a ).
thf(func_def_484,type,
heap_T6553295506729943825t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > product_unit > nat > $o ).
thf(func_def_485,type,
heap_Time_effect_a: heap_Time_Heap_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > a > nat > $o ).
thf(func_def_486,type,
heap_T875086893843062177t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > option8956607266484857688it_nat ).
thf(func_def_487,type,
heap_Time_execute_a: heap_Time_Heap_a > heap_e7401611519738050253t_unit > option3562590408128118217it_nat ).
thf(func_def_488,type,
heap_T8440541562793052209t_unit: ( heap_e7401611519738050253t_unit > $o ) > ( heap_e7401611519738050253t_unit > produc8664842809031399944it_nat ) > heap_T5738788834812785303t_unit ).
thf(func_def_489,type,
heap_Time_guard_a: ( heap_e7401611519738050253t_unit > $o ) > ( heap_e7401611519738050253t_unit > produc3260487557148687353it_nat ) > heap_Time_Heap_a ).
thf(func_def_490,type,
heap_T6927113302350381334t_unit: ( heap_e7401611519738050253t_unit > produc8664842809031399944it_nat ) > heap_T5738788834812785303t_unit ).
thf(func_def_491,type,
heap_Time_heap_a: ( heap_e7401611519738050253t_unit > produc3260487557148687353it_nat ) > heap_Time_Heap_a ).
thf(func_def_492,type,
heap_T2927564422264180874t_unit: list_char > heap_T5738788834812785303t_unit ).
thf(func_def_493,type,
heap_Time_raise_a: list_char > heap_Time_Heap_a ).
thf(func_def_494,type,
heap_T7507251653302230130t_unit: product_unit > heap_T5738788834812785303t_unit ).
thf(func_def_495,type,
heap_Time_return_a: a > heap_Time_Heap_a ).
thf(func_def_496,type,
heap_T584514906347983379t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > $o ).
thf(func_def_497,type,
heap_Time_success_a: heap_Time_Heap_a > heap_e7401611519738050253t_unit > $o ).
thf(func_def_498,type,
heap_T560649228465745139t_unit: ( heap_e7401611519738050253t_unit > product_unit ) > heap_T5738788834812785303t_unit ).
thf(func_def_499,type,
heap_Time_tap_a: ( heap_e7401611519738050253t_unit > a ) > heap_Time_Heap_a ).
thf(func_def_500,type,
heap_T3616969660504097270t_unit: nat > option8956607266484857688it_nat > option8956607266484857688it_nat ).
thf(func_def_501,type,
heap_T7616092557645711335rame_a: nat > option3562590408128118217it_nat > option3562590408128118217it_nat ).
thf(func_def_502,type,
heap_T996182799752388649t_unit: produc3911288613690379145it_nat > produc3911288613690379145it_nat > $o ).
thf(func_def_503,type,
heap_T8132184524487034138_rel_a: produc4453839368661128058it_nat > produc4453839368661128058it_nat > $o ).
thf(func_def_504,type,
heap_T4284346855313245393t_unit: product_unit > heap_T5738788834812785303t_unit ).
thf(func_def_505,type,
heap_Time_ureturn_a: a > heap_Time_Heap_a ).
thf(func_def_506,type,
heap_Time_wait: nat > heap_T5738788834812785303t_unit ).
thf(func_def_507,type,
if_Code_integer: $o > code_integer > code_integer > code_integer ).
thf(func_def_508,type,
if_Code_natural: $o > code_natural > code_natural > code_natural ).
thf(func_def_509,type,
if_Heap_Time_Heap_a: $o > heap_Time_Heap_a > heap_Time_Heap_a > heap_Time_Heap_a ).
thf(func_def_510,type,
if_int: $o > int > int > int ).
thf(func_def_511,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_512,type,
if_num: $o > num > num > num ).
thf(func_def_513,type,
if_option_num: $o > option_num > option_num > option_num ).
thf(func_def_514,type,
if_opt1729522071442692626it_nat: $o > option8956607266484857688it_nat > option8956607266484857688it_nat > option8956607266484857688it_nat ).
thf(func_def_515,type,
if_opt6883606601682554499it_nat: $o > option3562590408128118217it_nat > option3562590408128118217it_nat > option3562590408128118217it_nat ).
thf(func_def_516,type,
if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).
thf(func_def_517,type,
if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_518,type,
if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).
thf(func_def_519,type,
if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_520,type,
if_Pro3444522238938527101atural: $o > produc4675096598859438275atural > produc4675096598859438275atural > produc4675096598859438275atural ).
thf(func_def_521,type,
if_rat: $o > rat > rat > rat ).
thf(func_def_522,type,
if_set_nat: $o > set_nat > set_nat > set_nat ).
thf(func_def_523,type,
abs_Integ: product_prod_nat_nat > int ).
thf(func_def_524,type,
neg: num > int ).
thf(func_def_525,type,
pos: num > int ).
thf(func_def_526,type,
rep_Integ: int > product_prod_nat_nat ).
thf(func_def_527,type,
cr_int: product_prod_nat_nat > int > $o ).
thf(func_def_528,type,
dup: int > int ).
thf(func_def_529,type,
abs_int: set_Pr1261947904930325089at_nat > int ).
thf(func_def_530,type,
rep_int: int > set_Pr1261947904930325089at_nat ).
thf(func_def_531,type,
int_ge_less_than: int > set_Pr958786334691620121nt_int ).
thf(func_def_532,type,
int_ge_less_than2: int > set_Pr958786334691620121nt_int ).
thf(func_def_533,type,
intrel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_534,type,
nat2: int > nat ).
thf(func_def_535,type,
pcr_int: product_prod_nat_nat > int > $o ).
thf(func_def_536,type,
ring_11222124179247155820nteger: set_Code_integer ).
thf(func_def_537,type,
ring_1_Ints_int: set_int ).
thf(func_def_538,type,
ring_1_Ints_rat: set_rat ).
thf(func_def_539,type,
ring_18347121197199848620nteger: int > code_integer ).
thf(func_def_540,type,
ring_1_of_int_int: int > int ).
thf(func_def_541,type,
ring_1_of_int_rat: int > rat ).
thf(func_def_542,type,
sub: num > num > int ).
thf(func_def_543,type,
inf_inf_list_char_o: ( list_char > $o ) > ( list_char > $o ) > list_char > $o ).
thf(func_def_544,type,
inf_in3604695632404883862_int_o: ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > product_prod_int_int > $o ).
thf(func_def_545,type,
inf_inf_int: int > int > int ).
thf(func_def_546,type,
inf_inf_nat: nat > nat > nat ).
thf(func_def_547,type,
inf_inf_Product_unit: product_unit > product_unit > product_unit ).
thf(func_def_548,type,
inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_549,type,
semila9081495762789891438tr_nat: ( nat > nat > nat ) > nat > $o ).
thf(func_def_550,type,
semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_551,type,
semila1248733672344298208er_nat: ( nat > nat > nat ) > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_552,type,
sup_sup_int: int > int > int ).
thf(func_def_553,type,
sup_sup_nat: nat > nat > nat ).
thf(func_def_554,type,
sup_sup_Product_unit: product_unit > product_unit > product_unit ).
thf(func_def_555,type,
sup_sup_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_556,type,
sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_557,type,
lattic8263393255366662781ax_int: set_int > int ).
thf(func_def_558,type,
lattic8265883725875713057ax_nat: set_nat > nat ).
thf(func_def_559,type,
lattic7826324295020591184_F_nat: ( nat > nat > nat ) > nat > set_nat > nat ).
thf(func_def_560,type,
quotie6109894551476798619iteral: ( list_char > list_char > $o ) > ( list_char > literal ) > ( literal > list_char ) > ( list_char > literal > $o ) > $o ).
thf(func_def_561,type,
quotie1194848508323700631at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int ) > ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int > $o ) > $o ).
thf(func_def_562,type,
append_nat: list_nat > list_nat > list_nat ).
thf(func_def_563,type,
append_char: list_char > list_char > list_char ).
thf(func_def_564,type,
distinct_int: list_int > $o ).
thf(func_def_565,type,
distinct_list_nat: list_list_nat > $o ).
thf(func_def_566,type,
distinct_nat: list_nat > $o ).
thf(func_def_567,type,
distin6923225563576452346at_nat: list_P6011104703257516679at_nat > $o ).
thf(func_def_568,type,
distin4812975378522102150t_unit: list_Product_unit > $o ).
thf(func_def_569,type,
distinct_set_nat: list_set_nat > $o ).
thf(func_def_570,type,
distinct_char: list_char > $o ).
thf(func_def_571,type,
drop_nat: nat > list_nat > list_nat ).
thf(func_def_572,type,
fold_int_int: ( int > int > int ) > list_int > int > int ).
thf(func_def_573,type,
fold_nat_nat: ( nat > nat > nat ) > list_nat > nat > nat ).
thf(func_def_574,type,
last_nat: list_nat > nat ).
thf(func_def_575,type,
linord1735203802627413978nt_int: ( int > int ) > list_int > list_int ).
thf(func_def_576,type,
linord738340561235409698at_nat: ( nat > nat ) > list_nat > list_nat ).
thf(func_def_577,type,
linord2614967742042102400et_nat: set_nat > list_nat ).
thf(func_def_578,type,
cons_Code_integer: code_integer > list_Code_integer > list_Code_integer ).
thf(func_def_579,type,
cons_int: int > list_int > list_int ).
thf(func_def_580,type,
cons_nat: nat > list_nat > list_nat ).
thf(func_def_581,type,
cons_char: char > list_char > list_char ).
thf(func_def_582,type,
nil_int: list_int ).
thf(func_def_583,type,
nil_nat: list_nat ).
thf(func_def_584,type,
nil_char: list_char ).
thf(func_def_585,type,
list_all2_char_char: ( char > char > $o ) > list_char > list_char > $o ).
thf(func_def_586,type,
list_all_char: ( char > $o ) > list_char > $o ).
thf(func_def_587,type,
map_Co843364623960961780r_char: ( code_integer > char ) > list_Code_integer > list_char ).
thf(func_def_588,type,
map_nat_nat: ( nat > nat ) > list_nat > list_nat ).
thf(func_def_589,type,
map_ch5843194146513361140nteger: ( char > code_integer ) > list_char > list_Code_integer ).
thf(func_def_590,type,
map_char_char: ( char > char ) > list_char > list_char ).
thf(func_def_591,type,
set_int2: list_int > set_int ).
thf(func_def_592,type,
set_list_nat2: list_list_nat > set_list_nat ).
thf(func_def_593,type,
set_nat2: list_nat > set_nat ).
thf(func_def_594,type,
set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_595,type,
set_Product_unit2: list_Product_unit > set_Product_unit ).
thf(func_def_596,type,
set_set_nat2: list_set_nat > set_set_nat ).
thf(func_def_597,type,
set_se4746441305218329646nt_int: list_s8839374986383574687nt_int > set_se6260736226359567993nt_int ).
thf(func_def_598,type,
set_se5049602875457034614at_nat: list_s1210847774152347623at_nat > set_se7855581050983116737at_nat ).
thf(func_def_599,type,
set_char2: list_char > set_char ).
thf(func_def_600,type,
size_list_typerep: ( typerep > nat ) > list_typerep > nat ).
thf(func_def_601,type,
nth_nat: list_nat > nat > nat ).
thf(func_def_602,type,
lexordp_char: ( char > char > $o ) > list_char > list_char > $o ).
thf(func_def_603,type,
lexordp_eq_char: ( char > char > $o ) > list_char > list_char > $o ).
thf(func_def_604,type,
take_nat: nat > list_nat > list_nat ).
thf(func_def_605,type,
upt: nat > nat > list_nat ).
thf(func_def_606,type,
upto: int > int > list_int ).
thf(func_def_607,type,
upto_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_608,type,
suc: nat > nat ).
thf(func_def_609,type,
compow_nat_nat: nat > ( nat > nat ) > nat > nat ).
thf(func_def_610,type,
case_nat_o: $o > ( nat > $o ) > nat > $o ).
thf(func_def_611,type,
case_nat_nat: nat > ( nat > nat ) > nat > nat ).
thf(func_def_612,type,
case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).
thf(func_def_613,type,
pred: nat > nat ).
thf(func_def_614,type,
semiri2551628265256775642nteger: set_Code_integer ).
thf(func_def_615,type,
semiri1375223417013493157atural: set_Code_natural ).
thf(func_def_616,type,
semiring_1_Nats_int: set_int ).
thf(func_def_617,type,
semiring_1_Nats_nat: set_nat ).
thf(func_def_618,type,
semiring_1_Nats_rat: set_rat ).
thf(func_def_619,type,
semiri4939895301339042750nteger: nat > code_integer ).
thf(func_def_620,type,
semiri3763490453095760265atural: nat > code_natural ).
thf(func_def_621,type,
semiri1314217659103216013at_int: nat > int ).
thf(func_def_622,type,
semiri1316708129612266289at_nat: nat > nat ).
thf(func_def_623,type,
semiri681578069525770553at_rat: nat > rat ).
thf(func_def_624,type,
semiri4055485073559036834nteger: ( code_integer > code_integer ) > nat > code_integer > code_integer ).
thf(func_def_625,type,
semiri2879080225315754349atural: ( code_natural > code_natural ) > nat > code_natural > code_natural ).
thf(func_def_626,type,
semiri8420488043553186161ux_int: ( int > int ) > nat > int > int ).
thf(func_def_627,type,
semiri8422978514062236437ux_nat: ( nat > nat ) > nat > nat > nat ).
thf(func_def_628,type,
semiri7787848453975740701ux_rat: ( rat > rat ) > nat > rat > rat ).
thf(func_def_629,type,
size_s1564113455978345259t_unit: heap_T5738788834812785303t_unit > nat ).
thf(func_def_630,type,
size_size_list_int: list_int > nat ).
thf(func_def_631,type,
size_s3023201423986296836st_nat: list_list_nat > nat ).
thf(func_def_632,type,
size_size_list_nat: list_nat > nat ).
thf(func_def_633,type,
size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).
thf(func_def_634,type,
size_s245203480648594047t_unit: list_Product_unit > nat ).
thf(func_def_635,type,
size_s3254054031482475050et_nat: list_set_nat > nat ).
thf(func_def_636,type,
size_s7141307186832570123nt_int: list_s8839374986383574687nt_int > nat ).
thf(func_def_637,type,
size_s8736152011456118867at_nat: list_s1210847774152347623at_nat > nat ).
thf(func_def_638,type,
size_size_list_char: list_char > nat ).
thf(func_def_639,type,
size_size_num: num > nat ).
thf(func_def_640,type,
size_size_option_num: option_num > nat ).
thf(func_def_641,type,
size_s8766407808098229740it_nat: option8956607266484857688it_nat > nat ).
thf(func_def_642,type,
size_s2363601347547812957it_nat: option3562590408128118217it_nat > nat ).
thf(func_def_643,type,
size_size_char: char > nat ).
thf(func_def_644,type,
size_size_literal: literal > nat ).
thf(func_def_645,type,
size_size_typerep: typerep > nat ).
thf(func_def_646,type,
nat_int_decode: nat > int ).
thf(func_def_647,type,
nat_list_decode: nat > list_nat ).
thf(func_def_648,type,
nat_list_decode_rel: nat > nat > $o ).
thf(func_def_649,type,
nat_list_encode: list_nat > nat ).
thf(func_def_650,type,
nat_list_encode_rel: list_nat > list_nat > $o ).
thf(func_def_651,type,
nat_prod_decode: nat > product_prod_nat_nat ).
thf(func_def_652,type,
nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).
thf(func_def_653,type,
nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_654,type,
nat_prod_encode: product_prod_nat_nat > nat ).
thf(func_def_655,type,
nat_set_decode: nat > set_nat ).
thf(func_def_656,type,
nat_set_encode: set_nat > nat ).
thf(func_def_657,type,
nat_sum_decode: nat > sum_sum_nat_nat ).
thf(func_def_658,type,
nat_sum_encode: sum_sum_nat_nat > nat ).
thf(func_def_659,type,
nat_triangle: nat > nat ).
thf(func_def_660,type,
bitM: num > num ).
thf(func_def_661,type,
inc: num > num ).
thf(func_def_662,type,
nat_of_num: num > nat ).
thf(func_def_663,type,
neg_nu8804712462038260780nteger: code_integer > code_integer ).
thf(func_def_664,type,
neg_numeral_dbl_int: int > int ).
thf(func_def_665,type,
neg_numeral_dbl_rat: rat > rat ).
thf(func_def_666,type,
neg_nu7757733837767384882nteger: code_integer > code_integer ).
thf(func_def_667,type,
neg_nu3811975205180677377ec_int: int > int ).
thf(func_def_668,type,
neg_nu3179335615603231917ec_rat: rat > rat ).
thf(func_def_669,type,
neg_nu5831290666863070958nteger: code_integer > code_integer ).
thf(func_def_670,type,
neg_nu5851722552734809277nc_int: int > int ).
thf(func_def_671,type,
neg_nu5219082963157363817nc_rat: rat > rat ).
thf(func_def_672,type,
neg_nu2435721316971906650nteger: code_integer > $o ).
thf(func_def_673,type,
neg_nu7441568979088483369um_int: int > $o ).
thf(func_def_674,type,
neg_nu6808929389511037909um_rat: rat > $o ).
thf(func_def_675,type,
neg_nu5755505904847501662nteger: num > num > code_integer ).
thf(func_def_676,type,
neg_numeral_sub_int: num > num > int ).
thf(func_def_677,type,
neg_numeral_sub_rat: num > num > rat ).
thf(func_def_678,type,
bit0: num > num ).
thf(func_def_679,type,
bit1: num > num ).
thf(func_def_680,type,
one: num ).
thf(func_def_681,type,
case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).
thf(func_def_682,type,
size_num: num > nat ).
thf(func_def_683,type,
num_of_nat: nat > num ).
thf(func_def_684,type,
numera6620942414471956472nteger: num > code_integer ).
thf(func_def_685,type,
numera5444537566228673987atural: num > code_natural ).
thf(func_def_686,type,
numeral_numeral_int: num > int ).
thf(func_def_687,type,
numeral_numeral_nat: num > nat ).
thf(func_def_688,type,
numeral_numeral_rat: num > rat ).
thf(func_def_689,type,
pred_numeral: num > nat ).
thf(func_def_690,type,
none_num: option_num ).
thf(func_def_691,type,
none_P9117596204409417319it_nat: option8956607266484857688it_nat ).
thf(func_def_692,type,
none_P2651198173097904984it_nat: option3562590408128118217it_nat ).
thf(func_def_693,type,
some_num: num > option_num ).
thf(func_def_694,type,
some_P1914260805536162275it_nat: produc8664842809031399944it_nat > option8956607266484857688it_nat ).
thf(func_def_695,type,
some_P7913643980934408916it_nat: produc3260487557148687353it_nat > option3562590408128118217it_nat ).
thf(func_def_696,type,
case_option_o_num: $o > ( num > $o ) > option_num > $o ).
thf(func_def_697,type,
case_o2686588417244861013it_nat: $o > ( produc8664842809031399944it_nat > $o ) > option8956607266484857688it_nat > $o ).
thf(func_def_698,type,
case_o3267218206291580230it_nat: $o > ( produc3260487557148687353it_nat > $o ) > option3562590408128118217it_nat > $o ).
thf(func_def_699,type,
case_o356765784539232260er_num: code_integer > ( num > code_integer ) > option_num > code_integer ).
thf(func_def_700,type,
case_o5621594795226839503al_num: code_natural > ( num > code_natural ) > option_num > code_natural ).
thf(func_def_701,type,
case_option_int_num: int > ( num > int ) > option_num > int ).
thf(func_def_702,type,
case_option_nat_num: nat > ( num > nat ) > option_num > nat ).
thf(func_def_703,type,
case_option_num_num: num > ( num > num ) > option_num > num ).
thf(func_def_704,type,
case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).
thf(func_def_705,type,
case_o7727800614283616222it_nat: option8956607266484857688it_nat > ( produc3260487557148687353it_nat > option8956607266484857688it_nat ) > option3562590408128118217it_nat > option8956607266484857688it_nat ).
thf(func_def_706,type,
case_o6061097939050036047it_nat: option3562590408128118217it_nat > ( produc3260487557148687353it_nat > option3562590408128118217it_nat ) > option3562590408128118217it_nat > option3562590408128118217it_nat ).
thf(func_def_707,type,
size_option_num: ( num > nat ) > option_num > nat ).
thf(func_def_708,type,
size_o29782932136985253it_nat: ( produc8664842809031399944it_nat > nat ) > option8956607266484857688it_nat > nat ).
thf(func_def_709,type,
size_o1731029420616209814it_nat: ( produc3260487557148687353it_nat > nat ) > option3562590408128118217it_nat > nat ).
thf(func_def_710,type,
the_num: option_num > num ).
thf(func_def_711,type,
the_Pr7776125533777466484it_nat: option8956607266484857688it_nat > produc8664842809031399944it_nat ).
thf(func_def_712,type,
the_Pr3616839707675578981it_nat: option3562590408128118217it_nat > produc3260487557148687353it_nat ).
thf(func_def_713,type,
order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).
thf(func_def_714,type,
order_2888998067076097458on_nat: set_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_715,type,
bot_bot_nat: nat ).
thf(func_def_716,type,
bot_bo2717538794563056311t_unit: pred_Product_unit ).
thf(func_def_717,type,
bot_bot_Product_unit: product_unit ).
thf(func_def_718,type,
bot_bot_set_int: set_int ).
thf(func_def_719,type,
bot_bot_set_nat: set_nat ).
thf(func_def_720,type,
bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).
thf(func_def_721,type,
bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).
thf(func_def_722,type,
bot_bo3957492148770167129t_unit: set_Product_unit ).
thf(func_def_723,type,
ord_Least_nat: ( nat > $o ) > nat ).
thf(func_def_724,type,
ord_less_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_725,type,
ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_726,type,
ord_less_set_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).
thf(func_def_727,type,
ord_le2688692977766382584_int_o: ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > $o ).
thf(func_def_728,type,
ord_le220952123948551344_nat_o: ( set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > $o ) > $o ).
thf(func_def_729,type,
ord_le6747313008572928689nteger: code_integer > code_integer > $o ).
thf(func_def_730,type,
ord_le5570908160329646204atural: code_natural > code_natural > $o ).
thf(func_def_731,type,
ord_less_int: int > int > $o ).
thf(func_def_732,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_733,type,
ord_less_num: num > num > $o ).
thf(func_def_734,type,
ord_less_rat: rat > rat > $o ).
thf(func_def_735,type,
ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o ).
thf(func_def_736,type,
ord_less_set_int: set_int > set_int > $o ).
thf(func_def_737,type,
ord_less_set_nat: set_nat > set_nat > $o ).
thf(func_def_738,type,
ord_le7563427860532173253nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_739,type,
ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_740,type,
ord_less_set_set_nat: set_set_nat > set_set_nat > $o ).
thf(func_def_741,type,
ord_le1924305788584680229nt_int: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int > $o ).
thf(func_def_742,type,
ord_le3519150613208228973at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o ).
thf(func_def_743,type,
ord_less_literal: literal > literal > $o ).
thf(func_def_744,type,
ord_le3636971675376928563eger_o: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > $o ).
thf(func_def_745,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_746,type,
ord_le4340812435750786203eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > $o ).
thf(func_def_747,type,
ord_le7397293433748542458ural_o: ( ( produc4972180933644002618e_term > option6357759511663192854e_term ) > produc7822875418678951345atural > $o ) > ( ( produc4972180933644002618e_term > option6357759511663192854e_term ) > produc7822875418678951345atural > $o ) > $o ).
thf(func_def_748,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_749,type,
ord_le6741204236512500942_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).
thf(func_def_750,type,
ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(func_def_751,type,
ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_752,type,
ord_le3964352015994296041_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).
thf(func_def_753,type,
ord_le8334417538754933252_int_o: ( set_Pr958786334691620121nt_int > $o ) > ( set_Pr958786334691620121nt_int > $o ) > $o ).
thf(func_def_754,type,
ord_le5866676684937102012_nat_o: ( set_Pr1261947904930325089at_nat > $o ) > ( set_Pr1261947904930325089at_nat > $o ) > $o ).
thf(func_def_755,type,
ord_le3102999989581377725nteger: code_integer > code_integer > $o ).
thf(func_def_756,type,
ord_le1926595141338095240atural: code_natural > code_natural > $o ).
thf(func_def_757,type,
ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).
thf(func_def_758,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_759,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_760,type,
ord_less_eq_num: num > num > $o ).
thf(func_def_761,type,
ord_less_eq_rat: rat > rat > $o ).
thf(func_def_762,type,
ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).
thf(func_def_763,type,
ord_less_eq_set_int: set_int > set_int > $o ).
thf(func_def_764,type,
ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o ).
thf(func_def_765,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_766,type,
ord_le3216752416896350996nteger: set_Pr8056137968301705908nteger > set_Pr8056137968301705908nteger > $o ).
thf(func_def_767,type,
ord_le135402666524580259nt_int: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > $o ).
thf(func_def_768,type,
ord_le653643898420964396nteger: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > $o ).
thf(func_def_769,type,
ord_le3616440322383431309atural: set_Pr4244404650639074861atural > set_Pr4244404650639074861atural > $o ).
thf(func_def_770,type,
ord_le8725513860283290265nt_int: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > $o ).
thf(func_def_771,type,
ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_772,type,
ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_773,type,
ord_le3507040750410214029t_unit: set_Product_unit > set_Product_unit > $o ).
thf(func_def_774,type,
ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).
thf(func_def_775,type,
ord_le483042692224249369nt_int: set_se6260736226359567993nt_int > set_se6260736226359567993nt_int > $o ).
thf(func_def_776,type,
ord_le2077887516847798113at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o ).
thf(func_def_777,type,
ord_less_eq_set_char: set_char > set_char > $o ).
thf(func_def_778,type,
ord_less_eq_literal: literal > literal > $o ).
thf(func_def_779,type,
ord_max_Code_integer: code_integer > code_integer > code_integer ).
thf(func_def_780,type,
ord_max_Code_natural: code_natural > code_natural > code_natural ).
thf(func_def_781,type,
ord_max_int: int > int > int ).
thf(func_def_782,type,
ord_max_nat: nat > nat > nat ).
thf(func_def_783,type,
ord_max_num: num > num > num ).
thf(func_def_784,type,
ord_max_rat: rat > rat > rat ).
thf(func_def_785,type,
ord_max_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_786,type,
ord_min_int: int > int > int ).
thf(func_def_787,type,
ord_min_nat: nat > nat > nat ).
thf(func_def_788,type,
order_Greatest_nat: ( nat > $o ) > nat ).
thf(func_def_789,type,
order_mono_nat_nat: ( nat > nat ) > $o ).
thf(func_def_790,type,
order_5726023648592871131at_nat: ( nat > nat ) > $o ).
thf(func_def_791,type,
ordering_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_792,type,
ordering_top_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > $o ).
thf(func_def_793,type,
preordering_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_794,type,
top_top_Product_unit: product_unit ).
thf(func_def_795,type,
top_top_set_int: set_int ).
thf(func_def_796,type,
top_top_set_nat: set_nat ).
thf(func_def_797,type,
top_to1996260823553986621t_unit: set_Product_unit ).
thf(func_def_798,type,
top_top_set_char: set_char ).
thf(func_def_799,type,
power_8256067586552552935nteger: code_integer > nat > code_integer ).
thf(func_def_800,type,
power_7079662738309270450atural: code_natural > nat > code_natural ).
thf(func_def_801,type,
power_power_int: int > nat > int ).
thf(func_def_802,type,
power_power_nat: nat > nat > nat ).
thf(func_def_803,type,
power_power_rat: rat > nat > rat ).
thf(func_def_804,type,
eval_Product_unit: pred_Product_unit > product_unit > $o ).
thf(func_def_805,type,
single_Product_unit: product_unit > pred_Product_unit ).
thf(func_def_806,type,
produc6137756002093451184nteger: ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ).
thf(func_def_807,type,
produc2252593628808123835atural: ( code_natural > option6357759511663192854e_term ) > produc7822875418678951345atural > produc8731074985263844745atural ).
thf(func_def_808,type,
produc4305682042979456191nt_int: ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ).
thf(func_def_809,type,
produc3209952032786966637at_nat: ( nat > nat > nat ) > produc7248412053542808358at_nat > produc4471711990508489141at_nat ).
thf(func_def_810,type,
produc8603105652947943368nteger: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ).
thf(func_def_811,type,
produc3831813291587773865atural: ( produc4972180933644002618e_term > option6357759511663192854e_term ) > produc7822875418678951345atural > produc989692990947075319atural ).
thf(func_def_812,type,
produc5700946648718959541nt_int: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ).
thf(func_def_813,type,
produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).
thf(func_def_814,type,
produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).
thf(func_def_815,type,
produc3574140220909816553atural: code_natural > code_natural > produc7822875418678951345atural ).
thf(func_def_816,type,
produc584006145561248582it_nat: heap_e7401611519738050253t_unit > nat > produc6653097349344004940it_nat ).
thf(func_def_817,type,
product_Pair_int_int: int > int > product_prod_int_int ).
thf(func_def_818,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_819,type,
product_Pair_nat_num: nat > num > product_prod_nat_num ).
thf(func_def_820,type,
produc638857205735767105it_nat: nat > option8956607266484857688it_nat > produc3911288613690379145it_nat ).
thf(func_def_821,type,
produc4111269673004989362it_nat: nat > option3562590408128118217it_nat > produc4453839368661128058it_nat ).
thf(func_def_822,type,
produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat ).
thf(func_def_823,type,
product_Pair_num_num: num > num > product_prod_num_num ).
thf(func_def_824,type,
produc5069803637994805237atural: pred_Product_unit > produc7822875418678951345atural > produc4675096598859438275atural ).
thf(func_def_825,type,
produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).
thf(func_def_826,type,
produc7133225469290080770it_nat: product_unit > produc6653097349344004940it_nat > produc8664842809031399944it_nat ).
thf(func_def_827,type,
produc6363374080413544029et_int: set_int > set_int > produc2115011035271226405et_int ).
thf(func_def_828,type,
produc4532415448927165861et_nat: set_nat > set_nat > produc7819656566062154093et_nat ).
thf(func_def_829,type,
produc763777882069021527od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > produc2934264451710624999od_o_o ).
thf(func_def_830,type,
produc8517790099723286449at_nat: set_Product_prod_o_o > set_Pr1261947904930325089at_nat > produc732395585841259969at_nat ).
thf(func_def_831,type,
produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ).
thf(func_def_832,type,
produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ).
thf(func_def_833,type,
produc9178034014595674355it_nat: a > produc6653097349344004940it_nat > produc3260487557148687353it_nat ).
thf(func_def_834,type,
produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).
thf(func_def_835,type,
product_Unity: product_unit ).
thf(func_def_836,type,
produc6157546124166486841nteger: ( ( code_integer > option6357759511663192854e_term ) > code_integer > option6357759511663192854e_term ) > produc8763457246119570046nteger > produc8763457246119570046nteger ).
thf(func_def_837,type,
produc2291436665917485009nteger: ( ( code_integer > option6357759511663192854e_term ) > produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8763457246119570046nteger > produc1908205239877642774nteger ).
thf(func_def_838,type,
produc7131893314732144953nt_int: ( ( int > option6357759511663192854e_term ) > int > option6357759511663192854e_term ) > produc7773217078559923341nt_int > produc7773217078559923341nt_int ).
thf(func_def_839,type,
produc6067946493426971951nt_int: ( ( int > option6357759511663192854e_term ) > produc8551481072490612790e_term > option6357759511663192854e_term ) > produc7773217078559923341nt_int > produc2285326912895808259nt_int ).
thf(func_def_840,type,
produc1843087649659261265nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > code_integer > option6357759511663192854e_term ) > produc1908205239877642774nteger > produc8763457246119570046nteger ).
thf(func_def_841,type,
produc2515316116081422825nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc6241069584506657477e_term > option6357759511663192854e_term ) > produc1908205239877642774nteger > produc1908205239877642774nteger ).
thf(func_def_842,type,
produc7227253073565913365atural: ( ( produc4972180933644002618e_term > option6357759511663192854e_term ) > produc4972180933644002618e_term > option6357759511663192854e_term ) > produc989692990947075319atural > produc989692990947075319atural ).
thf(func_def_843,type,
produc6919319362177967663nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > int > option6357759511663192854e_term ) > produc2285326912895808259nt_int > produc7773217078559923341nt_int ).
thf(func_def_844,type,
produc7277921532047535397nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > produc8551481072490612790e_term > option6357759511663192854e_term ) > produc2285326912895808259nt_int > produc2285326912895808259nt_int ).
thf(func_def_845,type,
produc3195571438000033749nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_846,type,
produc8661989277576770216rm_int: ( int > code_integer > option6357759511663192854e_term ) > product_prod_int_int > produc3118880831492415775rm_int ).
thf(func_def_847,type,
produc4559386683668556831nteger: ( int > code_integer > option6357759511663192854e_term ) > produc6162884466328367972nteger > produc8763457246119570046nteger ).
thf(func_def_848,type,
produc2895628470685950711rm_int: ( int > int > option6357759511663192854e_term ) > product_prod_int_int > produc6025053409261769070rm_int ).
thf(func_def_849,type,
produc7862092043137183022nt_int: ( int > int > option6357759511663192854e_term ) > produc759720530913461378nt_int > produc7773217078559923341nt_int ).
thf(func_def_850,type,
produc7344697412356995344rm_int: ( int > produc6241069584506657477e_term > option6357759511663192854e_term ) > product_prod_int_int > produc7172142986261921671rm_int ).
thf(func_def_851,type,
produc5502177047915545527nteger: ( int > produc6241069584506657477e_term > option6357759511663192854e_term ) > produc6162884466328367972nteger > produc1908205239877642774nteger ).
thf(func_def_852,type,
produc8208213926402859781rm_int: ( int > produc4972180933644002618e_term > option6357759511663192854e_term ) > product_prod_int_int > produc8035659500307786108rm_int ).
thf(func_def_853,type,
produc730884686555376024atural: ( int > produc4972180933644002618e_term > option6357759511663192854e_term ) > produc8915214464240719482atural > produc989692990947075319atural ).
thf(func_def_854,type,
produc212012705979908097rm_int: ( int > produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc5577056076408194680rm_int ).
thf(func_def_855,type,
produc9204274687749184420nt_int: ( int > produc8551481072490612790e_term > option6357759511663192854e_term ) > produc759720530913461378nt_int > produc2285326912895808259nt_int ).
thf(func_def_856,type,
produc2355237562570658114nt_int: ( int > int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_857,type,
produc7038194637613762032rm_nat: ( nat > code_integer > option6357759511663192854e_term ) > product_prod_nat_nat > produc7296731851001612483rm_nat ).
thf(func_def_858,type,
produc4152511201693701499nteger: ( nat > code_integer > option6357759511663192854e_term ) > produc5240993858131070144nteger > produc8763457246119570046nteger ).
thf(func_def_859,type,
produc2171444127112709695rm_nat: ( nat > int > option6357759511663192854e_term ) > product_prod_nat_nat > produc979532391916189970rm_nat ).
thf(func_def_860,type,
produc7939104695128876682nt_int: ( nat > int > option6357759511663192854e_term ) > produc6945250483304103390nt_int > produc7773217078559923341nt_int ).
thf(func_def_861,type,
produc283363429515230808rm_nat: ( nat > produc6241069584506657477e_term > option6357759511663192854e_term ) > product_prod_nat_nat > produc2126621968916342571rm_nat ).
thf(func_def_862,type,
produc5633823332008475411nteger: ( nat > produc6241069584506657477e_term > option6357759511663192854e_term ) > produc5240993858131070144nteger > produc1908205239877642774nteger ).
thf(func_def_863,type,
produc1146879943561095245rm_nat: ( nat > produc4972180933644002618e_term > option6357759511663192854e_term ) > product_prod_nat_nat > produc2990138482962207008rm_nat ).
thf(func_def_864,type,
produc862530970648305908atural: ( nat > produc4972180933644002618e_term > option6357759511663192854e_term ) > produc7993323856043421654atural > produc989692990947075319atural ).
thf(func_def_865,type,
produc6559004206596904265rm_nat: ( nat > produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_nat_nat > produc531535059062615580rm_nat ).
thf(func_def_866,type,
produc1174866932575707904nt_int: ( nat > produc8551481072490612790e_term > option6357759511663192854e_term ) > produc6945250483304103390nt_int > produc2285326912895808259nt_int ).
thf(func_def_867,type,
produc986720760941809198at_nat: ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_868,type,
produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_869,type,
produc4463282112584876420nt_int: ( int > int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_870,type,
produc8491535473303802243e_term: ( int > produc8923325533196201883nteger ) > produc3118880831492415775rm_int > produc8763457246119570046nteger ).
thf(func_def_871,type,
produc552091674517523435e_term: ( int > produc8923325533196201883nteger ) > produc7172142986261921671rm_int > produc1908205239877642774nteger ).
thf(func_def_872,type,
produc2935421404040714269er_int: ( int > produc8923325533196201883nteger ) > product_prod_int_int > produc6162884466328367972nteger ).
thf(func_def_873,type,
produc2114408003348798198e_term: ( int > produc7822875418678951345atural ) > produc8035659500307786108rm_int > produc989692990947075319atural ).
thf(func_def_874,type,
produc1633769443012300339al_int: ( int > produc7822875418678951345atural ) > product_prod_int_int > produc8915214464240719482atural ).
thf(func_def_875,type,
produc3260485439724623344e_term: ( int > product_prod_int_int ) > produc6025053409261769070rm_int > produc7773217078559923341nt_int ).
thf(func_def_876,type,
produc189803804368834042e_term: ( int > product_prod_int_int ) > produc5577056076408194680rm_int > produc2285326912895808259nt_int ).
thf(func_def_877,type,
produc6100211334659168315nt_int: ( int > product_prod_int_int ) > product_prod_int_int > produc759720530913461378nt_int ).
thf(func_def_878,type,
produc3094765310956027504at_nat: ( nat > nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_879,type,
produc8084659991328946911e_term: ( nat > produc8923325533196201883nteger ) > produc7296731851001612483rm_nat > produc8763457246119570046nteger ).
thf(func_def_880,type,
produc683737958610453319e_term: ( nat > produc8923325533196201883nteger ) > produc2126621968916342571rm_nat > produc1908205239877642774nteger ).
thf(func_def_881,type,
produc2688509591584439069er_nat: ( nat > produc8923325533196201883nteger ) > product_prod_nat_nat > produc5240993858131070144nteger ).
thf(func_def_882,type,
produc2246054287441728082e_term: ( nat > produc7822875418678951345atural ) > produc2990138482962207008rm_nat > produc989692990947075319atural ).
thf(func_def_883,type,
produc1386857630556025139al_nat: ( nat > produc7822875418678951345atural ) > product_prod_nat_nat > produc7993323856043421654atural ).
thf(func_def_884,type,
produc3337498091716317004e_term: ( nat > product_prod_int_int ) > produc979532391916189970rm_nat > produc7773217078559923341nt_int ).
thf(func_def_885,type,
produc1383768086050133334e_term: ( nat > product_prod_int_int ) > produc531535059062615580rm_nat > produc2285326912895808259nt_int ).
thf(func_def_886,type,
produc4342665141415107387nt_nat: ( nat > product_prod_int_int ) > product_prod_nat_nat > produc6945250483304103390nt_int ).
thf(func_def_887,type,
produc1584323072462815568e_term: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc8763457246119570046nteger > produc8763457246119570046nteger ).
thf(func_def_888,type,
produc717174245515237944e_term: ( produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc1908205239877642774nteger > produc1908205239877642774nteger ).
thf(func_def_889,type,
produc2824789715873180845e_term: ( produc7822875418678951345atural > produc7822875418678951345atural ) > produc989692990947075319atural > produc989692990947075319atural ).
thf(func_def_890,type,
produc7011684061226097695e_term: ( product_prod_int_int > product_prod_int_int ) > produc7773217078559923341nt_int > produc7773217078559923341nt_int ).
thf(func_def_891,type,
produc4973430039190721449e_term: ( product_prod_int_int > product_prod_int_int ) > produc2285326912895808259nt_int > produc2285326912895808259nt_int ).
thf(func_def_892,type,
produc5457605928088077978eger_o: ( produc8763457246119570046nteger > $o ) > ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).
thf(func_def_893,type,
produc9098658269643458507_int_o: ( produc7773217078559923341nt_int > $o ) > ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).
thf(func_def_894,type,
produc1217013493180205570eger_o: ( produc1908205239877642774nteger > $o ) > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).
thf(func_def_895,type,
produc6465694447285001697ural_o: ( produc989692990947075319atural > $o ) > ( produc4972180933644002618e_term > option6357759511663192854e_term ) > produc7822875418678951345atural > $o ).
thf(func_def_896,type,
produc730925184835016917_int_o: ( produc2285326912895808259nt_int > $o ) > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).
thf(func_def_897,type,
produc175634133007206835_int_o: ( product_prod_int_int > $o ) > int > int > $o ).
thf(func_def_898,type,
produc1016772743285680337nt_int: ( product_prod_int_int > int ) > int > int > int ).
thf(func_def_899,type,
produc8249235968001453780nt_int: ( product_prod_int_int > product_prod_int_int ) > int > int > product_prod_int_int ).
thf(func_def_900,type,
produc3704529784387675049_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > nat > nat > product_prod_nat_nat > $o ).
thf(func_def_901,type,
produc3610074571335452306at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > nat > nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_902,type,
produc8005341501107743676_int_o: ( int > int > $o ) > product_prod_int_int > $o ).
thf(func_def_903,type,
produc7926200574084438792nt_int: ( int > int > int ) > product_prod_int_int > int ).
thf(func_def_904,type,
produc297006045350968285nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_905,type,
produc4780622933104268256_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_906,type,
produc1854806715440696265at_nat: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_907,type,
produc127349428274296955eger_o: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8763457246119570046nteger > $o ).
thf(func_def_908,type,
produc3906647086178084059nteger: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ) > produc8763457246119570046nteger > produc8763457246119570046nteger ).
thf(func_def_909,type,
produc8604463032469472703et_int: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > produc8763457246119570046nteger > set_int ).
thf(func_def_910,type,
produc3558942015123893603et_nat: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc8763457246119570046nteger > set_nat ).
thf(func_def_911,type,
produc4656581727815777817et_nat: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_set_nat ) > produc8763457246119570046nteger > set_set_nat ).
thf(func_def_912,type,
produc359452621024150620nt_int: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_se6260736226359567993nt_int ) > produc8763457246119570046nteger > set_se6260736226359567993nt_int ).
thf(func_def_913,type,
produc1954297445647699364at_nat: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_se7855581050983116737at_nat ) > produc8763457246119570046nteger > set_se7855581050983116737at_nat ).
thf(func_def_914,type,
produc2558449545302689196_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > $o ).
thf(func_def_915,type,
produc5122537100556696953nt_int: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ) > produc7773217078559923341nt_int > produc7773217078559923341nt_int ).
thf(func_def_916,type,
produc4111701587417901774et_int: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_int ) > produc7773217078559923341nt_int > set_int ).
thf(func_def_917,type,
produc8289552606927098482et_nat: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > produc7773217078559923341nt_int > set_nat ).
thf(func_def_918,type,
produc3577156405726439208et_nat: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_set_nat ) > produc7773217078559923341nt_int > set_set_nat ).
thf(func_def_919,type,
produc575502675617541261nt_int: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_se6260736226359567993nt_int ) > produc7773217078559923341nt_int > set_se6260736226359567993nt_int ).
thf(func_def_920,type,
produc2170347500241090005at_nat: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_se7855581050983116737at_nat ) > produc7773217078559923341nt_int > set_se7855581050983116737at_nat ).
thf(func_def_921,type,
produc6253627499356882019eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > $o ).
thf(func_def_922,type,
produc6512950862096126219nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ) > produc1908205239877642774nteger > produc1908205239877642774nteger ).
thf(func_def_923,type,
produc2278936416606902338ural_o: ( ( produc4972180933644002618e_term > option6357759511663192854e_term ) > produc7822875418678951345atural > $o ) > produc989692990947075319atural > $o ).
thf(func_def_924,type,
produc1300469243244976333atural: ( ( produc4972180933644002618e_term > option6357759511663192854e_term ) > produc7822875418678951345atural > produc989692990947075319atural ) > produc989692990947075319atural > produc989692990947075319atural ).
thf(func_def_925,type,
produc1573362020775583542_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > $o ).
thf(func_def_926,type,
produc8492565224438309093nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ) > produc2285326912895808259nt_int > produc2285326912895808259nt_int ).
thf(func_def_927,type,
produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).
thf(func_def_928,type,
produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).
thf(func_def_929,type,
produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).
thf(func_def_930,type,
produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).
thf(func_def_931,type,
produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(func_def_932,type,
produc4281629032016041417nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > produc3346328345660746739nteger > produc8923325533196201883nteger ).
thf(func_def_933,type,
produc7488178964372371019it_nat: ( heap_e7401611519738050253t_unit > nat > option8956607266484857688it_nat ) > produc6653097349344004940it_nat > option8956607266484857688it_nat ).
thf(func_def_934,type,
produc5645566021302314940it_nat: ( heap_e7401611519738050253t_unit > nat > option3562590408128118217it_nat ) > produc6653097349344004940it_nat > option3562590408128118217it_nat ).
thf(func_def_935,type,
produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).
thf(func_def_936,type,
produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).
thf(func_def_937,type,
produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
thf(func_def_938,type,
produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(func_def_939,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_940,type,
produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_941,type,
produc1830744345554046123nteger: ( nat > nat > code_integer ) > product_prod_nat_nat > code_integer ).
thf(func_def_942,type,
produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).
thf(func_def_943,type,
produc2761476792215241774st_nat: ( nat > nat > list_nat ) > product_prod_nat_nat > list_nat ).
thf(func_def_944,type,
produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).
thf(func_def_945,type,
produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_946,type,
produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).
thf(func_def_947,type,
produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).
thf(func_def_948,type,
produc6665183775751917029atural: ( pred_Product_unit > produc7822875418678951345atural > produc4675096598859438275atural ) > produc4675096598859438275atural > produc4675096598859438275atural ).
thf(func_def_949,type,
produc9040295013417217025nteger: ( produc8923325533196201883nteger > ( code_integer > option6357759511663192854e_term ) > produc8763457246119570046nteger ) > produc1017113440723519068e_term > produc8763457246119570046nteger ).
thf(func_def_950,type,
produc5068368601420144385nteger: ( produc8923325533196201883nteger > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc1908205239877642774nteger ) > produc998928222018024388e_term > produc1908205239877642774nteger ).
thf(func_def_951,type,
produc868849831700739565atural: ( produc7822875418678951345atural > ( produc4972180933644002618e_term > option6357759511663192854e_term ) > produc989692990947075319atural ) > produc8392782284284844111e_term > produc989692990947075319atural ).
thf(func_def_952,type,
produc3478612561300218621nt_int: ( product_prod_int_int > ( int > option6357759511663192854e_term ) > produc7773217078559923341nt_int ) > produc3832618445565238089e_term > produc7773217078559923341nt_int ).
thf(func_def_953,type,
produc199769199162113789nt_int: ( product_prod_int_int > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > produc2285326912895808259nt_int ) > produc1821397396195235155e_term > produc2285326912895808259nt_int ).
thf(func_def_954,type,
produc4109468873575309990_int_o: ( set_int > set_int > $o ) > produc2115011035271226405et_int > $o ).
thf(func_def_955,type,
produc6247414631856714078_nat_o: ( set_nat > set_nat > $o ) > produc7819656566062154093et_nat > $o ).
thf(func_def_956,type,
produc410239310623530412_nat_o: ( set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ) > produc3843707927480180839at_nat > $o ).
thf(func_def_957,type,
produc5648861294512138360it_nat: ( a > produc6653097349344004940it_nat > option8956607266484857688it_nat ) > produc3260487557148687353it_nat > option8956607266484857688it_nat ).
thf(func_def_958,type,
produc7850007024774191849it_nat: ( a > produc6653097349344004940it_nat > option3562590408128118217it_nat ) > produc3260487557148687353it_nat > option3562590408128118217it_nat ).
thf(func_def_959,type,
produc2702340305111172292nteger: produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).
thf(func_def_960,type,
produc6230002227079971283nt_int: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).
thf(func_def_961,type,
produc7822682618958472924nteger: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).
thf(func_def_962,type,
produc3051390257598303421atural: produc989692990947075319atural > produc4972180933644002618e_term > option6357759511663192854e_term ).
thf(func_def_963,type,
produc6816164490631068361nt_int: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).
thf(func_def_964,type,
produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).
thf(func_def_965,type,
produc1861665112190112313nteger: produc3346328345660746739nteger > code_integer ).
thf(func_def_966,type,
produc2838810277069100634it_nat: produc6653097349344004940it_nat > heap_e7401611519738050253t_unit ).
thf(func_def_967,type,
product_fst_int_int: product_prod_int_int > int ).
thf(func_def_968,type,
product_fst_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_969,type,
produc8030462327630046442e_term: produc1017113440723519068e_term > produc8923325533196201883nteger ).
thf(func_def_970,type,
produc1117956856558811858e_term: produc998928222018024388e_term > produc8923325533196201883nteger ).
thf(func_def_971,type,
produc2680273185390086621e_term: produc8392782284284844111e_term > produc7822875418678951345atural ).
thf(func_def_972,type,
produc217921407547260247e_term: produc3832618445565238089e_term > product_prod_int_int ).
thf(func_def_973,type,
produc6335124012134732001e_term: produc1821397396195235155e_term > product_prod_int_int ).
thf(func_def_974,type,
produc4481111470393856007it_nat: produc3260487557148687353it_nat > a ).
thf(func_def_975,type,
produc6514156286822040066nteger: produc8763457246119570046nteger > produc8923325533196201883nteger ).
thf(func_def_976,type,
produc3162348030201620241nt_int: produc7773217078559923341nt_int > product_prod_int_int ).
thf(func_def_977,type,
produc7856867400915047194nteger: produc1908205239877642774nteger > produc8923325533196201883nteger ).
thf(func_def_978,type,
produc3085575039554877691atural: produc989692990947075319atural > produc7822875418678951345atural ).
thf(func_def_979,type,
produc7328097813583171335nt_int: produc2285326912895808259nt_int > product_prod_int_int ).
thf(func_def_980,type,
produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).
thf(func_def_981,type,
produc7955729907432593271nteger: produc3346328345660746739nteger > produc8923325533196201883nteger ).
thf(func_def_982,type,
produc2594868675584459928it_nat: produc6653097349344004940it_nat > nat ).
thf(func_def_983,type,
product_snd_int_int: product_prod_int_int > int ).
thf(func_def_984,type,
product_snd_nat_nat: product_prod_nat_nat > nat ).
thf(func_def_985,type,
produc2618906272486138408e_term: produc1017113440723519068e_term > code_integer > option6357759511663192854e_term ).
thf(func_def_986,type,
produc1152141638515386128e_term: produc998928222018024388e_term > produc6241069584506657477e_term > option6357759511663192854e_term ).
thf(func_def_987,type,
produc2714457967346660891e_term: produc8392782284284844111e_term > produc4972180933644002618e_term > option6357759511663192854e_term ).
thf(func_def_988,type,
produc6373639247523685013e_term: produc3832618445565238089e_term > int > option6357759511663192854e_term ).
thf(func_def_989,type,
produc6847057335086834975e_term: produc1821397396195235155e_term > produc8551481072490612790e_term > option6357759511663192854e_term ).
thf(func_def_990,type,
produc6461318759014699077it_nat: produc3260487557148687353it_nat > produc6653097349344004940it_nat ).
thf(func_def_991,type,
quotie6776551016481293500at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int ) > ( int > product_prod_nat_nat ) > $o ).
thf(func_def_992,type,
quot_a8334514980957697477at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( set_Pr1261947904930325089at_nat > int ) > product_prod_nat_nat > int ).
thf(func_def_993,type,
quot_r1512469584000298464at_nat: ( int > set_Pr1261947904930325089at_nat ) > int > product_prod_nat_nat ).
thf(func_def_994,type,
log: code_natural > code_natural > code_natural ).
thf(func_def_995,type,
log_rel: produc7822875418678951345atural > produc7822875418678951345atural > $o ).
thf(func_def_996,type,
random6974930770145893639ompred: ( produc7822875418678951345atural > produc4675096598859438275atural ) > produc7822875418678951345atural > produc4675096598859438275atural ).
thf(func_def_997,type,
abs_Rat: product_prod_int_int > rat ).
thf(func_def_998,type,
fract: int > int > rat ).
thf(func_def_999,type,
frct: product_prod_int_int > rat ).
thf(func_def_1000,type,
rep_Rat: rat > product_prod_int_int ).
thf(func_def_1001,type,
cr_rat: product_prod_int_int > rat > $o ).
thf(func_def_1002,type,
normalize: product_prod_int_int > product_prod_int_int ).
thf(func_def_1003,type,
of_int: int > rat ).
thf(func_def_1004,type,
pcr_rat: product_prod_int_int > rat > $o ).
thf(func_def_1005,type,
positive: rat > $o ).
thf(func_def_1006,type,
quotient_of: rat > product_prod_int_int ).
thf(func_def_1007,type,
abs_rat: set_Pr958786334691620121nt_int > rat ).
thf(func_def_1008,type,
rep_rat: rat > set_Pr958786334691620121nt_int ).
thf(func_def_1009,type,
ratrel: product_prod_int_int > product_prod_int_int > $o ).
thf(func_def_1010,type,
domainp_int_int: ( int > int > $o ) > int > $o ).
thf(func_def_1011,type,
domain7888411570377768909iteral: ( list_char > literal > $o ) > list_char > $o ).
thf(func_def_1012,type,
domainp_nat_nat: ( nat > nat > $o ) > nat > $o ).
thf(func_def_1013,type,
domain9213661015745956397nt_rat: ( product_prod_int_int > rat > $o ) > product_prod_int_int > $o ).
thf(func_def_1014,type,
domain7287725470393535433at_int: ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat > $o ).
thf(func_def_1015,type,
domainp_char_char: ( char > char > $o ) > char > $o ).
thf(func_def_1016,type,
field_o: set_Product_prod_o_o > set_o ).
thf(func_def_1017,type,
field_nat: set_Pr1261947904930325089at_nat > set_nat ).
thf(func_def_1018,type,
relcom8911704206367525917at_int: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > int > $o ) > product_prod_nat_nat > int > $o ).
thf(func_def_1019,type,
algebr932160517623751201me_int: int > int > $o ).
thf(func_def_1020,type,
algebr934650988132801477me_nat: nat > nat > $o ).
thf(func_def_1021,type,
divide6298287555418463151nteger: code_integer > code_integer > code_integer ).
thf(func_def_1022,type,
divide5121882707175180666atural: code_natural > code_natural > code_natural ).
thf(func_def_1023,type,
divide_divide_int: int > int > int ).
thf(func_def_1024,type,
divide_divide_nat: nat > nat > nat ).
thf(func_def_1025,type,
divide_divide_rat: rat > rat > rat ).
thf(func_def_1026,type,
dvd_dvd_Code_integer: code_integer > code_integer > $o ).
thf(func_def_1027,type,
dvd_dvd_Code_natural: code_natural > code_natural > $o ).
thf(func_def_1028,type,
dvd_dvd_int: int > int > $o ).
thf(func_def_1029,type,
dvd_dvd_nat: nat > nat > $o ).
thf(func_def_1030,type,
dvd_dvd_rat: rat > rat > $o ).
thf(func_def_1031,type,
modulo364778990260209775nteger: code_integer > code_integer > code_integer ).
thf(func_def_1032,type,
modulo8411746178871703098atural: code_natural > code_natural > code_natural ).
thf(func_def_1033,type,
modulo_modulo_int: int > int > int ).
thf(func_def_1034,type,
modulo_modulo_nat: nat > nat > nat ).
thf(func_def_1035,type,
unit_f2748546683901255202or_nat: nat > nat ).
thf(func_def_1036,type,
zero_n356916108424825756nteger: $o > code_integer ).
thf(func_def_1037,type,
zero_n8403883297036319079atural: $o > code_natural ).
thf(func_def_1038,type,
zero_n2684676970156552555ol_int: $o > int ).
thf(func_def_1039,type,
zero_n2687167440665602831ol_nat: $o > nat ).
thf(func_def_1040,type,
zero_n2052037380579107095ol_rat: $o > rat ).
thf(func_def_1041,type,
collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).
thf(func_def_1042,type,
collect_int: ( int > $o ) > set_int ).
thf(func_def_1043,type,
collect_list_int: ( list_int > $o ) > set_list_int ).
thf(func_def_1044,type,
collec5989764272469232197st_nat: ( list_list_nat > $o ) > set_list_list_nat ).
thf(func_def_1045,type,
collect_list_nat: ( list_nat > $o ) > set_list_nat ).
thf(func_def_1046,type,
collec3343600615725829874at_nat: ( list_P6011104703257516679at_nat > $o ) > set_li5450038453877631591at_nat ).
thf(func_def_1047,type,
collec4736972532740828926t_unit: ( list_Product_unit > $o ) > set_li873732205721079667t_unit ).
thf(func_def_1048,type,
collect_list_set_nat: ( list_set_nat > $o ) > set_list_set_nat ).
thf(func_def_1049,type,
collect_list_char: ( list_char > $o ) > set_list_char ).
thf(func_def_1050,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_1051,type,
collect_num: ( num > $o ) > set_num ).
thf(func_def_1052,type,
collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).
thf(func_def_1053,type,
collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(func_def_1054,type,
collec957716948307931664et_int: ( produc2115011035271226405et_int > $o ) > set_Pr2522554150109002629et_int ).
thf(func_def_1055,type,
collec6662362479098859352et_nat: ( produc7819656566062154093et_nat > $o ) > set_Pr5488025237498180813et_nat ).
thf(func_def_1056,type,
collec6321179662152712658at_nat: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ).
thf(func_def_1057,type,
collect_Product_unit: ( product_unit > $o ) > set_Product_unit ).
thf(func_def_1058,type,
collect_rat: ( rat > $o ) > set_rat ).
thf(func_def_1059,type,
collect_set_int: ( set_int > $o ) > set_set_int ).
thf(func_def_1060,type,
collect_set_list_nat: ( set_list_nat > $o ) > set_set_list_nat ).
thf(func_def_1061,type,
collect_set_nat: ( set_nat > $o ) > set_set_nat ).
thf(func_def_1062,type,
collec5210948495886036740nt_int: ( set_Pr958786334691620121nt_int > $o ) > set_se6260736226359567993nt_int ).
thf(func_def_1063,type,
collec5514110066124741708at_nat: ( set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat ).
thf(func_def_1064,type,
collec7787489603430924120t_unit: ( set_Product_unit > $o ) > set_set_Product_unit ).
thf(func_def_1065,type,
collect_set_set_nat: ( set_set_nat > $o ) > set_set_set_nat ).
thf(func_def_1066,type,
collect_literal: ( literal > $o ) > set_literal ).
thf(func_def_1067,type,
pow_nat: set_nat > set_set_nat ).
thf(func_def_1068,type,
image_int_int: ( int > int ) > set_int > set_int ).
thf(func_def_1069,type,
image_int_nat: ( int > nat ) > set_int > set_nat ).
thf(func_def_1070,type,
image_nat_int: ( nat > int ) > set_nat > set_int ).
thf(func_def_1071,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_1072,type,
image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).
thf(func_def_1073,type,
image_nat_char: ( nat > char ) > set_nat > set_char ).
thf(func_def_1074,type,
image_char_nat: ( char > nat ) > set_char > set_nat ).
thf(func_def_1075,type,
insert_int: int > set_int > set_int ).
thf(func_def_1076,type,
insert_list_nat: list_nat > set_list_nat > set_list_nat ).
thf(func_def_1077,type,
insert_nat: nat > set_nat > set_nat ).
thf(func_def_1078,type,
insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1079,type,
insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1080,type,
insert_Product_unit: product_unit > set_Product_unit > set_Product_unit ).
thf(func_def_1081,type,
insert_set_nat: set_nat > set_set_nat > set_set_nat ).
thf(func_def_1082,type,
insert8897473484851387113nt_int: set_Pr958786334691620121nt_int > set_se6260736226359567993nt_int > set_se6260736226359567993nt_int ).
thf(func_def_1083,type,
insert9200635055090092081at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat ).
thf(func_def_1084,type,
vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_1085,type,
set_fo1084959871951514735nteger: ( nat > code_integer > code_integer ) > nat > nat > code_integer > code_integer ).
thf(func_def_1086,type,
set_fo9131927060563008058atural: ( nat > code_natural > code_natural ) > nat > nat > code_natural > code_natural ).
thf(func_def_1087,type,
set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).
thf(func_def_1088,type,
set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).
thf(func_def_1089,type,
set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).
thf(func_def_1090,type,
set_fo3699595496184130361el_nat: produc4471711990508489141at_nat > produc4471711990508489141at_nat > $o ).
thf(func_def_1091,type,
set_or1266510415728281911st_int: int > int > set_int ).
thf(func_def_1092,type,
set_or1269000886237332187st_nat: nat > nat > set_nat ).
thf(func_def_1093,type,
set_or4662586982721622107an_int: int > int > set_int ).
thf(func_def_1094,type,
set_or4665077453230672383an_nat: nat > nat > set_nat ).
thf(func_def_1095,type,
set_ord_atLeast_nat: nat > set_nat ).
thf(func_def_1096,type,
set_ord_atMost_int: int > set_int ).
thf(func_def_1097,type,
set_ord_atMost_nat: nat > set_nat ).
thf(func_def_1098,type,
set_ord_atMost_num: num > set_num ).
thf(func_def_1099,type,
set_ord_atMost_rat: rat > set_rat ).
thf(func_def_1100,type,
set_or4236626031148496127et_nat: set_nat > set_set_nat ).
thf(func_def_1101,type,
set_or2459421552957432928nt_int: set_Pr958786334691620121nt_int > set_se6260736226359567993nt_int ).
thf(func_def_1102,type,
set_or2762583123196137896at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).
thf(func_def_1103,type,
set_or6659071591806873216st_nat: nat > nat > set_nat ).
thf(func_def_1104,type,
set_or5834768355832116004an_nat: nat > nat > set_nat ).
thf(func_def_1105,type,
set_or1210151606488870762an_nat: nat > set_nat ).
thf(func_def_1106,type,
set_ord_lessThan_int: int > set_int ).
thf(func_def_1107,type,
set_ord_lessThan_nat: nat > set_nat ).
thf(func_def_1108,type,
set_ord_lessThan_num: num > set_num ).
thf(func_def_1109,type,
set_ord_lessThan_rat: rat > set_rat ).
thf(func_def_1110,type,
set_or890127255671739683et_nat: set_nat > set_set_nat ).
thf(func_def_1111,type,
set_or4940836740269066044nt_int: set_Pr958786334691620121nt_int > set_se6260736226359567993nt_int ).
thf(func_def_1112,type,
set_or5243998310507771012at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat ).
thf(func_def_1113,type,
set_or2436086697161274615iteral: literal > set_literal ).
thf(func_def_1114,type,
literal2: $o > $o > $o > $o > $o > $o > $o > literal > literal ).
thf(func_def_1115,type,
ascii_of: char > char ).
thf(func_def_1116,type,
asciis_of_literal: literal > list_Code_integer ).
thf(func_def_1117,type,
char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).
thf(func_def_1118,type,
case_char_o: ( $o > $o > $o > $o > $o > $o > $o > $o > $o ) > char > $o ).
thf(func_def_1119,type,
case_char_literal: ( $o > $o > $o > $o > $o > $o > $o > $o > literal ) > char > literal ).
thf(func_def_1120,type,
digit0: char > $o ).
thf(func_def_1121,type,
digit1: char > $o ).
thf(func_def_1122,type,
digit2: char > $o ).
thf(func_def_1123,type,
digit3: char > $o ).
thf(func_def_1124,type,
digit4: char > $o ).
thf(func_def_1125,type,
digit5: char > $o ).
thf(func_def_1126,type,
digit6: char > $o ).
thf(func_def_1127,type,
digit7: char > $o ).
thf(func_def_1128,type,
size_char: char > nat ).
thf(func_def_1129,type,
comm_s4049598766089966537nteger: char > code_integer ).
thf(func_def_1130,type,
comm_s629917340098488124ar_nat: char > nat ).
thf(func_def_1131,type,
cr_literal: list_char > literal > $o ).
thf(func_def_1132,type,
abs_literal: list_char > literal ).
thf(func_def_1133,type,
explode: literal > list_char ).
thf(func_def_1134,type,
literal_of_asciis: list_Code_integer > literal ).
thf(func_def_1135,type,
pcr_literal: list_char > literal > $o ).
thf(func_def_1136,type,
unique1708501630192214702nteger: code_integer > char ).
thf(func_def_1137,type,
unique3096191561947761185of_nat: nat > char ).
thf(func_def_1138,type,
sum_ca7763040182479039464nt_nat: ( nat > int ) > ( nat > int ) > sum_sum_nat_nat > int ).
thf(func_def_1139,type,
sum_ca6763686470577984908at_nat: ( nat > nat ) > ( nat > nat ) > sum_sum_nat_nat > nat ).
thf(func_def_1140,type,
bi_tot896582865486249351at_int: ( product_prod_nat_nat > int > $o ) > $o ).
thf(func_def_1141,type,
left_t8440299596084406506t_char: ( list_char > list_char > $o ) > $o ).
thf(func_def_1142,type,
left_t3131394472396969446nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > $o ).
thf(func_def_1143,type,
left_t1861001511420785031at_int: ( product_prod_nat_nat > int > $o ) > $o ).
thf(func_def_1144,type,
right_1157779049177982926at_int: ( product_prod_nat_nat > int > $o ) > $o ).
thf(func_def_1145,type,
transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1146,type,
transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(func_def_1147,type,
transi2163837189807498211lp_nat: ( nat > nat > $o ) > nat > nat > $o ).
thf(func_def_1148,type,
type_d8752208705193531015at_nat: ( int > set_Pr1261947904930325089at_nat ) > ( set_Pr1261947904930325089at_nat > int ) > set_se7855581050983116737at_nat > $o ).
thf(func_def_1149,type,
type_d8554052265237484179nt_int: ( rat > set_Pr958786334691620121nt_int ) > ( set_Pr958786334691620121nt_int > rat ) > set_se6260736226359567993nt_int > $o ).
thf(func_def_1150,type,
type_d4752411451802217481t_char: ( literal > list_char ) > ( list_char > literal ) > set_list_char > $o ).
thf(func_def_1151,type,
typerep2: literal > list_typerep > typerep ).
thf(func_def_1152,type,
size_typerep: typerep > nat ).
thf(func_def_1153,type,
accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).
thf(func_def_1154,type,
accp_nat: ( nat > nat > $o ) > nat > $o ).
thf(func_def_1155,type,
accp_P6019419558468335806at_nat: ( produc4471711990508489141at_nat > produc4471711990508489141at_nat > $o ) > produc4471711990508489141at_nat > $o ).
thf(func_def_1156,type,
accp_P8126237942716283194atural: ( produc7822875418678951345atural > produc7822875418678951345atural > $o ) > produc7822875418678951345atural > $o ).
thf(func_def_1157,type,
accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).
thf(func_def_1158,type,
accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_1159,type,
accp_P414730952086964626it_nat: ( produc3911288613690379145it_nat > produc3911288613690379145it_nat > $o ) > produc3911288613690379145it_nat > $o ).
thf(func_def_1160,type,
accp_P6263092265436569219it_nat: ( produc4453839368661128058it_nat > produc4453839368661128058it_nat > $o ) > produc4453839368661128058it_nat > $o ).
thf(func_def_1161,type,
finite_psubset_int: set_Pr2522554150109002629et_int ).
thf(func_def_1162,type,
finite_psubset_nat: set_Pr5488025237498180813et_nat ).
thf(func_def_1163,type,
finite469560695537375940at_nat: set_Pr4329608150637261639at_nat ).
thf(func_def_1164,type,
less_than: set_Pr1261947904930325089at_nat ).
thf(func_def_1165,type,
max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1166,type,
min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).
thf(func_def_1167,type,
pred_nat: set_Pr1261947904930325089at_nat ).
thf(func_def_1168,type,
wf_int: set_Pr958786334691620121nt_int > $o ).
thf(func_def_1169,type,
wf_nat: set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1170,type,
member_Code_integer: code_integer > set_Code_integer > $o ).
thf(func_def_1171,type,
member_Code_natural: code_natural > set_Code_natural > $o ).
thf(func_def_1172,type,
member_int: int > set_int > $o ).
thf(func_def_1173,type,
member_list_nat: list_nat > set_list_nat > $o ).
thf(func_def_1174,type,
member_list_char: list_char > set_list_char > $o ).
thf(func_def_1175,type,
member_nat: nat > set_nat > $o ).
thf(func_def_1176,type,
member3068662437193594005nteger: produc8763457246119570046nteger > set_Pr8056137968301705908nteger > $o ).
thf(func_def_1177,type,
member7034335876925520548nt_int: produc7773217078559923341nt_int > set_Pr1872883991513573699nt_int > $o ).
thf(func_def_1178,type,
member4164122664394876845nteger: produc1908205239877642774nteger > set_Pr1281608226676607948nteger > $o ).
thf(func_def_1179,type,
member3245610415464309390atural: produc989692990947075319atural > set_Pr4244404650639074861atural > $o ).
thf(func_def_1180,type,
member7618704894036264090nt_int: produc2285326912895808259nt_int > set_Pr9222295170931077689nt_int > $o ).
thf(func_def_1181,type,
member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).
thf(func_def_1182,type,
member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).
thf(func_def_1183,type,
member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).
thf(func_def_1184,type,
member2572552093476627150et_int: produc2115011035271226405et_int > set_Pr2522554150109002629et_int > $o ).
thf(func_def_1185,type,
member8277197624267554838et_nat: produc7819656566062154093et_nat > set_Pr5488025237498180813et_nat > $o ).
thf(func_def_1186,type,
member444158400953824016od_o_o: produc2934264451710624999od_o_o > set_Pr1932065953672099015od_o_o > $o ).
thf(func_def_1187,type,
member4095101504841534314at_nat: produc732395585841259969at_nat > set_Pr457366540195662369at_nat > $o ).
thf(func_def_1188,type,
member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o ).
thf(func_def_1189,type,
member_Product_unit: product_unit > set_Product_unit > $o ).
thf(func_def_1190,type,
member_rat: rat > set_rat > $o ).
thf(func_def_1191,type,
member_set_nat: set_nat > set_set_nat > $o ).
thf(func_def_1192,type,
member2340774599025711042nt_int: set_Pr958786334691620121nt_int > set_se6260736226359567993nt_int > $o ).
thf(func_def_1193,type,
member2643936169264416010at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > $o ).
thf(func_def_1194,type,
member_char: char > set_char > $o ).
thf(func_def_1195,type,
p: a > $o ).
thf(func_def_1196,type,
h: heap_e7401611519738050253t_unit ).
thf(func_def_1197,type,
x: a ).
thf(func_def_1201,type,
vAND: $o > $o > $o ).
thf(func_def_1202,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_1203,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_1204,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_1205,type,
vNOT: $o > $o ).
thf(func_def_1206,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_1207,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_1208,type,
vOR: $o > $o > $o ).
thf(func_def_1209,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_1210,type,
vIMP: $o > $o > $o ).
thf(func_def_1211,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_1212,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_1213,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_1214,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_1215,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_1216,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_1217,type,
sK0: ( nat > nat > $o ) > nat ).
thf(func_def_1218,type,
sK1: ( nat > nat > $o ) > nat ).
thf(func_def_1219,type,
sK2: ( nat > nat > $o ) > nat ).
thf(func_def_1220,type,
sK3: ( nat > nat > $o ) > nat ).
thf(func_def_1221,type,
sK4: option3562590408128118217it_nat > produc3260487557148687353it_nat ).
thf(func_def_1222,type,
sK5: nat > nat > nat ).
thf(func_def_1223,type,
sK6: option3562590408128118217it_nat > ( option3562590408128118217it_nat > option_num > $o ) > option_num > num ).
thf(func_def_1224,type,
sK7: option3562590408128118217it_nat > ( option3562590408128118217it_nat > option_num > $o ) > option_num > produc3260487557148687353it_nat ).
thf(func_def_1225,type,
sK8: ( nat > $o ) > nat ).
thf(func_def_1226,type,
sK9: ( nat > $o ) > nat > nat > nat ).
thf(func_def_1227,type,
sK10: nat > nat > ( nat > $o ) > nat ).
thf(func_def_1228,type,
sK11: nat > nat > nat ).
thf(func_def_1229,type,
sK12: ( nat > $o ) > nat ).
thf(func_def_1230,type,
sK13: nat > nat > nat ).
thf(func_def_1231,type,
sK14: nat > nat > nat ).
thf(func_def_1232,type,
sK15: ( nat > $o ) > nat ).
thf(func_def_1233,type,
sK16: ( nat > nat > $o ) > nat ).
thf(func_def_1234,type,
sK17: ( nat > nat > $o ) > nat ).
thf(func_def_1235,type,
sK18: ( nat > nat > $o ) > nat ).
thf(func_def_1236,type,
sK19: ( nat > nat > $o ) > nat ).
thf(func_def_1237,type,
sK20: ( nat > nat > $o ) > nat ).
thf(func_def_1238,type,
sK21: option3562590408128118217it_nat > ( option_num > option3562590408128118217it_nat > $o ) > option_num > num ).
thf(func_def_1239,type,
sK22: option3562590408128118217it_nat > ( option_num > option3562590408128118217it_nat > $o ) > option_num > produc3260487557148687353it_nat ).
thf(func_def_1240,type,
sK23: nat > nat > nat ).
thf(func_def_1241,type,
sK24: nat > nat ).
thf(func_def_1242,type,
sK25: ( nat > $o ) > nat > nat ).
thf(func_def_1243,type,
sK26: ( nat > $o ) > nat > nat ).
thf(func_def_1244,type,
sK27: nat > nat ).
thf(func_def_1245,type,
sK28: nat > nat > nat ).
thf(func_def_1246,type,
sK29: nat > nat > nat ).
thf(func_def_1247,type,
sK30: nat > nat > nat ).
thf(func_def_1248,type,
sK31: nat > nat > nat ).
thf(func_def_1249,type,
sK32: heap_e7401611519738050253t_unit > heap_Time_Heap_a > produc6653097349344004940it_nat ).
thf(func_def_1250,type,
sK33: heap_e7401611519738050253t_unit > heap_Time_Heap_a > a ).
thf(func_def_1251,type,
sK34: nat > ( nat > $o ) > nat ).
thf(func_def_1252,type,
sK35: nat > nat > nat ).
thf(func_def_1253,type,
sK36: heap_Time_Heap_a > heap_e7401611519738050253t_unit > a ).
thf(func_def_1254,type,
sK37: heap_Time_Heap_a > heap_e7401611519738050253t_unit > produc6653097349344004940it_nat ).
thf(func_def_1255,type,
sK38: nat > nat > nat ).
thf(func_def_1256,type,
sK39: nat > nat ).
thf(func_def_1257,type,
sK40: option_num > num ).
thf(func_def_1258,type,
sK41: option3562590408128118217it_nat > ( option3562590408128118217it_nat > option3562590408128118217it_nat > $o ) > option3562590408128118217it_nat > produc3260487557148687353it_nat ).
thf(func_def_1259,type,
sK42: option3562590408128118217it_nat > ( option3562590408128118217it_nat > option3562590408128118217it_nat > $o ) > option3562590408128118217it_nat > produc3260487557148687353it_nat ).
thf(func_def_1260,type,
sK43: ( nat > nat ) > nat ).
thf(func_def_1261,type,
sK44: ( nat > nat ) > nat ).
thf(func_def_1262,type,
sK45: ( nat > $o ) > nat ).
thf(func_def_1263,type,
sK46: nat > nat > nat ).
thf(func_def_1264,type,
sK47: ( nat > $o ) > nat ).
thf(func_def_1265,type,
sK48: nat > ( nat > $o ) > nat ).
thf(func_def_1266,type,
sK49: ( nat > $o ) > nat ).
thf(func_def_1267,type,
sK50: nat > nat ).
thf(func_def_1268,type,
sK51: ( nat > $o ) > nat ).
thf(func_def_1269,type,
sK52: option3562590408128118217it_nat > produc3260487557148687353it_nat ).
thf(func_def_1270,type,
sK53: ( nat > $o ) > nat > nat ).
thf(func_def_1271,type,
sK54: ( nat > $o ) > nat > nat ).
thf(func_def_1272,type,
sK55: heap_Time_Heap_a > heap_Time_Heap_a > heap_e7401611519738050253t_unit ).
thf(func_def_1273,type,
sK56: ( nat > $o ) > nat ).
thf(func_def_1274,type,
sK57: ( nat > $o ) > nat > nat ).
thf(func_def_1275,type,
sK58: nat > ( nat > $o ) > nat ).
thf(func_def_1276,type,
sK59: nat > ( nat > $o ) > nat ).
thf(func_def_1277,type,
sK60: nat > nat > nat ).
thf(func_def_1278,type,
sK61: nat > nat > nat ).
thf(func_def_1279,type,
sK62: nat > nat > nat ).
thf(func_def_1280,type,
sK63: ( nat > nat ) > nat ).
thf(func_def_1281,type,
sK64: ( nat > nat ) > nat ).
thf(func_def_1282,type,
sK65: ( nat > nat > $o ) > nat ).
thf(func_def_1283,type,
sK66: ( nat > nat > $o ) > nat ).
thf(func_def_1284,type,
sK67: ( nat > nat > $o ) > nat ).
thf(func_def_1285,type,
sK68: ( nat > nat > $o ) > nat ).
thf(func_def_1286,type,
sK69: ( nat > nat > $o ) > nat ).
thf(func_def_1287,type,
sK70: nat > nat ).
thf(func_def_1288,type,
sK71: ( nat > nat ) > nat ).
thf(func_def_1289,type,
sK72: option_num > option_num > ( option_num > option_num > $o ) > num ).
thf(func_def_1290,type,
sK73: option_num > option_num > ( option_num > option_num > $o ) > num ).
thf(func_def_1291,type,
sK74: nat > ( nat > $o ) > nat ).
thf(func_def_1292,type,
sK75: nat > ( nat > $o ) > nat ).
thf(func_def_1293,type,
sK76: heap_Time_Heap_a > heap_e7401611519738050253t_unit > nat ).
thf(func_def_1294,type,
sK77: heap_Time_Heap_a > heap_e7401611519738050253t_unit > a ).
thf(func_def_1295,type,
sK78: heap_Time_Heap_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ).
thf(func_def_1296,type,
sK79: nat > nat > nat > nat ).
thf(func_def_1297,type,
sK80: nat > nat > nat > nat ).
thf(func_def_1298,type,
sK81: nat > ( nat > $o ) > nat ).
thf(func_def_1299,type,
sK82: nat > ( nat > $o ) > nat ).
thf(func_def_1300,type,
sK83: option_num > num ).
thf(func_def_1301,type,
sK84: nat > nat > nat ).
thf(func_def_1302,type,
sK85: nat > nat > nat ).
thf(func_def_1303,type,
sK86: nat > nat > nat ).
thf(func_def_1304,type,
sK87: nat > nat > nat ).
thf(func_def_1305,type,
sK88: ( nat > $o ) > nat ).
thf(func_def_1306,type,
sK89: ( nat > nat ) > nat ).
thf(func_def_1307,type,
sK90: nat > nat > nat ).
thf(func_def_1308,type,
sK91: nat > nat > nat > nat ).
thf(func_def_1309,type,
sK92: nat > nat > nat > nat ).
thf(func_def_1310,type,
sK93: option_num > num ).
thf(func_def_1311,type,
sK94: ( nat > nat ) > nat ).
thf(func_def_1312,type,
sK95: ( nat > $o ) > nat ).
thf(func_def_1313,type,
sK96: option3562590408128118217it_nat > produc3260487557148687353it_nat ).
thf(func_def_1314,type,
sK97: nat > nat ).
thf(func_def_1315,type,
sK98: nat > nat > nat ).
thf(func_def_1316,type,
sK99: ( nat > $o ) > nat > nat ).
thf(func_def_1317,type,
sK100: ( nat > $o ) > nat ).
thf(func_def_1318,type,
sK101: ( nat > $o ) > nat ).
thf(func_def_1319,type,
sK102: ( nat > $o ) > nat ).
thf(func_def_1320,type,
sK103: nat > nat > nat ).
thf(func_def_1321,type,
sK104: ( nat > nat ) > nat ).
thf(func_def_1322,type,
sK105: nat > nat > nat ).
thf(func_def_1323,type,
sK106: nat > nat > nat ).
thf(func_def_1324,type,
sK107: nat > nat ).
thf(func_def_1325,type,
sK108: nat > nat > ( nat > $o ) > nat ).
thf(func_def_1326,type,
sK109: ( nat > nat > $o ) > nat ).
thf(func_def_1327,type,
sK110: ( nat > nat > $o ) > nat ).
thf(func_def_1328,type,
sK111: ( nat > nat > $o ) > nat ).
thf(func_def_1329,type,
sK112: ( nat > nat > $o ) > nat ).
thf(func_def_1330,type,
sK113: nat > nat > nat > nat ).
thf(func_def_1331,type,
sK114: nat > nat > nat > nat ).
thf(func_def_1332,type,
sK115: ( nat > $o ) > nat > nat ).
thf(func_def_1333,type,
sK116: ( nat > $o ) > nat > nat ).
thf(func_def_1334,type,
sK117: ( nat > $o ) > nat > nat > nat ).
thf(func_def_1335,type,
sK118: nat > nat > nat ).
thf(f11,axiom,
! [X0: heap_Time_Heap_a,X1: heap_e7401611519738050253t_unit] :
( ( ( heap_Time_execute_a @ X0 @ X1 )
!= none_P2651198173097904984it_nat )
=> ( heap_Time_success_a @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_successI) ).
thf(f77,axiom,
! [X0: produc3260487557148687353it_nat] :
( none_P2651198173097904984it_nat
!= ( some_P7913643980934408916it_nat @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_option_Odistinct_I1_J) ).
thf(f351,axiom,
! [X0: a > $o,X1: a,X2: heap_e7401611519738050253t_unit] :
( ( X0 @ X1 )
=> ( ( heap_Time_execute_a @ ( heap_Time_assert_a @ X0 @ X1 ) @ X2 )
= ( some_P7913643980934408916it_nat @ ( produc9178034014595674355it_nat @ X1 @ ( produc584006145561248582it_nat @ X2 @ one_one_nat ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_350_execute__assert_I1_J) ).
thf(f8173,axiom,
p @ x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f8174,conjecture,
heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f8175,negated_conjecture,
~ ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h ),
inference(negated_conjecture,[status(cth)],[f8174]) ).
thf(f9471,plain,
! [X0: a > $o,X1: a,X2: heap_e7401611519738050253t_unit] :
( ( X0 @ X1 )
=> ( ( heap_Time_execute_a @ ( heap_Time_assert_a @ X0 @ X1 ) @ X2 )
= ( some_P7913643980934408916it_nat @ ( produc9178034014595674355it_nat @ X1 @ ( produc584006145561248582it_nat @ X2 @ one_one_nat ) ) ) ) ),
inference(rectify,[],[f351]) ).
thf(f9472,plain,
! [X0: a > $o,X1: a,X2: heap_e7401611519738050253t_unit] :
( ( ( X0 @ X1 )
= $true )
=> ( ( heap_Time_execute_a @ ( heap_Time_assert_a @ X0 @ X1 ) @ X2 )
= ( some_P7913643980934408916it_nat @ ( produc9178034014595674355it_nat @ X1 @ ( produc584006145561248582it_nat @ X2 @ one_one_nat ) ) ) ) ),
inference(fool_elimination,[],[f9471]) ).
thf(f9739,plain,
~ ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h ),
inference(rectify,[],[f8175]) ).
thf(f9740,plain,
( ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h )
!= $true ),
inference(fool_elimination,[],[f9739]) ).
thf(f11933,plain,
! [X0: produc3260487557148687353it_nat] :
( none_P2651198173097904984it_nat
!= ( some_P7913643980934408916it_nat @ X0 ) ),
inference(fool_elimination,[],[f77]) ).
thf(f15238,plain,
! [X0: heap_Time_Heap_a,X1: heap_e7401611519738050253t_unit] :
( ( ( heap_Time_execute_a @ X0 @ X1 )
!= none_P2651198173097904984it_nat )
=> ( heap_Time_success_a @ X0 @ X1 ) ),
inference(rectify,[],[f11]) ).
thf(f15239,plain,
! [X0: heap_Time_Heap_a,X1: heap_e7401611519738050253t_unit] :
( ( none_P2651198173097904984it_nat
!= ( heap_Time_execute_a @ X0 @ X1 ) )
=> ( ( heap_Time_success_a @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f15238]) ).
thf(f17364,plain,
p @ x,
inference(rectify,[],[f8173]) ).
thf(f17365,plain,
( ( p @ x )
= $true ),
inference(fool_elimination,[],[f17364]) ).
thf(f22138,plain,
( ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h )
!= $true ),
inference(flattening,[],[f9740]) ).
thf(f22368,plain,
! [X1: heap_e7401611519738050253t_unit,X0: heap_Time_Heap_a] :
( ( ( heap_Time_success_a @ X0 @ X1 )
= $true )
| ( none_P2651198173097904984it_nat
= ( heap_Time_execute_a @ X0 @ X1 ) ) ),
inference(ennf_transformation,[],[f15239]) ).
thf(f22432,plain,
! [X0: a > $o,X2: heap_e7401611519738050253t_unit,X1: a] :
( ( ( X0 @ X1 )
!= $true )
| ( ( heap_Time_execute_a @ ( heap_Time_assert_a @ X0 @ X1 ) @ X2 )
= ( some_P7913643980934408916it_nat @ ( produc9178034014595674355it_nat @ X1 @ ( produc584006145561248582it_nat @ X2 @ one_one_nat ) ) ) ) ),
inference(ennf_transformation,[],[f9472]) ).
thf(f22761,plain,
! [X0: heap_e7401611519738050253t_unit,X1: heap_Time_Heap_a] :
( ( $true
= ( heap_Time_success_a @ X1 @ X0 ) )
| ( none_P2651198173097904984it_nat
= ( heap_Time_execute_a @ X1 @ X0 ) ) ),
inference(rectify,[],[f22368]) ).
thf(f22956,plain,
! [X0: a > $o,X1: heap_e7401611519738050253t_unit,X2: a] :
( ( $true
!= ( X0 @ X2 ) )
| ( ( heap_Time_execute_a @ ( heap_Time_assert_a @ X0 @ X2 ) @ X1 )
= ( some_P7913643980934408916it_nat @ ( produc9178034014595674355it_nat @ X2 @ ( produc584006145561248582it_nat @ X1 @ one_one_nat ) ) ) ) ),
inference(rectify,[],[f22432]) ).
thf(f23325,plain,
! [X0: produc3260487557148687353it_nat] :
( none_P2651198173097904984it_nat
!= ( some_P7913643980934408916it_nat @ X0 ) ),
inference(cnf_transformation,[],[f11933]) ).
thf(f23390,plain,
! [X0: heap_e7401611519738050253t_unit,X1: heap_Time_Heap_a] :
( ( $true
= ( heap_Time_success_a @ X1 @ X0 ) )
| ( none_P2651198173097904984it_nat
= ( heap_Time_execute_a @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f22761]) ).
thf(f23688,plain,
! [X2: a,X0: a > $o,X1: heap_e7401611519738050253t_unit] :
( ( $true
!= ( X0 @ X2 ) )
| ( ( heap_Time_execute_a @ ( heap_Time_assert_a @ X0 @ X2 ) @ X1 )
= ( some_P7913643980934408916it_nat @ ( produc9178034014595674355it_nat @ X2 @ ( produc584006145561248582it_nat @ X1 @ one_one_nat ) ) ) ) ),
inference(cnf_transformation,[],[f22956]) ).
thf(f23802,plain,
( ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h )
!= $true ),
inference(cnf_transformation,[],[f22138]) ).
thf(f23926,plain,
( ( p @ x )
= $true ),
inference(cnf_transformation,[],[f17365]) ).
thf(f24336,definition,
( spl119_10
<=> ( ( p @ x )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl119_10])],[avatar_definition]) ).
thf(f24338,plain,
( ( ( p @ x )
= $true )
| ~ spl119_10 ),
inference(avatar_component_clause,[],[f24336]) ).
thf(f24339,plain,
spl119_10,
inference(avatar_split_clause,[],[f23926,f24336]) ).
thf(f24509,definition,
( spl119_44
<=> ( ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl119_44])],[avatar_definition]) ).
thf(f24511,plain,
( ( ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h )
!= $true )
| spl119_44 ),
inference(avatar_component_clause,[],[f24509]) ).
thf(f24512,plain,
~ spl119_44,
inference(avatar_split_clause,[],[f23802,f24509]) ).
thf(f24513,plain,
( ( none_P2651198173097904984it_nat
= ( heap_Time_execute_a @ ( heap_Time_assert_a @ p @ x ) @ h ) )
| ( $true != $true )
| spl119_44 ),
inference(superposition,[],[f24511,f23390]) ).
thf(f24514,plain,
( ( none_P2651198173097904984it_nat
= ( heap_Time_execute_a @ ( heap_Time_assert_a @ p @ x ) @ h ) )
| spl119_44 ),
inference(trivial_inequality_removal,[],[f24513]) ).
thf(f24516,definition,
( spl119_45
<=> ( none_P2651198173097904984it_nat
= ( heap_Time_execute_a @ ( heap_Time_assert_a @ p @ x ) @ h ) ) ),
introduced(definition,[new_symbols(definition,[spl119_45])],[avatar_definition]) ).
thf(f24518,plain,
( ( none_P2651198173097904984it_nat
= ( heap_Time_execute_a @ ( heap_Time_assert_a @ p @ x ) @ h ) )
| ~ spl119_45 ),
inference(avatar_component_clause,[],[f24516]) ).
thf(f24519,plain,
( spl119_45
| spl119_44 ),
inference(avatar_split_clause,[],[f24514,f24509,f24516]) ).
thf(f24565,plain,
( ! [X0: heap_e7401611519738050253t_unit] :
( ( ( some_P7913643980934408916it_nat @ ( produc9178034014595674355it_nat @ x @ ( produc584006145561248582it_nat @ X0 @ one_one_nat ) ) )
= ( heap_Time_execute_a @ ( heap_Time_assert_a @ p @ x ) @ X0 ) )
| ( $true != $true ) )
| ~ spl119_10 ),
inference(superposition,[],[f23688,f24338]) ).
thf(f24570,plain,
( ! [X0: heap_e7401611519738050253t_unit] :
( ( some_P7913643980934408916it_nat @ ( produc9178034014595674355it_nat @ x @ ( produc584006145561248582it_nat @ X0 @ one_one_nat ) ) )
= ( heap_Time_execute_a @ ( heap_Time_assert_a @ p @ x ) @ X0 ) )
| ~ spl119_10 ),
inference(trivial_inequality_removal,[],[f24565]) ).
thf(f24574,plain,
( ! [X0: heap_e7401611519738050253t_unit] :
( none_P2651198173097904984it_nat
!= ( heap_Time_execute_a @ ( heap_Time_assert_a @ p @ x ) @ X0 ) )
| ~ spl119_10 ),
inference(superposition,[],[f23325,f24570]) ).
thf(f24760,plain,
( ( none_P2651198173097904984it_nat != none_P2651198173097904984it_nat )
| ~ spl119_10
| ~ spl119_45 ),
inference(superposition,[],[f24574,f24518]) ).
thf(f24762,plain,
( $false
| ~ spl119_10
| ~ spl119_45 ),
inference(trivial_inequality_removal,[],[f24760]) ).
thf(f24763,plain,
( ~ spl119_10
| ~ spl119_45 ),
inference(avatar_contradiction_clause,[],[f24762]) ).
cnf(s11,plain,
spl119_10,
inference(sat_conversion,[],[f24339]) ).
cnf(s69,plain,
~ spl119_44,
inference(sat_conversion,[],[f24512]) ).
cnf(s71,plain,
( spl119_44
| spl119_45 ),
inference(sat_conversion,[],[f24519]) ).
cnf(s83,plain,
( ~ spl119_10
| ~ spl119_45 ),
inference(sat_conversion,[],[f24763]) ).
cnf(s84,plain,
spl119_45,
inference(rat,[],[s71,s69]) ).
cnf(s85,plain,
~ spl119_10,
inference(rat,[],[s83,s84]) ).
cnf(s89,plain,
$false,
inference(rat,[],[s11,s85]) ).
thf(f24765,plain,
$false,
inference(avatar_sat_refutation,[],[s89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP207^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n018.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 20:15:37 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running higher-order theorem proving
% 3.76/3.88 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.91/4.50 % (588102)Detected a higher-order problem, will run a greedy HOL sequence.
% 4.91/4.50 % (588111)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1113589246:i=24:av=off:rtra=on_2995 on theBenchmark for (2995ds/24Mi)
% 4.91/4.50 % (588113)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 4.91/4.50 % (588113)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 4.91/4.50 % (588108)lrs+10_16_si=on:nwc=1.5:random_seed=1663155328:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/18Mi)
% 4.91/4.50 % (588107)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3118636608:s2a=on:i=87:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/87Mi)
% 4.91/4.50 % (588109)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3117323084:i=3:rtra=on:inj=on:ntd=on_2995 on theBenchmark for (2995ds/3Mi)
% 4.91/4.50 % (588110)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1128087746:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2995 on theBenchmark for (2995ds/634Mi)
% 4.91/4.50 % (588112)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4022041912:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/75Mi)
% 4.91/4.50 % (588113)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1537250999:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2995 on theBenchmark for (2995ds/157Mi)
% 4.91/4.50 % (588109)Instruction limit reached!
% 4.91/4.50 % (588109)------------------------------
% 4.91/4.50 % (588109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.50 % (588109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.50 % (588109)CaDiCaL version: 2.1.3
% 4.91/4.50 % (588109)Termination reason: Instruction limit
% 4.91/4.50 % (588109)Termination phase: shuffling
% 4.91/4.50 % (588109)Time elapsed: 0.005 s
% 4.91/4.50 % (588109)Peak memory usage: 21 MB
% 4.91/4.50 % (588109)Instructions burned: 3 (million)
% 4.91/4.50 % (588111)Instruction limit reached!
% 4.91/4.50 % (588111)------------------------------
% 4.91/4.50 % (588111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.50 % (588111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.50 % (588111)CaDiCaL version: 2.1.3
% 4.91/4.50 % (588111)Termination reason: Instruction limit
% 4.91/4.50 % (588111)Termination phase: shuffling
% 4.91/4.50 % (588111)Time elapsed: 0.014 s
% 4.91/4.50 % (588111)Peak memory usage: 23 MB
% 4.91/4.50 % (588111)Instructions burned: 27 (million)
% 4.91/4.50 % (588108)Instruction limit reached!
% 4.91/4.50 % (588108)------------------------------
% 4.91/4.50 % (588108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.50 % (588108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.50 % (588108)CaDiCaL version: 2.1.3
% 4.91/4.50 % (588108)Termination reason: Instruction limit
% 4.91/4.50 % (588108)Termination phase: shuffling
% 4.91/4.50 % (588108)Time elapsed: 0.018 s
% 4.91/4.50 % (588108)Peak memory usage: 23 MB
% 4.91/4.50 % (588108)Instructions burned: 20 (million)
% 4.91/4.50 % (588121)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3795701731:i=2:hud=10:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 4.91/4.50 % (588121)Instruction limit reached!
% 4.91/4.50 % (588121)------------------------------
% 4.91/4.50 % (588121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.50 % (588121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.50 % (588121)CaDiCaL version: 2.1.3
% 4.91/4.50 % (588121)Termination reason: Instruction limit
% 4.91/4.50 % (588121)Termination phase: shuffling
% 4.91/4.50 % (588121)Time elapsed: 0.002 s
% 4.91/4.50 % (588121)Peak memory usage: 21 MB
% 4.91/4.50 % (588121)Instructions burned: 2 (million)
% 4.91/4.50 % (588122)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1227536191:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/5Mi)
% 4.91/4.50 % (588124)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.91/4.55 % (588125)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2173527285:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/12Mi)
% 4.91/4.55 % (588122)Instruction limit reached!
% 4.91/4.55 % (588122)------------------------------
% 4.91/4.55 % (588122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.55 % (588122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.55 % (588122)CaDiCaL version: 2.1.3
% 4.91/4.55 % (588122)Termination reason: Instruction limit
% 4.91/4.55 % (588122)Termination phase: shuffling
% 4.91/4.55 % (588122)Time elapsed: 0.008 s
% 4.91/4.55 % (588122)Peak memory usage: 21 MB
% 4.91/4.55 % (588122)Instructions burned: 5 (million)
% 4.91/4.55 % (588124)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1333920181:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2994 on theBenchmark for (2994ds/7Mi)
% 4.91/4.55 % (588125)Instruction limit reached!
% 4.91/4.56 % (588125)------------------------------
% 4.91/4.56 % (588125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.56 % (588125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.56 % (588125)CaDiCaL version: 2.1.3
% 4.91/4.56 % (588125)Termination reason: Instruction limit
% 4.91/4.56 % (588125)Termination phase: shuffling
% 4.91/4.56 % (588125)Time elapsed: 0.009 s
% 4.91/4.56 % (588125)Peak memory usage: 22 MB
% 4.91/4.56 % (588125)Instructions burned: 16 (million)
% 4.91/4.56 % (588112)Instruction limit reached!
% 4.91/4.56 % (588112)------------------------------
% 4.91/4.56 % (588112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.56 % (588112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.56 % (588112)CaDiCaL version: 2.1.3
% 4.91/4.56 % (588112)Termination reason: Instruction limit
% 4.91/4.56 % (588112)Termination phase: shuffling
% 4.91/4.56 % (588112)Time elapsed: 0.044 s
% 4.91/4.56 % (588112)Peak memory usage: 24 MB
% 4.91/4.56 % (588112)Instructions burned: 76 (million)
% 4.91/4.56 % (588107)Instruction limit reached!
% 4.91/4.56 % (588107)------------------------------
% 4.91/4.56 % (588107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.56 % (588107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.56 % (588107)CaDiCaL version: 2.1.3
% 4.91/4.56 % (588107)Termination reason: Instruction limit
% 4.91/4.56 % (588107)Termination phase: shuffling
% 4.91/4.56 % (588107)Time elapsed: 0.049 s
% 4.91/4.56 % (588107)Peak memory usage: 24 MB
% 4.91/4.56 % (588107)Instructions burned: 91 (million)
% 4.91/4.56 % (588124)Instruction limit reached!
% 4.91/4.56 % (588124)------------------------------
% 4.91/4.56 % (588124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.56 % (588124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.56 % (588124)CaDiCaL version: 2.1.3
% 4.91/4.56 % (588124)Termination reason: Instruction limit
% 4.91/4.56 % (588124)Termination phase: shuffling
% 4.91/4.56 % (588124)Time elapsed: 0.011 s
% 4.91/4.56 % (588124)Peak memory usage: 22 MB
% 4.91/4.56 % (588124)Instructions burned: 7 (million)
% 4.91/4.56 % (588129)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 4.91/4.56 % (588129)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.91/4.56 % (588130)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1279960234:i=86:piset=equals:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/86Mi)
% 4.91/4.56 % (588131)lrs+10_1_si=on:cs=on:random_seed=2605109714:i=8:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/8Mi)
% 4.91/4.56 % (588129)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4177791835:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2994 on theBenchmark for (2994ds/28Mi)
% 4.91/4.56 % (588132)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 4.91/4.60 % (588132)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1325079224:i=2:add=on:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 4.91/4.60 % (588132)Instruction limit reached!
% 4.91/4.60 % (588132)------------------------------
% 4.91/4.60 % (588132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.60 % (588132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.60 % (588132)CaDiCaL version: 2.1.3
% 4.91/4.60 % (588132)Termination reason: Instruction limit
% 4.91/4.60 % (588132)Termination phase: shuffling
% 4.91/4.60 % (588132)Time elapsed: 0.004 s
% 4.91/4.60 % (588132)Peak memory usage: 22 MB
% 4.91/4.60 % (588132)Instructions burned: 2 (million)
% 4.91/4.60 % (588133)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3090344979:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2994 on theBenchmark for (2994ds/38Mi)
% 4.91/4.60 % (588131)Instruction limit reached!
% 4.91/4.60 % (588131)------------------------------
% 4.91/4.60 % (588131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.60 % (588131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.60 % (588131)CaDiCaL version: 2.1.3
% 4.91/4.60 % (588131)Termination reason: Instruction limit
% 4.91/4.60 % (588131)Termination phase: shuffling
% 4.91/4.60 % (588131)Time elapsed: 0.012 s
% 4.91/4.60 % (588131)Peak memory usage: 22 MB
% 4.91/4.60 % (588131)Instructions burned: 9 (million)
% 4.91/4.60 % (588113)Instruction limit reached!
% 4.91/4.60 % (588113)------------------------------
% 4.91/4.60 % (588113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.60 % (588113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.60 % (588113)CaDiCaL version: 2.1.3
% 4.91/4.60 % (588113)Termination reason: Instruction limit
% 4.91/4.60 % (588113)Termination phase: shuffling
% 4.91/4.60 % (588113)Time elapsed: 0.079 s
% 4.91/4.60 % (588113)Peak memory usage: 25 MB
% 4.91/4.60 % (588113)Instructions burned: 159 (million)
% 4.91/4.60 % (588130)Instruction limit reached!
% 4.91/4.60 % (588130)------------------------------
% 4.91/4.60 % (588130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.60 % (588130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.60 % (588130)CaDiCaL version: 2.1.3
% 4.91/4.60 % (588130)Termination reason: Instruction limit
% 4.91/4.60 % (588130)Termination phase: shuffling
% 4.91/4.60 % (588130)Time elapsed: 0.028 s
% 4.91/4.60 % (588130)Peak memory usage: 24 MB
% 4.91/4.60 % (588130)Instructions burned: 89 (million)
% 4.91/4.60 % (588129)Instruction limit reached!
% 4.91/4.60 % (588129)------------------------------
% 4.91/4.60 % (588129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.60 % (588129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.60 % (588129)CaDiCaL version: 2.1.3
% 4.91/4.60 % (588129)Termination reason: Instruction limit
% 4.91/4.60 % (588129)Termination phase: shuffling
% 4.91/4.60 % (588129)Time elapsed: 0.023 s
% 4.91/4.60 % (588129)Peak memory usage: 22 MB
% 4.91/4.60 % (588129)Instructions burned: 30 (million)
% 4.91/4.60 % (588142)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=206715052:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/327Mi)
% 4.91/4.60 % (588138)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1015630850:st=2:i=249:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/249Mi)
% 4.91/4.60 % (588140)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3809402279:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2994 on theBenchmark for (2994ds/25Mi)
% 4.91/4.60 % (588141)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1270098692:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2994 on theBenchmark for (2994ds/14Mi)
% 4.91/4.60 % (588133)Instruction limit reached!
% 4.91/4.60 % (588133)------------------------------
% 4.91/4.60 % (588133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.91/4.60 % (588133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/4.60 % (588133)CaDiCaL version: 2.1.3
% 4.91/4.60 % (588133)Termination reason: Instruction limit
% 4.91/4.60 % (588133)Termination phase: shuffling
% 4.91/4.60 % (588133)Time elapsed: 0.027 s
% 4.91/4.60 % (588133)Peak memory usage: 23 MB
% 5.46/4.65 % (588133)Instructions burned: 40 (million)
% 5.46/4.65 % (588143)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1651401781:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/14Mi)
% 5.46/4.65 % (588141)Instruction limit reached!
% 5.46/4.65 % (588141)------------------------------
% 5.46/4.65 % (588141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/4.65 % (588141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/4.65 % (588141)CaDiCaL version: 2.1.3
% 5.46/4.65 % (588141)Termination reason: Instruction limit
% 5.46/4.65 % (588141)Termination phase: shuffling
% 5.46/4.65 % (588141)Time elapsed: 0.014 s
% 5.46/4.65 % (588141)Peak memory usage: 22 MB
% 5.46/4.65 % (588141)Instructions burned: 14 (million)
% 5.46/4.65 % (588140)Instruction limit reached!
% 5.46/4.65 % (588140)------------------------------
% 5.46/4.65 % (588140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/4.65 % (588140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/4.65 % (588140)CaDiCaL version: 2.1.3
% 5.46/4.65 % (588140)Termination reason: Instruction limit
% 5.46/4.65 % (588140)Termination phase: shuffling
% 5.46/4.65 % (588140)Time elapsed: 0.020 s
% 5.46/4.65 % (588140)Peak memory usage: 23 MB
% 5.46/4.65 % (588140)Instructions burned: 27 (million)
% 5.46/4.65 % (588148)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2702511676:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2993 on theBenchmark for (2993ds/2Mi)
% 5.46/4.65 % (588143)Instruction limit reached!
% 5.46/4.65 % (588143)------------------------------
% 5.46/4.65 % (588143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/4.65 % (588143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/4.65 % (588143)CaDiCaL version: 2.1.3
% 5.46/4.65 % (588143)Termination reason: Instruction limit
% 5.46/4.65 % (588143)Termination phase: shuffling
% 5.46/4.65 % (588143)Time elapsed: 0.016 s
% 5.46/4.65 % (588143)Peak memory usage: 22 MB
% 5.46/4.65 % (588143)Instructions burned: 16 (million)
% 5.46/4.65 % (588148)Instruction limit reached!
% 5.46/4.65 % (588148)------------------------------
% 5.46/4.65 % (588148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/4.65 % (588148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/4.65 % (588148)CaDiCaL version: 2.1.3
% 5.46/4.65 % (588148)Termination reason: Instruction limit
% 5.46/4.65 % (588148)Termination phase: shuffling
% 5.46/4.65 % (588148)Time elapsed: 0.003 s
% 5.46/4.65 % (588148)Peak memory usage: 21 MB
% 5.46/4.65 % (588148)Instructions burned: 2 (million)
% 5.46/4.65 % (588150)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1763951275:i=26:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/26Mi)
% 5.46/4.65 % (588151)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=47108049:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/23Mi)
% 5.46/4.65 % (588154)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.46/4.65 % (588154)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 5.46/4.65 % (588153)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1256565378:cond=on:i=60:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/60Mi)
% 5.46/4.65 % (588154)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2598154791:i=14:add=off:nm=40:rtra=on:rawr=on_2993 on theBenchmark for (2993ds/14Mi)
% 5.46/4.65 % (588150)Instruction limit reached!
% 5.46/4.65 % (588150)------------------------------
% 5.46/4.65 % (588150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/4.65 % (588150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/4.65 % (588150)CaDiCaL version: 2.1.3
% 5.46/4.65 % (588150)Termination reason: Instruction limit
% 5.46/4.65 % (588150)Termination phase: shuffling
% 5.46/4.65 % (588150)Time elapsed: 0.020 s
% 5.46/4.65 % (588150)Peak memory usage: 23 MB
% 5.46/4.65 % (588150)Instructions burned: 26 (million)
% 5.46/4.65 % (588151)Instruction limit reached!
% 5.97/4.72 % (588151)------------------------------
% 5.97/4.72 % (588151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.97/4.72 % (588151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/4.72 % (588151)CaDiCaL version: 2.1.3
% 5.97/4.72 % (588151)Termination reason: Instruction limit
% 5.97/4.72 % (588151)Termination phase: shuffling
% 5.97/4.72 % (588151)Time elapsed: 0.019 s
% 5.97/4.72 % (588151)Peak memory usage: 23 MB
% 5.97/4.72 % (588151)Instructions burned: 24 (million)
% 5.97/4.72 % (588154)Instruction limit reached!
% 5.97/4.72 % (588154)------------------------------
% 5.97/4.72 % (588154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.97/4.72 % (588154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/4.72 % (588154)CaDiCaL version: 2.1.3
% 5.97/4.72 % (588154)Termination reason: Instruction limit
% 5.97/4.72 % (588154)Termination phase: shuffling
% 5.97/4.72 % (588154)Time elapsed: 0.015 s
% 5.97/4.72 % (588154)Peak memory usage: 22 MB
% 5.97/4.72 % (588154)Instructions burned: 15 (million)
% 5.97/4.72 % (588159)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 5.97/4.72 % (588159)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=830350218:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2993 on theBenchmark for (2993ds/8Mi)
% 5.97/4.72 % (588160)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=147135308:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.97/4.72 % (588142)Instruction limit reached!
% 5.97/4.72 % (588142)------------------------------
% 5.97/4.72 % (588142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.97/4.72 % (588142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/4.72 % (588142)CaDiCaL version: 2.1.3
% 5.97/4.72 % (588142)Termination reason: Instruction limit
% 5.97/4.72 % (588142)Termination phase: shuffling
% 5.97/4.72 % (588142)Time elapsed: 0.087 s
% 5.97/4.72 % (588142)Peak memory usage: 28 MB
% 5.97/4.72 % (588142)Instructions burned: 329 (million)
% 5.97/4.72 % (588153)Instruction limit reached!
% 5.97/4.72 % (588153)------------------------------
% 5.97/4.72 % (588153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.97/4.72 % (588153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/4.72 % (588153)CaDiCaL version: 2.1.3
% 5.97/4.72 % (588153)Termination reason: Instruction limit
% 5.97/4.72 % (588153)Termination phase: shuffling
% 5.97/4.72 % (588153)Time elapsed: 0.036 s
% 5.97/4.72 % (588153)Peak memory usage: 23 MB
% 5.97/4.72 % (588153)Instructions burned: 62 (million)
% 5.97/4.72 % (588161)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3954762822:i=7:hud=5:bd=preordered:rtra=on:bet=on_2993 on theBenchmark for (2993ds/7Mi)
% 5.97/4.72 % (588159)Instruction limit reached!
% 5.97/4.72 % (588159)------------------------------
% 5.97/4.72 % (588159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.97/4.72 % (588159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/4.72 % (588159)CaDiCaL version: 2.1.3
% 5.97/4.72 % (588159)Termination reason: Instruction limit
% 5.97/4.72 % (588159)Termination phase: shuffling
% 5.97/4.72 % (588159)Time elapsed: 0.012 s
% 5.97/4.72 % (588159)Peak memory usage: 22 MB
% 5.97/4.72 % (588159)Instructions burned: 8 (million)
% 5.97/4.72 % (588164)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=290114515:i=23:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/23Mi)
% 5.97/4.72 % (588161)Instruction limit reached!
% 5.97/4.72 % (588161)------------------------------
% 5.97/4.72 % (588161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.97/4.72 % (588161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/4.72 % (588161)CaDiCaL version: 2.1.3
% 5.97/4.72 % (588161)Termination reason: Instruction limit
% 5.97/4.72 % (588161)Termination phase: shuffling
% 5.97/4.72 % (588161)Time elapsed: 0.011 s
% 5.97/4.72 % (588161)Peak memory usage: 22 MB
% 5.97/4.72 % (588161)Instructions burned: 7 (million)
% 5.97/4.72 % (588160)Instruction limit reached!
% 5.97/4.72 % (588160)------------------------------
% 5.97/4.72 % (588160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.97/4.79 % (588160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/4.79 % (588160)CaDiCaL version: 2.1.3
% 5.97/4.79 % (588160)Termination reason: Instruction limit
% 5.97/4.79 % (588160)Termination phase: shuffling
% 5.97/4.79 % (588160)Time elapsed: 0.022 s
% 5.97/4.79 % (588160)Peak memory usage: 23 MB
% 5.97/4.79 % (588160)Instructions burned: 32 (million)
% 5.97/4.79 % (588166)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=671956557:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2993 on theBenchmark for (2993ds/20Mi)
% 5.97/4.79 % (588164)Instruction limit reached!
% 5.97/4.79 % (588164)------------------------------
% 5.97/4.79 % (588164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.97/4.79 % (588164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/4.79 % (588164)CaDiCaL version: 2.1.3
% 5.97/4.79 % (588164)Termination reason: Instruction limit
% 5.97/4.79 % (588164)Termination phase: shuffling
% 5.97/4.79 % (588164)Time elapsed: 0.014 s
% 5.97/4.79 % (588164)Peak memory usage: 23 MB
% 5.97/4.79 % (588164)Instructions burned: 35 (million)
% 5.97/4.79 % (588167)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1490734605:i=1240:rtra=on:ixr=off_2993 on theBenchmark for (2993ds/1240Mi)
% 5.97/4.79 % (588138)Instruction limit reached!
% 5.97/4.79 % (588138)------------------------------
% 5.97/4.79 % (588138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.97/4.79 % (588138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/4.79 % (588138)CaDiCaL version: 2.1.3
% 5.97/4.79 % (588138)Termination reason: Instruction limit
% 5.97/4.79 % (588138)Termination phase: shuffling
% 5.97/4.79 % (588138)Time elapsed: 0.122 s
% 5.97/4.79 % (588138)Peak memory usage: 27 MB
% 5.97/4.79 % (588138)Instructions burned: 250 (million)
% 5.97/4.79 % (588169)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3956446246:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/143Mi)
% 5.97/4.79 % (588172)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1428026131:i=42:hud=10:rtra=on_2992 on theBenchmark for (2992ds/42Mi)
% 5.97/4.79 % (588170)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2374309904:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/193Mi)
% 5.97/4.79 % (588166)Instruction limit reached!
% 5.97/4.79 % (588166)------------------------------
% 5.97/4.79 % (588166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.97/4.79 % (588166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/4.79 % (588166)CaDiCaL version: 2.1.3
% 5.97/4.79 % (588166)Termination reason: Instruction limit
% 5.97/4.79 % (588166)Termination phase: shuffling
% 5.97/4.79 % (588166)Time elapsed: 0.018 s
% 5.97/4.79 % (588166)Peak memory usage: 23 MB
% 5.97/4.79 % (588166)Instructions burned: 20 (million)
% 5.97/4.79 % (588175)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 5.97/4.79 % (588172)Instruction limit reached!
% 5.97/4.79 % (588172)------------------------------
% 5.97/4.79 % (588172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.97/4.79 % (588172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/4.79 % (588172)CaDiCaL version: 2.1.3
% 5.97/4.79 % (588172)Termination reason: Instruction limit
% 5.97/4.79 % (588172)Termination phase: shuffling
% 5.97/4.79 % (588172)Time elapsed: 0.016 s
% 5.97/4.79 % (588172)Peak memory usage: 23 MB
% 5.97/4.79 % (588172)Instructions burned: 43 (million)
% 5.97/4.79 % (588175)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1119641186:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2992 on theBenchmark for (2992ds/7Mi)
% 5.97/4.79 % (588178)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2246046103:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/181Mi)
% 5.97/4.79 % (588179)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=462541968:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/169Mi)
% 5.97/4.79 % (588175)Instruction limit reached!
% 5.97/4.79 % (588175)------------------------------
% 6.82/4.87 % (588175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.82/4.87 % (588175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/4.87 % (588175)CaDiCaL version: 2.1.3
% 6.82/4.87 % (588175)Termination reason: Instruction limit
% 6.82/4.87 % (588175)Termination phase: shuffling
% 6.82/4.87 % (588175)Time elapsed: 0.011 s
% 6.82/4.87 % (588175)Peak memory usage: 22 MB
% 6.82/4.87 % (588175)Instructions burned: 7 (million)
% 6.82/4.87 % (588183)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 6.82/4.87 % (588183)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2689312533:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2992 on theBenchmark for (2992ds/6Mi)
% 6.82/4.87 % (588183)Instruction limit reached!
% 6.82/4.87 % (588183)------------------------------
% 6.82/4.87 % (588183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.82/4.87 % (588183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/4.87 % (588183)CaDiCaL version: 2.1.3
% 6.82/4.87 % (588183)Termination reason: Instruction limit
% 6.82/4.87 % (588183)Termination phase: shuffling
% 6.82/4.87 % (588183)Time elapsed: 0.010 s
% 6.82/4.87 % (588183)Peak memory usage: 22 MB
% 6.82/4.87 % (588183)Instructions burned: 7 (million)
% 6.82/4.87 % (588169)Instruction limit reached!
% 6.82/4.87 % (588169)------------------------------
% 6.82/4.87 % (588169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.82/4.87 % (588169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/4.87 % (588169)CaDiCaL version: 2.1.3
% 6.82/4.87 % (588169)Termination reason: Instruction limit
% 6.82/4.87 % (588169)Termination phase: shuffling
% 6.82/4.87 % (588169)Time elapsed: 0.072 s
% 6.82/4.87 % (588169)Peak memory usage: 24 MB
% 6.82/4.87 % (588169)Instructions burned: 144 (million)
% 6.82/4.87 % (588179)Instruction limit reached!
% 6.82/4.87 % (588179)------------------------------
% 6.82/4.87 % (588179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.82/4.87 % (588179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/4.87 % (588179)CaDiCaL version: 2.1.3
% 6.82/4.87 % (588179)Termination reason: Instruction limit
% 6.82/4.87 % (588179)Termination phase: shuffling
% 6.82/4.87 % (588179)Time elapsed: 0.047 s
% 6.82/4.87 % (588179)Peak memory usage: 25 MB
% 6.82/4.87 % (588179)Instructions burned: 173 (million)
% 6.82/4.87 % (588185)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1250534287:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.82/4.87 % (588187)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=466990232:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/316Mi)
% 6.82/4.87 % (588110)Instruction limit reached!
% 6.82/4.87 % (588110)------------------------------
% 6.82/4.87 % (588110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.82/4.87 % (588110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/4.87 % (588110)CaDiCaL version: 2.1.3
% 6.82/4.87 % (588110)Termination reason: Instruction limit
% 6.82/4.87 % (588110)Termination phase: shuffling
% 6.82/4.87 % (588110)Time elapsed: 0.313 s
% 6.82/4.87 % (588110)Peak memory usage: 27 MB
% 6.82/4.87 % (588110)Instructions burned: 634 (million)
% 6.82/4.87 % (588186)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1974384647:i=19:add=on:rtra=on_2992 on theBenchmark for (2992ds/19Mi)
% 6.82/4.87 % (588170)Instruction limit reached!
% 6.82/4.87 % (588170)------------------------------
% 6.82/4.87 % (588170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.82/4.87 % (588170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/4.87 % (588170)CaDiCaL version: 2.1.3
% 6.82/4.87 % (588170)Termination reason: Instruction limit
% 6.82/4.87 % (588170)Termination phase: shuffling
% 6.82/4.87 % (588170)Time elapsed: 0.095 s
% 6.82/4.87 % (588170)Peak memory usage: 26 MB
% 6.82/4.87 % (588170)Instructions burned: 193 (million)
% 6.82/4.87 % (588185)Instruction limit reached!
% 6.82/4.87 % (588185)------------------------------
% 6.82/4.87 % (588185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/4.97 % (588185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/4.97 % (588185)CaDiCaL version: 2.1.3
% 7.21/4.97 % (588185)Termination reason: Instruction limit
% 7.21/4.97 % (588185)Termination phase: shuffling
% 7.21/4.97 % (588185)Time elapsed: 0.019 s
% 7.21/4.97 % (588185)Peak memory usage: 23 MB
% 7.21/4.97 % (588185)Instructions burned: 24 (million)
% 7.21/4.97 % (588186)Instruction limit reached!
% 7.21/4.97 % (588186)------------------------------
% 7.21/4.97 % (588186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/4.97 % (588186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/4.97 % (588186)CaDiCaL version: 2.1.3
% 7.21/4.97 % (588186)Termination reason: Instruction limit
% 7.21/4.97 % (588186)Termination phase: shuffling
% 7.21/4.97 % (588186)Time elapsed: 0.017 s
% 7.21/4.97 % (588186)Peak memory usage: 23 MB
% 7.21/4.97 % (588186)Instructions burned: 20 (million)
% 7.21/4.97 % (588190)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1217081647:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2991 on theBenchmark for (2991ds/853Mi)
% 7.21/4.97 % (588178)Instruction limit reached!
% 7.21/4.97 % (588178)------------------------------
% 7.21/4.97 % (588178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/4.97 % (588178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/4.97 % (588178)CaDiCaL version: 2.1.3
% 7.21/4.97 % (588178)Termination reason: Instruction limit
% 7.21/4.97 % (588178)Termination phase: shuffling
% 7.21/4.97 % (588178)Time elapsed: 0.089 s
% 7.21/4.97 % (588178)Peak memory usage: 25 MB
% 7.21/4.97 % (588178)Instructions burned: 181 (million)
% 7.21/4.97 % (588192)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3366615457:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2991 on theBenchmark for (2991ds/45Mi)
% 7.21/4.97 % (588193)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1776393253:i=480:rtra=on_2991 on theBenchmark for (2991ds/480Mi)
% 7.21/4.97 % (588195)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2589059805:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2991 on theBenchmark for (2991ds/21Mi)
% 7.21/4.97 % (588196)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 7.21/4.97 % (588196)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2093842964:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/200Mi)
% 7.21/4.97 % (588192)Instruction limit reached!
% 7.21/4.97 % (588192)------------------------------
% 7.21/4.97 % (588192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/4.97 % (588192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/4.97 % (588192)CaDiCaL version: 2.1.3
% 7.21/4.97 % (588192)Termination reason: Instruction limit
% 7.21/4.97 % (588192)Termination phase: Property scanning
% 7.21/4.97 % (588192)Time elapsed: 0.027 s
% 7.21/4.97 % (588192)Peak memory usage: 22 MB
% 7.21/4.97 % (588192)Instructions burned: 46 (million)
% 7.21/4.97 % (588195)Instruction limit reached!
% 7.21/4.97 % (588195)------------------------------
% 7.21/4.97 % (588195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/4.97 % (588195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/4.97 % (588195)CaDiCaL version: 2.1.3
% 7.21/4.97 % (588195)Termination reason: Instruction limit
% 7.21/4.97 % (588195)Termination phase: shuffling
% 7.21/4.97 % (588195)Time elapsed: 0.018 s
% 7.21/4.97 % (588195)Peak memory usage: 23 MB
% 7.21/4.97 % (588195)Instructions burned: 21 (million)
% 7.21/4.97 % (588201)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=772581803:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2991 on theBenchmark for (2991ds/13Mi)
% 7.21/4.97 % (588202)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1804655487:i=66:s2at=3:nm=2:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/66Mi)
% 7.21/4.97 % (588187)Instruction limit reached!
% 9.21/5.14 % (588187)------------------------------
% 9.21/5.14 % (588187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/5.14 % (588187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.14 % (588187)CaDiCaL version: 2.1.3
% 9.21/5.14 % (588187)Termination reason: Instruction limit
% 9.21/5.14 % (588187)Termination phase: shuffling
% 9.21/5.14 % (588187)Time elapsed: 0.085 s
% 9.21/5.14 % (588187)Peak memory usage: 30 MB
% 9.21/5.14 % (588187)Instructions burned: 320 (million)
% 9.21/5.14 % (588201)Instruction limit reached!
% 9.21/5.14 % (588201)------------------------------
% 9.21/5.14 % (588201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/5.14 % (588201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.14 % (588201)CaDiCaL version: 2.1.3
% 9.21/5.14 % (588201)Termination reason: Instruction limit
% 9.21/5.14 % (588201)Termination phase: shuffling
% 9.21/5.14 % (588201)Time elapsed: 0.015 s
% 9.21/5.14 % (588201)Peak memory usage: 22 MB
% 9.21/5.14 % (588201)Instructions burned: 15 (million)
% 9.21/5.14 % (588205)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4165750448:i=51:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/51Mi)
% 9.21/5.14 % (588205)Instruction limit reached!
% 9.21/5.14 % (588205)------------------------------
% 9.21/5.14 % (588205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/5.14 % (588205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.14 % (588205)CaDiCaL version: 2.1.3
% 9.21/5.14 % (588205)Termination reason: Instruction limit
% 9.21/5.14 % (588205)Termination phase: shuffling
% 9.21/5.14 % (588205)Time elapsed: 0.018 s
% 9.21/5.14 % (588205)Peak memory usage: 23 MB
% 9.21/5.14 % (588205)Instructions burned: 53 (million)
% 9.21/5.14 % (588207)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1771984242:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/31Mi)
% 9.21/5.14 % (588202)Instruction limit reached!
% 9.21/5.14 % (588202)------------------------------
% 9.21/5.14 % (588202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/5.14 % (588202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.14 % (588202)CaDiCaL version: 2.1.3
% 9.21/5.14 % (588202)Termination reason: Instruction limit
% 9.21/5.14 % (588202)Termination phase: shuffling
% 9.21/5.14 % (588202)Time elapsed: 0.037 s
% 9.21/5.14 % (588202)Peak memory usage: 23 MB
% 9.21/5.14 % (588202)Instructions burned: 67 (million)
% 9.21/5.14 % (588209)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=263755210:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2990 on theBenchmark for (2990ds/137Mi)
% 9.21/5.14 % (588207)Instruction limit reached!
% 9.21/5.14 % (588207)------------------------------
% 9.21/5.14 % (588207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/5.14 % (588207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.14 % (588207)CaDiCaL version: 2.1.3
% 9.21/5.14 % (588207)Termination reason: Instruction limit
% 9.21/5.14 % (588207)Termination phase: shuffling
% 9.21/5.14 % (588207)Time elapsed: 0.022 s
% 9.21/5.14 % (588207)Peak memory usage: 23 MB
% 9.21/5.14 % (588207)Instructions burned: 31 (million)
% 9.21/5.14 % (588210)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=847097674:cond=on:i=34:hud=10:nm=10:rtra=on_2990 on theBenchmark for (2990ds/34Mi)
% 9.21/5.14 % (588196)Instruction limit reached!
% 9.21/5.14 % (588196)------------------------------
% 9.21/5.14 % (588196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.21/5.14 % (588196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/5.14 % (588196)CaDiCaL version: 2.1.3
% 9.21/5.14 % (588196)Termination reason: Instruction limit
% 9.21/5.14 % (588196)Termination phase: shuffling
% 9.21/5.14 % (588196)Time elapsed: 0.099 s
% 9.21/5.14 % (588196)Peak memory usage: 26 MB
% 9.21/5.14 % (588196)Instructions burned: 201 (million)
% 9.21/5.14 % (588213)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3462466413:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2990 on theBenchmark for (2990ds/67Mi)
% 9.21/5.14 % (588210)Instruction limit reached!
% 9.21/5.14 % (588210)------------------------------
% 9.21/5.14 % (588210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.31 % (588210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.31 % (588210)CaDiCaL version: 2.1.3
% 10.19/5.31 % (588210)Termination reason: Instruction limit
% 10.19/5.31 % (588210)Termination phase: shuffling
% 10.19/5.31 % (588210)Time elapsed: 0.024 s
% 10.19/5.31 % (588210)Peak memory usage: 23 MB
% 10.19/5.31 % (588210)Instructions burned: 35 (million)
% 10.19/5.31 % (588214)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 10.19/5.31 % (588209)Instruction limit reached!
% 10.19/5.31 % (588209)------------------------------
% 10.19/5.31 % (588209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.31 % (588209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.31 % (588209)CaDiCaL version: 2.1.3
% 10.19/5.31 % (588209)Termination reason: Instruction limit
% 10.19/5.31 % (588209)Termination phase: shuffling
% 10.19/5.31 % (588209)Time elapsed: 0.038 s
% 10.19/5.31 % (588209)Peak memory usage: 24 MB
% 10.19/5.31 % (588209)Instructions burned: 138 (million)
% 10.19/5.31 % (588214)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=526063471:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2990 on theBenchmark for (2990ds/180Mi)
% 10.19/5.31 % (588216)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4023525454:st=2:i=246:sd=3:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/246Mi)
% 10.19/5.31 % (588217)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1635266944:cond=on:i=96:bd=all:rtra=on_2990 on theBenchmark for (2990ds/96Mi)
% 10.19/5.31 % (588213)Instruction limit reached!
% 10.19/5.31 % (588213)------------------------------
% 10.19/5.31 % (588213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.31 % (588213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.31 % (588213)CaDiCaL version: 2.1.3
% 10.19/5.31 % (588213)Termination reason: Instruction limit
% 10.19/5.31 % (588213)Termination phase: shuffling
% 10.19/5.31 % (588213)Time elapsed: 0.042 s
% 10.19/5.31 % (588213)Peak memory usage: 23 MB
% 10.19/5.31 % (588213)Instructions burned: 76 (million)
% 10.19/5.31 % (588221)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2218460101:i=427:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/427Mi)
% 10.19/5.31 % (588217)Instruction limit reached!
% 10.19/5.31 % (588217)------------------------------
% 10.19/5.31 % (588217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.31 % (588217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.31 % (588217)CaDiCaL version: 2.1.3
% 10.19/5.31 % (588217)Termination reason: Instruction limit
% 10.19/5.31 % (588217)Termination phase: shuffling
% 10.19/5.31 % (588217)Time elapsed: 0.052 s
% 10.19/5.31 % (588217)Peak memory usage: 24 MB
% 10.19/5.31 % (588217)Instructions burned: 97 (million)
% 10.19/5.31 % (588216)Instruction limit reached!
% 10.19/5.31 % (588216)------------------------------
% 10.19/5.31 % (588216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.31 % (588216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.31 % (588216)CaDiCaL version: 2.1.3
% 10.19/5.31 % (588216)Termination reason: Instruction limit
% 10.19/5.31 % (588216)Termination phase: shuffling
% 10.19/5.31 % (588216)Time elapsed: 0.065 s
% 10.19/5.31 % (588216)Peak memory usage: 27 MB
% 10.19/5.31 % (588216)Instructions burned: 248 (million)
% 10.19/5.31 % (588224)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3184006619:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/515Mi)
% 10.19/5.31 % (588193)Instruction limit reached!
% 10.19/5.31 % (588193)------------------------------
% 10.19/5.31 % (588193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.31 % (588193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.31 % (588193)CaDiCaL version: 2.1.3
% 10.19/5.31 % (588193)Termination reason: Instruction limit
% 10.19/5.31 % (588193)Termination phase: shuffling
% 10.19/5.31 % (588193)Time elapsed: 0.221 s
% 10.19/5.31 % (588193)Peak memory usage: 30 MB
% 10.19/5.31 % (588193)Instructions burned: 481 (million)
% 10.19/5.31 % (588223)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=252767250:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/874Mi)
% 10.19/5.31 % (588214)Instruction limit reached!
% 10.19/5.31 % (588214)------------------------------
% 10.19/5.31 % (588214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.38 % (588214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.38 % (588214)CaDiCaL version: 2.1.3
% 10.19/5.38 % (588214)Termination reason: Instruction limit
% 10.19/5.38 % (588214)Termination phase: shuffling
% 10.19/5.38 % (588214)Time elapsed: 0.090 s
% 10.19/5.38 % (588214)Peak memory usage: 26 MB
% 10.19/5.38 % (588214)Instructions burned: 181 (million)
% 10.19/5.38 % (588226)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4041323272:st=1.5:i=130:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/130Mi)
% 10.19/5.38 % (588228)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1688489442:i=44:ep=R:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/44Mi)
% 10.19/5.38 % (588228)Instruction limit reached!
% 10.19/5.38 % (588228)------------------------------
% 10.19/5.38 % (588228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.38 % (588228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.38 % (588228)CaDiCaL version: 2.1.3
% 10.19/5.38 % (588228)Termination reason: Instruction limit
% 10.19/5.38 % (588228)Termination phase: shuffling
% 10.19/5.38 % (588228)Time elapsed: 0.028 s
% 10.19/5.38 % (588228)Peak memory usage: 23 MB
% 10.19/5.38 % (588228)Instructions burned: 45 (million)
% 10.19/5.38 % (588231)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=484432877:s2a=on:i=571:nm=16:rtra=on_2988 on theBenchmark for (2988ds/571Mi)
% 10.19/5.38 % (588226)Instruction limit reached!
% 10.19/5.38 % (588226)------------------------------
% 10.19/5.38 % (588226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.38 % (588226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.38 % (588226)CaDiCaL version: 2.1.3
% 10.19/5.38 % (588226)Termination reason: Instruction limit
% 10.19/5.38 % (588226)Termination phase: shuffling
% 10.19/5.38 % (588226)Time elapsed: 0.067 s
% 10.19/5.38 % (588226)Peak memory usage: 25 MB
% 10.19/5.38 % (588226)Instructions burned: 131 (million)
% 10.19/5.38 % (588233)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1387038862:i=450:rtra=on:ixr=off:ntd=on_2988 on theBenchmark for (2988ds/450Mi)
% 10.19/5.38 % (588224)Instruction limit reached!
% 10.19/5.38 % (588224)------------------------------
% 10.19/5.38 % (588224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.38 % (588224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.38 % (588224)CaDiCaL version: 2.1.3
% 10.19/5.38 % (588224)Termination reason: Instruction limit
% 10.19/5.38 % (588224)Termination phase: shuffling
% 10.19/5.38 % (588224)Time elapsed: 0.133 s
% 10.19/5.38 % (588224)Peak memory usage: 31 MB
% 10.19/5.38 % (588224)Instructions burned: 518 (million)
% 10.19/5.38 % (588235)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2180710089:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/95Mi)
% 10.19/5.38 % (588190)Instruction limit reached!
% 10.19/5.38 % (588190)------------------------------
% 10.19/5.38 % (588190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.38 % (588190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.38 % (588190)CaDiCaL version: 2.1.3
% 10.19/5.38 % (588190)Termination reason: Instruction limit
% 10.19/5.38 % (588190)Termination phase: shuffling
% 10.19/5.38 % (588190)Time elapsed: 0.392 s
% 10.19/5.38 % (588190)Peak memory usage: 30 MB
% 10.19/5.38 % (588190)Instructions burned: 853 (million)
% 10.19/5.38 % (588221)Instruction limit reached!
% 10.19/5.38 % (588221)------------------------------
% 10.19/5.38 % (588221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.38 % (588221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.38 % (588221)CaDiCaL version: 2.1.3
% 10.19/5.38 % (588221)Termination reason: Instruction limit
% 10.19/5.38 % (588221)Termination phase: shuffling
% 10.19/5.38 % (588221)Time elapsed: 0.200 s
% 10.19/5.38 % (588221)Peak memory usage: 29 MB
% 10.19/5.38 % (588221)Instructions burned: 428 (million)
% 10.19/5.38 % (588235)Instruction limit reached!
% 10.19/5.38 % (588235)------------------------------
% 10.19/5.38 % (588235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/5.38 % (588235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/5.38 % (588235)CaDiCaL version: 2.1.3
% 11.38/5.54 % (588235)Termination reason: Instruction limit
% 11.38/5.54 % (588235)Termination phase: shuffling
% 11.38/5.54 % (588235)Time elapsed: 0.029 s
% 11.38/5.54 % (588235)Peak memory usage: 24 MB
% 11.38/5.54 % (588235)Instructions burned: 96 (million)
% 11.38/5.54 % (588237)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=703158445:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2987 on theBenchmark for (2987ds/65Mi)
% 11.38/5.54 % (588239)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3401183636:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2987 on theBenchmark for (2987ds/5755Mi)
% 11.38/5.54 % (588238)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1978388377:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2987 on theBenchmark for (2987ds/105Mi)
% 11.38/5.54 % (588237)Instruction limit reached!
% 11.38/5.54 % (588237)------------------------------
% 11.38/5.54 % (588237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.54 % (588237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.54 % (588237)CaDiCaL version: 2.1.3
% 11.38/5.54 % (588237)Termination reason: Instruction limit
% 11.38/5.54 % (588237)Termination phase: shuffling
% 11.38/5.54 % (588237)Time elapsed: 0.038 s
% 11.38/5.54 % (588237)Peak memory usage: 23 MB
% 11.38/5.54 % (588237)Instructions burned: 65 (million)
% 11.38/5.54 % (588243)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1047129382:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/375Mi)
% 11.38/5.54 % (588238)Instruction limit reached!
% 11.38/5.54 % (588238)------------------------------
% 11.38/5.54 % (588238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.54 % (588238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.54 % (588238)CaDiCaL version: 2.1.3
% 11.38/5.54 % (588238)Termination reason: Instruction limit
% 11.38/5.54 % (588238)Termination phase: shuffling
% 11.38/5.54 % (588238)Time elapsed: 0.055 s
% 11.38/5.54 % (588238)Peak memory usage: 25 MB
% 11.38/5.54 % (588238)Instructions burned: 106 (million)
% 11.38/5.54 % (588245)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4066630723:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/495Mi)
% 11.38/5.54 % (588167)Instruction limit reached!
% 11.38/5.54 % (588167)------------------------------
% 11.38/5.54 % (588167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.54 % (588167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.54 % (588167)CaDiCaL version: 2.1.3
% 11.38/5.54 % (588167)Termination reason: Instruction limit
% 11.38/5.54 % (588167)Termination phase: Property scanning
% 11.38/5.54 % (588167)Time elapsed: 0.674 s
% 11.38/5.54 % (588167)Peak memory usage: 43 MB
% 11.38/5.54 % (588167)Instructions burned: 1242 (million)
% 11.38/5.54 % (588233)Instruction limit reached!
% 11.38/5.54 % (588233)------------------------------
% 11.38/5.54 % (588233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.54 % (588233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.54 % (588233)CaDiCaL version: 2.1.3
% 11.38/5.54 % (588233)Termination reason: Instruction limit
% 11.38/5.54 % (588233)Termination phase: shuffling
% 11.38/5.54 % (588233)Time elapsed: 0.208 s
% 11.38/5.54 % (588233)Peak memory usage: 30 MB
% 11.38/5.54 % (588233)Instructions burned: 451 (million)
% 11.38/5.54 % (588231)Instruction limit reached!
% 11.38/5.54 % (588231)------------------------------
% 11.38/5.54 % (588231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.54 % (588231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.54 % (588231)CaDiCaL version: 2.1.3
% 11.38/5.54 % (588231)Termination reason: Instruction limit
% 11.38/5.54 % (588231)Termination phase: Property scanning
% 11.38/5.54 % (588231)Time elapsed: 0.262 s
% 11.38/5.54 % (588231)Peak memory usage: 31 MB
% 11.38/5.54 % (588231)Instructions burned: 573 (million)
% 11.38/5.54 % (588247)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=466125945:cond=on:i=34:hud=10:nm=10:rtra=on_2986 on theBenchmark for (2986ds/34Mi)
% 11.38/5.57 % (588248)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1537543550:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/91Mi)
% 11.38/5.57 % (588251)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3446659782:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2985 on theBenchmark for (2985ds/66Mi)
% 11.38/5.57 % (588247)Instruction limit reached!
% 11.38/5.57 % (588247)------------------------------
% 11.38/5.57 % (588247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588247)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588247)Termination reason: Instruction limit
% 11.38/5.57 % (588247)Termination phase: shuffling
% 11.38/5.57 % (588247)Time elapsed: 0.024 s
% 11.38/5.57 % (588247)Peak memory usage: 23 MB
% 11.38/5.57 % (588247)Instructions burned: 35 (million)
% 11.38/5.57 % (588253)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=65444562:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2985 on theBenchmark for (2985ds/22Mi)
% 11.38/5.57 % (588248)Instruction limit reached!
% 11.38/5.57 % (588248)------------------------------
% 11.38/5.57 % (588248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588248)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588248)Termination reason: Instruction limit
% 11.38/5.57 % (588248)Termination phase: shuffling
% 11.38/5.57 % (588248)Time elapsed: 0.049 s
% 11.38/5.57 % (588248)Peak memory usage: 24 MB
% 11.38/5.57 % (588248)Instructions burned: 93 (million)
% 11.38/5.57 % (588223)Instruction limit reached!
% 11.38/5.57 % (588223)------------------------------
% 11.38/5.57 % (588223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588223)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588223)Termination reason: Instruction limit
% 11.38/5.57 % (588223)Termination phase: Property scanning
% 11.38/5.57 % (588223)Time elapsed: 0.392 s
% 11.38/5.57 % (588223)Peak memory usage: 31 MB
% 11.38/5.57 % (588223)Instructions burned: 876 (million)
% 11.38/5.57 % (588251)Instruction limit reached!
% 11.38/5.57 % (588251)------------------------------
% 11.38/5.57 % (588251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588251)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588251)Termination reason: Instruction limit
% 11.38/5.57 % (588251)Termination phase: shuffling
% 11.38/5.57 % (588251)Time elapsed: 0.039 s
% 11.38/5.57 % (588251)Peak memory usage: 23 MB
% 11.38/5.57 % (588251)Instructions burned: 68 (million)
% 11.38/5.57 % (588253)Instruction limit reached!
% 11.38/5.57 % (588253)------------------------------
% 11.38/5.57 % (588253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588253)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588253)Termination reason: Instruction limit
% 11.38/5.57 % (588253)Termination phase: shuffling
% 11.38/5.57 % (588253)Time elapsed: 0.019 s
% 11.38/5.57 % (588253)Peak memory usage: 23 MB
% 11.38/5.57 % (588253)Instructions burned: 23 (million)
% 11.38/5.57 % (588255)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=413790422:i=338:bd=all:ins=4:rtra=on_2985 on theBenchmark for (2985ds/338Mi)
% 11.38/5.57 % (588243)Instruction limit reached!
% 11.38/5.57 % (588243)------------------------------
% 11.38/5.57 % (588243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588243)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588243)Termination reason: Instruction limit
% 11.38/5.57 % (588243)Termination phase: shuffling
% 11.38/5.57 % (588243)Time elapsed: 0.175 s
% 11.38/5.57 % (588243)Peak memory usage: 28 MB
% 11.38/5.57 % (588243)Instructions burned: 376 (million)
% 11.38/5.57 % (588256)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2264697403:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/28Mi)
% 11.38/5.57 % (588257)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 11.38/5.57 % (588257)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3797924916:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2985 on theBenchmark for (2985ds/137Mi)
% 11.38/5.57 % (588258)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=589265766:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2985 on theBenchmark for (2985ds/340Mi)
% 11.38/5.57 % (588261)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2809870216:i=227:sd=1:bd=all:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/227Mi)
% 11.38/5.57 % (588256)Instruction limit reached!
% 11.38/5.57 % (588256)------------------------------
% 11.38/5.57 % (588256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588256)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588256)Termination reason: Instruction limit
% 11.38/5.57 % (588256)Termination phase: shuffling
% 11.38/5.57 % (588256)Time elapsed: 0.021 s
% 11.38/5.57 % (588256)Peak memory usage: 23 MB
% 11.38/5.57 % (588256)Instructions burned: 28 (million)
% 11.38/5.57 % (588265)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 11.38/5.57 % (588265)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3189574458:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/373Mi)
% 11.38/5.57 % (588257)Instruction limit reached!
% 11.38/5.57 % (588257)------------------------------
% 11.38/5.57 % (588257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588257)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588257)Termination reason: Instruction limit
% 11.38/5.57 % (588257)Termination phase: shuffling
% 11.38/5.57 % (588257)Time elapsed: 0.070 s
% 11.38/5.57 % (588257)Peak memory usage: 25 MB
% 11.38/5.57 % (588257)Instructions burned: 139 (million)
% 11.38/5.57 % (588245)Instruction limit reached!
% 11.38/5.57 % (588245)------------------------------
% 11.38/5.57 % (588245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588245)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588245)Termination reason: Instruction limit
% 11.38/5.57 % (588245)Termination phase: shuffling
% 11.38/5.57 % (588245)Time elapsed: 0.227 s
% 11.38/5.57 % (588245)Peak memory usage: 30 MB
% 11.38/5.57 % (588245)Instructions burned: 496 (million)
% 11.38/5.57 % (588267)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2727202321:i=116:ep=RSTC:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/116Mi)
% 11.38/5.57 % (588268)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3279376455:i=575:rtra=on_2984 on theBenchmark for (2984ds/575Mi)
% 11.38/5.57 % (588261)Instruction limit reached!
% 11.38/5.57 % (588261)------------------------------
% 11.38/5.57 % (588261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588261)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588261)Termination reason: Instruction limit
% 11.38/5.57 % (588261)Termination phase: shuffling
% 11.38/5.57 % (588261)Time elapsed: 0.109 s
% 11.38/5.57 % (588261)Peak memory usage: 26 MB
% 11.38/5.57 % (588261)Instructions burned: 227 (million)
% 11.38/5.57 % (588271)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=575870808:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2983 on theBenchmark for (2983ds/270Mi)
% 11.38/5.57 % (588255)Instruction limit reached!
% 11.38/5.57 % (588255)------------------------------
% 11.38/5.57 % (588255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588255)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588255)Termination reason: Instruction limit
% 11.38/5.57 % (588255)Termination phase: shuffling
% 11.38/5.57 % (588255)Time elapsed: 0.162 s
% 11.38/5.57 % (588255)Peak memory usage: 30 MB
% 11.38/5.57 % (588255)Instructions burned: 340 (million)
% 11.38/5.57 % (588267)Instruction limit reached!
% 11.38/5.57 % (588267)------------------------------
% 11.38/5.57 % (588267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588267)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588267)Termination reason: Instruction limit
% 11.38/5.57 % (588267)Termination phase: shuffling
% 11.38/5.57 % (588267)Time elapsed: 0.060 s
% 11.38/5.57 % (588267)Peak memory usage: 24 MB
% 11.38/5.57 % (588267)Instructions burned: 118 (million)
% 11.38/5.57 % (588239) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-588102-588239"...
% 11.38/5.57 % (588258)Instruction limit reached!
% 11.38/5.57 % (588258)------------------------------
% 11.38/5.57 % (588258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.57 % (588258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.57 % (588258)CaDiCaL version: 2.1.3
% 11.38/5.57 % (588258)Termination reason: Instruction limit
% 11.38/5.57 % (588258)Termination phase: shuffling
% 11.38/5.57 % (588258)Time elapsed: 0.161 s
% 11.38/5.57 % (588258)Peak memory usage: 30 MB
% 11.38/5.57 % (588258)Instructions burned: 342 (million)
% 11.38/5.57 % (588239)...printing done.
% 11.38/5.57 % (588273)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1612984923:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/9840Mi)
% 11.38/5.57 % (588239)Refutation found. Thanks to Tanya!
% 11.38/5.57 % SZS status Theorem for theBenchmark
% 11.38/5.57 % SZS output start Proof for theBenchmark
% See solution above
% 11.38/5.58 % (588239)------------------------------
% 11.38/5.58 % (588239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.38/5.58 % (588239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/5.58 % (588239)CaDiCaL version: 2.1.3
% 11.38/5.58 % (588239)Termination reason: Refutation
% 11.38/5.58 % (588239)Time elapsed: 0.399 s
% 11.38/5.58 % (588239)Peak memory usage: 37 MB
% 11.38/5.58 % (588239)Instructions burned: 1524 (million)
% 11.38/5.58 % (588102)Success in time 1.674 s
% 11.38/5.58 % Vampire exiting
%------------------------------------------------------------------------------