%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP092^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 08:10:39 AM UTC 2026
% Result : Theorem 177.52s 25.25s
% Output : Refutation 177.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 89 ( 40 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 378 ( 19 ~; 0 |; 0 &; 331 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 56 ( 55 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 632 ( 628 usr; 14 con; 0-7 aty)
% ( 28 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 92 ( 36 ^; 52 !; 4 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr779272263od_a_a: $tType ).
thf(type_def_6,type,
produc205693799od_a_a: $tType ).
thf(type_def_7,type,
set_Pr1295299783od_a_a: $tType ).
thf(type_def_8,type,
produc1990712039od_a_a: $tType ).
thf(type_def_9,type,
produc1912141786_a_a_a: $tType ).
thf(type_def_10,type,
set_Pr727105414od_a_a: $tType ).
thf(type_def_11,type,
set_Pr1239640519od_a_a: $tType ).
thf(type_def_12,type,
produc501911462od_a_a: $tType ).
thf(type_def_13,type,
produc657724903od_a_a: $tType ).
thf(type_def_14,type,
produc821581462od_a_a: $tType ).
thf(type_def_15,type,
set_Pr800560199od_a_a: $tType ).
thf(type_def_16,type,
produc651658087od_a_a: $tType ).
thf(type_def_17,type,
set_Pr110478017_a_a_a: $tType ).
thf(type_def_18,type,
set_Pr753687879_a_nat: $tType ).
thf(type_def_19,type,
produc1197928545_a_a_a: $tType ).
thf(type_def_20,type,
list_P1891567085od_a_a: $tType ).
thf(type_def_21,type,
set_Pr1948701895od_a_a: $tType ).
thf(type_def_22,type,
set_Pr1742859527list_a: $tType ).
thf(type_def_23,type,
pair_p1891813445t_unit: $tType ).
thf(type_def_24,type,
produc1334933863_a_nat: $tType ).
thf(type_def_25,type,
list_P1435957893_a_nat: $tType ).
thf(type_def_26,type,
produc1572603623od_a_a: $tType ).
thf(type_def_27,type,
produc403652391list_a: $tType ).
thf(type_def_28,type,
list_P1175580892od_a_a: $tType ).
thf(type_def_29,type,
list_P305489470_a_a_a: $tType ).
thf(type_def_30,type,
set_Pr248149174od_a_a: $tType ).
thf(type_def_31,type,
set_Pr1525541400_a_a_a: $tType ).
thf(type_def_32,type,
pair_p125712459t_unit: $tType ).
thf(type_def_33,type,
set_Pr1940702919_a_nat: $tType ).
thf(type_def_34,type,
produc664688895_a_nat: $tType ).
thf(type_def_35,type,
produc1701253078od_a_a: $tType ).
thf(type_def_36,type,
produc657167928_a_a_a: $tType ).
thf(type_def_37,type,
list_P1458844246od_a_a: $tType ).
thf(type_def_38,type,
list_P319927492_a_a_a: $tType ).
thf(type_def_39,type,
list_P601816365list_a: $tType ).
thf(type_def_40,type,
set_Pr1971762695list_a: $tType ).
thf(type_def_41,type,
produc1178641895_a_nat: $tType ).
thf(type_def_42,type,
list_P576104046_a_nat: $tType ).
thf(type_def_43,type,
list_P916011052_nat_a: $tType ).
thf(type_def_44,type,
produc1921647824od_a_a: $tType ).
thf(type_def_45,type,
produc1016684094_a_a_a: $tType ).
thf(type_def_46,type,
produc864062247list_a: $tType ).
thf(type_def_47,type,
list_l1108175539od_a_a: $tType ).
thf(type_def_48,type,
set_li562223245od_a_a: $tType ).
thf(type_def_49,type,
product_prod_a_a_nat: $tType ).
thf(type_def_50,type,
product_prod_a_nat_a: $tType ).
thf(type_def_51,type,
list_P1467822637od_a_a: $tType ).
thf(type_def_52,type,
set_Product_prod_a_a: $tType ).
thf(type_def_53,type,
list_a_nat: $tType ).
thf(type_def_54,type,
product_prod_a_a: $tType ).
thf(type_def_55,type,
list_list_a: $tType ).
thf(type_def_56,type,
list_a: $tType ).
thf(type_def_57,type,
set_a: $tType ).
thf(type_def_58,type,
nat: $tType ).
thf(type_def_59,type,
a: $tType ).
thf(type_def_60,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
if_lis321365491od_a_a: $o > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_1,type,
kurato292963650list_a: list_P601816365list_a > $o ).
thf(func_def_2,type,
kurato1404746725od_a_a: list_P1891567085od_a_a > $o ).
thf(func_def_3,type,
kurato1072996284sing_a: list_P1467822637od_a_a > $o ).
thf(func_def_4,type,
append_a_nat: list_a_nat > list_a_nat > list_a_nat ).
thf(func_def_5,type,
append2141280328od_a_a: list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a ).
thf(func_def_6,type,
append_list_a: list_list_a > list_list_a > list_list_a ).
thf(func_def_7,type,
append750086082list_a: list_P601816365list_a > list_P601816365list_a > list_P601816365list_a ).
thf(func_def_8,type,
append864718978od_a_a: list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a ).
thf(func_def_9,type,
append1574001858od_a_a: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_10,type,
append_a: list_a > list_a > list_a ).
thf(func_def_11,type,
bind_a1190333103od_a_a: list_a_nat > ( ( a > nat ) > list_P1467822637od_a_a ) > list_P1467822637od_a_a ).
thf(func_def_12,type,
bind_a_nat_a: list_a_nat > ( ( a > nat ) > list_a ) > list_a ).
thf(func_def_13,type,
bind_l618536897od_a_a: list_l1108175539od_a_a > ( list_P1467822637od_a_a > list_P1467822637od_a_a ) > list_P1467822637od_a_a ).
thf(func_def_14,type,
bind_l1307590552_a_a_a: list_l1108175539od_a_a > ( list_P1467822637od_a_a > list_a ) > list_a ).
thf(func_def_15,type,
bind_P240085581od_a_a: list_P1467822637od_a_a > ( product_prod_a_a > list_l1108175539od_a_a ) > list_l1108175539od_a_a ).
thf(func_def_16,type,
bind_P1783625031od_a_a: list_P1467822637od_a_a > ( product_prod_a_a > list_P1467822637od_a_a ) > list_P1467822637od_a_a ).
thf(func_def_17,type,
bind_P293964574_a_a_a: list_P1467822637od_a_a > ( product_prod_a_a > list_a ) > list_a ).
thf(func_def_18,type,
bind_a883992246od_a_a: list_a > ( a > list_l1108175539od_a_a ) > list_l1108175539od_a_a ).
thf(func_def_19,type,
bind_a1679112752od_a_a: list_a > ( a > list_P1467822637od_a_a ) > list_P1467822637od_a_a ).
thf(func_def_20,type,
bind_a_a: list_a > ( a > list_a ) > list_a ).
thf(func_def_21,type,
concat1878217064od_a_a: list_l1108175539od_a_a > list_P1467822637od_a_a ).
thf(func_def_22,type,
insert2123825731od_a_a: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_23,type,
lenlex2038501170od_a_a: set_Pr1948701895od_a_a > set_Pr800560199od_a_a ).
thf(func_def_24,type,
lenlex_a: set_Product_prod_a_a > set_Pr1971762695list_a ).
thf(func_def_25,type,
lex_Product_prod_a_a: set_Pr1948701895od_a_a > set_Pr800560199od_a_a ).
thf(func_def_26,type,
lex_a: set_Product_prod_a_a > set_Pr1971762695list_a ).
thf(func_def_27,type,
lexord_a_nat: set_Pr1940702919_a_nat > set_Pr753687879_a_nat ).
thf(func_def_28,type,
lexord1284731808od_a_a: set_Pr800560199od_a_a > set_Pr1239640519od_a_a ).
thf(func_def_29,type,
lexord_list_a: set_Pr1971762695list_a > set_Pr1742859527list_a ).
thf(func_def_30,type,
lexord931792858od_a_a: set_Pr1295299783od_a_a > set_Pr779272263od_a_a ).
thf(func_def_31,type,
lexord673907738od_a_a: set_Pr1948701895od_a_a > set_Pr800560199od_a_a ).
thf(func_def_32,type,
lexord_a: set_Product_prod_a_a > set_Pr1971762695list_a ).
thf(func_def_33,type,
cons_a_nat: ( a > nat ) > list_a_nat > list_a_nat ).
thf(func_def_34,type,
cons_l724116707od_a_a: list_P1467822637od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a ).
thf(func_def_35,type,
cons_list_a: list_a > list_list_a > list_list_a ).
thf(func_def_36,type,
cons_P896312284_nat_a: product_prod_a_nat_a > list_P916011052_nat_a > list_P916011052_nat_a ).
thf(func_def_37,type,
cons_P169173742_a_a_a: produc657167928_a_a_a > list_P305489470_a_a_a > list_P305489470_a_a_a ).
thf(func_def_38,type,
cons_P2080942813list_a: produc864062247list_a > list_P601816365list_a > list_P601816365list_a ).
thf(func_def_39,type,
cons_P659009461_a_nat: produc664688895_a_nat > list_P1435957893_a_nat > list_P1435957893_a_nat ).
thf(func_def_40,type,
cons_P1070399645od_a_a: produc1572603623od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a ).
thf(func_def_41,type,
cons_P86081012_a_a_a: produc1016684094_a_a_a > list_P319927492_a_a_a > list_P319927492_a_a_a ).
thf(func_def_42,type,
cons_P1915851550_a_nat: product_prod_a_a_nat > list_P576104046_a_nat > list_P576104046_a_nat ).
thf(func_def_43,type,
cons_P1213258892od_a_a: produc1701253078od_a_a > list_P1175580892od_a_a > list_P1175580892od_a_a ).
thf(func_def_44,type,
cons_P991044742od_a_a: produc1921647824od_a_a > list_P1458844246od_a_a > list_P1458844246od_a_a ).
thf(func_def_45,type,
cons_P1921020637od_a_a: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_46,type,
cons_a: a > list_a > list_a ).
thf(func_def_47,type,
nil_a_nat: list_a_nat ).
thf(func_def_48,type,
nil_li1885598003od_a_a: list_l1108175539od_a_a ).
thf(func_def_49,type,
nil_Pr1049924845od_a_a: list_P1891567085od_a_a ).
thf(func_def_50,type,
nil_Product_prod_a_a: list_P1467822637od_a_a ).
thf(func_def_51,type,
nil_a: list_a ).
thf(func_def_52,type,
set_li1284606018od_a_a: list_l1108175539od_a_a > set_li562223245od_a_a ).
thf(func_def_53,type,
set_Product_prod_a_a2: list_P1467822637od_a_a > set_Product_prod_a_a ).
thf(func_def_54,type,
set_a2: list_a > set_a ).
thf(func_def_55,type,
listrel1_a_nat: set_Pr1940702919_a_nat > set_Pr753687879_a_nat ).
thf(func_def_56,type,
listre651914124od_a_a: set_Pr800560199od_a_a > set_Pr1239640519od_a_a ).
thf(func_def_57,type,
listrel1_list_a: set_Pr1971762695list_a > set_Pr1742859527list_a ).
thf(func_def_58,type,
listre1832537542od_a_a: set_Pr1295299783od_a_a > set_Pr779272263od_a_a ).
thf(func_def_59,type,
listre944824838od_a_a: set_Pr1948701895od_a_a > set_Pr800560199od_a_a ).
thf(func_def_60,type,
listrel1_a: set_Product_prod_a_a > set_Pr1971762695list_a ).
thf(func_def_61,type,
listre2074280881od_a_a: set_Pr1948701895od_a_a > set_Pr800560199od_a_a ).
thf(func_def_62,type,
listrel_a_a: set_Product_prod_a_a > set_Pr1971762695list_a ).
thf(func_def_63,type,
maps_a836827497od_a_a: ( ( a > nat ) > list_P1467822637od_a_a ) > list_a_nat > list_P1467822637od_a_a ).
thf(func_def_64,type,
maps_a_nat_a: ( ( a > nat ) > list_a ) > list_a_nat > list_a ).
thf(func_def_65,type,
maps_l1117535867od_a_a: ( list_P1467822637od_a_a > list_P1467822637od_a_a ) > list_l1108175539od_a_a > list_P1467822637od_a_a ).
thf(func_def_66,type,
maps_l1091119186_a_a_a: ( list_P1467822637od_a_a > list_a ) > list_l1108175539od_a_a > list_a ).
thf(func_def_67,type,
maps_P739084551od_a_a: ( product_prod_a_a > list_l1108175539od_a_a ) > list_P1467822637od_a_a > list_l1108175539od_a_a ).
thf(func_def_68,type,
maps_P1529886977od_a_a: ( product_prod_a_a > list_P1467822637od_a_a ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_69,type,
maps_P321755352_a_a_a: ( product_prod_a_a > list_a ) > list_P1467822637od_a_a > list_a ).
thf(func_def_70,type,
maps_a667520880od_a_a: ( a > list_l1108175539od_a_a ) > list_a > list_l1108175539od_a_a ).
thf(func_def_71,type,
maps_a1706903530od_a_a: ( a > list_P1467822637od_a_a ) > list_a > list_P1467822637od_a_a ).
thf(func_def_72,type,
maps_a_a: ( a > list_a ) > list_a > list_a ).
thf(func_def_73,type,
measures_a: list_a_nat > set_Product_prod_a_a ).
thf(func_def_74,type,
member_a_nat: list_a_nat > ( a > nat ) > $o ).
thf(func_def_75,type,
member261538120od_a_a: list_l1108175539od_a_a > list_P1467822637od_a_a > $o ).
thf(func_def_76,type,
member2070313346od_a_a: list_P1891567085od_a_a > produc1572603623od_a_a > $o ).
thf(func_def_77,type,
member1112491458od_a_a: list_P1467822637od_a_a > product_prod_a_a > $o ).
thf(func_def_78,type,
member_a: list_a > a > $o ).
thf(func_def_79,type,
subseq2115548028od_a_a: list_P1467822637od_a_a > list_l1108175539od_a_a ).
thf(func_def_80,type,
zip_a_nat_a: list_a_nat > list_a > list_P916011052_nat_a ).
thf(func_def_81,type,
zip_li245157064_a_a_a: list_l1108175539od_a_a > list_a > list_P305489470_a_a_a ).
thf(func_def_82,type,
zip_list_a_list_a: list_list_a > list_list_a > list_P601816365list_a ).
thf(func_def_83,type,
zip_Pr24086287_a_nat: list_P1467822637od_a_a > list_a_nat > list_P1435957893_a_nat ).
thf(func_def_84,type,
zip_Pr792472183od_a_a: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1891567085od_a_a ).
thf(func_def_85,type,
zip_Pr201224270_a_a_a: list_P1467822637od_a_a > list_a > list_P319927492_a_a_a ).
thf(func_def_86,type,
zip_a_a_nat: list_a > list_a_nat > list_P576104046_a_nat ).
thf(func_def_87,type,
zip_a_1969042406od_a_a: list_a > list_l1108175539od_a_a > list_P1175580892od_a_a ).
thf(func_def_88,type,
zip_a_1586372448od_a_a: list_a > list_P1467822637od_a_a > list_P1458844246od_a_a ).
thf(func_def_89,type,
zip_a_a: list_a > list_a > list_P1467822637od_a_a ).
thf(func_def_90,type,
size_s642698393od_a_a: list_P1467822637od_a_a > nat ).
thf(func_def_91,type,
size_size_list_a: list_a > nat ).
thf(func_def_92,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_93,type,
pair_co_path_a: product_prod_a_a > a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_94,type,
pair_co_path_rel_a: produc821581462od_a_a > produc821581462od_a_a > $o ).
thf(func_def_95,type,
pair_p2140537249od_a_a: product_prod_a_a > list_P1891567085od_a_a > list_P1467822637od_a_a ).
thf(func_def_96,type,
pair_sd_path_a: product_prod_a_a > a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_97,type,
pair_sd_path_rel_a: produc821581462od_a_a > produc821581462od_a_a > $o ).
thf(func_def_98,type,
invers1007791577list_a: list_P1467822637od_a_a > a > a ).
thf(func_def_99,type,
invers214109608_rel_a: produc657167928_a_a_a > produc657167928_a_a_a > $o ).
thf(func_def_100,type,
list_permutes_a: list_P1467822637od_a_a > set_a > $o ).
thf(func_def_101,type,
permut1422637723list_a: list_P1467822637od_a_a > a > a ).
thf(func_def_102,type,
produc214132118od_a_a: ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > produc501911462od_a_a ).
thf(func_def_103,type,
produc1569872215_a_nat: ( a > nat ) > ( a > nat ) > produc1178641895_a_nat ).
thf(func_def_104,type,
product_Pair_a_nat_a: ( a > nat ) > a > product_prod_a_nat_a ).
thf(func_def_105,type,
produc1430747863_a_nat: list_a_nat > list_a_nat > produc1334933863_a_nat ).
thf(func_def_106,type,
produc915218007od_a_a: list_l1108175539od_a_a > list_l1108175539od_a_a > produc657724903od_a_a ).
thf(func_def_107,type,
produc2583831list_a: list_list_a > list_list_a > produc403652391list_a ).
thf(func_def_108,type,
produc461662679od_a_a: list_P1891567085od_a_a > list_P1891567085od_a_a > produc205693799od_a_a ).
thf(func_def_109,type,
produc85179863od_a_a: list_P1467822637od_a_a > list_P1467822637od_a_a > produc651658087od_a_a ).
thf(func_def_110,type,
produc998622632_a_a_a: list_P1467822637od_a_a > a > produc657167928_a_a_a ).
thf(func_def_111,type,
produc1448356631list_a: list_a > list_a > produc864062247list_a ).
thf(func_def_112,type,
produc74075722_a_a_a: pair_p125712459t_unit > produc1016684094_a_a_a > produc1912141786_a_a_a ).
thf(func_def_113,type,
produc1935643479od_a_a: produc1572603623od_a_a > produc1572603623od_a_a > produc1990712039od_a_a ).
thf(func_def_114,type,
produc825466863_a_nat: product_prod_a_a > ( a > nat ) > produc664688895_a_nat ).
thf(func_def_115,type,
produc600870406od_a_a: product_prod_a_a > produc1701253078od_a_a > produc821581462od_a_a ).
thf(func_def_116,type,
produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a ).
thf(func_def_117,type,
produc2061588782_a_a_a: product_prod_a_a > a > produc1016684094_a_a_a ).
thf(func_def_118,type,
product_Pair_a_a_nat: a > ( a > nat ) > product_prod_a_a_nat ).
thf(func_def_119,type,
produc575024326od_a_a: a > list_P1467822637od_a_a > produc1701253078od_a_a ).
thf(func_def_120,type,
produc1440321489_a_a_a: a > produc657167928_a_a_a > produc1197928545_a_a_a ).
thf(func_def_121,type,
produc1299253312od_a_a: a > product_prod_a_a > produc1921647824od_a_a ).
thf(func_def_122,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_123,type,
asym_a: set_Product_prod_a_a > $o ).
thf(func_def_124,type,
irrefl76447196od_a_a: set_Pr1948701895od_a_a > $o ).
thf(func_def_125,type,
irrefl_a: set_Product_prod_a_a > $o ).
thf(func_def_126,type,
collec1811041560od_a_a: ( list_P1467822637od_a_a > $o ) > set_li562223245od_a_a ).
thf(func_def_127,type,
collec1566074578od_a_a: ( produc651658087od_a_a > $o ) > set_Pr800560199od_a_a ).
thf(func_def_128,type,
collec656258194list_a: ( produc864062247list_a > $o ) > set_Pr1971762695list_a ).
thf(func_def_129,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_130,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_131,type,
the_el1640649244od_a_a: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_132,type,
accp_P941981633_a_a_a: ( produc657167928_a_a_a > produc657167928_a_a_a > $o ) > produc657167928_a_a_a > $o ).
thf(func_def_133,type,
accp_P1029463583od_a_a: ( produc821581462od_a_a > produc821581462od_a_a > $o ) > produc821581462od_a_a > $o ).
thf(func_def_134,type,
member1578987478od_a_a: list_P1467822637od_a_a > set_li562223245od_a_a > $o ).
thf(func_def_135,type,
member372644687od_a_a: produc501911462od_a_a > set_Pr727105414od_a_a > $o ).
thf(func_def_136,type,
member125757712_a_nat: produc1178641895_a_nat > set_Pr1940702919_a_nat > $o ).
thf(func_def_137,type,
member688761744_a_nat: produc1334933863_a_nat > set_Pr753687879_a_nat > $o ).
thf(func_def_138,type,
member8108048od_a_a: produc657724903od_a_a > set_Pr1239640519od_a_a > $o ).
thf(func_def_139,type,
member888406864list_a: produc403652391list_a > set_Pr1742859527list_a > $o ).
thf(func_def_140,type,
member1254757008od_a_a: produc205693799od_a_a > set_Pr779272263od_a_a > $o ).
thf(func_def_141,type,
member1691432592od_a_a: produc651658087od_a_a > set_Pr800560199od_a_a > $o ).
thf(func_def_142,type,
member430654177_a_a_a: produc657167928_a_a_a > set_Pr1525541400_a_a_a > $o ).
thf(func_def_143,type,
member1250517072list_a: produc864062247list_a > set_Pr1971762695list_a > $o ).
thf(func_def_144,type,
member1899387664od_a_a: produc1990712039od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_145,type,
member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_146,type,
member1474739327od_a_a: produc1701253078od_a_a > set_Pr248149174od_a_a > $o ).
thf(func_def_147,type,
member1904151562_a_a_a: produc1197928545_a_a_a > set_Pr110478017_a_a_a > $o ).
thf(func_def_148,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_149,type,
member_a2: a > set_a > $o ).
thf(func_def_150,type,
e: product_prod_a_a ).
thf(func_def_151,type,
es: list_P1467822637od_a_a ).
thf(func_def_155,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_156,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_157,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_158,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_159,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_160,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_161,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_162,type,
vNOT: $o > $o ).
thf(func_def_163,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_164,type,
vAND: $o > $o > $o ).
thf(func_def_165,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_166,type,
vOR: $o > $o > $o ).
thf(func_def_167,type,
vIMP: $o > $o > $o ).
thf(func_def_168,type,
sP0: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > $o ).
thf(func_def_169,type,
sP1: list_P1467822637od_a_a > list_P1467822637od_a_a > $o ).
thf(func_def_170,type,
sP2: product_prod_a_a > a > a > a > product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ).
thf(func_def_171,type,
sP3: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > $o ).
thf(func_def_172,type,
sP4: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > a > $o ).
thf(func_def_173,type,
sP5: list_P1467822637od_a_a > a > a > a > list_P1467822637od_a_a > $o ).
thf(func_def_174,type,
sP6: list_P1467822637od_a_a > a > a > $o ).
thf(func_def_175,type,
sK7: ( produc657167928_a_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_176,type,
sK8: ( produc657167928_a_a_a > $o ) > a ).
thf(func_def_177,type,
sK9: ( produc864062247list_a > $o ) > list_a ).
thf(func_def_178,type,
sK10: ( produc864062247list_a > $o ) > list_a ).
thf(func_def_179,type,
sK11: ( produc501911462od_a_a > $o ) > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_180,type,
sK12: ( produc501911462od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_181,type,
sK13: ( produc1197928545_a_a_a > $o ) > a ).
thf(func_def_182,type,
sK14: ( produc1197928545_a_a_a > $o ) > produc657167928_a_a_a ).
thf(func_def_183,type,
sK15: ( produc1701253078od_a_a > $o ) > a ).
thf(func_def_184,type,
sK16: ( produc1701253078od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_185,type,
sK17: ( product_prod_a_a > $o ) > a ).
thf(func_def_186,type,
sK18: ( product_prod_a_a > $o ) > a ).
thf(func_def_187,type,
sK19: produc657167928_a_a_a > list_P1467822637od_a_a ).
thf(func_def_188,type,
sK20: produc657167928_a_a_a > a ).
thf(func_def_189,type,
sK21: produc864062247list_a > list_a ).
thf(func_def_190,type,
sK22: produc864062247list_a > list_a ).
thf(func_def_191,type,
sK23: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_192,type,
sK24: produc501911462od_a_a > list_P1467822637od_a_a ).
thf(func_def_193,type,
sK25: produc1197928545_a_a_a > a ).
thf(func_def_194,type,
sK26: produc1197928545_a_a_a > produc657167928_a_a_a ).
thf(func_def_195,type,
sK27: produc1701253078od_a_a > a ).
thf(func_def_196,type,
sK28: produc1701253078od_a_a > list_P1467822637od_a_a ).
thf(func_def_197,type,
sK29: product_prod_a_a > a ).
thf(func_def_198,type,
sK30: product_prod_a_a > a ).
thf(func_def_199,type,
sK31: ( produc1197928545_a_a_a > $o ) > a ).
thf(func_def_200,type,
sK32: ( produc1197928545_a_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_201,type,
sK33: ( produc1197928545_a_a_a > $o ) > a ).
thf(func_def_202,type,
sK34: produc1197928545_a_a_a > a ).
thf(func_def_203,type,
sK35: produc1197928545_a_a_a > list_P1467822637od_a_a ).
thf(func_def_204,type,
sK36: produc1197928545_a_a_a > a ).
thf(func_def_205,type,
sK37: ( produc657167928_a_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_206,type,
sK38: ( produc657167928_a_a_a > $o ) > a ).
thf(func_def_207,type,
sK39: ( produc864062247list_a > $o ) > list_a ).
thf(func_def_208,type,
sK40: ( produc864062247list_a > $o ) > list_a ).
thf(func_def_209,type,
sK41: ( produc501911462od_a_a > $o ) > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_210,type,
sK42: ( produc501911462od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_211,type,
sK43: ( produc1197928545_a_a_a > $o ) > a ).
thf(func_def_212,type,
sK44: ( produc1197928545_a_a_a > $o ) > produc657167928_a_a_a ).
thf(func_def_213,type,
sK45: ( produc1701253078od_a_a > $o ) > a ).
thf(func_def_214,type,
sK46: ( produc1701253078od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_215,type,
sK47: ( product_prod_a_a > $o ) > a ).
thf(func_def_216,type,
sK48: ( product_prod_a_a > $o ) > a ).
thf(func_def_217,type,
sK49: produc657167928_a_a_a > list_P1467822637od_a_a ).
thf(func_def_218,type,
sK50: produc657167928_a_a_a > a ).
thf(func_def_219,type,
sK51: produc864062247list_a > list_a ).
thf(func_def_220,type,
sK52: produc864062247list_a > list_a ).
thf(func_def_221,type,
sK53: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_222,type,
sK54: produc501911462od_a_a > list_P1467822637od_a_a ).
thf(func_def_223,type,
sK55: produc1197928545_a_a_a > a ).
thf(func_def_224,type,
sK56: produc1197928545_a_a_a > produc657167928_a_a_a ).
thf(func_def_225,type,
sK57: produc1701253078od_a_a > a ).
thf(func_def_226,type,
sK58: produc1701253078od_a_a > list_P1467822637od_a_a ).
thf(func_def_227,type,
sK59: product_prod_a_a > a ).
thf(func_def_228,type,
sK60: product_prod_a_a > a ).
thf(func_def_229,type,
sK61: set_Pr1295299783od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > produc1572603623od_a_a ).
thf(func_def_230,type,
sK62: set_Pr1295299783od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > produc1572603623od_a_a ).
thf(func_def_231,type,
sK63: set_Pr1295299783od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a ).
thf(func_def_232,type,
sK64: set_Pr1295299783od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a ).
thf(func_def_233,type,
sK65: set_Pr800560199od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_P1467822637od_a_a ).
thf(func_def_234,type,
sK66: set_Pr800560199od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_P1467822637od_a_a ).
thf(func_def_235,type,
sK67: set_Pr800560199od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a ).
thf(func_def_236,type,
sK68: set_Pr800560199od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a ).
thf(func_def_237,type,
sK69: set_Pr1940702919_a_nat > list_a_nat > list_a_nat > a > nat ).
thf(func_def_238,type,
sK70: set_Pr1940702919_a_nat > list_a_nat > list_a_nat > a > nat ).
thf(func_def_239,type,
sK71: set_Pr1940702919_a_nat > list_a_nat > list_a_nat > list_a_nat ).
thf(func_def_240,type,
sK72: set_Pr1940702919_a_nat > list_a_nat > list_a_nat > list_a_nat ).
thf(func_def_241,type,
sK73: set_Pr1971762695list_a > list_list_a > list_list_a > list_a ).
thf(func_def_242,type,
sK74: set_Pr1971762695list_a > list_list_a > list_list_a > list_a ).
thf(func_def_243,type,
sK75: set_Pr1971762695list_a > list_list_a > list_list_a > list_list_a ).
thf(func_def_244,type,
sK76: set_Pr1971762695list_a > list_list_a > list_list_a > list_list_a ).
thf(func_def_245,type,
sK77: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_246,type,
sK78: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_247,type,
sK79: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_248,type,
sK80: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_249,type,
sK81: set_Product_prod_a_a > list_a > list_a > a ).
thf(func_def_250,type,
sK82: set_Product_prod_a_a > list_a > list_a > a ).
thf(func_def_251,type,
sK83: set_Product_prod_a_a > list_a > list_a > list_a ).
thf(func_def_252,type,
sK84: set_Product_prod_a_a > list_a > list_a > list_a ).
thf(func_def_253,type,
sK85: ( pair_p1891813445t_unit > produc864062247list_a > list_a > $o ) > pair_p1891813445t_unit ).
thf(func_def_254,type,
sK86: ( pair_p1891813445t_unit > produc864062247list_a > list_a > $o ) > list_a ).
thf(func_def_255,type,
sK87: ( pair_p1891813445t_unit > produc864062247list_a > list_a > $o ) > list_a ).
thf(func_def_256,type,
sK88: ( pair_p1891813445t_unit > produc864062247list_a > list_a > $o ) > list_a ).
thf(func_def_257,type,
sK89: ( pair_p125712459t_unit > product_prod_a_a > a > $o ) > pair_p125712459t_unit ).
thf(func_def_258,type,
sK90: ( pair_p125712459t_unit > product_prod_a_a > a > $o ) > a ).
thf(func_def_259,type,
sK91: ( pair_p125712459t_unit > product_prod_a_a > a > $o ) > a ).
thf(func_def_260,type,
sK92: ( pair_p125712459t_unit > product_prod_a_a > a > $o ) > a ).
thf(func_def_261,type,
sK93: set_Pr800560199od_a_a > list_P1467822637od_a_a ).
thf(func_def_262,type,
sK94: set_Pr800560199od_a_a > list_P1467822637od_a_a ).
thf(func_def_263,type,
sK95: set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_264,type,
sK96: set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_265,type,
sK97: set_Pr1971762695list_a > list_a ).
thf(func_def_266,type,
sK98: set_Pr1971762695list_a > list_a ).
thf(func_def_267,type,
sK99: set_Product_prod_a_a > a ).
thf(func_def_268,type,
sK100: set_Product_prod_a_a > a ).
thf(func_def_269,type,
sK101: set_Product_prod_a_a > a ).
thf(func_def_270,type,
sK102: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_271,type,
sK103: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > product_prod_a_a ).
thf(func_def_272,type,
sK104: set_Product_prod_a_a > list_a > list_a > a > list_a ).
thf(func_def_273,type,
sK105: set_Product_prod_a_a > list_a > list_a > a > a ).
thf(func_def_274,type,
sK106: set_Pr1948701895od_a_a > list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_275,type,
sK107: set_Pr1948701895od_a_a > list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_276,type,
sK108: set_Product_prod_a_a > list_a > a > list_a > list_a ).
thf(func_def_277,type,
sK109: set_Product_prod_a_a > list_a > a > list_a > a ).
thf(func_def_278,type,
sK110: set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_279,type,
sK111: set_Product_prod_a_a > a ).
thf(func_def_280,type,
sK112: list_P1891567085od_a_a > produc1572603623od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_281,type,
sK113: list_P1891567085od_a_a > produc1572603623od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_282,type,
sK114: list_P1891567085od_a_a > produc1572603623od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_283,type,
sK115: list_P1891567085od_a_a > produc1572603623od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_284,type,
sK116: list_P1467822637od_a_a > product_prod_a_a > list_a > list_a > a ).
thf(func_def_285,type,
sK117: list_P1467822637od_a_a > product_prod_a_a > list_a > list_a > list_a ).
thf(func_def_286,type,
sK118: list_P1467822637od_a_a > product_prod_a_a > list_a > list_a > a ).
thf(func_def_287,type,
sK119: list_P1467822637od_a_a > product_prod_a_a > list_a > list_a > list_a ).
thf(func_def_288,type,
sK120: produc1912141786_a_a_a > pair_p125712459t_unit ).
thf(func_def_289,type,
sK121: produc1912141786_a_a_a > a ).
thf(func_def_290,type,
sK122: produc1912141786_a_a_a > a ).
thf(func_def_291,type,
sK123: produc1912141786_a_a_a > a ).
thf(func_def_292,type,
sK124: set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_293,type,
sK125: set_Product_prod_a_a > a ).
thf(func_def_294,type,
sK126: set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_295,type,
sK127: set_Product_prod_a_a > a ).
thf(func_def_296,type,
sK128: a > list_a > list_a > a ).
thf(func_def_297,type,
sK129: a > list_a > list_a > a ).
thf(func_def_298,type,
sK130: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_299,type,
sK131: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_300,type,
sK132: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_301,type,
sK133: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_302,type,
sK134: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_303,type,
sK135: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_304,type,
sK136: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_305,type,
sK137: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_306,type,
sK138: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_307,type,
sK139: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_308,type,
sK140: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_309,type,
sK141: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_310,type,
sK142: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_311,type,
sK143: ( list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_312,type,
sK144: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_313,type,
sK145: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_314,type,
sK146: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_315,type,
sK147: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_316,type,
sK148: list_l1108175539od_a_a > product_prod_a_a ).
thf(func_def_317,type,
sK149: list_l1108175539od_a_a > list_P1467822637od_a_a ).
thf(func_def_318,type,
sK150: list_l1108175539od_a_a > list_l1108175539od_a_a ).
thf(func_def_319,type,
sK151: list_l1108175539od_a_a > list_l1108175539od_a_a ).
thf(func_def_320,type,
sK152: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_321,type,
sK153: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_322,type,
sK154: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_323,type,
sK155: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_324,type,
sK156: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_325,type,
sK157: list_P1467822637od_a_a > product_prod_a_a > product_prod_a_a ).
thf(func_def_326,type,
sK158: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_327,type,
sK159: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_328,type,
sK160: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_329,type,
sK161: produc501911462od_a_a > product_prod_a_a ).
thf(func_def_330,type,
sK162: produc501911462od_a_a > list_P1467822637od_a_a ).
thf(func_def_331,type,
sK163: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_332,type,
sK164: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_333,type,
sK165: produc501911462od_a_a > product_prod_a_a ).
thf(func_def_334,type,
sK166: produc501911462od_a_a > product_prod_a_a ).
thf(func_def_335,type,
sK167: produc501911462od_a_a > list_P1467822637od_a_a ).
thf(func_def_336,type,
sK168: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_337,type,
sK169: produc501911462od_a_a > product_prod_a_a ).
thf(func_def_338,type,
sK170: produc501911462od_a_a > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_339,type,
sK171: ( ( product_prod_a_a > product_prod_a_a ) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a > product_prod_a_a ).
thf(func_def_340,type,
sK172: ( ( product_prod_a_a > product_prod_a_a ) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_341,type,
sK173: ( ( product_prod_a_a > product_prod_a_a ) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_342,type,
sK174: ( ( product_prod_a_a > product_prod_a_a ) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_343,type,
sK175: ( ( product_prod_a_a > product_prod_a_a ) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a > product_prod_a_a ).
thf(func_def_344,type,
sK176: ( ( product_prod_a_a > product_prod_a_a ) > list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_345,type,
sK177: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_346,type,
sK178: ( list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_347,type,
sK179: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_348,type,
sK180: ( ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > $o ) > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_349,type,
sK181: ( ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_350,type,
sK182: ( ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_351,type,
sK183: ( ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_352,type,
sK184: ( ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > $o ) > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_353,type,
sK185: ( ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_354,type,
sK186: ( ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > $o ) > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_355,type,
sK187: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_356,type,
sK188: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_357,type,
sK189: ( list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_358,type,
sK190: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_359,type,
sK191: ( ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > $o ) > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_360,type,
sK192: ( ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_361,type,
sK193: ( ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_362,type,
sK194: ( ( product_prod_a_a > product_prod_a_a > $o ) > list_P1467822637od_a_a > $o ) > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_363,type,
sK195: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_364,type,
sK196: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_365,type,
sK197: list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_366,type,
sK198: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_367,type,
sK199: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_368,type,
sK200: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_369,type,
sK201: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_370,type,
sK202: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_371,type,
sK203: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_372,type,
sK204: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_373,type,
sK205: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_374,type,
sK206: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_375,type,
sK207: ( list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_376,type,
sK208: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_377,type,
sK209: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_378,type,
sK210: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_379,type,
sK211: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_380,type,
sK212: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_381,type,
sK213: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_382,type,
sK214: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_383,type,
sK215: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_384,type,
sK216: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_385,type,
sK217: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_386,type,
sK218: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_387,type,
sK219: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_388,type,
sK220: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_389,type,
sK221: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_390,type,
sK222: ( list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_391,type,
sK223: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_392,type,
sK224: list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_393,type,
sK225: produc1197928545_a_a_a > a ).
thf(func_def_394,type,
sK226: produc1197928545_a_a_a > product_prod_a_a ).
thf(func_def_395,type,
sK227: produc1197928545_a_a_a > list_P1467822637od_a_a ).
thf(func_def_396,type,
sK228: produc1197928545_a_a_a > a ).
thf(func_def_397,type,
sK229: produc1197928545_a_a_a > a ).
thf(func_def_398,type,
sK230: produc1197928545_a_a_a > a ).
thf(func_def_399,type,
sK231: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_400,type,
sK232: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_401,type,
sK233: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_402,type,
sK234: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_403,type,
sK235: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_404,type,
sK236: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_405,type,
sK237: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_406,type,
sK238: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_407,type,
sK239: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_408,type,
sK240: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_409,type,
sK241: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_410,type,
sK242: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_411,type,
sK243: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_412,type,
sK244: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_413,type,
sK245: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_414,type,
sK246: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_415,type,
sK247: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_416,type,
sK248: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_417,type,
sK249: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_418,type,
sK250: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_419,type,
sK251: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_420,type,
sK252: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_421,type,
sK253: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_422,type,
sK254: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_423,type,
sK255: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_424,type,
sK256: ( list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_425,type,
sK257: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_426,type,
sK258: list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_427,type,
sK259: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_428,type,
sK260: ( list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_429,type,
sK261: ( list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_430,type,
sK262: produc651658087od_a_a > product_prod_a_a ).
thf(func_def_431,type,
sK263: produc651658087od_a_a > list_P1467822637od_a_a ).
thf(func_def_432,type,
sK264: produc651658087od_a_a > product_prod_a_a ).
thf(func_def_433,type,
sK265: produc651658087od_a_a > list_P1467822637od_a_a ).
thf(func_def_434,type,
sK266: produc651658087od_a_a > list_P1467822637od_a_a ).
thf(func_def_435,type,
sK267: produc651658087od_a_a > list_P1467822637od_a_a ).
thf(func_def_436,type,
sK268: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > a ).
thf(func_def_437,type,
sK269: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > a ).
thf(func_def_438,type,
sK270: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > a ).
thf(func_def_439,type,
sK271: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_440,type,
sK272: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_441,type,
sK273: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_442,type,
sK274: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > a ).
thf(func_def_443,type,
sK275: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > a ).
thf(func_def_444,type,
sK276: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > a ).
thf(func_def_445,type,
sK277: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > a ).
thf(func_def_446,type,
sK278: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_447,type,
sK279: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_448,type,
sK280: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > list_P1467822637od_a_a ).
thf(func_def_449,type,
sK281: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_450,type,
sK282: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > a ).
thf(func_def_451,type,
sK283: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_452,type,
sK284: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > product_prod_a_a ).
thf(func_def_453,type,
sK285: ( product_prod_a_a > a > list_P1467822637od_a_a > $o ) > a ).
thf(func_def_454,type,
sK286: produc821581462od_a_a > a ).
thf(func_def_455,type,
sK287: produc821581462od_a_a > a ).
thf(func_def_456,type,
sK288: produc821581462od_a_a > a ).
thf(func_def_457,type,
sK289: produc821581462od_a_a > product_prod_a_a ).
thf(func_def_458,type,
sK290: produc821581462od_a_a > list_P1467822637od_a_a ).
thf(func_def_459,type,
sK291: produc821581462od_a_a > product_prod_a_a ).
thf(func_def_460,type,
sK292: produc821581462od_a_a > a ).
thf(func_def_461,type,
sK293: produc821581462od_a_a > a ).
thf(func_def_462,type,
sK294: produc821581462od_a_a > a ).
thf(func_def_463,type,
sK295: produc821581462od_a_a > a ).
thf(func_def_464,type,
sK296: produc821581462od_a_a > product_prod_a_a ).
thf(func_def_465,type,
sK297: produc821581462od_a_a > product_prod_a_a ).
thf(func_def_466,type,
sK298: produc821581462od_a_a > list_P1467822637od_a_a ).
thf(func_def_467,type,
sK299: produc821581462od_a_a > product_prod_a_a ).
thf(func_def_468,type,
sK300: produc821581462od_a_a > a ).
thf(func_def_469,type,
sK301: produc821581462od_a_a > product_prod_a_a ).
thf(func_def_470,type,
sK302: produc821581462od_a_a > product_prod_a_a ).
thf(func_def_471,type,
sK303: produc821581462od_a_a > a ).
thf(func_def_472,type,
sK304: set_Product_prod_a_a > list_a > a ).
thf(func_def_473,type,
sK305: set_Product_prod_a_a > list_a > a ).
thf(func_def_474,type,
sK306: set_Product_prod_a_a > list_a > a ).
thf(func_def_475,type,
sK307: produc651658087od_a_a > product_prod_a_a ).
thf(func_def_476,type,
sK308: produc651658087od_a_a > list_P1467822637od_a_a ).
thf(func_def_477,type,
sK309: produc651658087od_a_a > list_P1467822637od_a_a ).
thf(func_def_478,type,
sK310: produc651658087od_a_a > list_P1467822637od_a_a ).
thf(func_def_479,type,
sK311: ( set_Product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_480,type,
sK312: set_Product_prod_a_a > a ).
thf(func_def_481,type,
sK313: set_Product_prod_a_a > a ).
thf(func_def_482,type,
sK314: set_Product_prod_a_a > a ).
thf(func_def_483,type,
sK315: produc657167928_a_a_a > a ).
thf(func_def_484,type,
sK316: produc657167928_a_a_a > a ).
thf(func_def_485,type,
sK317: produc657167928_a_a_a > list_P1467822637od_a_a ).
thf(func_def_486,type,
sK318: produc657167928_a_a_a > a ).
thf(func_def_487,type,
sK319: produc657167928_a_a_a > a ).
thf(func_def_488,type,
sK320: ( list_P1467822637od_a_a > a > $o ) > a ).
thf(func_def_489,type,
sK321: ( list_P1467822637od_a_a > a > $o ) > a ).
thf(func_def_490,type,
sK322: ( list_P1467822637od_a_a > a > $o ) > list_P1467822637od_a_a ).
thf(func_def_491,type,
sK323: ( list_P1467822637od_a_a > a > $o ) > a ).
thf(func_def_492,type,
sK324: ( list_P1467822637od_a_a > a > $o ) > a ).
thf(func_def_493,type,
sK325: list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a > a ).
thf(func_def_494,type,
sK326: list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a > a ).
thf(func_def_495,type,
sK327: list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a > product_prod_a_a ).
thf(func_def_496,type,
sK328: list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_497,type,
sK329: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > a ).
thf(func_def_498,type,
sK330: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > a ).
thf(func_def_499,type,
sK331: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a ).
thf(func_def_500,type,
sK332: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > list_P1467822637od_a_a ).
thf(func_def_501,type,
sK333: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_502,type,
sK334: list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_503,type,
sK335: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_504,type,
sK336: list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_505,type,
sK337: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_506,type,
sK338: list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_507,type,
sK339: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_508,type,
sK340: list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_509,type,
sK341: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_510,type,
sK342: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_511,type,
sK343: list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_512,type,
sK344: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_513,type,
sK345: set_Product_prod_a_a > a ).
thf(func_def_514,type,
sK346: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > a ).
thf(func_def_515,type,
sK347: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > a ).
thf(func_def_516,type,
sK348: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a ).
thf(func_def_517,type,
sK349: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a ).
thf(func_def_518,type,
sK350: product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > a > list_P1467822637od_a_a ).
thf(func_def_519,type,
sK351: list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a > product_prod_a_a ).
thf(func_def_520,type,
sK352: list_P1467822637od_a_a > a > a > a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_521,type,
sK353: list_P1467822637od_a_a > a > a > a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_522,type,
sK354: list_P1467822637od_a_a > a > a > a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_523,type,
sK355: list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a > a ).
thf(func_def_524,type,
sK356: list_P1467822637od_a_a > list_P1467822637od_a_a > a > product_prod_a_a > a ).
thf(func_def_525,type,
sK357: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_526,type,
sK358: a > a > list_P1467822637od_a_a > a ).
thf(func_def_527,type,
sK359: a > a > list_P1467822637od_a_a > a ).
thf(func_def_528,type,
sK360: a > a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_529,type,
sK361: list_P1467822637od_a_a > a > a > a ).
thf(func_def_530,type,
sK362: list_P1467822637od_a_a > a > a > a ).
thf(func_def_531,type,
sK363: list_P1467822637od_a_a > a > a > list_P1467822637od_a_a ).
thf(func_def_532,type,
sK364: list_P1467822637od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a ).
thf(func_def_533,type,
sK365: list_P1467822637od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a > list_P1467822637od_a_a ).
thf(func_def_534,type,
sK366: list_P1467822637od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a > list_P1467822637od_a_a ).
thf(func_def_535,type,
sK367: list_P1467822637od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a ).
thf(func_def_536,type,
sK368: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_537,type,
sK369: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_538,type,
sK370: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > set_Pr1948701895od_a_a > list_P1467822637od_a_a ).
thf(func_def_539,type,
sK371: ( list_P1467822637od_a_a > list_P1467822637od_a_a > $o ) > set_Pr1948701895od_a_a > list_P1467822637od_a_a ).
thf(func_def_540,type,
sK372: ( list_a > list_a > $o ) > set_Product_prod_a_a > a ).
thf(func_def_541,type,
sK373: ( list_a > list_a > $o ) > set_Product_prod_a_a > a ).
thf(func_def_542,type,
sK374: ( list_a > list_a > $o ) > set_Product_prod_a_a > list_a ).
thf(func_def_543,type,
sK375: ( list_a > list_a > $o ) > set_Product_prod_a_a > list_a ).
thf(func_def_544,type,
sK376: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > product_prod_a_a ).
thf(func_def_545,type,
sK377: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_546,type,
sK378: set_Product_prod_a_a > list_a > list_a > a > a ).
thf(func_def_547,type,
sK379: set_Product_prod_a_a > list_a > list_a > a > list_a ).
thf(func_def_548,type,
sK380: set_Pr1948701895od_a_a > list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_549,type,
sK381: set_Pr1948701895od_a_a > list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_550,type,
sK382: set_Product_prod_a_a > list_a > a > list_a > a ).
thf(func_def_551,type,
sK383: set_Product_prod_a_a > list_a > a > list_a > list_a ).
thf(func_def_552,type,
sK384: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_553,type,
sK385: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_554,type,
sK386: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_555,type,
sK387: set_Pr1948701895od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_556,type,
sK388: set_Product_prod_a_a > list_a > list_a > a ).
thf(func_def_557,type,
sK389: set_Product_prod_a_a > list_a > list_a > a ).
thf(func_def_558,type,
sK390: set_Product_prod_a_a > list_a > list_a > list_a ).
thf(func_def_559,type,
sK391: set_Product_prod_a_a > list_a > list_a > list_a ).
thf(func_def_560,type,
sK392: list_P1467822637od_a_a ).
thf(func_def_561,type,
sK393: a ).
thf(func_def_562,type,
sK394: a ).
thf(func_def_563,type,
sK395: list_P1467822637od_a_a ).
thf(func_def_564,type,
sK396: list_a > list_a > set_Product_prod_a_a > list_a ).
thf(func_def_565,type,
sK397: list_a > list_a > set_Product_prod_a_a > list_a ).
thf(func_def_566,type,
sK398: list_a > list_a > set_Product_prod_a_a > a ).
thf(func_def_567,type,
sK399: list_a > list_a > set_Product_prod_a_a > a ).
thf(func_def_568,type,
sK400: list_a > list_a > set_Product_prod_a_a > list_a ).
thf(func_def_569,type,
sK401: list_a > list_a > set_Product_prod_a_a > a ).
thf(func_def_570,type,
sK402: list_a > list_a > set_Product_prod_a_a > a ).
thf(func_def_571,type,
sK403: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a ).
thf(func_def_572,type,
sK404: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a ).
thf(func_def_573,type,
sK405: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_574,type,
sK406: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_575,type,
sK407: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > list_P1467822637od_a_a ).
thf(func_def_576,type,
sK408: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_577,type,
sK409: list_P1467822637od_a_a > list_P1467822637od_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_578,type,
sK410: list_P1467822637od_a_a > list_l1108175539od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a ).
thf(func_def_579,type,
sK411: list_P1467822637od_a_a > list_l1108175539od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_580,type,
sK412: list_P1467822637od_a_a > list_l1108175539od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_581,type,
sK413: list_P1467822637od_a_a > list_l1108175539od_a_a > list_P1467822637od_a_a > list_l1108175539od_a_a ).
thf(func_def_582,type,
sK414: set_Product_prod_a_a > a ).
thf(func_def_583,type,
sK415: set_Product_prod_a_a > a ).
thf(func_def_584,type,
sK416: set_Product_prod_a_a > a ).
thf(func_def_585,type,
sK417: set_Product_prod_a_a > a ).
thf(func_def_586,type,
sK418: set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_587,type,
sK419: set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_588,type,
sK420: set_Product_prod_a_a > a ).
thf(func_def_589,type,
sK421: set_Product_prod_a_a > a ).
thf(func_def_590,type,
sK422: set_Product_prod_a_a > a ).
thf(func_def_591,type,
sK423: set_Product_prod_a_a > a ).
thf(func_def_592,type,
sK424: list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_593,type,
sK425: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_594,type,
sK426: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_595,type,
sK427: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_596,type,
sK428: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_597,type,
sK429: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_598,type,
sK430: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_599,type,
sK431: list_P1467822637od_a_a > product_prod_a_a > list_P1467822637od_a_a ).
thf(func_def_600,type,
sK432: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_601,type,
sK433: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_602,type,
sK434: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_603,type,
sK435: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_604,type,
sK436: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_605,type,
sK437: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_606,type,
sK438: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_607,type,
sK439: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_608,type,
sK440: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_609,type,
sK441: ( product_prod_a_a > $o ) > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_610,type,
sK442: list_P1467822637od_a_a > ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_611,type,
sK443: list_P1467822637od_a_a > ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_612,type,
sK444: list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_613,type,
sK445: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_614,type,
sK446: set_Product_prod_a_a > list_a > a ).
thf(func_def_615,type,
sK447: set_Pr1948701895od_a_a > list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_616,type,
sK448: list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_617,type,
sK449: list_P1467822637od_a_a > product_prod_a_a ).
thf(func_def_618,type,
sK450: list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a > list_P1467822637od_a_a ).
thf(func_def_619,type,
sK451: list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a > list_l1108175539od_a_a ).
thf(func_def_620,type,
sK452: list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a > list_P1891567085od_a_a ).
thf(func_def_621,type,
sK453: list_a > list_a > list_a > list_a > list_a ).
thf(func_def_623,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_624,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_625,type,
sK455: set_Product_prod_a_a > a ).
thf(func_def_626,type,
sK456: set_Product_prod_a_a > a ).
thf(func_def_627,type,
sK457: set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_628,type,
sK458: set_Product_prod_a_a > a ).
thf(func_def_629,type,
sK459: set_Product_prod_a_a > a ).
thf(func_def_630,type,
sK460: set_Product_prod_a_a > a ).
thf(f1,axiom,
kurato1072996284sing_a @ ( cons_P1921020637od_a_a @ e @ es ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms) ).
thf(f4,axiom,
( kurato1072996284sing_a
= ( ^ [X0: list_P1467822637od_a_a] :
! [X1: list_P1467822637od_a_a,X2: a,X3: a,X4: list_P1467822637od_a_a] :
( X0
!= ( append1574001858od_a_a @ X1 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X3 @ X2 ) @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_progressing__def) ).
thf(f47,axiom,
! [X0: product_prod_a_a,X1: list_P1467822637od_a_a,X2: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ ( cons_P1921020637od_a_a @ X0 @ X1 ) @ X2 )
= ( cons_P1921020637od_a_a @ X0 @ ( append1574001858od_a_a @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_append__Cons) ).
thf(f359,conjecture,
! [X0: list_P1467822637od_a_a,X1: a,X2: a,X3: list_P1467822637od_a_a] :
( es
!= ( append1574001858od_a_a @ X0 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X1 ) @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f360,negated_conjecture,
~ ! [X0: list_P1467822637od_a_a,X1: a,X2: a,X3: list_P1467822637od_a_a] :
( es
!= ( append1574001858od_a_a @ X0 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X1 ) @ X3 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f359]) ).
thf(f361,plain,
kurato1072996284sing_a @ ( cons_P1921020637od_a_a @ e @ es ),
inference(rectify,[],[f1]) ).
thf(f362,plain,
( ( kurato1072996284sing_a @ ( cons_P1921020637od_a_a @ e @ es ) )
= $true ),
inference(fool_elimination,[],[f361]) ).
thf(f365,plain,
( kurato1072996284sing_a
= ( ^ [Y0: list_P1467822637od_a_a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y1: list_P1467822637od_a_a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y4: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ Y4 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y3 @ Y2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y2 @ Y3 ) @ Y1 ) ) )
!= Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f1123,plain,
? [X0: list_P1467822637od_a_a,X1: a,X2: a,X3: list_P1467822637od_a_a] :
( es
= ( append1574001858od_a_a @ X0 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X1 ) @ X3 ) ) ) ),
inference(ennf_transformation,[],[f360]) ).
thf(f1306,plain,
( es
= ( append1574001858od_a_a @ sK392 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ sK393 @ sK394 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ sK394 @ sK393 ) @ sK395 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK392,sK393,sK394,sK395]),skolemize(X0,sK392),skolemize(X1,sK393),skolemize(X2,sK394),skolemize(X3,sK395)],[f1123]) ).
thf(f1307,plain,
( ( kurato1072996284sing_a @ ( cons_P1921020637od_a_a @ e @ es ) )
= $true ),
inference(cnf_transformation,[],[f362]) ).
thf(f1310,plain,
( kurato1072996284sing_a
= ( ^ [Y0: list_P1467822637od_a_a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y1: list_P1467822637od_a_a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y4: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ Y4 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y3 @ Y2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y2 @ Y3 ) @ Y1 ) ) )
!= Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f365]) ).
thf(f1353,plain,
! [X2: list_P1467822637od_a_a,X0: product_prod_a_a,X1: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ ( cons_P1921020637od_a_a @ X0 @ X1 ) @ X2 )
= ( cons_P1921020637od_a_a @ X0 @ ( append1574001858od_a_a @ X1 @ X2 ) ) ),
inference(cnf_transformation,[],[f47]) ).
thf(f1870,plain,
( es
= ( append1574001858od_a_a @ sK392 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ sK393 @ sK394 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ sK394 @ sK393 ) @ sK395 ) ) ) ),
inference(cnf_transformation,[],[f1306]) ).
thf(f1873,plain,
( $true
= ( ^ [Y0: list_P1467822637od_a_a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y1: list_P1467822637od_a_a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y4: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ Y4 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y3 @ Y2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y2 @ Y3 ) @ Y1 ) ) )
!= Y0 ) ) ) ) )
@ ( cons_P1921020637od_a_a @ e @ es ) ) ),
inference(definition_unfolding,[],[f1307,f1310]) ).
thf(f3310,plain,
( $true
= ( !! @ list_P1467822637od_a_a
@ ^ [Y0: list_P1467822637od_a_a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y3: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ Y3 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y2 @ Y1 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y1 @ Y2 ) @ Y0 ) ) )
!= ( cons_P1921020637od_a_a @ e @ es ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1873]) ).
thf(f3311,plain,
! [X1: list_P1467822637od_a_a] :
( $true
= ( ^ [Y0: list_P1467822637od_a_a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y3: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ Y3 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y2 @ Y1 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y1 @ Y2 ) @ Y0 ) ) )
!= ( cons_P1921020637od_a_a @ e @ es ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f3310]) ).
thf(f3312,plain,
! [X1: list_P1467822637od_a_a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y2: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ Y2 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y1 @ Y0 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y0 @ Y1 ) @ X1 ) ) )
!= ( cons_P1921020637od_a_a @ e @ es ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f3311]) ).
thf(f3313,plain,
! [X2: a,X1: list_P1467822637od_a_a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y2: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ Y2 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y1 @ Y0 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y0 @ Y1 ) @ X1 ) ) )
!= ( cons_P1921020637od_a_a @ e @ es ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f3312]) ).
thf(f3314,plain,
! [X2: a,X1: list_P1467822637od_a_a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y1: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ Y1 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y0 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ Y0 ) @ X1 ) ) )
!= ( cons_P1921020637od_a_a @ e @ es ) ) ) ) ),
inference(beta-eta_normalization,[],[f3313]) ).
thf(f3315,plain,
! [X2: a,X3: a,X1: list_P1467822637od_a_a] :
( $true
= ( ^ [Y0: a] :
( !! @ list_P1467822637od_a_a
@ ^ [Y1: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ Y1 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ Y0 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ Y0 ) @ X1 ) ) )
!= ( cons_P1921020637od_a_a @ e @ es ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f3314]) ).
thf(f3316,plain,
! [X2: a,X3: a,X1: list_P1467822637od_a_a] :
( $true
= ( !! @ list_P1467822637od_a_a
@ ^ [Y0: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ Y0 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X3 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ X1 ) ) )
!= ( cons_P1921020637od_a_a @ e @ es ) ) ) ),
inference(beta-eta_normalization,[],[f3315]) ).
thf(f3317,plain,
! [X2: a,X3: a,X1: list_P1467822637od_a_a,X4: list_P1467822637od_a_a] :
( $true
= ( ^ [Y0: list_P1467822637od_a_a] :
( ( append1574001858od_a_a @ Y0 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X3 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ X1 ) ) )
!= ( cons_P1921020637od_a_a @ e @ es ) )
@ X4 ) ),
inference(pi_proxy_clausification,[],[f3316]) ).
thf(f3318,plain,
! [X2: a,X3: a,X1: list_P1467822637od_a_a,X4: list_P1467822637od_a_a] :
( $true
= ( ( append1574001858od_a_a @ X4 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X3 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ X1 ) ) )
!= ( cons_P1921020637od_a_a @ e @ es ) ) ),
inference(beta-eta_normalization,[],[f3317]) ).
thf(f3319,plain,
! [X2: a,X3: a,X1: list_P1467822637od_a_a,X4: list_P1467822637od_a_a] :
( $false
= ( ( append1574001858od_a_a @ X4 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X3 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ X1 ) ) )
= ( cons_P1921020637od_a_a @ e @ es ) ) ),
inference(not_proxy_clausification,[],[f3318]) ).
thf(f3320,plain,
! [X2: a,X3: a,X1: list_P1467822637od_a_a,X4: list_P1467822637od_a_a] :
( ( cons_P1921020637od_a_a @ e @ es )
!= ( append1574001858od_a_a @ X4 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X3 @ X2 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ X1 ) ) ) ),
inference(equality_proxy_clausification,[],[f3319]) ).
thf(f7119,plain,
! [X2: a,X3: a,X0: product_prod_a_a,X1: list_P1467822637od_a_a,X4: list_P1467822637od_a_a] :
( ( cons_P1921020637od_a_a @ e @ es )
!= ( cons_P1921020637od_a_a @ X0 @ ( append1574001858od_a_a @ X1 @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X2 @ X3 ) @ ( cons_P1921020637od_a_a @ ( product_Pair_a_a @ X3 @ X2 ) @ X4 ) ) ) ) ),
inference(constrained_superposition,[],[f3320,f1353]) ).
thf(f111588,plain,
! [X0: product_prod_a_a] :
( ( cons_P1921020637od_a_a @ e @ es )
!= ( cons_P1921020637od_a_a @ X0 @ es ) ),
inference(constrained_superposition,[],[f7119,f1870]) ).
thf(f117900,plain,
$false,
inference(equality_resolution,[],[f111588]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP092^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n007.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:50:26 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.22/1.01 % (3839728)Will run a generic schedule for satisfiability detection.
% 4.22/1.01 % (3839733)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1582558429_2999 on theBenchmark for (2999ds/0Mi)
% 4.22/1.01 % (3839734)% WARNING: option uhcvi not known.
% 4.22/1.01 % (3839735)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3830101648:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.22/1.01 % (3839734)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1286506911:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.22/1.01 % (3839736)dis+10_1_sil=32000:sp=arity:random_seed=552081786:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.22/1.01 % (3839737)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1149909314:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.22/1.01 % (3839738)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2962032029:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.22/1.01 % (3839739)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3852737544:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.22/1.01 % (3839734)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.22/1.01 % (3839737)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.22/1.01 % Exception at run slice level
% 4.22/1.01 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.22/1.01 % (3839747)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1701121585:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.22/1.01 % (3839736)Instruction limit reached!
% 4.22/1.01 % (3839736)------------------------------
% 4.22/1.01 % (3839736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.01 % (3839736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.01 % (3839736)CaDiCaL version: 2.1.3
% 4.22/1.01 % (3839736)Termination reason: Instruction limit
% 4.22/1.01 % (3839736)Termination phase: Property scanning
% 4.22/1.01 % (3839736)Time elapsed: 0.044 s
% 4.22/1.01 % (3839736)Peak memory usage: 11 MB
% 4.22/1.01 % (3839736)Instructions burned: 103 (million)
% 4.22/1.01 % (3839737)Instruction limit reached!
% 4.22/1.01 % (3839737)------------------------------
% 4.22/1.01 % (3839737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.01 % (3839737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.01 % (3839737)CaDiCaL version: 2.1.3
% 4.22/1.01 % (3839737)Termination reason: Instruction limit
% 4.22/1.01 % (3839737)Termination phase: Property scanning
% 4.22/1.01 % (3839737)Time elapsed: 0.049 s
% 4.22/1.01 % (3839737)Peak memory usage: 12 MB
% 4.22/1.01 % (3839737)Instructions burned: 117 (million)
% 4.22/1.01 % (3839749)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3199782688:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.22/1.01 % (3839750)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4106658763:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.22/1.01 % (3839738)Instruction limit reached!
% 4.22/1.01 % (3839738)------------------------------
% 4.22/1.01 % (3839738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.01 % (3839738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.01 % (3839738)CaDiCaL version: 2.1.3
% 4.22/1.01 % (3839738)Termination reason: Instruction limit
% 4.22/1.01 % (3839738)Termination phase: Function definition elimination
% 4.22/1.01 % (3839738)Time elapsed: 0.063 s
% 4.22/1.01 % (3839738)Peak memory usage: 12 MB
% 4.22/1.01 % (3839738)Instructions burned: 131 (million)
% 4.22/1.01 % (3839734)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.22/1.01 % (3839739)Instruction limit reached!
% 4.22/1.01 % (3839739)------------------------------
% 4.22/1.01 % (3839739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.01 % (3839739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.01 % (3839739)CaDiCaL version: 2.1.3
% 4.22/1.01 % (3839739)Termination reason: Instruction limit
% 4.22/1.01 % (3839739)Termination phase: Property scanning
% 4.22/1.01 % (3839739)Time elapsed: 0.066 s
% 4.22/1.01 % (3839739)Peak memory usage: 12 MB
% 26.94/4.07 % (3839739)Instructions burned: 160 (million)
% 26.94/4.07 % Exception at run slice level
% 26.94/4.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 26.94/4.07 % (3839755)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3258560930:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 26.94/4.07 % (3839754)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3806349420:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 26.94/4.07 % (3839750)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 26.94/4.07 % (3839753)ott-21_1_sil=16000:fs=off:random_seed=3016249520:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.94/4.07 % (3839749)Instruction limit reached!
% 26.94/4.07 % (3839749)------------------------------
% 26.94/4.07 % (3839749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.94/4.07 % (3839749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/4.07 % (3839749)CaDiCaL version: 2.1.3
% 26.94/4.07 % (3839749)Termination reason: Instruction limit
% 26.94/4.07 % (3839749)Termination phase: Function definition elimination
% 26.94/4.07 % (3839749)Time elapsed: 0.056 s
% 26.94/4.07 % (3839749)Peak memory usage: 12 MB
% 26.94/4.07 % (3839749)Instructions burned: 132 (million)
% 26.94/4.07 % Exception at run slice level
% 26.94/4.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 26.94/4.07 % (3839759)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=655291385:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 26.94/4.07 % (3839760)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2776053753:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 26.94/4.07 % (3839750)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 26.94/4.07 % Exception at run slice level
% 26.94/4.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 26.94/4.07 % (3839763)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2269469490:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 26.94/4.07 % (3839763)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 26.94/4.07 % (3839753)Instruction limit reached!
% 26.94/4.07 % (3839753)------------------------------
% 26.94/4.07 % (3839753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.94/4.07 % (3839753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/4.07 % (3839753)CaDiCaL version: 2.1.3
% 26.94/4.07 % (3839753)Termination reason: Instruction limit
% 26.94/4.07 % (3839753)Termination phase: Saturation
% 26.94/4.07 % (3839753)Time elapsed: 0.113 s
% 26.94/4.07 % (3839753)Peak memory usage: 13 MB
% 26.94/4.07 % (3839753)Instructions burned: 180 (million)
% 26.94/4.07 % (3839774)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=586896565:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 26.94/4.07 % (3839774)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 26.94/4.07 % (3839754)Instruction limit reached!
% 26.94/4.07 % (3839754)------------------------------
% 26.94/4.07 % (3839754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.94/4.07 % (3839754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/4.07 % (3839754)CaDiCaL version: 2.1.3
% 26.94/4.07 % (3839754)Termination reason: Instruction limit
% 26.94/4.07 % (3839754)Termination phase: Saturation
% 26.94/4.07 % (3839754)Time elapsed: 0.240 s
% 26.94/4.07 % (3839754)Peak memory usage: 15 MB
% 26.94/4.07 % (3839754)Instructions burned: 478 (million)
% 26.94/4.07 % (3839796)fmb+10_1_sil=64000:random_seed=1708460940:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 26.94/4.07 % (3839750)Instruction limit reached!
% 26.94/4.07 % (3839750)------------------------------
% 26.94/4.07 % (3839750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.94/4.07 % (3839750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.94/4.07 % (3839750)CaDiCaL version: 2.1.3
% 26.94/4.07 % (3839750)Termination reason: Instruction limit
% 26.94/4.07 % (3839750)Termination phase: Saturation
% 26.94/4.07 % (3839750)Time elapsed: 0.293 s
% 81.41/11.74 % (3839750)Peak memory usage: 16 MB
% 81.41/11.74 % (3839750)Instructions burned: 685 (million)
% 81.41/11.74 % (3839763)Instruction limit reached!
% 81.41/11.74 % (3839763)------------------------------
% 81.41/11.74 % (3839763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 81.41/11.74 % (3839763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.41/11.74 % (3839763)CaDiCaL version: 2.1.3
% 81.41/11.74 % (3839763)Termination reason: Instruction limit
% 81.41/11.74 % (3839763)Termination phase: Saturation
% 81.41/11.74 % (3839763)Time elapsed: 0.170 s
% 81.41/11.74 % (3839763)Peak memory usage: 18 MB
% 81.41/11.74 % (3839763)Instructions burned: 694 (million)
% 81.41/11.74 % (3839807)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2061887367:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 81.41/11.74 % (3839804)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1078580805:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 81.41/11.74 % (3839796)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 81.41/11.74 % Exception at run slice level
% 81.41/11.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 81.41/11.74 % (3839821)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=838267678:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 81.41/11.74 % Exception at run slice level
% 81.41/11.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 81.41/11.74 % (3839821)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 81.41/11.74 % (3839828)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2976898403:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 81.41/11.74 % Exception at run slice level
% 81.41/11.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 81.41/11.74 % (3839837)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3750556096:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 81.41/11.74 % (3839828)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 81.41/11.74 % (3839828)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 81.41/11.74 % Exception at run slice level
% 81.41/11.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 81.41/11.74 % (3839862)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2472515997:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 81.41/11.74 % Exception at run slice level
% 81.41/11.74 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 81.41/11.74 % (3839774)Instruction limit reached!
% 81.41/11.74 % (3839774)------------------------------
% 81.41/11.74 % (3839774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 81.41/11.74 % (3839774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.41/11.74 % (3839774)CaDiCaL version: 2.1.3
% 81.41/11.74 % (3839774)Termination reason: Instruction limit
% 81.41/11.74 % (3839774)Termination phase: Saturation
% 81.41/11.74 % (3839774)Time elapsed: 0.425 s
% 81.41/11.74 % (3839774)Peak memory usage: 20 MB
% 81.41/11.74 % (3839774)Instructions burned: 880 (million)
% 81.41/11.74 % (3839885)ott-2_1_sil=16000:newcnf=on:random_seed=3599068663:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 81.41/11.74 % (3839888)ott+10_1_sil=32000:tgt=ground:random_seed=1949501919:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 81.41/11.74 % (3839759)Instruction limit reached!
% 81.41/11.74 % (3839759)------------------------------
% 81.41/11.74 % (3839759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 81.41/11.74 % (3839759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.41/11.74 % (3839759)CaDiCaL version: 2.1.3
% 81.41/11.74 % (3839759)Termination reason: Instruction limit
% 81.41/11.74 % (3839759)Termination phase: Saturation
% 81.41/11.74 % (3839759)Time elapsed: 0.570 s
% 81.41/11.74 % (3839759)Peak memory usage: 22 MB
% 81.41/11.74 % (3839759)Instructions burned: 1179 (million)
% 81.41/11.74 % (3839885)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 81.41/11.74 % (3839898)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3607508894:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 174.75/24.99 % Exception at run slice level
% 174.75/24.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 174.75/24.99 % (3839917)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1539897801:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 174.75/24.99 % (3839917)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 174.75/24.99 % (3839885)Instruction limit reached!
% 174.75/24.99 % (3839885)------------------------------
% 174.75/24.99 % (3839885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 174.75/24.99 % (3839885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 174.75/24.99 % (3839885)CaDiCaL version: 2.1.3
% 174.75/24.99 % (3839885)Termination reason: Instruction limit
% 174.75/24.99 % (3839885)Termination phase: Saturation
% 174.75/24.99 % (3839885)Time elapsed: 0.615 s
% 174.75/24.99 % (3839885)Peak memory usage: 18 MB
% 174.75/24.99 % (3839885)Instructions burned: 869 (million)
% 174.75/24.99 % (3839951)dis+21_1_sil=32000:sas=cadical:random_seed=987634997:i=3773:amm=off_2986 on theBenchmark for (2986ds/3773Mi)
% 174.75/24.99 % (3839828)Instruction limit reached!
% 174.75/24.99 % (3839828)------------------------------
% 174.75/24.99 % (3839828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 174.75/24.99 % (3839828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 174.75/24.99 % (3839828)CaDiCaL version: 2.1.3
% 174.75/24.99 % (3839828)Termination reason: Instruction limit
% 174.75/24.99 % (3839828)Termination phase: Saturation
% 174.75/24.99 % (3839828)Time elapsed: 0.915 s
% 174.75/24.99 % (3839828)Peak memory usage: 21 MB
% 174.75/24.99 % (3839828)Instructions burned: 1472 (million)
% 174.75/24.99 % (3839954)ott+11_1_sil=16000:gs=on:random_seed=2269724626:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2985 on theBenchmark for (2985ds/2251Mi)
% 174.75/24.99 % (3839954)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 174.75/24.99 % (3839821)Instruction limit reached!
% 174.75/24.99 % (3839821)------------------------------
% 174.75/24.99 % (3839821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 174.75/24.99 % (3839821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 174.75/24.99 % (3839821)CaDiCaL version: 2.1.3
% 174.75/24.99 % (3839821)Termination reason: Instruction limit
% 174.75/24.99 % (3839821)Termination phase: Saturation
% 174.75/24.99 % (3839821)Time elapsed: 1.941 s
% 174.75/24.99 % (3839821)Peak memory usage: 30 MB
% 174.75/24.99 % (3839821)Instructions burned: 5132 (million)
% 174.75/24.99 % (3839979)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2179697077:fmbsr=1.6:i=67534_2975 on theBenchmark for (2975ds/67534Mi)
% 174.75/24.99 % Exception at run slice level
% 174.75/24.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 174.75/24.99 % (3839981)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3482649754:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2974 on theBenchmark for (2974ds/4591Mi)
% 174.75/24.99 % (3839954)Instruction limit reached!
% 174.75/24.99 % (3839954)------------------------------
% 174.75/24.99 % (3839954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 174.75/24.99 % (3839954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 174.75/24.99 % (3839954)CaDiCaL version: 2.1.3
% 174.75/24.99 % (3839954)Termination reason: Instruction limit
% 174.75/24.99 % (3839954)Termination phase: Saturation
% 174.75/24.99 % (3839954)Time elapsed: 1.859 s
% 174.75/24.99 % (3839954)Peak memory usage: 22 MB
% 174.75/24.99 % (3839954)Instructions burned: 2252 (million)
% 174.75/24.99 % (3839987)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1265491111:i=29340_2966 on theBenchmark for (2966ds/29340Mi)
% 174.75/24.99 % (3839917)Instruction limit reached!
% 174.75/24.99 % (3839917)------------------------------
% 174.75/24.99 % (3839917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 174.75/24.99 % (3839917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 174.75/24.99 % (3839917)CaDiCaL version: 2.1.3
% 174.75/24.99 % (3839917)Termination reason: Instruction limit
% 174.75/24.99 % (3839917)Termination phase: Saturation
% 174.75/24.99 % (3839917)Time elapsed: 2.924 s
% 174.75/24.99 % (3839917)Peak memory usage: 29 MB
% 174.75/24.99 % (3839917)Instructions burned: 3512 (million)
% 174.75/24.99 % (3839989)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3804423731:i=5211_2961 on theBenchmark for (2961ds/5211Mi)
% 177.52/25.25 % (3839981)Instruction limit reached!
% 177.52/25.25 % (3839981)------------------------------
% 177.52/25.25 % (3839981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.25 % (3839981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.25 % (3839981)CaDiCaL version: 2.1.3
% 177.52/25.25 % (3839981)Termination reason: Instruction limit
% 177.52/25.25 % (3839981)Termination phase: Saturation
% 177.52/25.25 % (3839981)Time elapsed: 1.797 s
% 177.52/25.25 % (3839981)Peak memory usage: 22 MB
% 177.52/25.25 % (3839981)Instructions burned: 4593 (million)
% 177.52/25.25 % (3839991)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3590729417:i=5497:nm=2_2956 on theBenchmark for (2956ds/5497Mi)
% 177.52/25.25 % (3839951)Instruction limit reached!
% 177.52/25.25 % (3839951)------------------------------
% 177.52/25.25 % (3839951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.25 % (3839951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.25 % (3839951)CaDiCaL version: 2.1.3
% 177.52/25.25 % (3839951)Termination reason: Instruction limit
% 177.52/25.25 % (3839951)Termination phase: Saturation
% 177.52/25.25 % (3839951)Time elapsed: 3.021 s
% 177.52/25.25 % (3839951)Peak memory usage: 29 MB
% 177.52/25.25 % (3839951)Instructions burned: 3773 (million)
% 177.52/25.25 % Exception at run slice level
% 177.52/25.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 177.52/25.25 % (3839994)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3421182491:i=14071_2955 on theBenchmark for (2955ds/14071Mi)
% 177.52/25.25 % (3839993)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1466089533:fmbsr=2:i=46332_2955 on theBenchmark for (2955ds/46332Mi)
% 177.52/25.25 % Exception at run slice level
% 177.52/25.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 177.52/25.25 % (3839997)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=663973400:i=22565:add=on:rawr=on_2954 on theBenchmark for (2954ds/22565Mi)
% 177.52/25.25 % Exception at run slice level
% 177.52/25.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 177.52/25.25 % (3839999)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2874392306:i=8173:av=off_2953 on theBenchmark for (2953ds/8173Mi)
% 177.52/25.25 % (3839888)Instruction limit reached!
% 177.52/25.25 % (3839888)------------------------------
% 177.52/25.25 % (3839888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.25 % (3839888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.25 % (3839888)CaDiCaL version: 2.1.3
% 177.52/25.25 % (3839888)Termination reason: Instruction limit
% 177.52/25.25 % (3839888)Termination phase: Saturation
% 177.52/25.25 % (3839888)Time elapsed: 4.276 s
% 177.52/25.25 % (3839888)Peak memory usage: 41 MB
% 177.52/25.25 % (3839888)Instructions burned: 5114 (million)
% 177.52/25.25 % (3840001)dis+10_16:1_sil=16000:random_seed=1417883518:i=9155:fsr=off_2949 on theBenchmark for (2949ds/9155Mi)
% 177.52/25.25 % (3839989)Instruction limit reached!
% 177.52/25.25 % (3839989)------------------------------
% 177.52/25.25 % (3839989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.25 % (3839989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.25 % (3839989)CaDiCaL version: 2.1.3
% 177.52/25.25 % (3839989)Termination reason: Instruction limit
% 177.52/25.25 % (3839989)Termination phase: Saturation
% 177.52/25.25 % (3839989)Time elapsed: 4.300 s
% 177.52/25.25 % (3839989)Peak memory usage: 43 MB
% 177.52/25.25 % (3839989)Instructions burned: 5211 (million)
% 177.52/25.25 % (3840021)ott-3_8_sil=64000:random_seed=3951460714:i=20139:bs=on_2918 on theBenchmark for (2918ds/20139Mi)
% 177.52/25.25 % (3839999)Instruction limit reached!
% 177.52/25.25 % (3839999)------------------------------
% 177.52/25.25 % (3839999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.25 % (3839999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.25 % (3839999)CaDiCaL version: 2.1.3
% 177.52/25.25 % (3839999)Termination reason: Instruction limit
% 177.52/25.25 % (3839999)Termination phase: Saturation
% 177.52/25.25 % (3839999)Time elapsed: 6.840 s
% 177.52/25.25 % (3839999)Peak memory usage: 49 MB
% 177.52/25.25 % (3839999)Instructions burned: 8174 (million)
% 177.52/25.25 % (3840027)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=2842472689:fmbsr=2:i=32576_2884 on theBenchmark for (2884ds/32576Mi)
% 177.52/25.25 % Exception at run slice level
% 177.52/25.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 177.52/25.25 % (3840029)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=866244460:i=11404_2883 on theBenchmark for (2883ds/11404Mi)
% 177.52/25.25 % (3840001)Instruction limit reached!
% 177.52/25.25 % (3840001)------------------------------
% 177.52/25.25 % (3840001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.25 % (3840001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.25 % (3840001)CaDiCaL version: 2.1.3
% 177.52/25.25 % (3840001)Termination reason: Instruction limit
% 177.52/25.25 % (3840001)Termination phase: Saturation
% 177.52/25.25 % (3840001)Time elapsed: 7.206 s
% 177.52/25.25 % (3840001)Peak memory usage: 39 MB
% 177.52/25.25 % (3840001)Instructions burned: 9156 (million)
% 177.52/25.25 % (3840031)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1053928855:i=14134_2877 on theBenchmark for (2877ds/14134Mi)
% 177.52/25.25 % (3840031)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 177.52/25.25 % (3839997)Instruction limit reached!
% 177.52/25.25 % (3839997)------------------------------
% 177.52/25.25 % (3839997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.25 % (3839997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.25 % (3839997)CaDiCaL version: 2.1.3
% 177.52/25.25 % (3839997)Termination reason: Instruction limit
% 177.52/25.25 % (3839997)Termination phase: Saturation
% 177.52/25.25 % (3839997)Time elapsed: 8.789 s
% 177.52/25.25 % (3839997)Peak memory usage: 76 MB
% 177.52/25.25 % (3839997)Instructions burned: 22568 (million)
% 177.52/25.25 % (3840033)dis+33_16_sil=32000:sac=on:random_seed=924478108:i=15851:nm=0_2866 on theBenchmark for (2866ds/15851Mi)
% 177.52/25.25 % (3840033)Instruction limit reached!
% 177.52/25.25 % (3840033)------------------------------
% 177.52/25.25 % (3840033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.25 % (3840033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.25 % (3840033)CaDiCaL version: 2.1.3
% 177.52/25.25 % (3840033)Termination reason: Instruction limit
% 177.52/25.25 % (3840033)Termination phase: Saturation
% 177.52/25.25 % (3840033)Time elapsed: 6.887 s
% 177.52/25.25 % (3840033)Peak memory usage: 47 MB
% 177.52/25.25 % (3840033)Instructions burned: 15852 (million)
% 177.52/25.25 % (3840041)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=459081123:avsq=on:i=17627:add=on:amm=off_2797 on theBenchmark for (2797ds/17627Mi)
% 177.52/25.25 % (3840029)Instruction limit reached!
% 177.52/25.25 % (3840029)------------------------------
% 177.52/25.25 % (3840029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.25 % (3840029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.25 % (3840029)CaDiCaL version: 2.1.3
% 177.52/25.25 % (3840029)Termination reason: Instruction limit
% 177.52/25.25 % (3840029)Termination phase: Saturation
% 177.52/25.25 % (3840029)Time elapsed: 9.165 s
% 177.52/25.25 % (3840029)Peak memory usage: 87 MB
% 177.52/25.25 % (3840029)Instructions burned: 11404 (million)
% 177.52/25.25 % (3840043)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=1463673768:s2a=on:i=53295_2791 on theBenchmark for (2791ds/53295Mi)
% 177.52/25.25 % (3840031)Instruction limit reached!
% 177.52/25.25 % (3840031)------------------------------
% 177.52/25.25 % (3840031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.25 % (3840031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.25 % (3840031)CaDiCaL version: 2.1.3
% 177.52/25.25 % (3840031)Termination reason: Instruction limit
% 177.52/25.25 % (3840031)Termination phase: Saturation
% 177.52/25.25 % (3840031)Time elapsed: 11.573 s
% 177.52/25.25 % (3840031)Peak memory usage: 69 MB
% 177.52/25.25 % (3840031)Instructions burned: 14135 (million)
% 177.52/25.25 % (3840047)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=2086766790:i=26857:ins=20_2761 on theBenchmark for (2761ds/26857Mi)
% 177.52/25.25 % Exception at run slice level
% 177.52/25.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 177.52/25.25 % (3840049)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=164720189:i=28120:bs=on:fsr=off_2759 on theBenchmark for (2759ds/28120Mi)
% 177.52/25.25 % (3840021)Instruction limit reached!
% 177.52/25.25 % (3840021)------------------------------
% 177.52/25.25 % (3840021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.25 % (3840021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.25 % (3840021)CaDiCaL version: 2.1.3
% 177.52/25.25 % (3840021)Termination reason: Instruction limit
% 177.52/25.25 % (3840021)Termination phase: Saturation
% 177.52/25.25 % (3840021)Time elapsed: 16.578 s
% 177.52/25.25 % (3840021)Peak memory usage: 69 MB
% 177.52/25.25 % (3840021)Instructions burned: 20139 (million)
% 177.52/25.25 % (3840051)fmb+10_1_sil=256000:fmbss=7:random_seed=2793116202:fmbsr=1.6:i=182295_2752 on theBenchmark for (2752ds/182295Mi)
% 177.52/25.25 % Exception at run slice level
% 177.52/25.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 177.52/25.25 % (3839734) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3839728-3839734"...
% 177.52/25.25 % (3840053)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=2911099732:i=44625:gsp=on_2750 on theBenchmark for (2750ds/44625Mi)
% 177.52/25.25 % (3839734)...printing done.
% 177.52/25.25 % (3839734)Refutation found. Thanks to Tanya!
% 177.52/25.25 % SZS status Theorem for theBenchmark
% 177.52/25.25 % SZS output start Proof for theBenchmark
% See solution above
% 177.52/25.26 % (3839734)------------------------------
% 177.52/25.26 % (3839734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.52/25.26 % (3839734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.52/25.26 % (3839734)CaDiCaL version: 2.1.3
% 177.52/25.26 % (3839734)Termination reason: Refutation
% 177.52/25.26 % (3839734)Time elapsed: 24.936 s
% 177.52/25.26 % (3839734)Peak memory usage: 105 MB
% 177.52/25.26 % (3839734)Instructions burned: 32075 (million)
% 177.52/25.26 % (3839728)Success in time 25.043 s
% 177.52/25.26 % Vampire exiting
%------------------------------------------------------------------------------