%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP084^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:16 AM UTC 2026
% Result : Theorem 0.99s 0.49s
% Output : Refutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 21 unt; 0 typ; 2 def)
% Number of atoms : 81 ( 20 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 129 ( 15 ~; 11 |; 0 &; 101 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 20 ( 19 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 489 ( 486 usr; 12 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_l425507653ession: $tType ).
thf(type_def_6,type,
set_li185139947ession: $tType ).
thf(type_def_7,type,
set_li2007071804ecrets: $tType ).
thf(type_def_8,type,
set_li849033543y_Keys: $tType ).
thf(type_def_9,type,
list_list_Secrecy_KS: $tType ).
thf(type_def_10,type,
set_list_Secrecy_KS: $tType ).
thf(type_def_11,type,
list_S529945141ession: $tType ).
thf(type_def_12,type,
set_Se1942955227ession: $tType ).
thf(type_def_13,type,
list_Secrecy_Secrets: $tType ).
thf(type_def_14,type,
set_Secrecy_Secrets: $tType ).
thf(type_def_15,type,
list_Secrecy_Keys: $tType ).
thf(type_def_16,type,
set_Secrecy_Keys: $tType ).
thf(type_def_17,type,
list_Secrecy_KS: $tType ).
thf(type_def_18,type,
set_Secrecy_KS: $tType ).
thf(type_def_19,type,
secrecy_Expression: $tType ).
thf(type_def_20,type,
secrecy_Secrets: $tType ).
thf(type_def_21,type,
secrecy_specID: $tType ).
thf(type_def_22,type,
secrecy_Keys: $tType ).
thf(type_def_23,type,
secrecy_KS: $tType ).
thf(type_def_24,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_Gr275623750ession: set_li185139947ession > secrecy_Expression > set_li185139947ession ).
thf(func_def_1,type,
bNF_Gr660123862ecy_KS: set_list_Secrecy_KS > secrecy_KS > set_list_Secrecy_KS ).
thf(func_def_2,type,
bNF_Gr414702370y_Keys: set_li849033543y_Keys > secrecy_Keys > set_li849033543y_Keys ).
thf(func_def_3,type,
bNF_Gr28627573ecrets: set_li2007071804ecrets > secrecy_Secrets > set_li2007071804ecrets ).
thf(func_def_4,type,
bNF_Gr979629770ession: set_li185139947ession > list_S529945141ession > set_Se1942955227ession ).
thf(func_def_5,type,
bNF_Gr577175642ecy_KS: set_list_Secrecy_KS > list_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_6,type,
bNF_Gr344893606y_Keys: set_li849033543y_Keys > list_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_7,type,
bNF_Gr957048817ecrets: set_li2007071804ecrets > list_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_8,type,
localSecrets: secrecy_specID > set_Secrecy_KS ).
thf(func_def_9,type,
monoid929671412ession: ( list_S529945141ession > list_S529945141ession > list_S529945141ession ) > list_S529945141ession > $o ).
thf(func_def_10,type,
monoid1528146052ecy_KS: ( list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ) > list_Secrecy_KS > $o ).
thf(func_def_11,type,
knowle233900195orrect: secrecy_specID > secrecy_KS > $o ).
thf(func_def_12,type,
knowle1268625169orrect: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_13,type,
knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).
thf(func_def_14,type,
knowle731562421_knows: secrecy_specID > list_S529945141ession > $o ).
thf(func_def_15,type,
disjoi1945222607ession: list_S529945141ession > list_S529945141ession > $o ).
thf(func_def_16,type,
memS_S2026082737ession: secrecy_Expression > list_S529945141ession > $o ).
thf(func_def_17,type,
mem_Se1967555118ession: secrecy_Expression > list_S529945141ession > $o ).
thf(func_def_18,type,
mem_Secrecy_KS: secrecy_KS > list_Secrecy_KS > $o ).
thf(func_def_19,type,
append1105297242ession: list_l425507653ession > list_l425507653ession > list_l425507653ession ).
thf(func_def_20,type,
append1376766698ecy_KS: list_list_Secrecy_KS > list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_21,type,
append2089414218ession: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_22,type,
append_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_23,type,
append_Secrecy_Keys: list_Secrecy_Keys > list_Secrecy_Keys > list_Secrecy_Keys ).
thf(func_def_24,type,
append186372209ecrets: list_Secrecy_Secrets > list_Secrecy_Secrets > list_Secrecy_Secrets ).
thf(func_def_25,type,
bind_S815874003ession: list_S529945141ession > ( secrecy_Expression > list_S529945141ession ) > list_S529945141ession ).
thf(func_def_26,type,
bind_S1823644515ecy_KS: list_S529945141ession > ( secrecy_Expression > list_Secrecy_KS ) > list_Secrecy_KS ).
thf(func_def_27,type,
bind_S711229283ession: list_Secrecy_KS > ( secrecy_KS > list_S529945141ession ) > list_S529945141ession ).
thf(func_def_28,type,
bind_S645462771ecy_KS: list_Secrecy_KS > ( secrecy_KS > list_Secrecy_KS ) > list_Secrecy_KS ).
thf(func_def_29,type,
butlas171474643ession: list_S529945141ession > list_S529945141ession ).
thf(func_def_30,type,
butlast_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_31,type,
concat388015140ession: list_l425507653ession > list_S529945141ession ).
thf(func_def_32,type,
concat_Secrecy_KS: list_list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_33,type,
distin1076152135ession: list_S529945141ession > $o ).
thf(func_def_34,type,
distin1495927511ecy_KS: list_Secrecy_KS > $o ).
thf(func_def_35,type,
foldr_1531709715ession: ( list_S529945141ession > list_S529945141ession > list_S529945141ession ) > list_l425507653ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_36,type,
foldr_1711005747ecy_KS: ( list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ) > list_list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_37,type,
insert1173886601ession: secrecy_Expression > list_S529945141ession > list_S529945141ession ).
thf(func_def_38,type,
insert_Secrecy_KS: secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_39,type,
last_S1532390982ession: list_S529945141ession > secrecy_Expression ).
thf(func_def_40,type,
last_Secrecy_KS: list_Secrecy_KS > secrecy_KS ).
thf(func_def_41,type,
cons_l533358079ession: list_S529945141ession > list_l425507653ession > list_l425507653ession ).
thf(func_def_42,type,
cons_list_Secrecy_KS: list_Secrecy_KS > list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_43,type,
cons_S112077679ession: secrecy_Expression > list_S529945141ession > list_S529945141ession ).
thf(func_def_44,type,
cons_Secrecy_KS: secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_45,type,
cons_Secrecy_Keys: secrecy_Keys > list_Secrecy_Keys > list_Secrecy_Keys ).
thf(func_def_46,type,
cons_Secrecy_Secrets: secrecy_Secrets > list_Secrecy_Secrets > list_Secrecy_Secrets ).
thf(func_def_47,type,
nil_li311616943ession: list_l425507653ession ).
thf(func_def_48,type,
nil_list_Secrecy_KS: list_list_Secrecy_KS ).
thf(func_def_49,type,
nil_Se901661471ession: list_S529945141ession ).
thf(func_def_50,type,
nil_Secrecy_KS: list_Secrecy_KS ).
thf(func_def_51,type,
nil_Secrecy_Keys: list_Secrecy_Keys ).
thf(func_def_52,type,
nil_Secrecy_Secrets: list_Secrecy_Secrets ).
thf(func_def_53,type,
hd_lis1623417098ession: list_l425507653ession > list_S529945141ession ).
thf(func_def_54,type,
hd_list_Secrecy_KS: list_list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_55,type,
hd_Sec357328890ession: list_S529945141ession > secrecy_Expression ).
thf(func_def_56,type,
hd_Secrecy_KS: list_Secrecy_KS > secrecy_KS ).
thf(func_def_57,type,
tl_Sec1905266422ession: list_S529945141ession > list_S529945141ession ).
thf(func_def_58,type,
tl_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_59,type,
list_e1486860828ession: ( secrecy_Expression > $o ) > list_S529945141ession > $o ).
thf(func_def_60,type,
list_ex1_Secrecy_KS: ( secrecy_KS > $o ) > list_Secrecy_KS > $o ).
thf(func_def_61,type,
listre84909707ession: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession > $o ).
thf(func_def_62,type,
listre565996059ecy_KS: ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession > list_Secrecy_KS > $o ).
thf(func_def_63,type,
listre1601064475ession: ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS > list_S529945141ession > $o ).
thf(func_def_64,type,
listre788412843ecy_KS: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > $o ).
thf(func_def_65,type,
map_ta1624757057ession: ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_66,type,
map_ta623472337ession: ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > list_S529945141ession ).
thf(func_def_67,type,
maps_S599402637ession: ( secrecy_Expression > list_S529945141ession ) > list_S529945141ession > list_S529945141ession ).
thf(func_def_68,type,
maps_S399472669ecy_KS: ( secrecy_Expression > list_Secrecy_KS ) > list_S529945141ession > list_Secrecy_KS ).
thf(func_def_69,type,
maps_S1434541085ession: ( secrecy_KS > list_S529945141ession ) > list_Secrecy_KS > list_S529945141ession ).
thf(func_def_70,type,
maps_S377605037ecy_KS: ( secrecy_KS > list_Secrecy_KS ) > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_71,type,
member2020590922ession: list_S529945141ession > secrecy_Expression > $o ).
thf(func_def_72,type,
member_Secrecy_KS: list_Secrecy_KS > secrecy_KS > $o ).
thf(func_def_73,type,
lexord1123423577ession: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession > $o ).
thf(func_def_74,type,
lexord948960489ecy_KS: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > $o ).
thf(func_def_75,type,
produc1450295286ession: list_l425507653ession > list_l425507653ession ).
thf(func_def_76,type,
produc713695622ecy_KS: list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_77,type,
rev_Se1073238207ession: list_S529945141ession > list_S529945141ession ).
thf(func_def_78,type,
rev_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_79,type,
rotate1237234450ession: list_S529945141ession > list_S529945141ession ).
thf(func_def_80,type,
rotate1_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_81,type,
shuffl552897610ession: list_S529945141ession > list_S529945141ession > set_li185139947ession ).
thf(func_def_82,type,
shuffles_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS > set_list_Secrecy_KS ).
thf(func_def_83,type,
splice1390717708ession: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_84,type,
splice_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_85,type,
subseq348280080ession: list_S529945141ession > list_l425507653ession ).
thf(func_def_86,type,
subseqs_Secrecy_KS: list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_87,type,
succes1388047762ession: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ).
thf(func_def_88,type,
succes590251810ecy_KS: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ).
thf(func_def_89,type,
decr: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_90,type,
enc: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_91,type,
encrDecrKeys: secrecy_Keys > secrecy_Keys > $o ).
thf(func_def_92,type,
ext: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_93,type,
sign: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_94,type,
eout: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_95,type,
ine: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_96,type,
notSpe1586871396tsExpr: secrecy_specID > list_S529945141ession > $o ).
thf(func_def_97,type,
specKeys: secrecy_specID > set_Secrecy_Keys ).
thf(func_def_98,type,
specKeysSecrets: secrecy_specID > set_Secrecy_KS ).
thf(func_def_99,type,
specSecrets: secrecy_specID > set_Secrecy_Secrets ).
thf(func_def_100,type,
secrec1371625429on2KSL: list_S529945141ession > list_Secrecy_KS ).
thf(func_def_101,type,
secrecy_kE: secrecy_Keys > secrecy_Expression ).
thf(func_def_102,type,
secrecy_sE: secrecy_Secrets > secrecy_Expression ).
thf(func_def_103,type,
secrec1016742679ession: secrecy_KS > secrecy_Expression ).
thf(func_def_104,type,
secrecy_kKS: secrecy_Keys > secrecy_KS ).
thf(func_def_105,type,
secrecy_sKS: secrecy_Secrets > secrecy_KS ).
thf(func_def_106,type,
collect_Secrecy_KS: ( secrecy_KS > $o ) > set_Secrecy_KS ).
thf(func_def_107,type,
collect_Secrecy_Keys: ( secrecy_Keys > $o ) > set_Secrecy_Keys ).
thf(func_def_108,type,
collec836099393ecrets: ( secrecy_Secrets > $o ) > set_Secrecy_Secrets ).
thf(func_def_109,type,
member249235532ession: list_S529945141ession > set_li185139947ession > $o ).
thf(func_def_110,type,
member193705948ecy_KS: list_Secrecy_KS > set_list_Secrecy_KS > $o ).
thf(func_def_111,type,
member341114536y_Keys: list_Secrecy_Keys > set_li849033543y_Keys > $o ).
thf(func_def_112,type,
member1138497285ecrets: list_Secrecy_Secrets > set_li2007071804ecrets > $o ).
thf(func_def_113,type,
member279582780ession: secrecy_Expression > set_Se1942955227ession > $o ).
thf(func_def_114,type,
member_Secrecy_KS2: secrecy_KS > set_Secrecy_KS > $o ).
thf(func_def_115,type,
member_Secrecy_Keys: secrecy_Keys > set_Secrecy_Keys > $o ).
thf(func_def_116,type,
member2138796287ecrets: secrecy_Secrets > set_Secrecy_Secrets > $o ).
thf(func_def_117,type,
a: secrecy_specID ).
thf(func_def_118,type,
m: secrecy_Keys ).
thf(func_def_122,type,
vAND: $o > $o > $o ).
thf(func_def_123,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_124,type,
vIMP: $o > $o > $o ).
thf(func_def_125,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
vNOT: $o > $o ).
thf(func_def_128,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_129,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_130,type,
vOR: $o > $o > $o ).
thf(func_def_131,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_132,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_135,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_136,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_137,type,
sP0: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > $o ).
thf(func_def_138,type,
sP1: list_S529945141ession > list_S529945141ession > list_S529945141ession > $o ).
thf(func_def_139,type,
sK2: list_Secrecy_KS > secrecy_KS ).
thf(func_def_140,type,
sK3: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_141,type,
sK4: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession ).
thf(func_def_142,type,
sK5: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_143,type,
sK6: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession ).
thf(func_def_144,type,
sK7: list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_145,type,
sK8: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_146,type,
sK9: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_147,type,
sK10: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_148,type,
sK11: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_149,type,
sK12: ( list_Secrecy_Keys > list_l425507653ession > $o ) > secrecy_Keys ).
thf(func_def_150,type,
sK13: ( list_Secrecy_Keys > list_l425507653ession > $o ) > list_S529945141ession ).
thf(func_def_151,type,
sK14: ( list_Secrecy_Keys > list_l425507653ession > $o ) > list_Secrecy_Keys ).
thf(func_def_152,type,
sK15: ( list_Secrecy_Keys > list_l425507653ession > $o ) > list_l425507653ession ).
thf(func_def_153,type,
sK16: ( list_Secrecy_Keys > list_l425507653ession > $o ) > list_S529945141ession ).
thf(func_def_154,type,
sK17: ( list_Secrecy_Keys > list_l425507653ession > $o ) > list_l425507653ession ).
thf(func_def_155,type,
sK18: ( list_Secrecy_Keys > list_l425507653ession > $o ) > secrecy_Keys ).
thf(func_def_156,type,
sK19: ( list_Secrecy_Keys > list_l425507653ession > $o ) > list_Secrecy_Keys ).
thf(func_def_157,type,
sK20: ( list_list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_158,type,
sK21: ( list_list_Secrecy_KS > $o ) > list_list_Secrecy_KS ).
thf(func_def_159,type,
sK22: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_160,type,
sK23: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_161,type,
sK24: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_162,type,
sK25: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_163,type,
sK26: ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_164,type,
sK27: ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_165,type,
sK28: list_Secrecy_Keys > secrecy_Keys ).
thf(func_def_166,type,
sK29: list_Secrecy_Keys > list_Secrecy_Keys ).
thf(func_def_167,type,
sK30: list_l425507653ession > list_l425507653ession ).
thf(func_def_168,type,
sK31: list_l425507653ession > list_S529945141ession ).
thf(func_def_169,type,
sK32: list_S529945141ession > secrecy_Expression ).
thf(func_def_170,type,
sK33: ( list_S529945141ession > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_171,type,
sK34: ( list_S529945141ession > list_Secrecy_KS > $o ) > secrecy_Expression ).
thf(func_def_172,type,
sK35: ( list_S529945141ession > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_173,type,
sK36: ( list_S529945141ession > list_Secrecy_KS > $o ) > list_S529945141ession ).
thf(func_def_174,type,
sK37: ( list_S529945141ession > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_175,type,
sK38: ( list_S529945141ession > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_176,type,
sK39: ( list_S529945141ession > list_Secrecy_KS > $o ) > secrecy_Expression ).
thf(func_def_177,type,
sK40: ( list_S529945141ession > list_Secrecy_KS > $o ) > list_S529945141ession ).
thf(func_def_178,type,
sK41: ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession > list_Secrecy_KS > list_S529945141ession ).
thf(func_def_179,type,
sK42: ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession > list_Secrecy_KS > secrecy_KS ).
thf(func_def_180,type,
sK43: ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession > list_Secrecy_KS > secrecy_Expression ).
thf(func_def_181,type,
sK44: ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_182,type,
sK45: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_183,type,
sK46: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_184,type,
sK47: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_185,type,
sK48: list_Secrecy_KS > list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_186,type,
sK49: list_Secrecy_KS > list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_187,type,
sK50: list_Secrecy_KS > list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_188,type,
sK51: list_Secrecy_KS > list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_189,type,
sK52: ( list_Secrecy_Keys > $o ) > secrecy_Keys ).
thf(func_def_190,type,
sK53: ( list_Secrecy_Keys > $o ) > list_Secrecy_Keys ).
thf(func_def_191,type,
sK54: list_S529945141ession > secrecy_Expression ).
thf(func_def_192,type,
sK55: list_S529945141ession > list_S529945141ession ).
thf(func_def_193,type,
sK56: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS > secrecy_KS > $o ).
thf(func_def_194,type,
sK57: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS > secrecy_KS > $o ).
thf(func_def_195,type,
sK58: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_196,type,
sK59: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_197,type,
sK60: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_198,type,
sK61: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > list_Secrecy_KS ).
thf(func_def_199,type,
sK62: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_KS ).
thf(func_def_200,type,
sK63: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_KS > secrecy_Expression ).
thf(func_def_201,type,
sK64: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_202,type,
sK65: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_KS > secrecy_Expression ).
thf(func_def_203,type,
sK66: list_Secrecy_KS > secrecy_KS ).
thf(func_def_204,type,
sK67: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_205,type,
sK68: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_206,type,
sK69: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_207,type,
sK70: ( list_Secrecy_Keys > list_list_Secrecy_KS > $o ) > list_Secrecy_Keys ).
thf(func_def_208,type,
sK71: ( list_Secrecy_Keys > list_list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_209,type,
sK72: ( list_Secrecy_Keys > list_list_Secrecy_KS > $o ) > secrecy_Keys ).
thf(func_def_210,type,
sK73: ( list_Secrecy_Keys > list_list_Secrecy_KS > $o ) > list_list_Secrecy_KS ).
thf(func_def_211,type,
sK74: ( list_Secrecy_Keys > list_list_Secrecy_KS > $o ) > secrecy_Keys ).
thf(func_def_212,type,
sK75: ( list_Secrecy_Keys > list_list_Secrecy_KS > $o ) > list_Secrecy_Keys ).
thf(func_def_213,type,
sK76: ( list_Secrecy_Keys > list_list_Secrecy_KS > $o ) > list_list_Secrecy_KS ).
thf(func_def_214,type,
sK77: ( list_Secrecy_Keys > list_list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_215,type,
sK78: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_216,type,
sK79: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_217,type,
sK80: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_218,type,
sK81: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_219,type,
sK82: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_220,type,
sK83: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_221,type,
sK84: list_Secrecy_KS > list_list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_222,type,
sK85: list_Secrecy_KS > list_list_Secrecy_KS > list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_223,type,
sK86: list_Secrecy_KS > list_list_Secrecy_KS > list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_224,type,
sK87: list_Secrecy_KS > list_list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_225,type,
sK88: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_226,type,
sK89: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_227,type,
sK90: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_228,type,
sK91: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_229,type,
sK92: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_230,type,
sK93: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_231,type,
sK94: list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_232,type,
sK95: list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_233,type,
sK96: list_list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_234,type,
sK97: list_list_Secrecy_KS > secrecy_KS ).
thf(func_def_235,type,
sK98: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_236,type,
sK99: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_237,type,
sK100: ( list_Secrecy_Keys > list_Secrecy_Keys > $o ) > list_Secrecy_Keys ).
thf(func_def_238,type,
sK101: ( list_Secrecy_Keys > list_Secrecy_Keys > $o ) > secrecy_Keys ).
thf(func_def_239,type,
sK102: ( list_Secrecy_Keys > list_Secrecy_Keys > $o ) > secrecy_Keys ).
thf(func_def_240,type,
sK103: ( list_Secrecy_Keys > list_Secrecy_Keys > $o ) > list_Secrecy_Keys ).
thf(func_def_241,type,
sK104: ( list_Secrecy_Keys > list_Secrecy_Keys > $o ) > list_Secrecy_Keys ).
thf(func_def_242,type,
sK105: ( list_Secrecy_Keys > list_Secrecy_Keys > $o ) > list_Secrecy_Keys ).
thf(func_def_243,type,
sK106: ( list_Secrecy_Keys > list_Secrecy_Keys > $o ) > secrecy_Keys ).
thf(func_def_244,type,
sK107: ( list_Secrecy_Keys > list_Secrecy_Keys > $o ) > secrecy_Keys ).
thf(func_def_245,type,
sK108: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS > secrecy_KS > $o ).
thf(func_def_246,type,
sK109: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_247,type,
sK110: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS > secrecy_KS > $o ).
thf(func_def_248,type,
sK111: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_249,type,
sK112: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_250,type,
sK113: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS > secrecy_KS > $o ).
thf(func_def_251,type,
sK114: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_252,type,
sK115: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_253,type,
sK116: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_254,type,
sK117: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_255,type,
sK118: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_256,type,
sK119: list_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_257,type,
sK120: list_Secrecy_Secrets > list_Secrecy_Secrets ).
thf(func_def_258,type,
sK121: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_259,type,
sK122: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_260,type,
sK123: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_261,type,
sK124: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_262,type,
sK125: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > ( secrecy_KS > secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_263,type,
sK126: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_264,type,
sK127: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > ( secrecy_KS > secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_265,type,
sK128: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_266,type,
sK129: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_267,type,
sK130: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_268,type,
sK131: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_269,type,
sK132: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_270,type,
sK133: list_Secrecy_Keys > list_Secrecy_Keys ).
thf(func_def_271,type,
sK134: list_Secrecy_Keys > secrecy_Keys ).
thf(func_def_272,type,
sK135: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_273,type,
sK136: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_274,type,
sK137: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_275,type,
sK138: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_276,type,
sK139: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > secrecy_Expression ).
thf(func_def_277,type,
sK140: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > secrecy_Expression ).
thf(func_def_278,type,
sK141: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession ).
thf(func_def_279,type,
sK142: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession ).
thf(func_def_280,type,
sK143: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > secrecy_Expression ).
thf(func_def_281,type,
sK144: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession ).
thf(func_def_282,type,
sK145: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > secrecy_Expression ).
thf(func_def_283,type,
sK146: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession ).
thf(func_def_284,type,
sK147: ( list_Secrecy_Secrets > $o ) > secrecy_Secrets ).
thf(func_def_285,type,
sK148: ( list_Secrecy_Secrets > $o ) > list_Secrecy_Secrets ).
thf(func_def_286,type,
sK149: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_287,type,
sK150: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_288,type,
sK151: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_289,type,
sK152: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_290,type,
sK153: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_291,type,
sK154: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_292,type,
sK155: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_293,type,
sK156: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_294,type,
sK157: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_295,type,
sK158: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_296,type,
sK159: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_297,type,
sK160: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_298,type,
sK161: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_299,type,
sK162: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_300,type,
sK163: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_301,type,
sK164: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_302,type,
sK165: list_S529945141ession > secrecy_Expression ).
thf(func_def_303,type,
sK166: list_S529945141ession > list_S529945141ession ).
thf(func_def_304,type,
sK167: list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_305,type,
sK168: list_list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_306,type,
sK169: ( list_Secrecy_Keys > list_Secrecy_KS > $o ) > list_Secrecy_Keys ).
thf(func_def_307,type,
sK170: ( list_Secrecy_Keys > list_Secrecy_KS > $o ) > secrecy_Keys ).
thf(func_def_308,type,
sK171: ( list_Secrecy_Keys > list_Secrecy_KS > $o ) > secrecy_Keys ).
thf(func_def_309,type,
sK172: ( list_Secrecy_Keys > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_310,type,
sK173: ( list_Secrecy_Keys > list_Secrecy_KS > $o ) > list_Secrecy_Keys ).
thf(func_def_311,type,
sK174: ( list_Secrecy_Keys > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_312,type,
sK175: ( list_Secrecy_Keys > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_313,type,
sK176: ( list_Secrecy_Keys > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_314,type,
sK177: list_S529945141ession > secrecy_Expression ).
thf(func_def_315,type,
sK178: ( secrecy_KS > $o ) > secrecy_Keys ).
thf(func_def_316,type,
sK179: ( secrecy_KS > $o ) > secrecy_Secrets ).
thf(func_def_317,type,
sK180: secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_318,type,
sK181: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_319,type,
sK182: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_320,type,
sK183: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_321,type,
sK184: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_322,type,
sK185: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_323,type,
sK186: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_324,type,
sK187: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_325,type,
sK188: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_326,type,
sK189: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_327,type,
sK190: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_328,type,
sK191: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_329,type,
sK192: list_l425507653ession > list_S529945141ession ).
thf(func_def_330,type,
sK193: list_l425507653ession > list_l425507653ession ).
thf(func_def_331,type,
sK194: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_332,type,
sK195: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_333,type,
sK196: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_334,type,
sK197: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_335,type,
sK198: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_336,type,
sK199: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_337,type,
sK200: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_338,type,
sK201: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_339,type,
sK202: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_340,type,
sK203: list_l425507653ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_341,type,
sK204: list_l425507653ession > list_S529945141ession > list_S529945141ession > list_l425507653ession ).
thf(func_def_342,type,
sK205: list_l425507653ession > list_S529945141ession > list_S529945141ession > list_l425507653ession ).
thf(func_def_343,type,
sK206: list_l425507653ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_344,type,
sK207: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_345,type,
sK208: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_346,type,
sK209: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_347,type,
sK210: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_348,type,
sK211: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_349,type,
sK212: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_350,type,
sK213: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_351,type,
sK214: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_352,type,
sK215: ( secrecy_KS > secrecy_Expression > $o ) > ( list_Secrecy_KS > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_353,type,
sK216: ( secrecy_KS > secrecy_Expression > $o ) > ( list_Secrecy_KS > list_S529945141ession > $o ) > list_Secrecy_KS ).
thf(func_def_354,type,
sK217: ( secrecy_KS > secrecy_Expression > $o ) > ( list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_355,type,
sK218: ( secrecy_KS > secrecy_Expression > $o ) > ( list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_KS ).
thf(func_def_356,type,
sK219: secrecy_Expression > list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_357,type,
sK220: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_358,type,
sK221: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > secrecy_KS ).
thf(func_def_359,type,
sK222: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > secrecy_KS ).
thf(func_def_360,type,
sK223: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_361,type,
sK224: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > secrecy_KS ).
thf(func_def_362,type,
sK225: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_363,type,
sK226: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > secrecy_KS ).
thf(func_def_364,type,
sK227: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_365,type,
sK228: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_366,type,
sK229: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_367,type,
sK230: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_368,type,
sK231: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_369,type,
sK232: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_370,type,
sK233: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_371,type,
sK234: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_372,type,
sK235: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_373,type,
sK236: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_374,type,
sK237: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_375,type,
sK238: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_376,type,
sK239: list_list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_377,type,
sK240: list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_378,type,
sK241: list_S529945141ession > list_l425507653ession > list_S529945141ession > list_l425507653ession ).
thf(func_def_379,type,
sK242: list_S529945141ession > list_l425507653ession > list_S529945141ession > list_l425507653ession ).
thf(func_def_380,type,
sK243: list_S529945141ession > list_l425507653ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_381,type,
sK244: list_S529945141ession > list_l425507653ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_382,type,
sK245: list_Secrecy_KS > secrecy_KS ).
thf(func_def_383,type,
sK246: list_Secrecy_KS > secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_384,type,
sK247: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_385,type,
sK248: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_386,type,
sK249: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression > $o ).
thf(func_def_387,type,
sK250: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression > $o ).
thf(func_def_388,type,
sK251: ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS > list_S529945141ession > list_Secrecy_KS ).
thf(func_def_389,type,
sK252: ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS > list_S529945141ession > secrecy_Expression ).
thf(func_def_390,type,
sK253: ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS > list_S529945141ession > secrecy_KS ).
thf(func_def_391,type,
sK254: ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS > list_S529945141ession > list_S529945141ession ).
thf(func_def_392,type,
sK255: ( list_Secrecy_Keys > list_Secrecy_Secrets > $o ) > list_Secrecy_Keys ).
thf(func_def_393,type,
sK256: ( list_Secrecy_Keys > list_Secrecy_Secrets > $o ) > list_Secrecy_Secrets ).
thf(func_def_394,type,
sK257: ( list_Secrecy_Keys > list_Secrecy_Secrets > $o ) > secrecy_Keys ).
thf(func_def_395,type,
sK258: ( list_Secrecy_Keys > list_Secrecy_Secrets > $o ) > secrecy_Secrets ).
thf(func_def_396,type,
sK259: ( list_Secrecy_Keys > list_Secrecy_Secrets > $o ) > list_Secrecy_Secrets ).
thf(func_def_397,type,
sK260: ( list_Secrecy_Keys > list_Secrecy_Secrets > $o ) > secrecy_Secrets ).
thf(func_def_398,type,
sK261: ( list_Secrecy_Keys > list_Secrecy_Secrets > $o ) > secrecy_Keys ).
thf(func_def_399,type,
sK262: ( list_Secrecy_Keys > list_Secrecy_Secrets > $o ) > list_Secrecy_Keys ).
thf(func_def_400,type,
sK263: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression > $o ).
thf(func_def_401,type,
sK264: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_402,type,
sK265: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_403,type,
sK266: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_404,type,
sK267: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression > $o ).
thf(func_def_405,type,
sK268: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression > $o ).
thf(func_def_406,type,
sK269: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_407,type,
sK270: ( list_l425507653ession > $o ) > list_l425507653ession ).
thf(func_def_408,type,
sK271: ( list_l425507653ession > $o ) > list_S529945141ession ).
thf(func_def_409,type,
sK272: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_410,type,
sK273: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_411,type,
sK274: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_412,type,
sK275: ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > list_S529945141ession > secrecy_KS ).
thf(func_def_413,type,
sK276: ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > list_S529945141ession > list_Secrecy_KS ).
thf(func_def_414,type,
sK277: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_415,type,
sK278: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_416,type,
sK279: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_417,type,
sK280: list_S529945141ession > secrecy_Expression ).
thf(func_def_418,type,
sK281: list_S529945141ession > list_S529945141ession ).
thf(func_def_419,type,
sK282: list_S529945141ession > secrecy_Expression ).
thf(func_def_420,type,
sK283: list_S529945141ession > secrecy_Expression ).
thf(func_def_421,type,
sK284: list_Secrecy_KS > secrecy_KS ).
thf(func_def_422,type,
sK285: list_Secrecy_KS > secrecy_KS ).
thf(func_def_423,type,
sK286: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_424,type,
sK287: list_Secrecy_KS > secrecy_KS ).
thf(func_def_425,type,
sK288: list_Secrecy_KS > secrecy_KS ).
thf(func_def_426,type,
sK289: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_427,type,
sK290: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_428,type,
sK291: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_429,type,
sK292: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_430,type,
sK293: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_431,type,
sK294: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_432,type,
sK295: list_Secrecy_KS > secrecy_KS ).
thf(func_def_433,type,
sK296: secrecy_Expression > list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_434,type,
sK297: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_435,type,
sK298: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_436,type,
sK299: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_437,type,
sK300: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_438,type,
sK301: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_439,type,
sK302: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_440,type,
sK303: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_441,type,
sK304: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_442,type,
sK305: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_443,type,
sK306: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_444,type,
sK307: list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_445,type,
sK308: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_446,type,
sK309: list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_447,type,
sK310: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_448,type,
sK311: list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_449,type,
sK312: list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_450,type,
sK313: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_451,type,
sK314: ( list_S529945141ession > list_Secrecy_KS > $o ) > ( secrecy_Expression > secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_452,type,
sK315: ( list_S529945141ession > list_Secrecy_KS > $o ) > ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession ).
thf(func_def_453,type,
sK316: ( list_S529945141ession > list_Secrecy_KS > $o ) > ( secrecy_Expression > secrecy_KS > $o ) > secrecy_Expression ).
thf(func_def_454,type,
sK317: ( list_S529945141ession > list_Secrecy_KS > $o ) > ( secrecy_Expression > secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_455,type,
sK318: list_Secrecy_Secrets > list_Secrecy_Secrets ).
thf(func_def_456,type,
sK319: list_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_457,type,
sK320: secrecy_KS > secrecy_Secrets ).
thf(func_def_458,type,
sK321: secrecy_KS > secrecy_Keys ).
thf(func_def_459,type,
sK322: list_S529945141ession > secrecy_Expression ).
thf(func_def_460,type,
sK323: list_S529945141ession > list_S529945141ession ).
thf(func_def_461,type,
sK324: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_462,type,
sK325: secrecy_Expression > secrecy_specID > secrecy_Keys ).
thf(func_def_463,type,
sK326: secrecy_Expression > secrecy_specID > secrecy_Secrets ).
thf(func_def_464,type,
sK327: list_l425507653ession > list_l425507653ession ).
thf(func_def_465,type,
sK328: list_l425507653ession > list_l425507653ession ).
thf(func_def_466,type,
sK329: list_l425507653ession > secrecy_Expression ).
thf(func_def_467,type,
sK330: list_l425507653ession > list_S529945141ession ).
thf(func_def_468,type,
sK331: ( list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_469,type,
sK332: ( list_Secrecy_KS > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_470,type,
sK333: ( list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_KS ).
thf(func_def_471,type,
sK334: ( list_Secrecy_KS > list_S529945141ession > $o ) > list_Secrecy_KS ).
thf(func_def_472,type,
sK335: ( list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_KS ).
thf(func_def_473,type,
sK336: ( list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_474,type,
sK337: ( list_Secrecy_KS > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_475,type,
sK338: ( list_Secrecy_KS > list_S529945141ession > $o ) > list_Secrecy_KS ).
thf(func_def_476,type,
sK339: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_477,type,
sK340: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_478,type,
sK341: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression ).
thf(func_def_479,type,
sK342: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_480,type,
sK343: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_481,type,
sK344: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression ).
thf(func_def_483,type,
inv_secrecy_kKS_346: secrecy_KS > secrecy_Keys ).
thf(func_def_484,type,
inv_secrecy_sE_347: secrecy_Expression > secrecy_Secrets ).
thf(func_def_485,type,
inv_secrecy_kE_348: secrecy_Expression > secrecy_Keys ).
thf(func_def_486,type,
inv_secrecy_sKS_349: secrecy_KS > secrecy_Secrets ).
thf(f1,axiom,
knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms) ).
thf(f8,axiom,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( knowle731562421_knows @ X0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X1 ) ) @ nil_Se901661471ession ) )
= ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_know1k) ).
thf(f14,axiom,
! [X0: secrecy_Keys] :
( ( secrec1016742679ession @ ( secrecy_kKS @ X0 ) )
= ( secrecy_kE @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_KS2Expression_Osimps_I1_J) ).
thf(f352,conjecture,
knowle945212990e_know @ a @ ( secrecy_kKS @ m ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f353,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ),
inference(negated_conjecture,[status(cth)],[f352]) ).
thf(f360,plain,
~ ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ),
inference(rectify,[],[f353]) ).
thf(f361,plain,
( ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) )
!= $true ),
inference(fool_elimination,[],[f360]) ).
thf(f690,plain,
knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ),
inference(rectify,[],[f1]) ).
thf(f691,plain,
( ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ) )
= $true ),
inference(fool_elimination,[],[f690]) ).
thf(f735,plain,
( ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) )
!= $true ),
inference(flattening,[],[f361]) ).
thf(f1641,plain,
( ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ) )
= $true ),
inference(cnf_transformation,[],[f691]) ).
thf(f1674,plain,
! [X0: secrecy_Keys] :
( ( secrecy_kE @ X0 )
= ( secrec1016742679ession @ ( secrecy_kKS @ X0 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f1677,plain,
( ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) )
!= $true ),
inference(cnf_transformation,[],[f735]) ).
thf(f2209,plain,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
= ( knowle731562421_knows @ X0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X1 ) ) @ nil_Se901661471ession ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f2453,plain,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
= $true )
| ( ( knowle731562421_knows @ X0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X1 ) ) @ nil_Se901661471ession ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f2209]) ).
thf(f2553,definition,
( spl345_21
<=> ( ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl345_21])],[avatar_definition]) ).
thf(f2555,plain,
( ( ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ) )
= $true )
| ~ spl345_21 ),
inference(avatar_component_clause,[],[f2553]) ).
thf(f2556,plain,
spl345_21,
inference(avatar_split_clause,[],[f1641,f2553]) ).
thf(f2573,definition,
( spl345_25
<=> ( ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl345_25])],[avatar_definition]) ).
thf(f2575,plain,
( ( ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) )
!= $true )
| spl345_25 ),
inference(avatar_component_clause,[],[f2573]) ).
thf(f2576,plain,
~ spl345_25,
inference(avatar_split_clause,[],[f1677,f2573]) ).
thf(f2845,plain,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( ( knowle731562421_knows @ X0 @ ( cons_S112077679ession @ ( secrecy_kE @ X1 ) @ nil_Se901661471ession ) )
= $false )
| ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
= $true ) ),
inference(forward_demodulation,[],[f2453,f1674]) ).
thf(f2849,plain,
( ( ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) )
= $true )
| ( $false = $true )
| ~ spl345_21 ),
inference(superposition,[],[f2555,f2845]) ).
thf(f2854,plain,
( ( ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) )
= $true )
| ~ spl345_21 ),
inference(trivial_inequality_removal,[],[f2849]) ).
thf(f2859,plain,
( $false
| ~ spl345_21
| spl345_25 ),
inference(forward_subsumption_resolution,[],[f2854,f2575]) ).
thf(f2860,plain,
( ~ spl345_21
| spl345_25 ),
inference(avatar_contradiction_clause,[],[f2859]) ).
cnf(s21,plain,
spl345_21,
inference(sat_conversion,[],[f2556]) ).
cnf(s26,plain,
~ spl345_25,
inference(sat_conversion,[],[f2576]) ).
cnf(s64,plain,
( ~ spl345_21
| spl345_25 ),
inference(sat_conversion,[],[f2860]) ).
cnf(s66,plain,
~ spl345_21,
inference(rat,[],[s64,s26]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s21,s66]) ).
thf(f2862,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP084^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n013.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 19:49:38 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.21/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.46 % (2573696)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.29/0.46 % (2573705)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3871276937:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.29/0.46 % (2573705)Instruction limit reached!
% 0.29/0.46 % (2573705)------------------------------
% 0.29/0.46 % (2573705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2573705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2573705)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2573705)Termination reason: Instruction limit
% 0.29/0.46 % (2573705)Termination phase: Property scanning
% 0.29/0.46 % (2573705)Time elapsed: 0.006 s
% 0.29/0.46 % (2573705)Peak memory usage: 11 MB
% 0.29/0.46 % (2573705)Instructions burned: 26 (million)
% 0.29/0.46 % (2573701)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2230625264:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.29/0.46 % (2573702)lrs+10_16_si=on:nwc=1.5:random_seed=1361247640:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.29/0.46 % (2573703)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3624353851:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.29/0.46 % (2573704)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=4114725242:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.29/0.46 % (2573703)Instruction limit reached!
% 0.29/0.46 % (2573703)------------------------------
% 0.29/0.46 % (2573703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2573703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2573703)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2573703)Termination reason: Instruction limit
% 0.29/0.46 % (2573703)Termination phase: shuffling
% 0.29/0.46 % (2573703)Time elapsed: 0.003 s
% 0.29/0.46 % (2573703)Peak memory usage: 10 MB
% 0.29/0.46 % (2573703)Instructions burned: 6 (million)
% 0.29/0.46 % (2573707)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.29/0.46 % (2573707)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.29/0.46 % (2573702)Instruction limit reached!
% 0.29/0.46 % (2573702)------------------------------
% 0.29/0.46 % (2573702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2573702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2573702)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2573702)Termination reason: Instruction limit
% 0.29/0.46 % (2573702)Termination phase: shuffling
% 0.29/0.46 % (2573702)Time elapsed: 0.008 s
% 0.29/0.46 % (2573702)Peak memory usage: 10 MB
% 0.29/0.46 % (2573702)Instructions burned: 18 (million)
% 0.29/0.46 % (2573706)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=620666805:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.29/0.46 % (2573709)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4165061601:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.29/0.46 % (2573709)Instruction limit reached!
% 0.29/0.46 % (2573709)------------------------------
% 0.29/0.46 % (2573709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.46 % (2573709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.46 % (2573709)CaDiCaL version: 2.1.3
% 0.29/0.46 % (2573709)Termination reason: Instruction limit
% 0.29/0.46 % (2573709)Termination phase: shuffling
% 0.29/0.46 % (2573709)Time elapsed: 0.001 s
% 0.29/0.46 % (2573709)Peak memory usage: 10 MB
% 0.29/0.46 % (2573709)Instructions burned: 6 (million)
% 0.29/0.46 % (2573707)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=583856057:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.29/0.46 % (2573719)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=561597782:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.99/0.49 % (2573714)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3648097280:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.99/0.49 % (2573717)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.99/0.49 % (2573719)Instruction limit reached!
% 0.99/0.49 % (2573719)------------------------------
% 0.99/0.49 % (2573719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573719)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573719)Termination reason: Instruction limit
% 0.99/0.49 % (2573719)Termination phase: shuffling
% 0.99/0.49 % (2573719)Time elapsed: 0.003 s
% 0.99/0.49 % (2573719)Peak memory usage: 10 MB
% 0.99/0.49 % (2573719)Instructions burned: 15 (million)
% 0.99/0.49 % (2573714)Instruction limit reached!
% 0.99/0.49 % (2573714)------------------------------
% 0.99/0.49 % (2573714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573714)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573714)Termination reason: Instruction limit
% 0.99/0.49 % (2573714)Termination phase: shuffling
% 0.99/0.49 % (2573714)Time elapsed: 0.003 s
% 0.99/0.49 % (2573714)Peak memory usage: 10 MB
% 0.99/0.49 % (2573714)Instructions burned: 6 (million)
% 0.99/0.49 % (2573717)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1925081274:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.99/0.49 % (2573717)Instruction limit reached!
% 0.99/0.49 % (2573717)------------------------------
% 0.99/0.49 % (2573717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573717)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573717)Termination reason: Instruction limit
% 0.99/0.49 % (2573717)Termination phase: shuffling
% 0.99/0.49 % (2573717)Time elapsed: 0.004 s
% 0.99/0.49 % (2573717)Peak memory usage: 10 MB
% 0.99/0.49 % (2573717)Instructions burned: 9 (million)
% 0.99/0.49 % (2573722)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.99/0.49 % (2573722)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.99/0.49 % (2573722)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1650092754:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.99/0.49 % (2573701)Instruction limit reached!
% 0.99/0.49 % (2573701)------------------------------
% 0.99/0.49 % (2573701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573701)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573701)Termination reason: Instruction limit
% 0.99/0.49 % (2573701)Termination phase: Property scanning
% 0.99/0.49 % (2573701)Time elapsed: 0.041 s
% 0.99/0.49 % (2573701)Peak memory usage: 12 MB
% 0.99/0.49 % (2573701)Instructions burned: 88 (million)
% 0.99/0.49 % (2573722)Instruction limit reached!
% 0.99/0.49 % (2573722)------------------------------
% 0.99/0.49 % (2573722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573722)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573722)Termination reason: Instruction limit
% 0.99/0.49 % (2573722)Termination phase: shuffling
% 0.99/0.49 % (2573722)Time elapsed: 0.007 s
% 0.99/0.49 % (2573722)Peak memory usage: 11 MB
% 0.99/0.49 % (2573722)Instructions burned: 29 (million)
% 0.99/0.49 % (2573723)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=88952355:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.99/0.49 % (2573706)Instruction limit reached!
% 0.99/0.49 % (2573706)------------------------------
% 0.99/0.49 % (2573706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573706)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573706)Termination reason: Instruction limit
% 0.99/0.49 % (2573706)Termination phase: Property scanning
% 0.99/0.49 % (2573706)Time elapsed: 0.037 s
% 0.99/0.49 % (2573706)Peak memory usage: 12 MB
% 0.99/0.49 % (2573706)Instructions burned: 77 (million)
% 0.99/0.49 % (2573727)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.99/0.49 % (2573725)lrs+10_1_si=on:cs=on:random_seed=1781720085:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.99/0.49 % (2573727)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2994180947:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.99/0.49 % (2573727)Instruction limit reached!
% 0.99/0.49 % (2573727)------------------------------
% 0.99/0.49 % (2573727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573727)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573727)Termination reason: Instruction limit
% 0.99/0.49 % (2573727)Termination phase: shuffling
% 0.99/0.49 % (2573727)Time elapsed: 0.001 s
% 0.99/0.49 % (2573727)Peak memory usage: 10 MB
% 0.99/0.49 % (2573727)Instructions burned: 5 (million)
% 0.99/0.49 % (2573725)Instruction limit reached!
% 0.99/0.49 % (2573725)------------------------------
% 0.99/0.49 % (2573725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573725)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573725)Termination reason: Instruction limit
% 0.99/0.49 % (2573725)Termination phase: shuffling
% 0.99/0.49 % (2573725)Time elapsed: 0.005 s
% 0.99/0.49 % (2573725)Peak memory usage: 10 MB
% 0.99/0.49 % (2573725)Instructions burned: 10 (million)
% 0.99/0.49 % (2573728)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=318147692:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.99/0.49 % (2573733)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1610451723:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.99/0.49 % (2573730)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2443312597:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.99/0.49 % (2573733)Instruction limit reached!
% 0.99/0.49 % (2573733)------------------------------
% 0.99/0.49 % (2573733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573733)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573733)Termination reason: Instruction limit
% 0.99/0.49 % (2573733)Termination phase: Property scanning
% 0.99/0.49 % (2573733)Time elapsed: 0.006 s
% 0.99/0.49 % (2573733)Peak memory usage: 11 MB
% 0.99/0.49 % (2573733)Instructions burned: 28 (million)
% 0.99/0.49 % (2573734)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4042489220:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.99/0.49 % (2573728)Instruction limit reached!
% 0.99/0.49 % (2573728)------------------------------
% 0.99/0.49 % (2573728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573728)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573728)Termination reason: Instruction limit
% 0.99/0.49 % (2573728)Termination phase: SInE selection
% 0.99/0.49 % (2573728)Time elapsed: 0.017 s
% 0.99/0.49 % (2573728)Peak memory usage: 11 MB
% 0.99/0.49 % (2573728)Instructions burned: 38 (million)
% 0.99/0.49 % (2573738)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1141839849:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.99/0.49 % (2573723)Instruction limit reached!
% 0.99/0.49 % (2573723)------------------------------
% 0.99/0.49 % (2573723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573723)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573723)Termination reason: Instruction limit
% 0.99/0.49 % (2573723)Termination phase: Property scanning
% 0.99/0.49 % (2573723)Time elapsed: 0.038 s
% 0.99/0.49 % (2573723)Peak memory usage: 11 MB
% 0.99/0.49 % (2573723)Instructions burned: 87 (million)
% 0.99/0.49 % (2573734)Instruction limit reached!
% 0.99/0.49 % (2573734)------------------------------
% 0.99/0.49 % (2573734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573734)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573734)Termination reason: Instruction limit
% 0.99/0.49 % (2573734)Termination phase: shuffling
% 0.99/0.49 % (2573734)Time elapsed: 0.008 s
% 0.99/0.49 % (2573734)Peak memory usage: 10 MB
% 0.99/0.49 % (2573734)Instructions burned: 16 (million)
% 0.99/0.49 % (2573740)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=96900739:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.99/0.49 % (2573730)Refutation not found, incomplete strategy
% 0.99/0.49 % (2573730)------------------------------
% 0.99/0.49 % (2573730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573730)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573730)Termination reason: Refutation not found, incomplete strategy
% 0.99/0.49 % (2573730)Time elapsed: 0.035 s
% 0.99/0.49 % (2573730)Peak memory usage: 14 MB
% 0.99/0.49 % (2573730)Instructions burned: 74 (million)
% 0.99/0.49 % (2573730)------------------------------
% 0.99/0.49 % (2573730)------------------------------
% 0.99/0.49 % (2573742)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2081732042:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.99/0.49 % (2573743)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=208939035:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.99/0.49 % (2573742)Instruction limit reached!
% 0.99/0.49 % (2573742)------------------------------
% 0.99/0.49 % (2573742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573742)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573742)Termination reason: Instruction limit
% 0.99/0.49 % (2573742)Termination phase: shuffling
% 0.99/0.49 % (2573742)Time elapsed: 0.003 s
% 0.99/0.49 % (2573742)Peak memory usage: 10 MB
% 0.99/0.49 % (2573742)Instructions burned: 5 (million)
% 0.99/0.49 % (2573740)Instruction limit reached!
% 0.99/0.49 % (2573740)------------------------------
% 0.99/0.49 % (2573740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573740)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573740)Termination reason: Instruction limit
% 0.99/0.49 % (2573740)Termination phase: shuffling
% 0.99/0.49 % (2573740)Time elapsed: 0.008 s
% 0.99/0.49 % (2573740)Peak memory usage: 10 MB
% 0.99/0.49 % (2573740)Instructions burned: 15 (million)
% 0.99/0.49 % (2573707)Instruction limit reached!
% 0.99/0.49 % (2573707)------------------------------
% 0.99/0.49 % (2573707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573707)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573707)Termination reason: Instruction limit
% 0.99/0.49 % (2573707)Termination phase: Saturation
% 0.99/0.49 % (2573707)Time elapsed: 0.097 s
% 0.99/0.49 % (2573707)Peak memory usage: 14 MB
% 0.99/0.49 % (2573707)Instructions burned: 157 (million)
% 0.99/0.49 % (2573704) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2573696-2573704"...
% 0.99/0.49 % (2573743)Instruction limit reached!
% 0.99/0.49 % (2573743)------------------------------
% 0.99/0.49 % (2573743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.49 % (2573743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.49 % (2573743)CaDiCaL version: 2.1.3
% 0.99/0.49 % (2573743)Termination reason: Instruction limit
% 0.99/0.49 % (2573743)Termination phase: shuffling
% 0.99/0.49 % (2573743)Time elapsed: 0.012 s
% 0.99/0.49 % (2573743)Peak memory usage: 10 MB
% 0.99/0.49 % (2573743)Instructions burned: 27 (million)
% 0.99/0.49 % (2573704)...printing done.
% 0.99/0.49 % (2573704)Refutation found. Thanks to Tanya!
% 0.99/0.49 % SZS status Theorem for theBenchmark
% 0.99/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.99/0.50 % (2573704)------------------------------
% 0.99/0.50 % (2573704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.50 % (2573704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.50 % (2573704)CaDiCaL version: 2.1.3
% 0.99/0.50 % (2573704)Termination reason: Refutation
% 0.99/0.50 % (2573704)Time elapsed: 0.115 s
% 0.99/0.50 % (2573704)Peak memory usage: 16 MB
% 0.99/0.50 % (2573704)Instructions burned: 232 (million)
% 0.99/0.50 % (2573696)Success in time 0.175 s
% 0.99/0.50 % Vampire exiting
%------------------------------------------------------------------------------