%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP085^1 : 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 : 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 08:08:16 AM UTC 2026
% Result : Theorem 1.03s 0.57s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 24 unt; 0 typ; 3 def)
% Number of atoms : 98 ( 23 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 166 ( 20 ~; 14 |; 0 &; 129 @)
% ( 3 <=>; 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 : 449 ( 446 usr; 13 con; 0-4 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 12 :)
% 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,
knowle233900195orrect: secrecy_specID > secrecy_KS > $o ).
thf(func_def_10,type,
knowle1268625169orrect: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_11,type,
knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).
thf(func_def_12,type,
knowle731562421_knows: secrecy_specID > list_S529945141ession > $o ).
thf(func_def_13,type,
mem_Se1967555118ession: secrecy_Expression > list_S529945141ession > $o ).
thf(func_def_14,type,
mem_Secrecy_KS: secrecy_KS > list_Secrecy_KS > $o ).
thf(func_def_15,type,
append1105297242ession: list_l425507653ession > list_l425507653ession > list_l425507653ession ).
thf(func_def_16,type,
append1376766698ecy_KS: list_list_Secrecy_KS > list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_17,type,
append2089414218ession: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_18,type,
append_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_19,type,
append_Secrecy_Keys: list_Secrecy_Keys > list_Secrecy_Keys > list_Secrecy_Keys ).
thf(func_def_20,type,
append186372209ecrets: list_Secrecy_Secrets > list_Secrecy_Secrets > list_Secrecy_Secrets ).
thf(func_def_21,type,
bind_S815874003ession: list_S529945141ession > ( secrecy_Expression > list_S529945141ession ) > list_S529945141ession ).
thf(func_def_22,type,
bind_S1823644515ecy_KS: list_S529945141ession > ( secrecy_Expression > list_Secrecy_KS ) > list_Secrecy_KS ).
thf(func_def_23,type,
bind_S711229283ession: list_Secrecy_KS > ( secrecy_KS > list_S529945141ession ) > list_S529945141ession ).
thf(func_def_24,type,
bind_S645462771ecy_KS: list_Secrecy_KS > ( secrecy_KS > list_Secrecy_KS ) > list_Secrecy_KS ).
thf(func_def_25,type,
butlas171474643ession: list_S529945141ession > list_S529945141ession ).
thf(func_def_26,type,
butlast_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_27,type,
concat388015140ession: list_l425507653ession > list_S529945141ession ).
thf(func_def_28,type,
concat_Secrecy_KS: list_list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_29,type,
distin1076152135ession: list_S529945141ession > $o ).
thf(func_def_30,type,
distin1495927511ecy_KS: list_Secrecy_KS > $o ).
thf(func_def_31,type,
foldr_1531709715ession: ( list_S529945141ession > list_S529945141ession > list_S529945141ession ) > list_l425507653ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_32,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_33,type,
insert1173886601ession: secrecy_Expression > list_S529945141ession > list_S529945141ession ).
thf(func_def_34,type,
insert_Secrecy_KS: secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_35,type,
last_S1532390982ession: list_S529945141ession > secrecy_Expression ).
thf(func_def_36,type,
last_Secrecy_KS: list_Secrecy_KS > secrecy_KS ).
thf(func_def_37,type,
cons_l533358079ession: list_S529945141ession > list_l425507653ession > list_l425507653ession ).
thf(func_def_38,type,
cons_list_Secrecy_KS: list_Secrecy_KS > list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_39,type,
cons_S112077679ession: secrecy_Expression > list_S529945141ession > list_S529945141ession ).
thf(func_def_40,type,
cons_Secrecy_KS: secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_41,type,
cons_Secrecy_Keys: secrecy_Keys > list_Secrecy_Keys > list_Secrecy_Keys ).
thf(func_def_42,type,
cons_Secrecy_Secrets: secrecy_Secrets > list_Secrecy_Secrets > list_Secrecy_Secrets ).
thf(func_def_43,type,
nil_li311616943ession: list_l425507653ession ).
thf(func_def_44,type,
nil_list_Secrecy_KS: list_list_Secrecy_KS ).
thf(func_def_45,type,
nil_Se901661471ession: list_S529945141ession ).
thf(func_def_46,type,
nil_Secrecy_KS: list_Secrecy_KS ).
thf(func_def_47,type,
nil_Secrecy_Keys: list_Secrecy_Keys ).
thf(func_def_48,type,
nil_Secrecy_Secrets: list_Secrecy_Secrets ).
thf(func_def_49,type,
hd_lis1623417098ession: list_l425507653ession > list_S529945141ession ).
thf(func_def_50,type,
hd_list_Secrecy_KS: list_list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_51,type,
hd_Sec357328890ession: list_S529945141ession > secrecy_Expression ).
thf(func_def_52,type,
hd_Secrecy_KS: list_Secrecy_KS > secrecy_KS ).
thf(func_def_53,type,
tl_Sec1905266422ession: list_S529945141ession > list_S529945141ession ).
thf(func_def_54,type,
tl_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_55,type,
list_e1486860828ession: ( secrecy_Expression > $o ) > list_S529945141ession > $o ).
thf(func_def_56,type,
list_ex1_Secrecy_KS: ( secrecy_KS > $o ) > list_Secrecy_KS > $o ).
thf(func_def_57,type,
listre84909707ession: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession > $o ).
thf(func_def_58,type,
listre565996059ecy_KS: ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession > list_Secrecy_KS > $o ).
thf(func_def_59,type,
listre1601064475ession: ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS > list_S529945141ession > $o ).
thf(func_def_60,type,
listre788412843ecy_KS: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > $o ).
thf(func_def_61,type,
map_ta1624757057ession: ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_62,type,
map_ta623472337ession: ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > list_S529945141ession ).
thf(func_def_63,type,
maps_S599402637ession: ( secrecy_Expression > list_S529945141ession ) > list_S529945141ession > list_S529945141ession ).
thf(func_def_64,type,
maps_S399472669ecy_KS: ( secrecy_Expression > list_Secrecy_KS ) > list_S529945141ession > list_Secrecy_KS ).
thf(func_def_65,type,
maps_S1434541085ession: ( secrecy_KS > list_S529945141ession ) > list_Secrecy_KS > list_S529945141ession ).
thf(func_def_66,type,
maps_S377605037ecy_KS: ( secrecy_KS > list_Secrecy_KS ) > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_67,type,
member2020590922ession: list_S529945141ession > secrecy_Expression > $o ).
thf(func_def_68,type,
member_Secrecy_KS: list_Secrecy_KS > secrecy_KS > $o ).
thf(func_def_69,type,
lexord1123423577ession: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession > $o ).
thf(func_def_70,type,
lexord948960489ecy_KS: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > $o ).
thf(func_def_71,type,
produc1450295286ession: list_l425507653ession > list_l425507653ession ).
thf(func_def_72,type,
produc713695622ecy_KS: list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_73,type,
remdup484344169ession: list_S529945141ession > list_S529945141ession ).
thf(func_def_74,type,
remdup351570169ecy_KS: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_75,type,
rev_Se1073238207ession: list_S529945141ession > list_S529945141ession ).
thf(func_def_76,type,
rev_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_77,type,
rotate1237234450ession: list_S529945141ession > list_S529945141ession ).
thf(func_def_78,type,
rotate1_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_79,type,
shuffl552897610ession: list_S529945141ession > list_S529945141ession > set_li185139947ession ).
thf(func_def_80,type,
shuffles_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS > set_list_Secrecy_KS ).
thf(func_def_81,type,
splice1390717708ession: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_82,type,
splice_Secrecy_KS: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_83,type,
subseq348280080ession: list_S529945141ession > list_l425507653ession ).
thf(func_def_84,type,
subseqs_Secrecy_KS: list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_85,type,
succes1388047762ession: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ).
thf(func_def_86,type,
succes590251810ecy_KS: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ).
thf(func_def_87,type,
decr: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_88,type,
enc: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_89,type,
encrDecrKeys: secrecy_Keys > secrecy_Keys > $o ).
thf(func_def_90,type,
ext: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_91,type,
sign: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_92,type,
eout: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_93,type,
ine: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_94,type,
notSpe1586871396tsExpr: secrecy_specID > list_S529945141ession > $o ).
thf(func_def_95,type,
specKeys: secrecy_specID > set_Secrecy_Keys ).
thf(func_def_96,type,
specKeysSecrets: secrecy_specID > set_Secrecy_KS ).
thf(func_def_97,type,
specSecrets: secrecy_specID > set_Secrecy_Secrets ).
thf(func_def_98,type,
secrec1371625429on2KSL: list_S529945141ession > list_Secrecy_KS ).
thf(func_def_99,type,
secrecy_kE: secrecy_Keys > secrecy_Expression ).
thf(func_def_100,type,
secrecy_sE: secrecy_Secrets > secrecy_Expression ).
thf(func_def_101,type,
secrec1016742679ession: secrecy_KS > secrecy_Expression ).
thf(func_def_102,type,
secrecy_kKS: secrecy_Keys > secrecy_KS ).
thf(func_def_103,type,
secrecy_sKS: secrecy_Secrets > secrecy_KS ).
thf(func_def_104,type,
collect_Secrecy_KS: ( secrecy_KS > $o ) > set_Secrecy_KS ).
thf(func_def_105,type,
collect_Secrecy_Keys: ( secrecy_Keys > $o ) > set_Secrecy_Keys ).
thf(func_def_106,type,
collec836099393ecrets: ( secrecy_Secrets > $o ) > set_Secrecy_Secrets ).
thf(func_def_107,type,
member249235532ession: list_S529945141ession > set_li185139947ession > $o ).
thf(func_def_108,type,
member193705948ecy_KS: list_Secrecy_KS > set_list_Secrecy_KS > $o ).
thf(func_def_109,type,
member341114536y_Keys: list_Secrecy_Keys > set_li849033543y_Keys > $o ).
thf(func_def_110,type,
member1138497285ecrets: list_Secrecy_Secrets > set_li2007071804ecrets > $o ).
thf(func_def_111,type,
member279582780ession: secrecy_Expression > set_Se1942955227ession > $o ).
thf(func_def_112,type,
member_Secrecy_KS2: secrecy_KS > set_Secrecy_KS > $o ).
thf(func_def_113,type,
member_Secrecy_Keys: secrecy_Keys > set_Secrecy_Keys > $o ).
thf(func_def_114,type,
member2138796287ecrets: secrecy_Secrets > set_Secrecy_Secrets > $o ).
thf(func_def_115,type,
a: secrecy_specID ).
thf(func_def_116,type,
m: secrecy_Secrets ).
thf(func_def_120,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_121,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_122,type,
vOR: $o > $o > $o ).
thf(func_def_123,type,
vAND: $o > $o > $o ).
thf(func_def_124,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_125,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_126,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_127,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_128,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_129,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_130,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_131,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_132,type,
vNOT: $o > $o ).
thf(func_def_133,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_134,type,
vIMP: $o > $o > $o ).
thf(func_def_135,type,
sP0: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > $o ).
thf(func_def_136,type,
sP1: list_S529945141ession > list_S529945141ession > list_S529945141ession > $o ).
thf(func_def_137,type,
sK2: list_S529945141ession > secrecy_Expression ).
thf(func_def_138,type,
sK3: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_139,type,
sK4: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_140,type,
sK5: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_141,type,
sK6: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_142,type,
sK7: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_143,type,
sK8: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_144,type,
sK9: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_145,type,
sK10: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_146,type,
sK11: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_147,type,
sK12: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_148,type,
sK13: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_149,type,
sK14: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_150,type,
sK15: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_151,type,
sK16: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_152,type,
sK17: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_153,type,
sK18: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_154,type,
sK19: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_155,type,
sK20: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_156,type,
sK21: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_157,type,
sK22: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_158,type,
sK23: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_159,type,
sK24: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_160,type,
sK25: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_161,type,
sK26: list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_162,type,
sK27: list_list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_163,type,
sK28: list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_164,type,
sK29: list_list_Secrecy_KS > secrecy_KS ).
thf(func_def_165,type,
sK30: list_Secrecy_KS > list_S529945141ession > ( secrecy_KS > secrecy_Expression ) > list_S529945141ession > list_Secrecy_KS ).
thf(func_def_166,type,
sK31: list_Secrecy_KS > list_S529945141ession > ( secrecy_KS > secrecy_Expression ) > list_S529945141ession > secrecy_KS ).
thf(func_def_167,type,
sK32: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_168,type,
sK33: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_169,type,
sK34: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_170,type,
sK35: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_171,type,
sK36: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_172,type,
sK37: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_173,type,
sK38: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_174,type,
sK39: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_175,type,
sK40: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_176,type,
sK41: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession ).
thf(func_def_177,type,
sK42: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_178,type,
sK43: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_179,type,
sK44: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_180,type,
sK45: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_181,type,
sK46: list_Secrecy_KS > secrecy_KS ).
thf(func_def_182,type,
sK47: list_Secrecy_KS > secrecy_KS ).
thf(func_def_183,type,
sK48: list_Secrecy_KS > secrecy_KS ).
thf(func_def_184,type,
sK49: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_185,type,
sK50: list_S529945141ession > ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_186,type,
sK51: list_S529945141ession > ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_187,type,
sK52: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_188,type,
sK53: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_189,type,
sK54: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_190,type,
sK55: ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_191,type,
sK56: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_192,type,
sK57: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_193,type,
sK58: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_194,type,
sK59: list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_195,type,
sK60: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_196,type,
sK61: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_197,type,
sK62: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_198,type,
sK63: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_199,type,
sK64: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_200,type,
sK65: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_201,type,
sK66: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_202,type,
sK67: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_203,type,
sK68: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_204,type,
sK69: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_205,type,
sK70: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_206,type,
sK71: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_207,type,
sK72: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_208,type,
sK73: ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_209,type,
sK74: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_210,type,
sK75: list_Secrecy_KS > secrecy_KS ).
thf(func_def_211,type,
sK76: list_Secrecy_KS > secrecy_KS ).
thf(func_def_212,type,
sK77: list_S529945141ession > secrecy_Expression > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_213,type,
sK78: list_S529945141ession > secrecy_Expression ).
thf(func_def_214,type,
sK79: list_S529945141ession > list_S529945141ession ).
thf(func_def_215,type,
sK80: list_S529945141ession > secrecy_Expression ).
thf(func_def_216,type,
sK81: $o > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > secrecy_Expression ).
thf(func_def_217,type,
sK82: $o > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > secrecy_Expression ).
thf(func_def_218,type,
sK83: $o > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > list_S529945141ession ).
thf(func_def_219,type,
sK84: list_l425507653ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_220,type,
sK85: list_l425507653ession > list_S529945141ession > list_S529945141ession > list_l425507653ession ).
thf(func_def_221,type,
sK86: list_l425507653ession > list_S529945141ession > list_S529945141ession > list_l425507653ession ).
thf(func_def_222,type,
sK87: list_l425507653ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_223,type,
sK88: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_224,type,
sK89: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_225,type,
sK90: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_226,type,
sK91: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_227,type,
sK92: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_228,type,
sK93: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_229,type,
sK94: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_230,type,
sK95: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_231,type,
sK96: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_232,type,
sK97: list_Secrecy_KS > secrecy_KS ).
thf(func_def_233,type,
sK98: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > secrecy_KS ).
thf(func_def_234,type,
sK99: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > secrecy_KS ).
thf(func_def_235,type,
sK100: ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_236,type,
sK101: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression > $o ).
thf(func_def_237,type,
sK102: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression > $o ).
thf(func_def_238,type,
sK103: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_239,type,
sK104: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_240,type,
sK105: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_241,type,
sK106: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_242,type,
sK107: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_243,type,
sK108: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_244,type,
sK109: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_245,type,
sK110: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_246,type,
sK111: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_247,type,
sK112: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_248,type,
sK113: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_249,type,
sK114: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_250,type,
sK115: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_251,type,
sK116: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_252,type,
sK117: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_253,type,
sK118: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_254,type,
sK119: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_255,type,
sK120: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_256,type,
sK121: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_257,type,
sK122: ( list_S529945141ession > list_S529945141ession > $o ) > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_258,type,
sK123: ( list_S529945141ession > list_S529945141ession > $o ) > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession ).
thf(func_def_259,type,
sK124: ( list_S529945141ession > list_S529945141ession > $o ) > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_260,type,
sK125: ( list_S529945141ession > list_S529945141ession > $o ) > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession ).
thf(func_def_261,type,
sK126: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_262,type,
sK127: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_263,type,
sK128: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_264,type,
sK129: ( secrecy_Expression > secrecy_KS > $o ) > ( list_S529945141ession > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_265,type,
sK130: ( secrecy_Expression > secrecy_KS > $o ) > ( list_S529945141ession > list_Secrecy_KS > $o ) > secrecy_Expression ).
thf(func_def_266,type,
sK131: ( secrecy_Expression > secrecy_KS > $o ) > ( list_S529945141ession > list_Secrecy_KS > $o ) > list_S529945141ession ).
thf(func_def_267,type,
sK132: ( secrecy_Expression > secrecy_KS > $o ) > ( list_S529945141ession > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_268,type,
sK133: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_269,type,
sK134: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_270,type,
sK135: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_271,type,
sK136: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_272,type,
sK137: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_273,type,
sK138: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_274,type,
sK139: ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_275,type,
sK140: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_276,type,
sK141: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_277,type,
sK142: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_278,type,
sK143: ( secrecy_KS > secrecy_KS > $o ) > ( list_Secrecy_KS > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_279,type,
sK144: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_KS > secrecy_Expression ).
thf(func_def_280,type,
sK145: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > list_Secrecy_KS ).
thf(func_def_281,type,
sK146: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_282,type,
sK147: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_KS ).
thf(func_def_283,type,
sK148: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_KS > secrecy_Expression ).
thf(func_def_284,type,
sK149: ( ( secrecy_KS > secrecy_Expression ) > list_Secrecy_KS > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_285,type,
sK150: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_286,type,
sK151: list_Secrecy_KS > secrecy_KS ).
thf(func_def_287,type,
sK152: list_S529945141ession > ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS > secrecy_KS ).
thf(func_def_288,type,
sK153: list_S529945141ession > ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS > secrecy_Expression ).
thf(func_def_289,type,
sK154: list_S529945141ession > ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_290,type,
sK155: list_S529945141ession > ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS > list_S529945141ession ).
thf(func_def_291,type,
sK156: list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_292,type,
sK157: list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_293,type,
sK158: list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_294,type,
sK159: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_295,type,
sK160: list_S529945141ession > secrecy_Expression ).
thf(func_def_296,type,
sK161: list_S529945141ession > list_S529945141ession ).
thf(func_def_297,type,
sK162: secrecy_specID > secrecy_Expression > secrecy_Secrets ).
thf(func_def_298,type,
sK163: secrecy_specID > secrecy_Expression > secrecy_Keys ).
thf(func_def_299,type,
sK164: list_Secrecy_KS > secrecy_KS ).
thf(func_def_300,type,
sK165: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > secrecy_KS ).
thf(func_def_301,type,
sK166: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_302,type,
sK167: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > secrecy_KS ).
thf(func_def_303,type,
sK168: list_Secrecy_KS > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_304,type,
sK169: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_305,type,
sK170: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_306,type,
sK171: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_307,type,
sK172: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression ).
thf(func_def_308,type,
sK173: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_309,type,
sK174: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_310,type,
sK175: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_311,type,
sK176: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression ).
thf(func_def_312,type,
sK177: ( ( secrecy_Expression > secrecy_Expression ) > list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_313,type,
sK178: list_S529945141ession > secrecy_Expression ).
thf(func_def_314,type,
sK179: list_S529945141ession > list_S529945141ession ).
thf(func_def_315,type,
sK180: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_316,type,
sK181: list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_317,type,
sK182: list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_318,type,
sK183: list_Secrecy_KS > list_Secrecy_KS > secrecy_KS ).
thf(func_def_319,type,
sK184: list_Secrecy_KS > $o > ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_320,type,
sK185: list_Secrecy_KS > $o > ( secrecy_KS > secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_321,type,
sK186: list_Secrecy_KS > $o > ( secrecy_KS > secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_322,type,
sK187: list_Secrecy_KS > secrecy_KS ).
thf(func_def_323,type,
sK188: ( list_Secrecy_KS > list_S529945141ession > $o ) > ( secrecy_KS > secrecy_Expression > $o ) > list_S529945141ession ).
thf(func_def_324,type,
sK189: ( list_Secrecy_KS > list_S529945141ession > $o ) > ( secrecy_KS > secrecy_Expression > $o ) > secrecy_KS ).
thf(func_def_325,type,
sK190: ( list_Secrecy_KS > list_S529945141ession > $o ) > ( secrecy_KS > secrecy_Expression > $o ) > list_Secrecy_KS ).
thf(func_def_326,type,
sK191: ( list_Secrecy_KS > list_S529945141ession > $o ) > ( secrecy_KS > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_327,type,
sK192: list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_328,type,
sK193: list_Secrecy_KS > secrecy_KS ).
thf(func_def_329,type,
sK194: list_Secrecy_KS > ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession > secrecy_Expression ).
thf(func_def_330,type,
sK195: list_Secrecy_KS > ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession > list_S529945141ession ).
thf(func_def_331,type,
sK196: list_Secrecy_KS > ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession > secrecy_KS ).
thf(func_def_332,type,
sK197: list_Secrecy_KS > ( secrecy_Expression > secrecy_KS > $o ) > list_S529945141ession > list_Secrecy_KS ).
thf(func_def_333,type,
sK198: list_S529945141ession > secrecy_Expression ).
thf(func_def_334,type,
sK199: list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression > list_S529945141ession ).
thf(func_def_335,type,
sK200: list_Secrecy_KS > list_Secrecy_KS > list_list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_336,type,
sK201: list_Secrecy_KS > list_Secrecy_KS > list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_337,type,
sK202: list_Secrecy_KS > list_Secrecy_KS > list_list_Secrecy_KS > list_list_Secrecy_KS ).
thf(func_def_338,type,
sK203: list_Secrecy_KS > list_Secrecy_KS > list_list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_339,type,
sK204: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_340,type,
sK205: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_341,type,
sK206: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession ).
thf(func_def_342,type,
sK207: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession ).
thf(func_def_343,type,
sK208: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_344,type,
sK209: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_345,type,
sK210: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession ).
thf(func_def_346,type,
sK211: list_S529945141ession > list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession ).
thf(func_def_347,type,
sK212: list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_348,type,
sK213: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_349,type,
sK214: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_350,type,
sK215: list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_351,type,
sK216: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_352,type,
sK217: list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_353,type,
sK218: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_354,type,
sK219: list_S529945141ession > list_S529945141ession > list_S529945141ession > secrecy_Expression ).
thf(func_def_355,type,
sK220: list_S529945141ession > secrecy_Expression ).
thf(func_def_356,type,
sK221: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession ).
thf(func_def_357,type,
sK222: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_358,type,
sK223: list_S529945141ession > ( secrecy_Expression > secrecy_Expression > $o ) > secrecy_Expression ).
thf(func_def_359,type,
sK224: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_360,type,
sK225: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_361,type,
sK226: list_Secrecy_KS > secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_362,type,
sK227: ( list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_KS ).
thf(func_def_363,type,
sK228: ( list_Secrecy_KS > list_S529945141ession > $o ) > list_Secrecy_KS ).
thf(func_def_364,type,
sK229: ( list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_KS ).
thf(func_def_365,type,
sK230: ( list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_366,type,
sK231: ( list_Secrecy_KS > list_S529945141ession > $o ) > list_Secrecy_KS ).
thf(func_def_367,type,
sK232: ( list_Secrecy_KS > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_368,type,
sK233: ( list_Secrecy_KS > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_369,type,
sK234: ( list_Secrecy_KS > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_370,type,
sK235: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS > secrecy_KS > $o ).
thf(func_def_371,type,
sK236: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_372,type,
sK237: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_373,type,
sK238: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_374,type,
sK239: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_375,type,
sK240: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS > secrecy_KS > $o ).
thf(func_def_376,type,
sK241: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS > secrecy_KS > $o ).
thf(func_def_377,type,
sK242: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_378,type,
sK243: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_379,type,
sK244: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_380,type,
sK245: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_381,type,
sK246: ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_382,type,
sK247: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_383,type,
sK248: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_384,type,
sK249: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_385,type,
sK250: ( secrecy_Expression > secrecy_Expression > $o ) > ( list_S529945141ession > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_386,type,
sK251: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_387,type,
sK252: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_388,type,
sK253: list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_389,type,
sK254: list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession > list_S529945141ession ).
thf(func_def_390,type,
sK255: list_S529945141ession > list_S529945141ession > list_l425507653ession > list_S529945141ession ).
thf(func_def_391,type,
sK256: list_S529945141ession > list_S529945141ession > list_l425507653ession > list_l425507653ession ).
thf(func_def_392,type,
sK257: list_S529945141ession > list_S529945141ession > list_l425507653ession > list_l425507653ession ).
thf(func_def_393,type,
sK258: list_S529945141ession > list_S529945141ession > list_l425507653ession > list_S529945141ession ).
thf(func_def_394,type,
sK259: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_395,type,
sK260: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_396,type,
sK261: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS > secrecy_KS > $o ).
thf(func_def_397,type,
sK262: ( ( secrecy_KS > secrecy_KS > $o ) > list_Secrecy_KS > $o ) > secrecy_KS > secrecy_KS > $o ).
thf(func_def_398,type,
sK263: secrecy_KS > secrecy_Keys ).
thf(func_def_399,type,
sK264: secrecy_KS > secrecy_Secrets ).
thf(func_def_400,type,
sK265: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_401,type,
sK266: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_402,type,
sK267: list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_403,type,
sK268: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_404,type,
sK269: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_405,type,
sK270: ( list_S529945141ession > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_406,type,
sK271: ( list_S529945141ession > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_407,type,
sK272: ( list_S529945141ession > list_Secrecy_KS > $o ) > list_S529945141ession ).
thf(func_def_408,type,
sK273: ( list_S529945141ession > list_Secrecy_KS > $o ) > secrecy_Expression ).
thf(func_def_409,type,
sK274: ( list_S529945141ession > list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_410,type,
sK275: ( list_S529945141ession > list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_411,type,
sK276: ( list_S529945141ession > list_Secrecy_KS > $o ) > secrecy_Expression ).
thf(func_def_412,type,
sK277: ( list_S529945141ession > list_Secrecy_KS > $o ) > list_S529945141ession ).
thf(func_def_413,type,
sK278: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_414,type,
sK279: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_415,type,
sK280: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_416,type,
sK281: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_417,type,
sK282: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression > $o ).
thf(func_def_418,type,
sK283: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_419,type,
sK284: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression > $o ).
thf(func_def_420,type,
sK285: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_421,type,
sK286: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_422,type,
sK287: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_423,type,
sK288: ( ( secrecy_Expression > secrecy_Expression > $o ) > list_S529945141ession > $o ) > secrecy_Expression > secrecy_Expression > $o ).
thf(func_def_424,type,
sK289: list_Secrecy_KS > secrecy_KS > list_Secrecy_KS > list_Secrecy_KS > list_Secrecy_KS ).
thf(func_def_425,type,
sK290: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_426,type,
sK291: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_427,type,
sK292: ( list_Secrecy_KS > $o ) > list_Secrecy_KS ).
thf(func_def_428,type,
sK293: ( list_Secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_429,type,
sK294: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_430,type,
sK295: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_431,type,
sK296: ( list_S529945141ession > $o ) > secrecy_Expression ).
thf(func_def_432,type,
sK297: ( list_S529945141ession > $o ) > list_S529945141ession ).
thf(func_def_433,type,
sK298: list_l425507653ession > list_l425507653ession ).
thf(func_def_434,type,
sK299: list_l425507653ession > list_l425507653ession ).
thf(func_def_435,type,
sK300: list_l425507653ession > list_S529945141ession ).
thf(func_def_436,type,
sK301: list_l425507653ession > secrecy_Expression ).
thf(func_def_437,type,
sK302: ( secrecy_KS > $o ) > secrecy_Keys ).
thf(func_def_438,type,
sK303: ( secrecy_KS > $o ) > secrecy_Secrets ).
thf(func_def_439,type,
sK304: list_S529945141ession > secrecy_Expression ).
thf(func_def_440,type,
sK305: list_S529945141ession > list_S529945141ession ).
thf(func_def_441,type,
sK306: list_S529945141ession > secrecy_Expression ).
thf(func_def_442,type,
sK307: list_S529945141ession > secrecy_Expression ).
thf(func_def_444,type,
inv_secrecy_sE_309: secrecy_Expression > secrecy_Secrets ).
thf(func_def_445,type,
inv_secrecy_sKS_310: secrecy_KS > secrecy_Secrets ).
thf(f1,axiom,
knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms) ).
thf(f4,axiom,
! [X1: secrecy_Secrets,X0: secrecy_specID] :
( ( knowle731562421_knows @ X0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X1 ) ) @ nil_Se901661471ession ) )
= ( knowle945212990e_know @ X0 @ ( secrecy_sKS @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_know1s) ).
thf(f8,axiom,
! [X0: secrecy_Secrets] :
( ( secrec1016742679ession @ ( secrecy_sKS @ X0 ) )
= ( secrecy_sE @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_KS2Expression_Osimps_I2_J) ).
thf(f353,conjecture,
knowle945212990e_know @ a @ ( secrecy_sKS @ m ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f354,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) ),
inference(negated_conjecture,[status(cth)],[f353]) ).
thf(f623,plain,
~ ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) ),
inference(rectify,[],[f354]) ).
thf(f624,plain,
( ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) )
!= $true ),
inference(fool_elimination,[],[f623]) ).
thf(f656,plain,
knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ),
inference(rectify,[],[f1]) ).
thf(f657,plain,
( ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ) )
= $true ),
inference(fool_elimination,[],[f656]) ).
thf(f762,plain,
! [X1: secrecy_specID,X0: secrecy_Secrets] :
( ( knowle731562421_knows @ X1 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X0 ) ) @ nil_Se901661471ession ) )
= ( knowle945212990e_know @ X1 @ ( secrecy_sKS @ X0 ) ) ),
inference(rectify,[],[f4]) ).
thf(f795,plain,
( ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) )
!= $true ),
inference(flattening,[],[f624]) ).
thf(f1393,plain,
! [X0: secrecy_specID,X1: secrecy_Secrets] :
( ( knowle945212990e_know @ X0 @ ( secrecy_sKS @ X1 ) )
= ( knowle731562421_knows @ X0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X1 ) ) @ nil_Se901661471ession ) ) ),
inference(rectify,[],[f762]) ).
thf(f2159,plain,
! [X0: secrecy_specID,X1: secrecy_Secrets] :
( ( knowle945212990e_know @ X0 @ ( secrecy_sKS @ X1 ) )
= ( knowle731562421_knows @ X0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X1 ) ) @ nil_Se901661471ession ) ) ),
inference(cnf_transformation,[],[f1393]) ).
thf(f2226,plain,
( ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ) )
= $true ),
inference(cnf_transformation,[],[f657]) ).
thf(f2257,plain,
( ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) )
!= $true ),
inference(cnf_transformation,[],[f795]) ).
thf(f2259,plain,
! [X0: secrecy_Secrets] :
( ( secrec1016742679ession @ ( secrecy_sKS @ X0 ) )
= ( secrecy_sE @ X0 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f2554,plain,
! [X0: secrecy_specID,X1: secrecy_Secrets] :
( ( ( knowle731562421_knows @ X0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X1 ) ) @ nil_Se901661471ession ) )
= $false )
| ( ( knowle945212990e_know @ X0 @ ( secrecy_sKS @ X1 ) )
= $true ) ),
inference(iff_proxy_clausification,[],[f2159]) ).
thf(f2664,definition,
( spl308_22
<=> ( ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl308_22])],[avatar_definition]) ).
thf(f2666,plain,
( ( ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ) )
= $true )
| ~ spl308_22 ),
inference(avatar_component_clause,[],[f2664]) ).
thf(f2667,plain,
spl308_22,
inference(avatar_split_clause,[],[f2226,f2664]) ).
thf(f2763,definition,
( spl308_42
<=> ( ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl308_42])],[avatar_definition]) ).
thf(f2765,plain,
( ( ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) )
!= $true )
| spl308_42 ),
inference(avatar_component_clause,[],[f2763]) ).
thf(f2766,plain,
~ spl308_42,
inference(avatar_split_clause,[],[f2257,f2763]) ).
thf(f2788,plain,
( ( $true
= ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ m ) ) @ nil_Se901661471ession ) ) )
| ~ spl308_22 ),
inference(superposition,[],[f2666,f2259]) ).
thf(f2790,definition,
( spl308_46
<=> ( $true
= ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ m ) ) @ nil_Se901661471ession ) ) ) ),
introduced(definition,[new_symbols(definition,[spl308_46])],[avatar_definition]) ).
thf(f2792,plain,
( ( $true
= ( knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ m ) ) @ nil_Se901661471ession ) ) )
| ~ spl308_46 ),
inference(avatar_component_clause,[],[f2790]) ).
thf(f2793,plain,
( spl308_46
| ~ spl308_22 ),
inference(avatar_split_clause,[],[f2788,f2664,f2790]) ).
thf(f2951,plain,
( ( ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) )
= $true )
| ( $true = $false )
| ~ spl308_46 ),
inference(superposition,[],[f2554,f2792]) ).
thf(f2958,plain,
( ( ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) )
= $true )
| ~ spl308_46 ),
inference(trivial_inequality_removal,[],[f2951]) ).
thf(f2963,plain,
( $false
| spl308_42
| ~ spl308_46 ),
inference(forward_subsumption_resolution,[],[f2958,f2765]) ).
thf(f2964,plain,
( spl308_42
| ~ spl308_46 ),
inference(avatar_contradiction_clause,[],[f2963]) ).
cnf(s27,plain,
spl308_22,
inference(sat_conversion,[],[f2667]) ).
cnf(s53,plain,
~ spl308_42,
inference(sat_conversion,[],[f2766]) ).
cnf(s60,plain,
( ~ spl308_22
| spl308_46 ),
inference(sat_conversion,[],[f2793]) ).
cnf(s68,plain,
( spl308_42
| ~ spl308_46 ),
inference(sat_conversion,[],[f2964]) ).
cnf(s69,plain,
~ spl308_46,
inference(rat,[],[s68,s53]) ).
cnf(s71,plain,
~ spl308_22,
inference(rat,[],[s60,s69]) ).
cnf(s73,plain,
$false,
inference(rat,[],[s27,s71]) ).
thf(f2965,plain,
$false,
inference(avatar_sat_refutation,[],[s73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP085^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:48:11 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.21/0.28 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
% 0.42/0.45 % (3837797)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.42/0.45 % (3837804)lrs+10_16_si=on:nwc=1.5:random_seed=2058101960:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.42/0.45 % (3837804)Instruction limit reached!
% 0.42/0.45 % (3837804)------------------------------
% 0.42/0.45 % (3837804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (3837804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (3837804)CaDiCaL version: 2.1.3
% 0.42/0.45 % (3837804)Termination reason: Instruction limit
% 0.42/0.45 % (3837804)Termination phase: shuffling
% 0.42/0.45 % (3837804)Time elapsed: 0.005 s
% 0.42/0.45 % (3837804)Peak memory usage: 10 MB
% 0.42/0.45 % (3837804)Instructions burned: 20 (million)
% 0.42/0.45 % (3837803)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4005284215:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.42/0.45 % (3837811)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3685968142:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.42/0.45 % (3837811)Instruction limit reached!
% 0.42/0.45 % (3837811)------------------------------
% 0.42/0.45 % (3837811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (3837811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (3837811)CaDiCaL version: 2.1.3
% 0.42/0.45 % (3837811)Termination reason: Instruction limit
% 0.42/0.45 % (3837811)Termination phase: shuffling
% 0.42/0.45 % (3837811)Time elapsed: 0.001 s
% 0.42/0.45 % (3837811)Peak memory usage: 10 MB
% 0.42/0.45 % (3837811)Instructions burned: 4 (million)
% 0.42/0.45 % (3837805)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3247285892:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.42/0.45 % (3837808)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2896486648:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.42/0.45 % (3837805)Instruction limit reached!
% 0.42/0.45 % (3837805)------------------------------
% 0.42/0.45 % (3837805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (3837805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (3837805)CaDiCaL version: 2.1.3
% 0.42/0.45 % (3837805)Termination reason: Instruction limit
% 0.42/0.45 % (3837805)Termination phase: shuffling
% 0.42/0.45 % (3837805)Time elapsed: 0.002 s
% 0.42/0.45 % (3837805)Peak memory usage: 10 MB
% 0.42/0.45 % (3837805)Instructions burned: 3 (million)
% 0.42/0.45 % (3837814)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4001475071:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.42/0.45 % (3837814)Instruction limit reached!
% 0.42/0.45 % (3837814)------------------------------
% 0.42/0.45 % (3837814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (3837814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (3837814)CaDiCaL version: 2.1.3
% 0.42/0.45 % (3837814)Termination reason: Instruction limit
% 0.42/0.45 % (3837814)Termination phase: shuffling
% 0.42/0.45 % (3837814)Time elapsed: 0.002 s
% 0.42/0.45 % (3837814)Peak memory usage: 10 MB
% 0.42/0.45 % (3837814)Instructions burned: 8 (million)
% 0.42/0.45 % (3837809)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.42/0.45 % (3837809)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
% 0.42/0.45 % (3837819)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=837034281:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.42/0.45 % (3837817)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.42/0.45 % (3837807)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=270098857:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.42/0.45 % (3837819)Instruction limit reached!
% 0.42/0.45 % (3837819)------------------------------
% 0.42/0.45 % (3837819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (3837819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.50 % (3837819)CaDiCaL version: 2.1.3
% 1.03/0.50 % (3837819)Termination reason: Instruction limit
% 1.03/0.50 % (3837819)Termination phase: shuffling
% 1.03/0.50 % (3837819)Time elapsed: 0.004 s
% 1.03/0.50 % (3837819)Peak memory usage: 10 MB
% 1.03/0.50 % (3837819)Instructions burned: 17 (million)
% 1.03/0.50 % (3837817)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2376109159:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.03/0.50 % (3837806)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=2109431471: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)
% 1.03/0.50 % (3837803)Instruction limit reached!
% 1.03/0.50 % (3837803)------------------------------
% 1.03/0.50 % (3837803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.50 % (3837803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.50 % (3837803)CaDiCaL version: 2.1.3
% 1.03/0.50 % (3837803)Termination reason: Instruction limit
% 1.03/0.50 % (3837803)Termination phase: Property scanning
% 1.03/0.50 % (3837803)Time elapsed: 0.042 s
% 1.03/0.50 % (3837803)Peak memory usage: 12 MB
% 1.03/0.50 % (3837803)Instructions burned: 87 (million)
% 1.03/0.50 % (3837809)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=1508972991:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.03/0.50 % (3837817)Instruction limit reached!
% 1.03/0.50 % (3837817)------------------------------
% 1.03/0.50 % (3837817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.50 % (3837817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.50 % (3837817)CaDiCaL version: 2.1.3
% 1.03/0.50 % (3837817)Termination reason: Instruction limit
% 1.03/0.50 % (3837817)Termination phase: shuffling
% 1.03/0.50 % (3837817)Time elapsed: 0.004 s
% 1.03/0.50 % (3837817)Peak memory usage: 10 MB
% 1.03/0.50 % (3837817)Instructions burned: 8 (million)
% 1.03/0.50 % (3837824)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
% 1.03/0.50 % (3837824)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.03/0.50 % (3837824)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=971843165:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.03/0.50 % (3837824)Instruction limit reached!
% 1.03/0.50 % (3837824)------------------------------
% 1.03/0.50 % (3837824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.50 % (3837824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.50 % (3837824)CaDiCaL version: 2.1.3
% 1.03/0.50 % (3837824)Termination reason: Instruction limit
% 1.03/0.50 % (3837824)Termination phase: shuffling
% 1.03/0.50 % (3837824)Time elapsed: 0.007 s
% 1.03/0.50 % (3837824)Peak memory usage: 11 MB
% 1.03/0.50 % (3837824)Instructions burned: 30 (million)
% 1.03/0.50 % (3837825)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=2676274612:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.03/0.50 % (3837827)lrs+10_1_si=on:cs=on:random_seed=773658805:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.03/0.50 % (3837829)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.03/0.50 % (3837827)Instruction limit reached!
% 1.03/0.50 % (3837827)------------------------------
% 1.03/0.50 % (3837827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.50 % (3837827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.50 % (3837827)CaDiCaL version: 2.1.3
% 1.03/0.50 % (3837827)Termination reason: Instruction limit
% 1.03/0.50 % (3837827)Termination phase: shuffling
% 1.03/0.53 % (3837827)Time elapsed: 0.005 s
% 1.03/0.53 % (3837827)Peak memory usage: 10 MB
% 1.03/0.53 % (3837827)Instructions burned: 10 (million)
% 1.03/0.53 % (3837829)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=1465852765:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.03/0.53 % (3837829)Instruction limit reached!
% 1.03/0.53 % (3837829)------------------------------
% 1.03/0.53 % (3837829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.53 % (3837829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.53 % (3837829)CaDiCaL version: 2.1.3
% 1.03/0.53 % (3837829)Termination reason: Instruction limit
% 1.03/0.53 % (3837829)Termination phase: shuffling
% 1.03/0.53 % (3837829)Time elapsed: 0.001 s
% 1.03/0.53 % (3837829)Peak memory usage: 10 MB
% 1.03/0.53 % (3837829)Instructions burned: 3 (million)
% 1.03/0.53 % (3837807)Instruction limit reached!
% 1.03/0.53 % (3837807)------------------------------
% 1.03/0.53 % (3837807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.53 % (3837807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.53 % (3837807)CaDiCaL version: 2.1.3
% 1.03/0.53 % (3837807)Termination reason: Instruction limit
% 1.03/0.53 % (3837807)Termination phase: Property scanning
% 1.03/0.53 % (3837807)Time elapsed: 0.033 s
% 1.03/0.53 % (3837807)Peak memory usage: 11 MB
% 1.03/0.53 % (3837807)Instructions burned: 24 (million)
% 1.03/0.53 % (3837834)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1324647774:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.03/0.53 % (3837808)Instruction limit reached!
% 1.03/0.53 % (3837808)------------------------------
% 1.03/0.53 % (3837808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.53 % (3837808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.53 % (3837808)CaDiCaL version: 2.1.3
% 1.03/0.53 % (3837808)Termination reason: Instruction limit
% 1.03/0.53 % (3837808)Termination phase: Property scanning
% 1.03/0.53 % (3837808)Time elapsed: 0.066 s
% 1.03/0.53 % (3837808)Peak memory usage: 12 MB
% 1.03/0.53 % (3837808)Instructions burned: 76 (million)
% 1.03/0.53 % (3837833)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2712139440:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.03/0.53 % (3837835)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=320492726:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.03/0.53 % (3837825)Instruction limit reached!
% 1.03/0.53 % (3837825)------------------------------
% 1.03/0.53 % (3837825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.53 % (3837825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.53 % (3837825)CaDiCaL version: 2.1.3
% 1.03/0.53 % (3837825)Termination reason: Instruction limit
% 1.03/0.53 % (3837825)Termination phase: Property scanning
% 1.03/0.53 % (3837825)Time elapsed: 0.038 s
% 1.03/0.53 % (3837825)Peak memory usage: 11 MB
% 1.03/0.53 % (3837825)Instructions burned: 87 (million)
% 1.03/0.53 % (3837834)Refutation not found, incomplete strategy
% 1.03/0.53 % (3837834)------------------------------
% 1.03/0.53 % (3837834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.53 % (3837834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.53 % (3837834)CaDiCaL version: 2.1.3
% 1.03/0.53 % (3837834)Termination reason: Refutation not found, incomplete strategy
% 1.03/0.53 % (3837834)Time elapsed: 0.019 s
% 1.03/0.53 % (3837834)Peak memory usage: 13 MB
% 1.03/0.53 % (3837834)Instructions burned: 77 (million)
% 1.03/0.53 % (3837834)------------------------------
% 1.03/0.53 % (3837834)------------------------------
% 1.03/0.53 % (3837835)Instruction limit reached!
% 1.03/0.53 % (3837835)------------------------------
% 1.03/0.53 % (3837835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.53 % (3837835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.53 % (3837835)CaDiCaL version: 2.1.3
% 1.03/0.53 % (3837835)Termination reason: Instruction limit
% 1.03/0.53 % (3837835)Termination phase: Property scanning
% 1.03/0.53 % (3837835)Time elapsed: 0.015 s
% 1.03/0.53 % (3837835)Peak memory usage: 11 MB
% 1.03/0.53 % (3837835)Instructions burned: 26 (million)
% 1.03/0.57 % (3837841)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4291722467:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.03/0.57 % (3837840)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1954315825:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.03/0.57 % (3837833)Instruction limit reached!
% 1.03/0.57 % (3837833)------------------------------
% 1.03/0.57 % (3837833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837833)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837833)Termination reason: Instruction limit
% 1.03/0.57 % (3837833)Termination phase: SInE selection
% 1.03/0.57 % (3837833)Time elapsed: 0.036 s
% 1.03/0.57 % (3837833)Peak memory usage: 11 MB
% 1.03/0.57 % (3837833)Instructions burned: 38 (million)
% 1.03/0.57 % (3837841)Instruction limit reached!
% 1.03/0.57 % (3837841)------------------------------
% 1.03/0.57 % (3837841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837841)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837841)Termination reason: Instruction limit
% 1.03/0.57 % (3837841)Termination phase: shuffling
% 1.03/0.57 % (3837841)Time elapsed: 0.005 s
% 1.03/0.57 % (3837841)Peak memory usage: 10 MB
% 1.03/0.57 % (3837841)Instructions burned: 19 (million)
% 1.03/0.57 % (3837837)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3691864000:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.03/0.57 % (3837837)Instruction limit reached!
% 1.03/0.57 % (3837837)------------------------------
% 1.03/0.57 % (3837837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837837)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837837)Termination reason: Instruction limit
% 1.03/0.57 % (3837837)Termination phase: shuffling
% 1.03/0.57 % (3837837)Time elapsed: 0.007 s
% 1.03/0.57 % (3837837)Peak memory usage: 10 MB
% 1.03/0.57 % (3837837)Instructions burned: 14 (million)
% 1.03/0.57 % (3837845)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3242942823:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.03/0.57 % (3837842)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2924537772: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)
% 1.03/0.57 % (3837842)Instruction limit reached!
% 1.03/0.57 % (3837842)------------------------------
% 1.03/0.57 % (3837842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837842)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837842)Termination reason: Instruction limit
% 1.03/0.57 % (3837842)Termination phase: shuffling
% 1.03/0.57 % (3837842)Time elapsed: 0.002 s
% 1.03/0.57 % (3837842)Peak memory usage: 10 MB
% 1.03/0.57 % (3837842)Instructions burned: 2 (million)
% 1.03/0.57 % (3837845)Instruction limit reached!
% 1.03/0.57 % (3837845)------------------------------
% 1.03/0.57 % (3837845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837845)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837845)Termination reason: Instruction limit
% 1.03/0.57 % (3837845)Termination phase: shuffling
% 1.03/0.57 % (3837845)Time elapsed: 0.009 s
% 1.03/0.57 % (3837845)Peak memory usage: 11 MB
% 1.03/0.57 % (3837845)Instructions burned: 37 (million)
% 1.03/0.57 % (3837847)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3191138089:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.03/0.57 % (3837848)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3876701305:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.03/0.57 % (3837852)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.03/0.57 % (3837852)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2049155054:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.03/0.57 % (3837851)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.03/0.57 % (3837851)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.03/0.57 % (3837852)Instruction limit reached!
% 1.03/0.57 % (3837852)------------------------------
% 1.03/0.57 % (3837852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837852)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837852)Termination reason: Instruction limit
% 1.03/0.57 % (3837852)Termination phase: shuffling
% 1.03/0.57 % (3837852)Time elapsed: 0.003 s
% 1.03/0.57 % (3837852)Peak memory usage: 10 MB
% 1.03/0.57 % (3837852)Instructions burned: 10 (million)
% 1.03/0.57 % (3837851)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1978746950:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.03/0.57 % (3837847)Instruction limit reached!
% 1.03/0.57 % (3837847)------------------------------
% 1.03/0.57 % (3837847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837847)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837847)Termination reason: Instruction limit
% 1.03/0.57 % (3837847)Termination phase: Property scanning
% 1.03/0.57 % (3837847)Time elapsed: 0.011 s
% 1.03/0.57 % (3837847)Peak memory usage: 11 MB
% 1.03/0.57 % (3837847)Instructions burned: 24 (million)
% 1.03/0.57 % (3837851)Instruction limit reached!
% 1.03/0.57 % (3837851)------------------------------
% 1.03/0.57 % (3837851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837851)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837851)Termination reason: Instruction limit
% 1.03/0.57 % (3837851)Termination phase: shuffling
% 1.03/0.57 % (3837851)Time elapsed: 0.007 s
% 1.03/0.57 % (3837851)Peak memory usage: 10 MB
% 1.03/0.57 % (3837851)Instructions burned: 14 (million)
% 1.03/0.57 % (3837856)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=768071387:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.03/0.57 % (3837856)Instruction limit reached!
% 1.03/0.57 % (3837856)------------------------------
% 1.03/0.57 % (3837856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837856)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837856)Termination reason: Instruction limit
% 1.03/0.57 % (3837856)Termination phase: shuffling
% 1.03/0.57 % (3837856)Time elapsed: 0.008 s
% 1.03/0.57 % (3837856)Peak memory usage: 11 MB
% 1.03/0.57 % (3837856)Instructions burned: 34 (million)
% 1.03/0.57 % (3837848)Instruction limit reached!
% 1.03/0.57 % (3837848)------------------------------
% 1.03/0.57 % (3837848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837848)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837848)Termination reason: Instruction limit
% 1.03/0.57 % (3837848)Termination phase: Preprocessing 3
% 1.03/0.57 % (3837848)Time elapsed: 0.029 s
% 1.03/0.57 % (3837848)Peak memory usage: 12 MB
% 1.03/0.57 % (3837848)Instructions burned: 60 (million)
% 1.03/0.57 % (3837809)Instruction limit reached!
% 1.03/0.57 % (3837809)------------------------------
% 1.03/0.57 % (3837809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837809)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837809)Termination reason: Instruction limit
% 1.03/0.57 % (3837809)Termination phase: Saturation
% 1.03/0.57 % (3837809)Time elapsed: 0.139 s
% 1.03/0.57 % (3837809)Peak memory usage: 14 MB
% 1.03/0.57 % (3837809)Instructions burned: 157 (million)
% 1.03/0.57 % (3837861)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3058284349:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.03/0.57 % (3837861)Instruction limit reached!
% 1.03/0.57 % (3837861)------------------------------
% 1.03/0.57 % (3837861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837861)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837861)Termination reason: Instruction limit
% 1.03/0.57 % (3837861)Termination phase: Property scanning
% 1.03/0.57 % (3837861)Time elapsed: 0.006 s
% 1.03/0.57 % (3837861)Peak memory usage: 11 MB
% 1.03/0.57 % (3837861)Instructions burned: 24 (million)
% 1.03/0.57 % (3837858)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2057279006:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.03/0.57 % (3837863)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1705125701:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.03/0.57 % (3837859)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3164905404:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.03/0.57 % (3837865)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1223540189:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.03/0.57 % (3837858)Instruction limit reached!
% 1.03/0.57 % (3837858)------------------------------
% 1.03/0.57 % (3837858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837858)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837858)Termination reason: Instruction limit
% 1.03/0.57 % (3837858)Termination phase: shuffling
% 1.03/0.57 % (3837858)Time elapsed: 0.007 s
% 1.03/0.57 % (3837858)Peak memory usage: 10 MB
% 1.03/0.57 % (3837858)Instructions burned: 7 (million)
% 1.03/0.57 % (3837862)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2124236717:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.03/0.57 % (3837859)Instruction limit reached!
% 1.03/0.57 % (3837859)------------------------------
% 1.03/0.57 % (3837859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.57 % (3837859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.57 % (3837859)CaDiCaL version: 2.1.3
% 1.03/0.57 % (3837859)Termination reason: Instruction limit
% 1.03/0.57 % (3837859)Termination phase: shuffling
% 1.03/0.57 % (3837859)Time elapsed: 0.013 s
% 1.03/0.57 % (3837859)Peak memory usage: 10 MB
% 1.03/0.57 % (3837859)Instructions burned: 25 (million)
% 1.03/0.57 % (3837806) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3837797-3837806"...
% 1.03/0.57 % (3837806)...printing done.
% 1.03/0.57 % (3837806)Refutation found. Thanks to Tanya!
% 1.03/0.57 % SZS status Theorem for theBenchmark
% 1.03/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.03/0.58 % (3837806)------------------------------
% 1.03/0.58 % (3837806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.58 % (3837806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.58 % (3837806)CaDiCaL version: 2.1.3
% 1.03/0.58 % (3837806)Termination reason: Refutation
% 1.03/0.58 % (3837806)Time elapsed: 0.184 s
% 1.03/0.58 % (3837806)Peak memory usage: 16 MB
% 1.03/0.58 % (3837806)Instructions burned: 250 (million)
% 1.03/0.58 % (3837797)Success in time 0.284 s
% 1.03/0.58 % Vampire exiting
%------------------------------------------------------------------------------