%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP090^1 : 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 : n004.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 08:08:18 AM UTC 2026
% Result : Theorem 1.50s 0.72s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 23 unt; 0 typ; 4 def)
% Number of atoms : 151 ( 39 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 216 ( 38 ~; 27 |; 4 &; 142 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 14 ( 13 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 189 ( 186 usr; 16 con; 0-4 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_S529945141ession: $tType ).
thf(type_def_6,type,
set_Secrecy_Secrets: $tType ).
thf(type_def_7,type,
set_Secrecy_specID: $tType ).
thf(type_def_8,type,
set_Secrecy_chanID: $tType ).
thf(type_def_9,type,
set_Secrecy_Keys: $tType ).
thf(type_def_10,type,
set_Secrecy_KS: $tType ).
thf(type_def_11,type,
secrecy_Expression: $tType ).
thf(type_def_12,type,
secrecy_Secrets: $tType ).
thf(type_def_13,type,
secrecy_specID: $tType ).
thf(type_def_14,type,
secrecy_chanID: $tType ).
thf(type_def_15,type,
secrecy_Keys: $tType ).
thf(type_def_16,type,
secrecy_KS: $tType ).
thf(type_def_17,type,
nat: $tType ).
thf(type_def_18,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
localSecrets: secrecy_specID > set_Secrecy_KS ).
thf(func_def_1,type,
knowle233900195orrect: secrecy_specID > secrecy_KS > $o ).
thf(func_def_2,type,
knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).
thf(func_def_3,type,
knowle731562421_knows: secrecy_specID > list_S529945141ession > $o ).
thf(func_def_4,type,
sup_su1301156759ecy_KS: set_Secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_5,type,
sup_su552545507y_Keys: set_Secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_6,type,
sup_su1029080330ecrets: set_Secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_7,type,
sup_su370684444chanID: set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_8,type,
sup_su1712599557specID: set_Secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_9,type,
mem_Se1967555118ession: secrecy_Expression > list_S529945141ession > $o ).
thf(func_def_10,type,
bot_bot_Secrecy_KS_o: secrecy_KS > $o ).
thf(func_def_11,type,
bot_bo2072920570Keys_o: secrecy_Keys > $o ).
thf(func_def_12,type,
bot_bo1909946299rets_o: secrecy_Secrets > $o ).
thf(func_def_13,type,
bot_bo1012329985anID_o: secrecy_chanID > $o ).
thf(func_def_14,type,
bot_bo1767780696ecID_o: secrecy_specID > $o ).
thf(func_def_15,type,
bot_bo1943466239ecy_KS: set_Secrecy_KS ).
thf(func_def_16,type,
bot_bo701486667y_Keys: set_Secrecy_Keys ).
thf(func_def_17,type,
bot_bo1124690338ecrets: set_Secrecy_Secrets ).
thf(func_def_18,type,
bot_bo443197316chanID: set_Secrecy_chanID ).
thf(func_def_19,type,
bot_bo1785112429specID: set_Secrecy_specID ).
thf(func_def_20,type,
ord_le1802272080chanID: set_Secrecy_chanID > set_Secrecy_chanID > $o ).
thf(func_def_21,type,
decr: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_22,type,
enc: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_23,type,
encrDecrKeys: secrecy_Keys > secrecy_Keys > $o ).
thf(func_def_24,type,
ext: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_25,type,
sign: secrecy_Keys > list_S529945141ession > list_S529945141ession ).
thf(func_def_26,type,
correctCompositionKS: secrecy_specID > $o ).
thf(func_def_27,type,
eout: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_28,type,
eoutM: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_29,type,
exprChannel: secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_30,type,
ine: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_31,type,
ineM: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_32,type,
ine_exprChannelSet: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_33,type,
ine_ex1303305700Single: secrecy_specID > secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_34,type,
notSpe1586871396tsExpr: secrecy_specID > list_S529945141ession > $o ).
thf(func_def_35,type,
out_exprChannelSet: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_36,type,
out_ex985543062Single: secrecy_specID > secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_37,type,
specKeys: secrecy_specID > set_Secrecy_Keys ).
thf(func_def_38,type,
specKeysSecrets: secrecy_specID > set_Secrecy_KS ).
thf(func_def_39,type,
specSecrets: secrecy_specID > set_Secrecy_Secrets ).
thf(func_def_40,type,
secrecy_kE: secrecy_Keys > secrecy_Expression ).
thf(func_def_41,type,
secrecy_sE: secrecy_Secrets > secrecy_Expression ).
thf(func_def_42,type,
secrec1016742679ession: secrecy_KS > secrecy_Expression ).
thf(func_def_43,type,
secrecy_kKS: secrecy_Keys > secrecy_KS ).
thf(func_def_44,type,
secrecy_sKS: secrecy_Secrets > secrecy_KS ).
thf(func_def_45,type,
collect_Secrecy_KS: ( secrecy_KS > $o ) > set_Secrecy_KS ).
thf(func_def_46,type,
collect_Secrecy_Keys: ( secrecy_Keys > $o ) > set_Secrecy_Keys ).
thf(func_def_47,type,
collec836099393ecrets: ( secrecy_Secrets > $o ) > set_Secrecy_Secrets ).
thf(func_def_48,type,
collec625564175chanID: ( secrecy_chanID > $o ) > set_Secrecy_chanID ).
thf(func_def_49,type,
collec1545797240specID: ( secrecy_specID > $o ) > set_Secrecy_specID ).
thf(func_def_50,type,
insert_Secrecy_KS: secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_51,type,
insert_Secrecy_Keys: secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_52,type,
insert565337510ecrets: secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_53,type,
insert751661162chanID: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_54,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_55,type,
is_emp928984296chanID: set_Secrecy_chanID > $o ).
thf(func_def_56,type,
is_emp1849217361specID: set_Secrecy_specID > $o ).
thf(func_def_57,type,
is_sin1442426433ecy_KS: set_Secrecy_KS > $o ).
thf(func_def_58,type,
is_sin1096471309y_Keys: set_Secrecy_Keys > $o ).
thf(func_def_59,type,
is_sin1002224330ecrets: set_Secrecy_Secrets > $o ).
thf(func_def_60,type,
is_sin581274182chanID: set_Secrecy_chanID > $o ).
thf(func_def_61,type,
is_sin1501507247specID: set_Secrecy_specID > $o ).
thf(func_def_62,type,
the_el2054381829chanID: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_63,type,
the_el827131246specID: set_Secrecy_specID > secrecy_specID ).
thf(func_def_64,type,
correctCompositionIn: secrecy_specID > $o ).
thf(func_def_65,type,
correc965049635ionLoc: secrecy_specID > $o ).
thf(func_def_66,type,
correc990227761ionOut: secrecy_specID > $o ).
thf(func_def_67,type,
inStream: secrecy_specID > set_Secrecy_chanID > $o ).
thf(func_def_68,type,
ins: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_69,type,
loc: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_70,type,
locStream: secrecy_specID > set_Secrecy_chanID > $o ).
thf(func_def_71,type,
out: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_72,type,
outStream: secrecy_specID > set_Secrecy_chanID > $o ).
thf(func_def_73,type,
subcomponents: secrecy_specID > set_Secrecy_specID ).
thf(func_def_74,type,
member_Secrecy_KS: secrecy_KS > set_Secrecy_KS > $o ).
thf(func_def_75,type,
member_Secrecy_Keys: secrecy_Keys > set_Secrecy_Keys > $o ).
thf(func_def_76,type,
member2138796287ecrets: secrecy_Secrets > set_Secrecy_Secrets > $o ).
thf(func_def_77,type,
member1967978193chanID: secrecy_chanID > set_Secrecy_chanID > $o ).
thf(func_def_78,type,
member740727610specID: secrecy_specID > set_Secrecy_specID > $o ).
thf(func_def_79,type,
p: secrecy_specID ).
thf(func_def_80,type,
pq: secrecy_specID ).
thf(func_def_81,type,
q: secrecy_specID ).
thf(func_def_82,type,
key: secrecy_Keys ).
thf(func_def_83,type,
m: secrecy_KS ).
thf(func_def_87,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_88,type,
vAND: $o > $o > $o ).
thf(func_def_89,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_90,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_91,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_92,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_93,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_94,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_95,type,
vIMP: $o > $o > $o ).
thf(func_def_96,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_97,type,
vNOT: $o > $o ).
thf(func_def_98,type,
sK0: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_99,type,
sK1: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_100,type,
sK2: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_101,type,
sK3: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_102,type,
sK4: ( secrecy_chanID > $o ) > set_Secrecy_chanID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_103,type,
sK5: ( secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_104,type,
sK6: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_105,type,
sK7: set_Secrecy_specID > secrecy_specID ).
thf(func_def_106,type,
sK8: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_107,type,
sK9: secrecy_specID > secrecy_Secrets > secrecy_specID ).
thf(func_def_108,type,
sK10: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_109,type,
sK11: secrecy_specID > secrecy_Keys > secrecy_specID ).
thf(func_def_110,type,
sK12: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_111,type,
sK13: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_112,type,
sK14: secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_113,type,
sK15: set_Secrecy_KS > ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_114,type,
sK16: set_Secrecy_KS > ( secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_115,type,
sK17: ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_116,type,
sK18: set_Secrecy_Keys > secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_117,type,
sK19: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_118,type,
sK20: secrecy_Secrets > secrecy_specID > secrecy_chanID ).
thf(func_def_119,type,
sK21: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_120,type,
sK22: set_Secrecy_specID > secrecy_specID ).
thf(func_def_121,type,
sK23: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_122,type,
sK24: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_123,type,
sK25: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_124,type,
sK26: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_125,type,
sK27: secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_126,type,
sK28: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_127,type,
sK29: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_128,type,
sK30: secrecy_chanID > secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_129,type,
sK31: set_Secrecy_Keys > secrecy_Keys > secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_130,type,
sK32: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_131,type,
sK33: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_132,type,
sK34: secrecy_KS > secrecy_specID > secrecy_specID > secrecy_Secrets ).
thf(func_def_133,type,
sK35: secrecy_KS > secrecy_specID > secrecy_specID > secrecy_Keys ).
thf(func_def_134,type,
sK36: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_135,type,
sK37: secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_136,type,
sK38: secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Secrets ).
thf(func_def_137,type,
sK39: secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Keys ).
thf(func_def_138,type,
sK40: set_Secrecy_KS > secrecy_KS ).
thf(func_def_139,type,
sK41: ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_140,type,
sK42: set_Secrecy_Secrets > secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_141,type,
sK43: set_Secrecy_KS > secrecy_KS > secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_142,type,
sK44: set_Secrecy_KS > secrecy_KS ).
thf(func_def_143,type,
sK45: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_144,type,
sK46: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_145,type,
sK47: set_Secrecy_specID > secrecy_specID > secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_146,type,
sK48: ( secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_147,type,
sK49: set_Secrecy_specID > secrecy_specID ).
thf(func_def_148,type,
sK50: secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_149,type,
sK51: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_150,type,
sK52: secrecy_Expression > secrecy_specID > secrecy_chanID ).
thf(func_def_151,type,
sK53: ( secrecy_KS > $o ) > secrecy_Secrets ).
thf(func_def_152,type,
sK54: ( secrecy_KS > $o ) > secrecy_Keys ).
thf(func_def_153,type,
sK55: set_Secrecy_KS > secrecy_KS ).
thf(func_def_154,type,
sK56: secrecy_specID > secrecy_Secrets > secrecy_chanID ).
thf(func_def_155,type,
sK57: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_156,type,
sK58: secrecy_specID > secrecy_Keys > secrecy_chanID ).
thf(func_def_157,type,
sK59: secrecy_Keys > secrecy_specID > secrecy_chanID ).
thf(func_def_158,type,
sK60: set_Secrecy_chanID > ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_159,type,
sK61: set_Secrecy_chanID > ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_160,type,
sK62: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_161,type,
sK63: set_Secrecy_Secrets > set_Secrecy_Secrets > secrecy_Secrets > secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_162,type,
sK64: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_163,type,
sK65: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_164,type,
sK66: set_Secrecy_specID > secrecy_specID > set_Secrecy_specID ).
thf(func_def_165,type,
sK67: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_166,type,
sK68: set_Secrecy_KS > secrecy_KS ).
thf(func_def_167,type,
sK69: set_Secrecy_KS > secrecy_KS ).
thf(func_def_168,type,
sK70: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_169,type,
sK71: set_Secrecy_specID > secrecy_specID ).
thf(func_def_170,type,
sK72: set_Secrecy_specID > secrecy_specID ).
thf(func_def_171,type,
sK73: set_Secrecy_specID > secrecy_specID ).
thf(func_def_172,type,
sK74: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_173,type,
sK75: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_174,type,
sK76: secrecy_KS > secrecy_Keys ).
thf(func_def_175,type,
sK77: secrecy_KS > secrecy_Secrets ).
thf(func_def_176,type,
sK78: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_177,type,
sK79: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_178,type,
sK80: set_Secrecy_KS > set_Secrecy_KS > ( secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_179,type,
sK81: set_Secrecy_KS > ( secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_180,type,
sK82: set_Secrecy_KS > ( secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_181,type,
sK83: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_182,type,
sK84: ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_184,type,
inv_secrecy_kKS_86: secrecy_KS > secrecy_Keys ).
thf(f1,axiom,
~ ( knowle945212990e_know @ q @ m ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_not__knowQm) ).
thf(f2,axiom,
( m
= ( secrecy_kKS @ key ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_a1) ).
thf(f9,axiom,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) )
| ( ( ine @ X0 @ ( secrecy_kE @ X1 ) )
= ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_know_Osimps_I1_J) ).
thf(f356,conjecture,
~ ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ~ ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f571,plain,
~ ~ ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) ),
inference(rectify,[],[f357]) ).
thf(f572,plain,
~ ( ( ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) )
!= $true ) ),
inference(fool_elimination,[],[f571]) ).
thf(f699,plain,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) )
| ( ( ine @ X0 @ ( secrecy_kE @ X1 ) )
= ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) ) ) ),
inference(rectify,[],[f9]) ).
thf(f700,plain,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
= $true )
<=> ( ( ( ine @ X0 @ ( secrecy_kE @ X1 ) )
= $true )
| ( ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) )
= $true ) ) ),
inference(fool_elimination,[],[f699]) ).
thf(f786,plain,
~ ( knowle945212990e_know @ q @ m ),
inference(rectify,[],[f1]) ).
thf(f787,plain,
( ( knowle945212990e_know @ q @ m )
!= $true ),
inference(fool_elimination,[],[f786]) ).
thf(f1004,plain,
( ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) )
= $true ),
inference(flattening,[],[f572]) ).
thf(f1054,plain,
( ( knowle945212990e_know @ q @ m )
!= $true ),
inference(flattening,[],[f787]) ).
thf(f1767,plain,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
= $true )
| ( ( ( ine @ X0 @ ( secrecy_kE @ X1 ) )
!= $true )
& ( ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) )
!= $true ) ) )
& ( ( ( ine @ X0 @ ( secrecy_kE @ X1 ) )
= $true )
| ( ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) )
= $true )
| ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
!= $true ) ) ),
inference(nnf_transformation,[],[f700]) ).
thf(f1768,plain,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
= $true )
| ( ( ( ine @ X0 @ ( secrecy_kE @ X1 ) )
!= $true )
& ( ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) )
!= $true ) ) )
& ( ( ( ine @ X0 @ ( secrecy_kE @ X1 ) )
= $true )
| ( ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) )
= $true )
| ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
!= $true ) ) ),
inference(flattening,[],[f1767]) ).
thf(f2064,plain,
( m
= ( secrecy_kKS @ key ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f2139,plain,
( ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) )
= $true ),
inference(cnf_transformation,[],[f1004]) ).
thf(f2204,plain,
( ( knowle945212990e_know @ q @ m )
!= $true ),
inference(cnf_transformation,[],[f1054]) ).
thf(f2420,plain,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X0 ) )
!= $true )
| ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
= $true ) ),
inference(cnf_transformation,[],[f1768]) ).
thf(f2727,definition,
( spl85_22
<=> ( m
= ( secrecy_kKS @ key ) ) ),
introduced(definition,[new_symbols(definition,[spl85_22])],[avatar_definition]) ).
thf(f2729,plain,
( ( m
= ( secrecy_kKS @ key ) )
| ~ spl85_22 ),
inference(avatar_component_clause,[],[f2727]) ).
thf(f2730,plain,
spl85_22,
inference(avatar_split_clause,[],[f2064,f2727]) ).
thf(f2737,definition,
( spl85_24
<=> ( ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl85_24])],[avatar_definition]) ).
thf(f2739,plain,
( ( ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) )
= $true )
| ~ spl85_24 ),
inference(avatar_component_clause,[],[f2737]) ).
thf(f2740,plain,
spl85_24,
inference(avatar_split_clause,[],[f2139,f2737]) ).
thf(f2762,definition,
( spl85_29
<=> ( ( knowle945212990e_know @ q @ m )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl85_29])],[avatar_definition]) ).
thf(f2764,plain,
( ( ( knowle945212990e_know @ q @ m )
!= $true )
| spl85_29 ),
inference(avatar_component_clause,[],[f2762]) ).
thf(f2765,plain,
~ spl85_29,
inference(avatar_split_clause,[],[f2204,f2762]) ).
thf(f2838,plain,
( ( $true
!= ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) ) )
| ~ spl85_22
| spl85_29 ),
inference(forward_demodulation,[],[f2764,f2729]) ).
thf(f2840,definition,
( spl85_44
<=> ( $true
= ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) ) ) ),
introduced(definition,[new_symbols(definition,[spl85_44])],[avatar_definition]) ).
thf(f2842,plain,
( ( $true
!= ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) ) )
| spl85_44 ),
inference(avatar_component_clause,[],[f2840]) ).
thf(f2843,plain,
( ~ spl85_44
| ~ spl85_22
| spl85_29 ),
inference(avatar_split_clause,[],[f2838,f2762,f2727,f2840]) ).
thf(f2863,plain,
( ( $true
= ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) ) )
| ( $true != $true )
| ~ spl85_24 ),
inference(superposition,[],[f2420,f2739]) ).
thf(f2865,plain,
( ( $true
= ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) ) )
| ~ spl85_24 ),
inference(trivial_inequality_removal,[],[f2863]) ).
thf(f2867,plain,
( $false
| ~ spl85_24
| spl85_44 ),
inference(forward_subsumption_resolution,[],[f2865,f2842]) ).
thf(f2868,plain,
( ~ spl85_24
| spl85_44 ),
inference(avatar_contradiction_clause,[],[f2867]) ).
cnf(s24,plain,
spl85_22,
inference(sat_conversion,[],[f2730]) ).
cnf(s26,plain,
spl85_24,
inference(sat_conversion,[],[f2740]) ).
cnf(s35,plain,
~ spl85_29,
inference(sat_conversion,[],[f2765]) ).
cnf(s51,plain,
( ~ spl85_22
| spl85_29
| ~ spl85_44 ),
inference(sat_conversion,[],[f2843]) ).
cnf(s52,plain,
( ~ spl85_24
| spl85_44 ),
inference(sat_conversion,[],[f2868]) ).
cnf(s54,plain,
spl85_44,
inference(rat,[],[s52,s26]) ).
cnf(s55,plain,
~ spl85_22,
inference(rat,[],[s51,s35,s54]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s24,s55]) ).
thf(f2874,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP090^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.28 % Computer : n004.cluster.edu
% 0.12/0.28 % Model : x86_64 x86_64
% 0.12/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28 % Memory : 8046.5625MB
% 0.12/0.28 % OS : Linux 6.8.0-71-generic
% 0.12/0.28 % CPULimit : 300
% 0.12/0.28 % WCLimit : 300
% 0.12/0.28 % DateTime : Tue Sep 29 19:52:07 UTC 2026
% 0.12/0.29 % CPUTime :
% 0.12/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.34 Running higher-order theorem proving
% 0.36/0.45 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
% 1.50/0.71 % (1752655)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.50/0.71 % (1752664)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3569295492:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.50/0.71 % (1752666)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.50/0.71 % (1752666)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
% 1.50/0.71 % (1752664)Instruction limit reached!
% 1.50/0.71 % (1752664)------------------------------
% 1.50/0.71 % (1752664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.71 % (1752664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.71 % (1752664)CaDiCaL version: 2.1.3
% 1.50/0.71 % (1752664)Termination reason: Instruction limit
% 1.50/0.71 % (1752664)Termination phase: shuffling
% 1.50/0.71 % (1752664)Time elapsed: 0.012 s
% 1.50/0.71 % (1752664)Peak memory usage: 10 MB
% 1.50/0.71 % (1752664)Instructions burned: 26 (million)
% 1.50/0.71 % (1752661)lrs+10_16_si=on:nwc=1.5:random_seed=1474267550:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.50/0.71 % (1752660)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1532586020:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.50/0.71 % (1752662)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=995864221:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.50/0.71 % (1752663)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=2779278629: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)
% 1.50/0.71 % (1752665)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=481805327:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.50/0.71 % (1752666)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=1099631970:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.50/0.71 % (1752662)Instruction limit reached!
% 1.50/0.71 % (1752662)------------------------------
% 1.50/0.71 % (1752662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.71 % (1752662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.71 % (1752662)CaDiCaL version: 2.1.3
% 1.50/0.71 % (1752662)Termination reason: Instruction limit
% 1.50/0.71 % (1752662)Termination phase: shuffling
% 1.50/0.71 % (1752662)Time elapsed: 0.004 s
% 1.50/0.71 % (1752662)Peak memory usage: 10 MB
% 1.50/0.71 % (1752662)Instructions burned: 4 (million)
% 1.50/0.71 % (1752661)Instruction limit reached!
% 1.50/0.71 % (1752661)------------------------------
% 1.50/0.71 % (1752661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.71 % (1752661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.71 % (1752661)CaDiCaL version: 2.1.3
% 1.50/0.71 % (1752661)Termination reason: Instruction limit
% 1.50/0.71 % (1752661)Termination phase: shuffling
% 1.50/0.71 % (1752661)Time elapsed: 0.016 s
% 1.50/0.71 % (1752661)Peak memory usage: 10 MB
% 1.50/0.71 % (1752661)Instructions burned: 19 (million)
% 1.50/0.71 % (1752675)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4077972918:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.50/0.71 % (1752676)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.50/0.71 % (1752675)Instruction limit reached!
% 1.50/0.71 % (1752675)------------------------------
% 1.50/0.71 % (1752675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.71 % (1752675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.71 % (1752675)CaDiCaL version: 2.1.3
% 1.50/0.71 % (1752675)Termination reason: Instruction limit
% 1.50/0.71 % (1752675)Termination phase: shuffling
% 1.50/0.71 % (1752675)Time elapsed: 0.005 s
% 1.50/0.71 % (1752675)Peak memory usage: 10 MB
% 1.50/0.71 % (1752675)Instructions burned: 5 (million)
% 1.50/0.72 % (1752676)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2451746832:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.50/0.72 % (1752676)Instruction limit reached!
% 1.50/0.72 % (1752676)------------------------------
% 1.50/0.72 % (1752676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752676)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752676)Termination reason: Instruction limit
% 1.50/0.72 % (1752676)Termination phase: shuffling
% 1.50/0.72 % (1752676)Time elapsed: 0.006 s
% 1.50/0.72 % (1752676)Peak memory usage: 10 MB
% 1.50/0.72 % (1752676)Instructions burned: 7 (million)
% 1.50/0.72 % (1752671)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=376661471:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.50/0.72 % (1752671)Instruction limit reached!
% 1.50/0.72 % (1752671)------------------------------
% 1.50/0.72 % (1752671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752671)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752671)Termination reason: Instruction limit
% 1.50/0.72 % (1752671)Termination phase: shuffling
% 1.50/0.72 % (1752671)Time elapsed: 0.006 s
% 1.50/0.72 % (1752671)Peak memory usage: 10 MB
% 1.50/0.72 % (1752671)Instructions burned: 3 (million)
% 1.50/0.72 % (1752665)Instruction limit reached!
% 1.50/0.72 % (1752665)------------------------------
% 1.50/0.72 % (1752665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752665)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752665)Termination reason: Instruction limit
% 1.50/0.72 % (1752665)Termination phase: Clausification
% 1.50/0.72 % (1752665)Time elapsed: 0.067 s
% 1.50/0.72 % (1752665)Peak memory usage: 12 MB
% 1.50/0.72 % (1752665)Instructions burned: 78 (million)
% 1.50/0.72 % (1752660)Instruction limit reached!
% 1.50/0.72 % (1752660)------------------------------
% 1.50/0.72 % (1752660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752660)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752660)Termination reason: Instruction limit
% 1.50/0.72 % (1752660)Termination phase: Property scanning
% 1.50/0.72 % (1752660)Time elapsed: 0.074 s
% 1.50/0.72 % (1752660)Peak memory usage: 12 MB
% 1.50/0.72 % (1752660)Instructions burned: 88 (million)
% 1.50/0.72 % (1752678)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2602461486:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.50/0.72 % (1752680)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
% 1.50/0.72 % (1752680)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.50/0.72 % (1752682)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=4271556365:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.50/0.72 % (1752678)Instruction limit reached!
% 1.50/0.72 % (1752678)------------------------------
% 1.50/0.72 % (1752678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752678)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752678)Termination reason: Instruction limit
% 1.50/0.72 % (1752678)Termination phase: shuffling
% 1.50/0.72 % (1752678)Time elapsed: 0.011 s
% 1.50/0.72 % (1752678)Peak memory usage: 10 MB
% 1.50/0.72 % (1752678)Instructions burned: 13 (million)
% 1.50/0.72 % (1752680)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1170358340:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.50/0.72 % (1752683)lrs+10_1_si=on:cs=on:random_seed=1730076673:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.50/0.72 % (1752683)Instruction limit reached!
% 1.50/0.72 % (1752683)------------------------------
% 1.50/0.72 % (1752683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752683)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752683)Termination reason: Instruction limit
% 1.50/0.72 % (1752683)Termination phase: shuffling
% 1.50/0.72 % (1752683)Time elapsed: 0.009 s
% 1.50/0.72 % (1752683)Peak memory usage: 10 MB
% 1.50/0.72 % (1752683)Instructions burned: 8 (million)
% 1.50/0.72 % (1752680)Instruction limit reached!
% 1.50/0.72 % (1752680)------------------------------
% 1.50/0.72 % (1752680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752680)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752680)Termination reason: Instruction limit
% 1.50/0.72 % (1752680)Termination phase: shuffling
% 1.50/0.72 % (1752680)Time elapsed: 0.026 s
% 1.50/0.72 % (1752680)Peak memory usage: 10 MB
% 1.50/0.72 % (1752680)Instructions burned: 29 (million)
% 1.50/0.72 % (1752685)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.50/0.72 % (1752682)Instruction limit reached!
% 1.50/0.72 % (1752682)------------------------------
% 1.50/0.72 % (1752682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752682)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752682)Termination reason: Instruction limit
% 1.50/0.72 % (1752682)Termination phase: Property scanning
% 1.50/0.72 % (1752682)Time elapsed: 0.037 s
% 1.50/0.72 % (1752682)Peak memory usage: 11 MB
% 1.50/0.72 % (1752682)Instructions burned: 86 (million)
% 1.50/0.72 % (1752685)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=1265440787:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.50/0.72 % (1752666)Instruction limit reached!
% 1.50/0.72 % (1752666)------------------------------
% 1.50/0.72 % (1752666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752666)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752666)Termination reason: Instruction limit
% 1.50/0.72 % (1752666)Termination phase: Saturation
% 1.50/0.72 % (1752666)Time elapsed: 0.129 s
% 1.50/0.72 % (1752666)Peak memory usage: 13 MB
% 1.50/0.72 % (1752666)Instructions burned: 157 (million)
% 1.50/0.72 % (1752688)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3741002531:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.50/0.72 % (1752685)Instruction limit reached!
% 1.50/0.72 % (1752685)------------------------------
% 1.50/0.72 % (1752685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752685)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752685)Termination reason: Instruction limit
% 1.50/0.72 % (1752685)Termination phase: shuffling
% 1.50/0.72 % (1752685)Time elapsed: 0.007 s
% 1.50/0.72 % (1752685)Peak memory usage: 10 MB
% 1.50/0.72 % (1752685)Instructions burned: 3 (million)
% 1.50/0.72 % (1752691)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2725432496:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.50/0.72 % (1752692)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3757115741:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.50/0.72 % (1752690)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3691385610:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.50/0.72 % (1752695)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=266131931:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/327Mi)
% 1.50/0.72 % (1752688)Instruction limit reached!
% 1.50/0.72 % (1752688)------------------------------
% 1.50/0.72 % (1752688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752688)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752688)Termination reason: Instruction limit
% 1.50/0.72 % (1752688)Termination phase: Property scanning
% 1.50/0.72 % (1752688)Time elapsed: 0.032 s
% 1.50/0.72 % (1752688)Peak memory usage: 10 MB
% 1.50/0.72 % (1752688)Instructions burned: 39 (million)
% 1.50/0.72 % (1752692)Instruction limit reached!
% 1.50/0.72 % (1752692)------------------------------
% 1.50/0.72 % (1752692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752692)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752692)Termination reason: Instruction limit
% 1.50/0.72 % (1752692)Termination phase: shuffling
% 1.50/0.72 % (1752692)Time elapsed: 0.013 s
% 1.50/0.72 % (1752692)Peak memory usage: 10 MB
% 1.50/0.72 % (1752692)Instructions burned: 14 (million)
% 1.50/0.72 % (1752663) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1752655-1752663"...
% 1.50/0.72 % (1752696)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2271484797:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 1.50/0.72 % (1752691)Instruction limit reached!
% 1.50/0.72 % (1752691)------------------------------
% 1.50/0.72 % (1752691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752691)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752691)Termination reason: Instruction limit
% 1.50/0.72 % (1752691)Termination phase: shuffling
% 1.50/0.72 % (1752691)Time elapsed: 0.022 s
% 1.50/0.72 % (1752691)Peak memory usage: 10 MB
% 1.50/0.72 % (1752691)Instructions burned: 26 (million)
% 1.50/0.72 % (1752663)...printing done.
% 1.50/0.72 % (1752663)Refutation found. Thanks to Tanya!
% 1.50/0.72 % SZS status Theorem for theBenchmark
% 1.50/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.72 % (1752663)------------------------------
% 1.50/0.72 % (1752663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.72 % (1752663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.72 % (1752663)CaDiCaL version: 2.1.3
% 1.50/0.72 % (1752663)Termination reason: Refutation
% 1.50/0.72 % (1752663)Time elapsed: 0.169 s
% 1.50/0.72 % (1752663)Peak memory usage: 15 MB
% 1.50/0.72 % (1752663)Instructions burned: 200 (million)
% 1.50/0.72 % (1752655)Success in time 0.255 s
% 1.50/0.72 % Vampire exiting
%------------------------------------------------------------------------------