%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP087^1 : 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 08:08:17 AM UTC 2026
% Result : Theorem 1.63s 0.74s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 61 ( 35 unt; 0 typ; 5 def)
% Number of atoms : 253 ( 71 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 391 ( 72 ~; 68 |; 0 &; 237 @)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 184 ( 181 usr; 17 con; 0-4 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 33 :)
% 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,
sup_su1301156759ecy_KS: set_Secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_4,type,
sup_su552545507y_Keys: set_Secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_5,type,
sup_su1029080330ecrets: set_Secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_6,type,
sup_su370684444chanID: set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_7,type,
sup_su1712599557specID: set_Secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_8,type,
mem_Se1967555118ession: secrecy_Expression > list_S529945141ession > $o ).
thf(func_def_9,type,
bot_bot_Secrecy_KS_o: secrecy_KS > $o ).
thf(func_def_10,type,
bot_bo2072920570Keys_o: secrecy_Keys > $o ).
thf(func_def_11,type,
bot_bo1909946299rets_o: secrecy_Secrets > $o ).
thf(func_def_12,type,
bot_bo1012329985anID_o: secrecy_chanID > $o ).
thf(func_def_13,type,
bot_bo1767780696ecID_o: secrecy_specID > $o ).
thf(func_def_14,type,
bot_bo1943466239ecy_KS: set_Secrecy_KS ).
thf(func_def_15,type,
bot_bo701486667y_Keys: set_Secrecy_Keys ).
thf(func_def_16,type,
bot_bo1124690338ecrets: set_Secrecy_Secrets ).
thf(func_def_17,type,
bot_bo443197316chanID: set_Secrecy_chanID ).
thf(func_def_18,type,
bot_bo1785112429specID: set_Secrecy_specID ).
thf(func_def_19,type,
ord_le1802272080chanID: set_Secrecy_chanID > set_Secrecy_chanID > $o ).
thf(func_def_20,type,
correctCompositionKS: secrecy_specID > $o ).
thf(func_def_21,type,
correc17873122onKeys: secrecy_specID > $o ).
thf(func_def_22,type,
eout: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_23,type,
eoutM: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_24,type,
exprChannel: secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_25,type,
ine: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_26,type,
ineM: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_27,type,
ine_exprChannelSet: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_28,type,
ine_ex1303305700Single: secrecy_specID > secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_29,type,
notSpe1586871396tsExpr: secrecy_specID > list_S529945141ession > $o ).
thf(func_def_30,type,
out_exprChannelSet: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_31,type,
out_ex985543062Single: secrecy_specID > secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_32,type,
specKeys: secrecy_specID > set_Secrecy_Keys ).
thf(func_def_33,type,
specKeysSecrets: secrecy_specID > set_Secrecy_KS ).
thf(func_def_34,type,
specSecrets: secrecy_specID > set_Secrecy_Secrets ).
thf(func_def_35,type,
secrecy_kE: secrecy_Keys > secrecy_Expression ).
thf(func_def_36,type,
secrecy_sE: secrecy_Secrets > secrecy_Expression ).
thf(func_def_37,type,
secrec1016742679ession: secrecy_KS > secrecy_Expression ).
thf(func_def_38,type,
secrecy_kKS: secrecy_Keys > secrecy_KS ).
thf(func_def_39,type,
secrecy_sKS: secrecy_Secrets > secrecy_KS ).
thf(func_def_40,type,
collect_Secrecy_KS: ( secrecy_KS > $o ) > set_Secrecy_KS ).
thf(func_def_41,type,
collect_Secrecy_Keys: ( secrecy_Keys > $o ) > set_Secrecy_Keys ).
thf(func_def_42,type,
collec836099393ecrets: ( secrecy_Secrets > $o ) > set_Secrecy_Secrets ).
thf(func_def_43,type,
collec625564175chanID: ( secrecy_chanID > $o ) > set_Secrecy_chanID ).
thf(func_def_44,type,
collec1545797240specID: ( secrecy_specID > $o ) > set_Secrecy_specID ).
thf(func_def_45,type,
insert_Secrecy_KS: secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_46,type,
insert_Secrecy_Keys: secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_47,type,
insert565337510ecrets: secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_48,type,
insert751661162chanID: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_49,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_50,type,
is_emp928984296chanID: set_Secrecy_chanID > $o ).
thf(func_def_51,type,
is_emp1849217361specID: set_Secrecy_specID > $o ).
thf(func_def_52,type,
is_sin1442426433ecy_KS: set_Secrecy_KS > $o ).
thf(func_def_53,type,
is_sin1096471309y_Keys: set_Secrecy_Keys > $o ).
thf(func_def_54,type,
is_sin1002224330ecrets: set_Secrecy_Secrets > $o ).
thf(func_def_55,type,
is_sin581274182chanID: set_Secrecy_chanID > $o ).
thf(func_def_56,type,
is_sin1501507247specID: set_Secrecy_specID > $o ).
thf(func_def_57,type,
the_el2054381829chanID: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_58,type,
the_el827131246specID: set_Secrecy_specID > secrecy_specID ).
thf(func_def_59,type,
correctCompositionIn: secrecy_specID > $o ).
thf(func_def_60,type,
correc965049635ionLoc: secrecy_specID > $o ).
thf(func_def_61,type,
correc990227761ionOut: secrecy_specID > $o ).
thf(func_def_62,type,
inStream: secrecy_specID > set_Secrecy_chanID > $o ).
thf(func_def_63,type,
ins: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_64,type,
loc: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_65,type,
locStream: secrecy_specID > set_Secrecy_chanID > $o ).
thf(func_def_66,type,
out: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_67,type,
subcomponents: secrecy_specID > set_Secrecy_specID ).
thf(func_def_68,type,
member_Secrecy_KS: secrecy_KS > set_Secrecy_KS > $o ).
thf(func_def_69,type,
member_Secrecy_Keys: secrecy_Keys > set_Secrecy_Keys > $o ).
thf(func_def_70,type,
member2138796287ecrets: secrecy_Secrets > set_Secrecy_Secrets > $o ).
thf(func_def_71,type,
member1967978193chanID: secrecy_chanID > set_Secrecy_chanID > $o ).
thf(func_def_72,type,
member740727610specID: secrecy_specID > set_Secrecy_specID > $o ).
thf(func_def_73,type,
p: secrecy_specID ).
thf(func_def_74,type,
pq: secrecy_specID ).
thf(func_def_75,type,
q: secrecy_specID ).
thf(func_def_76,type,
key: secrecy_Keys ).
thf(func_def_77,type,
m: secrecy_KS ).
thf(func_def_81,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_82,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_83,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_84,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_85,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_86,type,
vAND: $o > $o > $o ).
thf(func_def_87,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_88,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_89,type,
vIMP: $o > $o > $o ).
thf(func_def_90,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_91,type,
vNOT: $o > $o ).
thf(func_def_92,type,
sK0: secrecy_specID > secrecy_Secrets > secrecy_specID ).
thf(func_def_93,type,
sK1: secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_94,type,
sK2: secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_95,type,
sK3: secrecy_Keys > secrecy_specID > secrecy_specID ).
thf(func_def_96,type,
sK4: set_Secrecy_specID > secrecy_specID ).
thf(func_def_97,type,
sK5: secrecy_Expression > secrecy_specID > secrecy_chanID ).
thf(func_def_98,type,
sK6: set_Secrecy_KS > ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_99,type,
sK7: set_Secrecy_KS > ( secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_100,type,
sK8: ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_101,type,
sK9: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_102,type,
sK10: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_103,type,
sK11: secrecy_specID > secrecy_Keys > secrecy_chanID ).
thf(func_def_104,type,
sK12: secrecy_specID > secrecy_Keys > secrecy_specID ).
thf(func_def_105,type,
sK13: set_Secrecy_chanID > ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_106,type,
sK14: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_107,type,
sK15: set_Secrecy_chanID > ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_108,type,
sK16: ( secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_109,type,
sK17: secrecy_chanID > secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_110,type,
sK18: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_111,type,
sK19: secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_112,type,
sK20: secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Secrets ).
thf(func_def_113,type,
sK21: secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Keys ).
thf(func_def_114,type,
sK22: secrecy_KS > secrecy_Secrets ).
thf(func_def_115,type,
sK23: secrecy_KS > secrecy_Keys ).
thf(func_def_116,type,
sK24: secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_117,type,
sK25: set_Secrecy_specID > secrecy_specID ).
thf(func_def_118,type,
sK26: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_119,type,
sK27: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_120,type,
sK28: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_121,type,
sK29: ( secrecy_chanID > $o ) > set_Secrecy_chanID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_122,type,
sK30: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_123,type,
sK31: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_124,type,
sK32: set_Secrecy_specID > secrecy_specID > set_Secrecy_specID ).
thf(func_def_125,type,
sK33: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_126,type,
sK34: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_127,type,
sK35: secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_128,type,
sK36: set_Secrecy_KS > secrecy_KS ).
thf(func_def_129,type,
sK37: set_Secrecy_KS > ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_130,type,
sK38: set_Secrecy_KS > ( secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_131,type,
sK39: ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_132,type,
sK40: ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_133,type,
sK41: set_Secrecy_specID > secrecy_specID ).
thf(func_def_134,type,
sK42: set_Secrecy_KS > secrecy_KS ).
thf(func_def_135,type,
sK43: set_Secrecy_KS > secrecy_KS ).
thf(func_def_136,type,
sK44: secrecy_specID > secrecy_Keys > secrecy_chanID ).
thf(func_def_137,type,
sK45: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_138,type,
sK46: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_139,type,
sK47: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_140,type,
sK48: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_141,type,
sK49: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_142,type,
sK50: ( secrecy_KS > $o ) > secrecy_Secrets ).
thf(func_def_143,type,
sK51: ( secrecy_KS > $o ) > secrecy_Keys ).
thf(func_def_144,type,
sK52: secrecy_specID > secrecy_Secrets > secrecy_chanID ).
thf(func_def_145,type,
sK53: ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_146,type,
sK54: secrecy_KS > set_Secrecy_KS > secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_147,type,
sK55: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_148,type,
sK56: secrecy_Secrets > secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_149,type,
sK57: set_Secrecy_Keys > set_Secrecy_Keys > secrecy_Keys > secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_150,type,
sK58: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_151,type,
sK59: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_152,type,
sK60: set_Secrecy_KS > secrecy_KS > set_Secrecy_KS ).
thf(func_def_153,type,
sK61: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_154,type,
sK62: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_155,type,
sK63: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_156,type,
sK64: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_157,type,
sK65: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_158,type,
sK66: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_159,type,
sK67: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_160,type,
sK68: ( secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_161,type,
sK69: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_162,type,
sK70: set_Secrecy_KS > secrecy_KS ).
thf(func_def_163,type,
sK71: set_Secrecy_specID > secrecy_specID ).
thf(func_def_164,type,
sK72: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_165,type,
sK73: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_166,type,
sK74: set_Secrecy_specID > secrecy_specID > set_Secrecy_specID ).
thf(func_def_167,type,
sK75: secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Secrets ).
thf(func_def_168,type,
sK76: secrecy_specID > secrecy_specID > secrecy_KS > secrecy_Keys ).
thf(func_def_169,type,
sK77: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_170,type,
sK78: secrecy_specID > secrecy_specID > set_Secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_171,type,
sK79: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_172,type,
sK80: set_Secrecy_KS > secrecy_KS ).
thf(func_def_173,type,
sK81: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_174,type,
sK82: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_175,type,
sK83: secrecy_specID > secrecy_Secrets > secrecy_chanID ).
thf(func_def_176,type,
sK84: set_Secrecy_specID > secrecy_specID ).
thf(func_def_177,type,
sK85: set_Secrecy_specID > secrecy_specID ).
thf(f1,axiom,
correctCompositionKS @ pq,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_cCompKS) ).
thf(f2,axiom,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_notKSQ) ).
thf(f3,axiom,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_notKSP) ).
thf(f4,axiom,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_subPQ) ).
thf(f8,axiom,
! [X3: secrecy_KS,X2: secrecy_specID,X1: secrecy_specID,X0: secrecy_specID] :
( ( ( subcomponents @ X0 )
= ( insert1671894227specID @ X1 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionKS @ X0 )
=> ( ( member_Secrecy_KS @ X3 @ ( specKeysSecrets @ X0 ) )
=> ( ( member_Secrecy_KS @ X3 @ ( specKeysSecrets @ X2 ) )
| ( member_Secrecy_KS @ X3 @ ( specKeysSecrets @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_correctCompositionKS__PQ) ).
thf(f356,conjecture,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f476,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
inference(rectify,[],[f3]) ).
thf(f477,plain,
( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) )
!= $true ),
inference(fool_elimination,[],[f476]) ).
thf(f556,plain,
correctCompositionKS @ pq,
inference(rectify,[],[f1]) ).
thf(f557,plain,
( ( correctCompositionKS @ pq )
= $true ),
inference(fool_elimination,[],[f556]) ).
thf(f635,plain,
~ ~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) ),
inference(rectify,[],[f357]) ).
thf(f636,plain,
~ ( ( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) )
!= $true ) ),
inference(fool_elimination,[],[f635]) ).
thf(f866,plain,
! [X0: secrecy_KS,X1: secrecy_specID,X2: secrecy_specID,X3: secrecy_specID] :
( ( ( subcomponents @ X3 )
= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X1 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionKS @ X3 )
=> ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X3 ) )
=> ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X1 ) )
| ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X2 ) ) ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f867,plain,
! [X1: secrecy_specID,X2: secrecy_specID,X3: secrecy_specID,X0: secrecy_KS] :
( ( ( subcomponents @ X3 )
= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X1 @ bot_bo1785112429specID ) ) )
=> ( ( $true
= ( correctCompositionKS @ X3 ) )
=> ( ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X3 ) )
= $true )
=> ( ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X1 ) )
= $true )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X2 ) )
= $true ) ) ) ) ),
inference(fool_elimination,[],[f866]) ).
thf(f889,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
inference(rectify,[],[f2]) ).
thf(f890,plain,
( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) )
!= $true ),
inference(fool_elimination,[],[f889]) ).
thf(f955,plain,
( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) )
!= $true ),
inference(flattening,[],[f477]) ).
thf(f989,plain,
( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) )
= $true ),
inference(flattening,[],[f636]) ).
thf(f1063,plain,
( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) )
!= $true ),
inference(flattening,[],[f890]) ).
thf(f1100,plain,
! [X1: secrecy_specID,X2: secrecy_specID,X3: secrecy_specID,X0: secrecy_KS] :
( ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X1 ) )
= $true )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X2 ) )
= $true )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X3 ) )
!= $true )
| ( $true
!= ( correctCompositionKS @ X3 ) )
| ( ( subcomponents @ X3 )
!= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X1 @ bot_bo1785112429specID ) ) ) ),
inference(ennf_transformation,[],[f867]) ).
thf(f1101,plain,
! [X0: secrecy_KS,X3: secrecy_specID,X2: secrecy_specID,X1: secrecy_specID] :
( ( $true
!= ( correctCompositionKS @ X3 ) )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X2 ) )
= $true )
| ( ( subcomponents @ X3 )
!= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X1 @ bot_bo1785112429specID ) ) )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X3 ) )
!= $true )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X1 ) )
= $true ) ),
inference(flattening,[],[f1100]) ).
thf(f1461,plain,
! [X0: secrecy_KS,X1: secrecy_specID,X2: secrecy_specID,X3: secrecy_specID] :
( ( ( correctCompositionKS @ X1 )
!= $true )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X2 ) )
= $true )
| ( ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X3 @ bot_bo1785112429specID ) )
!= ( subcomponents @ X1 ) )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X1 ) )
!= $true )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X3 ) )
= $true ) ),
inference(rectify,[],[f1101]) ).
thf(f1820,plain,
( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) )
= $true ),
inference(cnf_transformation,[],[f989]) ).
thf(f1915,plain,
! [X2: secrecy_specID,X3: secrecy_specID,X0: secrecy_KS,X1: secrecy_specID] :
( ( ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X3 @ bot_bo1785112429specID ) )
!= ( subcomponents @ X1 ) )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X1 ) )
!= $true )
| ( ( correctCompositionKS @ X1 )
!= $true )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X3 ) )
= $true )
| ( ( member_Secrecy_KS @ X0 @ ( specKeysSecrets @ X2 ) )
= $true ) ),
inference(cnf_transformation,[],[f1461]) ).
thf(f2255,plain,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f2308,plain,
( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) )
!= $true ),
inference(cnf_transformation,[],[f955]) ).
thf(f2350,plain,
( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) )
!= $true ),
inference(cnf_transformation,[],[f1063]) ).
thf(f2387,plain,
( ( correctCompositionKS @ pq )
= $true ),
inference(cnf_transformation,[],[f557]) ).
thf(f2677,definition,
( spl86_12
<=> ( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl86_12])],[avatar_definition]) ).
thf(f2679,plain,
( ( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) )
!= $true )
| spl86_12 ),
inference(avatar_component_clause,[],[f2677]) ).
thf(f2680,plain,
~ spl86_12,
inference(avatar_split_clause,[],[f2350,f2677]) ).
thf(f2697,definition,
( spl86_16
<=> ( ( correctCompositionKS @ pq )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl86_16])],[avatar_definition]) ).
thf(f2699,plain,
( ( ( correctCompositionKS @ pq )
= $true )
| ~ spl86_16 ),
inference(avatar_component_clause,[],[f2697]) ).
thf(f2700,plain,
spl86_16,
inference(avatar_split_clause,[],[f2387,f2697]) ).
thf(f2717,definition,
( spl86_20
<=> ( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl86_20])],[avatar_definition]) ).
thf(f2719,plain,
( ( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) )
= $true )
| ~ spl86_20 ),
inference(avatar_component_clause,[],[f2717]) ).
thf(f2720,plain,
spl86_20,
inference(avatar_split_clause,[],[f1820,f2717]) ).
thf(f2771,definition,
( spl86_31
<=> ( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl86_31])],[avatar_definition]) ).
thf(f2773,plain,
( ( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) )
!= $true )
| spl86_31 ),
inference(avatar_component_clause,[],[f2771]) ).
thf(f2774,plain,
~ spl86_31,
inference(avatar_split_clause,[],[f2308,f2771]) ).
thf(f2812,definition,
( spl86_39
<=> ( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ) ),
introduced(definition,[new_symbols(definition,[spl86_39])],[avatar_definition]) ).
thf(f2814,plain,
( ( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) )
| ~ spl86_39 ),
inference(avatar_component_clause,[],[f2812]) ).
thf(f2815,plain,
spl86_39,
inference(avatar_split_clause,[],[f2255,f2812]) ).
thf(f2834,plain,
( ! [X0: secrecy_specID,X1: secrecy_KS] :
( ( ( member_Secrecy_KS @ X1 @ ( specKeysSecrets @ q ) )
= $true )
| ( ( correctCompositionKS @ X0 )
!= $true )
| ( ( member_Secrecy_KS @ X1 @ ( specKeysSecrets @ p ) )
= $true )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( $true
!= ( member_Secrecy_KS @ X1 @ ( specKeysSecrets @ X0 ) ) ) )
| ~ spl86_39 ),
inference(superposition,[],[f1915,f2814]) ).
thf(f2893,plain,
( ! [X0: secrecy_specID] :
( ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( $true
!= ( member_Secrecy_KS @ m @ ( specKeysSecrets @ X0 ) ) )
| ( ( correctCompositionKS @ X0 )
!= $true )
| ( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) )
= $true )
| ( $true != $true ) )
| spl86_12
| ~ spl86_39 ),
inference(superposition,[],[f2679,f2834]) ).
thf(f2894,plain,
( ! [X0: secrecy_specID] :
( ( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) )
= $true )
| ( ( correctCompositionKS @ X0 )
!= $true )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( $true
!= ( member_Secrecy_KS @ m @ ( specKeysSecrets @ X0 ) ) ) )
| spl86_12
| ~ spl86_39 ),
inference(trivial_inequality_removal,[],[f2893]) ).
thf(f2895,plain,
( ! [X0: secrecy_specID] :
( ( $true
!= ( member_Secrecy_KS @ m @ ( specKeysSecrets @ X0 ) ) )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( ( correctCompositionKS @ X0 )
!= $true ) )
| spl86_12
| spl86_31
| ~ spl86_39 ),
inference(forward_subsumption_resolution,[],[f2894,f2773]) ).
thf(f2913,plain,
( ( $true != $true )
| ( ( correctCompositionKS @ pq )
!= $true )
| ( ( subcomponents @ pq )
!= ( subcomponents @ pq ) )
| spl86_12
| ~ spl86_20
| spl86_31
| ~ spl86_39 ),
inference(superposition,[],[f2895,f2719]) ).
thf(f2919,plain,
( ( ( correctCompositionKS @ pq )
!= $true )
| spl86_12
| ~ spl86_20
| spl86_31
| ~ spl86_39 ),
inference(trivial_inequality_removal,[],[f2913]) ).
thf(f2925,plain,
( $false
| spl86_12
| ~ spl86_16
| ~ spl86_20
| spl86_31
| ~ spl86_39 ),
inference(forward_subsumption_resolution,[],[f2919,f2699]) ).
thf(f2926,plain,
( spl86_12
| ~ spl86_16
| ~ spl86_20
| spl86_31
| ~ spl86_39 ),
inference(avatar_contradiction_clause,[],[f2925]) ).
cnf(s16,plain,
~ spl86_12,
inference(sat_conversion,[],[f2680]) ).
cnf(s20,plain,
spl86_16,
inference(sat_conversion,[],[f2700]) ).
cnf(s24,plain,
spl86_20,
inference(sat_conversion,[],[f2720]) ).
cnf(s37,plain,
~ spl86_31,
inference(sat_conversion,[],[f2774]) ).
cnf(s51,plain,
spl86_39,
inference(sat_conversion,[],[f2815]) ).
cnf(s60,plain,
( spl86_12
| ~ spl86_16
| ~ spl86_20
| spl86_31
| ~ spl86_39 ),
inference(sat_conversion,[],[f2926]) ).
cnf(s62,plain,
spl86_12,
inference(rat,[],[s60,s51,s37,s24,s20]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s16,s62]) ).
thf(f2927,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP087^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.29 % Computer : n004.cluster.edu
% 0.22/0.29 % Model : x86_64 x86_64
% 0.22/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.29 % Memory : 8046.5625MB
% 0.22/0.29 % OS : Linux 6.8.0-71-generic
% 0.22/0.29 % CPULimit : 300
% 0.22/0.29 % WCLimit : 300
% 0.22/0.29 % DateTime : Tue Sep 29 19:50:23 UTC 2026
% 0.22/0.29 % CPUTime :
% 0.22/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.35 Running higher-order theorem proving
% 0.30/0.46 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
% 1.13/0.68 % (1751621)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.13/0.68 % (1751632)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.13/0.68 % (1751632)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
% 1.13/0.68 % (1751632)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=2477216503:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.13/0.68 % (1751626)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4080659824:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.13/0.68 % (1751628)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1201176997:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.13/0.68 % (1751627)lrs+10_16_si=on:nwc=1.5:random_seed=1805428677:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.13/0.68 % (1751629)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=1100919550: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)
% 1.13/0.68 % (1751631)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3751148705:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.13/0.68 % (1751630)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2376939016:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.13/0.68 % (1751628)Instruction limit reached!
% 1.13/0.68 % (1751628)------------------------------
% 1.13/0.68 % (1751628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.68 % (1751628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.68 % (1751628)CaDiCaL version: 2.1.3
% 1.13/0.68 % (1751628)Termination reason: Instruction limit
% 1.13/0.68 % (1751628)Termination phase: shuffling
% 1.13/0.68 % (1751628)Time elapsed: 0.004 s
% 1.13/0.68 % (1751628)Peak memory usage: 10 MB
% 1.13/0.68 % (1751628)Instructions burned: 3 (million)
% 1.13/0.68 % (1751627)Instruction limit reached!
% 1.13/0.68 % (1751627)------------------------------
% 1.13/0.68 % (1751627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.68 % (1751627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.68 % (1751627)CaDiCaL version: 2.1.3
% 1.13/0.68 % (1751627)Termination reason: Instruction limit
% 1.13/0.68 % (1751627)Termination phase: shuffling
% 1.13/0.68 % (1751627)Time elapsed: 0.016 s
% 1.13/0.68 % (1751627)Peak memory usage: 10 MB
% 1.13/0.68 % (1751627)Instructions burned: 19 (million)
% 1.13/0.68 % (1751630)Instruction limit reached!
% 1.13/0.68 % (1751630)------------------------------
% 1.13/0.68 % (1751630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.68 % (1751630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.68 % (1751630)CaDiCaL version: 2.1.3
% 1.13/0.68 % (1751630)Termination reason: Instruction limit
% 1.13/0.68 % (1751630)Termination phase: shuffling
% 1.13/0.68 % (1751630)Time elapsed: 0.021 s
% 1.13/0.68 % (1751630)Peak memory usage: 10 MB
% 1.13/0.68 % (1751630)Instructions burned: 24 (million)
% 1.13/0.68 % (1751642)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2745525350:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.13/0.68 % (1751642)Instruction limit reached!
% 1.13/0.68 % (1751642)------------------------------
% 1.13/0.68 % (1751642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.13/0.68 % (1751642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.13/0.68 % (1751642)CaDiCaL version: 2.1.3
% 1.13/0.68 % (1751642)Termination reason: Instruction limit
% 1.13/0.68 % (1751642)Termination phase: shuffling
% 1.13/0.68 % (1751642)Time elapsed: 0.003 s
% 1.13/0.68 % (1751642)Peak memory usage: 10 MB
% 1.13/0.68 % (1751642)Instructions burned: 2 (million)
% 1.13/0.68 % (1751643)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2405398233:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.63/0.71 % (1751644)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.63/0.71 % (1751643)Instruction limit reached!
% 1.63/0.71 % (1751643)------------------------------
% 1.63/0.71 % (1751643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (1751643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (1751643)CaDiCaL version: 2.1.3
% 1.63/0.71 % (1751643)Termination reason: Instruction limit
% 1.63/0.71 % (1751643)Termination phase: shuffling
% 1.63/0.71 % (1751643)Time elapsed: 0.005 s
% 1.63/0.71 % (1751643)Peak memory usage: 10 MB
% 1.63/0.71 % (1751643)Instructions burned: 5 (million)
% 1.63/0.71 % (1751632)Instruction limit reached!
% 1.63/0.71 % (1751632)------------------------------
% 1.63/0.71 % (1751632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (1751632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (1751632)CaDiCaL version: 2.1.3
% 1.63/0.71 % (1751632)Termination reason: Instruction limit
% 1.63/0.71 % (1751632)Termination phase: Saturation
% 1.63/0.71 % (1751632)Time elapsed: 0.068 s
% 1.63/0.71 % (1751632)Peak memory usage: 13 MB
% 1.63/0.71 % (1751632)Instructions burned: 158 (million)
% 1.63/0.71 % (1751644)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1631335255:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.63/0.71 % (1751646)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=538637662:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.63/0.71 % (1751626)Instruction limit reached!
% 1.63/0.71 % (1751626)------------------------------
% 1.63/0.71 % (1751626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (1751626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (1751626)CaDiCaL version: 2.1.3
% 1.63/0.71 % (1751626)Termination reason: Instruction limit
% 1.63/0.71 % (1751626)Termination phase: Property scanning
% 1.63/0.71 % (1751626)Time elapsed: 0.075 s
% 1.63/0.71 % (1751626)Peak memory usage: 12 MB
% 1.63/0.71 % (1751626)Instructions burned: 88 (million)
% 1.63/0.71 % (1751644)Instruction limit reached!
% 1.63/0.71 % (1751644)------------------------------
% 1.63/0.71 % (1751644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (1751644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (1751644)CaDiCaL version: 2.1.3
% 1.63/0.71 % (1751644)Termination reason: Instruction limit
% 1.63/0.71 % (1751644)Termination phase: shuffling
% 1.63/0.71 % (1751644)Time elapsed: 0.006 s
% 1.63/0.71 % (1751644)Peak memory usage: 10 MB
% 1.63/0.71 % (1751644)Instructions burned: 7 (million)
% 1.63/0.71 % (1751631)Instruction limit reached!
% 1.63/0.71 % (1751631)------------------------------
% 1.63/0.71 % (1751631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (1751631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (1751631)CaDiCaL version: 2.1.3
% 1.63/0.71 % (1751631)Termination reason: Instruction limit
% 1.63/0.71 % (1751631)Termination phase: Preprocessing 3
% 1.63/0.71 % (1751631)Time elapsed: 0.065 s
% 1.63/0.71 % (1751631)Peak memory usage: 12 MB
% 1.63/0.71 % (1751631)Instructions burned: 76 (million)
% 1.63/0.71 % (1751646)Instruction limit reached!
% 1.63/0.71 % (1751646)------------------------------
% 1.63/0.71 % (1751646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (1751646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (1751646)CaDiCaL version: 2.1.3
% 1.63/0.71 % (1751646)Termination reason: Instruction limit
% 1.63/0.71 % (1751646)Termination phase: shuffling
% 1.63/0.71 % (1751646)Time elapsed: 0.007 s
% 1.63/0.71 % (1751646)Peak memory usage: 10 MB
% 1.63/0.71 % (1751646)Instructions burned: 13 (million)
% 1.63/0.71 % (1751649)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=3273229932:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.63/0.71 % (1751648)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
% 1.63/0.74 % (1751648)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.63/0.74 % (1751648)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3579703655:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.63/0.74 % (1751655)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3156242916:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.63/0.74 % (1751653)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.63/0.74 % (1751652)lrs+10_1_si=on:cs=on:random_seed=1492205456:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.63/0.74 % (1751653)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=2956883378:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.63/0.74 % (1751654)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1109993918:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.63/0.74 % (1751653)Instruction limit reached!
% 1.63/0.74 % (1751653)------------------------------
% 1.63/0.74 % (1751653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751653)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751653)Termination reason: Instruction limit
% 1.63/0.74 % (1751653)Termination phase: shuffling
% 1.63/0.74 % (1751653)Time elapsed: 0.003 s
% 1.63/0.74 % (1751653)Peak memory usage: 10 MB
% 1.63/0.74 % (1751653)Instructions burned: 3 (million)
% 1.63/0.74 % (1751652)Instruction limit reached!
% 1.63/0.74 % (1751652)------------------------------
% 1.63/0.74 % (1751652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751652)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751652)Termination reason: Instruction limit
% 1.63/0.74 % (1751652)Termination phase: shuffling
% 1.63/0.74 % (1751652)Time elapsed: 0.008 s
% 1.63/0.74 % (1751652)Peak memory usage: 10 MB
% 1.63/0.74 % (1751652)Instructions burned: 9 (million)
% 1.63/0.74 % (1751649)Instruction limit reached!
% 1.63/0.74 % (1751649)------------------------------
% 1.63/0.74 % (1751649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751649)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751649)Termination reason: Instruction limit
% 1.63/0.74 % (1751649)Termination phase: Property scanning
% 1.63/0.74 % (1751649)Time elapsed: 0.037 s
% 1.63/0.74 % (1751649)Peak memory usage: 11 MB
% 1.63/0.74 % (1751649)Instructions burned: 86 (million)
% 1.63/0.74 % (1751648)Instruction limit reached!
% 1.63/0.74 % (1751648)------------------------------
% 1.63/0.74 % (1751648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751648)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751648)Termination reason: Instruction limit
% 1.63/0.74 % (1751648)Termination phase: shuffling
% 1.63/0.74 % (1751648)Time elapsed: 0.024 s
% 1.63/0.74 % (1751648)Peak memory usage: 11 MB
% 1.63/0.74 % (1751648)Instructions burned: 28 (million)
% 1.63/0.74 % (1751662)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1259198504:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.63/0.74 % (1751665)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1503912266:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.63/0.74 % (1751654)Instruction limit reached!
% 1.63/0.74 % (1751654)------------------------------
% 1.63/0.74 % (1751654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751654)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751654)Termination reason: Instruction limit
% 1.63/0.74 % (1751654)Termination phase: Property scanning
% 1.63/0.74 % (1751654)Time elapsed: 0.032 s
% 1.63/0.74 % (1751654)Peak memory usage: 10 MB
% 1.63/0.74 % (1751654)Instructions burned: 38 (million)
% 1.63/0.74 % (1751662)Instruction limit reached!
% 1.63/0.74 % (1751662)------------------------------
% 1.63/0.74 % (1751662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751662)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751662)Termination reason: Instruction limit
% 1.63/0.74 % (1751662)Termination phase: Property scanning
% 1.63/0.74 % (1751662)Time elapsed: 0.013 s
% 1.63/0.74 % (1751662)Peak memory usage: 11 MB
% 1.63/0.74 % (1751662)Instructions burned: 26 (million)
% 1.63/0.74 % (1751663)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3478741510:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.63/0.74 % (1751665)Instruction limit reached!
% 1.63/0.74 % (1751665)------------------------------
% 1.63/0.74 % (1751665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751665)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751665)Termination reason: Instruction limit
% 1.63/0.74 % (1751665)Termination phase: shuffling
% 1.63/0.74 % (1751665)Time elapsed: 0.007 s
% 1.63/0.74 % (1751665)Peak memory usage: 10 MB
% 1.63/0.74 % (1751665)Instructions burned: 15 (million)
% 1.63/0.74 % (1751664)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2477455322:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.63/0.74 % (1751655)Refutation not found, incomplete strategy
% 1.63/0.74 % (1751655)------------------------------
% 1.63/0.74 % (1751655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751655)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751655)Termination reason: Refutation not found, incomplete strategy
% 1.63/0.74 % (1751655)Time elapsed: 0.054 s
% 1.63/0.74 % (1751655)Peak memory usage: 13 MB
% 1.63/0.74 % (1751655)Instructions burned: 68 (million)
% 1.63/0.74 % (1751655)------------------------------
% 1.63/0.74 % (1751655)------------------------------
% 1.63/0.74 % (1751663)Instruction limit reached!
% 1.63/0.74 % (1751663)------------------------------
% 1.63/0.74 % (1751663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751663)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751663)Termination reason: Instruction limit
% 1.63/0.74 % (1751663)Termination phase: shuffling
% 1.63/0.74 % (1751663)Time elapsed: 0.012 s
% 1.63/0.74 % (1751663)Peak memory usage: 10 MB
% 1.63/0.74 % (1751663)Instructions burned: 14 (million)
% 1.63/0.74 % (1751671)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1419606286:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.63/0.74 % (1751670)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1127871969:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.63/0.74 % (1751668)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1610841255:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 1.63/0.74 % (1751671)Instruction limit reached!
% 1.63/0.74 % (1751671)------------------------------
% 1.63/0.74 % (1751671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751671)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751671)Termination reason: Instruction limit
% 1.63/0.74 % (1751671)Termination phase: shuffling
% 1.63/0.74 % (1751671)Time elapsed: 0.011 s
% 1.63/0.74 % (1751671)Peak memory usage: 10 MB
% 1.63/0.74 % (1751671)Instructions burned: 24 (million)
% 1.63/0.74 % (1751668)Instruction limit reached!
% 1.63/0.74 % (1751668)------------------------------
% 1.63/0.74 % (1751668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751668)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751668)Termination reason: Instruction limit
% 1.63/0.74 % (1751668)Termination phase: shuffling
% 1.63/0.74 % (1751668)Time elapsed: 0.003 s
% 1.63/0.74 % (1751668)Peak memory usage: 10 MB
% 1.63/0.74 % (1751668)Instructions burned: 3 (million)
% 1.63/0.74 % (1751674)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
% 1.63/0.74 % (1751674)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.63/0.74 % (1751674)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=2660057660:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.63/0.74 % (1751673)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=589547267:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.63/0.74 % (1751670)Instruction limit reached!
% 1.63/0.74 % (1751670)------------------------------
% 1.63/0.74 % (1751670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751670)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751670)Termination reason: Instruction limit
% 1.63/0.74 % (1751670)Termination phase: shuffling
% 1.63/0.74 % (1751670)Time elapsed: 0.022 s
% 1.63/0.74 % (1751670)Peak memory usage: 10 MB
% 1.63/0.74 % (1751670)Instructions burned: 26 (million)
% 1.63/0.74 % (1751678)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.63/0.74 % (1751674)Instruction limit reached!
% 1.63/0.74 % (1751674)------------------------------
% 1.63/0.74 % (1751674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751674)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751674)Termination reason: Instruction limit
% 1.63/0.74 % (1751674)Termination phase: shuffling
% 1.63/0.74 % (1751674)Time elapsed: 0.008 s
% 1.63/0.74 % (1751674)Peak memory usage: 10 MB
% 1.63/0.74 % (1751674)Instructions burned: 16 (million)
% 1.63/0.74 % (1751678)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=3554489527:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.63/0.74 % (1751629) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1751621-1751629"...
% 1.63/0.74 % (1751678)Instruction limit reached!
% 1.63/0.74 % (1751678)------------------------------
% 1.63/0.74 % (1751678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751678)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751678)Termination reason: Instruction limit
% 1.63/0.74 % (1751678)Termination phase: shuffling
% 1.63/0.74 % (1751678)Time elapsed: 0.004 s
% 1.63/0.74 % (1751678)Peak memory usage: 10 MB
% 1.63/0.74 % (1751678)Instructions burned: 9 (million)
% 1.63/0.74 % (1751629)...printing done.
% 1.63/0.74 % (1751629)Refutation found. Thanks to Tanya!
% 1.63/0.74 % SZS status Theorem for theBenchmark
% 1.63/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.74 % (1751629)------------------------------
% 1.63/0.74 % (1751629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.74 % (1751629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.74 % (1751629)CaDiCaL version: 2.1.3
% 1.63/0.74 % (1751629)Termination reason: Refutation
% 1.63/0.74 % (1751629)Time elapsed: 0.191 s
% 1.63/0.74 % (1751629)Peak memory usage: 15 MB
% 1.63/0.74 % (1751629)Instructions burned: 219 (million)
% 1.63/0.74 % (1751621)Success in time 0.269 s
% 1.63/0.74 % Vampire exiting
%------------------------------------------------------------------------------