%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP089^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 0.28s 0.45s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 82 ( 49 unt; 0 typ; 7 def)
% Number of atoms : 408 ( 113 equ; 0 cnn)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 694 ( 117 ~; 107 |; 0 &; 439 @)
% ( 7 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 189 ( 186 usr; 19 con; 0-4 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?; 39 :)
% 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,
eout: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_22,type,
eoutM: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_23,type,
exprChannel: secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_24,type,
ine: secrecy_specID > secrecy_Expression > $o ).
thf(func_def_25,type,
ineM: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_26,type,
ine_exprChannelSet: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_27,type,
ine_ex1303305700Single: secrecy_specID > secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_28,type,
notSpe1586871396tsExpr: secrecy_specID > list_S529945141ession > $o ).
thf(func_def_29,type,
out_exprChannelSet: secrecy_specID > set_Secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_30,type,
out_ex985543062Single: secrecy_specID > secrecy_chanID > secrecy_Expression > $o ).
thf(func_def_31,type,
specKeys: secrecy_specID > set_Secrecy_Keys ).
thf(func_def_32,type,
specKeysSecrets: secrecy_specID > set_Secrecy_KS ).
thf(func_def_33,type,
specSecrets: secrecy_specID > set_Secrecy_Secrets ).
thf(func_def_34,type,
secrecy_kE: secrecy_Keys > secrecy_Expression ).
thf(func_def_35,type,
secrecy_sE: secrecy_Secrets > secrecy_Expression ).
thf(func_def_36,type,
secrec1016742679ession: secrecy_KS > secrecy_Expression ).
thf(func_def_37,type,
secrecy_kKS: secrecy_Keys > secrecy_KS ).
thf(func_def_38,type,
secrecy_sKS: secrecy_Secrets > secrecy_KS ).
thf(func_def_39,type,
collect_Secrecy_KS: ( secrecy_KS > $o ) > set_Secrecy_KS ).
thf(func_def_40,type,
collect_Secrecy_Keys: ( secrecy_Keys > $o ) > set_Secrecy_Keys ).
thf(func_def_41,type,
collec836099393ecrets: ( secrecy_Secrets > $o ) > set_Secrecy_Secrets ).
thf(func_def_42,type,
collec625564175chanID: ( secrecy_chanID > $o ) > set_Secrecy_chanID ).
thf(func_def_43,type,
collec1545797240specID: ( secrecy_specID > $o ) > set_Secrecy_specID ).
thf(func_def_44,type,
insert_Secrecy_KS: secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_45,type,
insert_Secrecy_Keys: secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_46,type,
insert565337510ecrets: secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_47,type,
insert751661162chanID: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_48,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_49,type,
is_emp928984296chanID: set_Secrecy_chanID > $o ).
thf(func_def_50,type,
is_emp1849217361specID: set_Secrecy_specID > $o ).
thf(func_def_51,type,
is_sin1442426433ecy_KS: set_Secrecy_KS > $o ).
thf(func_def_52,type,
is_sin1096471309y_Keys: set_Secrecy_Keys > $o ).
thf(func_def_53,type,
is_sin1002224330ecrets: set_Secrecy_Secrets > $o ).
thf(func_def_54,type,
is_sin581274182chanID: set_Secrecy_chanID > $o ).
thf(func_def_55,type,
is_sin1501507247specID: set_Secrecy_specID > $o ).
thf(func_def_56,type,
the_el2054381829chanID: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_57,type,
the_el827131246specID: set_Secrecy_specID > secrecy_specID ).
thf(func_def_58,type,
correctCompositionIn: secrecy_specID > $o ).
thf(func_def_59,type,
correc965049635ionLoc: secrecy_specID > $o ).
thf(func_def_60,type,
correc990227761ionOut: secrecy_specID > $o ).
thf(func_def_61,type,
inStream: secrecy_specID > set_Secrecy_chanID > $o ).
thf(func_def_62,type,
ins: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_63,type,
loc: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_64,type,
locStream: secrecy_specID > set_Secrecy_chanID > $o ).
thf(func_def_65,type,
out: secrecy_specID > set_Secrecy_chanID ).
thf(func_def_66,type,
outStream: secrecy_specID > set_Secrecy_chanID > $o ).
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,
m: secrecy_KS ).
thf(func_def_77,type,
secret: secrecy_Secrets ).
thf(func_def_81,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_82,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_83,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_84,type,
vAND: $o > $o > $o ).
thf(func_def_85,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_86,type,
vIMP: $o > $o > $o ).
thf(func_def_87,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_88,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_89,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_90,type,
vNOT: $o > $o ).
thf(func_def_91,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_92,type,
sK0: set_Secrecy_specID > secrecy_specID ).
thf(func_def_93,type,
sK1: secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_94,type,
sK2: set_Secrecy_specID > secrecy_specID ).
thf(func_def_95,type,
sK3: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_96,type,
sK4: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_97,type,
sK5: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_98,type,
sK6: set_Secrecy_KS > secrecy_KS ).
thf(func_def_99,type,
sK7: set_Secrecy_specID > secrecy_specID ).
thf(func_def_100,type,
sK8: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_101,type,
sK9: secrecy_KS > secrecy_Secrets ).
thf(func_def_102,type,
sK10: secrecy_KS > secrecy_Keys ).
thf(func_def_103,type,
sK11: secrecy_KS > secrecy_specID > secrecy_specID > secrecy_Secrets ).
thf(func_def_104,type,
sK12: secrecy_KS > secrecy_specID > secrecy_specID > secrecy_Keys ).
thf(func_def_105,type,
sK13: set_Secrecy_specID > secrecy_specID > set_Secrecy_specID ).
thf(func_def_106,type,
sK14: set_Secrecy_chanID > secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_107,type,
sK15: secrecy_Secrets > secrecy_specID > secrecy_chanID ).
thf(func_def_108,type,
sK16: set_Secrecy_specID > secrecy_specID > set_Secrecy_specID ).
thf(func_def_109,type,
sK17: secrecy_specID > secrecy_Keys > secrecy_chanID ).
thf(func_def_110,type,
sK18: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_111,type,
sK19: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_112,type,
sK20: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_113,type,
sK21: secrecy_specID > secrecy_Keys > secrecy_chanID ).
thf(func_def_114,type,
sK22: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_115,type,
sK23: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_116,type,
sK24: set_Secrecy_Secrets > secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_117,type,
sK25: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_118,type,
sK26: secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_119,type,
sK27: ( secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_120,type,
sK28: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_121,type,
sK29: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_122,type,
sK30: ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_123,type,
sK31: set_Secrecy_KS > secrecy_KS > set_Secrecy_KS ).
thf(func_def_124,type,
sK32: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID > secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_125,type,
sK33: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_126,type,
sK34: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_127,type,
sK35: ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_128,type,
sK36: ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_129,type,
sK37: ( secrecy_KS > $o ) > set_Secrecy_KS > set_Secrecy_KS > secrecy_KS ).
thf(func_def_130,type,
sK38: set_Secrecy_chanID > ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_131,type,
sK39: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_132,type,
sK40: set_Secrecy_chanID > ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_133,type,
sK41: secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Secrets ).
thf(func_def_134,type,
sK42: secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Keys ).
thf(func_def_135,type,
sK43: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_136,type,
sK44: ( secrecy_KS > $o ) > secrecy_Secrets ).
thf(func_def_137,type,
sK45: ( secrecy_KS > $o ) > secrecy_Keys ).
thf(func_def_138,type,
sK46: secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_139,type,
sK47: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_140,type,
sK48: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_141,type,
sK49: ( secrecy_chanID > $o ) > set_Secrecy_chanID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_142,type,
sK50: set_Secrecy_KS > secrecy_KS ).
thf(func_def_143,type,
sK51: set_Secrecy_specID > secrecy_specID ).
thf(func_def_144,type,
sK52: set_Secrecy_Secrets > secrecy_Secrets > secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_145,type,
sK53: set_Secrecy_specID > secrecy_specID ).
thf(func_def_146,type,
sK54: set_Secrecy_specID > secrecy_specID ).
thf(func_def_147,type,
sK55: set_Secrecy_KS > secrecy_KS ).
thf(func_def_148,type,
sK56: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_149,type,
sK57: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_150,type,
sK58: secrecy_Keys > set_Secrecy_Keys > secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_151,type,
sK59: set_Secrecy_chanID > secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_152,type,
sK60: ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_153,type,
sK61: secrecy_Keys > secrecy_specID > secrecy_specID ).
thf(func_def_154,type,
sK62: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_155,type,
sK63: secrecy_specID > secrecy_Expression > secrecy_chanID ).
thf(func_def_156,type,
sK64: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_157,type,
sK65: ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_158,type,
sK66: ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_159,type,
sK67: ( secrecy_KS > $o ) > set_Secrecy_KS > set_Secrecy_KS > secrecy_KS ).
thf(func_def_160,type,
sK68: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_161,type,
sK69: secrecy_specID > secrecy_specID > set_Secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_162,type,
sK70: secrecy_specID > secrecy_Secrets > secrecy_specID ).
thf(func_def_163,type,
sK71: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_164,type,
sK72: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_165,type,
sK73: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_166,type,
sK74: set_Secrecy_KS > secrecy_KS ).
thf(func_def_167,type,
sK75: set_Secrecy_KS > secrecy_KS ).
thf(func_def_168,type,
sK76: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_169,type,
sK77: secrecy_Secrets > secrecy_specID > secrecy_chanID ).
thf(func_def_170,type,
sK78: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_171,type,
sK79: set_Secrecy_KS > secrecy_KS > set_Secrecy_KS ).
thf(func_def_172,type,
sK80: ( secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_173,type,
sK81: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_174,type,
sK82: set_Secrecy_KS > secrecy_KS > set_Secrecy_KS > secrecy_KS > set_Secrecy_KS ).
thf(func_def_175,type,
sK83: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_176,type,
sK84: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_178,type,
inv_secrecy_sKS_86: secrecy_KS > secrecy_Secrets ).
thf(func_def_179,type,
inv_secrecy_kKS_87: secrecy_KS > secrecy_Keys ).
thf(func_def_180,type,
inv_secrecy_kE_88: secrecy_Expression > secrecy_Keys ).
thf(func_def_181,type,
inv_secrecy_sE_89: secrecy_Expression > secrecy_Secrets ).
thf(f1,axiom,
correc965049635ionLoc @ pq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_cCompLoc) ).
thf(f2,axiom,
~ ( ine @ p @ ( secrecy_sE @ secret ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_sg1a) ).
thf(f3,axiom,
~ ( ine @ q @ ( secrecy_sE @ secret ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_sg2a) ).
thf(f4,axiom,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_sg1b) ).
thf(f5,axiom,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_sg2b) ).
thf(f6,axiom,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_subPQ) ).
thf(f16,axiom,
! [X2: secrecy_specID,X1: secrecy_specID,X3: secrecy_Secrets,X0: secrecy_specID] :
( ( ( subcomponents @ X0 )
= ( insert1671894227specID @ X1 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) ) )
=> ( ( correc965049635ionLoc @ X0 )
=> ( ~ ( ine @ X1 @ ( secrecy_sE @ X3 ) )
=> ( ~ ( ine @ X2 @ ( secrecy_sE @ X3 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X3 ) @ ( localSecrets @ X1 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X3 ) @ ( localSecrets @ X2 ) )
=> ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X3 ) @ ( localSecrets @ X0 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_LocalSecretsComposition__neg1__s) ).
thf(f356,conjecture,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f656,plain,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ),
inference(rectify,[],[f4]) ).
thf(f657,plain,
( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
!= $true ),
inference(fool_elimination,[],[f656]) ).
thf(f707,plain,
~ ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) ),
inference(rectify,[],[f357]) ).
thf(f708,plain,
~ ( ( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) )
!= $true ) ),
inference(fool_elimination,[],[f707]) ).
thf(f770,plain,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
inference(rectify,[],[f5]) ).
thf(f771,plain,
( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) )
!= $true ),
inference(fool_elimination,[],[f770]) ).
thf(f825,plain,
~ ( ine @ p @ ( secrecy_sE @ secret ) ),
inference(rectify,[],[f2]) ).
thf(f826,plain,
( ( ine @ p @ ( secrecy_sE @ secret ) )
!= $true ),
inference(fool_elimination,[],[f825]) ).
thf(f852,plain,
correc965049635ionLoc @ pq,
inference(rectify,[],[f1]) ).
thf(f853,plain,
( ( correc965049635ionLoc @ pq )
= $true ),
inference(fool_elimination,[],[f852]) ).
thf(f915,plain,
! [X0: secrecy_specID,X1: secrecy_specID,X2: secrecy_Secrets,X3: secrecy_specID] :
( ( ( subcomponents @ X3 )
= ( insert1671894227specID @ X1 @ ( insert1671894227specID @ X0 @ bot_bo1785112429specID ) ) )
=> ( ( correc965049635ionLoc @ X3 )
=> ( ~ ( ine @ X1 @ ( secrecy_sE @ X2 ) )
=> ( ~ ( ine @ X0 @ ( secrecy_sE @ X2 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X1 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X0 ) )
=> ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X3 ) ) ) ) ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f916,plain,
! [X0: secrecy_specID,X1: secrecy_specID,X2: secrecy_Secrets,X3: secrecy_specID] :
( ( ( subcomponents @ X3 )
= ( insert1671894227specID @ X1 @ ( insert1671894227specID @ X0 @ bot_bo1785112429specID ) ) )
=> ( ( ( correc965049635ionLoc @ X3 )
= $true )
=> ( ( ( ine @ X1 @ ( secrecy_sE @ X2 ) )
!= $true )
=> ( ( $true
!= ( ine @ X0 @ ( secrecy_sE @ X2 ) ) )
=> ( ( $true
!= ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X1 ) ) )
=> ( ( $true
!= ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X0 ) ) )
=> ( ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X3 ) )
!= $true ) ) ) ) ) ) ),
inference(fool_elimination,[],[f915]) ).
thf(f936,plain,
~ ( ine @ q @ ( secrecy_sE @ secret ) ),
inference(rectify,[],[f3]) ).
thf(f937,plain,
( ( ine @ q @ ( secrecy_sE @ secret ) )
!= $true ),
inference(fool_elimination,[],[f936]) ).
thf(f1017,plain,
( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
!= $true ),
inference(flattening,[],[f657]) ).
thf(f1028,plain,
( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) )
= $true ),
inference(flattening,[],[f708]) ).
thf(f1047,plain,
( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) )
!= $true ),
inference(flattening,[],[f771]) ).
thf(f1063,plain,
( ( ine @ p @ ( secrecy_sE @ secret ) )
!= $true ),
inference(flattening,[],[f826]) ).
thf(f1083,plain,
! [X1: secrecy_specID,X3: secrecy_specID,X2: secrecy_Secrets,X0: secrecy_specID] :
( ( ( subcomponents @ X3 )
= ( insert1671894227specID @ X1 @ ( insert1671894227specID @ X0 @ bot_bo1785112429specID ) ) )
=> ( ( ( correc965049635ionLoc @ X3 )
= $true )
=> ( ( ( ine @ X1 @ ( secrecy_sE @ X2 ) )
!= $true )
=> ( ( $true
!= ( ine @ X0 @ ( secrecy_sE @ X2 ) ) )
=> ( ( $true
!= ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X1 ) ) )
=> ( ( $true
!= ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X0 ) ) )
=> ( ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X3 ) )
!= $true ) ) ) ) ) ) ),
inference(flattening,[],[f916]) ).
thf(f1090,plain,
( ( ine @ q @ ( secrecy_sE @ secret ) )
!= $true ),
inference(flattening,[],[f937]) ).
thf(f1173,plain,
! [X1: secrecy_specID,X3: secrecy_specID,X2: secrecy_Secrets,X0: secrecy_specID] :
( ( ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X3 ) )
!= $true )
| ( $true
= ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X0 ) ) )
| ( $true
= ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X1 ) ) )
| ( $true
= ( ine @ X0 @ ( secrecy_sE @ X2 ) ) )
| ( ( ine @ X1 @ ( secrecy_sE @ X2 ) )
= $true )
| ( ( correc965049635ionLoc @ X3 )
!= $true )
| ( ( subcomponents @ X3 )
!= ( insert1671894227specID @ X1 @ ( insert1671894227specID @ X0 @ bot_bo1785112429specID ) ) ) ),
inference(ennf_transformation,[],[f1083]) ).
thf(f1174,plain,
! [X1: secrecy_specID,X3: secrecy_specID,X0: secrecy_specID,X2: secrecy_Secrets] :
( ( ( correc965049635ionLoc @ X3 )
!= $true )
| ( $true
= ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X1 ) ) )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X3 ) )
!= $true )
| ( ( subcomponents @ X3 )
!= ( insert1671894227specID @ X1 @ ( insert1671894227specID @ X0 @ bot_bo1785112429specID ) ) )
| ( ( ine @ X1 @ ( secrecy_sE @ X2 ) )
= $true )
| ( $true
= ( ine @ X0 @ ( secrecy_sE @ X2 ) ) )
| ( $true
= ( member_Secrecy_KS @ ( secrecy_sKS @ X2 ) @ ( localSecrets @ X0 ) ) ) ),
inference(flattening,[],[f1173]) ).
thf(f1433,plain,
! [X0: secrecy_specID,X1: secrecy_specID,X2: secrecy_specID,X3: secrecy_Secrets] :
( ( ( correc965049635ionLoc @ X1 )
!= $true )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ X3 ) @ ( localSecrets @ X0 ) )
= $true )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ X3 ) @ ( localSecrets @ X1 ) )
!= $true )
| ( ( subcomponents @ X1 )
!= ( insert1671894227specID @ X0 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) ) )
| ( ( ine @ X0 @ ( secrecy_sE @ X3 ) )
= $true )
| ( ( ine @ X2 @ ( secrecy_sE @ X3 ) )
= $true )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ X3 ) @ ( localSecrets @ X2 ) )
= $true ) ),
inference(rectify,[],[f1174]) ).
thf(f1841,plain,
( ( ine @ q @ ( secrecy_sE @ secret ) )
!= $true ),
inference(cnf_transformation,[],[f1090]) ).
thf(f1850,plain,
! [X2: secrecy_specID,X3: secrecy_Secrets,X0: secrecy_specID,X1: secrecy_specID] :
( ( ( subcomponents @ X1 )
!= ( insert1671894227specID @ X0 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) ) )
| ( ( ine @ X0 @ ( secrecy_sE @ X3 ) )
= $true )
| ( ( ine @ X2 @ ( secrecy_sE @ X3 ) )
= $true )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ X3 ) @ ( localSecrets @ X0 ) )
= $true )
| ( ( correc965049635ionLoc @ X1 )
!= $true )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ X3 ) @ ( localSecrets @ X2 ) )
= $true )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ X3 ) @ ( localSecrets @ X1 ) )
!= $true ) ),
inference(cnf_transformation,[],[f1433]) ).
thf(f1858,plain,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f1864,plain,
( ( correc965049635ionLoc @ pq )
= $true ),
inference(cnf_transformation,[],[f853]) ).
thf(f1891,plain,
( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) )
= $true ),
inference(cnf_transformation,[],[f1028]) ).
thf(f2022,plain,
( ( ine @ p @ ( secrecy_sE @ secret ) )
!= $true ),
inference(cnf_transformation,[],[f1063]) ).
thf(f2111,plain,
( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
!= $true ),
inference(cnf_transformation,[],[f1017]) ).
thf(f2206,plain,
( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) )
!= $true ),
inference(cnf_transformation,[],[f1047]) ).
thf(f2646,definition,
( spl85_8
<=> ( ( correc965049635ionLoc @ pq )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl85_8])],[avatar_definition]) ).
thf(f2648,plain,
( ( ( correc965049635ionLoc @ pq )
= $true )
| ~ spl85_8 ),
inference(avatar_component_clause,[],[f2646]) ).
thf(f2649,plain,
spl85_8,
inference(avatar_split_clause,[],[f1864,f2646]) ).
thf(f2666,definition,
( spl85_12
<=> ( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ) ),
introduced(definition,[new_symbols(definition,[spl85_12])],[avatar_definition]) ).
thf(f2668,plain,
( ( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) )
| ~ spl85_12 ),
inference(avatar_component_clause,[],[f2666]) ).
thf(f2669,plain,
spl85_12,
inference(avatar_split_clause,[],[f1858,f2666]) ).
thf(f2681,definition,
( spl85_15
<=> ( ( ine @ p @ ( secrecy_sE @ secret ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl85_15])],[avatar_definition]) ).
thf(f2683,plain,
( ( ( ine @ p @ ( secrecy_sE @ secret ) )
!= $true )
| spl85_15 ),
inference(avatar_component_clause,[],[f2681]) ).
thf(f2684,plain,
~ spl85_15,
inference(avatar_split_clause,[],[f2022,f2681]) ).
thf(f2761,definition,
( spl85_31
<=> ( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl85_31])],[avatar_definition]) ).
thf(f2763,plain,
( ( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
!= $true )
| spl85_31 ),
inference(avatar_component_clause,[],[f2761]) ).
thf(f2764,plain,
~ spl85_31,
inference(avatar_split_clause,[],[f2111,f2761]) ).
thf(f2766,definition,
( spl85_32
<=> ( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl85_32])],[avatar_definition]) ).
thf(f2768,plain,
( ( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) )
!= $true )
| spl85_32 ),
inference(avatar_component_clause,[],[f2766]) ).
thf(f2769,plain,
~ spl85_32,
inference(avatar_split_clause,[],[f2206,f2766]) ).
thf(f2816,definition,
( spl85_42
<=> ( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl85_42])],[avatar_definition]) ).
thf(f2818,plain,
( ( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) )
= $true )
| ~ spl85_42 ),
inference(avatar_component_clause,[],[f2816]) ).
thf(f2819,plain,
spl85_42,
inference(avatar_split_clause,[],[f1891,f2816]) ).
thf(f2836,definition,
( spl85_46
<=> ( ( ine @ q @ ( secrecy_sE @ secret ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl85_46])],[avatar_definition]) ).
thf(f2838,plain,
( ( ( ine @ q @ ( secrecy_sE @ secret ) )
!= $true )
| spl85_46 ),
inference(avatar_component_clause,[],[f2836]) ).
thf(f2839,plain,
~ spl85_46,
inference(avatar_split_clause,[],[f1841,f2836]) ).
thf(f2959,plain,
( ! [X0: secrecy_specID,X1: secrecy_Secrets] :
( ( ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ q ) )
= $true )
| ( ( correc965049635ionLoc @ X0 )
!= $true )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ p ) )
= $true )
| ( ( ine @ p @ ( secrecy_sE @ X1 ) )
= $true )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ X0 ) )
!= $true )
| ( ( ine @ q @ ( secrecy_sE @ X1 ) )
= $true ) )
| ~ spl85_12 ),
inference(superposition,[],[f1850,f2668]) ).
thf(f3070,plain,
( ! [X0: secrecy_specID] :
( ( ( ine @ p @ ( secrecy_sE @ secret ) )
= $true )
| ( $true != $true )
| ( ( ine @ q @ ( secrecy_sE @ secret ) )
= $true )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
= $true )
| ( $true
!= ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ X0 ) ) )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( ( correc965049635ionLoc @ X0 )
!= $true ) )
| ~ spl85_12
| spl85_32 ),
inference(superposition,[],[f2768,f2959]) ).
thf(f3073,plain,
( ! [X0: secrecy_specID] :
( ( ( ine @ p @ ( secrecy_sE @ secret ) )
= $true )
| ( $true
!= ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ X0 ) ) )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( ( correc965049635ionLoc @ X0 )
!= $true )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
= $true )
| ( ( ine @ q @ ( secrecy_sE @ secret ) )
= $true ) )
| ~ spl85_12
| spl85_32 ),
inference(trivial_inequality_removal,[],[f3070]) ).
thf(f3076,plain,
( ! [X0: secrecy_specID] :
( ( ( correc965049635ionLoc @ X0 )
!= $true )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( ( ine @ q @ ( secrecy_sE @ secret ) )
= $true )
| ( $true
!= ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ X0 ) ) )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
= $true ) )
| ~ spl85_12
| spl85_15
| spl85_32 ),
inference(forward_subsumption_resolution,[],[f3073,f2683]) ).
thf(f3079,plain,
( ! [X0: secrecy_specID] :
( ( $true
!= ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ X0 ) ) )
| ( ( correc965049635ionLoc @ X0 )
!= $true )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
= $true ) )
| ~ spl85_12
| spl85_15
| spl85_32
| spl85_46 ),
inference(forward_subsumption_resolution,[],[f3076,f2838]) ).
thf(f3080,plain,
( ! [X0: secrecy_specID] :
( ( $true
!= ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ X0 ) ) )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( ( correc965049635ionLoc @ X0 )
!= $true ) )
| ~ spl85_12
| spl85_15
| spl85_31
| spl85_32
| spl85_46 ),
inference(forward_subsumption_resolution,[],[f3079,f2763]) ).
thf(f3153,plain,
( ( ( correc965049635ionLoc @ pq )
!= $true )
| ( $true != $true )
| ( ( subcomponents @ pq )
!= ( subcomponents @ pq ) )
| ~ spl85_12
| spl85_15
| spl85_31
| spl85_32
| ~ spl85_42
| spl85_46 ),
inference(superposition,[],[f3080,f2818]) ).
thf(f3159,plain,
( ( ( correc965049635ionLoc @ pq )
!= $true )
| ~ spl85_12
| spl85_15
| spl85_31
| spl85_32
| ~ spl85_42
| spl85_46 ),
inference(trivial_inequality_removal,[],[f3153]) ).
thf(f3162,plain,
( $false
| ~ spl85_8
| ~ spl85_12
| spl85_15
| spl85_31
| spl85_32
| ~ spl85_42
| spl85_46 ),
inference(forward_subsumption_resolution,[],[f3159,f2648]) ).
thf(f3163,plain,
( ~ spl85_8
| ~ spl85_12
| spl85_15
| spl85_31
| spl85_32
| ~ spl85_42
| spl85_46 ),
inference(avatar_contradiction_clause,[],[f3162]) ).
cnf(s8,plain,
spl85_8,
inference(sat_conversion,[],[f2649]) ).
cnf(s15,plain,
spl85_12,
inference(sat_conversion,[],[f2669]) ).
cnf(s18,plain,
~ spl85_15,
inference(sat_conversion,[],[f2684]) ).
cnf(s36,plain,
~ spl85_31,
inference(sat_conversion,[],[f2764]) ).
cnf(s37,plain,
~ spl85_32,
inference(sat_conversion,[],[f2769]) ).
cnf(s49,plain,
spl85_42,
inference(sat_conversion,[],[f2819]) ).
cnf(s54,plain,
~ spl85_46,
inference(sat_conversion,[],[f2839]) ).
cnf(s67,plain,
( ~ spl85_8
| ~ spl85_12
| spl85_15
| spl85_31
| spl85_32
| ~ spl85_42
| spl85_46 ),
inference(sat_conversion,[],[f3163]) ).
cnf(s69,plain,
~ spl85_8,
inference(rat,[],[s67,s54,s49,s37,s36,s18,s15]) ).
cnf(s72,plain,
$false,
inference(rat,[],[s8,s69]) ).
thf(f3164,plain,
$false,
inference(avatar_sat_refutation,[],[s72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP089^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n019.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 19:52:09 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.20/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.45 % (1264648)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.28/0.45 % (1264656)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=1747590919:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.28/0.45 % (1264653)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=883263969:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.28/0.45 % (1264659)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.28/0.45 % (1264659)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.28/0.45 % (1264654)lrs+10_16_si=on:nwc=1.5:random_seed=3836292543:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.28/0.45 % (1264655)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2191636971:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.28/0.45 % (1264657)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2328287553:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.28/0.45 % (1264658)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3599165170:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.28/0.45 % (1264659)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=360735674:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.28/0.45 % (1264655)Instruction limit reached!
% 0.28/0.45 % (1264655)------------------------------
% 0.28/0.45 % (1264655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.45 % (1264655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.45 % (1264655)CaDiCaL version: 2.1.3
% 0.28/0.45 % (1264655)Termination reason: Instruction limit
% 0.28/0.45 % (1264655)Termination phase: shuffling
% 0.28/0.45 % (1264655)Time elapsed: 0.003 s
% 0.28/0.45 % (1264655)Peak memory usage: 10 MB
% 0.28/0.45 % (1264655)Instructions burned: 3 (million)
% 0.28/0.45 % (1264654)Instruction limit reached!
% 0.28/0.45 % (1264654)------------------------------
% 0.28/0.45 % (1264654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.45 % (1264654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.45 % (1264654)CaDiCaL version: 2.1.3
% 0.28/0.45 % (1264654)Termination reason: Instruction limit
% 0.28/0.45 % (1264654)Termination phase: shuffling
% 0.28/0.45 % (1264654)Time elapsed: 0.017 s
% 0.28/0.45 % (1264654)Peak memory usage: 10 MB
% 0.28/0.45 % (1264654)Instructions burned: 19 (million)
% 0.28/0.45 % (1264657)Instruction limit reached!
% 0.28/0.45 % (1264657)------------------------------
% 0.28/0.45 % (1264657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.45 % (1264657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.45 % (1264657)CaDiCaL version: 2.1.3
% 0.28/0.45 % (1264657)Termination reason: Instruction limit
% 0.28/0.45 % (1264657)Termination phase: shuffling
% 0.28/0.45 % (1264657)Time elapsed: 0.021 s
% 0.28/0.45 % (1264657)Peak memory usage: 10 MB
% 0.28/0.45 % (1264657)Instructions burned: 25 (million)
% 0.28/0.45 % (1264667)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=585130558:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.28/0.45 % (1264667)Instruction limit reached!
% 0.28/0.45 % (1264667)------------------------------
% 0.28/0.45 % (1264667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.45 % (1264669)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.28/0.45 % (1264667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.45 % (1264667)CaDiCaL version: 2.1.3
% 0.28/0.45 % (1264667)Termination reason: Instruction limit
% 0.28/0.45 % (1264667)Termination phase: shuffling
% 0.28/0.45 % (1264667)Time elapsed: 0.002 s
% 0.28/0.45 % (1264667)Peak memory usage: 10 MB
% 0.28/0.45 % (1264667)Instructions burned: 3 (million)
% 0.28/0.45 % (1264653)Instruction limit reached!
% 0.28/0.45 % (1264653)------------------------------
% 0.28/0.45 % (1264653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.45 % (1264653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.45 % (1264653)CaDiCaL version: 2.1.3
% 0.28/0.45 % (1264653)Termination reason: Instruction limit
% 0.28/0.45 % (1264653)Termination phase: Property scanning
% 0.28/0.45 % (1264653)Time elapsed: 0.051 s
% 0.28/0.45 % (1264653)Peak memory usage: 12 MB
% 0.28/0.45 % (1264653)Instructions burned: 87 (million)
% 0.28/0.45 % (1264668)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2515552202:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.28/0.45 % (1264669)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1534359065:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.28/0.45 % (1264668)Instruction limit reached!
% 0.28/0.45 % (1264668)------------------------------
% 0.28/0.45 % (1264668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.45 % (1264668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.45 % (1264668)CaDiCaL version: 2.1.3
% 0.28/0.45 % (1264668)Termination reason: Instruction limit
% 0.28/0.45 % (1264668)Termination phase: shuffling
% 0.28/0.45 % (1264668)Time elapsed: 0.003 s
% 0.28/0.45 % (1264668)Peak memory usage: 10 MB
% 0.28/0.45 % (1264668)Instructions burned: 5 (million)
% 0.28/0.45 % (1264669)Instruction limit reached!
% 0.28/0.45 % (1264669)------------------------------
% 0.28/0.45 % (1264669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.45 % (1264669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.45 % (1264669)CaDiCaL version: 2.1.3
% 0.28/0.45 % (1264669)Termination reason: Instruction limit
% 0.28/0.45 % (1264669)Termination phase: shuffling
% 0.28/0.45 % (1264669)Time elapsed: 0.004 s
% 0.28/0.45 % (1264669)Peak memory usage: 10 MB
% 0.28/0.45 % (1264669)Instructions burned: 8 (million)
% 0.28/0.45 % (1264672)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.28/0.45 % (1264672)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.28/0.45 % (1264671)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3831847424:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 0.28/0.45 % (1264672)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=225817572:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.28/0.45 % (1264675)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=2947710474:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.28/0.45 % (1264671)Instruction limit reached!
% 0.28/0.45 % (1264671)------------------------------
% 0.28/0.45 % (1264671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.45 % (1264671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.45 % (1264671)CaDiCaL version: 2.1.3
% 0.28/0.45 % (1264671)Termination reason: Instruction limit
% 0.28/0.45 % (1264671)Termination phase: shuffling
% 0.28/0.45 % (1264671)Time elapsed: 0.006 s
% 0.28/0.45 % (1264671)Peak memory usage: 10 MB
% 0.28/0.45 % (1264671)Instructions burned: 13 (million)
% 0.28/0.45 % (1264676)lrs+10_1_si=on:cs=on:random_seed=15578379:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.28/0.45 % (1264658)Instruction limit reached!
% 0.28/0.45 % (1264658)------------------------------
% 0.28/0.45 % (1264658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.45 % (1264658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.45 % (1264658)CaDiCaL version: 2.1.3
% 0.28/0.45 % (1264658)Termination reason: Instruction limit
% 0.28/0.45 % (1264658)Termination phase: Preprocessing 3
% 0.28/0.45 % (1264658)Time elapsed: 0.064 s
% 0.28/0.45 % (1264658)Peak memory usage: 12 MB
% 0.28/0.45 % (1264658)Instructions burned: 76 (million)
% 0.28/0.45 % (1264676)Instruction limit reached!
% 0.28/0.45 % (1264676)------------------------------
% 0.28/0.45 % (1264676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.45 % (1264676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.45 % (1264676)CaDiCaL version: 2.1.3
% 0.28/0.45 % (1264676)Termination reason: Instruction limit
% 0.28/0.45 % (1264676)Termination phase: shuffling
% 0.28/0.45 % (1264676)Time elapsed: 0.004 s
% 0.28/0.45 % (1264676)Peak memory usage: 10 MB
% 0.28/0.45 % (1264676)Instructions burned: 9 (million)
% 0.28/0.45 % (1264672)Instruction limit reached!
% 0.28/0.45 % (1264672)------------------------------
% 0.28/0.45 % (1264672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.45 % (1264672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.45 % (1264672)CaDiCaL version: 2.1.3
% 0.28/0.45 % (1264672)Termination reason: Instruction limit
% 0.28/0.45 % (1264672)Termination phase: shuffling
% 0.28/0.45 % (1264672)Time elapsed: 0.013 s
% 0.28/0.45 % (1264672)Peak memory usage: 10 MB
% 0.28/0.45 % (1264672)Instructions burned: 28 (million)
% 0.28/0.45 % (1264656) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1264648-1264656"...
% 0.28/0.45 % (1264656)...printing done.
% 0.28/0.45 % (1264656)Refutation found. Thanks to Tanya!
% 0.28/0.45 % SZS status Theorem for theBenchmark
% 0.28/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/0.46 % (1264656)------------------------------
% 0.28/0.46 % (1264656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (1264656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (1264656)CaDiCaL version: 2.1.3
% 0.28/0.46 % (1264656)Termination reason: Refutation
% 0.28/0.46 % (1264656)Time elapsed: 0.087 s
% 0.28/0.46 % (1264656)Peak memory usage: 15 MB
% 0.28/0.46 % (1264656)Instructions burned: 263 (million)
% 0.28/0.46 % (1264648)Success in time 0.144 s
% 0.28/0.46 % Vampire exiting
%------------------------------------------------------------------------------