%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP088^1 : 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 : n015.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 1.03s 0.51s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 82 ( 37 unt; 0 typ; 7 def)
% Number of atoms : 335 ( 91 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 480 ( 98 ~; 83 |; 0 &; 279 @)
% ( 7 <=>; 13 =>; 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 : 199 ( 196 usr; 18 con; 0-4 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 47 :)
% 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_dE: nat > secrecy_Expression ).
thf(func_def_35,type,
secrecy_idE: secrecy_specID > secrecy_Expression ).
thf(func_def_36,type,
secrecy_kE: secrecy_Keys > secrecy_Expression ).
thf(func_def_37,type,
secrecy_sE: secrecy_Secrets > secrecy_Expression ).
thf(func_def_38,type,
secrec1016742679ession: secrecy_KS > secrecy_Expression ).
thf(func_def_39,type,
secrecy_kKS: secrecy_Keys > secrecy_KS ).
thf(func_def_40,type,
secrecy_sKS: secrecy_Secrets > secrecy_KS ).
thf(func_def_41,type,
collect_Secrecy_KS: ( secrecy_KS > $o ) > set_Secrecy_KS ).
thf(func_def_42,type,
collect_Secrecy_Keys: ( secrecy_Keys > $o ) > set_Secrecy_Keys ).
thf(func_def_43,type,
collec836099393ecrets: ( secrecy_Secrets > $o ) > set_Secrecy_Secrets ).
thf(func_def_44,type,
collec625564175chanID: ( secrecy_chanID > $o ) > set_Secrecy_chanID ).
thf(func_def_45,type,
collec1545797240specID: ( secrecy_specID > $o ) > set_Secrecy_specID ).
thf(func_def_46,type,
insert_Secrecy_KS: secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_47,type,
insert_Secrecy_Keys: secrecy_Keys > set_Secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_48,type,
insert565337510ecrets: secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_49,type,
insert751661162chanID: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_50,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
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,
key: secrecy_Keys ).
thf(func_def_80,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_81,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_82,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_83,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_84,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_85,type,
vAND: $o > $o > $o ).
thf(func_def_86,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_87,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_88,type,
vIMP: $o > $o > $o ).
thf(func_def_89,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_90,type,
vNOT: $o > $o ).
thf(func_def_91,type,
sK0: set_Secrecy_specID > secrecy_specID > set_Secrecy_specID > secrecy_specID > set_Secrecy_specID ).
thf(func_def_92,type,
sK1: secrecy_Keys > secrecy_specID > secrecy_chanID ).
thf(func_def_93,type,
sK2: secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Keys ).
thf(func_def_94,type,
sK3: secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Secrets ).
thf(func_def_95,type,
sK4: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_96,type,
sK5: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID > secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_97,type,
sK6: ( secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_98,type,
sK7: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_99,type,
sK8: set_Secrecy_chanID > ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_100,type,
sK9: set_Secrecy_chanID > ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_101,type,
sK10: secrecy_KS > secrecy_KS > set_Secrecy_KS > set_Secrecy_KS > set_Secrecy_KS ).
thf(func_def_102,type,
sK11: ( secrecy_Expression > $o ) > secrecy_specID ).
thf(func_def_103,type,
sK12: ( secrecy_Expression > $o ) > secrecy_Secrets ).
thf(func_def_104,type,
sK13: ( secrecy_Expression > $o ) > nat ).
thf(func_def_105,type,
sK14: ( secrecy_Expression > $o ) > secrecy_Keys ).
thf(func_def_106,type,
sK15: secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Keys ).
thf(func_def_107,type,
sK16: secrecy_specID > secrecy_KS > secrecy_specID > secrecy_Secrets ).
thf(func_def_108,type,
sK17: set_Secrecy_KS > secrecy_KS > set_Secrecy_KS ).
thf(func_def_109,type,
sK18: secrecy_specID > secrecy_Keys > secrecy_specID ).
thf(func_def_110,type,
sK19: ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_111,type,
sK20: ( secrecy_KS > $o ) > set_Secrecy_KS > secrecy_KS ).
thf(func_def_112,type,
sK21: ( secrecy_KS > $o ) > set_Secrecy_KS > set_Secrecy_KS > secrecy_KS ).
thf(func_def_113,type,
sK22: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_114,type,
sK23: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_115,type,
sK24: set_Secrecy_KS > set_Secrecy_KS > ( secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_116,type,
sK25: set_Secrecy_KS > ( secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_117,type,
sK26: set_Secrecy_KS > ( secrecy_KS > $o ) > secrecy_KS ).
thf(func_def_118,type,
sK27: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_119,type,
sK28: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_120,type,
sK29: secrecy_specID > secrecy_Secrets > secrecy_chanID ).
thf(func_def_121,type,
sK30: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_122,type,
sK31: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_123,type,
sK32: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_124,type,
sK33: set_Secrecy_Keys > secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_125,type,
sK34: secrecy_Secrets > secrecy_specID > secrecy_specID ).
thf(func_def_126,type,
sK35: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_127,type,
sK36: set_Secrecy_specID > secrecy_specID ).
thf(func_def_128,type,
sK37: set_Secrecy_Keys > set_Secrecy_Keys > secrecy_Keys > secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_129,type,
sK38: set_Secrecy_specID > secrecy_specID ).
thf(func_def_130,type,
sK39: secrecy_specID > secrecy_Secrets > secrecy_chanID ).
thf(func_def_131,type,
sK40: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_132,type,
sK41: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_133,type,
sK42: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_134,type,
sK43: secrecy_KS > secrecy_Keys ).
thf(func_def_135,type,
sK44: secrecy_KS > secrecy_Secrets ).
thf(func_def_136,type,
sK45: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_137,type,
sK46: ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_138,type,
sK47: set_Secrecy_specID > secrecy_specID > set_Secrecy_specID ).
thf(func_def_139,type,
sK48: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_140,type,
sK49: set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_141,type,
sK50: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_142,type,
sK51: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_143,type,
sK52: set_Secrecy_Secrets > secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_144,type,
sK53: ( secrecy_specID > $o ) > secrecy_specID ).
thf(func_def_145,type,
sK54: secrecy_Expression > secrecy_specID > secrecy_chanID ).
thf(func_def_146,type,
sK55: secrecy_Expression > secrecy_Secrets ).
thf(func_def_147,type,
sK56: secrecy_Expression > secrecy_specID ).
thf(func_def_148,type,
sK57: secrecy_Expression > secrecy_Keys ).
thf(func_def_149,type,
sK58: secrecy_Expression > nat ).
thf(func_def_150,type,
sK59: set_Secrecy_chanID > ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_151,type,
sK60: ( secrecy_chanID > $o ) > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_152,type,
sK61: set_Secrecy_chanID > ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_153,type,
sK62: secrecy_chanID > set_Secrecy_chanID > set_Secrecy_chanID ).
thf(func_def_154,type,
sK63: secrecy_Keys > secrecy_specID > secrecy_chanID ).
thf(func_def_155,type,
sK64: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_156,type,
sK65: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_157,type,
sK66: set_Secrecy_KS > secrecy_KS > set_Secrecy_KS ).
thf(func_def_158,type,
sK67: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_159,type,
sK68: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_160,type,
sK69: set_Secrecy_KS > secrecy_KS ).
thf(func_def_161,type,
sK70: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_162,type,
sK71: set_Secrecy_chanID > secrecy_specID > secrecy_chanID ).
thf(func_def_163,type,
sK72: set_Secrecy_KS > secrecy_KS ).
thf(func_def_164,type,
sK73: set_Secrecy_KS > secrecy_KS ).
thf(func_def_165,type,
sK74: set_Secrecy_specID > secrecy_specID ).
thf(func_def_166,type,
sK75: set_Secrecy_specID > secrecy_specID ).
thf(func_def_167,type,
sK76: set_Secrecy_Keys > secrecy_Keys ).
thf(func_def_168,type,
sK77: set_Secrecy_Secrets > secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_169,type,
sK78: set_Secrecy_KS > secrecy_KS ).
thf(func_def_170,type,
sK79: set_Secrecy_KS > secrecy_KS ).
thf(func_def_171,type,
sK80: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_172,type,
sK81: set_Secrecy_Keys > secrecy_Keys > set_Secrecy_Keys ).
thf(func_def_173,type,
sK82: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_174,type,
sK83: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(func_def_175,type,
sK84: secrecy_Secrets > set_Secrecy_Secrets > secrecy_Secrets > set_Secrecy_Secrets > set_Secrecy_Secrets ).
thf(func_def_176,type,
sK85: secrecy_specID > set_Secrecy_chanID > secrecy_chanID ).
thf(func_def_177,type,
sK86: ( secrecy_chanID > $o ) > secrecy_chanID ).
thf(func_def_178,type,
sK87: set_Secrecy_specID > secrecy_specID ).
thf(func_def_179,type,
sK88: set_Secrecy_specID > secrecy_specID ).
thf(func_def_180,type,
sK89: ( secrecy_KS > $o ) > secrecy_Secrets ).
thf(func_def_181,type,
sK90: ( secrecy_KS > $o ) > secrecy_Keys ).
thf(func_def_182,type,
sK91: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_183,type,
sK92: set_Secrecy_Secrets > secrecy_Secrets ).
thf(func_def_185,type,
inv_secrecy_kE_94: secrecy_Expression > secrecy_Keys ).
thf(func_def_186,type,
inv_secrecy_sKS_95: secrecy_KS > secrecy_Secrets ).
thf(func_def_187,type,
inv_secrecy_dE_96: secrecy_Expression > nat ).
thf(func_def_188,type,
inv_secrecy_sE_97: secrecy_Expression > secrecy_Secrets ).
thf(func_def_189,type,
inv_secrecy_idE_98: secrecy_Expression > secrecy_specID ).
thf(func_def_190,type,
inv_secrecy_kKS_99: secrecy_KS > secrecy_Keys ).
thf(func_def_191,type,
sK100: secrecy_specID > secrecy_Expression > secrecy_chanID ).
thf(f1,axiom,
correctCompositionIn @ pq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I4_J) ).
thf(f2,axiom,
~ ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms_I2_J) ).
thf(f3,axiom,
~ ( knowle945212990e_know @ p @ ( secrecy_kKS @ key ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_assms_I1_J) ).
thf(f4,axiom,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_assms_I3_J) ).
thf(f6,axiom,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ~ ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
=> ~ ( ine @ X0 @ ( secrecy_kE @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_not__know__k__not__ine) ).
thf(f36,axiom,
! [X2: secrecy_specID,X0: secrecy_specID,X3: secrecy_specID,X1: secrecy_Expression] :
( ( ine @ X0 @ X1 )
=> ( ( ( subcomponents @ X0 )
= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X3 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionIn @ X0 )
=> ( ( ine @ X2 @ X1 )
| ( ine @ X3 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_TBtheorem1a) ).
thf(f356,conjecture,
~ ( ine @ pq @ ( secrecy_kE @ key ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ~ ( ine @ pq @ ( secrecy_kE @ key ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f379,plain,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ~ ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
=> ~ ( ine @ X0 @ ( secrecy_kE @ X1 ) ) ),
inference(rectify,[],[f6]) ).
thf(f380,plain,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
!= $true )
=> ( ( ine @ X0 @ ( secrecy_kE @ X1 ) )
!= $true ) ),
inference(fool_elimination,[],[f379]) ).
thf(f489,plain,
correctCompositionIn @ pq,
inference(rectify,[],[f1]) ).
thf(f490,plain,
( ( correctCompositionIn @ pq )
= $true ),
inference(fool_elimination,[],[f489]) ).
thf(f495,plain,
~ ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) ),
inference(rectify,[],[f2]) ).
thf(f496,plain,
( ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) )
!= $true ),
inference(fool_elimination,[],[f495]) ).
thf(f735,plain,
! [X0: secrecy_specID,X1: secrecy_specID,X2: secrecy_specID,X3: secrecy_Expression] :
( ( ine @ X1 @ X3 )
=> ( ( ( insert1671894227specID @ X0 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) )
= ( subcomponents @ X1 ) )
=> ( ( correctCompositionIn @ X1 )
=> ( ( ine @ X0 @ X3 )
| ( ine @ X2 @ X3 ) ) ) ) ),
inference(rectify,[],[f36]) ).
thf(f736,plain,
! [X1: secrecy_specID,X2: secrecy_specID,X0: secrecy_specID,X3: secrecy_Expression] :
( ( ( ine @ X1 @ X3 )
= $true )
=> ( ( ( insert1671894227specID @ X0 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) )
= ( subcomponents @ X1 ) )
=> ( ( ( correctCompositionIn @ X1 )
= $true )
=> ( ( ( ine @ X0 @ X3 )
= $true )
| ( ( ine @ X2 @ X3 )
= $true ) ) ) ) ),
inference(fool_elimination,[],[f735]) ).
thf(f764,plain,
~ ( knowle945212990e_know @ p @ ( secrecy_kKS @ key ) ),
inference(rectify,[],[f3]) ).
thf(f765,plain,
( ( knowle945212990e_know @ p @ ( secrecy_kKS @ key ) )
!= $true ),
inference(fool_elimination,[],[f764]) ).
thf(f816,plain,
~ ~ ( ine @ pq @ ( secrecy_kE @ key ) ),
inference(rectify,[],[f357]) ).
thf(f817,plain,
~ ( ( ( ine @ pq @ ( secrecy_kE @ key ) )
!= $true ) ),
inference(fool_elimination,[],[f816]) ).
thf(f927,plain,
! [X0: secrecy_specID,X1: secrecy_Keys] :
( ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
!= $true )
=> ( ( ine @ X0 @ ( secrecy_kE @ X1 ) )
!= $true ) ),
inference(flattening,[],[f380]) ).
thf(f953,plain,
( ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) )
!= $true ),
inference(flattening,[],[f496]) ).
thf(f1020,plain,
( ( knowle945212990e_know @ p @ ( secrecy_kKS @ key ) )
!= $true ),
inference(flattening,[],[f765]) ).
thf(f1029,plain,
( ( ine @ pq @ ( secrecy_kE @ key ) )
= $true ),
inference(flattening,[],[f817]) ).
thf(f1166,plain,
! [X1: secrecy_specID,X2: secrecy_specID,X0: secrecy_specID,X3: secrecy_Expression] :
( ( ( ine @ X0 @ X3 )
= $true )
| ( ( ine @ X2 @ X3 )
= $true )
| ( ( correctCompositionIn @ X1 )
!= $true )
| ( ( insert1671894227specID @ X0 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) )
!= ( subcomponents @ X1 ) )
| ( ( ine @ X1 @ X3 )
!= $true ) ),
inference(ennf_transformation,[],[f736]) ).
thf(f1167,plain,
! [X3: secrecy_Expression,X0: secrecy_specID,X2: secrecy_specID,X1: secrecy_specID] :
( ( ( ine @ X1 @ X3 )
!= $true )
| ( ( ine @ X2 @ X3 )
= $true )
| ( ( insert1671894227specID @ X0 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) )
!= ( subcomponents @ X1 ) )
| ( ( ine @ X0 @ X3 )
= $true )
| ( ( correctCompositionIn @ X1 )
!= $true ) ),
inference(flattening,[],[f1166]) ).
thf(f1233,plain,
! [X1: secrecy_Keys,X0: secrecy_specID] :
( ( ( ine @ X0 @ ( secrecy_kE @ X1 ) )
!= $true )
| ( ( knowle945212990e_know @ X0 @ ( secrecy_kKS @ X1 ) )
= $true ) ),
inference(ennf_transformation,[],[f927]) ).
thf(f1366,plain,
! [X0: secrecy_Keys,X1: secrecy_specID] :
( ( ( ine @ X1 @ ( secrecy_kE @ X0 ) )
!= $true )
| ( ( knowle945212990e_know @ X1 @ ( secrecy_kKS @ X0 ) )
= $true ) ),
inference(rectify,[],[f1233]) ).
thf(f1409,plain,
! [X0: secrecy_Expression,X1: secrecy_specID,X2: secrecy_specID,X3: secrecy_specID] :
( ( $true
!= ( ine @ X3 @ X0 ) )
| ( ( ine @ X2 @ X0 )
= $true )
| ( ( insert1671894227specID @ X1 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) )
!= ( subcomponents @ X3 ) )
| ( $true
= ( ine @ X1 @ X0 ) )
| ( ( correctCompositionIn @ X3 )
!= $true ) ),
inference(rectify,[],[f1167]) ).
thf(f1762,plain,
! [X0: secrecy_Keys,X1: secrecy_specID] :
( ( ( knowle945212990e_know @ X1 @ ( secrecy_kKS @ X0 ) )
= $true )
| ( ( ine @ X1 @ ( secrecy_kE @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[],[f1366]) ).
thf(f1815,plain,
( ( correctCompositionIn @ pq )
= $true ),
inference(cnf_transformation,[],[f490]) ).
thf(f1839,plain,
! [X2: secrecy_specID,X3: secrecy_specID,X0: secrecy_Expression,X1: secrecy_specID] :
( ( ( insert1671894227specID @ X1 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) )
!= ( subcomponents @ X3 ) )
| ( $true
= ( ine @ X1 @ X0 ) )
| ( ( ine @ X2 @ X0 )
= $true )
| ( $true
!= ( ine @ X3 @ X0 ) )
| ( ( correctCompositionIn @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f1409]) ).
thf(f1854,plain,
( ( knowle945212990e_know @ p @ ( secrecy_kKS @ key ) )
!= $true ),
inference(cnf_transformation,[],[f1020]) ).
thf(f1896,plain,
( ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) )
!= $true ),
inference(cnf_transformation,[],[f953]) ).
thf(f2176,plain,
( ( ine @ pq @ ( secrecy_kE @ key ) )
= $true ),
inference(cnf_transformation,[],[f1029]) ).
thf(f2371,plain,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f2608,definition,
( spl93_1
<=> ( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ) ),
introduced(definition,[new_symbols(definition,[spl93_1])],[avatar_definition]) ).
thf(f2610,plain,
( ( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) )
| ~ spl93_1 ),
inference(avatar_component_clause,[],[f2608]) ).
thf(f2611,plain,
spl93_1,
inference(avatar_split_clause,[],[f2371,f2608]) ).
thf(f2738,definition,
( spl93_27
<=> ( ( correctCompositionIn @ pq )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl93_27])],[avatar_definition]) ).
thf(f2740,plain,
( ( ( correctCompositionIn @ pq )
= $true )
| ~ spl93_27 ),
inference(avatar_component_clause,[],[f2738]) ).
thf(f2741,plain,
spl93_27,
inference(avatar_split_clause,[],[f1815,f2738]) ).
thf(f2758,definition,
( spl93_31
<=> ( ( knowle945212990e_know @ p @ ( secrecy_kKS @ key ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl93_31])],[avatar_definition]) ).
thf(f2760,plain,
( ( ( knowle945212990e_know @ p @ ( secrecy_kKS @ key ) )
!= $true )
| spl93_31 ),
inference(avatar_component_clause,[],[f2758]) ).
thf(f2761,plain,
~ spl93_31,
inference(avatar_split_clause,[],[f1854,f2758]) ).
thf(f2763,definition,
( spl93_32
<=> ( ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl93_32])],[avatar_definition]) ).
thf(f2765,plain,
( ( ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) )
!= $true )
| spl93_32 ),
inference(avatar_component_clause,[],[f2763]) ).
thf(f2766,plain,
~ spl93_32,
inference(avatar_split_clause,[],[f1896,f2763]) ).
thf(f2768,definition,
( spl93_33
<=> ( ( ine @ pq @ ( secrecy_kE @ key ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl93_33])],[avatar_definition]) ).
thf(f2770,plain,
( ( ( ine @ pq @ ( secrecy_kE @ key ) )
= $true )
| ~ spl93_33 ),
inference(avatar_component_clause,[],[f2768]) ).
thf(f2771,plain,
spl93_33,
inference(avatar_split_clause,[],[f2176,f2768]) ).
thf(f2798,plain,
( ( ( ine @ p @ ( secrecy_kE @ key ) )
!= $true )
| ( $true != $true )
| spl93_31 ),
inference(superposition,[],[f2760,f1762]) ).
thf(f2799,plain,
( ( ( ine @ p @ ( secrecy_kE @ key ) )
!= $true )
| spl93_31 ),
inference(trivial_inequality_removal,[],[f2798]) ).
thf(f2801,definition,
( spl93_37
<=> ( ( ine @ p @ ( secrecy_kE @ key ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl93_37])],[avatar_definition]) ).
thf(f2803,plain,
( ( ( ine @ p @ ( secrecy_kE @ key ) )
!= $true )
| spl93_37 ),
inference(avatar_component_clause,[],[f2801]) ).
thf(f2804,plain,
( ~ spl93_37
| spl93_31 ),
inference(avatar_split_clause,[],[f2799,f2758,f2801]) ).
thf(f2810,plain,
( ( $true != $true )
| ( ( ine @ q @ ( secrecy_kE @ key ) )
!= $true )
| spl93_32 ),
inference(superposition,[],[f2765,f1762]) ).
thf(f2811,plain,
( ( ( ine @ q @ ( secrecy_kE @ key ) )
!= $true )
| spl93_32 ),
inference(trivial_inequality_removal,[],[f2810]) ).
thf(f2813,definition,
( spl93_38
<=> ( ( ine @ q @ ( secrecy_kE @ key ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl93_38])],[avatar_definition]) ).
thf(f2815,plain,
( ( ( ine @ q @ ( secrecy_kE @ key ) )
!= $true )
| spl93_38 ),
inference(avatar_component_clause,[],[f2813]) ).
thf(f2816,plain,
( ~ spl93_38
| spl93_32 ),
inference(avatar_split_clause,[],[f2811,f2763,f2813]) ).
thf(f2862,plain,
( ! [X0: secrecy_specID,X1: secrecy_Expression] :
( ( $true
= ( ine @ q @ X1 ) )
| ( $true
= ( ine @ p @ X1 ) )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( ( ine @ X0 @ X1 )
!= $true )
| ( ( correctCompositionIn @ X0 )
!= $true ) )
| ~ spl93_1 ),
inference(superposition,[],[f1839,f2610]) ).
thf(f3011,plain,
( ! [X0: secrecy_specID] :
( ( ( correctCompositionIn @ X0 )
!= $true )
| ( $true != $true )
| ( ( ine @ X0 @ ( secrecy_kE @ key ) )
!= $true )
| ( ( ine @ p @ ( secrecy_kE @ key ) )
= $true )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) ) )
| ~ spl93_1
| spl93_38 ),
inference(superposition,[],[f2815,f2862]) ).
thf(f3014,plain,
( ! [X0: secrecy_specID] :
( ( ( ine @ X0 @ ( secrecy_kE @ key ) )
!= $true )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) )
| ( ( ine @ p @ ( secrecy_kE @ key ) )
= $true )
| ( ( correctCompositionIn @ X0 )
!= $true ) )
| ~ spl93_1
| spl93_38 ),
inference(trivial_inequality_removal,[],[f3011]) ).
thf(f3038,plain,
( ! [X0: secrecy_specID] :
( ( ( ine @ X0 @ ( secrecy_kE @ key ) )
!= $true )
| ( ( correctCompositionIn @ X0 )
!= $true )
| ( ( subcomponents @ pq )
!= ( subcomponents @ X0 ) ) )
| ~ spl93_1
| spl93_37
| spl93_38 ),
inference(forward_subsumption_resolution,[],[f3014,f2803]) ).
thf(f3277,plain,
( ( ( subcomponents @ pq )
!= ( subcomponents @ pq ) )
| ( ( correctCompositionIn @ pq )
!= $true )
| ( $true != $true )
| ~ spl93_1
| ~ spl93_33
| spl93_37
| spl93_38 ),
inference(superposition,[],[f3038,f2770]) ).
thf(f3284,plain,
( ( ( correctCompositionIn @ pq )
!= $true )
| ~ spl93_1
| ~ spl93_33
| spl93_37
| spl93_38 ),
inference(trivial_inequality_removal,[],[f3277]) ).
thf(f3287,plain,
( $false
| ~ spl93_1
| ~ spl93_27
| ~ spl93_33
| spl93_37
| spl93_38 ),
inference(forward_subsumption_resolution,[],[f3284,f2740]) ).
thf(f3288,plain,
( ~ spl93_1
| ~ spl93_27
| ~ spl93_33
| spl93_37
| spl93_38 ),
inference(avatar_contradiction_clause,[],[f3287]) ).
cnf(s1,plain,
spl93_1,
inference(sat_conversion,[],[f2611]) ).
cnf(s33,plain,
spl93_27,
inference(sat_conversion,[],[f2741]) ).
cnf(s37,plain,
~ spl93_31,
inference(sat_conversion,[],[f2761]) ).
cnf(s38,plain,
~ spl93_32,
inference(sat_conversion,[],[f2766]) ).
cnf(s41,plain,
spl93_33,
inference(sat_conversion,[],[f2771]) ).
cnf(s46,plain,
( spl93_31
| ~ spl93_37 ),
inference(sat_conversion,[],[f2804]) ).
cnf(s47,plain,
( spl93_32
| ~ spl93_38 ),
inference(sat_conversion,[],[f2816]) ).
cnf(s64,plain,
( ~ spl93_1
| ~ spl93_27
| ~ spl93_33
| spl93_37
| spl93_38 ),
inference(sat_conversion,[],[f3288]) ).
cnf(s65,plain,
~ spl93_38,
inference(rat,[],[s47,s38]) ).
cnf(s66,plain,
~ spl93_37,
inference(rat,[],[s46,s37]) ).
cnf(s67,plain,
~ spl93_1,
inference(rat,[],[s64,s65,s66,s41,s33]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s1,s67]) ).
thf(f3289,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP088^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n015.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 19:53:49 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.18/0.28 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
% 0.45/0.42 % (4027847)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.45/0.42 % (4027854)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3732411625:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.45/0.42 % (4027854)Instruction limit reached!
% 0.45/0.42 % (4027854)------------------------------
% 0.45/0.42 % (4027854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.42 % (4027854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.42 % (4027854)CaDiCaL version: 2.1.3
% 0.45/0.42 % (4027854)Termination reason: Instruction limit
% 0.45/0.42 % (4027854)Termination phase: shuffling
% 0.45/0.42 % (4027854)Time elapsed: 0.002 s
% 0.45/0.42 % (4027854)Peak memory usage: 10 MB
% 0.45/0.42 % (4027854)Instructions burned: 7 (million)
% 0.45/0.42 % (4027858)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.45/0.42 % (4027858)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
% 0.45/0.42 % (4027852)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1781048830:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.45/0.42 % (4027856)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=658065701:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.45/0.42 % (4027855)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=444557813: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)
% 0.45/0.42 % (4027857)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2299933419:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.45/0.42 % (4027858)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=728316193:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.45/0.42 % (4027853)lrs+10_16_si=on:nwc=1.5:random_seed=971997003:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.45/0.42 % (4027860)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4173788212:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.45/0.42 % (4027860)Instruction limit reached!
% 0.45/0.42 % (4027860)------------------------------
% 0.45/0.42 % (4027860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.42 % (4027860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.42 % (4027860)CaDiCaL version: 2.1.3
% 0.45/0.42 % (4027860)Termination reason: Instruction limit
% 0.45/0.42 % (4027860)Termination phase: shuffling
% 0.45/0.42 % (4027860)Time elapsed: 0.003 s
% 0.45/0.42 % (4027860)Peak memory usage: 10 MB
% 0.45/0.42 % (4027860)Instructions burned: 13 (million)
% 0.45/0.42 % (4027856)Instruction limit reached!
% 0.45/0.42 % (4027856)------------------------------
% 0.45/0.42 % (4027856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.42 % (4027856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.42 % (4027856)CaDiCaL version: 2.1.3
% 0.45/0.42 % (4027856)Termination reason: Instruction limit
% 0.45/0.42 % (4027856)Termination phase: shuffling
% 0.45/0.42 % (4027856)Time elapsed: 0.012 s
% 0.45/0.42 % (4027856)Peak memory usage: 10 MB
% 0.45/0.42 % (4027856)Instructions burned: 25 (million)
% 0.45/0.42 % (4027853)Instruction limit reached!
% 0.45/0.42 % (4027853)------------------------------
% 0.45/0.42 % (4027853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.42 % (4027853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.42 % (4027853)CaDiCaL version: 2.1.3
% 0.45/0.42 % (4027853)Termination reason: Instruction limit
% 0.45/0.42 % (4027853)Termination phase: shuffling
% 0.45/0.42 % (4027853)Time elapsed: 0.009 s
% 0.45/0.42 % (4027853)Peak memory usage: 10 MB
% 0.45/0.42 % (4027853)Instructions burned: 18 (million)
% 0.45/0.42 % (4027868)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2871843546:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.03/0.47 % (4027868)Instruction limit reached!
% 1.03/0.47 % (4027868)------------------------------
% 1.03/0.47 % (4027868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.47 % (4027868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.47 % (4027868)CaDiCaL version: 2.1.3
% 1.03/0.47 % (4027868)Termination reason: Instruction limit
% 1.03/0.47 % (4027868)Termination phase: shuffling
% 1.03/0.47 % (4027868)Time elapsed: 0.002 s
% 1.03/0.47 % (4027868)Peak memory usage: 10 MB
% 1.03/0.47 % (4027868)Instructions burned: 6 (million)
% 1.03/0.47 % (4027869)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.03/0.47 % (4027869)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1062502386:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.03/0.47 % (4027872)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.03/0.47 % (4027872)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.03/0.47 % (4027872)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1599654923:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.03/0.47 % (4027870)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1827553880:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.03/0.47 % (4027869)Instruction limit reached!
% 1.03/0.47 % (4027869)------------------------------
% 1.03/0.47 % (4027869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.47 % (4027869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.47 % (4027869)CaDiCaL version: 2.1.3
% 1.03/0.47 % (4027869)Termination reason: Instruction limit
% 1.03/0.47 % (4027869)Termination phase: shuffling
% 1.03/0.47 % (4027869)Time elapsed: 0.004 s
% 1.03/0.47 % (4027869)Peak memory usage: 10 MB
% 1.03/0.47 % (4027869)Instructions burned: 8 (million)
% 1.03/0.47 % (4027857)Instruction limit reached!
% 1.03/0.47 % (4027857)------------------------------
% 1.03/0.47 % (4027857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.47 % (4027857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.47 % (4027857)CaDiCaL version: 2.1.3
% 1.03/0.47 % (4027857)Termination reason: Instruction limit
% 1.03/0.47 % (4027857)Termination phase: Preprocessing 3
% 1.03/0.47 % (4027857)Time elapsed: 0.036 s
% 1.03/0.47 % (4027857)Peak memory usage: 12 MB
% 1.03/0.47 % (4027857)Instructions burned: 76 (million)
% 1.03/0.47 % (4027852)Instruction limit reached!
% 1.03/0.47 % (4027852)------------------------------
% 1.03/0.47 % (4027852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.47 % (4027852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.47 % (4027852)CaDiCaL version: 2.1.3
% 1.03/0.47 % (4027852)Termination reason: Instruction limit
% 1.03/0.47 % (4027852)Termination phase: Property scanning
% 1.03/0.47 % (4027852)Time elapsed: 0.041 s
% 1.03/0.47 % (4027852)Peak memory usage: 12 MB
% 1.03/0.47 % (4027852)Instructions burned: 89 (million)
% 1.03/0.47 % (4027870)Instruction limit reached!
% 1.03/0.47 % (4027870)------------------------------
% 1.03/0.47 % (4027870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.47 % (4027870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.47 % (4027870)CaDiCaL version: 2.1.3
% 1.03/0.47 % (4027870)Termination reason: Instruction limit
% 1.03/0.47 % (4027870)Termination phase: shuffling
% 1.03/0.47 % (4027870)Time elapsed: 0.006 s
% 1.03/0.47 % (4027870)Peak memory usage: 10 MB
% 1.03/0.47 % (4027870)Instructions burned: 13 (million)
% 1.03/0.47 % (4027872)Instruction limit reached!
% 1.03/0.47 % (4027872)------------------------------
% 1.03/0.47 % (4027872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.47 % (4027872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.47 % (4027872)CaDiCaL version: 2.1.3
% 1.03/0.47 % (4027872)Termination reason: Instruction limit
% 1.03/0.50 % (4027872)Termination phase: shuffling
% 1.03/0.50 % (4027872)Time elapsed: 0.007 s
% 1.03/0.50 % (4027872)Peak memory usage: 10 MB
% 1.03/0.50 % (4027872)Instructions burned: 30 (million)
% 1.03/0.50 % (4027880)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2790449257:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.03/0.50 % (4027876)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=1994537184:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.03/0.50 % (4027877)lrs+10_1_si=on:cs=on:random_seed=2052013829:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.03/0.50 % (4027878)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.03/0.50 % (4027877)Instruction limit reached!
% 1.03/0.50 % (4027877)------------------------------
% 1.03/0.50 % (4027877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.50 % (4027877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.50 % (4027877)CaDiCaL version: 2.1.3
% 1.03/0.50 % (4027877)Termination reason: Instruction limit
% 1.03/0.50 % (4027877)Termination phase: shuffling
% 1.03/0.50 % (4027877)Time elapsed: 0.004 s
% 1.03/0.50 % (4027877)Peak memory usage: 10 MB
% 1.03/0.50 % (4027877)Instructions burned: 8 (million)
% 1.03/0.50 % (4027878)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=259978620:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.03/0.50 % (4027879)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1230158307:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.03/0.50 % (4027878)Instruction limit reached!
% 1.03/0.50 % (4027878)------------------------------
% 1.03/0.50 % (4027878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.50 % (4027878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.50 % (4027878)CaDiCaL version: 2.1.3
% 1.03/0.50 % (4027878)Termination reason: Instruction limit
% 1.03/0.50 % (4027878)Termination phase: shuffling
% 1.03/0.50 % (4027878)Time elapsed: 0.002 s
% 1.03/0.50 % (4027878)Peak memory usage: 10 MB
% 1.03/0.50 % (4027878)Instructions burned: 3 (million)
% 1.03/0.50 % (4027880)Refutation not found, incomplete strategy
% 1.03/0.50 % (4027880)------------------------------
% 1.03/0.50 % (4027880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.50 % (4027880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.50 % (4027880)CaDiCaL version: 2.1.3
% 1.03/0.50 % (4027880)Termination reason: Refutation not found, incomplete strategy
% 1.03/0.50 % (4027880)Time elapsed: 0.016 s
% 1.03/0.50 % (4027880)Peak memory usage: 13 MB
% 1.03/0.50 % (4027880)Instructions burned: 66 (million)
% 1.03/0.50 % (4027858)Instruction limit reached!
% 1.03/0.50 % (4027858)------------------------------
% 1.03/0.50 % (4027858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.50 % (4027858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.50 % (4027858)CaDiCaL version: 2.1.3
% 1.03/0.50 % (4027858)Termination reason: Instruction limit
% 1.03/0.50 % (4027858)Termination phase: Saturation
% 1.03/0.50 % (4027858)Time elapsed: 0.069 s
% 1.03/0.50 % (4027858)Peak memory usage: 13 MB
% 1.03/0.50 % (4027858)Instructions burned: 158 (million)
% 1.03/0.50 % (4027880)------------------------------
% 1.03/0.50 % (4027880)------------------------------
% 1.03/0.50 % (4027879)Instruction limit reached!
% 1.03/0.50 % (4027879)------------------------------
% 1.03/0.50 % (4027879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.50 % (4027879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.50 % (4027879)CaDiCaL version: 2.1.3
% 1.03/0.50 % (4027879)Termination reason: Instruction limit
% 1.03/0.50 % (4027879)Termination phase: Property scanning
% 1.03/0.50 % (4027879)Time elapsed: 0.017 s
% 1.03/0.50 % (4027879)Peak memory usage: 11 MB
% 1.03/0.50 % (4027879)Instructions burned: 39 (million)
% 1.03/0.50 % (4027885)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1938717070:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.03/0.50 % (4027889)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1905549792:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.03/0.51 % (4027887)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=88111534:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.03/0.51 % (4027889)Instruction limit reached!
% 1.03/0.51 % (4027889)------------------------------
% 1.03/0.51 % (4027889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027889)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027889)Termination reason: Instruction limit
% 1.03/0.51 % (4027889)Termination phase: shuffling
% 1.03/0.51 % (4027889)Time elapsed: 0.004 s
% 1.03/0.51 % (4027889)Peak memory usage: 10 MB
% 1.03/0.51 % (4027889)Instructions burned: 17 (million)
% 1.03/0.51 % (4027888)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3066756476:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.03/0.51 % (4027887)Instruction limit reached!
% 1.03/0.51 % (4027887)------------------------------
% 1.03/0.51 % (4027887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027876)Instruction limit reached!
% 1.03/0.51 % (4027876)------------------------------
% 1.03/0.51 % (4027876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027885)Instruction limit reached!
% 1.03/0.51 % (4027885)------------------------------
% 1.03/0.51 % (4027885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027887)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027887)Termination reason: Instruction limit
% 1.03/0.51 % (4027887)Termination phase: Property scanning
% 1.03/0.51 % (4027887)Time elapsed: 0.018 s
% 1.03/0.51 % (4027876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027887)Peak memory usage: 10 MB
% 1.03/0.51 % (4027887)Instructions burned: 28 (million)
% 1.03/0.51 % (4027885)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027876)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027885)Termination reason: Instruction limit
% 1.03/0.51 % (4027885)Termination phase: Property scanning
% 1.03/0.51 % (4027876)Termination reason: Instruction limit
% 1.03/0.51 % (4027876)Termination phase: Preprocessing 2
% 1.03/0.51 % (4027885)Time elapsed: 0.020 s
% 1.03/0.51 % (4027876)Time elapsed: 0.045 s
% 1.03/0.51 % (4027885)Peak memory usage: 10 MB
% 1.03/0.51 % (4027876)Peak memory usage: 11 MB
% 1.03/0.51 % (4027885)Instructions burned: 26 (million)
% 1.03/0.51 % (4027876)Instructions burned: 90 (million)
% 1.03/0.51 % (4027894)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=612111389:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.03/0.51 % (4027890)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4162184694:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.03/0.51 % (4027890)Instruction limit reached!
% 1.03/0.51 % (4027890)------------------------------
% 1.03/0.51 % (4027890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027890)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027890)Termination reason: Instruction limit
% 1.03/0.51 % (4027890)Termination phase: shuffling
% 1.03/0.51 % (4027890)Time elapsed: 0.001 s
% 1.03/0.51 % (4027890)Peak memory usage: 10 MB
% 1.03/0.51 % (4027890)Instructions burned: 2 (million)
% 1.03/0.51 % (4027894)Instruction limit reached!
% 1.03/0.51 % (4027894)------------------------------
% 1.03/0.51 % (4027894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027894)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027894)Termination reason: Instruction limit
% 1.03/0.51 % (4027894)Termination phase: shuffling
% 1.03/0.51 % (4027894)Time elapsed: 0.006 s
% 1.03/0.51 % (4027894)Peak memory usage: 10 MB
% 1.03/0.51 % (4027894)Instructions burned: 27 (million)
% 1.03/0.51 % (4027898)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.03/0.51 % (4027898)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.03/0.51 % (4027898)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=937288105:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.03/0.51 % (4027897)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1022346726:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.03/0.51 % (4027896)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2971374863:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.03/0.51 % (4027902)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2589278398:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.03/0.51 % (4027901)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.03/0.51 % (4027901)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=2153842046:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.03/0.51 % (4027898)Instruction limit reached!
% 1.03/0.51 % (4027898)------------------------------
% 1.03/0.51 % (4027898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027898)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027898)Termination reason: Instruction limit
% 1.03/0.51 % (4027898)Termination phase: shuffling
% 1.03/0.51 % (4027898)Time elapsed: 0.007 s
% 1.03/0.51 % (4027898)Peak memory usage: 10 MB
% 1.03/0.51 % (4027898)Instructions burned: 16 (million)
% 1.03/0.51 % (4027902)Instruction limit reached!
% 1.03/0.51 % (4027902)------------------------------
% 1.03/0.51 % (4027902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027902)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027902)Termination reason: Instruction limit
% 1.03/0.51 % (4027902)Termination phase: shuffling
% 1.03/0.51 % (4027902)Time elapsed: 0.007 s
% 1.03/0.51 % (4027902)Peak memory usage: 10 MB
% 1.03/0.51 % (4027902)Instructions burned: 31 (million)
% 1.03/0.51 % (4027896)Instruction limit reached!
% 1.03/0.51 % (4027896)------------------------------
% 1.03/0.51 % (4027896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027896)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027896)Termination reason: Instruction limit
% 1.03/0.51 % (4027896)Termination phase: shuffling
% 1.03/0.51 % (4027896)Time elapsed: 0.010 s
% 1.03/0.51 % (4027896)Peak memory usage: 10 MB
% 1.03/0.51 % (4027896)Instructions burned: 23 (million)
% 1.03/0.51 % (4027901)Instruction limit reached!
% 1.03/0.51 % (4027901)------------------------------
% 1.03/0.51 % (4027901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027901)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027901)Termination reason: Instruction limit
% 1.03/0.51 % (4027901)Termination phase: shuffling
% 1.03/0.51 % (4027901)Time elapsed: 0.004 s
% 1.03/0.51 % (4027901)Peak memory usage: 10 MB
% 1.03/0.51 % (4027901)Instructions burned: 8 (million)
% 1.03/0.51 % (4027909)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=837855127:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.03/0.51 % (4027908)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1400101332:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.03/0.51 % (4027909)Instruction limit reached!
% 1.03/0.51 % (4027909)------------------------------
% 1.03/0.51 % (4027909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027909)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027909)Termination reason: Instruction limit
% 1.03/0.51 % (4027909)Termination phase: shuffling
% 1.03/0.51 % (4027909)Time elapsed: 0.006 s
% 1.03/0.51 % (4027909)Peak memory usage: 10 MB
% 1.03/0.51 % (4027909)Instructions burned: 28 (million)
% 1.03/0.51 % (4027897)Instruction limit reached!
% 1.03/0.51 % (4027897)------------------------------
% 1.03/0.51 % (4027897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027897)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027897)Termination reason: Instruction limit
% 1.03/0.51 % (4027897)Termination phase: Preprocessing 3
% 1.03/0.51 % (4027897)Time elapsed: 0.027 s
% 1.03/0.51 % (4027897)Peak memory usage: 11 MB
% 1.03/0.51 % (4027897)Instructions burned: 60 (million)
% 1.03/0.51 % (4027911)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1654482310:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.03/0.51 % (4027910)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4143871970:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.03/0.51 % (4027908)Instruction limit reached!
% 1.03/0.51 % (4027908)------------------------------
% 1.03/0.51 % (4027908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027908)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027908)Termination reason: Instruction limit
% 1.03/0.51 % (4027908)Termination phase: shuffling
% 1.03/0.51 % (4027908)Time elapsed: 0.004 s
% 1.03/0.51 % (4027908)Peak memory usage: 10 MB
% 1.03/0.51 % (4027908)Instructions burned: 9 (million)
% 1.03/0.51 % (4027855) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4027847-4027855"...
% 1.03/0.51 % (4027855)...printing done.
% 1.03/0.51 % (4027910)Instruction limit reached!
% 1.03/0.51 % (4027910)------------------------------
% 1.03/0.51 % (4027910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.51 % (4027910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.51 % (4027910)CaDiCaL version: 2.1.3
% 1.03/0.51 % (4027910)Termination reason: Instruction limit
% 1.03/0.51 % (4027910)Termination phase: shuffling
% 1.03/0.51 % (4027910)Time elapsed: 0.010 s
% 1.03/0.51 % (4027910)Peak memory usage: 10 MB
% 1.03/0.51 % (4027910)Instructions burned: 21 (million)
% 1.03/0.51 % (4027855)Refutation found. Thanks to Tanya!
% 1.03/0.51 % SZS status Theorem for theBenchmark
% 1.03/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.03/0.52 % (4027855)------------------------------
% 1.03/0.52 % (4027855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (4027855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (4027855)CaDiCaL version: 2.1.3
% 1.03/0.52 % (4027855)Termination reason: Refutation
% 1.03/0.52 % (4027855)Time elapsed: 0.166 s
% 1.03/0.52 % (4027855)Peak memory usage: 16 MB
% 1.03/0.52 % (4027855)Instructions burned: 292 (million)
% 1.03/0.52 % (4027847)Success in time 0.221 s
% 1.03/0.52 % Vampire exiting
%------------------------------------------------------------------------------