%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU559^1 : TPTP v9.3.1. Released v3.7.0.
% 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 08:30:04 AM UTC 2026
% Result : Theorem 0.88s 0.42s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 1258 ( 328 equ; 0 cnn)
% Maximal formula atoms : 78 ( 57 avg)
% Number of connectives : 667 ( 15 ~; 5 |; 228 &; 99 @)
% ( 0 <=>; 316 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 27 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 151 ( 147 usr; 81 con; 0-4 aty)
% ( 4 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 37 ( 15 ^; 18 !; 4 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_92,type,
vIMP: $o > $o > $o ).
thf(func_def_93,type,
vNOT: $o > $o ).
thf(func_def_94,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_95,type,
vAND: $o > $o > $o ).
thf(func_def_96,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_97,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_98,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_99,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_100,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_101,type,
vIFF: $o > $o > $o ).
thf(func_def_102,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_105,type,
vOR: $o > $o > $o ).
thf(func_def_106,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_109,type,
sK2: $i > ( $i > $o ) > $i ).
thf(func_def_110,type,
sK3: $i > $i > $i ).
thf(func_def_111,type,
sK4: $i > $i ).
thf(func_def_112,type,
sK5: $i > $i ).
thf(func_def_113,type,
sK6: $o > $i > $i > $i ).
thf(func_def_114,type,
sK7: ( $i > $o ) > $i > $i ).
thf(func_def_115,type,
sK8: $i > ( $i > $o ) > $i ).
thf(func_def_116,type,
sK9: $i > $i > $i ).
thf(func_def_117,type,
sK10: $i > $i > $i ).
thf(func_def_118,type,
sK11: ( $i > $o ) > $i ).
thf(func_def_119,type,
sK12: $i > $i > $i ).
thf(func_def_120,type,
sK13: ( $i > $o ) > $i > $i ).
thf(func_def_121,type,
sK14: $i > $i ).
thf(func_def_122,type,
sK15: $i > $i > $i ).
thf(func_def_123,type,
sK16: ( $i > $o ) > $i > $i ).
thf(func_def_124,type,
sK17: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_125,type,
sK18: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_126,type,
sK19: ( $i > $o ) > $i ).
thf(func_def_127,type,
sK20: ( $i > $o ) > $i ).
thf(func_def_129,type,
sK22: ( $i > $o ) > $i ).
thf(func_def_130,type,
sK23: ( $i > $o ) > $i ).
thf(func_def_131,type,
sK24: $i > ( $i > $o ) > $i ).
thf(func_def_132,type,
sK25: ( $i > $o ) > $i > $i ).
thf(func_def_133,type,
sK26: $i > $i ).
thf(func_def_134,type,
sK27: $i > $i ).
thf(func_def_135,type,
sK28: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_136,type,
sK29: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_137,type,
sK30: $i > $i ).
thf(func_def_138,type,
sK31: $i > $i ).
thf(func_def_139,type,
sK32: $i > $i > $i > $i ).
thf(func_def_140,type,
sK33: $i > $i > $i ).
thf(func_def_141,type,
sK34: $i > $i > $i ).
thf(func_def_142,type,
sK35: $i > $i > $i ).
thf(func_def_143,type,
sK36: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_144,type,
sK37: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_145,type,
sK38: ( $i > $o ) > $i > $i ).
thf(func_def_146,type,
sK39: $i > $i > $i ).
thf(func_def_147,type,
sK40: ( $i > $i > $o ) > $i > $i ).
thf(func_def_148,type,
sK41: ( $i > $i > $o ) > $i > $i ).
thf(func_def_149,type,
sK42: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_150,type,
sK43: ( $i > $i > $o ) > $i > $i > $i ).
thf(f78,axiom,
( subset
= ( ^ [X0: $i,X1: $i] :
! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
thf(f79,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( subset @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI1) ).
thf(f80,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ! [X1: $i,X0: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( subset @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f79]) ).
thf(f172,plain,
( subset
= ( ^ [X0: $i,X1: $i] :
! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f78]) ).
thf(f173,plain,
( subset
= ( ^ [Y0: $i,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f172]) ).
thf(f182,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( subset @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f80]) ).
thf(f183,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
=> ( ( in @ X2 @ X0 )
= $true ) )
=> ( ( subset @ X1 @ X0 )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f182]) ).
thf(f231,plain,
( ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( in @ X2 @ X1 )
!= $true ) )
& ( ( subset @ X1 @ X0 )
!= $true ) )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f183]) ).
thf(f232,plain,
( ( exuE2 = $true )
& ( quantDeMorgan2 = $true )
& ( singletonsswitch = $true )
& ( emptyI = $true )
& ( emptyinPowerset = $true )
& ( setadjoinIL = $true )
& ( omega0Ax = $true )
& ( nonemptyImpWitness = $true )
& ( powersetAx = $true )
& ( exuE3u = $true )
& ( emptyinunitempty = $true )
& ( emptysetE = $true )
& ( dsetconstrEL = $true )
& ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( in @ X2 @ X1 )
!= $true ) )
& ( ( subset @ X1 @ X0 )
!= $true ) )
& ( notinemptyset = $true )
& ( exu__Cong = $true )
& ( prop2setI = $true )
& ( exuE1 = $true )
& ( nonemptyI1 = $true )
& ( powersetE = $true )
& ( emptysetimpfalse = $true )
& ( setadjoinOr = $true )
& ( in__Cong = $true )
& ( omega__Cong = $true )
& ( wellorderingAx = $true )
& ( setextAx = $true )
& ( notdexE = $true )
& ( nonemptyI = $true )
& ( quantDeMorgan3 = $true )
& ( uniqinunit = $true )
& ( setunionI = $true )
& ( exuE3e = $true )
& ( emptysetAx = $true )
& ( quantDeMorgan4 = $true )
& ( powerset__Cong = $true )
& ( quantDeMorgan1 = $true )
& ( foundationAx = $true )
& ( dsetconstrI = $true )
& ( setext = $true )
& ( setadjoinAx = $true )
& ( replAx = $true )
& ( subPowSU = $true )
& ( setunion__Cong = $true )
& ( exuI1 = $true )
& ( powersetI = $true )
& ( notinsingleton = $true )
& ( omegaIndAx = $true )
& ( setunionAx = $true )
& ( descr__Cong = $true )
& ( exuI2 = $true )
& ( dsetconstrER = $true )
& ( dsetconstr__Cong = $true )
& ( setadjoinE = $true )
& ( upairsetE = $true )
& ( upairsetIL = $true )
& ( exuEu = $true )
& ( nonemptyE1 = $true )
& ( noeltsimpempty = $true )
& ( descrp = $true )
& ( notdallE = $true )
& ( setunionE = $true )
& ( upairsetIR = $true )
& ( inCongP = $true )
& ( setadjoin__Cong = $true )
& ( omegaSAx = $true )
& ( eqinunit = $true )
& ( emptyInPowerset = $true )
& ( setoftrueEq = $true )
& ( exuI3 = $true )
& ( setbeta = $true )
& ( emptyset__Cong = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( prop2setE = $true )
& ( setadjoinIR = $true )
& ( prop2set2propI = $true ) ),
inference(flattening,[],[f231]) ).
thf(f233,plain,
( ( exuE2 = $true )
& ( quantDeMorgan2 = $true )
& ( singletonsswitch = $true )
& ( emptyI = $true )
& ( emptyinPowerset = $true )
& ( setadjoinIL = $true )
& ( omega0Ax = $true )
& ( nonemptyImpWitness = $true )
& ( powersetAx = $true )
& ( exuE3u = $true )
& ( emptyinunitempty = $true )
& ( emptysetE = $true )
& ( dsetconstrEL = $true )
& ! [X2: $i] :
( ( ( in @ X2 @ sK0 )
= $true )
| ( ( in @ X2 @ sK1 )
!= $true ) )
& ( ( subset @ sK1 @ sK0 )
!= $true )
& ( notinemptyset = $true )
& ( exu__Cong = $true )
& ( prop2setI = $true )
& ( exuE1 = $true )
& ( nonemptyI1 = $true )
& ( powersetE = $true )
& ( emptysetimpfalse = $true )
& ( setadjoinOr = $true )
& ( in__Cong = $true )
& ( omega__Cong = $true )
& ( wellorderingAx = $true )
& ( setextAx = $true )
& ( notdexE = $true )
& ( nonemptyI = $true )
& ( quantDeMorgan3 = $true )
& ( uniqinunit = $true )
& ( setunionI = $true )
& ( exuE3e = $true )
& ( emptysetAx = $true )
& ( quantDeMorgan4 = $true )
& ( powerset__Cong = $true )
& ( quantDeMorgan1 = $true )
& ( foundationAx = $true )
& ( dsetconstrI = $true )
& ( setext = $true )
& ( setadjoinAx = $true )
& ( replAx = $true )
& ( subPowSU = $true )
& ( setunion__Cong = $true )
& ( exuI1 = $true )
& ( powersetI = $true )
& ( notinsingleton = $true )
& ( omegaIndAx = $true )
& ( setunionAx = $true )
& ( descr__Cong = $true )
& ( exuI2 = $true )
& ( dsetconstrER = $true )
& ( dsetconstr__Cong = $true )
& ( setadjoinE = $true )
& ( upairsetE = $true )
& ( upairsetIL = $true )
& ( exuEu = $true )
& ( nonemptyE1 = $true )
& ( noeltsimpempty = $true )
& ( descrp = $true )
& ( notdallE = $true )
& ( setunionE = $true )
& ( upairsetIR = $true )
& ( inCongP = $true )
& ( setadjoin__Cong = $true )
& ( omegaSAx = $true )
& ( eqinunit = $true )
& ( emptyInPowerset = $true )
& ( setoftrueEq = $true )
& ( exuI3 = $true )
& ( setbeta = $true )
& ( emptyset__Cong = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( prop2setE = $true )
& ( setadjoinIR = $true )
& ( prop2set2propI = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f232]) ).
thf(f283,plain,
( subset
= ( ^ [Y0: $i,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f173]) ).
thf(f368,plain,
( ( subset @ sK1 @ sK0 )
!= $true ),
inference(cnf_transformation,[],[f233]) ).
thf(f369,plain,
! [X2: $i] :
( ( ( in @ X2 @ sK0 )
= $true )
| ( ( in @ X2 @ sK1 )
!= $true ) ),
inference(cnf_transformation,[],[f233]) ).
thf(f460,plain,
( ( ^ [Y0: $i,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
@ sK1
@ sK0 )
!= $true ),
inference(definition_unfolding,[],[f368,f283]) ).
thf(f857,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ sK1 )
=> ( in @ Y0 @ sK0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f460]) ).
thf(f858,plain,
( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ sK1 )
=> ( in @ Y0 @ sK0 ) )
@ sK21 ) ),
inference(sigma_proxy_clausification,[],[f857]) ).
thf(f859,plain,
( ( ( in @ sK21 @ sK1 )
=> ( in @ sK21 @ sK0 ) )
= $false ),
inference(beta-eta_normalization,[],[f858]) ).
thf(f860,plain,
( $false
= ( in @ sK21 @ sK0 ) ),
inference(imp_proxy_clausification,[],[f859]) ).
thf(f861,plain,
( ( in @ sK21 @ sK1 )
= $true ),
inference(imp_proxy_clausification,[],[f859]) ).
thf(f1375,plain,
( ( $false = $true )
| ( ( in @ sK21 @ sK1 )
!= $true ) ),
inference(superposition,[],[f860,f369]) ).
thf(f1377,plain,
( ( in @ sK21 @ sK1 )
!= $true ),
inference(trivial_inequality_removal,[],[f1375]) ).
thf(f1388,plain,
$false,
inference(forward_subsumption_resolution,[],[f1377,f861]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU559^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n015.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:53:33 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 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
% 0.20/0.38 % (3560056)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.38 % (3560065)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=126472843:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.38 % (3560067)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.38 % (3560067)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
% 0.20/0.38 % (3560061)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3269789407:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.38 % (3560062)lrs+10_16_si=on:nwc=1.5:random_seed=2389524311:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.38 % (3560065)Instruction limit reached!
% 0.20/0.38 % (3560065)------------------------------
% 0.20/0.38 % (3560065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (3560065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (3560065)CaDiCaL version: 2.1.3
% 0.20/0.38 % (3560065)Termination reason: Instruction limit
% 0.20/0.38 % (3560065)Termination phase: Property scanning
% 0.20/0.38 % (3560063)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3596888793:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.38 % (3560065)Time elapsed: 0.007 s
% 0.20/0.38 % (3560065)Peak memory usage: 11 MB
% 0.20/0.38 % (3560065)Instructions burned: 28 (million)
% 0.20/0.38 % (3560064)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=1132248323: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)
% 0.20/0.38 % (3560066)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3851212958:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.38 % (3560067)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=365724847:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.38 % (3560063)Instruction limit reached!
% 0.20/0.38 % (3560063)------------------------------
% 0.20/0.38 % (3560063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (3560063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (3560063)CaDiCaL version: 2.1.3
% 0.20/0.38 % (3560063)Termination reason: Instruction limit
% 0.20/0.38 % (3560063)Termination phase: shuffling
% 0.20/0.38 % (3560063)Time elapsed: 0.002 s
% 0.20/0.38 % (3560063)Peak memory usage: 10 MB
% 0.20/0.38 % (3560063)Instructions burned: 4 (million)
% 0.20/0.38 % (3560062)Instruction limit reached!
% 0.20/0.38 % (3560062)------------------------------
% 0.20/0.38 % (3560062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (3560062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (3560062)CaDiCaL version: 2.1.3
% 0.20/0.38 % (3560062)Termination reason: Instruction limit
% 0.20/0.38 % (3560062)Termination phase: Property scanning
% 0.20/0.38 % (3560062)Time elapsed: 0.008 s
% 0.20/0.38 % (3560062)Peak memory usage: 10 MB
% 0.20/0.38 % (3560062)Instructions burned: 19 (million)
% 0.20/0.38 % (3560074)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2718491106:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.38 % (3560076)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2706740290:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.38 % (3560074)Instruction limit reached!
% 0.20/0.38 % (3560074)------------------------------
% 0.20/0.38 % (3560074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (3560074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (3560074)CaDiCaL version: 2.1.3
% 0.20/0.38 % (3560074)Termination reason: Instruction limit
% 0.20/0.38 % (3560074)Termination phase: shuffling
% 0.20/0.38 % (3560074)Time elapsed: 0.002 s
% 0.20/0.38 % (3560074)Peak memory usage: 10 MB
% 0.20/0.38 % (3560074)Instructions burned: 4 (million)
% 0.88/0.41 % (3560077)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.88/0.41 % (3560076)Instruction limit reached!
% 0.88/0.41 % (3560076)------------------------------
% 0.88/0.41 % (3560076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.41 % (3560076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.41 % (3560076)CaDiCaL version: 2.1.3
% 0.88/0.41 % (3560076)Termination reason: Instruction limit
% 0.88/0.41 % (3560076)Termination phase: shuffling
% 0.88/0.41 % (3560076)Time elapsed: 0.003 s
% 0.88/0.41 % (3560076)Peak memory usage: 10 MB
% 0.88/0.41 % (3560076)Instructions burned: 6 (million)
% 0.88/0.41 % (3560077)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3247558910:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.88/0.41 % (3560077)Instruction limit reached!
% 0.88/0.41 % (3560077)------------------------------
% 0.88/0.41 % (3560077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.41 % (3560077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.41 % (3560077)CaDiCaL version: 2.1.3
% 0.88/0.41 % (3560077)Termination reason: Instruction limit
% 0.88/0.41 % (3560077)Termination phase: shuffling
% 0.88/0.41 % (3560077)Time elapsed: 0.004 s
% 0.88/0.41 % (3560077)Peak memory usage: 10 MB
% 0.88/0.41 % (3560077)Instructions burned: 9 (million)
% 0.88/0.41 % (3560066)Instruction limit reached!
% 0.88/0.41 % (3560066)------------------------------
% 0.88/0.41 % (3560066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.41 % (3560066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.41 % (3560066)CaDiCaL version: 2.1.3
% 0.88/0.41 % (3560066)Termination reason: Instruction limit
% 0.88/0.41 % (3560066)Termination phase: Saturation
% 0.88/0.41 % (3560066)Time elapsed: 0.035 s
% 0.88/0.41 % (3560066)Peak memory usage: 13 MB
% 0.88/0.41 % (3560066)Instructions burned: 75 (million)
% 0.88/0.41 % (3560081)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
% 0.88/0.41 % (3560081)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.88/0.41 % (3560080)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1560763148:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.88/0.41 % (3560081)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2426312781:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.88/0.41 % (3560061)Instruction limit reached!
% 0.88/0.41 % (3560061)------------------------------
% 0.88/0.41 % (3560061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.41 % (3560061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.41 % (3560061)CaDiCaL version: 2.1.3
% 0.88/0.41 % (3560061)Termination reason: Instruction limit
% 0.88/0.41 % (3560061)Termination phase: Saturation
% 0.88/0.41 % (3560061)Time elapsed: 0.043 s
% 0.88/0.41 % (3560061)Peak memory usage: 13 MB
% 0.88/0.41 % (3560061)Instructions burned: 89 (million)
% 0.88/0.41 % (3560080)Instruction limit reached!
% 0.88/0.41 % (3560080)------------------------------
% 0.88/0.41 % (3560080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.41 % (3560080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.41 % (3560080)CaDiCaL version: 2.1.3
% 0.88/0.41 % (3560080)Termination reason: Instruction limit
% 0.88/0.41 % (3560080)Termination phase: Property scanning
% 0.88/0.41 % (3560080)Time elapsed: 0.005 s
% 0.88/0.41 % (3560080)Peak memory usage: 10 MB
% 0.88/0.41 % (3560080)Instructions burned: 12 (million)
% 0.88/0.41 % (3560083)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=3635165594:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.88/0.41 % (3560081)Instruction limit reached!
% 0.88/0.41 % (3560081)------------------------------
% 0.88/0.41 % (3560081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560081)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560081)Termination reason: Instruction limit
% 0.88/0.42 % (3560081)Termination phase: Saturation
% 0.88/0.42 % (3560081)Time elapsed: 0.009 s
% 0.88/0.42 % (3560081)Peak memory usage: 12 MB
% 0.88/0.42 % (3560081)Instructions burned: 40 (million)
% 0.88/0.42 % (3560084)lrs+10_1_si=on:cs=on:random_seed=2654496771:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.88/0.42 % (3560084)Instruction limit reached!
% 0.88/0.42 % (3560084)------------------------------
% 0.88/0.42 % (3560084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560084)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560084)Termination reason: Instruction limit
% 0.88/0.42 % (3560084)Termination phase: shuffling
% 0.88/0.42 % (3560084)Time elapsed: 0.004 s
% 0.88/0.42 % (3560084)Peak memory usage: 10 MB
% 0.88/0.42 % (3560084)Instructions burned: 9 (million)
% 0.88/0.42 % (3560087)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.88/0.42 % (3560088)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3298282789:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.88/0.42 % (3560067)Instruction limit reached!
% 0.88/0.42 % (3560067)------------------------------
% 0.88/0.42 % (3560067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560067)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560067)Termination reason: Instruction limit
% 0.88/0.42 % (3560067)Termination phase: Saturation
% 0.88/0.42 % (3560067)Time elapsed: 0.066 s
% 0.88/0.42 % (3560067)Peak memory usage: 13 MB
% 0.88/0.42 % (3560067)Instructions burned: 158 (million)
% 0.88/0.42 % (3560087)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=3062408489:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.88/0.42 % (3560092)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3457644409:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.88/0.42 % (3560094)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2495595772:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.88/0.42 % (3560087)Instruction limit reached!
% 0.88/0.42 % (3560087)------------------------------
% 0.88/0.42 % (3560087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560087)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560087)Termination reason: Instruction limit
% 0.88/0.42 % (3560087)Termination phase: shuffling
% 0.88/0.42 % (3560087)Time elapsed: 0.002 s
% 0.88/0.42 % (3560087)Peak memory usage: 10 MB
% 0.88/0.42 % (3560087)Instructions burned: 4 (million)
% 0.88/0.42 % (3560094)Instruction limit reached!
% 0.88/0.42 % (3560094)------------------------------
% 0.88/0.42 % (3560094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560094)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560094)Termination reason: Instruction limit
% 0.88/0.42 % (3560094)Termination phase: Property scanning
% 0.88/0.42 % (3560094)Time elapsed: 0.004 s
% 0.88/0.42 % (3560094)Peak memory usage: 11 MB
% 0.88/0.42 % (3560094)Instructions burned: 18 (million)
% 0.88/0.42 % (3560090)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1286361775:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.88/0.42 % (3560088)Instruction limit reached!
% 0.88/0.42 % (3560088)------------------------------
% 0.88/0.42 % (3560088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560088)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560088)Termination reason: Instruction limit
% 0.88/0.42 % (3560088)Termination phase: Property scanning
% 0.88/0.42 % (3560088)Time elapsed: 0.020 s
% 0.88/0.42 % (3560088)Peak memory usage: 11 MB
% 0.88/0.42 % (3560088)Instructions burned: 45 (million)
% 0.88/0.42 % (3560083)Instruction limit reached!
% 0.88/0.42 % (3560083)------------------------------
% 0.88/0.42 % (3560083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560083)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560083)Termination reason: Instruction limit
% 0.88/0.42 % (3560083)Termination phase: Saturation
% 0.88/0.42 % (3560083)Time elapsed: 0.038 s
% 0.88/0.42 % (3560083)Peak memory usage: 13 MB
% 0.88/0.42 % (3560083)Instructions burned: 89 (million)
% 0.88/0.42 % (3560092)Instruction limit reached!
% 0.88/0.42 % (3560092)------------------------------
% 0.88/0.42 % (3560092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560092)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560092)Termination reason: Instruction limit
% 0.88/0.42 % (3560092)Termination phase: Property scanning
% 0.88/0.42 % (3560092)Time elapsed: 0.012 s
% 0.88/0.42 % (3560092)Peak memory usage: 11 MB
% 0.88/0.42 % (3560092)Instructions burned: 25 (million)
% 0.88/0.42 % (3560099)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=880539348:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.88/0.42 % (3560099)Instruction limit reached!
% 0.88/0.42 % (3560099)------------------------------
% 0.88/0.42 % (3560099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560099)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560099)Termination reason: Instruction limit
% 0.88/0.42 % (3560099)Termination phase: Property scanning
% 0.88/0.42 % (3560099)Time elapsed: 0.003 s
% 0.88/0.42 % (3560099)Peak memory usage: 10 MB
% 0.88/0.42 % (3560099)Instructions burned: 16 (million)
% 0.88/0.42 % (3560098)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1787992165:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.88/0.42 % (3560101)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2948899008: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)
% 0.88/0.42 % (3560105)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4096149952:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.88/0.42 % (3560102)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1738960338:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.88/0.42 % (3560101)Instruction limit reached!
% 0.88/0.42 % (3560101)------------------------------
% 0.88/0.42 % (3560101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560101)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560101)Termination reason: Instruction limit
% 0.88/0.42 % (3560101)Termination phase: shuffling
% 0.88/0.42 % (3560101)Time elapsed: 0.001 s
% 0.88/0.42 % (3560101)Peak memory usage: 10 MB
% 0.88/0.42 % (3560101)Instructions burned: 3 (million)
% 0.88/0.42 % (3560103)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2697379538:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.88/0.42 % (3560102)Instruction limit reached!
% 0.88/0.42 % (3560102)------------------------------
% 0.88/0.42 % (3560102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560102)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560102)Termination reason: Instruction limit
% 0.88/0.42 % (3560102)Termination phase: Property scanning
% 0.88/0.42 % (3560102)Time elapsed: 0.011 s
% 0.88/0.42 % (3560102)Peak memory usage: 10 MB
% 0.88/0.42 % (3560102)Instructions burned: 28 (million)
% 0.88/0.42 % (3560090) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3560056-3560090"...
% 0.88/0.42 % (3560103)Instruction limit reached!
% 0.88/0.42 % (3560103)------------------------------
% 0.88/0.42 % (3560103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560103)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560103)Termination reason: Instruction limit
% 0.88/0.42 % (3560103)Termination phase: Function definition elimination
% 0.88/0.42 % (3560103)Time elapsed: 0.010 s
% 0.88/0.42 % (3560103)Peak memory usage: 10 MB
% 0.88/0.42 % (3560103)Instructions burned: 24 (million)
% 0.88/0.42 % (3560090)...printing done.
% 0.88/0.42 % (3560105)Instruction limit reached!
% 0.88/0.42 % (3560105)------------------------------
% 0.88/0.42 % (3560105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560105)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560105)Termination reason: Instruction limit
% 0.88/0.42 % (3560105)Termination phase: Saturation
% 0.88/0.42 % (3560105)Time elapsed: 0.016 s
% 0.88/0.42 % (3560105)Peak memory usage: 13 MB
% 0.88/0.42 % (3560105)Instructions burned: 62 (million)
% 0.88/0.42 % (3560090)Refutation found. Thanks to Tanya!
% 0.88/0.42 % SZS status Theorem for theBenchmark
% 0.88/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.88/0.42 % (3560090)------------------------------
% 0.88/0.42 % (3560090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (3560090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (3560090)CaDiCaL version: 2.1.3
% 0.88/0.42 % (3560090)Termination reason: Refutation
% 0.88/0.42 % (3560090)Time elapsed: 0.038 s
% 0.88/0.42 % (3560090)Peak memory usage: 13 MB
% 0.88/0.42 % (3560090)Instructions burned: 80 (million)
% 0.88/0.42 % (3560056)Success in time 0.164 s
% 0.88/0.42 % Vampire exiting
%------------------------------------------------------------------------------