%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU624^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 08:30:23 AM UTC 2026
% Result : Theorem 0.52s 0.45s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 18 unt; 0 typ; 5 def)
% Number of atoms : 2798 ( 790 equ; 0 cnn)
% Maximal formula atoms : 144 ( 55 avg)
% Number of connectives : 1412 ( 54 ~; 56 |; 577 &; 150 @)
% ( 8 <=>; 567 =>; 0 <=; 0 <~>)
% Maximal formula depth : 150 ( 26 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 291 ( 288 usr; 163 con; 0-4 aty)
% Number of variables : 60 ( 0 sgn 45 !; 15 ?; 60 :)
% 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,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_166,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_167,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_168,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_169,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_170,type,
vAND: $o > $o > $o ).
thf(func_def_171,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_172,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_173,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_174,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_175,type,
vIMP: $o > $o > $o ).
thf(func_def_176,type,
vNOT: $o > $o ).
thf(func_def_177,type,
sP0: $i > $i > $o ).
thf(func_def_178,type,
sP1: $i > $o ).
thf(func_def_179,type,
sP2: $o ).
thf(func_def_181,type,
sK4: $i > $i > $i ).
thf(func_def_186,type,
sK9: $i > $i > $i ).
thf(func_def_187,type,
sK10: $i > $i > $i ).
thf(func_def_193,type,
sK16: $i > $o ).
thf(func_def_196,type,
sK19: $i > ( $i > $o ) > $i ).
thf(func_def_203,type,
sK26: $i > $o ).
thf(func_def_211,type,
sK34: $i > $o ).
thf(func_def_213,type,
sK36: $i > ( $i > $o ) > $i ).
thf(func_def_217,type,
sK40: $o ).
thf(func_def_223,type,
sK46: $i > $i > $i ).
thf(func_def_226,type,
sK49: $i > $o ).
thf(func_def_228,type,
sK51: $i > ( $i > $o ) > $i ).
thf(func_def_234,type,
sK57: $i > $o ).
thf(func_def_235,type,
sK58: $i > $o ).
thf(func_def_236,type,
sK59: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_237,type,
sK60: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_247,type,
sK70: $i > $o ).
thf(func_def_251,type,
sK74: $i > $i > $i ).
thf(func_def_258,type,
sK81: $i > $o ).
thf(func_def_260,type,
sK83: $o ).
thf(func_def_265,type,
sK88: $i > $i > $i ).
thf(func_def_269,type,
sK92: $i > $i > $i ).
thf(func_def_270,type,
sK93: $i > $o ).
thf(func_def_282,type,
sK105: $i > $i ).
thf(func_def_290,type,
sK113: $i > ( $i > $o ) > $i ).
thf(func_def_291,type,
sK114: $i > $o ).
thf(func_def_305,type,
sK128: $i > $i ).
thf(func_def_309,type,
sK132: $i > $o ).
thf(func_def_313,type,
sK136: $i > $i ).
thf(func_def_314,type,
sK137: $o ).
thf(func_def_315,type,
sK138: $o ).
thf(func_def_322,type,
sK145: $i > $o ).
thf(func_def_330,type,
sK153: $o ).
thf(func_def_341,type,
sK164: $i > $o ).
thf(func_def_342,type,
sK165: $i > $o ).
thf(func_def_345,type,
sK168: ( $i > $o ) > $i ).
thf(func_def_346,type,
sK169: ( $i > $o ) > $i ).
thf(func_def_347,type,
sK170: $i > $o ).
thf(func_def_353,type,
sK176: $i > $o ).
thf(func_def_355,type,
sK178: ( $i > $o ) > $i > $i ).
thf(func_def_356,type,
sK179: $i > $o ).
thf(func_def_359,type,
sK182: $i > ( $i > $o ) > $i ).
thf(func_def_365,type,
sK188: $i > $i > $o ).
thf(func_def_367,type,
sK190: $i > $i ).
thf(func_def_368,type,
sK191: $i > $i ).
thf(func_def_369,type,
sK192: $i > ( $i > $i > $o ) > $i ).
thf(func_def_370,type,
sK193: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_371,type,
sK194: $i > ( $i > $i > $o ) > $i ).
thf(func_def_372,type,
sK195: ( $i > $o ) > $i ).
thf(func_def_373,type,
sK196: $i > $o ).
thf(func_def_374,type,
sK197: $i > $o ).
thf(func_def_383,type,
sK206: $o ).
thf(func_def_395,type,
sK218: $i > $i ).
thf(func_def_396,type,
sK219: ( $i > $o ) > $i > $i ).
thf(func_def_398,type,
sK221: $i > $o ).
thf(func_def_403,type,
sK226: $i > $o ).
thf(func_def_424,type,
sK247: $i > $i ).
thf(func_def_432,type,
sK255: $i > $o ).
thf(func_def_434,type,
sK257: ( $i > $o ) > $i > $i ).
thf(func_def_438,type,
sK261: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_439,type,
sK262: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_440,type,
sK263: $i > $o ).
thf(func_def_441,type,
sK264: $i > $o ).
thf(func_def_450,type,
sK273: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_451,type,
sK274: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_454,type,
sK277: $i > $o ).
thf(func_def_455,type,
sK278: $i > $o ).
thf(func_def_459,type,
sK282: $i > $i > $i ).
thf(func_def_481,type,
sK304: $o > $i > $i > $i ).
thf(func_def_484,type,
sK307: $o ).
thf(func_def_486,type,
sK309: $i > $i ).
thf(func_def_487,type,
sK310: $i > $i ).
thf(func_def_488,type,
sK311: $i > $i ).
thf(func_def_489,type,
sK312: $i > $i ).
thf(func_def_490,type,
sK313: $i > $i ).
thf(func_def_491,type,
sK314: $i > $i > $i > $i ).
thf(func_def_492,type,
sK315: $i > $i ).
thf(func_def_493,type,
sK316: $i > $i ).
thf(func_def_494,type,
sK317: $i > $i ).
thf(func_def_495,type,
sK318: $i > $i ).
thf(func_def_496,type,
sK319: $i > $i > $i ).
thf(func_def_497,type,
sK320: $i > $i > $i > $i ).
thf(func_def_498,type,
sK321: $i > $i > $i > $i ).
thf(func_def_499,type,
sK322: $i > $i > $i > $i ).
thf(func_def_500,type,
sK323: $i > $i > $i ).
thf(func_def_501,type,
sK324: $i > $i > $i ).
thf(func_def_502,type,
sK325: $i > $i > $i ).
thf(func_def_503,type,
sK326: $i > $i > $i ).
thf(func_def_517,type,
sK340: $o ).
thf(func_def_519,type,
sK342: $i > $i ).
thf(func_def_521,type,
sK344: $i > $i ).
thf(func_def_525,type,
sK348: $i > $o ).
thf(func_def_526,type,
sK349: $i > $i ).
thf(func_def_527,type,
sK350: ( $i > $o ) > $i ).
thf(func_def_542,type,
sK365: ( $i > $o ) > $i ).
thf(func_def_543,type,
sK366: $i > $o ).
thf(func_def_544,type,
sK367: $i > $i ).
thf(func_def_545,type,
sK368: $i > $i > $i ).
thf(func_def_549,type,
sK372: $i > $o ).
thf(func_def_555,type,
sK378: $i > $o ).
thf(f50,axiom,
( upairsetE
= ( ! [X1: $i,X2: $i,X0: $i] :
( ( in @ X2 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
=> ( ( X2 = X1 )
| ( X2 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairsetE) ).
thf(f146,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
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ! [X2: $i,X0: $i,X1: $i] :
( ( in @ X2 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
=> ( ( X2 = X1 )
| ( X2 = X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairset2E) ).
thf(f147,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
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ! [X2: $i,X0: $i,X1: $i] :
( ( in @ X2 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
=> ( ( X2 = X1 )
| ( X2 = X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f146]) ).
thf(f231,plain,
( upairsetE
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ ( setadjoin @ X2 @ ( setadjoin @ X0 @ emptyset ) ) )
=> ( ( X0 = X1 )
| ( X1 = X2 ) ) ) ) ),
inference(rectify,[],[f50]) ).
thf(f232,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( setadjoin @ X2 @ ( setadjoin @ X0 @ emptyset ) ) )
= $true )
=> ( ( X1 = X2 )
| ( X0 = X1 ) ) )
<=> ( upairsetE = $true ) ),
inference(fool_elimination,[],[f231]) ).
thf(f247,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
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) )
=> ( ( X0 = X2 )
| ( X0 = X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f147]) ).
thf(f248,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 )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ! [X2: $i,X1: $i,X0: $i] :
( ( $true
= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) ) )
=> ( ( X0 = X2 )
| ( X0 = X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f247]) ).
thf(f505,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( ( in @ X1 @ ( setadjoin @ X2 @ ( setadjoin @ X0 @ emptyset ) ) )
!= $true ) )
<=> ( upairsetE = $true ) ),
inference(ennf_transformation,[],[f232]) ).
thf(f506,plain,
( ! [X1: $i,X0: $i,X2: $i] :
( ( X0 = X1 )
| ( ( in @ X1 @ ( setadjoin @ X2 @ ( setadjoin @ X0 @ emptyset ) ) )
!= $true )
| ( X1 = X2 ) )
<=> ( upairsetE = $true ) ),
inference(flattening,[],[f505]) ).
thf(f552,plain,
( ? [X2: $i,X1: $i,X0: $i] :
( ( X0 != X2 )
& ( X0 != X1 )
& ( $true
= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) ) ) )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $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,[],[f248]) ).
thf(f553,plain,
( ( wellorderingAx = $true )
& ( subsetE2 = $true )
& ( subsetI2 = $true )
& ( exuI1 = $true )
& ( upairset2IR = $true )
& ( notinemptyset = $true )
& ( in__Cong = $true )
& ( powersetI = $true )
& ( eqimpsubset1 = $true )
& ( setunionE = $true )
& ( binintersectSubset5 = $true )
& ( dsetconstrI = $true )
& ( setadjoinIR = $true )
& ( exuI3 = $true )
& ( symdiffI1 = $true )
& ( powerset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( quantDeMorgan2 = $true )
& ( omega0Ax = $true )
& ( inCongP = $true )
& ( eqimpsubset2 = $true )
& ( singletonsswitch = $true )
& ( setadjoinSub = $true )
& ( binunionEcases = $true )
& ( setminusER = $true )
& ( quantDeMorgan4 = $true )
& ( setminusIRneg = $true )
& ( setminusEL = $true )
& ( subsetE = $true )
& ( bs114d = $true )
& ( setunionI = $true )
& ( setminusSubset2 = $true )
& ( omegaSAx = $true )
& ( powersetAx = $true )
& ( exuI2 = $true )
& ( upairsetIL = $true )
& ( nonemptyE1 = $true )
& ( quantDeMorgan3 = $true )
& ( subsetemptysetimpeq = $true )
& ( kpairp = $true )
& ( secondinupair = $true )
& ( replAx = $true )
& ( emptyInPowerset = $true )
& ( emptysetsubset = $true )
& ( omegaIndAx = $true )
& ( setadjoinOr = $true )
& ( notinsingleton = $true )
& ( nonemptyI = $true )
& ( sepSubset = $true )
& ( setadjoinE = $true )
& ( setminusERneg = $true )
& ( binintersectI = $true )
& ( setext = $true )
& ( binintersectRsub = $true )
& ( setadjoin__Cong = $true )
& ( powersetI1 = $true )
& ( emptysetAx = $true )
& ( binintersectLsub = $true )
& ( noeltsimpempty = $true )
& ( notdexE = $true )
& ( emptyI = $true )
& ( kpairiskpair = $true )
& ( setukpairIL = $true )
& ( symdiffIneg2 = $true )
& ( setminusLsub = $true )
& ( binunionIL = $true )
& ( inPowerset = $true )
& ( upairsetIR = $true )
& ( dsetconstrEL = $true )
& ( notdallE = $true )
& ( symdiffE = $true )
& ( emptyE1 = $true )
& ( exuE3e = $true )
& ( binintersectSubset2 = $true )
& ( notequalI2 = $true )
& ( setminusILneg = $true )
& ( notequalI1 = $true )
& ( prop2setE = $true )
& ( singletoninpowunion = $true )
& ( binintersectER = $true )
& ( descr__Cong = $true )
& ( setukpairIR = $true )
& ( exuE1 = $true )
& ( singletoninpowerset = $true )
& ( subsetRefl = $true )
& ( upairsetE = $true )
& ( subsetTrans = $true )
& ( subPowSU = $true )
& ( descrp = $true )
& ( setminusI = $true )
& ( emptysetimpfalse = $true )
& ( setadjoinSub2 = $true )
& ( quantDeMorgan1 = $true )
& ( nonemptyI1 = $true )
& ( subset2powerset = $true )
& ( omega__Cong = $true )
& ( singletonsubset = $true )
& ( setextAx = $true )
& ( binunionRsub = $true )
& ( emptysetE = $true )
& ( exuE2 = $true )
& ( foundationAx = $true )
& ( powersetE = $true )
& ( powersetE1 = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( emptyset__Cong = $true )
& ( disjointsetsI1 = $true )
& ( binintersectEL = $true )
& ( setminusSubset1 = $true )
& ( setadjoinAx = $true )
& ( vacuousDall = $true )
& ( prop2set2propI = $true )
& ? [X1: $i,X2: $i,X0: $i] :
( ( X0 != X2 )
& ( X0 != X1 )
& ( $true
= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) ) ) )
& ( emptyinPowerset = $true )
& ( setminusELneg = $true )
& ( subsetI1 = $true )
& ( exuEu = $true )
& ( symdiffI2 = $true )
& ( symdiffIneg1 = $true )
& ( notsubsetI = $true )
& ( binunionLsub = $true )
& ( sepInPowerset = $true )
& ( setoftrueEq = $true )
& ( eqinunit = $true )
& ( binintersectSubset3 = $true )
& ( setunionAx = $true )
& ( dsetconstr__Cong = $true )
& ( setextsub = $true )
& ( dsetconstrER = $true )
& ( binunionE = $true )
& ( emptyinunitempty = $true )
& ( setbeta = $true )
& ( nonemptyImpWitness = $true )
& ( setadjoinIL = $true )
& ( setunion__Cong = $true )
& ( uniqinunit = $true )
& ( prop2setI = $true )
& ( powersetsubset = $true )
& ( binunionIR = $true ) ),
inference(flattening,[],[f552]) ).
thf(f914,plain,
( ( wellorderingAx = $true )
& ( subsetE2 = $true )
& ( subsetI2 = $true )
& ( exuI1 = $true )
& ( upairset2IR = $true )
& ( notinemptyset = $true )
& ( in__Cong = $true )
& ( powersetI = $true )
& ( eqimpsubset1 = $true )
& ( setunionE = $true )
& ( binintersectSubset5 = $true )
& ( dsetconstrI = $true )
& ( setadjoinIR = $true )
& ( exuI3 = $true )
& ( symdiffI1 = $true )
& ( powerset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( quantDeMorgan2 = $true )
& ( omega0Ax = $true )
& ( inCongP = $true )
& ( eqimpsubset2 = $true )
& ( singletonsswitch = $true )
& ( setadjoinSub = $true )
& ( binunionEcases = $true )
& ( setminusER = $true )
& ( quantDeMorgan4 = $true )
& ( setminusIRneg = $true )
& ( setminusEL = $true )
& ( subsetE = $true )
& ( bs114d = $true )
& ( setunionI = $true )
& ( setminusSubset2 = $true )
& ( omegaSAx = $true )
& ( powersetAx = $true )
& ( exuI2 = $true )
& ( upairsetIL = $true )
& ( nonemptyE1 = $true )
& ( quantDeMorgan3 = $true )
& ( subsetemptysetimpeq = $true )
& ( kpairp = $true )
& ( secondinupair = $true )
& ( replAx = $true )
& ( emptyInPowerset = $true )
& ( emptysetsubset = $true )
& ( omegaIndAx = $true )
& ( setadjoinOr = $true )
& ( notinsingleton = $true )
& ( nonemptyI = $true )
& ( sepSubset = $true )
& ( setadjoinE = $true )
& ( setminusERneg = $true )
& ( binintersectI = $true )
& ( setext = $true )
& ( binintersectRsub = $true )
& ( setadjoin__Cong = $true )
& ( powersetI1 = $true )
& ( emptysetAx = $true )
& ( binintersectLsub = $true )
& ( noeltsimpempty = $true )
& ( notdexE = $true )
& ( emptyI = $true )
& ( kpairiskpair = $true )
& ( setukpairIL = $true )
& ( symdiffIneg2 = $true )
& ( setminusLsub = $true )
& ( binunionIL = $true )
& ( inPowerset = $true )
& ( upairsetIR = $true )
& ( dsetconstrEL = $true )
& ( notdallE = $true )
& ( symdiffE = $true )
& ( emptyE1 = $true )
& ( exuE3e = $true )
& ( binintersectSubset2 = $true )
& ( notequalI2 = $true )
& ( setminusILneg = $true )
& ( notequalI1 = $true )
& ( prop2setE = $true )
& ( singletoninpowunion = $true )
& ( binintersectER = $true )
& ( descr__Cong = $true )
& ( setukpairIR = $true )
& ( exuE1 = $true )
& ( singletoninpowerset = $true )
& ( subsetRefl = $true )
& ( upairsetE = $true )
& ( subsetTrans = $true )
& ( subPowSU = $true )
& ( descrp = $true )
& ( setminusI = $true )
& ( emptysetimpfalse = $true )
& ( setadjoinSub2 = $true )
& ( quantDeMorgan1 = $true )
& ( nonemptyI1 = $true )
& ( subset2powerset = $true )
& ( omega__Cong = $true )
& ( singletonsubset = $true )
& ( setextAx = $true )
& ( binunionRsub = $true )
& ( emptysetE = $true )
& ( exuE2 = $true )
& ( foundationAx = $true )
& ( powersetE = $true )
& ( powersetE1 = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( emptyset__Cong = $true )
& ( disjointsetsI1 = $true )
& ( binintersectEL = $true )
& ( setminusSubset1 = $true )
& ( setadjoinAx = $true )
& ( vacuousDall = $true )
& ( prop2set2propI = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( X1 != X2 )
& ( X0 != X2 )
& ( ( in @ X2 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
= $true ) )
& ( emptyinPowerset = $true )
& ( setminusELneg = $true )
& ( subsetI1 = $true )
& ( exuEu = $true )
& ( symdiffI2 = $true )
& ( symdiffIneg1 = $true )
& ( notsubsetI = $true )
& ( binunionLsub = $true )
& ( sepInPowerset = $true )
& ( setoftrueEq = $true )
& ( eqinunit = $true )
& ( binintersectSubset3 = $true )
& ( setunionAx = $true )
& ( dsetconstr__Cong = $true )
& ( setextsub = $true )
& ( dsetconstrER = $true )
& ( binunionE = $true )
& ( emptyinunitempty = $true )
& ( setbeta = $true )
& ( nonemptyImpWitness = $true )
& ( setadjoinIL = $true )
& ( setunion__Cong = $true )
& ( uniqinunit = $true )
& ( prop2setI = $true )
& ( powersetsubset = $true )
& ( binunionIR = $true ) ),
inference(rectify,[],[f553]) ).
thf(f915,plain,
( ( wellorderingAx = $true )
& ( subsetE2 = $true )
& ( subsetI2 = $true )
& ( exuI1 = $true )
& ( upairset2IR = $true )
& ( notinemptyset = $true )
& ( in__Cong = $true )
& ( powersetI = $true )
& ( eqimpsubset1 = $true )
& ( setunionE = $true )
& ( binintersectSubset5 = $true )
& ( dsetconstrI = $true )
& ( setadjoinIR = $true )
& ( exuI3 = $true )
& ( symdiffI1 = $true )
& ( powerset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( quantDeMorgan2 = $true )
& ( omega0Ax = $true )
& ( inCongP = $true )
& ( eqimpsubset2 = $true )
& ( singletonsswitch = $true )
& ( setadjoinSub = $true )
& ( binunionEcases = $true )
& ( setminusER = $true )
& ( quantDeMorgan4 = $true )
& ( setminusIRneg = $true )
& ( setminusEL = $true )
& ( subsetE = $true )
& ( bs114d = $true )
& ( setunionI = $true )
& ( setminusSubset2 = $true )
& ( omegaSAx = $true )
& ( powersetAx = $true )
& ( exuI2 = $true )
& ( upairsetIL = $true )
& ( nonemptyE1 = $true )
& ( quantDeMorgan3 = $true )
& ( subsetemptysetimpeq = $true )
& ( kpairp = $true )
& ( secondinupair = $true )
& ( replAx = $true )
& ( emptyInPowerset = $true )
& ( emptysetsubset = $true )
& ( omegaIndAx = $true )
& ( setadjoinOr = $true )
& ( notinsingleton = $true )
& ( nonemptyI = $true )
& ( sepSubset = $true )
& ( setadjoinE = $true )
& ( setminusERneg = $true )
& ( binintersectI = $true )
& ( setext = $true )
& ( binintersectRsub = $true )
& ( setadjoin__Cong = $true )
& ( powersetI1 = $true )
& ( emptysetAx = $true )
& ( binintersectLsub = $true )
& ( noeltsimpempty = $true )
& ( notdexE = $true )
& ( emptyI = $true )
& ( kpairiskpair = $true )
& ( setukpairIL = $true )
& ( symdiffIneg2 = $true )
& ( setminusLsub = $true )
& ( binunionIL = $true )
& ( inPowerset = $true )
& ( upairsetIR = $true )
& ( dsetconstrEL = $true )
& ( notdallE = $true )
& ( symdiffE = $true )
& ( emptyE1 = $true )
& ( exuE3e = $true )
& ( binintersectSubset2 = $true )
& ( notequalI2 = $true )
& ( setminusILneg = $true )
& ( notequalI1 = $true )
& ( prop2setE = $true )
& ( singletoninpowunion = $true )
& ( binintersectER = $true )
& ( descr__Cong = $true )
& ( setukpairIR = $true )
& ( exuE1 = $true )
& ( singletoninpowerset = $true )
& ( subsetRefl = $true )
& ( upairsetE = $true )
& ( subsetTrans = $true )
& ( subPowSU = $true )
& ( descrp = $true )
& ( setminusI = $true )
& ( emptysetimpfalse = $true )
& ( setadjoinSub2 = $true )
& ( quantDeMorgan1 = $true )
& ( nonemptyI1 = $true )
& ( subset2powerset = $true )
& ( omega__Cong = $true )
& ( singletonsubset = $true )
& ( setextAx = $true )
& ( binunionRsub = $true )
& ( emptysetE = $true )
& ( exuE2 = $true )
& ( foundationAx = $true )
& ( powersetE = $true )
& ( powersetE1 = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( emptyset__Cong = $true )
& ( disjointsetsI1 = $true )
& ( binintersectEL = $true )
& ( setminusSubset1 = $true )
& ( setadjoinAx = $true )
& ( vacuousDall = $true )
& ( prop2set2propI = $true )
& ( sK268 != sK267 )
& ( sK268 != sK266 )
& ( $true
= ( in @ sK268 @ ( setadjoin @ sK266 @ ( setadjoin @ sK267 @ emptyset ) ) ) )
& ( emptyinPowerset = $true )
& ( setminusELneg = $true )
& ( subsetI1 = $true )
& ( exuEu = $true )
& ( symdiffI2 = $true )
& ( symdiffIneg1 = $true )
& ( notsubsetI = $true )
& ( binunionLsub = $true )
& ( sepInPowerset = $true )
& ( setoftrueEq = $true )
& ( eqinunit = $true )
& ( binintersectSubset3 = $true )
& ( setunionAx = $true )
& ( dsetconstr__Cong = $true )
& ( setextsub = $true )
& ( dsetconstrER = $true )
& ( binunionE = $true )
& ( emptyinunitempty = $true )
& ( setbeta = $true )
& ( nonemptyImpWitness = $true )
& ( setadjoinIL = $true )
& ( setunion__Cong = $true )
& ( uniqinunit = $true )
& ( prop2setI = $true )
& ( powersetsubset = $true )
& ( binunionIR = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK266,sK267,sK268]),skolemize(X0,sK266),skolemize(X1,sK267),skolemize(X2,sK268)],[f914]) ).
thf(f937,plain,
( ( ! [X1: $i,X0: $i,X2: $i] :
( ( X0 = X1 )
| ( ( in @ X1 @ ( setadjoin @ X2 @ ( setadjoin @ X0 @ emptyset ) ) )
!= $true )
| ( X1 = X2 ) )
| ( upairsetE != $true ) )
& ( ( upairsetE = $true )
| ? [X1: $i,X0: $i,X2: $i] :
( ( X0 != X1 )
& ( ( in @ X1 @ ( setadjoin @ X2 @ ( setadjoin @ X0 @ emptyset ) ) )
= $true )
& ( X1 != X2 ) ) ) ),
inference(nnf_transformation,[],[f506]) ).
thf(f938,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( $true
!= ( in @ X0 @ ( setadjoin @ X2 @ ( setadjoin @ X1 @ emptyset ) ) ) )
| ( X0 = X2 ) )
| ( upairsetE != $true ) )
& ( ( upairsetE = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( X3 != X4 )
& ( $true
= ( in @ X3 @ ( setadjoin @ X5 @ ( setadjoin @ X4 @ emptyset ) ) ) )
& ( X3 != X5 ) ) ) ),
inference(rectify,[],[f937]) ).
thf(f939,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( $true
!= ( in @ X0 @ ( setadjoin @ X2 @ ( setadjoin @ X1 @ emptyset ) ) ) )
| ( X0 = X2 ) )
| ( upairsetE != $true ) )
& ( ( upairsetE = $true )
| ( ( sK287 != sK288 )
& ( $true
= ( in @ sK287 @ ( setadjoin @ sK289 @ ( setadjoin @ sK288 @ emptyset ) ) ) )
& ( sK289 != sK287 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK287,sK288,sK289]),skolemize(X3,sK287),skolemize(X4,sK288),skolemize(X5,sK289)],[f938]) ).
thf(f1434,plain,
( $true
= ( in @ sK268 @ ( setadjoin @ sK266 @ ( setadjoin @ sK267 @ emptyset ) ) ) ),
inference(cnf_transformation,[],[f915]) ).
thf(f1435,plain,
sK268 != sK266,
inference(cnf_transformation,[],[f915]) ).
thf(f1436,plain,
sK268 != sK267,
inference(cnf_transformation,[],[f915]) ).
thf(f1464,plain,
upairsetE = $true,
inference(cnf_transformation,[],[f915]) ).
thf(f1580,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( upairsetE != $true )
| ( X0 = X1 )
| ( $true
!= ( in @ X0 @ ( setadjoin @ X2 @ ( setadjoin @ X1 @ emptyset ) ) ) )
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f939]) ).
thf(f2876,definition,
( spl380_224
<=> ( upairsetE = $true ) ),
introduced(definition,[new_symbols(definition,[spl380_224])],[avatar_definition]) ).
thf(f3539,definition,
( spl380_367
<=> ( sK268 = sK266 ) ),
introduced(definition,[new_symbols(definition,[spl380_367])],[avatar_definition]) ).
thf(f3541,plain,
( ( sK268 != sK266 )
| spl380_367 ),
inference(avatar_component_clause,[],[f3539]) ).
thf(f3542,plain,
~ spl380_367,
inference(avatar_split_clause,[],[f1435,f3539]) ).
thf(f3922,definition,
( spl380_448
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( X0 = X2 )
| ( $true
!= ( in @ X0 @ ( setadjoin @ X2 @ ( setadjoin @ X1 @ emptyset ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl380_448])],[avatar_definition]) ).
thf(f3923,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ ( setadjoin @ X2 @ ( setadjoin @ X1 @ emptyset ) ) ) )
| ( X0 = X2 )
| ( X0 = X1 ) )
| ~ spl380_448 ),
inference(avatar_component_clause,[],[f3922]) ).
thf(f3924,plain,
( spl380_448
| ~ spl380_224 ),
inference(avatar_split_clause,[],[f1580,f2876,f3922]) ).
thf(f4002,definition,
( spl380_465
<=> ( $true
= ( in @ sK268 @ ( setadjoin @ sK266 @ ( setadjoin @ sK267 @ emptyset ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl380_465])],[avatar_definition]) ).
thf(f4004,plain,
( ( $true
= ( in @ sK268 @ ( setadjoin @ sK266 @ ( setadjoin @ sK267 @ emptyset ) ) ) )
| ~ spl380_465 ),
inference(avatar_component_clause,[],[f4002]) ).
thf(f4005,plain,
spl380_465,
inference(avatar_split_clause,[],[f1434,f4002]) ).
thf(f4740,definition,
( spl380_611
<=> ( sK268 = sK267 ) ),
introduced(definition,[new_symbols(definition,[spl380_611])],[avatar_definition]) ).
thf(f4742,plain,
( ( sK268 != sK267 )
| spl380_611 ),
inference(avatar_component_clause,[],[f4740]) ).
thf(f4743,plain,
~ spl380_611,
inference(avatar_split_clause,[],[f1436,f4740]) ).
thf(f4858,plain,
spl380_224,
inference(avatar_split_clause,[],[f1464,f2876]) ).
thf(f5633,plain,
( ( $true != $true )
| ( sK268 = sK267 )
| ( sK268 = sK266 )
| ~ spl380_448
| ~ spl380_465 ),
inference(superposition,[],[f3923,f4004]) ).
thf(f5652,plain,
( ( sK268 = sK266 )
| ( sK268 = sK267 )
| ~ spl380_448
| ~ spl380_465 ),
inference(trivial_inequality_removal,[],[f5633]) ).
thf(f5657,plain,
( ( sK268 = sK267 )
| spl380_367
| ~ spl380_448
| ~ spl380_465 ),
inference(forward_subsumption_resolution,[],[f5652,f3541]) ).
thf(f5658,plain,
( $false
| spl380_367
| ~ spl380_448
| ~ spl380_465
| spl380_611 ),
inference(forward_subsumption_resolution,[],[f5657,f4742]) ).
thf(f5659,plain,
( spl380_367
| ~ spl380_448
| ~ spl380_465
| spl380_611 ),
inference(avatar_contradiction_clause,[],[f5658]) ).
cnf(s298,plain,
~ spl380_367,
inference(sat_conversion,[],[f3542]) ).
cnf(s391,plain,
( ~ spl380_224
| spl380_448 ),
inference(sat_conversion,[],[f3924]) ).
cnf(s408,plain,
spl380_465,
inference(sat_conversion,[],[f4005]) ).
cnf(s618,plain,
~ spl380_611,
inference(sat_conversion,[],[f4743]) ).
cnf(s653,plain,
spl380_224,
inference(sat_conversion,[],[f4858]) ).
cnf(s677,plain,
( spl380_367
| ~ spl380_448
| ~ spl380_465
| spl380_611 ),
inference(sat_conversion,[],[f5659]) ).
cnf(s703,plain,
spl380_448,
inference(rat,[],[s391,s653]) ).
cnf(s704,plain,
spl380_367,
inference(rat,[],[s677,s618,s408,s703]) ).
cnf(s726,plain,
$false,
inference(rat,[],[s298,s704]) ).
thf(f5660,plain,
$false,
inference(avatar_sat_refutation,[],[s726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU624^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 14:02:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.22/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.41 % (3570090)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.52/0.41 % (3570095)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2374621565:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.52/0.41 % (3570101)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.52/0.41 % (3570101)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
% 0.52/0.41 % (3570100)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2625453629:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.52/0.41 % (3570096)lrs+10_16_si=on:nwc=1.5:random_seed=425496722:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.52/0.41 % (3570097)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2660900243:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.52/0.41 % (3570098)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=3651242769: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)
% 0.52/0.41 % (3570101)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=2641967169:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.52/0.41 % (3570099)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1394288553:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.52/0.41 % (3570097)Instruction limit reached!
% 0.52/0.41 % (3570097)------------------------------
% 0.52/0.41 % (3570097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3570097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3570097)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3570097)Termination reason: Instruction limit
% 0.52/0.41 % (3570097)Termination phase: shuffling
% 0.52/0.41 % (3570097)Time elapsed: 0.002 s
% 0.52/0.41 % (3570097)Peak memory usage: 10 MB
% 0.52/0.41 % (3570097)Instructions burned: 4 (million)
% 0.52/0.41 % (3570096)Instruction limit reached!
% 0.52/0.41 % (3570096)------------------------------
% 0.52/0.41 % (3570096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3570096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3570096)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3570096)Termination reason: Instruction limit
% 0.52/0.41 % (3570096)Termination phase: Property scanning
% 0.52/0.41 % (3570096)Time elapsed: 0.008 s
% 0.52/0.41 % (3570096)Peak memory usage: 10 MB
% 0.52/0.41 % (3570096)Instructions burned: 18 (million)
% 0.52/0.41 % (3570095)Instruction limit reached!
% 0.52/0.41 % (3570095)------------------------------
% 0.52/0.41 % (3570095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3570095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3570095)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3570095)Termination reason: Instruction limit
% 0.52/0.41 % (3570095)Termination phase: Saturation
% 0.52/0.41 % (3570095)Time elapsed: 0.022 s
% 0.52/0.41 % (3570095)Peak memory usage: 13 MB
% 0.52/0.41 % (3570095)Instructions burned: 87 (million)
% 0.52/0.41 % (3570111)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.41 % (3570099)Instruction limit reached!
% 0.52/0.41 % (3570099)------------------------------
% 0.52/0.41 % (3570099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3570099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3570099)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3570099)Termination reason: Instruction limit
% 0.52/0.41 % (3570099)Termination phase: Preprocessing 3
% 0.52/0.41 % (3570099)Time elapsed: 0.022 s
% 0.52/0.41 % (3570099)Peak memory usage: 11 MB
% 0.52/0.41 % (3570099)Instructions burned: 24 (million)
% 0.52/0.41 % (3570109)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=186135657:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.45 % (3570111)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=618576406:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.52/0.45 % (3570109)Instruction limit reached!
% 0.52/0.45 % (3570109)------------------------------
% 0.52/0.45 % (3570109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570109)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570109)Termination reason: Instruction limit
% 0.52/0.45 % (3570109)Termination phase: shuffling
% 0.52/0.45 % (3570109)Time elapsed: 0.002 s
% 0.52/0.45 % (3570109)Peak memory usage: 10 MB
% 0.52/0.45 % (3570109)Instructions burned: 4 (million)
% 0.52/0.45 % (3570111)Instruction limit reached!
% 0.52/0.45 % (3570111)------------------------------
% 0.52/0.45 % (3570111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570111)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570111)Termination reason: Instruction limit
% 0.52/0.45 % (3570111)Termination phase: Property scanning
% 0.52/0.45 % (3570111)Time elapsed: 0.004 s
% 0.52/0.45 % (3570111)Peak memory usage: 10 MB
% 0.52/0.45 % (3570111)Instructions burned: 19 (million)
% 0.52/0.45 % (3570100)Instruction limit reached!
% 0.52/0.45 % (3570100)------------------------------
% 0.52/0.45 % (3570100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570100)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570100)Termination reason: Instruction limit
% 0.52/0.45 % (3570100)Termination phase: Property scanning
% 0.52/0.45 % (3570100)Time elapsed: 0.035 s
% 0.52/0.45 % (3570100)Peak memory usage: 12 MB
% 0.52/0.45 % (3570100)Instructions burned: 76 (million)
% 0.52/0.45 % (3570110)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1657020504:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.52/0.45 % (3570116)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=744969754:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.52/0.45 % (3570115)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
% 0.52/0.45 % (3570115)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.45 % (3570110)Instruction limit reached!
% 0.52/0.45 % (3570110)------------------------------
% 0.52/0.45 % (3570110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570110)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570110)Termination reason: Instruction limit
% 0.52/0.45 % (3570110)Termination phase: shuffling
% 0.52/0.45 % (3570110)Time elapsed: 0.003 s
% 0.52/0.45 % (3570110)Peak memory usage: 10 MB
% 0.52/0.45 % (3570110)Instructions burned: 5 (million)
% 0.52/0.45 % (3570114)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3998267149:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.52/0.45 % (3570115)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1088324938:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.52/0.45 % (3570114)Instruction limit reached!
% 0.52/0.45 % (3570114)------------------------------
% 0.52/0.45 % (3570114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570114)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570114)Termination reason: Instruction limit
% 0.52/0.45 % (3570114)Termination phase: shuffling
% 0.52/0.45 % (3570114)Time elapsed: 0.006 s
% 0.52/0.45 % (3570114)Peak memory usage: 10 MB
% 0.52/0.45 % (3570114)Instructions burned: 12 (million)
% 0.52/0.45 % (3570117)lrs+10_1_si=on:cs=on:random_seed=4272883601:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.52/0.45 % (3570120)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.52/0.45 % (3570115)Instruction limit reached!
% 0.52/0.45 % (3570115)------------------------------
% 0.52/0.45 % (3570115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570115)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570115)Termination reason: Instruction limit
% 0.52/0.45 % (3570115)Termination phase: Property scanning
% 0.52/0.45 % (3570115)Time elapsed: 0.012 s
% 0.52/0.45 % (3570115)Peak memory usage: 10 MB
% 0.52/0.45 % (3570115)Instructions burned: 28 (million)
% 0.52/0.45 % (3570117)Instruction limit reached!
% 0.52/0.45 % (3570117)------------------------------
% 0.52/0.45 % (3570117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570117)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570117)Termination reason: Instruction limit
% 0.52/0.45 % (3570117)Termination phase: shuffling
% 0.52/0.45 % (3570117)Time elapsed: 0.004 s
% 0.52/0.45 % (3570117)Peak memory usage: 10 MB
% 0.52/0.45 % (3570117)Instructions burned: 9 (million)
% 0.52/0.45 % (3570116)Instruction limit reached!
% 0.52/0.45 % (3570116)------------------------------
% 0.52/0.45 % (3570116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570116)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570116)Termination reason: Instruction limit
% 0.52/0.45 % (3570116)Termination phase: Saturation
% 0.52/0.45 % (3570116)Time elapsed: 0.020 s
% 0.52/0.45 % (3570116)Peak memory usage: 13 MB
% 0.52/0.45 % (3570116)Instructions burned: 87 (million)
% 0.52/0.45 % (3570120)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=3459452297:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.45 % (3570120)Instruction limit reached!
% 0.52/0.45 % (3570120)------------------------------
% 0.52/0.45 % (3570120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570120)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570120)Termination reason: Instruction limit
% 0.52/0.45 % (3570120)Termination phase: shuffling
% 0.52/0.45 % (3570120)Time elapsed: 0.003 s
% 0.52/0.45 % (3570120)Peak memory usage: 10 MB
% 0.52/0.45 % (3570120)Instructions burned: 7 (million)
% 0.52/0.45 % (3570127)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3288581162:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.52/0.45 % (3570123)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2174865243:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.52/0.45 % (3570127)Instruction limit reached!
% 0.52/0.45 % (3570127)------------------------------
% 0.52/0.45 % (3570127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570125)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=330596586:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.52/0.45 % (3570127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570127)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570127)Termination reason: Instruction limit
% 0.52/0.45 % (3570127)Termination phase: shuffling
% 0.52/0.45 % (3570127)Time elapsed: 0.004 s
% 0.52/0.45 % (3570127)Peak memory usage: 10 MB
% 0.52/0.45 % (3570127)Instructions burned: 14 (million)
% 0.52/0.45 % (3570126)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=588813581:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.52/0.45 % (3570101)Instruction limit reached!
% 0.52/0.45 % (3570101)------------------------------
% 0.52/0.45 % (3570101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570101)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570101)Termination reason: Instruction limit
% 0.52/0.45 % (3570101)Termination phase: Saturation
% 0.52/0.45 % (3570101)Time elapsed: 0.080 s
% 0.52/0.45 % (3570101)Peak memory usage: 14 MB
% 0.52/0.45 % (3570101)Instructions burned: 157 (million)
% 0.52/0.45 % (3570129)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3831268979:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.52/0.45 % (3570133)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2878637113:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.52/0.45 % (3570126)Instruction limit reached!
% 0.52/0.45 % (3570126)------------------------------
% 0.52/0.45 % (3570126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570126)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570126)Termination reason: Instruction limit
% 0.52/0.45 % (3570126)Termination phase: Preprocessing 3
% 0.52/0.45 % (3570126)Time elapsed: 0.012 s
% 0.52/0.45 % (3570126)Peak memory usage: 11 MB
% 0.52/0.45 % (3570126)Instructions burned: 26 (million)
% 0.52/0.45 % (3570133)Instruction limit reached!
% 0.52/0.45 % (3570133)------------------------------
% 0.52/0.45 % (3570133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570133)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570133)Termination reason: Instruction limit
% 0.52/0.45 % (3570133)Termination phase: Property scanning
% 0.52/0.45 % (3570133)Time elapsed: 0.004 s
% 0.52/0.45 % (3570133)Peak memory usage: 10 MB
% 0.52/0.45 % (3570133)Instructions burned: 17 (million)
% 0.52/0.45 % (3570123)Instruction limit reached!
% 0.52/0.45 % (3570123)------------------------------
% 0.52/0.45 % (3570123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570123)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570123)Termination reason: Instruction limit
% 0.52/0.45 % (3570123)Termination phase: Preprocessing 3
% 0.52/0.45 % (3570123)Time elapsed: 0.024 s
% 0.52/0.45 % (3570123)Peak memory usage: 12 MB
% 0.52/0.45 % (3570123)Instructions burned: 40 (million)
% 0.52/0.45 % (3570135)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=82241597: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)
% 0.52/0.45 % (3570135)Instruction limit reached!
% 0.52/0.45 % (3570135)------------------------------
% 0.52/0.45 % (3570135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570135)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570135)Termination reason: Instruction limit
% 0.52/0.45 % (3570135)Termination phase: shuffling
% 0.52/0.45 % (3570135)Time elapsed: 0.001 s
% 0.52/0.45 % (3570135)Peak memory usage: 10 MB
% 0.52/0.45 % (3570135)Instructions burned: 2 (million)
% 0.52/0.45 % (3570139)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2786540101:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.52/0.45 % (3570098) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3570090-3570098"...
% 0.52/0.45 % (3570138)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3751852294:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.52/0.45 % (3570139)Instruction limit reached!
% 0.52/0.45 % (3570139)------------------------------
% 0.52/0.45 % (3570139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570139)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570139)Termination reason: Instruction limit
% 0.52/0.45 % (3570139)Termination phase: Property scanning
% 0.52/0.45 % (3570139)Time elapsed: 0.006 s
% 0.52/0.45 % (3570139)Peak memory usage: 10 MB
% 0.52/0.45 % (3570139)Instructions burned: 28 (million)
% 0.52/0.45 % (3570098)...printing done.
% 0.52/0.45 % (3570098)Refutation found. Thanks to Tanya!
% 0.52/0.45 % SZS status Theorem for theBenchmark
% 0.52/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.45 % (3570098)------------------------------
% 0.52/0.45 % (3570098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.45 % (3570098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.45 % (3570098)CaDiCaL version: 2.1.3
% 0.52/0.45 % (3570098)Termination reason: Refutation
% 0.52/0.45 % (3570098)Time elapsed: 0.111 s
% 0.52/0.45 % (3570098)Peak memory usage: 17 MB
% 0.52/0.45 % (3570098)Instructions burned: 209 (million)
% 0.52/0.45 % (3570090)Success in time 0.165 s
% 0.52/0.45 % Vampire exiting
%------------------------------------------------------------------------------