%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU616^1 : 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 : n017.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 08:30:20 AM UTC 2026
% Result : Theorem 0.61s 0.40s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 12 unt; 0 typ; 3 def)
% Number of atoms : 2136 ( 558 equ; 0 cnn)
% Maximal formula atoms : 134 ( 61 avg)
% Number of connectives : 1105 ( 25 ~; 17 |; 399 &; 132 @)
% ( 4 <=>; 528 =>; 0 <=; 0 <~>)
% Maximal formula depth : 140 ( 30 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 : 276 ( 273 usr; 151 con; 0-4 aty)
% Number of variables : 34 ( 0 sgn 26 !; 8 ?; 34 :)
% 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_156,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_157,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_158,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_159,type,
vNOT: $o > $o ).
thf(func_def_160,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_161,type,
vAND: $o > $o > $o ).
thf(func_def_162,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_163,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_164,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_165,type,
vIMP: $o > $o > $o ).
thf(func_def_166,type,
sP0: $i > $i > $o ).
thf(func_def_167,type,
sP1: $i > $o ).
thf(func_def_168,type,
sP2: $o ).
thf(func_def_177,type,
sK11: $i > $o ).
thf(func_def_191,type,
sK25: $i > $o ).
thf(func_def_193,type,
sK27: $i > $i > $i ).
thf(func_def_196,type,
sK30: $o ).
thf(func_def_201,type,
sK35: $i > $o ).
thf(func_def_203,type,
sK37: ( $i > $o ) > $i > $i ).
thf(func_def_209,type,
sK43: $o ).
thf(func_def_210,type,
sK44: $i > $i > $i ).
thf(func_def_228,type,
sK62: $i > $o ).
thf(func_def_229,type,
sK63: ( $i > $o ) > $i ).
thf(func_def_238,type,
sK72: $i > $i > $i ).
thf(func_def_242,type,
sK76: $o ).
thf(func_def_244,type,
sK78: $i > $i ).
thf(func_def_245,type,
sK79: $i > $i ).
thf(func_def_246,type,
sK80: $i > $i ).
thf(func_def_247,type,
sK81: $i > $i ).
thf(func_def_248,type,
sK82: $i > $i ).
thf(func_def_249,type,
sK83: $i > $i > $i > $i ).
thf(func_def_250,type,
sK84: $i > $i ).
thf(func_def_251,type,
sK85: $i > $i ).
thf(func_def_252,type,
sK86: $i > $i ).
thf(func_def_253,type,
sK87: $i > $i ).
thf(func_def_254,type,
sK88: $i > $i > $i ).
thf(func_def_255,type,
sK89: $i > $i > $i ).
thf(func_def_256,type,
sK90: $i > $i > $i > $i ).
thf(func_def_257,type,
sK91: $i > $i > $i > $i ).
thf(func_def_258,type,
sK92: $i > $i > $i > $i ).
thf(func_def_259,type,
sK93: $i > $i > $i ).
thf(func_def_260,type,
sK94: $i > $i > $i ).
thf(func_def_261,type,
sK95: $i > $i > $i ).
thf(func_def_266,type,
sK100: $i > $o ).
thf(func_def_281,type,
sK115: $o ).
thf(func_def_282,type,
sK116: $o > $i > $i > $i ).
thf(func_def_286,type,
sK120: $i > $o ).
thf(func_def_289,type,
sK123: $i > $o ).
thf(func_def_294,type,
sK128: $i > $o ).
thf(func_def_296,type,
sK130: ( $i > $o ) > $i > $i ).
thf(func_def_303,type,
sK137: $i > $i > $i ).
thf(func_def_304,type,
sK138: $o ).
thf(func_def_305,type,
sK139: $i > $o ).
thf(func_def_311,type,
sK145: $i > $o ).
thf(func_def_318,type,
sK152: $i > $o ).
thf(func_def_328,type,
sK162: ( $i > $o ) > $i > $i ).
thf(func_def_330,type,
sK164: $i > $o ).
thf(func_def_341,type,
sK175: $i > ( $i > $o ) > $i ).
thf(func_def_342,type,
sK176: $i > $o ).
thf(func_def_344,type,
sK178: $i > $i > $i ).
thf(func_def_353,type,
sK187: $i > $i ).
thf(func_def_354,type,
sK188: $i > $i ).
thf(func_def_360,type,
sK194: $i > $o ).
thf(func_def_361,type,
sK195: $i > $o ).
thf(func_def_362,type,
sK196: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_363,type,
sK197: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_364,type,
sK198: $i > $o ).
thf(func_def_369,type,
sK203: $i > $i > $i ).
thf(func_def_370,type,
sK204: $i > $i > $i ).
thf(func_def_376,type,
sK210: $i > $i ).
thf(func_def_377,type,
sK211: $i > $o ).
thf(func_def_380,type,
sK214: $i > $o ).
thf(func_def_381,type,
sK215: $i > $i ).
thf(func_def_382,type,
sK216: ( $i > $o ) > $i ).
thf(func_def_384,type,
sK218: $i > $o ).
thf(func_def_396,type,
sK230: $i > $i ).
thf(func_def_397,type,
sK231: $i > $o ).
thf(func_def_400,type,
sK234: $i > ( $i > $o ) > $i ).
thf(func_def_403,type,
sK237: $i > $i > $i ).
thf(func_def_409,type,
sK243: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_410,type,
sK244: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_411,type,
sK245: $i > $o ).
thf(func_def_412,type,
sK246: $i > $o ).
thf(func_def_423,type,
sK257: $i > $i ).
thf(func_def_429,type,
sK263: $i > $i > $o ).
thf(func_def_431,type,
sK265: $i > $i ).
thf(func_def_432,type,
sK266: $i > $i ).
thf(func_def_433,type,
sK267: $i > ( $i > $i > $o ) > $i ).
thf(func_def_434,type,
sK268: $i > ( $i > $i > $o ) > $i ).
thf(func_def_435,type,
sK269: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_442,type,
sK276: $o ).
thf(func_def_449,type,
sK283: ( $i > $o ) > $i ).
thf(func_def_450,type,
sK284: $i > $o ).
thf(func_def_451,type,
sK285: $i > $i ).
thf(func_def_452,type,
sK286: $i > $o ).
thf(func_def_457,type,
sK291: ( $i > $o ) > $i ).
thf(func_def_458,type,
sK292: ( $i > $o ) > $i ).
thf(func_def_459,type,
sK293: $i > $o ).
thf(func_def_464,type,
sK298: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_465,type,
sK299: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_468,type,
sK302: $i > $o ).
thf(func_def_469,type,
sK303: $i > $o ).
thf(func_def_470,type,
sK304: $i > $i ).
thf(func_def_479,type,
sK313: $o ).
thf(func_def_482,type,
sK316: $i > $o ).
thf(func_def_484,type,
sK318: ( $i > $o ) > $i > $i ).
thf(func_def_488,type,
sK322: $i > $i ).
thf(func_def_493,type,
sK327: $i > $i > $i ).
thf(func_def_496,type,
sK330: $i > ( $i > $o ) > $i ).
thf(func_def_497,type,
sK331: $i > $o ).
thf(func_def_504,type,
sK338: $o ).
thf(func_def_519,type,
sK353: $i > $o ).
thf(func_def_521,type,
sK355: ( $i > $o ) > $i > $i ).
thf(f52,axiom,
! [X1: $i,X0: $i] :
( ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
= upairsetIR ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairsetIR) ).
thf(f136,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
=> ! [X1: $i,X0: $i] : ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',secondinupair) ).
thf(f137,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
=> ! [X1: $i,X0: $i] : ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f136]) ).
thf(f237,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
= upairsetIR ),
inference(rectify,[],[f52]) ).
thf(f238,plain,
( ! [X0: $i,X1: $i] :
( $true
= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) )
<=> ( upairsetIR = $true ) ),
inference(fool_elimination,[],[f237]) ).
thf(f241,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
=> ! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f137]) ).
thf(f242,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 )
=> ! [X1: $i,X0: $i] :
( $true
= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f241]) ).
thf(f468,plain,
( ? [X0: $i,X1: $i] :
( $true
!= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) )
& ( 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,[],[f242]) ).
thf(f469,plain,
( ( setadjoinAx = $true )
& ( omegaIndAx = $true )
& ( quantDeMorgan3 = $true )
& ( notinemptyset = $true )
& ( powersetI1 = $true )
& ( dsetconstrI = $true )
& ( subsetI2 = $true )
& ( emptyset__Cong = $true )
& ( prop2set2propI = $true )
& ( setminusEL = $true )
& ( setadjoinOr = $true )
& ( upairset2IR = $true )
& ( setadjoinIL = $true )
& ( setminusLsub = $true )
& ( setminusERneg = $true )
& ( binintersectEL = $true )
& ( exuE3e = $true )
& ( sepInPowerset = $true )
& ( quantDeMorgan1 = $true )
& ( binintersectRsub = $true )
& ? [X0: $i,X1: $i] :
( $true
!= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) )
& ( setminusSubset2 = $true )
& ( powersetI = $true )
& ( emptyinPowerset = $true )
& ( omega__Cong = $true )
& ( symdiffI1 = $true )
& ( binunionE = $true )
& ( emptysetsubset = $true )
& ( emptysetE = $true )
& ( notdallE = $true )
& ( exuE2 = $true )
& ( descr__Cong = $true )
& ( upairsetIL = $true )
& ( setadjoin__Cong = $true )
& ( exuI2 = $true )
& ( binintersectSubset4 = $true )
& ( exuI1 = $true )
& ( uniqinunit = $true )
& ( quantDeMorgan4 = $true )
& ( powerset__Cong = $true )
& ( binintersectSubset5 = $true )
& ( inPowerset = $true )
& ( prop2setI = $true )
& ( binintersectI = $true )
& ( binintersectSubset3 = $true )
& ( setminusER = $true )
& ( setadjoinE = $true )
& ( powersetsubset = $true )
& ( exu__Cong = $true )
& ( setadjoinSub2 = $true )
& ( replAx = $true )
& ( setoftrueEq = $true )
& ( symdiffIneg1 = $true )
& ( subsetRefl = $true )
& ( descrp = $true )
& ( inCongP = $true )
& ( setminusI = $true )
& ( subset2powerset = $true )
& ( setminusILneg = $true )
& ( binunionEcases = $true )
& ( disjointsetsI1 = $true )
& ( setextsub = $true )
& ( subsetE2 = $true )
& ( emptyinunitempty = $true )
& ( setminusELneg = $true )
& ( symdiffIneg2 = $true )
& ( setextAx = $true )
& ( powersetE1 = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset2 = $true )
& ( notequalI2 = $true )
& ( singletonsswitch = $true )
& ( emptyI = $true )
& ( subsetemptysetimpeq = $true )
& ( binintersectER = $true )
& ( emptyInPowerset = $true )
& ( subsetTrans = $true )
& ( omega0Ax = $true )
& ( setext = $true )
& ( upairsetIR = $true )
& ( emptysetAx = $true )
& ( emptyE1 = $true )
& ( emptysetimpfalse = $true )
& ( binintersectSubset1 = $true )
& ( setbeta = $true )
& ( binunionLsub = $true )
& ( notdexE = $true )
& ( symdiffI2 = $true )
& ( vacuousDall = $true )
& ( upairsetE = $true )
& ( exuE3u = $true )
& ( binunionIR = $true )
& ( powersetAx = $true )
& ( omegaSAx = $true )
& ( symdiffE = $true )
& ( quantDeMorgan2 = $true )
& ( in__Cong = $true )
& ( notequalI1 = $true )
& ( noeltsimpempty = $true )
& ( nonemptyI1 = $true )
& ( dsetconstrEL = $true )
& ( dsetconstr__Cong = $true )
& ( binunionIL = $true )
& ( notinsingleton = $true )
& ( wellorderingAx = $true )
& ( setunion__Cong = $true )
& ( setadjoinSub = $true )
& ( eqinunit = $true )
& ( bs114d = $true )
& ( powersetE = $true )
& ( setunionAx = $true )
& ( setadjoinIR = $true )
& ( subsetI1 = $true )
& ( foundationAx = $true )
& ( dsetconstrER = $true )
& ( setunionE = $true )
& ( exuEu = $true )
& ( setminusIRneg = $true )
& ( nonemptyI = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( setunionI = $true )
& ( binintersectLsub = $true )
& ( binunionRsub = $true )
& ( nonemptyImpWitness = $true )
& ( notsubsetI = $true )
& ( subPowSU = $true )
& ( exuI3 = $true )
& ( sepSubset = $true )
& ( subsetE = $true )
& ( eqimpsubset1 = $true )
& ( nonemptyE1 = $true )
& ( eqimpsubset2 = $true ) ),
inference(flattening,[],[f468]) ).
thf(f642,plain,
( ( ! [X0: $i,X1: $i] :
( $true
= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) )
| ( upairsetIR != $true ) )
& ( ( upairsetIR = $true )
| ? [X0: $i,X1: $i] :
( $true
!= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) ) ) ),
inference(nnf_transformation,[],[f238]) ).
thf(f643,plain,
( ( ! [X0: $i,X1: $i] :
( $true
= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) )
| ( upairsetIR != $true ) )
& ( ( upairsetIR = $true )
| ? [X2: $i,X3: $i] :
( ( in @ X2 @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) )
!= $true ) ) ),
inference(rectify,[],[f642]) ).
thf(f644,plain,
( ( ! [X0: $i,X1: $i] :
( $true
= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) )
| ( upairsetIR != $true ) )
& ( ( upairsetIR = $true )
| ( $true
!= ( in @ sK57 @ ( setadjoin @ sK58 @ ( setadjoin @ sK57 @ emptyset ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57,sK58]),skolemize(X2,sK57),skolemize(X3,sK58)],[f643]) ).
thf(f700,plain,
( ( setadjoinAx = $true )
& ( omegaIndAx = $true )
& ( quantDeMorgan3 = $true )
& ( notinemptyset = $true )
& ( powersetI1 = $true )
& ( dsetconstrI = $true )
& ( subsetI2 = $true )
& ( emptyset__Cong = $true )
& ( prop2set2propI = $true )
& ( setminusEL = $true )
& ( setadjoinOr = $true )
& ( upairset2IR = $true )
& ( setadjoinIL = $true )
& ( setminusLsub = $true )
& ( setminusERneg = $true )
& ( binintersectEL = $true )
& ( exuE3e = $true )
& ( sepInPowerset = $true )
& ( quantDeMorgan1 = $true )
& ( binintersectRsub = $true )
& ( $true
!= ( in @ sK111 @ ( setadjoin @ sK112 @ ( setadjoin @ sK111 @ emptyset ) ) ) )
& ( setminusSubset2 = $true )
& ( powersetI = $true )
& ( emptyinPowerset = $true )
& ( omega__Cong = $true )
& ( symdiffI1 = $true )
& ( binunionE = $true )
& ( emptysetsubset = $true )
& ( emptysetE = $true )
& ( notdallE = $true )
& ( exuE2 = $true )
& ( descr__Cong = $true )
& ( upairsetIL = $true )
& ( setadjoin__Cong = $true )
& ( exuI2 = $true )
& ( binintersectSubset4 = $true )
& ( exuI1 = $true )
& ( uniqinunit = $true )
& ( quantDeMorgan4 = $true )
& ( powerset__Cong = $true )
& ( binintersectSubset5 = $true )
& ( inPowerset = $true )
& ( prop2setI = $true )
& ( binintersectI = $true )
& ( binintersectSubset3 = $true )
& ( setminusER = $true )
& ( setadjoinE = $true )
& ( powersetsubset = $true )
& ( exu__Cong = $true )
& ( setadjoinSub2 = $true )
& ( replAx = $true )
& ( setoftrueEq = $true )
& ( symdiffIneg1 = $true )
& ( subsetRefl = $true )
& ( descrp = $true )
& ( inCongP = $true )
& ( setminusI = $true )
& ( subset2powerset = $true )
& ( setminusILneg = $true )
& ( binunionEcases = $true )
& ( disjointsetsI1 = $true )
& ( setextsub = $true )
& ( subsetE2 = $true )
& ( emptyinunitempty = $true )
& ( setminusELneg = $true )
& ( symdiffIneg2 = $true )
& ( setextAx = $true )
& ( powersetE1 = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset2 = $true )
& ( notequalI2 = $true )
& ( singletonsswitch = $true )
& ( emptyI = $true )
& ( subsetemptysetimpeq = $true )
& ( binintersectER = $true )
& ( emptyInPowerset = $true )
& ( subsetTrans = $true )
& ( omega0Ax = $true )
& ( setext = $true )
& ( upairsetIR = $true )
& ( emptysetAx = $true )
& ( emptyE1 = $true )
& ( emptysetimpfalse = $true )
& ( binintersectSubset1 = $true )
& ( setbeta = $true )
& ( binunionLsub = $true )
& ( notdexE = $true )
& ( symdiffI2 = $true )
& ( vacuousDall = $true )
& ( upairsetE = $true )
& ( exuE3u = $true )
& ( binunionIR = $true )
& ( powersetAx = $true )
& ( omegaSAx = $true )
& ( symdiffE = $true )
& ( quantDeMorgan2 = $true )
& ( in__Cong = $true )
& ( notequalI1 = $true )
& ( noeltsimpempty = $true )
& ( nonemptyI1 = $true )
& ( dsetconstrEL = $true )
& ( dsetconstr__Cong = $true )
& ( binunionIL = $true )
& ( notinsingleton = $true )
& ( wellorderingAx = $true )
& ( setunion__Cong = $true )
& ( setadjoinSub = $true )
& ( eqinunit = $true )
& ( bs114d = $true )
& ( powersetE = $true )
& ( setunionAx = $true )
& ( setadjoinIR = $true )
& ( subsetI1 = $true )
& ( foundationAx = $true )
& ( dsetconstrER = $true )
& ( setunionE = $true )
& ( exuEu = $true )
& ( setminusIRneg = $true )
& ( nonemptyI = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( setunionI = $true )
& ( binintersectLsub = $true )
& ( binunionRsub = $true )
& ( nonemptyImpWitness = $true )
& ( notsubsetI = $true )
& ( subPowSU = $true )
& ( exuI3 = $true )
& ( sepSubset = $true )
& ( subsetE = $true )
& ( eqimpsubset1 = $true )
& ( nonemptyE1 = $true )
& ( eqimpsubset2 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK111,sK112]),skolemize(X0,sK111),skolemize(X1,sK112)],[f469]) ).
thf(f1059,plain,
! [X0: $i,X1: $i] :
( ( upairsetIR != $true )
| ( $true
= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) ) ),
inference(cnf_transformation,[],[f644]) ).
thf(f1210,plain,
upairsetIR = $true,
inference(cnf_transformation,[],[f700]) ).
thf(f1269,plain,
( $true
!= ( in @ sK111 @ ( setadjoin @ sK112 @ ( setadjoin @ sK111 @ emptyset ) ) ) ),
inference(cnf_transformation,[],[f700]) ).
thf(f2336,definition,
( spl362_126
<=> ( upairsetIR = $true ) ),
introduced(definition,[new_symbols(definition,[spl362_126])],[avatar_definition]) ).
thf(f3187,definition,
( spl362_311
<=> ( $true
= ( in @ sK111 @ ( setadjoin @ sK112 @ ( setadjoin @ sK111 @ emptyset ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl362_311])],[avatar_definition]) ).
thf(f3189,plain,
( ( $true
!= ( in @ sK111 @ ( setadjoin @ sK112 @ ( setadjoin @ sK111 @ emptyset ) ) ) )
| spl362_311 ),
inference(avatar_component_clause,[],[f3187]) ).
thf(f3190,plain,
~ spl362_311,
inference(avatar_split_clause,[],[f1269,f3187]) ).
thf(f3644,definition,
( spl362_409
<=> ! [X0: $i,X1: $i] :
( $true
= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl362_409])],[avatar_definition]) ).
thf(f3645,plain,
( ! [X0: $i,X1: $i] :
( $true
= ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) )
| ~ spl362_409 ),
inference(avatar_component_clause,[],[f3644]) ).
thf(f3646,plain,
( ~ spl362_126
| spl362_409 ),
inference(avatar_split_clause,[],[f1059,f3644,f2336]) ).
thf(f4432,plain,
spl362_126,
inference(avatar_split_clause,[],[f1210,f2336]) ).
thf(f5047,plain,
( ( $true != $true )
| spl362_311
| ~ spl362_409 ),
inference(superposition,[],[f3189,f3645]) ).
thf(f5048,plain,
( $false
| spl362_311
| ~ spl362_409 ),
inference(trivial_inequality_removal,[],[f5047]) ).
thf(f5049,plain,
( spl362_311
| ~ spl362_409 ),
inference(avatar_contradiction_clause,[],[f5048]) ).
cnf(s249,plain,
~ spl362_311,
inference(sat_conversion,[],[f3190]) ).
cnf(s345,plain,
( ~ spl362_126
| spl362_409 ),
inference(sat_conversion,[],[f3646]) ).
cnf(s563,plain,
spl362_126,
inference(sat_conversion,[],[f4432]) ).
cnf(s645,plain,
( spl362_311
| ~ spl362_409 ),
inference(sat_conversion,[],[f5049]) ).
cnf(s682,plain,
spl362_409,
inference(rat,[],[s345,s563]) ).
cnf(s683,plain,
spl362_311,
inference(rat,[],[s645,s682]) ).
cnf(s708,plain,
$false,
inference(rat,[],[s249,s683]) ).
thf(f5052,plain,
$false,
inference(avatar_sat_refutation,[],[s708]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU616^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % 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 13:53:52 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.26 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
% 0.61/0.39 % (376720)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.61/0.39 % (376725)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=405641153:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.61/0.39 % (376731)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.61/0.39 % (376731)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
% 0.61/0.39 % (376726)lrs+10_16_si=on:nwc=1.5:random_seed=3121535678:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.61/0.39 % (376727)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4024016719:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.61/0.39 % (376729)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2981268541:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.61/0.39 % (376728)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=691229852: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)
% 0.61/0.39 % (376730)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=943377502:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.61/0.39 % (376731)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=3829106619:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.61/0.39 % (376727)Instruction limit reached!
% 0.61/0.39 % (376727)------------------------------
% 0.61/0.39 % (376727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (376727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (376727)CaDiCaL version: 2.1.3
% 0.61/0.39 % (376727)Termination reason: Instruction limit
% 0.61/0.39 % (376727)Termination phase: shuffling
% 0.61/0.39 % (376727)Time elapsed: 0.002 s
% 0.61/0.39 % (376727)Peak memory usage: 10 MB
% 0.61/0.39 % (376727)Instructions burned: 4 (million)
% 0.61/0.39 % (376726)Instruction limit reached!
% 0.61/0.39 % (376726)------------------------------
% 0.61/0.39 % (376726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (376726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (376726)CaDiCaL version: 2.1.3
% 0.61/0.39 % (376726)Termination reason: Instruction limit
% 0.61/0.39 % (376726)Termination phase: Property scanning
% 0.61/0.39 % (376726)Time elapsed: 0.008 s
% 0.61/0.39 % (376726)Peak memory usage: 10 MB
% 0.61/0.39 % (376726)Instructions burned: 18 (million)
% 0.61/0.39 % (376729)Instruction limit reached!
% 0.61/0.39 % (376729)------------------------------
% 0.61/0.39 % (376729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (376729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (376729)CaDiCaL version: 2.1.3
% 0.61/0.39 % (376729)Termination reason: Instruction limit
% 0.61/0.39 % (376729)Termination phase: Preprocessing 3
% 0.61/0.39 % (376729)Time elapsed: 0.012 s
% 0.61/0.39 % (376729)Peak memory usage: 11 MB
% 0.61/0.39 % (376729)Instructions burned: 25 (million)
% 0.61/0.39 % (376725)Instruction limit reached!
% 0.61/0.39 % (376725)------------------------------
% 0.61/0.39 % (376725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.39 % (376725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.39 % (376725)CaDiCaL version: 2.1.3
% 0.61/0.39 % (376725)Termination reason: Instruction limit
% 0.61/0.39 % (376725)Termination phase: Saturation
% 0.61/0.39 % (376725)Time elapsed: 0.022 s
% 0.61/0.39 % (376725)Peak memory usage: 13 MB
% 0.61/0.39 % (376725)Instructions burned: 89 (million)
% 0.61/0.39 % (376739)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1878475203:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.39 % (376742)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3683455593:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.61/0.39 % (376739)Instruction limit reached!
% 0.61/0.40 % (376739)------------------------------
% 0.61/0.40 % (376739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376739)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376739)Termination reason: Instruction limit
% 0.61/0.40 % (376739)Termination phase: shuffling
% 0.61/0.40 % (376739)Time elapsed: 0.003 s
% 0.61/0.40 % (376739)Peak memory usage: 10 MB
% 0.61/0.40 % (376739)Instructions burned: 6 (million)
% 0.61/0.40 % (376741)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.40 % (376742)Instruction limit reached!
% 0.61/0.40 % (376742)------------------------------
% 0.61/0.40 % (376742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376742)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376742)Termination reason: Instruction limit
% 0.61/0.40 % (376742)Termination phase: Property scanning
% 0.61/0.40 % (376742)Time elapsed: 0.003 s
% 0.61/0.40 % (376742)Peak memory usage: 10 MB
% 0.61/0.40 % (376742)Instructions burned: 15 (million)
% 0.61/0.40 % (376740)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3830630291:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.61/0.40 % (376741)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3437043675:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.61/0.40 % (376740)Instruction limit reached!
% 0.61/0.40 % (376740)------------------------------
% 0.61/0.40 % (376740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376740)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376740)Termination reason: Instruction limit
% 0.61/0.40 % (376740)Termination phase: shuffling
% 0.61/0.40 % (376740)Time elapsed: 0.003 s
% 0.61/0.40 % (376740)Peak memory usage: 10 MB
% 0.61/0.40 % (376740)Instructions burned: 6 (million)
% 0.61/0.40 % (376730)Instruction limit reached!
% 0.61/0.40 % (376730)------------------------------
% 0.61/0.40 % (376730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376730)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376730)Termination reason: Instruction limit
% 0.61/0.40 % (376730)Termination phase: Saturation
% 0.61/0.40 % (376730)Time elapsed: 0.034 s
% 0.61/0.40 % (376730)Peak memory usage: 12 MB
% 0.61/0.40 % (376730)Instructions burned: 77 (million)
% 0.61/0.40 % (376746)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=1953419090:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.61/0.40 % (376741)Instruction limit reached!
% 0.61/0.40 % (376741)------------------------------
% 0.61/0.40 % (376741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376741)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376741)Termination reason: Instruction limit
% 0.61/0.40 % (376741)Termination phase: Property scanning
% 0.61/0.40 % (376741)Time elapsed: 0.008 s
% 0.61/0.40 % (376741)Peak memory usage: 10 MB
% 0.61/0.40 % (376741)Instructions burned: 17 (million)
% 0.61/0.40 % (376745)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
% 0.61/0.40 % (376745)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.40 % (376745)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=579553362:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.61/0.40 % (376750)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.61/0.40 % (376749)lrs+10_1_si=on:cs=on:random_seed=4264698446:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.61/0.40 % (376750)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=1692027976:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.40 % (376750)Instruction limit reached!
% 0.61/0.40 % (376750)------------------------------
% 0.61/0.40 % (376750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376750)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376750)Termination reason: Instruction limit
% 0.61/0.40 % (376750)Termination phase: shuffling
% 0.61/0.40 % (376750)Time elapsed: 0.002 s
% 0.61/0.40 % (376750)Peak memory usage: 10 MB
% 0.61/0.40 % (376750)Instructions burned: 4 (million)
% 0.61/0.40 % (376749)Instruction limit reached!
% 0.61/0.40 % (376749)------------------------------
% 0.61/0.40 % (376749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376749)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376749)Termination reason: Instruction limit
% 0.61/0.40 % (376749)Termination phase: shuffling
% 0.61/0.40 % (376749)Time elapsed: 0.004 s
% 0.61/0.40 % (376749)Peak memory usage: 10 MB
% 0.61/0.40 % (376749)Instructions burned: 9 (million)
% 0.61/0.40 % (376745)Instruction limit reached!
% 0.61/0.40 % (376745)------------------------------
% 0.61/0.40 % (376745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376745)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376745)Termination reason: Instruction limit
% 0.61/0.40 % (376745)Termination phase: Property scanning
% 0.61/0.40 % (376745)Time elapsed: 0.013 s
% 0.61/0.40 % (376745)Peak memory usage: 11 MB
% 0.61/0.40 % (376745)Instructions burned: 30 (million)
% 0.61/0.40 % (376752)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=646462200:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.61/0.40 % (376746)Instruction limit reached!
% 0.61/0.40 % (376746)------------------------------
% 0.61/0.40 % (376746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376746)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376746)Termination reason: Instruction limit
% 0.61/0.40 % (376746)Termination phase: Saturation
% 0.61/0.40 % (376746)Time elapsed: 0.020 s
% 0.61/0.40 % (376746)Peak memory usage: 13 MB
% 0.61/0.40 % (376746)Instructions burned: 89 (million)
% 0.61/0.40 % (376731)Instruction limit reached!
% 0.61/0.40 % (376731)------------------------------
% 0.61/0.40 % (376731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376731)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376731)Termination reason: Instruction limit
% 0.61/0.40 % (376731)Termination phase: Saturation
% 0.61/0.40 % (376731)Time elapsed: 0.066 s
% 0.61/0.40 % (376731)Peak memory usage: 13 MB
% 0.61/0.40 % (376731)Instructions burned: 157 (million)
% 0.61/0.40 % (376760)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3194206833:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.61/0.40 % (376756)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2825659835:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.61/0.40 % (376757)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=751299690:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.61/0.40 % (376758)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=785967445:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.61/0.40 % (376752)Instruction limit reached!
% 0.61/0.40 % (376752)------------------------------
% 0.61/0.40 % (376752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376752)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376752)Termination reason: Instruction limit
% 0.61/0.40 % (376752)Termination phase: Preprocessing 3
% 0.61/0.40 % (376752)Time elapsed: 0.018 s
% 0.61/0.40 % (376752)Peak memory usage: 12 MB
% 0.61/0.40 % (376752)Instructions burned: 38 (million)
% 0.61/0.40 % (376728) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-376720-376728"...
% 0.61/0.40 % (376728)...printing done.
% 0.61/0.40 % (376758)Instruction limit reached!
% 0.61/0.40 % (376758)------------------------------
% 0.61/0.40 % (376758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376758)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376758)Termination reason: Instruction limit
% 0.61/0.40 % (376758)Termination phase: shuffling
% 0.61/0.40 % (376758)Time elapsed: 0.006 s
% 0.61/0.40 % (376758)Peak memory usage: 10 MB
% 0.61/0.40 % (376758)Instructions burned: 14 (million)
% 0.61/0.40 % (376728)Refutation found. Thanks to Tanya!
% 0.61/0.40 % SZS status Theorem for theBenchmark
% 0.61/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.40 % (376728)------------------------------
% 0.61/0.40 % (376728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (376728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (376728)CaDiCaL version: 2.1.3
% 0.61/0.40 % (376728)Termination reason: Refutation
% 0.61/0.40 % (376728)Time elapsed: 0.082 s
% 0.61/0.40 % (376728)Peak memory usage: 16 MB
% 0.61/0.40 % (376728)Instructions burned: 157 (million)
% 0.61/0.40 % (376720)Success in time 0.127 s
% 0.61/0.40 % Vampire exiting
%------------------------------------------------------------------------------