%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU569^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:30:06 AM UTC 2026
% Result : Theorem 0.20s 0.34s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 1392 ( 383 equ; 0 cnn)
% Maximal formula atoms : 86 ( 66 avg)
% Number of connectives : 687 ( 22 ~; 15 |; 261 &; 44 @)
% ( 2 <=>; 343 =>; 0 <=; 0 <~>)
% Maximal formula depth : 90 ( 32 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 258 ( 255 usr; 97 con; 0-4 aty)
% Number of variables : 30 ( 0 ^; 24 !; 6 ?; 30 :)
% 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_103,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_104,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_105,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_106,type,
vNOT: $o > $o ).
thf(func_def_107,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_108,type,
vAND: $o > $o > $o ).
thf(func_def_109,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_110,type,
vIMP: $o > $o > $o ).
thf(func_def_111,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_112,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_113,type,
sP0: $o ).
thf(func_def_114,type,
sP1: $i > $i > $o ).
thf(func_def_115,type,
sP2: $i > $o ).
thf(func_def_116,type,
sP3: $i > $i > $o ).
thf(func_def_117,type,
sP4: $i > $i > $o ).
thf(func_def_118,type,
sK5: $i > $i > $i ).
thf(func_def_121,type,
sK8: $i > $o ).
thf(func_def_125,type,
sK12: $i > $i ).
thf(func_def_126,type,
sK13: $i > $i > $i ).
thf(func_def_129,type,
sK16: $i > $o ).
thf(func_def_131,type,
sK18: $i > ( $i > $o ) > $i ).
thf(func_def_138,type,
sK25: $i > $o ).
thf(func_def_140,type,
sK27: ( $i > $o ) > $i > $i ).
thf(func_def_147,type,
sK34: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_148,type,
sK35: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_149,type,
sK36: $i > $o ).
thf(func_def_150,type,
sK37: $i > $o ).
thf(func_def_158,type,
sK45: $i > $i ).
thf(func_def_162,type,
sK49: $i > $i > $o ).
thf(func_def_164,type,
sK51: $i > $i ).
thf(func_def_165,type,
sK52: $i > $i ).
thf(func_def_166,type,
sK53: $i > ( $i > $i > $o ) > $i ).
thf(func_def_167,type,
sK54: $i > ( $i > $i > $o ) > $i ).
thf(func_def_168,type,
sK55: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_170,type,
sK57: $i > $o ).
thf(func_def_175,type,
sK62: $i > ( $i > $o ) > $i ).
thf(func_def_176,type,
sK63: $i > $o ).
thf(func_def_181,type,
sK68: $i > ( $i > $o ) > $i ).
thf(func_def_182,type,
sK69: $i > $o ).
thf(func_def_185,type,
sK72: $o ).
thf(func_def_190,type,
sK77: $i > $i > $i ).
thf(func_def_193,type,
sK80: $i > $o ).
thf(func_def_194,type,
sK81: $i > $i > $i ).
thf(func_def_200,type,
sK87: $o ).
thf(func_def_201,type,
sK88: $i > $o ).
thf(func_def_202,type,
sK89: $i > $i ).
thf(func_def_203,type,
sK90: ( $i > $o ) > $i ).
thf(func_def_206,type,
sK93: $i > $i > $i ).
thf(func_def_207,type,
sK94: $i > $i > $i ).
thf(func_def_211,type,
sK98: $i > $o ).
thf(func_def_219,type,
sK106: $o ).
thf(func_def_221,type,
sK108: $i > ( $i > $o ) > $i ).
thf(func_def_222,type,
sK109: $i > $o ).
thf(func_def_225,type,
sK112: $i > $o ).
thf(func_def_228,type,
sK115: $i > $i > $i ).
thf(func_def_229,type,
sK116: $i > $i > $i ).
thf(func_def_230,type,
sK117: $i > $i > $i ).
thf(func_def_231,type,
sK118: $i > $i > $i ).
thf(func_def_232,type,
sK119: $i > $i > $i > $i ).
thf(func_def_233,type,
sK120: $i > $i ).
thf(func_def_234,type,
sK121: $i > $i ).
thf(func_def_235,type,
sK122: $i > $i ).
thf(func_def_236,type,
sK123: $i > $i ).
thf(func_def_237,type,
sK124: $i > $i > $i ).
thf(func_def_238,type,
sK125: $i > $i > $i > $i ).
thf(func_def_239,type,
sK126: $i > $i > $i > $i ).
thf(func_def_240,type,
sK127: $i > $i > $i ).
thf(func_def_241,type,
sK128: $i > $i > $i ).
thf(func_def_242,type,
sK129: $i > $i ).
thf(func_def_243,type,
sK130: $i > $i > $i ).
thf(func_def_245,type,
sK132: $i > $i ).
thf(func_def_246,type,
sK133: $i > $i ).
thf(func_def_250,type,
sK137: $i > $i > $i ).
thf(func_def_257,type,
sK144: $i > $o ).
thf(func_def_260,type,
sK147: $i > ( $i > $o ) > $i ).
thf(func_def_264,type,
sK151: $i > $o ).
thf(func_def_266,type,
sK153: ( $i > $o ) > $i > $i ).
thf(func_def_274,type,
sK161: $i > $i ).
thf(func_def_281,type,
sK168: $o ).
thf(func_def_282,type,
sK169: $o > $i > $i > $i ).
thf(func_def_283,type,
sK170: ( $i > $o ) > $i ).
thf(func_def_284,type,
sK171: ( $i > $o ) > $i ).
thf(func_def_285,type,
sK172: $i > $o ).
thf(func_def_287,type,
sK174: $i > $i > $i ).
thf(func_def_292,type,
sK179: $i > $i ).
thf(func_def_295,type,
sK182: $i > $o ).
thf(func_def_296,type,
sK183: $i > $o ).
thf(func_def_297,type,
sK184: $i > $i ).
thf(func_def_298,type,
sK185: ( $i > $o ) > $i ).
thf(func_def_299,type,
sK186: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_300,type,
sK187: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_303,type,
sK190: $i > $o ).
thf(func_def_304,type,
sK191: $i > $o ).
thf(func_def_306,type,
sK193: $i > $i ).
thf(func_def_310,type,
sK197: $o ).
thf(func_def_313,type,
sK200: $i > $i ).
thf(func_def_315,type,
sK202: $i > $i ).
thf(func_def_316,type,
sK203: ( $i > $o ) > $i ).
thf(func_def_317,type,
sK204: $i > $o ).
thf(func_def_325,type,
sK212: $i > ( $i > $o ) > $i ).
thf(func_def_326,type,
sK213: $i > $o ).
thf(func_def_333,type,
sK220: $i > $o ).
thf(func_def_334,type,
sK221: $i > $o ).
thf(func_def_337,type,
sK224: $o ).
thf(func_def_346,type,
sK233: $i > $o ).
thf(func_def_347,type,
sK234: $i > $o ).
thf(func_def_348,type,
sK235: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_349,type,
sK236: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_352,type,
sK239: $i > $o ).
thf(func_def_356,type,
sK243: $i > $o ).
thf(func_def_359,type,
sK246: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_360,type,
sK247: ( $i > $o ) > $i ).
thf(func_def_361,type,
sK248: ( $i > $o ) > $i ).
thf(func_def_362,type,
sK249: ( $i > $o ) > $i > $i ).
thf(func_def_363,type,
sK250: $i > ( $i > $o ) > $i ).
thf(func_def_364,type,
sK251: ( $i > $o ) > $i ).
thf(func_def_365,type,
sK252: ( $i > $o ) > $i > $i ).
thf(func_def_366,type,
sK253: ( $i > $o ) > $i > $i ).
thf(func_def_367,type,
sK254: ( $i > $o ) > $i ).
thf(func_def_368,type,
sK255: ( $i > $o ) > $i > $i ).
thf(func_def_369,type,
sK256: ( $i > $o ) > $i > $i ).
thf(func_def_370,type,
sK257: ( $i > $o ) > $i ).
thf(func_def_371,type,
sK258: ( $i > $o ) > $i ).
thf(func_def_372,type,
sK259: ( $i > $o ) > $i > $i ).
thf(func_def_373,type,
sK260: ( $i > $o ) > $i > $i ).
thf(func_def_374,type,
sK261: $i > $i ).
thf(func_def_375,type,
sK262: ( $i > $o ) > $i ).
thf(func_def_376,type,
sK263: $i > ( $i > $o ) > $i ).
thf(func_def_377,type,
sK264: ( $i > $o ) > $i > $i ).
thf(func_def_378,type,
sK265: $i > ( $i > $o ) > $i ).
thf(func_def_379,type,
sK266: $i > ( $i > $o ) > $i ).
thf(func_def_380,type,
sK267: ( $i > $o ) > $i > $i ).
thf(func_def_381,type,
sK268: ( $i > $o ) > $i ).
thf(func_def_382,type,
sK269: ( $i > $o ) > $i > $i ).
thf(func_def_383,type,
sK270: ( $i > $o ) > $i > $i ).
thf(func_def_384,type,
sK271: ( $i > $o ) > $i ).
thf(func_def_385,type,
sK272: ( $i > $o ) > $i > $i ).
thf(func_def_386,type,
sK273: ( $i > $o ) > $i > $i ).
thf(func_def_387,type,
sK274: ( $i > $o ) > $i ).
thf(func_def_388,type,
sK275: ( $i > $o ) > $i > $i ).
thf(func_def_389,type,
sK276: ( $i > $o ) > $i > $i ).
thf(func_def_390,type,
sK277: ( $i > $o ) > $i ).
thf(func_def_391,type,
sK278: ( $i > $o ) > $i > $i ).
thf(func_def_392,type,
sK279: ( $i > $o ) > $i > $i ).
thf(func_def_393,type,
sK280: ( $i > $o ) > $i > $i ).
thf(func_def_394,type,
sK281: ( $i > $o ) > $i > $i ).
thf(func_def_395,type,
sK282: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_396,type,
sK283: ( $i > $o ) > $i > $i ).
thf(func_def_397,type,
sK284: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_398,type,
sK285: ( $i > $o ) > $i ).
thf(func_def_399,type,
sK286: ( $i > $o ) > $i ).
thf(func_def_400,type,
sK287: ( $i > $o ) > $i > $i ).
thf(func_def_401,type,
sK288: $i > ( $i > $o ) > $i ).
thf(f80,axiom,
! [X1: $i,X0: $i] :
( ( ( X0 = X1 )
=> ( subset @ X0 @ X1 ) )
= eqimpsubset1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqimpsubset1) ).
thf(f88,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
=> ! [X0: $i] : ( subset @ X0 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetRefl) ).
thf(f89,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
=> ! [X0: $i] : ( subset @ X0 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f88]) ).
thf(f211,plain,
! [X0: $i,X1: $i] :
( ( ( X0 = X1 )
=> ( subset @ X1 @ X0 ) )
= eqimpsubset1 ),
inference(rectify,[],[f80]) ).
thf(f212,plain,
( ! [X1: $i,X0: $i] :
( ( X0 = X1 )
=> ( ( subset @ X1 @ X0 )
= $true ) )
<=> ( eqimpsubset1 = $true ) ),
inference(fool_elimination,[],[f211]) ).
thf(f245,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
=> ! [X0: $i] : ( subset @ X0 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f89]) ).
thf(f246,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 )
=> ! [X0: $i] :
( ( subset @ X0 @ X0 )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f245]) ).
thf(f326,plain,
( ? [X0: $i] :
( ( subset @ X0 @ X0 )
!= $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,[],[f246]) ).
thf(f327,plain,
( ( dsetconstrER = $true )
& ( eqimpsubset1 = $true )
& ( upairsetIR = $true )
& ( powersetE = $true )
& ( emptyinPowerset = $true )
& ( notsubsetI = $true )
& ( descrp = $true )
& ( setext = $true )
& ( emptyinunitempty = $true )
& ( eqinunit = $true )
& ( notequalI2 = $true )
& ( powerset__Cong = $true )
& ( inCongP = $true )
& ( emptyset__Cong = $true )
& ( quantDeMorgan2 = $true )
& ( powersetAx = $true )
& ( prop2set2propI = $true )
& ( quantDeMorgan1 = $true )
& ( exuE3e = $true )
& ( omega0Ax = $true )
& ( setadjoinIR = $true )
& ( omegaSAx = $true )
& ( setextAx = $true )
& ( setunionI = $true )
& ( upairsetE = $true )
& ( noeltsimpempty = $true )
& ( exu__Cong = $true )
& ( setunion__Cong = $true )
& ( setbeta = $true )
& ( wellorderingAx = $true )
& ( prop2setI = $true )
& ( subsetI1 = $true )
& ( emptysetsubset = $true )
& ( notinsingleton = $true )
& ( emptyI = $true )
& ( emptyInPowerset = $true )
& ( setadjoinAx = $true )
& ( emptysetimpfalse = $true )
& ( subsetE = $true )
& ( omegaIndAx = $true )
& ( subsetI2 = $true )
& ( powersetI = $true )
& ( notdexE = $true )
& ( exuE2 = $true )
& ( omega__Cong = $true )
& ( dsetconstr__Cong = $true )
& ? [X0: $i] :
( ( subset @ X0 @ X0 )
!= $true )
& ( setadjoinOr = $true )
& ( subPowSU = $true )
& ( foundationAx = $true )
& ( setoftrueEq = $true )
& ( prop2setE = $true )
& ( replAx = $true )
& ( setadjoin__Cong = $true )
& ( subsetE2 = $true )
& ( notinemptyset = $true )
& ( vacuousDall = $true )
& ( exuE3u = $true )
& ( singletonsswitch = $true )
& ( setunionAx = $true )
& ( dsetconstrEL = $true )
& ( descr__Cong = $true )
& ( exuE1 = $true )
& ( eqimpsubset2 = $true )
& ( nonemptyE1 = $true )
& ( exuI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyI1 = $true )
& ( quantDeMorgan4 = $true )
& ( exuI2 = $true )
& ( setadjoinE = $true )
& ( in__Cong = $true )
& ( upairsetIL = $true )
& ( uniqinunit = $true )
& ( notequalI1 = $true )
& ( notdallE = $true )
& ( dsetconstrI = $true )
& ( setunionE = $true )
& ( emptysetE = $true )
& ( quantDeMorgan3 = $true )
& ( exuI3 = $true )
& ( emptysetAx = $true )
& ( nonemptyImpWitness = $true )
& ( emptyE1 = $true )
& ( exuEu = $true )
& ( setadjoinIL = $true ) ),
inference(flattening,[],[f326]) ).
thf(f355,plain,
( ! [X1: $i,X0: $i] :
( ( X0 != X1 )
| ( ( subset @ X1 @ X0 )
= $true ) )
<=> ( eqimpsubset1 = $true ) ),
inference(ennf_transformation,[],[f212]) ).
thf(f526,plain,
( ( ! [X1: $i,X0: $i] :
( ( X0 != X1 )
| ( ( subset @ X1 @ X0 )
= $true ) )
| ( eqimpsubset1 != $true ) )
& ( ( eqimpsubset1 = $true )
| ? [X1: $i,X0: $i] :
( ( X0 = X1 )
& ( ( subset @ X1 @ X0 )
!= $true ) ) ) ),
inference(nnf_transformation,[],[f355]) ).
thf(f527,plain,
( ( ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( subset @ X0 @ X1 )
= $true ) )
| ( eqimpsubset1 != $true ) )
& ( ( eqimpsubset1 = $true )
| ? [X2: $i,X3: $i] :
( ( X2 = X3 )
& ( ( subset @ X2 @ X3 )
!= $true ) ) ) ),
inference(rectify,[],[f526]) ).
thf(f528,plain,
( ( ! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( subset @ X0 @ X1 )
= $true ) )
| ( eqimpsubset1 != $true ) )
& ( ( eqimpsubset1 = $true )
| ( ( sK140 = sK141 )
& ( ( subset @ sK140 @ sK141 )
!= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK140,sK141]),skolemize(X2,sK140),skolemize(X3,sK141)],[f527]) ).
thf(f619,plain,
( ( dsetconstrER = $true )
& ( eqimpsubset1 = $true )
& ( upairsetIR = $true )
& ( powersetE = $true )
& ( emptyinPowerset = $true )
& ( notsubsetI = $true )
& ( descrp = $true )
& ( setext = $true )
& ( emptyinunitempty = $true )
& ( eqinunit = $true )
& ( notequalI2 = $true )
& ( powerset__Cong = $true )
& ( inCongP = $true )
& ( emptyset__Cong = $true )
& ( quantDeMorgan2 = $true )
& ( powersetAx = $true )
& ( prop2set2propI = $true )
& ( quantDeMorgan1 = $true )
& ( exuE3e = $true )
& ( omega0Ax = $true )
& ( setadjoinIR = $true )
& ( omegaSAx = $true )
& ( setextAx = $true )
& ( setunionI = $true )
& ( upairsetE = $true )
& ( noeltsimpempty = $true )
& ( exu__Cong = $true )
& ( setunion__Cong = $true )
& ( setbeta = $true )
& ( wellorderingAx = $true )
& ( prop2setI = $true )
& ( subsetI1 = $true )
& ( emptysetsubset = $true )
& ( notinsingleton = $true )
& ( emptyI = $true )
& ( emptyInPowerset = $true )
& ( setadjoinAx = $true )
& ( emptysetimpfalse = $true )
& ( subsetE = $true )
& ( omegaIndAx = $true )
& ( subsetI2 = $true )
& ( powersetI = $true )
& ( notdexE = $true )
& ( exuE2 = $true )
& ( omega__Cong = $true )
& ( dsetconstr__Cong = $true )
& ( $true
!= ( subset @ sK225 @ sK225 ) )
& ( setadjoinOr = $true )
& ( subPowSU = $true )
& ( foundationAx = $true )
& ( setoftrueEq = $true )
& ( prop2setE = $true )
& ( replAx = $true )
& ( setadjoin__Cong = $true )
& ( subsetE2 = $true )
& ( notinemptyset = $true )
& ( vacuousDall = $true )
& ( exuE3u = $true )
& ( singletonsswitch = $true )
& ( setunionAx = $true )
& ( dsetconstrEL = $true )
& ( descr__Cong = $true )
& ( exuE1 = $true )
& ( eqimpsubset2 = $true )
& ( nonemptyE1 = $true )
& ( exuI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyI1 = $true )
& ( quantDeMorgan4 = $true )
& ( exuI2 = $true )
& ( setadjoinE = $true )
& ( in__Cong = $true )
& ( upairsetIL = $true )
& ( uniqinunit = $true )
& ( notequalI1 = $true )
& ( notdallE = $true )
& ( dsetconstrI = $true )
& ( setunionE = $true )
& ( emptysetE = $true )
& ( quantDeMorgan3 = $true )
& ( exuI3 = $true )
& ( emptysetAx = $true )
& ( nonemptyImpWitness = $true )
& ( emptyE1 = $true )
& ( exuEu = $true )
& ( setadjoinIL = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK225]),skolemize(X0,sK225)],[f327]) ).
thf(f856,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( subset @ X0 @ X1 )
= $true )
| ( eqimpsubset1 != $true ) ),
inference(cnf_transformation,[],[f528]) ).
thf(f1016,plain,
( $true
!= ( subset @ sK225 @ sK225 ) ),
inference(cnf_transformation,[],[f619]) ).
thf(f1061,plain,
eqimpsubset1 = $true,
inference(cnf_transformation,[],[f619]) ).
thf(f1269,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( subset @ X0 @ X1 )
= $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f856,f1061]) ).
thf(f1431,plain,
! [X1: $i] :
( ( $true
= ( subset @ X1 @ X1 ) )
| ( $true != $true ) ),
inference(equality_resolution,[],[f1269]) ).
thf(f1487,plain,
! [X1: $i] :
( $true
= ( subset @ X1 @ X1 ) ),
inference(trivial_inequality_removal,[],[f1431]) ).
thf(f2008,plain,
$false,
inference(forward_subsumption_resolution,[],[f1016,f1487]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU569^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n015.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 13:54:18 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.33 % (3561334)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.33 % (3561344)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=896493159:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.33 % (3561345)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.33 % (3561345)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.33 % (3561339)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4271588174:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.33 % (3561340)lrs+10_16_si=on:nwc=1.5:random_seed=3085871497:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.33 % (3561341)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2841719975:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.34 % (3561343)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=228088790:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.34 % (3561342)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=3820978138:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.20/0.34 % (3561345)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=3132249307:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.34 % (3561341)Instruction limit reached!
% 0.20/0.34 % (3561341)------------------------------
% 0.20/0.34 % (3561341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (3561341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (3561341)CaDiCaL version: 2.1.3
% 0.20/0.34 % (3561341)Termination reason: Instruction limit
% 0.20/0.34 % (3561341)Termination phase: shuffling
% 0.20/0.34 % (3561341)Time elapsed: 0.002 s
% 0.20/0.34 % (3561341)Peak memory usage: 10 MB
% 0.20/0.34 % (3561341)Instructions burned: 4 (million)
% 0.20/0.34 % (3561340)Instruction limit reached!
% 0.20/0.34 % (3561340)------------------------------
% 0.20/0.34 % (3561340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (3561340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (3561340)CaDiCaL version: 2.1.3
% 0.20/0.34 % (3561340)Termination reason: Instruction limit
% 0.20/0.34 % (3561340)Termination phase: Property scanning
% 0.20/0.34 % (3561340)Time elapsed: 0.008 s
% 0.20/0.34 % (3561340)Peak memory usage: 10 MB
% 0.20/0.34 % (3561340)Instructions burned: 19 (million)
% 0.20/0.34 % (3561344)Instruction limit reached!
% 0.20/0.34 % (3561344)------------------------------
% 0.20/0.34 % (3561344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (3561344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (3561344)CaDiCaL version: 2.1.3
% 0.20/0.34 % (3561344)Termination reason: Instruction limit
% 0.20/0.34 % (3561344)Termination phase: Saturation
% 0.20/0.34 % (3561344)Time elapsed: 0.019 s
% 0.20/0.34 % (3561344)Peak memory usage: 13 MB
% 0.20/0.34 % (3561344)Instructions burned: 75 (million)
% 0.20/0.34 % (3561343)Instruction limit reached!
% 0.20/0.34 % (3561343)------------------------------
% 0.20/0.34 % (3561343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (3561343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (3561343)CaDiCaL version: 2.1.3
% 0.20/0.34 % (3561343)Termination reason: Instruction limit
% 0.20/0.34 % (3561343)Termination phase: Preprocessing 3
% 0.20/0.34 % (3561343)Time elapsed: 0.012 s
% 0.20/0.34 % (3561343)Peak memory usage: 11 MB
% 0.20/0.34 % (3561343)Instructions burned: 24 (million)
% 0.20/0.34 % (3561355)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.34 % (3561353)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2042292603:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.34 % (3561355)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2758515008:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.34 % (3561353)Instruction limit reached!
% 0.20/0.34 % (3561353)------------------------------
% 0.20/0.34 % (3561353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (3561353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (3561353)CaDiCaL version: 2.1.3
% 0.20/0.34 % (3561353)Termination reason: Instruction limit
% 0.20/0.34 % (3561353)Termination phase: shuffling
% 0.20/0.34 % (3561353)Time elapsed: 0.002 s
% 0.20/0.34 % (3561353)Peak memory usage: 10 MB
% 0.20/0.34 % (3561353)Instructions burned: 4 (million)
% 0.20/0.34 % (3561355)Instruction limit reached!
% 0.20/0.34 % (3561355)------------------------------
% 0.20/0.34 % (3561355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (3561355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (3561355)CaDiCaL version: 2.1.3
% 0.20/0.34 % (3561355)Termination reason: Instruction limit
% 0.20/0.34 % (3561355)Termination phase: shuffling
% 0.20/0.34 % (3561355)Time elapsed: 0.002 s
% 0.20/0.34 % (3561355)Peak memory usage: 10 MB
% 0.20/0.34 % (3561355)Instructions burned: 8 (million)
% 0.20/0.34 % (3561354)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2830269177:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.34 % (3561354)Instruction limit reached!
% 0.20/0.34 % (3561354)------------------------------
% 0.20/0.34 % (3561354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (3561354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (3561354)CaDiCaL version: 2.1.3
% 0.20/0.34 % (3561354)Termination reason: Instruction limit
% 0.20/0.34 % (3561354)Termination phase: shuffling
% 0.20/0.34 % (3561354)Time elapsed: 0.003 s
% 0.20/0.34 % (3561354)Peak memory usage: 10 MB
% 0.20/0.34 % (3561354)Instructions burned: 6 (million)
% 0.20/0.34 % (3561356)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3853459813:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.34 % (3561339) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3561334-3561339"...
% 0.20/0.34 % (3561339)...printing done.
% 0.20/0.34 % (3561360)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=4227652395:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.20/0.34 % (3561339)Refutation found. Thanks to Tanya!
% 0.20/0.34 % SZS status Theorem for theBenchmark
% 0.20/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.34 % (3561339)------------------------------
% 0.20/0.34 % (3561339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (3561339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (3561339)CaDiCaL version: 2.1.3
% 0.20/0.34 % (3561339)Termination reason: Refutation
% 0.20/0.34 % (3561339)Time elapsed: 0.035 s
% 0.20/0.34 % (3561339)Peak memory usage: 13 MB
% 0.20/0.34 % (3561339)Instructions burned: 72 (million)
% 0.20/0.34 % (3561334)Success in time 0.073 s
% 0.20/0.34 % Vampire exiting
%------------------------------------------------------------------------------