%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU549^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:30:01 AM UTC 2026
% Result : Theorem 0.21s 0.34s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 2
% Syntax : Number of formulae : 31 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 1332 ( 386 equ; 0 cnn)
% Maximal formula atoms : 69 ( 42 avg)
% Number of connectives : 669 ( 8 ~; 4 |; 212 &; 83 @)
% ( 0 <=>; 351 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 20 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 196 ( 191 usr; 79 con; 0-4 aty)
% ( 7 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 57 ( 28 ^; 21 !; 8 ?; 57 :)
% 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_80,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_81,type,
vAND: $o > $o > $o ).
thf(func_def_82,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_83,type,
vIMP: $o > $o > $o ).
thf(func_def_84,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_85,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_86,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_87,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_88,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_89,type,
vNOT: $o > $o ).
thf(func_def_90,type,
sP0: $o ).
thf(func_def_91,type,
sP1: $i > $i > $o ).
thf(func_def_92,type,
sP2: $i > $o ).
thf(func_def_93,type,
sP3: $i > $i > $o ).
thf(func_def_94,type,
sP4: $i > $i > $o ).
thf(func_def_95,type,
sK5: $o ).
thf(func_def_99,type,
sK9: $i > $o ).
thf(func_def_104,type,
sK14: $i > $i > $i ).
thf(func_def_105,type,
sK15: $i > ( $i > $o ) > $i ).
thf(func_def_106,type,
sK16: $i > $o ).
thf(func_def_110,type,
sK20: $i > $i > $i ).
thf(func_def_114,type,
sK24: $i > $i ).
thf(func_def_115,type,
sK25: ( $i > $o ) > $i ).
thf(func_def_116,type,
sK26: ( $i > $o ) > $i ).
thf(func_def_117,type,
sK27: $i > $o ).
thf(func_def_120,type,
sK30: $i > $i ).
thf(func_def_121,type,
sK31: $i > $o ).
thf(func_def_122,type,
sK32: $i > $i ).
thf(func_def_123,type,
sK33: ( $i > $o ) > $i ).
thf(func_def_124,type,
sK34: ( $i > $o ) > $i > $i ).
thf(func_def_126,type,
sK36: $i > $o ).
thf(func_def_131,type,
sK41: $i > $o ).
thf(func_def_134,type,
sK44: $i > ( $i > $o ) > $i ).
thf(func_def_135,type,
sK45: $i > $o ).
thf(func_def_139,type,
sK49: $i > $o ).
thf(func_def_146,type,
sK56: $i > $i > $i ).
thf(func_def_148,type,
sK58: $i > $o ).
thf(func_def_151,type,
sK61: $i > ( $i > $o ) > $i ).
thf(func_def_152,type,
sK62: $i > $i ).
thf(func_def_160,type,
sK70: $i > $o ).
thf(func_def_161,type,
sK71: $i > $o ).
thf(func_def_164,type,
sK74: $i > ( $i > $o ) > $i ).
thf(func_def_170,type,
sK80: $i > ( $i > $o ) > $i ).
thf(func_def_171,type,
sK81: $i > $o ).
thf(func_def_173,type,
sK83: $i > $o ).
thf(func_def_174,type,
sK84: $i > ( $i > $o ) > $i ).
thf(func_def_175,type,
sK85: $i > $o ).
thf(func_def_181,type,
sK91: $i > $i ).
thf(func_def_182,type,
sK92: ( $i > $o ) > $i ).
thf(func_def_183,type,
sK93: $i > $o ).
thf(func_def_189,type,
sK99: $i > $o ).
thf(func_def_190,type,
sK100: $i > $i ).
thf(func_def_191,type,
sK101: ( $i > $o ) > $i ).
thf(func_def_193,type,
sK103: $o ).
thf(func_def_200,type,
sK110: $i > $o ).
thf(func_def_205,type,
sK115: $i > $o ).
thf(func_def_211,type,
sK121: $i > $o ).
thf(func_def_214,type,
sK124: $i > ( $i > $o ) > $i ).
thf(func_def_215,type,
sK125: $o ).
thf(func_def_218,type,
sK128: $i > $i > $o ).
thf(func_def_220,type,
sK130: $i > $i ).
thf(func_def_221,type,
sK131: $i > $i ).
thf(func_def_222,type,
sK132: $i > ( $i > $i > $o ) > $i ).
thf(func_def_223,type,
sK133: $i > ( $i > $i > $o ) > $i ).
thf(func_def_224,type,
sK134: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_230,type,
sK140: $o ).
thf(func_def_234,type,
sK144: $i > $i > $i ).
thf(func_def_235,type,
sK145: $i > $i > $i ).
thf(func_def_238,type,
sK148: $o ).
thf(func_def_239,type,
sK149: $i > $i > $i ).
thf(func_def_240,type,
sK150: $i > $i > $i ).
thf(func_def_241,type,
sK151: $i > $i > $i ).
thf(func_def_242,type,
sK152: $i > $i > $i ).
thf(func_def_243,type,
sK153: $i > $i > $i ).
thf(func_def_244,type,
sK154: $i > $i > $i > $i ).
thf(func_def_245,type,
sK155: $i > $i ).
thf(func_def_246,type,
sK156: $i > $i ).
thf(func_def_247,type,
sK157: $i > $i ).
thf(func_def_248,type,
sK158: $i > $i ).
thf(func_def_249,type,
sK159: $i > $i > $i ).
thf(func_def_250,type,
sK160: $i > $i > $i > $i ).
thf(func_def_251,type,
sK161: $i > $i > $i > $i ).
thf(func_def_252,type,
sK162: $i > $i > $i ).
thf(func_def_253,type,
sK163: $i > $i > $i ).
thf(func_def_255,type,
sK165: $i > $i ).
thf(func_def_256,type,
sK166: $i > $i ).
thf(func_def_257,type,
sK167: $i > $i ).
thf(func_def_258,type,
sK168: $i > $o ).
thf(func_def_261,type,
sK171: $i > $i ).
thf(func_def_265,type,
sK175: $i > $o ).
thf(func_def_276,type,
sK186: $i > $i > $i ).
thf(func_def_278,type,
sK188: $i > $i ).
thf(func_def_280,type,
sK190: $i > $i ).
thf(func_def_283,type,
sK193: $o ).
thf(func_def_284,type,
sK194: $o > $i > $i > $i ).
thf(func_def_285,type,
sK195: ( $i > $o ) > $i > $i ).
thf(func_def_286,type,
sK196: ( $i > $o ) > $i > $i ).
thf(func_def_287,type,
sK197: ( $i > $o ) > $i > $i ).
thf(func_def_288,type,
sK198: ( $i > $o ) > $i > $i ).
thf(func_def_289,type,
sK199: $i > $i ).
thf(func_def_290,type,
sK200: ( $i > $o ) > $i ).
thf(func_def_291,type,
sK201: ( $i > $o ) > $i ).
thf(func_def_292,type,
sK202: ( $i > $o ) > $i ).
thf(func_def_293,type,
sK203: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_294,type,
sK204: $i > ( $i > $o ) > $i ).
thf(func_def_295,type,
sK205: ( $i > $o ) > $i ).
thf(func_def_296,type,
sK206: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_297,type,
sK207: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_298,type,
sK208: ( $i > $o ) > $i > $i ).
thf(func_def_299,type,
sK209: ( $i > $o ) > $i ).
thf(func_def_300,type,
sK210: ( $i > $o ) > $i ).
thf(func_def_301,type,
sK211: ( $i > $o ) > $i ).
thf(f1,axiom,
( exu
= ( ^ [X0: $i > $o] :
? [X1: $i] :
( ( X0 @ X1 )
& ! [X2: $i] :
( ( X0 @ X2 )
=> ( X1 = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exu) ).
thf(f68,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
=> ! [X0: $i > $o] :
( ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) )
=> ! [X2: $i,X1: $i] :
( ( X0 @ X1 )
=> ( ( X0 @ X2 )
=> ( X1 = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuE3u) ).
thf(f69,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
=> ! [X0: $i > $o] :
( ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) )
=> ! [X2: $i,X1: $i] :
( ( X0 @ X1 )
=> ( ( X0 @ X2 )
=> ( X1 = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f68]) ).
thf(f72,plain,
( exu
= ( ^ [X0: $i > $o] :
? [X1: $i] :
( ( X0 @ X1 )
& ! [X2: $i] :
( ( X0 @ X2 )
=> ( X1 = X2 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f73,plain,
( exu
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f72]) ).
thf(f116,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
=> ! [X0: $i > $o] :
( ( exu
@ ^ [X1: $i] : ( X0 @ X1 ) )
=> ! [X2: $i,X3: $i] :
( ( X0 @ X3 )
=> ( ( X0 @ X2 )
=> ( X2 = X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f69]) ).
thf(f117,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 )
=> ! [X0: $i > $o] :
( ( ( exu
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
= $true )
=> ! [X2: $i,X3: $i] :
( ( ( X0 @ X3 )
= $true )
=> ( ( ( X0 @ X2 )
= $true )
=> ( X2 = X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f116]) ).
thf(f210,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 )
=> ! [X0: $i > $o] :
( ( ( exu
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
= $true )
=> ! [X1: $i,X2: $i] :
( ( ( X0 @ X2 )
= $true )
=> ( ( ( X0 @ X1 )
= $true )
=> ( X1 = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f117]) ).
thf(f242,plain,
( ? [X0: $i > $o] :
( ? [X1: $i,X2: $i] :
( ( X1 != X2 )
& ( ( X0 @ X1 )
= $true )
& ( ( X0 @ X2 )
= $true ) )
& ( ( exu
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
= $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,[],[f210]) ).
thf(f243,plain,
( ( exuE2 = $true )
& ( setadjoinIL = $true )
& ( setadjoinAx = $true )
& ( noeltsimpempty = $true )
& ( subPowSU = $true )
& ( prop2setE = $true )
& ( dsetconstrI = $true )
& ( dsetconstrEL = $true )
& ( notdallE = $true )
& ( exuE1 = $true )
& ( singletonsswitch = $true )
& ( quantDeMorgan3 = $true )
& ( upairsetIL = $true )
& ( quantDeMorgan2 = $true )
& ( replAx = $true )
& ( exuE3e = $true )
& ( setext = $true )
& ( emptyinunitempty = $true )
& ( emptysetimpfalse = $true )
& ( setunionI = $true )
& ( nonemptyI1 = $true )
& ( inCongP = $true )
& ( emptyI = $true )
& ( nonemptyE1 = $true )
& ( prop2set2propI = $true )
& ( exuI1 = $true )
& ( foundationAx = $true )
& ( quantDeMorgan1 = $true )
& ( notinsingleton = $true )
& ( powersetAx = $true )
& ( setadjoinIR = $true )
& ( prop2setI = $true )
& ( exuI3 = $true )
& ( powersetI = $true )
& ( eqinunit = $true )
& ( upairsetE = $true )
& ? [X0: $i > $o] :
( ( ( exu
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
= $true )
& ? [X1: $i,X2: $i] :
( ( ( X0 @ X2 )
= $true )
& ( X1 != X2 )
& ( ( X0 @ X1 )
= $true ) ) )
& ( notinemptyset = $true )
& ( nonemptyI = $true )
& ( omegaIndAx = $true )
& ( exuI2 = $true )
& ( uniqinunit = $true )
& ( emptyE1 = $true )
& ( vacuousDall = $true )
& ( emptyinPowerset = $true )
& ( nonemptyImpWitness = $true )
& ( omegaSAx = $true )
& ( emptysetE = $true )
& ( omega0Ax = $true )
& ( setunionE = $true )
& ( powersetE = $true )
& ( upairsetIR = $true )
& ( setbeta = $true )
& ( setadjoinE = $true )
& ( wellorderingAx = $true )
& ( setoftrueEq = $true )
& ( notdexE = $true )
& ( dsetconstrER = $true )
& ( setadjoinOr = $true )
& ( in__Cong = $true )
& ( emptyInPowerset = $true )
& ( quantDeMorgan4 = $true )
& ( emptysetAx = $true )
& ( setextAx = $true )
& ( descrp = $true )
& ( setunionAx = $true ) ),
inference(flattening,[],[f242]) ).
thf(f475,plain,
( ( exuE2 = $true )
& ( setadjoinIL = $true )
& ( setadjoinAx = $true )
& ( noeltsimpempty = $true )
& ( subPowSU = $true )
& ( prop2setE = $true )
& ( dsetconstrI = $true )
& ( dsetconstrEL = $true )
& ( notdallE = $true )
& ( exuE1 = $true )
& ( singletonsswitch = $true )
& ( quantDeMorgan3 = $true )
& ( upairsetIL = $true )
& ( quantDeMorgan2 = $true )
& ( replAx = $true )
& ( exuE3e = $true )
& ( setext = $true )
& ( emptyinunitempty = $true )
& ( emptysetimpfalse = $true )
& ( setunionI = $true )
& ( nonemptyI1 = $true )
& ( inCongP = $true )
& ( emptyI = $true )
& ( nonemptyE1 = $true )
& ( prop2set2propI = $true )
& ( exuI1 = $true )
& ( foundationAx = $true )
& ( quantDeMorgan1 = $true )
& ( notinsingleton = $true )
& ( powersetAx = $true )
& ( setadjoinIR = $true )
& ( prop2setI = $true )
& ( exuI3 = $true )
& ( powersetI = $true )
& ( eqinunit = $true )
& ( upairsetE = $true )
& ( $true
= ( exu
@ ^ [Y0: $i] : ( sK168 @ Y0 ) ) )
& ( ( sK168 @ sK170 )
= $true )
& ( sK170 != sK169 )
& ( ( sK168 @ sK169 )
= $true )
& ( notinemptyset = $true )
& ( nonemptyI = $true )
& ( omegaIndAx = $true )
& ( exuI2 = $true )
& ( uniqinunit = $true )
& ( emptyE1 = $true )
& ( vacuousDall = $true )
& ( emptyinPowerset = $true )
& ( nonemptyImpWitness = $true )
& ( omegaSAx = $true )
& ( emptysetE = $true )
& ( omega0Ax = $true )
& ( setunionE = $true )
& ( powersetE = $true )
& ( upairsetIR = $true )
& ( setbeta = $true )
& ( setadjoinE = $true )
& ( wellorderingAx = $true )
& ( setoftrueEq = $true )
& ( notdexE = $true )
& ( dsetconstrER = $true )
& ( setadjoinOr = $true )
& ( in__Cong = $true )
& ( emptyInPowerset = $true )
& ( quantDeMorgan4 = $true )
& ( emptysetAx = $true )
& ( setextAx = $true )
& ( descrp = $true )
& ( setunionAx = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK168,sK169,sK170]),skolemize(X0,sK168),skolemize(X1,sK169),skolemize(X2,sK170)],[f243]) ).
thf(f787,plain,
( ( sK168 @ sK169 )
= $true ),
inference(cnf_transformation,[],[f475]) ).
thf(f788,plain,
sK170 != sK169,
inference(cnf_transformation,[],[f475]) ).
thf(f789,plain,
( ( sK168 @ sK170 )
= $true ),
inference(cnf_transformation,[],[f475]) ).
thf(f790,plain,
( $true
= ( exu
@ ^ [Y0: $i] : ( sK168 @ Y0 ) ) ),
inference(cnf_transformation,[],[f475]) ).
thf(f850,plain,
( exu
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f73]) ).
thf(f1080,plain,
( $true
= ( ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 = Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ ^ [Y0: $i] : ( sK168 @ Y0 ) ) ),
inference(definition_unfolding,[],[f790,f850]) ).
thf(f1403,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( sK168 @ Y1 )
=> ( Y0 = Y1 ) ) )
& ( sK168 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1080]) ).
thf(f1404,plain,
( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( sK168 @ Y1 )
=> ( Y0 = Y1 ) ) )
& ( sK168 @ Y0 ) )
@ sK212 ) ),
inference(sigma_proxy_clausification,[],[f1403]) ).
thf(f1405,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK168 @ Y0 )
=> ( sK212 = Y0 ) ) )
& ( sK168 @ sK212 ) )
= $true ),
inference(beta-eta_normalization,[],[f1404]) ).
thf(f1407,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK168 @ Y0 )
=> ( sK212 = Y0 ) ) )
= $true ),
inference(and_proxy_clausification,[],[f1405]) ).
thf(f1408,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK168 @ Y0 )
=> ( sK212 = Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1407]) ).
thf(f1409,plain,
! [X1: $i] :
( ( ( sK168 @ X1 )
=> ( sK212 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f1408]) ).
thf(f1410,plain,
! [X1: $i] :
( ( $true
= ( sK212 = X1 ) )
| ( ( sK168 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f1409]) ).
thf(f1411,plain,
! [X1: $i] :
( ( ( sK168 @ X1 )
= $false )
| ( sK212 = X1 ) ),
inference(equality_proxy_clausification,[],[f1410]) ).
thf(f1475,plain,
( ( sK170 = sK212 )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f1411,f789]) ).
thf(f1476,plain,
( ( $false = $true )
| ( sK212 = sK169 ) ),
inference(constrained_superposition,[],[f787,f1411]) ).
thf(f1478,plain,
sK170 = sK212,
inference(trivial_inequality_removal,[],[f1475]) ).
thf(f1479,plain,
sK212 = sK169,
inference(trivial_inequality_removal,[],[f1476]) ).
thf(f1482,plain,
sK170 = sK169,
inference(forward_demodulation,[],[f1479,f1478]) ).
thf(f1484,plain,
$false,
inference(forward_subsumption_resolution,[],[f1482,f788]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU549^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:48:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.34 % (2143624)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.34 % (2143632)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=2813166777: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)
% 0.21/0.34 % (2143635)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.34 % (2143635)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
% 0.21/0.34 % (2143631)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2268504762:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.34 % (2143629)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2840339956:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.34 % (2143630)lrs+10_16_si=on:nwc=1.5:random_seed=1202436439:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.34 % (2143634)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1080321201:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.34 % (2143635)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=2082121217:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.34 % (2143631)Instruction limit reached!
% 0.21/0.34 % (2143631)------------------------------
% 0.21/0.34 % (2143631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (2143631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (2143631)CaDiCaL version: 2.1.3
% 0.21/0.34 % (2143631)Termination reason: Instruction limit
% 0.21/0.34 % (2143631)Termination phase: shuffling
% 0.21/0.34 % (2143631)Time elapsed: 0.002 s
% 0.21/0.34 % (2143633)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3410597667:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.34 % (2143631)Peak memory usage: 9 MB
% 0.21/0.34 % (2143631)Instructions burned: 3 (million)
% 0.21/0.34 % (2143630)Instruction limit reached!
% 0.21/0.34 % (2143630)------------------------------
% 0.21/0.34 % (2143630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (2143630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (2143630)CaDiCaL version: 2.1.3
% 0.21/0.34 % (2143630)Termination reason: Instruction limit
% 0.21/0.34 % (2143630)Termination phase: Property scanning
% 0.21/0.34 % (2143630)Time elapsed: 0.009 s
% 0.21/0.34 % (2143630)Peak memory usage: 10 MB
% 0.21/0.34 % (2143630)Instructions burned: 20 (million)
% 0.21/0.34 % (2143633)Instruction limit reached!
% 0.21/0.34 % (2143633)------------------------------
% 0.21/0.34 % (2143633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (2143633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (2143633)CaDiCaL version: 2.1.3
% 0.21/0.34 % (2143633)Termination reason: Instruction limit
% 0.21/0.34 % (2143633)Termination phase: Property scanning
% 0.21/0.34 % (2143633)Time elapsed: 0.015 s
% 0.21/0.34 % (2143633)Peak memory usage: 11 MB
% 0.21/0.34 % (2143633)Instructions burned: 26 (million)
% 0.21/0.34 % (2143643)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2978084909:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.34 % (2143643)Instruction limit reached!
% 0.21/0.34 % (2143643)------------------------------
% 0.21/0.34 % (2143643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (2143643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (2143643)CaDiCaL version: 2.1.3
% 0.21/0.34 % (2143643)Termination reason: Instruction limit
% 0.21/0.34 % (2143643)Termination phase: shuffling
% 0.21/0.34 % (2143643)Time elapsed: 0.002 s
% 0.21/0.34 % (2143643)Peak memory usage: 9 MB
% 0.21/0.34 % (2143643)Instructions burned: 3 (million)
% 0.21/0.34 % (2143644)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4083320583:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.34 % (2143644)Instruction limit reached!
% 0.21/0.34 % (2143644)------------------------------
% 0.21/0.34 % (2143644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (2143644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (2143644)CaDiCaL version: 2.1.3
% 0.21/0.34 % (2143644)Termination reason: Instruction limit
% 0.21/0.34 % (2143644)Termination phase: shuffling
% 0.21/0.34 % (2143644)Time elapsed: 0.003 s
% 0.21/0.34 % (2143644)Peak memory usage: 9 MB
% 0.21/0.34 % (2143644)Instructions burned: 6 (million)
% 0.21/0.34 % (2143645)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.34 % (2143629) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2143624-2143629"...
% 0.21/0.34 % (2143634)Instruction limit reached!
% 0.21/0.34 % (2143634)------------------------------
% 0.21/0.34 % (2143634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (2143634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (2143634)CaDiCaL version: 2.1.3
% 0.21/0.34 % (2143634)Termination reason: Instruction limit
% 0.21/0.34 % (2143634)Termination phase: Saturation
% 0.21/0.34 % (2143634)Time elapsed: 0.037 s
% 0.21/0.34 % (2143634)Peak memory usage: 13 MB
% 0.21/0.34 % (2143634)Instructions burned: 76 (million)
% 0.21/0.34 % (2143629)...printing done.
% 0.21/0.34 % (2143645)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1040182315:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.34 % (2143629)Refutation found. Thanks to Tanya!
% 0.21/0.34 % SZS status Theorem for theBenchmark
% 0.21/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.34 % (2143629)------------------------------
% 0.21/0.34 % (2143629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (2143629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (2143629)CaDiCaL version: 2.1.3
% 0.21/0.34 % (2143629)Termination reason: Refutation
% 0.21/0.34 % (2143629)Time elapsed: 0.039 s
% 0.21/0.34 % (2143629)Peak memory usage: 13 MB
% 0.21/0.34 % (2143629)Instructions burned: 71 (million)
% 0.21/0.34 % (2143624)Success in time 0.078 s
% 0.21/0.34 % Vampire exiting
%------------------------------------------------------------------------------