%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU567^1 : 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 : n018.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 0.21s 0.34s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 15 unt; 0 typ; 5 def)
% Number of atoms : 1699 ( 475 equ; 0 cnn)
% Maximal formula atoms : 85 ( 35 avg)
% Number of connectives : 827 ( 52 ~; 31 |; 258 &; 56 @)
% ( 7 <=>; 423 =>; 0 <=; 0 <~>)
% Maximal formula depth : 91 ( 17 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 : 217 ( 214 usr; 101 con; 0-4 aty)
% Number of variables : 37 ( 0 sgn 29 !; 8 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
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_101,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_102,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_103,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_104,type,
vAND: $o > $o > $o ).
thf(func_def_105,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_106,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_107,type,
vIMP: $o > $o > $o ).
thf(func_def_108,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_109,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_110,type,
vNOT: $o > $o ).
thf(func_def_111,type,
sP0: $i > $i > $o ).
thf(func_def_112,type,
sP1: $i > $o ).
thf(func_def_113,type,
sP2: $o ).
thf(func_def_117,type,
sK6: $i > $i ).
thf(func_def_121,type,
sK10: $i > $i ).
thf(func_def_127,type,
sK16: $i > $o ).
thf(func_def_131,type,
sK20: $i > $i > $i ).
thf(func_def_135,type,
sK24: $i > $o ).
thf(func_def_136,type,
sK25: ( $i > $o ) > $i ).
thf(func_def_140,type,
sK29: ( $i > $o ) > $i ).
thf(func_def_141,type,
sK30: $i > $o ).
thf(func_def_142,type,
sK31: $i > $i ).
thf(func_def_145,type,
sK34: $i > ( $i > $o ) > $i ).
thf(func_def_146,type,
sK35: $i > $o ).
thf(func_def_152,type,
sK41: $i > $i ).
thf(func_def_155,type,
sK44: $i > $o ).
thf(func_def_156,type,
sK45: $i > $o ).
thf(func_def_157,type,
sK46: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_158,type,
sK47: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_162,type,
sK51: $o ).
thf(func_def_163,type,
sK52: $i > $o ).
thf(func_def_173,type,
sK62: $o ).
thf(func_def_174,type,
sK63: $i > $o ).
thf(func_def_177,type,
sK66: $i > $o ).
thf(func_def_182,type,
sK71: $i > $i ).
thf(func_def_183,type,
sK72: $i > $i > $i ).
thf(func_def_190,type,
sK79: $i > $i > $i ).
thf(func_def_194,type,
sK83: $i > $i > $i ).
thf(func_def_197,type,
sK86: $i > $o ).
thf(func_def_199,type,
sK88: $i > $o ).
thf(func_def_202,type,
sK91: $i > ( $i > $o ) > $i ).
thf(func_def_205,type,
sK94: $i > $o ).
thf(func_def_208,type,
sK97: $i > $i > $i ).
thf(func_def_212,type,
sK101: $i > $o ).
thf(func_def_214,type,
sK103: ( $i > $o ) > $i > $i ).
thf(func_def_222,type,
sK111: $o ).
thf(func_def_224,type,
sK113: $o ).
thf(func_def_226,type,
sK115: $i > $i ).
thf(func_def_228,type,
sK117: $i > $o ).
thf(func_def_230,type,
sK119: ( $i > $o ) > $i > $i ).
thf(func_def_231,type,
sK120: $i > ( $i > $o ) > $i ).
thf(func_def_232,type,
sK121: $i > $o ).
thf(func_def_237,type,
sK126: $o > $i > $i > $i ).
thf(func_def_240,type,
sK129: $o ).
thf(func_def_242,type,
sK131: $i > $o ).
thf(func_def_244,type,
sK133: $o ).
thf(func_def_253,type,
sK142: ( $i > $i > $o ) > $i > $i ).
thf(func_def_254,type,
sK143: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_255,type,
sK144: ( $i > $i > $o ) > $i > $i ).
thf(func_def_257,type,
sK146: $i > $i > $o ).
thf(func_def_258,type,
sK147: $i > $i ).
thf(func_def_259,type,
sK148: $i > $i ).
thf(func_def_260,type,
sK149: $i > $o ).
thf(func_def_263,type,
sK152: $i > ( $i > $o ) > $i ).
thf(func_def_268,type,
sK157: $i > $o ).
thf(func_def_269,type,
sK158: $i > $o ).
thf(func_def_270,type,
sK159: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_271,type,
sK160: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_274,type,
sK163: $i > $o ).
thf(func_def_277,type,
sK166: $i > ( $i > $o ) > $i ).
thf(func_def_278,type,
sK167: $i > $o ).
thf(func_def_279,type,
sK168: $i > $o ).
thf(func_def_280,type,
sK169: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_281,type,
sK170: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_285,type,
sK174: $i > $i ).
thf(func_def_288,type,
sK177: $i > $i ).
thf(func_def_289,type,
sK178: $i > ( $i > $o ) > $i ).
thf(func_def_290,type,
sK179: $i > $o ).
thf(func_def_296,type,
sK185: $i > $o ).
thf(func_def_298,type,
sK187: ( $i > $o ) > $i ).
thf(func_def_299,type,
sK188: ( $i > $o ) > $i ).
thf(func_def_300,type,
sK189: $i > $o ).
thf(func_def_301,type,
sK190: $i > $i ).
thf(func_def_302,type,
sK191: ( $i > $o ) > $i ).
thf(func_def_305,type,
sK194: $i > $o ).
thf(func_def_309,type,
sK198: $i > $i ).
thf(func_def_310,type,
sK199: $i > $i ).
thf(func_def_311,type,
sK200: $i > $i ).
thf(func_def_312,type,
sK201: $i > $i ).
thf(func_def_313,type,
sK202: $i > $i ).
thf(func_def_314,type,
sK203: $i > $i > $i > $i ).
thf(func_def_315,type,
sK204: $i > $i ).
thf(func_def_316,type,
sK205: $i > $i ).
thf(func_def_317,type,
sK206: $i > $i ).
thf(func_def_318,type,
sK207: $i > $i ).
thf(func_def_319,type,
sK208: $i > $i > $i ).
thf(func_def_320,type,
sK209: $i > $i > $i > $i ).
thf(func_def_321,type,
sK210: $i > $i > $i > $i ).
thf(func_def_322,type,
sK211: $i > $i > $i > $i ).
thf(func_def_323,type,
sK212: $i > $i > $i ).
thf(func_def_324,type,
sK213: $i > $i > $i ).
thf(func_def_325,type,
sK214: $i > $i > $i ).
thf(func_def_326,type,
sK215: $i > $i > $i ).
thf(func_def_333,type,
sK222: $i > $i > $i ).
thf(func_def_340,type,
sK229: $i > $o ).
thf(func_def_344,type,
sK233: $i > $o ).
thf(func_def_346,type,
sK235: $i > $i > $i ).
thf(func_def_347,type,
sK236: $i > $i > $i ).
thf(f80,axiom,
( eqimpsubset1
= ( ! [X1: $i,X0: $i] :
( ( X0 = X1 )
=> ( subset @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eqimpsubset1) ).
thf(f86,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
=> ! [X0: $i,X1: $i] :
( ~ ( subset @ X0 @ X1 )
=> ( X0 != X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notequalI1) ).
thf(f87,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
=> ! [X0: $i,X1: $i] :
( ~ ( subset @ X0 @ X1 )
=> ( X0 != X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
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
=> ( 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
=> ! [X0: $i,X1: $i] :
( ~ ( subset @ X0 @ X1 )
=> ( X0 != X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f87]) ).
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 )
=> ( ( 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 )
=> ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
=> ( X0 != X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f116]) ).
thf(f175,plain,
( eqimpsubset1
= ( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ( subset @ X1 @ X0 ) ) ) ),
inference(rectify,[],[f80]) ).
thf(f176,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ( ( subset @ X1 @ X0 )
= $true ) )
<=> ( eqimpsubset1 = $true ) ),
inference(fool_elimination,[],[f175]) ).
thf(f256,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 )
=> ! [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
=> ( X0 != X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f117]) ).
thf(f314,plain,
( ! [X1: $i,X0: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( X0 != X1 ) )
<=> ( eqimpsubset1 = $true ) ),
inference(ennf_transformation,[],[f176]) ).
thf(f327,plain,
( ? [X0: $i,X1: $i] :
( ( X0 = X1 )
& ( ( subset @ X0 @ X1 )
!= $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,[],[f256]) ).
thf(f328,plain,
( ( notinemptyset = $true )
& ( eqinunit = $true )
& ( quantDeMorgan1 = $true )
& ( exuI3 = $true )
& ( uniqinunit = $true )
& ( descr__Cong = $true )
& ( setadjoinIR = $true )
& ( emptyE1 = $true )
& ( setadjoinAx = $true )
& ( dsetconstrEL = $true )
& ( foundationAx = $true )
& ( in__Cong = $true )
& ( quantDeMorgan2 = $true )
& ( setadjoinIL = $true )
& ( subsetE = $true )
& ( nonemptyImpWitness = $true )
& ( powersetE = $true )
& ( setunionE = $true )
& ( emptyI = $true )
& ( notdallE = $true )
& ( setunionAx = $true )
& ( upairsetIL = $true )
& ( singletonsswitch = $true )
& ( exuI1 = $true )
& ( omega0Ax = $true )
& ( setunion__Cong = $true )
& ( quantDeMorgan3 = $true )
& ( noeltsimpempty = $true )
& ( emptysetsubset = $true )
& ( wellorderingAx = $true )
& ( exuE3u = $true )
& ( replAx = $true )
& ( notdexE = $true )
& ( setextAx = $true )
& ( exuI2 = $true )
& ( emptysetE = $true )
& ( dsetconstrER = $true )
& ( powersetAx = $true )
& ( subPowSU = $true )
& ( exuE1 = $true )
& ( exu__Cong = $true )
& ( setunionI = $true )
& ( subsetI2 = $true )
& ( subsetI1 = $true )
& ( emptysetimpfalse = $true )
& ( exuE3e = $true )
& ( dsetconstrI = $true )
& ( emptyinunitempty = $true )
& ( prop2setE = $true )
& ( eqimpsubset1 = $true )
& ( inCongP = $true )
& ( eqimpsubset2 = $true )
& ( omega__Cong = $true )
& ( quantDeMorgan4 = $true )
& ( exuE2 = $true )
& ( subsetE2 = $true )
& ( setext = $true )
& ( emptyset__Cong = $true )
& ( prop2setI = $true )
& ( prop2set2propI = $true )
& ( notsubsetI = $true )
& ( setbeta = $true )
& ( vacuousDall = $true )
& ( setadjoinE = $true )
& ( upairsetIR = $true )
& ( powerset__Cong = $true )
& ( omegaIndAx = $true )
& ( powersetI = $true )
& ( descrp = $true )
& ( notinsingleton = $true )
& ( exuEu = $true )
& ( nonemptyI = $true )
& ( omegaSAx = $true )
& ( upairsetE = $true )
& ( setadjoin__Cong = $true )
& ( dsetconstr__Cong = $true )
& ( emptyinPowerset = $true )
& ( nonemptyE1 = $true )
& ( nonemptyI1 = $true )
& ( emptysetAx = $true )
& ( emptyInPowerset = $true )
& ( setoftrueEq = $true )
& ? [X0: $i,X1: $i] :
( ( X0 = X1 )
& ( ( subset @ X0 @ X1 )
!= $true ) )
& ( setadjoinOr = $true ) ),
inference(flattening,[],[f327]) ).
thf(f538,plain,
( ( notinemptyset = $true )
& ( eqinunit = $true )
& ( quantDeMorgan1 = $true )
& ( exuI3 = $true )
& ( uniqinunit = $true )
& ( descr__Cong = $true )
& ( setadjoinIR = $true )
& ( emptyE1 = $true )
& ( setadjoinAx = $true )
& ( dsetconstrEL = $true )
& ( foundationAx = $true )
& ( in__Cong = $true )
& ( quantDeMorgan2 = $true )
& ( setadjoinIL = $true )
& ( subsetE = $true )
& ( nonemptyImpWitness = $true )
& ( powersetE = $true )
& ( setunionE = $true )
& ( emptyI = $true )
& ( notdallE = $true )
& ( setunionAx = $true )
& ( upairsetIL = $true )
& ( singletonsswitch = $true )
& ( exuI1 = $true )
& ( omega0Ax = $true )
& ( setunion__Cong = $true )
& ( quantDeMorgan3 = $true )
& ( noeltsimpempty = $true )
& ( emptysetsubset = $true )
& ( wellorderingAx = $true )
& ( exuE3u = $true )
& ( replAx = $true )
& ( notdexE = $true )
& ( setextAx = $true )
& ( exuI2 = $true )
& ( emptysetE = $true )
& ( dsetconstrER = $true )
& ( powersetAx = $true )
& ( subPowSU = $true )
& ( exuE1 = $true )
& ( exu__Cong = $true )
& ( setunionI = $true )
& ( subsetI2 = $true )
& ( subsetI1 = $true )
& ( emptysetimpfalse = $true )
& ( exuE3e = $true )
& ( dsetconstrI = $true )
& ( emptyinunitempty = $true )
& ( prop2setE = $true )
& ( eqimpsubset1 = $true )
& ( inCongP = $true )
& ( eqimpsubset2 = $true )
& ( omega__Cong = $true )
& ( quantDeMorgan4 = $true )
& ( exuE2 = $true )
& ( subsetE2 = $true )
& ( setext = $true )
& ( emptyset__Cong = $true )
& ( prop2setI = $true )
& ( prop2set2propI = $true )
& ( notsubsetI = $true )
& ( setbeta = $true )
& ( vacuousDall = $true )
& ( setadjoinE = $true )
& ( upairsetIR = $true )
& ( powerset__Cong = $true )
& ( omegaIndAx = $true )
& ( powersetI = $true )
& ( descrp = $true )
& ( notinsingleton = $true )
& ( exuEu = $true )
& ( nonemptyI = $true )
& ( omegaSAx = $true )
& ( upairsetE = $true )
& ( setadjoin__Cong = $true )
& ( dsetconstr__Cong = $true )
& ( emptyinPowerset = $true )
& ( nonemptyE1 = $true )
& ( nonemptyI1 = $true )
& ( emptysetAx = $true )
& ( emptyInPowerset = $true )
& ( setoftrueEq = $true )
& ( sK156 = sK155 )
& ( ( subset @ sK155 @ sK156 )
!= $true )
& ( setadjoinOr = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK155,sK156]),skolemize(X0,sK155),skolemize(X1,sK156)],[f328]) ).
thf(f560,plain,
( ( ! [X1: $i,X0: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( X0 != X1 ) )
| ( eqimpsubset1 != $true ) )
& ( ( eqimpsubset1 = $true )
| ? [X1: $i,X0: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
& ( X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f314]) ).
thf(f561,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
| ( X0 != X1 ) )
| ( eqimpsubset1 != $true ) )
& ( ( eqimpsubset1 = $true )
| ? [X2: $i,X3: $i] :
( ( $true
!= ( subset @ X2 @ X3 ) )
& ( X2 = X3 ) ) ) ),
inference(rectify,[],[f560]) ).
thf(f562,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
| ( X0 != X1 ) )
| ( eqimpsubset1 != $true ) )
& ( ( eqimpsubset1 = $true )
| ( ( $true
!= ( subset @ sK181 @ sK182 ) )
& ( sK181 = sK182 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK181,sK182]),skolemize(X2,sK181),skolemize(X3,sK182)],[f561]) ).
thf(f843,plain,
( ( subset @ sK155 @ sK156 )
!= $true ),
inference(cnf_transformation,[],[f538]) ).
thf(f844,plain,
sK156 = sK155,
inference(cnf_transformation,[],[f538]) ).
thf(f877,plain,
eqimpsubset1 = $true,
inference(cnf_transformation,[],[f538]) ).
thf(f961,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
| ( X0 != X1 )
| ( eqimpsubset1 != $true ) ),
inference(cnf_transformation,[],[f562]) ).
thf(f1087,plain,
! [X1: $i] :
( ( ( subset @ X1 @ X1 )
= $true )
| ( eqimpsubset1 != $true ) ),
inference(equality_resolution,[],[f961]) ).
thf(f1259,definition,
( spl240_14
<=> ( eqimpsubset1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl240_14])],[avatar_definition]) ).
thf(f2394,definition,
( spl240_265
<=> ! [X3: $i] :
( ( subset @ X3 @ X3 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl240_265])],[avatar_definition]) ).
thf(f2395,plain,
( ! [X3: $i] :
( ( subset @ X3 @ X3 )
= $true )
| ~ spl240_265 ),
inference(avatar_component_clause,[],[f2394]) ).
thf(f2828,plain,
( ~ spl240_14
| spl240_265 ),
inference(avatar_split_clause,[],[f1087,f2394,f1259]) ).
thf(f2896,definition,
( spl240_369
<=> ( ( subset @ sK155 @ sK156 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl240_369])],[avatar_definition]) ).
thf(f2898,plain,
( ( ( subset @ sK155 @ sK156 )
!= $true )
| spl240_369 ),
inference(avatar_component_clause,[],[f2896]) ).
thf(f2899,plain,
~ spl240_369,
inference(avatar_split_clause,[],[f843,f2896]) ).
thf(f2962,plain,
spl240_14,
inference(avatar_split_clause,[],[f877,f1259]) ).
thf(f2997,definition,
( spl240_390
<=> ( sK156 = sK155 ) ),
introduced(definition,[new_symbols(definition,[spl240_390])],[avatar_definition]) ).
thf(f2999,plain,
( ( sK156 = sK155 )
| ~ spl240_390 ),
inference(avatar_component_clause,[],[f2997]) ).
thf(f3000,plain,
spl240_390,
inference(avatar_split_clause,[],[f844,f2997]) ).
thf(f3188,plain,
( ( ( subset @ sK155 @ sK155 )
!= $true )
| spl240_369
| ~ spl240_390 ),
inference(superposition,[],[f2898,f2999]) ).
thf(f3190,definition,
( spl240_426
<=> ( ( subset @ sK155 @ sK155 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl240_426])],[avatar_definition]) ).
thf(f3192,plain,
( ( ( subset @ sK155 @ sK155 )
!= $true )
| spl240_426 ),
inference(avatar_component_clause,[],[f3190]) ).
thf(f3193,plain,
( ~ spl240_426
| spl240_369
| ~ spl240_390 ),
inference(avatar_split_clause,[],[f3188,f2997,f2896,f3190]) ).
thf(f3252,plain,
( ( $true != $true )
| ~ spl240_265
| spl240_426 ),
inference(superposition,[],[f3192,f2395]) ).
thf(f3253,plain,
( $false
| ~ spl240_265
| spl240_426 ),
inference(trivial_inequality_removal,[],[f3252]) ).
thf(f3254,plain,
( ~ spl240_265
| spl240_426 ),
inference(avatar_contradiction_clause,[],[f3253]) ).
cnf(s336,plain,
( ~ spl240_14
| spl240_265 ),
inference(sat_conversion,[],[f2828]) ).
cnf(s357,plain,
~ spl240_369,
inference(sat_conversion,[],[f2899]) ).
cnf(s375,plain,
spl240_14,
inference(sat_conversion,[],[f2962]) ).
cnf(s384,plain,
spl240_390,
inference(sat_conversion,[],[f3000]) ).
cnf(s433,plain,
( spl240_369
| ~ spl240_390
| ~ spl240_426 ),
inference(sat_conversion,[],[f3193]) ).
cnf(s434,plain,
( ~ spl240_265
| spl240_426 ),
inference(sat_conversion,[],[f3254]) ).
cnf(s445,plain,
~ spl240_426,
inference(rat,[],[s433,s384,s357]) ).
cnf(s446,plain,
~ spl240_265,
inference(rat,[],[s434,s445]) ).
cnf(s447,plain,
$false,
inference(rat,[],[s336,s446,s375]) ).
thf(f3255,plain,
$false,
inference(avatar_sat_refutation,[],[s447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU567^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:52:56 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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 % (105826)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.34 % (105845)lrs+10_16_si=on:nwc=1.5:random_seed=2502865588:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.34 % (105851)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 % (105851)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 % (105845)Instruction limit reached!
% 0.21/0.34 % (105845)------------------------------
% 0.21/0.34 % (105845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (105845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (105845)CaDiCaL version: 2.1.3
% 0.21/0.34 % (105845)Termination reason: Instruction limit
% 0.21/0.34 % (105845)Termination phase: Property scanning
% 0.21/0.34 % (105845)Time elapsed: 0.005 s
% 0.21/0.34 % (105845)Peak memory usage: 10 MB
% 0.21/0.34 % (105845)Instructions burned: 22 (million)
% 0.21/0.34 % (105844)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3157395014:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.34 % (105846)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=587264341:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.34 % (105848)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=1722633079: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 % (105849)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1387836262:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.34 % (105850)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=194793024:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.34 % (105851)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=2876701347:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.34 % (105846)Instruction limit reached!
% 0.21/0.34 % (105846)------------------------------
% 0.21/0.34 % (105846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (105846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (105846)CaDiCaL version: 2.1.3
% 0.21/0.34 % (105846)Termination reason: Instruction limit
% 0.21/0.34 % (105846)Termination phase: shuffling
% 0.21/0.34 % (105846)Time elapsed: 0.002 s
% 0.21/0.34 % (105846)Peak memory usage: 10 MB
% 0.21/0.34 % (105846)Instructions burned: 4 (million)
% 0.21/0.34 % (105855)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=791946278:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.34 % (105855)Instruction limit reached!
% 0.21/0.34 % (105855)------------------------------
% 0.21/0.34 % (105855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (105855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (105855)CaDiCaL version: 2.1.3
% 0.21/0.34 % (105855)Termination reason: Instruction limit
% 0.21/0.34 % (105855)Termination phase: shuffling
% 0.21/0.34 % (105855)Time elapsed: 0.001 s
% 0.21/0.34 % (105855)Peak memory usage: 10 MB
% 0.21/0.34 % (105855)Instructions burned: 4 (million)
% 0.21/0.34 % (105849)Instruction limit reached!
% 0.21/0.34 % (105849)------------------------------
% 0.21/0.34 % (105849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (105849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (105849)CaDiCaL version: 2.1.3
% 0.21/0.34 % (105849)Termination reason: Instruction limit
% 0.21/0.34 % (105849)Termination phase: Property scanning
% 0.21/0.34 % (105849)Time elapsed: 0.013 s
% 0.21/0.34 % (105849)Peak memory usage: 11 MB
% 0.21/0.34 % (105849)Instructions burned: 25 (million)
% 0.21/0.34 % (105862)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=903026612:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.34 % (105864)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 % (105865)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3154671463:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/0.34 % (105862)Instruction limit reached!
% 0.21/0.34 % (105862)------------------------------
% 0.21/0.34 % (105862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (105862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (105862)CaDiCaL version: 2.1.3
% 0.21/0.34 % (105862)Termination reason: Instruction limit
% 0.21/0.34 % (105862)Termination phase: shuffling
% 0.21/0.34 % (105862)Time elapsed: 0.003 s
% 0.21/0.34 % (105862)Peak memory usage: 10 MB
% 0.21/0.34 % (105862)Instructions burned: 6 (million)
% 0.21/0.34 % (105865)Instruction limit reached!
% 0.21/0.34 % (105865)------------------------------
% 0.21/0.34 % (105865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (105865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (105865)CaDiCaL version: 2.1.3
% 0.21/0.34 % (105865)Termination reason: Instruction limit
% 0.21/0.34 % (105865)Termination phase: Property scanning
% 0.21/0.34 % (105865)Time elapsed: 0.003 s
% 0.21/0.34 % (105865)Peak memory usage: 10 MB
% 0.21/0.34 % (105865)Instructions burned: 13 (million)
% 0.21/0.34 % (105864)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3382825146: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 % (105864)Instruction limit reached!
% 0.21/0.34 % (105864)------------------------------
% 0.21/0.34 % (105864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (105864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (105864)CaDiCaL version: 2.1.3
% 0.21/0.34 % (105864)Termination reason: Instruction limit
% 0.21/0.34 % (105864)Termination phase: shuffling
% 0.21/0.34 % (105864)Time elapsed: 0.004 s
% 0.21/0.34 % (105864)Peak memory usage: 10 MB
% 0.21/0.34 % (105864)Instructions burned: 9 (million)
% 0.21/0.34 % (105850)Instruction limit reached!
% 0.21/0.34 % (105850)------------------------------
% 0.21/0.34 % (105850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (105850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (105850)CaDiCaL version: 2.1.3
% 0.21/0.34 % (105850)Termination reason: Instruction limit
% 0.21/0.34 % (105850)Termination phase: Saturation
% 0.21/0.34 % (105850)Time elapsed: 0.036 s
% 0.21/0.34 % (105850)Peak memory usage: 13 MB
% 0.21/0.34 % (105850)Instructions burned: 76 (million)
% 0.21/0.34 % (105870)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=2959556272:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.21/0.34 % (105868)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 % (105868)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.34 % (105844)Instruction limit reached!
% 0.21/0.34 % (105844)------------------------------
% 0.21/0.34 % (105844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (105844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (105844)CaDiCaL version: 2.1.3
% 0.21/0.34 % (105844)Termination reason: Instruction limit
% 0.21/0.34 % (105844)Termination phase: Saturation
% 0.21/0.34 % (105844)Time elapsed: 0.041 s
% 0.21/0.34 % (105844)Peak memory usage: 13 MB
% 0.21/0.34 % (105844)Instructions burned: 87 (million)
% 0.21/0.34 % (105868)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=771389977:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.21/0.34 % (105848) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-105826-105848"...
% 0.21/0.34 % (105848)...printing done.
% 0.21/0.34 % (105871)lrs+10_1_si=on:cs=on:random_seed=395646401:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.21/0.34 % (105848)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 % (105848)------------------------------
% 0.21/0.34 % (105848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (105848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (105848)CaDiCaL version: 2.1.3
% 0.21/0.34 % (105848)Termination reason: Refutation
% 0.21/0.34 % (105848)Time elapsed: 0.048 s
% 0.21/0.34 % (105848)Peak memory usage: 15 MB
% 0.21/0.34 % (105848)Instructions burned: 94 (million)
% 0.21/0.34 % (105826)Success in time 0.099 s
% 0.21/0.34 % Vampire exiting
%------------------------------------------------------------------------------