%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU566^1 : 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 : n026.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 0.65s 0.37s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 18 unt; 0 typ; 5 def)
% Number of atoms : 2076 ( 577 equ; 0 cnn)
% Maximal formula atoms : 85 ( 39 avg)
% Number of connectives : 1073 ( 73 ~; 53 |; 345 &; 168 @)
% ( 8 <=>; 426 =>; 0 <=; 0 <~>)
% Maximal formula depth : 92 ( 18 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 : 218 ( 215 usr; 102 con; 0-4 aty)
% Number of variables : 65 ( 0 sgn 50 !; 15 ?; 65 :)
% 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_100,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_101,type,
vAND: $o > $o > $o ).
thf(func_def_102,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_103,type,
vIMP: $o > $o > $o ).
thf(func_def_104,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_105,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_106,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_107,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_108,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_109,type,
vNOT: $o > $o ).
thf(func_def_110,type,
sP0: $i > $i > $o ).
thf(func_def_111,type,
sP1: $i > $o ).
thf(func_def_112,type,
sP2: $o ).
thf(func_def_114,type,
sK4: $i > $i ).
thf(func_def_120,type,
sK10: ( $i > $o ) > $i ).
thf(func_def_121,type,
sK11: $i > $o ).
thf(func_def_125,type,
sK15: $i > $o ).
thf(func_def_128,type,
sK18: $i > ( $i > $o ) > $i ).
thf(func_def_130,type,
sK20: $i > $o ).
thf(func_def_136,type,
sK26: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_137,type,
sK27: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_140,type,
sK30: $i > $o ).
thf(func_def_141,type,
sK31: $i > $o ).
thf(func_def_142,type,
sK32: $i > $i ).
thf(func_def_144,type,
sK34: $i > $o ).
thf(func_def_145,type,
sK35: $i > $i ).
thf(func_def_146,type,
sK36: ( $i > $o ) > $i ).
thf(func_def_149,type,
sK39: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_150,type,
sK40: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_151,type,
sK41: $i > $o ).
thf(func_def_152,type,
sK42: $i > $o ).
thf(func_def_155,type,
sK45: $i > $o ).
thf(func_def_161,type,
sK51: $i > $o ).
thf(func_def_165,type,
sK55: $i > $i > $i ).
thf(func_def_169,type,
sK59: $o ).
thf(func_def_171,type,
sK61: $i > ( $i > $o ) > $i ).
thf(func_def_172,type,
sK62: $i > $o ).
thf(func_def_175,type,
sK65: $i > ( $i > $o ) > $i ).
thf(func_def_176,type,
sK66: $i > $o ).
thf(func_def_179,type,
sK69: $i > $o ).
thf(func_def_180,type,
sK70: $i > $o ).
thf(func_def_181,type,
sK71: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_182,type,
sK72: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_190,type,
sK80: $i > $i > $i ).
thf(func_def_197,type,
sK87: $i > $o ).
thf(func_def_205,type,
sK95: ( $i > $o ) > $i > $i ).
thf(func_def_207,type,
sK97: $i > $o ).
thf(func_def_209,type,
sK99: $i > $i > $i ).
thf(func_def_213,type,
sK103: $i > $i ).
thf(func_def_215,type,
sK105: $i > $i ).
thf(func_def_216,type,
sK106: $i > $i ).
thf(func_def_217,type,
sK107: $i > $i ).
thf(func_def_218,type,
sK108: $i > $i ).
thf(func_def_219,type,
sK109: $i > $i ).
thf(func_def_220,type,
sK110: $i > $i > $i > $i ).
thf(func_def_221,type,
sK111: $i > $i ).
thf(func_def_222,type,
sK112: $i > $i ).
thf(func_def_223,type,
sK113: $i > $i ).
thf(func_def_224,type,
sK114: $i > $i ).
thf(func_def_225,type,
sK115: $i > $i > $i ).
thf(func_def_226,type,
sK116: $i > $i > $i ).
thf(func_def_227,type,
sK117: $i > $i > $i > $i ).
thf(func_def_228,type,
sK118: $i > $i > $i > $i ).
thf(func_def_229,type,
sK119: $i > $i > $i > $i ).
thf(func_def_230,type,
sK120: $i > $i > $i ).
thf(func_def_231,type,
sK121: $i > $i > $i ).
thf(func_def_232,type,
sK122: $i > $i > $i ).
thf(func_def_247,type,
sK137: $i > $o ).
thf(func_def_248,type,
sK138: $o > $i > $i > $i ).
thf(func_def_251,type,
sK141: $o ).
thf(func_def_252,type,
sK142: $o ).
thf(func_def_253,type,
sK143: $i > $i ).
thf(func_def_256,type,
sK146: $i > $i ).
thf(func_def_257,type,
sK147: $i > $i > $o ).
thf(func_def_259,type,
sK149: $i > $i ).
thf(func_def_260,type,
sK150: $i > $i ).
thf(func_def_261,type,
sK151: $i > ( $i > $i > $o ) > $i ).
thf(func_def_262,type,
sK152: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_263,type,
sK153: $i > ( $i > $i > $o ) > $i ).
thf(func_def_265,type,
sK155: $o ).
thf(func_def_268,type,
sK158: $i > $o ).
thf(func_def_272,type,
sK162: $i > $o ).
thf(func_def_276,type,
sK166: $i > $i ).
thf(func_def_280,type,
sK170: $i > $o ).
thf(func_def_283,type,
sK173: $i > ( $i > $o ) > $i ).
thf(func_def_285,type,
sK175: $i > $o ).
thf(func_def_287,type,
sK177: $i > ( $i > $o ) > $i ).
thf(func_def_288,type,
sK178: $i > $i > $i ).
thf(func_def_292,type,
sK182: $o ).
thf(func_def_297,type,
sK187: $i > $i > $i ).
thf(func_def_301,type,
sK191: $i > $i ).
thf(func_def_302,type,
sK192: $i > $o ).
thf(func_def_304,type,
sK194: ( $i > $o ) > $i ).
thf(func_def_305,type,
sK195: ( $i > $o ) > $i ).
thf(func_def_307,type,
sK197: $i > $o ).
thf(func_def_309,type,
sK199: ( $i > $o ) > $i > $i ).
thf(func_def_311,type,
sK201: $o ).
thf(func_def_314,type,
sK204: $i > $o ).
thf(func_def_318,type,
sK208: $i > $o ).
thf(func_def_319,type,
sK209: $i > $i ).
thf(func_def_320,type,
sK210: ( $i > $o ) > $i ).
thf(func_def_322,type,
sK212: $i > $o ).
thf(func_def_324,type,
sK214: $i > ( $i > $o ) > $i ).
thf(func_def_325,type,
sK215: $i > $o ).
thf(func_def_333,type,
sK223: $i > $i > $i ).
thf(func_def_334,type,
sK224: $i > $i > $i ).
thf(func_def_344,type,
sK234: $i > $i > $i ).
thf(func_def_345,type,
sK235: $i > $o ).
thf(f83,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X1 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) ) )
= subsetE ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetE) ).
thf(f85,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
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ~ ( in @ X2 @ X1 )
=> ~ ( subset @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notsubsetI) ).
thf(f86,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
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ~ ( in @ X2 @ X1 )
=> ~ ( subset @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
thf(f158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X1 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) ) )
= subsetE ),
inference(rectify,[],[f83]) ).
thf(f159,plain,
( ( subsetE = $true )
<=> ! [X2: $i,X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
=> ( ( ( in @ X2 @ X0 )
= $true )
=> ( ( in @ X2 @ X1 )
= $true ) ) ) ),
inference(fool_elimination,[],[f158]) ).
thf(f211,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
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ~ ( in @ X2 @ X1 )
=> ~ ( subset @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f86]) ).
thf(f212,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 )
=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ( ( ( in @ X2 @ X1 )
!= $true )
=> ( ( subset @ X0 @ X1 )
!= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f211]) ).
thf(f270,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 )
=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ( ( ( in @ X2 @ X1 )
!= $true )
=> ( ( subset @ X0 @ X1 )
!= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f212]) ).
thf(f295,plain,
( ? [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
& ( ( in @ X2 @ X1 )
!= $true )
& ( ( in @ X2 @ X0 )
= $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,[],[f270]) ).
thf(f296,plain,
( ( omegaIndAx = $true )
& ( notdexE = $true )
& ( emptyI = $true )
& ( dsetconstrEL = $true )
& ( exuE3u = $true )
& ( noeltsimpempty = $true )
& ( notinsingleton = $true )
& ( setoftrueEq = $true )
& ( emptyset__Cong = $true )
& ( dsetconstrER = $true )
& ( subsetI2 = $true )
& ( setadjoin__Cong = $true )
& ( powerset__Cong = $true )
& ( emptysetAx = $true )
& ( exuEu = $true )
& ( quantDeMorgan3 = $true )
& ( replAx = $true )
& ( quantDeMorgan4 = $true )
& ( setunionI = $true )
& ( emptyInPowerset = $true )
& ( prop2set2propI = $true )
& ( exuE2 = $true )
& ( setunion__Cong = $true )
& ( vacuousDall = $true )
& ( emptyinPowerset = $true )
& ( exuE3e = $true )
& ( exuI1 = $true )
& ( powersetAx = $true )
& ( setadjoinIR = $true )
& ( setextAx = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( nonemptyImpWitness = $true )
& ( emptysetE = $true )
& ( exuI2 = $true )
& ( subsetE = $true )
& ( emptysetimpfalse = $true )
& ( notdallE = $true )
& ( quantDeMorgan1 = $true )
& ( exu__Cong = $true )
& ( in__Cong = $true )
& ( nonemptyI1 = $true )
& ( subsetI1 = $true )
& ( eqinunit = $true )
& ( descr__Cong = $true )
& ( nonemptyI = $true )
& ( prop2setI = $true )
& ( eqimpsubset2 = $true )
& ( exuE1 = $true )
& ( setunionAx = $true )
& ( setext = $true )
& ( uniqinunit = $true )
& ( setbeta = $true )
& ( nonemptyE1 = $true )
& ( omega__Cong = $true )
& ( eqimpsubset1 = $true )
& ( inCongP = $true )
& ( prop2setE = $true )
& ( singletonsswitch = $true )
& ( setadjoinAx = $true )
& ( powersetE = $true )
& ( upairsetE = $true )
& ( dsetconstr__Cong = $true )
& ? [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
& ( ( subset @ X0 @ X1 )
= $true )
& ( ( in @ X2 @ X0 )
= $true ) )
& ( emptyinunitempty = $true )
& ( emptyE1 = $true )
& ( exuI3 = $true )
& ( omegaSAx = $true )
& ( dsetconstrI = $true )
& ( foundationAx = $true )
& ( quantDeMorgan2 = $true )
& ( setadjoinOr = $true )
& ( powersetI = $true )
& ( notinemptyset = $true )
& ( subsetE2 = $true )
& ( upairsetIL = $true )
& ( setadjoinE = $true )
& ( setunionE = $true )
& ( subPowSU = $true )
& ( setadjoinIL = $true )
& ( omega0Ax = $true )
& ( upairsetIR = $true )
& ( emptysetsubset = $true ) ),
inference(flattening,[],[f295]) ).
thf(f299,plain,
( ( subsetE = $true )
<=> ! [X2: $i,X1: $i,X0: $i] :
( ( ( in @ X2 @ X1 )
= $true )
| ( ( in @ X2 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f159]) ).
thf(f300,plain,
( ( subsetE = $true )
<=> ! [X1: $i,X0: $i,X2: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true )
| ( ( in @ X2 @ X0 )
!= $true ) ) ),
inference(flattening,[],[f299]) ).
thf(f444,plain,
( ( omegaIndAx = $true )
& ( notdexE = $true )
& ( emptyI = $true )
& ( dsetconstrEL = $true )
& ( exuE3u = $true )
& ( noeltsimpempty = $true )
& ( notinsingleton = $true )
& ( setoftrueEq = $true )
& ( emptyset__Cong = $true )
& ( dsetconstrER = $true )
& ( subsetI2 = $true )
& ( setadjoin__Cong = $true )
& ( powerset__Cong = $true )
& ( emptysetAx = $true )
& ( exuEu = $true )
& ( quantDeMorgan3 = $true )
& ( replAx = $true )
& ( quantDeMorgan4 = $true )
& ( setunionI = $true )
& ( emptyInPowerset = $true )
& ( prop2set2propI = $true )
& ( exuE2 = $true )
& ( setunion__Cong = $true )
& ( vacuousDall = $true )
& ( emptyinPowerset = $true )
& ( exuE3e = $true )
& ( exuI1 = $true )
& ( powersetAx = $true )
& ( setadjoinIR = $true )
& ( setextAx = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( nonemptyImpWitness = $true )
& ( emptysetE = $true )
& ( exuI2 = $true )
& ( subsetE = $true )
& ( emptysetimpfalse = $true )
& ( notdallE = $true )
& ( quantDeMorgan1 = $true )
& ( exu__Cong = $true )
& ( in__Cong = $true )
& ( nonemptyI1 = $true )
& ( subsetI1 = $true )
& ( eqinunit = $true )
& ( descr__Cong = $true )
& ( nonemptyI = $true )
& ( prop2setI = $true )
& ( eqimpsubset2 = $true )
& ( exuE1 = $true )
& ( setunionAx = $true )
& ( setext = $true )
& ( uniqinunit = $true )
& ( setbeta = $true )
& ( nonemptyE1 = $true )
& ( omega__Cong = $true )
& ( eqimpsubset1 = $true )
& ( inCongP = $true )
& ( prop2setE = $true )
& ( singletonsswitch = $true )
& ( setadjoinAx = $true )
& ( powersetE = $true )
& ( upairsetE = $true )
& ( dsetconstr__Cong = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
!= $true )
& ( ( subset @ X0 @ X2 )
= $true )
& ( ( in @ X1 @ X0 )
= $true ) )
& ( emptyinunitempty = $true )
& ( emptyE1 = $true )
& ( exuI3 = $true )
& ( omegaSAx = $true )
& ( dsetconstrI = $true )
& ( foundationAx = $true )
& ( quantDeMorgan2 = $true )
& ( setadjoinOr = $true )
& ( powersetI = $true )
& ( notinemptyset = $true )
& ( subsetE2 = $true )
& ( upairsetIL = $true )
& ( setadjoinE = $true )
& ( setunionE = $true )
& ( subPowSU = $true )
& ( setadjoinIL = $true )
& ( omega0Ax = $true )
& ( upairsetIR = $true )
& ( emptysetsubset = $true ) ),
inference(rectify,[],[f296]) ).
thf(f445,plain,
( ( omegaIndAx = $true )
& ( notdexE = $true )
& ( emptyI = $true )
& ( dsetconstrEL = $true )
& ( exuE3u = $true )
& ( noeltsimpempty = $true )
& ( notinsingleton = $true )
& ( setoftrueEq = $true )
& ( emptyset__Cong = $true )
& ( dsetconstrER = $true )
& ( subsetI2 = $true )
& ( setadjoin__Cong = $true )
& ( powerset__Cong = $true )
& ( emptysetAx = $true )
& ( exuEu = $true )
& ( quantDeMorgan3 = $true )
& ( replAx = $true )
& ( quantDeMorgan4 = $true )
& ( setunionI = $true )
& ( emptyInPowerset = $true )
& ( prop2set2propI = $true )
& ( exuE2 = $true )
& ( setunion__Cong = $true )
& ( vacuousDall = $true )
& ( emptyinPowerset = $true )
& ( exuE3e = $true )
& ( exuI1 = $true )
& ( powersetAx = $true )
& ( setadjoinIR = $true )
& ( setextAx = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( nonemptyImpWitness = $true )
& ( emptysetE = $true )
& ( exuI2 = $true )
& ( subsetE = $true )
& ( emptysetimpfalse = $true )
& ( notdallE = $true )
& ( quantDeMorgan1 = $true )
& ( exu__Cong = $true )
& ( in__Cong = $true )
& ( nonemptyI1 = $true )
& ( subsetI1 = $true )
& ( eqinunit = $true )
& ( descr__Cong = $true )
& ( nonemptyI = $true )
& ( prop2setI = $true )
& ( eqimpsubset2 = $true )
& ( exuE1 = $true )
& ( setunionAx = $true )
& ( setext = $true )
& ( uniqinunit = $true )
& ( setbeta = $true )
& ( nonemptyE1 = $true )
& ( omega__Cong = $true )
& ( eqimpsubset1 = $true )
& ( inCongP = $true )
& ( prop2setE = $true )
& ( singletonsswitch = $true )
& ( setadjoinAx = $true )
& ( powersetE = $true )
& ( upairsetE = $true )
& ( dsetconstr__Cong = $true )
& ( $true
!= ( in @ sK84 @ sK85 ) )
& ( $true
= ( subset @ sK83 @ sK85 ) )
& ( $true
= ( in @ sK84 @ sK83 ) )
& ( emptyinunitempty = $true )
& ( emptyE1 = $true )
& ( exuI3 = $true )
& ( omegaSAx = $true )
& ( dsetconstrI = $true )
& ( foundationAx = $true )
& ( quantDeMorgan2 = $true )
& ( setadjoinOr = $true )
& ( powersetI = $true )
& ( notinemptyset = $true )
& ( subsetE2 = $true )
& ( upairsetIL = $true )
& ( setadjoinE = $true )
& ( setunionE = $true )
& ( subPowSU = $true )
& ( setadjoinIL = $true )
& ( omega0Ax = $true )
& ( upairsetIR = $true )
& ( emptysetsubset = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83,sK84,sK85]),skolemize(X0,sK83),skolemize(X1,sK84),skolemize(X2,sK85)],[f444]) ).
thf(f455,plain,
( ( ( subsetE = $true )
| ? [X1: $i,X0: $i,X2: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
& ( ( in @ X2 @ X1 )
!= $true )
& ( ( in @ X2 @ X0 )
= $true ) ) )
& ( ! [X1: $i,X0: $i,X2: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true )
| ( ( in @ X2 @ X0 )
!= $true ) )
| ( subsetE != $true ) ) ),
inference(nnf_transformation,[],[f300]) ).
thf(f456,plain,
( ( ( subsetE = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
& ( ( in @ X2 @ X0 )
!= $true )
& ( ( in @ X2 @ X1 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( subset @ X4 @ X3 ) )
| ( $true
= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ X4 ) ) )
| ( subsetE != $true ) ) ),
inference(rectify,[],[f455]) ).
thf(f457,plain,
( ( ( subsetE = $true )
| ( ( $true
= ( subset @ sK93 @ sK92 ) )
& ( $true
!= ( in @ sK94 @ sK92 ) )
& ( $true
= ( in @ sK94 @ sK93 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( subset @ X4 @ X3 ) )
| ( $true
= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ X4 ) ) )
| ( subsetE != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92,sK93,sK94]),skolemize(X0,sK92),skolemize(X1,sK93),skolemize(X2,sK94)],[f456]) ).
thf(f743,plain,
( $true
= ( in @ sK84 @ sK83 ) ),
inference(cnf_transformation,[],[f445]) ).
thf(f744,plain,
( $true
= ( subset @ sK83 @ sK85 ) ),
inference(cnf_transformation,[],[f445]) ).
thf(f745,plain,
( $true
!= ( in @ sK84 @ sK85 ) ),
inference(cnf_transformation,[],[f445]) ).
thf(f773,plain,
subsetE = $true,
inference(cnf_transformation,[],[f445]) ).
thf(f819,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( subset @ X4 @ X3 ) )
| ( $true
!= ( in @ X5 @ X4 ) )
| ( subsetE != $true )
| ( $true
= ( in @ X5 @ X3 ) ) ),
inference(cnf_transformation,[],[f457]) ).
thf(f1533,definition,
( spl238_78
<=> ( subsetE = $true ) ),
introduced(definition,[new_symbols(definition,[spl238_78])],[avatar_definition]) ).
thf(f1670,definition,
( spl238_110
<=> ( $true
= ( in @ sK84 @ sK85 ) ) ),
introduced(definition,[new_symbols(definition,[spl238_110])],[avatar_definition]) ).
thf(f1672,plain,
( ( $true
!= ( in @ sK84 @ sK85 ) )
| spl238_110 ),
inference(avatar_component_clause,[],[f1670]) ).
thf(f1673,plain,
~ spl238_110,
inference(avatar_split_clause,[],[f745,f1670]) ).
thf(f2148,definition,
( spl238_214
<=> ( $true
= ( in @ sK84 @ sK83 ) ) ),
introduced(definition,[new_symbols(definition,[spl238_214])],[avatar_definition]) ).
thf(f2150,plain,
( ( $true
= ( in @ sK84 @ sK83 ) )
| ~ spl238_214 ),
inference(avatar_component_clause,[],[f2148]) ).
thf(f2151,plain,
spl238_214,
inference(avatar_split_clause,[],[f743,f2148]) ).
thf(f2443,definition,
( spl238_277
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( $true
!= ( subset @ X3 @ X4 ) )
| ( $true
!= ( in @ X5 @ X3 ) )
| ( $true
= ( in @ X5 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl238_277])],[avatar_definition]) ).
thf(f2444,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ X4 ) )
| ( $true
!= ( subset @ X3 @ X4 ) )
| ( $true
!= ( in @ X5 @ X3 ) ) )
| ~ spl238_277 ),
inference(avatar_component_clause,[],[f2443]) ).
thf(f2611,plain,
( spl238_277
| ~ spl238_78 ),
inference(avatar_split_clause,[],[f819,f1533,f2443]) ).
thf(f2922,definition,
( spl238_379
<=> ( $true
= ( subset @ sK83 @ sK85 ) ) ),
introduced(definition,[new_symbols(definition,[spl238_379])],[avatar_definition]) ).
thf(f2924,plain,
( ( $true
= ( subset @ sK83 @ sK85 ) )
| ~ spl238_379 ),
inference(avatar_component_clause,[],[f2922]) ).
thf(f2925,plain,
spl238_379,
inference(avatar_split_clause,[],[f744,f2922]) ).
thf(f3032,plain,
spl238_78,
inference(avatar_split_clause,[],[f773,f1533]) ).
thf(f3458,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( in @ sK84 @ X0 ) )
| ( ( subset @ X0 @ sK85 )
!= $true ) )
| spl238_110
| ~ spl238_277 ),
inference(superposition,[],[f1672,f2444]) ).
thf(f3466,plain,
( ! [X0: $i] :
( ( $true
!= ( in @ sK84 @ X0 ) )
| ( ( subset @ X0 @ sK85 )
!= $true ) )
| spl238_110
| ~ spl238_277 ),
inference(trivial_inequality_removal,[],[f3458]) ).
thf(f3509,plain,
( ( $true != $true )
| ( $true
!= ( subset @ sK83 @ sK85 ) )
| spl238_110
| ~ spl238_214
| ~ spl238_277 ),
inference(superposition,[],[f3466,f2150]) ).
thf(f3521,plain,
( ( $true
!= ( subset @ sK83 @ sK85 ) )
| spl238_110
| ~ spl238_214
| ~ spl238_277 ),
inference(trivial_inequality_removal,[],[f3509]) ).
thf(f3536,plain,
( $false
| spl238_110
| ~ spl238_214
| ~ spl238_277
| ~ spl238_379 ),
inference(forward_subsumption_resolution,[],[f3521,f2924]) ).
thf(f3537,plain,
( spl238_110
| ~ spl238_214
| ~ spl238_277
| ~ spl238_379 ),
inference(avatar_contradiction_clause,[],[f3536]) ).
cnf(s70,plain,
~ spl238_110,
inference(sat_conversion,[],[f1673]) ).
cnf(s168,plain,
spl238_214,
inference(sat_conversion,[],[f2151]) ).
cnf(s277,plain,
( ~ spl238_78
| spl238_277 ),
inference(sat_conversion,[],[f2611]) ).
cnf(s365,plain,
spl238_379,
inference(sat_conversion,[],[f2925]) ).
cnf(s398,plain,
spl238_78,
inference(sat_conversion,[],[f3032]) ).
cnf(s439,plain,
( spl238_110
| ~ spl238_214
| ~ spl238_277
| ~ spl238_379 ),
inference(sat_conversion,[],[f3537]) ).
cnf(s460,plain,
spl238_277,
inference(rat,[],[s277,s398]) ).
cnf(s499,plain,
spl238_110,
inference(rat,[],[s439,s365,s460,s168]) ).
cnf(s527,plain,
$false,
inference(rat,[],[s70,s499]) ).
thf(f3548,plain,
$false,
inference(avatar_sat_refutation,[],[s527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU566^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:53:12 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 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
% 0.65/0.37 % (627508)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.65/0.37 % (627526)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1279250129:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.65/0.37 % (627533)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.65/0.37 % (627533)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
% 0.65/0.37 % (627531)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3170754586:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.65/0.37 % (627527)lrs+10_16_si=on:nwc=1.5:random_seed=4102133385:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.65/0.37 % (627528)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=514090152:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.65/0.37 % (627529)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=3864053145: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)
% 0.65/0.37 % (627532)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=629728929:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.65/0.37 % (627533)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=2378309548:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.65/0.37 % (627528)Instruction limit reached!
% 0.65/0.37 % (627528)------------------------------
% 0.65/0.37 % (627528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627528)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627528)Termination reason: Instruction limit
% 0.65/0.37 % (627528)Termination phase: shuffling
% 0.65/0.37 % (627528)Time elapsed: 0.002 s
% 0.65/0.37 % (627528)Peak memory usage: 10 MB
% 0.65/0.37 % (627528)Instructions burned: 4 (million)
% 0.65/0.37 % (627527)Instruction limit reached!
% 0.65/0.37 % (627527)------------------------------
% 0.65/0.37 % (627527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627527)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627527)Termination reason: Instruction limit
% 0.65/0.37 % (627527)Termination phase: Property scanning
% 0.65/0.37 % (627527)Time elapsed: 0.009 s
% 0.65/0.37 % (627527)Peak memory usage: 10 MB
% 0.65/0.37 % (627527)Instructions burned: 20 (million)
% 0.65/0.37 % (627531)Instruction limit reached!
% 0.65/0.37 % (627531)------------------------------
% 0.65/0.37 % (627531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627531)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627531)Termination reason: Instruction limit
% 0.65/0.37 % (627531)Termination phase: Preprocessing 3
% 0.65/0.37 % (627531)Time elapsed: 0.012 s
% 0.65/0.37 % (627531)Peak memory usage: 11 MB
% 0.65/0.37 % (627531)Instructions burned: 24 (million)
% 0.65/0.37 % (627526)Instruction limit reached!
% 0.65/0.37 % (627526)------------------------------
% 0.65/0.37 % (627526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627526)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627526)Termination reason: Instruction limit
% 0.65/0.37 % (627526)Termination phase: Saturation
% 0.65/0.37 % (627526)Time elapsed: 0.024 s
% 0.65/0.37 % (627526)Peak memory usage: 13 MB
% 0.65/0.37 % (627526)Instructions burned: 90 (million)
% 0.65/0.37 % (627545)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1201398729:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.65/0.37 % (627553)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2822782454:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.65/0.37 % (627551)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.37 % (627545)Instruction limit reached!
% 0.65/0.37 % (627545)------------------------------
% 0.65/0.37 % (627545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627545)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627545)Termination reason: Instruction limit
% 0.65/0.37 % (627545)Termination phase: Property scanning
% 0.65/0.37 % (627545)Time elapsed: 0.005 s
% 0.65/0.37 % (627545)Peak memory usage: 10 MB
% 0.65/0.37 % (627545)Instructions burned: 11 (million)
% 0.65/0.37 % (627549)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2019500417:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.65/0.37 % (627553)Instruction limit reached!
% 0.65/0.37 % (627553)------------------------------
% 0.65/0.37 % (627553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627553)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627553)Termination reason: Instruction limit
% 0.65/0.37 % (627553)Termination phase: Property scanning
% 0.65/0.37 % (627553)Time elapsed: 0.003 s
% 0.65/0.37 % (627553)Peak memory usage: 10 MB
% 0.65/0.37 % (627553)Instructions burned: 14 (million)
% 0.65/0.37 % (627551)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1487913217:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.65/0.37 % (627549)Instruction limit reached!
% 0.65/0.37 % (627549)------------------------------
% 0.65/0.37 % (627549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627549)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627549)Termination reason: Instruction limit
% 0.65/0.37 % (627549)Termination phase: Property scanning
% 0.65/0.37 % (627549)Time elapsed: 0.005 s
% 0.65/0.37 % (627549)Peak memory usage: 10 MB
% 0.65/0.37 % (627549)Instructions burned: 11 (million)
% 0.65/0.37 % (627551)Instruction limit reached!
% 0.65/0.37 % (627551)------------------------------
% 0.65/0.37 % (627551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627551)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627551)Termination reason: Instruction limit
% 0.65/0.37 % (627551)Termination phase: shuffling
% 0.65/0.37 % (627551)Time elapsed: 0.003 s
% 0.65/0.37 % (627551)Peak memory usage: 10 MB
% 0.65/0.37 % (627551)Instructions burned: 7 (million)
% 0.65/0.37 % (627532)Instruction limit reached!
% 0.65/0.37 % (627532)------------------------------
% 0.65/0.37 % (627532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627532)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627532)Termination reason: Instruction limit
% 0.65/0.37 % (627532)Termination phase: Saturation
% 0.65/0.37 % (627532)Time elapsed: 0.040 s
% 0.65/0.37 % (627532)Peak memory usage: 13 MB
% 0.65/0.37 % (627532)Instructions burned: 83 (million)
% 0.65/0.37 % (627564)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=679289790:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.65/0.37 % (627563)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
% 0.65/0.37 % (627563)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.37 % (627563)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2456102628:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.65/0.37 % (627569)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.65/0.37 % (627568)lrs+10_1_si=on:cs=on:random_seed=2254883355:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.65/0.37 % (627569)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=4210495:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.65/0.37 % (627569)Instruction limit reached!
% 0.65/0.37 % (627569)------------------------------
% 0.65/0.37 % (627569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627569)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627569)Termination reason: Instruction limit
% 0.65/0.37 % (627569)Termination phase: shuffling
% 0.65/0.37 % (627569)Time elapsed: 0.002 s
% 0.65/0.37 % (627569)Peak memory usage: 10 MB
% 0.65/0.37 % (627569)Instructions burned: 5 (million)
% 0.65/0.37 % (627568)Instruction limit reached!
% 0.65/0.37 % (627568)------------------------------
% 0.65/0.37 % (627568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627568)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627568)Termination reason: Instruction limit
% 0.65/0.37 % (627568)Termination phase: shuffling
% 0.65/0.37 % (627568)Time elapsed: 0.004 s
% 0.65/0.37 % (627568)Peak memory usage: 10 MB
% 0.65/0.37 % (627568)Instructions burned: 9 (million)
% 0.65/0.37 % (627563)Instruction limit reached!
% 0.65/0.37 % (627563)------------------------------
% 0.65/0.37 % (627563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627563)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627563)Termination reason: Instruction limit
% 0.65/0.37 % (627563)Termination phase: Function definition elimination
% 0.65/0.37 % (627563)Time elapsed: 0.012 s
% 0.65/0.37 % (627563)Peak memory usage: 10 MB
% 0.65/0.37 % (627563)Instructions burned: 28 (million)
% 0.65/0.37 % (627529) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-627508-627529"...
% 0.65/0.37 % (627564)Instruction limit reached!
% 0.65/0.37 % (627564)------------------------------
% 0.65/0.37 % (627564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627564)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627564)Termination reason: Instruction limit
% 0.65/0.37 % (627564)Termination phase: Saturation
% 0.65/0.37 % (627564)Time elapsed: 0.020 s
% 0.65/0.37 % (627564)Peak memory usage: 13 MB
% 0.65/0.37 % (627564)Instructions burned: 88 (million)
% 0.65/0.37 % (627575)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=627622872:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.65/0.37 % (627529)...printing done.
% 0.65/0.37 % (627533)Instruction limit reached!
% 0.65/0.37 % (627533)------------------------------
% 0.65/0.37 % (627533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627533)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627533)Termination reason: Instruction limit
% 0.65/0.37 % (627533)Termination phase: Saturation
% 0.65/0.37 % (627533)Time elapsed: 0.066 s
% 0.65/0.37 % (627533)Peak memory usage: 13 MB
% 0.65/0.37 % (627533)Instructions burned: 158 (million)
% 0.65/0.37 % (627529)Refutation found. Thanks to Tanya!
% 0.65/0.37 % SZS status Theorem for theBenchmark
% 0.65/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.65/0.37 % (627529)------------------------------
% 0.65/0.37 % (627529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.37 % (627529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.37 % (627529)CaDiCaL version: 2.1.3
% 0.65/0.37 % (627529)Termination reason: Refutation
% 0.65/0.37 % (627529)Time elapsed: 0.064 s
% 0.65/0.37 % (627529)Peak memory usage: 15 MB
% 0.65/0.37 % (627529)Instructions burned: 119 (million)
% 0.65/0.37 % (627508)Success in time 0.109 s
% 0.65/0.37 % Vampire exiting
%------------------------------------------------------------------------------