%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU565^1 : 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 : n009.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 08:30:05 AM UTC 2026
% Result : Theorem 0.21s 0.35s
% Output : Refutation 0.21s
% 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 : 2055 ( 571 equ; 0 cnn)
% Maximal formula atoms : 84 ( 39 avg)
% Number of connectives : 1066 ( 75 ~; 53 |; 341 &; 168 @)
% ( 8 <=>; 421 =>; 0 <=; 0 <~>)
% Maximal formula depth : 91 ( 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 : 217 ( 214 usr; 101 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_99,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_101,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_102,type,
vAND: $o > $o > $o ).
thf(func_def_103,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_104,type,
vIMP: $o > $o > $o ).
thf(func_def_105,type,
db2:
!>[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,
vNOT: $o > $o ).
thf(func_def_109,type,
sP0: $i > $i > $o ).
thf(func_def_110,type,
sP1: $i > $o ).
thf(func_def_111,type,
sP2: $o ).
thf(func_def_115,type,
sK6: $i > $i > $i ).
thf(func_def_124,type,
sK15: $i > $i ).
thf(func_def_129,type,
sK20: $i > $i > $i ).
thf(func_def_130,type,
sK21: $i > $i > $i ).
thf(func_def_137,type,
sK28: $i > $i ).
thf(func_def_138,type,
sK29: $i > $i ).
thf(func_def_139,type,
sK30: $i > $i ).
thf(func_def_140,type,
sK31: $i > $i ).
thf(func_def_141,type,
sK32: $i > $i ).
thf(func_def_142,type,
sK33: $i > $i > $i > $i ).
thf(func_def_143,type,
sK34: $i > $i ).
thf(func_def_144,type,
sK35: $i > $i ).
thf(func_def_145,type,
sK36: $i > $i ).
thf(func_def_146,type,
sK37: $i > $i ).
thf(func_def_147,type,
sK38: $i > $i > $i ).
thf(func_def_148,type,
sK39: $i > $i > $i ).
thf(func_def_149,type,
sK40: $i > $i > $i > $i ).
thf(func_def_150,type,
sK41: $i > $i > $i > $i ).
thf(func_def_151,type,
sK42: $i > $i > $i > $i ).
thf(func_def_152,type,
sK43: $i > $i > $i ).
thf(func_def_153,type,
sK44: $i > $i > $i ).
thf(func_def_154,type,
sK45: $i > $i > $i ).
thf(func_def_162,type,
sK53: $i > $i > $i ).
thf(func_def_163,type,
sK54: $i > $o ).
thf(func_def_165,type,
sK56: $i > ( $i > $o ) > $i ).
thf(func_def_171,type,
sK62: ( $i > $o ) > $i ).
thf(func_def_172,type,
sK63: $i > $o ).
thf(func_def_176,type,
sK67: $o ).
thf(func_def_185,type,
sK76: $i > $o ).
thf(func_def_187,type,
sK78: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_188,type,
sK79: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_189,type,
sK80: $i > $o ).
thf(func_def_190,type,
sK81: $i > $o ).
thf(func_def_191,type,
sK82: $i > $o ).
thf(func_def_193,type,
sK84: $i > $o ).
thf(func_def_195,type,
sK86: ( $i > $o ) > $i > $i ).
thf(func_def_199,type,
sK90: $i > $i > $i ).
thf(func_def_201,type,
sK92: $i > ( $i > $o ) > $i ).
thf(func_def_202,type,
sK93: $i > $o ).
thf(func_def_205,type,
sK96: $o ).
thf(func_def_210,type,
sK101: $i > $i > $i ).
thf(func_def_211,type,
sK102: ( $i > $o ) > $i > $i ).
thf(func_def_213,type,
sK104: $i > $o ).
thf(func_def_218,type,
sK109: $i > $o ).
thf(func_def_220,type,
sK111: $i > $i ).
thf(func_def_224,type,
sK115: $i > $i > $i ).
thf(func_def_226,type,
sK117: $i > $i ).
thf(func_def_227,type,
sK118: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_228,type,
sK119: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_229,type,
sK120: $i > $o ).
thf(func_def_230,type,
sK121: $i > $o ).
thf(func_def_231,type,
sK122: $i > $o ).
thf(func_def_232,type,
sK123: $i > $i ).
thf(func_def_233,type,
sK124: ( $i > $o ) > $i ).
thf(func_def_238,type,
sK129: $i > $o ).
thf(func_def_239,type,
sK130: $i > $o ).
thf(func_def_240,type,
sK131: $i > $i ).
thf(func_def_241,type,
sK132: ( $i > $o ) > $i ).
thf(func_def_243,type,
sK134: $i > $i ).
thf(func_def_246,type,
sK137: $o ).
thf(func_def_249,type,
sK140: $o ).
thf(func_def_250,type,
sK141: $i > $o ).
thf(func_def_253,type,
sK144: $i > $o ).
thf(func_def_258,type,
sK149: $i > $o ).
thf(func_def_259,type,
sK150: $i > $o ).
thf(func_def_260,type,
sK151: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_261,type,
sK152: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_270,type,
sK161: $i > $o ).
thf(func_def_273,type,
sK164: $i > $i > $i ).
thf(func_def_274,type,
sK165: $i > ( $i > $o ) > $i ).
thf(func_def_275,type,
sK166: $i > $o ).
thf(func_def_278,type,
sK169: $i > $o ).
thf(func_def_287,type,
sK178: $o ).
thf(func_def_290,type,
sK181: $i > $o ).
thf(func_def_292,type,
sK183: $i > $o ).
thf(func_def_294,type,
sK185: ( $i > $o ) > $i > $i ).
thf(func_def_296,type,
sK187: $i > $o ).
thf(func_def_300,type,
sK191: $i > $o ).
thf(func_def_302,type,
sK193: $i > ( $i > $o ) > $i ).
thf(func_def_303,type,
sK194: $i > ( $i > $i > $o ) > $i ).
thf(func_def_304,type,
sK195: $i > ( $i > $i > $o ) > $i ).
thf(func_def_305,type,
sK196: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_306,type,
sK197: $i > $i > $o ).
thf(func_def_308,type,
sK199: $i > $i ).
thf(func_def_309,type,
sK200: $i > $i ).
thf(func_def_317,type,
sK208: ( $i > $o ) > $i ).
thf(func_def_318,type,
sK209: ( $i > $o ) > $i ).
thf(func_def_319,type,
sK210: $i > $o ).
thf(func_def_324,type,
sK215: $i > $i ).
thf(func_def_325,type,
sK216: $i > $i ).
thf(func_def_328,type,
sK219: $o ).
thf(func_def_329,type,
sK220: $o > $i > $i > $i ).
thf(func_def_330,type,
sK221: $i > $o ).
thf(func_def_333,type,
sK224: $i > ( $i > $o ) > $i ).
thf(func_def_338,type,
sK229: $i > $i ).
thf(f83,axiom,
! [X1: $i,X0: $i,X2: $i] :
( ( ( subset @ X0 @ X1 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) ) )
= subsetE ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetE) ).
thf(f84,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
=> ! [X2: $i,X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( ~ ( in @ X2 @ X1 )
=> ~ ( in @ X2 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetE2) ).
thf(f85,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
=> ! [X2: $i,X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( ~ ( in @ X2 @ X1 )
=> ~ ( in @ X2 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f84]) ).
thf(f98,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
=> ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X1 @ X2 )
=> ( ~ ( in @ X0 @ X2 )
=> ~ ( in @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f85]) ).
thf(f99,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 )
=> ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( subset @ X1 @ X2 ) )
=> ( ( $true
!= ( in @ X0 @ X2 ) )
=> ( $true
!= ( in @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f98]) ).
thf(f132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X0 )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) )
= subsetE ),
inference(rectify,[],[f83]) ).
thf(f133,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
=> ( ( ( in @ X2 @ X1 )
= $true )
=> ( ( in @ X2 @ X0 )
= $true ) ) )
<=> ( subsetE = $true ) ),
inference(fool_elimination,[],[f132]) ).
thf(f246,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ! [X0: $i,X2: $i,X1: $i] :
( ( $true
= ( subset @ X1 @ X2 ) )
=> ( ( $true
!= ( in @ X0 @ X2 ) )
=> ( $true
!= ( in @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f99]) ).
thf(f277,plain,
( ? [X0: $i,X2: $i,X1: $i] :
( ( $true
= ( in @ X0 @ X1 ) )
& ( $true
!= ( in @ X0 @ X2 ) )
& ( $true
= ( subset @ X1 @ X2 ) ) )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f246]) ).
thf(f278,plain,
( ( exuI1 = $true )
& ( emptysetsubset = $true )
& ( setadjoinIL = $true )
& ( subsetE = $true )
& ( omegaSAx = $true )
& ( quantDeMorgan2 = $true )
& ( notinsingleton = $true )
& ( descr__Cong = $true )
& ( dsetconstr__Cong = $true )
& ( powerset__Cong = $true )
& ( emptyE1 = $true )
& ( nonemptyE1 = $true )
& ? [X0: $i,X2: $i,X1: $i] :
( ( $true
!= ( in @ X0 @ X2 ) )
& ( $true
= ( subset @ X1 @ X2 ) )
& ( $true
= ( in @ X0 @ X1 ) ) )
& ( setbeta = $true )
& ( exuE3e = $true )
& ( nonemptyI = $true )
& ( vacuousDall = $true )
& ( powersetAx = $true )
& ( exuEu = $true )
& ( setunionAx = $true )
& ( setadjoinAx = $true )
& ( quantDeMorgan1 = $true )
& ( singletonsswitch = $true )
& ( nonemptyI1 = $true )
& ( dsetconstrEL = $true )
& ( setoftrueEq = $true )
& ( exuI2 = $true )
& ( emptysetAx = $true )
& ( dsetconstrI = $true )
& ( emptysetimpfalse = $true )
& ( quantDeMorgan4 = $true )
& ( exuE3u = $true )
& ( setadjoin__Cong = $true )
& ( prop2set2propI = $true )
& ( exuE1 = $true )
& ( setadjoinOr = $true )
& ( prop2setI = $true )
& ( eqimpsubset1 = $true )
& ( notdallE = $true )
& ( subsetI1 = $true )
& ( notinemptyset = $true )
& ( subsetI2 = $true )
& ( exu__Cong = $true )
& ( inCongP = $true )
& ( replAx = $true )
& ( omega__Cong = $true )
& ( exuI3 = $true )
& ( eqinunit = $true )
& ( wellorderingAx = $true )
& ( in__Cong = $true )
& ( setunionE = $true )
& ( emptyInPowerset = $true )
& ( setext = $true )
& ( notdexE = $true )
& ( emptyinunitempty = $true )
& ( quantDeMorgan3 = $true )
& ( omegaIndAx = $true )
& ( eqimpsubset2 = $true )
& ( prop2setE = $true )
& ( uniqinunit = $true )
& ( noeltsimpempty = $true )
& ( setadjoinE = $true )
& ( emptysetE = $true )
& ( setunion__Cong = $true )
& ( exuE2 = $true )
& ( setadjoinIR = $true )
& ( setextAx = $true )
& ( omega0Ax = $true )
& ( emptyinPowerset = $true )
& ( foundationAx = $true )
& ( subPowSU = $true )
& ( nonemptyImpWitness = $true )
& ( setunionI = $true )
& ( emptyset__Cong = $true )
& ( powersetE = $true )
& ( upairsetIL = $true )
& ( emptyI = $true )
& ( upairsetE = $true )
& ( upairsetIR = $true )
& ( dsetconstrER = $true )
& ( powersetI = $true )
& ( descrp = $true ) ),
inference(flattening,[],[f277]) ).
thf(f289,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( in @ X2 @ X1 )
!= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
<=> ( subsetE = $true ) ),
inference(ennf_transformation,[],[f133]) ).
thf(f290,plain,
( ! [X2: $i,X1: $i,X0: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( in @ X2 @ X1 )
!= $true ) )
<=> ( subsetE = $true ) ),
inference(flattening,[],[f289]) ).
thf(f407,plain,
( ( exuI1 = $true )
& ( emptysetsubset = $true )
& ( setadjoinIL = $true )
& ( subsetE = $true )
& ( omegaSAx = $true )
& ( quantDeMorgan2 = $true )
& ( notinsingleton = $true )
& ( descr__Cong = $true )
& ( dsetconstr__Cong = $true )
& ( powerset__Cong = $true )
& ( emptyE1 = $true )
& ( nonemptyE1 = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X0 @ X1 ) )
& ( $true
= ( subset @ X2 @ X1 ) )
& ( $true
= ( in @ X0 @ X2 ) ) )
& ( setbeta = $true )
& ( exuE3e = $true )
& ( nonemptyI = $true )
& ( vacuousDall = $true )
& ( powersetAx = $true )
& ( exuEu = $true )
& ( setunionAx = $true )
& ( setadjoinAx = $true )
& ( quantDeMorgan1 = $true )
& ( singletonsswitch = $true )
& ( nonemptyI1 = $true )
& ( dsetconstrEL = $true )
& ( setoftrueEq = $true )
& ( exuI2 = $true )
& ( emptysetAx = $true )
& ( dsetconstrI = $true )
& ( emptysetimpfalse = $true )
& ( quantDeMorgan4 = $true )
& ( exuE3u = $true )
& ( setadjoin__Cong = $true )
& ( prop2set2propI = $true )
& ( exuE1 = $true )
& ( setadjoinOr = $true )
& ( prop2setI = $true )
& ( eqimpsubset1 = $true )
& ( notdallE = $true )
& ( subsetI1 = $true )
& ( notinemptyset = $true )
& ( subsetI2 = $true )
& ( exu__Cong = $true )
& ( inCongP = $true )
& ( replAx = $true )
& ( omega__Cong = $true )
& ( exuI3 = $true )
& ( eqinunit = $true )
& ( wellorderingAx = $true )
& ( in__Cong = $true )
& ( setunionE = $true )
& ( emptyInPowerset = $true )
& ( setext = $true )
& ( notdexE = $true )
& ( emptyinunitempty = $true )
& ( quantDeMorgan3 = $true )
& ( omegaIndAx = $true )
& ( eqimpsubset2 = $true )
& ( prop2setE = $true )
& ( uniqinunit = $true )
& ( noeltsimpempty = $true )
& ( setadjoinE = $true )
& ( emptysetE = $true )
& ( setunion__Cong = $true )
& ( exuE2 = $true )
& ( setadjoinIR = $true )
& ( setextAx = $true )
& ( omega0Ax = $true )
& ( emptyinPowerset = $true )
& ( foundationAx = $true )
& ( subPowSU = $true )
& ( nonemptyImpWitness = $true )
& ( setunionI = $true )
& ( emptyset__Cong = $true )
& ( powersetE = $true )
& ( upairsetIL = $true )
& ( emptyI = $true )
& ( upairsetE = $true )
& ( upairsetIR = $true )
& ( dsetconstrER = $true )
& ( powersetI = $true )
& ( descrp = $true ) ),
inference(rectify,[],[f278]) ).
thf(f408,plain,
( ( exuI1 = $true )
& ( emptysetsubset = $true )
& ( setadjoinIL = $true )
& ( subsetE = $true )
& ( omegaSAx = $true )
& ( quantDeMorgan2 = $true )
& ( notinsingleton = $true )
& ( descr__Cong = $true )
& ( dsetconstr__Cong = $true )
& ( powerset__Cong = $true )
& ( emptyE1 = $true )
& ( nonemptyE1 = $true )
& ( $true
!= ( in @ sK59 @ sK60 ) )
& ( $true
= ( subset @ sK61 @ sK60 ) )
& ( $true
= ( in @ sK59 @ sK61 ) )
& ( setbeta = $true )
& ( exuE3e = $true )
& ( nonemptyI = $true )
& ( vacuousDall = $true )
& ( powersetAx = $true )
& ( exuEu = $true )
& ( setunionAx = $true )
& ( setadjoinAx = $true )
& ( quantDeMorgan1 = $true )
& ( singletonsswitch = $true )
& ( nonemptyI1 = $true )
& ( dsetconstrEL = $true )
& ( setoftrueEq = $true )
& ( exuI2 = $true )
& ( emptysetAx = $true )
& ( dsetconstrI = $true )
& ( emptysetimpfalse = $true )
& ( quantDeMorgan4 = $true )
& ( exuE3u = $true )
& ( setadjoin__Cong = $true )
& ( prop2set2propI = $true )
& ( exuE1 = $true )
& ( setadjoinOr = $true )
& ( prop2setI = $true )
& ( eqimpsubset1 = $true )
& ( notdallE = $true )
& ( subsetI1 = $true )
& ( notinemptyset = $true )
& ( subsetI2 = $true )
& ( exu__Cong = $true )
& ( inCongP = $true )
& ( replAx = $true )
& ( omega__Cong = $true )
& ( exuI3 = $true )
& ( eqinunit = $true )
& ( wellorderingAx = $true )
& ( in__Cong = $true )
& ( setunionE = $true )
& ( emptyInPowerset = $true )
& ( setext = $true )
& ( notdexE = $true )
& ( emptyinunitempty = $true )
& ( quantDeMorgan3 = $true )
& ( omegaIndAx = $true )
& ( eqimpsubset2 = $true )
& ( prop2setE = $true )
& ( uniqinunit = $true )
& ( noeltsimpempty = $true )
& ( setadjoinE = $true )
& ( emptysetE = $true )
& ( setunion__Cong = $true )
& ( exuE2 = $true )
& ( setadjoinIR = $true )
& ( setextAx = $true )
& ( omega0Ax = $true )
& ( emptyinPowerset = $true )
& ( foundationAx = $true )
& ( subPowSU = $true )
& ( nonemptyImpWitness = $true )
& ( setunionI = $true )
& ( emptyset__Cong = $true )
& ( powersetE = $true )
& ( upairsetIL = $true )
& ( emptyI = $true )
& ( upairsetE = $true )
& ( upairsetIR = $true )
& ( dsetconstrER = $true )
& ( powersetI = $true )
& ( descrp = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59,sK60,sK61]),skolemize(X0,sK59),skolemize(X1,sK60),skolemize(X2,sK61)],[f407]) ).
thf(f598,plain,
( ( ! [X2: $i,X1: $i,X0: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( in @ X2 @ X1 )
!= $true ) )
| ( subsetE != $true ) )
& ( ( subsetE = $true )
| ? [X2: $i,X1: $i,X0: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
& ( ( subset @ X1 @ X0 )
= $true )
& ( ( in @ X2 @ X1 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f290]) ).
thf(f599,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( subset @ X1 @ X2 ) )
| ( $true
!= ( in @ X0 @ X1 ) ) )
| ( subsetE != $true ) )
& ( ( subsetE = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ X5 )
!= $true )
& ( $true
= ( subset @ X4 @ X5 ) )
& ( $true
= ( in @ X3 @ X4 ) ) ) ) ),
inference(rectify,[],[f598]) ).
thf(f600,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( subset @ X1 @ X2 ) )
| ( $true
!= ( in @ X0 @ X1 ) ) )
| ( subsetE != $true ) )
& ( ( subsetE = $true )
| ( ( $true
!= ( in @ sK232 @ sK234 ) )
& ( $true
= ( subset @ sK233 @ sK234 ) )
& ( $true
= ( in @ sK232 @ sK233 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK232,sK233,sK234]),skolemize(X3,sK232),skolemize(X4,sK233),skolemize(X5,sK234)],[f599]) ).
thf(f770,plain,
( $true
= ( in @ sK59 @ sK61 ) ),
inference(cnf_transformation,[],[f408]) ).
thf(f771,plain,
( $true
= ( subset @ sK61 @ sK60 ) ),
inference(cnf_transformation,[],[f408]) ).
thf(f772,plain,
( $true
!= ( in @ sK59 @ sK60 ) ),
inference(cnf_transformation,[],[f408]) ).
thf(f781,plain,
subsetE = $true,
inference(cnf_transformation,[],[f408]) ).
thf(f1038,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( in @ X0 @ X1 ) )
| ( $true
!= ( subset @ X1 @ X2 ) )
| ( subsetE != $true ) ),
inference(cnf_transformation,[],[f600]) ).
thf(f1482,definition,
( spl235_69
<=> ( subsetE = $true ) ),
introduced(definition,[new_symbols(definition,[spl235_69])],[avatar_definition]) ).
thf(f1485,plain,
spl235_69,
inference(avatar_split_clause,[],[f781,f1482]) ).
thf(f1492,definition,
( spl235_71
<=> ( $true
= ( subset @ sK61 @ sK60 ) ) ),
introduced(definition,[new_symbols(definition,[spl235_71])],[avatar_definition]) ).
thf(f1494,plain,
( ( $true
= ( subset @ sK61 @ sK60 ) )
| ~ spl235_71 ),
inference(avatar_component_clause,[],[f1492]) ).
thf(f1495,plain,
spl235_71,
inference(avatar_split_clause,[],[f771,f1492]) ).
thf(f1590,definition,
( spl235_93
<=> ( $true
= ( in @ sK59 @ sK61 ) ) ),
introduced(definition,[new_symbols(definition,[spl235_93])],[avatar_definition]) ).
thf(f1592,plain,
( ( $true
= ( in @ sK59 @ sK61 ) )
| ~ spl235_93 ),
inference(avatar_component_clause,[],[f1590]) ).
thf(f1593,plain,
spl235_93,
inference(avatar_split_clause,[],[f770,f1590]) ).
thf(f2441,definition,
( spl235_280
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( subset @ X1 @ X2 ) )
| ( $true
!= ( in @ X0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl235_280])],[avatar_definition]) ).
thf(f2442,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( in @ X0 @ X1 ) )
| ( $true
!= ( subset @ X1 @ X2 ) ) )
| ~ spl235_280 ),
inference(avatar_component_clause,[],[f2441]) ).
thf(f2443,plain,
( spl235_280
| ~ spl235_69 ),
inference(avatar_split_clause,[],[f1038,f1482,f2441]) ).
thf(f2692,definition,
( spl235_334
<=> ( $true
= ( in @ sK59 @ sK60 ) ) ),
introduced(definition,[new_symbols(definition,[spl235_334])],[avatar_definition]) ).
thf(f2694,plain,
( ( $true
!= ( in @ sK59 @ sK60 ) )
| spl235_334 ),
inference(avatar_component_clause,[],[f2692]) ).
thf(f2695,plain,
~ spl235_334,
inference(avatar_split_clause,[],[f772,f2692]) ).
thf(f3346,plain,
( ! [X0: $i] :
( ( $true
!= ( subset @ X0 @ sK60 ) )
| ( $true
!= ( in @ sK59 @ X0 ) )
| ( $true != $true ) )
| ~ spl235_280
| spl235_334 ),
inference(superposition,[],[f2694,f2442]) ).
thf(f3353,plain,
( ! [X0: $i] :
( ( $true
!= ( subset @ X0 @ sK60 ) )
| ( $true
!= ( in @ sK59 @ X0 ) ) )
| ~ spl235_280
| spl235_334 ),
inference(trivial_inequality_removal,[],[f3346]) ).
thf(f3583,plain,
( ( $true != $true )
| ( $true
!= ( in @ sK59 @ sK61 ) )
| ~ spl235_71
| ~ spl235_280
| spl235_334 ),
inference(superposition,[],[f3353,f1494]) ).
thf(f3587,plain,
( ( $true
!= ( in @ sK59 @ sK61 ) )
| ~ spl235_71
| ~ spl235_280
| spl235_334 ),
inference(trivial_inequality_removal,[],[f3583]) ).
thf(f3589,plain,
( $false
| ~ spl235_71
| ~ spl235_93
| ~ spl235_280
| spl235_334 ),
inference(forward_subsumption_resolution,[],[f3587,f1592]) ).
thf(f3590,plain,
( ~ spl235_71
| ~ spl235_93
| ~ spl235_280
| spl235_334 ),
inference(avatar_contradiction_clause,[],[f3589]) ).
cnf(s51,plain,
spl235_69,
inference(sat_conversion,[],[f1485]) ).
cnf(s53,plain,
spl235_71,
inference(sat_conversion,[],[f1495]) ).
cnf(s71,plain,
spl235_93,
inference(sat_conversion,[],[f1593]) ).
cnf(s240,plain,
( ~ spl235_69
| spl235_280 ),
inference(sat_conversion,[],[f2443]) ).
cnf(s309,plain,
~ spl235_334,
inference(sat_conversion,[],[f2695]) ).
cnf(s428,plain,
( ~ spl235_71
| ~ spl235_93
| ~ spl235_280
| spl235_334 ),
inference(sat_conversion,[],[f3590]) ).
cnf(s511,plain,
~ spl235_280,
inference(rat,[],[s428,s309,s71,s53]) ).
cnf(s512,plain,
~ spl235_69,
inference(rat,[],[s240,s511]) ).
cnf(s516,plain,
$false,
inference(rat,[],[s51,s512]) ).
thf(f3591,plain,
$false,
inference(avatar_sat_refutation,[],[s516]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU565^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n009.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:50:45 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.24 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
% 0.21/0.35 % (4027444)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.35 % (4027450)lrs+10_16_si=on:nwc=1.5:random_seed=2847944745:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.35 % (4027455)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.35 % (4027455)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
% 0.21/0.35 % (4027450)Instruction limit reached!
% 0.21/0.35 % (4027450)------------------------------
% 0.21/0.35 % (4027450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027450)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027450)Termination reason: Instruction limit
% 0.21/0.35 % (4027450)Termination phase: Property scanning
% 0.21/0.35 % (4027450)Time elapsed: 0.005 s
% 0.21/0.35 % (4027450)Peak memory usage: 10 MB
% 0.21/0.35 % (4027450)Instructions burned: 23 (million)
% 0.21/0.35 % (4027451)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2883557103:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.35 % (4027449)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2348100418:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.35 % (4027452)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=2466915141: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)
% 0.21/0.35 % (4027453)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1488920528:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.35 % (4027455)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=749641334:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.35 % (4027454)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4253401735:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.35 % (4027451)Instruction limit reached!
% 0.21/0.35 % (4027451)------------------------------
% 0.21/0.35 % (4027451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027451)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027451)Termination reason: Instruction limit
% 0.21/0.35 % (4027451)Termination phase: shuffling
% 0.21/0.35 % (4027451)Time elapsed: 0.002 s
% 0.21/0.35 % (4027451)Peak memory usage: 10 MB
% 0.21/0.35 % (4027451)Instructions burned: 4 (million)
% 0.21/0.35 % (4027457)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=966383866:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.35 % (4027457)Instruction limit reached!
% 0.21/0.35 % (4027457)------------------------------
% 0.21/0.35 % (4027457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027457)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027457)Termination reason: Instruction limit
% 0.21/0.35 % (4027457)Termination phase: shuffling
% 0.21/0.35 % (4027457)Time elapsed: 0.001 s
% 0.21/0.35 % (4027457)Peak memory usage: 10 MB
% 0.21/0.35 % (4027457)Instructions burned: 7 (million)
% 0.21/0.35 % (4027453)Instruction limit reached!
% 0.21/0.35 % (4027453)------------------------------
% 0.21/0.35 % (4027453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027453)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027453)Termination reason: Instruction limit
% 0.21/0.35 % (4027453)Termination phase: Property scanning
% 0.21/0.35 % (4027453)Time elapsed: 0.013 s
% 0.21/0.35 % (4027453)Peak memory usage: 11 MB
% 0.21/0.35 % (4027453)Instructions burned: 26 (million)
% 0.21/0.35 % (4027466)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.35 % (4027466)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1263642072:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.35 % (4027464)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2940050608:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.35 % (4027466)Instruction limit reached!
% 0.21/0.35 % (4027466)------------------------------
% 0.21/0.35 % (4027466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027466)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027466)Termination reason: Instruction limit
% 0.21/0.35 % (4027466)Termination phase: Property scanning
% 0.21/0.35 % (4027466)Time elapsed: 0.002 s
% 0.21/0.35 % (4027466)Peak memory usage: 10 MB
% 0.21/0.35 % (4027466)Instructions burned: 10 (million)
% 0.21/0.35 % (4027464)Instruction limit reached!
% 0.21/0.35 % (4027464)------------------------------
% 0.21/0.35 % (4027464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027464)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027464)Termination reason: Instruction limit
% 0.21/0.35 % (4027464)Termination phase: shuffling
% 0.21/0.35 % (4027464)Time elapsed: 0.003 s
% 0.21/0.35 % (4027464)Peak memory usage: 10 MB
% 0.21/0.35 % (4027464)Instructions burned: 7 (million)
% 0.21/0.35 % (4027470)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
% 0.21/0.35 % (4027470)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.35 % (4027467)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=22832722:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/0.35 % (4027470)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=973740907:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.21/0.35 % (4027454)Instruction limit reached!
% 0.21/0.35 % (4027454)------------------------------
% 0.21/0.35 % (4027454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027454)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027454)Termination reason: Instruction limit
% 0.21/0.35 % (4027454)Termination phase: Saturation
% 0.21/0.35 % (4027454)Time elapsed: 0.035 s
% 0.21/0.35 % (4027454)Peak memory usage: 13 MB
% 0.21/0.35 % (4027454)Instructions burned: 76 (million)
% 0.21/0.35 % (4027467)Instruction limit reached!
% 0.21/0.35 % (4027467)------------------------------
% 0.21/0.35 % (4027467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027467)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027467)Termination reason: Instruction limit
% 0.21/0.35 % (4027467)Termination phase: Property scanning
% 0.21/0.35 % (4027467)Time elapsed: 0.005 s
% 0.21/0.35 % (4027467)Peak memory usage: 10 MB
% 0.21/0.35 % (4027467)Instructions burned: 12 (million)
% 0.21/0.35 % (4027470)Instruction limit reached!
% 0.21/0.35 % (4027470)------------------------------
% 0.21/0.35 % (4027470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027470)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027470)Termination reason: Instruction limit
% 0.21/0.35 % (4027470)Termination phase: Twee Goal Transformation
% 0.21/0.35 % (4027470)Time elapsed: 0.006 s
% 0.21/0.35 % (4027470)Peak memory usage: 10 MB
% 0.21/0.35 % (4027470)Instructions burned: 30 (million)
% 0.21/0.35 % (4027449)Instruction limit reached!
% 0.21/0.35 % (4027449)------------------------------
% 0.21/0.35 % (4027449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027449)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027449)Termination reason: Instruction limit
% 0.21/0.35 % (4027449)Termination phase: Saturation
% 0.21/0.35 % (4027449)Time elapsed: 0.041 s
% 0.21/0.35 % (4027449)Peak memory usage: 13 MB
% 0.21/0.35 % (4027449)Instructions burned: 88 (million)
% 0.21/0.35 % (4027471)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=893114093:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.21/0.35 % (4027476)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=854848729:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.21/0.35 % (4027475)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.21/0.35 % (4027474)lrs+10_1_si=on:cs=on:random_seed=2115284346:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.21/0.35 % (4027475)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=1615985901:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.35 % (4027474)Instruction limit reached!
% 0.21/0.35 % (4027474)------------------------------
% 0.21/0.35 % (4027474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027474)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027474)Termination reason: Instruction limit
% 0.21/0.35 % (4027474)Termination phase: shuffling
% 0.21/0.35 % (4027474)Time elapsed: 0.004 s
% 0.21/0.35 % (4027474)Peak memory usage: 10 MB
% 0.21/0.35 % (4027474)Instructions burned: 8 (million)
% 0.21/0.35 % (4027475)Instruction limit reached!
% 0.21/0.35 % (4027475)------------------------------
% 0.21/0.35 % (4027475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027475)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027475)Termination reason: Instruction limit
% 0.21/0.35 % (4027475)Termination phase: shuffling
% 0.21/0.35 % (4027475)Time elapsed: 0.004 s
% 0.21/0.35 % (4027477)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1835950338:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.21/0.35 % (4027475)Peak memory usage: 10 MB
% 0.21/0.35 % (4027475)Instructions burned: 8 (million)
% 0.21/0.35 % (4027476)Instruction limit reached!
% 0.21/0.35 % (4027476)------------------------------
% 0.21/0.35 % (4027476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027476)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027476)Termination reason: Instruction limit
% 0.21/0.35 % (4027476)Termination phase: Property scanning
% 0.21/0.35 % (4027476)Time elapsed: 0.010 s
% 0.21/0.35 % (4027476)Peak memory usage: 12 MB
% 0.21/0.35 % (4027476)Instructions burned: 39 (million)
% 0.21/0.35 % (4027455)Instruction limit reached!
% 0.21/0.35 % (4027455)------------------------------
% 0.21/0.35 % (4027455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027455)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027455)Termination reason: Instruction limit
% 0.21/0.35 % (4027455)Termination phase: Saturation
% 0.21/0.35 % (4027455)Time elapsed: 0.066 s
% 0.21/0.35 % (4027455)Peak memory usage: 14 MB
% 0.21/0.35 % (4027455)Instructions burned: 157 (million)
% 0.21/0.35 % (4027452) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4027444-4027452"...
% 0.21/0.35 % (4027484)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2480076124:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.21/0.35 % (4027452)...printing done.
% 0.21/0.35 % (4027452)Refutation found. Thanks to Tanya!
% 0.21/0.35 % SZS status Theorem for theBenchmark
% 0.21/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.35 % (4027452)------------------------------
% 0.21/0.35 % (4027452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (4027452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (4027452)CaDiCaL version: 2.1.3
% 0.21/0.35 % (4027452)Termination reason: Refutation
% 0.21/0.35 % (4027452)Time elapsed: 0.071 s
% 0.21/0.35 % (4027452)Peak memory usage: 15 MB
% 0.21/0.35 % (4027452)Instructions burned: 134 (million)
% 0.21/0.35 % (4027444)Success in time 0.1 s
% 0.21/0.35 % Vampire exiting
%------------------------------------------------------------------------------