%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU593^1 : 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 : n003.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 08:30:13 AM UTC 2026
% Result : Theorem 2.78s 0.73s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 102 ( 34 unt; 0 typ; 11 def)
% Number of atoms : 2590 ( 732 equ; 0 cnn)
% Maximal formula atoms : 111 ( 25 avg)
% Number of connectives : 1473 ( 122 ~; 103 |; 467 &; 304 @)
% ( 21 <=>; 456 =>; 0 <=; 0 <~>)
% Maximal formula depth : 116 ( 13 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 : 260 ( 257 usr; 140 con; 0-4 aty)
% Number of variables : 126 ( 0 sgn 102 !; 24 ?; 126 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_129,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_130,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_131,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_132,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_133,type,
vAND: $o > $o > $o ).
thf(func_def_134,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_135,type,
vIMP: $o > $o > $o ).
thf(func_def_136,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_137,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_138,type,
vNOT: $o > $o ).
thf(func_def_139,type,
sP0: $i > $i > $o ).
thf(func_def_140,type,
sP1: $i > $o ).
thf(func_def_141,type,
sK2: $i > $i > $i ).
thf(func_def_142,type,
sK3: $i > $i > $i ).
thf(func_def_145,type,
sK6: $i > $o ).
thf(func_def_147,type,
sK8: $i > ( $i > $o ) > $i ).
thf(func_def_153,type,
sK14: $i > $o ).
thf(func_def_162,type,
sK23: $i > $o ).
thf(func_def_169,type,
sK30: $o ).
thf(func_def_182,type,
sK43: $o ).
thf(func_def_190,type,
sK51: $i > $o ).
thf(func_def_196,type,
sK57: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_197,type,
sK58: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_198,type,
sK59: $i > $o ).
thf(func_def_199,type,
sK60: $i > $o ).
thf(func_def_202,type,
sK63: $i > $o ).
thf(func_def_205,type,
sK66: $i > ( $i > $o ) > $i ).
thf(func_def_220,type,
sK81: $i > $o ).
thf(func_def_221,type,
sK82: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_222,type,
sK83: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_223,type,
sK84: $i > $o ).
thf(func_def_224,type,
sK85: $i > $o ).
thf(func_def_226,type,
sK87: $i > $o ).
thf(func_def_228,type,
sK89: ( $i > $o ) > $i > $i ).
thf(func_def_230,type,
sK91: $i > $o ).
thf(func_def_232,type,
sK93: ( $i > $o ) > $i > $i ).
thf(func_def_236,type,
sK97: $i > $i > $o ).
thf(func_def_238,type,
sK99: $i > $i ).
thf(func_def_239,type,
sK100: $i > $i ).
thf(func_def_240,type,
sK101: $i > ( $i > $i > $o ) > $i ).
thf(func_def_241,type,
sK102: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_242,type,
sK103: $i > ( $i > $i > $o ) > $i ).
thf(func_def_245,type,
sK106: $i > $i > $i ).
thf(func_def_251,type,
sK112: $i > $o ).
thf(func_def_254,type,
sK115: $i > ( $i > $o ) > $i ).
thf(func_def_258,type,
sK119: $i > $i > $i ).
thf(func_def_263,type,
sK124: $o ).
thf(func_def_267,type,
sK128: $o ).
thf(func_def_268,type,
sK129: $o > $i > $i > $i ).
thf(func_def_271,type,
sK132: $o ).
thf(func_def_273,type,
sK134: $i > $o ).
thf(func_def_275,type,
sK136: ( $i > $o ) > $i > $i ).
thf(func_def_281,type,
sK142: $i > $o ).
thf(func_def_291,type,
sK152: $i > $i ).
thf(func_def_295,type,
sK156: $i > $o ).
thf(func_def_298,type,
sK159: $i > ( $i > $o ) > $i ).
thf(func_def_305,type,
sK166: $i > $i ).
thf(func_def_310,type,
sK171: $o ).
thf(func_def_315,type,
sK176: $i > $o ).
thf(func_def_317,type,
sK178: $o ).
thf(func_def_318,type,
sK179: ( $i > $o ) > $i ).
thf(func_def_319,type,
sK180: $i > $o ).
thf(func_def_320,type,
sK181: $i > $i ).
thf(func_def_321,type,
sK182: $i > $i ).
thf(func_def_324,type,
sK185: $i > $i ).
thf(func_def_325,type,
sK186: ( $i > $o ) > $i ).
thf(func_def_326,type,
sK187: ( $i > $o ) > $i ).
thf(func_def_327,type,
sK188: $i > $o ).
thf(func_def_335,type,
sK196: $i > $o ).
thf(func_def_345,type,
sK206: $i > $o ).
thf(func_def_347,type,
sK208: $i > $i ).
thf(func_def_357,type,
sK218: $i > $i ).
thf(func_def_358,type,
sK219: $i > $i ).
thf(func_def_359,type,
sK220: $i > $i ).
thf(func_def_360,type,
sK221: $i > $i ).
thf(func_def_361,type,
sK222: $i > $i > $i ).
thf(func_def_362,type,
sK223: $i > $i > $i ).
thf(func_def_363,type,
sK224: $i > $i > $i > $i ).
thf(func_def_364,type,
sK225: $i > $i > $i > $i ).
thf(func_def_365,type,
sK226: $i > $i > $i > $i ).
thf(func_def_366,type,
sK227: $i > $i > $i ).
thf(func_def_367,type,
sK228: $i > $i > $i ).
thf(func_def_368,type,
sK229: $i > $i > $i ).
thf(func_def_370,type,
sK231: $i > $i ).
thf(func_def_371,type,
sK232: $i > $i ).
thf(func_def_372,type,
sK233: $i > $i ).
thf(func_def_373,type,
sK234: $i > $i ).
thf(func_def_374,type,
sK235: $i > $i ).
thf(func_def_375,type,
sK236: $i > $i > $i > $i ).
thf(func_def_378,type,
sK239: $i > $i > $i ).
thf(func_def_382,type,
sK243: $i > $o ).
thf(func_def_384,type,
sK245: ( $i > $o ) > $i ).
thf(func_def_385,type,
sK246: $i > $o ).
thf(func_def_386,type,
sK247: $i > $i ).
thf(func_def_387,type,
sK248: $i > $o ).
thf(func_def_392,type,
sK253: $i > $i > $i ).
thf(func_def_395,type,
sK256: $i > $i > $i ).
thf(func_def_399,type,
sK260: $i > $i ).
thf(func_def_401,type,
sK262: $i > $i ).
thf(func_def_403,type,
sK264: $i > $o ).
thf(func_def_404,type,
sK265: ( $i > $o ) > $i ).
thf(func_def_405,type,
sK266: $i > $o ).
thf(func_def_414,type,
sK275: $i > $i > $i ).
thf(func_def_417,type,
sK278: $i > $o ).
thf(func_def_418,type,
sK279: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_419,type,
sK280: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_422,type,
sK283: $i > $o ).
thf(func_def_423,type,
sK284: $i > $o ).
thf(func_def_432,type,
sK293: $i > $o ).
thf(func_def_434,type,
sK295: $i > ( $i > $o ) > $i ).
thf(f86,axiom,
! [X1: $i,X0: $i] :
( ( ~ ( subset @ X0 @ X1 )
=> ( X0 != X1 ) )
= notequalI1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notequalI1) ).
thf(f93,axiom,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
=> ( ( subset @ X1 @ X0 )
=> ( X0 = X1 ) ) )
= setextsub ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextsub) ).
thf(f110,axiom,
! [X1: $i,X2: $i,X0: $i] :
( ( ( subset @ X2 @ X0 )
=> ( ( subset @ X2 @ X1 )
=> ( subset @ X2 @ ( binintersect @ X0 @ X1 ) ) ) )
= binintersectSubset5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectSubset5) ).
thf(f112,axiom,
! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X0 )
= binintersectLsub ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectLsub) ).
thf(f113,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ! [X1: $i,X0: $i] :
( ( subset @ X0 @ X1 )
=> ( ( binintersect @ X0 @ X1 )
= X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectSubset2) ).
thf(f114,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ! [X1: $i,X0: $i] :
( ( subset @ X0 @ X1 )
=> ( ( binintersect @ X0 @ X1 )
= X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f113]) ).
thf(f187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X2 )
=> ( ( subset @ X1 @ X0 )
=> ( subset @ X1 @ ( binintersect @ X2 @ X0 ) ) ) )
= binintersectSubset5 ),
inference(rectify,[],[f110]) ).
thf(f188,plain,
( ! [X0: $i,X2: $i,X1: $i] :
( ( ( subset @ X1 @ X2 )
= $true )
=> ( ( ( subset @ X1 @ X0 )
= $true )
=> ( ( subset @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true ) ) )
<=> ( binintersectSubset5 = $true ) ),
inference(fool_elimination,[],[f187]) ).
thf(f272,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
=> ( ( binintersect @ X1 @ X0 )
= X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f114]) ).
thf(f273,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
=> ( ( binintersect @ X1 @ X0 )
= X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f272]) ).
thf(f279,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X0 )
= binintersectLsub ),
inference(rectify,[],[f112]) ).
thf(f280,plain,
( ! [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X0 )
= $true )
<=> ( binintersectLsub = $true ) ),
inference(fool_elimination,[],[f279]) ).
thf(f319,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
=> ( ( subset @ X1 @ X0 )
=> ( X0 = X1 ) ) )
= setextsub ),
inference(rectify,[],[f93]) ).
thf(f320,plain,
( ( setextsub = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
=> ( ( ( subset @ X1 @ X0 )
= $true )
=> ( X0 = X1 ) ) ) ),
inference(fool_elimination,[],[f319]) ).
thf(f331,plain,
! [X0: $i,X1: $i] :
( ( ~ ( subset @ X1 @ X0 )
=> ( X0 != X1 ) )
= notequalI1 ),
inference(rectify,[],[f86]) ).
thf(f332,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
=> ( X0 != X1 ) )
<=> ( notequalI1 = $true ) ),
inference(fool_elimination,[],[f331]) ).
thf(f358,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
=> ( X0 != X1 ) )
<=> ( notequalI1 = $true ) ),
inference(flattening,[],[f332]) ).
thf(f364,plain,
( ? [X1: $i,X0: $i] :
( ( ( binintersect @ X1 @ X0 )
!= X1 )
& ( ( subset @ X1 @ X0 )
= $true ) )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f273]) ).
thf(f365,plain,
( ( prop2setE = $true )
& ( dsetconstr__Cong = $true )
& ( descrp = $true )
& ( notequalI1 = $true )
& ? [X1: $i,X0: $i] :
( ( ( binintersect @ X1 @ X0 )
!= X1 )
& ( ( subset @ X1 @ X0 )
= $true ) )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( binunionRsub = $true )
& ( upairsetE = $true )
& ( upairsetIR = $true )
& ( omegaSAx = $true )
& ( emptyI = $true )
& ( dsetconstrER = $true )
& ( subset2powerset = $true )
& ( dsetconstrI = $true )
& ( powerset__Cong = $true )
& ( notdallE = $true )
& ( setadjoinE = $true )
& ( wellorderingAx = $true )
& ( binunionLsub = $true )
& ( subsetE2 = $true )
& ( notequalI2 = $true )
& ( eqimpsubset1 = $true )
& ( omega0Ax = $true )
& ( powersetAx = $true )
& ( eqimpsubset2 = $true )
& ( setadjoin__Cong = $true )
& ( exuI3 = $true )
& ( subsetTrans = $true )
& ( emptyE1 = $true )
& ( emptyinunitempty = $true )
& ( vacuousDall = $true )
& ( inCongP = $true )
& ( powersetsubset = $true )
& ( subsetRefl = $true )
& ( quantDeMorgan2 = $true )
& ( powersetE = $true )
& ( quantDeMorgan1 = $true )
& ( setunion__Cong = $true )
& ( descr__Cong = $true )
& ( setadjoinOr = $true )
& ( exuE3u = $true )
& ( omegaIndAx = $true )
& ( emptysetE = $true )
& ( binunionIL = $true )
& ( exu__Cong = $true )
& ( notsubsetI = $true )
& ( quantDeMorgan3 = $true )
& ( prop2setI = $true )
& ( sepSubset = $true )
& ( setadjoinSub = $true )
& ( binunionIR = $true )
& ( quantDeMorgan4 = $true )
& ( singletonsswitch = $true )
& ( upairsetIL = $true )
& ( exuE1 = $true )
& ( foundationAx = $true )
& ( setadjoinSub2 = $true )
& ( inPowerset = $true )
& ( subPowSU = $true )
& ( replAx = $true )
& ( notinsingleton = $true )
& ( setoftrueEq = $true )
& ( setextAx = $true )
& ( emptysetimpfalse = $true )
& ( subsetE = $true )
& ( binunionE = $true )
& ( subsetemptysetimpeq = $true )
& ( binintersectEL = $true )
& ( exuI2 = $true )
& ( exuEu = $true )
& ( exuE2 = $true )
& ( setunionAx = $true )
& ( eqinunit = $true )
& ( subsetI2 = $true )
& ( emptysetsubset = $true )
& ( binunionEcases = $true )
& ( noeltsimpempty = $true )
& ( emptyinPowerset = $true )
& ( uniqinunit = $true )
& ( prop2set2propI = $true )
& ( exuE3e = $true )
& ( emptysetAx = $true )
& ( upairset2IR = $true )
& ( powersetE1 = $true )
& ( notinemptyset = $true )
& ( dsetconstrEL = $true )
& ( nonemptyImpWitness = $true )
& ( setextsub = $true )
& ( in__Cong = $true )
& ( emptyset__Cong = $true )
& ( emptyInPowerset = $true )
& ( binintersectLsub = $true )
& ( setunionI = $true )
& ( omega__Cong = $true )
& ( setext = $true )
& ( binintersectSubset5 = $true )
& ( subsetI1 = $true )
& ( setadjoinIR = $true )
& ( setbeta = $true )
& ( powersetI = $true )
& ( nonemptyI1 = $true )
& ( binintersectI = $true )
& ( setadjoinAx = $true )
& ( powersetI1 = $true )
& ( exuI1 = $true )
& ( setadjoinIL = $true )
& ( setunionE = $true )
& ( notdexE = $true )
& ( sepInPowerset = $true ) ),
inference(flattening,[],[f364]) ).
thf(f394,plain,
( ! [X0: $i,X2: $i,X1: $i] :
( ( ( subset @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X1 @ X2 )
!= $true ) )
<=> ( binintersectSubset5 = $true ) ),
inference(ennf_transformation,[],[f188]) ).
thf(f395,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X1 @ X2 )
!= $true )
| ( ( subset @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true ) )
<=> ( binintersectSubset5 = $true ) ),
inference(flattening,[],[f394]) ).
thf(f398,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( X0 != X1 ) )
<=> ( notequalI1 = $true ) ),
inference(ennf_transformation,[],[f358]) ).
thf(f441,plain,
( ( setextsub = $true )
<=> ! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f320]) ).
thf(f442,plain,
( ! [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( X0 = X1 )
| ( ( subset @ X1 @ X0 )
!= $true ) )
<=> ( setextsub = $true ) ),
inference(flattening,[],[f441]) ).
thf(f532,plain,
( ( prop2setE = $true )
& ( dsetconstr__Cong = $true )
& ( descrp = $true )
& ( notequalI1 = $true )
& ? [X0: $i,X1: $i] :
( ( ( binintersect @ X0 @ X1 )
!= X0 )
& ( ( subset @ X0 @ X1 )
= $true ) )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( binunionRsub = $true )
& ( upairsetE = $true )
& ( upairsetIR = $true )
& ( omegaSAx = $true )
& ( emptyI = $true )
& ( dsetconstrER = $true )
& ( subset2powerset = $true )
& ( dsetconstrI = $true )
& ( powerset__Cong = $true )
& ( notdallE = $true )
& ( setadjoinE = $true )
& ( wellorderingAx = $true )
& ( binunionLsub = $true )
& ( subsetE2 = $true )
& ( notequalI2 = $true )
& ( eqimpsubset1 = $true )
& ( omega0Ax = $true )
& ( powersetAx = $true )
& ( eqimpsubset2 = $true )
& ( setadjoin__Cong = $true )
& ( exuI3 = $true )
& ( subsetTrans = $true )
& ( emptyE1 = $true )
& ( emptyinunitempty = $true )
& ( vacuousDall = $true )
& ( inCongP = $true )
& ( powersetsubset = $true )
& ( subsetRefl = $true )
& ( quantDeMorgan2 = $true )
& ( powersetE = $true )
& ( quantDeMorgan1 = $true )
& ( setunion__Cong = $true )
& ( descr__Cong = $true )
& ( setadjoinOr = $true )
& ( exuE3u = $true )
& ( omegaIndAx = $true )
& ( emptysetE = $true )
& ( binunionIL = $true )
& ( exu__Cong = $true )
& ( notsubsetI = $true )
& ( quantDeMorgan3 = $true )
& ( prop2setI = $true )
& ( sepSubset = $true )
& ( setadjoinSub = $true )
& ( binunionIR = $true )
& ( quantDeMorgan4 = $true )
& ( singletonsswitch = $true )
& ( upairsetIL = $true )
& ( exuE1 = $true )
& ( foundationAx = $true )
& ( setadjoinSub2 = $true )
& ( inPowerset = $true )
& ( subPowSU = $true )
& ( replAx = $true )
& ( notinsingleton = $true )
& ( setoftrueEq = $true )
& ( setextAx = $true )
& ( emptysetimpfalse = $true )
& ( subsetE = $true )
& ( binunionE = $true )
& ( subsetemptysetimpeq = $true )
& ( binintersectEL = $true )
& ( exuI2 = $true )
& ( exuEu = $true )
& ( exuE2 = $true )
& ( setunionAx = $true )
& ( eqinunit = $true )
& ( subsetI2 = $true )
& ( emptysetsubset = $true )
& ( binunionEcases = $true )
& ( noeltsimpempty = $true )
& ( emptyinPowerset = $true )
& ( uniqinunit = $true )
& ( prop2set2propI = $true )
& ( exuE3e = $true )
& ( emptysetAx = $true )
& ( upairset2IR = $true )
& ( powersetE1 = $true )
& ( notinemptyset = $true )
& ( dsetconstrEL = $true )
& ( nonemptyImpWitness = $true )
& ( setextsub = $true )
& ( in__Cong = $true )
& ( emptyset__Cong = $true )
& ( emptyInPowerset = $true )
& ( binintersectLsub = $true )
& ( setunionI = $true )
& ( omega__Cong = $true )
& ( setext = $true )
& ( binintersectSubset5 = $true )
& ( subsetI1 = $true )
& ( setadjoinIR = $true )
& ( setbeta = $true )
& ( powersetI = $true )
& ( nonemptyI1 = $true )
& ( binintersectI = $true )
& ( setadjoinAx = $true )
& ( powersetI1 = $true )
& ( exuI1 = $true )
& ( setadjoinIL = $true )
& ( setunionE = $true )
& ( notdexE = $true )
& ( sepInPowerset = $true ) ),
inference(rectify,[],[f365]) ).
thf(f533,plain,
( ( prop2setE = $true )
& ( dsetconstr__Cong = $true )
& ( descrp = $true )
& ( notequalI1 = $true )
& ( sK49
!= ( binintersect @ sK49 @ sK50 ) )
& ( ( subset @ sK49 @ sK50 )
= $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( binunionRsub = $true )
& ( upairsetE = $true )
& ( upairsetIR = $true )
& ( omegaSAx = $true )
& ( emptyI = $true )
& ( dsetconstrER = $true )
& ( subset2powerset = $true )
& ( dsetconstrI = $true )
& ( powerset__Cong = $true )
& ( notdallE = $true )
& ( setadjoinE = $true )
& ( wellorderingAx = $true )
& ( binunionLsub = $true )
& ( subsetE2 = $true )
& ( notequalI2 = $true )
& ( eqimpsubset1 = $true )
& ( omega0Ax = $true )
& ( powersetAx = $true )
& ( eqimpsubset2 = $true )
& ( setadjoin__Cong = $true )
& ( exuI3 = $true )
& ( subsetTrans = $true )
& ( emptyE1 = $true )
& ( emptyinunitempty = $true )
& ( vacuousDall = $true )
& ( inCongP = $true )
& ( powersetsubset = $true )
& ( subsetRefl = $true )
& ( quantDeMorgan2 = $true )
& ( powersetE = $true )
& ( quantDeMorgan1 = $true )
& ( setunion__Cong = $true )
& ( descr__Cong = $true )
& ( setadjoinOr = $true )
& ( exuE3u = $true )
& ( omegaIndAx = $true )
& ( emptysetE = $true )
& ( binunionIL = $true )
& ( exu__Cong = $true )
& ( notsubsetI = $true )
& ( quantDeMorgan3 = $true )
& ( prop2setI = $true )
& ( sepSubset = $true )
& ( setadjoinSub = $true )
& ( binunionIR = $true )
& ( quantDeMorgan4 = $true )
& ( singletonsswitch = $true )
& ( upairsetIL = $true )
& ( exuE1 = $true )
& ( foundationAx = $true )
& ( setadjoinSub2 = $true )
& ( inPowerset = $true )
& ( subPowSU = $true )
& ( replAx = $true )
& ( notinsingleton = $true )
& ( setoftrueEq = $true )
& ( setextAx = $true )
& ( emptysetimpfalse = $true )
& ( subsetE = $true )
& ( binunionE = $true )
& ( subsetemptysetimpeq = $true )
& ( binintersectEL = $true )
& ( exuI2 = $true )
& ( exuEu = $true )
& ( exuE2 = $true )
& ( setunionAx = $true )
& ( eqinunit = $true )
& ( subsetI2 = $true )
& ( emptysetsubset = $true )
& ( binunionEcases = $true )
& ( noeltsimpempty = $true )
& ( emptyinPowerset = $true )
& ( uniqinunit = $true )
& ( prop2set2propI = $true )
& ( exuE3e = $true )
& ( emptysetAx = $true )
& ( upairset2IR = $true )
& ( powersetE1 = $true )
& ( notinemptyset = $true )
& ( dsetconstrEL = $true )
& ( nonemptyImpWitness = $true )
& ( setextsub = $true )
& ( in__Cong = $true )
& ( emptyset__Cong = $true )
& ( emptyInPowerset = $true )
& ( binintersectLsub = $true )
& ( setunionI = $true )
& ( omega__Cong = $true )
& ( setext = $true )
& ( binintersectSubset5 = $true )
& ( subsetI1 = $true )
& ( setadjoinIR = $true )
& ( setbeta = $true )
& ( powersetI = $true )
& ( nonemptyI1 = $true )
& ( binintersectI = $true )
& ( setadjoinAx = $true )
& ( powersetI1 = $true )
& ( exuI1 = $true )
& ( setadjoinIL = $true )
& ( setunionE = $true )
& ( notdexE = $true )
& ( sepInPowerset = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49,sK50]),skolemize(X0,sK49),skolemize(X1,sK50)],[f532]) ).
thf(f561,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( X0 != X1 ) )
| ( notequalI1 != $true ) )
& ( ( notequalI1 = $true )
| ? [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
& ( X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f398]) ).
thf(f562,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( X0 != X1 ) )
| ( notequalI1 != $true ) )
& ( ( notequalI1 = $true )
| ? [X2: $i,X3: $i] :
( ( $true
!= ( subset @ X3 @ X2 ) )
& ( X2 = X3 ) ) ) ),
inference(rectify,[],[f561]) ).
thf(f563,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( X0 != X1 ) )
| ( notequalI1 != $true ) )
& ( ( notequalI1 = $true )
| ( ( $true
!= ( subset @ sK76 @ sK75 ) )
& ( sK75 = sK76 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75,sK76]),skolemize(X2,sK75),skolemize(X3,sK76)],[f562]) ).
thf(f664,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X1 @ X2 )
!= $true )
| ( ( subset @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true ) )
| ( binintersectSubset5 != $true ) )
& ( ( binintersectSubset5 = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
& ( ( subset @ X1 @ X2 )
= $true )
& ( ( subset @ X1 @ ( binintersect @ X2 @ X0 ) )
!= $true ) ) ) ),
inference(nnf_transformation,[],[f395]) ).
thf(f665,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X1 @ X2 )
!= $true )
| ( ( subset @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true ) )
| ( binintersectSubset5 != $true ) )
& ( ( binintersectSubset5 = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( subset @ X4 @ X3 ) )
& ( ( subset @ X4 @ X5 )
= $true )
& ( ( subset @ X4 @ ( binintersect @ X5 @ X3 ) )
!= $true ) ) ) ),
inference(rectify,[],[f664]) ).
thf(f666,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X1 @ X2 )
!= $true )
| ( ( subset @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true ) )
| ( binintersectSubset5 != $true ) )
& ( ( binintersectSubset5 = $true )
| ( ( $true
= ( subset @ sK173 @ sK172 ) )
& ( $true
= ( subset @ sK173 @ sK174 ) )
& ( ( subset @ sK173 @ ( binintersect @ sK174 @ sK172 ) )
!= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK172,sK173,sK174]),skolemize(X3,sK172),skolemize(X4,sK173),skolemize(X5,sK174)],[f665]) ).
thf(f714,plain,
( ( ! [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( X0 = X1 )
| ( ( subset @ X1 @ X0 )
!= $true ) )
| ( setextsub != $true ) )
& ( ( setextsub = $true )
| ? [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
& ( X0 != X1 )
& ( ( subset @ X1 @ X0 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f442]) ).
thf(f715,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( X0 = X1 )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( setextsub != $true ) )
& ( ( setextsub = $true )
| ? [X2: $i,X3: $i] :
( ( $true
= ( subset @ X3 @ X2 ) )
& ( X2 != X3 )
& ( $true
= ( subset @ X2 @ X3 ) ) ) ) ),
inference(rectify,[],[f714]) ).
thf(f716,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( X0 = X1 )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( setextsub != $true ) )
& ( ( setextsub = $true )
| ( ( $true
= ( subset @ sK217 @ sK216 ) )
& ( sK216 != sK217 )
& ( ( subset @ sK216 @ sK217 )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK216,sK217]),skolemize(X2,sK216),skolemize(X3,sK217)],[f715]) ).
thf(f768,plain,
( ( ! [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X0 )
= $true )
| ( binintersectLsub != $true ) )
& ( ( binintersectLsub = $true )
| ? [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X0 )
!= $true ) ) ),
inference(nnf_transformation,[],[f280]) ).
thf(f769,plain,
( ( ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true )
| ( binintersectLsub != $true ) )
& ( ( binintersectLsub = $true )
| ? [X2: $i,X3: $i] :
( ( subset @ ( binintersect @ X3 @ X2 ) @ X3 )
!= $true ) ) ),
inference(rectify,[],[f768]) ).
thf(f770,plain,
( ( ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true )
| ( binintersectLsub != $true ) )
& ( ( binintersectLsub = $true )
| ( $true
!= ( subset @ ( binintersect @ sK271 @ sK270 ) @ sK271 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK270,sK271]),skolemize(X2,sK270),skolemize(X3,sK271)],[f769]) ).
thf(f887,plain,
binintersectSubset5 = $true,
inference(cnf_transformation,[],[f533]) ).
thf(f891,plain,
binintersectLsub = $true,
inference(cnf_transformation,[],[f533]) ).
thf(f895,plain,
setextsub = $true,
inference(cnf_transformation,[],[f533]) ).
thf(f979,plain,
( ( subset @ sK49 @ sK50 )
= $true ),
inference(cnf_transformation,[],[f533]) ).
thf(f980,plain,
( sK49
!= ( binintersect @ sK49 @ sK50 ) ),
inference(cnf_transformation,[],[f533]) ).
thf(f981,plain,
notequalI1 = $true,
inference(cnf_transformation,[],[f533]) ).
thf(f1019,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( X0 != X1 )
| ( notequalI1 != $true ) ),
inference(cnf_transformation,[],[f563]) ).
thf(f1164,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X1 @ X2 )
!= $true )
| ( binintersectSubset5 != $true )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[],[f666]) ).
thf(f1227,plain,
! [X0: $i,X1: $i] :
( ( setextsub != $true )
| ( X0 = X1 )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f716]) ).
thf(f1316,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true )
| ( binintersectLsub != $true ) ),
inference(cnf_transformation,[],[f770]) ).
thf(f1364,plain,
! [X1: $i] :
( ( ( subset @ X1 @ X1 )
= $true )
| ( notequalI1 != $true ) ),
inference(equality_resolution,[],[f1019]) ).
thf(f1552,definition,
( spl299_12
<=> ( binintersectSubset5 = $true ) ),
introduced(definition,[new_symbols(definition,[spl299_12])],[avatar_definition]) ).
thf(f1708,definition,
( spl299_48
<=> ( notequalI1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl299_48])],[avatar_definition]) ).
thf(f1945,definition,
( spl299_101
<=> ( setextsub = $true ) ),
introduced(definition,[new_symbols(definition,[spl299_101])],[avatar_definition]) ).
thf(f1948,plain,
spl299_101,
inference(avatar_split_clause,[],[f895,f1945]) ).
thf(f2061,definition,
( spl299_127
<=> ( binintersectLsub = $true ) ),
introduced(definition,[new_symbols(definition,[spl299_127])],[avatar_definition]) ).
thf(f2065,definition,
( spl299_128
<=> ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl299_128])],[avatar_definition]) ).
thf(f2066,plain,
( ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true )
| ~ spl299_128 ),
inference(avatar_component_clause,[],[f2065]) ).
thf(f2067,plain,
( ~ spl299_127
| spl299_128 ),
inference(avatar_split_clause,[],[f1316,f2065,f2061]) ).
thf(f2472,definition,
( spl299_220
<=> ( ( subset @ sK49 @ sK50 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl299_220])],[avatar_definition]) ).
thf(f2474,plain,
( ( ( subset @ sK49 @ sK50 )
= $true )
| ~ spl299_220 ),
inference(avatar_component_clause,[],[f2472]) ).
thf(f2475,plain,
spl299_220,
inference(avatar_split_clause,[],[f979,f2472]) ).
thf(f2700,plain,
spl299_12,
inference(avatar_split_clause,[],[f887,f1552]) ).
thf(f2959,plain,
spl299_127,
inference(avatar_split_clause,[],[f891,f2061]) ).
thf(f3075,definition,
( spl299_346
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X1 @ X2 )
!= $true )
| ( ( subset @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl299_346])],[avatar_definition]) ).
thf(f3076,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X1 @ X2 )
!= $true )
| ( ( subset @ X1 @ ( binintersect @ X2 @ X0 ) )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
| ~ spl299_346 ),
inference(avatar_component_clause,[],[f3075]) ).
thf(f3077,plain,
( spl299_346
| ~ spl299_12 ),
inference(avatar_split_clause,[],[f1164,f1552,f3075]) ).
thf(f3398,definition,
( spl299_412
<=> ! [X1: $i] :
( ( subset @ X1 @ X1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl299_412])],[avatar_definition]) ).
thf(f3399,plain,
( ! [X1: $i] :
( ( subset @ X1 @ X1 )
= $true )
| ~ spl299_412 ),
inference(avatar_component_clause,[],[f3398]) ).
thf(f3413,plain,
spl299_48,
inference(avatar_split_clause,[],[f981,f1708]) ).
thf(f3872,definition,
( spl299_510
<=> ( sK49
= ( binintersect @ sK49 @ sK50 ) ) ),
introduced(definition,[new_symbols(definition,[spl299_510])],[avatar_definition]) ).
thf(f3874,plain,
( ( sK49
!= ( binintersect @ sK49 @ sK50 ) )
| spl299_510 ),
inference(avatar_component_clause,[],[f3872]) ).
thf(f3875,plain,
~ spl299_510,
inference(avatar_split_clause,[],[f980,f3872]) ).
thf(f3890,definition,
( spl299_514
<=> ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl299_514])],[avatar_definition]) ).
thf(f3891,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( X0 = X1 ) )
| ~ spl299_514 ),
inference(avatar_component_clause,[],[f3890]) ).
thf(f3892,plain,
( spl299_514
| ~ spl299_101 ),
inference(avatar_split_clause,[],[f1227,f1945,f3890]) ).
thf(f3897,plain,
( spl299_412
| ~ spl299_48 ),
inference(avatar_split_clause,[],[f1364,f1708,f3398]) ).
thf(f4239,plain,
( ( $true
!= ( subset @ sK49 @ ( binintersect @ sK49 @ sK50 ) ) )
| ~ spl299_128
| spl299_510
| ~ spl299_514 ),
inference(unit_resulting_resolution,[],[f3891,f3874,f2066]) ).
thf(f4267,definition,
( spl299_549
<=> ( $true
= ( subset @ sK49 @ ( binintersect @ sK49 @ sK50 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl299_549])],[avatar_definition]) ).
thf(f4269,plain,
( ( $true
!= ( subset @ sK49 @ ( binintersect @ sK49 @ sK50 ) ) )
| spl299_549 ),
inference(avatar_component_clause,[],[f4267]) ).
thf(f4270,plain,
( ~ spl299_549
| ~ spl299_128
| spl299_510
| ~ spl299_514 ),
inference(avatar_split_clause,[],[f4239,f3890,f3872,f2065,f4267]) ).
thf(f6006,plain,
( ( ( subset @ sK49 @ sK49 )
!= $true )
| ~ spl299_220
| ~ spl299_346
| spl299_549 ),
inference(unit_resulting_resolution,[],[f3076,f2474,f4269]) ).
thf(f6058,plain,
( $false
| ~ spl299_220
| ~ spl299_346
| ~ spl299_412
| spl299_549 ),
inference(forward_subsumption_resolution,[],[f6006,f3399]) ).
thf(f6059,plain,
( ~ spl299_220
| ~ spl299_346
| ~ spl299_412
| spl299_549 ),
inference(avatar_contradiction_clause,[],[f6058]) ).
cnf(s67,plain,
spl299_101,
inference(sat_conversion,[],[f1948]) ).
cnf(s86,plain,
( ~ spl299_127
| spl299_128 ),
inference(sat_conversion,[],[f2067]) ).
cnf(s157,plain,
spl299_220,
inference(sat_conversion,[],[f2475]) ).
cnf(s208,plain,
spl299_12,
inference(sat_conversion,[],[f2700]) ).
cnf(s269,plain,
spl299_127,
inference(sat_conversion,[],[f2959]) ).
cnf(s300,plain,
( ~ spl299_12
| spl299_346 ),
inference(sat_conversion,[],[f3077]) ).
cnf(s389,plain,
spl299_48,
inference(sat_conversion,[],[f3413]) ).
cnf(s515,plain,
~ spl299_510,
inference(sat_conversion,[],[f3875]) ).
cnf(s519,plain,
( ~ spl299_101
| spl299_514 ),
inference(sat_conversion,[],[f3892]) ).
cnf(s521,plain,
( ~ spl299_48
| spl299_412 ),
inference(sat_conversion,[],[f3897]) ).
cnf(s573,plain,
( ~ spl299_128
| spl299_510
| ~ spl299_514
| ~ spl299_549 ),
inference(sat_conversion,[],[f4270]) ).
cnf(s838,plain,
( ~ spl299_220
| ~ spl299_346
| ~ spl299_412
| spl299_549 ),
inference(sat_conversion,[],[f6059]) ).
cnf(s850,plain,
spl299_412,
inference(rat,[],[s521,s389]) ).
cnf(s888,plain,
spl299_346,
inference(rat,[],[s300,s208]) ).
cnf(s907,plain,
spl299_549,
inference(rat,[],[s838,s888,s850,s157]) ).
cnf(s944,plain,
spl299_128,
inference(rat,[],[s86,s269]) ).
cnf(s945,plain,
~ spl299_514,
inference(rat,[],[s573,s907,s515,s944]) ).
cnf(s946,plain,
~ spl299_101,
inference(rat,[],[s519,s945]) ).
cnf(s968,plain,
$false,
inference(rat,[],[s67,s946]) ).
thf(f6065,plain,
$false,
inference(avatar_sat_refutation,[],[s968]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU593^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n003.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 13:55:29 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 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
% 0.75/0.37 % (2540844)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.75/0.37 % (2540855)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.75/0.37 % (2540855)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
% 0.75/0.37 % (2540855)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=3444331854:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.75/0.37 % (2540850)lrs+10_16_si=on:nwc=1.5:random_seed=549031375:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.75/0.37 % (2540849)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=587658788:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.75/0.37 % (2540851)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1262637087:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.75/0.37 % (2540852)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=3742545484: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)
% 0.75/0.37 % (2540853)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1802655316:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.75/0.37 % (2540854)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=435837451:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.75/0.37 % (2540851)Instruction limit reached!
% 0.75/0.37 % (2540851)------------------------------
% 0.75/0.37 % (2540851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (2540851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (2540851)CaDiCaL version: 2.1.3
% 0.75/0.37 % (2540851)Termination reason: Instruction limit
% 0.75/0.37 % (2540851)Termination phase: shuffling
% 0.75/0.37 % (2540851)Time elapsed: 0.002 s
% 0.75/0.37 % (2540851)Peak memory usage: 10 MB
% 0.75/0.37 % (2540851)Instructions burned: 4 (million)
% 0.75/0.37 % (2540850)Instruction limit reached!
% 0.75/0.37 % (2540850)------------------------------
% 0.75/0.37 % (2540850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (2540850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (2540850)CaDiCaL version: 2.1.3
% 0.75/0.37 % (2540850)Termination reason: Instruction limit
% 0.75/0.37 % (2540850)Termination phase: Property scanning
% 0.75/0.37 % (2540850)Time elapsed: 0.008 s
% 0.75/0.37 % (2540850)Peak memory usage: 10 MB
% 0.75/0.37 % (2540850)Instructions burned: 19 (million)
% 0.75/0.37 % (2540853)Instruction limit reached!
% 0.75/0.37 % (2540853)------------------------------
% 0.75/0.37 % (2540853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (2540853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (2540853)CaDiCaL version: 2.1.3
% 0.75/0.37 % (2540853)Termination reason: Instruction limit
% 0.75/0.37 % (2540853)Termination phase: Preprocessing 3
% 0.75/0.37 % (2540853)Time elapsed: 0.013 s
% 0.75/0.37 % (2540853)Peak memory usage: 11 MB
% 0.75/0.37 % (2540853)Instructions burned: 26 (million)
% 0.75/0.37 % (2540863)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3054246992:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.75/0.37 % (2540863)Instruction limit reached!
% 0.75/0.37 % (2540863)------------------------------
% 0.75/0.37 % (2540863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (2540863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (2540863)CaDiCaL version: 2.1.3
% 0.75/0.37 % (2540863)Termination reason: Instruction limit
% 0.75/0.37 % (2540863)Termination phase: shuffling
% 0.75/0.37 % (2540863)Time elapsed: 0.002 s
% 0.75/0.37 % (2540863)Peak memory usage: 10 MB
% 0.75/0.37 % (2540863)Instructions burned: 4 (million)
% 0.75/0.37 % (2540864)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=865414414:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.75/0.41 % (2540855)Instruction limit reached!
% 0.75/0.41 % (2540855)------------------------------
% 0.75/0.41 % (2540855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (2540855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (2540855)CaDiCaL version: 2.1.3
% 0.75/0.41 % (2540855)Termination reason: Instruction limit
% 0.75/0.41 % (2540855)Termination phase: Saturation
% 0.75/0.41 % (2540855)Time elapsed: 0.035 s
% 0.75/0.41 % (2540855)Peak memory usage: 13 MB
% 0.75/0.41 % (2540855)Instructions burned: 158 (million)
% 0.75/0.41 % (2540865)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.41 % (2540864)Instruction limit reached!
% 0.75/0.41 % (2540864)------------------------------
% 0.75/0.41 % (2540864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (2540864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (2540864)CaDiCaL version: 2.1.3
% 0.75/0.41 % (2540864)Termination reason: Instruction limit
% 0.75/0.41 % (2540864)Termination phase: shuffling
% 0.75/0.41 % (2540864)Time elapsed: 0.002 s
% 0.75/0.41 % (2540864)Peak memory usage: 10 MB
% 0.75/0.41 % (2540864)Instructions burned: 5 (million)
% 0.75/0.41 % (2540865)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=520154076:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.75/0.41 % (2540854)Instruction limit reached!
% 0.75/0.41 % (2540854)------------------------------
% 0.75/0.41 % (2540854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (2540854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (2540854)CaDiCaL version: 2.1.3
% 0.75/0.41 % (2540854)Termination reason: Instruction limit
% 0.75/0.41 % (2540854)Termination phase: Saturation
% 0.75/0.41 % (2540854)Time elapsed: 0.034 s
% 0.75/0.41 % (2540854)Peak memory usage: 13 MB
% 0.75/0.41 % (2540854)Instructions burned: 76 (million)
% 0.75/0.41 % (2540865)Instruction limit reached!
% 0.75/0.41 % (2540865)------------------------------
% 0.75/0.41 % (2540865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (2540865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (2540865)CaDiCaL version: 2.1.3
% 0.75/0.41 % (2540865)Termination reason: Instruction limit
% 0.75/0.41 % (2540865)Termination phase: shuffling
% 0.75/0.41 % (2540865)Time elapsed: 0.003 s
% 0.75/0.41 % (2540865)Peak memory usage: 10 MB
% 0.75/0.41 % (2540865)Instructions burned: 7 (million)
% 0.75/0.41 % (2540869)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
% 0.75/0.41 % (2540869)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.41 % (2540869)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1441620107:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.75/0.41 % (2540849)Instruction limit reached!
% 0.75/0.41 % (2540849)------------------------------
% 0.75/0.41 % (2540849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (2540849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (2540849)CaDiCaL version: 2.1.3
% 0.75/0.41 % (2540849)Termination reason: Instruction limit
% 0.75/0.41 % (2540849)Termination phase: Saturation
% 0.75/0.41 % (2540849)Time elapsed: 0.040 s
% 0.75/0.41 % (2540849)Peak memory usage: 13 MB
% 0.75/0.41 % (2540849)Instructions burned: 88 (million)
% 0.75/0.41 % (2540867)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1642096846:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.75/0.41 % (2540869)Instruction limit reached!
% 0.75/0.41 % (2540869)------------------------------
% 0.75/0.41 % (2540869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (2540869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (2540869)CaDiCaL version: 2.1.3
% 0.75/0.41 % (2540869)Termination reason: Instruction limit
% 0.75/0.44 % (2540869)Termination phase: Property scanning
% 0.75/0.44 % (2540869)Time elapsed: 0.007 s
% 0.75/0.44 % (2540869)Peak memory usage: 10 MB
% 0.75/0.44 % (2540869)Instructions burned: 31 (million)
% 0.75/0.44 % (2540870)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=2116660912:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.75/0.44 % (2540867)Instruction limit reached!
% 0.75/0.44 % (2540867)------------------------------
% 0.75/0.44 % (2540867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.44 % (2540867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.44 % (2540867)CaDiCaL version: 2.1.3
% 0.75/0.44 % (2540867)Termination reason: Instruction limit
% 0.75/0.44 % (2540867)Termination phase: Property scanning
% 0.75/0.44 % (2540867)Time elapsed: 0.006 s
% 0.75/0.44 % (2540867)Peak memory usage: 10 MB
% 0.75/0.44 % (2540867)Instructions burned: 12 (million)
% 0.75/0.44 % (2540873)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.75/0.44 % (2540872)lrs+10_1_si=on:cs=on:random_seed=3845666048:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.75/0.44 % (2540873)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=2241916876:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.75/0.44 % (2540877)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=597061289:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.75/0.44 % (2540873)Instruction limit reached!
% 0.75/0.44 % (2540873)------------------------------
% 0.75/0.44 % (2540873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.44 % (2540873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.44 % (2540873)CaDiCaL version: 2.1.3
% 0.75/0.44 % (2540873)Termination reason: Instruction limit
% 0.75/0.44 % (2540873)Termination phase: shuffling
% 0.75/0.44 % (2540873)Time elapsed: 0.003 s
% 0.75/0.44 % (2540873)Peak memory usage: 10 MB
% 0.75/0.44 % (2540873)Instructions burned: 7 (million)
% 0.75/0.44 % (2540872)Instruction limit reached!
% 0.75/0.44 % (2540872)------------------------------
% 0.75/0.44 % (2540872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.44 % (2540872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.44 % (2540872)CaDiCaL version: 2.1.3
% 0.75/0.44 % (2540872)Termination reason: Instruction limit
% 0.75/0.44 % (2540872)Termination phase: shuffling
% 0.75/0.44 % (2540872)Time elapsed: 0.004 s
% 0.75/0.44 % (2540872)Peak memory usage: 10 MB
% 0.75/0.44 % (2540872)Instructions burned: 8 (million)
% 0.75/0.44 % (2540875)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3031465276:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.75/0.44 % (2540879)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3557424771:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.75/0.44 % (2540883)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=356246006:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.75/0.44 % (2540885)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1678032693:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.75/0.44 % (2540875)Instruction limit reached!
% 0.75/0.44 % (2540875)------------------------------
% 0.75/0.44 % (2540875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.44 % (2540875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.44 % (2540875)CaDiCaL version: 2.1.3
% 0.75/0.44 % (2540875)Termination reason: Instruction limit
% 0.75/0.44 % (2540875)Termination phase: Property scanning
% 0.75/0.44 % (2540875)Time elapsed: 0.019 s
% 0.75/0.44 % (2540875)Peak memory usage: 11 MB
% 0.75/0.44 % (2540875)Instructions burned: 40 (million)
% 0.75/0.44 % (2540879)Instruction limit reached!
% 0.75/0.44 % (2540879)------------------------------
% 0.75/0.44 % (2540879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.44 % (2540879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (2540879)CaDiCaL version: 2.1.3
% 1.46/0.48 % (2540879)Termination reason: Instruction limit
% 1.46/0.48 % (2540879)Termination phase: Preprocessing 3
% 1.46/0.48 % (2540879)Time elapsed: 0.012 s
% 1.46/0.48 % (2540879)Peak memory usage: 11 MB
% 1.46/0.48 % (2540879)Instructions burned: 26 (million)
% 1.46/0.48 % (2540883)Instruction limit reached!
% 1.46/0.48 % (2540883)------------------------------
% 1.46/0.48 % (2540883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.48 % (2540883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (2540883)CaDiCaL version: 2.1.3
% 1.46/0.48 % (2540883)Termination reason: Instruction limit
% 1.46/0.48 % (2540883)Termination phase: Property scanning
% 1.46/0.48 % (2540883)Time elapsed: 0.007 s
% 1.46/0.48 % (2540883)Peak memory usage: 10 MB
% 1.46/0.48 % (2540883)Instructions burned: 16 (million)
% 1.46/0.48 % (2540870)Instruction limit reached!
% 1.46/0.48 % (2540870)------------------------------
% 1.46/0.48 % (2540870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.48 % (2540870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (2540870)CaDiCaL version: 2.1.3
% 1.46/0.48 % (2540870)Termination reason: Instruction limit
% 1.46/0.48 % (2540870)Termination phase: Saturation
% 1.46/0.48 % (2540870)Time elapsed: 0.038 s
% 1.46/0.48 % (2540870)Peak memory usage: 13 MB
% 1.46/0.48 % (2540870)Instructions burned: 87 (million)
% 1.46/0.48 % (2540889)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=857916457:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.48 % (2540890)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1027338103:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.46/0.48 % (2540890)Instruction limit reached!
% 1.46/0.48 % (2540890)------------------------------
% 1.46/0.48 % (2540890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.48 % (2540890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (2540890)CaDiCaL version: 2.1.3
% 1.46/0.48 % (2540890)Termination reason: Instruction limit
% 1.46/0.48 % (2540890)Termination phase: shuffling
% 1.46/0.48 % (2540890)Time elapsed: 0.002 s
% 1.46/0.48 % (2540890)Peak memory usage: 10 MB
% 1.46/0.48 % (2540890)Instructions burned: 4 (million)
% 1.46/0.48 % (2540891)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2902586773:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.46/0.48 % (2540889)Instruction limit reached!
% 1.46/0.48 % (2540889)------------------------------
% 1.46/0.48 % (2540889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.48 % (2540889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (2540889)CaDiCaL version: 2.1.3
% 1.46/0.48 % (2540889)Termination reason: Instruction limit
% 1.46/0.48 % (2540889)Termination phase: Property scanning
% 1.46/0.48 % (2540889)Time elapsed: 0.006 s
% 1.46/0.48 % (2540889)Peak memory usage: 10 MB
% 1.46/0.48 % (2540889)Instructions burned: 14 (million)
% 1.46/0.48 % (2540892)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3131267463:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.46/0.48 % (2540891)Instruction limit reached!
% 1.46/0.48 % (2540891)------------------------------
% 1.46/0.48 % (2540891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.48 % (2540891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (2540891)CaDiCaL version: 2.1.3
% 1.46/0.48 % (2540891)Termination reason: Instruction limit
% 1.46/0.48 % (2540891)Termination phase: Property scanning
% 1.46/0.48 % (2540891)Time elapsed: 0.012 s
% 1.46/0.48 % (2540891)Peak memory usage: 10 MB
% 1.46/0.48 % (2540891)Instructions burned: 29 (million)
% 1.46/0.48 % (2540892)Instruction limit reached!
% 1.46/0.48 % (2540892)------------------------------
% 1.46/0.48 % (2540892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.48 % (2540892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.48 % (2540892)CaDiCaL version: 2.1.3
% 1.46/0.48 % (2540892)Termination reason: Instruction limit
% 1.46/0.48 % (2540892)Termination phase: Property scanning
% 1.46/0.48 % (2540892)Time elapsed: 0.010 s
% 1.46/0.48 % (2540892)Peak memory usage: 11 MB
% 1.46/0.56 % (2540892)Instructions burned: 25 (million)
% 1.46/0.56 % (2540895)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1506537850:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.46/0.56 % (2540898)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 1.46/0.56 % (2540898)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.46/0.56 % (2540877)Instruction limit reached!
% 1.46/0.56 % (2540877)------------------------------
% 1.46/0.56 % (2540877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (2540877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (2540877)CaDiCaL version: 2.1.3
% 1.46/0.56 % (2540877)Termination reason: Instruction limit
% 1.46/0.56 % (2540877)Termination phase: Saturation
% 1.46/0.56 % (2540877)Time elapsed: 0.066 s
% 1.46/0.56 % (2540877)Peak memory usage: 14 MB
% 1.46/0.56 % (2540877)Instructions burned: 249 (million)
% 1.46/0.56 % (2540898)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1570466743:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.56 % (2540898)Instruction limit reached!
% 1.46/0.56 % (2540898)------------------------------
% 1.46/0.56 % (2540898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (2540898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (2540898)CaDiCaL version: 2.1.3
% 1.46/0.56 % (2540898)Termination reason: Instruction limit
% 1.46/0.56 % (2540898)Termination phase: Property scanning
% 1.46/0.56 % (2540898)Time elapsed: 0.006 s
% 1.46/0.56 % (2540898)Peak memory usage: 10 MB
% 1.46/0.56 % (2540898)Instructions burned: 15 (million)
% 1.46/0.56 % (2540899)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.46/0.56 % (2540903)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2339721662:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.46/0.56 % (2540899)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2594444597:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.46/0.56 % (2540900)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=970074613:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.46/0.56 % (2540903)Instruction limit reached!
% 1.46/0.56 % (2540903)------------------------------
% 1.46/0.56 % (2540903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (2540903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (2540903)CaDiCaL version: 2.1.3
% 1.46/0.56 % (2540903)Termination reason: Instruction limit
% 1.46/0.56 % (2540903)Termination phase: shuffling
% 1.46/0.56 % (2540903)Time elapsed: 0.002 s
% 1.46/0.56 % (2540903)Peak memory usage: 10 MB
% 1.46/0.56 % (2540903)Instructions burned: 8 (million)
% 1.46/0.56 % (2540899)Instruction limit reached!
% 1.46/0.56 % (2540899)------------------------------
% 1.46/0.56 % (2540899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (2540899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (2540899)CaDiCaL version: 2.1.3
% 1.46/0.56 % (2540899)Termination reason: Instruction limit
% 1.46/0.56 % (2540899)Termination phase: shuffling
% 1.46/0.56 % (2540899)Time elapsed: 0.004 s
% 1.46/0.56 % (2540899)Peak memory usage: 10 MB
% 1.46/0.56 % (2540899)Instructions burned: 9 (million)
% 1.46/0.56 % (2540908)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2145131625:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.46/0.56 % (2540895)Instruction limit reached!
% 1.46/0.56 % (2540895)------------------------------
% 1.46/0.56 % (2540895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (2540895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.62 % (2540895)CaDiCaL version: 2.1.3
% 2.20/0.62 % (2540895)Termination reason: Instruction limit
% 2.20/0.62 % (2540895)Termination phase: Saturation
% 2.20/0.62 % (2540895)Time elapsed: 0.028 s
% 2.20/0.62 % (2540895)Peak memory usage: 12 MB
% 2.20/0.62 % (2540895)Instructions burned: 61 (million)
% 2.20/0.62 % (2540904)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=43478287:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.20/0.62 % (2540900)Instruction limit reached!
% 2.20/0.62 % (2540900)------------------------------
% 2.20/0.62 % (2540900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.62 % (2540900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.62 % (2540900)CaDiCaL version: 2.1.3
% 2.20/0.62 % (2540900)Termination reason: Instruction limit
% 2.20/0.62 % (2540900)Termination phase: Property scanning
% 2.20/0.62 % (2540900)Time elapsed: 0.015 s
% 2.20/0.62 % (2540900)Peak memory usage: 10 MB
% 2.20/0.62 % (2540900)Instructions burned: 33 (million)
% 2.20/0.62 % (2540908)Instruction limit reached!
% 2.20/0.62 % (2540908)------------------------------
% 2.20/0.62 % (2540908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.62 % (2540908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.62 % (2540908)CaDiCaL version: 2.1.3
% 2.20/0.62 % (2540908)Termination reason: Instruction limit
% 2.20/0.62 % (2540908)Termination phase: SInE selection
% 2.20/0.62 % (2540908)Time elapsed: 0.005 s
% 2.20/0.62 % (2540908)Peak memory usage: 10 MB
% 2.20/0.62 % (2540908)Instructions burned: 24 (million)
% 2.20/0.62 % (2540909)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3049125615:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.20/0.62 % (2540904)Instruction limit reached!
% 2.20/0.62 % (2540904)------------------------------
% 2.20/0.62 % (2540904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.62 % (2540904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.62 % (2540904)CaDiCaL version: 2.1.3
% 2.20/0.62 % (2540904)Termination reason: Instruction limit
% 2.20/0.62 % (2540904)Termination phase: Property scanning
% 2.20/0.62 % (2540904)Time elapsed: 0.010 s
% 2.20/0.62 % (2540904)Peak memory usage: 10 MB
% 2.20/0.62 % (2540904)Instructions burned: 23 (million)
% 2.20/0.62 % (2540914)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2085491430:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.20/0.62 % (2540911)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2895033752:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.20/0.62 % (2540913)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2603097042:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.20/0.62 % (2540914)Instruction limit reached!
% 2.20/0.62 % (2540914)------------------------------
% 2.20/0.62 % (2540914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.62 % (2540914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.62 % (2540914)CaDiCaL version: 2.1.3
% 2.20/0.62 % (2540914)Termination reason: Instruction limit
% 2.20/0.62 % (2540914)Termination phase: Property scanning
% 2.20/0.62 % (2540914)Time elapsed: 0.009 s
% 2.20/0.62 % (2540914)Peak memory usage: 11 MB
% 2.20/0.62 % (2540914)Instructions burned: 44 (million)
% 2.20/0.62 % (2540916)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.20/0.62 % (2540916)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4021707701:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 2.20/0.62 % (2540920)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1659875277:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.20/0.62 % (2540916)Instruction limit reached!
% 2.20/0.62 % (2540916)------------------------------
% 2.20/0.62 % (2540916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.62 % (2540916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.62 % (2540916)CaDiCaL version: 2.1.3
% 2.20/0.62 % (2540916)Termination reason: Instruction limit
% 2.52/0.69 % (2540916)Termination phase: shuffling
% 2.52/0.69 % (2540916)Time elapsed: 0.004 s
% 2.52/0.69 % (2540916)Peak memory usage: 10 MB
% 2.52/0.69 % (2540916)Instructions burned: 9 (million)
% 2.52/0.69 % (2540923)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=608878855:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.52/0.69 % (2540920)Instruction limit reached!
% 2.52/0.69 % (2540920)------------------------------
% 2.52/0.69 % (2540920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.69 % (2540920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.69 % (2540920)CaDiCaL version: 2.1.3
% 2.52/0.69 % (2540920)Termination reason: Instruction limit
% 2.52/0.69 % (2540920)Termination phase: Saturation
% 2.52/0.69 % (2540920)Time elapsed: 0.044 s
% 2.52/0.69 % (2540920)Peak memory usage: 14 MB
% 2.52/0.69 % (2540920)Instructions burned: 182 (million)
% 2.52/0.69 % (2540911)Instruction limit reached!
% 2.52/0.69 % (2540911)------------------------------
% 2.52/0.69 % (2540911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.69 % (2540911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.69 % (2540911)CaDiCaL version: 2.1.3
% 2.52/0.69 % (2540911)Termination reason: Instruction limit
% 2.52/0.69 % (2540911)Termination phase: Saturation
% 2.52/0.69 % (2540911)Time elapsed: 0.060 s
% 2.52/0.69 % (2540911)Peak memory usage: 13 MB
% 2.52/0.69 % (2540911)Instructions burned: 145 (million)
% 2.52/0.69 % (2540885)Instruction limit reached!
% 2.52/0.69 % (2540885)------------------------------
% 2.52/0.69 % (2540885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.69 % (2540925)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.52/0.69 % (2540885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.69 % (2540885)CaDiCaL version: 2.1.3
% 2.52/0.69 % (2540885)Termination reason: Instruction limit
% 2.52/0.69 % (2540885)Termination phase: Saturation
% 2.52/0.69 % (2540885)Time elapsed: 0.158 s
% 2.52/0.69 % (2540885)Peak memory usage: 14 MB
% 2.52/0.69 % (2540885)Instructions burned: 327 (million)
% 2.52/0.69 % (2540925)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=588458884:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.52/0.69 % (2540925)Instruction limit reached!
% 2.52/0.69 % (2540925)------------------------------
% 2.52/0.69 % (2540925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.69 % (2540925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.69 % (2540925)CaDiCaL version: 2.1.3
% 2.52/0.69 % (2540925)Termination reason: Instruction limit
% 2.52/0.69 % (2540925)Termination phase: Property scanning
% 2.52/0.69 % (2540925)Time elapsed: 0.003 s
% 2.52/0.69 % (2540925)Peak memory usage: 10 MB
% 2.52/0.69 % (2540925)Instructions burned: 15 (million)
% 2.52/0.69 % (2540926)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2009383259:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.52/0.69 % (2540929)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1603293850:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.52/0.69 % (2540927)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1511680150:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.52/0.69 % (2540926)Instruction limit reached!
% 2.52/0.69 % (2540926)------------------------------
% 2.52/0.69 % (2540926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.69 % (2540926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.69 % (2540926)CaDiCaL version: 2.1.3
% 2.52/0.69 % (2540926)Termination reason: Instruction limit
% 2.52/0.69 % (2540926)Termination phase: Preprocessing 2
% 2.52/0.69 % (2540926)Time elapsed: 0.010 s
% 2.52/0.69 % (2540926)Peak memory usage: 10 MB
% 2.52/0.69 % (2540926)Instructions burned: 22 (million)
% 2.52/0.69 % (2540927)Instruction limit reached!
% 2.52/0.69 % (2540927)------------------------------
% 2.52/0.69 % (2540927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540927)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540927)Termination reason: Instruction limit
% 2.78/0.73 % (2540927)Termination phase: Property scanning
% 2.78/0.73 % (2540927)Time elapsed: 0.009 s
% 2.78/0.73 % (2540927)Peak memory usage: 10 MB
% 2.78/0.73 % (2540927)Instructions burned: 19 (million)
% 2.78/0.73 % (2540913)Instruction limit reached!
% 2.78/0.73 % (2540913)------------------------------
% 2.78/0.73 % (2540913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540913)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540913)Termination reason: Instruction limit
% 2.78/0.73 % (2540913)Termination phase: Saturation
% 2.78/0.73 % (2540913)Time elapsed: 0.094 s
% 2.78/0.73 % (2540913)Peak memory usage: 14 MB
% 2.78/0.73 % (2540913)Instructions burned: 193 (million)
% 2.78/0.73 % (2540933)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1386954045:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.78/0.73 % (2540923)Instruction limit reached!
% 2.78/0.73 % (2540923)------------------------------
% 2.78/0.73 % (2540923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540923)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540923)Termination reason: Instruction limit
% 2.78/0.73 % (2540923)Termination phase: Saturation
% 2.78/0.73 % (2540923)Time elapsed: 0.078 s
% 2.78/0.73 % (2540923)Peak memory usage: 13 MB
% 2.78/0.73 % (2540923)Instructions burned: 170 (million)
% 2.78/0.73 % (2540934)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3590343377:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.78/0.73 % (2540935)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3615987104:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.78/0.73 % (2540937)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3333665706:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.78/0.73 % (2540934)Instruction limit reached!
% 2.78/0.73 % (2540934)------------------------------
% 2.78/0.73 % (2540934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540934)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540934)Termination reason: Instruction limit
% 2.78/0.73 % (2540934)Termination phase: Property scanning
% 2.78/0.73 % (2540934)Time elapsed: 0.022 s
% 2.78/0.73 % (2540934)Peak memory usage: 12 MB
% 2.78/0.73 % (2540934)Instructions burned: 47 (million)
% 2.78/0.73 % (2540937)Instruction limit reached!
% 2.78/0.73 % (2540937)------------------------------
% 2.78/0.73 % (2540937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540937)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540937)Termination reason: Instruction limit
% 2.78/0.73 % (2540937)Termination phase: Property scanning
% 2.78/0.73 % (2540937)Time elapsed: 0.009 s
% 2.78/0.73 % (2540937)Peak memory usage: 10 MB
% 2.78/0.73 % (2540937)Instructions burned: 22 (million)
% 2.78/0.73 % (2540941)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.78/0.73 % (2540941)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4007193193:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.78/0.73 % (2540929)Instruction limit reached!
% 2.78/0.73 % (2540929)------------------------------
% 2.78/0.73 % (2540929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540929)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540929)Termination reason: Instruction limit
% 2.78/0.73 % (2540929)Termination phase: Saturation
% 2.78/0.73 % (2540929)Time elapsed: 0.073 s
% 2.78/0.73 % (2540929)Peak memory usage: 16 MB
% 2.78/0.73 % (2540929)Instructions burned: 319 (million)
% 2.78/0.73 % (2540942)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3202395652:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.78/0.73 % (2540944)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1706831908:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.78/0.73 % (2540942)Instruction limit reached!
% 2.78/0.73 % (2540942)------------------------------
% 2.78/0.73 % (2540942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540942)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540942)Termination reason: Instruction limit
% 2.78/0.73 % (2540942)Termination phase: Property scanning
% 2.78/0.73 % (2540942)Time elapsed: 0.007 s
% 2.78/0.73 % (2540942)Peak memory usage: 10 MB
% 2.78/0.73 % (2540942)Instructions burned: 15 (million)
% 2.78/0.73 % (2540852)Instruction limit reached!
% 2.78/0.73 % (2540852)------------------------------
% 2.78/0.73 % (2540852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540852)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540852)Termination reason: Instruction limit
% 2.78/0.73 % (2540852)Termination phase: Saturation
% 2.78/0.73 % (2540852)Time elapsed: 0.350 s
% 2.78/0.73 % (2540852)Peak memory usage: 18 MB
% 2.78/0.73 % (2540852)Instructions burned: 634 (million)
% 2.78/0.73 % (2540944)Instruction limit reached!
% 2.78/0.73 % (2540944)------------------------------
% 2.78/0.73 % (2540944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540944)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540944)Termination reason: Instruction limit
% 2.78/0.73 % (2540944)Termination phase: Saturation
% 2.78/0.73 % (2540944)Time elapsed: 0.015 s
% 2.78/0.73 % (2540944)Peak memory usage: 12 MB
% 2.78/0.73 % (2540944)Instructions burned: 69 (million)
% 2.78/0.73 % (2540947)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3632160286:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.78/0.73 % (2540949)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2033773075:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.78/0.73 % (2540948)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2761315916:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.78/0.73 % (2540947)Instruction limit reached!
% 2.78/0.73 % (2540947)------------------------------
% 2.78/0.73 % (2540947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540947)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540947)Termination reason: Instruction limit
% 2.78/0.73 % (2540947)Termination phase: Saturation
% 2.78/0.73 % (2540947)Time elapsed: 0.022 s
% 2.78/0.73 % (2540947)Peak memory usage: 12 MB
% 2.78/0.73 % (2540947)Instructions burned: 51 (million)
% 2.78/0.73 % (2540948)Instruction limit reached!
% 2.78/0.73 % (2540948)------------------------------
% 2.78/0.73 % (2540948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540948)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540948)Termination reason: Instruction limit
% 2.78/0.73 % (2540948)Termination phase: Property scanning
% 2.78/0.73 % (2540948)Time elapsed: 0.013 s
% 2.78/0.73 % (2540948)Peak memory usage: 10 MB
% 2.78/0.73 % (2540948)Instructions burned: 31 (million)
% 2.78/0.73 % (2540949)Instruction limit reached!
% 2.78/0.73 % (2540949)------------------------------
% 2.78/0.73 % (2540949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540949)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540949)Termination reason: Instruction limit
% 2.78/0.73 % (2540949)Termination phase: Saturation
% 2.78/0.73 % (2540949)Time elapsed: 0.030 s
% 2.78/0.73 % (2540949)Peak memory usage: 13 MB
% 2.78/0.73 % (2540949)Instructions burned: 137 (million)
% 2.78/0.73 % (2540953)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3348779147:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.78/0.73 % (2540954)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2545720692:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.78/0.73 % (2540955)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.78/0.73 % (2540941)Instruction limit reached!
% 2.78/0.73 % (2540941)------------------------------
% 2.78/0.73 % (2540941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540941)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540941)Termination reason: Instruction limit
% 2.78/0.73 % (2540941)Termination phase: Saturation
% 2.78/0.73 % (2540941)Time elapsed: 0.085 s
% 2.78/0.73 % (2540941)Peak memory usage: 13 MB
% 2.78/0.73 % (2540941)Instructions burned: 202 (million)
% 2.78/0.73 % (2540955)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=700426314:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 2.78/0.73 % (2540953)Instruction limit reached!
% 2.78/0.73 % (2540953)------------------------------
% 2.78/0.73 % (2540953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540953)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540953)Termination reason: Instruction limit
% 2.78/0.73 % (2540953)Termination phase: Function definition elimination
% 2.78/0.73 % (2540953)Time elapsed: 0.015 s
% 2.78/0.73 % (2540953)Peak memory usage: 10 MB
% 2.78/0.73 % (2540953)Instructions burned: 36 (million)
% 2.78/0.73 % (2540959)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3648079520:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 2.78/0.73 % (2540954)Instruction limit reached!
% 2.78/0.73 % (2540954)------------------------------
% 2.78/0.73 % (2540954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.73 % (2540954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.73 % (2540954)CaDiCaL version: 2.1.3
% 2.78/0.73 % (2540954)Termination reason: Instruction limit
% 2.78/0.73 % (2540954)Termination phase: Saturation
% 2.78/0.73 % (2540954)Time elapsed: 0.029 s
% 2.78/0.73 % (2540954)Peak memory usage: 12 MB
% 2.78/0.73 % (2540954)Instructions burned: 67 (million)
% 2.78/0.73 % (2540960)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1593876945:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 2.78/0.73 % (2540933) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2540844-2540933"...
% 2.78/0.73 % (2540933)...printing done.
% 2.78/0.73 % (2540933)Refutation found. Thanks to Tanya!
% 2.78/0.73 % SZS status Theorem for theBenchmark
% 2.78/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.78/0.74 % (2540933)------------------------------
% 2.78/0.74 % (2540933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.78/0.74 % (2540933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/0.74 % (2540933)CaDiCaL version: 2.1.3
% 2.78/0.74 % (2540933)Termination reason: Refutation
% 2.78/0.74 % (2540933)Time elapsed: 0.160 s
% 2.78/0.74 % (2540933)Peak memory usage: 17 MB
% 2.78/0.74 % (2540933)Instructions burned: 291 (million)
% 2.78/0.74 % (2540844)Success in time 0.477 s
% 2.78/0.74 % Vampire exiting
%------------------------------------------------------------------------------