%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU598^1 : 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 : n004.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 08:30:15 AM UTC 2026
% Result : Theorem 2.68s 0.79s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 99 ( 33 unt; 0 typ; 11 def)
% Number of atoms : 2327 ( 638 equ; 0 cnn)
% Maximal formula atoms : 116 ( 23 avg)
% Number of connectives : 1382 ( 112 ~; 103 |; 372 &; 300 @)
% ( 20 <=>; 475 =>; 0 <=; 0 <~>)
% Maximal formula depth : 121 ( 12 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 : 266 ( 263 usr; 145 con; 0-4 aty)
% Number of variables : 122 ( 0 sgn 100 !; 22 ?; 122 :)
% 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_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_134,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_135,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_136,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_137,type,
vAND: $o > $o > $o ).
thf(func_def_138,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_139,type,
vIMP: $o > $o > $o ).
thf(func_def_140,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_141,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_142,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_143,type,
vNOT: $o > $o ).
thf(func_def_144,type,
sP0: $i > $i > $o ).
thf(func_def_145,type,
sP1: $i > $o ).
thf(func_def_166,type,
sK22: $o ).
thf(func_def_168,type,
sK24: $i > $o ).
thf(func_def_169,type,
sK25: $i > $i ).
thf(func_def_170,type,
sK26: ( $i > $o ) > $i ).
thf(func_def_176,type,
sK32: $i > $o ).
thf(func_def_182,type,
sK38: $i > $i ).
thf(func_def_183,type,
sK39: $i > $i ).
thf(func_def_188,type,
sK44: $i > $o ).
thf(func_def_191,type,
sK47: ( $i > $o ) > $i ).
thf(func_def_192,type,
sK48: $i > $o ).
thf(func_def_193,type,
sK49: ( $i > $o ) > $i > $i ).
thf(func_def_195,type,
sK51: $i > $o ).
thf(func_def_200,type,
sK56: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_201,type,
sK57: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_204,type,
sK60: $i > $o ).
thf(func_def_205,type,
sK61: $i > $o ).
thf(func_def_212,type,
sK68: $i > $o ).
thf(func_def_215,type,
sK71: $i > ( $i > $o ) > $i ).
thf(func_def_216,type,
sK72: $o ).
thf(func_def_223,type,
sK79: $i > $i > $i ).
thf(func_def_228,type,
sK84: $i > $i ).
thf(func_def_233,type,
sK89: $i > $o ).
thf(func_def_240,type,
sK96: $i > $o ).
thf(func_def_242,type,
sK98: ( $i > $o ) > $i > $i ).
thf(func_def_243,type,
sK99: $i > $o ).
thf(func_def_244,type,
sK100: $i > $o ).
thf(func_def_245,type,
sK101: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_246,type,
sK102: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_247,type,
sK103: $i > $o ).
thf(func_def_264,type,
sK120: $i > $i > $i ).
thf(func_def_266,type,
sK122: $i > $o ).
thf(func_def_285,type,
sK141: $i > $i > $i ).
thf(func_def_286,type,
sK142: $i > $i > $i ).
thf(func_def_290,type,
sK146: $i > $i ).
thf(func_def_294,type,
sK150: $i > $i > $o ).
thf(func_def_295,type,
sK151: $i > $i ).
thf(func_def_296,type,
sK152: $i > $i ).
thf(func_def_297,type,
sK153: ( $i > $i > $o ) > $i > $i ).
thf(func_def_298,type,
sK154: ( $i > $i > $o ) > $i > $i ).
thf(func_def_299,type,
sK155: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_301,type,
sK157: $o ).
thf(func_def_305,type,
sK161: $o ).
thf(func_def_306,type,
sK162: ( $i > $o ) > $i > $i ).
thf(func_def_308,type,
sK164: $i > $o ).
thf(func_def_310,type,
sK166: $i > $o ).
thf(func_def_314,type,
sK170: $i > $o ).
thf(func_def_315,type,
sK171: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_316,type,
sK172: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_317,type,
sK173: $i > $o ).
thf(func_def_318,type,
sK174: $i > $o ).
thf(func_def_320,type,
sK176: $i > $i ).
thf(func_def_321,type,
sK177: ( $i > $o ) > $i ).
thf(func_def_322,type,
sK178: $i > $o ).
thf(func_def_323,type,
sK179: $i > $i ).
thf(func_def_324,type,
sK180: ( $i > $o ) > $i > $i ).
thf(func_def_326,type,
sK182: $i > $o ).
thf(func_def_331,type,
sK187: $o ).
thf(func_def_332,type,
sK188: $o > $i > $i > $i ).
thf(func_def_336,type,
sK192: $i > $i > $i ).
thf(func_def_341,type,
sK197: $i > $i ).
thf(func_def_342,type,
sK198: $i > $o ).
thf(func_def_347,type,
sK203: $i > $o ).
thf(func_def_349,type,
sK205: $i > $o ).
thf(func_def_351,type,
sK207: ( $i > $o ) > $i ).
thf(func_def_352,type,
sK208: ( $i > $o ) > $i ).
thf(func_def_363,type,
sK219: $i > $o ).
thf(func_def_366,type,
sK222: $i > ( $i > $o ) > $i ).
thf(func_def_367,type,
sK223: $i > $o ).
thf(func_def_372,type,
sK228: $i > ( $i > $o ) > $i ).
thf(func_def_373,type,
sK229: $i > $o ).
thf(func_def_378,type,
sK234: $i > $i > $i ).
thf(func_def_379,type,
sK235: $i > $i > $i ).
thf(func_def_386,type,
sK242: $i > $i > $i ).
thf(func_def_389,type,
sK245: $o ).
thf(func_def_404,type,
sK260: $i > $i > $i ).
thf(func_def_415,type,
sK271: $i > $i ).
thf(func_def_416,type,
sK272: $i > $i ).
thf(func_def_417,type,
sK273: $i > $i ).
thf(func_def_418,type,
sK274: $i > $i ).
thf(func_def_419,type,
sK275: $i > $i > $i ).
thf(func_def_420,type,
sK276: $i > $i > $i > $i ).
thf(func_def_421,type,
sK277: $i > $i > $i > $i ).
thf(func_def_422,type,
sK278: $i > $i > $i > $i ).
thf(func_def_423,type,
sK279: $i > $i > $i ).
thf(func_def_424,type,
sK280: $i > $i > $i ).
thf(func_def_425,type,
sK281: $i > $i > $i ).
thf(func_def_426,type,
sK282: $i > $i > $i ).
thf(func_def_427,type,
sK283: $i > $i ).
thf(func_def_428,type,
sK284: $i > $i > $i > $i ).
thf(func_def_430,type,
sK286: $i > $i ).
thf(func_def_431,type,
sK287: $i > $i ).
thf(func_def_432,type,
sK288: $i > $i ).
thf(func_def_433,type,
sK289: $i > $i ).
thf(func_def_435,type,
sK291: $i > $i ).
thf(func_def_436,type,
sK292: $i > $o ).
thf(func_def_445,type,
sK301: $i > $o ).
thf(func_def_446,type,
sK302: $o ).
thf(func_def_451,type,
sK307: $i > $o ).
thf(func_def_454,type,
sK310: $i > ( $i > $o ) > $i ).
thf(f79,axiom,
( eqimpsubset2
= ( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ( subset @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqimpsubset2) ).
thf(f93,axiom,
! [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
=> ( ( subset @ X1 @ X0 )
=> ( X0 = X1 ) ) )
= setextsub ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextsub) ).
thf(f109,axiom,
( binintersectSubset5
= ( ! [X1: $i,X0: $i,X2: $i] :
( ( subset @ X2 @ X0 )
=> ( ( subset @ X2 @ X1 )
=> ( subset @ X2 @ ( binintersect @ X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectSubset5) ).
thf(f116,axiom,
( binintersectRsub
= ( ! [X1: $i,X0: $i] : ( subset @ ( binintersect @ X0 @ X1 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectRsub) ).
thf(f117,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
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
=> ( ( binintersect @ X0 @ X1 )
= X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectSubset4) ).
thf(f118,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
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
=> ( ( binintersect @ X0 @ X1 )
= X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f117]) ).
thf(f119,plain,
( binintersectRsub
= ( ! [X0: $i,X1: $i] : ( subset @ ( binintersect @ X1 @ X0 ) @ X0 ) ) ),
inference(rectify,[],[f116]) ).
thf(f120,plain,
( ( binintersectRsub = $true )
<=> ! [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X0 )
= $true ) ),
inference(fool_elimination,[],[f119]) ).
thf(f259,plain,
( eqimpsubset2
= ( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ( subset @ X1 @ X0 ) ) ) ),
inference(rectify,[],[f79]) ).
thf(f260,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
=> ( ( subset @ X1 @ X0 )
= $true ) )
<=> ( eqimpsubset2 = $true ) ),
inference(fool_elimination,[],[f259]) ).
thf(f284,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
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
=> ( ( binintersect @ X0 @ X1 )
= X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f118]) ).
thf(f285,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 )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
=> ( ( binintersect @ X0 @ X1 )
= X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f284]) ).
thf(f290,plain,
( binintersectSubset5
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X2 @ X1 )
=> ( ( subset @ X2 @ X0 )
=> ( subset @ X2 @ ( binintersect @ X1 @ X0 ) ) ) ) ) ),
inference(rectify,[],[f109]) ).
thf(f291,plain,
( ( binintersectSubset5 = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( ( subset @ X2 @ X1 )
= $true )
=> ( ( ( subset @ X2 @ X0 )
= $true )
=> ( ( subset @ X2 @ ( binintersect @ X1 @ X0 ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f290]) ).
thf(f304,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
=> ( ( subset @ X0 @ X1 )
=> ( X0 = X1 ) ) )
= setextsub ),
inference(rectify,[],[f93]) ).
thf(f305,plain,
( ! [X1: $i,X0: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
=> ( ( ( subset @ X0 @ X1 )
= $true )
=> ( X0 = X1 ) ) )
<=> ( setextsub = $true ) ),
inference(fool_elimination,[],[f304]) ).
thf(f375,plain,
( ( eqimpsubset2 = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( X0 != X1 ) ) ),
inference(ennf_transformation,[],[f260]) ).
thf(f402,plain,
( ? [X0: $i,X1: $i] :
( ( ( binintersect @ X0 @ X1 )
!= X1 )
& ( ( subset @ X1 @ X0 )
= $true ) )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $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,[],[f285]) ).
thf(f403,plain,
( ( emptyinPowerset = $true )
& ( emptyE1 = $true )
& ( prop2set2propI = $true )
& ( subsetE2 = $true )
& ( binunionIL = $true )
& ( subsetI2 = $true )
& ( emptysetAx = $true )
& ( setadjoin__Cong = $true )
& ( notequalI2 = $true )
& ( omegaIndAx = $true )
& ( subsetRefl = $true )
& ( upairsetIR = $true )
& ( powersetI1 = $true )
& ( upairsetIL = $true )
& ( setunionAx = $true )
& ( dsetconstrER = $true )
& ( binunionE = $true )
& ( omega0Ax = $true )
& ( binintersectSubset2 = $true )
& ( nonemptyI1 = $true )
& ( nonemptyE1 = $true )
& ( sepSubset = $true )
& ( setadjoinIL = $true )
& ( prop2setI = $true )
& ( binunionEcases = $true )
& ( powerset__Cong = $true )
& ( nonemptyImpWitness = $true )
& ( emptysetimpfalse = $true )
& ( powersetI = $true )
& ( notinsingleton = $true )
& ( noeltsimpempty = $true )
& ( dsetconstrEL = $true )
& ( eqimpsubset2 = $true )
& ( setadjoinIR = $true )
& ( exuEu = $true )
& ( descr__Cong = $true )
& ( subsetTrans = $true )
& ( emptyinunitempty = $true )
& ( setadjoinAx = $true )
& ( powersetAx = $true )
& ( binintersectSubset5 = $true )
& ( prop2setE = $true )
& ( disjointsetsI1 = $true )
& ( replAx = $true )
& ( notequalI1 = $true )
& ( setunionE = $true )
& ( uniqinunit = $true )
& ( setbeta = $true )
& ( exuE3e = $true )
& ( emptyI = $true )
& ( exuI1 = $true )
& ( foundationAx = $true )
& ( inPowerset = $true )
& ( singletonsswitch = $true )
& ( upairsetE = $true )
& ( setext = $true )
& ( setadjoinSub = $true )
& ( quantDeMorgan3 = $true )
& ( exuI3 = $true )
& ( setadjoinOr = $true )
& ( emptyInPowerset = $true )
& ( binunionRsub = $true )
& ( dsetconstr__Cong = $true )
& ( binintersectRsub = $true )
& ( subPowSU = $true )
& ( notinemptyset = $true )
& ( nonemptyI = $true )
& ( setunion__Cong = $true )
& ( upairset2IR = $true )
& ( emptysetsubset = $true )
& ( exuE2 = $true )
& ( notdallE = $true )
& ( descrp = $true )
& ( subsetemptysetimpeq = $true )
& ( eqimpsubset1 = $true )
& ( inCongP = $true )
& ( emptysetE = $true )
& ( subsetI1 = $true )
& ? [X0: $i,X1: $i] :
( ( ( binintersect @ X0 @ X1 )
!= X1 )
& ( ( subset @ X1 @ X0 )
= $true ) )
& ( setoftrueEq = $true )
& ( setadjoinE = $true )
& ( setunionI = $true )
& ( dsetconstrI = $true )
& ( powersetsubset = $true )
& ( setextAx = $true )
& ( binintersectI = $true )
& ( sepInPowerset = $true )
& ( quantDeMorgan2 = $true )
& ( notdexE = $true )
& ( setadjoinSub2 = $true )
& ( exuE1 = $true )
& ( notsubsetI = $true )
& ( wellorderingAx = $true )
& ( binintersectEL = $true )
& ( subset2powerset = $true )
& ( quantDeMorgan1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binunionIR = $true )
& ( binintersectLsub = $true )
& ( eqinunit = $true )
& ( omega__Cong = $true )
& ( exuI2 = $true )
& ( vacuousDall = $true )
& ( in__Cong = $true )
& ( powersetE = $true )
& ( setextsub = $true )
& ( emptyset__Cong = $true )
& ( powersetE1 = $true )
& ( binunionLsub = $true )
& ( exuE3u = $true )
& ( subsetE = $true )
& ( omegaSAx = $true )
& ( exu__Cong = $true )
& ( quantDeMorgan4 = $true ) ),
inference(flattening,[],[f402]) ).
thf(f441,plain,
( ! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
<=> ( setextsub = $true ) ),
inference(ennf_transformation,[],[f305]) ).
thf(f442,plain,
( ! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
<=> ( setextsub = $true ) ),
inference(flattening,[],[f441]) ).
thf(f447,plain,
( ( binintersectSubset5 = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( ( subset @ X2 @ ( binintersect @ X1 @ X0 ) )
= $true )
| ( ( subset @ X2 @ X0 )
!= $true )
| ( ( subset @ X2 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f291]) ).
thf(f448,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
!= $true )
| ( ( subset @ X2 @ X1 )
!= $true )
| ( ( subset @ X2 @ ( binintersect @ X1 @ X0 ) )
= $true ) )
<=> ( binintersectSubset5 = $true ) ),
inference(flattening,[],[f447]) ).
thf(f509,plain,
( ( ( eqimpsubset2 = $true )
| ? [X1: $i,X0: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
& ( X0 = X1 ) ) )
& ( ! [X1: $i,X0: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( X0 != X1 ) )
| ( eqimpsubset2 != $true ) ) ),
inference(nnf_transformation,[],[f375]) ).
thf(f510,plain,
( ( ( eqimpsubset2 = $true )
| ? [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
& ( X0 = X1 ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
= $true )
| ( X2 != X3 ) )
| ( eqimpsubset2 != $true ) ) ),
inference(rectify,[],[f509]) ).
thf(f511,plain,
( ( ( eqimpsubset2 = $true )
| ( ( ( subset @ sK17 @ sK18 )
!= $true )
& ( sK18 = sK17 ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
= $true )
| ( X2 != X3 ) )
| ( eqimpsubset2 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f510]) ).
thf(f528,plain,
( ( ! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
| ( setextsub != $true ) )
& ( ( setextsub = $true )
| ? [X1: $i,X0: $i] :
( ( X0 != X1 )
& ( ( subset @ X0 @ X1 )
= $true )
& ( ( subset @ X1 @ X0 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f442]) ).
thf(f529,plain,
( ( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( setextsub != $true ) )
& ( ( setextsub = $true )
| ? [X2: $i,X3: $i] :
( ( X2 != X3 )
& ( ( subset @ X3 @ X2 )
= $true )
& ( ( subset @ X2 @ X3 )
= $true ) ) ) ),
inference(rectify,[],[f528]) ).
thf(f530,plain,
( ( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( setextsub != $true ) )
& ( ( setextsub = $true )
| ( ( sK31 != sK30 )
& ( ( subset @ sK31 @ sK30 )
= $true )
& ( ( subset @ sK30 @ sK31 )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31]),skolemize(X2,sK30),skolemize(X3,sK31)],[f529]) ).
thf(f606,plain,
( ( ( binintersectRsub = $true )
| ? [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X0 )
!= $true ) )
& ( ! [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X0 )
= $true )
| ( binintersectRsub != $true ) ) ),
inference(nnf_transformation,[],[f120]) ).
thf(f607,plain,
( ( ( binintersectRsub = $true )
| ? [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X1 )
!= $true ) )
& ( ! [X2: $i,X3: $i] :
( ( subset @ ( binintersect @ X2 @ X3 ) @ X3 )
= $true )
| ( binintersectRsub != $true ) ) ),
inference(rectify,[],[f606]) ).
thf(f608,plain,
( ( ( binintersectRsub = $true )
| ( ( subset @ ( binintersect @ sK106 @ sK107 ) @ sK107 )
!= $true ) )
& ( ! [X2: $i,X3: $i] :
( ( subset @ ( binintersect @ X2 @ X3 ) @ X3 )
= $true )
| ( binintersectRsub != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK106,sK107]),skolemize(X0,sK106),skolemize(X1,sK107)],[f607]) ).
thf(f609,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
!= $true )
| ( ( subset @ X2 @ X1 )
!= $true )
| ( ( subset @ X2 @ ( binintersect @ X1 @ X0 ) )
= $true ) )
| ( binintersectSubset5 != $true ) )
& ( ( binintersectSubset5 = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
= $true )
& ( ( subset @ X2 @ X1 )
= $true )
& ( ( subset @ X2 @ ( binintersect @ X1 @ X0 ) )
!= $true ) ) ) ),
inference(nnf_transformation,[],[f448]) ).
thf(f610,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
!= $true )
| ( ( subset @ X2 @ X1 )
!= $true )
| ( ( subset @ X2 @ ( binintersect @ X1 @ X0 ) )
= $true ) )
| ( binintersectSubset5 != $true ) )
& ( ( binintersectSubset5 = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( ( subset @ X5 @ X3 )
= $true )
& ( ( subset @ X5 @ X4 )
= $true )
& ( ( subset @ X5 @ ( binintersect @ X4 @ X3 ) )
!= $true ) ) ) ),
inference(rectify,[],[f609]) ).
thf(f611,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
!= $true )
| ( ( subset @ X2 @ X1 )
!= $true )
| ( ( subset @ X2 @ ( binintersect @ X1 @ X0 ) )
= $true ) )
| ( binintersectSubset5 != $true ) )
& ( ( binintersectSubset5 = $true )
| ( ( ( subset @ sK110 @ sK108 )
= $true )
& ( ( subset @ sK110 @ sK109 )
= $true )
& ( ( subset @ sK110 @ ( binintersect @ sK109 @ sK108 ) )
!= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK108,sK109,sK110]),skolemize(X3,sK108),skolemize(X4,sK109),skolemize(X5,sK110)],[f610]) ).
thf(f724,plain,
( ( emptyinPowerset = $true )
& ( emptyE1 = $true )
& ( prop2set2propI = $true )
& ( subsetE2 = $true )
& ( binunionIL = $true )
& ( subsetI2 = $true )
& ( emptysetAx = $true )
& ( setadjoin__Cong = $true )
& ( notequalI2 = $true )
& ( omegaIndAx = $true )
& ( subsetRefl = $true )
& ( upairsetIR = $true )
& ( powersetI1 = $true )
& ( upairsetIL = $true )
& ( setunionAx = $true )
& ( dsetconstrER = $true )
& ( binunionE = $true )
& ( omega0Ax = $true )
& ( binintersectSubset2 = $true )
& ( nonemptyI1 = $true )
& ( nonemptyE1 = $true )
& ( sepSubset = $true )
& ( setadjoinIL = $true )
& ( prop2setI = $true )
& ( binunionEcases = $true )
& ( powerset__Cong = $true )
& ( nonemptyImpWitness = $true )
& ( emptysetimpfalse = $true )
& ( powersetI = $true )
& ( notinsingleton = $true )
& ( noeltsimpempty = $true )
& ( dsetconstrEL = $true )
& ( eqimpsubset2 = $true )
& ( setadjoinIR = $true )
& ( exuEu = $true )
& ( descr__Cong = $true )
& ( subsetTrans = $true )
& ( emptyinunitempty = $true )
& ( setadjoinAx = $true )
& ( powersetAx = $true )
& ( binintersectSubset5 = $true )
& ( prop2setE = $true )
& ( disjointsetsI1 = $true )
& ( replAx = $true )
& ( notequalI1 = $true )
& ( setunionE = $true )
& ( uniqinunit = $true )
& ( setbeta = $true )
& ( exuE3e = $true )
& ( emptyI = $true )
& ( exuI1 = $true )
& ( foundationAx = $true )
& ( inPowerset = $true )
& ( singletonsswitch = $true )
& ( upairsetE = $true )
& ( setext = $true )
& ( setadjoinSub = $true )
& ( quantDeMorgan3 = $true )
& ( exuI3 = $true )
& ( setadjoinOr = $true )
& ( emptyInPowerset = $true )
& ( binunionRsub = $true )
& ( dsetconstr__Cong = $true )
& ( binintersectRsub = $true )
& ( subPowSU = $true )
& ( notinemptyset = $true )
& ( nonemptyI = $true )
& ( setunion__Cong = $true )
& ( upairset2IR = $true )
& ( emptysetsubset = $true )
& ( exuE2 = $true )
& ( notdallE = $true )
& ( descrp = $true )
& ( subsetemptysetimpeq = $true )
& ( eqimpsubset1 = $true )
& ( inCongP = $true )
& ( emptysetE = $true )
& ( subsetI1 = $true )
& ( ( binintersect @ sK215 @ sK216 )
!= sK216 )
& ( ( subset @ sK216 @ sK215 )
= $true )
& ( setoftrueEq = $true )
& ( setadjoinE = $true )
& ( setunionI = $true )
& ( dsetconstrI = $true )
& ( powersetsubset = $true )
& ( setextAx = $true )
& ( binintersectI = $true )
& ( sepInPowerset = $true )
& ( quantDeMorgan2 = $true )
& ( notdexE = $true )
& ( setadjoinSub2 = $true )
& ( exuE1 = $true )
& ( notsubsetI = $true )
& ( wellorderingAx = $true )
& ( binintersectEL = $true )
& ( subset2powerset = $true )
& ( quantDeMorgan1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binunionIR = $true )
& ( binintersectLsub = $true )
& ( eqinunit = $true )
& ( omega__Cong = $true )
& ( exuI2 = $true )
& ( vacuousDall = $true )
& ( in__Cong = $true )
& ( powersetE = $true )
& ( setextsub = $true )
& ( emptyset__Cong = $true )
& ( powersetE1 = $true )
& ( binunionLsub = $true )
& ( exuE3u = $true )
& ( subsetE = $true )
& ( omegaSAx = $true )
& ( exu__Cong = $true )
& ( quantDeMorgan4 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK215,sK216]),skolemize(X0,sK215),skolemize(X1,sK216)],[f403]) ).
thf(f850,plain,
! [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
= $true )
| ( X2 != X3 )
| ( eqimpsubset2 != $true ) ),
inference(cnf_transformation,[],[f511]) ).
thf(f874,plain,
! [X0: $i,X1: $i] :
( ( setextsub != $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( X0 = X1 )
| ( ( subset @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f530]) ).
thf(f973,plain,
! [X2: $i,X3: $i] :
( ( ( subset @ ( binintersect @ X2 @ X3 ) @ X3 )
= $true )
| ( binintersectRsub != $true ) ),
inference(cnf_transformation,[],[f608]) ).
thf(f978,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( binintersectSubset5 != $true )
| ( ( subset @ X2 @ X0 )
!= $true )
| ( ( subset @ X2 @ X1 )
!= $true )
| ( ( subset @ X2 @ ( binintersect @ X1 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[],[f611]) ).
thf(f1136,plain,
setextsub = $true,
inference(cnf_transformation,[],[f724]) ).
thf(f1164,plain,
( ( subset @ sK216 @ sK215 )
= $true ),
inference(cnf_transformation,[],[f724]) ).
thf(f1165,plain,
( ( binintersect @ sK215 @ sK216 )
!= sK216 ),
inference(cnf_transformation,[],[f724]) ).
thf(f1180,plain,
binintersectRsub = $true,
inference(cnf_transformation,[],[f724]) ).
thf(f1203,plain,
binintersectSubset5 = $true,
inference(cnf_transformation,[],[f724]) ).
thf(f1211,plain,
eqimpsubset2 = $true,
inference(cnf_transformation,[],[f724]) ).
thf(f1405,plain,
! [X3: $i] :
( ( ( subset @ X3 @ X3 )
= $true )
| ( eqimpsubset2 != $true ) ),
inference(equality_resolution,[],[f850]) ).
thf(f1694,definition,
( spl311_35
<=> ! [X2: $i,X3: $i] :
( ( subset @ ( binintersect @ X2 @ X3 ) @ X3 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl311_35])],[avatar_definition]) ).
thf(f1695,plain,
( ! [X2: $i,X3: $i] :
( ( subset @ ( binintersect @ X2 @ X3 ) @ X3 )
= $true )
| ~ spl311_35 ),
inference(avatar_component_clause,[],[f1694]) ).
thf(f1697,definition,
( spl311_36
<=> ( binintersectRsub = $true ) ),
introduced(definition,[new_symbols(definition,[spl311_36])],[avatar_definition]) ).
thf(f1700,plain,
( spl311_35
| ~ spl311_36 ),
inference(avatar_split_clause,[],[f973,f1697,f1694]) ).
thf(f1959,definition,
( spl311_95
<=> ( ( subset @ sK216 @ sK215 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl311_95])],[avatar_definition]) ).
thf(f1961,plain,
( ( ( subset @ sK216 @ sK215 )
= $true )
| ~ spl311_95 ),
inference(avatar_component_clause,[],[f1959]) ).
thf(f1962,plain,
spl311_95,
inference(avatar_split_clause,[],[f1164,f1959]) ).
thf(f2192,definition,
( spl311_146
<=> ( eqimpsubset2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl311_146])],[avatar_definition]) ).
thf(f2320,plain,
spl311_36,
inference(avatar_split_clause,[],[f1180,f1697]) ).
thf(f2535,definition,
( spl311_221
<=> ( setextsub = $true ) ),
introduced(definition,[new_symbols(definition,[spl311_221])],[avatar_definition]) ).
thf(f2539,definition,
( spl311_222
<=> ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( X0 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl311_222])],[avatar_definition]) ).
thf(f2540,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( X0 = X1 ) )
| ~ spl311_222 ),
inference(avatar_component_clause,[],[f2539]) ).
thf(f2541,plain,
( ~ spl311_221
| spl311_222 ),
inference(avatar_split_clause,[],[f874,f2539,f2535]) ).
thf(f2593,definition,
( spl311_234
<=> ! [X0: $i] :
( ( subset @ X0 @ X0 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl311_234])],[avatar_definition]) ).
thf(f2594,plain,
( ! [X0: $i] :
( ( subset @ X0 @ X0 )
= $true )
| ~ spl311_234 ),
inference(avatar_component_clause,[],[f2593]) ).
thf(f2666,definition,
( spl311_250
<=> ( binintersectSubset5 = $true ) ),
introduced(definition,[new_symbols(definition,[spl311_250])],[avatar_definition]) ).
thf(f2670,definition,
( spl311_251
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X2 @ X0 )
!= $true )
| ( ( subset @ X2 @ ( binintersect @ X1 @ X0 ) )
= $true )
| ( ( subset @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl311_251])],[avatar_definition]) ).
thf(f2671,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X2 @ X1 )
!= $true )
| ( ( subset @ X2 @ X0 )
!= $true )
| ( ( subset @ X2 @ ( binintersect @ X1 @ X0 ) )
= $true ) )
| ~ spl311_251 ),
inference(avatar_component_clause,[],[f2670]) ).
thf(f2672,plain,
( ~ spl311_250
| spl311_251 ),
inference(avatar_split_clause,[],[f978,f2670,f2666]) ).
thf(f3050,definition,
( spl311_331
<=> ( ( binintersect @ sK215 @ sK216 )
= sK216 ) ),
introduced(definition,[new_symbols(definition,[spl311_331])],[avatar_definition]) ).
thf(f3052,plain,
( ( ( binintersect @ sK215 @ sK216 )
!= sK216 )
| spl311_331 ),
inference(avatar_component_clause,[],[f3050]) ).
thf(f3053,plain,
~ spl311_331,
inference(avatar_split_clause,[],[f1165,f3050]) ).
thf(f3125,plain,
spl311_250,
inference(avatar_split_clause,[],[f1203,f2666]) ).
thf(f3289,plain,
spl311_221,
inference(avatar_split_clause,[],[f1136,f2535]) ).
thf(f3334,plain,
spl311_146,
inference(avatar_split_clause,[],[f1211,f2192]) ).
thf(f3356,plain,
( spl311_234
| ~ spl311_146 ),
inference(avatar_split_clause,[],[f1405,f2192,f2593]) ).
thf(f4312,plain,
( ( ( subset @ sK216 @ ( binintersect @ sK215 @ sK216 ) )
!= $true )
| ~ spl311_35
| ~ spl311_222
| spl311_331 ),
inference(unit_resulting_resolution,[],[f2540,f3052,f1695]) ).
thf(f4353,definition,
( spl311_560
<=> ( ( subset @ sK216 @ ( binintersect @ sK215 @ sK216 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl311_560])],[avatar_definition]) ).
thf(f4355,plain,
( ( ( subset @ sK216 @ ( binintersect @ sK215 @ sK216 ) )
!= $true )
| spl311_560 ),
inference(avatar_component_clause,[],[f4353]) ).
thf(f4356,plain,
( ~ spl311_560
| ~ spl311_35
| ~ spl311_222
| spl311_331 ),
inference(avatar_split_clause,[],[f4312,f3050,f2539,f1694,f4353]) ).
thf(f6738,plain,
( ( ( subset @ sK216 @ ( binintersect @ sK215 @ sK216 ) )
= $true )
| ~ spl311_95
| ~ spl311_234
| ~ spl311_251 ),
inference(unit_resulting_resolution,[],[f2671,f1961,f2594]) ).
thf(f6856,plain,
( $false
| ~ spl311_95
| ~ spl311_234
| ~ spl311_251
| spl311_560 ),
inference(forward_subsumption_resolution,[],[f6738,f4355]) ).
thf(f6857,plain,
( ~ spl311_95
| ~ spl311_234
| ~ spl311_251
| spl311_560 ),
inference(avatar_contradiction_clause,[],[f6856]) ).
cnf(s20,plain,
( spl311_35
| ~ spl311_36 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s63,plain,
spl311_95,
inference(sat_conversion,[],[f1962]) ).
cnf(s128,plain,
spl311_36,
inference(sat_conversion,[],[f2320]) ).
cnf(s172,plain,
( ~ spl311_221
| spl311_222 ),
inference(sat_conversion,[],[f2541]) ).
cnf(s195,plain,
( ~ spl311_250
| spl311_251 ),
inference(sat_conversion,[],[f2672]) ).
cnf(s288,plain,
~ spl311_331,
inference(sat_conversion,[],[f3053]) ).
cnf(s305,plain,
spl311_250,
inference(sat_conversion,[],[f3125]) ).
cnf(s351,plain,
spl311_221,
inference(sat_conversion,[],[f3289]) ).
cnf(s364,plain,
spl311_146,
inference(sat_conversion,[],[f3334]) ).
cnf(s369,plain,
( ~ spl311_146
| spl311_234 ),
inference(sat_conversion,[],[f3356]) ).
cnf(s577,plain,
( ~ spl311_35
| ~ spl311_222
| spl311_331
| ~ spl311_560 ),
inference(sat_conversion,[],[f4356]) ).
cnf(s881,plain,
( ~ spl311_95
| ~ spl311_234
| ~ spl311_251
| spl311_560 ),
inference(sat_conversion,[],[f6857]) ).
cnf(s906,plain,
spl311_234,
inference(rat,[],[s369,s364]) ).
cnf(s952,plain,
spl311_251,
inference(rat,[],[s195,s305]) ).
cnf(s958,plain,
spl311_222,
inference(rat,[],[s172,s351]) ).
cnf(s1024,plain,
spl311_560,
inference(rat,[],[s881,s952,s906,s63]) ).
cnf(s1032,plain,
~ spl311_35,
inference(rat,[],[s577,s958,s288,s1024]) ).
cnf(s1146,plain,
$false,
inference(rat,[],[s20,s128,s1032]) ).
thf(f6858,plain,
$false,
inference(avatar_sat_refutation,[],[s1146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU598^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:56:22 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.71/0.38 % (1326081)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.71/0.38 % (1326091)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2876359894:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.71/0.38 % (1326092)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.71/0.38 % (1326092)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
% 0.71/0.38 % (1326088)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3820456780:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.71/0.38 % (1326086)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=910964489:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.71/0.38 % (1326087)lrs+10_16_si=on:nwc=1.5:random_seed=460541336:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.71/0.38 % (1326090)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2275938195:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.71/0.38 % (1326089)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=1033645997: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)
% 0.71/0.38 % (1326092)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=350965841:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.71/0.38 % (1326088)Instruction limit reached!
% 0.71/0.38 % (1326088)------------------------------
% 0.71/0.38 % (1326088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (1326088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (1326088)CaDiCaL version: 2.1.3
% 0.71/0.38 % (1326088)Termination reason: Instruction limit
% 0.71/0.38 % (1326088)Termination phase: shuffling
% 0.71/0.38 % (1326088)Time elapsed: 0.002 s
% 0.71/0.38 % (1326088)Peak memory usage: 10 MB
% 0.71/0.38 % (1326088)Instructions burned: 4 (million)
% 0.71/0.38 % (1326087)Instruction limit reached!
% 0.71/0.38 % (1326087)------------------------------
% 0.71/0.38 % (1326087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (1326087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (1326087)CaDiCaL version: 2.1.3
% 0.71/0.38 % (1326087)Termination reason: Instruction limit
% 0.71/0.38 % (1326087)Termination phase: Property scanning
% 0.71/0.38 % (1326087)Time elapsed: 0.008 s
% 0.71/0.38 % (1326087)Peak memory usage: 10 MB
% 0.71/0.38 % (1326087)Instructions burned: 19 (million)
% 0.71/0.38 % (1326091)Instruction limit reached!
% 0.71/0.38 % (1326091)------------------------------
% 0.71/0.38 % (1326091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (1326091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (1326091)CaDiCaL version: 2.1.3
% 0.71/0.38 % (1326091)Termination reason: Instruction limit
% 0.71/0.38 % (1326091)Termination phase: Saturation
% 0.71/0.38 % (1326091)Time elapsed: 0.019 s
% 0.71/0.38 % (1326091)Peak memory usage: 13 MB
% 0.71/0.38 % (1326091)Instructions burned: 78 (million)
% 0.71/0.38 % (1326090)Instruction limit reached!
% 0.71/0.38 % (1326090)------------------------------
% 0.71/0.38 % (1326090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (1326090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (1326090)CaDiCaL version: 2.1.3
% 0.71/0.38 % (1326090)Termination reason: Instruction limit
% 0.71/0.38 % (1326090)Termination phase: Preprocessing 3
% 0.71/0.38 % (1326090)Time elapsed: 0.012 s
% 0.71/0.38 % (1326090)Peak memory usage: 11 MB
% 0.71/0.38 % (1326090)Instructions burned: 25 (million)
% 0.71/0.38 % (1326102)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.38 % (1326102)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4260762805:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.71/0.42 % (1326100)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2543437188:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.42 % (1326102)Instruction limit reached!
% 0.71/0.42 % (1326102)------------------------------
% 0.71/0.42 % (1326102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1326102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1326102)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1326102)Termination reason: Instruction limit
% 0.71/0.42 % (1326102)Termination phase: shuffling
% 0.71/0.42 % (1326102)Time elapsed: 0.002 s
% 0.71/0.42 % (1326102)Peak memory usage: 10 MB
% 0.71/0.42 % (1326102)Instructions burned: 8 (million)
% 0.71/0.42 % (1326100)Instruction limit reached!
% 0.71/0.42 % (1326100)------------------------------
% 0.71/0.42 % (1326100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1326100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1326100)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1326100)Termination reason: Instruction limit
% 0.71/0.42 % (1326100)Termination phase: shuffling
% 0.71/0.42 % (1326100)Time elapsed: 0.002 s
% 0.71/0.42 % (1326100)Peak memory usage: 10 MB
% 0.71/0.42 % (1326100)Instructions burned: 5 (million)
% 0.71/0.42 % (1326101)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=976378308:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.71/0.42 % (1326101)Instruction limit reached!
% 0.71/0.42 % (1326101)------------------------------
% 0.71/0.42 % (1326101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1326101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1326101)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1326101)Termination reason: Instruction limit
% 0.71/0.42 % (1326101)Termination phase: shuffling
% 0.71/0.42 % (1326101)Time elapsed: 0.003 s
% 0.71/0.42 % (1326101)Peak memory usage: 10 MB
% 0.71/0.42 % (1326101)Instructions burned: 5 (million)
% 0.71/0.42 % (1326103)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3166129456:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.71/0.42 % (1326106)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
% 0.71/0.42 % (1326106)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.42 % (1326106)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1055763039:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.71/0.42 % (1326103)Instruction limit reached!
% 0.71/0.42 % (1326103)------------------------------
% 0.71/0.42 % (1326103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1326103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1326103)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1326103)Termination reason: Instruction limit
% 0.71/0.42 % (1326103)Termination phase: Property scanning
% 0.71/0.42 % (1326103)Time elapsed: 0.006 s
% 0.71/0.42 % (1326103)Peak memory usage: 10 MB
% 0.71/0.42 % (1326103)Instructions burned: 14 (million)
% 0.71/0.42 % (1326086)Instruction limit reached!
% 0.71/0.42 % (1326086)------------------------------
% 0.71/0.42 % (1326086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1326086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1326086)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1326086)Termination reason: Instruction limit
% 0.71/0.42 % (1326086)Termination phase: Saturation
% 0.71/0.42 % (1326086)Time elapsed: 0.041 s
% 0.71/0.42 % (1326086)Peak memory usage: 13 MB
% 0.71/0.42 % (1326086)Instructions burned: 89 (million)
% 0.71/0.42 % (1326106)Instruction limit reached!
% 0.71/0.42 % (1326106)------------------------------
% 0.71/0.42 % (1326106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1326106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1326106)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1326106)Termination reason: Instruction limit
% 0.71/0.45 % (1326106)Termination phase: Function definition elimination
% 0.71/0.45 % (1326106)Time elapsed: 0.008 s
% 0.71/0.45 % (1326106)Peak memory usage: 10 MB
% 0.71/0.45 % (1326106)Instructions burned: 37 (million)
% 0.71/0.45 % (1326110)lrs+10_1_si=on:cs=on:random_seed=852896547:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.71/0.45 % (1326113)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2524468347:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.71/0.45 % (1326110)Instruction limit reached!
% 0.71/0.45 % (1326110)------------------------------
% 0.71/0.45 % (1326110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.45 % (1326110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.45 % (1326110)CaDiCaL version: 2.1.3
% 0.71/0.45 % (1326110)Termination reason: Instruction limit
% 0.71/0.45 % (1326110)Termination phase: shuffling
% 0.71/0.45 % (1326110)Time elapsed: 0.004 s
% 0.71/0.45 % (1326110)Peak memory usage: 10 MB
% 0.71/0.45 % (1326110)Instructions burned: 9 (million)
% 0.71/0.45 % (1326107)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=4249788621:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.71/0.45 % (1326112)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.71/0.45 % (1326113)Instruction limit reached!
% 0.71/0.45 % (1326113)------------------------------
% 0.71/0.45 % (1326113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.45 % (1326113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.45 % (1326113)CaDiCaL version: 2.1.3
% 0.71/0.45 % (1326113)Termination reason: Instruction limit
% 0.71/0.45 % (1326113)Termination phase: Property scanning
% 0.71/0.45 % (1326113)Time elapsed: 0.010 s
% 0.71/0.45 % (1326113)Peak memory usage: 11 MB
% 0.71/0.45 % (1326113)Instructions burned: 40 (million)
% 0.71/0.45 % (1326092)Instruction limit reached!
% 0.71/0.45 % (1326092)------------------------------
% 0.71/0.45 % (1326092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.45 % (1326092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.45 % (1326092)CaDiCaL version: 2.1.3
% 0.71/0.45 % (1326092)Termination reason: Instruction limit
% 0.71/0.45 % (1326092)Termination phase: Saturation
% 0.71/0.45 % (1326092)Time elapsed: 0.068 s
% 0.71/0.45 % (1326092)Peak memory usage: 14 MB
% 0.71/0.45 % (1326092)Instructions burned: 158 (million)
% 0.71/0.45 % (1326112)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=1075362325:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.45 % (1326112)Instruction limit reached!
% 0.71/0.45 % (1326112)------------------------------
% 0.71/0.45 % (1326112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.45 % (1326112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.45 % (1326119)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2806807819:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.71/0.45 % (1326112)CaDiCaL version: 2.1.3
% 0.71/0.45 % (1326112)Termination reason: Instruction limit
% 0.71/0.45 % (1326112)Termination phase: shuffling
% 0.71/0.45 % (1326112)Time elapsed: 0.002 s
% 0.71/0.45 % (1326112)Peak memory usage: 9 MB
% 0.71/0.45 % (1326112)Instructions burned: 4 (million)
% 0.71/0.45 % (1326114)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1356845561:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.71/0.45 % (1326118)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2265311264:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.71/0.45 % (1326119)Instruction limit reached!
% 0.71/0.45 % (1326119)------------------------------
% 0.71/0.45 % (1326119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.45 % (1326119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.45 % (1326119)CaDiCaL version: 2.1.3
% 0.71/0.45 % (1326119)Termination reason: Instruction limit
% 0.71/0.45 % (1326119)Termination phase: Property scanning
% 1.51/0.53 % (1326119)Time elapsed: 0.004 s
% 1.51/0.53 % (1326119)Peak memory usage: 10 MB
% 1.51/0.53 % (1326119)Instructions burned: 18 (million)
% 1.51/0.53 % (1326120)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2447857329:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.51/0.53 % (1326126)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4192128090: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)
% 1.51/0.53 % (1326118)Instruction limit reached!
% 1.51/0.53 % (1326118)------------------------------
% 1.51/0.53 % (1326118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1326118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1326118)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1326118)Termination reason: Instruction limit
% 1.51/0.53 % (1326118)Termination phase: Preprocessing 3
% 1.51/0.53 % (1326118)Time elapsed: 0.013 s
% 1.51/0.53 % (1326118)Peak memory usage: 11 MB
% 1.51/0.53 % (1326118)Instructions burned: 26 (million)
% 1.51/0.53 % (1326126)Instruction limit reached!
% 1.51/0.53 % (1326126)------------------------------
% 1.51/0.53 % (1326126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1326126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1326126)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1326126)Termination reason: Instruction limit
% 1.51/0.53 % (1326126)Termination phase: shuffling
% 1.51/0.53 % (1326126)Time elapsed: 0.001 s
% 1.51/0.53 % (1326126)Peak memory usage: 10 MB
% 1.51/0.53 % (1326126)Instructions burned: 4 (million)
% 1.51/0.53 % (1326125)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=663074714:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.51/0.53 % (1326130)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3060470928:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.51/0.53 % (1326125)Instruction limit reached!
% 1.51/0.53 % (1326125)------------------------------
% 1.51/0.53 % (1326125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1326125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1326125)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1326125)Termination reason: Instruction limit
% 1.51/0.53 % (1326125)Termination phase: Property scanning
% 1.51/0.53 % (1326125)Time elapsed: 0.007 s
% 1.51/0.53 % (1326125)Peak memory usage: 10 MB
% 1.51/0.53 % (1326125)Instructions burned: 16 (million)
% 1.51/0.53 % (1326130)Instruction limit reached!
% 1.51/0.53 % (1326130)------------------------------
% 1.51/0.53 % (1326130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1326130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1326130)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1326130)Termination reason: Instruction limit
% 1.51/0.53 % (1326130)Termination phase: Preprocessing 3
% 1.51/0.53 % (1326130)Time elapsed: 0.005 s
% 1.51/0.53 % (1326130)Peak memory usage: 10 MB
% 1.51/0.53 % (1326130)Instructions burned: 23 (million)
% 1.51/0.53 % (1326129)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3009080623:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.51/0.53 % (1326134)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
% 1.51/0.53 % (1326134)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.51/0.53 % (1326134)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=3474728487:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.51/0.53 % (1326129)Instruction limit reached!
% 1.51/0.53 % (1326129)------------------------------
% 1.51/0.53 % (1326129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1326129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1326129)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1326129)Termination reason: Instruction limit
% 1.51/0.53 % (1326129)Termination phase: Property scanning
% 2.28/0.60 % (1326129)Time elapsed: 0.011 s
% 2.28/0.60 % (1326129)Peak memory usage: 10 MB
% 2.28/0.60 % (1326129)Instructions burned: 27 (million)
% 2.28/0.60 % (1326134)Instruction limit reached!
% 2.28/0.60 % (1326134)------------------------------
% 2.28/0.60 % (1326134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.60 % (1326134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.60 % (1326134)CaDiCaL version: 2.1.3
% 2.28/0.60 % (1326134)Termination reason: Instruction limit
% 2.28/0.60 % (1326134)Termination phase: Property scanning
% 2.28/0.60 % (1326134)Time elapsed: 0.004 s
% 2.28/0.60 % (1326134)Peak memory usage: 10 MB
% 2.28/0.60 % (1326134)Instructions burned: 18 (million)
% 2.28/0.60 % (1326133)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2248453967:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.28/0.60 % (1326107)Instruction limit reached!
% 2.28/0.60 % (1326107)------------------------------
% 2.28/0.60 % (1326107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.60 % (1326107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.60 % (1326107)CaDiCaL version: 2.1.3
% 2.28/0.60 % (1326107)Termination reason: Instruction limit
% 2.28/0.60 % (1326107)Termination phase: Saturation
% 2.28/0.60 % (1326107)Time elapsed: 0.071 s
% 2.28/0.60 % (1326107)Peak memory usage: 13 MB
% 2.28/0.60 % (1326107)Instructions burned: 86 (million)
% 2.28/0.60 % (1326137)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.28/0.60 % (1326137)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=3523727741:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.28/0.60 % (1326137)Instruction limit reached!
% 2.28/0.60 % (1326137)------------------------------
% 2.28/0.60 % (1326137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.60 % (1326137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.60 % (1326137)CaDiCaL version: 2.1.3
% 2.28/0.60 % (1326137)Termination reason: Instruction limit
% 2.28/0.60 % (1326137)Termination phase: shuffling
% 2.28/0.60 % (1326137)Time elapsed: 0.002 s
% 2.28/0.60 % (1326137)Peak memory usage: 10 MB
% 2.28/0.60 % (1326137)Instructions burned: 11 (million)
% 2.28/0.60 % (1326138)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=2790371409:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.28/0.60 % (1326140)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1499287363:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.28/0.60 % (1326142)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3571702263:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.28/0.60 % (1326140)Instruction limit reached!
% 2.28/0.60 % (1326140)------------------------------
% 2.28/0.60 % (1326140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.60 % (1326140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.60 % (1326140)CaDiCaL version: 2.1.3
% 2.28/0.60 % (1326140)Termination reason: Instruction limit
% 2.28/0.60 % (1326140)Termination phase: shuffling
% 2.28/0.60 % (1326140)Time elapsed: 0.004 s
% 2.28/0.60 % (1326140)Peak memory usage: 10 MB
% 2.28/0.60 % (1326140)Instructions burned: 9 (million)
% 2.28/0.60 % (1326133)Instruction limit reached!
% 2.28/0.60 % (1326133)------------------------------
% 2.28/0.60 % (1326133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.60 % (1326133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.60 % (1326133)CaDiCaL version: 2.1.3
% 2.28/0.60 % (1326133)Termination reason: Instruction limit
% 2.28/0.60 % (1326133)Termination phase: Saturation
% 2.28/0.60 % (1326133)Time elapsed: 0.028 s
% 2.28/0.60 % (1326133)Peak memory usage: 12 MB
% 2.28/0.60 % (1326133)Instructions burned: 61 (million)
% 2.28/0.60 % (1326142)Instruction limit reached!
% 2.28/0.60 % (1326142)------------------------------
% 2.28/0.60 % (1326142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.60 % (1326142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.66 % (1326142)CaDiCaL version: 2.1.3
% 2.48/0.66 % (1326142)Termination reason: Instruction limit
% 2.48/0.66 % (1326142)Termination phase: Property scanning
% 2.48/0.66 % (1326142)Time elapsed: 0.006 s
% 2.48/0.66 % (1326142)Peak memory usage: 10 MB
% 2.48/0.66 % (1326142)Instructions burned: 28 (million)
% 2.48/0.66 % (1326138)Instruction limit reached!
% 2.48/0.66 % (1326138)------------------------------
% 2.48/0.66 % (1326138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.66 % (1326138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.66 % (1326138)CaDiCaL version: 2.1.3
% 2.48/0.66 % (1326138)Termination reason: Instruction limit
% 2.48/0.66 % (1326138)Termination phase: Property scanning
% 2.48/0.66 % (1326138)Time elapsed: 0.013 s
% 2.48/0.66 % (1326138)Peak memory usage: 10 MB
% 2.48/0.66 % (1326138)Instructions burned: 32 (million)
% 2.48/0.66 % (1326147)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1682908185:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.48/0.66 % (1326146)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=691488898:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.48/0.66 % (1326148)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=660285587:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.48/0.66 % (1326149)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3159879217:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.48/0.66 % (1326146)Instruction limit reached!
% 2.48/0.66 % (1326146)------------------------------
% 2.48/0.66 % (1326146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.66 % (1326146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.66 % (1326146)CaDiCaL version: 2.1.3
% 2.48/0.66 % (1326146)Termination reason: Instruction limit
% 2.48/0.66 % (1326146)Termination phase: Property scanning
% 2.48/0.66 % (1326146)Time elapsed: 0.010 s
% 2.48/0.66 % (1326146)Peak memory usage: 10 MB
% 2.48/0.66 % (1326146)Instructions burned: 22 (million)
% 2.48/0.66 % (1326157)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2527407824:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.48/0.66 % (1326114)Instruction limit reached!
% 2.48/0.66 % (1326114)------------------------------
% 2.48/0.66 % (1326114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.66 % (1326114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.66 % (1326114)CaDiCaL version: 2.1.3
% 2.48/0.66 % (1326114)Termination reason: Instruction limit
% 2.48/0.66 % (1326114)Termination phase: Saturation
% 2.48/0.66 % (1326114)Time elapsed: 0.130 s
% 2.48/0.66 % (1326114)Peak memory usage: 14 MB
% 2.48/0.66 % (1326114)Instructions burned: 251 (million)
% 2.48/0.66 % (1326157)Instruction limit reached!
% 2.48/0.66 % (1326157)------------------------------
% 2.48/0.66 % (1326157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.66 % (1326157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.66 % (1326157)CaDiCaL version: 2.1.3
% 2.48/0.66 % (1326157)Termination reason: Instruction limit
% 2.48/0.66 % (1326157)Termination phase: Property scanning
% 2.48/0.66 % (1326157)Time elapsed: 0.018 s
% 2.48/0.66 % (1326157)Peak memory usage: 11 MB
% 2.48/0.66 % (1326157)Instructions burned: 43 (million)
% 2.48/0.66 % (1326168)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.48/0.66 % (1326168)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2077966339:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.48/0.66 % (1326168)Instruction limit reached!
% 2.48/0.66 % (1326168)------------------------------
% 2.48/0.66 % (1326168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.66 % (1326168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.66 % (1326168)CaDiCaL version: 2.1.3
% 2.48/0.66 % (1326168)Termination reason: Instruction limit
% 2.48/0.66 % (1326168)Termination phase: shuffling
% 2.48/0.66 % (1326168)Time elapsed: 0.004 s
% 2.48/0.66 % (1326168)Peak memory usage: 10 MB
% 2.48/0.66 % (1326168)Instructions burned: 9 (million)
% 2.68/0.77 % (1326148)Instruction limit reached!
% 2.68/0.77 % (1326148)------------------------------
% 2.68/0.77 % (1326148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.77 % (1326148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.77 % (1326148)CaDiCaL version: 2.1.3
% 2.68/0.77 % (1326148)Termination reason: Instruction limit
% 2.68/0.77 % (1326148)Termination phase: Saturation
% 2.68/0.77 % (1326148)Time elapsed: 0.060 s
% 2.68/0.77 % (1326148)Peak memory usage: 13 MB
% 2.68/0.77 % (1326148)Instructions burned: 145 (million)
% 2.68/0.77 % (1326171)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=839359272:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.68/0.77 % (1326178)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.68/0.77 % (1326176)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=1984307344: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)
% 2.68/0.77 % (1326178)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=631580230:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.68/0.77 % (1326178)Instruction limit reached!
% 2.68/0.77 % (1326178)------------------------------
% 2.68/0.77 % (1326178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.77 % (1326178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.77 % (1326178)CaDiCaL version: 2.1.3
% 2.68/0.77 % (1326178)Termination reason: Instruction limit
% 2.68/0.77 % (1326178)Termination phase: shuffling
% 2.68/0.77 % (1326178)Time elapsed: 0.003 s
% 2.68/0.77 % (1326178)Peak memory usage: 10 MB
% 2.68/0.77 % (1326178)Instructions burned: 7 (million)
% 2.68/0.77 % (1326149)Instruction limit reached!
% 2.68/0.77 % (1326149)------------------------------
% 2.68/0.77 % (1326149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.77 % (1326149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.77 % (1326149)CaDiCaL version: 2.1.3
% 2.68/0.77 % (1326149)Termination reason: Instruction limit
% 2.68/0.77 % (1326149)Termination phase: Saturation
% 2.68/0.77 % (1326149)Time elapsed: 0.098 s
% 2.68/0.77 % (1326149)Peak memory usage: 13 MB
% 2.68/0.77 % (1326149)Instructions burned: 195 (million)
% 2.68/0.77 % (1326189)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=658176225:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.68/0.77 % (1326189)Instruction limit reached!
% 2.68/0.77 % (1326189)------------------------------
% 2.68/0.77 % (1326189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.77 % (1326189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.77 % (1326189)CaDiCaL version: 2.1.3
% 2.68/0.77 % (1326189)Termination reason: Instruction limit
% 2.68/0.77 % (1326189)Termination phase: Property scanning
% 2.68/0.77 % (1326189)Time elapsed: 0.009 s
% 2.68/0.77 % (1326189)Peak memory usage: 10 MB
% 2.68/0.77 % (1326189)Instructions burned: 22 (million)
% 2.68/0.77 % (1326120)Instruction limit reached!
% 2.68/0.77 % (1326120)------------------------------
% 2.68/0.77 % (1326120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.77 % (1326120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.77 % (1326120)CaDiCaL version: 2.1.3
% 2.68/0.77 % (1326120)Termination reason: Instruction limit
% 2.68/0.77 % (1326120)Termination phase: Saturation
% 2.68/0.77 % (1326120)Time elapsed: 0.200 s
% 2.68/0.77 % (1326120)Peak memory usage: 14 MB
% 2.68/0.77 % (1326120)Instructions burned: 328 (million)
% 2.68/0.77 % (1326199)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1249676087:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.68/0.77 % (1326204)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=2104764323:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.68/0.77 % (1326199)Instruction limit reached!
% 2.68/0.77 % (1326199)------------------------------
% 2.68/0.77 % (1326199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (1326199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (1326199)CaDiCaL version: 2.1.3
% 2.68/0.78 % (1326199)Termination reason: Instruction limit
% 2.68/0.78 % (1326199)Termination phase: Property scanning
% 2.68/0.78 % (1326199)Time elapsed: 0.008 s
% 2.68/0.78 % (1326199)Peak memory usage: 10 MB
% 2.68/0.78 % (1326199)Instructions burned: 19 (million)
% 2.68/0.78 % (1326206)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=1747702844:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.68/0.78 % (1326171)Instruction limit reached!
% 2.68/0.78 % (1326171)------------------------------
% 2.68/0.78 % (1326171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (1326171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (1326171)CaDiCaL version: 2.1.3
% 2.68/0.78 % (1326171)Termination reason: Instruction limit
% 2.68/0.78 % (1326171)Termination phase: Saturation
% 2.68/0.78 % (1326171)Time elapsed: 0.085 s
% 2.68/0.78 % (1326171)Peak memory usage: 14 MB
% 2.68/0.78 % (1326171)Instructions burned: 181 (million)
% 2.68/0.78 % (1326216)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=2594914855: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)
% 2.68/0.78 % (1326176)Instruction limit reached!
% 2.68/0.78 % (1326176)------------------------------
% 2.68/0.78 % (1326176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (1326176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (1326176)CaDiCaL version: 2.1.3
% 2.68/0.78 % (1326176)Termination reason: Instruction limit
% 2.68/0.78 % (1326176)Termination phase: Saturation
% 2.68/0.78 % (1326176)Time elapsed: 0.075 s
% 2.68/0.78 % (1326176)Peak memory usage: 13 MB
% 2.68/0.78 % (1326176)Instructions burned: 169 (million)
% 2.68/0.78 % (1326228)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=934226193:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.68/0.78 % (1326232)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4103330867: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)
% 2.68/0.78 % (1326216)Instruction limit reached!
% 2.68/0.78 % (1326216)------------------------------
% 2.68/0.78 % (1326216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (1326216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (1326216)CaDiCaL version: 2.1.3
% 2.68/0.78 % (1326216)Termination reason: Instruction limit
% 2.68/0.78 % (1326216)Termination phase: Property scanning
% 2.68/0.78 % (1326216)Time elapsed: 0.021 s
% 2.68/0.78 % (1326216)Peak memory usage: 11 MB
% 2.68/0.78 % (1326216)Instructions burned: 45 (million)
% 2.68/0.78 % (1326232)Instruction limit reached!
% 2.68/0.78 % (1326232)------------------------------
% 2.68/0.78 % (1326232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (1326232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (1326232)CaDiCaL version: 2.1.3
% 2.68/0.78 % (1326232)Termination reason: Instruction limit
% 2.68/0.78 % (1326232)Termination phase: Property scanning
% 2.68/0.78 % (1326232)Time elapsed: 0.009 s
% 2.68/0.78 % (1326232)Peak memory usage: 10 MB
% 2.68/0.78 % (1326232)Instructions burned: 22 (million)
% 2.68/0.78 % (1326089)Instruction limit reached!
% 2.68/0.78 % (1326089)------------------------------
% 2.68/0.78 % (1326089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (1326089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (1326089)CaDiCaL version: 2.1.3
% 2.68/0.78 % (1326089)Termination reason: Instruction limit
% 2.68/0.78 % (1326089)Termination phase: Saturation
% 2.68/0.78 % (1326089)Time elapsed: 0.357 s
% 2.68/0.78 % (1326089)Peak memory usage: 18 MB
% 2.68/0.78 % (1326089)Instructions burned: 635 (million)
% 2.68/0.78 % (1326241)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.68/0.78 % (1326241)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=626124900:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.68/0.78 % (1326245)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3967986134:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 2.68/0.78 % (1326246)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=1596102943:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 2.68/0.78 % (1326245)Instruction limit reached!
% 2.68/0.78 % (1326245)------------------------------
% 2.68/0.78 % (1326245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (1326245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (1326245)CaDiCaL version: 2.1.3
% 2.68/0.78 % (1326245)Termination reason: Instruction limit
% 2.68/0.78 % (1326245)Termination phase: Property scanning
% 2.68/0.78 % (1326245)Time elapsed: 0.006 s
% 2.68/0.78 % (1326245)Peak memory usage: 10 MB
% 2.68/0.78 % (1326245)Instructions burned: 15 (million)
% 2.68/0.78 % (1326255)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1852155065:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 2.68/0.78 % (1326246)Instruction limit reached!
% 2.68/0.78 % (1326246)------------------------------
% 2.68/0.78 % (1326246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (1326246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (1326246)CaDiCaL version: 2.1.3
% 2.68/0.78 % (1326246)Termination reason: Instruction limit
% 2.68/0.78 % (1326246)Termination phase: Saturation
% 2.68/0.78 % (1326246)Time elapsed: 0.029 s
% 2.68/0.78 % (1326246)Peak memory usage: 12 MB
% 2.68/0.78 % (1326246)Instructions burned: 68 (million)
% 2.68/0.78 % (1326255)Instruction limit reached!
% 2.68/0.78 % (1326255)------------------------------
% 2.68/0.78 % (1326255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (1326255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (1326255)CaDiCaL version: 2.1.3
% 2.68/0.78 % (1326255)Termination reason: Instruction limit
% 2.68/0.78 % (1326255)Termination phase: Saturation
% 2.68/0.78 % (1326255)Time elapsed: 0.022 s
% 2.68/0.78 % (1326255)Peak memory usage: 12 MB
% 2.68/0.78 % (1326255)Instructions burned: 51 (million)
% 2.68/0.78 % (1326265)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=504601386:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 2.68/0.78 % (1326265)Instruction limit reached!
% 2.68/0.78 % (1326265)------------------------------
% 2.68/0.78 % (1326265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (1326265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (1326265)CaDiCaL version: 2.1.3
% 2.68/0.78 % (1326265)Termination reason: Instruction limit
% 2.68/0.78 % (1326265)Termination phase: Property scanning
% 2.68/0.78 % (1326265)Time elapsed: 0.013 s
% 2.68/0.78 % (1326265)Peak memory usage: 10 MB
% 2.68/0.78 % (1326265)Instructions burned: 31 (million)
% 2.68/0.78 % (1326270)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2106546004:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.68/0.78 % (1326204)Instruction limit reached!
% 2.68/0.78 % (1326204)------------------------------
% 2.68/0.78 % (1326204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (1326204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (1326204)CaDiCaL version: 2.1.3
% 2.68/0.78 % (1326204)Termination reason: Instruction limit
% 2.68/0.78 % (1326204)Termination phase: Saturation
% 2.68/0.78 % (1326204)Time elapsed: 0.153 s
% 2.68/0.78 % (1326204)Peak memory usage: 15 MB
% 2.68/0.78 % (1326204)Instructions burned: 316 (million)
% 2.68/0.78 % (1326272)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=3181081081:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.68/0.78 % (1326241)Instruction limit reached!
% 2.68/0.78 % (1326241)------------------------------
% 2.68/0.78 % (1326241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.79 % (1326241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.79 % (1326241)CaDiCaL version: 2.1.3
% 2.68/0.79 % (1326241)Termination reason: Instruction limit
% 2.68/0.79 % (1326241)Termination phase: Saturation
% 2.68/0.79 % (1326241)Time elapsed: 0.102 s
% 2.68/0.79 % (1326241)Peak memory usage: 13 MB
% 2.68/0.79 % (1326241)Instructions burned: 200 (million)
% 2.68/0.79 % (1326206) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1326081-1326206"...
% 2.68/0.79 % (1326285)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1354184783:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 2.68/0.79 % (1326206)...printing done.
% 2.68/0.79 % (1326272)Instruction limit reached!
% 2.68/0.79 % (1326272)------------------------------
% 2.68/0.79 % (1326272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.79 % (1326272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.79 % (1326272)CaDiCaL version: 2.1.3
% 2.68/0.79 % (1326272)Termination reason: Instruction limit
% 2.68/0.79 % (1326272)Termination phase: Function definition elimination
% 2.68/0.79 % (1326272)Time elapsed: 0.021 s
% 2.68/0.79 % (1326272)Peak memory usage: 10 MB
% 2.68/0.79 % (1326272)Instructions burned: 36 (million)
% 2.68/0.79 % (1326206)Refutation found. Thanks to Tanya!
% 2.68/0.79 % SZS status Theorem for theBenchmark
% 2.68/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/0.79 % (1326206)------------------------------
% 2.68/0.79 % (1326206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.79 % (1326206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.79 % (1326206)CaDiCaL version: 2.1.3
% 2.68/0.79 % (1326206)Termination reason: Refutation
% 2.68/0.79 % (1326206)Time elapsed: 0.174 s
% 2.68/0.79 % (1326206)Peak memory usage: 18 MB
% 2.68/0.79 % (1326206)Instructions burned: 319 (million)
% 2.68/0.79 % (1326081)Success in time 0.534 s
% 2.68/0.79 % Vampire exiting
%------------------------------------------------------------------------------