%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU629^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 08:30:24 AM UTC 2026
% Result : Theorem 1.50s 0.57s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 37 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 2476 ( 630 equ; 0 cnn)
% Maximal formula atoms : 148 ( 66 avg)
% Number of connectives : 1624 ( 10 ~; 9 |; 441 &; 526 @)
% ( 0 <=>; 613 =>; 0 <=; 0 <~>)
% Maximal formula depth : 158 ( 31 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 267 ( 263 usr; 153 con; 0-4 aty)
% ( 25 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 96 ( 37 ^; 51 !; 8 ?; 96 :)
% 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_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_164,type,
upairset2E: $o ).
thf(func_def_165,type,
upairsubunion: $o ).
thf(func_def_166,type,
upairinpowunion: $o ).
thf(func_def_167,type,
ubforcartprodlem1: $o ).
thf(func_def_168,type,
ubforcartprodlem2: $o ).
thf(func_def_169,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_170,type,
vIFF: $o > $o > $o ).
thf(func_def_171,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_172,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_173,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_174,type,
vOR: $o > $o > $o ).
thf(func_def_175,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_176,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_177,type,
vIMP: $o > $o > $o ).
thf(func_def_178,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_179,type,
vAND: $o > $o > $o ).
thf(func_def_180,type,
vNOT: $o > $o ).
thf(func_def_181,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_182,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_185,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_190,type,
sK4: $i > $i > $i ).
thf(func_def_191,type,
sK5: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_192,type,
sK6: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_193,type,
sK7: ( $i > $o ) > $i ).
thf(func_def_194,type,
sK8: ( $i > $o ) > $i > $i ).
thf(func_def_195,type,
sK9: ( $i > $o ) > $i > $i ).
thf(func_def_196,type,
sK10: ( $i > $o ) > $i ).
thf(func_def_197,type,
sK11: ( $i > $o ) > $i ).
thf(func_def_198,type,
sK12: ( $i > $o ) > $i ).
thf(func_def_199,type,
sK13: ( $i > $o ) > $i ).
thf(func_def_200,type,
sK14: $i > $i > $i ).
thf(func_def_201,type,
sK15: $i > $i ).
thf(func_def_202,type,
sK16: $i > $i > $i ).
thf(func_def_203,type,
sK17: $i > $i > $i ).
thf(func_def_204,type,
sK18: ( $i > $o ) > $i > $i ).
thf(func_def_205,type,
sK19: $i > $i > $o > $i ).
thf(func_def_206,type,
sK20: ( $i > $o ) > $i > $i ).
thf(func_def_207,type,
sK21: ( $i > $o ) > $i > $i ).
thf(func_def_208,type,
sK22: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_209,type,
sK23: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_210,type,
sK24: ( $i > $o ) > $i > $i ).
thf(func_def_211,type,
sK25: ( $i > $o ) > $i > $i ).
thf(func_def_212,type,
sK26: $i > $i > $i ).
thf(func_def_213,type,
sK27: $i > $i > $i ).
thf(func_def_214,type,
sK28: $i > $i > $i ).
thf(func_def_215,type,
sK29: ( $i > $o ) > $i ).
thf(func_def_216,type,
sK30: ( $i > $o ) > $i > $i ).
thf(func_def_217,type,
sK31: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_218,type,
sK32: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_219,type,
sK33: ( $i > $o ) > $i ).
thf(func_def_220,type,
sK34: ( $i > $o ) > $i > $i ).
thf(func_def_221,type,
sK35: ( $i > $o ) > $i > $i ).
thf(func_def_222,type,
sK36: ( $i > $o ) > $i ).
thf(func_def_223,type,
sK37: ( $i > $o ) > $i > $i ).
thf(func_def_224,type,
sK38: ( $i > $o ) > $i > $i ).
thf(func_def_225,type,
sK39: ( $i > $o ) > $i ).
thf(func_def_226,type,
sK40: ( $i > $o ) > $i > $i ).
thf(func_def_227,type,
sK41: ( $i > $o ) > $i > $i ).
thf(func_def_228,type,
sK42: ( $i > $o ) > $i ).
thf(func_def_229,type,
sK43: ( $i > $o ) > $i > $i ).
thf(func_def_230,type,
sK44: ( $i > $o ) > $i > $i ).
thf(func_def_231,type,
sK45: ( $i > $o ) > $i > $i ).
thf(func_def_232,type,
sK46: $i > $i ).
thf(func_def_233,type,
sK47: $i > $i > $i ).
thf(func_def_234,type,
sK48: $i > $i > $i ).
thf(func_def_235,type,
sK49: $i > $i > $i ).
thf(func_def_236,type,
sK50: $i > $i > $i > $i ).
thf(func_def_237,type,
sK51: $i > ( $i > $o ) > $i ).
thf(func_def_238,type,
sK52: $i > $i > $i ).
thf(func_def_239,type,
sK53: $i > $i > $i ).
thf(func_def_240,type,
sK54: $i > $i > $i ).
thf(func_def_241,type,
sK55: $i > $i ).
thf(func_def_242,type,
sK56: ( $i > $i > $o ) > $i > $i ).
thf(func_def_243,type,
sK57: ( $i > $i > $o ) > $i > $i ).
thf(func_def_244,type,
sK58: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_245,type,
sK59: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_246,type,
sK60: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_247,type,
sK61: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_248,type,
sK62: $i > $i ).
thf(func_def_249,type,
sK63: $i > $i ).
thf(func_def_250,type,
sK64: $i > ( $i > $o ) > $i ).
thf(func_def_251,type,
sK65: ( $i > $o ) > $i > $i ).
thf(func_def_252,type,
sK66: ( $i > $o ) > $i ).
thf(func_def_253,type,
sK67: ( $i > $o ) > $i > $i ).
thf(func_def_254,type,
sK68: $i > $i > $i ).
thf(func_def_255,type,
sK69: ( $i > $o ) > $i ).
thf(func_def_256,type,
sK70: ( $i > $o ) > $i > $i ).
thf(func_def_257,type,
sK71: $i > $i ).
thf(func_def_258,type,
sK72: $i > $i ).
thf(func_def_259,type,
sK73: ( $i > $o ) > $i > $i ).
thf(func_def_260,type,
sK74: $i > $i > $i ).
thf(func_def_261,type,
sK75: ( $i > $o ) > $i ).
thf(func_def_262,type,
sK76: ( $i > $o ) > $i > $i ).
thf(func_def_263,type,
sK77: ( $i > $o ) > $i > $i ).
thf(func_def_264,type,
sK78: $i > $i > $i ).
thf(func_def_265,type,
sK79: $i > ( $i > $o ) > $i ).
thf(f140,axiom,
( ( ^ [X0: $i,X1: $i] : ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
= kpair ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kpair) ).
thf(f150,axiom,
( ubforcartprodlem2
= ( ! [X1: $i,X0: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ubforcartprodlem2) ).
thf(f151,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
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ! [X0: $i,X2: $i,X1: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( kpair @ X2 @ X3 ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ubforcartprodlem3) ).
thf(f152,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
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ! [X0: $i,X2: $i,X1: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( kpair @ X2 @ X3 ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f151]) ).
thf(f209,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
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X2 )
=> ( in @ ( kpair @ X1 @ X3 ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f152]) ).
thf(f210,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 )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X2 )
= $true )
=> ( ( in @ ( kpair @ X1 @ X3 ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X2 ) ) ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f209]) ).
thf(f277,plain,
( kpair
= ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ),
inference(fool_elimination,[],[f140]) ).
thf(f417,plain,
( ubforcartprodlem2
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X1 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X1 @ X0 ) ) ) ) ) ) ) ),
inference(rectify,[],[f150]) ).
thf(f418,plain,
( ubforcartprodlem2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y2 )
=> ( in @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f417]) ).
thf(f445,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ X2 )
= $true )
& ( ( in @ ( kpair @ X1 @ X3 ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X2 ) ) ) )
!= $true ) )
& ( ( in @ X1 @ X0 )
= $true ) )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $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,[],[f210]) ).
thf(f446,plain,
( ( exuE1 = $true )
& ( symdiffIneg1 = $true )
& ( emptyE1 = $true )
& ( setminusILneg = $true )
& ( bs114d = $true )
& ( setadjoinIR = $true )
& ( setukpairIL = $true )
& ( emptyInPowerset = $true )
& ( vacuousDall = $true )
& ( setunionAx = $true )
& ( descr__Cong = $true )
& ( singletoninpowunion = $true )
& ( setunionI = $true )
& ( binintersectER = $true )
& ( upairset2IR = $true )
& ( exuI2 = $true )
& ( setminusEL = $true )
& ( singletonsswitch = $true )
& ( sepInPowerset = $true )
& ( subPowSU = $true )
& ( setadjoinSub2 = $true )
& ( setextsub = $true )
& ( eqimpsubset2 = $true )
& ( symdiffI2 = $true )
& ( setoftrueEq = $true )
& ( inCongP = $true )
& ( subsetRefl = $true )
& ( nonemptyImpWitness = $true )
& ( setadjoinE = $true )
& ( binintersectEL = $true )
& ( upairset2E = $true )
& ( notsubsetI = $true )
& ( setext = $true )
& ( dsetconstr__Cong = $true )
& ( subsetE2 = $true )
& ( binintersectSubset3 = $true )
& ( dsetconstrER = $true )
& ( emptysetimpfalse = $true )
& ( ubforcartprodlem1 = $true )
& ( dsetconstrEL = $true )
& ( notdexE = $true )
& ( setminusI = $true )
& ( notinsingleton = $true )
& ( inPowerset = $true )
& ( setadjoinSub = $true )
& ( quantDeMorgan4 = $true )
& ( exuE2 = $true )
& ( upairsetIL = $true )
& ( exuI1 = $true )
& ( powerset__Cong = $true )
& ( emptyI = $true )
& ( setminusELneg = $true )
& ( wellorderingAx = $true )
& ( binunionE = $true )
& ( ubforcartprodlem2 = $true )
& ( quantDeMorgan1 = $true )
& ( notequalI2 = $true )
& ( powersetI = $true )
& ( exu__Cong = $true )
& ( emptysetE = $true )
& ( exuE3e = $true )
& ( quantDeMorgan2 = $true )
& ( powersetI1 = $true )
& ( binunionLsub = $true )
& ( dsetconstrI = $true )
& ( binunionIL = $true )
& ( subsetI2 = $true )
& ( notinemptyset = $true )
& ( upairsubunion = $true )
& ( powersetE = $true )
& ( prop2setI = $true )
& ( binunionIR = $true )
& ( kpairiskpair = $true )
& ( quantDeMorgan3 = $true )
& ( omega__Cong = $true )
& ( setminusIRneg = $true )
& ( binunionEcases = $true )
& ( binintersectSubset1 = $true )
& ( binintersectRsub = $true )
& ( binunionRsub = $true )
& ( upairsetIR = $true )
& ( subsetTrans = $true )
& ( disjointsetsI1 = $true )
& ( eqimpsubset1 = $true )
& ( notequalI1 = $true )
& ( noeltsimpempty = $true )
& ( exuE3u = $true )
& ( exuI3 = $true )
& ( setminusERneg = $true )
& ( setadjoinAx = $true )
& ( setadjoinOr = $true )
& ( prop2setE = $true )
& ( subset2powerset = $true )
& ( subsetI1 = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ X2 )
= $true )
& ( ( in @ ( kpair @ X1 @ X3 ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X2 ) ) ) )
!= $true ) )
& ( ( in @ X1 @ X0 )
= $true ) )
& ( setextAx = $true )
& ( binintersectSubset4 = $true )
& ( foundationAx = $true )
& ( omegaIndAx = $true )
& ( emptysetsubset = $true )
& ( binintersectSubset5 = $true )
& ( subsetemptysetimpeq = $true )
& ( symdiffI1 = $true )
& ( upairinpowunion = $true )
& ( setadjoinIL = $true )
& ( setunion__Cong = $true )
& ( binintersectLsub = $true )
& ( symdiffE = $true )
& ( secondinupair = $true )
& ( exuEu = $true )
& ( setminusSubset1 = $true )
& ( upairsetE = $true )
& ( singletonsubset = $true )
& ( omegaSAx = $true )
& ( replAx = $true )
& ( singletoninpowerset = $true )
& ( setminusER = $true )
& ( setukpairIR = $true )
& ( setminusLsub = $true )
& ( emptyset__Cong = $true )
& ( setunionE = $true )
& ( setadjoin__Cong = $true )
& ( emptysetAx = $true )
& ( subsetE = $true )
& ( notdallE = $true )
& ( in__Cong = $true )
& ( powersetAx = $true )
& ( nonemptyE1 = $true )
& ( omega0Ax = $true )
& ( powersetsubset = $true )
& ( emptyinPowerset = $true )
& ( setminusSubset2 = $true )
& ( kpairp = $true )
& ( symdiffIneg2 = $true )
& ( powersetE1 = $true )
& ( sepSubset = $true )
& ( emptyinunitempty = $true )
& ( binintersectSubset2 = $true )
& ( prop2set2propI = $true )
& ( setbeta = $true )
& ( uniqinunit = $true )
& ( descrp = $true )
& ( nonemptyI = $true )
& ( eqinunit = $true )
& ( nonemptyI1 = $true )
& ( binintersectI = $true ) ),
inference(flattening,[],[f445]) ).
thf(f447,plain,
( ( exuE1 = $true )
& ( symdiffIneg1 = $true )
& ( emptyE1 = $true )
& ( setminusILneg = $true )
& ( bs114d = $true )
& ( setadjoinIR = $true )
& ( setukpairIL = $true )
& ( emptyInPowerset = $true )
& ( vacuousDall = $true )
& ( setunionAx = $true )
& ( descr__Cong = $true )
& ( singletoninpowunion = $true )
& ( setunionI = $true )
& ( binintersectER = $true )
& ( upairset2IR = $true )
& ( exuI2 = $true )
& ( setminusEL = $true )
& ( singletonsswitch = $true )
& ( sepInPowerset = $true )
& ( subPowSU = $true )
& ( setadjoinSub2 = $true )
& ( setextsub = $true )
& ( eqimpsubset2 = $true )
& ( symdiffI2 = $true )
& ( setoftrueEq = $true )
& ( inCongP = $true )
& ( subsetRefl = $true )
& ( nonemptyImpWitness = $true )
& ( setadjoinE = $true )
& ( binintersectEL = $true )
& ( upairset2E = $true )
& ( notsubsetI = $true )
& ( setext = $true )
& ( dsetconstr__Cong = $true )
& ( subsetE2 = $true )
& ( binintersectSubset3 = $true )
& ( dsetconstrER = $true )
& ( emptysetimpfalse = $true )
& ( ubforcartprodlem1 = $true )
& ( dsetconstrEL = $true )
& ( notdexE = $true )
& ( setminusI = $true )
& ( notinsingleton = $true )
& ( inPowerset = $true )
& ( setadjoinSub = $true )
& ( quantDeMorgan4 = $true )
& ( exuE2 = $true )
& ( upairsetIL = $true )
& ( exuI1 = $true )
& ( powerset__Cong = $true )
& ( emptyI = $true )
& ( setminusELneg = $true )
& ( wellorderingAx = $true )
& ( binunionE = $true )
& ( ubforcartprodlem2 = $true )
& ( quantDeMorgan1 = $true )
& ( notequalI2 = $true )
& ( powersetI = $true )
& ( exu__Cong = $true )
& ( emptysetE = $true )
& ( exuE3e = $true )
& ( quantDeMorgan2 = $true )
& ( powersetI1 = $true )
& ( binunionLsub = $true )
& ( dsetconstrI = $true )
& ( binunionIL = $true )
& ( subsetI2 = $true )
& ( notinemptyset = $true )
& ( upairsubunion = $true )
& ( powersetE = $true )
& ( prop2setI = $true )
& ( binunionIR = $true )
& ( kpairiskpair = $true )
& ( quantDeMorgan3 = $true )
& ( omega__Cong = $true )
& ( setminusIRneg = $true )
& ( binunionEcases = $true )
& ( binintersectSubset1 = $true )
& ( binintersectRsub = $true )
& ( binunionRsub = $true )
& ( upairsetIR = $true )
& ( subsetTrans = $true )
& ( disjointsetsI1 = $true )
& ( eqimpsubset1 = $true )
& ( notequalI1 = $true )
& ( noeltsimpempty = $true )
& ( exuE3u = $true )
& ( exuI3 = $true )
& ( setminusERneg = $true )
& ( setadjoinAx = $true )
& ( setadjoinOr = $true )
& ( prop2setE = $true )
& ( subset2powerset = $true )
& ( subsetI1 = $true )
& ( ( in @ sK3 @ sK2 )
= $true )
& ( ( in @ ( kpair @ sK1 @ sK3 ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK2 ) ) ) )
!= $true )
& ( ( in @ sK1 @ sK0 )
= $true )
& ( setextAx = $true )
& ( binintersectSubset4 = $true )
& ( foundationAx = $true )
& ( omegaIndAx = $true )
& ( emptysetsubset = $true )
& ( binintersectSubset5 = $true )
& ( subsetemptysetimpeq = $true )
& ( symdiffI1 = $true )
& ( upairinpowunion = $true )
& ( setadjoinIL = $true )
& ( setunion__Cong = $true )
& ( binintersectLsub = $true )
& ( symdiffE = $true )
& ( secondinupair = $true )
& ( exuEu = $true )
& ( setminusSubset1 = $true )
& ( upairsetE = $true )
& ( singletonsubset = $true )
& ( omegaSAx = $true )
& ( replAx = $true )
& ( singletoninpowerset = $true )
& ( setminusER = $true )
& ( setukpairIR = $true )
& ( setminusLsub = $true )
& ( emptyset__Cong = $true )
& ( setunionE = $true )
& ( setadjoin__Cong = $true )
& ( emptysetAx = $true )
& ( subsetE = $true )
& ( notdallE = $true )
& ( in__Cong = $true )
& ( powersetAx = $true )
& ( nonemptyE1 = $true )
& ( omega0Ax = $true )
& ( powersetsubset = $true )
& ( emptyinPowerset = $true )
& ( setminusSubset2 = $true )
& ( kpairp = $true )
& ( symdiffIneg2 = $true )
& ( powersetE1 = $true )
& ( sepSubset = $true )
& ( emptyinunitempty = $true )
& ( binintersectSubset2 = $true )
& ( prop2set2propI = $true )
& ( setbeta = $true )
& ( uniqinunit = $true )
& ( descrp = $true )
& ( nonemptyI = $true )
& ( eqinunit = $true )
& ( nonemptyI1 = $true )
& ( binintersectI = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f446]) ).
thf(f470,plain,
( kpair
= ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf_transformation,[],[f277]) ).
thf(f545,plain,
( ubforcartprodlem2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y2 )
=> ( in @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f418]) ).
thf(f622,plain,
( ( in @ sK1 @ sK0 )
= $true ),
inference(cnf_transformation,[],[f447]) ).
thf(f623,plain,
( ( in @ ( kpair @ sK1 @ sK3 ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK2 ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f447]) ).
thf(f624,plain,
( ( in @ sK3 @ sK2 )
= $true ),
inference(cnf_transformation,[],[f447]) ).
thf(f664,plain,
ubforcartprodlem2 = $true,
inference(cnf_transformation,[],[f447]) ).
thf(f841,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y2 )
=> ( in @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f545,f664]) ).
thf(f867,plain,
( $true
!= ( in
@ ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
@ sK1
@ sK3 )
@ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK2 ) ) ) ) ),
inference(definition_unfolding,[],[f623,f470]) ).
thf(f1140,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y2 )
=> ( in @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f841]) ).
thf(f1141,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1140]) ).
thf(f1142,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f1141]) ).
thf(f1143,plain,
! [X2: $i,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ X2 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X2 @ Y0 ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1142]) ).
thf(f1144,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( in @ X1 @ X2 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X2 @ Y0 ) ) ) ) ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f1143]) ).
thf(f1145,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ X2 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X3 )
=> ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X2 @ X3 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1144]) ).
thf(f1146,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X3 )
=> ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X2 @ X3 ) ) ) ) ) ) )
| ( ( in @ X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f1145]) ).
thf(f1147,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( ^ [Y0: $i] :
( ( in @ Y0 @ X3 )
=> ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X2 @ X3 ) ) ) ) )
@ X4 )
= $true )
| ( ( in @ X1 @ X2 )
= $false ) ),
inference(pi_proxy_clausification,[],[f1146]) ).
thf(f1148,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( ( in @ X4 @ X3 )
=> ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X2 @ X3 ) ) ) ) )
= $true )
| ( ( in @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f1147]) ).
thf(f1149,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X2 @ X3 ) ) ) ) )
| ( ( in @ X4 @ X3 )
= $false )
| ( ( in @ X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f1148]) ).
thf(f1621,plain,
( $true
!= ( in @ ( setadjoin @ ( setadjoin @ sK1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK1 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f867]) ).
thf(f4043,plain,
( ( $true != $true )
| ( ( in @ sK1 @ sK0 )
= $false )
| ( ( in @ sK3 @ sK2 )
= $false ) ),
inference(superposition,[],[f1621,f1149]) ).
thf(f4051,plain,
( ( ( in @ sK3 @ sK2 )
= $false )
| ( ( in @ sK1 @ sK0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f4043]) ).
thf(f4054,plain,
( ( $true = $false )
| ( ( in @ sK1 @ sK0 )
= $false ) ),
inference(forward_demodulation,[],[f4051,f624]) ).
thf(f4055,plain,
( ( in @ sK1 @ sK0 )
= $false ),
inference(trivial_inequality_removal,[],[f4054]) ).
thf(f4061,plain,
$true = $false,
inference(superposition,[],[f622,f4055]) ).
thf(f4065,plain,
$false,
inference(trivial_inequality_removal,[],[f4061]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU629^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:54:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.22/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.40 % (379003)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.71/0.40 % (379012)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=612454381:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.71/0.40 % (379012)Instruction limit reached!
% 0.71/0.40 % (379012)------------------------------
% 0.71/0.40 % (379012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (379012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (379012)CaDiCaL version: 2.1.3
% 0.71/0.40 % (379012)Termination reason: Instruction limit
% 0.71/0.40 % (379012)Termination phase: Preprocessing 3
% 0.71/0.40 % (379012)Time elapsed: 0.006 s
% 0.71/0.40 % (379012)Peak memory usage: 11 MB
% 0.71/0.40 % (379012)Instructions burned: 25 (million)
% 0.71/0.40 % (379008)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=484299975:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.71/0.40 % (379011)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=3708505262: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)
% 0.71/0.40 % (379010)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2799653135:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.71/0.40 % (379009)lrs+10_16_si=on:nwc=1.5:random_seed=4063266645:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.71/0.40 % (379010)Instruction limit reached!
% 0.71/0.40 % (379010)------------------------------
% 0.71/0.40 % (379010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (379010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (379010)CaDiCaL version: 2.1.3
% 0.71/0.40 % (379010)Termination reason: Instruction limit
% 0.71/0.40 % (379010)Termination phase: shuffling
% 0.71/0.40 % (379010)Time elapsed: 0.002 s
% 0.71/0.40 % (379010)Peak memory usage: 10 MB
% 0.71/0.40 % (379010)Instructions burned: 3 (million)
% 0.71/0.40 % (379014)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.71/0.40 % (379014)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
% 0.71/0.40 % (379009)Instruction limit reached!
% 0.71/0.40 % (379009)------------------------------
% 0.71/0.40 % (379009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (379009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (379009)CaDiCaL version: 2.1.3
% 0.71/0.40 % (379009)Termination reason: Instruction limit
% 0.71/0.40 % (379009)Termination phase: Property scanning
% 0.71/0.40 % (379009)Time elapsed: 0.009 s
% 0.71/0.40 % (379009)Peak memory usage: 10 MB
% 0.71/0.40 % (379009)Instructions burned: 20 (million)
% 0.71/0.40 % (379016)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2695500516:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.40 % (379016)Instruction limit reached!
% 0.71/0.40 % (379016)------------------------------
% 0.71/0.40 % (379016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (379016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (379016)CaDiCaL version: 2.1.3
% 0.71/0.40 % (379016)Termination reason: Instruction limit
% 0.71/0.40 % (379016)Termination phase: shuffling
% 0.71/0.40 % (379016)Time elapsed: 0.001 s
% 0.71/0.40 % (379016)Peak memory usage: 10 MB
% 0.71/0.40 % (379016)Instructions burned: 6 (million)
% 0.71/0.40 % (379013)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2877487394:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.71/0.40 % (379014)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=235794806:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.71/0.40 % (379021)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1488092123:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.71/0.40 % (379024)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1501460127:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.71/0.43 % (379023)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.43 % (379021)Instruction limit reached!
% 0.71/0.43 % (379021)------------------------------
% 0.71/0.43 % (379021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (379021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (379021)CaDiCaL version: 2.1.3
% 0.71/0.43 % (379021)Termination reason: Instruction limit
% 0.71/0.43 % (379021)Termination phase: shuffling
% 0.71/0.43 % (379021)Time elapsed: 0.003 s
% 0.71/0.43 % (379021)Peak memory usage: 10 MB
% 0.71/0.43 % (379021)Instructions burned: 6 (million)
% 0.71/0.43 % (379024)Instruction limit reached!
% 0.71/0.43 % (379024)------------------------------
% 0.71/0.43 % (379024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (379024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (379024)CaDiCaL version: 2.1.3
% 0.71/0.43 % (379024)Termination reason: Instruction limit
% 0.71/0.43 % (379024)Termination phase: shuffling
% 0.71/0.43 % (379024)Time elapsed: 0.003 s
% 0.71/0.43 % (379024)Peak memory usage: 10 MB
% 0.71/0.43 % (379024)Instructions burned: 12 (million)
% 0.71/0.43 % (379023)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=417387992:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.71/0.43 % (379029)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
% 0.71/0.43 % (379029)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.43 % (379029)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2059314228:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.71/0.43 % (379008)Instruction limit reached!
% 0.71/0.43 % (379008)------------------------------
% 0.71/0.43 % (379008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (379008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (379008)CaDiCaL version: 2.1.3
% 0.71/0.43 % (379008)Termination reason: Instruction limit
% 0.71/0.43 % (379008)Termination phase: Saturation
% 0.71/0.43 % (379008)Time elapsed: 0.040 s
% 0.71/0.43 % (379008)Peak memory usage: 13 MB
% 0.71/0.43 % (379008)Instructions burned: 88 (million)
% 0.71/0.43 % (379023)Instruction limit reached!
% 0.71/0.43 % (379023)------------------------------
% 0.71/0.43 % (379023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (379023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (379023)CaDiCaL version: 2.1.3
% 0.71/0.43 % (379023)Termination reason: Instruction limit
% 0.71/0.43 % (379023)Termination phase: shuffling
% 0.71/0.43 % (379023)Time elapsed: 0.008 s
% 0.71/0.43 % (379023)Peak memory usage: 10 MB
% 0.71/0.43 % (379023)Instructions burned: 9 (million)
% 0.71/0.43 % (379029)Instruction limit reached!
% 0.71/0.43 % (379029)------------------------------
% 0.71/0.43 % (379029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (379029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (379029)CaDiCaL version: 2.1.3
% 0.71/0.43 % (379029)Termination reason: Instruction limit
% 0.71/0.43 % (379029)Termination phase: Property scanning
% 0.71/0.43 % (379029)Time elapsed: 0.006 s
% 0.71/0.43 % (379029)Peak memory usage: 10 MB
% 0.71/0.43 % (379029)Instructions burned: 30 (million)
% 0.71/0.43 % (379030)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=2104818790:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.71/0.43 % (379034)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.71/0.43 % (379034)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=770537443:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.49 % (379033)lrs+10_1_si=on:cs=on:random_seed=3032770473:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.71/0.49 % (379034)Instruction limit reached!
% 0.71/0.49 % (379034)------------------------------
% 0.71/0.49 % (379034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.49 % (379034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (379034)CaDiCaL version: 2.1.3
% 0.71/0.49 % (379034)Termination reason: Instruction limit
% 0.71/0.49 % (379034)Termination phase: shuffling
% 0.71/0.49 % (379034)Time elapsed: 0.008 s
% 0.71/0.49 % (379034)Peak memory usage: 10 MB
% 0.71/0.49 % (379034)Instructions burned: 6 (million)
% 0.71/0.49 % (379036)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3116920348:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.71/0.49 % (379033)Instruction limit reached!
% 0.71/0.49 % (379033)------------------------------
% 0.71/0.49 % (379033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.49 % (379033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (379033)CaDiCaL version: 2.1.3
% 0.71/0.49 % (379033)Termination reason: Instruction limit
% 0.71/0.49 % (379033)Termination phase: Property scanning
% 0.71/0.49 % (379033)Time elapsed: 0.007 s
% 0.71/0.49 % (379033)Peak memory usage: 10 MB
% 0.71/0.49 % (379033)Instructions burned: 19 (million)
% 0.71/0.49 % (379013)Instruction limit reached!
% 0.71/0.49 % (379013)------------------------------
% 0.71/0.49 % (379013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.49 % (379013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (379013)CaDiCaL version: 2.1.3
% 0.71/0.49 % (379013)Termination reason: Instruction limit
% 0.71/0.49 % (379013)Termination phase: Property scanning
% 0.71/0.49 % (379013)Time elapsed: 0.063 s
% 0.71/0.49 % (379013)Peak memory usage: 12 MB
% 0.71/0.49 % (379013)Instructions burned: 75 (million)
% 0.71/0.49 % (379041)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=330327430:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.71/0.49 % (379030)Instruction limit reached!
% 0.71/0.49 % (379030)------------------------------
% 0.71/0.49 % (379030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.49 % (379030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (379030)CaDiCaL version: 2.1.3
% 0.71/0.49 % (379030)Termination reason: Instruction limit
% 0.71/0.49 % (379030)Termination phase: Saturation
% 0.71/0.49 % (379030)Time elapsed: 0.037 s
% 0.71/0.49 % (379030)Peak memory usage: 13 MB
% 0.71/0.49 % (379030)Instructions burned: 86 (million)
% 0.71/0.49 % (379036)Instruction limit reached!
% 0.71/0.49 % (379036)------------------------------
% 0.71/0.49 % (379036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.49 % (379036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (379036)CaDiCaL version: 2.1.3
% 0.71/0.49 % (379036)Termination reason: Instruction limit
% 0.71/0.49 % (379036)Termination phase: Preprocessing 3
% 0.71/0.49 % (379036)Time elapsed: 0.019 s
% 0.71/0.49 % (379036)Peak memory usage: 11 MB
% 0.71/0.49 % (379036)Instructions burned: 39 (million)
% 0.71/0.49 % (379041)Instruction limit reached!
% 0.71/0.49 % (379041)------------------------------
% 0.71/0.49 % (379041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.49 % (379041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (379041)CaDiCaL version: 2.1.3
% 0.71/0.49 % (379041)Termination reason: Instruction limit
% 0.71/0.49 % (379041)Termination phase: Preprocessing 3
% 0.71/0.49 % (379041)Time elapsed: 0.006 s
% 0.71/0.49 % (379041)Peak memory usage: 11 MB
% 0.71/0.49 % (379041)Instructions burned: 25 (million)
% 0.71/0.49 % (379039)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2290528317:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.71/0.49 % (379046)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1458905069: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)
% 0.71/0.49 % (379042)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1547259223:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.50/0.57 % (379046)Instruction limit reached!
% 1.50/0.57 % (379046)------------------------------
% 1.50/0.57 % (379046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379046)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379046)Termination reason: Instruction limit
% 1.50/0.57 % (379046)Termination phase: shuffling
% 1.50/0.57 % (379046)Time elapsed: 0.001 s
% 1.50/0.57 % (379046)Peak memory usage: 10 MB
% 1.50/0.57 % (379046)Instructions burned: 3 (million)
% 1.50/0.57 % (379044)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=200008278:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.50/0.57 % (379045)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1208186574:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.50/0.57 % (379042)Instruction limit reached!
% 1.50/0.57 % (379042)------------------------------
% 1.50/0.57 % (379042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379042)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379042)Termination reason: Instruction limit
% 1.50/0.57 % (379042)Termination phase: shuffling
% 1.50/0.57 % (379042)Time elapsed: 0.007 s
% 1.50/0.57 % (379042)Peak memory usage: 10 MB
% 1.50/0.57 % (379042)Instructions burned: 16 (million)
% 1.50/0.57 % (379050)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4291055917:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.50/0.57 % (379045)Instruction limit reached!
% 1.50/0.57 % (379045)------------------------------
% 1.50/0.57 % (379045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379045)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379045)Termination reason: Instruction limit
% 1.50/0.57 % (379045)Termination phase: shuffling
% 1.50/0.57 % (379045)Time elapsed: 0.006 s
% 1.50/0.57 % (379045)Peak memory usage: 10 MB
% 1.50/0.57 % (379045)Instructions burned: 14 (million)
% 1.50/0.57 % (379050)Instruction limit reached!
% 1.50/0.57 % (379050)------------------------------
% 1.50/0.57 % (379050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379050)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379050)Termination reason: Instruction limit
% 1.50/0.57 % (379050)Termination phase: Property scanning
% 1.50/0.57 % (379050)Time elapsed: 0.006 s
% 1.50/0.57 % (379050)Peak memory usage: 10 MB
% 1.50/0.57 % (379050)Instructions burned: 27 (million)
% 1.50/0.57 % (379056)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
% 1.50/0.57 % (379056)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.50/0.57 % (379053)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3751146421:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.50/0.57 % (379056)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=2793008097:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.50/0.57 % (379056)Instruction limit reached!
% 1.50/0.57 % (379056)------------------------------
% 1.50/0.57 % (379056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379056)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379056)Termination reason: Instruction limit
% 1.50/0.57 % (379056)Termination phase: shuffling
% 1.50/0.57 % (379056)Time elapsed: 0.003 s
% 1.50/0.57 % (379056)Peak memory usage: 10 MB
% 1.50/0.57 % (379056)Instructions burned: 16 (million)
% 1.50/0.57 % (379055)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3915321037:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.50/0.57 % (379053)Instruction limit reached!
% 1.50/0.57 % (379053)------------------------------
% 1.50/0.57 % (379053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379053)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379053)Termination reason: Instruction limit
% 1.50/0.57 % (379053)Termination phase: Property scanning
% 1.50/0.57 % (379053)Time elapsed: 0.012 s
% 1.50/0.57 % (379053)Peak memory usage: 10 MB
% 1.50/0.57 % (379053)Instructions burned: 24 (million)
% 1.50/0.57 % (379059)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.50/0.57 % (379059)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=3430938802:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.50/0.57 % (379059)Instruction limit reached!
% 1.50/0.57 % (379059)------------------------------
% 1.50/0.57 % (379059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379059)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379059)Termination reason: Instruction limit
% 1.50/0.57 % (379059)Termination phase: shuffling
% 1.50/0.57 % (379059)Time elapsed: 0.002 s
% 1.50/0.57 % (379059)Peak memory usage: 10 MB
% 1.50/0.57 % (379059)Instructions burned: 9 (million)
% 1.50/0.57 % (379014)Instruction limit reached!
% 1.50/0.57 % (379014)------------------------------
% 1.50/0.57 % (379014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379014)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379014)Termination reason: Instruction limit
% 1.50/0.57 % (379014)Termination phase: Saturation
% 1.50/0.57 % (379014)Time elapsed: 0.129 s
% 1.50/0.57 % (379014)Peak memory usage: 14 MB
% 1.50/0.57 % (379014)Instructions burned: 159 (million)
% 1.50/0.57 % (379063)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2315355871:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.50/0.57 % (379063)Instruction limit reached!
% 1.50/0.57 % (379063)------------------------------
% 1.50/0.57 % (379063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379063)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379063)Termination reason: Instruction limit
% 1.50/0.57 % (379063)Termination phase: shuffling
% 1.50/0.57 % (379063)Time elapsed: 0.002 s
% 1.50/0.57 % (379063)Peak memory usage: 10 MB
% 1.50/0.57 % (379063)Instructions burned: 9 (million)
% 1.50/0.57 % (379066)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=753838177:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.50/0.57 % (379055)Instruction limit reached!
% 1.50/0.57 % (379055)------------------------------
% 1.50/0.57 % (379055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379055)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379055)Termination reason: Instruction limit
% 1.50/0.57 % (379055)Termination phase: Property scanning
% 1.50/0.57 % (379055)Time elapsed: 0.040 s
% 1.50/0.57 % (379055)Peak memory usage: 12 MB
% 1.50/0.57 % (379055)Instructions burned: 60 (million)
% 1.50/0.57 % (379061)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=3692832452:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.50/0.57 % (379066)Instruction limit reached!
% 1.50/0.57 % (379066)------------------------------
% 1.50/0.57 % (379066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379066)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379066)Termination reason: Instruction limit
% 1.50/0.57 % (379066)Termination phase: Property scanning
% 1.50/0.57 % (379066)Time elapsed: 0.005 s
% 1.50/0.57 % (379066)Peak memory usage: 10 MB
% 1.50/0.57 % (379066)Instructions burned: 21 (million)
% 1.50/0.57 % (379064)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3016266526:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.50/0.57 % (379069)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3150321833:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.50/0.57 % (379070)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3745744619:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.50/0.57 % (379061)Instruction limit reached!
% 1.50/0.57 % (379061)------------------------------
% 1.50/0.57 % (379061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379061)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379061)Termination reason: Instruction limit
% 1.50/0.57 % (379061)Termination phase: Property scanning
% 1.50/0.57 % (379061)Time elapsed: 0.026 s
% 1.50/0.57 % (379061)Peak memory usage: 10 MB
% 1.50/0.57 % (379061)Instructions burned: 32 (million)
% 1.50/0.57 % (379064)Instruction limit reached!
% 1.50/0.57 % (379064)------------------------------
% 1.50/0.57 % (379064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379064)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379064)Termination reason: Instruction limit
% 1.50/0.57 % (379064)Termination phase: Property scanning
% 1.50/0.57 % (379064)Time elapsed: 0.020 s
% 1.50/0.57 % (379064)Peak memory usage: 10 MB
% 1.50/0.57 % (379064)Instructions burned: 24 (million)
% 1.50/0.57 % (379075)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2888295926:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.50/0.57 % (379074)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2473087494:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.50/0.57 % (379075)Instruction limit reached!
% 1.50/0.57 % (379075)------------------------------
% 1.50/0.57 % (379075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379075)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379075)Termination reason: Instruction limit
% 1.50/0.57 % (379075)Termination phase: Property scanning
% 1.50/0.57 % (379075)Time elapsed: 0.018 s
% 1.50/0.57 % (379075)Peak memory usage: 11 MB
% 1.50/0.57 % (379075)Instructions burned: 42 (million)
% 1.50/0.57 % (379078)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.50/0.57 % (379078)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2356278523:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.50/0.57 % (379044) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-379003-379044"...
% 1.50/0.57 % (379078)Instruction limit reached!
% 1.50/0.57 % (379078)------------------------------
% 1.50/0.57 % (379078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (379078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (379078)CaDiCaL version: 2.1.3
% 1.50/0.57 % (379078)Termination reason: Instruction limit
% 1.50/0.57 % (379078)Termination phase: shuffling
% 1.50/0.57 % (379078)Time elapsed: 0.004 s
% 1.50/0.57 % (379078)Peak memory usage: 10 MB
% 1.50/0.57 % (379078)Instructions burned: 8 (million)
% 1.50/0.57 % (379044)...printing done.
% 1.50/0.57 % (379044)Refutation found. Thanks to Tanya!
% 1.50/0.57 % SZS status Theorem for theBenchmark
% 1.50/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.58 % (379044)------------------------------
% 1.50/0.58 % (379044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.58 % (379044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.58 % (379044)CaDiCaL version: 2.1.3
% 1.50/0.58 % (379044)Termination reason: Refutation
% 1.50/0.58 % (379044)Time elapsed: 0.162 s
% 1.50/0.58 % (379044)Peak memory usage: 14 MB
% 1.50/0.58 % (379044)Instructions burned: 284 (million)
% 1.50/0.58 % (379003)Success in time 0.302 s
% 1.50/0.58 % Vampire exiting
%------------------------------------------------------------------------------