%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU654^1 : 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 : n001.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 08:30:32 AM UTC 2026
% Result : Theorem 9.15s 2.11s
% Output : Refutation 9.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 51 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 2981 ( 801 equ; 0 cnn)
% Maximal formula atoms : 172 ( 58 avg)
% Number of connectives : 2100 ( 9 ~; 6 |; 513 &; 814 @)
% ( 0 <=>; 710 =>; 0 <=; 0 <~>)
% Maximal formula depth : 177 ( 27 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 275 ( 271 usr; 178 con; 0-4 aty)
% ( 48 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 178 ( 74 ^; 96 !; 8 ?; 178 :)
% 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,
ubforcartprodlem3: $o ).
thf(func_def_170,type,
cartprodpairin: $o ).
thf(func_def_171,type,
cartprodmempair1: $o ).
thf(func_def_172,type,
cartprodmempair: $o ).
thf(func_def_173,type,
setunionE2: $o ).
thf(func_def_174,type,
setunionsingleton1: $o ).
thf(func_def_175,type,
setunionsingleton2: $o ).
thf(func_def_176,type,
setunionsingleton: $o ).
thf(func_def_177,type,
singleton: $i > $o ).
thf(func_def_178,type,
singletonprop: $o ).
thf(func_def_179,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_180,type,
ex1E1: $o ).
thf(func_def_181,type,
ex1I: $o ).
thf(func_def_182,type,
ex1I2: $o ).
thf(func_def_183,type,
singletonsuniq: $o ).
thf(func_def_184,type,
atmost1p: $i > $o ).
thf(func_def_185,type,
atleast2p: $i > $o ).
thf(func_def_186,type,
atmost2p: $i > $o ).
thf(func_def_187,type,
upairsetp: $i > $o ).
thf(func_def_188,type,
setukpairinjL1: $o ).
thf(func_def_189,type,
kfstsingleton: $o ).
thf(func_def_190,type,
theprop: $o ).
thf(func_def_191,type,
kfst: $i > $i ).
thf(func_def_192,type,
kfstpairEq: $o ).
thf(func_def_193,type,
cartprodfstin: $o ).
thf(func_def_194,type,
setukpairinjL2: $o ).
thf(func_def_195,type,
setukpairinjL: $o ).
thf(func_def_196,type,
setukpairinjR11: $o ).
thf(func_def_197,type,
setukpairinjR12: $o ).
thf(func_def_198,type,
setukpairinjR1: $o ).
thf(func_def_199,type,
upairequniteq: $o ).
thf(func_def_200,type,
setukpairinjR2: $o ).
thf(func_def_201,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_202,type,
vIFF: $o > $o > $o ).
thf(func_def_203,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_204,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_205,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_206,type,
vOR: $o > $o > $o ).
thf(func_def_207,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_208,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_209,type,
vIMP: $o > $o > $o ).
thf(func_def_210,type,
vNOT: $o > $o ).
thf(func_def_211,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_212,type,
vAND: $o > $o > $o ).
thf(func_def_213,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_216,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_221,type,
sK4: $i > $i > $i ).
thf(func_def_222,type,
sK5: $i > $i ).
thf(func_def_223,type,
sK6: ( $i > $o ) > $i ).
thf(func_def_224,type,
sK7: ( $i > $o ) > $i ).
thf(func_def_225,type,
sK8: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_226,type,
sK9: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_227,type,
sK10: $i > ( $i > $i > $o ) > $i ).
thf(func_def_228,type,
sK11: $i > ( $i > $i > $o ) > $i ).
thf(func_def_229,type,
sK12: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_230,type,
sK13: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_231,type,
sK14: $i > $i ).
thf(func_def_232,type,
sK15: $i > $i > $i ).
thf(func_def_233,type,
sK16: ( $i > $o ) > $i > $i ).
thf(func_def_234,type,
sK17: $i > ( $i > $o ) > $i ).
thf(func_def_235,type,
sK18: $i > $i > $i ).
thf(func_def_236,type,
sK19: $i > $i ).
thf(func_def_237,type,
sK20: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_238,type,
sK21: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_239,type,
sK22: $i > ( $i > $o ) > $i ).
thf(func_def_240,type,
sK23: $i > ( $i > $o ) > $i ).
thf(func_def_241,type,
sK24: ( $i > $o ) > $i > $i ).
thf(func_def_242,type,
sK25: ( $i > $o ) > $i > $i ).
thf(func_def_243,type,
sK26: $i > $i > $i ).
thf(func_def_244,type,
sK27: ( $i > $o ) > $i ).
thf(func_def_245,type,
sK28: ( $i > $o ) > $i > $i ).
thf(func_def_246,type,
sK29: $i > $i > $i > $i ).
thf(func_def_247,type,
sK30: $i > $i > $i > $i ).
thf(func_def_248,type,
sK31: $o > $i > $i > $i ).
thf(func_def_249,type,
sK32: $i > $i ).
thf(func_def_250,type,
sK33: $i > $i > $i ).
thf(func_def_251,type,
sK34: $i > $i > $i ).
thf(func_def_252,type,
sK35: $i > $i > $i ).
thf(func_def_253,type,
sK36: ( $i > $o ) > $i > $i ).
thf(func_def_254,type,
sK37: ( $i > $o ) > $i > $i ).
thf(func_def_255,type,
sK38: ( $i > $o ) > $i ).
thf(func_def_256,type,
sK39: $i > ( $i > $o ) > $i ).
thf(func_def_257,type,
sK40: $i > $i ).
thf(func_def_258,type,
sK41: $i > $i > $i ).
thf(func_def_259,type,
sK42: ( $i > $o ) > $i > $i ).
thf(func_def_260,type,
sK43: ( $i > $o ) > $i > $i > $i ).
thf(func_def_261,type,
sK44: $i > $i > $i ).
thf(func_def_262,type,
sK45: ( $i > $o ) > $i > $i ).
thf(func_def_263,type,
sK46: ( $i > $o ) > $i ).
thf(func_def_264,type,
sK47: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_265,type,
sK48: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_266,type,
sK49: $i > $i > $i ).
thf(func_def_267,type,
sK50: $i > $i ).
thf(func_def_268,type,
sK51: $i > $i ).
thf(func_def_269,type,
sK52: $i > $i > $i > $i ).
thf(func_def_270,type,
sK53: $i > $i > $i ).
thf(func_def_271,type,
sK54: $i > $i > $i ).
thf(func_def_272,type,
sK55: $i > $i > $i ).
thf(func_def_273,type,
sK56: ( $i > $o ) > $i > $i ).
thf(f140,axiom,
( kpair
= ( ^ [X0: $i,X1: $i] : ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kpair) ).
thf(f171,axiom,
( setukpairinjL
= ( ! [X3: $i,X1: $i,X2: $i,X0: $i] :
( ( ( kpair @ X0 @ X1 )
= ( kpair @ X2 @ X3 ) )
=> ( X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setukpairinjL) ).
thf(f176,axiom,
! [X1: $i,X3: $i,X2: $i,X0: $i] :
( ( ( ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) )
=> ( X1 = X3 ) )
= setukpairinjR2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setukpairinjR2) ).
thf(f177,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
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ! [X2: $i,X1: $i,X3: $i,X0: $i] :
( ( ( kpair @ X0 @ X1 )
= ( kpair @ X2 @ X3 ) )
=> ( X1 = X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setukpairinjR) ).
thf(f178,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
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ! [X2: $i,X1: $i,X3: $i,X0: $i] :
( ( ( kpair @ X0 @ X1 )
= ( kpair @ X2 @ X3 ) )
=> ( X1 = X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f177]) ).
thf(f237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
=> ( X0 = X1 ) )
= setukpairinjR2 ),
inference(rectify,[],[f176]) ).
thf(f238,plain,
( setukpairinjR2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f237]) ).
thf(f272,plain,
( setukpairinjL
= ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( kpair @ X3 @ X1 )
= ( kpair @ X2 @ X0 ) )
=> ( X2 = X3 ) ) ) ),
inference(rectify,[],[f171]) ).
thf(f273,plain,
( setukpairinjL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y2 )
= ( kpair @ Y1 @ Y3 ) )
=> ( Y1 = Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f272]) ).
thf(f274,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
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( kpair @ X0 @ X2 )
= ( kpair @ X3 @ X1 ) )
=> ( X1 = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f178]) ).
thf(f275,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 )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ! [X3: $i,X1: $i,X0: $i,X2: $i] :
( ( ( kpair @ X0 @ X2 )
= ( kpair @ X3 @ X1 ) )
=> ( X1 = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f274]) ).
thf(f333,plain,
( kpair
= ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ),
inference(fool_elimination,[],[f140]) ).
thf(f520,plain,
( ? [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X2 )
& ( ( kpair @ X0 @ X2 )
= ( kpair @ X3 @ X1 ) ) )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $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,[],[f275]) ).
thf(f521,plain,
( ( emptyI = $true )
& ( binintersectEL = $true )
& ( binintersectI = $true )
& ( binintersectLsub = $true )
& ( setadjoinIR = $true )
& ( setunionE2 = $true )
& ( singletoninpowunion = $true )
& ( notdallE = $true )
& ( nonemptyI1 = $true )
& ( exuI3 = $true )
& ( eqimpsubset2 = $true )
& ( exuE2 = $true )
& ( binunionRsub = $true )
& ( theprop = $true )
& ( setukpairinjR2 = $true )
& ( singletonsswitch = $true )
& ( subset2powerset = $true )
& ( binintersectSubset2 = $true )
& ( cartprodmempair = $true )
& ( setminusILneg = $true )
& ( upairequniteq = $true )
& ( singletonsuniq = $true )
& ( upairsetE = $true )
& ( foundationAx = $true )
& ( binintersectSubset1 = $true )
& ( exuI2 = $true )
& ( setadjoin__Cong = $true )
& ( upairset2E = $true )
& ( setadjoinE = $true )
& ( exuE1 = $true )
& ( prop2setE = $true )
& ( binunionEcases = $true )
& ( singletonprop = $true )
& ( setminusSubset1 = $true )
& ( symdiffIneg1 = $true )
& ( subsetI2 = $true )
& ( wellorderingAx = $true )
& ( powersetAx = $true )
& ( setunionI = $true )
& ( emptysetsubset = $true )
& ( inCongP = $true )
& ( setadjoinIL = $true )
& ( inPowerset = $true )
& ( subPowSU = $true )
& ( nonemptyI = $true )
& ( setminusEL = $true )
& ( notequalI1 = $true )
& ( notinsingleton = $true )
& ( kpairiskpair = $true )
& ( sepSubset = $true )
& ( nonemptyImpWitness = $true )
& ( emptyinPowerset = $true )
& ( upairsetIL = $true )
& ( emptysetimpfalse = $true )
& ( vacuousDall = $true )
& ( setextAx = $true )
& ( upairsetIR = $true )
& ( quantDeMorgan2 = $true )
& ( symdiffI1 = $true )
& ( notdexE = $true )
& ( binunionLsub = $true )
& ( setunionsingleton1 = $true )
& ( disjointsetsI1 = $true )
& ( subsetE = $true )
& ( dsetconstrEL = $true )
& ( cartprodmempair1 = $true )
& ( setminusI = $true )
& ( setadjoinOr = $true )
& ( replAx = $true )
& ( exu__Cong = $true )
& ( subsetE2 = $true )
& ( setunionsingleton2 = $true )
& ( noeltsimpempty = $true )
& ( setukpairIL = $true )
& ( singletoninpowerset = $true )
& ( setoftrueEq = $true )
& ( omegaSAx = $true )
& ( setukpairIR = $true )
& ( binintersectSubset4 = $true )
& ( nonemptyE1 = $true )
& ( ubforcartprodlem1 = $true )
& ( eqimpsubset1 = $true )
& ( binintersectER = $true )
& ( setminusSubset2 = $true )
& ( binunionIR = $true )
& ( kfstsingleton = $true )
& ( singletonsubset = $true )
& ( quantDeMorgan3 = $true )
& ? [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X2 )
& ( ( kpair @ X0 @ X2 )
= ( kpair @ X3 @ X1 ) ) )
& ( notsubsetI = $true )
& ( omegaIndAx = $true )
& ( symdiffIneg2 = $true )
& ( ubforcartprodlem3 = $true )
& ( subsetRefl = $true )
& ( setukpairinjR1 = $true )
& ( symdiffE = $true )
& ( upairset2IR = $true )
& ( setukpairinjL = $true )
& ( emptysetE = $true )
& ( setukpairinjL1 = $true )
& ( symdiffI2 = $true )
& ( setextsub = $true )
& ( uniqinunit = $true )
& ( binintersectSubset5 = $true )
& ( dsetconstrI = $true )
& ( powersetE1 = $true )
& ( cartprodfstin = $true )
& ( dsetconstrER = $true )
& ( setunionE = $true )
& ( in__Cong = $true )
& ( descr__Cong = $true )
& ( emptyE1 = $true )
& ( kfstpairEq = $true )
& ( setminusELneg = $true )
& ( secondinupair = $true )
& ( powersetI1 = $true )
& ( kpairp = $true )
& ( setukpairinjR12 = $true )
& ( eqinunit = $true )
& ( prop2setI = $true )
& ( setminusIRneg = $true )
& ( prop2set2propI = $true )
& ( exuEu = $true )
& ( notinemptyset = $true )
& ( emptyinunitempty = $true )
& ( emptyInPowerset = $true )
& ( quantDeMorgan1 = $true )
& ( setunionsingleton = $true )
& ( descrp = $true )
& ( ex1I = $true )
& ( dsetconstr__Cong = $true )
& ( setadjoinAx = $true )
& ( ubforcartprodlem2 = $true )
& ( subsetemptysetimpeq = $true )
& ( setminusER = $true )
& ( setminusLsub = $true )
& ( exuE3e = $true )
& ( setbeta = $true )
& ( omega__Cong = $true )
& ( setext = $true )
& ( emptysetAx = $true )
& ( quantDeMorgan4 = $true )
& ( setunionAx = $true )
& ( subsetTrans = $true )
& ( subsetI1 = $true )
& ( powersetI = $true )
& ( upairinpowunion = $true )
& ( powersetE = $true )
& ( emptyset__Cong = $true )
& ( omega0Ax = $true )
& ( setadjoinSub2 = $true )
& ( setukpairinjL2 = $true )
& ( powerset__Cong = $true )
& ( setminusERneg = $true )
& ( setadjoinSub = $true )
& ( binunionIL = $true )
& ( upairsubunion = $true )
& ( sepInPowerset = $true )
& ( exuE3u = $true )
& ( cartprodpairin = $true )
& ( ex1E1 = $true )
& ( setukpairinjR11 = $true )
& ( exuI1 = $true )
& ( powersetsubset = $true )
& ( notequalI2 = $true )
& ( bs114d = $true )
& ( ex1I2 = $true )
& ( binintersectRsub = $true )
& ( binintersectSubset3 = $true )
& ( setunion__Cong = $true )
& ( binunionE = $true ) ),
inference(flattening,[],[f520]) ).
thf(f522,plain,
( ( emptyI = $true )
& ( binintersectEL = $true )
& ( binintersectI = $true )
& ( binintersectLsub = $true )
& ( setadjoinIR = $true )
& ( setunionE2 = $true )
& ( singletoninpowunion = $true )
& ( notdallE = $true )
& ( nonemptyI1 = $true )
& ( exuI3 = $true )
& ( eqimpsubset2 = $true )
& ( exuE2 = $true )
& ( binunionRsub = $true )
& ( theprop = $true )
& ( setukpairinjR2 = $true )
& ( singletonsswitch = $true )
& ( subset2powerset = $true )
& ( binintersectSubset2 = $true )
& ( cartprodmempair = $true )
& ( setminusILneg = $true )
& ( upairequniteq = $true )
& ( singletonsuniq = $true )
& ( upairsetE = $true )
& ( foundationAx = $true )
& ( binintersectSubset1 = $true )
& ( exuI2 = $true )
& ( setadjoin__Cong = $true )
& ( upairset2E = $true )
& ( setadjoinE = $true )
& ( exuE1 = $true )
& ( prop2setE = $true )
& ( binunionEcases = $true )
& ( singletonprop = $true )
& ( setminusSubset1 = $true )
& ( symdiffIneg1 = $true )
& ( subsetI2 = $true )
& ( wellorderingAx = $true )
& ( powersetAx = $true )
& ( setunionI = $true )
& ( emptysetsubset = $true )
& ( inCongP = $true )
& ( setadjoinIL = $true )
& ( inPowerset = $true )
& ( subPowSU = $true )
& ( nonemptyI = $true )
& ( setminusEL = $true )
& ( notequalI1 = $true )
& ( notinsingleton = $true )
& ( kpairiskpair = $true )
& ( sepSubset = $true )
& ( nonemptyImpWitness = $true )
& ( emptyinPowerset = $true )
& ( upairsetIL = $true )
& ( emptysetimpfalse = $true )
& ( vacuousDall = $true )
& ( setextAx = $true )
& ( upairsetIR = $true )
& ( quantDeMorgan2 = $true )
& ( symdiffI1 = $true )
& ( notdexE = $true )
& ( binunionLsub = $true )
& ( setunionsingleton1 = $true )
& ( disjointsetsI1 = $true )
& ( subsetE = $true )
& ( dsetconstrEL = $true )
& ( cartprodmempair1 = $true )
& ( setminusI = $true )
& ( setadjoinOr = $true )
& ( replAx = $true )
& ( exu__Cong = $true )
& ( subsetE2 = $true )
& ( setunionsingleton2 = $true )
& ( noeltsimpempty = $true )
& ( setukpairIL = $true )
& ( singletoninpowerset = $true )
& ( setoftrueEq = $true )
& ( omegaSAx = $true )
& ( setukpairIR = $true )
& ( binintersectSubset4 = $true )
& ( nonemptyE1 = $true )
& ( ubforcartprodlem1 = $true )
& ( eqimpsubset1 = $true )
& ( binintersectER = $true )
& ( setminusSubset2 = $true )
& ( binunionIR = $true )
& ( kfstsingleton = $true )
& ( singletonsubset = $true )
& ( quantDeMorgan3 = $true )
& ( sK1 != sK2 )
& ( ( kpair @ sK0 @ sK2 )
= ( kpair @ sK3 @ sK1 ) )
& ( notsubsetI = $true )
& ( omegaIndAx = $true )
& ( symdiffIneg2 = $true )
& ( ubforcartprodlem3 = $true )
& ( subsetRefl = $true )
& ( setukpairinjR1 = $true )
& ( symdiffE = $true )
& ( upairset2IR = $true )
& ( setukpairinjL = $true )
& ( emptysetE = $true )
& ( setukpairinjL1 = $true )
& ( symdiffI2 = $true )
& ( setextsub = $true )
& ( uniqinunit = $true )
& ( binintersectSubset5 = $true )
& ( dsetconstrI = $true )
& ( powersetE1 = $true )
& ( cartprodfstin = $true )
& ( dsetconstrER = $true )
& ( setunionE = $true )
& ( in__Cong = $true )
& ( descr__Cong = $true )
& ( emptyE1 = $true )
& ( kfstpairEq = $true )
& ( setminusELneg = $true )
& ( secondinupair = $true )
& ( powersetI1 = $true )
& ( kpairp = $true )
& ( setukpairinjR12 = $true )
& ( eqinunit = $true )
& ( prop2setI = $true )
& ( setminusIRneg = $true )
& ( prop2set2propI = $true )
& ( exuEu = $true )
& ( notinemptyset = $true )
& ( emptyinunitempty = $true )
& ( emptyInPowerset = $true )
& ( quantDeMorgan1 = $true )
& ( setunionsingleton = $true )
& ( descrp = $true )
& ( ex1I = $true )
& ( dsetconstr__Cong = $true )
& ( setadjoinAx = $true )
& ( ubforcartprodlem2 = $true )
& ( subsetemptysetimpeq = $true )
& ( setminusER = $true )
& ( setminusLsub = $true )
& ( exuE3e = $true )
& ( setbeta = $true )
& ( omega__Cong = $true )
& ( setext = $true )
& ( emptysetAx = $true )
& ( quantDeMorgan4 = $true )
& ( setunionAx = $true )
& ( subsetTrans = $true )
& ( subsetI1 = $true )
& ( powersetI = $true )
& ( upairinpowunion = $true )
& ( powersetE = $true )
& ( emptyset__Cong = $true )
& ( omega0Ax = $true )
& ( setadjoinSub2 = $true )
& ( setukpairinjL2 = $true )
& ( powerset__Cong = $true )
& ( setminusERneg = $true )
& ( setadjoinSub = $true )
& ( binunionIL = $true )
& ( upairsubunion = $true )
& ( sepInPowerset = $true )
& ( exuE3u = $true )
& ( cartprodpairin = $true )
& ( ex1E1 = $true )
& ( setukpairinjR11 = $true )
& ( exuI1 = $true )
& ( powersetsubset = $true )
& ( notequalI2 = $true )
& ( bs114d = $true )
& ( ex1I2 = $true )
& ( binintersectRsub = $true )
& ( binintersectSubset3 = $true )
& ( setunion__Cong = $true )
& ( binunionE = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f521]) ).
thf(f533,plain,
( kpair
= ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf_transformation,[],[f333]) ).
thf(f649,plain,
( setukpairinjR2
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f238]) ).
thf(f651,plain,
( setukpairinjL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y2 )
= ( kpair @ Y1 @ Y3 ) )
=> ( Y1 = Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f273]) ).
thf(f748,plain,
setukpairinjL = $true,
inference(cnf_transformation,[],[f522]) ).
thf(f757,plain,
( ( kpair @ sK0 @ sK2 )
= ( kpair @ sK3 @ sK1 ) ),
inference(cnf_transformation,[],[f522]) ).
thf(f758,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f522]) ).
thf(f832,plain,
setukpairinjR2 = $true,
inference(cnf_transformation,[],[f522]) ).
thf(f993,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) )
=> ( Y3 = Y2 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f649,f832]) ).
thf(f995,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( ^ [Y4: $i,Y5: $i] : ( setadjoin @ ( setadjoin @ Y4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y4 @ ( setadjoin @ Y5 @ emptyset ) ) @ emptyset ) )
@ Y0
@ Y2 )
= ( ^ [Y4: $i,Y5: $i] : ( setadjoin @ ( setadjoin @ Y4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y4 @ ( setadjoin @ Y5 @ emptyset ) ) @ emptyset ) )
@ Y1
@ Y3 ) )
=> ( Y1 = Y0 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f651,f748,f533,f533]) ).
thf(f1019,plain,
( ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
@ sK3
@ sK1 )
= ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
@ sK0
@ sK2 ) ),
inference(definition_unfolding,[],[f757,f533,f533]) ).
thf(f1303,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( ^ [Y4: $i,Y5: $i] : ( setadjoin @ ( setadjoin @ Y4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y4 @ ( setadjoin @ Y5 @ emptyset ) ) @ emptyset ) )
@ Y0
@ Y2 )
= ( ^ [Y4: $i,Y5: $i] : ( setadjoin @ ( setadjoin @ Y4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y4 @ ( setadjoin @ Y5 @ emptyset ) ) @ emptyset ) )
@ Y1
@ Y3 ) )
=> ( Y1 = Y0 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f995]) ).
thf(f1304,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) )
=> ( Y0 = X1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1303]) ).
thf(f1305,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) )
=> ( Y0 = X1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f1304]) ).
thf(f1306,plain,
! [X2: $i,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) )
=> ( X2 = X1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1305]) ).
thf(f1307,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) )
=> ( X2 = X1 ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f1306]) ).
thf(f1308,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) )
=> ( X2 = X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1307]) ).
thf(f1309,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) )
=> ( X2 = X1 ) )
@ X4 ) ),
inference(pi_proxy_clausification,[],[f1308]) ).
thf(f1310,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( $true
= ( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) )
=> ( X2 = X1 ) ) ),
inference(beta-eta_normalization,[],[f1309]) ).
thf(f1311,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( X2 = X1 ) )
| ( $false
= ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1310]) ).
thf(f1312,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f1311]) ).
thf(f1313,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f1312]) ).
thf(f1588,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y3 @ emptyset ) ) @ emptyset ) ) )
=> ( Y3 = Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f993]) ).
thf(f1589,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) )
=> ( Y2 = Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1588]) ).
thf(f1590,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) )
=> ( Y2 = Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f1589]) ).
thf(f1591,plain,
! [X2: $i,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1590]) ).
thf(f1592,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) )
=> ( Y1 = Y0 ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f1591]) ).
thf(f1593,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) )
=> ( Y0 = X3 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1592]) ).
thf(f1594,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ^ [Y0: $i] :
( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) )
=> ( Y0 = X3 ) )
@ X4 )
= $true ),
inference(pi_proxy_clausification,[],[f1593]) ).
thf(f1595,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) )
=> ( X4 = X3 ) )
= $true ),
inference(beta-eta_normalization,[],[f1594]) ).
thf(f1596,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( X4 = X3 )
= $true )
| ( $false
= ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1595]) ).
thf(f1597,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( X3 = X4 )
| ( $false
= ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) ) ) ),
inference(equality_proxy_clausification,[],[f1596]) ).
thf(f1598,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) )
| ( X3 = X4 ) ),
inference(equality_proxy_clausification,[],[f1597]) ).
thf(f1871,plain,
( ( setadjoin @ ( setadjoin @ sK0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK0 @ ( setadjoin @ sK2 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) ) ),
inference(beta-eta_normalization,[],[f1019]) ).
thf(f3442,plain,
sK3 = sK0,
inference(unit_resulting_resolution,[],[f1313,f1871]) ).
thf(f3444,plain,
( ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK2 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) ) ),
inference(backward_demodulation,[],[f1871,f3442]) ).
thf(f3679,plain,
$false,
inference(unit_resulting_resolution,[],[f1598,f758,f3444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU654^1 : 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 : n001.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 14:09:05 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.31 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
% 1.20/0.53 % (1298952)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.20/0.53 % (1298962)lrs+10_16_si=on:nwc=1.5:random_seed=4288108028:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.20/0.53 % (1298967)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.20/0.53 % (1298967)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
% 1.20/0.53 % (1298962)Instruction limit reached!
% 1.20/0.53 % (1298962)------------------------------
% 1.20/0.53 % (1298962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.53 % (1298962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.53 % (1298962)CaDiCaL version: 2.1.3
% 1.20/0.53 % (1298962)Termination reason: Instruction limit
% 1.20/0.53 % (1298962)Termination phase: shuffling
% 1.20/0.53 % (1298962)Time elapsed: 0.008 s
% 1.20/0.53 % (1298962)Peak memory usage: 10 MB
% 1.20/0.53 % (1298962)Instructions burned: 18 (million)
% 1.20/0.53 % (1298961)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=932755375:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.20/0.53 % (1298965)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=227024061:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.20/0.53 % (1298964)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=4189415774: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)
% 1.20/0.53 % (1298966)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1930426324:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.20/0.53 % (1298963)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=399514864:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.20/0.53 % (1298967)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=4179388897:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.20/0.53 % (1298963)Instruction limit reached!
% 1.20/0.53 % (1298963)------------------------------
% 1.20/0.53 % (1298963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.53 % (1298963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.53 % (1298963)CaDiCaL version: 2.1.3
% 1.20/0.53 % (1298963)Termination reason: Instruction limit
% 1.20/0.53 % (1298963)Termination phase: shuffling
% 1.20/0.53 % (1298963)Time elapsed: 0.003 s
% 1.20/0.53 % (1298963)Peak memory usage: 10 MB
% 1.20/0.53 % (1298963)Instructions burned: 3 (million)
% 1.20/0.53 % (1298965)Instruction limit reached!
% 1.20/0.53 % (1298965)------------------------------
% 1.20/0.53 % (1298965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.53 % (1298965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.53 % (1298965)CaDiCaL version: 2.1.3
% 1.20/0.53 % (1298965)Termination reason: Instruction limit
% 1.20/0.53 % (1298965)Termination phase: Preprocessing 3
% 1.20/0.53 % (1298965)Time elapsed: 0.021 s
% 1.20/0.53 % (1298965)Peak memory usage: 11 MB
% 1.20/0.53 % (1298965)Instructions burned: 25 (million)
% 1.20/0.53 % (1298970)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=118799288:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.20/0.53 % (1298970)Instruction limit reached!
% 1.20/0.53 % (1298970)------------------------------
% 1.20/0.53 % (1298970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.53 % (1298970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.53 % (1298970)CaDiCaL version: 2.1.3
% 1.20/0.53 % (1298970)Termination reason: Instruction limit
% 1.20/0.53 % (1298970)Termination phase: shuffling
% 1.20/0.53 % (1298970)Time elapsed: 0.001 s
% 1.20/0.53 % (1298970)Peak memory usage: 10 MB
% 1.20/0.53 % (1298970)Instructions burned: 2 (million)
% 1.20/0.53 % (1298977)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4233983082:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.83/0.64 % (1298978)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.83/0.64 % (1298978)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3657741788:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.83/0.64 % (1298977)Instruction limit reached!
% 1.83/0.64 % (1298977)------------------------------
% 1.83/0.64 % (1298977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.64 % (1298977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.64 % (1298977)CaDiCaL version: 2.1.3
% 1.83/0.64 % (1298977)Termination reason: Instruction limit
% 1.83/0.64 % (1298977)Termination phase: shuffling
% 1.83/0.64 % (1298977)Time elapsed: 0.005 s
% 1.83/0.64 % (1298977)Peak memory usage: 10 MB
% 1.83/0.64 % (1298977)Instructions burned: 5 (million)
% 1.83/0.64 % (1298978)Instruction limit reached!
% 1.83/0.64 % (1298978)------------------------------
% 1.83/0.64 % (1298978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.64 % (1298978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.64 % (1298978)CaDiCaL version: 2.1.3
% 1.83/0.64 % (1298978)Termination reason: Instruction limit
% 1.83/0.64 % (1298978)Termination phase: shuffling
% 1.83/0.64 % (1298978)Time elapsed: 0.006 s
% 1.83/0.64 % (1298978)Peak memory usage: 10 MB
% 1.83/0.64 % (1298978)Instructions burned: 12 (million)
% 1.83/0.64 % (1298980)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=645030013:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.83/0.64 % (1298966)Instruction limit reached!
% 1.83/0.64 % (1298966)------------------------------
% 1.83/0.64 % (1298966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.64 % (1298966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.64 % (1298966)CaDiCaL version: 2.1.3
% 1.83/0.64 % (1298966)Termination reason: Instruction limit
% 1.83/0.64 % (1298966)Termination phase: Property scanning
% 1.83/0.64 % (1298966)Time elapsed: 0.063 s
% 1.83/0.64 % (1298966)Peak memory usage: 12 MB
% 1.83/0.64 % (1298966)Instructions burned: 76 (million)
% 1.83/0.64 % (1298961)Instruction limit reached!
% 1.83/0.64 % (1298961)------------------------------
% 1.83/0.64 % (1298961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.64 % (1298961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.64 % (1298961)CaDiCaL version: 2.1.3
% 1.83/0.64 % (1298961)Termination reason: Instruction limit
% 1.83/0.64 % (1298961)Termination phase: Property scanning
% 1.83/0.64 % (1298961)Time elapsed: 0.073 s
% 1.83/0.64 % (1298961)Peak memory usage: 12 MB
% 1.83/0.64 % (1298961)Instructions burned: 87 (million)
% 1.83/0.64 % (1298980)Instruction limit reached!
% 1.83/0.64 % (1298980)------------------------------
% 1.83/0.64 % (1298980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.64 % (1298980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.64 % (1298980)CaDiCaL version: 2.1.3
% 1.83/0.64 % (1298980)Termination reason: Instruction limit
% 1.83/0.64 % (1298980)Termination phase: shuffling
% 1.83/0.64 % (1298980)Time elapsed: 0.011 s
% 1.83/0.64 % (1298980)Peak memory usage: 10 MB
% 1.83/0.64 % (1298980)Instructions burned: 13 (million)
% 1.83/0.64 % (1298983)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
% 1.83/0.64 % (1298983)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.83/0.64 % (1298984)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=92984209:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.83/0.64 % (1298983)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=975175690:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.83/0.64 % (1298983)Instruction limit reached!
% 1.83/0.64 % (1298983)------------------------------
% 1.83/0.64 % (1298983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.74 % (1298983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.74 % (1298983)CaDiCaL version: 2.1.3
% 2.32/0.74 % (1298983)Termination reason: Instruction limit
% 2.32/0.74 % (1298983)Termination phase: Property scanning
% 2.32/0.74 % (1298983)Time elapsed: 0.013 s
% 2.32/0.74 % (1298983)Peak memory usage: 10 MB
% 2.32/0.74 % (1298983)Instructions burned: 28 (million)
% 2.32/0.74 % (1298986)lrs+10_1_si=on:cs=on:random_seed=435680221:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.32/0.74 % (1298987)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 2.32/0.74 % (1298987)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=2924786094:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.32/0.74 % (1298986)Instruction limit reached!
% 2.32/0.74 % (1298986)------------------------------
% 2.32/0.74 % (1298986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.74 % (1298986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.74 % (1298986)CaDiCaL version: 2.1.3
% 2.32/0.74 % (1298986)Termination reason: Instruction limit
% 2.32/0.74 % (1298986)Termination phase: shuffling
% 2.32/0.74 % (1298986)Time elapsed: 0.008 s
% 2.32/0.74 % (1298986)Peak memory usage: 10 MB
% 2.32/0.74 % (1298986)Instructions burned: 8 (million)
% 2.32/0.74 % (1298988)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3467050790:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 2.32/0.74 % (1298987)Instruction limit reached!
% 2.32/0.74 % (1298987)------------------------------
% 2.32/0.74 % (1298987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.74 % (1298987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.74 % (1298987)CaDiCaL version: 2.1.3
% 2.32/0.74 % (1298987)Termination reason: Instruction limit
% 2.32/0.74 % (1298987)Termination phase: shuffling
% 2.32/0.74 % (1298987)Time elapsed: 0.003 s
% 2.32/0.74 % (1298987)Peak memory usage: 10 MB
% 2.32/0.74 % (1298987)Instructions burned: 2 (million)
% 2.32/0.74 % (1298991)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2240869045:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 2.32/0.74 % (1298995)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=598487839:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.32/0.74 % (1298967)Instruction limit reached!
% 2.32/0.74 % (1298967)------------------------------
% 2.32/0.74 % (1298967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.74 % (1298967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.74 % (1298967)CaDiCaL version: 2.1.3
% 2.32/0.74 % (1298967)Termination reason: Instruction limit
% 2.32/0.74 % (1298967)Termination phase: Saturation
% 2.32/0.74 % (1298967)Time elapsed: 0.125 s
% 2.32/0.74 % (1298967)Peak memory usage: 13 MB
% 2.32/0.74 % (1298967)Instructions burned: 157 (million)
% 2.32/0.74 % (1298995)Instruction limit reached!
% 2.32/0.74 % (1298995)------------------------------
% 2.32/0.74 % (1298995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.74 % (1298995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.74 % (1298995)CaDiCaL version: 2.1.3
% 2.32/0.74 % (1298995)Termination reason: Instruction limit
% 2.32/0.74 % (1298995)Termination phase: SInE selection
% 2.32/0.74 % (1298995)Time elapsed: 0.012 s
% 2.32/0.74 % (1298995)Peak memory usage: 11 MB
% 2.32/0.74 % (1298995)Instructions burned: 26 (million)
% 2.32/0.74 % (1298996)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2190855937:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.32/0.74 % (1298988)Instruction limit reached!
% 2.32/0.74 % (1298988)------------------------------
% 2.32/0.74 % (1298988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.74 % (1298988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.74 % (1298988)CaDiCaL version: 2.1.3
% 2.32/0.74 % (1298988)Termination reason: Instruction limit
% 2.32/0.74 % (1298988)Termination phase: Preprocessing 3
% 2.72/0.86 % (1298988)Time elapsed: 0.036 s
% 2.72/0.86 % (1298988)Peak memory usage: 11 MB
% 2.72/0.86 % (1298988)Instructions burned: 41 (million)
% 2.72/0.86 % (1298984)Instruction limit reached!
% 2.72/0.86 % (1298984)------------------------------
% 2.72/0.86 % (1298984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.86 % (1298984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.86 % (1298984)CaDiCaL version: 2.1.3
% 2.72/0.86 % (1298984)Termination reason: Instruction limit
% 2.72/0.86 % (1298984)Termination phase: Saturation
% 2.72/0.86 % (1298984)Time elapsed: 0.069 s
% 2.72/0.86 % (1298984)Peak memory usage: 12 MB
% 2.72/0.86 % (1298984)Instructions burned: 86 (million)
% 2.72/0.86 % (1298996)Instruction limit reached!
% 2.72/0.86 % (1298996)------------------------------
% 2.72/0.86 % (1298996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.86 % (1298996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.86 % (1298996)CaDiCaL version: 2.1.3
% 2.72/0.86 % (1298996)Termination reason: Instruction limit
% 2.72/0.86 % (1298996)Termination phase: shuffling
% 2.72/0.86 % (1298996)Time elapsed: 0.013 s
% 2.72/0.86 % (1298996)Peak memory usage: 10 MB
% 2.72/0.86 % (1298996)Instructions burned: 14 (million)
% 2.72/0.86 % (1298999)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=700589285:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.72/0.86 % (1299002)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2044499985:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.72/0.86 % (1299002)Instruction limit reached!
% 2.72/0.86 % (1299002)------------------------------
% 2.72/0.86 % (1299002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.86 % (1299002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.86 % (1299002)CaDiCaL version: 2.1.3
% 2.72/0.86 % (1299002)Termination reason: Instruction limit
% 2.72/0.86 % (1299002)Termination phase: shuffling
% 2.72/0.86 % (1299002)Time elapsed: 0.002 s
% 2.72/0.86 % (1299002)Peak memory usage: 10 MB
% 2.72/0.86 % (1299002)Instructions burned: 4 (million)
% 2.72/0.86 % (1299000)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2284299290:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 2.72/0.86 % (1299007)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=54127862:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.72/0.86 % (1299000)Instruction limit reached!
% 2.72/0.86 % (1299000)------------------------------
% 2.72/0.86 % (1299000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.86 % (1299000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.86 % (1299000)CaDiCaL version: 2.1.3
% 2.72/0.86 % (1299000)Termination reason: Instruction limit
% 2.72/0.86 % (1299000)Termination phase: shuffling
% 2.72/0.86 % (1299000)Time elapsed: 0.020 s
% 2.72/0.86 % (1299000)Peak memory usage: 10 MB
% 2.72/0.86 % (1299000)Instructions burned: 15 (million)
% 2.72/0.86 % (1299003)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2238974365:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.72/0.86 % (1299004)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2927154584:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.72/0.86 % (1299003)Instruction limit reached!
% 2.72/0.86 % (1299003)------------------------------
% 2.72/0.86 % (1299003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.86 % (1299003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.86 % (1299003)CaDiCaL version: 2.1.3
% 2.72/0.86 % (1299003)Termination reason: Instruction limit
% 2.72/0.86 % (1299003)Termination phase: Property scanning
% 2.72/0.86 % (1299003)Time elapsed: 0.022 s
% 2.72/0.86 % (1299003)Peak memory usage: 10 MB
% 2.72/0.86 % (1299003)Instructions burned: 26 (million)
% 2.72/0.86 % (1299007)Instruction limit reached!
% 2.72/0.86 % (1299007)------------------------------
% 2.72/0.86 % (1299007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.86 % (1299007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.86 % (1299007)CaDiCaL version: 2.1.3
% 2.94/0.96 % (1299007)Termination reason: Instruction limit
% 2.94/0.96 % (1299007)Termination phase: Property scanning
% 2.94/0.96 % (1299007)Time elapsed: 0.052 s
% 2.94/0.96 % (1299007)Peak memory usage: 12 MB
% 2.94/0.96 % (1299007)Instructions burned: 60 (million)
% 2.94/0.96 % (1299013)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.94/0.96 % (1299004)Instruction limit reached!
% 2.94/0.96 % (1299004)------------------------------
% 2.94/0.96 % (1299004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.96 % (1299004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.96 % (1299004)CaDiCaL version: 2.1.3
% 2.94/0.96 % (1299004)Termination reason: Instruction limit
% 2.94/0.96 % (1299004)Termination phase: Property scanning
% 2.94/0.96 % (1299004)Time elapsed: 0.036 s
% 2.94/0.96 % (1299004)Peak memory usage: 10 MB
% 2.94/0.96 % (1299004)Instructions burned: 23 (million)
% 2.94/0.96 % (1299011)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
% 2.94/0.96 % (1299011)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.94/0.96 % (1299011)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=3053574222:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.94/0.96 % (1299013)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=3776405806:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2996 on theBenchmark for (2996ds/8Mi)
% 2.94/0.96 % (1299013)Instruction limit reached!
% 2.94/0.96 % (1299013)------------------------------
% 2.94/0.96 % (1299013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.96 % (1299013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.96 % (1299013)CaDiCaL version: 2.1.3
% 2.94/0.96 % (1299013)Termination reason: Instruction limit
% 2.94/0.96 % (1299013)Termination phase: shuffling
% 2.94/0.96 % (1299013)Time elapsed: 0.007 s
% 2.94/0.96 % (1299013)Peak memory usage: 10 MB
% 2.94/0.96 % (1299013)Instructions burned: 9 (million)
% 2.94/0.96 % (1299011)Instruction limit reached!
% 2.94/0.96 % (1299011)------------------------------
% 2.94/0.96 % (1299011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.96 % (1299011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.96 % (1299011)CaDiCaL version: 2.1.3
% 2.94/0.96 % (1299011)Termination reason: Instruction limit
% 2.94/0.96 % (1299011)Termination phase: shuffling
% 2.94/0.96 % (1299011)Time elapsed: 0.013 s
% 2.94/0.96 % (1299011)Peak memory usage: 10 MB
% 2.94/0.96 % (1299011)Instructions burned: 15 (million)
% 2.94/0.96 % (1299014)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=815593807:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.94/0.96 % (1298991)Instruction limit reached!
% 2.94/0.96 % (1298991)------------------------------
% 2.94/0.96 % (1298991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.96 % (1298991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.96 % (1298991)CaDiCaL version: 2.1.3
% 2.94/0.96 % (1298991)Termination reason: Instruction limit
% 2.94/0.96 % (1298991)Termination phase: Saturation
% 2.94/0.96 % (1298991)Time elapsed: 0.221 s
% 2.94/0.96 % (1298991)Peak memory usage: 14 MB
% 2.94/0.96 % (1298991)Instructions burned: 250 (million)
% 2.94/0.96 % (1299015)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3283559208:i=7:hud=5:bd=preordered:rtra=on:bet=on_2996 on theBenchmark for (2996ds/7Mi)
% 2.94/0.96 % (1299018)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=860755303:i=23:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/23Mi)
% 2.94/0.96 % (1299015)Instruction limit reached!
% 2.94/0.96 % (1299015)------------------------------
% 2.94/0.96 % (1299015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.96 % (1299015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.08 % (1299015)CaDiCaL version: 2.1.3
% 2.94/1.08 % (1299015)Termination reason: Instruction limit
% 2.94/1.08 % (1299015)Termination phase: shuffling
% 2.94/1.08 % (1299015)Time elapsed: 0.008 s
% 2.94/1.08 % (1299015)Peak memory usage: 10 MB
% 2.94/1.08 % (1299015)Instructions burned: 14 (million)
% 2.94/1.08 % (1299019)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4148043929:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 2.94/1.08 % (1299014)Instruction limit reached!
% 2.94/1.08 % (1299014)------------------------------
% 2.94/1.08 % (1299014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/1.08 % (1299014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.08 % (1299014)CaDiCaL version: 2.1.3
% 2.94/1.08 % (1299014)Termination reason: Instruction limit
% 2.94/1.08 % (1299014)Termination phase: Property scanning
% 2.94/1.08 % (1299014)Time elapsed: 0.046 s
% 2.94/1.08 % (1299014)Peak memory usage: 10 MB
% 2.94/1.08 % (1299014)Instructions burned: 31 (million)
% 2.94/1.08 % (1299019)Instruction limit reached!
% 2.94/1.08 % (1299019)------------------------------
% 2.94/1.08 % (1299019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/1.08 % (1299019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.08 % (1299019)CaDiCaL version: 2.1.3
% 2.94/1.08 % (1299019)Termination reason: Instruction limit
% 2.94/1.08 % (1299019)Termination phase: Property scanning
% 2.94/1.08 % (1299019)Time elapsed: 0.009 s
% 2.94/1.08 % (1299019)Peak memory usage: 10 MB
% 2.94/1.08 % (1299019)Instructions burned: 20 (million)
% 2.94/1.08 % (1299018)Instruction limit reached!
% 2.94/1.08 % (1299018)------------------------------
% 2.94/1.08 % (1299018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/1.08 % (1299018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.08 % (1299018)CaDiCaL version: 2.1.3
% 2.94/1.08 % (1299018)Termination reason: Instruction limit
% 2.94/1.08 % (1299018)Termination phase: Property scanning
% 2.94/1.08 % (1299018)Time elapsed: 0.020 s
% 2.94/1.08 % (1299018)Peak memory usage: 10 MB
% 2.94/1.08 % (1299018)Instructions burned: 23 (million)
% 2.94/1.08 % (1299021)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1796131590:i=1240:rtra=on:ixr=off_2995 on theBenchmark for (2995ds/1240Mi)
% 2.94/1.08 % (1299025)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2007708922:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/143Mi)
% 2.94/1.08 % (1299026)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=344706568:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/193Mi)
% 2.94/1.08 % (1298999)Instruction limit reached!
% 2.94/1.08 % (1298999)------------------------------
% 2.94/1.08 % (1298999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/1.08 % (1298999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.08 % (1298999)CaDiCaL version: 2.1.3
% 2.94/1.08 % (1298999)Termination reason: Instruction limit
% 2.94/1.08 % (1298999)Termination phase: Saturation
% 2.94/1.08 % (1298999)Time elapsed: 0.275 s
% 2.94/1.08 % (1298999)Peak memory usage: 14 MB
% 2.94/1.08 % (1298999)Instructions burned: 328 (million)
% 2.94/1.08 % (1299027)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3833257303:i=42:hud=10:rtra=on_2995 on theBenchmark for (2995ds/42Mi)
% 2.94/1.08 % (1299028)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.94/1.08 % (1299028)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1198702156:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2995 on theBenchmark for (2995ds/7Mi)
% 2.94/1.08 % (1299028)Instruction limit reached!
% 2.94/1.08 % (1299028)------------------------------
% 2.94/1.08 % (1299028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/1.08 % (1299028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.08 % (1299028)CaDiCaL version: 2.1.3
% 2.94/1.08 % (1299028)Termination reason: Instruction limit
% 2.94/1.08 % (1299028)Termination phase: shuffling
% 2.94/1.08 % (1299028)Time elapsed: 0.011 s
% 2.94/1.08 % (1299028)Peak memory usage: 10 MB
% 2.94/1.08 % (1299028)Instructions burned: 7 (million)
% 2.94/1.08 % (1299033)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=782190136:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/181Mi)
% 4.97/1.27 % (1299027)Instruction limit reached!
% 4.97/1.27 % (1299027)------------------------------
% 4.97/1.27 % (1299027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.27 % (1299027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.27 % (1299027)CaDiCaL version: 2.1.3
% 4.97/1.27 % (1299027)Termination reason: Instruction limit
% 4.97/1.27 % (1299027)Termination phase: Property scanning
% 4.97/1.27 % (1299027)Time elapsed: 0.046 s
% 4.97/1.27 % (1299027)Peak memory usage: 11 MB
% 4.97/1.27 % (1299027)Instructions burned: 43 (million)
% 4.97/1.27 % (1299035)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=1548241942:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2994 on theBenchmark for (2994ds/169Mi)
% 4.97/1.27 % (1299037)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 4.97/1.27 % (1299037)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3318461450:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2994 on theBenchmark for (2994ds/6Mi)
% 4.97/1.27 % (1299037)Instruction limit reached!
% 4.97/1.27 % (1299037)------------------------------
% 4.97/1.27 % (1299037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.27 % (1299037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.27 % (1299037)CaDiCaL version: 2.1.3
% 4.97/1.27 % (1299037)Termination reason: Instruction limit
% 4.97/1.27 % (1299037)Termination phase: shuffling
% 4.97/1.27 % (1299037)Time elapsed: 0.006 s
% 4.97/1.27 % (1299037)Peak memory usage: 10 MB
% 4.97/1.27 % (1299037)Instructions burned: 7 (million)
% 4.97/1.27 % (1299040)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=756841064:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 4.97/1.27 % (1299025)Instruction limit reached!
% 4.97/1.27 % (1299025)------------------------------
% 4.97/1.27 % (1299025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.27 % (1299025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.27 % (1299025)CaDiCaL version: 2.1.3
% 4.97/1.27 % (1299025)Termination reason: Instruction limit
% 4.97/1.27 % (1299025)Termination phase: Saturation
% 4.97/1.27 % (1299025)Time elapsed: 0.143 s
% 4.97/1.27 % (1299025)Peak memory usage: 13 MB
% 4.97/1.27 % (1299025)Instructions burned: 143 (million)
% 4.97/1.27 % (1299033)Instruction limit reached!
% 4.97/1.27 % (1299033)------------------------------
% 4.97/1.27 % (1299033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.27 % (1299033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.27 % (1299033)CaDiCaL version: 2.1.3
% 4.97/1.27 % (1299033)Termination reason: Instruction limit
% 4.97/1.27 % (1299033)Termination phase: Saturation
% 4.97/1.27 % (1299033)Time elapsed: 0.080 s
% 4.97/1.27 % (1299033)Peak memory usage: 14 MB
% 4.97/1.27 % (1299033)Instructions burned: 181 (million)
% 4.97/1.27 % (1299040)Instruction limit reached!
% 4.97/1.27 % (1299040)------------------------------
% 4.97/1.27 % (1299040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.27 % (1299040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.27 % (1299040)CaDiCaL version: 2.1.3
% 4.97/1.27 % (1299040)Termination reason: Instruction limit
% 4.97/1.27 % (1299040)Termination phase: Property scanning
% 4.97/1.27 % (1299040)Time elapsed: 0.023 s
% 4.97/1.27 % (1299040)Peak memory usage: 10 MB
% 4.97/1.27 % (1299040)Instructions burned: 22 (million)
% 4.97/1.27 % (1299026)Instruction limit reached!
% 4.97/1.27 % (1299026)------------------------------
% 4.97/1.27 % (1299026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.27 % (1299026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.27 % (1299026)CaDiCaL version: 2.1.3
% 4.97/1.27 % (1299026)Termination reason: Instruction limit
% 4.97/1.27 % (1299026)Termination phase: Saturation
% 4.97/1.27 % (1299026)Time elapsed: 0.139 s
% 4.97/1.27 % (1299026)Peak memory usage: 13 MB
% 4.97/1.27 % (1299026)Instructions burned: 193 (million)
% 4.97/1.27 % (1299043)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=2730304247:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/316Mi)
% 5.88/1.46 % (1298964)Instruction limit reached!
% 5.88/1.46 % (1298964)------------------------------
% 5.88/1.46 % (1298964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.46 % (1298964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.46 % (1298964)CaDiCaL version: 2.1.3
% 5.88/1.46 % (1298964)Termination reason: Instruction limit
% 5.88/1.46 % (1298964)Termination phase: Saturation
% 5.88/1.46 % (1298964)Time elapsed: 0.587 s
% 5.88/1.46 % (1298964)Peak memory usage: 19 MB
% 5.88/1.46 % (1298964)Instructions burned: 635 (million)
% 5.88/1.46 % (1299042)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1530411361:i=19:add=on:rtra=on_2993 on theBenchmark for (2993ds/19Mi)
% 5.88/1.46 % (1299042)Instruction limit reached!
% 5.88/1.46 % (1299042)------------------------------
% 5.88/1.46 % (1299042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.46 % (1299042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.46 % (1299042)CaDiCaL version: 2.1.3
% 5.88/1.46 % (1299042)Termination reason: Instruction limit
% 5.88/1.46 % (1299042)Termination phase: shuffling
% 5.88/1.46 % (1299042)Time elapsed: 0.016 s
% 5.88/1.46 % (1299042)Peak memory usage: 10 MB
% 5.88/1.46 % (1299042)Instructions burned: 19 (million)
% 5.88/1.46 % (1299044)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=3303213176:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2993 on theBenchmark for (2993ds/853Mi)
% 5.88/1.46 % (1299046)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=142354655:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2993 on theBenchmark for (2993ds/45Mi)
% 5.88/1.46 % (1299048)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3639556445:i=480:rtra=on_2993 on theBenchmark for (2993ds/480Mi)
% 5.88/1.46 % (1299035)Instruction limit reached!
% 5.88/1.46 % (1299035)------------------------------
% 5.88/1.46 % (1299035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.46 % (1299035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.46 % (1299035)CaDiCaL version: 2.1.3
% 5.88/1.46 % (1299035)Termination reason: Instruction limit
% 5.88/1.46 % (1299035)Termination phase: Saturation
% 5.88/1.46 % (1299035)Time elapsed: 0.140 s
% 5.88/1.46 % (1299035)Peak memory usage: 14 MB
% 5.88/1.46 % (1299035)Instructions burned: 170 (million)
% 5.88/1.46 % (1299046)Instruction limit reached!
% 5.88/1.46 % (1299046)------------------------------
% 5.88/1.46 % (1299046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.46 % (1299046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.46 % (1299046)CaDiCaL version: 2.1.3
% 5.88/1.46 % (1299046)Termination reason: Instruction limit
% 5.88/1.46 % (1299046)Termination phase: Preprocessing 3
% 5.88/1.46 % (1299046)Time elapsed: 0.039 s
% 5.88/1.46 % (1299046)Peak memory usage: 11 MB
% 5.88/1.46 % (1299046)Instructions burned: 46 (million)
% 5.88/1.46 % (1299054)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3658363742:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2992 on theBenchmark for (2992ds/13Mi)
% 5.88/1.46 % (1299049)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1468986780:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2993 on theBenchmark for (2993ds/21Mi)
% 5.88/1.46 % (1299054)Instruction limit reached!
% 5.88/1.46 % (1299054)------------------------------
% 5.88/1.46 % (1299054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.46 % (1299054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.46 % (1299054)CaDiCaL version: 2.1.3
% 5.88/1.46 % (1299054)Termination reason: Instruction limit
% 5.88/1.46 % (1299054)Termination phase: shuffling
% 5.88/1.46 % (1299054)Time elapsed: 0.011 s
% 5.88/1.46 % (1299054)Peak memory usage: 10 MB
% 5.88/1.46 % (1299054)Instructions burned: 13 (million)
% 5.88/1.46 % (1299053)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 7.83/1.81 % (1299043)Instruction limit reached!
% 7.83/1.81 % (1299043)------------------------------
% 7.83/1.81 % (1299043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.81 % (1299043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.81 % (1299043)CaDiCaL version: 2.1.3
% 7.83/1.81 % (1299043)Termination reason: Instruction limit
% 7.83/1.81 % (1299043)Termination phase: Saturation
% 7.83/1.81 % (1299043)Time elapsed: 0.129 s
% 7.83/1.81 % (1299043)Peak memory usage: 14 MB
% 7.83/1.81 % (1299043)Instructions burned: 317 (million)
% 7.83/1.81 % (1299049)Instruction limit reached!
% 7.83/1.81 % (1299049)------------------------------
% 7.83/1.81 % (1299049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.81 % (1299049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.81 % (1299049)CaDiCaL version: 2.1.3
% 7.83/1.81 % (1299049)Termination reason: Instruction limit
% 7.83/1.81 % (1299049)Termination phase: Property scanning
% 7.83/1.81 % (1299049)Time elapsed: 0.018 s
% 7.83/1.81 % (1299049)Peak memory usage: 10 MB
% 7.83/1.81 % (1299049)Instructions burned: 21 (million)
% 7.83/1.81 % (1299053)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2984976900:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/200Mi)
% 7.83/1.81 % (1299057)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=4187649604:i=66:s2at=3:nm=2:rtra=on:rawr=on_2992 on theBenchmark for (2992ds/66Mi)
% 7.83/1.81 % (1299059)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3132230910:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 7.83/1.81 % (1299058)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=365881458:i=51:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/51Mi)
% 7.83/1.81 % (1299059)Instruction limit reached!
% 7.83/1.81 % (1299059)------------------------------
% 7.83/1.81 % (1299059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.81 % (1299059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.81 % (1299059)CaDiCaL version: 2.1.3
% 7.83/1.81 % (1299059)Termination reason: Instruction limit
% 7.83/1.81 % (1299059)Termination phase: Property scanning
% 7.83/1.81 % (1299059)Time elapsed: 0.039 s
% 7.83/1.81 % (1299059)Peak memory usage: 10 MB
% 7.83/1.81 % (1299059)Instructions burned: 32 (million)
% 7.83/1.81 % (1299058)Instruction limit reached!
% 7.83/1.81 % (1299058)------------------------------
% 7.83/1.81 % (1299058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.81 % (1299058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.81 % (1299058)CaDiCaL version: 2.1.3
% 7.83/1.81 % (1299058)Termination reason: Instruction limit
% 7.83/1.81 % (1299058)Termination phase: Property scanning
% 7.83/1.81 % (1299058)Time elapsed: 0.072 s
% 7.83/1.81 % (1299058)Peak memory usage: 11 MB
% 7.83/1.81 % (1299058)Instructions burned: 52 (million)
% 7.83/1.81 % (1299057)Instruction limit reached!
% 7.83/1.81 % (1299057)------------------------------
% 7.83/1.81 % (1299057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.82 % (1299057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.82 % (1299057)CaDiCaL version: 2.1.3
% 7.83/1.82 % (1299057)Termination reason: Instruction limit
% 7.83/1.82 % (1299057)Termination phase: Function definition elimination
% 7.83/1.82 % (1299057)Time elapsed: 0.085 s
% 7.83/1.82 % (1299057)Peak memory usage: 11 MB
% 7.83/1.82 % (1299057)Instructions burned: 66 (million)
% 7.83/1.82 % (1299053)Instruction limit reached!
% 7.83/1.82 % (1299053)------------------------------
% 7.83/1.82 % (1299053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.82 % (1299053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.82 % (1299053)CaDiCaL version: 2.1.3
% 7.83/1.82 % (1299053)Termination reason: Instruction limit
% 7.83/1.82 % (1299053)Termination phase: Saturation
% 7.83/1.82 % (1299053)Time elapsed: 0.165 s
% 7.83/1.82 % (1299053)Peak memory usage: 13 MB
% 7.83/1.82 % (1299053)Instructions burned: 200 (million)
% 7.83/1.82 % (1299064)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1256377759:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2991 on theBenchmark for (2991ds/137Mi)
% 8.86/1.95 % (1299065)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=627939910:cond=on:i=34:hud=10:nm=10:rtra=on_2990 on theBenchmark for (2990ds/34Mi)
% 8.86/1.95 % (1299066)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4271354476:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2990 on theBenchmark for (2990ds/67Mi)
% 8.86/1.95 % (1299067)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 8.86/1.95 % (1299067)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=861579114:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2990 on theBenchmark for (2990ds/180Mi)
% 8.86/1.95 % (1299065)Instruction limit reached!
% 8.86/1.95 % (1299065)------------------------------
% 8.86/1.95 % (1299065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.95 % (1299065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.95 % (1299065)CaDiCaL version: 2.1.3
% 8.86/1.95 % (1299065)Termination reason: Instruction limit
% 8.86/1.95 % (1299065)Termination phase: Property scanning
% 8.86/1.95 % (1299065)Time elapsed: 0.029 s
% 8.86/1.95 % (1299065)Peak memory usage: 10 MB
% 8.86/1.95 % (1299065)Instructions burned: 35 (million)
% 8.86/1.95 % (1299066)Instruction limit reached!
% 8.86/1.95 % (1299066)------------------------------
% 8.86/1.95 % (1299066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.95 % (1299066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.95 % (1299066)CaDiCaL version: 2.1.3
% 8.86/1.95 % (1299066)Termination reason: Instruction limit
% 8.86/1.95 % (1299066)Termination phase: Property scanning
% 8.86/1.95 % (1299066)Time elapsed: 0.042 s
% 8.86/1.95 % (1299066)Peak memory usage: 11 MB
% 8.86/1.95 % (1299066)Instructions burned: 70 (million)
% 8.86/1.95 % (1299072)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4146014284:st=2:i=246:sd=3:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/246Mi)
% 8.86/1.95 % (1299073)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3534393104:cond=on:i=96:bd=all:rtra=on_2989 on theBenchmark for (2989ds/96Mi)
% 8.86/1.95 % (1299064)Instruction limit reached!
% 8.86/1.95 % (1299064)------------------------------
% 8.86/1.95 % (1299064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.95 % (1299064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.95 % (1299064)CaDiCaL version: 2.1.3
% 8.86/1.95 % (1299064)Termination reason: Instruction limit
% 8.86/1.95 % (1299064)Termination phase: Saturation
% 8.86/1.95 % (1299064)Time elapsed: 0.132 s
% 8.86/1.95 % (1299064)Peak memory usage: 13 MB
% 8.86/1.95 % (1299064)Instructions burned: 137 (million)
% 8.86/1.95 % (1299076)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3966781426:i=427:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/427Mi)
% 8.86/1.95 % (1299048)Instruction limit reached!
% 8.86/1.95 % (1299048)------------------------------
% 8.86/1.95 % (1299048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.95 % (1299048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.95 % (1299048)CaDiCaL version: 2.1.3
% 8.86/1.95 % (1299048)Termination reason: Instruction limit
% 8.86/1.95 % (1299048)Termination phase: Saturation
% 8.86/1.95 % (1299048)Time elapsed: 0.427 s
% 8.86/1.95 % (1299048)Peak memory usage: 16 MB
% 8.86/1.95 % (1299048)Instructions burned: 481 (million)
% 8.86/1.95 % (1299073)Instruction limit reached!
% 8.86/1.95 % (1299073)------------------------------
% 8.86/1.95 % (1299073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.95 % (1299073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.95 % (1299073)CaDiCaL version: 2.1.3
% 8.86/1.95 % (1299073)Termination reason: Instruction limit
% 8.86/1.95 % (1299073)Termination phase: Saturation
% 8.86/1.95 % (1299073)Time elapsed: 0.078 s
% 8.86/1.95 % (1299073)Peak memory usage: 13 MB
% 8.86/1.95 % (1299073)Instructions burned: 96 (million)
% 8.86/1.95 % (1299072)Instruction limit reached!
% 8.86/1.95 % (1299072)------------------------------
% 8.86/1.95 % (1299072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.08 % (1299072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.08 % (1299072)CaDiCaL version: 2.1.3
% 9.15/2.08 % (1299072)Termination reason: Instruction limit
% 9.15/2.08 % (1299072)Termination phase: Saturation
% 9.15/2.08 % (1299072)Time elapsed: 0.110 s
% 9.15/2.08 % (1299072)Peak memory usage: 14 MB
% 9.15/2.08 % (1299072)Instructions burned: 247 (million)
% 9.15/2.08 % (1299078)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2203452786:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/874Mi)
% 9.15/2.08 % (1299067)Instruction limit reached!
% 9.15/2.08 % (1299067)------------------------------
% 9.15/2.08 % (1299067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.08 % (1299067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.08 % (1299067)CaDiCaL version: 2.1.3
% 9.15/2.08 % (1299067)Termination reason: Instruction limit
% 9.15/2.08 % (1299067)Termination phase: Saturation
% 9.15/2.08 % (1299067)Time elapsed: 0.147 s
% 9.15/2.08 % (1299067)Peak memory usage: 13 MB
% 9.15/2.08 % (1299067)Instructions burned: 180 (million)
% 9.15/2.08 % (1299080)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3168185493:st=1.5:i=130:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/130Mi)
% 9.15/2.08 % (1299079)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2365698714:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/515Mi)
% 9.15/2.08 % (1299082)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1841350:i=44:ep=R:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/44Mi)
% 9.15/2.08 % (1299080)Instruction limit reached!
% 9.15/2.08 % (1299080)------------------------------
% 9.15/2.08 % (1299080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.08 % (1299080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.08 % (1299080)CaDiCaL version: 2.1.3
% 9.15/2.08 % (1299080)Termination reason: Instruction limit
% 9.15/2.08 % (1299080)Termination phase: Saturation
% 9.15/2.08 % (1299080)Time elapsed: 0.054 s
% 9.15/2.08 % (1299080)Peak memory usage: 12 MB
% 9.15/2.08 % (1299080)Instructions burned: 132 (million)
% 9.15/2.08 % (1299082)Instruction limit reached!
% 9.15/2.08 % (1299082)------------------------------
% 9.15/2.08 % (1299082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.08 % (1299082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.08 % (1299082)CaDiCaL version: 2.1.3
% 9.15/2.08 % (1299082)Termination reason: Instruction limit
% 9.15/2.08 % (1299082)Termination phase: Property scanning
% 9.15/2.08 % (1299082)Time elapsed: 0.036 s
% 9.15/2.08 % (1299082)Peak memory usage: 10 MB
% 9.15/2.08 % (1299082)Instructions burned: 44 (million)
% 9.15/2.08 % (1299086)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2106952004:s2a=on:i=571:nm=16:rtra=on_2987 on theBenchmark for (2987ds/571Mi)
% 9.15/2.08 % (1299087)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1354161670:i=450:rtra=on:ixr=off:ntd=on_2987 on theBenchmark for (2987ds/450Mi)
% 9.15/2.08 % (1299076)Instruction limit reached!
% 9.15/2.08 % (1299076)------------------------------
% 9.15/2.08 % (1299076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.08 % (1299076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.08 % (1299076)CaDiCaL version: 2.1.3
% 9.15/2.08 % (1299076)Termination reason: Instruction limit
% 9.15/2.08 % (1299076)Termination phase: Saturation
% 9.15/2.08 % (1299076)Time elapsed: 0.328 s
% 9.15/2.08 % (1299076)Peak memory usage: 15 MB
% 9.15/2.08 % (1299076)Instructions burned: 427 (million)
% 9.15/2.08 % (1299090)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=674802898:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/95Mi)
% 9.15/2.08 % (1299086)Instruction limit reached!
% 9.15/2.08 % (1299086)------------------------------
% 9.15/2.08 % (1299086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.08 % (1299086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.08 % (1299086)CaDiCaL version: 2.1.3
% 9.15/2.08 % (1299086)Termination reason: Instruction limit
% 9.15/2.08 % (1299086)Termination phase: Saturation
% 9.15/2.08 % (1299086)Time elapsed: 0.259 s
% 9.15/2.08 % (1299086)Peak memory usage: 17 MB
% 9.15/2.11 % (1299086)Instructions burned: 573 (million)
% 9.15/2.11 % (1299044)Instruction limit reached!
% 9.15/2.11 % (1299044)------------------------------
% 9.15/2.11 % (1299044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299044)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299044)Termination reason: Instruction limit
% 9.15/2.11 % (1299044)Termination phase: Saturation
% 9.15/2.11 % (1299044)Time elapsed: 0.829 s
% 9.15/2.11 % (1299044)Peak memory usage: 21 MB
% 9.15/2.11 % (1299044)Instructions burned: 854 (million)
% 9.15/2.11 % (1299021)Instruction limit reached!
% 9.15/2.11 % (1299021)------------------------------
% 9.15/2.11 % (1299021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299021)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299021)Termination reason: Instruction limit
% 9.15/2.11 % (1299021)Termination phase: Saturation
% 9.15/2.11 % (1299021)Time elapsed: 1.070 s
% 9.15/2.11 % (1299021)Peak memory usage: 18 MB
% 9.15/2.11 % (1299021)Instructions burned: 1241 (million)
% 9.15/2.11 % (1299087)Instruction limit reached!
% 9.15/2.11 % (1299087)------------------------------
% 9.15/2.11 % (1299087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299087)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299087)Termination reason: Instruction limit
% 9.15/2.11 % (1299087)Termination phase: Saturation
% 9.15/2.11 % (1299087)Time elapsed: 0.277 s
% 9.15/2.11 % (1299087)Peak memory usage: 20 MB
% 9.15/2.11 % (1299087)Instructions burned: 450 (million)
% 9.15/2.11 % (1299095)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=948651670:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/375Mi)
% 9.15/2.11 % (1299079)Instruction limit reached!
% 9.15/2.11 % (1299079)------------------------------
% 9.15/2.11 % (1299079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299079)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299079)Termination reason: Instruction limit
% 9.15/2.11 % (1299079)Termination phase: Saturation
% 9.15/2.11 % (1299079)Time elapsed: 0.398 s
% 9.15/2.11 % (1299079)Peak memory usage: 15 MB
% 9.15/2.11 % (1299079)Instructions burned: 515 (million)
% 9.15/2.11 % (1299092)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=35799394:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2985 on theBenchmark for (2985ds/65Mi)
% 9.15/2.11 % (1299093)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1565825067:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2984 on theBenchmark for (2984ds/105Mi)
% 9.15/2.11 % (1299094)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3111607609:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2984 on theBenchmark for (2984ds/5755Mi)
% 9.15/2.11 % (1299090)Instruction limit reached!
% 9.15/2.11 % (1299090)------------------------------
% 9.15/2.11 % (1299090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299090)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299090)Termination reason: Instruction limit
% 9.15/2.11 % (1299090)Termination phase: Saturation
% 9.15/2.11 % (1299090)Time elapsed: 0.091 s
% 9.15/2.11 % (1299090)Peak memory usage: 13 MB
% 9.15/2.11 % (1299090)Instructions burned: 97 (million)
% 9.15/2.11 % (1299101)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=1306911645:cond=on:i=34:hud=10:nm=10:rtra=on_2984 on theBenchmark for (2984ds/34Mi)
% 9.15/2.11 % (1299098)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=172011642:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/495Mi)
% 9.15/2.11 % (1299092)Instruction limit reached!
% 9.15/2.11 % (1299092)------------------------------
% 9.15/2.11 % (1299092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299092)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299092)Termination reason: Instruction limit
% 9.15/2.11 % (1299092)Termination phase: Property scanning
% 9.15/2.11 % (1299092)Time elapsed: 0.050 s
% 9.15/2.11 % (1299092)Peak memory usage: 11 MB
% 9.15/2.11 % (1299092)Instructions burned: 66 (million)
% 9.15/2.11 % (1299101)Instruction limit reached!
% 9.15/2.11 % (1299101)------------------------------
% 9.15/2.11 % (1299101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299101)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299101)Termination reason: Instruction limit
% 9.15/2.11 % (1299101)Termination phase: Property scanning
% 9.15/2.11 % (1299101)Time elapsed: 0.022 s
% 9.15/2.11 % (1299101)Peak memory usage: 10 MB
% 9.15/2.11 % (1299101)Instructions burned: 35 (million)
% 9.15/2.11 % (1299104)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=679861665:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/91Mi)
% 9.15/2.11 % (1299105)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=878095402:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2983 on theBenchmark for (2983ds/66Mi)
% 9.15/2.11 % (1299093)Instruction limit reached!
% 9.15/2.11 % (1299093)------------------------------
% 9.15/2.11 % (1299093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299093)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299093)Termination reason: Instruction limit
% 9.15/2.11 % (1299093)Termination phase: Saturation
% 9.15/2.11 % (1299093)Time elapsed: 0.082 s
% 9.15/2.11 % (1299093)Peak memory usage: 12 MB
% 9.15/2.11 % (1299093)Instructions burned: 105 (million)
% 9.15/2.11 % (1299108)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4211128760:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2983 on theBenchmark for (2983ds/22Mi)
% 9.15/2.11 % (1299108)Instruction limit reached!
% 9.15/2.11 % (1299108)------------------------------
% 9.15/2.11 % (1299108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299108)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299108)Termination reason: Instruction limit
% 9.15/2.11 % (1299108)Termination phase: Property scanning
% 9.15/2.11 % (1299108)Time elapsed: 0.011 s
% 9.15/2.11 % (1299108)Peak memory usage: 10 MB
% 9.15/2.11 % (1299108)Instructions burned: 24 (million)
% 9.15/2.11 % (1299105)Instruction limit reached!
% 9.15/2.11 % (1299105)------------------------------
% 9.15/2.11 % (1299105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299105)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299105)Termination reason: Instruction limit
% 9.15/2.11 % (1299105)Termination phase: Property scanning
% 9.15/2.11 % (1299105)Time elapsed: 0.036 s
% 9.15/2.11 % (1299105)Peak memory usage: 12 MB
% 9.15/2.11 % (1299105)Instructions burned: 67 (million)
% 9.15/2.11 % (1299110)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=1084546319:i=338:bd=all:ins=4:rtra=on_2983 on theBenchmark for (2983ds/338Mi)
% 9.15/2.11 % (1299111)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4530117:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/28Mi)
% 9.15/2.11 % (1299104)Instruction limit reached!
% 9.15/2.11 % (1299104)------------------------------
% 9.15/2.11 % (1299104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299104)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299104)Termination reason: Instruction limit
% 9.15/2.11 % (1299104)Termination phase: Property scanning
% 9.15/2.11 % (1299104)Time elapsed: 0.075 s
% 9.15/2.11 % (1299104)Peak memory usage: 12 MB
% 9.15/2.11 % (1299104)Instructions burned: 94 (million)
% 9.15/2.11 % (1299111)Instruction limit reached!
% 9.15/2.11 % (1299111)------------------------------
% 9.15/2.11 % (1299111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.11 % (1299111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.11 % (1299111)CaDiCaL version: 2.1.3
% 9.15/2.11 % (1299111)Termination reason: Instruction limit
% 9.15/2.11 % (1299111)Termination phase: Property scanning
% 9.15/2.11 % (1299111)Time elapsed: 0.024 s
% 9.15/2.11 % (1299111)Peak memory usage: 10 MB
% 9.15/2.11 % (1299111)Instructions burned: 28 (million)
% 9.15/2.11 % (1299095) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1298952-1299095"...
% 9.15/2.11 % (1299095)...printing done.
% 9.15/2.11 % (1299114)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 9.15/2.11 % (1299095)Refutation found. Thanks to Tanya!
% 9.15/2.11 % SZS status Theorem for theBenchmark
% 9.15/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 9.15/2.12 % (1299095)------------------------------
% 9.15/2.12 % (1299095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.15/2.12 % (1299095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.12 % (1299095)CaDiCaL version: 2.1.3
% 9.15/2.12 % (1299095)Termination reason: Refutation
% 9.15/2.12 % (1299095)Time elapsed: 0.212 s
% 9.15/2.12 % (1299095)Peak memory usage: 14 MB
% 9.15/2.12 % (1299095)Instructions burned: 245 (million)
% 9.15/2.12 % (1298952)Success in time 1.795 s
% 9.15/2.12 % Vampire exiting
%------------------------------------------------------------------------------