%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU710^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:30:53 AM UTC 2026
% Result : Theorem 2.54s 0.79s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 104 ( 35 unt; 0 typ; 12 def)
% Number of atoms : 4053 (1071 equ; 0 cnn)
% Maximal formula atoms : 229 ( 38 avg)
% Number of connectives : 2245 ( 111 ~; 99 |; 708 &; 383 @)
% ( 20 <=>; 924 =>; 0 <=; 0 <~>)
% Maximal formula depth : 237 ( 19 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 460 ( 457 usr; 269 con; 0-4 aty)
% Number of variables : 127 ( 0 sgn 103 !; 24 ?; 127 :)
% 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,
setukpairinjR: $o ).
thf(func_def_202,type,
ksndsingleton: $o ).
thf(func_def_203,type,
ksnd: $i > $i ).
thf(func_def_204,type,
ksndpairEq: $o ).
thf(func_def_205,type,
kpairsurjEq: $o ).
thf(func_def_206,type,
cartprodsndin: $o ).
thf(func_def_207,type,
cartprodpairmemEL: $o ).
thf(func_def_208,type,
cartprodpairmemER: $o ).
thf(func_def_209,type,
cartprodmempaircEq: $o ).
thf(func_def_210,type,
cartprodfstpairEq: $o ).
thf(func_def_211,type,
cartprodsndpairEq: $o ).
thf(func_def_212,type,
cartprodpairsurjEq: $o ).
thf(func_def_213,type,
breln: $i > $i > $i > $o ).
thf(func_def_214,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_215,type,
dpsetconstrI: $o ).
thf(func_def_216,type,
dpsetconstrSub: $o ).
thf(func_def_217,type,
setOfPairsIsBReln: $o ).
thf(func_def_218,type,
dpsetconstrERa: $o ).
thf(func_def_219,type,
dpsetconstrEL1: $o ).
thf(func_def_220,type,
dpsetconstrEL2: $o ).
thf(func_def_221,type,
dpsetconstrER: $o ).
thf(func_def_222,type,
func: $i > $i > $i > $o ).
thf(func_def_223,type,
funcSet: $i > $i > $i ).
thf(func_def_224,type,
funcImageSingleton: $o ).
thf(func_def_225,type,
apProp: $o ).
thf(func_def_226,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_227,type,
app: $o ).
thf(func_def_228,type,
infuncsetfunc: $o ).
thf(func_def_229,type,
ap2p: $o ).
thf(func_def_230,type,
funcinfuncset: $o ).
thf(func_def_231,type,
lamProp: $o ).
thf(func_def_232,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(func_def_233,type,
lamp: $o ).
thf(func_def_234,type,
lam2p: $o ).
thf(func_def_235,type,
brelnall1: $o ).
thf(func_def_236,type,
brelnall2: $o ).
thf(func_def_237,type,
ex1E2: $o ).
thf(func_def_238,type,
funcGraphProp1: $o ).
thf(func_def_239,type,
funcGraphProp3: $o ).
thf(func_def_240,type,
funcGraphProp2: $o ).
thf(func_def_241,type,
funcextLem: $o ).
thf(func_def_242,type,
funcGraphProp4: $o ).
thf(func_def_243,type,
subbreln: $o ).
thf(func_def_244,type,
eqbreln: $o ).
thf(func_def_245,type,
funcext: $o ).
thf(func_def_246,type,
funcext2: $o ).
thf(func_def_247,type,
ap2apEq1: $o ).
thf(func_def_248,type,
ap2apEq2: $o ).
thf(func_def_249,type,
beta1: $o ).
thf(func_def_250,type,
eta1: $o ).
thf(func_def_251,type,
lam2lamEq: $o ).
thf(func_def_252,type,
beta2: $o ).
thf(func_def_253,type,
eta2: $o ).
thf(func_def_254,type,
iffalseProp1: $o ).
thf(func_def_255,type,
iffalseProp2: $o ).
thf(func_def_256,type,
iftrueProp1: $o ).
thf(func_def_257,type,
iftrueProp2: $o ).
thf(func_def_258,type,
ifSingleton: $o ).
thf(func_def_259,type,
if: $i > $o > $i > $i > $i ).
thf(func_def_260,type,
ifp: $o ).
thf(func_def_261,type,
theeq: $o ).
thf(func_def_262,type,
iftrue: $o ).
thf(func_def_263,type,
iffalse: $o ).
thf(func_def_264,type,
iftrueorfalse: $o ).
thf(func_def_267,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_268,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_269,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_270,type,
vOR: $o > $o > $o ).
thf(func_def_271,type,
vAND: $o > $o > $o ).
thf(func_def_272,type,
vNOT: $o > $o ).
thf(func_def_273,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_274,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_275,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_276,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_277,type,
vIMP: $o > $o > $o ).
thf(func_def_278,type,
sP0: $i > $i > $o ).
thf(func_def_279,type,
sP1: $i > $o ).
thf(func_def_288,type,
sK10: $i > $i ).
thf(func_def_293,type,
sK15: $i > $i > $i ).
thf(func_def_296,type,
sK18: $i > $i ).
thf(func_def_298,type,
sK20: ( $i > $i ) > $i > $i > $i ).
thf(func_def_300,type,
sK22: $i > $i > $o ).
thf(func_def_305,type,
sK27: $i > $o ).
thf(func_def_310,type,
sK32: $i > $o ).
thf(func_def_317,type,
sK39: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_318,type,
sK40: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_319,type,
sK41: $i > $o ).
thf(func_def_320,type,
sK42: $i > $o ).
thf(func_def_324,type,
sK46: $i > $o ).
thf(func_def_326,type,
sK48: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_327,type,
sK49: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_336,type,
sK58: $i > $i > $o ).
thf(func_def_337,type,
sK59: $i > $i > $i > $i > $i ).
thf(func_def_342,type,
sK64: $i > $o ).
thf(func_def_345,type,
sK67: $i > ( $i > $o ) > $i ).
thf(func_def_346,type,
sK68: $i > ( $i > $o ) > $i ).
thf(func_def_355,type,
sK77: $i > $i > $i > $i > $i ).
thf(func_def_356,type,
sK78: $i > $i > $i > $i > $i ).
thf(func_def_357,type,
sK79: $i > $i > $i > $i > $i ).
thf(func_def_358,type,
sK80: $i > $i > $i > $i > $i ).
thf(func_def_360,type,
sK82: $i > $i > $o ).
thf(func_def_368,type,
sK90: $i > $i > $i > $i > $i ).
thf(func_def_369,type,
sK91: $i > $i > $i > $i > $i ).
thf(func_def_375,type,
sK97: $i > $o ).
thf(func_def_385,type,
sK107: $i > $i > $i ).
thf(func_def_393,type,
sK115: ( $i > $o ) > $i ).
thf(func_def_394,type,
sK116: $i > $o ).
thf(func_def_395,type,
sK117: $i > $i ).
thf(func_def_400,type,
sK122: $o ).
thf(func_def_405,type,
sK127: $o ).
thf(func_def_413,type,
sK135: $i > $i > $i ).
thf(func_def_414,type,
sK136: $i > $i > $i ).
thf(func_def_415,type,
sK137: $i > $i > $i ).
thf(func_def_418,type,
sK140: $i > $o ).
thf(func_def_421,type,
sK143: $i > ( $i > $o ) > $i ).
thf(func_def_422,type,
sK144: $i > $i > $i ).
thf(func_def_431,type,
sK153: $i > $i > $i ).
thf(func_def_435,type,
sK157: $o ).
thf(func_def_438,type,
sK160: $i > $o ).
thf(func_def_441,type,
sK163: $i > ( $i > $o ) > $i ).
thf(func_def_444,type,
sK166: $i > $i ).
thf(func_def_445,type,
sK167: $i > $i ).
thf(func_def_450,type,
sK172: $i > $i ).
thf(func_def_454,type,
sK176: $o ).
thf(func_def_467,type,
sK189: $o ).
thf(func_def_473,type,
sK195: $i > $o ).
thf(func_def_475,type,
sK197: $i > ( $i > $o ) > $i ).
thf(func_def_482,type,
sK204: $i > $i > $o ).
thf(func_def_499,type,
sK221: ( $i > $i ) > $i > $i > $i ).
thf(func_def_502,type,
sK224: $i > $i ).
thf(func_def_513,type,
sK235: $i > $i > $i > $i > $i ).
thf(func_def_525,type,
sK247: $i > $o ).
thf(func_def_532,type,
sK254: $i > $o ).
thf(func_def_534,type,
sK256: $i > ( $i > $o ) > $i ).
thf(func_def_535,type,
sK257: $i > $o ).
thf(func_def_536,type,
sK258: ( $i > $o ) > $i ).
thf(func_def_538,type,
sK260: $o ).
thf(func_def_549,type,
sK271: $i > $i > $i > $i > $i ).
thf(func_def_551,type,
sK273: $o ).
thf(func_def_553,type,
sK275: $o ).
thf(func_def_559,type,
sK281: $i > $o ).
thf(func_def_575,type,
sK297: $o ).
thf(func_def_577,type,
sK299: $i > $o ).
thf(func_def_578,type,
sK300: $i > $o ).
thf(func_def_579,type,
sK301: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_580,type,
sK302: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_581,type,
sK303: $i > $i > ( $i > $i ) > $i ).
thf(func_def_582,type,
sK304: $i > $i ).
thf(func_def_592,type,
sK314: $o ).
thf(func_def_618,type,
sK340: $i > $i ).
thf(func_def_621,type,
sK343: $o ).
thf(func_def_622,type,
sK344: $i > $o ).
thf(func_def_628,type,
sK350: $i > $i ).
thf(func_def_630,type,
sK352: $i > ( $i > $i ) > $i > $i ).
thf(func_def_633,type,
sK355: ( $i > $i ) > $i > $i > $i ).
thf(func_def_636,type,
sK358: $i > $i ).
thf(func_def_638,type,
sK360: $o > $i > $i > $i ).
thf(func_def_641,type,
sK363: $o ).
thf(func_def_642,type,
sK364: ( $i > $o ) > $i > $i ).
thf(func_def_644,type,
sK366: $i > $o ).
thf(func_def_669,type,
sK391: $i > $o ).
thf(func_def_673,type,
sK395: $i > ( $i > $o ) > $i ).
thf(func_def_674,type,
sK396: $i > ( $i > $o ) > $i ).
thf(func_def_675,type,
sK397: $i > $o ).
thf(func_def_700,type,
sK422: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_701,type,
sK423: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_704,type,
sK426: $i > $o ).
thf(func_def_705,type,
sK427: $i > $o ).
thf(func_def_719,type,
sK441: $o ).
thf(func_def_726,type,
sK448: $o ).
thf(func_def_729,type,
sK451: $i > $o ).
thf(func_def_731,type,
sK453: ( $i > $o ) > $i > $i ).
thf(func_def_732,type,
sK454: $i > $i ).
thf(func_def_733,type,
sK455: $i > $i ).
thf(func_def_734,type,
sK456: $i > $i ).
thf(func_def_735,type,
sK457: $i > $i ).
thf(func_def_736,type,
sK458: $i > $i > $i ).
thf(func_def_737,type,
sK459: $i > $i > $i > $i ).
thf(func_def_738,type,
sK460: $i > $i > $i > $i ).
thf(func_def_739,type,
sK461: $i > $i > $i > $i ).
thf(func_def_740,type,
sK462: $i > $i > $i ).
thf(func_def_741,type,
sK463: $i > $i > $i ).
thf(func_def_742,type,
sK464: $i > $i > $i ).
thf(func_def_743,type,
sK465: $i > $i > $i ).
thf(func_def_744,type,
sK466: $i > $i ).
thf(func_def_745,type,
sK467: $i > $i > $i > $i ).
thf(func_def_747,type,
sK469: $i > $i ).
thf(func_def_748,type,
sK470: $i > $i ).
thf(func_def_749,type,
sK471: $i > $i ).
thf(func_def_750,type,
sK472: $i > $i ).
thf(func_def_755,type,
sK477: $i > $o ).
thf(func_def_757,type,
sK479: ( $i > $o ) > $i ).
thf(func_def_758,type,
sK480: ( $i > $o ) > $i ).
thf(func_def_759,type,
sK481: $i > $i > $i ).
thf(func_def_766,type,
sK488: $i > $i > $o ).
thf(func_def_780,type,
sK502: $i > $i > $o ).
thf(func_def_786,type,
sK508: $i > $i ).
thf(func_def_803,type,
sK525: $i > $o ).
thf(func_def_807,type,
sK529: $i > $o ).
thf(func_def_819,type,
sK541: $i > $o ).
thf(func_def_841,type,
sK563: $i > $o ).
thf(func_def_844,type,
sK566: $i > ( $i > $o ) > $i ).
thf(func_def_852,type,
sK574: $i > $i > $o ).
thf(func_def_853,type,
sK575: $i > $i ).
thf(func_def_854,type,
sK576: $i > $i ).
thf(func_def_855,type,
sK577: ( $i > $i > $o ) > $i > $i ).
thf(func_def_856,type,
sK578: ( $i > $i > $o ) > $i > $i ).
thf(func_def_857,type,
sK579: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_861,type,
sK583: $i > $i > $i ).
thf(func_def_875,type,
sK597: $i > $i > $o ).
thf(func_def_882,type,
sK604: $i > $i > $i > $i ).
thf(func_def_883,type,
sK605: $i > $i > $i > $i ).
thf(func_def_884,type,
sK606: $i > $o ).
thf(func_def_886,type,
sK608: $i > ( $i > $o ) > $i ).
thf(func_def_900,type,
sK622: $i > $o ).
thf(func_def_908,type,
sK630: $o ).
thf(func_def_917,type,
sK639: $i > $o ).
thf(func_def_922,type,
sK644: $o ).
thf(func_def_927,type,
sK649: $i > $i ).
thf(func_def_928,type,
sK650: ( $i > $i ) > $i > $i > $i ).
thf(func_def_932,type,
sK654: $i > $o ).
thf(func_def_934,type,
sK656: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_935,type,
sK657: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_943,type,
sK665: $o ).
thf(func_def_946,type,
sK668: $i > $o ).
thf(func_def_948,type,
sK670: $i > $o ).
thf(func_def_951,type,
sK673: $i > $i > ( $i > $o ) > $i ).
thf(func_def_953,type,
sK675: $i > $i ).
thf(func_def_959,type,
sK681: $i > ( $i > $o ) > $i ).
thf(func_def_960,type,
sK682: $i > $o ).
thf(func_def_965,type,
sK687: $i > $i > $i ).
thf(func_def_976,type,
sK698: ( $i > $o ) > $i ).
thf(func_def_977,type,
sK699: $i > $o ).
thf(func_def_978,type,
sK700: $i > $i ).
thf(f89,axiom,
! [X1: $i,X2: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
=> ( ( subset @ X1 @ X2 )
=> ( subset @ X0 @ X2 ) ) )
= subsetTrans ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetTrans) ).
thf(f92,axiom,
! [X1: $i,X0: $i] :
( ( ( subset @ X0 @ X1 )
=> ( in @ X0 @ ( powerset @ X1 ) ) )
= subset2powerset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset2powerset) ).
thf(f96,axiom,
( powersetE1
= ( ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( subset @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetE1) ).
thf(f111,axiom,
( binintersectLsub
= ( ! [X0: $i,X1: $i] : ( subset @ ( binintersect @ X0 @ X1 ) @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectLsub) ).
thf(f231,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
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectT_lem) ).
thf(f232,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
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f231]) ).
thf(f292,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
=> ( in @ X1 @ ( powerset @ X0 ) ) )
= subset2powerset ),
inference(rectify,[],[f92]) ).
thf(f293,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
=> ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
<=> ( subset2powerset = $true ) ),
inference(fool_elimination,[],[f292]) ).
thf(f406,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
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f232]) ).
thf(f407,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 )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ( ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ X0 ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f406]) ).
thf(f511,plain,
( powersetE1
= ( ! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
=> ( subset @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f96]) ).
thf(f512,plain,
( ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ( ( subset @ X0 @ X1 )
= $true ) )
<=> ( powersetE1 = $true ) ),
inference(fool_elimination,[],[f511]) ).
thf(f541,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
=> ( ( subset @ X0 @ X1 )
=> ( subset @ X2 @ X1 ) ) )
= subsetTrans ),
inference(rectify,[],[f89]) ).
thf(f542,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
= $true )
=> ( ( ( subset @ X0 @ X1 )
= $true )
=> ( ( subset @ X2 @ X1 )
= $true ) ) )
<=> ( subsetTrans = $true ) ),
inference(fool_elimination,[],[f541]) ).
thf(f596,plain,
( binintersectLsub
= ( ! [X0: $i,X1: $i] : ( subset @ ( binintersect @ X0 @ X1 ) @ X0 ) ) ),
inference(rectify,[],[f111]) ).
thf(f597,plain,
( ! [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X0 )
= $true )
<=> ( binintersectLsub = $true ) ),
inference(fool_elimination,[],[f596]) ).
thf(f739,plain,
( ( subset2powerset = $true )
<=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) ) ),
inference(ennf_transformation,[],[f293]) ).
thf(f753,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X1 )
= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X2 @ X0 )
!= $true ) )
<=> ( subsetTrans = $true ) ),
inference(ennf_transformation,[],[f542]) ).
thf(f754,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X2 @ X0 )
!= $true )
| ( ( subset @ X2 @ X1 )
= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) )
<=> ( subsetTrans = $true ) ),
inference(flattening,[],[f753]) ).
thf(f900,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
<=> ( powersetE1 = $true ) ),
inference(ennf_transformation,[],[f512]) ).
thf(f963,plain,
( ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ? [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
& ( ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ X0 ) )
!= $true ) ) )
& ( iftrueorfalse = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( theeq = $true )
& ( ifp = $true )
& ( ifSingleton = $true )
& ( iftrueProp2 = $true )
& ( iftrueProp1 = $true )
& ( iffalseProp2 = $true )
& ( iffalseProp1 = $true )
& ( eta2 = $true )
& ( beta2 = $true )
& ( lam2lamEq = $true )
& ( eta1 = $true )
& ( beta1 = $true )
& ( ap2apEq2 = $true )
& ( ap2apEq1 = $true )
& ( funcext2 = $true )
& ( funcext = $true )
& ( eqbreln = $true )
& ( subbreln = $true )
& ( funcGraphProp4 = $true )
& ( funcextLem = $true )
& ( funcGraphProp2 = $true )
& ( funcGraphProp3 = $true )
& ( funcGraphProp1 = $true )
& ( ex1E2 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( lam2p = $true )
& ( lamp = $true )
& ( lamProp = $true )
& ( funcinfuncset = $true )
& ( ap2p = $true )
& ( infuncsetfunc = $true )
& ( app = $true )
& ( apProp = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrER = $true )
& ( dpsetconstrEL2 = $true )
& ( dpsetconstrEL1 = $true )
& ( dpsetconstrERa = $true )
& ( setOfPairsIsBReln = $true )
& ( dpsetconstrSub = $true )
& ( dpsetconstrI = $true )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( 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,[],[f407]) ).
thf(f964,plain,
( ( subsetI1 = $true )
& ( powersetI = $true )
& ( setukpairinjL2 = $true )
& ( vacuousDall = $true )
& ( binintersectEL = $true )
& ( funcImageSingleton = $true )
& ( setukpairinjR = $true )
& ( funcGraphProp1 = $true )
& ( setadjoinAx = $true )
& ( binintersectI = $true )
& ( upairsubunion = $true )
& ( uniqinunit = $true )
& ( exu__Cong = $true )
& ( notdallE = $true )
& ( descrp = $true )
& ( setextsub = $true )
& ( dpsetconstrEL1 = $true )
& ( sepInPowerset = $true )
& ( binunionIL = $true )
& ( upairequniteq = $true )
& ( binunionLsub = $true )
& ( emptysetAx = $true )
& ( ex1E2 = $true )
& ( symdiffIneg1 = $true )
& ( setunionAx = $true )
& ( notequalI1 = $true )
& ( infuncsetfunc = $true )
& ( iffalseProp1 = $true )
& ( binintersectSubset2 = $true )
& ( nonemptyI = $true )
& ( nonemptyImpWitness = $true )
& ( kfstsingleton = $true )
& ( setadjoinE = $true )
& ( setunionsingleton2 = $true )
& ( notdexE = $true )
& ( setminusEL = $true )
& ( singletoninpowerset = $true )
& ( iftrueorfalse = $true )
& ( omega__Cong = $true )
& ( funcGraphProp4 = $true )
& ( setadjoin__Cong = $true )
& ( setukpairinjR11 = $true )
& ( eqimpsubset1 = $true )
& ( setext = $true )
& ( setbeta = $true )
& ( nonemptyI1 = $true )
& ( binintersectSubset5 = $true )
& ( setadjoinSub = $true )
& ( binintersectSubset4 = $true )
& ( emptyinPowerset = $true )
& ( quantDeMorgan1 = $true )
& ( setunionsingleton1 = $true )
& ( bs114d = $true )
& ( subsetRefl = $true )
& ( quantDeMorgan3 = $true )
& ( subbreln = $true )
& ( subsetemptysetimpeq = $true )
& ( ex1I = $true )
& ( binintersectSubset1 = $true )
& ( descr__Cong = $true )
& ( lam2p = $true )
& ( cartprodpairin = $true )
& ( kpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( theeq = $true )
& ( iftrue = $true )
& ( setadjoinOr = $true )
& ( notinemptyset = $true )
& ( emptyInPowerset = $true )
& ( ubforcartprodlem3 = $true )
& ( singletoninpowunion = $true )
& ( setminusERneg = $true )
& ( powersetE = $true )
& ( theprop = $true )
& ( setOfPairsIsBReln = $true )
& ( apProp = $true )
& ( disjointsetsI1 = $true )
& ( setukpairinjR12 = $true )
& ( secondinupair = $true )
& ( beta2 = $true )
& ( funcinfuncset = $true )
& ( setukpairinjR1 = $true )
& ( setukpairIL = $true )
& ( dsetconstrER = $true )
& ( subPowSU = $true )
& ( powersetI1 = $true )
& ( setunionE2 = $true )
& ( prop2set2propI = $true )
& ( notinsingleton = $true )
& ( ex1I2 = $true )
& ( eta1 = $true )
& ( replAx = $true )
& ( dpsetconstrI = $true )
& ( setminusELneg = $true )
& ( eqbreln = $true )
& ( setunionsingleton = $true )
& ( setoftrueEq = $true )
& ( brelnall2 = $true )
& ( dpsetconstrEL2 = $true )
& ( setextAx = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodpairmemEL = $true )
& ( wellorderingAx = $true )
& ( cartprodmempaircEq = $true )
& ( kpairiskpair = $true )
& ( setunionI = $true )
& ( subsetE = $true )
& ( iftrueProp2 = $true )
& ( dsetconstrEL = $true )
& ( binintersectSubset3 = $true )
& ( setadjoinIL = $true )
& ( nonemptyE1 = $true )
& ( setadjoinSub2 = $true )
& ( singletonsuniq = $true )
& ( noeltsimpempty = $true )
& ( setminusSubset2 = $true )
& ( exuE3e = $true )
& ( kpairp = $true )
& ( upairsetE = $true )
& ( funcGraphProp3 = $true )
& ( foundationAx = $true )
& ( symdiffE = $true )
& ( setminusI = $true )
& ( sepSubset = $true )
& ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ? [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
& ( ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ X0 ) )
!= $true ) ) )
& ( setukpairinjL1 = $true )
& ( in__Cong = $true )
& ( ex1E1 = $true )
& ( funcextLem = $true )
& ( lamProp = $true )
& ( inCongP = $true )
& ( dpsetconstrSub = $true )
& ( binunionIR = $true )
& ( cartprodsndin = $true )
& ( subsetTrans = $true )
& ( emptyinunitempty = $true )
& ( setukpairinjR2 = $true )
& ( binintersectRsub = $true )
& ( setminusILneg = $true )
& ( setadjoinIR = $true )
& ( cartprodpairsurjEq = $true )
& ( inPowerset = $true )
& ( singletonprop = $true )
& ( omega0Ax = $true )
& ( quantDeMorgan2 = $true )
& ( subsetI2 = $true )
& ( ifp = $true )
& ( symdiffI1 = $true )
& ( setminusSubset1 = $true )
& ( emptyset__Cong = $true )
& ( setukpairinjL = $true )
& ( funcext = $true )
& ( exuI3 = $true )
& ( prop2setE = $true )
& ( symdiffIneg2 = $true )
& ( powersetAx = $true )
& ( lamp = $true )
& ( ksndsingleton = $true )
& ( notsubsetI = $true )
& ( cartprodpairmemER = $true )
& ( powersetsubset = $true )
& ( exuE3u = $true )
& ( setunion__Cong = $true )
& ( exuE2 = $true )
& ( binintersectLsub = $true )
& ( singletonsswitch = $true )
& ( setunionE = $true )
& ( omegaIndAx = $true )
& ( notequalI2 = $true )
& ( beta1 = $true )
& ( eta2 = $true )
& ( kfstpairEq = $true )
& ( upairsetIL = $true )
& ( exuE1 = $true )
& ( emptyI = $true )
& ( setminusLsub = $true )
& ( emptysetsubset = $true )
& ( ap2p = $true )
& ( setminusER = $true )
& ( upairsetIR = $true )
& ( setminusIRneg = $true )
& ( omegaSAx = $true )
& ( lam2lamEq = $true )
& ( ubforcartprodlem1 = $true )
& ( dpsetconstrERa = $true )
& ( upairset2E = $true )
& ( emptyE1 = $true )
& ( ap2apEq2 = $true )
& ( cartprodmempair1 = $true )
& ( quantDeMorgan4 = $true )
& ( subset2powerset = $true )
& ( brelnall1 = $true )
& ( funcext2 = $true )
& ( powerset__Cong = $true )
& ( exuEu = $true )
& ( iffalseProp2 = $true )
& ( app = $true )
& ( powersetE1 = $true )
& ( setukpairIR = $true )
& ( eqinunit = $true )
& ( prop2setI = $true )
& ( cartprodmempair = $true )
& ( cartprodfstin = $true )
& ( exuI2 = $true )
& ( binunionRsub = $true )
& ( ap2apEq1 = $true )
& ( ubforcartprodlem2 = $true )
& ( iftrueProp1 = $true )
& ( dpsetconstrER = $true )
& ( emptysetimpfalse = $true )
& ( dsetconstrI = $true )
& ( singletonsubset = $true )
& ( iffalse = $true )
& ( eqimpsubset2 = $true )
& ( binunionEcases = $true )
& ( funcGraphProp2 = $true )
& ( upairinpowunion = $true )
& ( emptysetE = $true )
& ( exuI1 = $true )
& ( subsetE2 = $true )
& ( symdiffI2 = $true )
& ( ifSingleton = $true )
& ( ksndpairEq = $true )
& ( dsetconstr__Cong = $true )
& ( binintersectER = $true )
& ( upairset2IR = $true )
& ( binunionE = $true ) ),
inference(flattening,[],[f963]) ).
thf(f1014,plain,
( ( ( subset2powerset = $true )
| ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
& ( ( subset @ X1 @ X0 )
= $true ) ) )
& ( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
| ( subset2powerset != $true ) ) ),
inference(nnf_transformation,[],[f739]) ).
thf(f1015,plain,
( ( ( subset2powerset = $true )
| ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
& ( ( subset @ X1 @ X0 )
= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( in @ X3 @ ( powerset @ X2 ) )
= $true )
| ( ( subset @ X3 @ X2 )
!= $true ) )
| ( subset2powerset != $true ) ) ),
inference(rectify,[],[f1014]) ).
thf(f1016,plain,
( ( ( subset2powerset = $true )
| ( ( ( in @ sK38 @ ( powerset @ sK37 ) )
!= $true )
& ( ( subset @ sK38 @ sK37 )
= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( in @ X3 @ ( powerset @ X2 ) )
= $true )
| ( ( subset @ X3 @ X2 )
!= $true ) )
| ( subset2powerset != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38]),skolemize(X0,sK37),skolemize(X1,sK38)],[f1015]) ).
thf(f1175,plain,
( ( ! [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X0 )
= $true )
| ( binintersectLsub != $true ) )
& ( ( binintersectLsub = $true )
| ? [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X0 )
!= $true ) ) ),
inference(nnf_transformation,[],[f597]) ).
thf(f1176,plain,
( ( ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true )
| ( binintersectLsub != $true ) )
& ( ( binintersectLsub = $true )
| ? [X2: $i,X3: $i] :
( ( subset @ ( binintersect @ X3 @ X2 ) @ X3 )
!= $true ) ) ),
inference(rectify,[],[f1175]) ).
thf(f1177,plain,
( ( ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true )
| ( binintersectLsub != $true ) )
& ( ( binintersectLsub = $true )
| ( ( subset @ ( binintersect @ sK216 @ sK215 ) @ sK216 )
!= $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK215,sK216]),skolemize(X2,sK215),skolemize(X3,sK216)],[f1176]) ).
thf(f1493,plain,
( ( ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X2 @ X0 )
!= $true )
| ( ( subset @ X2 @ X1 )
= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( subsetTrans != $true ) )
& ( ( subsetTrans = $true )
| ? [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X2 @ X0 )
= $true )
& ( ( subset @ X2 @ X1 )
!= $true )
& ( ( subset @ X0 @ X1 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f754]) ).
thf(f1494,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X0 @ X2 )
= $true )
| ( ( subset @ X1 @ X2 )
!= $true ) )
| ( subsetTrans != $true ) )
& ( ( subsetTrans = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( ( subset @ X3 @ X4 )
= $true )
& ( ( subset @ X3 @ X5 )
!= $true )
& ( ( subset @ X4 @ X5 )
= $true ) ) ) ),
inference(rectify,[],[f1493]) ).
thf(f1495,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X0 @ X2 )
= $true )
| ( ( subset @ X1 @ X2 )
!= $true ) )
| ( subsetTrans != $true ) )
& ( ( subsetTrans = $true )
| ( ( ( subset @ sK547 @ sK548 )
= $true )
& ( $true
!= ( subset @ sK547 @ sK549 ) )
& ( $true
= ( subset @ sK548 @ sK549 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK547,sK548,sK549]),skolemize(X3,sK547),skolemize(X4,sK548),skolemize(X5,sK549)],[f1494]) ).
thf(f1532,plain,
( ( subsetI1 = $true )
& ( powersetI = $true )
& ( setukpairinjL2 = $true )
& ( vacuousDall = $true )
& ( binintersectEL = $true )
& ( funcImageSingleton = $true )
& ( setukpairinjR = $true )
& ( funcGraphProp1 = $true )
& ( setadjoinAx = $true )
& ( binintersectI = $true )
& ( upairsubunion = $true )
& ( uniqinunit = $true )
& ( exu__Cong = $true )
& ( notdallE = $true )
& ( descrp = $true )
& ( setextsub = $true )
& ( dpsetconstrEL1 = $true )
& ( sepInPowerset = $true )
& ( binunionIL = $true )
& ( upairequniteq = $true )
& ( binunionLsub = $true )
& ( emptysetAx = $true )
& ( ex1E2 = $true )
& ( symdiffIneg1 = $true )
& ( setunionAx = $true )
& ( notequalI1 = $true )
& ( infuncsetfunc = $true )
& ( iffalseProp1 = $true )
& ( binintersectSubset2 = $true )
& ( nonemptyI = $true )
& ( nonemptyImpWitness = $true )
& ( kfstsingleton = $true )
& ( setadjoinE = $true )
& ( setunionsingleton2 = $true )
& ( notdexE = $true )
& ( setminusEL = $true )
& ( singletoninpowerset = $true )
& ( iftrueorfalse = $true )
& ( omega__Cong = $true )
& ( funcGraphProp4 = $true )
& ( setadjoin__Cong = $true )
& ( setukpairinjR11 = $true )
& ( eqimpsubset1 = $true )
& ( setext = $true )
& ( setbeta = $true )
& ( nonemptyI1 = $true )
& ( binintersectSubset5 = $true )
& ( setadjoinSub = $true )
& ( binintersectSubset4 = $true )
& ( emptyinPowerset = $true )
& ( quantDeMorgan1 = $true )
& ( setunionsingleton1 = $true )
& ( bs114d = $true )
& ( subsetRefl = $true )
& ( quantDeMorgan3 = $true )
& ( subbreln = $true )
& ( subsetemptysetimpeq = $true )
& ( ex1I = $true )
& ( binintersectSubset1 = $true )
& ( descr__Cong = $true )
& ( lam2p = $true )
& ( cartprodpairin = $true )
& ( kpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( theeq = $true )
& ( iftrue = $true )
& ( setadjoinOr = $true )
& ( notinemptyset = $true )
& ( emptyInPowerset = $true )
& ( ubforcartprodlem3 = $true )
& ( singletoninpowunion = $true )
& ( setminusERneg = $true )
& ( powersetE = $true )
& ( theprop = $true )
& ( setOfPairsIsBReln = $true )
& ( apProp = $true )
& ( disjointsetsI1 = $true )
& ( setukpairinjR12 = $true )
& ( secondinupair = $true )
& ( beta2 = $true )
& ( funcinfuncset = $true )
& ( setukpairinjR1 = $true )
& ( setukpairIL = $true )
& ( dsetconstrER = $true )
& ( subPowSU = $true )
& ( powersetI1 = $true )
& ( setunionE2 = $true )
& ( prop2set2propI = $true )
& ( notinsingleton = $true )
& ( ex1I2 = $true )
& ( eta1 = $true )
& ( replAx = $true )
& ( dpsetconstrI = $true )
& ( setminusELneg = $true )
& ( eqbreln = $true )
& ( setunionsingleton = $true )
& ( setoftrueEq = $true )
& ( brelnall2 = $true )
& ( dpsetconstrEL2 = $true )
& ( setextAx = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodpairmemEL = $true )
& ( wellorderingAx = $true )
& ( cartprodmempaircEq = $true )
& ( kpairiskpair = $true )
& ( setunionI = $true )
& ( subsetE = $true )
& ( iftrueProp2 = $true )
& ( dsetconstrEL = $true )
& ( binintersectSubset3 = $true )
& ( setadjoinIL = $true )
& ( nonemptyE1 = $true )
& ( setadjoinSub2 = $true )
& ( singletonsuniq = $true )
& ( noeltsimpempty = $true )
& ( setminusSubset2 = $true )
& ( exuE3e = $true )
& ( kpairp = $true )
& ( upairsetE = $true )
& ( funcGraphProp3 = $true )
& ( foundationAx = $true )
& ( symdiffE = $true )
& ( setminusI = $true )
& ( sepSubset = $true )
& ( ( in @ sK587 @ ( powerset @ sK586 ) )
= $true )
& ( ( in @ sK588 @ ( powerset @ sK586 ) )
= $true )
& ( $true
!= ( in @ ( binintersect @ sK587 @ sK588 ) @ ( powerset @ sK586 ) ) )
& ( setukpairinjL1 = $true )
& ( in__Cong = $true )
& ( ex1E1 = $true )
& ( funcextLem = $true )
& ( lamProp = $true )
& ( inCongP = $true )
& ( dpsetconstrSub = $true )
& ( binunionIR = $true )
& ( cartprodsndin = $true )
& ( subsetTrans = $true )
& ( emptyinunitempty = $true )
& ( setukpairinjR2 = $true )
& ( binintersectRsub = $true )
& ( setminusILneg = $true )
& ( setadjoinIR = $true )
& ( cartprodpairsurjEq = $true )
& ( inPowerset = $true )
& ( singletonprop = $true )
& ( omega0Ax = $true )
& ( quantDeMorgan2 = $true )
& ( subsetI2 = $true )
& ( ifp = $true )
& ( symdiffI1 = $true )
& ( setminusSubset1 = $true )
& ( emptyset__Cong = $true )
& ( setukpairinjL = $true )
& ( funcext = $true )
& ( exuI3 = $true )
& ( prop2setE = $true )
& ( symdiffIneg2 = $true )
& ( powersetAx = $true )
& ( lamp = $true )
& ( ksndsingleton = $true )
& ( notsubsetI = $true )
& ( cartprodpairmemER = $true )
& ( powersetsubset = $true )
& ( exuE3u = $true )
& ( setunion__Cong = $true )
& ( exuE2 = $true )
& ( binintersectLsub = $true )
& ( singletonsswitch = $true )
& ( setunionE = $true )
& ( omegaIndAx = $true )
& ( notequalI2 = $true )
& ( beta1 = $true )
& ( eta2 = $true )
& ( kfstpairEq = $true )
& ( upairsetIL = $true )
& ( exuE1 = $true )
& ( emptyI = $true )
& ( setminusLsub = $true )
& ( emptysetsubset = $true )
& ( ap2p = $true )
& ( setminusER = $true )
& ( upairsetIR = $true )
& ( setminusIRneg = $true )
& ( omegaSAx = $true )
& ( lam2lamEq = $true )
& ( ubforcartprodlem1 = $true )
& ( dpsetconstrERa = $true )
& ( upairset2E = $true )
& ( emptyE1 = $true )
& ( ap2apEq2 = $true )
& ( cartprodmempair1 = $true )
& ( quantDeMorgan4 = $true )
& ( subset2powerset = $true )
& ( brelnall1 = $true )
& ( funcext2 = $true )
& ( powerset__Cong = $true )
& ( exuEu = $true )
& ( iffalseProp2 = $true )
& ( app = $true )
& ( powersetE1 = $true )
& ( setukpairIR = $true )
& ( eqinunit = $true )
& ( prop2setI = $true )
& ( cartprodmempair = $true )
& ( cartprodfstin = $true )
& ( exuI2 = $true )
& ( binunionRsub = $true )
& ( ap2apEq1 = $true )
& ( ubforcartprodlem2 = $true )
& ( iftrueProp1 = $true )
& ( dpsetconstrER = $true )
& ( emptysetimpfalse = $true )
& ( dsetconstrI = $true )
& ( singletonsubset = $true )
& ( iffalse = $true )
& ( eqimpsubset2 = $true )
& ( binunionEcases = $true )
& ( funcGraphProp2 = $true )
& ( upairinpowunion = $true )
& ( emptysetE = $true )
& ( exuI1 = $true )
& ( subsetE2 = $true )
& ( symdiffI2 = $true )
& ( ifSingleton = $true )
& ( ksndpairEq = $true )
& ( dsetconstr__Cong = $true )
& ( binintersectER = $true )
& ( upairset2IR = $true )
& ( binunionE = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK586,sK587,sK588]),skolemize(X0,sK586),skolemize(X1,sK587),skolemize(X2,sK588)],[f964]) ).
thf(f1569,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
| ( powersetE1 != $true ) )
& ( ( powersetE1 = $true )
| ? [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) ) ) ),
inference(nnf_transformation,[],[f900]) ).
thf(f1570,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
| ( powersetE1 != $true ) )
& ( ( powersetE1 = $true )
| ? [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
!= $true )
& ( ( in @ X2 @ ( powerset @ X3 ) )
= $true ) ) ) ),
inference(rectify,[],[f1569]) ).
thf(f1571,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
| ( powersetE1 != $true ) )
& ( ( powersetE1 = $true )
| ( ( ( subset @ sK626 @ sK627 )
!= $true )
& ( $true
= ( in @ sK626 @ ( powerset @ sK627 ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK626,sK627]),skolemize(X2,sK626),skolemize(X3,sK627)],[f1570]) ).
thf(f1695,plain,
! [X2: $i,X3: $i] :
( ( ( subset @ X3 @ X2 )
!= $true )
| ( subset2powerset != $true )
| ( ( in @ X3 @ ( powerset @ X2 ) )
= $true ) ),
inference(cnf_transformation,[],[f1016]) ).
thf(f1941,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true )
| ( binintersectLsub != $true ) ),
inference(cnf_transformation,[],[f1177]) ).
thf(f2367,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X0 @ X2 )
= $true )
| ( ( subset @ X1 @ X2 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( subsetTrans != $true ) ),
inference(cnf_transformation,[],[f1495]) ).
thf(f2445,plain,
powersetE1 = $true,
inference(cnf_transformation,[],[f1532]) ).
thf(f2452,plain,
subset2powerset = $true,
inference(cnf_transformation,[],[f1532]) ).
thf(f2478,plain,
binintersectLsub = $true,
inference(cnf_transformation,[],[f1532]) ).
thf(f2508,plain,
subsetTrans = $true,
inference(cnf_transformation,[],[f1532]) ).
thf(f2518,plain,
( $true
!= ( in @ ( binintersect @ sK587 @ sK588 ) @ ( powerset @ sK586 ) ) ),
inference(cnf_transformation,[],[f1532]) ).
thf(f2520,plain,
( ( in @ sK587 @ ( powerset @ sK586 ) )
= $true ),
inference(cnf_transformation,[],[f1532]) ).
thf(f2693,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( ( subset @ X0 @ X1 )
= $true )
| ( powersetE1 != $true ) ),
inference(cnf_transformation,[],[f1571]) ).
thf(f3072,definition,
( spl704_12
<=> ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl704_12])],[avatar_definition]) ).
thf(f3073,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
| ~ spl704_12 ),
inference(avatar_component_clause,[],[f3072]) ).
thf(f3312,definition,
( spl704_66
<=> ( powersetE1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl704_66])],[avatar_definition]) ).
thf(f3315,plain,
spl704_66,
inference(avatar_split_clause,[],[f2445,f3312]) ).
thf(f3381,definition,
( spl704_82
<=> ( subset2powerset = $true ) ),
introduced(definition,[new_symbols(definition,[spl704_82])],[avatar_definition]) ).
thf(f3384,plain,
spl704_82,
inference(avatar_split_clause,[],[f2452,f3381]) ).
thf(f4524,definition,
( spl704_338
<=> ( binintersectLsub = $true ) ),
introduced(definition,[new_symbols(definition,[spl704_338])],[avatar_definition]) ).
thf(f4556,definition,
( spl704_345
<=> ( subsetTrans = $true ) ),
introduced(definition,[new_symbols(definition,[spl704_345])],[avatar_definition]) ).
thf(f4762,plain,
spl704_338,
inference(avatar_split_clause,[],[f2478,f4524]) ).
thf(f5020,definition,
( spl704_446
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X0 @ X2 )
= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( subset @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl704_446])],[avatar_definition]) ).
thf(f5021,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X1 @ X2 )
!= $true )
| ( ( subset @ X0 @ X2 )
= $true )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ~ spl704_446 ),
inference(avatar_component_clause,[],[f5020]) ).
thf(f5022,plain,
( ~ spl704_345
| spl704_446 ),
inference(avatar_split_clause,[],[f2367,f5020,f4556]) ).
thf(f5165,definition,
( spl704_479
<=> ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( ( subset @ X0 @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl704_479])],[avatar_definition]) ).
thf(f5166,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( ( subset @ X0 @ X1 )
= $true ) )
| ~ spl704_479 ),
inference(avatar_component_clause,[],[f5165]) ).
thf(f5167,plain,
( spl704_479
| ~ spl704_66 ),
inference(avatar_split_clause,[],[f2693,f3312,f5165]) ).
thf(f6142,definition,
( spl704_685
<=> ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl704_685])],[avatar_definition]) ).
thf(f6143,plain,
( ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X1 )
= $true )
| ~ spl704_685 ),
inference(avatar_component_clause,[],[f6142]) ).
thf(f6144,plain,
( spl704_685
| ~ spl704_338 ),
inference(avatar_split_clause,[],[f1941,f4524,f6142]) ).
thf(f6247,plain,
( spl704_12
| ~ spl704_82 ),
inference(avatar_split_clause,[],[f1695,f3381,f3072]) ).
thf(f7932,plain,
spl704_345,
inference(avatar_split_clause,[],[f2508,f4556]) ).
thf(f7976,definition,
( spl704_1058
<=> ( ( in @ sK587 @ ( powerset @ sK586 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl704_1058])],[avatar_definition]) ).
thf(f7978,plain,
( ( ( in @ sK587 @ ( powerset @ sK586 ) )
= $true )
| ~ spl704_1058 ),
inference(avatar_component_clause,[],[f7976]) ).
thf(f7979,plain,
spl704_1058,
inference(avatar_split_clause,[],[f2520,f7976]) ).
thf(f8119,definition,
( spl704_1088
<=> ( $true
= ( in @ ( binintersect @ sK587 @ sK588 ) @ ( powerset @ sK586 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl704_1088])],[avatar_definition]) ).
thf(f8121,plain,
( ( $true
!= ( in @ ( binintersect @ sK587 @ sK588 ) @ ( powerset @ sK586 ) ) )
| spl704_1088 ),
inference(avatar_component_clause,[],[f8119]) ).
thf(f8122,plain,
~ spl704_1088,
inference(avatar_split_clause,[],[f2518,f8119]) ).
thf(f9327,plain,
( ( ( subset @ ( binintersect @ sK587 @ sK588 ) @ sK586 )
!= $true )
| ~ spl704_12
| spl704_1088 ),
inference(unit_resulting_resolution,[],[f3073,f8121]) ).
thf(f9347,definition,
( spl704_1202
<=> ( ( subset @ ( binintersect @ sK587 @ sK588 ) @ sK586 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl704_1202])],[avatar_definition]) ).
thf(f9349,plain,
( ( ( subset @ ( binintersect @ sK587 @ sK588 ) @ sK586 )
!= $true )
| spl704_1202 ),
inference(avatar_component_clause,[],[f9347]) ).
thf(f9350,plain,
( ~ spl704_1202
| ~ spl704_12
| spl704_1088 ),
inference(avatar_split_clause,[],[f9327,f8119,f3072,f9347]) ).
thf(f9357,plain,
( ( ( subset @ sK587 @ sK586 )
= $true )
| ~ spl704_479
| ~ spl704_1058 ),
inference(unit_resulting_resolution,[],[f5166,f7978]) ).
thf(f9394,definition,
( spl704_1206
<=> ( ( subset @ sK587 @ sK586 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl704_1206])],[avatar_definition]) ).
thf(f9396,plain,
( ( ( subset @ sK587 @ sK586 )
= $true )
| ~ spl704_1206 ),
inference(avatar_component_clause,[],[f9394]) ).
thf(f9397,plain,
( spl704_1206
| ~ spl704_479
| ~ spl704_1058 ),
inference(avatar_split_clause,[],[f9357,f7976,f5165,f9394]) ).
thf(f11929,plain,
( ( ( subset @ sK587 @ sK586 )
!= $true )
| ~ spl704_446
| ~ spl704_685
| spl704_1202 ),
inference(unit_resulting_resolution,[],[f5021,f6143,f9349]) ).
thf(f11980,plain,
( $false
| ~ spl704_446
| ~ spl704_685
| spl704_1202
| ~ spl704_1206 ),
inference(forward_subsumption_resolution,[],[f11929,f9396]) ).
thf(f11981,plain,
( ~ spl704_446
| ~ spl704_685
| spl704_1202
| ~ spl704_1206 ),
inference(avatar_contradiction_clause,[],[f11980]) ).
cnf(s41,plain,
spl704_66,
inference(sat_conversion,[],[f3315]) ).
cnf(s50,plain,
spl704_82,
inference(sat_conversion,[],[f3384]) ).
cnf(s278,plain,
spl704_338,
inference(sat_conversion,[],[f4762]) ).
cnf(s332,plain,
( ~ spl704_345
| spl704_446 ),
inference(sat_conversion,[],[f5022]) ).
cnf(s361,plain,
( ~ spl704_66
| spl704_479 ),
inference(sat_conversion,[],[f5167]) ).
cnf(s592,plain,
( ~ spl704_338
| spl704_685 ),
inference(sat_conversion,[],[f6144]) ).
cnf(s617,plain,
( spl704_12
| ~ spl704_82 ),
inference(sat_conversion,[],[f6247]) ).
cnf(s1060,plain,
spl704_345,
inference(sat_conversion,[],[f7932]) ).
cnf(s1073,plain,
spl704_1058,
inference(sat_conversion,[],[f7979]) ).
cnf(s1110,plain,
~ spl704_1088,
inference(sat_conversion,[],[f8122]) ).
cnf(s1283,plain,
( ~ spl704_12
| spl704_1088
| ~ spl704_1202 ),
inference(sat_conversion,[],[f9350]) ).
cnf(s1292,plain,
( ~ spl704_479
| ~ spl704_1058
| spl704_1206 ),
inference(sat_conversion,[],[f9397]) ).
cnf(s1650,plain,
( ~ spl704_446
| ~ spl704_685
| spl704_1202
| ~ spl704_1206 ),
inference(sat_conversion,[],[f11981]) ).
cnf(s1813,plain,
spl704_446,
inference(rat,[],[s332,s1060]) ).
cnf(s1862,plain,
spl704_685,
inference(rat,[],[s592,s278]) ).
cnf(s2124,plain,
spl704_12,
inference(rat,[],[s617,s50]) ).
cnf(s2125,plain,
~ spl704_1202,
inference(rat,[],[s1283,s1110,s2124]) ).
cnf(s2132,plain,
~ spl704_1206,
inference(rat,[],[s1650,s1862,s1813,s2125]) ).
cnf(s2135,plain,
~ spl704_479,
inference(rat,[],[s1292,s1073,s2132]) ).
cnf(s2136,plain,
~ spl704_66,
inference(rat,[],[s361,s2135]) ).
cnf(s2143,plain,
$false,
inference(rat,[],[s41,s2136]) ).
thf(f11983,plain,
$false,
inference(avatar_sat_refutation,[],[s2143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU710^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.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 14:12:51 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.23/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.43 % (2180557)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.56/0.43 % (2180566)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=153885876:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.56/0.43 % (2180568)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.56/0.43 % (2180568)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.56/0.43 % (2180566)Instruction limit reached!
% 0.56/0.43 % (2180566)------------------------------
% 0.56/0.43 % (2180566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (2180566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (2180566)CaDiCaL version: 2.1.3
% 0.56/0.43 % (2180566)Termination reason: Instruction limit
% 0.56/0.43 % (2180566)Termination phase: Property scanning
% 0.56/0.43 % (2180566)Time elapsed: 0.006 s
% 0.56/0.43 % (2180566)Peak memory usage: 10 MB
% 0.56/0.43 % (2180566)Instructions burned: 25 (million)
% 0.56/0.43 % (2180567)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3846698158:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.56/0.43 % (2180563)lrs+10_16_si=on:nwc=1.5:random_seed=375181161:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.56/0.43 % (2180564)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1439506828:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.56/0.43 % (2180565)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=1118235283:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.56/0.43 % (2180568)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=832077355:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.56/0.43 % (2180564)Instruction limit reached!
% 0.56/0.43 % (2180564)------------------------------
% 0.56/0.43 % (2180564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (2180564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (2180564)CaDiCaL version: 2.1.3
% 0.56/0.43 % (2180564)Termination reason: Instruction limit
% 0.56/0.43 % (2180564)Termination phase: shuffling
% 0.56/0.43 % (2180564)Time elapsed: 0.002 s
% 0.56/0.43 % (2180564)Peak memory usage: 10 MB
% 0.56/0.43 % (2180564)Instructions burned: 3 (million)
% 0.56/0.43 % (2180563)Instruction limit reached!
% 0.56/0.43 % (2180563)------------------------------
% 0.56/0.43 % (2180563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (2180563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (2180563)CaDiCaL version: 2.1.3
% 0.56/0.43 % (2180563)Termination reason: Instruction limit
% 0.56/0.43 % (2180563)Termination phase: shuffling
% 0.56/0.43 % (2180563)Time elapsed: 0.008 s
% 0.56/0.43 % (2180563)Peak memory usage: 10 MB
% 0.56/0.43 % (2180563)Instructions burned: 18 (million)
% 0.56/0.43 % (2180573)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2305718418:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.43 % (2180562)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4063436600:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.56/0.43 % (2180573)Instruction limit reached!
% 0.56/0.43 % (2180573)------------------------------
% 0.56/0.43 % (2180573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (2180573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (2180573)CaDiCaL version: 2.1.3
% 0.56/0.43 % (2180573)Termination reason: Instruction limit
% 0.56/0.43 % (2180573)Termination phase: shuffling
% 0.56/0.43 % (2180573)Time elapsed: 0.002 s
% 0.56/0.43 % (2180573)Peak memory usage: 10 MB
% 0.56/0.43 % (2180573)Instructions burned: 9 (million)
% 0.56/0.43 % (2180576)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3043411383:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.56/0.47 % (2180577)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.47 % (2180580)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=262161985:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.56/0.47 % (2180576)Instruction limit reached!
% 0.56/0.47 % (2180576)------------------------------
% 0.56/0.47 % (2180576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.47 % (2180576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.47 % (2180576)CaDiCaL version: 2.1.3
% 0.56/0.47 % (2180576)Termination reason: Instruction limit
% 0.56/0.47 % (2180576)Termination phase: shuffling
% 0.56/0.47 % (2180576)Time elapsed: 0.003 s
% 0.56/0.47 % (2180576)Peak memory usage: 10 MB
% 0.56/0.47 % (2180576)Instructions burned: 5 (million)
% 0.56/0.47 % (2180577)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3350195275:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.56/0.47 % (2180580)Instruction limit reached!
% 0.56/0.47 % (2180580)------------------------------
% 0.56/0.47 % (2180580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.47 % (2180580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.47 % (2180580)CaDiCaL version: 2.1.3
% 0.56/0.47 % (2180580)Termination reason: Instruction limit
% 0.56/0.47 % (2180580)Termination phase: shuffling
% 0.56/0.47 % (2180580)Time elapsed: 0.003 s
% 0.56/0.47 % (2180580)Peak memory usage: 10 MB
% 0.56/0.47 % (2180580)Instructions burned: 13 (million)
% 0.56/0.47 % (2180577)Instruction limit reached!
% 0.56/0.47 % (2180577)------------------------------
% 0.56/0.47 % (2180577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.47 % (2180577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.47 % (2180577)CaDiCaL version: 2.1.3
% 0.56/0.47 % (2180577)Termination reason: Instruction limit
% 0.56/0.47 % (2180577)Termination phase: shuffling
% 0.56/0.47 % (2180577)Time elapsed: 0.004 s
% 0.56/0.47 % (2180577)Peak memory usage: 10 MB
% 0.56/0.47 % (2180577)Instructions burned: 8 (million)
% 0.56/0.47 % (2180567)Instruction limit reached!
% 0.56/0.47 % (2180567)------------------------------
% 0.56/0.47 % (2180567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.47 % (2180567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.47 % (2180567)CaDiCaL version: 2.1.3
% 0.56/0.47 % (2180567)Termination reason: Instruction limit
% 0.56/0.47 % (2180567)Termination phase: Preprocessing 3
% 0.56/0.47 % (2180567)Time elapsed: 0.036 s
% 0.56/0.47 % (2180567)Peak memory usage: 12 MB
% 0.56/0.47 % (2180567)Instructions burned: 77 (million)
% 0.56/0.47 % (2180585)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=1494646796:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.56/0.47 % (2180583)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.56/0.47 % (2180583)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.47 % (2180583)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3591068991:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.56/0.47 % (2180587)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.56/0.47 % (2180586)lrs+10_1_si=on:cs=on:random_seed=304350971:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.56/0.47 % (2180587)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=3105579062:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.47 % (2180586)Instruction limit reached!
% 0.56/0.47 % (2180586)------------------------------
% 0.56/0.47 % (2180586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.47 % (2180586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.50 % (2180586)CaDiCaL version: 2.1.3
% 0.56/0.50 % (2180586)Termination reason: Instruction limit
% 0.56/0.50 % (2180586)Termination phase: shuffling
% 0.56/0.50 % (2180586)Time elapsed: 0.004 s
% 0.56/0.50 % (2180586)Peak memory usage: 10 MB
% 0.56/0.50 % (2180586)Instructions burned: 8 (million)
% 0.56/0.50 % (2180587)Instruction limit reached!
% 0.56/0.50 % (2180587)------------------------------
% 0.56/0.50 % (2180587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.50 % (2180587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.50 % (2180587)CaDiCaL version: 2.1.3
% 0.56/0.50 % (2180587)Termination reason: Instruction limit
% 0.56/0.50 % (2180587)Termination phase: shuffling
% 0.56/0.50 % (2180587)Time elapsed: 0.002 s
% 0.56/0.50 % (2180587)Peak memory usage: 10 MB
% 0.56/0.50 % (2180587)Instructions burned: 3 (million)
% 0.56/0.50 % (2180585)Instruction limit reached!
% 0.56/0.50 % (2180585)------------------------------
% 0.56/0.50 % (2180585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.50 % (2180585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.50 % (2180585)CaDiCaL version: 2.1.3
% 0.56/0.50 % (2180585)Termination reason: Instruction limit
% 0.56/0.50 % (2180585)Termination phase: Function definition elimination
% 0.56/0.50 % (2180585)Time elapsed: 0.020 s
% 0.56/0.50 % (2180585)Peak memory usage: 11 MB
% 0.56/0.50 % (2180585)Instructions burned: 90 (million)
% 0.56/0.50 % (2180583)Instruction limit reached!
% 0.56/0.50 % (2180583)------------------------------
% 0.56/0.50 % (2180583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.50 % (2180583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.50 % (2180583)CaDiCaL version: 2.1.3
% 0.56/0.50 % (2180583)Termination reason: Instruction limit
% 0.56/0.50 % (2180583)Termination phase: shuffling
% 0.56/0.50 % (2180583)Time elapsed: 0.013 s
% 0.56/0.50 % (2180583)Peak memory usage: 11 MB
% 0.56/0.50 % (2180583)Instructions burned: 28 (million)
% 0.56/0.50 % (2180568)Instruction limit reached!
% 0.56/0.50 % (2180568)------------------------------
% 0.56/0.50 % (2180568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.50 % (2180568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.50 % (2180568)CaDiCaL version: 2.1.3
% 0.56/0.50 % (2180568)Termination reason: Instruction limit
% 0.56/0.50 % (2180568)Termination phase: Saturation
% 0.56/0.50 % (2180568)Time elapsed: 0.068 s
% 0.56/0.50 % (2180568)Peak memory usage: 14 MB
% 0.56/0.50 % (2180568)Instructions burned: 158 (million)
% 0.56/0.50 % (2180594)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1200095144:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.56/0.50 % (2180592)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2897416347:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.56/0.50 % (2180593)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=281621636:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.56/0.50 % (2180594)Instruction limit reached!
% 0.56/0.50 % (2180594)------------------------------
% 0.56/0.50 % (2180594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.50 % (2180594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.50 % (2180594)CaDiCaL version: 2.1.3
% 0.56/0.50 % (2180594)Termination reason: Instruction limit
% 0.56/0.50 % (2180594)Termination phase: Property scanning
% 0.56/0.50 % (2180594)Time elapsed: 0.006 s
% 0.56/0.50 % (2180594)Peak memory usage: 10 MB
% 0.56/0.50 % (2180594)Instructions burned: 25 (million)
% 0.56/0.50 % (2180595)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2211120731:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.56/0.50 % (2180562)Instruction limit reached!
% 0.56/0.50 % (2180562)------------------------------
% 0.56/0.50 % (2180562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.50 % (2180562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.50 % (2180562)CaDiCaL version: 2.1.3
% 0.56/0.50 % (2180562)Termination reason: Instruction limit
% 0.56/0.50 % (2180562)Termination phase: Preprocessing 3
% 1.37/0.56 % (2180562)Time elapsed: 0.070 s
% 1.37/0.56 % (2180562)Peak memory usage: 12 MB
% 1.37/0.56 % (2180562)Instructions burned: 88 (million)
% 1.37/0.56 % (2180595)Instruction limit reached!
% 1.37/0.56 % (2180595)------------------------------
% 1.37/0.56 % (2180595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.56 % (2180595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.56 % (2180595)CaDiCaL version: 2.1.3
% 1.37/0.56 % (2180595)Termination reason: Instruction limit
% 1.37/0.56 % (2180595)Termination phase: shuffling
% 1.37/0.56 % (2180595)Time elapsed: 0.007 s
% 1.37/0.56 % (2180595)Peak memory usage: 10 MB
% 1.37/0.56 % (2180595)Instructions burned: 14 (million)
% 1.37/0.56 % (2180600)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3638473585:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.37/0.56 % (2180596)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=958074563:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.37/0.56 % (2180600)Instruction limit reached!
% 1.37/0.56 % (2180600)------------------------------
% 1.37/0.56 % (2180600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.56 % (2180600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.56 % (2180600)CaDiCaL version: 2.1.3
% 1.37/0.56 % (2180600)Termination reason: Instruction limit
% 1.37/0.56 % (2180600)Termination phase: shuffling
% 1.37/0.56 % (2180600)Time elapsed: 0.004 s
% 1.37/0.56 % (2180600)Peak memory usage: 10 MB
% 1.37/0.56 % (2180600)Instructions burned: 17 (million)
% 1.37/0.56 % (2180592)Instruction limit reached!
% 1.37/0.56 % (2180592)------------------------------
% 1.37/0.56 % (2180592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.56 % (2180592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.56 % (2180592)CaDiCaL version: 2.1.3
% 1.37/0.56 % (2180592)Termination reason: Instruction limit
% 1.37/0.56 % (2180592)Termination phase: SInE selection
% 1.37/0.56 % (2180592)Time elapsed: 0.017 s
% 1.37/0.56 % (2180592)Peak memory usage: 11 MB
% 1.37/0.56 % (2180592)Instructions burned: 39 (million)
% 1.37/0.56 % (2180602)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3471628266:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.37/0.56 % (2180606)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=942399975:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.37/0.56 % (2180602)Instruction limit reached!
% 1.37/0.56 % (2180602)------------------------------
% 1.37/0.56 % (2180602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.56 % (2180602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.56 % (2180602)CaDiCaL version: 2.1.3
% 1.37/0.56 % (2180602)Termination reason: Instruction limit
% 1.37/0.56 % (2180602)Termination phase: shuffling
% 1.37/0.56 % (2180602)Time elapsed: 0.002 s
% 1.37/0.56 % (2180602)Peak memory usage: 10 MB
% 1.37/0.56 % (2180602)Instructions burned: 4 (million)
% 1.37/0.56 % (2180604)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3907420260:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.37/0.56 % (2180606)Instruction limit reached!
% 1.37/0.56 % (2180606)------------------------------
% 1.37/0.56 % (2180606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.56 % (2180606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.56 % (2180606)CaDiCaL version: 2.1.3
% 1.37/0.56 % (2180606)Termination reason: Instruction limit
% 1.37/0.56 % (2180606)Termination phase: shuffling
% 1.37/0.56 % (2180606)Time elapsed: 0.006 s
% 1.37/0.56 % (2180606)Peak memory usage: 10 MB
% 1.37/0.56 % (2180606)Instructions burned: 26 (million)
% 1.37/0.56 % (2180607)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4102742556:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.37/0.56 % (2180612)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.37/0.56 % (2180604)Instruction limit reached!
% 1.37/0.56 % (2180604)------------------------------
% 1.37/0.56 % (2180604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.56 % (2180604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.61 % (2180604)CaDiCaL version: 2.1.3
% 2.18/0.61 % (2180604)Termination reason: Instruction limit
% 2.18/0.61 % (2180604)Termination phase: shuffling
% 2.18/0.61 % (2180604)Time elapsed: 0.013 s
% 2.18/0.61 % (2180604)Peak memory usage: 10 MB
% 2.18/0.61 % (2180604)Instructions burned: 27 (million)
% 2.18/0.61 % (2180612)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=1621794354:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.18/0.61 % (2180611)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
% 2.18/0.61 % (2180611)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.18/0.61 % (2180612)Instruction limit reached!
% 2.18/0.61 % (2180612)------------------------------
% 2.18/0.62 % (2180612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (2180612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (2180612)CaDiCaL version: 2.1.3
% 2.18/0.62 % (2180612)Termination reason: Instruction limit
% 2.18/0.62 % (2180612)Termination phase: shuffling
% 2.18/0.62 % (2180612)Time elapsed: 0.004 s
% 2.18/0.62 % (2180612)Peak memory usage: 11 MB
% 2.18/0.62 % (2180612)Instructions burned: 16 (million)
% 2.18/0.62 % (2180611)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=2555350974:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.18/0.62 % (2180611)Instruction limit reached!
% 2.18/0.62 % (2180611)------------------------------
% 2.18/0.62 % (2180611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (2180611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (2180611)CaDiCaL version: 2.1.3
% 2.18/0.62 % (2180611)Termination reason: Instruction limit
% 2.18/0.62 % (2180611)Termination phase: shuffling
% 2.18/0.62 % (2180611)Time elapsed: 0.007 s
% 2.18/0.62 % (2180611)Peak memory usage: 10 MB
% 2.18/0.62 % (2180611)Instructions burned: 14 (million)
% 2.18/0.62 % (2180616)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3992572918:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.18/0.62 % (2180616)Instruction limit reached!
% 2.18/0.62 % (2180616)------------------------------
% 2.18/0.62 % (2180616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (2180616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (2180616)CaDiCaL version: 2.1.3
% 2.18/0.62 % (2180616)Termination reason: Instruction limit
% 2.18/0.62 % (2180616)Termination phase: shuffling
% 2.18/0.62 % (2180616)Time elapsed: 0.002 s
% 2.18/0.62 % (2180616)Peak memory usage: 10 MB
% 2.18/0.62 % (2180616)Instructions burned: 8 (million)
% 2.18/0.62 % (2180615)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=9831877:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.18/0.62 % (2180607)Instruction limit reached!
% 2.18/0.62 % (2180607)------------------------------
% 2.18/0.62 % (2180607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.62 % (2180607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.62 % (2180607)CaDiCaL version: 2.1.3
% 2.18/0.62 % (2180607)Termination reason: Instruction limit
% 2.18/0.62 % (2180607)Termination phase: Preprocessing 3
% 2.18/0.62 % (2180607)Time elapsed: 0.028 s
% 2.18/0.62 % (2180607)Peak memory usage: 12 MB
% 2.18/0.62 % (2180607)Instructions burned: 61 (million)
% 2.18/0.62 % (2180620)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2489318904:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.18/0.62 % (2180618)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3909181297:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.18/0.62 % (2180615)Instruction limit reached!
% 2.18/0.62 % (2180615)------------------------------
% 2.18/0.62 % (2180615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.68 % (2180615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.68 % (2180615)CaDiCaL version: 2.1.3
% 2.42/0.68 % (2180615)Termination reason: Instruction limit
% 2.42/0.68 % (2180615)Termination phase: shuffling
% 2.42/0.68 % (2180615)Time elapsed: 0.014 s
% 2.42/0.68 % (2180615)Peak memory usage: 11 MB
% 2.42/0.68 % (2180615)Instructions burned: 31 (million)
% 2.42/0.68 % (2180620)Instruction limit reached!
% 2.42/0.68 % (2180620)------------------------------
% 2.42/0.68 % (2180620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.68 % (2180620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.68 % (2180620)CaDiCaL version: 2.1.3
% 2.42/0.68 % (2180620)Termination reason: Instruction limit
% 2.42/0.68 % (2180620)Termination phase: shuffling
% 2.42/0.68 % (2180620)Time elapsed: 0.006 s
% 2.42/0.68 % (2180620)Peak memory usage: 10 MB
% 2.42/0.68 % (2180620)Instructions burned: 24 (million)
% 2.42/0.68 % (2180622)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2040723684:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.42/0.69 % (2180626)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3094875295:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.42/0.69 % (2180618)Instruction limit reached!
% 2.42/0.69 % (2180618)------------------------------
% 2.42/0.69 % (2180618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.69 % (2180618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.69 % (2180618)CaDiCaL version: 2.1.3
% 2.42/0.69 % (2180618)Termination reason: Instruction limit
% 2.42/0.69 % (2180618)Termination phase: shuffling
% 2.42/0.69 % (2180618)Time elapsed: 0.011 s
% 2.42/0.69 % (2180618)Peak memory usage: 11 MB
% 2.42/0.69 % (2180618)Instructions burned: 24 (million)
% 2.42/0.69 % (2180625)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=53416889:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.42/0.69 % (2180629)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2827182819:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.42/0.69 % (2180593)Instruction limit reached!
% 2.42/0.69 % (2180593)------------------------------
% 2.42/0.69 % (2180593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.69 % (2180593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.69 % (2180593)CaDiCaL version: 2.1.3
% 2.42/0.69 % (2180593)Termination reason: Instruction limit
% 2.42/0.69 % (2180593)Termination phase: Saturation
% 2.42/0.69 % (2180593)Time elapsed: 0.112 s
% 2.42/0.69 % (2180593)Peak memory usage: 15 MB
% 2.42/0.69 % (2180593)Instructions burned: 249 (million)
% 2.42/0.69 % (2180632)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.42/0.69 % (2180629)Instruction limit reached!
% 2.42/0.69 % (2180629)------------------------------
% 2.42/0.69 % (2180629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.69 % (2180629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.69 % (2180629)CaDiCaL version: 2.1.3
% 2.42/0.69 % (2180629)Termination reason: Instruction limit
% 2.42/0.69 % (2180629)Termination phase: Property scanning
% 2.42/0.69 % (2180629)Time elapsed: 0.019 s
% 2.42/0.69 % (2180629)Peak memory usage: 11 MB
% 2.42/0.69 % (2180629)Instructions burned: 44 (million)
% 2.42/0.69 % (2180632)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2254309216:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.42/0.69 % (2180626)Instruction limit reached!
% 2.42/0.69 % (2180626)------------------------------
% 2.42/0.69 % (2180626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.69 % (2180626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.69 % (2180626)CaDiCaL version: 2.1.3
% 2.42/0.69 % (2180626)Termination reason: Instruction limit
% 2.42/0.69 % (2180626)Termination phase: Saturation
% 2.42/0.69 % (2180626)Time elapsed: 0.044 s
% 2.42/0.69 % (2180626)Peak memory usage: 14 MB
% 2.42/0.69 % (2180626)Instructions burned: 197 (million)
% 2.42/0.69 % (2180632)Instruction limit reached!
% 2.42/0.69 % (2180632)------------------------------
% 2.54/0.79 % (2180632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180632)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180632)Termination reason: Instruction limit
% 2.54/0.79 % (2180632)Termination phase: shuffling
% 2.54/0.79 % (2180632)Time elapsed: 0.004 s
% 2.54/0.79 % (2180632)Peak memory usage: 10 MB
% 2.54/0.79 % (2180632)Instructions burned: 8 (million)
% 2.54/0.79 % (2180635)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=1877506600:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.54/0.79 % (2180633)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=216498014:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.54/0.79 % (2180625)Instruction limit reached!
% 2.54/0.79 % (2180625)------------------------------
% 2.54/0.79 % (2180625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180625)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180625)Termination reason: Instruction limit
% 2.54/0.79 % (2180625)Termination phase: Saturation
% 2.54/0.79 % (2180625)Time elapsed: 0.060 s
% 2.54/0.79 % (2180625)Peak memory usage: 13 MB
% 2.54/0.79 % (2180625)Instructions burned: 145 (million)
% 2.54/0.79 % (2180636)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.54/0.79 % (2180596)Instruction limit reached!
% 2.54/0.79 % (2180596)------------------------------
% 2.54/0.79 % (2180596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180596)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180596)Termination reason: Instruction limit
% 2.54/0.79 % (2180596)Termination phase: Saturation
% 2.54/0.79 % (2180596)Time elapsed: 0.154 s
% 2.54/0.79 % (2180596)Peak memory usage: 15 MB
% 2.54/0.79 % (2180596)Instructions burned: 328 (million)
% 2.54/0.79 % (2180636)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=322329218:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.54/0.79 % (2180636)Instruction limit reached!
% 2.54/0.79 % (2180636)------------------------------
% 2.54/0.79 % (2180636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180636)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180636)Termination reason: Instruction limit
% 2.54/0.79 % (2180636)Termination phase: shuffling
% 2.54/0.79 % (2180636)Time elapsed: 0.006 s
% 2.54/0.79 % (2180636)Peak memory usage: 10 MB
% 2.54/0.79 % (2180636)Instructions burned: 6 (million)
% 2.54/0.79 % (2180639)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2853938114:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.54/0.79 % (2180635)Instruction limit reached!
% 2.54/0.79 % (2180635)------------------------------
% 2.54/0.79 % (2180635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180635)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180635)Termination reason: Instruction limit
% 2.54/0.79 % (2180635)Termination phase: Saturation
% 2.54/0.79 % (2180635)Time elapsed: 0.040 s
% 2.54/0.79 % (2180635)Peak memory usage: 14 MB
% 2.54/0.79 % (2180635)Instructions burned: 179 (million)
% 2.54/0.79 % (2180641)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1985805566:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.54/0.79 % (2180639)Instruction limit reached!
% 2.54/0.79 % (2180639)------------------------------
% 2.54/0.79 % (2180639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180639)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180639)Termination reason: Instruction limit
% 2.54/0.79 % (2180639)Termination phase: shuffling
% 2.54/0.79 % (2180639)Time elapsed: 0.011 s
% 2.54/0.79 % (2180639)Peak memory usage: 11 MB
% 2.54/0.79 % (2180639)Instructions burned: 24 (million)
% 2.54/0.79 % (2180644)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=2157535344:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.54/0.79 % (2180641)Instruction limit reached!
% 2.54/0.79 % (2180641)------------------------------
% 2.54/0.79 % (2180641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180641)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180641)Termination reason: Instruction limit
% 2.54/0.79 % (2180641)Termination phase: shuffling
% 2.54/0.79 % (2180641)Time elapsed: 0.009 s
% 2.54/0.79 % (2180641)Peak memory usage: 10 MB
% 2.54/0.79 % (2180641)Instructions burned: 20 (million)
% 2.54/0.79 % (2180642)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=1591231840:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.54/0.79 % (2180646)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=2618858648:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.54/0.79 % (2180648)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3562083765:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.54/0.79 % (2180633)Instruction limit reached!
% 2.54/0.79 % (2180633)------------------------------
% 2.54/0.79 % (2180633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180633)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180633)Termination reason: Instruction limit
% 2.54/0.79 % (2180633)Termination phase: Saturation
% 2.54/0.79 % (2180633)Time elapsed: 0.078 s
% 2.54/0.79 % (2180633)Peak memory usage: 14 MB
% 2.54/0.79 % (2180633)Instructions burned: 181 (million)
% 2.54/0.79 % (2180646)Instruction limit reached!
% 2.54/0.79 % (2180646)------------------------------
% 2.54/0.79 % (2180646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180646)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180646)Termination reason: Instruction limit
% 2.54/0.79 % (2180646)Termination phase: SInE selection
% 2.54/0.79 % (2180646)Time elapsed: 0.020 s
% 2.54/0.79 % (2180646)Peak memory usage: 11 MB
% 2.54/0.79 % (2180646)Instructions burned: 47 (million)
% 2.54/0.79 % (2180653)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.54/0.79 % (2180653)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3330388445:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.54/0.79 % (2180652)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=136084051:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.54/0.79 % (2180565)Instruction limit reached!
% 2.54/0.79 % (2180565)------------------------------
% 2.54/0.79 % (2180565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180565)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180565)Termination reason: Instruction limit
% 2.54/0.79 % (2180565)Termination phase: Saturation
% 2.54/0.79 % (2180565)Time elapsed: 0.339 s
% 2.54/0.79 % (2180565)Peak memory usage: 20 MB
% 2.54/0.79 % (2180565)Instructions burned: 634 (million)
% 2.54/0.79 % (2180652)Instruction limit reached!
% 2.54/0.79 % (2180652)------------------------------
% 2.54/0.79 % (2180652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180652)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180652)Termination reason: Instruction limit
% 2.54/0.79 % (2180652)Termination phase: shuffling
% 2.54/0.79 % (2180652)Time elapsed: 0.010 s
% 2.54/0.79 % (2180652)Peak memory usage: 10 MB
% 2.54/0.79 % (2180652)Instructions burned: 22 (million)
% 2.54/0.79 % (2180656)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=622333321:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.54/0.79 % (2180657)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=3614160036:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.54/0.79 % (2180656)Instruction limit reached!
% 2.54/0.79 % (2180656)------------------------------
% 2.54/0.79 % (2180656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180656)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180656)Termination reason: Instruction limit
% 2.54/0.79 % (2180656)Termination phase: shuffling
% 2.54/0.79 % (2180656)Time elapsed: 0.007 s
% 2.54/0.79 % (2180656)Peak memory usage: 10 MB
% 2.54/0.79 % (2180656)Instructions burned: 15 (million)
% 2.54/0.79 % (2180660)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2394171975:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 2.54/0.79 % (2180657)Instruction limit reached!
% 2.54/0.79 % (2180657)------------------------------
% 2.54/0.79 % (2180657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180657)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180657)Termination reason: Instruction limit
% 2.54/0.79 % (2180657)Termination phase: SInE selection
% 2.54/0.79 % (2180657)Time elapsed: 0.028 s
% 2.54/0.79 % (2180657)Peak memory usage: 11 MB
% 2.54/0.79 % (2180657)Instructions burned: 66 (million)
% 2.54/0.79 % (2180662)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=170285489:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 2.54/0.79 % (2180660)Instruction limit reached!
% 2.54/0.79 % (2180660)------------------------------
% 2.54/0.79 % (2180660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180660)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180660)Termination reason: Instruction limit
% 2.54/0.79 % (2180660)Termination phase: Property scanning
% 2.54/0.79 % (2180660)Time elapsed: 0.022 s
% 2.54/0.79 % (2180660)Peak memory usage: 11 MB
% 2.54/0.79 % (2180660)Instructions burned: 51 (million)
% 2.54/0.79 % (2180653)Instruction limit reached!
% 2.54/0.79 % (2180653)------------------------------
% 2.54/0.79 % (2180653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180653)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180653)Termination reason: Instruction limit
% 2.54/0.79 % (2180653)Termination phase: Saturation
% 2.54/0.79 % (2180653)Time elapsed: 0.088 s
% 2.54/0.79 % (2180653)Peak memory usage: 14 MB
% 2.54/0.79 % (2180653)Instructions burned: 205 (million)
% 2.54/0.79 % (2180662)Instruction limit reached!
% 2.54/0.79 % (2180662)------------------------------
% 2.54/0.79 % (2180662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180662)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180662)Termination reason: Instruction limit
% 2.54/0.79 % (2180662)Termination phase: Property scanning
% 2.54/0.79 % (2180662)Time elapsed: 0.015 s
% 2.54/0.79 % (2180662)Peak memory usage: 10 MB
% 2.54/0.79 % (2180662)Instructions burned: 33 (million)
% 2.54/0.79 % (2180664)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3151885676:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.54/0.79 % (2180665)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=2975849458:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.54/0.79 % (2180644) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2180557-2180644"...
% 2.54/0.79 % (2180642)Instruction limit reached!
% 2.54/0.79 % (2180642)------------------------------
% 2.54/0.79 % (2180642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.79 % (2180642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.79 % (2180642)CaDiCaL version: 2.1.3
% 2.54/0.79 % (2180642)Termination reason: Instruction limit
% 2.54/0.79 % (2180642)Termination phase: Saturation
% 2.54/0.79 % (2180642)Time elapsed: 0.157 s
% 2.54/0.79 % (2180642)Peak memory usage: 16 MB
% 2.54/0.79 % (2180642)Instructions burned: 318 (million)
% 2.54/0.79 % (2180644)...printing done.
% 2.54/0.79 % (2180666)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2019902495:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.54/0.79 % (2180644)Refutation found. Thanks to Tanya!
% 2.54/0.79 % SZS status Theorem for theBenchmark
% 2.54/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/0.80 % (2180644)------------------------------
% 2.54/0.80 % (2180644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.80 % (2180644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.80 % (2180644)CaDiCaL version: 2.1.3
% 2.54/0.80 % (2180644)Termination reason: Refutation
% 2.54/0.80 % (2180644)Time elapsed: 0.169 s
% 2.54/0.80 % (2180644)Peak memory usage: 22 MB
% 2.54/0.80 % (2180644)Instructions burned: 598 (million)
% 2.54/0.80 % (2180557)Success in time 0.497 s
% 2.54/0.80 % Vampire exiting
%------------------------------------------------------------------------------