%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU737^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 08:31:02 AM UTC 2026
% Result : Theorem 7.95s 1.58s
% Output : Refutation 7.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 129 ( 42 unt; 0 typ; 15 def)
% Number of atoms : 5415 (1477 equ; 0 cnn)
% Maximal formula atoms : 257 ( 41 avg)
% Number of connectives : 3114 ( 160 ~; 148 |;1051 &; 693 @)
% ( 23 <=>;1039 =>; 0 <=; 0 <~>)
% Maximal formula depth : 264 ( 20 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 : 494 ( 491 usr; 299 con; 0-4 aty)
% Number of variables : 131 ( 0 sgn 104 !; 27 ?; 131 :)
% 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_265,type,
binintersectT_lem: $o ).
thf(func_def_266,type,
binunionT_lem: $o ).
thf(func_def_267,type,
powersetT_lem: $o ).
thf(func_def_268,type,
setminusT_lem: $o ).
thf(func_def_269,type,
complementT_lem: $o ).
thf(func_def_270,type,
setextT: $o ).
thf(func_def_271,type,
subsetTI: $o ).
thf(func_def_272,type,
powersetTI1: $o ).
thf(func_def_273,type,
powersetTE1: $o ).
thf(func_def_274,type,
complementTI1: $o ).
thf(func_def_275,type,
complementTE1: $o ).
thf(func_def_276,type,
binintersectTELcontra: $o ).
thf(func_def_277,type,
binintersectTERcontra: $o ).
thf(func_def_278,type,
contrasubsetT: $o ).
thf(func_def_279,type,
contrasubsetT1: $o ).
thf(func_def_280,type,
contrasubsetT2: $o ).
thf(func_def_281,type,
contrasubsetT3: $o ).
thf(func_def_282,type,
doubleComplementI1: $o ).
thf(func_def_283,type,
doubleComplementE1: $o ).
thf(func_def_284,type,
doubleComplementSub1: $o ).
thf(func_def_285,type,
doubleComplementSub2: $o ).
thf(func_def_286,type,
doubleComplementEq: $o ).
thf(func_def_287,type,
complementTnotintersectT: $o ).
thf(func_def_288,type,
complementImpComplementIntersect: $o ).
thf(func_def_289,type,
complementSubsetComplementIntersect: $o ).
thf(func_def_290,type,
complementInPowersetComplementIntersect: $o ).
thf(func_def_291,type,
contraSubsetComplement: $o ).
thf(func_def_294,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_295,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_296,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_297,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_298,type,
vNOT: $o > $o ).
thf(func_def_299,type,
vOR: $o > $o > $o ).
thf(func_def_300,type,
vAND: $o > $o > $o ).
thf(func_def_301,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_302,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_303,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_304,type,
vIMP: $o > $o > $o ).
thf(func_def_305,type,
sP0: $i > $i > $o ).
thf(func_def_306,type,
sP1: $i > $o ).
thf(func_def_311,type,
sK6: $i > $o ).
thf(func_def_312,type,
sK7: $i > $o ).
thf(func_def_313,type,
sK8: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_314,type,
sK9: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_325,type,
sK20: $i > $o ).
thf(func_def_328,type,
sK23: $i > $o ).
thf(func_def_330,type,
sK25: $i > ( $i > $o ) > $i ).
thf(func_def_341,type,
sK36: $i > $i ).
thf(func_def_350,type,
sK45: $i > $i > $o ).
thf(func_def_363,type,
sK58: $i > $o ).
thf(func_def_368,type,
sK63: $i > $i ).
thf(func_def_373,type,
sK68: $o ).
thf(func_def_382,type,
sK77: $i > $i ).
thf(func_def_383,type,
sK78: $i > $i ).
thf(func_def_384,type,
sK79: $i > $i ).
thf(func_def_385,type,
sK80: $i > $i ).
thf(func_def_386,type,
sK81: $i > $i > $i ).
thf(func_def_387,type,
sK82: $i > $i > $i > $i ).
thf(func_def_388,type,
sK83: $i > $i > $i > $i ).
thf(func_def_389,type,
sK84: $i > $i > $i > $i ).
thf(func_def_390,type,
sK85: $i > $i > $i ).
thf(func_def_391,type,
sK86: $i > $i > $i ).
thf(func_def_392,type,
sK87: $i > $i > $i ).
thf(func_def_393,type,
sK88: $i > $i > $i ).
thf(func_def_394,type,
sK89: $i > $i ).
thf(func_def_395,type,
sK90: $i > $i > $i > $i ).
thf(func_def_397,type,
sK92: $i > $i ).
thf(func_def_398,type,
sK93: $i > $i ).
thf(func_def_399,type,
sK94: $i > $i ).
thf(func_def_400,type,
sK95: $i > $i ).
thf(func_def_401,type,
sK96: $o ).
thf(func_def_427,type,
sK122: $i > $i > $i ).
thf(func_def_448,type,
sK143: $o ).
thf(func_def_459,type,
sK154: $i > $i > $i ).
thf(func_def_481,type,
sK176: $i > $i > $i > $i ).
thf(func_def_485,type,
sK180: ( $i > $o ) > $i > $i ).
thf(func_def_487,type,
sK182: $i > $o ).
thf(func_def_489,type,
sK184: $i > $o ).
thf(func_def_508,type,
sK203: $i > $o ).
thf(func_def_509,type,
sK204: ( $i > $o ) > $i ).
thf(func_def_512,type,
sK207: $i > $i > $i ).
thf(func_def_520,type,
sK215: $o ).
thf(func_def_521,type,
sK216: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_522,type,
sK217: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_526,type,
sK221: $i > $o ).
thf(func_def_530,type,
sK225: $i > $i ).
thf(func_def_532,type,
sK227: ( $i > $i ) > $i > $i > $i ).
thf(func_def_537,type,
sK232: $i > $i ).
thf(func_def_540,type,
sK235: $i > ( $i > $i ) > $i > $i ).
thf(func_def_542,type,
sK237: $i > $o ).
thf(func_def_545,type,
sK240: $i > $o ).
thf(func_def_547,type,
sK242: ( $i > $o ) > $i > $i ).
thf(func_def_556,type,
sK251: $i > $i > $o ).
thf(func_def_562,type,
sK257: $o ).
thf(func_def_571,type,
sK266: $o ).
thf(func_def_577,type,
sK272: $i > $i > $i ).
thf(func_def_578,type,
sK273: $i > ( $i > $o ) > $i ).
thf(func_def_579,type,
sK274: $i > ( $i > $o ) > $i ).
thf(func_def_580,type,
sK275: $i > $o ).
thf(func_def_583,type,
sK278: $i > ( $i > $o ) > $i > $i ).
thf(func_def_585,type,
sK280: $i > $o ).
thf(func_def_588,type,
sK283: $o ).
thf(func_def_592,type,
sK287: ( $i > $o ) > $i > $i ).
thf(func_def_594,type,
sK289: $i > $o ).
thf(func_def_599,type,
sK294: $i > $o ).
thf(func_def_612,type,
sK307: $o ).
thf(func_def_615,type,
sK310: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_616,type,
sK311: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_620,type,
sK315: $i > $o ).
thf(func_def_622,type,
sK317: ( $i > $o ) > $i > $i ).
thf(func_def_624,type,
sK319: $i > $o ).
thf(func_def_631,type,
sK326: $i > $o ).
thf(func_def_633,type,
sK328: ( $i > $o ) > $i > $i ).
thf(func_def_634,type,
sK329: $i > $i > $i > $i ).
thf(func_def_643,type,
sK338: $o ).
thf(func_def_652,type,
sK347: $i > $o ).
thf(func_def_655,type,
sK350: $i > ( $i > $o ) > $i ).
thf(func_def_662,type,
sK357: $i > $o ).
thf(func_def_670,type,
sK365: $i > $o ).
thf(func_def_673,type,
sK368: $i > $i > $i > $i > $i ).
thf(func_def_674,type,
sK369: $i > $i > $i > $i > $i ).
thf(func_def_675,type,
sK370: $i > $i > $i > $i > $i ).
thf(func_def_676,type,
sK371: $i > $i > $i > $i > $i ).
thf(func_def_690,type,
sK385: $i > $i > $o ).
thf(func_def_691,type,
sK386: $i > $i > $i ).
thf(func_def_692,type,
sK387: $i > $i > $i ).
thf(func_def_705,type,
sK400: $i > $o ).
thf(func_def_707,type,
sK402: $i > ( $i > $o ) > $i ).
thf(func_def_714,type,
sK409: ( $i > $i ) > $i > $i > $i ).
thf(func_def_717,type,
sK412: $i > $i ).
thf(func_def_724,type,
sK419: $o ).
thf(func_def_727,type,
sK422: $i > $o ).
thf(func_def_729,type,
sK424: ( $i > $o ) > $i > $i ).
thf(func_def_730,type,
sK425: ( $i > $o ) > $i > $i ).
thf(func_def_733,type,
sK428: $i > $i ).
thf(func_def_736,type,
sK431: $i > $i > ( $i > $i ) > $i ).
thf(func_def_737,type,
sK432: $i > $i > $o ).
thf(func_def_739,type,
sK434: $i > $i ).
thf(func_def_740,type,
sK435: $i > $i ).
thf(func_def_741,type,
sK436: $i > ( $i > $i > $o ) > $i ).
thf(func_def_742,type,
sK437: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_743,type,
sK438: $i > ( $i > $i > $o ) > $i ).
thf(func_def_745,type,
sK440: $i > $o ).
thf(func_def_746,type,
sK441: $i > $i ).
thf(func_def_747,type,
sK442: ( $i > $o ) > $i ).
thf(func_def_755,type,
sK450: $i > $o ).
thf(func_def_757,type,
sK452: $o ).
thf(func_def_768,type,
sK463: $i > $i > $i ).
thf(func_def_784,type,
sK479: $i > $i > $i > $i > $i ).
thf(func_def_785,type,
sK480: $i > $i > $i > $i > $i ).
thf(func_def_790,type,
sK485: ( $i > $o ) > $i ).
thf(func_def_791,type,
sK486: $i > $o ).
thf(func_def_792,type,
sK487: $i > $i ).
thf(func_def_793,type,
sK488: ( $i > $o ) > $i ).
thf(func_def_794,type,
sK489: ( $i > $o ) > $i ).
thf(func_def_795,type,
sK490: $i > $o ).
thf(func_def_797,type,
sK492: $i > $o ).
thf(func_def_813,type,
sK508: $i > $i > $o ).
thf(func_def_824,type,
sK519: $i > $i > $i > $i ).
thf(func_def_825,type,
sK520: $i > $i > $i > $i ).
thf(func_def_826,type,
sK521: ( $i > $i ) > $i > $i > $i ).
thf(func_def_829,type,
sK524: $i > $i ).
thf(func_def_837,type,
sK532: $i > $i ).
thf(func_def_839,type,
sK534: $i > $i > $i > $i > $i ).
thf(func_def_852,type,
sK547: $i > $o ).
thf(func_def_859,type,
sK554: $i > $i > $i > $i > $i ).
thf(func_def_870,type,
sK565: $i > $i > $i > $i > $i ).
thf(func_def_871,type,
sK566: $i > ( $i > $o ) > $i ).
thf(func_def_872,type,
sK567: $i > $o ).
thf(func_def_875,type,
sK570: $o > $i > $i > $i ).
thf(func_def_878,type,
sK573: $o ).
thf(func_def_902,type,
sK597: $i > $o ).
thf(func_def_903,type,
sK598: $o ).
thf(func_def_918,type,
sK613: $i > $i > $i ).
thf(func_def_925,type,
sK620: $o ).
thf(func_def_927,type,
sK622: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_928,type,
sK623: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_929,type,
sK624: $i > $o ).
thf(func_def_930,type,
sK625: $i > $o ).
thf(func_def_944,type,
sK639: $i > $i > $o ).
thf(func_def_954,type,
sK649: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_955,type,
sK650: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_956,type,
sK651: $i > $o ).
thf(func_def_957,type,
sK652: $i > $o ).
thf(func_def_963,type,
sK658: $i > $i ).
thf(func_def_986,type,
sK681: $i > $i > $i ).
thf(func_def_1010,type,
sK705: $i > $i ).
thf(func_def_1019,type,
sK714: $o ).
thf(func_def_1021,type,
sK716: $i > $i > $i ).
thf(func_def_1030,type,
sK725: $i > $i ).
thf(func_def_1032,type,
sK727: $i > ( $i > $i ) > $i > $i ).
thf(func_def_1033,type,
sK728: $i > $o ).
thf(func_def_1041,type,
sK736: $i > $i ).
thf(func_def_1044,type,
sK739: $i > $i ).
thf(func_def_1051,type,
sK746: $i > $i > $o ).
thf(func_def_1061,type,
sK756: $i > $o ).
thf(func_def_1067,type,
sK762: $i > $i > $o ).
thf(func_def_1082,type,
sK777: $o ).
thf(func_def_1083,type,
sK778: $o ).
thf(func_def_1090,type,
sK785: $i > $i > $i > $i ).
thf(func_def_1091,type,
sK786: $i > $i > $i > $i ).
thf(f117,axiom,
( binintersectSubset4
= ( ! [X1: $i,X0: $i] :
( ( subset @ X1 @ X0 )
=> ( ( binintersect @ X0 @ X1 )
= X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectSubset4) ).
thf(f235,axiom,
( complementT_lem
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complementT_lem) ).
thf(f252,axiom,
( doubleComplementEq
= ( ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( X1
= ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',doubleComplementEq) ).
thf(f255,axiom,
! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) ) ) )
= complementSubsetComplementIntersect ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complementSubsetComplementIntersect) ).
thf(f258,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
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
=> ( subset @ X2 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complementTcontraSubset) ).
thf(f259,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
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
=> ( subset @ X2 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f258]) ).
thf(f353,plain,
( doubleComplementEq
= ( ! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
=> ( ( setminus @ X1 @ ( setminus @ X1 @ X0 ) )
= X0 ) ) ) ),
inference(rectify,[],[f252]) ).
thf(f354,plain,
( ( doubleComplementEq = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ( ( setminus @ X1 @ ( setminus @ X1 @ X0 ) )
= X0 ) ) ),
inference(fool_elimination,[],[f353]) ).
thf(f376,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
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
=> ( subset @ X2 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f259]) ).
thf(f377,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 )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ( ( setminusT_lem = $true )
=> ( ( complementT_lem = $true )
=> ( ( setextT = $true )
=> ( ( subsetTI = $true )
=> ( ( powersetTI1 = $true )
=> ( ( powersetTE1 = $true )
=> ( ( complementTI1 = $true )
=> ( ( complementTE1 = $true )
=> ( ( binintersectTELcontra = $true )
=> ( ( binintersectTERcontra = $true )
=> ( ( contrasubsetT = $true )
=> ( ( contrasubsetT1 = $true )
=> ( ( contrasubsetT2 = $true )
=> ( ( contrasubsetT3 = $true )
=> ( ( doubleComplementI1 = $true )
=> ( ( doubleComplementE1 = $true )
=> ( ( doubleComplementSub1 = $true )
=> ( ( doubleComplementSub2 = $true )
=> ( ( doubleComplementEq = $true )
=> ( ( complementTnotintersectT = $true )
=> ( ( complementImpComplementIntersect = $true )
=> ( ( complementSubsetComplementIntersect = $true )
=> ( ( complementInPowersetComplementIntersect = $true )
=> ( ( contraSubsetComplement = $true )
=> ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ( ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
= $true )
=> ( ( subset @ X2 @ ( setminus @ X0 @ X1 ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f376]) ).
thf(f399,plain,
( binintersectSubset4
= ( ! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( ( binintersect @ X1 @ X0 )
= X0 ) ) ) ),
inference(rectify,[],[f117]) ).
thf(f400,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
=> ( ( binintersect @ X1 @ X0 )
= X0 ) )
<=> ( binintersectSubset4 = $true ) ),
inference(fool_elimination,[],[f399]) ).
thf(f464,plain,
( complementT_lem
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) ) ) ) ),
inference(rectify,[],[f235]) ).
thf(f465,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ( ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) )
= $true ) )
<=> ( complementT_lem = $true ) ),
inference(fool_elimination,[],[f464]) ).
thf(f498,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ( subset @ ( setminus @ X1 @ X0 ) @ ( setminus @ X1 @ ( binintersect @ X0 @ X2 ) ) ) ) )
= complementSubsetComplementIntersect ),
inference(rectify,[],[f255]) ).
thf(f499,plain,
( ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ! [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
=> ( ( subset @ ( setminus @ X1 @ X0 ) @ ( setminus @ X1 @ ( binintersect @ X0 @ X2 ) ) )
= $true ) ) )
<=> ( complementSubsetComplementIntersect = $true ) ),
inference(fool_elimination,[],[f498]) ).
thf(f856,plain,
( ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ( ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) )
= $true ) )
<=> ( complementT_lem = $true ) ),
inference(ennf_transformation,[],[f465]) ).
thf(f927,plain,
( ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( ( subset @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true )
& ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
= $true )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( contraSubsetComplement = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementSubsetComplementIntersect = $true )
& ( complementImpComplementIntersect = $true )
& ( complementTnotintersectT = $true )
& ( doubleComplementEq = $true )
& ( doubleComplementSub2 = $true )
& ( doubleComplementSub1 = $true )
& ( doubleComplementE1 = $true )
& ( doubleComplementI1 = $true )
& ( contrasubsetT3 = $true )
& ( contrasubsetT2 = $true )
& ( contrasubsetT1 = $true )
& ( contrasubsetT = $true )
& ( binintersectTERcontra = $true )
& ( binintersectTELcontra = $true )
& ( complementTE1 = $true )
& ( complementTI1 = $true )
& ( powersetTE1 = $true )
& ( powersetTI1 = $true )
& ( subsetTI = $true )
& ( setextT = $true )
& ( complementT_lem = $true )
& ( setminusT_lem = $true )
& ( powersetT_lem = $true )
& ( binunionT_lem = $true )
& ( binintersectT_lem = $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,[],[f377]) ).
thf(f928,plain,
( ( funcinfuncset = $true )
& ( kfstpairEq = $true )
& ( binintersectT_lem = $true )
& ( quantDeMorgan2 = $true )
& ( setoftrueEq = $true )
& ( symdiffIneg2 = $true )
& ( binunionRsub = $true )
& ( doubleComplementEq = $true )
& ( app = $true )
& ( complementT_lem = $true )
& ( binintersectSubset4 = $true )
& ( omegaIndAx = $true )
& ( sepInPowerset = $true )
& ( setukpairinjL = $true )
& ( subPowSU = $true )
& ( cartprodmempair = $true )
& ( uniqinunit = $true )
& ( exu__Cong = $true )
& ( setadjoinAx = $true )
& ( funcextLem = $true )
& ( setextsub = $true )
& ( quantDeMorgan3 = $true )
& ( singletoninpowunion = $true )
& ( binintersectSubset5 = $true )
& ( doubleComplementI1 = $true )
& ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( ( subset @ X2 @ ( setminus @ X0 @ X1 ) )
!= $true )
& ( ( subset @ X1 @ ( setminus @ X0 @ X2 ) )
= $true )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( dpsetconstrER = $true )
& ( binintersectLsub = $true )
& ( noeltsimpempty = $true )
& ( setminusLsub = $true )
& ( iftrueorfalse = $true )
& ( subsetRefl = $true )
& ( eqinunit = $true )
& ( wellorderingAx = $true )
& ( funcGraphProp1 = $true )
& ( powersetsubset = $true )
& ( setukpairinjR2 = $true )
& ( iffalse = $true )
& ( upairset2E = $true )
& ( ifSingleton = $true )
& ( binunionIR = $true )
& ( emptyI = $true )
& ( upairsetIR = $true )
& ( binintersectTELcontra = $true )
& ( nonemptyI = $true )
& ( doubleComplementSub2 = $true )
& ( exuE3u = $true )
& ( subsetTrans = $true )
& ( dpsetconstrI = $true )
& ( setukpairinjR11 = $true )
& ( subset2powerset = $true )
& ( singletoninpowerset = $true )
& ( setminusI = $true )
& ( upairsetIL = $true )
& ( notdallE = $true )
& ( cartprodmempaircEq = $true )
& ( ex1E2 = $true )
& ( foundationAx = $true )
& ( subbreln = $true )
& ( contrasubsetT = $true )
& ( emptyE1 = $true )
& ( emptyinunitempty = $true )
& ( doubleComplementE1 = $true )
& ( cartprodfstin = $true )
& ( nonemptyImpWitness = $true )
& ( ap2apEq1 = $true )
& ( setukpairIR = $true )
& ( lam2lamEq = $true )
& ( replAx = $true )
& ( binintersectEL = $true )
& ( subsetI2 = $true )
& ( exuE1 = $true )
& ( exuEu = $true )
& ( setminusILneg = $true )
& ( ex1I = $true )
& ( dsetconstrER = $true )
& ( singletonprop = $true )
& ( symdiffI2 = $true )
& ( ex1E1 = $true )
& ( setadjoinOr = $true )
& ( ap2apEq2 = $true )
& ( kfstsingleton = $true )
& ( nonemptyE1 = $true )
& ( iffalseProp2 = $true )
& ( setunionsingleton1 = $true )
& ( iftrueProp1 = $true )
& ( disjointsetsI1 = $true )
& ( setukpairinjL1 = $true )
& ( cartprodpairmemER = $true )
& ( setunionE2 = $true )
& ( complementImpComplementIntersect = $true )
& ( setminusERneg = $true )
& ( binintersectRsub = $true )
& ( dsetconstrI = $true )
& ( binunionT_lem = $true )
& ( setminusELneg = $true )
& ( funcext2 = $true )
& ( inPowerset = $true )
& ( exuE2 = $true )
& ( setukpairinjR = $true )
& ( dpsetconstrSub = $true )
& ( subsetE2 = $true )
& ( setminusIRneg = $true )
& ( infuncsetfunc = $true )
& ( secondinupair = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR12 = $true )
& ( descrp = $true )
& ( cartprodsndin = $true )
& ( setadjoin__Cong = $true )
& ( ex1I2 = $true )
& ( omega__Cong = $true )
& ( descr__Cong = $true )
& ( setunionsingleton = $true )
& ( powersetTI1 = $true )
& ( setadjoinSub2 = $true )
& ( omegaSAx = $true )
& ( cartprodfstpairEq = $true )
& ( symdiffI1 = $true )
& ( emptyset__Cong = $true )
& ( cartprodpairsurjEq = $true )
& ( complementTE1 = $true )
& ( funcext = $true )
& ( setadjoinIR = $true )
& ( binintersectSubset1 = $true )
& ( lamp = $true )
& ( prop2setE = $true )
& ( theeq = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( dpsetconstrEL2 = $true )
& ( iftrueProp2 = $true )
& ( notinemptyset = $true )
& ( setminusSubset2 = $true )
& ( exuI2 = $true )
& ( eta1 = $true )
& ( setunionsingleton2 = $true )
& ( powersetI1 = $true )
& ( contrasubsetT3 = $true )
& ( dsetconstrEL = $true )
& ( binintersectSubset2 = $true )
& ( setextT = $true )
& ( setunionE = $true )
& ( complementTI1 = $true )
& ( ap2p = $true )
& ( dpsetconstrERa = $true )
& ( powerset__Cong = $true )
& ( funcGraphProp4 = $true )
& ( emptysetsubset = $true )
& ( singletonsswitch = $true )
& ( binunionE = $true )
& ( ksndpairEq = $true )
& ( cartprodsndpairEq = $true )
& ( setunionI = $true )
& ( setadjoinSub = $true )
& ( exuI3 = $true )
& ( ubforcartprodlem3 = $true )
& ( kpairp = $true )
& ( subsetemptysetimpeq = $true )
& ( symdiffE = $true )
& ( setadjoinE = $true )
& ( lamProp = $true )
& ( notequalI2 = $true )
& ( setminusEL = $true )
& ( dsetconstr__Cong = $true )
& ( kpairiskpair = $true )
& ( upairsubunion = $true )
& ( inCongP = $true )
& ( powersetE = $true )
& ( cartprodmempair1 = $true )
& ( setadjoinIL = $true )
& ( upairset2IR = $true )
& ( setminusER = $true )
& ( quantDeMorgan1 = $true )
& ( funcImageSingleton = $true )
& ( bs114d = $true )
& ( nonemptyI1 = $true )
& ( setunion__Cong = $true )
& ( emptysetAx = $true )
& ( prop2setI = $true )
& ( setukpairinjR1 = $true )
& ( contrasubsetT2 = $true )
& ( exuI1 = $true )
& ( dpsetconstrEL1 = $true )
& ( quantDeMorgan4 = $true )
& ( funcGraphProp3 = $true )
& ( setOfPairsIsBReln = $true )
& ( emptysetimpfalse = $true )
& ( complementSubsetComplementIntersect = $true )
& ( ubforcartprodlem1 = $true )
& ( binintersectTERcontra = $true )
& ( sepSubset = $true )
& ( powersetTE1 = $true )
& ( emptyInPowerset = $true )
& ( binunionEcases = $true )
& ( binintersectER = $true )
& ( powersetE1 = $true )
& ( ubforcartprodlem2 = $true )
& ( lam2p = $true )
& ( eqimpsubset1 = $true )
& ( setukpairIL = $true )
& ( setukpairinjL2 = $true )
& ( exuE3e = $true )
& ( binintersectSubset3 = $true )
& ( theprop = $true )
& ( notsubsetI = $true )
& ( prop2set2propI = $true )
& ( cartprodpairmemEL = $true )
& ( subsetTI = $true )
& ( setunionAx = $true )
& ( symdiffIneg1 = $true )
& ( powersetI = $true )
& ( omega0Ax = $true )
& ( eta2 = $true )
& ( contraSubsetComplement = $true )
& ( beta1 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( eqimpsubset2 = $true )
& ( upairsetE = $true )
& ( notinsingleton = $true )
& ( setminusSubset1 = $true )
& ( upairinpowunion = $true )
& ( notequalI1 = $true )
& ( funcGraphProp2 = $true )
& ( contrasubsetT1 = $true )
& ( setext = $true )
& ( cartprodpairin = $true )
& ( beta2 = $true )
& ( kpairsurjEq = $true )
& ( doubleComplementSub1 = $true )
& ( setextAx = $true )
& ( notdexE = $true )
& ( in__Cong = $true )
& ( subsetI1 = $true )
& ( setbeta = $true )
& ( iffalseProp1 = $true )
& ( apProp = $true )
& ( emptysetE = $true )
& ( complementTnotintersectT = $true )
& ( singletonsubset = $true )
& ( upairequniteq = $true )
& ( eqbreln = $true )
& ( setminusT_lem = $true )
& ( emptyinPowerset = $true )
& ( subsetE = $true )
& ( powersetAx = $true )
& ( vacuousDall = $true )
& ( singletonsuniq = $true )
& ( binintersectI = $true )
& ( powersetT_lem = $true )
& ( ifp = $true )
& ( binunionIL = $true )
& ( binunionLsub = $true )
& ( iftrue = $true ) ),
inference(flattening,[],[f927]) ).
thf(f942,plain,
( ! [X1: $i,X0: $i] :
( ( ( setminus @ X1 @ ( setminus @ X1 @ X0 ) )
= X0 )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
<=> ( doubleComplementEq = $true ) ),
inference(ennf_transformation,[],[f354]) ).
thf(f973,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( binintersect @ X1 @ X0 )
= X0 ) )
<=> ( binintersectSubset4 = $true ) ),
inference(ennf_transformation,[],[f400]) ).
thf(f1052,plain,
( ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ! [X2: $i] :
( ( ( subset @ ( setminus @ X1 @ X0 ) @ ( setminus @ X1 @ ( binintersect @ X0 @ X2 ) ) )
= $true )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) ) ) )
<=> ( complementSubsetComplementIntersect = $true ) ),
inference(ennf_transformation,[],[f499]) ).
thf(f1118,plain,
( ( ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ! [X2: $i] :
( ( ( subset @ ( setminus @ X1 @ X0 ) @ ( setminus @ X1 @ ( binintersect @ X0 @ X2 ) ) )
= $true )
| ( $true
!= ( in @ X2 @ ( powerset @ X1 ) ) ) ) )
| ( complementSubsetComplementIntersect != $true ) )
& ( ( complementSubsetComplementIntersect = $true )
| ? [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
& ? [X2: $i] :
( ( ( subset @ ( setminus @ X1 @ X0 ) @ ( setminus @ X1 @ ( binintersect @ X0 @ X2 ) ) )
!= $true )
& ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f1052]) ).
thf(f1119,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ! [X2: $i] :
( ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) ) )
| ( complementSubsetComplementIntersect != $true ) )
& ( ( complementSubsetComplementIntersect = $true )
| ? [X3: $i,X4: $i] :
( ( $true
= ( in @ X4 @ ( powerset @ X3 ) ) )
& ? [X5: $i] :
( ( ( subset @ ( setminus @ X3 @ X4 ) @ ( setminus @ X3 @ ( binintersect @ X4 @ X5 ) ) )
!= $true )
& ( $true
= ( in @ X5 @ ( powerset @ X3 ) ) ) ) ) ) ),
inference(rectify,[],[f1118]) ).
thf(f1120,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ! [X2: $i] :
( ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) ) )
| ( complementSubsetComplementIntersect != $true ) )
& ( ( complementSubsetComplementIntersect = $true )
| ( ( $true
= ( in @ sK18 @ ( powerset @ sK17 ) ) )
& ( ( subset @ ( setminus @ sK17 @ sK18 ) @ ( setminus @ sK17 @ ( binintersect @ sK18 @ sK19 ) ) )
!= $true )
& ( $true
= ( in @ sK19 @ ( powerset @ sK17 ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X3,sK17),skolemize(X4,sK18),skolemize(X5,sK19)],[f1119]) ).
thf(f1353,plain,
( ( funcinfuncset = $true )
& ( kfstpairEq = $true )
& ( binintersectT_lem = $true )
& ( quantDeMorgan2 = $true )
& ( setoftrueEq = $true )
& ( symdiffIneg2 = $true )
& ( binunionRsub = $true )
& ( doubleComplementEq = $true )
& ( app = $true )
& ( complementT_lem = $true )
& ( binintersectSubset4 = $true )
& ( omegaIndAx = $true )
& ( sepInPowerset = $true )
& ( setukpairinjL = $true )
& ( subPowSU = $true )
& ( cartprodmempair = $true )
& ( uniqinunit = $true )
& ( exu__Cong = $true )
& ( setadjoinAx = $true )
& ( funcextLem = $true )
& ( setextsub = $true )
& ( quantDeMorgan3 = $true )
& ( singletoninpowunion = $true )
& ( binintersectSubset5 = $true )
& ( doubleComplementI1 = $true )
& ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( subset @ X2 @ ( setminus @ X1 @ X0 ) )
!= $true )
& ( ( subset @ X0 @ ( setminus @ X1 @ X2 ) )
= $true )
& ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
& ( dpsetconstrER = $true )
& ( binintersectLsub = $true )
& ( noeltsimpempty = $true )
& ( setminusLsub = $true )
& ( iftrueorfalse = $true )
& ( subsetRefl = $true )
& ( eqinunit = $true )
& ( wellorderingAx = $true )
& ( funcGraphProp1 = $true )
& ( powersetsubset = $true )
& ( setukpairinjR2 = $true )
& ( iffalse = $true )
& ( upairset2E = $true )
& ( ifSingleton = $true )
& ( binunionIR = $true )
& ( emptyI = $true )
& ( upairsetIR = $true )
& ( binintersectTELcontra = $true )
& ( nonemptyI = $true )
& ( doubleComplementSub2 = $true )
& ( exuE3u = $true )
& ( subsetTrans = $true )
& ( dpsetconstrI = $true )
& ( setukpairinjR11 = $true )
& ( subset2powerset = $true )
& ( singletoninpowerset = $true )
& ( setminusI = $true )
& ( upairsetIL = $true )
& ( notdallE = $true )
& ( cartprodmempaircEq = $true )
& ( ex1E2 = $true )
& ( foundationAx = $true )
& ( subbreln = $true )
& ( contrasubsetT = $true )
& ( emptyE1 = $true )
& ( emptyinunitempty = $true )
& ( doubleComplementE1 = $true )
& ( cartprodfstin = $true )
& ( nonemptyImpWitness = $true )
& ( ap2apEq1 = $true )
& ( setukpairIR = $true )
& ( lam2lamEq = $true )
& ( replAx = $true )
& ( binintersectEL = $true )
& ( subsetI2 = $true )
& ( exuE1 = $true )
& ( exuEu = $true )
& ( setminusILneg = $true )
& ( ex1I = $true )
& ( dsetconstrER = $true )
& ( singletonprop = $true )
& ( symdiffI2 = $true )
& ( ex1E1 = $true )
& ( setadjoinOr = $true )
& ( ap2apEq2 = $true )
& ( kfstsingleton = $true )
& ( nonemptyE1 = $true )
& ( iffalseProp2 = $true )
& ( setunionsingleton1 = $true )
& ( iftrueProp1 = $true )
& ( disjointsetsI1 = $true )
& ( setukpairinjL1 = $true )
& ( cartprodpairmemER = $true )
& ( setunionE2 = $true )
& ( complementImpComplementIntersect = $true )
& ( setminusERneg = $true )
& ( binintersectRsub = $true )
& ( dsetconstrI = $true )
& ( binunionT_lem = $true )
& ( setminusELneg = $true )
& ( funcext2 = $true )
& ( inPowerset = $true )
& ( exuE2 = $true )
& ( setukpairinjR = $true )
& ( dpsetconstrSub = $true )
& ( subsetE2 = $true )
& ( setminusIRneg = $true )
& ( infuncsetfunc = $true )
& ( secondinupair = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR12 = $true )
& ( descrp = $true )
& ( cartprodsndin = $true )
& ( setadjoin__Cong = $true )
& ( ex1I2 = $true )
& ( omega__Cong = $true )
& ( descr__Cong = $true )
& ( setunionsingleton = $true )
& ( powersetTI1 = $true )
& ( setadjoinSub2 = $true )
& ( omegaSAx = $true )
& ( cartprodfstpairEq = $true )
& ( symdiffI1 = $true )
& ( emptyset__Cong = $true )
& ( cartprodpairsurjEq = $true )
& ( complementTE1 = $true )
& ( funcext = $true )
& ( setadjoinIR = $true )
& ( binintersectSubset1 = $true )
& ( lamp = $true )
& ( prop2setE = $true )
& ( theeq = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( dpsetconstrEL2 = $true )
& ( iftrueProp2 = $true )
& ( notinemptyset = $true )
& ( setminusSubset2 = $true )
& ( exuI2 = $true )
& ( eta1 = $true )
& ( setunionsingleton2 = $true )
& ( powersetI1 = $true )
& ( contrasubsetT3 = $true )
& ( dsetconstrEL = $true )
& ( binintersectSubset2 = $true )
& ( setextT = $true )
& ( setunionE = $true )
& ( complementTI1 = $true )
& ( ap2p = $true )
& ( dpsetconstrERa = $true )
& ( powerset__Cong = $true )
& ( funcGraphProp4 = $true )
& ( emptysetsubset = $true )
& ( singletonsswitch = $true )
& ( binunionE = $true )
& ( ksndpairEq = $true )
& ( cartprodsndpairEq = $true )
& ( setunionI = $true )
& ( setadjoinSub = $true )
& ( exuI3 = $true )
& ( ubforcartprodlem3 = $true )
& ( kpairp = $true )
& ( subsetemptysetimpeq = $true )
& ( symdiffE = $true )
& ( setadjoinE = $true )
& ( lamProp = $true )
& ( notequalI2 = $true )
& ( setminusEL = $true )
& ( dsetconstr__Cong = $true )
& ( kpairiskpair = $true )
& ( upairsubunion = $true )
& ( inCongP = $true )
& ( powersetE = $true )
& ( cartprodmempair1 = $true )
& ( setadjoinIL = $true )
& ( upairset2IR = $true )
& ( setminusER = $true )
& ( quantDeMorgan1 = $true )
& ( funcImageSingleton = $true )
& ( bs114d = $true )
& ( nonemptyI1 = $true )
& ( setunion__Cong = $true )
& ( emptysetAx = $true )
& ( prop2setI = $true )
& ( setukpairinjR1 = $true )
& ( contrasubsetT2 = $true )
& ( exuI1 = $true )
& ( dpsetconstrEL1 = $true )
& ( quantDeMorgan4 = $true )
& ( funcGraphProp3 = $true )
& ( setOfPairsIsBReln = $true )
& ( emptysetimpfalse = $true )
& ( complementSubsetComplementIntersect = $true )
& ( ubforcartprodlem1 = $true )
& ( binintersectTERcontra = $true )
& ( sepSubset = $true )
& ( powersetTE1 = $true )
& ( emptyInPowerset = $true )
& ( binunionEcases = $true )
& ( binintersectER = $true )
& ( powersetE1 = $true )
& ( ubforcartprodlem2 = $true )
& ( lam2p = $true )
& ( eqimpsubset1 = $true )
& ( setukpairIL = $true )
& ( setukpairinjL2 = $true )
& ( exuE3e = $true )
& ( binintersectSubset3 = $true )
& ( theprop = $true )
& ( notsubsetI = $true )
& ( prop2set2propI = $true )
& ( cartprodpairmemEL = $true )
& ( subsetTI = $true )
& ( setunionAx = $true )
& ( symdiffIneg1 = $true )
& ( powersetI = $true )
& ( omega0Ax = $true )
& ( eta2 = $true )
& ( contraSubsetComplement = $true )
& ( beta1 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( eqimpsubset2 = $true )
& ( upairsetE = $true )
& ( notinsingleton = $true )
& ( setminusSubset1 = $true )
& ( upairinpowunion = $true )
& ( notequalI1 = $true )
& ( funcGraphProp2 = $true )
& ( contrasubsetT1 = $true )
& ( setext = $true )
& ( cartprodpairin = $true )
& ( beta2 = $true )
& ( kpairsurjEq = $true )
& ( doubleComplementSub1 = $true )
& ( setextAx = $true )
& ( notdexE = $true )
& ( in__Cong = $true )
& ( subsetI1 = $true )
& ( setbeta = $true )
& ( iffalseProp1 = $true )
& ( apProp = $true )
& ( emptysetE = $true )
& ( complementTnotintersectT = $true )
& ( singletonsubset = $true )
& ( upairequniteq = $true )
& ( eqbreln = $true )
& ( setminusT_lem = $true )
& ( emptyinPowerset = $true )
& ( subsetE = $true )
& ( powersetAx = $true )
& ( vacuousDall = $true )
& ( singletonsuniq = $true )
& ( binintersectI = $true )
& ( powersetT_lem = $true )
& ( ifp = $true )
& ( binunionIL = $true )
& ( binunionLsub = $true )
& ( iftrue = $true ) ),
inference(rectify,[],[f928]) ).
thf(f1354,plain,
( ( funcinfuncset = $true )
& ( kfstpairEq = $true )
& ( binintersectT_lem = $true )
& ( quantDeMorgan2 = $true )
& ( setoftrueEq = $true )
& ( symdiffIneg2 = $true )
& ( binunionRsub = $true )
& ( doubleComplementEq = $true )
& ( app = $true )
& ( complementT_lem = $true )
& ( binintersectSubset4 = $true )
& ( omegaIndAx = $true )
& ( sepInPowerset = $true )
& ( setukpairinjL = $true )
& ( subPowSU = $true )
& ( cartprodmempair = $true )
& ( uniqinunit = $true )
& ( exu__Cong = $true )
& ( setadjoinAx = $true )
& ( funcextLem = $true )
& ( setextsub = $true )
& ( quantDeMorgan3 = $true )
& ( singletoninpowunion = $true )
& ( binintersectSubset5 = $true )
& ( doubleComplementI1 = $true )
& ( $true
!= ( subset @ sK255 @ ( setminus @ sK254 @ sK253 ) ) )
& ( $true
= ( subset @ sK253 @ ( setminus @ sK254 @ sK255 ) ) )
& ( $true
= ( in @ sK255 @ ( powerset @ sK254 ) ) )
& ( $true
= ( in @ sK253 @ ( powerset @ sK254 ) ) )
& ( dpsetconstrER = $true )
& ( binintersectLsub = $true )
& ( noeltsimpempty = $true )
& ( setminusLsub = $true )
& ( iftrueorfalse = $true )
& ( subsetRefl = $true )
& ( eqinunit = $true )
& ( wellorderingAx = $true )
& ( funcGraphProp1 = $true )
& ( powersetsubset = $true )
& ( setukpairinjR2 = $true )
& ( iffalse = $true )
& ( upairset2E = $true )
& ( ifSingleton = $true )
& ( binunionIR = $true )
& ( emptyI = $true )
& ( upairsetIR = $true )
& ( binintersectTELcontra = $true )
& ( nonemptyI = $true )
& ( doubleComplementSub2 = $true )
& ( exuE3u = $true )
& ( subsetTrans = $true )
& ( dpsetconstrI = $true )
& ( setukpairinjR11 = $true )
& ( subset2powerset = $true )
& ( singletoninpowerset = $true )
& ( setminusI = $true )
& ( upairsetIL = $true )
& ( notdallE = $true )
& ( cartprodmempaircEq = $true )
& ( ex1E2 = $true )
& ( foundationAx = $true )
& ( subbreln = $true )
& ( contrasubsetT = $true )
& ( emptyE1 = $true )
& ( emptyinunitempty = $true )
& ( doubleComplementE1 = $true )
& ( cartprodfstin = $true )
& ( nonemptyImpWitness = $true )
& ( ap2apEq1 = $true )
& ( setukpairIR = $true )
& ( lam2lamEq = $true )
& ( replAx = $true )
& ( binintersectEL = $true )
& ( subsetI2 = $true )
& ( exuE1 = $true )
& ( exuEu = $true )
& ( setminusILneg = $true )
& ( ex1I = $true )
& ( dsetconstrER = $true )
& ( singletonprop = $true )
& ( symdiffI2 = $true )
& ( ex1E1 = $true )
& ( setadjoinOr = $true )
& ( ap2apEq2 = $true )
& ( kfstsingleton = $true )
& ( nonemptyE1 = $true )
& ( iffalseProp2 = $true )
& ( setunionsingleton1 = $true )
& ( iftrueProp1 = $true )
& ( disjointsetsI1 = $true )
& ( setukpairinjL1 = $true )
& ( cartprodpairmemER = $true )
& ( setunionE2 = $true )
& ( complementImpComplementIntersect = $true )
& ( setminusERneg = $true )
& ( binintersectRsub = $true )
& ( dsetconstrI = $true )
& ( binunionT_lem = $true )
& ( setminusELneg = $true )
& ( funcext2 = $true )
& ( inPowerset = $true )
& ( exuE2 = $true )
& ( setukpairinjR = $true )
& ( dpsetconstrSub = $true )
& ( subsetE2 = $true )
& ( setminusIRneg = $true )
& ( infuncsetfunc = $true )
& ( secondinupair = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR12 = $true )
& ( descrp = $true )
& ( cartprodsndin = $true )
& ( setadjoin__Cong = $true )
& ( ex1I2 = $true )
& ( omega__Cong = $true )
& ( descr__Cong = $true )
& ( setunionsingleton = $true )
& ( powersetTI1 = $true )
& ( setadjoinSub2 = $true )
& ( omegaSAx = $true )
& ( cartprodfstpairEq = $true )
& ( symdiffI1 = $true )
& ( emptyset__Cong = $true )
& ( cartprodpairsurjEq = $true )
& ( complementTE1 = $true )
& ( funcext = $true )
& ( setadjoinIR = $true )
& ( binintersectSubset1 = $true )
& ( lamp = $true )
& ( prop2setE = $true )
& ( theeq = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( dpsetconstrEL2 = $true )
& ( iftrueProp2 = $true )
& ( notinemptyset = $true )
& ( setminusSubset2 = $true )
& ( exuI2 = $true )
& ( eta1 = $true )
& ( setunionsingleton2 = $true )
& ( powersetI1 = $true )
& ( contrasubsetT3 = $true )
& ( dsetconstrEL = $true )
& ( binintersectSubset2 = $true )
& ( setextT = $true )
& ( setunionE = $true )
& ( complementTI1 = $true )
& ( ap2p = $true )
& ( dpsetconstrERa = $true )
& ( powerset__Cong = $true )
& ( funcGraphProp4 = $true )
& ( emptysetsubset = $true )
& ( singletonsswitch = $true )
& ( binunionE = $true )
& ( ksndpairEq = $true )
& ( cartprodsndpairEq = $true )
& ( setunionI = $true )
& ( setadjoinSub = $true )
& ( exuI3 = $true )
& ( ubforcartprodlem3 = $true )
& ( kpairp = $true )
& ( subsetemptysetimpeq = $true )
& ( symdiffE = $true )
& ( setadjoinE = $true )
& ( lamProp = $true )
& ( notequalI2 = $true )
& ( setminusEL = $true )
& ( dsetconstr__Cong = $true )
& ( kpairiskpair = $true )
& ( upairsubunion = $true )
& ( inCongP = $true )
& ( powersetE = $true )
& ( cartprodmempair1 = $true )
& ( setadjoinIL = $true )
& ( upairset2IR = $true )
& ( setminusER = $true )
& ( quantDeMorgan1 = $true )
& ( funcImageSingleton = $true )
& ( bs114d = $true )
& ( nonemptyI1 = $true )
& ( setunion__Cong = $true )
& ( emptysetAx = $true )
& ( prop2setI = $true )
& ( setukpairinjR1 = $true )
& ( contrasubsetT2 = $true )
& ( exuI1 = $true )
& ( dpsetconstrEL1 = $true )
& ( quantDeMorgan4 = $true )
& ( funcGraphProp3 = $true )
& ( setOfPairsIsBReln = $true )
& ( emptysetimpfalse = $true )
& ( complementSubsetComplementIntersect = $true )
& ( ubforcartprodlem1 = $true )
& ( binintersectTERcontra = $true )
& ( sepSubset = $true )
& ( powersetTE1 = $true )
& ( emptyInPowerset = $true )
& ( binunionEcases = $true )
& ( binintersectER = $true )
& ( powersetE1 = $true )
& ( ubforcartprodlem2 = $true )
& ( lam2p = $true )
& ( eqimpsubset1 = $true )
& ( setukpairIL = $true )
& ( setukpairinjL2 = $true )
& ( exuE3e = $true )
& ( binintersectSubset3 = $true )
& ( theprop = $true )
& ( notsubsetI = $true )
& ( prop2set2propI = $true )
& ( cartprodpairmemEL = $true )
& ( subsetTI = $true )
& ( setunionAx = $true )
& ( symdiffIneg1 = $true )
& ( powersetI = $true )
& ( omega0Ax = $true )
& ( eta2 = $true )
& ( contraSubsetComplement = $true )
& ( beta1 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( eqimpsubset2 = $true )
& ( upairsetE = $true )
& ( notinsingleton = $true )
& ( setminusSubset1 = $true )
& ( upairinpowunion = $true )
& ( notequalI1 = $true )
& ( funcGraphProp2 = $true )
& ( contrasubsetT1 = $true )
& ( setext = $true )
& ( cartprodpairin = $true )
& ( beta2 = $true )
& ( kpairsurjEq = $true )
& ( doubleComplementSub1 = $true )
& ( setextAx = $true )
& ( notdexE = $true )
& ( in__Cong = $true )
& ( subsetI1 = $true )
& ( setbeta = $true )
& ( iffalseProp1 = $true )
& ( apProp = $true )
& ( emptysetE = $true )
& ( complementTnotintersectT = $true )
& ( singletonsubset = $true )
& ( upairequniteq = $true )
& ( eqbreln = $true )
& ( setminusT_lem = $true )
& ( emptyinPowerset = $true )
& ( subsetE = $true )
& ( powersetAx = $true )
& ( vacuousDall = $true )
& ( singletonsuniq = $true )
& ( binintersectI = $true )
& ( powersetT_lem = $true )
& ( ifp = $true )
& ( binunionIL = $true )
& ( binunionLsub = $true )
& ( iftrue = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK253,sK254,sK255]),skolemize(X0,sK253),skolemize(X1,sK254),skolemize(X2,sK255)],[f1353]) ).
thf(f1424,plain,
( ( ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ( ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) )
= $true ) )
| ( complementT_lem != $true ) )
& ( ( complementT_lem = $true )
| ? [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ( ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ X0 ) )
!= $true ) ) ) ),
inference(nnf_transformation,[],[f856]) ).
thf(f1425,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ X1 ) )
= $true ) )
| ( complementT_lem != $true ) )
& ( ( complementT_lem = $true )
| ? [X2: $i,X3: $i] :
( ( ( in @ X2 @ ( powerset @ X3 ) )
= $true )
& ( $true
!= ( in @ ( setminus @ X3 @ X2 ) @ ( powerset @ X3 ) ) ) ) ) ),
inference(rectify,[],[f1424]) ).
thf(f1426,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ X1 ) )
= $true ) )
| ( complementT_lem != $true ) )
& ( ( complementT_lem = $true )
| ( ( $true
= ( in @ sK333 @ ( powerset @ sK334 ) ) )
& ( ( in @ ( setminus @ sK334 @ sK333 ) @ ( powerset @ sK334 ) )
!= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK333,sK334]),skolemize(X2,sK333),skolemize(X3,sK334)],[f1425]) ).
thf(f1436,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( binintersect @ X1 @ X0 )
= X0 ) )
| ( binintersectSubset4 != $true ) )
& ( ( binintersectSubset4 = $true )
| ? [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
& ( ( binintersect @ X1 @ X0 )
!= X0 ) ) ) ),
inference(nnf_transformation,[],[f973]) ).
thf(f1437,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( binintersect @ X1 @ X0 )
= X0 ) )
| ( binintersectSubset4 != $true ) )
& ( ( binintersectSubset4 = $true )
| ? [X2: $i,X3: $i] :
( ( ( subset @ X2 @ X3 )
= $true )
& ( ( binintersect @ X3 @ X2 )
!= X2 ) ) ) ),
inference(rectify,[],[f1436]) ).
thf(f1438,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( binintersect @ X1 @ X0 )
= X0 ) )
| ( binintersectSubset4 != $true ) )
& ( ( binintersectSubset4 = $true )
| ( ( ( subset @ sK345 @ sK346 )
= $true )
& ( sK345
!= ( binintersect @ sK346 @ sK345 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK345,sK346]),skolemize(X2,sK345),skolemize(X3,sK346)],[f1437]) ).
thf(f1650,plain,
( ( ! [X1: $i,X0: $i] :
( ( ( setminus @ X1 @ ( setminus @ X1 @ X0 ) )
= X0 )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) )
| ( doubleComplementEq != $true ) )
& ( ( doubleComplementEq = $true )
| ? [X1: $i,X0: $i] :
( ( ( setminus @ X1 @ ( setminus @ X1 @ X0 ) )
!= X0 )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) ) ) ),
inference(nnf_transformation,[],[f942]) ).
thf(f1651,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( setminus @ X0 @ ( setminus @ X0 @ X1 ) )
= X1 )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
| ( doubleComplementEq != $true ) )
& ( ( doubleComplementEq = $true )
| ? [X2: $i,X3: $i] :
( ( ( setminus @ X2 @ ( setminus @ X2 @ X3 ) )
!= X3 )
& ( ( in @ X3 @ ( powerset @ X2 ) )
= $true ) ) ) ),
inference(rectify,[],[f1650]) ).
thf(f1652,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( setminus @ X0 @ ( setminus @ X0 @ X1 ) )
= X1 )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
| ( doubleComplementEq != $true ) )
& ( ( doubleComplementEq = $true )
| ( ( sK583
!= ( setminus @ sK582 @ ( setminus @ sK582 @ sK583 ) ) )
& ( $true
= ( in @ sK583 @ ( powerset @ sK582 ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK582,sK583]),skolemize(X2,sK582),skolemize(X3,sK583)],[f1651]) ).
thf(f1886,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true )
| ( complementSubsetComplementIntersect != $true )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[],[f1120]) ).
thf(f2291,plain,
complementSubsetComplementIntersect = $true,
inference(cnf_transformation,[],[f1354]) ).
thf(f2453,plain,
( $true
= ( in @ sK253 @ ( powerset @ sK254 ) ) ),
inference(cnf_transformation,[],[f1354]) ).
thf(f2454,plain,
( $true
= ( in @ sK255 @ ( powerset @ sK254 ) ) ),
inference(cnf_transformation,[],[f1354]) ).
thf(f2455,plain,
( $true
= ( subset @ sK253 @ ( setminus @ sK254 @ sK255 ) ) ),
inference(cnf_transformation,[],[f1354]) ).
thf(f2456,plain,
( $true
!= ( subset @ sK255 @ ( setminus @ sK254 @ sK253 ) ) ),
inference(cnf_transformation,[],[f1354]) ).
thf(f2471,plain,
binintersectSubset4 = $true,
inference(cnf_transformation,[],[f1354]) ).
thf(f2472,plain,
complementT_lem = $true,
inference(cnf_transformation,[],[f1354]) ).
thf(f2474,plain,
doubleComplementEq = $true,
inference(cnf_transformation,[],[f1354]) ).
thf(f2589,plain,
! [X0: $i,X1: $i] :
( ( ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ X1 ) )
= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( complementT_lem != $true ) ),
inference(cnf_transformation,[],[f1426]) ).
thf(f2610,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( binintersect @ X1 @ X0 )
= X0 )
| ( binintersectSubset4 != $true ) ),
inference(cnf_transformation,[],[f1438]) ).
thf(f2929,plain,
! [X0: $i,X1: $i] :
( ( doubleComplementEq != $true )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ( ( setminus @ X0 @ ( setminus @ X0 @ X1 ) )
= X1 ) ),
inference(cnf_transformation,[],[f1652]) ).
thf(f3485,definition,
( spl792_29
<=> ( complementT_lem = $true ) ),
introduced(definition,[new_symbols(definition,[spl792_29])],[avatar_definition]) ).
thf(f3488,plain,
spl792_29,
inference(avatar_split_clause,[],[f2472,f3485]) ).
thf(f3674,definition,
( spl792_71
<=> ( $true
= ( in @ sK255 @ ( powerset @ sK254 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl792_71])],[avatar_definition]) ).
thf(f3676,plain,
( ( $true
= ( in @ sK255 @ ( powerset @ sK254 ) ) )
| ~ spl792_71 ),
inference(avatar_component_clause,[],[f3674]) ).
thf(f3677,plain,
spl792_71,
inference(avatar_split_clause,[],[f2454,f3674]) ).
thf(f3798,definition,
( spl792_99
<=> ( $true
= ( in @ sK253 @ ( powerset @ sK254 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl792_99])],[avatar_definition]) ).
thf(f3800,plain,
( ( $true
= ( in @ sK253 @ ( powerset @ sK254 ) ) )
| ~ spl792_99 ),
inference(avatar_component_clause,[],[f3798]) ).
thf(f3801,plain,
spl792_99,
inference(avatar_split_clause,[],[f2453,f3798]) ).
thf(f5184,definition,
( spl792_407
<=> ( doubleComplementEq = $true ) ),
introduced(definition,[new_symbols(definition,[spl792_407])],[avatar_definition]) ).
thf(f5188,definition,
( spl792_408
<=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ( ( setminus @ X0 @ ( setminus @ X0 @ X1 ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl792_408])],[avatar_definition]) ).
thf(f5189,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ( ( setminus @ X0 @ ( setminus @ X0 @ X1 ) )
= X1 ) )
| ~ spl792_408 ),
inference(avatar_component_clause,[],[f5188]) ).
thf(f5190,plain,
( ~ spl792_407
| spl792_408 ),
inference(avatar_split_clause,[],[f2929,f5188,f5184]) ).
thf(f6006,definition,
( spl792_584
<=> ( binintersectSubset4 = $true ) ),
introduced(definition,[new_symbols(definition,[spl792_584])],[avatar_definition]) ).
thf(f6057,definition,
( spl792_595
<=> ( complementSubsetComplementIntersect = $true ) ),
introduced(definition,[new_symbols(definition,[spl792_595])],[avatar_definition]) ).
thf(f6505,definition,
( spl792_690
<=> ( $true
= ( subset @ sK255 @ ( setminus @ sK254 @ sK253 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl792_690])],[avatar_definition]) ).
thf(f6507,plain,
( ( $true
!= ( subset @ sK255 @ ( setminus @ sK254 @ sK253 ) ) )
| spl792_690 ),
inference(avatar_component_clause,[],[f6505]) ).
thf(f6508,plain,
~ spl792_690,
inference(avatar_split_clause,[],[f2456,f6505]) ).
thf(f6686,definition,
( spl792_727
<=> ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( binintersect @ X1 @ X0 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl792_727])],[avatar_definition]) ).
thf(f6687,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( binintersect @ X1 @ X0 )
= X0 ) )
| ~ spl792_727 ),
inference(avatar_component_clause,[],[f6686]) ).
thf(f6688,plain,
( spl792_727
| ~ spl792_584 ),
inference(avatar_split_clause,[],[f2610,f6006,f6686]) ).
thf(f6802,definition,
( spl792_752
<=> ( $true
= ( subset @ sK253 @ ( setminus @ sK254 @ sK255 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl792_752])],[avatar_definition]) ).
thf(f6804,plain,
( ( $true
= ( subset @ sK253 @ ( setminus @ sK254 @ sK255 ) ) )
| ~ spl792_752 ),
inference(avatar_component_clause,[],[f6802]) ).
thf(f6805,plain,
spl792_752,
inference(avatar_split_clause,[],[f2455,f6802]) ).
thf(f7345,plain,
spl792_595,
inference(avatar_split_clause,[],[f2291,f6057]) ).
thf(f7520,definition,
( spl792_898
<=> ! [X0: $i,X1: $i] :
( ( ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ X1 ) )
= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl792_898])],[avatar_definition]) ).
thf(f7521,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ X1 ) )
= $true ) )
| ~ spl792_898 ),
inference(avatar_component_clause,[],[f7520]) ).
thf(f7522,plain,
( ~ spl792_29
| spl792_898 ),
inference(avatar_split_clause,[],[f2589,f7520,f3485]) ).
thf(f8333,plain,
spl792_407,
inference(avatar_split_clause,[],[f2474,f5184]) ).
thf(f8461,definition,
( spl792_1089
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl792_1089])],[avatar_definition]) ).
thf(f8462,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true ) )
| ~ spl792_1089 ),
inference(avatar_component_clause,[],[f8461]) ).
thf(f8463,plain,
( spl792_1089
| ~ spl792_595 ),
inference(avatar_split_clause,[],[f1886,f6057,f8461]) ).
thf(f8874,plain,
spl792_584,
inference(avatar_split_clause,[],[f2471,f6006]) ).
thf(f9541,plain,
( ( ( binintersect @ ( setminus @ sK254 @ sK255 ) @ sK253 )
= sK253 )
| ( $true != $true )
| ~ spl792_727
| ~ spl792_752 ),
inference(superposition,[],[f6687,f6804]) ).
thf(f9545,plain,
( ( ( binintersect @ ( setminus @ sK254 @ sK255 ) @ sK253 )
= sK253 )
| ~ spl792_727
| ~ spl792_752 ),
inference(trivial_inequality_removal,[],[f9541]) ).
thf(f9555,definition,
( spl792_1247
<=> ( ( binintersect @ ( setminus @ sK254 @ sK255 ) @ sK253 )
= sK253 ) ),
introduced(definition,[new_symbols(definition,[spl792_1247])],[avatar_definition]) ).
thf(f9557,plain,
( ( ( binintersect @ ( setminus @ sK254 @ sK255 ) @ sK253 )
= sK253 )
| ~ spl792_1247 ),
inference(avatar_component_clause,[],[f9555]) ).
thf(f9558,plain,
( spl792_1247
| ~ spl792_727
| ~ spl792_752 ),
inference(avatar_split_clause,[],[f9545,f6802,f6686,f9555]) ).
thf(f10532,plain,
( ( ( setminus @ sK254 @ ( setminus @ sK254 @ sK255 ) )
= sK255 )
| ( $true != $true )
| ~ spl792_71
| ~ spl792_408 ),
inference(superposition,[],[f5189,f3676]) ).
thf(f10556,plain,
( ( ( setminus @ sK254 @ ( setminus @ sK254 @ sK255 ) )
= sK255 )
| ~ spl792_71
| ~ spl792_408 ),
inference(trivial_inequality_removal,[],[f10532]) ).
thf(f10574,definition,
( spl792_1300
<=> ( ( setminus @ sK254 @ ( setminus @ sK254 @ sK255 ) )
= sK255 ) ),
introduced(definition,[new_symbols(definition,[spl792_1300])],[avatar_definition]) ).
thf(f10576,plain,
( ( ( setminus @ sK254 @ ( setminus @ sK254 @ sK255 ) )
= sK255 )
| ~ spl792_1300 ),
inference(avatar_component_clause,[],[f10574]) ).
thf(f10577,plain,
( spl792_1300
| ~ spl792_71
| ~ spl792_408 ),
inference(avatar_split_clause,[],[f10556,f5188,f3674,f10574]) ).
thf(f11197,plain,
( ( $true != $true )
| ( $true
= ( in @ ( setminus @ sK254 @ sK255 ) @ ( powerset @ sK254 ) ) )
| ~ spl792_71
| ~ spl792_898 ),
inference(superposition,[],[f7521,f3676]) ).
thf(f11214,plain,
( ( $true
= ( in @ ( setminus @ sK254 @ sK255 ) @ ( powerset @ sK254 ) ) )
| ~ spl792_71
| ~ spl792_898 ),
inference(trivial_inequality_removal,[],[f11197]) ).
thf(f11228,definition,
( spl792_1335
<=> ( $true
= ( in @ ( setminus @ sK254 @ sK255 ) @ ( powerset @ sK254 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl792_1335])],[avatar_definition]) ).
thf(f11230,plain,
( ( $true
= ( in @ ( setminus @ sK254 @ sK255 ) @ ( powerset @ sK254 ) ) )
| ~ spl792_1335 ),
inference(avatar_component_clause,[],[f11228]) ).
thf(f11231,plain,
( spl792_1335
| ~ spl792_71
| ~ spl792_898 ),
inference(avatar_split_clause,[],[f11214,f7520,f3674,f11228]) ).
thf(f13044,plain,
( ! [X0: $i] :
( ( $true
!= ( in @ X0 @ ( powerset @ sK254 ) ) )
| ( $true
= ( subset @ ( setminus @ sK254 @ X0 ) @ ( setminus @ sK254 @ ( binintersect @ X0 @ sK253 ) ) ) )
| ( $true != $true ) )
| ~ spl792_99
| ~ spl792_1089 ),
inference(superposition,[],[f8462,f3800]) ).
thf(f13075,plain,
( ! [X0: $i] :
( ( $true
!= ( in @ X0 @ ( powerset @ sK254 ) ) )
| ( $true
= ( subset @ ( setminus @ sK254 @ X0 ) @ ( setminus @ sK254 @ ( binintersect @ X0 @ sK253 ) ) ) ) )
| ~ spl792_99
| ~ spl792_1089 ),
inference(trivial_inequality_removal,[],[f13044]) ).
thf(f21487,plain,
( ( ( subset @ ( setminus @ sK254 @ ( setminus @ sK254 @ sK255 ) ) @ ( setminus @ sK254 @ ( binintersect @ ( setminus @ sK254 @ sK255 ) @ sK253 ) ) )
= $true )
| ( $true != $true )
| ~ spl792_99
| ~ spl792_1089
| ~ spl792_1335 ),
inference(superposition,[],[f13075,f11230]) ).
thf(f21511,plain,
( ( ( subset @ ( setminus @ sK254 @ ( setminus @ sK254 @ sK255 ) ) @ ( setminus @ sK254 @ ( binintersect @ ( setminus @ sK254 @ sK255 ) @ sK253 ) ) )
= $true )
| ~ spl792_99
| ~ spl792_1089
| ~ spl792_1335 ),
inference(trivial_inequality_removal,[],[f21487]) ).
thf(f21537,plain,
( ( $true
= ( subset @ sK255 @ ( setminus @ sK254 @ ( binintersect @ ( setminus @ sK254 @ sK255 ) @ sK253 ) ) ) )
| ~ spl792_99
| ~ spl792_1089
| ~ spl792_1300
| ~ spl792_1335 ),
inference(forward_demodulation,[],[f21511,f10576]) ).
thf(f21566,plain,
( ( $true
= ( subset @ sK255 @ ( setminus @ sK254 @ sK253 ) ) )
| ~ spl792_99
| ~ spl792_1089
| ~ spl792_1247
| ~ spl792_1300
| ~ spl792_1335 ),
inference(forward_demodulation,[],[f21537,f9557]) ).
thf(f21582,plain,
( $false
| ~ spl792_99
| spl792_690
| ~ spl792_1089
| ~ spl792_1247
| ~ spl792_1300
| ~ spl792_1335 ),
inference(forward_subsumption_resolution,[],[f21566,f6507]) ).
thf(f21583,plain,
( ~ spl792_99
| spl792_690
| ~ spl792_1089
| ~ spl792_1247
| ~ spl792_1300
| ~ spl792_1335 ),
inference(avatar_contradiction_clause,[],[f21582]) ).
cnf(s17,plain,
spl792_29,
inference(sat_conversion,[],[f3488]) ).
cnf(s45,plain,
spl792_71,
inference(sat_conversion,[],[f3677]) ).
cnf(s61,plain,
spl792_99,
inference(sat_conversion,[],[f3801]) ).
cnf(s298,plain,
( ~ spl792_407
| spl792_408 ),
inference(sat_conversion,[],[f5190]) ).
cnf(s580,plain,
~ spl792_690,
inference(sat_conversion,[],[f6508]) ).
cnf(s628,plain,
( ~ spl792_584
| spl792_727 ),
inference(sat_conversion,[],[f6688]) ).
cnf(s655,plain,
spl792_752,
inference(sat_conversion,[],[f6805]) ).
cnf(s781,plain,
spl792_595,
inference(sat_conversion,[],[f7345]) ).
cnf(s832,plain,
( ~ spl792_29
| spl792_898 ),
inference(sat_conversion,[],[f7522]) ).
cnf(s1042,plain,
spl792_407,
inference(sat_conversion,[],[f8333]) ).
cnf(s1080,plain,
( ~ spl792_595
| spl792_1089 ),
inference(sat_conversion,[],[f8463]) ).
cnf(s1187,plain,
spl792_584,
inference(sat_conversion,[],[f8874]) ).
cnf(s1281,plain,
( ~ spl792_727
| ~ spl792_752
| spl792_1247 ),
inference(sat_conversion,[],[f9558]) ).
cnf(s1336,plain,
( ~ spl792_71
| ~ spl792_408
| spl792_1300 ),
inference(sat_conversion,[],[f10577]) ).
cnf(s1369,plain,
( ~ spl792_71
| ~ spl792_898
| spl792_1335 ),
inference(sat_conversion,[],[f11231]) ).
cnf(s2000,plain,
( ~ spl792_99
| spl792_690
| ~ spl792_1089
| ~ spl792_1247
| ~ spl792_1300
| ~ spl792_1335 ),
inference(sat_conversion,[],[f21583]) ).
cnf(s2049,plain,
spl792_1089,
inference(rat,[],[s1080,s781]) ).
cnf(s2089,plain,
spl792_727,
inference(rat,[],[s628,s1187]) ).
cnf(s2091,plain,
spl792_1247,
inference(rat,[],[s1281,s655,s2089]) ).
cnf(s2204,plain,
spl792_408,
inference(rat,[],[s298,s1042]) ).
cnf(s2562,plain,
spl792_1300,
inference(rat,[],[s1336,s2204,s45]) ).
cnf(s2579,plain,
~ spl792_1335,
inference(rat,[],[s2000,s61,s580,s2091,s2049,s2562]) ).
cnf(s2603,plain,
~ spl792_898,
inference(rat,[],[s1369,s45,s2579]) ).
cnf(s2609,plain,
~ spl792_29,
inference(rat,[],[s832,s2603]) ).
cnf(s2632,plain,
$false,
inference(rat,[],[s17,s2609]) ).
thf(f21584,plain,
$false,
inference(avatar_sat_refutation,[],[s2632]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU737^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n002.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 14:21:22 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.22/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.42 % (1357906)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.57/0.42 % (1357911)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3557480541:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.57/0.42 % (1357917)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.57/0.42 % (1357917)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
% 0.57/0.42 % (1357912)lrs+10_16_si=on:nwc=1.5:random_seed=2374933870:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.57/0.42 % (1357913)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=54058673:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.57/0.42 % (1357914)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=3239145824: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)
% 0.57/0.42 % (1357915)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=917519310:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.57/0.42 % (1357916)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1198087448:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.57/0.42 % (1357917)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=672889432:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.57/0.42 % (1357913)Instruction limit reached!
% 0.57/0.42 % (1357913)------------------------------
% 0.57/0.42 % (1357913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.42 % (1357913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.42 % (1357913)CaDiCaL version: 2.1.3
% 0.57/0.42 % (1357913)Termination reason: Instruction limit
% 0.57/0.42 % (1357913)Termination phase: shuffling
% 0.57/0.42 % (1357913)Time elapsed: 0.003 s
% 0.57/0.42 % (1357913)Peak memory usage: 10 MB
% 0.57/0.42 % (1357913)Instructions burned: 6 (million)
% 0.57/0.42 % (1357915)Instruction limit reached!
% 0.57/0.42 % (1357915)------------------------------
% 0.57/0.42 % (1357915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.42 % (1357915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.42 % (1357915)CaDiCaL version: 2.1.3
% 0.57/0.42 % (1357915)Termination reason: Instruction limit
% 0.57/0.42 % (1357915)Termination phase: shuffling
% 0.57/0.42 % (1357915)Time elapsed: 0.011 s
% 0.57/0.42 % (1357915)Peak memory usage: 10 MB
% 0.57/0.42 % (1357915)Instructions burned: 24 (million)
% 0.57/0.42 % (1357911)Instruction limit reached!
% 0.57/0.42 % (1357911)------------------------------
% 0.57/0.42 % (1357911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.42 % (1357911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.42 % (1357911)CaDiCaL version: 2.1.3
% 0.57/0.42 % (1357911)Termination reason: Instruction limit
% 0.57/0.42 % (1357911)Termination phase: Preprocessing 3
% 0.57/0.42 % (1357911)Time elapsed: 0.022 s
% 0.57/0.42 % (1357911)Peak memory usage: 13 MB
% 0.57/0.42 % (1357911)Instructions burned: 87 (million)
% 0.57/0.42 % (1357912)Instruction limit reached!
% 0.57/0.42 % (1357912)------------------------------
% 0.57/0.42 % (1357912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.42 % (1357912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.42 % (1357912)CaDiCaL version: 2.1.3
% 0.57/0.42 % (1357912)Termination reason: Instruction limit
% 0.57/0.42 % (1357912)Termination phase: shuffling
% 0.57/0.42 % (1357912)Time elapsed: 0.018 s
% 0.57/0.42 % (1357912)Peak memory usage: 10 MB
% 0.57/0.42 % (1357912)Instructions burned: 19 (million)
% 0.57/0.42 % (1357927)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.57/0.42 % (1357925)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1245640726:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.57/0.45 % (1357925)Instruction limit reached!
% 0.57/0.45 % (1357925)------------------------------
% 0.57/0.45 % (1357925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.45 % (1357925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.45 % (1357925)CaDiCaL version: 2.1.3
% 0.57/0.45 % (1357925)Termination reason: Instruction limit
% 0.57/0.45 % (1357925)Termination phase: shuffling
% 0.57/0.45 % (1357925)Time elapsed: 0.003 s
% 0.57/0.45 % (1357925)Peak memory usage: 10 MB
% 0.57/0.45 % (1357925)Instructions burned: 5 (million)
% 0.57/0.45 % (1357926)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2281107061:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.57/0.45 % (1357927)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2732111541:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.57/0.45 % (1357926)Instruction limit reached!
% 0.57/0.45 % (1357926)------------------------------
% 0.57/0.45 % (1357926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.45 % (1357926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.45 % (1357926)CaDiCaL version: 2.1.3
% 0.57/0.45 % (1357926)Termination reason: Instruction limit
% 0.57/0.45 % (1357926)Termination phase: shuffling
% 0.57/0.45 % (1357926)Time elapsed: 0.003 s
% 0.57/0.45 % (1357926)Peak memory usage: 10 MB
% 0.57/0.45 % (1357926)Instructions burned: 6 (million)
% 0.57/0.45 % (1357927)Instruction limit reached!
% 0.57/0.45 % (1357927)------------------------------
% 0.57/0.45 % (1357927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.45 % (1357916)Instruction limit reached!
% 0.57/0.45 % (1357916)------------------------------
% 0.57/0.45 % (1357916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.45 % (1357916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.45 % (1357916)CaDiCaL version: 2.1.3
% 0.57/0.45 % (1357916)Termination reason: Instruction limit
% 0.57/0.45 % (1357916)Termination phase: Preprocessing 3
% 0.57/0.45 % (1357916)Time elapsed: 0.035 s
% 0.57/0.45 % (1357916)Peak memory usage: 12 MB
% 0.57/0.45 % (1357916)Instructions burned: 75 (million)
% 0.57/0.45 % (1357927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.45 % (1357927)CaDiCaL version: 2.1.3
% 0.57/0.45 % (1357927)Termination reason: Instruction limit
% 0.57/0.45 % (1357927)Termination phase: shuffling
% 0.57/0.45 % (1357927)Time elapsed: 0.002 s
% 0.57/0.45 % (1357927)Peak memory usage: 10 MB
% 0.57/0.45 % (1357927)Instructions burned: 8 (million)
% 0.57/0.45 % (1357928)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1512644686:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.57/0.45 % (1357930)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
% 0.57/0.45 % (1357930)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.57/0.45 % (1357928)Instruction limit reached!
% 0.57/0.45 % (1357928)------------------------------
% 0.57/0.45 % (1357928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.45 % (1357928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.45 % (1357928)CaDiCaL version: 2.1.3
% 0.57/0.45 % (1357928)Termination reason: Instruction limit
% 0.57/0.45 % (1357928)Termination phase: shuffling
% 0.57/0.45 % (1357928)Time elapsed: 0.006 s
% 0.57/0.45 % (1357928)Peak memory usage: 10 MB
% 0.57/0.45 % (1357928)Instructions burned: 12 (million)
% 0.57/0.45 % (1357930)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3493380582:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.57/0.45 % (1357936)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.57/0.45 % (1357936)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=3805133545:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.24/0.48 % (1357936)Instruction limit reached!
% 1.24/0.48 % (1357936)------------------------------
% 1.24/0.48 % (1357936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.48 % (1357936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.48 % (1357936)CaDiCaL version: 2.1.3
% 1.24/0.48 % (1357936)Termination reason: Instruction limit
% 1.24/0.48 % (1357936)Termination phase: shuffling
% 1.24/0.48 % (1357936)Time elapsed: 0.001 s
% 1.24/0.48 % (1357936)Peak memory usage: 10 MB
% 1.24/0.48 % (1357936)Instructions burned: 4 (million)
% 1.24/0.48 % (1357934)lrs+10_1_si=on:cs=on:random_seed=1926879343:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.24/0.48 % (1357933)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=736495514:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.24/0.48 % (1357934)Instruction limit reached!
% 1.24/0.48 % (1357934)------------------------------
% 1.24/0.48 % (1357934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.48 % (1357934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.48 % (1357934)CaDiCaL version: 2.1.3
% 1.24/0.48 % (1357934)Termination reason: Instruction limit
% 1.24/0.48 % (1357934)Termination phase: shuffling
% 1.24/0.48 % (1357934)Time elapsed: 0.004 s
% 1.24/0.48 % (1357934)Peak memory usage: 10 MB
% 1.24/0.48 % (1357934)Instructions burned: 8 (million)
% 1.24/0.48 % (1357930)Instruction limit reached!
% 1.24/0.48 % (1357930)------------------------------
% 1.24/0.48 % (1357930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.48 % (1357930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.48 % (1357930)CaDiCaL version: 2.1.3
% 1.24/0.48 % (1357930)Termination reason: Instruction limit
% 1.24/0.48 % (1357930)Termination phase: shuffling
% 1.24/0.48 % (1357930)Time elapsed: 0.013 s
% 1.24/0.48 % (1357930)Peak memory usage: 10 MB
% 1.24/0.48 % (1357930)Instructions burned: 29 (million)
% 1.24/0.48 % (1357940)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3668240519:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.24/0.48 % (1357937)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1673843590:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.24/0.48 % (1357917)Instruction limit reached!
% 1.24/0.48 % (1357917)------------------------------
% 1.24/0.48 % (1357917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.48 % (1357917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.48 % (1357917)CaDiCaL version: 2.1.3
% 1.24/0.48 % (1357917)Termination reason: Instruction limit
% 1.24/0.48 % (1357917)Termination phase: Saturation
% 1.24/0.48 % (1357917)Time elapsed: 0.067 s
% 1.24/0.48 % (1357917)Peak memory usage: 14 MB
% 1.24/0.48 % (1357917)Instructions burned: 159 (million)
% 1.24/0.48 % (1357943)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1827569444:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.24/0.48 % (1357944)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1577105551:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.24/0.48 % (1357937)Instruction limit reached!
% 1.24/0.48 % (1357937)------------------------------
% 1.24/0.48 % (1357937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.48 % (1357937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.48 % (1357937)CaDiCaL version: 2.1.3
% 1.24/0.48 % (1357937)Termination reason: Instruction limit
% 1.24/0.48 % (1357937)Termination phase: Property scanning
% 1.24/0.48 % (1357937)Time elapsed: 0.017 s
% 1.24/0.48 % (1357937)Peak memory usage: 11 MB
% 1.24/0.48 % (1357937)Instructions burned: 38 (million)
% 1.24/0.48 % (1357947)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=674995790:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.24/0.48 % (1357944)Instruction limit reached!
% 1.24/0.48 % (1357944)------------------------------
% 1.24/0.48 % (1357944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.48 % (1357944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54 % (1357944)CaDiCaL version: 2.1.3
% 1.24/0.54 % (1357944)Termination reason: Instruction limit
% 1.24/0.54 % (1357944)Termination phase: shuffling
% 1.24/0.54 % (1357944)Time elapsed: 0.007 s
% 1.24/0.54 % (1357944)Peak memory usage: 11 MB
% 1.24/0.54 % (1357944)Instructions burned: 14 (million)
% 1.24/0.54 % (1357943)Instruction limit reached!
% 1.24/0.54 % (1357943)------------------------------
% 1.24/0.54 % (1357943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54 % (1357943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54 % (1357943)CaDiCaL version: 2.1.3
% 1.24/0.54 % (1357943)Termination reason: Instruction limit
% 1.24/0.54 % (1357943)Termination phase: Property scanning
% 1.24/0.54 % (1357943)Time elapsed: 0.012 s
% 1.24/0.54 % (1357943)Peak memory usage: 11 MB
% 1.24/0.54 % (1357943)Instructions burned: 25 (million)
% 1.24/0.54 % (1357933)Instruction limit reached!
% 1.24/0.54 % (1357933)------------------------------
% 1.24/0.54 % (1357933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54 % (1357933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54 % (1357933)CaDiCaL version: 2.1.3
% 1.24/0.54 % (1357933)Termination reason: Instruction limit
% 1.24/0.54 % (1357933)Termination phase: Property scanning
% 1.24/0.54 % (1357933)Time elapsed: 0.037 s
% 1.24/0.54 % (1357933)Peak memory usage: 11 MB
% 1.24/0.54 % (1357933)Instructions burned: 86 (million)
% 1.24/0.54 % (1357950)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1764660748:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.24/0.54 % (1357952)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2328802529: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)
% 1.24/0.54 % (1357952)Instruction limit reached!
% 1.24/0.54 % (1357952)------------------------------
% 1.24/0.54 % (1357952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54 % (1357952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54 % (1357952)CaDiCaL version: 2.1.3
% 1.24/0.54 % (1357952)Termination reason: Instruction limit
% 1.24/0.54 % (1357952)Termination phase: shuffling
% 1.24/0.54 % (1357952)Time elapsed: 0.002 s
% 1.24/0.54 % (1357952)Peak memory usage: 10 MB
% 1.24/0.54 % (1357952)Instructions burned: 3 (million)
% 1.24/0.54 % (1357950)Instruction limit reached!
% 1.24/0.54 % (1357950)------------------------------
% 1.24/0.54 % (1357950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54 % (1357950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54 % (1357950)CaDiCaL version: 2.1.3
% 1.24/0.54 % (1357950)Termination reason: Instruction limit
% 1.24/0.54 % (1357950)Termination phase: shuffling
% 1.24/0.54 % (1357950)Time elapsed: 0.007 s
% 1.24/0.54 % (1357950)Peak memory usage: 11 MB
% 1.24/0.54 % (1357950)Instructions burned: 16 (million)
% 1.24/0.54 % (1357954)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3972968442:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.24/0.54 % (1357953)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4136693734:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.24/0.54 % (1357940)Instruction limit reached!
% 1.24/0.54 % (1357940)------------------------------
% 1.24/0.54 % (1357940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54 % (1357940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54 % (1357940)CaDiCaL version: 2.1.3
% 1.24/0.54 % (1357940)Termination reason: Instruction limit
% 1.24/0.54 % (1357940)Termination phase: Saturation
% 1.24/0.54 % (1357940)Time elapsed: 0.058 s
% 1.24/0.54 % (1357940)Peak memory usage: 15 MB
% 1.24/0.54 % (1357940)Instructions burned: 252 (million)
% 1.24/0.54 % (1357954)Instruction limit reached!
% 1.24/0.54 % (1357954)------------------------------
% 1.24/0.54 % (1357954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54 % (1357954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54 % (1357954)CaDiCaL version: 2.1.3
% 1.24/0.54 % (1357954)Termination reason: Instruction limit
% 1.24/0.54 % (1357954)Termination phase: shuffling
% 1.24/0.54 % (1357954)Time elapsed: 0.011 s
% 1.24/0.54 % (1357954)Peak memory usage: 11 MB
% 1.24/0.54 % (1357954)Instructions burned: 24 (million)
% 1.89/0.60 % (1357953)Instruction limit reached!
% 1.89/0.60 % (1357953)------------------------------
% 1.89/0.60 % (1357953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.60 % (1357953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.60 % (1357953)CaDiCaL version: 2.1.3
% 1.89/0.60 % (1357953)Termination reason: Instruction limit
% 1.89/0.60 % (1357953)Termination phase: shuffling
% 1.89/0.60 % (1357953)Time elapsed: 0.013 s
% 1.89/0.60 % (1357953)Peak memory usage: 10 MB
% 1.89/0.60 % (1357953)Instructions burned: 27 (million)
% 1.89/0.60 % (1357962)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.89/0.60 % (1357962)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.89/0.60 % (1357961)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1888128264:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.89/0.60 % (1357968)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.89/0.60 % (1357962)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=2400144378:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.89/0.60 % (1357968)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=1435245730:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.89/0.60 % (1357968)Instruction limit reached!
% 1.89/0.60 % (1357968)------------------------------
% 1.89/0.60 % (1357968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.60 % (1357968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.60 % (1357968)CaDiCaL version: 2.1.3
% 1.89/0.60 % (1357968)Termination reason: Instruction limit
% 1.89/0.60 % (1357968)Termination phase: shuffling
% 1.89/0.60 % (1357968)Time elapsed: 0.003 s
% 1.89/0.60 % (1357968)Peak memory usage: 10 MB
% 1.89/0.60 % (1357968)Instructions burned: 14 (million)
% 1.89/0.60 % (1357962)Instruction limit reached!
% 1.89/0.60 % (1357962)------------------------------
% 1.89/0.60 % (1357962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.60 % (1357962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.60 % (1357962)CaDiCaL version: 2.1.3
% 1.89/0.60 % (1357962)Termination reason: Instruction limit
% 1.89/0.60 % (1357962)Termination phase: shuffling
% 1.89/0.60 % (1357962)Time elapsed: 0.007 s
% 1.89/0.60 % (1357962)Peak memory usage: 10 MB
% 1.89/0.60 % (1357962)Instructions burned: 14 (million)
% 1.89/0.60 % (1357970)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=3221373611:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.89/0.60 % (1357978)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3456062047:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.89/0.60 % (1357972)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2684304828:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.89/0.60 % (1357972)Instruction limit reached!
% 1.89/0.60 % (1357972)------------------------------
% 1.89/0.60 % (1357972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.60 % (1357972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.60 % (1357972)CaDiCaL version: 2.1.3
% 1.89/0.60 % (1357972)Termination reason: Instruction limit
% 1.89/0.60 % (1357972)Termination phase: shuffling
% 1.89/0.60 % (1357972)Time elapsed: 0.004 s
% 1.89/0.60 % (1357972)Peak memory usage: 10 MB
% 1.89/0.60 % (1357972)Instructions burned: 8 (million)
% 1.89/0.60 % (1357978)Instruction limit reached!
% 1.89/0.60 % (1357978)------------------------------
% 1.89/0.60 % (1357978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.60 % (1357978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.60 % (1357978)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1357978)Termination reason: Instruction limit
% 2.30/0.66 % (1357978)Termination phase: shuffling
% 2.30/0.66 % (1357978)Time elapsed: 0.006 s
% 2.30/0.66 % (1357978)Peak memory usage: 11 MB
% 2.30/0.66 % (1357978)Instructions burned: 26 (million)
% 2.30/0.66 % (1357980)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=919112104:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.30/0.66 % (1357961)Instruction limit reached!
% 2.30/0.66 % (1357961)------------------------------
% 2.30/0.66 % (1357961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.66 % (1357961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.66 % (1357961)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1357961)Termination reason: Instruction limit
% 2.30/0.66 % (1357961)Termination phase: Preprocessing 3
% 2.30/0.66 % (1357961)Time elapsed: 0.028 s
% 2.30/0.66 % (1357961)Peak memory usage: 12 MB
% 2.30/0.66 % (1357961)Instructions burned: 60 (million)
% 2.30/0.66 % (1357970)Instruction limit reached!
% 2.30/0.66 % (1357970)------------------------------
% 2.30/0.66 % (1357970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.66 % (1357970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.66 % (1357970)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1357970)Termination reason: Instruction limit
% 2.30/0.66 % (1357970)Termination phase: shuffling
% 2.30/0.66 % (1357970)Time elapsed: 0.014 s
% 2.30/0.66 % (1357970)Peak memory usage: 11 MB
% 2.30/0.66 % (1357970)Instructions burned: 31 (million)
% 2.30/0.66 % (1357980)Instruction limit reached!
% 2.30/0.66 % (1357980)------------------------------
% 2.30/0.66 % (1357980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.66 % (1357980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.66 % (1357980)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1357980)Termination reason: Instruction limit
% 2.30/0.66 % (1357980)Termination phase: shuffling
% 2.30/0.66 % (1357980)Time elapsed: 0.009 s
% 2.30/0.66 % (1357980)Peak memory usage: 11 MB
% 2.30/0.66 % (1357980)Instructions burned: 21 (million)
% 2.30/0.66 % (1357986)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=932092333:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.30/0.66 % (1357987)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1720469826:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.30/0.66 % (1357992)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=282542690:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.30/0.66 % (1357993)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2465350256:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.30/0.66 % (1357995)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.30/0.66 % (1357995)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=622595865:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.30/0.66 % (1357995)Instruction limit reached!
% 2.30/0.66 % (1357995)------------------------------
% 2.30/0.66 % (1357995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.66 % (1357995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.66 % (1357995)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1357995)Termination reason: Instruction limit
% 2.30/0.66 % (1357995)Termination phase: shuffling
% 2.30/0.66 % (1357995)Time elapsed: 0.004 s
% 2.30/0.66 % (1357995)Peak memory usage: 10 MB
% 2.30/0.66 % (1357995)Instructions burned: 8 (million)
% 2.30/0.66 % (1357993)Instruction limit reached!
% 2.30/0.66 % (1357993)------------------------------
% 2.30/0.66 % (1357993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.66 % (1357993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.66 % (1357993)CaDiCaL version: 2.1.3
% 2.30/0.66 % (1357993)Termination reason: Instruction limit
% 2.30/0.66 % (1357993)Termination phase: Property scanning
% 2.30/0.66 % (1357993)Time elapsed: 0.019 s
% 2.30/0.66 % (1357993)Peak memory usage: 11 MB
% 2.30/0.66 % (1357993)Instructions burned: 43 (million)
% 2.30/0.66 % (1358009)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1007766795:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.61/0.74 % (1358012)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=2166029563: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)
% 2.61/0.74 % (1357987)Instruction limit reached!
% 2.61/0.74 % (1357987)------------------------------
% 2.61/0.74 % (1357987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.74 % (1357987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.74 % (1357987)CaDiCaL version: 2.1.3
% 2.61/0.74 % (1357987)Termination reason: Instruction limit
% 2.61/0.74 % (1357987)Termination phase: Property scanning
% 2.61/0.74 % (1357987)Time elapsed: 0.046 s
% 2.61/0.74 % (1357987)Peak memory usage: 12 MB
% 2.61/0.74 % (1357987)Instructions burned: 143 (million)
% 2.61/0.74 % (1358022)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.61/0.74 % (1358022)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=150643063:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.61/0.74 % (1358022)Instruction limit reached!
% 2.61/0.74 % (1358022)------------------------------
% 2.61/0.74 % (1358022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.74 % (1358022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.74 % (1358022)CaDiCaL version: 2.1.3
% 2.61/0.74 % (1358022)Termination reason: Instruction limit
% 2.61/0.74 % (1358022)Termination phase: shuffling
% 2.61/0.74 % (1358022)Time elapsed: 0.002 s
% 2.61/0.74 % (1358022)Peak memory usage: 10 MB
% 2.61/0.74 % (1358022)Instructions burned: 8 (million)
% 2.61/0.74 % (1357947)Instruction limit reached!
% 2.61/0.74 % (1357947)------------------------------
% 2.61/0.74 % (1357947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.74 % (1357947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.74 % (1357947)CaDiCaL version: 2.1.3
% 2.61/0.74 % (1357947)Termination reason: Instruction limit
% 2.61/0.74 % (1357947)Termination phase: Saturation
% 2.61/0.74 % (1357947)Time elapsed: 0.151 s
% 2.61/0.74 % (1357947)Peak memory usage: 15 MB
% 2.61/0.74 % (1357947)Instructions burned: 328 (million)
% 2.61/0.74 % (1358029)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1620286026:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.61/0.74 % (1358029)Instruction limit reached!
% 2.61/0.74 % (1358029)------------------------------
% 2.61/0.74 % (1358029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.74 % (1358029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.74 % (1358029)CaDiCaL version: 2.1.3
% 2.61/0.74 % (1358029)Termination reason: Instruction limit
% 2.61/0.74 % (1358029)Termination phase: shuffling
% 2.61/0.74 % (1358029)Time elapsed: 0.006 s
% 2.61/0.74 % (1358029)Peak memory usage: 11 MB
% 2.61/0.74 % (1358029)Instructions burned: 26 (million)
% 2.61/0.74 % (1358032)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2888292233:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.61/0.74 % (1357992)Instruction limit reached!
% 2.61/0.74 % (1357992)------------------------------
% 2.61/0.74 % (1357992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.74 % (1357992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.74 % (1357992)CaDiCaL version: 2.1.3
% 2.61/0.74 % (1357992)Termination reason: Instruction limit
% 2.61/0.74 % (1357992)Termination phase: Saturation
% 2.61/0.74 % (1357992)Time elapsed: 0.081 s
% 2.61/0.74 % (1357992)Peak memory usage: 14 MB
% 2.61/0.74 % (1357992)Instructions burned: 194 (million)
% 2.61/0.74 % (1358038)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=729175493:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.61/0.74 % (1358032)Instruction limit reached!
% 2.61/0.74 % (1358032)------------------------------
% 2.61/0.74 % (1358032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.61/0.74 % (1358032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.87 % (1358032)CaDiCaL version: 2.1.3
% 3.13/0.87 % (1358032)Termination reason: Instruction limit
% 3.13/0.87 % (1358032)Termination phase: shuffling
% 3.13/0.87 % (1358032)Time elapsed: 0.009 s
% 3.13/0.87 % (1358032)Peak memory usage: 10 MB
% 3.13/0.87 % (1358032)Instructions burned: 21 (million)
% 3.13/0.87 % (1358044)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=2247877531: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)
% 3.13/0.87 % (1358012)Instruction limit reached!
% 3.13/0.87 % (1358012)------------------------------
% 3.13/0.87 % (1358012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.87 % (1358012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.87 % (1358012)CaDiCaL version: 2.1.3
% 3.13/0.87 % (1358012)Termination reason: Instruction limit
% 3.13/0.87 % (1358012)Termination phase: Saturation
% 3.13/0.87 % (1358012)Time elapsed: 0.070 s
% 3.13/0.87 % (1358012)Peak memory usage: 13 MB
% 3.13/0.87 % (1358012)Instructions burned: 169 (million)
% 3.13/0.87 % (1358009)Instruction limit reached!
% 3.13/0.87 % (1358009)------------------------------
% 3.13/0.87 % (1358009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.87 % (1358009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.87 % (1358009)CaDiCaL version: 2.1.3
% 3.13/0.87 % (1358009)Termination reason: Instruction limit
% 3.13/0.87 % (1358009)Termination phase: Saturation
% 3.13/0.87 % (1358009)Time elapsed: 0.077 s
% 3.13/0.87 % (1358009)Peak memory usage: 14 MB
% 3.13/0.87 % (1358009)Instructions burned: 182 (million)
% 3.13/0.87 % (1358051)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=1449836159: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)
% 3.13/0.87 % (1358061)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=370892369: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)
% 3.13/0.87 % (1358058)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1465256930:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.13/0.87 % (1358051)Instruction limit reached!
% 3.13/0.87 % (1358051)------------------------------
% 3.13/0.87 % (1358051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.87 % (1358051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.87 % (1358051)CaDiCaL version: 2.1.3
% 3.13/0.87 % (1358051)Termination reason: Instruction limit
% 3.13/0.87 % (1358051)Termination phase: Property scanning
% 3.13/0.87 % (1358051)Time elapsed: 0.020 s
% 3.13/0.87 % (1358051)Peak memory usage: 11 MB
% 3.13/0.87 % (1358051)Instructions burned: 45 (million)
% 3.13/0.87 % (1358061)Instruction limit reached!
% 3.13/0.87 % (1358061)------------------------------
% 3.13/0.87 % (1358061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.87 % (1358061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.87 % (1358061)CaDiCaL version: 2.1.3
% 3.13/0.87 % (1358061)Termination reason: Instruction limit
% 3.13/0.87 % (1358061)Termination phase: shuffling
% 3.13/0.87 % (1358061)Time elapsed: 0.009 s
% 3.13/0.87 % (1358061)Peak memory usage: 10 MB
% 3.13/0.87 % (1358061)Instructions burned: 21 (million)
% 3.13/0.87 % (1358069)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.13/0.87 % (1358069)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3538171174:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.13/0.87 % (1357914)Instruction limit reached!
% 3.13/0.87 % (1357914)------------------------------
% 3.13/0.87 % (1357914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.87 % (1357914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.87 % (1357914)CaDiCaL version: 2.1.3
% 3.13/0.87 % (1357914)Termination reason: Instruction limit
% 3.13/0.87 % (1357914)Termination phase: Saturation
% 5.38/1.14 % (1357914)Time elapsed: 0.334 s
% 5.38/1.14 % (1357914)Peak memory usage: 21 MB
% 5.38/1.14 % (1357914)Instructions burned: 634 (million)
% 5.38/1.14 % (1358073)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1670388850:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 5.38/1.14 % (1358073)Instruction limit reached!
% 5.38/1.14 % (1358073)------------------------------
% 5.38/1.14 % (1358073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.38/1.14 % (1358073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.14 % (1358073)CaDiCaL version: 2.1.3
% 5.38/1.14 % (1358073)Termination reason: Instruction limit
% 5.38/1.14 % (1358073)Termination phase: shuffling
% 5.38/1.14 % (1358073)Time elapsed: 0.006 s
% 5.38/1.14 % (1358073)Peak memory usage: 11 MB
% 5.38/1.14 % (1358073)Instructions burned: 13 (million)
% 5.38/1.14 % (1358038)Instruction limit reached!
% 5.38/1.14 % (1358038)------------------------------
% 5.38/1.14 % (1358038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.38/1.14 % (1358038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.14 % (1358038)CaDiCaL version: 2.1.3
% 5.38/1.14 % (1358038)Termination reason: Instruction limit
% 5.38/1.14 % (1358038)Termination phase: Saturation
% 5.38/1.14 % (1358038)Time elapsed: 0.087 s
% 5.38/1.14 % (1358038)Peak memory usage: 16 MB
% 5.38/1.14 % (1358038)Instructions burned: 319 (million)
% 5.38/1.14 % (1358080)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=3212349774:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 5.38/1.14 % (1358087)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2218338372:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 5.38/1.14 % (1358085)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3395372155:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 5.38/1.14 % (1358087)Instruction limit reached!
% 5.38/1.14 % (1358087)------------------------------
% 5.38/1.14 % (1358087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.38/1.14 % (1358087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.14 % (1358087)CaDiCaL version: 2.1.3
% 5.38/1.14 % (1358087)Termination reason: Instruction limit
% 5.38/1.14 % (1358087)Termination phase: shuffling
% 5.38/1.14 % (1358087)Time elapsed: 0.011 s
% 5.38/1.14 % (1358087)Peak memory usage: 11 MB
% 5.38/1.14 % (1358087)Instructions burned: 32 (million)
% 5.38/1.14 % (1358080)Instruction limit reached!
% 5.38/1.14 % (1358080)------------------------------
% 5.38/1.14 % (1358080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.38/1.14 % (1358080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.14 % (1358080)CaDiCaL version: 2.1.3
% 5.38/1.14 % (1358080)Termination reason: Instruction limit
% 5.38/1.14 % (1358080)Termination phase: SInE selection
% 5.38/1.14 % (1358080)Time elapsed: 0.028 s
% 5.38/1.14 % (1358080)Peak memory usage: 11 MB
% 5.38/1.14 % (1358080)Instructions burned: 66 (million)
% 5.38/1.14 % (1358085)Instruction limit reached!
% 5.38/1.14 % (1358085)------------------------------
% 5.38/1.14 % (1358085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.38/1.14 % (1358085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.14 % (1358085)CaDiCaL version: 2.1.3
% 5.38/1.14 % (1358085)Termination reason: Instruction limit
% 5.38/1.14 % (1358085)Termination phase: Property scanning
% 5.38/1.14 % (1358085)Time elapsed: 0.022 s
% 5.38/1.14 % (1358085)Peak memory usage: 11 MB
% 5.38/1.14 % (1358085)Instructions burned: 51 (million)
% 5.38/1.14 % (1358096)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=210921878:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 5.38/1.14 % (1358100)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=4062711958:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 5.38/1.14 % (1358102)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=583336146:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 5.38/1.14 % (1358069)Instruction limit reached!
% 5.38/1.14 % (1358069)------------------------------
% 6.24/1.23 % (1358069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.23 % (1358069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.23 % (1358069)CaDiCaL version: 2.1.3
% 6.24/1.23 % (1358069)Termination reason: Instruction limit
% 6.24/1.23 % (1358069)Termination phase: Saturation
% 6.24/1.23 % (1358069)Time elapsed: 0.087 s
% 6.24/1.23 % (1358069)Peak memory usage: 14 MB
% 6.24/1.23 % (1358069)Instructions burned: 201 (million)
% 6.24/1.23 % (1358100)Instruction limit reached!
% 6.24/1.23 % (1358100)------------------------------
% 6.24/1.23 % (1358100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.23 % (1358100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.23 % (1358100)CaDiCaL version: 2.1.3
% 6.24/1.23 % (1358100)Termination reason: Instruction limit
% 6.24/1.23 % (1358100)Termination phase: shuffling
% 6.24/1.23 % (1358100)Time elapsed: 0.017 s
% 6.24/1.23 % (1358100)Peak memory usage: 11 MB
% 6.24/1.23 % (1358100)Instructions burned: 35 (million)
% 6.24/1.23 % (1358118)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 6.24/1.23 % (1358118)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2967119917:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 6.24/1.23 % (1358102)Instruction limit reached!
% 6.24/1.23 % (1358102)------------------------------
% 6.24/1.23 % (1358102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.23 % (1358102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.23 % (1358102)CaDiCaL version: 2.1.3
% 6.24/1.23 % (1358102)Termination reason: Instruction limit
% 6.24/1.23 % (1358102)Termination phase: Property scanning
% 6.24/1.23 % (1358102)Time elapsed: 0.030 s
% 6.24/1.23 % (1358102)Peak memory usage: 12 MB
% 6.24/1.23 % (1358102)Instructions burned: 67 (million)
% 6.24/1.23 % (1358123)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2956760969:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 6.24/1.23 % (1358096)Instruction limit reached!
% 6.24/1.23 % (1358096)------------------------------
% 6.24/1.23 % (1358096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.23 % (1358096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.23 % (1358096)CaDiCaL version: 2.1.3
% 6.24/1.23 % (1358096)Termination reason: Instruction limit
% 6.24/1.23 % (1358096)Termination phase: Property scanning
% 6.24/1.23 % (1358096)Time elapsed: 0.061 s
% 6.24/1.23 % (1358096)Peak memory usage: 12 MB
% 6.24/1.23 % (1358096)Instructions burned: 138 (million)
% 6.24/1.23 % (1358125)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2095349104:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 6.24/1.23 % (1358133)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1854192491:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 6.24/1.23 % (1358125)Instruction limit reached!
% 6.24/1.23 % (1358125)------------------------------
% 6.24/1.23 % (1358125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.23 % (1358125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.23 % (1358125)CaDiCaL version: 2.1.3
% 6.24/1.23 % (1358125)Termination reason: Instruction limit
% 6.24/1.23 % (1358125)Termination phase: Function definition elimination
% 6.24/1.23 % (1358125)Time elapsed: 0.053 s
% 6.24/1.23 % (1358125)Peak memory usage: 12 MB
% 6.24/1.23 % (1358125)Instructions burned: 96 (million)
% 6.24/1.23 % (1358118)Instruction limit reached!
% 6.24/1.23 % (1358118)------------------------------
% 6.24/1.23 % (1358118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.23 % (1358118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.23 % (1358118)CaDiCaL version: 2.1.3
% 6.24/1.23 % (1358118)Termination reason: Instruction limit
% 6.24/1.23 % (1358118)Termination phase: Saturation
% 6.24/1.23 % (1358118)Time elapsed: 0.078 s
% 6.24/1.23 % (1358118)Peak memory usage: 13 MB
% 6.24/1.23 % (1358118)Instructions burned: 180 (million)
% 6.24/1.23 % (1358149)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3107346303:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 6.24/1.23 % (1358151)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=576539956:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 6.84/1.33 % (1358123)Instruction limit reached!
% 6.84/1.33 % (1358123)------------------------------
% 6.84/1.33 % (1358123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.33 % (1358123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.33 % (1358123)CaDiCaL version: 2.1.3
% 6.84/1.33 % (1358123)Termination reason: Instruction limit
% 6.84/1.33 % (1358123)Termination phase: Saturation
% 6.84/1.33 % (1358123)Time elapsed: 0.121 s
% 6.84/1.33 % (1358123)Peak memory usage: 15 MB
% 6.84/1.33 % (1358123)Instructions burned: 246 (million)
% 6.84/1.33 % (1358175)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2267353989:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 6.84/1.33 % (1358058)Instruction limit reached!
% 6.84/1.33 % (1358058)------------------------------
% 6.84/1.33 % (1358058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.33 % (1358058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.33 % (1358058)CaDiCaL version: 2.1.3
% 6.84/1.33 % (1358058)Termination reason: Instruction limit
% 6.84/1.33 % (1358058)Termination phase: Saturation
% 6.84/1.33 % (1358058)Time elapsed: 0.289 s
% 6.84/1.33 % (1358058)Peak memory usage: 18 MB
% 6.84/1.33 % (1358058)Instructions burned: 480 (million)
% 6.84/1.33 % (1358181)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3059686014:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 6.84/1.33 % (1358181)Instruction limit reached!
% 6.84/1.33 % (1358181)------------------------------
% 6.84/1.33 % (1358181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.33 % (1358181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.33 % (1358181)CaDiCaL version: 2.1.3
% 6.84/1.33 % (1358181)Termination reason: Instruction limit
% 6.84/1.33 % (1358181)Termination phase: Property scanning
% 6.84/1.33 % (1358181)Time elapsed: 0.018 s
% 6.84/1.33 % (1358181)Peak memory usage: 11 MB
% 6.84/1.33 % (1358181)Instructions burned: 47 (million)
% 6.84/1.33 % (1358184)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=530756965:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 6.84/1.33 % (1358175)Instruction limit reached!
% 6.84/1.33 % (1358175)------------------------------
% 6.84/1.33 % (1358175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.33 % (1358175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.33 % (1358175)CaDiCaL version: 2.1.3
% 6.84/1.33 % (1358175)Termination reason: Instruction limit
% 6.84/1.33 % (1358175)Termination phase: Property scanning
% 6.84/1.33 % (1358175)Time elapsed: 0.099 s
% 6.84/1.33 % (1358175)Peak memory usage: 12 MB
% 6.84/1.33 % (1358175)Instructions burned: 130 (million)
% 6.84/1.33 % (1358195)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3736915995:i=450:rtra=on:ixr=off:ntd=on_2992 on theBenchmark for (2992ds/450Mi)
% 6.84/1.33 % (1358133)Instruction limit reached!
% 6.84/1.33 % (1358133)------------------------------
% 6.84/1.33 % (1358133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.33 % (1358133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.33 % (1358133)CaDiCaL version: 2.1.3
% 6.84/1.33 % (1358133)Termination reason: Instruction limit
% 6.84/1.33 % (1358133)Termination phase: Saturation
% 6.84/1.33 % (1358133)Time elapsed: 0.303 s
% 6.84/1.33 % (1358133)Peak memory usage: 16 MB
% 6.84/1.33 % (1358133)Instructions burned: 428 (million)
% 6.84/1.33 % (1358202)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3799896707:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/95Mi)
% 6.84/1.33 % (1358044)Instruction limit reached!
% 6.84/1.33 % (1358044)------------------------------
% 6.84/1.33 % (1358044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.33 % (1358044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.33 % (1358044)CaDiCaL version: 2.1.3
% 6.84/1.33 % (1358044)Termination reason: Instruction limit
% 6.84/1.33 % (1358044)Termination phase: Saturation
% 6.84/1.33 % (1358044)Time elapsed: 0.533 s
% 6.84/1.33 % (1358044)Peak memory usage: 22 MB
% 6.84/1.33 % (1358044)Instructions burned: 854 (million)
% 7.27/1.46 % (1358204)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3737817326:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2991 on theBenchmark for (2991ds/65Mi)
% 7.27/1.46 % (1358202)Instruction limit reached!
% 7.27/1.46 % (1358202)------------------------------
% 7.27/1.46 % (1358202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/1.46 % (1358202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.46 % (1358202)CaDiCaL version: 2.1.3
% 7.27/1.46 % (1358202)Termination reason: Instruction limit
% 7.27/1.46 % (1358202)Termination phase: Function definition elimination
% 7.27/1.46 % (1358202)Time elapsed: 0.039 s
% 7.27/1.46 % (1358202)Peak memory usage: 12 MB
% 7.27/1.46 % (1358202)Instructions burned: 95 (million)
% 7.27/1.46 % (1358184)Instruction limit reached!
% 7.27/1.46 % (1358184)------------------------------
% 7.27/1.46 % (1358184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/1.46 % (1358184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.46 % (1358184)CaDiCaL version: 2.1.3
% 7.27/1.46 % (1358184)Termination reason: Instruction limit
% 7.27/1.46 % (1358184)Termination phase: Saturation
% 7.27/1.46 % (1358184)Time elapsed: 0.192 s
% 7.27/1.46 % (1358184)Peak memory usage: 19 MB
% 7.27/1.46 % (1358184)Instructions burned: 572 (million)
% 7.27/1.46 % (1358209)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=1664034958:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2991 on theBenchmark for (2991ds/5755Mi)
% 7.27/1.46 % (1358207)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3021913832:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2991 on theBenchmark for (2991ds/105Mi)
% 7.27/1.46 % (1358204)Instruction limit reached!
% 7.27/1.46 % (1358204)------------------------------
% 7.27/1.46 % (1358204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/1.46 % (1358204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.46 % (1358204)CaDiCaL version: 2.1.3
% 7.27/1.46 % (1358204)Termination reason: Instruction limit
% 7.27/1.46 % (1358204)Termination phase: Property scanning
% 7.27/1.46 % (1358204)Time elapsed: 0.028 s
% 7.27/1.46 % (1358204)Peak memory usage: 11 MB
% 7.27/1.46 % (1358204)Instructions burned: 66 (million)
% 7.27/1.46 % (1357986)Instruction limit reached!
% 7.27/1.46 % (1357986)------------------------------
% 7.27/1.46 % (1357986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/1.46 % (1357986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.46 % (1357986)CaDiCaL version: 2.1.3
% 7.27/1.46 % (1357986)Termination reason: Instruction limit
% 7.27/1.46 % (1357986)Termination phase: Saturation
% 7.27/1.46 % (1357986)Time elapsed: 0.702 s
% 7.27/1.46 % (1357986)Peak memory usage: 20 MB
% 7.27/1.46 % (1357986)Instructions burned: 1241 (million)
% 7.27/1.46 % (1358151)Instruction limit reached!
% 7.27/1.46 % (1358151)------------------------------
% 7.27/1.46 % (1358151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/1.46 % (1358151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.46 % (1358151)CaDiCaL version: 2.1.3
% 7.27/1.46 % (1358151)Termination reason: Instruction limit
% 7.27/1.46 % (1358151)Termination phase: Saturation
% 7.27/1.46 % (1358151)Time elapsed: 0.337 s
% 7.27/1.46 % (1358151)Peak memory usage: 16 MB
% 7.27/1.46 % (1358151)Instructions burned: 517 (million)
% 7.27/1.46 % (1358215)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=180862599:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/375Mi)
% 7.27/1.46 % (1358220)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1968272841:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/495Mi)
% 7.27/1.46 % (1358223)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=4121886178:cond=on:i=34:hud=10:nm=10:rtra=on_2990 on theBenchmark for (2990ds/34Mi)
% 7.27/1.46 % (1358207)Instruction limit reached!
% 7.95/1.57 % (1358207)------------------------------
% 7.95/1.57 % (1358207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (1358207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (1358207)CaDiCaL version: 2.1.3
% 7.95/1.57 % (1358207)Termination reason: Instruction limit
% 7.95/1.57 % (1358207)Termination phase: Property scanning
% 7.95/1.57 % (1358207)Time elapsed: 0.044 s
% 7.95/1.57 % (1358207)Peak memory usage: 12 MB
% 7.95/1.57 % (1358207)Instructions burned: 106 (million)
% 7.95/1.57 % (1358223)Instruction limit reached!
% 7.95/1.57 % (1358223)------------------------------
% 7.95/1.57 % (1358223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (1358223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (1358223)CaDiCaL version: 2.1.3
% 7.95/1.57 % (1358223)Termination reason: Instruction limit
% 7.95/1.57 % (1358223)Termination phase: shuffling
% 7.95/1.57 % (1358223)Time elapsed: 0.016 s
% 7.95/1.57 % (1358223)Peak memory usage: 11 MB
% 7.95/1.57 % (1358223)Instructions burned: 36 (million)
% 7.95/1.57 % (1358234)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1316592124:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/91Mi)
% 7.95/1.57 % (1358239)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=520329927:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2990 on theBenchmark for (2990ds/66Mi)
% 7.95/1.57 % (1358195)Instruction limit reached!
% 7.95/1.57 % (1358195)------------------------------
% 7.95/1.57 % (1358195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (1358195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (1358195)CaDiCaL version: 2.1.3
% 7.95/1.57 % (1358195)Termination reason: Instruction limit
% 7.95/1.57 % (1358195)Termination phase: Saturation
% 7.95/1.57 % (1358195)Time elapsed: 0.218 s
% 7.95/1.57 % (1358195)Peak memory usage: 21 MB
% 7.95/1.57 % (1358195)Instructions burned: 451 (million)
% 7.95/1.57 % (1358234)Instruction limit reached!
% 7.95/1.57 % (1358234)------------------------------
% 7.95/1.57 % (1358234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (1358234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (1358234)CaDiCaL version: 2.1.3
% 7.95/1.57 % (1358234)Termination reason: Instruction limit
% 7.95/1.57 % (1358234)Termination phase: Property scanning
% 7.95/1.57 % (1358234)Time elapsed: 0.039 s
% 7.95/1.57 % (1358234)Peak memory usage: 12 MB
% 7.95/1.57 % (1358234)Instructions burned: 94 (million)
% 7.95/1.57 % (1358239)Instruction limit reached!
% 7.95/1.57 % (1358239)------------------------------
% 7.95/1.57 % (1358239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (1358239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (1358239)CaDiCaL version: 2.1.3
% 7.95/1.57 % (1358239)Termination reason: Instruction limit
% 7.95/1.57 % (1358239)Termination phase: Preprocessing 3
% 7.95/1.57 % (1358239)Time elapsed: 0.031 s
% 7.95/1.57 % (1358239)Peak memory usage: 12 MB
% 7.95/1.57 % (1358239)Instructions burned: 67 (million)
% 7.95/1.57 % (1358257)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1392663059:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2989 on theBenchmark for (2989ds/22Mi)
% 7.95/1.57 % (1358260)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=3959064676:i=338:bd=all:ins=4:rtra=on_2989 on theBenchmark for (2989ds/338Mi)
% 7.95/1.57 % (1358257)Instruction limit reached!
% 7.95/1.57 % (1358257)------------------------------
% 7.95/1.57 % (1358257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (1358257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (1358257)CaDiCaL version: 2.1.3
% 7.95/1.57 % (1358257)Termination reason: Instruction limit
% 7.95/1.57 % (1358257)Termination phase: shuffling
% 7.95/1.57 % (1358257)Time elapsed: 0.010 s
% 7.95/1.57 % (1358257)Peak memory usage: 11 MB
% 7.95/1.57 % (1358257)Instructions burned: 23 (million)
% 7.95/1.57 % (1358261)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1776193077:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/28Mi)
% 7.95/1.57 % (1358261)Instruction limit reached!
% 7.95/1.57 % (1358261)------------------------------
% 7.95/1.57 % (1358261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (1358261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (1358261)CaDiCaL version: 2.1.3
% 7.95/1.57 % (1358261)Termination reason: Instruction limit
% 7.95/1.57 % (1358261)Termination phase: shuffling
% 7.95/1.57 % (1358261)Time elapsed: 0.013 s
% 7.95/1.57 % (1358261)Peak memory usage: 11 MB
% 7.95/1.57 % (1358261)Instructions burned: 29 (million)
% 7.95/1.57 % (1358264)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.95/1.57 % (1358264)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3205529202:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/137Mi)
% 7.95/1.57 % (1358266)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=3765725129:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/340Mi)
% 7.95/1.57 % (1358215)Instruction limit reached!
% 7.95/1.57 % (1358215)------------------------------
% 7.95/1.57 % (1358215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (1358215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (1358215)CaDiCaL version: 2.1.3
% 7.95/1.57 % (1358215)Termination reason: Instruction limit
% 7.95/1.57 % (1358215)Termination phase: Saturation
% 7.95/1.57 % (1358215)Time elapsed: 0.170 s
% 7.95/1.57 % (1358215)Peak memory usage: 15 MB
% 7.95/1.57 % (1358215)Instructions burned: 377 (million)
% 7.95/1.57 % (1358264)Instruction limit reached!
% 7.95/1.57 % (1358264)------------------------------
% 7.95/1.57 % (1358264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (1358264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (1358264)CaDiCaL version: 2.1.3
% 7.95/1.57 % (1358264)Termination reason: Instruction limit
% 7.95/1.57 % (1358264)Termination phase: Property scanning
% 7.95/1.57 % (1358264)Time elapsed: 0.055 s
% 7.95/1.57 % (1358264)Peak memory usage: 12 MB
% 7.95/1.58 % (1358264)Instructions burned: 137 (million)
% 7.95/1.58 % (1358149)Instruction limit reached!
% 7.95/1.58 % (1358149)------------------------------
% 7.95/1.58 % (1358149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.58 % (1358149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.58 % (1358149)CaDiCaL version: 2.1.3
% 7.95/1.58 % (1358149)Termination reason: Instruction limit
% 7.95/1.58 % (1358149)Termination phase: Saturation
% 7.95/1.58 % (1358149)Time elapsed: 0.522 s
% 7.95/1.58 % (1358149)Peak memory usage: 17 MB
% 7.95/1.58 % (1358149)Instructions burned: 876 (million)
% 7.95/1.58 % (1358269)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=95019925:i=227:sd=1:bd=all:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/227Mi)
% 7.95/1.58 % (1358270)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.95/1.58 % (1358271)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1469187950:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 7.95/1.58 % (1358270)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1260513039:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/373Mi)
% 7.95/1.58 % (1358260)Instruction limit reached!
% 7.95/1.58 % (1358260)------------------------------
% 7.95/1.58 % (1358260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.58 % (1358260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.58 % (1358260)CaDiCaL version: 2.1.3
% 7.95/1.58 % (1358260)Termination reason: Instruction limit
% 7.95/1.58 % (1358260)Termination phase: Saturation
% 7.95/1.58 % (1358260)Time elapsed: 0.141 s
% 7.95/1.58 % (1358260)Peak memory usage: 18 MB
% 7.95/1.58 % (1358260)Instructions burned: 338 (million)
% 7.95/1.58 % (1358271)Instruction limit reached!
% 7.95/1.58 % (1358271)------------------------------
% 7.95/1.58 % (1358271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.58 % (1358271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.58 % (1358271)CaDiCaL version: 2.1.3
% 7.95/1.58 % (1358271)Termination reason: Instruction limit
% 7.95/1.58 % (1358271)Termination phase: Property scanning
% 7.95/1.58 % (1358271)Time elapsed: 0.052 s
% 7.95/1.58 % (1358271)Peak memory usage: 13 MB
% 7.95/1.58 % (1358271)Instructions burned: 116 (million)
% 7.95/1.58 % (1358220)Instruction limit reached!
% 7.95/1.58 % (1358220)------------------------------
% 7.95/1.58 % (1358220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.58 % (1358220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.58 % (1358220)CaDiCaL version: 2.1.3
% 7.95/1.58 % (1358220)Termination reason: Instruction limit
% 7.95/1.58 % (1358220)Termination phase: Saturation
% 7.95/1.58 % (1358220)Time elapsed: 0.245 s
% 7.95/1.58 % (1358220)Peak memory usage: 18 MB
% 7.95/1.58 % (1358220)Instructions burned: 496 (million)
% 7.95/1.58 % (1358275)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=876862673:i=575:rtra=on_2988 on theBenchmark for (2988ds/575Mi)
% 7.95/1.58 % (1358276)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2367506163:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2988 on theBenchmark for (2988ds/270Mi)
% 7.95/1.58 % (1358277)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=423250492:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2988 on theBenchmark for (2988ds/9840Mi)
% 7.95/1.58 % (1358266)Instruction limit reached!
% 7.95/1.58 % (1358266)------------------------------
% 7.95/1.58 % (1358266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.58 % (1358266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.58 % (1358266)CaDiCaL version: 2.1.3
% 7.95/1.58 % (1358266)Termination reason: Instruction limit
% 7.95/1.58 % (1358266)Termination phase: Saturation
% 7.95/1.58 % (1358266)Time elapsed: 0.145 s
% 7.95/1.58 % (1358266)Peak memory usage: 14 MB
% 7.95/1.58 % (1358266)Instructions burned: 341 (million)
% 7.95/1.58 % (1358269)Instruction limit reached!
% 7.95/1.58 % (1358269)------------------------------
% 7.95/1.58 % (1358269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.58 % (1358269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.58 % (1358269)CaDiCaL version: 2.1.3
% 7.95/1.58 % (1358269)Termination reason: Instruction limit
% 7.95/1.58 % (1358269)Termination phase: Saturation
% 7.95/1.58 % (1358269)Time elapsed: 0.097 s
% 7.95/1.58 % (1358269)Peak memory usage: 15 MB
% 7.95/1.58 % (1358269)Instructions burned: 227 (million)
% 7.95/1.58 % (1358281)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=50390612:i=421:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/421Mi)
% 7.95/1.58 % (1358282)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 7.95/1.58 % (1358282)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3234223686:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/270Mi)
% 7.95/1.58 % (1358209) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1357906-1358209"...
% 7.95/1.58 % (1358209)...printing done.
% 7.95/1.58 % (1358270)Instruction limit reached!
% 7.95/1.58 % (1358270)------------------------------
% 7.95/1.58 % (1358270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.58 % (1358270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.58 % (1358270)CaDiCaL version: 2.1.3
% 7.95/1.58 % (1358270)Termination reason: Instruction limit
% 7.95/1.58 % (1358270)Termination phase: Saturation
% 7.95/1.58 % (1358270)Time elapsed: 0.164 s
% 7.95/1.58 % (1358270)Peak memory usage: 14 MB
% 7.95/1.58 % (1358270)Instructions burned: 375 (million)
% 7.95/1.58 % (1358209)Refutation found. Thanks to Tanya!
% 7.95/1.58 % SZS status Theorem for theBenchmark
% 7.95/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 7.95/1.58 % (1358209)------------------------------
% 7.95/1.58 % (1358209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.58 % (1358209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.58 % (1358209)CaDiCaL version: 2.1.3
% 7.95/1.58 % (1358209)Termination reason: Refutation
% 7.95/1.58 % (1358209)Time elapsed: 0.385 s
% 7.95/1.58 % (1358209)Peak memory usage: 27 MB
% 7.95/1.58 % (1358209)Instructions burned: 1364 (million)
% 7.95/1.58 % (1357906)Success in time 1.302 s
% 7.95/1.58 % Vampire exiting
%------------------------------------------------------------------------------