%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU735^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 1.74s 0.47s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 4141 (1104 equ; 0 cnn)
% Maximal formula atoms : 254 ( 115 avg)
% Number of connectives : 2263 ( 52 ~; 38 |; 774 &; 374 @)
% ( 4 <=>;1021 =>; 0 <=; 0 <~>)
% Maximal formula depth : 263 ( 54 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 483 ( 480 usr; 283 con; 0-4 aty)
% Number of variables : 68 ( 0 ^; 52 !; 16 ?; 68 :)
% 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,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_291,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_294,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_295,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_296,type,
vOR: $o > $o > $o ).
thf(func_def_297,type,
vAND: $o > $o > $o ).
thf(func_def_298,type,
vNOT: $o > $o ).
thf(func_def_299,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_300,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_301,type,
vIMP: $o > $o > $o ).
thf(func_def_302,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_303,type,
sP0: $i > $i > $o ).
thf(func_def_304,type,
sP1: $i > $o ).
thf(func_def_305,type,
sP2: $i > $i > $o ).
thf(func_def_306,type,
sP3: $i > $i > $o ).
thf(func_def_307,type,
sP4: $o ).
thf(func_def_308,type,
sP5: $o ).
thf(func_def_309,type,
sP6: $o ).
thf(func_def_310,type,
sP7: $i > $i > $i > $i > $o ).
thf(func_def_311,type,
sP8: $o ).
thf(func_def_312,type,
sP9: $i > $o > $i > $i > $o ).
thf(func_def_313,type,
sP10: $i > $i > $i > $o ).
thf(func_def_314,type,
sP11: $o ).
thf(func_def_315,type,
sK12: $i > $i > $i ).
thf(func_def_316,type,
sK13: $i > $i > $i ).
thf(func_def_317,type,
sK14: $i > $i > $i ).
thf(func_def_318,type,
sK15: $i > $i > $i ).
thf(func_def_319,type,
sK16: $i > $i > $i > $i ).
thf(func_def_320,type,
sK17: $i > $i ).
thf(func_def_321,type,
sK18: $i > $i ).
thf(func_def_322,type,
sK19: $i > $i ).
thf(func_def_323,type,
sK20: $i > $i ).
thf(func_def_324,type,
sK21: $i > $i > $i > $i ).
thf(func_def_325,type,
sK22: $i > $i > $i > $i ).
thf(func_def_326,type,
sK23: $i > $i > $i ).
thf(func_def_327,type,
sK24: $i > $i > $i ).
thf(func_def_328,type,
sK25: $i > $i > $i ).
thf(func_def_330,type,
sK27: $i > $i ).
thf(func_def_331,type,
sK28: $i > $i ).
thf(func_def_332,type,
sK29: $i > $i ).
thf(func_def_333,type,
sK30: $i > $i > $i ).
thf(func_def_334,type,
sK31: $i > $o ).
thf(func_def_336,type,
sK33: $i > $o ).
thf(func_def_339,type,
sK36: $i > ( $i > $o ) > $i ).
thf(func_def_340,type,
sK37: $i > ( $i > $o ) > $i ).
thf(func_def_364,type,
sK61: $o ).
thf(func_def_386,type,
sK83: $i > $i > $i ).
thf(func_def_395,type,
sK92: $i > $o ).
thf(func_def_397,type,
sK94: ( $i > $o ) > $i > $i ).
thf(func_def_398,type,
sK95: ( $i > $o ) > $i > $i ).
thf(func_def_407,type,
sK104: $i > $o ).
thf(func_def_408,type,
sK105: $i > $i ).
thf(func_def_409,type,
sK106: ( $i > $o ) > $i ).
thf(func_def_410,type,
sK107: $i > $o ).
thf(func_def_440,type,
sK137: $i > $o ).
thf(func_def_442,type,
sK139: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_443,type,
sK140: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_444,type,
sK141: $o ).
thf(func_def_446,type,
sK143: $i > $o ).
thf(func_def_449,type,
sK146: $i > ( $i > $o ) > $i ).
thf(func_def_455,type,
sK152: $i > $o ).
thf(func_def_457,type,
sK154: ( $i > $o ) > $i > $i ).
thf(func_def_458,type,
sK155: $o ).
thf(func_def_468,type,
sK165: $i > $i > $i > $i > $i ).
thf(func_def_469,type,
sK166: $i > $i ).
thf(func_def_471,type,
sK168: ( $i > $o ) > $i > $i ).
thf(func_def_473,type,
sK170: $i > $o ).
thf(func_def_479,type,
sK176: $i > $o ).
thf(func_def_482,type,
sK179: $i > ( $i > $o ) > $i ).
thf(func_def_485,type,
sK182: $i > $i > $i > $i ).
thf(func_def_495,type,
sK192: $i > $i > $i > $i > $i ).
thf(func_def_496,type,
sK193: $i > $i > $i > $i > $i ).
thf(func_def_505,type,
sK202: $i > $i > $i > $i > $i ).
thf(func_def_506,type,
sK203: $i > $i > $i > $i > $i ).
thf(func_def_507,type,
sK204: $i > $i > $i > $i > $i ).
thf(func_def_508,type,
sK205: $i > $i > $i > $i > $i ).
thf(func_def_526,type,
sK223: $i > $i > $i ).
thf(func_def_527,type,
sK224: $i > $i > $i ).
thf(func_def_530,type,
sK227: $i > $i > $i ).
thf(func_def_534,type,
sK231: $i > $i > $o ).
thf(func_def_539,type,
sK236: $i > $o ).
thf(func_def_551,type,
sK248: $i > $i > $i ).
thf(func_def_570,type,
sK267: $o ).
thf(func_def_579,type,
sK276: $i > $i > $i ).
thf(func_def_582,type,
sK279: $i > $i > $i > $i ).
thf(func_def_583,type,
sK280: $i > $i > $i > $i ).
thf(func_def_587,type,
sK284: $i > ( $i > $i ) > $i > $i ).
thf(func_def_589,type,
sK286: $i > $i ).
thf(func_def_602,type,
sK299: $i > $i > $o ).
thf(func_def_606,type,
sK303: $o ).
thf(func_def_611,type,
sK308: $i > $i ).
thf(func_def_615,type,
sK312: $i > $i ).
thf(func_def_617,type,
sK314: $i > $i > $o ).
thf(func_def_618,type,
sK315: $i > $i ).
thf(func_def_619,type,
sK316: $i > $i ).
thf(func_def_620,type,
sK317: ( $i > $i > $o ) > $i > $i ).
thf(func_def_621,type,
sK318: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_622,type,
sK319: ( $i > $i > $o ) > $i > $i ).
thf(func_def_637,type,
sK334: $o ).
thf(func_def_641,type,
sK338: $i > $o ).
thf(func_def_645,type,
sK342: $i > $i ).
thf(func_def_660,type,
sK357: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_661,type,
sK358: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_664,type,
sK361: $i > $o ).
thf(func_def_665,type,
sK362: $i > $o ).
thf(func_def_672,type,
sK369: $i > $o ).
thf(func_def_682,type,
sK379: $o ).
thf(func_def_700,type,
sK397: $i > $o ).
thf(func_def_701,type,
sK398: $i > $o ).
thf(func_def_702,type,
sK399: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_703,type,
sK400: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_705,type,
sK402: $i > $i ).
thf(func_def_707,type,
sK404: $i > ( $i > $i ) > $i > $i ).
thf(func_def_708,type,
sK405: $i > $o ).
thf(func_def_710,type,
sK407: $i > ( $i > $o ) > $i ).
thf(func_def_713,type,
sK410: $o ).
thf(func_def_718,type,
sK415: $i > $o ).
thf(func_def_731,type,
sK428: $i > $i > $o ).
thf(func_def_737,type,
sK434: $o ).
thf(func_def_741,type,
sK438: $i > $i > $o ).
thf(func_def_745,type,
sK442: $i > $i > $i > $i > $i ).
thf(func_def_751,type,
sK448: $i > $i ).
thf(func_def_754,type,
sK451: $i > ( $i > $i ) > $i > $i ).
thf(func_def_765,type,
sK462: $o > $i > $i > $i ).
thf(func_def_768,type,
sK465: $o ).
thf(func_def_771,type,
sK468: $o ).
thf(func_def_776,type,
sK473: $i > $i > $i ).
thf(func_def_784,type,
sK481: $i > $i ).
thf(func_def_786,type,
sK483: $i > ( $i > $i ) > $i > $i ).
thf(func_def_797,type,
sK494: $i > $i > ( $i > $i ) > $i ).
thf(func_def_798,type,
sK495: $i > $i ).
thf(func_def_803,type,
sK500: $i > $o ).
thf(func_def_817,type,
sK514: $i > $o ).
thf(func_def_818,type,
sK515: ( $i > $o ) > $i > $i > $i ).
thf(func_def_819,type,
sK516: $i > $o ).
thf(func_def_820,type,
sK517: ( $i > $o ) > $i ).
thf(func_def_827,type,
sK524: $i > $o ).
thf(func_def_830,type,
sK527: $i > ( $i > $o ) > $i ).
thf(func_def_834,type,
sK531: $i > $i > $i ).
thf(func_def_844,type,
sK541: $i > $i > $i > $i ).
thf(func_def_845,type,
sK542: $i > $i > $i > $i ).
thf(func_def_848,type,
sK545: $o ).
thf(func_def_852,type,
sK549: $i > $i ).
thf(func_def_863,type,
sK560: ( $i > $o ) > $i > $i ).
thf(func_def_865,type,
sK562: $i > $o ).
thf(func_def_868,type,
sK565: $o ).
thf(func_def_871,type,
sK568: $i > $i > ( $i > $i ) > $i ).
thf(func_def_872,type,
sK569: $i > $i ).
thf(func_def_885,type,
sK582: $i > $o ).
thf(func_def_887,type,
sK584: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_888,type,
sK585: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_913,type,
sK610: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_914,type,
sK611: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_915,type,
sK612: $i > $o ).
thf(func_def_916,type,
sK613: $i > $o ).
thf(func_def_918,type,
sK615: $i > $o ).
thf(func_def_929,type,
sK626: $o ).
thf(func_def_936,type,
sK633: ( $i > $o ) > $i ).
thf(func_def_937,type,
sK634: $i > $o ).
thf(func_def_938,type,
sK635: $i > $i ).
thf(func_def_951,type,
sK648: $i > $i ).
thf(func_def_954,type,
sK651: $i > $i ).
thf(func_def_977,type,
sK674: $i > $i > $o ).
thf(func_def_983,type,
sK680: $o ).
thf(func_def_986,type,
sK683: $o ).
thf(func_def_990,type,
sK687: $i > $o ).
thf(func_def_997,type,
sK694: $i > $i > $o ).
thf(func_def_1002,type,
sK699: $i > $o ).
thf(func_def_1014,type,
sK711: $i > ( $i > $o ) > $i ).
thf(func_def_1015,type,
sK712: $i > $o ).
thf(func_def_1018,type,
sK715: $i > $i > $i ).
thf(func_def_1024,type,
sK721: $i > ( $i > $o ) > $i ).
thf(func_def_1025,type,
sK722: $i > $o ).
thf(func_def_1037,type,
sK734: $i > $o ).
thf(func_def_1045,type,
sK742: $i > $i > $i > $i ).
thf(func_def_1052,type,
sK749: $i > $i > $i ).
thf(func_def_1061,type,
sK758: $i > $i > $i > $i > $i ).
thf(func_def_1068,type,
sK765: $i > $o ).
thf(func_def_1070,type,
sK767: ( $i > $o ) > $i ).
thf(func_def_1071,type,
sK768: ( $i > $o ) > $i ).
thf(func_def_1076,type,
sK773: $i > $i > $o ).
thf(func_def_1079,type,
sK776: $i > $o ).
thf(func_def_1091,type,
sK788: $o ).
thf(func_def_1095,type,
sK792: $i > $o ).
thf(f95,axiom,
( powersetI1
= ( ! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
=> ( in @ X1 @ ( powerset @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetI1) ).
thf(f255,axiom,
( complementSubsetComplementIntersect
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complementSubsetComplementIntersect) ).
thf(f256,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
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complementInPowersetComplementIntersect) ).
thf(f257,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
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X0 @ X1 ) @ ( powerset @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f256]) ).
thf(f406,plain,
( powersetI1
= ( ! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
=> ( in @ X1 @ ( powerset @ X0 ) ) ) ) ),
inference(rectify,[],[f95]) ).
thf(f407,plain,
( ( powersetI1 = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
=> ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) ) ),
inference(fool_elimination,[],[f406]) ).
thf(f632,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
=> ! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ ( setminus @ X1 @ ( binintersect @ X0 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f257]) ).
thf(f633,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 )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ! [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
=> ( $true
= ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ ( setminus @ X1 @ ( binintersect @ X0 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f632]) ).
thf(f705,plain,
( complementSubsetComplementIntersect
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) ) ) ) ) ),
inference(rectify,[],[f255]) ).
thf(f706,plain,
( ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true ) ) )
<=> ( complementSubsetComplementIntersect = $true ) ),
inference(fool_elimination,[],[f705]) ).
thf(f834,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
<=> ( powersetI1 = $true ) ),
inference(ennf_transformation,[],[f407]) ).
thf(f837,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
& ( $true
!= ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ ( setminus @ X1 @ ( binintersect @ X0 @ X2 ) ) ) ) ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $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,[],[f633]) ).
thf(f838,plain,
( ( upairequniteq = $true )
& ( subbreln = $true )
& ( replAx = $true )
& ( funcGraphProp3 = $true )
& ( binintersectTELcontra = $true )
& ( setextT = $true )
& ( setunionE2 = $true )
& ( binunionLsub = $true )
& ( cartprodpairmemEL = $true )
& ( dpsetconstrEL1 = $true )
& ( prop2setI = $true )
& ( brelnall1 = $true )
& ( exuI3 = $true )
& ( binunionT_lem = $true )
& ( setminusILneg = $true )
& ( setunionsingleton1 = $true )
& ( setukpairinjR11 = $true )
& ( emptyset__Cong = $true )
& ( setminusER = $true )
& ( cartprodsndin = $true )
& ( emptysetimpfalse = $true )
& ( doubleComplementEq = $true )
& ( emptyI = $true )
& ( cartprodfstin = $true )
& ( setextsub = $true )
& ( doubleComplementSub2 = $true )
& ( symdiffIneg2 = $true )
& ( eqbreln = $true )
& ( bs114d = $true )
& ( ex1I2 = $true )
& ( funcImageSingleton = $true )
& ( iffalse = $true )
& ( descrp = $true )
& ( nonemptyI1 = $true )
& ( notequalI2 = $true )
& ( singletonsuniq = $true )
& ( notdallE = $true )
& ( emptyInPowerset = $true )
& ( funcextLem = $true )
& ( complementImpComplementIntersect = $true )
& ( setukpairinjR12 = $true )
& ( complementTE1 = $true )
& ( nonemptyI = $true )
& ( quantDeMorgan2 = $true )
& ( emptyinunitempty = $true )
& ( powersetE1 = $true )
& ( setukpairIR = $true )
& ( binintersectEL = $true )
& ( vacuousDall = $true )
& ( symdiffIneg1 = $true )
& ( setadjoin__Cong = $true )
& ( binintersectLsub = $true )
& ( descr__Cong = $true )
& ( iftrueProp1 = $true )
& ( nonemptyImpWitness = $true )
& ( setunionsingleton = $true )
& ( setukpairinjL1 = $true )
& ( in__Cong = $true )
& ( setukpairinjR = $true )
& ( binintersectER = $true )
& ( powersetAx = $true )
& ( subsetTrans = $true )
& ( notinsingleton = $true )
& ( setminusI = $true )
& ( lam2lamEq = $true )
& ( omegaSAx = $true )
& ( setadjoinE = $true )
& ( setukpairinjR2 = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset2 = $true )
& ( complementTnotintersectT = $true )
& ( uniqinunit = $true )
& ( dsetconstrER = $true )
& ( complementSubsetComplementIntersect = $true )
& ( binintersectSubset3 = $true )
& ( powersetE = $true )
& ( upairsubunion = $true )
& ( ex1E1 = $true )
& ( subset2powerset = $true )
& ( notinemptyset = $true )
& ( setadjoinOr = $true )
& ( emptysetsubset = $true )
& ( dsetconstr__Cong = $true )
& ( funcext2 = $true )
& ( setunionAx = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( subsetTI = $true )
& ( dpsetconstrSub = $true )
& ( setextAx = $true )
& ( binintersectT_lem = $true )
& ( ap2p = $true )
& ( setadjoinIR = $true )
& ( singletoninpowerset = $true )
& ( brelnall2 = $true )
& ( iftrue = $true )
& ( singletonsswitch = $true )
& ( powersetI1 = $true )
& ( setadjoinAx = $true )
& ( subsetI2 = $true )
& ( ap2apEq1 = $true )
& ( setminusERneg = $true )
& ( binunionIL = $true )
& ( noeltsimpempty = $true )
& ( lam2p = $true )
& ( setOfPairsIsBReln = $true )
& ( upairinpowunion = $true )
& ( binintersectI = $true )
& ( infuncsetfunc = $true )
& ( emptyinPowerset = $true )
& ( subsetRefl = $true )
& ( doubleComplementSub1 = $true )
& ( setoftrueEq = $true )
& ( emptysetE = $true )
& ( upairsetIR = $true )
& ( binunionE = $true )
& ( setunionsingleton2 = $true )
& ( subsetE2 = $true )
& ( setext = $true )
& ( binunionRsub = $true )
& ( theprop = $true )
& ( setunionI = $true )
& ( setbeta = $true )
& ( upairset2IR = $true )
& ( binunionIR = $true )
& ( iftrueorfalse = $true )
& ( inPowerset = $true )
& ( theeq = $true )
& ( dpsetconstrERa = $true )
& ( kpairiskpair = $true )
& ( dsetconstrI = $true )
& ( setukpairinjL2 = $true )
& ( secondinupair = $true )
& ( omegaIndAx = $true )
& ( eta2 = $true )
& ( cartprodpairsurjEq = $true )
& ( quantDeMorgan4 = $true )
& ( exuE2 = $true )
& ( dpsetconstrI = $true )
& ( exuE3e = $true )
& ( exuEu = $true )
& ( setminusLsub = $true )
& ( subsetemptysetimpeq = $true )
& ( sepInPowerset = $true )
& ( setminusEL = $true )
& ( upairsetIL = $true )
& ( inCongP = $true )
& ( dpsetconstrEL2 = $true )
& ( disjointsetsI1 = $true )
& ( funcGraphProp2 = $true )
& ( setminusT_lem = $true )
& ( foundationAx = $true )
& ( ubforcartprodlem3 = $true )
& ( beta2 = $true )
& ( powersetI = $true )
& ( powersetTE1 = $true )
& ( subsetE = $true )
& ( cartprodpairin = $true )
& ( binintersectSubset4 = $true )
& ( binintersectTERcontra = $true )
& ( setadjoinSub = $true )
& ( emptyE1 = $true )
& ( binunionEcases = $true )
& ( subsetI1 = $true )
& ( singletonsubset = $true )
& ( exuE1 = $true )
& ( prop2setE = $true )
& ( binintersectSubset5 = $true )
& ( ksndsingleton = $true )
& ( apProp = $true )
& ( binintersectSubset1 = $true )
& ( cartprodpairmemER = $true )
& ( cartprodsndpairEq = $true )
& ( complementT_lem = $true )
& ( dpsetconstrER = $true )
& ( quantDeMorgan1 = $true )
& ( funcGraphProp1 = $true )
& ( symdiffI1 = $true )
& ( exu__Cong = $true )
& ( binintersectRsub = $true )
& ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
& ( $true
!= ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ ( setminus @ X1 @ ( binintersect @ X0 @ X2 ) ) ) ) ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
& ( funcGraphProp4 = $true )
& ( setminusIRneg = $true )
& ( exuI2 = $true )
& ( upairset2E = $true )
& ( notequalI1 = $true )
& ( subPowSU = $true )
& ( setadjoinSub2 = $true )
& ( doubleComplementI1 = $true )
& ( lamp = $true )
& ( contrasubsetT2 = $true )
& ( ap2apEq2 = $true )
& ( eqimpsubset2 = $true )
& ( kpairsurjEq = $true )
& ( powersetTI1 = $true )
& ( cartprodmempair1 = $true )
& ( symdiffE = $true )
& ( ubforcartprodlem2 = $true )
& ( ifp = $true )
& ( kpairp = $true )
& ( notsubsetI = $true )
& ( powersetsubset = $true )
& ( ifSingleton = $true )
& ( funcinfuncset = $true )
& ( omega0Ax = $true )
& ( eqinunit = $true )
& ( setminusELneg = $true )
& ( contrasubsetT3 = $true )
& ( kfstpairEq = $true )
& ( iftrueProp2 = $true )
& ( iffalseProp1 = $true )
& ( powerset__Cong = $true )
& ( upairsetE = $true )
& ( nonemptyE1 = $true )
& ( ubforcartprodlem1 = $true )
& ( setunionE = $true )
& ( app = $true )
& ( exuI1 = $true )
& ( ex1I = $true )
& ( exuE3u = $true )
& ( setunion__Cong = $true )
& ( cartprodmempair = $true )
& ( funcext = $true )
& ( quantDeMorgan3 = $true )
& ( iffalseProp2 = $true )
& ( singletoninpowunion = $true )
& ( lamProp = $true )
& ( dsetconstrEL = $true )
& ( kfstsingleton = $true )
& ( ex1E2 = $true )
& ( setminusSubset2 = $true )
& ( beta1 = $true )
& ( eqimpsubset1 = $true )
& ( complementTI1 = $true )
& ( eta1 = $true )
& ( setadjoinIL = $true )
& ( singletonprop = $true )
& ( setukpairinjR1 = $true )
& ( powersetT_lem = $true )
& ( notdexE = $true )
& ( contrasubsetT = $true )
& ( prop2set2propI = $true )
& ( symdiffI2 = $true )
& ( contrasubsetT1 = $true )
& ( ksndpairEq = $true )
& ( doubleComplementE1 = $true )
& ( emptysetAx = $true )
& ( sepSubset = $true )
& ( omega__Cong = $true )
& ( setukpairinjL = $true )
& ( wellorderingAx = $true )
& ( setukpairIL = $true ) ),
inference(flattening,[],[f837]) ).
thf(f928,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
<=> ( complementSubsetComplementIntersect = $true ) ),
inference(ennf_transformation,[],[f706]) ).
thf(f1225,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
| ( complementSubsetComplementIntersect != $true ) )
& ( ( complementSubsetComplementIntersect = $true )
| ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
!= $true )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) ) ) ),
inference(nnf_transformation,[],[f928]) ).
thf(f1226,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
| ( complementSubsetComplementIntersect != $true ) )
& ( ( complementSubsetComplementIntersect = $true )
| ? [X3: $i,X4: $i] :
( ? [X5: $i] :
( ( $true
!= ( subset @ ( setminus @ X3 @ X4 ) @ ( setminus @ X3 @ ( binintersect @ X4 @ X5 ) ) ) )
& ( $true
= ( in @ X5 @ ( powerset @ X3 ) ) ) )
& ( ( in @ X4 @ ( powerset @ X3 ) )
= $true ) ) ) ),
inference(rectify,[],[f1225]) ).
thf(f1227,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( subset @ ( setminus @ X0 @ X1 ) @ ( setminus @ X0 @ ( binintersect @ X1 @ X2 ) ) )
= $true )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true ) )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
| ( complementSubsetComplementIntersect != $true ) )
& ( ( complementSubsetComplementIntersect = $true )
| ( ( $true
!= ( subset @ ( setminus @ sK120 @ sK121 ) @ ( setminus @ sK120 @ ( binintersect @ sK121 @ sK122 ) ) ) )
& ( $true
= ( in @ sK122 @ ( powerset @ sK120 ) ) )
& ( ( in @ sK121 @ ( powerset @ sK120 ) )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK120,sK121,sK122]),skolemize(X3,sK120),skolemize(X4,sK121),skolemize(X5,sK122)],[f1226]) ).
thf(f1580,plain,
( ( upairequniteq = $true )
& ( subbreln = $true )
& ( replAx = $true )
& ( funcGraphProp3 = $true )
& ( binintersectTELcontra = $true )
& ( setextT = $true )
& ( setunionE2 = $true )
& ( binunionLsub = $true )
& ( cartprodpairmemEL = $true )
& ( dpsetconstrEL1 = $true )
& ( prop2setI = $true )
& ( brelnall1 = $true )
& ( exuI3 = $true )
& ( binunionT_lem = $true )
& ( setminusILneg = $true )
& ( setunionsingleton1 = $true )
& ( setukpairinjR11 = $true )
& ( emptyset__Cong = $true )
& ( setminusER = $true )
& ( cartprodsndin = $true )
& ( emptysetimpfalse = $true )
& ( doubleComplementEq = $true )
& ( emptyI = $true )
& ( cartprodfstin = $true )
& ( setextsub = $true )
& ( doubleComplementSub2 = $true )
& ( symdiffIneg2 = $true )
& ( eqbreln = $true )
& ( bs114d = $true )
& ( ex1I2 = $true )
& ( funcImageSingleton = $true )
& ( iffalse = $true )
& ( descrp = $true )
& ( nonemptyI1 = $true )
& ( notequalI2 = $true )
& ( singletonsuniq = $true )
& ( notdallE = $true )
& ( emptyInPowerset = $true )
& ( funcextLem = $true )
& ( complementImpComplementIntersect = $true )
& ( setukpairinjR12 = $true )
& ( complementTE1 = $true )
& ( nonemptyI = $true )
& ( quantDeMorgan2 = $true )
& ( emptyinunitempty = $true )
& ( powersetE1 = $true )
& ( setukpairIR = $true )
& ( binintersectEL = $true )
& ( vacuousDall = $true )
& ( symdiffIneg1 = $true )
& ( setadjoin__Cong = $true )
& ( binintersectLsub = $true )
& ( descr__Cong = $true )
& ( iftrueProp1 = $true )
& ( nonemptyImpWitness = $true )
& ( setunionsingleton = $true )
& ( setukpairinjL1 = $true )
& ( in__Cong = $true )
& ( setukpairinjR = $true )
& ( binintersectER = $true )
& ( powersetAx = $true )
& ( subsetTrans = $true )
& ( notinsingleton = $true )
& ( setminusI = $true )
& ( lam2lamEq = $true )
& ( omegaSAx = $true )
& ( setadjoinE = $true )
& ( setukpairinjR2 = $true )
& ( setminusSubset1 = $true )
& ( binintersectSubset2 = $true )
& ( complementTnotintersectT = $true )
& ( uniqinunit = $true )
& ( dsetconstrER = $true )
& ( complementSubsetComplementIntersect = $true )
& ( binintersectSubset3 = $true )
& ( powersetE = $true )
& ( upairsubunion = $true )
& ( ex1E1 = $true )
& ( subset2powerset = $true )
& ( notinemptyset = $true )
& ( setadjoinOr = $true )
& ( emptysetsubset = $true )
& ( dsetconstr__Cong = $true )
& ( funcext2 = $true )
& ( setunionAx = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( subsetTI = $true )
& ( dpsetconstrSub = $true )
& ( setextAx = $true )
& ( binintersectT_lem = $true )
& ( ap2p = $true )
& ( setadjoinIR = $true )
& ( singletoninpowerset = $true )
& ( brelnall2 = $true )
& ( iftrue = $true )
& ( singletonsswitch = $true )
& ( powersetI1 = $true )
& ( setadjoinAx = $true )
& ( subsetI2 = $true )
& ( ap2apEq1 = $true )
& ( setminusERneg = $true )
& ( binunionIL = $true )
& ( noeltsimpempty = $true )
& ( lam2p = $true )
& ( setOfPairsIsBReln = $true )
& ( upairinpowunion = $true )
& ( binintersectI = $true )
& ( infuncsetfunc = $true )
& ( emptyinPowerset = $true )
& ( subsetRefl = $true )
& ( doubleComplementSub1 = $true )
& ( setoftrueEq = $true )
& ( emptysetE = $true )
& ( upairsetIR = $true )
& ( binunionE = $true )
& ( setunionsingleton2 = $true )
& ( subsetE2 = $true )
& ( setext = $true )
& ( binunionRsub = $true )
& ( theprop = $true )
& ( setunionI = $true )
& ( setbeta = $true )
& ( upairset2IR = $true )
& ( binunionIR = $true )
& ( iftrueorfalse = $true )
& ( inPowerset = $true )
& ( theeq = $true )
& ( dpsetconstrERa = $true )
& ( kpairiskpair = $true )
& ( dsetconstrI = $true )
& ( setukpairinjL2 = $true )
& ( secondinupair = $true )
& ( omegaIndAx = $true )
& ( eta2 = $true )
& ( cartprodpairsurjEq = $true )
& ( quantDeMorgan4 = $true )
& ( exuE2 = $true )
& ( dpsetconstrI = $true )
& ( exuE3e = $true )
& ( exuEu = $true )
& ( setminusLsub = $true )
& ( subsetemptysetimpeq = $true )
& ( sepInPowerset = $true )
& ( setminusEL = $true )
& ( upairsetIL = $true )
& ( inCongP = $true )
& ( dpsetconstrEL2 = $true )
& ( disjointsetsI1 = $true )
& ( funcGraphProp2 = $true )
& ( setminusT_lem = $true )
& ( foundationAx = $true )
& ( ubforcartprodlem3 = $true )
& ( beta2 = $true )
& ( powersetI = $true )
& ( powersetTE1 = $true )
& ( subsetE = $true )
& ( cartprodpairin = $true )
& ( binintersectSubset4 = $true )
& ( binintersectTERcontra = $true )
& ( setadjoinSub = $true )
& ( emptyE1 = $true )
& ( binunionEcases = $true )
& ( subsetI1 = $true )
& ( singletonsubset = $true )
& ( exuE1 = $true )
& ( prop2setE = $true )
& ( binintersectSubset5 = $true )
& ( ksndsingleton = $true )
& ( apProp = $true )
& ( binintersectSubset1 = $true )
& ( cartprodpairmemER = $true )
& ( cartprodsndpairEq = $true )
& ( complementT_lem = $true )
& ( dpsetconstrER = $true )
& ( quantDeMorgan1 = $true )
& ( funcGraphProp1 = $true )
& ( symdiffI1 = $true )
& ( exu__Cong = $true )
& ( binintersectRsub = $true )
& ( ( in @ sK493 @ ( powerset @ sK492 ) )
= $true )
& ( $true
!= ( in @ ( setminus @ sK492 @ sK491 ) @ ( powerset @ ( setminus @ sK492 @ ( binintersect @ sK491 @ sK493 ) ) ) ) )
& ( $true
= ( in @ sK491 @ ( powerset @ sK492 ) ) )
& ( funcGraphProp4 = $true )
& ( setminusIRneg = $true )
& ( exuI2 = $true )
& ( upairset2E = $true )
& ( notequalI1 = $true )
& ( subPowSU = $true )
& ( setadjoinSub2 = $true )
& ( doubleComplementI1 = $true )
& ( lamp = $true )
& ( contrasubsetT2 = $true )
& ( ap2apEq2 = $true )
& ( eqimpsubset2 = $true )
& ( kpairsurjEq = $true )
& ( powersetTI1 = $true )
& ( cartprodmempair1 = $true )
& ( symdiffE = $true )
& ( ubforcartprodlem2 = $true )
& ( ifp = $true )
& ( kpairp = $true )
& ( notsubsetI = $true )
& ( powersetsubset = $true )
& ( ifSingleton = $true )
& ( funcinfuncset = $true )
& ( omega0Ax = $true )
& ( eqinunit = $true )
& ( setminusELneg = $true )
& ( contrasubsetT3 = $true )
& ( kfstpairEq = $true )
& ( iftrueProp2 = $true )
& ( iffalseProp1 = $true )
& ( powerset__Cong = $true )
& ( upairsetE = $true )
& ( nonemptyE1 = $true )
& ( ubforcartprodlem1 = $true )
& ( setunionE = $true )
& ( app = $true )
& ( exuI1 = $true )
& ( ex1I = $true )
& ( exuE3u = $true )
& ( setunion__Cong = $true )
& ( cartprodmempair = $true )
& ( funcext = $true )
& ( quantDeMorgan3 = $true )
& ( iffalseProp2 = $true )
& ( singletoninpowunion = $true )
& ( lamProp = $true )
& ( dsetconstrEL = $true )
& ( kfstsingleton = $true )
& ( ex1E2 = $true )
& ( setminusSubset2 = $true )
& ( beta1 = $true )
& ( eqimpsubset1 = $true )
& ( complementTI1 = $true )
& ( eta1 = $true )
& ( setadjoinIL = $true )
& ( singletonprop = $true )
& ( setukpairinjR1 = $true )
& ( powersetT_lem = $true )
& ( notdexE = $true )
& ( contrasubsetT = $true )
& ( prop2set2propI = $true )
& ( symdiffI2 = $true )
& ( contrasubsetT1 = $true )
& ( ksndpairEq = $true )
& ( doubleComplementE1 = $true )
& ( emptysetAx = $true )
& ( sepSubset = $true )
& ( omega__Cong = $true )
& ( setukpairinjL = $true )
& ( wellorderingAx = $true )
& ( setukpairIL = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK491,sK492,sK493]),skolemize(X0,sK491),skolemize(X1,sK492),skolemize(X2,sK493)],[f838]) ).
thf(f1632,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
| ( powersetI1 != $true ) )
& ( ( powersetI1 = $true )
| ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
& ( ( subset @ X1 @ X0 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f834]) ).
thf(f1633,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
| ( powersetI1 != $true ) )
& ( ( powersetI1 = $true )
| ? [X2: $i,X3: $i] :
( ( $true
!= ( in @ X3 @ ( powerset @ X2 ) ) )
& ( $true
= ( subset @ X3 @ X2 ) ) ) ) ),
inference(rectify,[],[f1632]) ).
thf(f1634,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
| ( powersetI1 != $true ) )
& ( ( powersetI1 = $true )
| ( ( $true
!= ( in @ sK548 @ ( powerset @ sK547 ) ) )
& ( ( subset @ sK548 @ sK547 )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK547,sK548]),skolemize(X2,sK547),skolemize(X3,sK548)],[f1633]) ).
thf(f2049,plain,
! [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 )
| ( complementSubsetComplementIntersect != $true ) ),
inference(cnf_transformation,[],[f1227]) ).
thf(f2621,plain,
( $true
= ( in @ sK491 @ ( powerset @ sK492 ) ) ),
inference(cnf_transformation,[],[f1580]) ).
thf(f2622,plain,
( $true
!= ( in @ ( setminus @ sK492 @ sK491 ) @ ( powerset @ ( setminus @ sK492 @ ( binintersect @ sK491 @ sK493 ) ) ) ) ),
inference(cnf_transformation,[],[f1580]) ).
thf(f2623,plain,
( ( in @ sK493 @ ( powerset @ sK492 ) )
= $true ),
inference(cnf_transformation,[],[f1580]) ).
thf(f2706,plain,
powersetI1 = $true,
inference(cnf_transformation,[],[f1580]) ).
thf(f2730,plain,
complementSubsetComplementIntersect = $true,
inference(cnf_transformation,[],[f1580]) ).
thf(f2873,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
| ( powersetI1 != $true )
| ( ( subset @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f1634]) ).
thf(f3413,plain,
( ( powersetI1 != $true )
| ( $true
!= ( subset @ ( setminus @ sK492 @ sK491 ) @ ( setminus @ sK492 @ ( binintersect @ sK491 @ sK493 ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f2622,f2873]) ).
thf(f3423,plain,
( ( powersetI1 != $true )
| ( $true
!= ( subset @ ( setminus @ sK492 @ sK491 ) @ ( setminus @ sK492 @ ( binintersect @ sK491 @ sK493 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f3413]) ).
thf(f3433,plain,
( $true
!= ( subset @ ( setminus @ sK492 @ sK491 ) @ ( setminus @ sK492 @ ( binintersect @ sK491 @ sK493 ) ) ) ),
inference(forward_subsumption_resolution,[],[f3423,f2706]) ).
thf(f3983,plain,
( ( ( in @ sK493 @ ( powerset @ sK492 ) )
!= $true )
| ( complementSubsetComplementIntersect != $true )
| ( $true
!= ( in @ sK491 @ ( powerset @ sK492 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f3433,f2049]) ).
thf(f3991,plain,
( ( complementSubsetComplementIntersect != $true )
| ( ( in @ sK493 @ ( powerset @ sK492 ) )
!= $true )
| ( $true
!= ( in @ sK491 @ ( powerset @ sK492 ) ) ) ),
inference(trivial_inequality_removal,[],[f3983]) ).
thf(f3997,plain,
( ( ( in @ sK493 @ ( powerset @ sK492 ) )
!= $true )
| ( $true
!= ( in @ sK491 @ ( powerset @ sK492 ) ) ) ),
inference(forward_subsumption_resolution,[],[f3991,f2730]) ).
thf(f4003,plain,
( $true
!= ( in @ sK491 @ ( powerset @ sK492 ) ) ),
inference(forward_subsumption_resolution,[],[f3997,f2623]) ).
thf(f4005,plain,
$false,
inference(forward_subsumption_resolution,[],[f4003,f2621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU735^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 14:17:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.15 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.24 % (170819)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.42/0.24 % (170830)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.42/0.24 % (170830)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
% 0.42/0.24 % (170826)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2790586378:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.42/0.24 % (170825)lrs+10_16_si=on:nwc=1.5:random_seed=2350384269:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.42/0.24 % (170828)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2905244373:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.42/0.24 % (170824)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=861698294:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.42/0.24 % (170827)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=3554963567: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)
% 0.42/0.24 % (170829)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1691204995:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.42/0.24 % (170830)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=1077146614:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.42/0.24 % (170826)Instruction limit reached!
% 0.42/0.24 % (170826)------------------------------
% 0.42/0.24 % (170826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.24 % (170826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.24 % (170826)CaDiCaL version: 2.1.3
% 0.42/0.24 % (170826)Termination reason: Instruction limit
% 0.42/0.24 % (170826)Termination phase: shuffling
% 0.42/0.24 % (170826)Time elapsed: 0.002 s
% 0.42/0.24 % (170826)Peak memory usage: 10 MB
% 0.42/0.24 % (170826)Instructions burned: 7 (million)
% 0.42/0.24 % (170825)Instruction limit reached!
% 0.42/0.24 % (170825)------------------------------
% 0.42/0.24 % (170825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.24 % (170825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.24 % (170825)CaDiCaL version: 2.1.3
% 0.42/0.24 % (170825)Termination reason: Instruction limit
% 0.42/0.24 % (170825)Termination phase: shuffling
% 0.42/0.24 % (170825)Time elapsed: 0.005 s
% 0.42/0.24 % (170825)Peak memory usage: 10 MB
% 0.42/0.24 % (170825)Instructions burned: 21 (million)
% 0.42/0.24 % (170828)Instruction limit reached!
% 0.42/0.24 % (170828)------------------------------
% 0.42/0.24 % (170828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.24 % (170828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.24 % (170828)CaDiCaL version: 2.1.3
% 0.42/0.24 % (170828)Termination reason: Instruction limit
% 0.42/0.24 % (170828)Termination phase: Property scanning
% 0.42/0.24 % (170828)Time elapsed: 0.006 s
% 0.42/0.24 % (170828)Peak memory usage: 10 MB
% 0.42/0.24 % (170828)Instructions burned: 26 (million)
% 0.42/0.24 % (170838)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2433958794:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.42/0.24 % (170838)Instruction limit reached!
% 0.42/0.24 % (170838)------------------------------
% 0.42/0.24 % (170838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.24 % (170838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.24 % (170838)CaDiCaL version: 2.1.3
% 0.42/0.24 % (170838)Termination reason: Instruction limit
% 0.42/0.24 % (170838)Termination phase: shuffling
% 0.42/0.24 % (170838)Time elapsed: 0.001 s
% 0.42/0.24 % (170838)Peak memory usage: 10 MB
% 0.42/0.24 % (170838)Instructions burned: 3 (million)
% 0.42/0.24 % (170840)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.42/0.24 % (170839)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=430721384:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.42/0.26 % (170840)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=972169852:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.42/0.26 % (170839)Instruction limit reached!
% 0.42/0.26 % (170839)------------------------------
% 0.42/0.26 % (170839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.26 % (170839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.26 % (170839)CaDiCaL version: 2.1.3
% 0.42/0.26 % (170839)Termination reason: Instruction limit
% 0.42/0.26 % (170839)Termination phase: shuffling
% 0.42/0.26 % (170839)Time elapsed: 0.002 s
% 0.42/0.26 % (170839)Peak memory usage: 10 MB
% 0.42/0.26 % (170839)Instructions burned: 7 (million)
% 0.42/0.26 % (170840)Instruction limit reached!
% 0.42/0.26 % (170840)------------------------------
% 0.42/0.26 % (170840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.26 % (170840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.26 % (170840)CaDiCaL version: 2.1.3
% 0.42/0.26 % (170840)Termination reason: Instruction limit
% 0.42/0.26 % (170840)Termination phase: shuffling
% 0.42/0.26 % (170840)Time elapsed: 0.002 s
% 0.42/0.26 % (170840)Peak memory usage: 10 MB
% 0.42/0.26 % (170840)Instructions burned: 8 (million)
% 0.42/0.26 % (170829)Instruction limit reached!
% 0.42/0.26 % (170829)------------------------------
% 0.42/0.26 % (170829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.26 % (170829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.26 % (170829)CaDiCaL version: 2.1.3
% 0.42/0.26 % (170829)Termination reason: Instruction limit
% 0.42/0.26 % (170829)Termination phase: Preprocessing 3
% 0.42/0.26 % (170829)Time elapsed: 0.019 s
% 0.42/0.26 % (170829)Peak memory usage: 12 MB
% 0.42/0.26 % (170829)Instructions burned: 77 (million)
% 0.42/0.26 % (170824)Instruction limit reached!
% 0.42/0.26 % (170824)------------------------------
% 0.42/0.26 % (170824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.26 % (170824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.26 % (170824)CaDiCaL version: 2.1.3
% 0.42/0.26 % (170824)Termination reason: Instruction limit
% 0.42/0.26 % (170824)Termination phase: Preprocessing 3
% 0.42/0.26 % (170824)Time elapsed: 0.023 s
% 0.42/0.26 % (170824)Peak memory usage: 13 MB
% 0.42/0.26 % (170824)Instructions burned: 91 (million)
% 0.42/0.26 % (170842)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3696957833:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.42/0.26 % (170845)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
% 0.42/0.26 % (170845)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.42/0.26 % (170846)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=2593363310:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.42/0.26 % (170845)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3546374799:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.42/0.26 % (170842)Instruction limit reached!
% 0.42/0.26 % (170842)------------------------------
% 0.42/0.26 % (170842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.26 % (170842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.26 % (170842)CaDiCaL version: 2.1.3
% 0.42/0.26 % (170842)Termination reason: Instruction limit
% 0.42/0.26 % (170842)Termination phase: shuffling
% 0.42/0.26 % (170842)Time elapsed: 0.005 s
% 0.42/0.26 % (170842)Peak memory usage: 10 MB
% 0.42/0.26 % (170842)Instructions burned: 20 (million)
% 0.42/0.26 % (170847)lrs+10_1_si=on:cs=on:random_seed=1714072695:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.42/0.26 % (170848)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.42/0.29 % (170848)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=953188389:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.42/0.29 % (170847)Instruction limit reached!
% 0.42/0.29 % (170847)------------------------------
% 0.42/0.29 % (170847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.29 % (170847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.29 % (170847)CaDiCaL version: 2.1.3
% 0.42/0.29 % (170847)Termination reason: Instruction limit
% 0.42/0.29 % (170847)Termination phase: shuffling
% 0.42/0.29 % (170847)Time elapsed: 0.004 s
% 0.42/0.29 % (170847)Peak memory usage: 10 MB
% 0.42/0.29 % (170847)Instructions burned: 17 (million)
% 0.42/0.29 % (170848)Instruction limit reached!
% 0.42/0.29 % (170848)------------------------------
% 0.42/0.29 % (170848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.29 % (170848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.29 % (170848)CaDiCaL version: 2.1.3
% 0.42/0.29 % (170848)Termination reason: Instruction limit
% 0.42/0.29 % (170848)Termination phase: shuffling
% 0.42/0.29 % (170848)Time elapsed: 0.001 s
% 0.42/0.29 % (170848)Peak memory usage: 10 MB
% 0.42/0.29 % (170848)Instructions burned: 2 (million)
% 0.42/0.29 % (170830)Instruction limit reached!
% 0.42/0.29 % (170830)------------------------------
% 0.42/0.29 % (170830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.29 % (170830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.29 % (170830)CaDiCaL version: 2.1.3
% 0.42/0.29 % (170830)Termination reason: Instruction limit
% 0.42/0.29 % (170830)Termination phase: Saturation
% 0.42/0.29 % (170830)Time elapsed: 0.035 s
% 0.42/0.29 % (170830)Peak memory usage: 13 MB
% 0.42/0.29 % (170830)Instructions burned: 158 (million)
% 0.42/0.29 % (170845)Instruction limit reached!
% 0.42/0.29 % (170845)------------------------------
% 0.42/0.29 % (170845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.29 % (170845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.29 % (170845)CaDiCaL version: 2.1.3
% 0.42/0.29 % (170845)Termination reason: Instruction limit
% 0.42/0.29 % (170845)Termination phase: shuffling
% 0.42/0.29 % (170845)Time elapsed: 0.008 s
% 0.42/0.29 % (170845)Peak memory usage: 10 MB
% 0.42/0.29 % (170845)Instructions burned: 30 (million)
% 0.42/0.29 % (170853)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1162127023:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.42/0.29 % (170855)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1414257017:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.42/0.29 % (170856)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=858482260:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.42/0.29 % (170857)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3706869313:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.42/0.29 % (170846)Instruction limit reached!
% 0.42/0.29 % (170846)------------------------------
% 0.42/0.29 % (170846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.29 % (170846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.29 % (170846)CaDiCaL version: 2.1.3
% 0.42/0.29 % (170846)Termination reason: Instruction limit
% 0.42/0.29 % (170846)Termination phase: Property scanning
% 0.42/0.29 % (170846)Time elapsed: 0.019 s
% 0.42/0.29 % (170846)Peak memory usage: 11 MB
% 0.42/0.29 % (170846)Instructions burned: 86 (million)
% 0.42/0.29 % (170858)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=411500527:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.42/0.29 % (170853)Instruction limit reached!
% 0.42/0.29 % (170853)------------------------------
% 0.42/0.29 % (170853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.29 % (170853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.29 % (170853)CaDiCaL version: 2.1.3
% 0.42/0.29 % (170853)Termination reason: Instruction limit
% 0.42/0.29 % (170853)Termination phase: SInE selection
% 0.42/0.29 % (170853)Time elapsed: 0.009 s
% 0.42/0.32 % (170853)Peak memory usage: 11 MB
% 0.42/0.32 % (170853)Instructions burned: 39 (million)
% 0.42/0.32 % (170857)Instruction limit reached!
% 0.42/0.32 % (170857)------------------------------
% 0.42/0.32 % (170857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.32 % (170857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.32 % (170857)CaDiCaL version: 2.1.3
% 0.42/0.32 % (170857)Termination reason: Instruction limit
% 0.42/0.32 % (170857)Termination phase: shuffling
% 0.42/0.32 % (170857)Time elapsed: 0.004 s
% 0.42/0.32 % (170857)Peak memory usage: 10 MB
% 0.42/0.32 % (170857)Instructions burned: 17 (million)
% 0.42/0.32 % (170856)Instruction limit reached!
% 0.42/0.32 % (170856)------------------------------
% 0.42/0.32 % (170856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.32 % (170856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.32 % (170856)CaDiCaL version: 2.1.3
% 0.42/0.32 % (170856)Termination reason: Instruction limit
% 0.42/0.32 % (170856)Termination phase: Property scanning
% 0.42/0.32 % (170856)Time elapsed: 0.006 s
% 0.42/0.32 % (170856)Peak memory usage: 10 MB
% 0.42/0.32 % (170856)Instructions burned: 26 (million)
% 0.42/0.32 % (170864)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1478582149:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.42/0.32 % (170865)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1650021342:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.42/0.32 % (170866)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1359101514:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.42/0.32 % (170865)Instruction limit reached!
% 0.42/0.32 % (170865)------------------------------
% 0.42/0.32 % (170865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.32 % (170865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.32 % (170865)CaDiCaL version: 2.1.3
% 0.42/0.32 % (170865)Termination reason: Instruction limit
% 0.42/0.32 % (170865)Termination phase: shuffling
% 0.42/0.32 % (170865)Time elapsed: 0.001 s
% 0.42/0.32 % (170865)Peak memory usage: 10 MB
% 0.42/0.32 % (170865)Instructions burned: 3 (million)
% 0.42/0.32 % (170867)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1336070046:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.42/0.32 % (170864)Instruction limit reached!
% 0.42/0.32 % (170864)------------------------------
% 0.42/0.32 % (170864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.32 % (170864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.32 % (170864)CaDiCaL version: 2.1.3
% 0.42/0.32 % (170864)Termination reason: Instruction limit
% 0.42/0.32 % (170864)Termination phase: shuffling
% 0.42/0.32 % (170864)Time elapsed: 0.004 s
% 0.42/0.32 % (170864)Peak memory usage: 10 MB
% 0.42/0.32 % (170864)Instructions burned: 17 (million)
% 0.42/0.32 % (170866)Instruction limit reached!
% 0.42/0.32 % (170866)------------------------------
% 0.42/0.32 % (170866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.32 % (170866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.32 % (170866)CaDiCaL version: 2.1.3
% 0.42/0.32 % (170866)Termination reason: Instruction limit
% 0.42/0.32 % (170866)Termination phase: shuffling
% 0.42/0.32 % (170866)Time elapsed: 0.007 s
% 0.42/0.32 % (170866)Peak memory usage: 10 MB
% 0.42/0.32 % (170866)Instructions burned: 30 (million)
% 0.42/0.32 % (170867)Instruction limit reached!
% 0.42/0.32 % (170867)------------------------------
% 0.42/0.32 % (170867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.32 % (170867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.32 % (170867)CaDiCaL version: 2.1.3
% 0.42/0.32 % (170867)Termination reason: Instruction limit
% 0.42/0.32 % (170867)Termination phase: shuffling
% 0.42/0.32 % (170867)Time elapsed: 0.006 s
% 0.42/0.32 % (170867)Peak memory usage: 11 MB
% 0.42/0.32 % (170867)Instructions burned: 25 (million)
% 0.42/0.32 % (170873)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
% 1.12/0.36 % (170873)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.12/0.36 % (170872)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3799654890:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 1.12/0.36 % (170873)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=1510840072:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.12/0.36 % (170874)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.12/0.36 % (170873)Instruction limit reached!
% 1.12/0.36 % (170873)------------------------------
% 1.12/0.36 % (170873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.36 % (170873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.36 % (170873)CaDiCaL version: 2.1.3
% 1.12/0.36 % (170873)Termination reason: Instruction limit
% 1.12/0.36 % (170873)Termination phase: shuffling
% 1.12/0.36 % (170873)Time elapsed: 0.004 s
% 1.12/0.36 % (170873)Peak memory usage: 10 MB
% 1.12/0.36 % (170873)Instructions burned: 17 (million)
% 1.12/0.36 % (170874)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=3979551347:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.12/0.36 % (170875)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=3092538617:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.12/0.36 % (170874)Instruction limit reached!
% 1.12/0.36 % (170874)------------------------------
% 1.12/0.36 % (170874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.36 % (170874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.36 % (170874)CaDiCaL version: 2.1.3
% 1.12/0.36 % (170874)Termination reason: Instruction limit
% 1.12/0.36 % (170874)Termination phase: shuffling
% 1.12/0.36 % (170874)Time elapsed: 0.003 s
% 1.12/0.36 % (170874)Peak memory usage: 10 MB
% 1.12/0.36 % (170874)Instructions burned: 12 (million)
% 1.12/0.36 % (170875)Instruction limit reached!
% 1.12/0.36 % (170875)------------------------------
% 1.12/0.36 % (170875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.36 % (170875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.36 % (170875)CaDiCaL version: 2.1.3
% 1.12/0.36 % (170875)Termination reason: Instruction limit
% 1.12/0.36 % (170875)Termination phase: shuffling
% 1.12/0.36 % (170875)Time elapsed: 0.008 s
% 1.12/0.36 % (170875)Peak memory usage: 10 MB
% 1.12/0.36 % (170875)Instructions burned: 36 (million)
% 1.12/0.36 % (170872)Instruction limit reached!
% 1.12/0.36 % (170872)------------------------------
% 1.12/0.36 % (170872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.36 % (170872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.36 % (170872)CaDiCaL version: 2.1.3
% 1.12/0.36 % (170872)Termination reason: Instruction limit
% 1.12/0.36 % (170872)Termination phase: Preprocessing 3
% 1.12/0.36 % (170872)Time elapsed: 0.015 s
% 1.12/0.36 % (170872)Peak memory usage: 12 MB
% 1.12/0.36 % (170872)Instructions burned: 60 (million)
% 1.12/0.36 % (170879)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3825312125:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.12/0.36 % (170879)Instruction limit reached!
% 1.12/0.36 % (170879)------------------------------
% 1.12/0.36 % (170879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.36 % (170879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.36 % (170879)CaDiCaL version: 2.1.3
% 1.12/0.36 % (170879)Termination reason: Instruction limit
% 1.12/0.36 % (170879)Termination phase: shuffling
% 1.12/0.36 % (170879)Time elapsed: 0.002 s
% 1.12/0.36 % (170879)Peak memory usage: 10 MB
% 1.12/0.36 % (170879)Instructions burned: 7 (million)
% 1.12/0.36 % (170881)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3433574419:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.12/0.36 % (170883)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1017286861:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.12/0.39 % (170881)Instruction limit reached!
% 1.12/0.39 % (170881)------------------------------
% 1.12/0.39 % (170881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.39 % (170881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.39 % (170881)CaDiCaL version: 2.1.3
% 1.12/0.39 % (170881)Termination reason: Instruction limit
% 1.12/0.39 % (170881)Termination phase: shuffling
% 1.12/0.39 % (170881)Time elapsed: 0.006 s
% 1.12/0.39 % (170881)Peak memory usage: 10 MB
% 1.12/0.39 % (170881)Instructions burned: 26 (million)
% 1.12/0.39 % (170885)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3814963607:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.12/0.39 % (170855)Instruction limit reached!
% 1.12/0.39 % (170855)------------------------------
% 1.12/0.39 % (170855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.39 % (170855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.39 % (170855)CaDiCaL version: 2.1.3
% 1.12/0.39 % (170855)Termination reason: Instruction limit
% 1.12/0.39 % (170855)Termination phase: Saturation
% 1.12/0.39 % (170855)Time elapsed: 0.059 s
% 1.12/0.39 % (170855)Peak memory usage: 15 MB
% 1.12/0.39 % (170855)Instructions burned: 252 (million)
% 1.12/0.39 % (170882)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2467463864:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.12/0.39 % (170888)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3100079430:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.12/0.39 % (170882)Instruction limit reached!
% 1.12/0.39 % (170882)------------------------------
% 1.12/0.39 % (170882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.39 % (170882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.39 % (170882)CaDiCaL version: 2.1.3
% 1.12/0.39 % (170882)Termination reason: Instruction limit
% 1.12/0.39 % (170882)Termination phase: shuffling
% 1.12/0.39 % (170882)Time elapsed: 0.009 s
% 1.12/0.39 % (170882)Peak memory usage: 10 MB
% 1.12/0.39 % (170882)Instructions burned: 20 (million)
% 1.12/0.39 % (170891)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3188482822:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.12/0.39 % (170893)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.12/0.39 % (170893)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1720992187:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.12/0.39 % (170891)Instruction limit reached!
% 1.12/0.39 % (170891)------------------------------
% 1.12/0.39 % (170891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.39 % (170891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.39 % (170891)CaDiCaL version: 2.1.3
% 1.12/0.39 % (170891)Termination reason: Instruction limit
% 1.12/0.39 % (170891)Termination phase: Property scanning
% 1.12/0.39 % (170891)Time elapsed: 0.013 s
% 1.12/0.39 % (170891)Peak memory usage: 11 MB
% 1.12/0.39 % (170891)Instructions burned: 56 (million)
% 1.12/0.39 % (170893)Instruction limit reached!
% 1.12/0.39 % (170893)------------------------------
% 1.12/0.39 % (170893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.39 % (170893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.39 % (170893)CaDiCaL version: 2.1.3
% 1.12/0.39 % (170893)Termination reason: Instruction limit
% 1.12/0.39 % (170893)Termination phase: shuffling
% 1.12/0.39 % (170893)Time elapsed: 0.003 s
% 1.12/0.39 % (170893)Peak memory usage: 10 MB
% 1.12/0.39 % (170893)Instructions burned: 12 (million)
% 1.12/0.39 % (170858)Instruction limit reached!
% 1.12/0.39 % (170858)------------------------------
% 1.12/0.39 % (170858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.39 % (170858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.39 % (170858)CaDiCaL version: 2.1.3
% 1.12/0.39 % (170858)Termination reason: Instruction limit
% 1.12/0.39 % (170858)Termination phase: Saturation
% 1.12/0.39 % (170858)Time elapsed: 0.081 s
% 1.74/0.44 % (170858)Peak memory usage: 15 MB
% 1.74/0.44 % (170858)Instructions burned: 327 (million)
% 1.74/0.44 % (170885)Instruction limit reached!
% 1.74/0.44 % (170885)------------------------------
% 1.74/0.44 % (170885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.44 % (170885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.44 % (170885)CaDiCaL version: 2.1.3
% 1.74/0.44 % (170885)Termination reason: Instruction limit
% 1.74/0.44 % (170885)Termination phase: Property scanning
% 1.74/0.44 % (170885)Time elapsed: 0.033 s
% 1.74/0.44 % (170885)Peak memory usage: 12 MB
% 1.74/0.44 % (170885)Instructions burned: 148 (million)
% 1.74/0.44 % (170898)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.74/0.44 % (170898)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4158638776:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.74/0.44 % (170898)Instruction limit reached!
% 1.74/0.44 % (170898)------------------------------
% 1.74/0.44 % (170898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.44 % (170898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.44 % (170898)CaDiCaL version: 2.1.3
% 1.74/0.44 % (170898)Termination reason: Instruction limit
% 1.74/0.44 % (170898)Termination phase: shuffling
% 1.74/0.44 % (170898)Time elapsed: 0.002 s
% 1.74/0.44 % (170898)Peak memory usage: 10 MB
% 1.74/0.44 % (170898)Instructions burned: 8 (million)
% 1.74/0.44 % (170899)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1610463419:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.74/0.44 % (170896)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3542177801:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.74/0.44 % (170897)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=2312153726:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.74/0.44 % (170899)Instruction limit reached!
% 1.74/0.44 % (170899)------------------------------
% 1.74/0.44 % (170899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.44 % (170899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.44 % (170899)CaDiCaL version: 2.1.3
% 1.74/0.44 % (170899)Termination reason: Instruction limit
% 1.74/0.44 % (170899)Termination phase: shuffling
% 1.74/0.44 % (170899)Time elapsed: 0.006 s
% 1.74/0.44 % (170899)Peak memory usage: 10 MB
% 1.74/0.44 % (170899)Instructions burned: 25 (million)
% 1.74/0.44 % (170901)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1458164896:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.74/0.44 % (170888)Instruction limit reached!
% 1.74/0.44 % (170888)------------------------------
% 1.74/0.44 % (170888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.44 % (170888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.44 % (170888)CaDiCaL version: 2.1.3
% 1.74/0.44 % (170888)Termination reason: Instruction limit
% 1.74/0.44 % (170888)Termination phase: Saturation
% 1.74/0.44 % (170888)Time elapsed: 0.044 s
% 1.74/0.44 % (170888)Peak memory usage: 13 MB
% 1.74/0.44 % (170888)Instructions burned: 197 (million)
% 1.74/0.44 % (170901)Instruction limit reached!
% 1.74/0.44 % (170901)------------------------------
% 1.74/0.44 % (170901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.44 % (170901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.44 % (170901)CaDiCaL version: 2.1.3
% 1.74/0.44 % (170901)Termination reason: Instruction limit
% 1.74/0.44 % (170901)Termination phase: shuffling
% 1.74/0.44 % (170901)Time elapsed: 0.005 s
% 1.74/0.44 % (170901)Peak memory usage: 10 MB
% 1.74/0.44 % (170901)Instructions burned: 22 (million)
% 1.74/0.44 % (170905)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=539220636:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.74/0.44 % (170907)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=595392860:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.74/0.47 % (170908)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=463088522:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.74/0.47 % (170827)Instruction limit reached!
% 1.74/0.47 % (170827)------------------------------
% 1.74/0.47 % (170827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170827)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170827)Termination reason: Instruction limit
% 1.74/0.47 % (170827)Termination phase: Saturation
% 1.74/0.47 % (170827)Time elapsed: 0.180 s
% 1.74/0.47 % (170827)Peak memory usage: 20 MB
% 1.74/0.47 % (170827)Instructions burned: 635 (million)
% 1.74/0.47 % (170908)Instruction limit reached!
% 1.74/0.47 % (170908)------------------------------
% 1.74/0.47 % (170908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170908)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170908)Termination reason: Instruction limit
% 1.74/0.47 % (170908)Termination phase: Property scanning
% 1.74/0.47 % (170908)Time elapsed: 0.010 s
% 1.74/0.47 % (170908)Peak memory usage: 10 MB
% 1.74/0.47 % (170908)Instructions burned: 47 (million)
% 1.74/0.47 % (170897)Instruction limit reached!
% 1.74/0.47 % (170897)------------------------------
% 1.74/0.47 % (170897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170897)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170897)Termination reason: Instruction limit
% 1.74/0.47 % (170897)Termination phase: Saturation
% 1.74/0.47 % (170897)Time elapsed: 0.038 s
% 1.74/0.47 % (170897)Peak memory usage: 14 MB
% 1.74/0.47 % (170897)Instructions burned: 173 (million)
% 1.74/0.47 % (170896)Instruction limit reached!
% 1.74/0.47 % (170896)------------------------------
% 1.74/0.47 % (170896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170896)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170896)Termination reason: Instruction limit
% 1.74/0.47 % (170896)Termination phase: Saturation
% 1.74/0.47 % (170896)Time elapsed: 0.041 s
% 1.74/0.47 % (170896)Peak memory usage: 13 MB
% 1.74/0.47 % (170896)Instructions burned: 185 (million)
% 1.74/0.47 % (170912)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3206523653:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 1.74/0.47 % (170913)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3700439175:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 1.74/0.47 % (170914)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.74/0.47 % (170913)Instruction limit reached!
% 1.74/0.47 % (170913)------------------------------
% 1.74/0.47 % (170913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170913)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170913)Termination reason: Instruction limit
% 1.74/0.47 % (170913)Termination phase: shuffling
% 1.74/0.47 % (170913)Time elapsed: 0.005 s
% 1.74/0.47 % (170913)Peak memory usage: 10 MB
% 1.74/0.47 % (170913)Instructions burned: 21 (million)
% 1.74/0.47 % (170914)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1686972522:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.74/0.47 % (170915)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=993375898:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 1.74/0.47 % (170915)Instruction limit reached!
% 1.74/0.47 % (170915)------------------------------
% 1.74/0.47 % (170915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170915)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170915)Termination reason: Instruction limit
% 1.74/0.47 % (170915)Termination phase: shuffling
% 1.74/0.47 % (170915)Time elapsed: 0.004 s
% 1.74/0.47 % (170915)Peak memory usage: 10 MB
% 1.74/0.47 % (170915)Instructions burned: 17 (million)
% 1.74/0.47 % (170918)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=944888686:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.74/0.47 % (170921)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3359027406:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 1.74/0.47 % (170918)Instruction limit reached!
% 1.74/0.47 % (170918)------------------------------
% 1.74/0.47 % (170918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170918)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170918)Termination reason: Instruction limit
% 1.74/0.47 % (170918)Termination phase: SInE selection
% 1.74/0.47 % (170918)Time elapsed: 0.016 s
% 1.74/0.47 % (170918)Peak memory usage: 11 MB
% 1.74/0.47 % (170918)Instructions burned: 69 (million)
% 1.74/0.47 % (170921)Instruction limit reached!
% 1.74/0.47 % (170921)------------------------------
% 1.74/0.47 % (170921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170921)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170921)Termination reason: Instruction limit
% 1.74/0.47 % (170921)Termination phase: Property scanning
% 1.74/0.47 % (170921)Time elapsed: 0.012 s
% 1.74/0.47 % (170921)Peak memory usage: 11 MB
% 1.74/0.47 % (170921)Instructions burned: 51 (million)
% 1.74/0.47 % (170924)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1933916115:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.74/0.47 % (170925)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3891748893:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 1.74/0.47 % (170924)Instruction limit reached!
% 1.74/0.47 % (170924)------------------------------
% 1.74/0.47 % (170924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170924)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170924)Termination reason: Instruction limit
% 1.74/0.47 % (170924)Termination phase: shuffling
% 1.74/0.47 % (170924)Time elapsed: 0.008 s
% 1.74/0.47 % (170924)Peak memory usage: 10 MB
% 1.74/0.47 % (170924)Instructions burned: 34 (million)
% 1.74/0.47 % (170905)Instruction limit reached!
% 1.74/0.47 % (170905)------------------------------
% 1.74/0.47 % (170905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170905)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170905)Termination reason: Instruction limit
% 1.74/0.47 % (170905)Termination phase: Saturation
% 1.74/0.47 % (170905)Time elapsed: 0.080 s
% 1.74/0.47 % (170905)Peak memory usage: 15 MB
% 1.74/0.47 % (170905)Instructions burned: 318 (million)
% 1.74/0.47 % (170914)Instruction limit reached!
% 1.74/0.47 % (170914)------------------------------
% 1.74/0.47 % (170914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170914)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170914)Termination reason: Instruction limit
% 1.74/0.47 % (170914)Termination phase: Saturation
% 1.74/0.47 % (170914)Time elapsed: 0.046 s
% 1.74/0.47 % (170914)Peak memory usage: 14 MB
% 1.74/0.47 % (170914)Instructions burned: 203 (million)
% 1.74/0.47 % (170930)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 1.74/0.47 % (170928)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=1593884059:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 1.74/0.47 % (170929)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3496215747:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 1.74/0.47 % (170930)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=68999348:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2997 on theBenchmark for (2997ds/180Mi)
% 1.74/0.47 % (170928)Instruction limit reached!
% 1.74/0.47 % (170928)------------------------------
% 1.74/0.47 % (170928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170928)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170928)Termination reason: Instruction limit
% 1.74/0.47 % (170928)Termination phase: Property scanning
% 1.74/0.47 % (170928)Time elapsed: 0.008 s
% 1.74/0.47 % (170928)Peak memory usage: 11 MB
% 1.74/0.47 % (170928)Instructions burned: 37 (million)
% 1.74/0.47 % (170925)Instruction limit reached!
% 1.74/0.47 % (170925)------------------------------
% 1.74/0.47 % (170925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170925)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170925)Termination reason: Instruction limit
% 1.74/0.47 % (170925)Termination phase: Property scanning
% 1.74/0.47 % (170925)Time elapsed: 0.031 s
% 1.74/0.47 % (170925)Peak memory usage: 12 MB
% 1.74/0.47 % (170925)Instructions burned: 138 (million)
% 1.74/0.47 % (170929)Instruction limit reached!
% 1.74/0.47 % (170929)------------------------------
% 1.74/0.47 % (170929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.47 % (170929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.47 % (170929)CaDiCaL version: 2.1.3
% 1.74/0.47 % (170929)Termination reason: Instruction limit
% 1.74/0.47 % (170929)Termination phase: Property scanning
% 1.74/0.47 % (170929)Time elapsed: 0.016 s
% 1.74/0.47 % (170929)Peak memory usage: 12 MB
% 1.74/0.47 % (170929)Instructions burned: 71 (million)
% 1.74/0.47 % (170934)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3617912706:st=2:i=246:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/246Mi)
% 1.74/0.47 % (170912) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-170819-170912"...
% 1.74/0.47 % (170912)...printing done.
% 1.74/0.47 % (170935)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=262544340:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 1.74/0.47 % (170912)Refutation found. Thanks to Tanya!
% 1.74/0.47 % SZS status Theorem for theBenchmark
% 1.74/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.48 % (170912)------------------------------
% 1.74/0.48 % (170912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.48 % (170912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.48 % (170912)CaDiCaL version: 2.1.3
% 1.74/0.48 % (170912)Termination reason: Refutation
% 1.74/0.48 % (170912)Time elapsed: 0.089 s
% 1.74/0.48 % (170912)Peak memory usage: 17 MB
% 1.74/0.48 % (170912)Instructions burned: 333 (million)
% 1.74/0.48 % (170819)Success in time 0.319 s
% 1.74/0.48 % Vampire exiting
%------------------------------------------------------------------------------