%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU767^1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:31:13 AM UTC 2026
% Result : Theorem 3.42s 0.98s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 5348 (1482 equ; 0 cnn)
% Maximal formula atoms : 286 ( 213 avg)
% Number of connectives : 2673 ( 35 ~; 23 |;1149 &; 318 @)
% ( 2 <=>;1146 =>; 0 <=; 0 <~>)
% Maximal formula depth : 295 ( 96 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 515 ( 512 usr; 315 con; 0-4 aty)
% Number of variables : 51 ( 0 ^; 36 !; 15 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_164,type,
upairset2E: $o ).
thf(func_def_165,type,
upairsubunion: $o ).
thf(func_def_166,type,
upairinpowunion: $o ).
thf(func_def_167,type,
ubforcartprodlem1: $o ).
thf(func_def_168,type,
ubforcartprodlem2: $o ).
thf(func_def_169,type,
ubforcartprodlem3: $o ).
thf(func_def_170,type,
cartprodpairin: $o ).
thf(func_def_171,type,
cartprodmempair1: $o ).
thf(func_def_172,type,
cartprodmempair: $o ).
thf(func_def_173,type,
setunionE2: $o ).
thf(func_def_174,type,
setunionsingleton1: $o ).
thf(func_def_175,type,
setunionsingleton2: $o ).
thf(func_def_176,type,
setunionsingleton: $o ).
thf(func_def_177,type,
singleton: $i > $o ).
thf(func_def_178,type,
singletonprop: $o ).
thf(func_def_179,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_180,type,
ex1E1: $o ).
thf(func_def_181,type,
ex1I: $o ).
thf(func_def_182,type,
ex1I2: $o ).
thf(func_def_183,type,
singletonsuniq: $o ).
thf(func_def_184,type,
atmost1p: $i > $o ).
thf(func_def_185,type,
atleast2p: $i > $o ).
thf(func_def_186,type,
atmost2p: $i > $o ).
thf(func_def_187,type,
upairsetp: $i > $o ).
thf(func_def_188,type,
setukpairinjL1: $o ).
thf(func_def_189,type,
kfstsingleton: $o ).
thf(func_def_190,type,
theprop: $o ).
thf(func_def_191,type,
kfst: $i > $i ).
thf(func_def_192,type,
kfstpairEq: $o ).
thf(func_def_193,type,
cartprodfstin: $o ).
thf(func_def_194,type,
setukpairinjL2: $o ).
thf(func_def_195,type,
setukpairinjL: $o ).
thf(func_def_196,type,
setukpairinjR11: $o ).
thf(func_def_197,type,
setukpairinjR12: $o ).
thf(func_def_198,type,
setukpairinjR1: $o ).
thf(func_def_199,type,
upairequniteq: $o ).
thf(func_def_200,type,
setukpairinjR2: $o ).
thf(func_def_201,type,
setukpairinjR: $o ).
thf(func_def_202,type,
ksndsingleton: $o ).
thf(func_def_203,type,
ksnd: $i > $i ).
thf(func_def_204,type,
ksndpairEq: $o ).
thf(func_def_205,type,
kpairsurjEq: $o ).
thf(func_def_206,type,
cartprodsndin: $o ).
thf(func_def_207,type,
cartprodpairmemEL: $o ).
thf(func_def_208,type,
cartprodpairmemER: $o ).
thf(func_def_209,type,
cartprodmempaircEq: $o ).
thf(func_def_210,type,
cartprodfstpairEq: $o ).
thf(func_def_211,type,
cartprodsndpairEq: $o ).
thf(func_def_212,type,
cartprodpairsurjEq: $o ).
thf(func_def_213,type,
breln: $i > $i > $i > $o ).
thf(func_def_214,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_215,type,
dpsetconstrI: $o ).
thf(func_def_216,type,
dpsetconstrSub: $o ).
thf(func_def_217,type,
setOfPairsIsBReln: $o ).
thf(func_def_218,type,
dpsetconstrERa: $o ).
thf(func_def_219,type,
dpsetconstrEL1: $o ).
thf(func_def_220,type,
dpsetconstrEL2: $o ).
thf(func_def_221,type,
dpsetconstrER: $o ).
thf(func_def_222,type,
func: $i > $i > $i > $o ).
thf(func_def_223,type,
funcSet: $i > $i > $i ).
thf(func_def_224,type,
funcImageSingleton: $o ).
thf(func_def_225,type,
apProp: $o ).
thf(func_def_226,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_227,type,
app: $o ).
thf(func_def_228,type,
infuncsetfunc: $o ).
thf(func_def_229,type,
ap2p: $o ).
thf(func_def_230,type,
funcinfuncset: $o ).
thf(func_def_231,type,
lamProp: $o ).
thf(func_def_232,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(func_def_233,type,
lamp: $o ).
thf(func_def_234,type,
lam2p: $o ).
thf(func_def_235,type,
brelnall1: $o ).
thf(func_def_236,type,
brelnall2: $o ).
thf(func_def_237,type,
ex1E2: $o ).
thf(func_def_238,type,
funcGraphProp1: $o ).
thf(func_def_239,type,
funcGraphProp3: $o ).
thf(func_def_240,type,
funcGraphProp2: $o ).
thf(func_def_241,type,
funcextLem: $o ).
thf(func_def_242,type,
funcGraphProp4: $o ).
thf(func_def_243,type,
subbreln: $o ).
thf(func_def_244,type,
eqbreln: $o ).
thf(func_def_245,type,
funcext: $o ).
thf(func_def_246,type,
funcext2: $o ).
thf(func_def_247,type,
ap2apEq1: $o ).
thf(func_def_248,type,
ap2apEq2: $o ).
thf(func_def_249,type,
beta1: $o ).
thf(func_def_250,type,
eta1: $o ).
thf(func_def_251,type,
lam2lamEq: $o ).
thf(func_def_252,type,
beta2: $o ).
thf(func_def_253,type,
eta2: $o ).
thf(func_def_254,type,
iffalseProp1: $o ).
thf(func_def_255,type,
iffalseProp2: $o ).
thf(func_def_256,type,
iftrueProp1: $o ).
thf(func_def_257,type,
iftrueProp2: $o ).
thf(func_def_258,type,
ifSingleton: $o ).
thf(func_def_259,type,
if: $i > $o > $i > $i > $i ).
thf(func_def_260,type,
ifp: $o ).
thf(func_def_261,type,
theeq: $o ).
thf(func_def_262,type,
iftrue: $o ).
thf(func_def_263,type,
iffalse: $o ).
thf(func_def_264,type,
iftrueorfalse: $o ).
thf(func_def_265,type,
binintersectT_lem: $o ).
thf(func_def_266,type,
binunionT_lem: $o ).
thf(func_def_267,type,
powersetT_lem: $o ).
thf(func_def_268,type,
setminusT_lem: $o ).
thf(func_def_269,type,
complementT_lem: $o ).
thf(func_def_270,type,
setextT: $o ).
thf(func_def_271,type,
subsetTI: $o ).
thf(func_def_272,type,
powersetTI1: $o ).
thf(func_def_273,type,
powersetTE1: $o ).
thf(func_def_274,type,
complementTI1: $o ).
thf(func_def_275,type,
complementTE1: $o ).
thf(func_def_276,type,
binintersectTELcontra: $o ).
thf(func_def_277,type,
binintersectTERcontra: $o ).
thf(func_def_278,type,
contrasubsetT: $o ).
thf(func_def_279,type,
contrasubsetT1: $o ).
thf(func_def_280,type,
contrasubsetT2: $o ).
thf(func_def_281,type,
contrasubsetT3: $o ).
thf(func_def_282,type,
doubleComplementI1: $o ).
thf(func_def_283,type,
doubleComplementE1: $o ).
thf(func_def_284,type,
doubleComplementSub1: $o ).
thf(func_def_285,type,
doubleComplementSub2: $o ).
thf(func_def_286,type,
doubleComplementEq: $o ).
thf(func_def_287,type,
complementTnotintersectT: $o ).
thf(func_def_288,type,
complementImpComplementIntersect: $o ).
thf(func_def_289,type,
complementSubsetComplementIntersect: $o ).
thf(func_def_290,type,
complementInPowersetComplementIntersect: $o ).
thf(func_def_291,type,
contraSubsetComplement: $o ).
thf(func_def_292,type,
complementTcontraSubset: $o ).
thf(func_def_293,type,
binunionTILcontra: $o ).
thf(func_def_294,type,
binunionTIRcontra: $o ).
thf(func_def_295,type,
inIntersectImpInUnion: $o ).
thf(func_def_296,type,
inIntersectImpInUnion2: $o ).
thf(func_def_297,type,
inIntersectImpInIntersectUnions: $o ).
thf(func_def_298,type,
intersectInPowersetIntersectUnions: $o ).
thf(func_def_299,type,
inComplementUnionImpNotIn1: $o ).
thf(func_def_300,type,
inComplementUnionImpInComplement1: $o ).
thf(func_def_301,type,
binunionTE: $o ).
thf(func_def_302,type,
binunionTEcontra: $o ).
thf(func_def_303,type,
demorgan2a1: $o ).
thf(func_def_304,type,
complementUnionInPowersetComplement: $o ).
thf(func_def_305,type,
demorgan2a2: $o ).
thf(func_def_306,type,
demorgan1a: $o ).
thf(func_def_307,type,
demorgan1b: $o ).
thf(func_def_308,type,
demorgan1: $o ).
thf(func_def_309,type,
demorgan2a: $o ).
thf(func_def_310,type,
demorgan2b2: $o ).
thf(func_def_311,type,
demorgan2b: $o ).
thf(func_def_312,type,
demorgan2: $o ).
thf(func_def_313,type,
woz13rule0: $o ).
thf(func_def_314,type,
woz13rule1: $o ).
thf(func_def_315,type,
woz13rule2: $o ).
thf(func_def_316,type,
woz13rule3: $o ).
thf(func_def_317,type,
woz13rule4: $o ).
thf(func_def_318,type,
woz1_1: $o ).
thf(func_def_319,type,
woz1_2: $o ).
thf(func_def_320,type,
woz1_3: $o ).
thf(func_def_321,type,
woz1_4: $o ).
thf(func_def_324,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_325,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_326,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_327,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_328,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_329,type,
vNOT: $o > $o ).
thf(func_def_330,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_331,type,
vAND: $o > $o > $o ).
thf(func_def_332,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_333,type,
vIMP: $o > $o > $o ).
thf(func_def_334,type,
vOR: $o > $o > $o ).
thf(func_def_335,type,
sP0: $o ).
thf(func_def_336,type,
sP1: $i > $i > $i > $o ).
thf(func_def_337,type,
sP2: $i > $i > $o ).
thf(func_def_338,type,
sP3: $i > $o ).
thf(func_def_339,type,
sP4: $i > $i > $o ).
thf(func_def_340,type,
sP5: $i > $i > $o ).
thf(func_def_341,type,
sP6: $i > $o > $i > $i > $o ).
thf(func_def_342,type,
sP7: $i > $i > $i > $i > $o ).
thf(func_def_343,type,
sP8: $o ).
thf(func_def_344,type,
sP9: $o ).
thf(func_def_345,type,
sP10: $o ).
thf(func_def_346,type,
sP11: $o ).
thf(func_def_347,type,
sP12: $o ).
thf(func_def_348,type,
sK13: $i > $o ).
thf(func_def_355,type,
sK20: $i > $o ).
thf(func_def_373,type,
sK38: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_374,type,
sK39: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_377,type,
sK42: $i > $o ).
thf(func_def_378,type,
sK43: $i > $o ).
thf(func_def_391,type,
sK56: $i > $i > $i > $i > $i ).
thf(func_def_396,type,
sK61: $i > $o ).
thf(func_def_398,type,
sK63: $i > ( $i > $o ) > $i ).
thf(func_def_400,type,
sK65: $i > $i ).
thf(func_def_403,type,
sK68: $i > ( $i > $i ) > $i > $i ).
thf(func_def_405,type,
sK70: $i > $i ).
thf(func_def_410,type,
sK75: $i > $o ).
thf(func_def_424,type,
sK89: $i > $i > $i ).
thf(func_def_440,type,
sK105: $i > $i > $o ).
thf(func_def_443,type,
sK108: $i > $i > $i ).
thf(func_def_446,type,
sK111: $i > $i ).
thf(func_def_448,type,
sK113: $i > $i > $i ).
thf(func_def_459,type,
sK124: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_460,type,
sK125: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_464,type,
sK129: $i > $o ).
thf(func_def_470,type,
sK135: $o ).
thf(func_def_480,type,
sK145: $o ).
thf(func_def_498,type,
sK163: $o ).
thf(func_def_504,type,
sK169: $i > $i > $i ).
thf(func_def_512,type,
sK177: $i > $i ).
thf(func_def_515,type,
sK180: $i > $i ).
thf(func_def_516,type,
sK181: $i > $o ).
thf(func_def_533,type,
sK198: $i > $o ).
thf(func_def_544,type,
sK209: $i > $i > $o ).
thf(func_def_566,type,
sK231: ( $i > $o ) > $i > $i ).
thf(func_def_568,type,
sK233: $i > $o ).
thf(func_def_576,type,
sK241: $i > $i > $i ).
thf(func_def_594,type,
sK259: $o ).
thf(func_def_605,type,
sK270: $i > $i > $i ).
thf(func_def_608,type,
sK273: $o ).
thf(func_def_632,type,
sK297: $i > $o ).
thf(func_def_648,type,
sK313: $i > $i ).
thf(func_def_650,type,
sK315: $i > ( $i > $i ) > $i > $i ).
thf(func_def_654,type,
sK319: $i > $i > $i > $i ).
thf(func_def_658,type,
sK323: $i > $i > $i > $i ).
thf(func_def_661,type,
sK326: $o ).
thf(func_def_662,type,
sK327: $o > $i > $i > $i ).
thf(func_def_667,type,
sK332: $i > $i > $i ).
thf(func_def_668,type,
sK333: $i > $i > $i ).
thf(func_def_669,type,
sK334: $i > $i > $i ).
thf(func_def_670,type,
sK335: $i > $i > $i ).
thf(func_def_671,type,
sK336: $i > $i > $i > $i ).
thf(func_def_672,type,
sK337: $i > $i ).
thf(func_def_673,type,
sK338: $i > $i ).
thf(func_def_674,type,
sK339: $i > $i ).
thf(func_def_675,type,
sK340: $i > $i ).
thf(func_def_676,type,
sK341: $i > $i > $i ).
thf(func_def_677,type,
sK342: $i > $i > $i > $i ).
thf(func_def_678,type,
sK343: $i > $i > $i > $i ).
thf(func_def_679,type,
sK344: $i > $i > $i ).
thf(func_def_680,type,
sK345: $i > $i > $i ).
thf(func_def_682,type,
sK347: $i > $i ).
thf(func_def_683,type,
sK348: $i > $i ).
thf(func_def_684,type,
sK349: $i > $i ).
thf(func_def_685,type,
sK350: $i > $i > $i ).
thf(func_def_693,type,
sK358: $i > $o ).
thf(func_def_696,type,
sK361: $i > ( $i > $o ) > $i ).
thf(func_def_698,type,
sK363: $i > $o ).
thf(func_def_700,type,
sK365: $o ).
thf(func_def_713,type,
sK378: $i > $i > $o ).
thf(func_def_714,type,
sK379: $o ).
thf(func_def_718,type,
sK383: ( $i > $o ) > $i > $i ).
thf(func_def_720,type,
sK385: $i > $o ).
thf(func_def_772,type,
sK437: $o ).
thf(func_def_773,type,
sK438: $i > ( $i > $o ) > $i ).
thf(func_def_774,type,
sK439: $i > $o ).
thf(func_def_782,type,
sK447: $i > $o ).
thf(func_def_783,type,
sK448: ( $i > $o ) > $i > $i ).
thf(func_def_788,type,
sK453: $i > $i > $i > $i > $i ).
thf(func_def_789,type,
sK454: $i > $i > $i > $i > $i ).
thf(func_def_790,type,
sK455: $i > $i > $i > $i > $i ).
thf(func_def_791,type,
sK456: $i > $i > $i > $i > $i ).
thf(func_def_810,type,
sK475: $i > $i ).
thf(func_def_813,type,
sK478: $i > $i > ( $i > $i ) > $i ).
thf(func_def_824,type,
sK489: $o ).
thf(func_def_836,type,
sK501: $o ).
thf(func_def_842,type,
sK507: $i > $o ).
thf(func_def_843,type,
sK508: $i > $o ).
thf(func_def_844,type,
sK509: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_845,type,
sK510: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_874,type,
sK539: $i > $i > $i > $i > $i ).
thf(func_def_875,type,
sK540: $i > $i > $i > $i > $i ).
thf(func_def_886,type,
sK551: $i > $i > $i > $i ).
thf(func_def_887,type,
sK552: $i > $i > $i > $i ).
thf(func_def_894,type,
sK559: $i > $i > $i > $i > $i ).
thf(func_def_902,type,
sK567: $i > $i > $i ).
thf(func_def_905,type,
sK570: $i > $i > $i ).
thf(func_def_906,type,
sK571: $i > $i > $i ).
thf(func_def_918,type,
sK583: $i > $i > $o ).
thf(func_def_920,type,
sK585: $i > $i ).
thf(func_def_921,type,
sK586: $i > $i ).
thf(func_def_922,type,
sK587: $i > ( $i > $i > $o ) > $i ).
thf(func_def_923,type,
sK588: $i > ( $i > $i > $o ) > $i ).
thf(func_def_924,type,
sK589: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_925,type,
sK590: ( $i > $o ) > $i ).
thf(func_def_926,type,
sK591: ( $i > $o ) > $i ).
thf(func_def_927,type,
sK592: $i > $o ).
thf(func_def_935,type,
sK600: $i > $i > $i > $i > $i ).
thf(func_def_946,type,
sK611: $o ).
thf(func_def_958,type,
sK623: $i > $o ).
thf(func_def_959,type,
sK624: $i > $o ).
thf(func_def_960,type,
sK625: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_961,type,
sK626: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_969,type,
sK634: $i > $o ).
thf(func_def_970,type,
sK635: ( $i > $o ) > $i > $i > $i ).
thf(func_def_971,type,
sK636: $i > $i > $i ).
thf(func_def_994,type,
sK659: $i > $i > $i > $i ).
thf(func_def_1000,type,
sK665: $o ).
thf(func_def_1004,type,
sK669: $o ).
thf(func_def_1023,type,
sK688: $i > $o ).
thf(func_def_1028,type,
sK693: $o ).
thf(func_def_1042,type,
sK707: $i > $o ).
thf(func_def_1044,type,
sK709: ( $i > $o ) > $i > $i ).
thf(func_def_1045,type,
sK710: ( $i > $o ) > $i > $i ).
thf(func_def_1046,type,
sK711: $i > $o ).
thf(func_def_1047,type,
sK712: ( $i > $o ) > $i ).
thf(func_def_1048,type,
sK713: $i > $o ).
thf(func_def_1051,type,
sK716: $i > ( $i > $o ) > $i ).
thf(func_def_1052,type,
sK717: ( $i > $o ) > $i ).
thf(func_def_1053,type,
sK718: $i > $o ).
thf(func_def_1054,type,
sK719: $i > $i ).
thf(func_def_1058,type,
sK723: $i > $i ).
thf(func_def_1068,type,
sK733: $i > ( $i > $o ) > $i ).
thf(func_def_1069,type,
sK734: $i > $o ).
thf(func_def_1071,type,
sK736: $i > $i ).
thf(func_def_1074,type,
sK739: $i > $o ).
thf(func_def_1079,type,
sK744: $i > $o ).
thf(func_def_1084,type,
sK749: $i > $o ).
thf(func_def_1093,type,
sK758: ( $i > $o ) > $i ).
thf(func_def_1094,type,
sK759: $i > $o ).
thf(func_def_1095,type,
sK760: $i > $i ).
thf(func_def_1099,type,
sK764: $i > $i ).
thf(func_def_1100,type,
sK765: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1107,type,
sK772: $i > $o ).
thf(func_def_1115,type,
sK780: $i > $i > $o ).
thf(func_def_1136,type,
sK801: $i > $o ).
thf(func_def_1139,type,
sK804: $i > ( $i > $o ) > $i ).
thf(func_def_1140,type,
sK805: $i > ( $i > $o ) > $i ).
thf(func_def_1166,type,
sK831: $i > $i > ( $i > $i ) > $i ).
thf(func_def_1167,type,
sK832: $i > $i ).
thf(func_def_1171,type,
sK836: $i > $i > $o ).
thf(func_def_1176,type,
sK841: $i > $i > ( $i > $i ) > $i ).
thf(func_def_1177,type,
sK842: $i > $i ).
thf(func_def_1183,type,
sK848: $i > $i > $o ).
thf(func_def_1188,type,
sK853: $i > $i ).
thf(func_def_1205,type,
sK870: $o ).
thf(func_def_1214,type,
sK879: $i > $i > $o ).
thf(func_def_1217,type,
sK882: $o ).
thf(func_def_1219,type,
sK884: $i > $o ).
thf(func_def_1227,type,
sK892: $i > $o ).
thf(func_def_1229,type,
sK894: ( $i > $o ) > $i > $i ).
thf(func_def_1238,type,
sK903: $o ).
thf(func_def_1239,type,
sK904: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1240,type,
sK905: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1244,type,
sK909: $i > $o ).
thf(func_def_1257,type,
sK922: $i > $i > $i > $i ).
thf(f270,axiom,
( complementUnionInPowersetComplement
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complementUnionInPowersetComplement) ).
thf(f288,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',woz1_5) ).
thf(f289,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f288]) ).
thf(f333,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ( in @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) @ ( powerset @ ( setminus @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f289]) ).
thf(f334,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ( ( setminusT_lem = $true )
=> ( ( complementT_lem = $true )
=> ( ( setextT = $true )
=> ( ( subsetTI = $true )
=> ( ( powersetTI1 = $true )
=> ( ( powersetTE1 = $true )
=> ( ( complementTI1 = $true )
=> ( ( complementTE1 = $true )
=> ( ( binintersectTELcontra = $true )
=> ( ( binintersectTERcontra = $true )
=> ( ( contrasubsetT = $true )
=> ( ( contrasubsetT1 = $true )
=> ( ( contrasubsetT2 = $true )
=> ( ( contrasubsetT3 = $true )
=> ( ( doubleComplementI1 = $true )
=> ( ( doubleComplementE1 = $true )
=> ( ( doubleComplementSub1 = $true )
=> ( ( doubleComplementSub2 = $true )
=> ( ( doubleComplementEq = $true )
=> ( ( complementTnotintersectT = $true )
=> ( ( complementImpComplementIntersect = $true )
=> ( ( complementSubsetComplementIntersect = $true )
=> ( ( complementInPowersetComplementIntersect = $true )
=> ( ( contraSubsetComplement = $true )
=> ( ( complementTcontraSubset = $true )
=> ( ( binunionTILcontra = $true )
=> ( ( binunionTIRcontra = $true )
=> ( ( inIntersectImpInUnion = $true )
=> ( ( inIntersectImpInUnion2 = $true )
=> ( ( inIntersectImpInIntersectUnions = $true )
=> ( ( intersectInPowersetIntersectUnions = $true )
=> ( ( inComplementUnionImpNotIn1 = $true )
=> ( ( inComplementUnionImpInComplement1 = $true )
=> ( ( binunionTE = $true )
=> ( ( binunionTEcontra = $true )
=> ( ( demorgan2a1 = $true )
=> ( ( complementUnionInPowersetComplement = $true )
=> ( ( demorgan2a2 = $true )
=> ( ( demorgan1a = $true )
=> ( ( demorgan1b = $true )
=> ( ( demorgan1 = $true )
=> ( ( demorgan2a = $true )
=> ( ( demorgan2b2 = $true )
=> ( ( demorgan2b = $true )
=> ( ( demorgan2 = $true )
=> ( ( woz13rule0 = $true )
=> ( ( woz13rule1 = $true )
=> ( ( woz13rule2 = $true )
=> ( ( woz13rule3 = $true )
=> ( ( woz13rule4 = $true )
=> ( ( woz1_1 = $true )
=> ( ( woz1_2 = $true )
=> ( ( woz1_3 = $true )
=> ( ( woz1_4 = $true )
=> ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ! [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
=> ( $true
= ( in @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) @ ( powerset @ ( setminus @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f333]) ).
thf(f749,plain,
( complementUnionInPowersetComplement
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ),
inference(rectify,[],[f270]) ).
thf(f750,plain,
( ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ( ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) )
= $true ) ) )
<=> ( complementUnionInPowersetComplement = $true ) ),
inference(fool_elimination,[],[f749]) ).
thf(f909,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true )
| ( ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) )
= $true ) )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
<=> ( complementUnionInPowersetComplement = $true ) ),
inference(ennf_transformation,[],[f750]) ).
thf(f1030,plain,
( ? [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
& ? [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
& ( $true
!= ( in @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) @ ( powerset @ ( setminus @ X1 @ X0 ) ) ) ) ) )
& ( woz1_4 = $true )
& ( woz1_3 = $true )
& ( woz1_2 = $true )
& ( woz1_1 = $true )
& ( woz13rule4 = $true )
& ( woz13rule3 = $true )
& ( woz13rule2 = $true )
& ( woz13rule1 = $true )
& ( woz13rule0 = $true )
& ( demorgan2 = $true )
& ( demorgan2b = $true )
& ( demorgan2b2 = $true )
& ( demorgan2a = $true )
& ( demorgan1 = $true )
& ( demorgan1b = $true )
& ( demorgan1a = $true )
& ( demorgan2a2 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( demorgan2a1 = $true )
& ( binunionTEcontra = $true )
& ( binunionTE = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( inIntersectImpInUnion2 = $true )
& ( inIntersectImpInUnion = $true )
& ( binunionTIRcontra = $true )
& ( binunionTILcontra = $true )
& ( complementTcontraSubset = $true )
& ( contraSubsetComplement = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementSubsetComplementIntersect = $true )
& ( complementImpComplementIntersect = $true )
& ( complementTnotintersectT = $true )
& ( doubleComplementEq = $true )
& ( doubleComplementSub2 = $true )
& ( doubleComplementSub1 = $true )
& ( doubleComplementE1 = $true )
& ( doubleComplementI1 = $true )
& ( contrasubsetT3 = $true )
& ( contrasubsetT2 = $true )
& ( contrasubsetT1 = $true )
& ( contrasubsetT = $true )
& ( binintersectTERcontra = $true )
& ( binintersectTELcontra = $true )
& ( complementTE1 = $true )
& ( complementTI1 = $true )
& ( powersetTE1 = $true )
& ( powersetTI1 = $true )
& ( subsetTI = $true )
& ( setextT = $true )
& ( complementT_lem = $true )
& ( setminusT_lem = $true )
& ( powersetT_lem = $true )
& ( binunionT_lem = $true )
& ( binintersectT_lem = $true )
& ( iftrueorfalse = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( theeq = $true )
& ( ifp = $true )
& ( ifSingleton = $true )
& ( iftrueProp2 = $true )
& ( iftrueProp1 = $true )
& ( iffalseProp2 = $true )
& ( iffalseProp1 = $true )
& ( eta2 = $true )
& ( beta2 = $true )
& ( lam2lamEq = $true )
& ( eta1 = $true )
& ( beta1 = $true )
& ( ap2apEq2 = $true )
& ( ap2apEq1 = $true )
& ( funcext2 = $true )
& ( funcext = $true )
& ( eqbreln = $true )
& ( subbreln = $true )
& ( funcGraphProp4 = $true )
& ( funcextLem = $true )
& ( funcGraphProp2 = $true )
& ( funcGraphProp3 = $true )
& ( funcGraphProp1 = $true )
& ( ex1E2 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( lam2p = $true )
& ( lamp = $true )
& ( lamProp = $true )
& ( funcinfuncset = $true )
& ( ap2p = $true )
& ( infuncsetfunc = $true )
& ( app = $true )
& ( apProp = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrER = $true )
& ( dpsetconstrEL2 = $true )
& ( dpsetconstrEL1 = $true )
& ( dpsetconstrERa = $true )
& ( setOfPairsIsBReln = $true )
& ( dpsetconstrSub = $true )
& ( dpsetconstrI = $true )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f334]) ).
thf(f1031,plain,
( ( binintersectLsub = $true )
& ( ifp = $true )
& ( brelnall1 = $true )
& ( emptyset__Cong = $true )
& ( ifSingleton = $true )
& ( subsetI1 = $true )
& ( subset2powerset = $true )
& ( funcextLem = $true )
& ( doubleComplementSub1 = $true )
& ( setunionE2 = $true )
& ( setukpairIR = $true )
& ( binunionIR = $true )
& ( singletoninpowerset = $true )
& ( upairinpowunion = $true )
& ( notsubsetI = $true )
& ( setminusSubset1 = $true )
& ( setukpairinjR1 = $true )
& ( setminusT_lem = $true )
& ( setadjoinSub = $true )
& ( emptysetsubset = $true )
& ( in__Cong = $true )
& ( ubforcartprodlem3 = $true )
& ( setunionsingleton1 = $true )
& ( binintersectSubset3 = $true )
& ( contraSubsetComplement = $true )
& ( setadjoinAx = $true )
& ( demorgan1 = $true )
& ( dsetconstr__Cong = $true )
& ( sepInPowerset = $true )
& ( binintersectSubset1 = $true )
& ( binintersectI = $true )
& ( eqimpsubset1 = $true )
& ( ksndpairEq = $true )
& ( woz13rule4 = $true )
& ( subsetTI = $true )
& ( demorgan2a = $true )
& ( binunionTE = $true )
& ( funcGraphProp1 = $true )
& ( omega0Ax = $true )
& ( iffalseProp1 = $true )
& ( setadjoinIR = $true )
& ( funcImageSingleton = $true )
& ( demorgan2 = $true )
& ( complementT_lem = $true )
& ( symdiffIneg2 = $true )
& ( sepSubset = $true )
& ( binintersectSubset5 = $true )
& ( setadjoinE = $true )
& ( doubleComplementE1 = $true )
& ( setukpairinjL = $true )
& ( cartprodfstpairEq = $true )
& ( setukpairinjR11 = $true )
& ( demorgan2a2 = $true )
& ( inIntersectImpInUnion = $true )
& ( funcGraphProp4 = $true )
& ( setextAx = $true )
& ( powersetTE1 = $true )
& ( emptysetE = $true )
& ( complementUnionInPowersetComplement = $true )
& ( setadjoinOr = $true )
& ( setminusELneg = $true )
& ( upairequniteq = $true )
& ( eqbreln = $true )
& ( wellorderingAx = $true )
& ( exu__Cong = $true )
& ( setminusEL = $true )
& ( uniqinunit = $true )
& ( demorgan1a = $true )
& ( dpsetconstrEL1 = $true )
& ( contrasubsetT3 = $true )
& ( setoftrueEq = $true )
& ( lamProp = $true )
& ( eqinunit = $true )
& ( demorgan2b = $true )
& ( upairsetIR = $true )
& ( binunionTILcontra = $true )
& ( powersetAx = $true )
& ( woz1_2 = $true )
& ( setminusLsub = $true )
& ( exuI1 = $true )
& ( ap2apEq2 = $true )
& ( woz1_1 = $true )
& ( omega__Cong = $true )
& ( emptysetAx = $true )
& ( contrasubsetT = $true )
& ( kpairiskpair = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( prop2set2propI = $true )
& ( setminusER = $true )
& ( bs114d = $true )
& ( nonemptyE1 = $true )
& ( demorgan1b = $true )
& ( singletonsuniq = $true )
& ( funcext = $true )
& ( setext = $true )
& ( kfstpairEq = $true )
& ( descrp = $true )
& ( woz13rule3 = $true )
& ( prop2setI = $true )
& ( ex1I2 = $true )
& ( iffalseProp2 = $true )
& ( theprop = $true )
& ( doubleComplementI1 = $true )
& ( dpsetconstrER = $true )
& ( powersetT_lem = $true )
& ( subbreln = $true )
& ( powersetsubset = $true )
& ( woz13rule2 = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( setminusIRneg = $true )
& ( powerset__Cong = $true )
& ( notequalI1 = $true )
& ( infuncsetfunc = $true )
& ( setukpairIL = $true )
& ( binunionTEcontra = $true )
& ( setextT = $true )
& ( cartprodpairmemEL = $true )
& ( iftrue = $true )
& ( subsetI2 = $true )
& ( setextsub = $true )
& ( replAx = $true )
& ( dpsetconstrEL2 = $true )
& ( symdiffI2 = $true )
& ( quantDeMorgan3 = $true )
& ( binunionE = $true )
& ( demorgan2b2 = $true )
& ( complementTcontraSubset = $true )
& ( dsetconstrER = $true )
& ( noeltsimpempty = $true )
& ( binintersectEL = $true )
& ( complementSubsetComplementIntersect = $true )
& ( emptyE1 = $true )
& ( inPowerset = $true )
& ( binintersectTELcontra = $true )
& ( beta2 = $true )
& ( ap2p = $true )
& ( upairsetE = $true )
& ( setukpairinjR2 = $true )
& ( ubforcartprodlem2 = $true )
& ( emptysetimpfalse = $true )
& ( contrasubsetT2 = $true )
& ( setadjoinIL = $true )
& ( funcGraphProp3 = $true )
& ( upairsetIL = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairsurjEq = $true )
& ( upairset2IR = $true )
& ( upairset2E = $true )
& ( setunionI = $true )
& ( kpairp = $true )
& ( singletonsubset = $true )
& ( woz13rule1 = $true )
& ( exuE3e = $true )
& ( powersetE = $true )
& ( lam2lamEq = $true )
& ( binunionRsub = $true )
& ( setunionAx = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( brelnall2 = $true )
& ( subsetE = $true )
& ( woz1_4 = $true )
& ( exuEu = $true )
& ( vacuousDall = $true )
& ( iffalse = $true )
& ( setunionsingleton2 = $true )
& ( singletonprop = $true )
& ( setminusI = $true )
& ( dpsetconstrI = $true )
& ( woz1_3 = $true )
& ( nonemptyI = $true )
& ( foundationAx = $true )
& ( cartprodsndin = $true )
& ( setadjoin__Cong = $true )
& ( doubleComplementEq = $true )
& ( cartprodfstin = $true )
& ( funcinfuncset = $true )
& ( ubforcartprodlem1 = $true )
& ( setukpairinjR12 = $true )
& ( complementTI1 = $true )
& ( ap2apEq1 = $true )
& ( setminusILneg = $true )
& ( binunionIL = $true )
& ( woz13rule0 = $true )
& ( quantDeMorgan2 = $true )
& ( iftrueProp2 = $true )
& ( upairsubunion = $true )
& ( ex1E1 = $true )
& ( setukpairinjL2 = $true )
& ( exuE1 = $true )
& ( secondinupair = $true )
& ( setminusSubset2 = $true )
& ( exuE3u = $true )
& ( powersetI = $true )
& ( setbeta = $true )
& ( notdexE = $true )
& ( notdallE = $true )
& ? [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
& ? [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
& ( $true
!= ( in @ ( setminus @ X1 @ ( binunion @ X0 @ X2 ) ) @ ( powerset @ ( setminus @ X1 @ X0 ) ) ) ) ) )
& ( complementTE1 = $true )
& ( eta1 = $true )
& ( kpairsurjEq = $true )
& ( exuI3 = $true )
& ( setadjoinSub2 = $true )
& ( notinsingleton = $true )
& ( contrasubsetT1 = $true )
& ( theeq = $true )
& ( singletoninpowunion = $true )
& ( ex1I = $true )
& ( setunionsingleton = $true )
& ( setunion__Cong = $true )
& ( iftrueorfalse = $true )
& ( dpsetconstrERa = $true )
& ( binintersectER = $true )
& ( disjointsetsI1 = $true )
& ( powersetE1 = $true )
& ( notequalI2 = $true )
& ( emptyI = $true )
& ( quantDeMorgan1 = $true )
& ( iftrueProp1 = $true )
& ( binunionT_lem = $true )
& ( ksndsingleton = $true )
& ( binintersectRsub = $true )
& ( symdiffIneg1 = $true )
& ( singletonsswitch = $true )
& ( emptyInPowerset = $true )
& ( powersetI1 = $true )
& ( setukpairinjR = $true )
& ( dsetconstrI = $true )
& ( setukpairinjL1 = $true )
& ( dsetconstrEL = $true )
& ( nonemptyI1 = $true )
& ( omegaSAx = $true )
& ( powersetTI1 = $true )
& ( demorgan2a1 = $true )
& ( binintersectT_lem = $true )
& ( emptyinunitempty = $true )
& ( subsetemptysetimpeq = $true )
& ( prop2setE = $true )
& ( subsetTrans = $true )
& ( binintersectSubset2 = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( cartprodmempair = $true )
& ( subsetRefl = $true )
& ( exuI2 = $true )
& ( descr__Cong = $true )
& ( binintersectSubset4 = $true )
& ( lam2p = $true )
& ( cartprodsndpairEq = $true )
& ( inIntersectImpInUnion2 = $true )
& ( binunionEcases = $true )
& ( lamp = $true )
& ( symdiffE = $true )
& ( apProp = $true )
& ( eqimpsubset2 = $true )
& ( setunionE = $true )
& ( cartprodmempaircEq = $true )
& ( binunionTIRcontra = $true )
& ( funcext2 = $true )
& ( complementImpComplementIntersect = $true )
& ( beta1 = $true )
& ( inCongP = $true )
& ( notinemptyset = $true )
& ( doubleComplementSub2 = $true )
& ( subsetE2 = $true )
& ( binunionLsub = $true )
& ( complementTnotintersectT = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( app = $true )
& ( funcGraphProp2 = $true )
& ( emptyinPowerset = $true )
& ( symdiffI1 = $true )
& ( omegaIndAx = $true )
& ( cartprodmempair1 = $true )
& ( binintersectTERcontra = $true )
& ( setminusERneg = $true )
& ( eta2 = $true )
& ( kfstsingleton = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setOfPairsIsBReln = $true )
& ( ex1E2 = $true )
& ( cartprodpairin = $true )
& ( dpsetconstrSub = $true )
& ( nonemptyImpWitness = $true )
& ( quantDeMorgan4 = $true ) ),
inference(flattening,[],[f1030]) ).
thf(f1660,plain,
( ( binintersectLsub = $true )
& ( ifp = $true )
& ( brelnall1 = $true )
& ( emptyset__Cong = $true )
& ( ifSingleton = $true )
& ( subsetI1 = $true )
& ( subset2powerset = $true )
& ( funcextLem = $true )
& ( doubleComplementSub1 = $true )
& ( setunionE2 = $true )
& ( setukpairIR = $true )
& ( binunionIR = $true )
& ( singletoninpowerset = $true )
& ( upairinpowunion = $true )
& ( notsubsetI = $true )
& ( setminusSubset1 = $true )
& ( setukpairinjR1 = $true )
& ( setminusT_lem = $true )
& ( setadjoinSub = $true )
& ( emptysetsubset = $true )
& ( in__Cong = $true )
& ( ubforcartprodlem3 = $true )
& ( setunionsingleton1 = $true )
& ( binintersectSubset3 = $true )
& ( contraSubsetComplement = $true )
& ( setadjoinAx = $true )
& ( demorgan1 = $true )
& ( dsetconstr__Cong = $true )
& ( sepInPowerset = $true )
& ( binintersectSubset1 = $true )
& ( binintersectI = $true )
& ( eqimpsubset1 = $true )
& ( ksndpairEq = $true )
& ( woz13rule4 = $true )
& ( subsetTI = $true )
& ( demorgan2a = $true )
& ( binunionTE = $true )
& ( funcGraphProp1 = $true )
& ( omega0Ax = $true )
& ( iffalseProp1 = $true )
& ( setadjoinIR = $true )
& ( funcImageSingleton = $true )
& ( demorgan2 = $true )
& ( complementT_lem = $true )
& ( symdiffIneg2 = $true )
& ( sepSubset = $true )
& ( binintersectSubset5 = $true )
& ( setadjoinE = $true )
& ( doubleComplementE1 = $true )
& ( setukpairinjL = $true )
& ( cartprodfstpairEq = $true )
& ( setukpairinjR11 = $true )
& ( demorgan2a2 = $true )
& ( inIntersectImpInUnion = $true )
& ( funcGraphProp4 = $true )
& ( setextAx = $true )
& ( powersetTE1 = $true )
& ( emptysetE = $true )
& ( complementUnionInPowersetComplement = $true )
& ( setadjoinOr = $true )
& ( setminusELneg = $true )
& ( upairequniteq = $true )
& ( eqbreln = $true )
& ( wellorderingAx = $true )
& ( exu__Cong = $true )
& ( setminusEL = $true )
& ( uniqinunit = $true )
& ( demorgan1a = $true )
& ( dpsetconstrEL1 = $true )
& ( contrasubsetT3 = $true )
& ( setoftrueEq = $true )
& ( lamProp = $true )
& ( eqinunit = $true )
& ( demorgan2b = $true )
& ( upairsetIR = $true )
& ( binunionTILcontra = $true )
& ( powersetAx = $true )
& ( woz1_2 = $true )
& ( setminusLsub = $true )
& ( exuI1 = $true )
& ( ap2apEq2 = $true )
& ( woz1_1 = $true )
& ( omega__Cong = $true )
& ( emptysetAx = $true )
& ( contrasubsetT = $true )
& ( kpairiskpair = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( prop2set2propI = $true )
& ( setminusER = $true )
& ( bs114d = $true )
& ( nonemptyE1 = $true )
& ( demorgan1b = $true )
& ( singletonsuniq = $true )
& ( funcext = $true )
& ( setext = $true )
& ( kfstpairEq = $true )
& ( descrp = $true )
& ( woz13rule3 = $true )
& ( prop2setI = $true )
& ( ex1I2 = $true )
& ( iffalseProp2 = $true )
& ( theprop = $true )
& ( doubleComplementI1 = $true )
& ( dpsetconstrER = $true )
& ( powersetT_lem = $true )
& ( subbreln = $true )
& ( powersetsubset = $true )
& ( woz13rule2 = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( setminusIRneg = $true )
& ( powerset__Cong = $true )
& ( notequalI1 = $true )
& ( infuncsetfunc = $true )
& ( setukpairIL = $true )
& ( binunionTEcontra = $true )
& ( setextT = $true )
& ( cartprodpairmemEL = $true )
& ( iftrue = $true )
& ( subsetI2 = $true )
& ( setextsub = $true )
& ( replAx = $true )
& ( dpsetconstrEL2 = $true )
& ( symdiffI2 = $true )
& ( quantDeMorgan3 = $true )
& ( binunionE = $true )
& ( demorgan2b2 = $true )
& ( complementTcontraSubset = $true )
& ( dsetconstrER = $true )
& ( noeltsimpempty = $true )
& ( binintersectEL = $true )
& ( complementSubsetComplementIntersect = $true )
& ( emptyE1 = $true )
& ( inPowerset = $true )
& ( binintersectTELcontra = $true )
& ( beta2 = $true )
& ( ap2p = $true )
& ( upairsetE = $true )
& ( setukpairinjR2 = $true )
& ( ubforcartprodlem2 = $true )
& ( emptysetimpfalse = $true )
& ( contrasubsetT2 = $true )
& ( setadjoinIL = $true )
& ( funcGraphProp3 = $true )
& ( upairsetIL = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairsurjEq = $true )
& ( upairset2IR = $true )
& ( upairset2E = $true )
& ( setunionI = $true )
& ( kpairp = $true )
& ( singletonsubset = $true )
& ( woz13rule1 = $true )
& ( exuE3e = $true )
& ( powersetE = $true )
& ( lam2lamEq = $true )
& ( binunionRsub = $true )
& ( setunionAx = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( brelnall2 = $true )
& ( subsetE = $true )
& ( woz1_4 = $true )
& ( exuEu = $true )
& ( vacuousDall = $true )
& ( iffalse = $true )
& ( setunionsingleton2 = $true )
& ( singletonprop = $true )
& ( setminusI = $true )
& ( dpsetconstrI = $true )
& ( woz1_3 = $true )
& ( nonemptyI = $true )
& ( foundationAx = $true )
& ( cartprodsndin = $true )
& ( setadjoin__Cong = $true )
& ( doubleComplementEq = $true )
& ( cartprodfstin = $true )
& ( funcinfuncset = $true )
& ( ubforcartprodlem1 = $true )
& ( setukpairinjR12 = $true )
& ( complementTI1 = $true )
& ( ap2apEq1 = $true )
& ( setminusILneg = $true )
& ( binunionIL = $true )
& ( woz13rule0 = $true )
& ( quantDeMorgan2 = $true )
& ( iftrueProp2 = $true )
& ( upairsubunion = $true )
& ( ex1E1 = $true )
& ( setukpairinjL2 = $true )
& ( exuE1 = $true )
& ( secondinupair = $true )
& ( setminusSubset2 = $true )
& ( exuE3u = $true )
& ( powersetI = $true )
& ( setbeta = $true )
& ( notdexE = $true )
& ( notdallE = $true )
& ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ? [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
& ( ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) )
!= $true ) ) )
& ( complementTE1 = $true )
& ( eta1 = $true )
& ( kpairsurjEq = $true )
& ( exuI3 = $true )
& ( setadjoinSub2 = $true )
& ( notinsingleton = $true )
& ( contrasubsetT1 = $true )
& ( theeq = $true )
& ( singletoninpowunion = $true )
& ( ex1I = $true )
& ( setunionsingleton = $true )
& ( setunion__Cong = $true )
& ( iftrueorfalse = $true )
& ( dpsetconstrERa = $true )
& ( binintersectER = $true )
& ( disjointsetsI1 = $true )
& ( powersetE1 = $true )
& ( notequalI2 = $true )
& ( emptyI = $true )
& ( quantDeMorgan1 = $true )
& ( iftrueProp1 = $true )
& ( binunionT_lem = $true )
& ( ksndsingleton = $true )
& ( binintersectRsub = $true )
& ( symdiffIneg1 = $true )
& ( singletonsswitch = $true )
& ( emptyInPowerset = $true )
& ( powersetI1 = $true )
& ( setukpairinjR = $true )
& ( dsetconstrI = $true )
& ( setukpairinjL1 = $true )
& ( dsetconstrEL = $true )
& ( nonemptyI1 = $true )
& ( omegaSAx = $true )
& ( powersetTI1 = $true )
& ( demorgan2a1 = $true )
& ( binintersectT_lem = $true )
& ( emptyinunitempty = $true )
& ( subsetemptysetimpeq = $true )
& ( prop2setE = $true )
& ( subsetTrans = $true )
& ( binintersectSubset2 = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( cartprodmempair = $true )
& ( subsetRefl = $true )
& ( exuI2 = $true )
& ( descr__Cong = $true )
& ( binintersectSubset4 = $true )
& ( lam2p = $true )
& ( cartprodsndpairEq = $true )
& ( inIntersectImpInUnion2 = $true )
& ( binunionEcases = $true )
& ( lamp = $true )
& ( symdiffE = $true )
& ( apProp = $true )
& ( eqimpsubset2 = $true )
& ( setunionE = $true )
& ( cartprodmempaircEq = $true )
& ( binunionTIRcontra = $true )
& ( funcext2 = $true )
& ( complementImpComplementIntersect = $true )
& ( beta1 = $true )
& ( inCongP = $true )
& ( notinemptyset = $true )
& ( doubleComplementSub2 = $true )
& ( subsetE2 = $true )
& ( binunionLsub = $true )
& ( complementTnotintersectT = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( app = $true )
& ( funcGraphProp2 = $true )
& ( emptyinPowerset = $true )
& ( symdiffI1 = $true )
& ( omegaIndAx = $true )
& ( cartprodmempair1 = $true )
& ( binintersectTERcontra = $true )
& ( setminusERneg = $true )
& ( eta2 = $true )
& ( kfstsingleton = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setOfPairsIsBReln = $true )
& ( ex1E2 = $true )
& ( cartprodpairin = $true )
& ( dpsetconstrSub = $true )
& ( nonemptyImpWitness = $true )
& ( quantDeMorgan4 = $true ) ),
inference(rectify,[],[f1031]) ).
thf(f1661,plain,
( ( binintersectLsub = $true )
& ( ifp = $true )
& ( brelnall1 = $true )
& ( emptyset__Cong = $true )
& ( ifSingleton = $true )
& ( subsetI1 = $true )
& ( subset2powerset = $true )
& ( funcextLem = $true )
& ( doubleComplementSub1 = $true )
& ( setunionE2 = $true )
& ( setukpairIR = $true )
& ( binunionIR = $true )
& ( singletoninpowerset = $true )
& ( upairinpowunion = $true )
& ( notsubsetI = $true )
& ( setminusSubset1 = $true )
& ( setukpairinjR1 = $true )
& ( setminusT_lem = $true )
& ( setadjoinSub = $true )
& ( emptysetsubset = $true )
& ( in__Cong = $true )
& ( ubforcartprodlem3 = $true )
& ( setunionsingleton1 = $true )
& ( binintersectSubset3 = $true )
& ( contraSubsetComplement = $true )
& ( setadjoinAx = $true )
& ( demorgan1 = $true )
& ( dsetconstr__Cong = $true )
& ( sepInPowerset = $true )
& ( binintersectSubset1 = $true )
& ( binintersectI = $true )
& ( eqimpsubset1 = $true )
& ( ksndpairEq = $true )
& ( woz13rule4 = $true )
& ( subsetTI = $true )
& ( demorgan2a = $true )
& ( binunionTE = $true )
& ( funcGraphProp1 = $true )
& ( omega0Ax = $true )
& ( iffalseProp1 = $true )
& ( setadjoinIR = $true )
& ( funcImageSingleton = $true )
& ( demorgan2 = $true )
& ( complementT_lem = $true )
& ( symdiffIneg2 = $true )
& ( sepSubset = $true )
& ( binintersectSubset5 = $true )
& ( setadjoinE = $true )
& ( doubleComplementE1 = $true )
& ( setukpairinjL = $true )
& ( cartprodfstpairEq = $true )
& ( setukpairinjR11 = $true )
& ( demorgan2a2 = $true )
& ( inIntersectImpInUnion = $true )
& ( funcGraphProp4 = $true )
& ( setextAx = $true )
& ( powersetTE1 = $true )
& ( emptysetE = $true )
& ( complementUnionInPowersetComplement = $true )
& ( setadjoinOr = $true )
& ( setminusELneg = $true )
& ( upairequniteq = $true )
& ( eqbreln = $true )
& ( wellorderingAx = $true )
& ( exu__Cong = $true )
& ( setminusEL = $true )
& ( uniqinunit = $true )
& ( demorgan1a = $true )
& ( dpsetconstrEL1 = $true )
& ( contrasubsetT3 = $true )
& ( setoftrueEq = $true )
& ( lamProp = $true )
& ( eqinunit = $true )
& ( demorgan2b = $true )
& ( upairsetIR = $true )
& ( binunionTILcontra = $true )
& ( powersetAx = $true )
& ( woz1_2 = $true )
& ( setminusLsub = $true )
& ( exuI1 = $true )
& ( ap2apEq2 = $true )
& ( woz1_1 = $true )
& ( omega__Cong = $true )
& ( emptysetAx = $true )
& ( contrasubsetT = $true )
& ( kpairiskpair = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( prop2set2propI = $true )
& ( setminusER = $true )
& ( bs114d = $true )
& ( nonemptyE1 = $true )
& ( demorgan1b = $true )
& ( singletonsuniq = $true )
& ( funcext = $true )
& ( setext = $true )
& ( kfstpairEq = $true )
& ( descrp = $true )
& ( woz13rule3 = $true )
& ( prop2setI = $true )
& ( ex1I2 = $true )
& ( iffalseProp2 = $true )
& ( theprop = $true )
& ( doubleComplementI1 = $true )
& ( dpsetconstrER = $true )
& ( powersetT_lem = $true )
& ( subbreln = $true )
& ( powersetsubset = $true )
& ( woz13rule2 = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( setminusIRneg = $true )
& ( powerset__Cong = $true )
& ( notequalI1 = $true )
& ( infuncsetfunc = $true )
& ( setukpairIL = $true )
& ( binunionTEcontra = $true )
& ( setextT = $true )
& ( cartprodpairmemEL = $true )
& ( iftrue = $true )
& ( subsetI2 = $true )
& ( setextsub = $true )
& ( replAx = $true )
& ( dpsetconstrEL2 = $true )
& ( symdiffI2 = $true )
& ( quantDeMorgan3 = $true )
& ( binunionE = $true )
& ( demorgan2b2 = $true )
& ( complementTcontraSubset = $true )
& ( dsetconstrER = $true )
& ( noeltsimpempty = $true )
& ( binintersectEL = $true )
& ( complementSubsetComplementIntersect = $true )
& ( emptyE1 = $true )
& ( inPowerset = $true )
& ( binintersectTELcontra = $true )
& ( beta2 = $true )
& ( ap2p = $true )
& ( upairsetE = $true )
& ( setukpairinjR2 = $true )
& ( ubforcartprodlem2 = $true )
& ( emptysetimpfalse = $true )
& ( contrasubsetT2 = $true )
& ( setadjoinIL = $true )
& ( funcGraphProp3 = $true )
& ( upairsetIL = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairsurjEq = $true )
& ( upairset2IR = $true )
& ( upairset2E = $true )
& ( setunionI = $true )
& ( kpairp = $true )
& ( singletonsubset = $true )
& ( woz13rule1 = $true )
& ( exuE3e = $true )
& ( powersetE = $true )
& ( lam2lamEq = $true )
& ( binunionRsub = $true )
& ( setunionAx = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( brelnall2 = $true )
& ( subsetE = $true )
& ( woz1_4 = $true )
& ( exuEu = $true )
& ( vacuousDall = $true )
& ( iffalse = $true )
& ( setunionsingleton2 = $true )
& ( singletonprop = $true )
& ( setminusI = $true )
& ( dpsetconstrI = $true )
& ( woz1_3 = $true )
& ( nonemptyI = $true )
& ( foundationAx = $true )
& ( cartprodsndin = $true )
& ( setadjoin__Cong = $true )
& ( doubleComplementEq = $true )
& ( cartprodfstin = $true )
& ( funcinfuncset = $true )
& ( ubforcartprodlem1 = $true )
& ( setukpairinjR12 = $true )
& ( complementTI1 = $true )
& ( ap2apEq1 = $true )
& ( setminusILneg = $true )
& ( binunionIL = $true )
& ( woz13rule0 = $true )
& ( quantDeMorgan2 = $true )
& ( iftrueProp2 = $true )
& ( upairsubunion = $true )
& ( ex1E1 = $true )
& ( setukpairinjL2 = $true )
& ( exuE1 = $true )
& ( secondinupair = $true )
& ( setminusSubset2 = $true )
& ( exuE3u = $true )
& ( powersetI = $true )
& ( setbeta = $true )
& ( notdexE = $true )
& ( notdallE = $true )
& ( $true
= ( in @ sK432 @ ( powerset @ sK431 ) ) )
& ( ( in @ sK433 @ ( powerset @ sK431 ) )
= $true )
& ( $true
!= ( in @ ( setminus @ sK431 @ ( binunion @ sK432 @ sK433 ) ) @ ( powerset @ ( setminus @ sK431 @ sK432 ) ) ) )
& ( complementTE1 = $true )
& ( eta1 = $true )
& ( kpairsurjEq = $true )
& ( exuI3 = $true )
& ( setadjoinSub2 = $true )
& ( notinsingleton = $true )
& ( contrasubsetT1 = $true )
& ( theeq = $true )
& ( singletoninpowunion = $true )
& ( ex1I = $true )
& ( setunionsingleton = $true )
& ( setunion__Cong = $true )
& ( iftrueorfalse = $true )
& ( dpsetconstrERa = $true )
& ( binintersectER = $true )
& ( disjointsetsI1 = $true )
& ( powersetE1 = $true )
& ( notequalI2 = $true )
& ( emptyI = $true )
& ( quantDeMorgan1 = $true )
& ( iftrueProp1 = $true )
& ( binunionT_lem = $true )
& ( ksndsingleton = $true )
& ( binintersectRsub = $true )
& ( symdiffIneg1 = $true )
& ( singletonsswitch = $true )
& ( emptyInPowerset = $true )
& ( powersetI1 = $true )
& ( setukpairinjR = $true )
& ( dsetconstrI = $true )
& ( setukpairinjL1 = $true )
& ( dsetconstrEL = $true )
& ( nonemptyI1 = $true )
& ( omegaSAx = $true )
& ( powersetTI1 = $true )
& ( demorgan2a1 = $true )
& ( binintersectT_lem = $true )
& ( emptyinunitempty = $true )
& ( subsetemptysetimpeq = $true )
& ( prop2setE = $true )
& ( subsetTrans = $true )
& ( binintersectSubset2 = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( cartprodmempair = $true )
& ( subsetRefl = $true )
& ( exuI2 = $true )
& ( descr__Cong = $true )
& ( binintersectSubset4 = $true )
& ( lam2p = $true )
& ( cartprodsndpairEq = $true )
& ( inIntersectImpInUnion2 = $true )
& ( binunionEcases = $true )
& ( lamp = $true )
& ( symdiffE = $true )
& ( apProp = $true )
& ( eqimpsubset2 = $true )
& ( setunionE = $true )
& ( cartprodmempaircEq = $true )
& ( binunionTIRcontra = $true )
& ( funcext2 = $true )
& ( complementImpComplementIntersect = $true )
& ( beta1 = $true )
& ( inCongP = $true )
& ( notinemptyset = $true )
& ( doubleComplementSub2 = $true )
& ( subsetE2 = $true )
& ( binunionLsub = $true )
& ( complementTnotintersectT = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( app = $true )
& ( funcGraphProp2 = $true )
& ( emptyinPowerset = $true )
& ( symdiffI1 = $true )
& ( omegaIndAx = $true )
& ( cartprodmempair1 = $true )
& ( binintersectTERcontra = $true )
& ( setminusERneg = $true )
& ( eta2 = $true )
& ( kfstsingleton = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setOfPairsIsBReln = $true )
& ( ex1E2 = $true )
& ( cartprodpairin = $true )
& ( dpsetconstrSub = $true )
& ( nonemptyImpWitness = $true )
& ( quantDeMorgan4 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK431,sK432,sK433]),skolemize(X0,sK431),skolemize(X1,sK432),skolemize(X2,sK433)],[f1660]) ).
thf(f1801,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true )
| ( ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) )
= $true ) )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
| ( complementUnionInPowersetComplement != $true ) )
& ( ( complementUnionInPowersetComplement = $true )
| ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
& ( ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) )
!= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) ) ) ),
inference(nnf_transformation,[],[f909]) ).
thf(f1802,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true )
| ( ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) )
= $true ) )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
| ( complementUnionInPowersetComplement != $true ) )
& ( ( complementUnionInPowersetComplement = $true )
| ? [X3: $i,X4: $i] :
( ? [X5: $i] :
( ( $true
= ( in @ X5 @ ( powerset @ X3 ) ) )
& ( ( in @ ( setminus @ X3 @ ( binunion @ X4 @ X5 ) ) @ ( powerset @ ( setminus @ X3 @ X4 ) ) )
!= $true ) )
& ( ( in @ X4 @ ( powerset @ X3 ) )
= $true ) ) ) ),
inference(rectify,[],[f1801]) ).
thf(f1803,plain,
( ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true )
| ( ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) )
= $true ) )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true ) )
| ( complementUnionInPowersetComplement != $true ) )
& ( ( complementUnionInPowersetComplement = $true )
| ( ( ( in @ sK582 @ ( powerset @ sK580 ) )
= $true )
& ( ( in @ ( setminus @ sK580 @ ( binunion @ sK581 @ sK582 ) ) @ ( powerset @ ( setminus @ sK580 @ sK581 ) ) )
!= $true )
& ( ( in @ sK581 @ ( powerset @ sK580 ) )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK580,sK581,sK582]),skolemize(X3,sK580),skolemize(X4,sK581),skolemize(X5,sK582)],[f1802]) ).
thf(f2784,plain,
( $true
!= ( in @ ( setminus @ sK431 @ ( binunion @ sK432 @ sK433 ) ) @ ( powerset @ ( setminus @ sK431 @ sK432 ) ) ) ),
inference(cnf_transformation,[],[f1661]) ).
thf(f2785,plain,
( ( in @ sK433 @ ( powerset @ sK431 ) )
= $true ),
inference(cnf_transformation,[],[f1661]) ).
thf(f2786,plain,
( $true
= ( in @ sK432 @ ( powerset @ sK431 ) ) ),
inference(cnf_transformation,[],[f1661]) ).
thf(f2924,plain,
complementUnionInPowersetComplement = $true,
inference(cnf_transformation,[],[f1661]) ).
thf(f3184,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( setminus @ X0 @ ( binunion @ X1 @ X2 ) ) @ ( powerset @ ( setminus @ X0 @ X1 ) ) )
= $true )
| ( ( in @ X1 @ ( powerset @ X0 ) )
!= $true )
| ( ( in @ X2 @ ( powerset @ X0 ) )
!= $true )
| ( complementUnionInPowersetComplement != $true ) ),
inference(cnf_transformation,[],[f1803]) ).
thf(f3889,plain,
( ( $true != $true )
| ( $true
!= ( in @ sK432 @ ( powerset @ sK431 ) ) )
| ( ( in @ sK433 @ ( powerset @ sK431 ) )
!= $true )
| ( complementUnionInPowersetComplement != $true ) ),
inference(constrained_superposition,[],[f2784,f3184]) ).
thf(f3906,plain,
( ( ( in @ sK433 @ ( powerset @ sK431 ) )
!= $true )
| ( $true
!= ( in @ sK432 @ ( powerset @ sK431 ) ) )
| ( complementUnionInPowersetComplement != $true ) ),
inference(trivial_inequality_removal,[],[f3889]) ).
thf(f3916,plain,
( ( complementUnionInPowersetComplement != $true )
| ( $true
!= ( in @ sK432 @ ( powerset @ sK431 ) ) ) ),
inference(forward_subsumption_resolution,[],[f3906,f2785]) ).
thf(f3945,plain,
( $true
!= ( in @ sK432 @ ( powerset @ sK431 ) ) ),
inference(forward_subsumption_resolution,[],[f3916,f2924]) ).
thf(f3946,plain,
$false,
inference(forward_subsumption_resolution,[],[f3945,f2786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU767^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 14:29:20 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.23/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.45 % (1322370)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.45 % (1322378)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=3269442157: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)
% 0.32/0.45 % (1322376)lrs+10_16_si=on:nwc=1.5:random_seed=1219761808:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.45 % (1322375)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=475152507:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.45 % (1322377)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3892030816:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.45 % (1322379)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2424201673:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.45 % (1322377)Instruction limit reached!
% 0.32/0.45 % (1322377)------------------------------
% 0.32/0.45 % (1322377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.45 % (1322377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.45 % (1322377)CaDiCaL version: 2.1.3
% 0.32/0.45 % (1322377)Termination reason: Instruction limit
% 0.32/0.45 % (1322377)Termination phase: shuffling
% 0.32/0.45 % (1322377)Time elapsed: 0.002 s
% 0.32/0.45 % (1322377)Peak memory usage: 10 MB
% 0.32/0.45 % (1322377)Instructions burned: 4 (million)
% 0.32/0.45 % (1322376)Instruction limit reached!
% 0.32/0.45 % (1322376)------------------------------
% 0.32/0.45 % (1322376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.45 % (1322376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.45 % (1322376)CaDiCaL version: 2.1.3
% 0.32/0.45 % (1322376)Termination reason: Instruction limit
% 0.32/0.45 % (1322376)Termination phase: shuffling
% 0.32/0.45 % (1322376)Time elapsed: 0.009 s
% 0.32/0.45 % (1322376)Peak memory usage: 10 MB
% 0.32/0.45 % (1322376)Instructions burned: 19 (million)
% 0.32/0.45 % (1322379)Instruction limit reached!
% 0.32/0.45 % (1322379)------------------------------
% 0.32/0.45 % (1322379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.45 % (1322379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.45 % (1322379)CaDiCaL version: 2.1.3
% 0.32/0.45 % (1322379)Termination reason: Instruction limit
% 0.32/0.45 % (1322379)Termination phase: shuffling
% 0.32/0.45 % (1322379)Time elapsed: 0.011 s
% 0.32/0.45 % (1322379)Peak memory usage: 10 MB
% 0.32/0.45 % (1322379)Instructions burned: 25 (million)
% 0.32/0.45 % (1322381)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.45 % (1322381)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
% 0.32/0.45 % (1322380)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1986971670:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.45 % (1322381)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=189650227:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.45 % (1322387)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1230378738:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.45 % (1322387)Instruction limit reached!
% 0.32/0.45 % (1322387)------------------------------
% 0.32/0.45 % (1322387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.45 % (1322387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.45 % (1322387)CaDiCaL version: 2.1.3
% 0.32/0.45 % (1322387)Termination reason: Instruction limit
% 0.32/0.45 % (1322387)Termination phase: shuffling
% 0.32/0.45 % (1322387)Time elapsed: 0.003 s
% 0.32/0.45 % (1322387)Peak memory usage: 10 MB
% 0.32/0.45 % (1322387)Instructions burned: 5 (million)
% 0.32/0.45 % (1322389)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.10/0.49 % (1322388)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2412001877:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.10/0.49 % (1322389)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2157661249:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.10/0.49 % (1322388)Instruction limit reached!
% 1.10/0.49 % (1322388)------------------------------
% 1.10/0.49 % (1322388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.49 % (1322388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.49 % (1322388)CaDiCaL version: 2.1.3
% 1.10/0.49 % (1322388)Termination reason: Instruction limit
% 1.10/0.49 % (1322388)Termination phase: shuffling
% 1.10/0.49 % (1322388)Time elapsed: 0.003 s
% 1.10/0.49 % (1322388)Peak memory usage: 10 MB
% 1.10/0.49 % (1322388)Instructions burned: 5 (million)
% 1.10/0.49 % (1322389)Instruction limit reached!
% 1.10/0.49 % (1322389)------------------------------
% 1.10/0.49 % (1322389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.49 % (1322389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.49 % (1322389)CaDiCaL version: 2.1.3
% 1.10/0.49 % (1322389)Termination reason: Instruction limit
% 1.10/0.49 % (1322389)Termination phase: shuffling
% 1.10/0.49 % (1322389)Time elapsed: 0.004 s
% 1.10/0.49 % (1322389)Peak memory usage: 10 MB
% 1.10/0.49 % (1322389)Instructions burned: 8 (million)
% 1.10/0.49 % (1322375)Instruction limit reached!
% 1.10/0.49 % (1322375)------------------------------
% 1.10/0.49 % (1322375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.49 % (1322375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.49 % (1322375)CaDiCaL version: 2.1.3
% 1.10/0.49 % (1322375)Termination reason: Instruction limit
% 1.10/0.49 % (1322375)Termination phase: Preprocessing 3
% 1.10/0.49 % (1322375)Time elapsed: 0.040 s
% 1.10/0.49 % (1322375)Peak memory usage: 12 MB
% 1.10/0.49 % (1322375)Instructions burned: 88 (million)
% 1.10/0.49 % (1322393)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=143548973:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.10/0.49 % (1322396)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.10/0.49 % (1322396)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.10/0.49 % (1322380)Instruction limit reached!
% 1.10/0.49 % (1322380)------------------------------
% 1.10/0.49 % (1322380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.49 % (1322380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.49 % (1322380)CaDiCaL version: 2.1.3
% 1.10/0.49 % (1322380)Termination reason: Instruction limit
% 1.10/0.49 % (1322380)Termination phase: Preprocessing 3
% 1.10/0.49 % (1322380)Time elapsed: 0.034 s
% 1.10/0.49 % (1322380)Peak memory usage: 12 MB
% 1.10/0.49 % (1322380)Instructions burned: 77 (million)
% 1.10/0.49 % (1322396)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=159635028:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.10/0.49 % (1322393)Instruction limit reached!
% 1.10/0.49 % (1322393)------------------------------
% 1.10/0.49 % (1322393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.49 % (1322393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.49 % (1322393)CaDiCaL version: 2.1.3
% 1.10/0.49 % (1322393)Termination reason: Instruction limit
% 1.10/0.49 % (1322393)Termination phase: shuffling
% 1.10/0.49 % (1322393)Time elapsed: 0.007 s
% 1.10/0.49 % (1322393)Peak memory usage: 10 MB
% 1.10/0.49 % (1322393)Instructions burned: 14 (million)
% 1.10/0.49 % (1322397)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=2830361080:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.10/0.49 % (1322398)lrs+10_1_si=on:cs=on:random_seed=3863436570:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.10/0.49 % (1322398)Instruction limit reached!
% 1.10/0.53 % (1322398)------------------------------
% 1.10/0.53 % (1322398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1322398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1322398)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1322398)Termination reason: Instruction limit
% 1.10/0.53 % (1322398)Termination phase: shuffling
% 1.10/0.53 % (1322398)Time elapsed: 0.005 s
% 1.10/0.53 % (1322398)Peak memory usage: 10 MB
% 1.10/0.53 % (1322398)Instructions burned: 9 (million)
% 1.10/0.53 % (1322396)Instruction limit reached!
% 1.10/0.53 % (1322396)------------------------------
% 1.10/0.53 % (1322396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1322396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1322396)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1322396)Termination reason: Instruction limit
% 1.10/0.53 % (1322396)Termination phase: shuffling
% 1.10/0.53 % (1322396)Time elapsed: 0.014 s
% 1.10/0.53 % (1322396)Peak memory usage: 10 MB
% 1.10/0.53 % (1322396)Instructions burned: 30 (million)
% 1.10/0.53 % (1322400)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.10/0.53 % (1322400)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=1100699621:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.10/0.53 % (1322400)Instruction limit reached!
% 1.10/0.53 % (1322400)------------------------------
% 1.10/0.53 % (1322400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1322400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1322400)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1322400)Termination reason: Instruction limit
% 1.10/0.53 % (1322400)Termination phase: shuffling
% 1.10/0.53 % (1322400)Time elapsed: 0.002 s
% 1.10/0.53 % (1322400)Peak memory usage: 10 MB
% 1.10/0.53 % (1322400)Instructions burned: 4 (million)
% 1.10/0.53 % (1322402)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3089503372:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.10/0.53 % (1322406)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1624440243:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.10/0.53 % (1322405)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3276732520:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.10/0.53 % (1322381)Instruction limit reached!
% 1.10/0.53 % (1322381)------------------------------
% 1.10/0.53 % (1322381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1322381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1322381)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1322381)Termination reason: Instruction limit
% 1.10/0.53 % (1322381)Termination phase: Property scanning
% 1.10/0.53 % (1322381)Time elapsed: 0.074 s
% 1.10/0.53 % (1322381)Peak memory usage: 12 MB
% 1.10/0.53 % (1322381)Instructions burned: 159 (million)
% 1.10/0.53 % (1322402)Instruction limit reached!
% 1.10/0.53 % (1322402)------------------------------
% 1.10/0.53 % (1322402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1322402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1322402)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1322402)Termination reason: Instruction limit
% 1.10/0.53 % (1322402)Termination phase: Property scanning
% 1.10/0.53 % (1322402)Time elapsed: 0.017 s
% 1.10/0.53 % (1322402)Peak memory usage: 11 MB
% 1.10/0.53 % (1322402)Instructions burned: 39 (million)
% 1.10/0.53 % (1322409)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2951946198:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.10/0.53 % (1322397)Instruction limit reached!
% 1.10/0.53 % (1322397)------------------------------
% 1.10/0.53 % (1322397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.53 % (1322397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.53 % (1322397)CaDiCaL version: 2.1.3
% 1.10/0.53 % (1322397)Termination reason: Instruction limit
% 1.10/0.53 % (1322397)Termination phase: Property scanning
% 1.10/0.58 % (1322397)Time elapsed: 0.037 s
% 1.10/0.58 % (1322397)Peak memory usage: 11 MB
% 1.10/0.58 % (1322397)Instructions burned: 88 (million)
% 1.10/0.58 % (1322406)Instruction limit reached!
% 1.10/0.58 % (1322406)------------------------------
% 1.10/0.58 % (1322406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.58 % (1322406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.58 % (1322406)CaDiCaL version: 2.1.3
% 1.10/0.58 % (1322406)Termination reason: Instruction limit
% 1.10/0.58 % (1322406)Termination phase: Property scanning
% 1.10/0.58 % (1322406)Time elapsed: 0.014 s
% 1.10/0.58 % (1322406)Peak memory usage: 10 MB
% 1.10/0.58 % (1322406)Instructions burned: 31 (million)
% 1.10/0.58 % (1322409)Instruction limit reached!
% 1.10/0.58 % (1322409)------------------------------
% 1.10/0.58 % (1322409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.58 % (1322409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.58 % (1322409)CaDiCaL version: 2.1.3
% 1.10/0.58 % (1322409)Termination reason: Instruction limit
% 1.10/0.58 % (1322409)Termination phase: shuffling
% 1.10/0.58 % (1322409)Time elapsed: 0.008 s
% 1.10/0.58 % (1322409)Peak memory usage: 10 MB
% 1.10/0.58 % (1322409)Instructions burned: 16 (million)
% 1.10/0.58 % (1322414)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1527536324:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.10/0.58 % (1322416)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3981601206:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.10/0.58 % (1322417)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3083203279:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.10/0.58 % (1322414)Instruction limit reached!
% 1.10/0.58 % (1322414)------------------------------
% 1.10/0.58 % (1322414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.58 % (1322414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.58 % (1322414)CaDiCaL version: 2.1.3
% 1.10/0.58 % (1322414)Termination reason: Instruction limit
% 1.10/0.58 % (1322414)Termination phase: shuffling
% 1.10/0.58 % (1322414)Time elapsed: 0.007 s
% 1.10/0.58 % (1322414)Peak memory usage: 10 MB
% 1.10/0.58 % (1322414)Instructions burned: 15 (million)
% 1.10/0.58 % (1322412)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=513190965:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.10/0.58 % (1322415)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4212322649:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.10/0.58 % (1322415)Instruction limit reached!
% 1.10/0.58 % (1322415)------------------------------
% 1.10/0.58 % (1322415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.58 % (1322415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.58 % (1322415)CaDiCaL version: 2.1.3
% 1.10/0.58 % (1322415)Termination reason: Instruction limit
% 1.10/0.58 % (1322415)Termination phase: shuffling
% 1.10/0.58 % (1322415)Time elapsed: 0.002 s
% 1.10/0.58 % (1322415)Peak memory usage: 10 MB
% 1.10/0.58 % (1322415)Instructions burned: 4 (million)
% 1.10/0.58 % (1322417)Instruction limit reached!
% 1.10/0.58 % (1322417)------------------------------
% 1.10/0.58 % (1322417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.58 % (1322417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.58 % (1322417)CaDiCaL version: 2.1.3
% 1.10/0.58 % (1322417)Termination reason: Instruction limit
% 1.10/0.58 % (1322417)Termination phase: shuffling
% 1.10/0.58 % (1322417)Time elapsed: 0.011 s
% 1.10/0.58 % (1322417)Peak memory usage: 10 MB
% 1.10/0.58 % (1322417)Instructions burned: 23 (million)
% 1.10/0.58 % (1322416)Instruction limit reached!
% 1.10/0.58 % (1322416)------------------------------
% 1.10/0.58 % (1322416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.58 % (1322416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.58 % (1322416)CaDiCaL version: 2.1.3
% 1.10/0.58 % (1322416)Termination reason: Instruction limit
% 1.10/0.58 % (1322416)Termination phase: shuffling
% 1.10/0.58 % (1322416)Time elapsed: 0.015 s
% 1.10/0.58 % (1322416)Peak memory usage: 11 MB
% 1.10/0.58 % (1322416)Instructions burned: 35 (million)
% 1.97/0.65 % (1322422)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1876415169:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.97/0.65 % (1322424)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
% 1.97/0.65 % (1322424)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.97/0.65 % (1322425)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.97/0.65 % (1322424)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=3336052757:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.97/0.65 % (1322425)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=2282758407:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.97/0.65 % (1322425)Instruction limit reached!
% 1.97/0.65 % (1322425)------------------------------
% 1.97/0.65 % (1322425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.65 % (1322426)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=1491227215:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.97/0.65 % (1322425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.65 % (1322425)CaDiCaL version: 2.1.3
% 1.97/0.65 % (1322425)Termination reason: Instruction limit
% 1.97/0.65 % (1322425)Termination phase: shuffling
% 1.97/0.65 % (1322425)Time elapsed: 0.004 s
% 1.97/0.65 % (1322425)Peak memory usage: 10 MB
% 1.97/0.65 % (1322425)Instructions burned: 8 (million)
% 1.97/0.65 % (1322424)Instruction limit reached!
% 1.97/0.65 % (1322424)------------------------------
% 1.97/0.65 % (1322424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.65 % (1322424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.65 % (1322424)CaDiCaL version: 2.1.3
% 1.97/0.65 % (1322424)Termination reason: Instruction limit
% 1.97/0.65 % (1322424)Termination phase: shuffling
% 1.97/0.65 % (1322424)Time elapsed: 0.007 s
% 1.97/0.65 % (1322424)Peak memory usage: 10 MB
% 1.97/0.65 % (1322424)Instructions burned: 15 (million)
% 1.97/0.65 % (1322378)Instruction limit reached!
% 1.97/0.65 % (1322378)------------------------------
% 1.97/0.65 % (1322378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.65 % (1322378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.65 % (1322378)CaDiCaL version: 2.1.3
% 1.97/0.65 % (1322378)Termination reason: Instruction limit
% 1.97/0.65 % (1322378)Termination phase: Saturation
% 1.97/0.65 % (1322378)Time elapsed: 0.176 s
% 1.97/0.65 % (1322378)Peak memory usage: 21 MB
% 1.97/0.65 % (1322378)Instructions burned: 635 (million)
% 1.97/0.65 % (1322426)Instruction limit reached!
% 1.97/0.65 % (1322426)------------------------------
% 1.97/0.65 % (1322426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.65 % (1322426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.65 % (1322426)CaDiCaL version: 2.1.3
% 1.97/0.65 % (1322426)Termination reason: Instruction limit
% 1.97/0.65 % (1322426)Termination phase: shuffling
% 1.97/0.65 % (1322426)Time elapsed: 0.014 s
% 1.97/0.65 % (1322426)Peak memory usage: 11 MB
% 1.97/0.65 % (1322426)Instructions burned: 32 (million)
% 1.97/0.65 % (1322422)Instruction limit reached!
% 1.97/0.65 % (1322422)------------------------------
% 1.97/0.65 % (1322422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.65 % (1322422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.65 % (1322422)CaDiCaL version: 2.1.3
% 1.97/0.65 % (1322422)Termination reason: Instruction limit
% 1.97/0.65 % (1322422)Termination phase: Preprocessing 3
% 1.97/0.65 % (1322422)Time elapsed: 0.028 s
% 1.97/0.65 % (1322422)Peak memory usage: 12 MB
% 1.97/0.65 % (1322422)Instructions burned: 61 (million)
% 1.97/0.65 % (1322431)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1371698943:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.40/0.69 % (1322432)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=954581095:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.40/0.69 % (1322431)Instruction limit reached!
% 2.40/0.69 % (1322431)------------------------------
% 2.40/0.69 % (1322431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.69 % (1322431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.69 % (1322431)CaDiCaL version: 2.1.3
% 2.40/0.69 % (1322431)Termination reason: Instruction limit
% 2.40/0.69 % (1322431)Termination phase: shuffling
% 2.40/0.69 % (1322431)Time elapsed: 0.004 s
% 2.40/0.69 % (1322431)Peak memory usage: 10 MB
% 2.40/0.69 % (1322431)Instructions burned: 8 (million)
% 2.40/0.69 % (1322434)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=500095703:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.40/0.69 % (1322432)Instruction limit reached!
% 2.40/0.69 % (1322432)------------------------------
% 2.40/0.69 % (1322432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.69 % (1322432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.69 % (1322432)CaDiCaL version: 2.1.3
% 2.40/0.69 % (1322432)Termination reason: Instruction limit
% 2.40/0.69 % (1322432)Termination phase: shuffling
% 2.40/0.69 % (1322432)Time elapsed: 0.010 s
% 2.40/0.69 % (1322432)Peak memory usage: 10 MB
% 2.40/0.69 % (1322432)Instructions burned: 23 (million)
% 2.40/0.69 % (1322433)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4016124266:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.40/0.69 % (1322435)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1710864357:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.40/0.69 % (1322405)Instruction limit reached!
% 2.40/0.69 % (1322405)------------------------------
% 2.40/0.69 % (1322405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.69 % (1322405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.69 % (1322405)CaDiCaL version: 2.1.3
% 2.40/0.69 % (1322405)Termination reason: Instruction limit
% 2.40/0.69 % (1322405)Termination phase: Saturation
% 2.40/0.69 % (1322405)Time elapsed: 0.105 s
% 2.40/0.69 % (1322405)Peak memory usage: 15 MB
% 2.40/0.69 % (1322405)Instructions burned: 250 (million)
% 2.40/0.69 % (1322438)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2311074207:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.40/0.69 % (1322433)Instruction limit reached!
% 2.40/0.69 % (1322433)------------------------------
% 2.40/0.69 % (1322433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.69 % (1322433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.69 % (1322433)CaDiCaL version: 2.1.3
% 2.40/0.69 % (1322433)Termination reason: Instruction limit
% 2.40/0.69 % (1322433)Termination phase: shuffling
% 2.40/0.69 % (1322433)Time elapsed: 0.010 s
% 2.40/0.69 % (1322433)Peak memory usage: 10 MB
% 2.40/0.69 % (1322433)Instructions burned: 22 (million)
% 2.40/0.69 % (1322443)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.40/0.69 % (1322443)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=386281982:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.40/0.69 % (1322443)Instruction limit reached!
% 2.40/0.69 % (1322443)------------------------------
% 2.40/0.69 % (1322443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.69 % (1322443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.69 % (1322443)CaDiCaL version: 2.1.3
% 2.40/0.69 % (1322443)Termination reason: Instruction limit
% 2.40/0.69 % (1322443)Termination phase: shuffling
% 2.40/0.69 % (1322443)Time elapsed: 0.004 s
% 2.40/0.69 % (1322443)Peak memory usage: 10 MB
% 2.40/0.69 % (1322443)Instructions burned: 8 (million)
% 2.40/0.69 % (1322445)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2380378697:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.40/0.69 % (1322441)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2268279915:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.49/0.79 % (1322447)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=4141365551:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.49/0.79 % (1322435)Instruction limit reached!
% 2.49/0.79 % (1322435)------------------------------
% 2.49/0.79 % (1322435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.79 % (1322435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.79 % (1322435)CaDiCaL version: 2.1.3
% 2.49/0.79 % (1322435)Termination reason: Instruction limit
% 2.49/0.79 % (1322435)Termination phase: shuffling
% 2.49/0.79 % (1322435)Time elapsed: 0.059 s
% 2.49/0.79 % (1322435)Peak memory usage: 12 MB
% 2.49/0.79 % (1322435)Instructions burned: 143 (million)
% 2.49/0.79 % (1322441)Instruction limit reached!
% 2.49/0.79 % (1322441)------------------------------
% 2.49/0.79 % (1322441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.79 % (1322441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.79 % (1322441)CaDiCaL version: 2.1.3
% 2.49/0.79 % (1322441)Termination reason: Instruction limit
% 2.49/0.79 % (1322441)Termination phase: Property scanning
% 2.49/0.79 % (1322441)Time elapsed: 0.034 s
% 2.49/0.79 % (1322441)Peak memory usage: 11 MB
% 2.49/0.79 % (1322441)Instructions burned: 43 (million)
% 2.49/0.79 % (1322451)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.49/0.79 % (1322412)Instruction limit reached!
% 2.49/0.79 % (1322412)------------------------------
% 2.49/0.79 % (1322412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.79 % (1322412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.79 % (1322412)CaDiCaL version: 2.1.3
% 2.49/0.79 % (1322412)Termination reason: Instruction limit
% 2.49/0.79 % (1322412)Termination phase: Saturation
% 2.49/0.79 % (1322412)Time elapsed: 0.145 s
% 2.49/0.79 % (1322412)Peak memory usage: 16 MB
% 2.49/0.79 % (1322412)Instructions burned: 328 (million)
% 2.49/0.79 % (1322451)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2696146881:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.49/0.79 % (1322451)Instruction limit reached!
% 2.49/0.79 % (1322451)------------------------------
% 2.49/0.79 % (1322451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.79 % (1322451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.79 % (1322451)CaDiCaL version: 2.1.3
% 2.49/0.79 % (1322451)Termination reason: Instruction limit
% 2.49/0.79 % (1322451)Termination phase: shuffling
% 2.49/0.79 % (1322451)Time elapsed: 0.003 s
% 2.49/0.79 % (1322451)Peak memory usage: 10 MB
% 2.49/0.79 % (1322451)Instructions burned: 7 (million)
% 2.49/0.79 % (1322438)Instruction limit reached!
% 2.49/0.79 % (1322438)------------------------------
% 2.49/0.79 % (1322438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.79 % (1322438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.79 % (1322438)CaDiCaL version: 2.1.3
% 2.49/0.79 % (1322438)Termination reason: Instruction limit
% 2.49/0.79 % (1322438)Termination phase: Saturation
% 2.49/0.79 % (1322438)Time elapsed: 0.078 s
% 2.49/0.79 % (1322438)Peak memory usage: 13 MB
% 2.49/0.79 % (1322438)Instructions burned: 193 (million)
% 2.49/0.79 % (1322452)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2441362834:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.49/0.79 % (1322454)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1811043002:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.49/0.79 % (1322455)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=3545283528:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.49/0.79 % (1322445)Instruction limit reached!
% 2.49/0.79 % (1322445)------------------------------
% 2.49/0.79 % (1322445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.79 % (1322445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.89 % (1322445)CaDiCaL version: 2.1.3
% 3.04/0.89 % (1322445)Termination reason: Instruction limit
% 3.04/0.89 % (1322445)Termination phase: Saturation
% 3.04/0.89 % (1322445)Time elapsed: 0.075 s
% 3.04/0.89 % (1322445)Peak memory usage: 13 MB
% 3.04/0.89 % (1322445)Instructions burned: 182 (million)
% 3.04/0.89 % (1322452)Instruction limit reached!
% 3.04/0.89 % (1322452)------------------------------
% 3.04/0.89 % (1322452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.04/0.89 % (1322452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.89 % (1322452)CaDiCaL version: 2.1.3
% 3.04/0.89 % (1322452)Termination reason: Instruction limit
% 3.04/0.89 % (1322452)Termination phase: shuffling
% 3.04/0.89 % (1322452)Time elapsed: 0.013 s
% 3.04/0.89 % (1322452)Peak memory usage: 10 MB
% 3.04/0.89 % (1322452)Instructions burned: 22 (million)
% 3.04/0.89 % (1322456)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=1532902448:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.04/0.89 % (1322454)Instruction limit reached!
% 3.04/0.89 % (1322454)------------------------------
% 3.04/0.89 % (1322454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.04/0.89 % (1322454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.89 % (1322454)CaDiCaL version: 2.1.3
% 3.04/0.89 % (1322454)Termination reason: Instruction limit
% 3.04/0.89 % (1322454)Termination phase: shuffling
% 3.04/0.89 % (1322454)Time elapsed: 0.009 s
% 3.04/0.89 % (1322454)Peak memory usage: 10 MB
% 3.04/0.89 % (1322454)Instructions burned: 21 (million)
% 3.04/0.89 % (1322447)Instruction limit reached!
% 3.04/0.89 % (1322447)------------------------------
% 3.04/0.89 % (1322447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.04/0.89 % (1322447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.89 % (1322447)CaDiCaL version: 2.1.3
% 3.04/0.89 % (1322447)Termination reason: Instruction limit
% 3.04/0.89 % (1322447)Termination phase: Property scanning
% 3.04/0.89 % (1322447)Time elapsed: 0.069 s
% 3.04/0.89 % (1322447)Peak memory usage: 12 MB
% 3.04/0.89 % (1322447)Instructions burned: 169 (million)
% 3.04/0.89 % (1322460)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=873250924:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.04/0.89 % (1322463)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2010130280:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.04/0.89 % (1322464)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.04/0.89 % (1322464)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3549303880:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.04/0.89 % (1322461)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=742295178:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.04/0.89 % (1322463)Instruction limit reached!
% 3.04/0.89 % (1322463)------------------------------
% 3.04/0.89 % (1322463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.04/0.89 % (1322463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.89 % (1322463)CaDiCaL version: 2.1.3
% 3.04/0.89 % (1322463)Termination reason: Instruction limit
% 3.04/0.89 % (1322463)Termination phase: shuffling
% 3.04/0.89 % (1322463)Time elapsed: 0.010 s
% 3.04/0.89 % (1322463)Peak memory usage: 10 MB
% 3.04/0.89 % (1322463)Instructions burned: 22 (million)
% 3.04/0.89 % (1322460)Instruction limit reached!
% 3.04/0.89 % (1322460)------------------------------
% 3.04/0.89 % (1322460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.04/0.89 % (1322460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.89 % (1322460)CaDiCaL version: 2.1.3
% 3.04/0.89 % (1322460)Termination reason: Instruction limit
% 3.04/0.89 % (1322460)Termination phase: Property scanning
% 3.42/0.98 % (1322460)Time elapsed: 0.020 s
% 3.42/0.98 % (1322460)Peak memory usage: 11 MB
% 3.42/0.98 % (1322460)Instructions burned: 46 (million)
% 3.42/0.98 % (1322469)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2204124103:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.42/0.98 % (1322470)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=648857608:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.42/0.98 % (1322469)Instruction limit reached!
% 3.42/0.98 % (1322469)------------------------------
% 3.42/0.98 % (1322469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322469)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322469)Termination reason: Instruction limit
% 3.42/0.98 % (1322469)Termination phase: shuffling
% 3.42/0.98 % (1322469)Time elapsed: 0.006 s
% 3.42/0.98 % (1322469)Peak memory usage: 10 MB
% 3.42/0.98 % (1322469)Instructions burned: 13 (million)
% 3.42/0.98 % (1322473)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=396827289:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.42/0.98 % (1322470)Instruction limit reached!
% 3.42/0.98 % (1322470)------------------------------
% 3.42/0.98 % (1322470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322470)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322470)Termination reason: Instruction limit
% 3.42/0.98 % (1322470)Termination phase: Property scanning
% 3.42/0.98 % (1322470)Time elapsed: 0.029 s
% 3.42/0.98 % (1322470)Peak memory usage: 11 MB
% 3.42/0.98 % (1322470)Instructions burned: 68 (million)
% 3.42/0.98 % (1322473)Instruction limit reached!
% 3.42/0.98 % (1322473)------------------------------
% 3.42/0.98 % (1322473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322473)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322473)Termination reason: Instruction limit
% 3.42/0.98 % (1322473)Termination phase: Property scanning
% 3.42/0.98 % (1322473)Time elapsed: 0.023 s
% 3.42/0.98 % (1322473)Peak memory usage: 11 MB
% 3.42/0.98 % (1322473)Instructions burned: 51 (million)
% 3.42/0.98 % (1322475)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1548169348:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.42/0.98 % (1322464)Instruction limit reached!
% 3.42/0.98 % (1322464)------------------------------
% 3.42/0.98 % (1322464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322464)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322464)Termination reason: Instruction limit
% 3.42/0.98 % (1322464)Termination phase: Saturation
% 3.42/0.98 % (1322464)Time elapsed: 0.085 s
% 3.42/0.98 % (1322464)Peak memory usage: 14 MB
% 3.42/0.98 % (1322464)Instructions burned: 201 (million)
% 3.42/0.98 % (1322475)Instruction limit reached!
% 3.42/0.98 % (1322475)------------------------------
% 3.42/0.98 % (1322475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322475)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322475)Termination reason: Instruction limit
% 3.42/0.98 % (1322475)Termination phase: shuffling
% 3.42/0.98 % (1322475)Time elapsed: 0.014 s
% 3.42/0.98 % (1322475)Peak memory usage: 10 MB
% 3.42/0.98 % (1322475)Instructions burned: 31 (million)
% 3.42/0.98 % (1322476)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=364790796:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.42/0.98 % (1322478)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=2816663007:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.42/0.98 % (1322455)Instruction limit reached!
% 3.42/0.98 % (1322455)------------------------------
% 3.42/0.98 % (1322455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322455)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322455)Termination reason: Instruction limit
% 3.42/0.98 % (1322455)Termination phase: Saturation
% 3.42/0.98 % (1322455)Time elapsed: 0.141 s
% 3.42/0.98 % (1322455)Peak memory usage: 16 MB
% 3.42/0.98 % (1322455)Instructions burned: 317 (million)
% 3.42/0.98 % (1322479)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1232493191:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.42/0.98 % (1322478)Instruction limit reached!
% 3.42/0.98 % (1322478)------------------------------
% 3.42/0.98 % (1322478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322478)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322478)Termination reason: Instruction limit
% 3.42/0.98 % (1322478)Termination phase: shuffling
% 3.42/0.98 % (1322478)Time elapsed: 0.016 s
% 3.42/0.98 % (1322478)Peak memory usage: 11 MB
% 3.42/0.98 % (1322478)Instructions burned: 36 (million)
% 3.42/0.98 % (1322483)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.42/0.98 % (1322483)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=635254478:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.42/0.98 % (1322484)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4035209559:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.42/0.98 % (1322479)Instruction limit reached!
% 3.42/0.98 % (1322479)------------------------------
% 3.42/0.98 % (1322479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322479)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322479)Termination reason: Instruction limit
% 3.42/0.98 % (1322479)Termination phase: Property scanning
% 3.42/0.98 % (1322479)Time elapsed: 0.029 s
% 3.42/0.98 % (1322479)Peak memory usage: 11 MB
% 3.42/0.98 % (1322479)Instructions burned: 67 (million)
% 3.42/0.98 % (1322476)Instruction limit reached!
% 3.42/0.98 % (1322476)------------------------------
% 3.42/0.98 % (1322476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322476)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322476)Termination reason: Instruction limit
% 3.42/0.98 % (1322476)Termination phase: Twee Goal Transformation
% 3.42/0.98 % (1322476)Time elapsed: 0.058 s
% 3.42/0.98 % (1322476)Peak memory usage: 12 MB
% 3.42/0.98 % (1322476)Instructions burned: 139 (million)
% 3.42/0.98 % (1322487)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3480537283:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.42/0.98 % (1322434)Instruction limit reached!
% 3.42/0.98 % (1322434)------------------------------
% 3.42/0.98 % (1322434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322434)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322434)Termination reason: Instruction limit
% 3.42/0.98 % (1322434)Termination phase: Saturation
% 3.42/0.98 % (1322434)Time elapsed: 0.310 s
% 3.42/0.98 % (1322434)Peak memory usage: 20 MB
% 3.42/0.98 % (1322434)Instructions burned: 1241 (million)
% 3.42/0.98 % (1322488)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=434363478:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.42/0.98 % (1322490)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3123878477:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.42/0.98 % (1322487)Instruction limit reached!
% 3.42/0.98 % (1322487)------------------------------
% 3.42/0.98 % (1322487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322487)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322487)Termination reason: Instruction limit
% 3.42/0.98 % (1322487)Termination phase: Property scanning
% 3.42/0.98 % (1322487)Time elapsed: 0.041 s
% 3.42/0.98 % (1322487)Peak memory usage: 12 MB
% 3.42/0.98 % (1322487)Instructions burned: 97 (million)
% 3.42/0.98 % (1322483)Instruction limit reached!
% 3.42/0.98 % (1322483)------------------------------
% 3.42/0.98 % (1322483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322483)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322483)Termination reason: Instruction limit
% 3.42/0.98 % (1322483)Termination phase: Saturation
% 3.42/0.98 % (1322483)Time elapsed: 0.074 s
% 3.42/0.98 % (1322483)Peak memory usage: 13 MB
% 3.42/0.98 % (1322483)Instructions burned: 180 (million)
% 3.42/0.98 % (1322493)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1532249897:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.42/0.98 % (1322494)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3265292451:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.42/0.98 % (1322484)Instruction limit reached!
% 3.42/0.98 % (1322484)------------------------------
% 3.42/0.98 % (1322484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322484)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322484)Termination reason: Instruction limit
% 3.42/0.98 % (1322484)Termination phase: Saturation
% 3.42/0.98 % (1322484)Time elapsed: 0.105 s
% 3.42/0.98 % (1322484)Peak memory usage: 14 MB
% 3.42/0.98 % (1322484)Instructions burned: 247 (million)
% 3.42/0.98 % (1322497)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1424659653:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 3.42/0.98 % (1322494)Instruction limit reached!
% 3.42/0.98 % (1322494)------------------------------
% 3.42/0.98 % (1322494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322494)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322494)Termination reason: Instruction limit
% 3.42/0.98 % (1322494)Termination phase: Property scanning
% 3.42/0.98 % (1322494)Time elapsed: 0.055 s
% 3.42/0.98 % (1322494)Peak memory usage: 11 MB
% 3.42/0.98 % (1322494)Instructions burned: 132 (million)
% 3.42/0.98 % (1322461) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1322370-1322461"...
% 3.42/0.98 % (1322497)Instruction limit reached!
% 3.42/0.98 % (1322497)------------------------------
% 3.42/0.98 % (1322497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322497)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322497)Termination reason: Instruction limit
% 3.42/0.98 % (1322497)Termination phase: Property scanning
% 3.42/0.98 % (1322497)Time elapsed: 0.019 s
% 3.42/0.98 % (1322497)Peak memory usage: 11 MB
% 3.42/0.98 % (1322497)Instructions burned: 45 (million)
% 3.42/0.98 % (1322461)...printing done.
% 3.42/0.98 % (1322461)Refutation found. Thanks to Tanya!
% 3.42/0.98 % SZS status Theorem for theBenchmark
% 3.42/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 3.42/0.98 % (1322461)------------------------------
% 3.42/0.98 % (1322461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.42/0.98 % (1322461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.98 % (1322461)CaDiCaL version: 2.1.3
% 3.42/0.98 % (1322461)Termination reason: Refutation
% 3.42/0.98 % (1322461)Time elapsed: 0.289 s
% 3.42/0.98 % (1322461)Peak memory usage: 18 MB
% 3.42/0.98 % (1322461)Instructions burned: 334 (million)
% 3.42/0.98 % (1322370)Success in time 0.676 s
% 3.42/0.98 % Vampire exiting
%------------------------------------------------------------------------------