%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU808^1 : 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 : n026.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 08:31:34 AM UTC 2026
% Result : Theorem 5.59s 1.28s
% Output : Refutation 5.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 5003 (1325 equ; 0 cnn)
% Maximal formula atoms : 328 ( 185 avg)
% Number of connectives : 2411 ( 10 ~; 2 |; 975 &; 114 @)
% ( 0 <=>;1307 =>; 0 <=; 0 <~>)
% Maximal formula depth : 331 ( 86 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 534 ( 530 usr; 329 con; 0-6 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 19 ( 8 ^; 9 !; 2 ?; 19 :)
% 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_322,type,
woz1_5: $o ).
thf(func_def_323,type,
breln1: $i > $i > $o ).
thf(func_def_324,type,
breln1all2: $o ).
thf(func_def_325,type,
breln1Set: $i > $i ).
thf(func_def_326,type,
breln1SetBreln1: $o ).
thf(func_def_327,type,
transitive: $i > $i > $o ).
thf(func_def_328,type,
antisymmetric: $i > $i > $o ).
thf(func_def_329,type,
reflexive: $i > $i > $o ).
thf(func_def_330,type,
refltransitive: $i > $i > $o ).
thf(func_def_331,type,
refllinearorder: $i > $i > $o ).
thf(func_def_332,type,
reflwellordering: $i > $i > $o ).
thf(func_def_333,type,
choice2fnsingleton: $o ).
thf(func_def_334,type,
setOfPairsIsBReln1: $o ).
thf(func_def_335,type,
breln1all1: $o ).
thf(func_def_336,type,
subbreln1: $o ).
thf(func_def_337,type,
eqbreln1: $o ).
thf(func_def_338,type,
breln1invset: $i > $i > $i ).
thf(func_def_339,type,
breln1invprop: $o ).
thf(func_def_340,type,
breln1invI: $o ).
thf(func_def_341,type,
breln1invE: $o ).
thf(func_def_342,type,
breln1compset: $i > $i > $i > $i ).
thf(func_def_343,type,
breln1compprop: $o ).
thf(func_def_344,type,
breln1compI: $o ).
thf(func_def_345,type,
breln1compE: $o ).
thf(func_def_346,type,
breln1compEex: $o ).
thf(func_def_347,type,
breln1unionprop: $o ).
thf(func_def_348,type,
breln1unionIL: $o ).
thf(func_def_349,type,
breln1unionIR: $o ).
thf(func_def_350,type,
breln1unionI: $o ).
thf(func_def_351,type,
breln1unionE: $o ).
thf(func_def_352,type,
breln1unionEcases: $o ).
thf(func_def_353,type,
breln1unionCommutes: $o ).
thf(func_def_354,type,
woz2Ex: $o ).
thf(func_def_355,type,
woz2W: $o ).
thf(func_def_356,type,
woz2A: $o ).
thf(func_def_357,type,
woz2B: $o ).
thf(func_def_358,type,
image1Ex: $o ).
thf(func_def_359,type,
image1Ex1: $o ).
thf(func_def_360,type,
image1: $i > ( $i > $i ) > $i ).
thf(func_def_361,type,
image1Equiv: $o ).
thf(func_def_362,type,
image1E: $o ).
thf(func_def_363,type,
image1I: $o ).
thf(func_def_364,type,
injective: $i > $i > $i > $o ).
thf(func_def_365,type,
injFuncSet: $i > $i > $i ).
thf(func_def_366,type,
injFuncInInjFuncSet: $o ).
thf(func_def_367,type,
injFuncSetFuncIn: $o ).
thf(func_def_368,type,
injFuncSetFuncInj: $o ).
thf(func_def_369,type,
surjective: $i > $i > $i > $o ).
thf(func_def_370,type,
surjFuncSet: $i > $i > $i ).
thf(func_def_371,type,
surjFuncSetFuncIn: $o ).
thf(func_def_372,type,
surjFuncSetFuncSurj: $o ).
thf(func_def_373,type,
leftInvIsSurj: $o ).
thf(func_def_374,type,
surjCantorThm: $o ).
thf(func_def_375,type,
foundation2: $o ).
thf(func_def_376,type,
notinself: $o ).
thf(func_def_377,type,
notinself2: $o ).
thf(func_def_378,type,
omegaS: $i > $i ).
thf(func_def_379,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_380,type,
vIMP: $o > $o > $o ).
thf(func_def_381,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_382,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_383,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_384,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_385,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_386,type,
vNOT: $o > $o ).
thf(func_def_387,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_388,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_389,type,
vAND: $o > $o > $o ).
thf(func_def_390,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_391,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_392,type,
vIFF: $o > $o > $o ).
thf(func_def_393,type,
vOR: $o > $o > $o ).
thf(func_def_394,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_398,type,
sK1: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_399,type,
sK2: ( $i > $o ) > $i > $i > $i ).
thf(func_def_400,type,
sK3: ( $i > $o ) > $i > $i > $i ).
thf(func_def_401,type,
sK4: $i > $i > $i > $i > $i > $i ).
thf(func_def_402,type,
sK5: $i > ( $i > $i ) > $i > $i ).
thf(func_def_403,type,
sK6: $i > $i > $i > $i ).
thf(func_def_404,type,
sK7: ( $i > $o ) > $i > $i ).
thf(func_def_405,type,
sK8: $i > ( $i > $o ) > $i ).
thf(func_def_406,type,
sK9: $i > $i > $i ).
thf(func_def_407,type,
sK10: ( $i > $o ) > $i ).
thf(func_def_408,type,
sK11: ( $i > $o ) > $i > $i ).
thf(func_def_409,type,
sK12: ( $i > $o ) > $i ).
thf(func_def_410,type,
sK13: ( $i > $o ) > $i > $i ).
thf(func_def_411,type,
sK14: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_412,type,
sK15: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_413,type,
sK16: ( $i > $o ) > $i ).
thf(func_def_414,type,
sK17: ( $i > $o ) > $i > $i ).
thf(func_def_415,type,
sK18: ( $i > $o ) > $i > $i ).
thf(func_def_416,type,
sK19: ( $i > $o ) > $i ).
thf(func_def_417,type,
sK20: ( $i > $o ) > $i > $i ).
thf(func_def_418,type,
sK21: ( $i > $o ) > $i > $i ).
thf(func_def_419,type,
sK22: ( $i > $o ) > $i ).
thf(func_def_420,type,
sK23: ( $i > $o ) > $i > $i ).
thf(func_def_421,type,
sK24: ( $i > $o ) > $i ).
thf(func_def_422,type,
sK25: ( $i > $o ) > $i > $i ).
thf(func_def_423,type,
sK26: ( $i > $o ) > $i ).
thf(func_def_424,type,
sK27: ( $i > $o ) > $i > $i ).
thf(func_def_425,type,
sK28: ( $i > $o ) > $i > $i ).
thf(func_def_426,type,
sK29: ( $i > $o ) > $i ).
thf(func_def_427,type,
sK30: ( $i > $o ) > $i > $i ).
thf(func_def_428,type,
sK31: $i > ( $i > $o ) > $i > $i ).
thf(func_def_429,type,
sK32: $i > ( $i > $o ) > $i > $i ).
thf(func_def_430,type,
sK33: $i > $i > $i > ( $i > $o ) > $i ).
thf(func_def_431,type,
sK34: $i > $i > ( $i > $o ) > $i > $i ).
thf(func_def_432,type,
sK35: ( $i > $o ) > $i > $i ).
thf(func_def_433,type,
sK36: $i > ( $i > $i ) > $i > $i ).
thf(func_def_434,type,
sK37: $i > $i ).
thf(func_def_435,type,
sK38: $i > $i ).
thf(func_def_436,type,
sK39: $i > $i > $i > $i ).
thf(func_def_437,type,
sK40: $i > $i > $i ).
thf(func_def_438,type,
sK41: $i > $i > $i ).
thf(func_def_439,type,
sK42: $i > $i > $i ).
thf(func_def_440,type,
sK43: $i > $i > $i ).
thf(func_def_441,type,
sK44: $i > ( $i > $o ) > $i ).
thf(func_def_442,type,
sK45: $i > $i > $i ).
thf(func_def_443,type,
sK46: $i > $i > $i > $i ).
thf(func_def_444,type,
sK47: $i > $i > $i > $i ).
thf(func_def_445,type,
sK48: $i > $i > $i > $i ).
thf(func_def_446,type,
sK49: $i > $i > $i > $i ).
thf(func_def_447,type,
sK50: $i > $i ).
thf(func_def_448,type,
sK51: $i > $i > $i ).
thf(func_def_449,type,
sK52: $i > $i > ( $i > $i ) > $i ).
thf(func_def_450,type,
sK53: ( $i > $o ) > $i ).
thf(func_def_451,type,
sK54: ( $i > $o ) > $i > $i ).
thf(func_def_452,type,
sK55: ( $i > $o ) > $i > $i ).
thf(func_def_453,type,
sK56: $i > $i ).
thf(func_def_454,type,
sK57: $i > $i > $i > $i > $i ).
thf(func_def_455,type,
sK58: $i > $i > $i > $i > $i ).
thf(func_def_456,type,
sK59: $i > ( $i > $i ) > $i ).
thf(func_def_457,type,
sK60: $i > ( $i > $i ) > $i > $i ).
thf(func_def_458,type,
sK61: $i > ( $i > $i ) > $i > $i ).
thf(func_def_459,type,
sK62: $i > ( $i > $i ) > $i > $i ).
thf(func_def_460,type,
sK63: $i > $i ).
thf(func_def_461,type,
sK64: $i > $i > $i ).
thf(func_def_462,type,
sK65: ( $i > $o ) > $i ).
thf(func_def_463,type,
sK66: ( $i > $o ) > $i > $i ).
thf(func_def_464,type,
sK67: ( $i > $i > $o ) > $i > $i ).
thf(func_def_465,type,
sK68: ( $i > $i > $o ) > $i > $i ).
thf(func_def_466,type,
sK69: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_467,type,
sK70: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_468,type,
sK71: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_469,type,
sK72: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_470,type,
sK73: $i > ( $i > $o ) > $i ).
thf(func_def_471,type,
sK74: $i > $i > $i > $i > $i ).
thf(func_def_472,type,
sK75: $i > ( $i > $o ) > $i ).
thf(func_def_473,type,
sK76: $i > ( $i > $o ) > $i ).
thf(func_def_474,type,
sK77: $i > ( $i > $o ) > $i ).
thf(func_def_475,type,
sK78: $i > $i > $i > $i ).
thf(func_def_476,type,
sK79: ( $i > $o ) > $i > $i ).
thf(func_def_477,type,
sK80: $i > $o > $i > $i ).
thf(func_def_478,type,
sK81: $i > $i > ( $i > $i ) > $i ).
thf(func_def_479,type,
sK82: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_480,type,
sK83: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_481,type,
sK84: ( $i > $o ) > $i > $i ).
thf(func_def_482,type,
sK85: ( $i > $o ) > $i > $i ).
thf(func_def_483,type,
sK86: $i > $i ).
thf(func_def_484,type,
sK87: $i > $i > $i ).
thf(func_def_485,type,
sK88: $i > $i > $i ).
thf(func_def_486,type,
sK89: $i > $i > $i ).
thf(func_def_487,type,
sK90: $i > $i > ( $i > $o ) > $i ).
thf(func_def_488,type,
sK91: $i > $i ).
thf(func_def_489,type,
sK92: ( $i > $o ) > $i > $i ).
thf(func_def_490,type,
sK93: $i > $i > ( $i > $i ) > $i ).
thf(func_def_491,type,
sK94: $i > $i > $i ).
thf(func_def_492,type,
sK95: ( $i > $o ) > $i > $i ).
thf(func_def_493,type,
sK96: ( $i > $o ) > $i > $i ).
thf(func_def_494,type,
sK97: $i > $i > ( $i > $i ) > $i ).
thf(func_def_495,type,
sK98: ( $i > $o ) > $i > $i ).
thf(func_def_496,type,
sK99: $i > $i > $i ).
thf(func_def_497,type,
sK100: $i > $i > $i > $i > $i ).
thf(func_def_498,type,
sK101: ( $i > $i ) > $i > $i > $i ).
thf(func_def_499,type,
sK102: ( $i > $o ) > $i ).
thf(func_def_500,type,
sK103: ( $i > $o ) > $i ).
thf(func_def_501,type,
sK104: ( $i > $o ) > $i ).
thf(func_def_502,type,
sK105: ( $i > $o ) > $i ).
thf(func_def_503,type,
sK106: $i > $i > ( $i > $o ) > $i > $i ).
thf(func_def_504,type,
sK107: $i > $i > $i > ( $i > $o ) > $i ).
thf(func_def_505,type,
sK108: ( $i > $i ) > $i > $i > $i ).
thf(func_def_506,type,
sK109: $i > $i > $o > $i > $i > $i > $i ).
thf(func_def_507,type,
sK110: ( $i > $o ) > $i ).
thf(func_def_508,type,
sK111: ( $i > $o ) > $i > $i ).
thf(func_def_509,type,
sK112: ( $i > $o ) > $i > $i ).
thf(func_def_510,type,
sK113: $i > $i > $i > $i > $i ).
thf(func_def_511,type,
sK114: $i > ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(func_def_512,type,
sK115: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_513,type,
sK116: $i > ( $i > $i ) > $i ).
thf(func_def_514,type,
sK117: $i > $i > ( $i > $i ) > $i ).
thf(func_def_515,type,
sK118: $i > $i > $i > $i > $i ).
thf(func_def_516,type,
sK119: $i > $i > $i > $i > $i ).
thf(func_def_517,type,
sK120: $i > $i > $i > $i > $i ).
thf(func_def_518,type,
sK121: $i > $i > $i > $i > $i ).
thf(func_def_519,type,
sK122: $i > $i > $i > $i > $i ).
thf(func_def_520,type,
sK123: $i > $i > $i > $i ).
thf(func_def_521,type,
sK124: $i > $i > $i > $i ).
thf(func_def_522,type,
sK125: $i > $i > $i > $i ).
thf(func_def_523,type,
sK126: $i > $i > $i > $i ).
thf(func_def_524,type,
sK127: $i > $i > $i > $i ).
thf(func_def_525,type,
sK128: $i > $i > $i > $i ).
thf(func_def_526,type,
sK129: $i > $i > $i > $i ).
thf(func_def_527,type,
sK130: $i > $i > $i > $i ).
thf(func_def_528,type,
sK131: $i > $i ).
thf(func_def_529,type,
sK132: $i > $i > ( $i > $i ) > $i ).
thf(func_def_530,type,
sK133: $i > $i > ( $i > $i ) > $i > $i ).
thf(func_def_531,type,
sK134: $i > $i > ( $i > $i ) > $i > $i ).
thf(func_def_532,type,
sK135: ( $i > $o ) > $i > $i ).
thf(f8,axiom,
! [X0: $i] :
( ( ( in @ X0 @ omega )
=> ( in @ ( setadjoin @ X0 @ X0 ) @ omega ) )
= omegaSAx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaSAx) ).
thf(f327,axiom,
( omegaS
= ( ^ [X0: $i] : ( setadjoin @ X0 @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaS) ).
thf(f328,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
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ! [X0: $i] :
( ( in @ X0 @ omega )
=> ( in @ ( omegaS @ X0 ) @ omega ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaSp) ).
thf(f329,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
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ! [X0: $i] :
( ( in @ X0 @ omega )
=> ( in @ ( omegaS @ X0 ) @ omega ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f328]) ).
thf(f356,plain,
( omegaS
= ( ^ [Y0: $i] : ( setadjoin @ Y0 @ Y0 ) ) ),
inference(fool_elimination,[],[f327]) ).
thf(f625,plain,
! [X0: $i] :
( ( ( in @ X0 @ omega )
=> ( in @ ( setadjoin @ X0 @ X0 ) @ omega ) )
= omegaSAx ),
inference(rectify,[],[f8]) ).
thf(f626,plain,
( omegaSAx
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ omega )
=> ( in @ ( setadjoin @ Y0 @ Y0 ) @ omega ) ) ) ),
inference(fool_elimination,[],[f625]) ).
thf(f914,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
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ! [X0: $i] :
( ( in @ X0 @ omega )
=> ( in @ ( omegaS @ X0 ) @ omega ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f329]) ).
thf(f915,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 )
=> ( ( woz1_5 = $true )
=> ( ( breln1all2 = $true )
=> ( ( breln1SetBreln1 = $true )
=> ( ( choice2fnsingleton = $true )
=> ( ( setOfPairsIsBReln1 = $true )
=> ( ( breln1all1 = $true )
=> ( ( subbreln1 = $true )
=> ( ( eqbreln1 = $true )
=> ( ( breln1invprop = $true )
=> ( ( breln1invI = $true )
=> ( ( breln1invE = $true )
=> ( ( breln1compprop = $true )
=> ( ( breln1compI = $true )
=> ( ( breln1compE = $true )
=> ( ( breln1compEex = $true )
=> ( ( breln1unionprop = $true )
=> ( ( breln1unionIL = $true )
=> ( ( breln1unionIR = $true )
=> ( ( breln1unionI = $true )
=> ( ( breln1unionE = $true )
=> ( ( breln1unionEcases = $true )
=> ( ( breln1unionCommutes = $true )
=> ( ( woz2Ex = $true )
=> ( ( woz2W = $true )
=> ( ( woz2A = $true )
=> ( ( woz2B = $true )
=> ( ( image1Ex = $true )
=> ( ( image1Ex1 = $true )
=> ( ( image1Equiv = $true )
=> ( ( image1E = $true )
=> ( ( image1I = $true )
=> ( ( injFuncInInjFuncSet = $true )
=> ( ( injFuncSetFuncIn = $true )
=> ( ( injFuncSetFuncInj = $true )
=> ( ( surjFuncSetFuncIn = $true )
=> ( ( surjFuncSetFuncSurj = $true )
=> ( ( leftInvIsSurj = $true )
=> ( ( surjCantorThm = $true )
=> ( ( foundation2 = $true )
=> ( ( notinself = $true )
=> ( ( notinself2 = $true )
=> ! [X0: $i] :
( ( ( in @ X0 @ omega )
= $true )
=> ( ( in @ ( omegaS @ X0 ) @ omega )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f914]) ).
thf(f975,plain,
( ? [X0: $i] :
( ( ( in @ X0 @ omega )
= $true )
& ( ( in @ ( omegaS @ X0 ) @ omega )
!= $true ) )
& ( notinself2 = $true )
& ( notinself = $true )
& ( foundation2 = $true )
& ( surjCantorThm = $true )
& ( leftInvIsSurj = $true )
& ( surjFuncSetFuncSurj = $true )
& ( surjFuncSetFuncIn = $true )
& ( injFuncSetFuncInj = $true )
& ( injFuncSetFuncIn = $true )
& ( injFuncInInjFuncSet = $true )
& ( image1I = $true )
& ( image1E = $true )
& ( image1Equiv = $true )
& ( image1Ex1 = $true )
& ( image1Ex = $true )
& ( woz2B = $true )
& ( woz2A = $true )
& ( woz2W = $true )
& ( woz2Ex = $true )
& ( breln1unionCommutes = $true )
& ( breln1unionEcases = $true )
& ( breln1unionE = $true )
& ( breln1unionI = $true )
& ( breln1unionIR = $true )
& ( breln1unionIL = $true )
& ( breln1unionprop = $true )
& ( breln1compEex = $true )
& ( breln1compE = $true )
& ( breln1compI = $true )
& ( breln1compprop = $true )
& ( breln1invE = $true )
& ( breln1invI = $true )
& ( breln1invprop = $true )
& ( eqbreln1 = $true )
& ( subbreln1 = $true )
& ( breln1all1 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( choice2fnsingleton = $true )
& ( breln1SetBreln1 = $true )
& ( breln1all2 = $true )
& ( woz1_5 = $true )
& ( 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,[],[f915]) ).
thf(f976,plain,
( ( subPowSU = $true )
& ( complementImpComplementIntersect = $true )
& ( prop2setI = $true )
& ( funcext2 = $true )
& ( setukpairIR = $true )
& ( setukpairinjL1 = $true )
& ( subsetTrans = $true )
& ( kpairsurjEq = $true )
& ( quantDeMorgan4 = $true )
& ( subsetE = $true )
& ( demorgan2b2 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( breln1unionCommutes = $true )
& ( surjFuncSetFuncSurj = $true )
& ( inIntersectImpInUnion = $true )
& ( iftrueorfalse = $true )
& ( symdiffI2 = $true )
& ( setminusER = $true )
& ( binunionE = $true )
& ( cartprodpairsurjEq = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrEL2 = $true )
& ( image1E = $true )
& ( upairsubunion = $true )
& ( dpsetconstrERa = $true )
& ( ex1E1 = $true )
& ( lam2p = $true )
& ( image1Equiv = $true )
& ( symdiffE = $true )
& ( image1I = $true )
& ( woz2A = $true )
& ( setminusSubset1 = $true )
& ( nonemptyImpWitness = $true )
& ( breln1unionprop = $true )
& ( setukpairinjR = $true )
& ( ex1I2 = $true )
& ( iftrueProp1 = $true )
& ( subsetE2 = $true )
& ( subsetRefl = $true )
& ( powersetT_lem = $true )
& ( cartprodpairmemEL = $true )
& ( exu__Cong = $true )
& ( symdiffI1 = $true )
& ( setextsub = $true )
& ( woz13rule4 = $true )
& ( kfstpairEq = $true )
& ( choice2fnsingleton = $true )
& ( notdallE = $true )
& ( notsubsetI = $true )
& ( doubleComplementI1 = $true )
& ( complementTcontraSubset = $true )
& ( setunion__Cong = $true )
& ( binintersectT_lem = $true )
& ( ap2apEq1 = $true )
& ( funcextLem = $true )
& ( demorgan1b = $true )
& ( emptyE1 = $true )
& ( funcext = $true )
& ( binintersectSubset3 = $true )
& ( binintersectI = $true )
& ( demorgan2b = $true )
& ( demorgan1a = $true )
& ( descrp = $true )
& ( in__Cong = $true )
& ( cartprodmempair = $true )
& ( exuI1 = $true )
& ( complementTE1 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( breln1invE = $true )
& ( subbreln = $true )
& ( notinself2 = $true )
& ( image1Ex = $true )
& ( theprop = $true )
& ( lamProp = $true )
& ( quantDeMorgan2 = $true )
& ( setunionsingleton1 = $true )
& ( breln1invI = $true )
& ( infuncsetfunc = $true )
& ( setminusT_lem = $true )
& ( funcinfuncset = $true )
& ( powersetE = $true )
& ( funcGraphProp2 = $true )
& ( iffalseProp2 = $true )
& ( exuE2 = $true )
& ( setadjoinSub = $true )
& ( omega0Ax = $true )
& ( surjCantorThm = $true )
& ( ap2apEq2 = $true )
& ( upairsetIL = $true )
& ( dsetconstr__Cong = $true )
& ( emptysetsubset = $true )
& ( setunionE2 = $true )
& ( kfstsingleton = $true )
& ( symdiffIneg1 = $true )
& ( cartprodfstpairEq = $true )
& ( setadjoinIL = $true )
& ( ifSingleton = $true )
& ( woz2W = $true )
& ( cartprodsndpairEq = $true )
& ( theeq = $true )
& ( doubleComplementSub2 = $true )
& ( vacuousDall = $true )
& ( breln1SetBreln1 = $true )
& ( binintersectRsub = $true )
& ( breln1unionEcases = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( exuI3 = $true )
& ( prop2setE = $true )
& ( setadjoinIR = $true )
& ( upairequniteq = $true )
& ( binunionTEcontra = $true )
& ( foundationAx = $true )
& ( upairinpowunion = $true )
& ( eqbreln1 = $true )
& ( setextT = $true )
& ( binunionTIRcontra = $true )
& ( breln1all2 = $true )
& ( dsetconstrEL = $true )
& ( breln1compE = $true )
& ( doubleComplementSub1 = $true )
& ( setminusLsub = $true )
& ( ksndsingleton = $true )
& ( setadjoinSub2 = $true )
& ( contraSubsetComplement = $true )
& ( breln1compprop = $true )
& ( cartprodmempair1 = $true )
& ( setext = $true )
& ( exuE3u = $true )
& ( symdiffIneg2 = $true )
& ( iftrue = $true )
& ( cartprodpairmemER = $true )
& ( disjointsetsI1 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( singletoninpowunion = $true )
& ( nonemptyI = $true )
& ( ubforcartprodlem1 = $true )
& ( iffalse = $true )
& ( complementTI1 = $true )
& ( upairset2E = $true )
& ( emptysetimpfalse = $true )
& ( setunionsingleton = $true )
& ( setukpairinjL2 = $true )
& ( setminusSubset2 = $true )
& ( exuE3e = $true )
& ( setminusIRneg = $true )
& ( setbeta = $true )
& ( binunionT_lem = $true )
& ( omega__Cong = $true )
& ( descr__Cong = $true )
& ( eqbreln = $true )
& ( eqimpsubset2 = $true )
& ( omegaIndAx = $true )
& ( doubleComplementE1 = $true )
& ( exuE1 = $true )
& ( subsetI1 = $true )
& ( injFuncSetFuncInj = $true )
& ( binunionTILcontra = $true )
& ( exuEu = $true )
& ( complementTnotintersectT = $true )
& ( binintersectEL = $true )
& ( breln1unionI = $true )
& ( cartprodfstin = $true )
& ( leftInvIsSurj = $true )
& ( quantDeMorgan3 = $true )
& ( doubleComplementEq = $true )
& ( notequalI1 = $true )
& ( breln1all1 = $true )
& ( singletonsswitch = $true )
& ( powersetTE1 = $true )
& ( emptysetAx = $true )
& ( setukpairIL = $true )
& ( upairset2IR = $true )
& ( contrasubsetT2 = $true )
& ( setextAx = $true )
& ( demorgan2 = $true )
& ( eta1 = $true )
& ( exuI2 = $true )
& ( foundation2 = $true )
& ( setminusERneg = $true )
& ( powersetAx = $true )
& ( powersetsubset = $true )
& ( dpsetconstrI = $true )
& ( emptyI = $true )
& ( eqimpsubset1 = $true )
& ( uniqinunit = $true )
& ( wellorderingAx = $true )
& ( surjFuncSetFuncIn = $true )
& ( emptyinunitempty = $true )
& ( apProp = $true )
& ( woz13rule2 = $true )
& ( ubforcartprodlem2 = $true )
& ( ex1I = $true )
& ( woz1_3 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( woz2B = $true )
& ( beta1 = $true )
& ( setminusILneg = $true )
& ( cartprodpairin = $true )
& ( breln1unionIR = $true )
& ( eta2 = $true )
& ( woz1_2 = $true )
& ( contrasubsetT = $true )
& ( ksndpairEq = $true )
& ( binintersectSubset5 = $true )
& ( lamp = $true )
& ( contrasubsetT1 = $true )
& ( eqinunit = $true )
& ( beta2 = $true )
& ( binintersectTELcontra = $true )
& ( breln1unionIL = $true )
& ( woz1_1 = $true )
& ( emptyset__Cong = $true )
& ( iftrueProp2 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( dpsetconstrER = $true )
& ( powersetI1 = $true )
& ( setunionsingleton2 = $true )
& ( complementT_lem = $true )
& ( woz1_4 = $true )
& ( setukpairinjL = $true )
& ( binunionLsub = $true )
& ( breln1unionE = $true )
& ( dsetconstrI = $true )
& ( funcGraphProp4 = $true )
& ( ex1E2 = $true )
& ( demorgan2a = $true )
& ( sepSubset = $true )
& ( binintersectLsub = $true )
& ( contrasubsetT3 = $true )
& ( inCongP = $true )
& ? [X0: $i] :
( ( ( in @ X0 @ omega )
= $true )
& ( ( in @ ( omegaS @ X0 ) @ omega )
!= $true ) )
& ( breln1invprop = $true )
& ( setOfPairsIsBReln = $true )
& ( notdexE = $true )
& ( notequalI2 = $true )
& ( powerset__Cong = $true )
& ( notinself = $true )
& ( quantDeMorgan1 = $true )
& ( lam2lamEq = $true )
& ( singletonprop = $true )
& ( setunionE = $true )
& ( emptyinPowerset = $true )
& ( kpairiskpair = $true )
& ( omegaSAx = $true )
& ( powersetTI1 = $true )
& ( binunionTE = $true )
& ( app = $true )
& ( singletonsubset = $true )
& ( setadjoin__Cong = $true )
& ( ifp = $true )
& ( powersetI = $true )
& ( subset2powerset = $true )
& ( dsetconstrER = $true )
& ( breln1compI = $true )
& ( sepInPowerset = $true )
& ( subsetemptysetimpeq = $true )
& ( subsetI2 = $true )
& ( setukpairinjR1 = $true )
& ( demorgan2a2 = $true )
& ( kpairp = $true )
& ( funcGraphProp3 = $true )
& ( brelnall1 = $true )
& ( setukpairinjR2 = $true )
& ( notinemptyset = $true )
& ( woz13rule3 = $true )
& ( upairsetIR = $true )
& ( emptysetE = $true )
& ( setadjoinAx = $true )
& ( nonemptyE1 = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( setunionI = $true )
& ( funcGraphProp1 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( setoftrueEq = $true )
& ( setminusI = $true )
& ( injFuncSetFuncIn = $true )
& ( injFuncInInjFuncSet = $true )
& ( brelnall2 = $true )
& ( secondinupair = $true )
& ( image1Ex1 = $true )
& ( subbreln1 = $true )
& ( dpsetconstrEL1 = $true )
& ( binintersectTERcontra = $true )
& ( replAx = $true )
& ( noeltsimpempty = $true )
& ( binintersectSubset1 = $true )
& ( iffalseProp1 = $true )
& ( powersetE1 = $true )
& ( subsetTI = $true )
& ( bs114d = $true )
& ( cartprodmempaircEq = $true )
& ( nonemptyI1 = $true )
& ( setadjoinE = $true )
& ( setunionAx = $true )
& ( ap2p = $true )
& ( setadjoinOr = $true )
& ( binintersectSubset2 = $true )
& ( binunionIR = $true )
& ( dpsetconstrSub = $true )
& ( upairsetE = $true )
& ( woz1_5 = $true )
& ( cartprodsndin = $true )
& ( binintersectSubset4 = $true )
& ( singletonsuniq = $true )
& ( setukpairinjR11 = $true )
& ( prop2set2propI = $true )
& ( binunionEcases = $true )
& ( binintersectER = $true )
& ( singletoninpowerset = $true )
& ( setukpairinjR12 = $true )
& ( notinsingleton = $true )
& ( breln1compEex = $true )
& ( setminusELneg = $true )
& ( binunionIL = $true )
& ( emptyInPowerset = $true )
& ( woz2Ex = $true )
& ( inPowerset = $true )
& ( ubforcartprodlem3 = $true )
& ( setminusEL = $true )
& ( demorgan2a1 = $true )
& ( woz13rule0 = $true )
& ( binunionRsub = $true )
& ( demorgan1 = $true )
& ( woz13rule1 = $true ) ),
inference(flattening,[],[f975]) ).
thf(f977,plain,
( ( subPowSU = $true )
& ( complementImpComplementIntersect = $true )
& ( prop2setI = $true )
& ( funcext2 = $true )
& ( setukpairIR = $true )
& ( setukpairinjL1 = $true )
& ( subsetTrans = $true )
& ( kpairsurjEq = $true )
& ( quantDeMorgan4 = $true )
& ( subsetE = $true )
& ( demorgan2b2 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( breln1unionCommutes = $true )
& ( surjFuncSetFuncSurj = $true )
& ( inIntersectImpInUnion = $true )
& ( iftrueorfalse = $true )
& ( symdiffI2 = $true )
& ( setminusER = $true )
& ( binunionE = $true )
& ( cartprodpairsurjEq = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrEL2 = $true )
& ( image1E = $true )
& ( upairsubunion = $true )
& ( dpsetconstrERa = $true )
& ( ex1E1 = $true )
& ( lam2p = $true )
& ( image1Equiv = $true )
& ( symdiffE = $true )
& ( image1I = $true )
& ( woz2A = $true )
& ( setminusSubset1 = $true )
& ( nonemptyImpWitness = $true )
& ( breln1unionprop = $true )
& ( setukpairinjR = $true )
& ( ex1I2 = $true )
& ( iftrueProp1 = $true )
& ( subsetE2 = $true )
& ( subsetRefl = $true )
& ( powersetT_lem = $true )
& ( cartprodpairmemEL = $true )
& ( exu__Cong = $true )
& ( symdiffI1 = $true )
& ( setextsub = $true )
& ( woz13rule4 = $true )
& ( kfstpairEq = $true )
& ( choice2fnsingleton = $true )
& ( notdallE = $true )
& ( notsubsetI = $true )
& ( doubleComplementI1 = $true )
& ( complementTcontraSubset = $true )
& ( setunion__Cong = $true )
& ( binintersectT_lem = $true )
& ( ap2apEq1 = $true )
& ( funcextLem = $true )
& ( demorgan1b = $true )
& ( emptyE1 = $true )
& ( funcext = $true )
& ( binintersectSubset3 = $true )
& ( binintersectI = $true )
& ( demorgan2b = $true )
& ( demorgan1a = $true )
& ( descrp = $true )
& ( in__Cong = $true )
& ( cartprodmempair = $true )
& ( exuI1 = $true )
& ( complementTE1 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( breln1invE = $true )
& ( subbreln = $true )
& ( notinself2 = $true )
& ( image1Ex = $true )
& ( theprop = $true )
& ( lamProp = $true )
& ( quantDeMorgan2 = $true )
& ( setunionsingleton1 = $true )
& ( breln1invI = $true )
& ( infuncsetfunc = $true )
& ( setminusT_lem = $true )
& ( funcinfuncset = $true )
& ( powersetE = $true )
& ( funcGraphProp2 = $true )
& ( iffalseProp2 = $true )
& ( exuE2 = $true )
& ( setadjoinSub = $true )
& ( omega0Ax = $true )
& ( surjCantorThm = $true )
& ( ap2apEq2 = $true )
& ( upairsetIL = $true )
& ( dsetconstr__Cong = $true )
& ( emptysetsubset = $true )
& ( setunionE2 = $true )
& ( kfstsingleton = $true )
& ( symdiffIneg1 = $true )
& ( cartprodfstpairEq = $true )
& ( setadjoinIL = $true )
& ( ifSingleton = $true )
& ( woz2W = $true )
& ( cartprodsndpairEq = $true )
& ( theeq = $true )
& ( doubleComplementSub2 = $true )
& ( vacuousDall = $true )
& ( breln1SetBreln1 = $true )
& ( binintersectRsub = $true )
& ( breln1unionEcases = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( exuI3 = $true )
& ( prop2setE = $true )
& ( setadjoinIR = $true )
& ( upairequniteq = $true )
& ( binunionTEcontra = $true )
& ( foundationAx = $true )
& ( upairinpowunion = $true )
& ( eqbreln1 = $true )
& ( setextT = $true )
& ( binunionTIRcontra = $true )
& ( breln1all2 = $true )
& ( dsetconstrEL = $true )
& ( breln1compE = $true )
& ( doubleComplementSub1 = $true )
& ( setminusLsub = $true )
& ( ksndsingleton = $true )
& ( setadjoinSub2 = $true )
& ( contraSubsetComplement = $true )
& ( breln1compprop = $true )
& ( cartprodmempair1 = $true )
& ( setext = $true )
& ( exuE3u = $true )
& ( symdiffIneg2 = $true )
& ( iftrue = $true )
& ( cartprodpairmemER = $true )
& ( disjointsetsI1 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( singletoninpowunion = $true )
& ( nonemptyI = $true )
& ( ubforcartprodlem1 = $true )
& ( iffalse = $true )
& ( complementTI1 = $true )
& ( upairset2E = $true )
& ( emptysetimpfalse = $true )
& ( setunionsingleton = $true )
& ( setukpairinjL2 = $true )
& ( setminusSubset2 = $true )
& ( exuE3e = $true )
& ( setminusIRneg = $true )
& ( setbeta = $true )
& ( binunionT_lem = $true )
& ( omega__Cong = $true )
& ( descr__Cong = $true )
& ( eqbreln = $true )
& ( eqimpsubset2 = $true )
& ( omegaIndAx = $true )
& ( doubleComplementE1 = $true )
& ( exuE1 = $true )
& ( subsetI1 = $true )
& ( injFuncSetFuncInj = $true )
& ( binunionTILcontra = $true )
& ( exuEu = $true )
& ( complementTnotintersectT = $true )
& ( binintersectEL = $true )
& ( breln1unionI = $true )
& ( cartprodfstin = $true )
& ( leftInvIsSurj = $true )
& ( quantDeMorgan3 = $true )
& ( doubleComplementEq = $true )
& ( notequalI1 = $true )
& ( breln1all1 = $true )
& ( singletonsswitch = $true )
& ( powersetTE1 = $true )
& ( emptysetAx = $true )
& ( setukpairIL = $true )
& ( upairset2IR = $true )
& ( contrasubsetT2 = $true )
& ( setextAx = $true )
& ( demorgan2 = $true )
& ( eta1 = $true )
& ( exuI2 = $true )
& ( foundation2 = $true )
& ( setminusERneg = $true )
& ( powersetAx = $true )
& ( powersetsubset = $true )
& ( dpsetconstrI = $true )
& ( emptyI = $true )
& ( eqimpsubset1 = $true )
& ( uniqinunit = $true )
& ( wellorderingAx = $true )
& ( surjFuncSetFuncIn = $true )
& ( emptyinunitempty = $true )
& ( apProp = $true )
& ( woz13rule2 = $true )
& ( ubforcartprodlem2 = $true )
& ( ex1I = $true )
& ( woz1_3 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( woz2B = $true )
& ( beta1 = $true )
& ( setminusILneg = $true )
& ( cartprodpairin = $true )
& ( breln1unionIR = $true )
& ( eta2 = $true )
& ( woz1_2 = $true )
& ( contrasubsetT = $true )
& ( ksndpairEq = $true )
& ( binintersectSubset5 = $true )
& ( lamp = $true )
& ( contrasubsetT1 = $true )
& ( eqinunit = $true )
& ( beta2 = $true )
& ( binintersectTELcontra = $true )
& ( breln1unionIL = $true )
& ( woz1_1 = $true )
& ( emptyset__Cong = $true )
& ( iftrueProp2 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( dpsetconstrER = $true )
& ( powersetI1 = $true )
& ( setunionsingleton2 = $true )
& ( complementT_lem = $true )
& ( woz1_4 = $true )
& ( setukpairinjL = $true )
& ( binunionLsub = $true )
& ( breln1unionE = $true )
& ( dsetconstrI = $true )
& ( funcGraphProp4 = $true )
& ( ex1E2 = $true )
& ( demorgan2a = $true )
& ( sepSubset = $true )
& ( binintersectLsub = $true )
& ( contrasubsetT3 = $true )
& ( inCongP = $true )
& ( $true
= ( in @ sK0 @ omega ) )
& ( ( in @ ( omegaS @ sK0 ) @ omega )
!= $true )
& ( breln1invprop = $true )
& ( setOfPairsIsBReln = $true )
& ( notdexE = $true )
& ( notequalI2 = $true )
& ( powerset__Cong = $true )
& ( notinself = $true )
& ( quantDeMorgan1 = $true )
& ( lam2lamEq = $true )
& ( singletonprop = $true )
& ( setunionE = $true )
& ( emptyinPowerset = $true )
& ( kpairiskpair = $true )
& ( omegaSAx = $true )
& ( powersetTI1 = $true )
& ( binunionTE = $true )
& ( app = $true )
& ( singletonsubset = $true )
& ( setadjoin__Cong = $true )
& ( ifp = $true )
& ( powersetI = $true )
& ( subset2powerset = $true )
& ( dsetconstrER = $true )
& ( breln1compI = $true )
& ( sepInPowerset = $true )
& ( subsetemptysetimpeq = $true )
& ( subsetI2 = $true )
& ( setukpairinjR1 = $true )
& ( demorgan2a2 = $true )
& ( kpairp = $true )
& ( funcGraphProp3 = $true )
& ( brelnall1 = $true )
& ( setukpairinjR2 = $true )
& ( notinemptyset = $true )
& ( woz13rule3 = $true )
& ( upairsetIR = $true )
& ( emptysetE = $true )
& ( setadjoinAx = $true )
& ( nonemptyE1 = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( setunionI = $true )
& ( funcGraphProp1 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( setoftrueEq = $true )
& ( setminusI = $true )
& ( injFuncSetFuncIn = $true )
& ( injFuncInInjFuncSet = $true )
& ( brelnall2 = $true )
& ( secondinupair = $true )
& ( image1Ex1 = $true )
& ( subbreln1 = $true )
& ( dpsetconstrEL1 = $true )
& ( binintersectTERcontra = $true )
& ( replAx = $true )
& ( noeltsimpempty = $true )
& ( binintersectSubset1 = $true )
& ( iffalseProp1 = $true )
& ( powersetE1 = $true )
& ( subsetTI = $true )
& ( bs114d = $true )
& ( cartprodmempaircEq = $true )
& ( nonemptyI1 = $true )
& ( setadjoinE = $true )
& ( setunionAx = $true )
& ( ap2p = $true )
& ( setadjoinOr = $true )
& ( binintersectSubset2 = $true )
& ( binunionIR = $true )
& ( dpsetconstrSub = $true )
& ( upairsetE = $true )
& ( woz1_5 = $true )
& ( cartprodsndin = $true )
& ( binintersectSubset4 = $true )
& ( singletonsuniq = $true )
& ( setukpairinjR11 = $true )
& ( prop2set2propI = $true )
& ( binunionEcases = $true )
& ( binintersectER = $true )
& ( singletoninpowerset = $true )
& ( setukpairinjR12 = $true )
& ( notinsingleton = $true )
& ( breln1compEex = $true )
& ( setminusELneg = $true )
& ( binunionIL = $true )
& ( emptyInPowerset = $true )
& ( woz2Ex = $true )
& ( inPowerset = $true )
& ( ubforcartprodlem3 = $true )
& ( setminusEL = $true )
& ( demorgan2a1 = $true )
& ( woz13rule0 = $true )
& ( binunionRsub = $true )
& ( demorgan1 = $true )
& ( woz13rule1 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f976]) ).
thf(f1092,plain,
( omegaS
= ( ^ [Y0: $i] : ( setadjoin @ Y0 @ Y0 ) ) ),
inference(cnf_transformation,[],[f356]) ).
thf(f1209,plain,
( omegaSAx
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ omega )
=> ( in @ ( setadjoin @ Y0 @ Y0 ) @ omega ) ) ) ),
inference(cnf_transformation,[],[f626]) ).
thf(f1371,plain,
omegaSAx = $true,
inference(cnf_transformation,[],[f977]) ).
thf(f1384,plain,
( ( in @ ( omegaS @ sK0 ) @ omega )
!= $true ),
inference(cnf_transformation,[],[f977]) ).
thf(f1385,plain,
( $true
= ( in @ sK0 @ omega ) ),
inference(cnf_transformation,[],[f977]) ).
thf(f1861,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ omega )
=> ( in @ ( setadjoin @ Y0 @ Y0 ) @ omega ) ) ) ),
inference(definition_unfolding,[],[f1209,f1371]) ).
thf(f1943,plain,
( ( in
@ ( ^ [Y0: $i] : ( setadjoin @ Y0 @ Y0 )
@ sK0 )
@ omega )
!= $true ),
inference(definition_unfolding,[],[f1384,f1092]) ).
thf(f4585,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( in @ Y0 @ omega )
=> ( in @ ( setadjoin @ Y0 @ Y0 ) @ omega ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1861]) ).
thf(f4586,plain,
! [X1: $i] :
( ( ( in @ X1 @ omega )
=> ( in @ ( setadjoin @ X1 @ X1 ) @ omega ) )
= $true ),
inference(beta-eta_normalization,[],[f4585]) ).
thf(f4587,plain,
! [X1: $i] :
( ( ( in @ ( setadjoin @ X1 @ X1 ) @ omega )
= $true )
| ( ( in @ X1 @ omega )
= $false ) ),
inference(imp_proxy_clausification,[],[f4586]) ).
thf(f5248,plain,
( $true
!= ( in @ ( setadjoin @ sK0 @ sK0 ) @ omega ) ),
inference(beta-eta_normalization,[],[f1943]) ).
thf(f6910,plain,
( ( $false
= ( in @ sK0 @ omega ) )
| ( $true != $true ) ),
inference(superposition,[],[f5248,f4587]) ).
thf(f6916,plain,
( $false
= ( in @ sK0 @ omega ) ),
inference(trivial_inequality_removal,[],[f6910]) ).
thf(f7004,plain,
$false = $true,
inference(superposition,[],[f1385,f6916]) ).
thf(f7009,plain,
$false,
inference(trivial_inequality_removal,[],[f7004]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU808^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 14:35:42 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.21/0.32 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
% 0.78/0.51 % (683900)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.78/0.51 % (683911)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2803081496:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.78/0.51 % (683906)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2524835543:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.78/0.51 % (683909)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=766050043: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)
% 0.78/0.51 % (683908)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3176030379:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.78/0.51 % (683912)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.78/0.51 % (683912)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
% 0.78/0.51 % (683908)Instruction limit reached!
% 0.78/0.51 % (683908)------------------------------
% 0.78/0.51 % (683908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.51 % (683908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.51 % (683908)CaDiCaL version: 2.1.3
% 0.78/0.51 % (683908)Termination reason: Instruction limit
% 0.78/0.51 % (683908)Termination phase: shuffling
% 0.78/0.51 % (683908)Time elapsed: 0.003 s
% 0.78/0.51 % (683908)Peak memory usage: 10 MB
% 0.78/0.51 % (683908)Instructions burned: 5 (million)
% 0.78/0.51 % (683912)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=1965015944:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.78/0.51 % (683907)lrs+10_16_si=on:nwc=1.5:random_seed=3957567424:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.78/0.51 % (683907)Instruction limit reached!
% 0.78/0.51 % (683907)------------------------------
% 0.78/0.51 % (683907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.51 % (683907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.51 % (683907)CaDiCaL version: 2.1.3
% 0.78/0.51 % (683907)Termination reason: Instruction limit
% 0.78/0.51 % (683907)Termination phase: shuffling
% 0.78/0.51 % (683907)Time elapsed: 0.009 s
% 0.78/0.51 % (683907)Peak memory usage: 10 MB
% 0.78/0.51 % (683907)Instructions burned: 19 (million)
% 0.78/0.51 % (683910)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1881819854:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.78/0.51 % (683917)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=948153334:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.51 % (683917)Instruction limit reached!
% 0.78/0.51 % (683917)------------------------------
% 0.78/0.51 % (683917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.51 % (683917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.51 % (683917)CaDiCaL version: 2.1.3
% 0.78/0.51 % (683917)Termination reason: Instruction limit
% 0.78/0.51 % (683917)Termination phase: shuffling
% 0.78/0.51 % (683917)Time elapsed: 0.002 s
% 0.78/0.51 % (683917)Peak memory usage: 10 MB
% 0.78/0.51 % (683917)Instructions burned: 3 (million)
% 0.78/0.51 % (683911)Instruction limit reached!
% 0.78/0.51 % (683911)------------------------------
% 0.78/0.51 % (683911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.51 % (683911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.51 % (683911)CaDiCaL version: 2.1.3
% 0.78/0.51 % (683911)Termination reason: Instruction limit
% 0.78/0.51 % (683911)Termination phase: Preprocessing 1
% 0.78/0.51 % (683911)Time elapsed: 0.031 s
% 0.78/0.51 % (683911)Peak memory usage: 11 MB
% 0.78/0.51 % (683911)Instructions burned: 76 (million)
% 0.78/0.51 % (683921)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3211333212:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.78/0.51 % (683924)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.56 % (683921)Instruction limit reached!
% 0.78/0.56 % (683921)------------------------------
% 0.78/0.56 % (683921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.56 % (683921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.56 % (683921)CaDiCaL version: 2.1.3
% 0.78/0.56 % (683921)Termination reason: Instruction limit
% 0.78/0.56 % (683921)Termination phase: shuffling
% 0.78/0.56 % (683921)Time elapsed: 0.003 s
% 0.78/0.56 % (683921)Peak memory usage: 10 MB
% 0.78/0.56 % (683921)Instructions burned: 5 (million)
% 0.78/0.56 % (683910)Instruction limit reached!
% 0.78/0.56 % (683910)------------------------------
% 0.78/0.56 % (683910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.56 % (683910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.56 % (683910)CaDiCaL version: 2.1.3
% 0.78/0.56 % (683910)Termination reason: Instruction limit
% 0.78/0.56 % (683910)Termination phase: shuffling
% 0.78/0.56 % (683910)Time elapsed: 0.021 s
% 0.78/0.56 % (683910)Peak memory usage: 10 MB
% 0.78/0.56 % (683910)Instructions burned: 24 (million)
% 0.78/0.56 % (683906)Instruction limit reached!
% 0.78/0.56 % (683906)------------------------------
% 0.78/0.56 % (683906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.56 % (683906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.56 % (683906)CaDiCaL version: 2.1.3
% 0.78/0.56 % (683906)Termination reason: Instruction limit
% 0.78/0.56 % (683906)Termination phase: Preprocessing 3
% 0.78/0.56 % (683906)Time elapsed: 0.047 s
% 0.78/0.56 % (683906)Peak memory usage: 12 MB
% 0.78/0.56 % (683906)Instructions burned: 92 (million)
% 0.78/0.56 % (683924)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=266035796:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.78/0.56 % (683924)Instruction limit reached!
% 0.78/0.56 % (683924)------------------------------
% 0.78/0.56 % (683924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.56 % (683924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.56 % (683924)CaDiCaL version: 2.1.3
% 0.78/0.56 % (683924)Termination reason: Instruction limit
% 0.78/0.56 % (683924)Termination phase: shuffling
% 0.78/0.56 % (683924)Time elapsed: 0.004 s
% 0.78/0.56 % (683924)Peak memory usage: 10 MB
% 0.78/0.56 % (683924)Instructions burned: 8 (million)
% 0.78/0.56 % (683925)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3935155413:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.78/0.56 % (683928)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=1416866152:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.78/0.56 % (683925)Instruction limit reached!
% 0.78/0.56 % (683925)------------------------------
% 0.78/0.56 % (683925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.56 % (683925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.56 % (683925)CaDiCaL version: 2.1.3
% 0.78/0.56 % (683925)Termination reason: Instruction limit
% 0.78/0.56 % (683925)Termination phase: shuffling
% 0.78/0.56 % (683925)Time elapsed: 0.007 s
% 0.78/0.56 % (683925)Peak memory usage: 10 MB
% 0.78/0.56 % (683925)Instructions burned: 14 (million)
% 0.78/0.56 % (683931)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.78/0.56 % (683927)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
% 0.78/0.56 % (683927)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.56 % (683931)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=3452838932:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.78/0.56 % (683931)Instruction limit reached!
% 0.78/0.56 % (683931)------------------------------
% 0.78/0.56 % (683931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.62 % (683931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.62 % (683931)CaDiCaL version: 2.1.3
% 1.58/0.62 % (683931)Termination reason: Instruction limit
% 1.58/0.62 % (683931)Termination phase: shuffling
% 1.58/0.62 % (683931)Time elapsed: 0.003 s
% 1.58/0.62 % (683931)Peak memory usage: 10 MB
% 1.58/0.62 % (683931)Instructions burned: 6 (million)
% 1.58/0.62 % (683927)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=515214563:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.58/0.62 % (683930)lrs+10_1_si=on:cs=on:random_seed=1279591206:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.58/0.62 % (683934)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2880719533:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.58/0.62 % (683930)Instruction limit reached!
% 1.58/0.62 % (683930)------------------------------
% 1.58/0.62 % (683930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.62 % (683930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.62 % (683930)CaDiCaL version: 2.1.3
% 1.58/0.62 % (683930)Termination reason: Instruction limit
% 1.58/0.62 % (683930)Termination phase: shuffling
% 1.58/0.62 % (683930)Time elapsed: 0.004 s
% 1.58/0.62 % (683930)Peak memory usage: 10 MB
% 1.58/0.62 % (683930)Instructions burned: 8 (million)
% 1.58/0.62 % (683936)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2173692952:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.58/0.62 % (683928)Instruction limit reached!
% 1.58/0.62 % (683928)------------------------------
% 1.58/0.62 % (683928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.62 % (683928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.62 % (683928)CaDiCaL version: 2.1.3
% 1.58/0.62 % (683928)Termination reason: Instruction limit
% 1.58/0.62 % (683928)Termination phase: Property scanning
% 1.58/0.62 % (683928)Time elapsed: 0.036 s
% 1.58/0.62 % (683928)Peak memory usage: 11 MB
% 1.58/0.62 % (683928)Instructions burned: 86 (million)
% 1.58/0.62 % (683934)Instruction limit reached!
% 1.58/0.62 % (683934)------------------------------
% 1.58/0.62 % (683934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.62 % (683934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.62 % (683934)CaDiCaL version: 2.1.3
% 1.58/0.62 % (683934)Termination reason: Instruction limit
% 1.58/0.62 % (683934)Termination phase: Property scanning
% 1.58/0.62 % (683934)Time elapsed: 0.017 s
% 1.58/0.62 % (683934)Peak memory usage: 11 MB
% 1.58/0.62 % (683934)Instructions burned: 38 (million)
% 1.58/0.62 % (683927)Instruction limit reached!
% 1.58/0.62 % (683927)------------------------------
% 1.58/0.62 % (683927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.62 % (683927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.62 % (683927)CaDiCaL version: 2.1.3
% 1.58/0.62 % (683927)Termination reason: Instruction limit
% 1.58/0.62 % (683927)Termination phase: shuffling
% 1.58/0.62 % (683927)Time elapsed: 0.026 s
% 1.58/0.62 % (683927)Peak memory usage: 10 MB
% 1.58/0.62 % (683927)Instructions burned: 30 (million)
% 1.58/0.62 % (683940)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2601363353:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.58/0.62 % (683912)Instruction limit reached!
% 1.58/0.62 % (683912)------------------------------
% 1.58/0.62 % (683912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.62 % (683912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.62 % (683912)CaDiCaL version: 2.1.3
% 1.58/0.62 % (683912)Termination reason: Instruction limit
% 1.58/0.62 % (683912)Termination phase: Twee Goal Transformation
% 1.58/0.62 % (683912)Time elapsed: 0.109 s
% 1.58/0.62 % (683912)Peak memory usage: 12 MB
% 1.58/0.62 % (683912)Instructions burned: 158 (million)
% 1.58/0.62 % (683940)Instruction limit reached!
% 1.58/0.62 % (683940)------------------------------
% 1.58/0.62 % (683940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.62 % (683940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.70 % (683940)CaDiCaL version: 2.1.3
% 1.93/0.70 % (683940)Termination reason: Instruction limit
% 1.93/0.70 % (683940)Termination phase: shuffling
% 1.93/0.70 % (683940)Time elapsed: 0.011 s
% 1.93/0.70 % (683940)Peak memory usage: 10 MB
% 1.93/0.70 % (683940)Instructions burned: 26 (million)
% 1.93/0.70 % (683943)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3463073611:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.93/0.70 % (683944)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2139096253:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.93/0.70 % (683942)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1574018558:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.93/0.70 % (683944)Instruction limit reached!
% 1.93/0.70 % (683944)------------------------------
% 1.93/0.70 % (683944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.70 % (683944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.70 % (683944)CaDiCaL version: 2.1.3
% 1.93/0.70 % (683944)Termination reason: Instruction limit
% 1.93/0.70 % (683944)Termination phase: shuffling
% 1.93/0.70 % (683944)Time elapsed: 0.007 s
% 1.93/0.70 % (683944)Peak memory usage: 11 MB
% 1.93/0.70 % (683944)Instructions burned: 15 (million)
% 1.93/0.70 % (683946)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2466375662: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)
% 1.93/0.70 % (683946)Instruction limit reached!
% 1.93/0.70 % (683946)------------------------------
% 1.93/0.70 % (683946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.70 % (683946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.70 % (683946)CaDiCaL version: 2.1.3
% 1.93/0.70 % (683946)Termination reason: Instruction limit
% 1.93/0.70 % (683946)Termination phase: shuffling
% 1.93/0.70 % (683946)Time elapsed: 0.002 s
% 1.93/0.70 % (683946)Peak memory usage: 10 MB
% 1.93/0.70 % (683946)Instructions burned: 4 (million)
% 1.93/0.70 % (683947)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=894064093:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.93/0.70 % (683942)Instruction limit reached!
% 1.93/0.70 % (683942)------------------------------
% 1.93/0.70 % (683942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.70 % (683942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.70 % (683942)CaDiCaL version: 2.1.3
% 1.93/0.70 % (683942)Termination reason: Instruction limit
% 1.93/0.70 % (683942)Termination phase: shuffling
% 1.93/0.70 % (683942)Time elapsed: 0.013 s
% 1.93/0.70 % (683942)Peak memory usage: 10 MB
% 1.93/0.70 % (683942)Instructions burned: 15 (million)
% 1.93/0.70 % (683947)Instruction limit reached!
% 1.93/0.70 % (683947)------------------------------
% 1.93/0.70 % (683947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.70 % (683947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.70 % (683947)CaDiCaL version: 2.1.3
% 1.93/0.70 % (683947)Termination reason: Instruction limit
% 1.93/0.70 % (683947)Termination phase: shuffling
% 1.93/0.70 % (683947)Time elapsed: 0.012 s
% 1.93/0.70 % (683947)Peak memory usage: 11 MB
% 1.93/0.70 % (683947)Instructions burned: 27 (million)
% 1.93/0.70 % (683951)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1897285728:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.93/0.70 % (683951)Instruction limit reached!
% 1.93/0.70 % (683951)------------------------------
% 1.93/0.70 % (683951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.70 % (683951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.70 % (683951)CaDiCaL version: 2.1.3
% 1.93/0.70 % (683951)Termination reason: Instruction limit
% 1.93/0.70 % (683951)Termination phase: shuffling
% 1.93/0.70 % (683951)Time elapsed: 0.011 s
% 1.93/0.70 % (683951)Peak memory usage: 11 MB
% 1.93/0.70 % (683951)Instructions burned: 25 (million)
% 1.93/0.70 % (683956)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.93/0.70 % (683955)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.13/0.77 % (683955)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.13/0.77 % (683956)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=1686154025:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.13/0.77 % (683953)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=13269228:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.13/0.77 % (683955)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=1819050618:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.13/0.77 % (683956)Instruction limit reached!
% 2.13/0.77 % (683956)------------------------------
% 2.13/0.77 % (683956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.77 % (683956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.77 % (683956)CaDiCaL version: 2.1.3
% 2.13/0.77 % (683956)Termination reason: Instruction limit
% 2.13/0.77 % (683956)Termination phase: shuffling
% 2.13/0.77 % (683956)Time elapsed: 0.005 s
% 2.13/0.77 % (683956)Peak memory usage: 10 MB
% 2.13/0.77 % (683956)Instructions burned: 9 (million)
% 2.13/0.77 % (683955)Instruction limit reached!
% 2.13/0.77 % (683955)------------------------------
% 2.13/0.77 % (683955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.77 % (683955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.77 % (683955)CaDiCaL version: 2.1.3
% 2.13/0.77 % (683955)Termination reason: Instruction limit
% 2.13/0.77 % (683955)Termination phase: shuffling
% 2.13/0.77 % (683955)Time elapsed: 0.007 s
% 2.13/0.77 % (683955)Peak memory usage: 10 MB
% 2.13/0.77 % (683955)Instructions burned: 16 (million)
% 2.13/0.77 % (683958)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=1110352935:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.13/0.77 % (683962)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=635349109:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.13/0.77 % (683958)Instruction limit reached!
% 2.13/0.77 % (683958)------------------------------
% 2.13/0.77 % (683958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.77 % (683958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.77 % (683958)CaDiCaL version: 2.1.3
% 2.13/0.77 % (683958)Termination reason: Instruction limit
% 2.13/0.77 % (683958)Termination phase: shuffling
% 2.13/0.77 % (683958)Time elapsed: 0.014 s
% 2.13/0.77 % (683958)Peak memory usage: 11 MB
% 2.13/0.77 % (683958)Instructions burned: 31 (million)
% 2.13/0.77 % (683962)Instruction limit reached!
% 2.13/0.77 % (683962)------------------------------
% 2.13/0.77 % (683962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.77 % (683962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.77 % (683962)CaDiCaL version: 2.1.3
% 2.13/0.77 % (683962)Termination reason: Instruction limit
% 2.13/0.77 % (683962)Termination phase: shuffling
% 2.13/0.77 % (683962)Time elapsed: 0.004 s
% 2.13/0.77 % (683962)Peak memory usage: 10 MB
% 2.13/0.77 % (683962)Instructions burned: 7 (million)
% 2.13/0.77 % (683963)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2700911923:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.13/0.77 % (683963)Instruction limit reached!
% 2.13/0.77 % (683963)------------------------------
% 2.13/0.77 % (683963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.77 % (683963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.77 % (683963)CaDiCaL version: 2.1.3
% 2.13/0.77 % (683963)Termination reason: Instruction limit
% 2.13/0.77 % (683963)Termination phase: shuffling
% 2.13/0.77 % (683963)Time elapsed: 0.010 s
% 2.13/0.77 % (683963)Peak memory usage: 10 MB
% 2.13/0.77 % (683963)Instructions burned: 23 (million)
% 2.13/0.77 % (683953)Instruction limit reached!
% 2.13/0.77 % (683953)------------------------------
% 2.73/0.87 % (683953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.87 % (683966)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1617159812:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.73/0.87 % (683953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.87 % (683953)CaDiCaL version: 2.1.3
% 2.73/0.87 % (683953)Termination reason: Instruction limit
% 2.73/0.87 % (683953)Termination phase: Preprocessing 2
% 2.73/0.87 % (683953)Time elapsed: 0.049 s
% 2.73/0.87 % (683953)Peak memory usage: 11 MB
% 2.73/0.87 % (683953)Instructions burned: 61 (million)
% 2.73/0.87 % (683967)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2840119897:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.73/0.87 % (683936)Instruction limit reached!
% 2.73/0.87 % (683936)------------------------------
% 2.73/0.87 % (683936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.87 % (683936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.87 % (683936)CaDiCaL version: 2.1.3
% 2.73/0.87 % (683936)Termination reason: Instruction limit
% 2.73/0.87 % (683936)Termination phase: Saturation
% 2.73/0.87 % (683936)Time elapsed: 0.130 s
% 2.73/0.87 % (683936)Peak memory usage: 14 MB
% 2.73/0.87 % (683936)Instructions burned: 250 (million)
% 2.73/0.87 % (683966)Instruction limit reached!
% 2.73/0.87 % (683966)------------------------------
% 2.73/0.87 % (683966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.87 % (683966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.87 % (683966)CaDiCaL version: 2.1.3
% 2.73/0.87 % (683966)Termination reason: Instruction limit
% 2.73/0.87 % (683966)Termination phase: shuffling
% 2.73/0.87 % (683966)Time elapsed: 0.018 s
% 2.73/0.87 % (683966)Peak memory usage: 10 MB
% 2.73/0.87 % (683966)Instructions burned: 21 (million)
% 2.73/0.87 % (683973)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=127143509:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.73/0.87 % (683969)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2823480496:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.73/0.87 % (683972)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2297787913:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.73/0.87 % (683973)Instruction limit reached!
% 2.73/0.87 % (683973)------------------------------
% 2.73/0.87 % (683973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.87 % (683973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.87 % (683973)CaDiCaL version: 2.1.3
% 2.73/0.87 % (683973)Termination reason: Instruction limit
% 2.73/0.87 % (683973)Termination phase: Property scanning
% 2.73/0.87 % (683973)Time elapsed: 0.021 s
% 2.73/0.87 % (683973)Peak memory usage: 11 MB
% 2.73/0.87 % (683973)Instructions burned: 50 (million)
% 2.73/0.87 % (683974)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.73/0.87 % (683974)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2419923461:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.73/0.87 % (683974)Instruction limit reached!
% 2.73/0.87 % (683974)------------------------------
% 2.73/0.87 % (683974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.87 % (683974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.87 % (683974)CaDiCaL version: 2.1.3
% 2.73/0.87 % (683974)Termination reason: Instruction limit
% 2.73/0.87 % (683974)Termination phase: shuffling
% 2.73/0.87 % (683974)Time elapsed: 0.007 s
% 2.73/0.87 % (683974)Peak memory usage: 10 MB
% 2.73/0.87 % (683974)Instructions burned: 7 (million)
% 2.73/0.87 % (683978)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2199737884:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.73/0.87 % (683943)Instruction limit reached!
% 2.73/0.87 % (683943)------------------------------
% 2.73/0.87 % (683943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.87 % (683943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.97 % (683943)CaDiCaL version: 2.1.3
% 3.09/0.97 % (683943)Termination reason: Instruction limit
% 3.09/0.97 % (683943)Termination phase: Saturation
% 3.09/0.97 % (683943)Time elapsed: 0.179 s
% 3.09/0.97 % (683943)Peak memory usage: 15 MB
% 3.09/0.97 % (683943)Instructions burned: 328 (million)
% 3.09/0.97 % (683969)Instruction limit reached!
% 3.09/0.97 % (683969)------------------------------
% 3.09/0.97 % (683969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.97 % (683969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.97 % (683969)CaDiCaL version: 2.1.3
% 3.09/0.97 % (683969)Termination reason: Instruction limit
% 3.09/0.97 % (683969)Termination phase: Twee Goal Transformation
% 3.09/0.97 % (683969)Time elapsed: 0.068 s
% 3.09/0.97 % (683969)Peak memory usage: 12 MB
% 3.09/0.97 % (683969)Instructions burned: 143 (million)
% 3.09/0.97 % (683980)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=4217809819:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.09/0.97 % (683982)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.09/0.97 % (683982)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3544627509:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.09/0.97 % (683982)Instruction limit reached!
% 3.09/0.97 % (683982)------------------------------
% 3.09/0.97 % (683982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.97 % (683982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.97 % (683982)CaDiCaL version: 2.1.3
% 3.09/0.97 % (683982)Termination reason: Instruction limit
% 3.09/0.97 % (683982)Termination phase: shuffling
% 3.09/0.97 % (683982)Time elapsed: 0.003 s
% 3.09/0.97 % (683982)Peak memory usage: 10 MB
% 3.09/0.97 % (683982)Instructions burned: 6 (million)
% 3.09/0.97 % (683983)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3730624493:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.09/0.97 % (683972)Instruction limit reached!
% 3.09/0.97 % (683972)------------------------------
% 3.09/0.97 % (683972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.97 % (683972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.97 % (683972)CaDiCaL version: 2.1.3
% 3.09/0.97 % (683972)Termination reason: Instruction limit
% 3.09/0.97 % (683972)Termination phase: Property scanning
% 3.09/0.97 % (683972)Time elapsed: 0.082 s
% 3.09/0.97 % (683972)Peak memory usage: 13 MB
% 3.09/0.97 % (683972)Instructions burned: 195 (million)
% 3.09/0.97 % (683983)Instruction limit reached!
% 3.09/0.97 % (683983)------------------------------
% 3.09/0.97 % (683983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.97 % (683983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.97 % (683983)CaDiCaL version: 2.1.3
% 3.09/0.97 % (683983)Termination reason: Instruction limit
% 3.09/0.97 % (683983)Termination phase: shuffling
% 3.09/0.97 % (683983)Time elapsed: 0.011 s
% 3.09/0.97 % (683983)Peak memory usage: 10 MB
% 3.09/0.97 % (683983)Instructions burned: 23 (million)
% 3.09/0.97 % (683987)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=243967415:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 3.09/0.97 % (683988)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=508594450:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 3.09/0.97 % (683987)Instruction limit reached!
% 3.09/0.97 % (683987)------------------------------
% 3.09/0.97 % (683987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.97 % (683987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.97 % (683987)CaDiCaL version: 2.1.3
% 3.09/0.97 % (683987)Termination reason: Instruction limit
% 3.09/0.97 % (683987)Termination phase: shuffling
% 3.09/0.97 % (683987)Time elapsed: 0.009 s
% 3.09/0.97 % (683987)Peak memory usage: 10 MB
% 3.09/0.97 % (683987)Instructions burned: 21 (million)
% 3.09/0.97 % (683989)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=314162389:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 5.33/1.18 % (683978)Instruction limit reached!
% 5.33/1.18 % (683978)------------------------------
% 5.33/1.18 % (683978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.33/1.18 % (683978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.18 % (683978)CaDiCaL version: 2.1.3
% 5.33/1.18 % (683978)Termination reason: Instruction limit
% 5.33/1.18 % (683978)Termination phase: Property scanning
% 5.33/1.18 % (683978)Time elapsed: 0.089 s
% 5.33/1.18 % (683978)Peak memory usage: 13 MB
% 5.33/1.18 % (683978)Instructions burned: 183 (million)
% 5.33/1.18 % (683993)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=4178457484:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 5.33/1.18 % (683980)Instruction limit reached!
% 5.33/1.18 % (683980)------------------------------
% 5.33/1.18 % (683980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.33/1.18 % (683980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.18 % (683980)CaDiCaL version: 2.1.3
% 5.33/1.18 % (683980)Termination reason: Instruction limit
% 5.33/1.18 % (683980)Termination phase: Property scanning
% 5.33/1.18 % (683980)Time elapsed: 0.068 s
% 5.33/1.18 % (683980)Peak memory usage: 12 MB
% 5.33/1.18 % (683980)Instructions burned: 171 (million)
% 5.33/1.18 % (683993)Instruction limit reached!
% 5.33/1.18 % (683993)------------------------------
% 5.33/1.18 % (683993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.33/1.18 % (683993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.18 % (683993)CaDiCaL version: 2.1.3
% 5.33/1.18 % (683993)Termination reason: Instruction limit
% 5.33/1.18 % (683993)Termination phase: shuffling
% 5.33/1.18 % (683993)Time elapsed: 0.020 s
% 5.33/1.18 % (683993)Peak memory usage: 11 MB
% 5.33/1.18 % (683993)Instructions burned: 45 (million)
% 5.33/1.18 % (683996)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4177689876:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 5.33/1.18 % (683994)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3070313651:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 5.33/1.18 % (683996)Instruction limit reached!
% 5.33/1.18 % (683996)------------------------------
% 5.33/1.18 % (683996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.33/1.18 % (683996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.18 % (683996)CaDiCaL version: 2.1.3
% 5.33/1.18 % (683996)Termination reason: Instruction limit
% 5.33/1.18 % (683996)Termination phase: shuffling
% 5.33/1.18 % (683996)Time elapsed: 0.011 s
% 5.33/1.18 % (683996)Peak memory usage: 11 MB
% 5.33/1.18 % (683996)Instructions burned: 22 (million)
% 5.33/1.18 % (683999)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.33/1.18 % (683999)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1082089546:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 5.33/1.18 % (684000)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1936894487:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 5.33/1.18 % (684000)Instruction limit reached!
% 5.33/1.18 % (684000)------------------------------
% 5.33/1.18 % (684000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.33/1.18 % (684000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.18 % (684000)CaDiCaL version: 2.1.3
% 5.33/1.18 % (684000)Termination reason: Instruction limit
% 5.33/1.18 % (684000)Termination phase: shuffling
% 5.33/1.18 % (684000)Time elapsed: 0.012 s
% 5.33/1.18 % (684000)Peak memory usage: 10 MB
% 5.33/1.18 % (684000)Instructions burned: 13 (million)
% 5.33/1.18 % (684003)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=628904664:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.59/1.28 % (683988)Instruction limit reached!
% 5.59/1.28 % (683988)------------------------------
% 5.59/1.28 % (683988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (683988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (683988)CaDiCaL version: 2.1.3
% 5.59/1.28 % (683988)Termination reason: Instruction limit
% 5.59/1.28 % (683988)Termination phase: Saturation
% 5.59/1.28 % (683988)Time elapsed: 0.139 s
% 5.59/1.28 % (683988)Peak memory usage: 16 MB
% 5.59/1.28 % (683988)Instructions burned: 316 (million)
% 5.59/1.28 % (684003)Instruction limit reached!
% 5.59/1.28 % (684003)------------------------------
% 5.59/1.28 % (684003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684003)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684003)Termination reason: Instruction limit
% 5.59/1.28 % (684003)Termination phase: Property scanning
% 5.59/1.28 % (684003)Time elapsed: 0.029 s
% 5.59/1.28 % (684003)Peak memory usage: 11 MB
% 5.59/1.28 % (684003)Instructions burned: 66 (million)
% 5.59/1.28 % (683999)Instruction limit reached!
% 5.59/1.28 % (683999)------------------------------
% 5.59/1.28 % (683999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (683999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (683999)CaDiCaL version: 2.1.3
% 5.59/1.28 % (683999)Termination reason: Instruction limit
% 5.59/1.28 % (683999)Termination phase: Saturation
% 5.59/1.28 % (683999)Time elapsed: 0.084 s
% 5.59/1.28 % (683999)Peak memory usage: 14 MB
% 5.59/1.28 % (683999)Instructions burned: 200 (million)
% 5.59/1.28 % (684005)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=201746633:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 5.59/1.28 % (684006)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2170239528:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 5.59/1.28 % (684007)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1668371096:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.59/1.28 % (684006)Instruction limit reached!
% 5.59/1.28 % (684006)------------------------------
% 5.59/1.28 % (684006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684006)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684006)Termination reason: Instruction limit
% 5.59/1.28 % (684006)Termination phase: shuffling
% 5.59/1.28 % (684006)Time elapsed: 0.014 s
% 5.59/1.28 % (684006)Peak memory usage: 11 MB
% 5.59/1.28 % (684006)Instructions burned: 32 (million)
% 5.59/1.28 % (684005)Instruction limit reached!
% 5.59/1.28 % (684005)------------------------------
% 5.59/1.28 % (684005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684005)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684005)Termination reason: Instruction limit
% 5.59/1.28 % (684005)Termination phase: Property scanning
% 5.59/1.28 % (684005)Time elapsed: 0.023 s
% 5.59/1.28 % (684005)Peak memory usage: 11 MB
% 5.59/1.28 % (684005)Instructions burned: 52 (million)
% 5.59/1.28 % (684011)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=3393799613:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.59/1.28 % (683909)Instruction limit reached!
% 5.59/1.28 % (683909)------------------------------
% 5.59/1.28 % (683909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (683909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (683909)CaDiCaL version: 2.1.3
% 5.59/1.28 % (683909)Termination reason: Instruction limit
% 5.59/1.28 % (683909)Termination phase: Saturation
% 5.59/1.28 % (683909)Time elapsed: 0.561 s
% 5.59/1.28 % (683909)Peak memory usage: 22 MB
% 5.59/1.28 % (683909)Instructions burned: 634 (million)
% 5.59/1.28 % (684012)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3534839583:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 5.59/1.28 % (684011)Instruction limit reached!
% 5.59/1.28 % (684011)------------------------------
% 5.59/1.28 % (684011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684011)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684011)Termination reason: Instruction limit
% 5.59/1.28 % (684011)Termination phase: shuffling
% 5.59/1.28 % (684011)Time elapsed: 0.015 s
% 5.59/1.28 % (684011)Peak memory usage: 11 MB
% 5.59/1.28 % (684011)Instructions burned: 35 (million)
% 5.59/1.28 % (684015)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.59/1.28 % (684015)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3280718979:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 5.59/1.28 % (684012)Instruction limit reached!
% 5.59/1.28 % (684012)------------------------------
% 5.59/1.28 % (684012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684012)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684012)Termination reason: Instruction limit
% 5.59/1.28 % (684012)Termination phase: Property scanning
% 5.59/1.28 % (684012)Time elapsed: 0.030 s
% 5.59/1.28 % (684012)Peak memory usage: 11 MB
% 5.59/1.28 % (684012)Instructions burned: 69 (million)
% 5.59/1.28 % (684016)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2130759277:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 5.59/1.28 % (684007)Instruction limit reached!
% 5.59/1.28 % (684007)------------------------------
% 5.59/1.28 % (684007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684007)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684007)Termination reason: Instruction limit
% 5.59/1.28 % (684007)Termination phase: Twee Goal Transformation
% 5.59/1.28 % (684007)Time elapsed: 0.059 s
% 5.59/1.28 % (684007)Peak memory usage: 12 MB
% 5.59/1.28 % (684007)Instructions burned: 139 (million)
% 5.59/1.28 % (684018)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2977011137:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 5.59/1.28 % (684020)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1199525807:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 5.59/1.28 % (684018)Instruction limit reached!
% 5.59/1.28 % (684018)------------------------------
% 5.59/1.28 % (684018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684018)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684018)Termination reason: Instruction limit
% 5.59/1.28 % (684018)Termination phase: Property scanning
% 5.59/1.28 % (684018)Time elapsed: 0.041 s
% 5.59/1.28 % (684018)Peak memory usage: 12 MB
% 5.59/1.28 % (684018)Instructions burned: 96 (million)
% 5.59/1.28 % (684015)Instruction limit reached!
% 5.59/1.28 % (684015)------------------------------
% 5.59/1.28 % (684015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684015)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684015)Termination reason: Instruction limit
% 5.59/1.28 % (684015)Termination phase: Property scanning
% 5.59/1.28 % (684015)Time elapsed: 0.073 s
% 5.59/1.28 % (684015)Peak memory usage: 12 MB
% 5.59/1.28 % (684015)Instructions burned: 181 (million)
% 5.59/1.28 % (684023)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1817343747:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 5.59/1.28 % (684024)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1797971943:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 5.59/1.28 % (684016)Instruction limit reached!
% 5.59/1.28 % (684016)------------------------------
% 5.59/1.28 % (684016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684016)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684016)Termination reason: Instruction limit
% 5.59/1.28 % (684016)Termination phase: Saturation
% 5.59/1.28 % (684016)Time elapsed: 0.186 s
% 5.59/1.28 % (684016)Peak memory usage: 14 MB
% 5.59/1.28 % (684016)Instructions burned: 246 (million)
% 5.59/1.28 % (684027)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=457822817:st=1.5:i=130:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 5.59/1.28 % (684020)Instruction limit reached!
% 5.59/1.28 % (684020)------------------------------
% 5.59/1.28 % (684020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684020)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684020)Termination reason: Instruction limit
% 5.59/1.28 % (684020)Termination phase: Saturation
% 5.59/1.28 % (684020)Time elapsed: 0.194 s
% 5.59/1.28 % (684020)Peak memory usage: 17 MB
% 5.59/1.28 % (684020)Instructions burned: 427 (million)
% 5.59/1.28 % (683989)Instruction limit reached!
% 5.59/1.28 % (683989)------------------------------
% 5.59/1.28 % (683989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (683989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (683989)CaDiCaL version: 2.1.3
% 5.59/1.28 % (683989)Termination reason: Instruction limit
% 5.59/1.28 % (683989)Termination phase: Saturation
% 5.59/1.28 % (683989)Time elapsed: 0.444 s
% 5.59/1.28 % (683989)Peak memory usage: 23 MB
% 5.59/1.28 % (683989)Instructions burned: 853 (million)
% 5.59/1.28 % (683994)Instruction limit reached!
% 5.59/1.28 % (683994)------------------------------
% 5.59/1.28 % (683994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (683994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (683994)CaDiCaL version: 2.1.3
% 5.59/1.28 % (683994)Termination reason: Instruction limit
% 5.59/1.28 % (683994)Termination phase: Saturation
% 5.59/1.28 % (683994)Time elapsed: 0.405 s
% 5.59/1.28 % (683994)Peak memory usage: 19 MB
% 5.59/1.28 % (683994)Instructions burned: 480 (million)
% 5.59/1.28 % (684029)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3781806239:i=44:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/44Mi)
% 5.59/1.28 % (684030)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4013525217:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 5.59/1.28 % (684031)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2211767199:i=450:rtra=on:ixr=off:ntd=on_2991 on theBenchmark for (2991ds/450Mi)
% 5.59/1.28 % (684029)Instruction limit reached!
% 5.59/1.28 % (684029)------------------------------
% 5.59/1.28 % (684029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684029)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684029)Termination reason: Instruction limit
% 5.59/1.28 % (684029)Termination phase: shuffling
% 5.59/1.28 % (684029)Time elapsed: 0.019 s
% 5.59/1.28 % (684029)Peak memory usage: 11 MB
% 5.59/1.28 % (684029)Instructions burned: 45 (million)
% 5.59/1.28 % (684027)Instruction limit reached!
% 5.59/1.28 % (684027)------------------------------
% 5.59/1.28 % (684027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.28 % (684027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.28 % (684027)CaDiCaL version: 2.1.3
% 5.59/1.28 % (684027)Termination reason: Instruction limit
% 5.59/1.28 % (684027)Termination phase: Property scanning
% 5.59/1.28 % (684027)Time elapsed: 0.056 s
% 5.59/1.28 % (684027)Peak memory usage: 12 MB
% 5.59/1.28 % (684027)Instructions burned: 132 (million)
% 5.59/1.28 % (684035)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2121515076:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/95Mi)
% 5.59/1.28 % (684023) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-683900-684023"...
% 5.59/1.28 % (684036)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3585062380:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2990 on theBenchmark for (2990ds/65Mi)
% 5.59/1.28 % (684023)...printing done.
% 5.59/1.28 % (684023)Refutation found. Thanks to Tanya!
% 5.59/1.28 % SZS status Theorem for theBenchmark
% 5.59/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 5.59/1.29 % (684023)------------------------------
% 5.59/1.29 % (684023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.29 % (684023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.29 % (684023)CaDiCaL version: 2.1.3
% 5.59/1.29 % (684023)Termination reason: Refutation
% 5.59/1.29 % (684023)Time elapsed: 0.207 s
% 5.59/1.29 % (684023)Peak memory usage: 17 MB
% 5.59/1.29 % (684023)Instructions burned: 453 (million)
% 5.59/1.29 % (683900)Success in time 0.957 s
% 5.59/1.29 % Vampire exiting
%------------------------------------------------------------------------------