%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU765^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:31:13 AM UTC 2026
% Result : Theorem 4.73s 1.09s
% Output : Refutation 4.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 27 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 4547 (1210 equ; 0 cnn)
% Maximal formula atoms : 285 ( 168 avg)
% Number of connectives : 2514 ( 47 ~; 34 |; 864 &; 422 @)
% ( 2 <=>;1145 =>; 0 <=; 0 <~>)
% Maximal formula depth : 296 ( 79 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 515 ( 512 usr; 315 con; 0-4 aty)
% Number of variables : 67 ( 0 ^; 51 !; 16 ?; 67 :)
% 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_322,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_323,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_324,type,
vOR: $o > $o > $o ).
thf(func_def_325,type,
vAND: $o > $o > $o ).
thf(func_def_326,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_327,type,
vNOT: $o > $o ).
thf(func_def_328,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_329,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_330,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_331,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_332,type,
vIMP: $o > $o > $o ).
thf(func_def_333,type,
sP0: $o ).
thf(func_def_334,type,
sP1: $o ).
thf(func_def_335,type,
sP2: $o ).
thf(func_def_336,type,
sP3: $i > $i > $i > $i > $o ).
thf(func_def_337,type,
sP4: $o ).
thf(func_def_338,type,
sP5: $i > $o > $i > $i > $o ).
thf(func_def_339,type,
sP6: $o ).
thf(func_def_340,type,
sP7: $i > $i > $o ).
thf(func_def_341,type,
sP8: $i > $o ).
thf(func_def_342,type,
sP9: $i > $i > $o ).
thf(func_def_343,type,
sP10: $i > $i > $o ).
thf(func_def_344,type,
sP11: $o ).
thf(func_def_345,type,
sP12: $i > $i > $i > $o ).
thf(func_def_347,type,
sK14: $i > $o ).
thf(func_def_349,type,
sK16: ( $i > $o ) > $i > $i ).
thf(func_def_354,type,
sK21: $i > $i > $i > $i > $i ).
thf(func_def_355,type,
sK22: $i > $i > $i > $i > $i ).
thf(func_def_357,type,
sK24: $i > $i ).
thf(func_def_361,type,
sK28: $i > $i ).
thf(func_def_373,type,
sK40: $i > $o ).
thf(func_def_376,type,
sK43: $i > $i > ( $i > $o ) > $i ).
thf(func_def_381,type,
sK48: $i > $i > $i ).
thf(func_def_384,type,
sK51: $i > $o ).
thf(func_def_385,type,
sK52: $i > $o ).
thf(func_def_386,type,
sK53: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_387,type,
sK54: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_388,type,
sK55: ( $i > $o ) > $i ).
thf(func_def_389,type,
sK56: $i > $o ).
thf(func_def_390,type,
sK57: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_391,type,
sK58: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_395,type,
sK62: $i > $o ).
thf(func_def_398,type,
sK65: $i > $o ).
thf(func_def_400,type,
sK67: ( $i > $o ) > $i > $i ).
thf(func_def_401,type,
sK68: ( $i > $o ) > $i > $i ).
thf(func_def_417,type,
sK84: $i > $o ).
thf(func_def_419,type,
sK86: ( $i > $o ) > $i > $i ).
thf(func_def_420,type,
sK87: ( $i > $o ) > $i > $i ).
thf(func_def_427,type,
sK94: $i > $i ).
thf(func_def_430,type,
sK97: $i > $i > ( $i > $i ) > $i ).
thf(func_def_441,type,
sK108: ( $i > $o ) > $i ).
thf(func_def_442,type,
sK109: $i > $o ).
thf(func_def_443,type,
sK110: $i > $i ).
thf(func_def_444,type,
sK111: $i > $o ).
thf(func_def_465,type,
sK132: $i > $i > $i > $i ).
thf(func_def_469,type,
sK136: $o ).
thf(func_def_484,type,
sK151: $o ).
thf(func_def_495,type,
sK162: $o ).
thf(func_def_499,type,
sK166: ( $i > $o ) > $i ).
thf(func_def_500,type,
sK167: ( $i > $o ) > $i ).
thf(func_def_501,type,
sK168: $i > $o ).
thf(func_def_506,type,
sK173: $i > $i > $i ).
thf(func_def_511,type,
sK178: $i > $o ).
thf(func_def_513,type,
sK180: ( $i > $o ) > $i > $i ).
thf(func_def_520,type,
sK187: $i > $o ).
thf(func_def_527,type,
sK194: $i > $i ).
thf(func_def_529,type,
sK196: $i > ( $i > $i ) > $i > $i ).
thf(func_def_541,type,
sK208: $o ).
thf(func_def_561,type,
sK228: $i > $i > $o ).
thf(func_def_585,type,
sK252: $i > $i > $i > $i > $i ).
thf(func_def_587,type,
sK254: $i > $i ).
thf(func_def_589,type,
sK256: $i > ( $i > $i ) > $i > $i ).
thf(func_def_592,type,
sK259: $i > $i ).
thf(func_def_605,type,
sK272: $i > $o ).
thf(func_def_620,type,
sK287: $i > $i > $o ).
thf(func_def_627,type,
sK294: $i > $i > $i ).
thf(func_def_628,type,
sK295: $i > $i > $i ).
thf(func_def_638,type,
sK305: $i > $i > $o ).
thf(func_def_653,type,
sK320: $i > $i > $i > $i > $i ).
thf(func_def_654,type,
sK321: $i > $i > $i > $i > $i ).
thf(func_def_655,type,
sK322: $i > $i > $i > $i > $i ).
thf(func_def_656,type,
sK323: $i > $i > $i > $i > $i ).
thf(func_def_661,type,
sK328: $i > $i > $i ).
thf(func_def_668,type,
sK335: $i > $o ).
thf(func_def_670,type,
sK337: $i > ( $i > $o ) > $i ).
thf(func_def_679,type,
sK346: $i > $i > $i > $i ).
thf(func_def_710,type,
sK377: $o ).
thf(func_def_724,type,
sK391: $o ).
thf(func_def_727,type,
sK394: $i > $i > $i ).
thf(func_def_732,type,
sK399: $i > $i > $o ).
thf(func_def_735,type,
sK402: $i > $i > $i ).
thf(func_def_744,type,
sK411: $o ).
thf(func_def_749,type,
sK416: $i > $o ).
thf(func_def_751,type,
sK418: ( $i > $o ) > $i > $i ).
thf(func_def_752,type,
sK419: $o ).
thf(func_def_765,type,
sK432: $o ).
thf(func_def_773,type,
sK440: $i > $o ).
thf(func_def_780,type,
sK447: $i > $o ).
thf(func_def_782,type,
sK449: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_783,type,
sK450: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_796,type,
sK463: $i > $i ).
thf(func_def_797,type,
sK464: ( $i > $i ) > $i > $i > $i ).
thf(func_def_798,type,
sK465: ( $i > $o ) > $i > $i ).
thf(func_def_800,type,
sK467: $i > $o ).
thf(func_def_821,type,
sK488: $i > $i > ( $i > $i ) > $i ).
thf(func_def_822,type,
sK489: $i > $i ).
thf(func_def_838,type,
sK505: $i > $i > $i ).
thf(func_def_848,type,
sK515: $o ).
thf(func_def_861,type,
sK528: $i > $o ).
thf(func_def_862,type,
sK529: $i > $o ).
thf(func_def_863,type,
sK530: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_864,type,
sK531: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_869,type,
sK536: $i > $o ).
thf(func_def_873,type,
sK540: $i > $o ).
thf(func_def_885,type,
sK552: $i > $o ).
thf(func_def_887,type,
sK554: $i > $o ).
thf(func_def_888,type,
sK555: $i > $i ).
thf(func_def_889,type,
sK556: ( $i > $o ) > $i ).
thf(func_def_890,type,
sK557: $i > $o ).
thf(func_def_894,type,
sK561: $o ).
thf(func_def_897,type,
sK564: $o > $i > $i > $i ).
thf(func_def_900,type,
sK567: $o ).
thf(func_def_922,type,
sK589: $i > $i > $i > $i > $i ).
thf(func_def_923,type,
sK590: ( $i > $o ) > $i > $i ).
thf(func_def_925,type,
sK592: $i > $o ).
thf(func_def_932,type,
sK599: $i > $o ).
thf(func_def_936,type,
sK603: $i > $i > $o ).
thf(func_def_966,type,
sK633: $i > $o ).
thf(func_def_975,type,
sK642: ( $i > $o ) > $i > $i ).
thf(func_def_977,type,
sK644: $i > $o ).
thf(func_def_1001,type,
sK668: $i > $o ).
thf(func_def_1006,type,
sK673: $i > $i ).
thf(func_def_1009,type,
sK676: $i > $i ).
thf(func_def_1028,type,
sK695: $o ).
thf(func_def_1048,type,
sK715: $i > $i ).
thf(func_def_1057,type,
sK724: $i > $i > $i > $i > $i ).
thf(func_def_1058,type,
sK725: $o ).
thf(func_def_1062,type,
sK729: $i > $o ).
thf(func_def_1065,type,
sK732: $i > ( $i > $o ) > $i ).
thf(func_def_1067,type,
sK734: $o ).
thf(func_def_1080,type,
sK747: $i > $i > $i ).
thf(func_def_1081,type,
sK748: $i > $i > $i ).
thf(func_def_1082,type,
sK749: $i > $i > $i ).
thf(func_def_1083,type,
sK750: $i > $i > $i ).
thf(func_def_1084,type,
sK751: $i > $i > $i > $i ).
thf(func_def_1085,type,
sK752: $i > $i ).
thf(func_def_1086,type,
sK753: $i > $i ).
thf(func_def_1087,type,
sK754: $i > $i ).
thf(func_def_1088,type,
sK755: $i > $i ).
thf(func_def_1089,type,
sK756: $i > $i > $i ).
thf(func_def_1090,type,
sK757: $i > $i > $i > $i ).
thf(func_def_1091,type,
sK758: $i > $i > $i > $i ).
thf(func_def_1092,type,
sK759: $i > $i > $i ).
thf(func_def_1093,type,
sK760: $i > $i > $i ).
thf(func_def_1094,type,
sK761: $i > $i ).
thf(func_def_1095,type,
sK762: $i > $i > $i ).
thf(func_def_1097,type,
sK764: $i > $i ).
thf(func_def_1098,type,
sK765: $i > $i ).
thf(func_def_1103,type,
sK770: $i > $i > $i > $i ).
thf(func_def_1104,type,
sK771: $i > $i > $i > $i ).
thf(func_def_1119,type,
sK786: $i > $o ).
thf(func_def_1127,type,
sK794: $i > $i > $o ).
thf(func_def_1137,type,
sK804: $i > $i > $i ).
thf(func_def_1141,type,
sK808: $i > $i ).
thf(func_def_1155,type,
sK822: $o ).
thf(func_def_1160,type,
sK827: $i > $o ).
thf(func_def_1167,type,
sK834: $i > $o ).
thf(func_def_1168,type,
sK835: $i > $o ).
thf(func_def_1169,type,
sK836: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_1170,type,
sK837: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_1188,type,
sK855: $i > $i > $i ).
thf(func_def_1196,type,
sK863: $o ).
thf(func_def_1203,type,
sK870: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1206,type,
sK873: $i > $i ).
thf(func_def_1215,type,
sK882: $i > $i > $o ).
thf(func_def_1219,type,
sK886: $o ).
thf(func_def_1230,type,
sK897: $i > $i > $o ).
thf(func_def_1232,type,
sK899: $i > $i ).
thf(func_def_1233,type,
sK900: $i > $i ).
thf(func_def_1234,type,
sK901: $i > ( $i > $i > $o ) > $i ).
thf(func_def_1235,type,
sK902: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_1236,type,
sK903: $i > ( $i > $i > $o ) > $i ).
thf(func_def_1238,type,
sK905: $i > $i > $i > $i ).
thf(func_def_1242,type,
sK909: $i > $i > $i > $i ).
thf(func_def_1243,type,
sK910: $i > ( $i > $o ) > $i ).
thf(func_def_1244,type,
sK911: $i > $o ).
thf(f264,axiom,
! [X1: $i,X0: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X0 ) )
=> ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X1 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) ) ) ) )
= intersectInPowersetIntersectUnions ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersectInPowersetIntersectUnions) ).
thf(f286,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
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X0 ) )
=> ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X1 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',woz1_3) ).
thf(f287,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
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X0 ) )
=> ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X1 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f286]) ).
thf(f504,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X1 ) )
=> ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) ) ) ) )
= intersectInPowersetIntersectUnions ),
inference(rectify,[],[f264]) ).
thf(f505,plain,
( ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X1 ) )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ ( powerset @ X1 ) )
= $true )
=> ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) )
= $true ) ) ) )
<=> ( intersectInPowersetIntersectUnions = $true ) ),
inference(fool_elimination,[],[f504]) ).
thf(f766,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
=> ! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X1 ) )
=> ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f287]) ).
thf(f767,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 )
=> ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X1 ) )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ ( powerset @ X1 ) )
= $true )
=> ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f766]) ).
thf(f1109,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) )
= $true )
| ( ( in @ X3 @ ( powerset @ X1 ) )
!= $true ) )
| ( ( in @ X2 @ ( powerset @ X1 ) )
!= $true ) ) )
<=> ( intersectInPowersetIntersectUnions = $true ) ),
inference(ennf_transformation,[],[f505]) ).
thf(f1189,plain,
( ? [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
& ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ ( powerset @ X1 ) )
= $true )
& ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) )
!= $true ) )
& ( ( in @ X2 @ ( powerset @ X1 ) )
= $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,[],[f767]) ).
thf(f1190,plain,
( ( doubleComplementSub2 = $true )
& ( inCongP = $true )
& ( demorgan1b = $true )
& ( quantDeMorgan1 = $true )
& ( complementTnotintersectT = $true )
& ( iftrueProp1 = $true )
& ( contrasubsetT3 = $true )
& ( emptyI = $true )
& ( binunionTEcontra = $true )
& ( doubleComplementEq = $true )
& ( dpsetconstrSub = $true )
& ( in__Cong = $true )
& ( symdiffE = $true )
& ( contraSubsetComplement = $true )
& ( singletonsubset = $true )
& ( setOfPairsIsBReln = $true )
& ( demorgan2b2 = $true )
& ( binunionEcases = $true )
& ( notdallE = $true )
& ( ifp = $true )
& ( woz13rule4 = $true )
& ( binunionIR = $true )
& ( ksndsingleton = $true )
& ( complementTE1 = $true )
& ( iftrueProp2 = $true )
& ( upairinpowunion = $true )
& ( setunionAx = $true )
& ( setminusT_lem = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( woz13rule2 = $true )
& ( setextT = $true )
& ( setminusLsub = $true )
& ( ap2p = $true )
& ( wellorderingAx = $true )
& ( powersetsubset = $true )
& ( funcGraphProp4 = $true )
& ( woz13rule0 = $true )
& ( iftrueorfalse = $true )
& ( woz1_1 = $true )
& ( dpsetconstrEL1 = $true )
& ( setminusERneg = $true )
& ( quantDeMorgan3 = $true )
& ( setadjoinAx = $true )
& ( demorgan2a1 = $true )
& ( beta1 = $true )
& ( emptyinunitempty = $true )
& ( setextAx = $true )
& ( notsubsetI = $true )
& ( setukpairIL = $true )
& ( bs114d = $true )
& ( doubleComplementI1 = $true )
& ( omegaIndAx = $true )
& ( inIntersectImpInUnion2 = $true )
& ( subsetI2 = $true )
& ( setminusI = $true )
& ( cartprodpairmemEL = $true )
& ( setukpairIR = $true )
& ( complementTcontraSubset = $true )
& ( subsetemptysetimpeq = $true )
& ( nonemptyI = $true )
& ( iffalse = $true )
& ( emptyInPowerset = $true )
& ( symdiffIneg1 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( woz13rule1 = $true )
& ( lamProp = $true )
& ( ubforcartprodlem3 = $true )
& ( notequalI2 = $true )
& ( binunionIL = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( exuE3u = $true )
& ( kfstpairEq = $true )
& ( setunionE = $true )
& ( foundationAx = $true )
& ( woz1_2 = $true )
& ( nonemptyE1 = $true )
& ( setukpairinjL = $true )
& ( ksndpairEq = $true )
& ( upairequniteq = $true )
& ( setunionI = $true )
& ( upairsetIR = $true )
& ( setextsub = $true )
& ( cartprodmempair1 = $true )
& ( iftrue = $true )
& ( sepSubset = $true )
& ( setunionE2 = $true )
& ( powersetE1 = $true )
& ( dpsetconstrER = $true )
& ( singletoninpowunion = $true )
& ( cartprodmempair = $true )
& ( binunionTIRcontra = $true )
& ( setadjoinIR = $true )
& ( upairsetE = $true )
& ( setadjoinSub = $true )
& ( funcextLem = $true )
& ( funcext = $true )
& ( singletonsuniq = $true )
& ( singletonprop = $true )
& ( emptysetAx = $true )
& ( exuE3e = $true )
& ( setminusILneg = $true )
& ( dsetconstrI = $true )
& ( funcGraphProp1 = $true )
& ( cartprodfstin = $true )
& ( binintersectTELcontra = $true )
& ( subsetTrans = $true )
& ( demorgan2 = $true )
& ( dpsetconstrI = $true )
& ( demorgan2a2 = $true )
& ( demorgan2a = $true )
& ( ex1I2 = $true )
& ( ap2apEq1 = $true )
& ( dsetconstrER = $true )
& ( vacuousDall = $true )
& ( setadjoin__Cong = $true )
& ( sepInPowerset = $true )
& ( ex1E1 = $true )
& ( binunionLsub = $true )
& ( exuI3 = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( setunion__Cong = $true )
& ( powersetI = $true )
& ( setukpairinjR = $true )
& ( eqinunit = $true )
& ( infuncsetfunc = $true )
& ( contrasubsetT = $true )
& ( funcext2 = $true )
& ( ex1E2 = $true )
& ( binintersectSubset1 = $true )
& ( beta2 = $true )
& ( powerset__Cong = $true )
& ( setminusIRneg = $true )
& ( descr__Cong = $true )
& ( setext = $true )
& ( powersetE = $true )
& ( setukpairinjR1 = $true )
& ( binunionE = $true )
& ( upairsubunion = $true )
& ( subsetI1 = $true )
& ( setminusSubset1 = $true )
& ( setminusELneg = $true )
& ( binunionT_lem = $true )
& ( replAx = $true )
& ( kpairp = $true )
& ( ubforcartprodlem2 = $true )
& ( inPowerset = $true )
& ( binintersectI = $true )
& ( symdiffIneg2 = $true )
& ( kfstsingleton = $true )
& ( complementImpComplementIntersect = $true )
& ( subsetE = $true )
& ( apProp = $true )
& ( contrasubsetT1 = $true )
& ( lam2lamEq = $true )
& ( setukpairinjL1 = $true )
& ( notinsingleton = $true )
& ( dsetconstr__Cong = $true )
& ( woz13rule3 = $true )
& ( disjointsetsI1 = $true )
& ( subbreln = $true )
& ( brelnall1 = $true )
& ( setadjoinSub2 = $true )
& ( app = $true )
& ( binintersectLsub = $true )
& ( eqbreln = $true )
& ( demorgan1a = $true )
& ( exu__Cong = $true )
& ( setoftrueEq = $true )
& ( setunionsingleton1 = $true )
& ( exuE2 = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( cartprodpairsurjEq = $true )
& ( setadjoinOr = $true )
& ( cartprodfstpairEq = $true )
& ( binintersectTERcontra = $true )
& ( exuE1 = $true )
& ( setunionsingleton2 = $true )
& ( setbeta = $true )
& ( setminusSubset2 = $true )
& ( upairset2E = $true )
& ( theprop = $true )
& ( complementTI1 = $true )
& ( eta1 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( setukpairinjR12 = $true )
& ( doubleComplementE1 = $true )
& ( notequalI1 = $true )
& ( notdexE = $true )
& ( uniqinunit = $true )
& ( dsetconstrEL = $true )
& ( subset2powerset = $true )
& ( noeltsimpempty = $true )
& ( binintersectER = $true )
& ( brelnall2 = $true )
& ( binintersectEL = $true )
& ( binunionTE = $true )
& ( complementT_lem = $true )
& ( cartprodpairmemER = $true )
& ( doubleComplementSub1 = $true )
& ( eqimpsubset1 = $true )
& ( emptyinPowerset = $true )
& ( setminusER = $true )
& ( prop2setE = $true )
& ( ubforcartprodlem1 = $true )
& ( subPowSU = $true )
& ( omega__Cong = $true )
& ( prop2set2propI = $true )
& ( binintersectSubset4 = $true )
& ( ifSingleton = $true )
& ( eqimpsubset2 = $true )
& ( subsetTI = $true )
& ( omegaSAx = $true )
& ( iffalseProp1 = $true )
& ( exuI1 = $true )
& ( descrp = $true )
& ( emptysetE = $true )
& ( binintersectRsub = $true )
& ( funcImageSingleton = $true )
& ( ap2apEq2 = $true )
& ( setukpairinjR2 = $true )
& ( emptysetsubset = $true )
& ( setminusEL = $true )
& ( secondinupair = $true )
& ( setukpairinjL2 = $true )
& ( singletoninpowerset = $true )
& ( emptyset__Cong = $true )
& ( binintersectSubset2 = $true )
& ( cartprodmempaircEq = $true )
& ( powersetT_lem = $true )
& ( demorgan2b = $true )
& ( nonemptyI1 = $true )
& ( cartprodsndin = $true )
& ( subsetRefl = $true )
& ( complementSubsetComplementIntersect = $true )
& ( ex1I = $true )
& ( quantDeMorgan2 = $true )
& ( funcGraphProp3 = $true )
& ( symdiffI2 = $true )
& ( lam2p = $true )
& ( setunionsingleton = $true )
& ( funcGraphProp2 = $true )
& ( contrasubsetT2 = $true )
& ( setadjoinE = $true )
& ( quantDeMorgan4 = $true )
& ( cartprodsndpairEq = $true )
& ( lamp = $true )
& ( iffalseProp2 = $true )
& ( kpairiskpair = $true )
& ( dpsetconstrERa = $true )
& ( singletonsswitch = $true )
& ( binunionTILcontra = $true )
& ( exuEu = $true )
& ( setadjoinIL = $true )
& ( inIntersectImpInUnion = $true )
& ( dpsetconstrEL2 = $true )
& ( omega0Ax = $true )
& ( cartprodpairin = $true )
& ? [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
& ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ X3 @ ( powerset @ X1 ) )
= $true )
& ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) )
!= $true ) )
& ( ( in @ X2 @ ( powerset @ X1 ) )
= $true ) ) )
& ( notinemptyset = $true )
& ( subsetE2 = $true )
& ( funcinfuncset = $true )
& ( binintersectT_lem = $true )
& ( powersetTI1 = $true )
& ( prop2setI = $true )
& ( upairsetIL = $true )
& ( eta2 = $true )
& ( binunionRsub = $true )
& ( kpairsurjEq = $true )
& ( emptysetimpfalse = $true )
& ( powersetTE1 = $true )
& ( binintersectSubset5 = $true )
& ( setukpairinjR11 = $true )
& ( exuI2 = $true )
& ( upairset2IR = $true )
& ( powersetAx = $true )
& ( theeq = $true )
& ( demorgan1 = $true )
& ( powersetI1 = $true )
& ( emptyE1 = $true )
& ( binintersectSubset3 = $true )
& ( symdiffI1 = $true )
& ( nonemptyImpWitness = $true ) ),
inference(flattening,[],[f1189]) ).
thf(f1604,plain,
( ( doubleComplementSub2 = $true )
& ( inCongP = $true )
& ( demorgan1b = $true )
& ( quantDeMorgan1 = $true )
& ( complementTnotintersectT = $true )
& ( iftrueProp1 = $true )
& ( contrasubsetT3 = $true )
& ( emptyI = $true )
& ( binunionTEcontra = $true )
& ( doubleComplementEq = $true )
& ( dpsetconstrSub = $true )
& ( in__Cong = $true )
& ( symdiffE = $true )
& ( contraSubsetComplement = $true )
& ( singletonsubset = $true )
& ( setOfPairsIsBReln = $true )
& ( demorgan2b2 = $true )
& ( binunionEcases = $true )
& ( notdallE = $true )
& ( ifp = $true )
& ( woz13rule4 = $true )
& ( binunionIR = $true )
& ( ksndsingleton = $true )
& ( complementTE1 = $true )
& ( iftrueProp2 = $true )
& ( upairinpowunion = $true )
& ( setunionAx = $true )
& ( setminusT_lem = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( woz13rule2 = $true )
& ( setextT = $true )
& ( setminusLsub = $true )
& ( ap2p = $true )
& ( wellorderingAx = $true )
& ( powersetsubset = $true )
& ( funcGraphProp4 = $true )
& ( woz13rule0 = $true )
& ( iftrueorfalse = $true )
& ( woz1_1 = $true )
& ( dpsetconstrEL1 = $true )
& ( setminusERneg = $true )
& ( quantDeMorgan3 = $true )
& ( setadjoinAx = $true )
& ( demorgan2a1 = $true )
& ( beta1 = $true )
& ( emptyinunitempty = $true )
& ( setextAx = $true )
& ( notsubsetI = $true )
& ( setukpairIL = $true )
& ( bs114d = $true )
& ( doubleComplementI1 = $true )
& ( omegaIndAx = $true )
& ( inIntersectImpInUnion2 = $true )
& ( subsetI2 = $true )
& ( setminusI = $true )
& ( cartprodpairmemEL = $true )
& ( setukpairIR = $true )
& ( complementTcontraSubset = $true )
& ( subsetemptysetimpeq = $true )
& ( nonemptyI = $true )
& ( iffalse = $true )
& ( emptyInPowerset = $true )
& ( symdiffIneg1 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( woz13rule1 = $true )
& ( lamProp = $true )
& ( ubforcartprodlem3 = $true )
& ( notequalI2 = $true )
& ( binunionIL = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( exuE3u = $true )
& ( kfstpairEq = $true )
& ( setunionE = $true )
& ( foundationAx = $true )
& ( woz1_2 = $true )
& ( nonemptyE1 = $true )
& ( setukpairinjL = $true )
& ( ksndpairEq = $true )
& ( upairequniteq = $true )
& ( setunionI = $true )
& ( upairsetIR = $true )
& ( setextsub = $true )
& ( cartprodmempair1 = $true )
& ( iftrue = $true )
& ( sepSubset = $true )
& ( setunionE2 = $true )
& ( powersetE1 = $true )
& ( dpsetconstrER = $true )
& ( singletoninpowunion = $true )
& ( cartprodmempair = $true )
& ( binunionTIRcontra = $true )
& ( setadjoinIR = $true )
& ( upairsetE = $true )
& ( setadjoinSub = $true )
& ( funcextLem = $true )
& ( funcext = $true )
& ( singletonsuniq = $true )
& ( singletonprop = $true )
& ( emptysetAx = $true )
& ( exuE3e = $true )
& ( setminusILneg = $true )
& ( dsetconstrI = $true )
& ( funcGraphProp1 = $true )
& ( cartprodfstin = $true )
& ( binintersectTELcontra = $true )
& ( subsetTrans = $true )
& ( demorgan2 = $true )
& ( dpsetconstrI = $true )
& ( demorgan2a2 = $true )
& ( demorgan2a = $true )
& ( ex1I2 = $true )
& ( ap2apEq1 = $true )
& ( dsetconstrER = $true )
& ( vacuousDall = $true )
& ( setadjoin__Cong = $true )
& ( sepInPowerset = $true )
& ( ex1E1 = $true )
& ( binunionLsub = $true )
& ( exuI3 = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( setunion__Cong = $true )
& ( powersetI = $true )
& ( setukpairinjR = $true )
& ( eqinunit = $true )
& ( infuncsetfunc = $true )
& ( contrasubsetT = $true )
& ( funcext2 = $true )
& ( ex1E2 = $true )
& ( binintersectSubset1 = $true )
& ( beta2 = $true )
& ( powerset__Cong = $true )
& ( setminusIRneg = $true )
& ( descr__Cong = $true )
& ( setext = $true )
& ( powersetE = $true )
& ( setukpairinjR1 = $true )
& ( binunionE = $true )
& ( upairsubunion = $true )
& ( subsetI1 = $true )
& ( setminusSubset1 = $true )
& ( setminusELneg = $true )
& ( binunionT_lem = $true )
& ( replAx = $true )
& ( kpairp = $true )
& ( ubforcartprodlem2 = $true )
& ( inPowerset = $true )
& ( binintersectI = $true )
& ( symdiffIneg2 = $true )
& ( kfstsingleton = $true )
& ( complementImpComplementIntersect = $true )
& ( subsetE = $true )
& ( apProp = $true )
& ( contrasubsetT1 = $true )
& ( lam2lamEq = $true )
& ( setukpairinjL1 = $true )
& ( notinsingleton = $true )
& ( dsetconstr__Cong = $true )
& ( woz13rule3 = $true )
& ( disjointsetsI1 = $true )
& ( subbreln = $true )
& ( brelnall1 = $true )
& ( setadjoinSub2 = $true )
& ( app = $true )
& ( binintersectLsub = $true )
& ( eqbreln = $true )
& ( demorgan1a = $true )
& ( exu__Cong = $true )
& ( setoftrueEq = $true )
& ( setunionsingleton1 = $true )
& ( exuE2 = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( cartprodpairsurjEq = $true )
& ( setadjoinOr = $true )
& ( cartprodfstpairEq = $true )
& ( binintersectTERcontra = $true )
& ( exuE1 = $true )
& ( setunionsingleton2 = $true )
& ( setbeta = $true )
& ( setminusSubset2 = $true )
& ( upairset2E = $true )
& ( theprop = $true )
& ( complementTI1 = $true )
& ( eta1 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( setukpairinjR12 = $true )
& ( doubleComplementE1 = $true )
& ( notequalI1 = $true )
& ( notdexE = $true )
& ( uniqinunit = $true )
& ( dsetconstrEL = $true )
& ( subset2powerset = $true )
& ( noeltsimpempty = $true )
& ( binintersectER = $true )
& ( brelnall2 = $true )
& ( binintersectEL = $true )
& ( binunionTE = $true )
& ( complementT_lem = $true )
& ( cartprodpairmemER = $true )
& ( doubleComplementSub1 = $true )
& ( eqimpsubset1 = $true )
& ( emptyinPowerset = $true )
& ( setminusER = $true )
& ( prop2setE = $true )
& ( ubforcartprodlem1 = $true )
& ( subPowSU = $true )
& ( omega__Cong = $true )
& ( prop2set2propI = $true )
& ( binintersectSubset4 = $true )
& ( ifSingleton = $true )
& ( eqimpsubset2 = $true )
& ( subsetTI = $true )
& ( omegaSAx = $true )
& ( iffalseProp1 = $true )
& ( exuI1 = $true )
& ( descrp = $true )
& ( emptysetE = $true )
& ( binintersectRsub = $true )
& ( funcImageSingleton = $true )
& ( ap2apEq2 = $true )
& ( setukpairinjR2 = $true )
& ( emptysetsubset = $true )
& ( setminusEL = $true )
& ( secondinupair = $true )
& ( setukpairinjL2 = $true )
& ( singletoninpowerset = $true )
& ( emptyset__Cong = $true )
& ( binintersectSubset2 = $true )
& ( cartprodmempaircEq = $true )
& ( powersetT_lem = $true )
& ( demorgan2b = $true )
& ( nonemptyI1 = $true )
& ( cartprodsndin = $true )
& ( subsetRefl = $true )
& ( complementSubsetComplementIntersect = $true )
& ( ex1I = $true )
& ( quantDeMorgan2 = $true )
& ( funcGraphProp3 = $true )
& ( symdiffI2 = $true )
& ( lam2p = $true )
& ( setunionsingleton = $true )
& ( funcGraphProp2 = $true )
& ( contrasubsetT2 = $true )
& ( setadjoinE = $true )
& ( quantDeMorgan4 = $true )
& ( cartprodsndpairEq = $true )
& ( lamp = $true )
& ( iffalseProp2 = $true )
& ( kpairiskpair = $true )
& ( dpsetconstrERa = $true )
& ( singletonsswitch = $true )
& ( binunionTILcontra = $true )
& ( exuEu = $true )
& ( setadjoinIL = $true )
& ( inIntersectImpInUnion = $true )
& ( dpsetconstrEL2 = $true )
& ( omega0Ax = $true )
& ( cartprodpairin = $true )
& ( $true
= ( in @ sK373 @ ( powerset @ sK374 ) ) )
& ( ( in @ sK376 @ ( powerset @ sK374 ) )
= $true )
& ( ( in @ ( binintersect @ sK373 @ sK375 ) @ ( powerset @ ( binintersect @ ( binunion @ sK373 @ sK376 ) @ ( binunion @ sK375 @ sK376 ) ) ) )
!= $true )
& ( ( in @ sK375 @ ( powerset @ sK374 ) )
= $true )
& ( notinemptyset = $true )
& ( subsetE2 = $true )
& ( funcinfuncset = $true )
& ( binintersectT_lem = $true )
& ( powersetTI1 = $true )
& ( prop2setI = $true )
& ( upairsetIL = $true )
& ( eta2 = $true )
& ( binunionRsub = $true )
& ( kpairsurjEq = $true )
& ( emptysetimpfalse = $true )
& ( powersetTE1 = $true )
& ( binintersectSubset5 = $true )
& ( setukpairinjR11 = $true )
& ( exuI2 = $true )
& ( upairset2IR = $true )
& ( powersetAx = $true )
& ( theeq = $true )
& ( demorgan1 = $true )
& ( powersetI1 = $true )
& ( emptyE1 = $true )
& ( binintersectSubset3 = $true )
& ( symdiffI1 = $true )
& ( nonemptyImpWitness = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK373,sK374,sK375,sK376]),skolemize(X0,sK373),skolemize(X1,sK374),skolemize(X2,sK375),skolemize(X3,sK376)],[f1190]) ).
thf(f2000,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) )
= $true )
| ( ( in @ X3 @ ( powerset @ X1 ) )
!= $true ) )
| ( ( in @ X2 @ ( powerset @ X1 ) )
!= $true ) ) )
| ( intersectInPowersetIntersectUnions != $true ) )
& ( ( intersectInPowersetIntersectUnions = $true )
| ? [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
& ? [X2: $i] :
( ? [X3: $i] :
( ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) )
!= $true )
& ( ( in @ X3 @ ( powerset @ X1 ) )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X1 ) )
= $true ) ) ) ) ),
inference(nnf_transformation,[],[f1109]) ).
thf(f2001,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) )
= $true )
| ( ( in @ X3 @ ( powerset @ X1 ) )
!= $true ) )
| ( ( in @ X2 @ ( powerset @ X1 ) )
!= $true ) ) )
| ( intersectInPowersetIntersectUnions != $true ) )
& ( ( intersectInPowersetIntersectUnions = $true )
| ? [X4: $i,X5: $i] :
( ( ( in @ X4 @ ( powerset @ X5 ) )
= $true )
& ? [X6: $i] :
( ? [X7: $i] :
( ( ( in @ ( binintersect @ X4 @ X6 ) @ ( powerset @ ( binintersect @ ( binunion @ X4 @ X7 ) @ ( binunion @ X6 @ X7 ) ) ) )
!= $true )
& ( ( in @ X7 @ ( powerset @ X5 ) )
= $true ) )
& ( ( in @ X6 @ ( powerset @ X5 ) )
= $true ) ) ) ) ),
inference(rectify,[],[f2000]) ).
thf(f2002,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ! [X2: $i] :
( ! [X3: $i] :
( ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) )
= $true )
| ( ( in @ X3 @ ( powerset @ X1 ) )
!= $true ) )
| ( ( in @ X2 @ ( powerset @ X1 ) )
!= $true ) ) )
| ( intersectInPowersetIntersectUnions != $true ) )
& ( ( intersectInPowersetIntersectUnions = $true )
| ( ( ( in @ sK790 @ ( powerset @ sK791 ) )
= $true )
& ( ( in @ ( binintersect @ sK790 @ sK792 ) @ ( powerset @ ( binintersect @ ( binunion @ sK790 @ sK793 ) @ ( binunion @ sK792 @ sK793 ) ) ) )
!= $true )
& ( ( in @ sK793 @ ( powerset @ sK791 ) )
= $true )
& ( ( in @ sK792 @ ( powerset @ sK791 ) )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK790,sK791,sK792,sK793]),skolemize(X4,sK790),skolemize(X5,sK791),skolemize(X6,sK792),skolemize(X7,sK793)],[f2001]) ).
thf(f2645,plain,
( ( in @ sK375 @ ( powerset @ sK374 ) )
= $true ),
inference(cnf_transformation,[],[f1604]) ).
thf(f2646,plain,
( ( in @ ( binintersect @ sK373 @ sK375 ) @ ( powerset @ ( binintersect @ ( binunion @ sK373 @ sK376 ) @ ( binunion @ sK375 @ sK376 ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f1604]) ).
thf(f2647,plain,
( ( in @ sK376 @ ( powerset @ sK374 ) )
= $true ),
inference(cnf_transformation,[],[f1604]) ).
thf(f2648,plain,
( $true
= ( in @ sK373 @ ( powerset @ sK374 ) ) ),
inference(cnf_transformation,[],[f1604]) ).
thf(f2836,plain,
intersectInPowersetIntersectUnions = $true,
inference(cnf_transformation,[],[f1604]) ).
thf(f3459,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ ( binintersect @ X0 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X0 @ X3 ) @ ( binunion @ X2 @ X3 ) ) ) )
= $true )
| ( ( in @ X2 @ ( powerset @ X1 ) )
!= $true )
| ( ( in @ X3 @ ( powerset @ X1 ) )
!= $true )
| ( ( in @ X0 @ ( powerset @ X1 ) )
!= $true )
| ( intersectInPowersetIntersectUnions != $true ) ),
inference(cnf_transformation,[],[f2002]) ).
thf(f3887,plain,
! [X0: $i] :
( ( ( in @ sK375 @ ( powerset @ X0 ) )
!= $true )
| ( intersectInPowersetIntersectUnions != $true )
| ( ( in @ sK376 @ ( powerset @ X0 ) )
!= $true )
| ( $true
!= ( in @ sK373 @ ( powerset @ X0 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f2646,f3459]) ).
thf(f3906,plain,
! [X0: $i] :
( ( ( in @ sK375 @ ( powerset @ X0 ) )
!= $true )
| ( intersectInPowersetIntersectUnions != $true )
| ( $true
!= ( in @ sK373 @ ( powerset @ X0 ) ) )
| ( ( in @ sK376 @ ( powerset @ X0 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f3887]) ).
thf(f3917,plain,
! [X0: $i] :
( ( $true
!= ( in @ sK373 @ ( powerset @ X0 ) ) )
| ( ( in @ sK376 @ ( powerset @ X0 ) )
!= $true )
| ( ( in @ sK375 @ ( powerset @ X0 ) )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f3906,f2836]) ).
thf(f4352,plain,
( ( ( in @ sK375 @ ( powerset @ sK374 ) )
!= $true )
| ( $true != $true )
| ( ( in @ sK376 @ ( powerset @ sK374 ) )
!= $true ) ),
inference(constrained_superposition,[],[f3917,f2648]) ).
thf(f4364,plain,
( ( ( in @ sK375 @ ( powerset @ sK374 ) )
!= $true )
| ( ( in @ sK376 @ ( powerset @ sK374 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f4352]) ).
thf(f4374,plain,
( ( in @ sK376 @ ( powerset @ sK374 ) )
!= $true ),
inference(forward_subsumption_resolution,[],[f4364,f2645]) ).
thf(f4382,plain,
$false,
inference(forward_subsumption_resolution,[],[f4374,f2647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU765^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 14:23:33 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.21/0.29 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.21/0.51 % (852247)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.21/0.51 % (852255)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2176318391:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.21/0.51 % (852262)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.21/0.51 % (852262)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.21/0.51 % (852256)lrs+10_16_si=on:nwc=1.5:random_seed=3762826614:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.21/0.51 % (852257)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3988667993:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.21/0.51 % (852260)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=913383508:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.21/0.51 % (852258)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=1707529605: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)
% 1.21/0.51 % (852261)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=532574233:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.21/0.51 % (852262)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=1906392866:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.21/0.51 % (852257)Instruction limit reached!
% 1.21/0.51 % (852257)------------------------------
% 1.21/0.51 % (852257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.51 % (852257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.51 % (852257)CaDiCaL version: 2.1.3
% 1.21/0.51 % (852257)Termination reason: Instruction limit
% 1.21/0.51 % (852257)Termination phase: shuffling
% 1.21/0.51 % (852257)Time elapsed: 0.004 s
% 1.21/0.51 % (852257)Peak memory usage: 10 MB
% 1.21/0.51 % (852257)Instructions burned: 4 (million)
% 1.21/0.51 % (852256)Instruction limit reached!
% 1.21/0.51 % (852256)------------------------------
% 1.21/0.51 % (852256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.51 % (852256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.51 % (852256)CaDiCaL version: 2.1.3
% 1.21/0.51 % (852256)Termination reason: Instruction limit
% 1.21/0.51 % (852256)Termination phase: shuffling
% 1.21/0.51 % (852256)Time elapsed: 0.016 s
% 1.21/0.51 % (852256)Peak memory usage: 10 MB
% 1.21/0.51 % (852256)Instructions burned: 18 (million)
% 1.21/0.51 % (852255)Instruction limit reached!
% 1.21/0.51 % (852255)------------------------------
% 1.21/0.51 % (852255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.51 % (852255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.51 % (852255)CaDiCaL version: 2.1.3
% 1.21/0.51 % (852255)Termination reason: Instruction limit
% 1.21/0.51 % (852255)Termination phase: Preprocessing 3
% 1.21/0.51 % (852255)Time elapsed: 0.039 s
% 1.21/0.51 % (852255)Peak memory usage: 12 MB
% 1.21/0.51 % (852255)Instructions burned: 88 (million)
% 1.21/0.51 % (852260)Instruction limit reached!
% 1.21/0.51 % (852260)------------------------------
% 1.21/0.51 % (852260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.51 % (852260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.51 % (852260)CaDiCaL version: 2.1.3
% 1.21/0.51 % (852260)Termination reason: Instruction limit
% 1.21/0.51 % (852260)Termination phase: shuffling
% 1.21/0.51 % (852260)Time elapsed: 0.021 s
% 1.21/0.51 % (852260)Peak memory usage: 10 MB
% 1.21/0.51 % (852260)Instructions burned: 24 (million)
% 1.21/0.51 % (852274)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.21/0.51 % (852271)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1702819135:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.21/0.51 % (852274)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3777592565:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.88/0.60 % (852271)Instruction limit reached!
% 1.88/0.60 % (852271)------------------------------
% 1.88/0.60 % (852271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.60 % (852271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.60 % (852271)CaDiCaL version: 2.1.3
% 1.88/0.60 % (852271)Termination reason: Instruction limit
% 1.88/0.60 % (852271)Termination phase: shuffling
% 1.88/0.60 % (852271)Time elapsed: 0.003 s
% 1.88/0.60 % (852271)Peak memory usage: 10 MB
% 1.88/0.60 % (852271)Instructions burned: 2 (million)
% 1.88/0.60 % (852274)Instruction limit reached!
% 1.88/0.60 % (852274)------------------------------
% 1.88/0.60 % (852274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.60 % (852274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.60 % (852274)CaDiCaL version: 2.1.3
% 1.88/0.60 % (852274)Termination reason: Instruction limit
% 1.88/0.60 % (852274)Termination phase: shuffling
% 1.88/0.60 % (852274)Time elapsed: 0.003 s
% 1.88/0.60 % (852274)Peak memory usage: 10 MB
% 1.88/0.60 % (852274)Instructions burned: 7 (million)
% 1.88/0.60 % (852273)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1148194976:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.88/0.60 % (852273)Instruction limit reached!
% 1.88/0.60 % (852273)------------------------------
% 1.88/0.60 % (852273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.60 % (852273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.60 % (852273)CaDiCaL version: 2.1.3
% 1.88/0.60 % (852273)Termination reason: Instruction limit
% 1.88/0.60 % (852273)Termination phase: shuffling
% 1.88/0.60 % (852273)Time elapsed: 0.006 s
% 1.88/0.60 % (852273)Peak memory usage: 10 MB
% 1.88/0.60 % (852273)Instructions burned: 6 (million)
% 1.88/0.60 % (852275)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1929299720:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.88/0.60 % (852280)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=1622569025:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.88/0.60 % (852261)Instruction limit reached!
% 1.88/0.60 % (852261)------------------------------
% 1.88/0.60 % (852261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.60 % (852261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.60 % (852261)CaDiCaL version: 2.1.3
% 1.88/0.60 % (852261)Termination reason: Instruction limit
% 1.88/0.60 % (852261)Termination phase: Preprocessing 3
% 1.88/0.60 % (852261)Time elapsed: 0.061 s
% 1.88/0.60 % (852261)Peak memory usage: 12 MB
% 1.88/0.60 % (852261)Instructions burned: 75 (million)
% 1.88/0.60 % (852275)Instruction limit reached!
% 1.88/0.60 % (852275)------------------------------
% 1.88/0.60 % (852275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.60 % (852275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.60 % (852275)CaDiCaL version: 2.1.3
% 1.88/0.60 % (852275)Termination reason: Instruction limit
% 1.88/0.60 % (852275)Termination phase: shuffling
% 1.88/0.60 % (852275)Time elapsed: 0.012 s
% 1.88/0.60 % (852275)Peak memory usage: 10 MB
% 1.88/0.60 % (852275)Instructions burned: 13 (million)
% 1.88/0.60 % (852279)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.88/0.60 % (852279)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.88/0.60 % (852279)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3930703296:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.88/0.60 % (852285)lrs+10_1_si=on:cs=on:random_seed=4170763787:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.88/0.60 % (852287)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 2.20/0.65 % (852285)Instruction limit reached!
% 2.20/0.65 % (852285)------------------------------
% 2.20/0.65 % (852285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.65 % (852285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.65 % (852285)CaDiCaL version: 2.1.3
% 2.20/0.65 % (852280)Instruction limit reached!
% 2.20/0.65 % (852280)------------------------------
% 2.20/0.65 % (852280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.65 % (852285)Termination reason: Instruction limit
% 2.20/0.65 % (852285)Termination phase: shuffling
% 2.20/0.65 % (852285)Time elapsed: 0.009 s
% 2.20/0.65 % (852285)Peak memory usage: 10 MB
% 2.20/0.65 % (852280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.65 % (852285)Instructions burned: 8 (million)
% 2.20/0.65 % (852280)CaDiCaL version: 2.1.3
% 2.20/0.65 % (852280)Termination reason: Instruction limit
% 2.20/0.65 % (852280)Termination phase: Property scanning
% 2.20/0.65 % (852280)Time elapsed: 0.036 s
% 2.20/0.65 % (852280)Peak memory usage: 11 MB
% 2.20/0.65 % (852280)Instructions burned: 87 (million)
% 2.20/0.65 % (852287)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=1759134931:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.20/0.65 % (852279)Instruction limit reached!
% 2.20/0.65 % (852279)------------------------------
% 2.20/0.65 % (852279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.65 % (852279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.65 % (852279)CaDiCaL version: 2.1.3
% 2.20/0.65 % (852279)Termination reason: Instruction limit
% 2.20/0.65 % (852279)Termination phase: shuffling
% 2.20/0.65 % (852279)Time elapsed: 0.026 s
% 2.20/0.65 % (852279)Peak memory usage: 10 MB
% 2.20/0.65 % (852279)Instructions burned: 29 (million)
% 2.20/0.65 % (852289)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=828291007:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 2.20/0.65 % (852287)Instruction limit reached!
% 2.20/0.65 % (852287)------------------------------
% 2.20/0.65 % (852287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.65 % (852287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.65 % (852287)CaDiCaL version: 2.1.3
% 2.20/0.65 % (852287)Termination reason: Instruction limit
% 2.20/0.65 % (852287)Termination phase: shuffling
% 2.20/0.65 % (852287)Time elapsed: 0.003 s
% 2.20/0.65 % (852287)Peak memory usage: 10 MB
% 2.20/0.65 % (852287)Instructions burned: 2 (million)
% 2.20/0.65 % (852294)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4117994615:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 2.20/0.65 % (852262)Instruction limit reached!
% 2.20/0.65 % (852262)------------------------------
% 2.20/0.65 % (852262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.65 % (852262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.65 % (852262)CaDiCaL version: 2.1.3
% 2.20/0.65 % (852262)Termination reason: Instruction limit
% 2.20/0.65 % (852262)Termination phase: Property scanning
% 2.20/0.65 % (852262)Time elapsed: 0.125 s
% 2.20/0.65 % (852262)Peak memory usage: 12 MB
% 2.20/0.65 % (852262)Instructions burned: 157 (million)
% 2.20/0.65 % (852289)Instruction limit reached!
% 2.20/0.65 % (852289)------------------------------
% 2.20/0.65 % (852289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.65 % (852296)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=455214542:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.20/0.65 % (852289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.65 % (852289)CaDiCaL version: 2.1.3
% 2.20/0.65 % (852289)Termination reason: Instruction limit
% 2.20/0.65 % (852289)Termination phase: Property scanning
% 2.20/0.65 % (852289)Time elapsed: 0.032 s
% 2.20/0.65 % (852289)Peak memory usage: 11 MB
% 2.20/0.65 % (852289)Instructions burned: 38 (million)
% 2.20/0.65 % (852299)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3021356293:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.20/0.65 % (852298)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2126299738:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.41/0.78 % (852298)Instruction limit reached!
% 2.41/0.78 % (852298)------------------------------
% 2.41/0.78 % (852298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.78 % (852298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.78 % (852298)CaDiCaL version: 2.1.3
% 2.41/0.78 % (852298)Termination reason: Instruction limit
% 2.41/0.78 % (852298)Termination phase: shuffling
% 2.41/0.78 % (852298)Time elapsed: 0.013 s
% 2.41/0.78 % (852298)Peak memory usage: 10 MB
% 2.41/0.78 % (852298)Instructions burned: 14 (million)
% 2.41/0.78 % (852296)Instruction limit reached!
% 2.41/0.78 % (852296)------------------------------
% 2.41/0.78 % (852296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.78 % (852296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.78 % (852296)CaDiCaL version: 2.1.3
% 2.41/0.78 % (852296)Termination reason: Instruction limit
% 2.41/0.78 % (852296)Termination phase: shuffling
% 2.41/0.78 % (852296)Time elapsed: 0.022 s
% 2.41/0.78 % (852296)Peak memory usage: 10 MB
% 2.41/0.78 % (852296)Instructions burned: 25 (million)
% 2.41/0.78 % (852304)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2357397267:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 2.41/0.78 % (852308)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2012279715:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.41/0.78 % (852304)Instruction limit reached!
% 2.41/0.78 % (852304)------------------------------
% 2.41/0.78 % (852304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.78 % (852304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.78 % (852304)CaDiCaL version: 2.1.3
% 2.41/0.78 % (852304)Termination reason: Instruction limit
% 2.41/0.78 % (852304)Termination phase: shuffling
% 2.41/0.78 % (852304)Time elapsed: 0.007 s
% 2.41/0.78 % (852304)Peak memory usage: 10 MB
% 2.41/0.78 % (852304)Instructions burned: 15 (million)
% 2.41/0.78 % (852308)Instruction limit reached!
% 2.41/0.78 % (852308)------------------------------
% 2.41/0.78 % (852308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.78 % (852308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.78 % (852308)CaDiCaL version: 2.1.3
% 2.41/0.78 % (852308)Termination reason: Instruction limit
% 2.41/0.78 % (852308)Termination phase: shuffling
% 2.41/0.78 % (852308)Time elapsed: 0.004 s
% 2.41/0.78 % (852308)Peak memory usage: 10 MB
% 2.41/0.78 % (852308)Instructions burned: 3 (million)
% 2.41/0.78 % (852313)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4273879459:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.41/0.78 % (852314)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=534679537:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.41/0.78 % (852313)Instruction limit reached!
% 2.41/0.78 % (852313)------------------------------
% 2.41/0.78 % (852313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.78 % (852313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.78 % (852313)CaDiCaL version: 2.1.3
% 2.41/0.78 % (852313)Termination reason: Instruction limit
% 2.41/0.78 % (852313)Termination phase: shuffling
% 2.41/0.78 % (852313)Time elapsed: 0.023 s
% 2.41/0.78 % (852313)Peak memory usage: 10 MB
% 2.41/0.78 % (852313)Instructions burned: 27 (million)
% 2.41/0.78 % (852314)Instruction limit reached!
% 2.41/0.78 % (852314)------------------------------
% 2.41/0.78 % (852314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.78 % (852314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.78 % (852314)CaDiCaL version: 2.1.3
% 2.41/0.78 % (852314)Termination reason: Instruction limit
% 2.41/0.78 % (852314)Termination phase: shuffling
% 2.41/0.78 % (852314)Time elapsed: 0.022 s
% 2.41/0.78 % (852314)Peak memory usage: 10 MB
% 2.41/0.78 % (852314)Instructions burned: 26 (million)
% 2.41/0.78 % (852317)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=194237333:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.41/0.78 % (852318)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
% 2.88/0.87 % (852318)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.88/0.87 % (852294)Instruction limit reached!
% 2.88/0.87 % (852294)------------------------------
% 2.88/0.87 % (852294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.87 % (852294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.87 % (852294)CaDiCaL version: 2.1.3
% 2.88/0.87 % (852294)Termination reason: Instruction limit
% 2.88/0.87 % (852294)Termination phase: Saturation
% 2.88/0.87 % (852294)Time elapsed: 0.106 s
% 2.88/0.87 % (852294)Peak memory usage: 15 MB
% 2.88/0.87 % (852294)Instructions burned: 250 (million)
% 2.88/0.87 % (852318)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=3618510849:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.88/0.87 % (852322)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.88/0.87 % (852318)Instruction limit reached!
% 2.88/0.87 % (852318)------------------------------
% 2.88/0.87 % (852318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.87 % (852318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.87 % (852318)CaDiCaL version: 2.1.3
% 2.88/0.87 % (852318)Termination reason: Instruction limit
% 2.88/0.87 % (852318)Termination phase: shuffling
% 2.88/0.87 % (852318)Time elapsed: 0.012 s
% 2.88/0.87 % (852318)Peak memory usage: 10 MB
% 2.88/0.87 % (852318)Instructions burned: 14 (million)
% 2.88/0.87 % (852325)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3874485711:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.88/0.87 % (852322)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=3855785895:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.88/0.87 % (852325)Instruction limit reached!
% 2.88/0.87 % (852325)------------------------------
% 2.88/0.87 % (852325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.87 % (852325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.87 % (852325)CaDiCaL version: 2.1.3
% 2.88/0.87 % (852325)Termination reason: Instruction limit
% 2.88/0.87 % (852325)Termination phase: shuffling
% 2.88/0.87 % (852325)Time elapsed: 0.004 s
% 2.88/0.87 % (852325)Peak memory usage: 10 MB
% 2.88/0.87 % (852325)Instructions burned: 8 (million)
% 2.88/0.87 % (852323)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=512666520:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.88/0.87 % (852322)Instruction limit reached!
% 2.88/0.87 % (852322)------------------------------
% 2.88/0.87 % (852322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.87 % (852322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.87 % (852322)CaDiCaL version: 2.1.3
% 2.88/0.87 % (852322)Termination reason: Instruction limit
% 2.88/0.87 % (852322)Termination phase: shuffling
% 2.88/0.87 % (852322)Time elapsed: 0.007 s
% 2.88/0.87 % (852322)Peak memory usage: 10 MB
% 2.88/0.87 % (852322)Instructions burned: 8 (million)
% 2.88/0.87 % (852327)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=581269629:i=23:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/23Mi)
% 2.88/0.87 % (852317)Instruction limit reached!
% 2.88/0.87 % (852317)------------------------------
% 2.88/0.87 % (852317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.87 % (852317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.87 % (852317)CaDiCaL version: 2.1.3
% 2.88/0.87 % (852327)Instruction limit reached!
% 2.88/0.87 % (852327)------------------------------
% 2.88/0.87 % (852327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.87 % (852317)Termination reason: Instruction limit
% 2.88/0.87 % (852317)Termination phase: Preprocessing 3
% 2.88/0.87 % (852317)Time elapsed: 0.051 s
% 3.37/0.92 % (852317)Peak memory usage: 11 MB
% 3.37/0.92 % (852327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.92 % (852317)Instructions burned: 60 (million)
% 3.37/0.92 % (852327)CaDiCaL version: 2.1.3
% 3.37/0.92 % (852327)Termination reason: Instruction limit
% 3.37/0.92 % (852327)Termination phase: shuffling
% 3.37/0.92 % (852327)Time elapsed: 0.010 s
% 3.37/0.92 % (852327)Peak memory usage: 10 MB
% 3.37/0.92 % (852327)Instructions burned: 23 (million)
% 3.37/0.92 % (852323)Instruction limit reached!
% 3.37/0.92 % (852323)------------------------------
% 3.37/0.92 % (852323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.92 % (852323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.92 % (852323)CaDiCaL version: 2.1.3
% 3.37/0.92 % (852323)Termination reason: Instruction limit
% 3.37/0.92 % (852323)Termination phase: shuffling
% 3.37/0.92 % (852323)Time elapsed: 0.027 s
% 3.37/0.92 % (852323)Peak memory usage: 11 MB
% 3.37/0.92 % (852323)Instructions burned: 32 (million)
% 3.37/0.92 % (852331)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4278831143:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 3.37/0.92 % (852334)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3211118175:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 3.37/0.92 % (852332)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3757722839:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 3.37/0.92 % (852331)Instruction limit reached!
% 3.37/0.92 % (852331)------------------------------
% 3.37/0.92 % (852331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.92 % (852331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.92 % (852331)CaDiCaL version: 2.1.3
% 3.37/0.92 % (852331)Termination reason: Instruction limit
% 3.37/0.92 % (852331)Termination phase: shuffling
% 3.37/0.92 % (852331)Time elapsed: 0.040 s
% 3.37/0.92 % (852331)Peak memory usage: 11 MB
% 3.37/0.92 % (852331)Instructions burned: 20 (million)
% 3.37/0.92 % (852335)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1428174709:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 3.37/0.92 % (852336)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1638460485:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 3.37/0.92 % (852340)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.37/0.92 % (852340)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1802101556:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2995 on theBenchmark for (2995ds/7Mi)
% 3.37/0.92 % (852340)Instruction limit reached!
% 3.37/0.92 % (852340)------------------------------
% 3.37/0.92 % (852340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.92 % (852340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.92 % (852340)CaDiCaL version: 2.1.3
% 3.37/0.92 % (852340)Termination reason: Instruction limit
% 3.37/0.92 % (852340)Termination phase: shuffling
% 3.37/0.92 % (852340)Time elapsed: 0.004 s
% 3.37/0.92 % (852340)Peak memory usage: 10 MB
% 3.37/0.92 % (852340)Instructions burned: 9 (million)
% 3.37/0.92 % (852299)Instruction limit reached!
% 3.37/0.92 % (852299)------------------------------
% 3.37/0.92 % (852299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.92 % (852299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.92 % (852299)CaDiCaL version: 2.1.3
% 3.37/0.92 % (852299)Termination reason: Instruction limit
% 3.37/0.92 % (852299)Termination phase: Saturation
% 3.37/0.92 % (852299)Time elapsed: 0.267 s
% 3.37/0.92 % (852299)Peak memory usage: 16 MB
% 3.37/0.92 % (852299)Instructions burned: 327 (million)
% 3.37/0.92 % (852336)Instruction limit reached!
% 3.37/0.92 % (852336)------------------------------
% 3.37/0.92 % (852336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.92 % (852336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.92 % (852336)CaDiCaL version: 2.1.3
% 3.37/0.92 % (852336)Termination reason: Instruction limit
% 3.37/0.92 % (852336)Termination phase: Property scanning
% 3.37/0.92 % (852336)Time elapsed: 0.050 s
% 3.37/0.92 % (852336)Peak memory usage: 11 MB
% 3.37/1.01 % (852336)Instructions burned: 42 (million)
% 3.37/1.01 % (852334)Instruction limit reached!
% 3.37/1.01 % (852334)------------------------------
% 3.37/1.01 % (852334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/1.01 % (852334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.01 % (852334)CaDiCaL version: 2.1.3
% 3.37/1.01 % (852334)Termination reason: Instruction limit
% 3.37/1.01 % (852334)Termination phase: Property scanning
% 3.37/1.01 % (852334)Time elapsed: 0.114 s
% 3.37/1.01 % (852334)Peak memory usage: 12 MB
% 3.37/1.01 % (852334)Instructions burned: 144 (million)
% 3.37/1.01 % (852344)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=726559180:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/181Mi)
% 3.37/1.01 % (852346)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.37/1.01 % (852345)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=2238533273:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/169Mi)
% 3.37/1.01 % (852346)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1133231527:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 3.37/1.01 % (852346)Instruction limit reached!
% 3.37/1.01 % (852346)------------------------------
% 3.37/1.01 % (852346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/1.01 % (852346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.01 % (852346)CaDiCaL version: 2.1.3
% 3.37/1.01 % (852346)Termination reason: Instruction limit
% 3.37/1.01 % (852346)Termination phase: shuffling
% 3.37/1.01 % (852346)Time elapsed: 0.006 s
% 3.37/1.01 % (852346)Peak memory usage: 10 MB
% 3.37/1.01 % (852346)Instructions burned: 7 (million)
% 3.37/1.01 % (852347)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3919062903:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.37/1.01 % (852347)Instruction limit reached!
% 3.37/1.01 % (852347)------------------------------
% 3.37/1.01 % (852347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/1.01 % (852347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.01 % (852347)CaDiCaL version: 2.1.3
% 3.37/1.01 % (852347)Termination reason: Instruction limit
% 3.37/1.01 % (852347)Termination phase: shuffling
% 3.37/1.01 % (852347)Time elapsed: 0.017 s
% 3.37/1.01 % (852347)Peak memory usage: 11 MB
% 3.37/1.01 % (852347)Instructions burned: 24 (million)
% 3.37/1.01 % (852351)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=43792538:i=19:add=on:rtra=on_2994 on theBenchmark for (2994ds/19Mi)
% 3.37/1.01 % (852335)Instruction limit reached!
% 3.37/1.01 % (852335)------------------------------
% 3.37/1.01 % (852335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/1.01 % (852335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.01 % (852335)CaDiCaL version: 2.1.3
% 3.37/1.01 % (852335)Termination reason: Instruction limit
% 3.37/1.01 % (852335)Termination phase: Saturation
% 3.37/1.01 % (852335)Time elapsed: 0.137 s
% 3.37/1.01 % (852335)Peak memory usage: 13 MB
% 3.37/1.01 % (852335)Instructions burned: 193 (million)
% 3.37/1.01 % (852353)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=3922319731:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/316Mi)
% 3.37/1.01 % (852344)Instruction limit reached!
% 3.37/1.01 % (852344)------------------------------
% 3.37/1.01 % (852344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/1.01 % (852344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.01 % (852344)CaDiCaL version: 2.1.3
% 3.37/1.01 % (852344)Termination reason: Instruction limit
% 3.37/1.01 % (852344)Termination phase: Saturation
% 3.37/1.01 % (852344)Time elapsed: 0.069 s
% 3.37/1.01 % (852344)Peak memory usage: 13 MB
% 3.37/1.01 % (852344)Instructions burned: 185 (million)
% 3.37/1.01 % (852351)Instruction limit reached!
% 3.37/1.01 % (852351)------------------------------
% 3.37/1.01 % (852351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852351)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852351)Termination reason: Instruction limit
% 4.73/1.09 % (852351)Termination phase: shuffling
% 4.73/1.09 % (852351)Time elapsed: 0.012 s
% 4.73/1.09 % (852351)Peak memory usage: 10 MB
% 4.73/1.09 % (852351)Instructions burned: 20 (million)
% 4.73/1.09 % (852358)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=2472619530:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2994 on theBenchmark for (2994ds/45Mi)
% 4.73/1.09 % (852356)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=1135921262:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2994 on theBenchmark for (2994ds/853Mi)
% 4.73/1.09 % (852359)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2915890478:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 4.73/1.09 % (852358)Instruction limit reached!
% 4.73/1.09 % (852358)------------------------------
% 4.73/1.09 % (852358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852358)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852358)Termination reason: Instruction limit
% 4.73/1.09 % (852358)Termination phase: Property scanning
% 4.73/1.09 % (852358)Time elapsed: 0.010 s
% 4.73/1.09 % (852358)Peak memory usage: 11 MB
% 4.73/1.09 % (852358)Instructions burned: 47 (million)
% 4.73/1.09 % (852365)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3515819240:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 4.73/1.09 % (852345)Instruction limit reached!
% 4.73/1.09 % (852345)------------------------------
% 4.73/1.09 % (852345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852345)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852345)Termination reason: Instruction limit
% 4.73/1.09 % (852345)Termination phase: Property scanning
% 4.73/1.09 % (852345)Time elapsed: 0.089 s
% 4.73/1.09 % (852345)Peak memory usage: 12 MB
% 4.73/1.09 % (852345)Instructions burned: 170 (million)
% 4.73/1.09 % (852365)Instruction limit reached!
% 4.73/1.09 % (852365)------------------------------
% 4.73/1.09 % (852365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852365)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852365)Termination reason: Instruction limit
% 4.73/1.09 % (852365)Termination phase: shuffling
% 4.73/1.09 % (852365)Time elapsed: 0.005 s
% 4.73/1.09 % (852365)Peak memory usage: 10 MB
% 4.73/1.09 % (852365)Instructions burned: 22 (million)
% 4.73/1.09 % (852368)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4103218643:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2993 on theBenchmark for (2993ds/13Mi)
% 4.73/1.09 % (852258)Instruction limit reached!
% 4.73/1.09 % (852258)------------------------------
% 4.73/1.09 % (852258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852258)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852258)Termination reason: Instruction limit
% 4.73/1.09 % (852258)Termination phase: Saturation
% 4.73/1.09 % (852258)Time elapsed: 0.545 s
% 4.73/1.09 % (852258)Peak memory usage: 21 MB
% 4.73/1.09 % (852258)Instructions burned: 634 (million)
% 4.73/1.09 % (852367)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 4.73/1.09 % (852368)Instruction limit reached!
% 4.73/1.09 % (852368)------------------------------
% 4.73/1.09 % (852368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852368)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852368)Termination reason: Instruction limit
% 4.73/1.09 % (852368)Termination phase: shuffling
% 4.73/1.09 % (852368)Time elapsed: 0.004 s
% 4.73/1.09 % (852368)Peak memory usage: 10 MB
% 4.73/1.09 % (852368)Instructions burned: 18 (million)
% 4.73/1.09 % (852367)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=280259847:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/200Mi)
% 4.73/1.09 % (852371)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=410766469:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 4.73/1.09 % (852370)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=52486626:i=66:s2at=3:nm=2:rtra=on:rawr=on_2993 on theBenchmark for (2993ds/66Mi)
% 4.73/1.09 % (852371)Instruction limit reached!
% 4.73/1.09 % (852371)------------------------------
% 4.73/1.09 % (852371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852371)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852371)Termination reason: Instruction limit
% 4.73/1.09 % (852371)Termination phase: Property scanning
% 4.73/1.09 % (852371)Time elapsed: 0.012 s
% 4.73/1.09 % (852371)Peak memory usage: 11 MB
% 4.73/1.09 % (852371)Instructions burned: 55 (million)
% 4.73/1.09 % (852375)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2859352373:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 4.73/1.09 % (852375)Instruction limit reached!
% 4.73/1.09 % (852375)------------------------------
% 4.73/1.09 % (852375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852375)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852375)Termination reason: Instruction limit
% 4.73/1.09 % (852375)Termination phase: shuffling
% 4.73/1.09 % (852375)Time elapsed: 0.007 s
% 4.73/1.09 % (852375)Peak memory usage: 10 MB
% 4.73/1.09 % (852375)Instructions burned: 33 (million)
% 4.73/1.09 % (852370)Instruction limit reached!
% 4.73/1.09 % (852370)------------------------------
% 4.73/1.09 % (852370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852370)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852370)Termination reason: Instruction limit
% 4.73/1.09 % (852370)Termination phase: Property scanning
% 4.73/1.09 % (852370)Time elapsed: 0.028 s
% 4.73/1.09 % (852370)Peak memory usage: 11 MB
% 4.73/1.09 % (852370)Instructions burned: 66 (million)
% 4.73/1.09 % (852377)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1924283983:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 4.73/1.09 % (852378)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=312972842:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 4.73/1.09 % (852378)Instruction limit reached!
% 4.73/1.09 % (852378)------------------------------
% 4.73/1.09 % (852378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852378)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852378)Termination reason: Instruction limit
% 4.73/1.09 % (852378)Termination phase: shuffling
% 4.73/1.09 % (852378)Time elapsed: 0.015 s
% 4.73/1.09 % (852378)Peak memory usage: 10 MB
% 4.73/1.09 % (852378)Instructions burned: 35 (million)
% 4.73/1.09 % (852377)Instruction limit reached!
% 4.73/1.09 % (852377)------------------------------
% 4.73/1.09 % (852377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852377)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852377)Termination reason: Instruction limit
% 4.73/1.09 % (852377)Termination phase: Property scanning
% 4.73/1.09 % (852377)Time elapsed: 0.034 s
% 4.73/1.09 % (852377)Peak memory usage: 12 MB
% 4.73/1.09 % (852377)Instructions burned: 156 (million)
% 4.73/1.09 % (852353)Instruction limit reached!
% 4.73/1.09 % (852353)------------------------------
% 4.73/1.09 % (852353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852353)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852353)Termination reason: Instruction limit
% 4.73/1.09 % (852353)Termination phase: Saturation
% 4.73/1.09 % (852353)Time elapsed: 0.146 s
% 4.73/1.09 % (852353)Peak memory usage: 15 MB
% 4.73/1.09 % (852353)Instructions burned: 322 (million)
% 4.73/1.09 % (852367)Instruction limit reached!
% 4.73/1.09 % (852367)------------------------------
% 4.73/1.09 % (852367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852367)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852367)Termination reason: Instruction limit
% 4.73/1.09 % (852367)Termination phase: Saturation
% 4.73/1.09 % (852367)Time elapsed: 0.102 s
% 4.73/1.09 % (852367)Peak memory usage: 14 MB
% 4.73/1.09 % (852367)Instructions burned: 200 (million)
% 4.73/1.09 % (852383)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=603082680:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 4.73/1.09 % (852384)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=691162575:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 4.73/1.09 % (852382)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.73/1.09 % (852381)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2565871280:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 4.73/1.09 % (852382)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1001986001:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 4.73/1.09 % (852384)Instruction limit reached!
% 4.73/1.09 % (852384)------------------------------
% 4.73/1.09 % (852384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852384)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852384)Termination reason: Instruction limit
% 4.73/1.09 % (852384)Termination phase: Property scanning
% 4.73/1.09 % (852384)Time elapsed: 0.022 s
% 4.73/1.09 % (852384)Peak memory usage: 12 MB
% 4.73/1.09 % (852384)Instructions burned: 99 (million)
% 4.73/1.09 % (852393)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3028785137:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 4.73/1.09 % (852381)Instruction limit reached!
% 4.73/1.09 % (852381)------------------------------
% 4.73/1.09 % (852381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852381)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852381)Termination reason: Instruction limit
% 4.73/1.09 % (852381)Termination phase: Property scanning
% 4.73/1.09 % (852381)Time elapsed: 0.032 s
% 4.73/1.09 % (852381)Peak memory usage: 11 MB
% 4.73/1.09 % (852381)Instructions burned: 68 (million)
% 4.73/1.09 % (852359) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-852247-852359"...
% 4.73/1.09 % (852359)...printing done.
% 4.73/1.09 % (852359)Refutation found. Thanks to Tanya!
% 4.73/1.09 % SZS status Theorem for theBenchmark
% 4.73/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 4.73/1.09 % (852359)------------------------------
% 4.73/1.09 % (852359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.73/1.09 % (852359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.09 % (852359)CaDiCaL version: 2.1.3
% 4.73/1.09 % (852359)Termination reason: Refutation
% 4.73/1.09 % (852359)Time elapsed: 0.191 s
% 4.73/1.09 % (852359)Peak memory usage: 18 MB
% 4.73/1.09 % (852359)Instructions burned: 392 (million)
% 4.73/1.09 % (852247)Success in time 0.79 s
% 4.73/1.09 % Vampire exiting
%------------------------------------------------------------------------------