%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU760^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 08:31:10 AM UTC 2026
% Result : Theorem 1.94s 0.70s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 21 unt; 0 typ; 6 def)
% Number of atoms : 4576 (1210 equ; 0 cnn)
% Maximal formula atoms : 281 ( 75 avg)
% Number of connectives : 2393 ( 72 ~; 62 |; 852 &; 271 @)
% ( 10 <=>;1126 =>; 0 <=; 0 <~>)
% Maximal formula depth : 290 ( 36 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 508 ( 505 usr; 313 con; 0-4 aty)
% Number of variables : 87 ( 0 sgn 69 !; 18 ?; 87 :)
% 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_317,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_318,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_319,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_320,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_321,type,
vNOT: $o > $o ).
thf(func_def_322,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_323,type,
vAND: $o > $o > $o ).
thf(func_def_324,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_325,type,
vIMP: $o > $o > $o ).
thf(func_def_326,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_327,type,
vOR: $o > $o > $o ).
thf(func_def_328,type,
sP0: $i > $i > $o ).
thf(func_def_329,type,
sP1: $i > $o ).
thf(func_def_330,type,
sP2: $o ).
thf(func_def_331,type,
sP3: $o ).
thf(func_def_357,type,
sK29: $i > $i > $i ).
thf(func_def_362,type,
sK34: ( $i > $o ) > $i ).
thf(func_def_363,type,
sK35: ( $i > $o ) > $i ).
thf(func_def_364,type,
sK36: $i > $o ).
thf(func_def_366,type,
sK38: ( $i > $o ) > $i > $i ).
thf(func_def_368,type,
sK40: $i > $o ).
thf(func_def_376,type,
sK48: $o ).
thf(func_def_377,type,
sK49: $o > $i > $i > $i ).
thf(func_def_383,type,
sK55: $o ).
thf(func_def_390,type,
sK62: $o ).
thf(func_def_392,type,
sK64: $i > $i ).
thf(func_def_394,type,
sK66: $i > $o ).
thf(func_def_395,type,
sK67: $i > $o ).
thf(func_def_396,type,
sK68: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_397,type,
sK69: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_405,type,
sK77: $i > $o ).
thf(func_def_419,type,
sK91: $i > $i ).
thf(func_def_420,type,
sK92: ( $i > $i ) > $i > $i > $i ).
thf(func_def_422,type,
sK94: $i > $i > $o ).
thf(func_def_423,type,
sK95: $i > $i ).
thf(func_def_424,type,
sK96: $i > $i ).
thf(func_def_425,type,
sK97: ( $i > $i > $o ) > $i > $i ).
thf(func_def_426,type,
sK98: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_427,type,
sK99: ( $i > $i > $o ) > $i > $i ).
thf(func_def_428,type,
sK100: $i > $o ).
thf(func_def_431,type,
sK103: $i > $i > ( $i > $o ) > $i ).
thf(func_def_442,type,
sK114: $i > $i > $o ).
thf(func_def_458,type,
sK130: ( $i > $o ) > $i ).
thf(func_def_459,type,
sK131: $i > $o ).
thf(func_def_464,type,
sK136: $i > $i > $i > $i ).
thf(func_def_472,type,
sK144: $o ).
thf(func_def_487,type,
sK159: $i > $o ).
thf(func_def_490,type,
sK162: $i > ( $i > $i ) > $i > $i ).
thf(func_def_492,type,
sK164: $i > $i ).
thf(func_def_497,type,
sK169: $i > $o ).
thf(func_def_499,type,
sK171: ( $i > $o ) > $i > $i ).
thf(func_def_500,type,
sK172: ( $i > $o ) > $i > $i ).
thf(func_def_504,type,
sK176: $i > $o ).
thf(func_def_506,type,
sK178: $i > $o ).
thf(func_def_530,type,
sK202: $i > $i > $i ).
thf(func_def_532,type,
sK204: $i > $i ).
thf(func_def_555,type,
sK227: $o ).
thf(func_def_583,type,
sK255: $i > ( $i > $o ) > $i ).
thf(func_def_584,type,
sK256: $i > ( $i > $o ) > $i ).
thf(func_def_585,type,
sK257: $i > $o ).
thf(func_def_603,type,
sK275: ( $i > $o ) > $i > $i ).
thf(func_def_605,type,
sK277: $i > $o ).
thf(func_def_645,type,
sK317: $o ).
thf(func_def_655,type,
sK327: $o ).
thf(func_def_659,type,
sK331: $i > ( $i > $i ) > $i > $i ).
thf(func_def_661,type,
sK333: $i > $i ).
thf(func_def_671,type,
sK343: $i > $i > $o ).
thf(func_def_677,type,
sK349: $i > $o ).
thf(func_def_679,type,
sK351: ( $i > $o ) > $i > $i ).
thf(func_def_690,type,
sK362: $o ).
thf(func_def_706,type,
sK378: $i > $o ).
thf(func_def_711,type,
sK383: $i > $i ).
thf(func_def_713,type,
sK385: $i > ( $i > $i ) > $i > $i ).
thf(func_def_717,type,
sK389: $i > $i ).
thf(func_def_721,type,
sK393: $i > $i > ( $i > $i ) > $i ).
thf(func_def_724,type,
sK396: $i > $i ).
thf(func_def_741,type,
sK413: $i > $i > $i > $i > $i ).
thf(func_def_742,type,
sK414: $i > $i > $i > $i > $i ).
thf(func_def_759,type,
sK431: $o ).
thf(func_def_765,type,
sK437: ( $i > $o ) > $i ).
thf(func_def_766,type,
sK438: $i > $o ).
thf(func_def_767,type,
sK439: $i > $i ).
thf(func_def_775,type,
sK447: $i > $o ).
thf(func_def_777,type,
sK449: $i > ( $i > $o ) > $i ).
thf(func_def_780,type,
sK452: $i > $i > $i ).
thf(func_def_784,type,
sK456: $i > $i > $i ).
thf(func_def_785,type,
sK457: $o ).
thf(func_def_793,type,
sK465: $i > $i > $i ).
thf(func_def_799,type,
sK471: $i > ( $i > $o ) > $i ).
thf(func_def_800,type,
sK472: $i > $o ).
thf(func_def_818,type,
sK490: $i > $o ).
thf(func_def_821,type,
sK493: $i > $o ).
thf(func_def_830,type,
sK502: $i > $i > $i > $i ).
thf(func_def_831,type,
sK503: $i > $i > $i > $i ).
thf(func_def_834,type,
sK506: $i > $o ).
thf(func_def_835,type,
sK507: $i > $o ).
thf(func_def_836,type,
sK508: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_837,type,
sK509: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_842,type,
sK514: $i > $i > $i > $i > $i ).
thf(func_def_853,type,
sK525: ( $i > $i ) > $i > $i > $i ).
thf(func_def_856,type,
sK528: $i > $i ).
thf(func_def_863,type,
sK535: $o ).
thf(func_def_873,type,
sK545: $i > $o ).
thf(func_def_880,type,
sK552: $i > $o ).
thf(func_def_881,type,
sK553: ( $i > $o ) > $i > $i ).
thf(func_def_889,type,
sK561: $o ).
thf(func_def_893,type,
sK565: $i > $i > $o ).
thf(func_def_909,type,
sK581: $o ).
thf(func_def_915,type,
sK587: $o ).
thf(func_def_924,type,
sK596: $i > $o ).
thf(func_def_925,type,
sK597: $i > $o ).
thf(func_def_926,type,
sK598: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_927,type,
sK599: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_929,type,
sK601: $i > $i ).
thf(func_def_930,type,
sK602: $i > $i ).
thf(func_def_931,type,
sK603: $i > $i ).
thf(func_def_932,type,
sK604: $i > $i ).
thf(func_def_933,type,
sK605: $i > $i ).
thf(func_def_934,type,
sK606: $i > $i > $i > $i ).
thf(func_def_935,type,
sK607: $i > $i ).
thf(func_def_936,type,
sK608: $i > $i ).
thf(func_def_937,type,
sK609: $i > $i ).
thf(func_def_938,type,
sK610: $i > $i ).
thf(func_def_939,type,
sK611: $i > $i > $i ).
thf(func_def_940,type,
sK612: $i > $i > $i ).
thf(func_def_941,type,
sK613: $i > $i > $i > $i ).
thf(func_def_942,type,
sK614: $i > $i > $i > $i ).
thf(func_def_943,type,
sK615: $i > $i > $i > $i ).
thf(func_def_944,type,
sK616: $i > $i > $i ).
thf(func_def_945,type,
sK617: $i > $i > $i ).
thf(func_def_946,type,
sK618: $i > $i > $i ).
thf(func_def_966,type,
sK638: $i > $i ).
thf(func_def_968,type,
sK640: $i > $i ).
thf(func_def_970,type,
sK642: $i > $o ).
thf(func_def_977,type,
sK649: $i > $i > $i ).
thf(func_def_978,type,
sK650: $i > $i > $i ).
thf(func_def_979,type,
sK651: ( $i > $o ) > $i > $i ).
thf(func_def_981,type,
sK653: $i > $o ).
thf(func_def_986,type,
sK658: $i > $i > $i ).
thf(func_def_1001,type,
sK673: $i > $i ).
thf(func_def_1013,type,
sK685: $i > $i > $i > $i > $i ).
thf(func_def_1014,type,
sK686: $i > $i > $i > $i > $i ).
thf(func_def_1015,type,
sK687: $i > $i > $i > $i > $i ).
thf(func_def_1016,type,
sK688: $i > $i > $i > $i > $i ).
thf(func_def_1019,type,
sK691: $o ).
thf(func_def_1025,type,
sK697: $i > $o ).
thf(func_def_1027,type,
sK699: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1028,type,
sK700: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1030,type,
sK702: $i > $o ).
thf(func_def_1036,type,
sK708: $i > $i > $i > $i > $i ).
thf(func_def_1041,type,
sK713: $i > $i > $o ).
thf(func_def_1046,type,
sK718: $o ).
thf(func_def_1053,type,
sK725: $o ).
thf(func_def_1058,type,
sK730: $i > $i > $i ).
thf(func_def_1064,type,
sK736: $i > $i > $o ).
thf(func_def_1073,type,
sK745: $i > $i > $i > $i > $i ).
thf(func_def_1103,type,
sK775: $i > $o ).
thf(func_def_1106,type,
sK778: $o ).
thf(func_def_1110,type,
sK782: $i > $i > $i > $i ).
thf(func_def_1111,type,
sK783: $i > $i > $i > $i ).
thf(func_def_1119,type,
sK791: $i > $o ).
thf(func_def_1128,type,
sK800: $i > $o ).
thf(func_def_1129,type,
sK801: $i > ( $i > $o ) > $i ).
thf(func_def_1130,type,
sK802: $i > $o ).
thf(func_def_1133,type,
sK805: $i > $i > $o ).
thf(func_def_1142,type,
sK814: $i > ( $i > $o ) > $i ).
thf(func_def_1143,type,
sK815: $i > $o ).
thf(func_def_1149,type,
sK821: $i > $i > $i ).
thf(func_def_1167,type,
sK839: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1168,type,
sK840: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1172,type,
sK844: $i > $o ).
thf(func_def_1180,type,
sK852: $i > $i > $o ).
thf(func_def_1192,type,
sK864: $i > $i > $i > $i ).
thf(func_def_1193,type,
sK865: $i > $o ).
thf(func_def_1194,type,
sK866: $i > $i ).
thf(func_def_1195,type,
sK867: ( $i > $o ) > $i ).
thf(func_def_1196,type,
sK868: $i > $i ).
thf(f89,axiom,
( subsetTrans
= ( ! [X2: $i,X1: $i,X0: $i] :
( ( subset @ X0 @ X1 )
=> ( ( subset @ X1 @ X2 )
=> ( subset @ X0 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetTrans) ).
thf(f116,axiom,
! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X1 )
= binintersectRsub ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectRsub) ).
thf(f281,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
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X0 ) )
=> ( ( subset @ X2 @ X3 )
=> ( subset @ ( binintersect @ X1 @ X2 ) @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',woz13rule2) ).
thf(f282,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
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X0 ) )
=> ( ( subset @ X2 @ X3 )
=> ( subset @ ( binintersect @ X1 @ X2 ) @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f281]) ).
thf(f404,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
=> ! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X1 ) )
=> ( ( subset @ X2 @ X3 )
=> ( subset @ ( binintersect @ X0 @ X2 ) @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f282]) ).
thf(f405,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 )
=> ! [X1: $i,X0: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
= $true )
=> ! [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
=> ! [X3: $i] :
( ( $true
= ( in @ X3 @ ( powerset @ X1 ) ) )
=> ( ( ( subset @ X2 @ X3 )
= $true )
=> ( ( subset @ ( binintersect @ X0 @ X2 ) @ X3 )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f404]) ).
thf(f717,plain,
( subsetTrans
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X2 @ X1 )
=> ( ( subset @ X1 @ X0 )
=> ( subset @ X2 @ X0 ) ) ) ) ),
inference(rectify,[],[f89]) ).
thf(f718,plain,
( ( subsetTrans = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( ( subset @ X2 @ X1 )
= $true )
=> ( ( ( subset @ X1 @ X0 )
= $true )
=> ( ( subset @ X2 @ X0 )
= $true ) ) ) ),
inference(fool_elimination,[],[f717]) ).
thf(f747,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X1 )
= binintersectRsub ),
inference(rectify,[],[f116]) ).
thf(f748,plain,
( ! [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X1 )
= $true )
<=> ( binintersectRsub = $true ) ),
inference(fool_elimination,[],[f747]) ).
thf(f891,plain,
( ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( subset @ ( binintersect @ X0 @ X2 ) @ X3 )
!= $true )
& ( ( subset @ X2 @ X3 )
= $true )
& ( $true
= ( in @ X3 @ ( powerset @ X1 ) ) ) )
& ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $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,[],[f405]) ).
thf(f892,plain,
( ( setminusERneg = $true )
& ( binintersectEL = $true )
& ( eqinunit = $true )
& ( binunionLsub = $true )
& ( emptyinPowerset = $true )
& ( setadjoin__Cong = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( setextAx = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( quantDeMorgan3 = $true )
& ( demorgan2a2 = $true )
& ( demorgan2b = $true )
& ( ap2apEq1 = $true )
& ( setukpairinjR = $true )
& ( inIntersectImpInUnion = $true )
& ( setukpairIL = $true )
& ( symdiffIneg2 = $true )
& ( emptyInPowerset = $true )
& ( symdiffI1 = $true )
& ( cartprodpairsurjEq = $true )
& ( beta1 = $true )
& ( funcext2 = $true )
& ( setOfPairsIsBReln = $true )
& ( powersetAx = $true )
& ( noeltsimpempty = $true )
& ( ifSingleton = $true )
& ( setukpairIR = $true )
& ( upairinpowunion = $true )
& ( iftrueProp2 = $true )
& ( vacuousDall = $true )
& ( setunionsingleton1 = $true )
& ( exuE3u = $true )
& ( nonemptyI = $true )
& ( omegaIndAx = $true )
& ( setoftrueEq = $true )
& ( eqimpsubset2 = $true )
& ( upairequniteq = $true )
& ( complementTE1 = $true )
& ( inCongP = $true )
& ( dsetconstr__Cong = $true )
& ( dsetconstrI = $true )
& ( emptysetsubset = $true )
& ( complementUnionInPowersetComplement = $true )
& ( exuI2 = $true )
& ( dpsetconstrEL1 = $true )
& ( demorgan1a = $true )
& ( nonemptyE1 = $true )
& ( subsetE2 = $true )
& ( dsetconstrER = $true )
& ( binunionT_lem = $true )
& ( secondinupair = $true )
& ( ap2p = $true )
& ( prop2set2propI = $true )
& ( brelnall2 = $true )
& ( kfstpairEq = $true )
& ( inIntersectImpInUnion2 = $true )
& ( beta2 = $true )
& ( wellorderingAx = $true )
& ( powersetE1 = $true )
& ( exuE3e = $true )
& ( iffalse = $true )
& ( upairsetE = $true )
& ( contrasubsetT2 = $true )
& ( binunionE = $true )
& ( exuI1 = $true )
& ( kpairiskpair = $true )
& ( inPowerset = $true )
& ( setminusI = $true )
& ( binunionEcases = $true )
& ( singletonsuniq = $true )
& ( notinemptyset = $true )
& ( sepSubset = $true )
& ( complementTcontraSubset = $true )
& ( complementSubsetComplementIntersect = $true )
& ( subbreln = $true )
& ( disjointsetsI1 = $true )
& ( setbeta = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( singletonsswitch = $true )
& ( exuI3 = $true )
& ( ap2apEq2 = $true )
& ( kpairsurjEq = $true )
& ( ubforcartprodlem2 = $true )
& ( binunionTIRcontra = $true )
& ( foundationAx = $true )
& ( doubleComplementE1 = $true )
& ( setadjoinE = $true )
& ( demorgan2 = $true )
& ( setext = $true )
& ( funcGraphProp2 = $true )
& ( kfstsingleton = $true )
& ( ex1E1 = $true )
& ( setminusIRneg = $true )
& ( cartprodsndpairEq = $true )
& ( emptysetimpfalse = $true )
& ( funcGraphProp1 = $true )
& ( singletoninpowerset = $true )
& ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) )
& ? [X3: $i] :
( ( ( subset @ X2 @ X3 )
= $true )
& ( $true
= ( in @ X3 @ ( powerset @ X1 ) ) )
& ( ( subset @ ( binintersect @ X0 @ X2 ) @ X3 )
!= $true ) ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
& ( singletonprop = $true )
& ( lam2p = $true )
& ( cartprodfstin = $true )
& ( cartprodpairmemEL = $true )
& ( doubleComplementSub1 = $true )
& ( setukpairinjR2 = $true )
& ( funcext = $true )
& ( lamProp = $true )
& ( setukpairinjR12 = $true )
& ( powerset__Cong = $true )
& ( cartprodmempair1 = $true )
& ( setukpairinjL1 = $true )
& ( doubleComplementI1 = $true )
& ( binintersectI = $true )
& ( funcextLem = $true )
& ( iffalseProp1 = $true )
& ( exuE2 = $true )
& ( complementTnotintersectT = $true )
& ( woz13rule0 = $true )
& ( omega__Cong = $true )
& ( emptyI = $true )
& ( subset2powerset = $true )
& ( cartprodpairin = $true )
& ( binintersectSubset4 = $true )
& ( subsetTrans = $true )
& ( binintersectSubset1 = $true )
& ( dsetconstrEL = $true )
& ( cartprodmempair = $true )
& ( cartprodsndin = $true )
& ( notdexE = $true )
& ( setukpairinjR11 = $true )
& ( setminusER = $true )
& ( setminusLsub = $true )
& ( omegaSAx = $true )
& ( prop2setI = $true )
& ( brelnall1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( upairsetIL = $true )
& ( setunionI = $true )
& ( demorgan2b2 = $true )
& ( binunionIR = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( funcGraphProp3 = $true )
& ( subPowSU = $true )
& ( powersetI1 = $true )
& ( exu__Cong = $true )
& ( setukpairinjR1 = $true )
& ( powersetT_lem = $true )
& ( lam2lamEq = $true )
& ( symdiffE = $true )
& ( setunion__Cong = $true )
& ( contrasubsetT = $true )
& ( dpsetconstrI = $true )
& ( app = $true )
& ( binunionTE = $true )
& ( singletoninpowunion = $true )
& ( ex1I2 = $true )
& ( upairsubunion = $true )
& ( setunionsingleton2 = $true )
& ( symdiffIneg1 = $true )
& ( subsetI1 = $true )
& ( descrp = $true )
& ( notsubsetI = $true )
& ( demorgan2a1 = $true )
& ( doubleComplementEq = $true )
& ( ifp = $true )
& ( ex1E2 = $true )
& ( binintersectTERcontra = $true )
& ( emptyset__Cong = $true )
& ( setminusSubset1 = $true )
& ( dpsetconstrEL2 = $true )
& ( upairsetIR = $true )
& ( setunionsingleton = $true )
& ( binintersectER = $true )
& ( cartprodpairmemER = $true )
& ( contrasubsetT1 = $true )
& ( singletonsubset = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( notdallE = $true )
& ( eta2 = $true )
& ( setunionAx = $true )
& ( complementTI1 = $true )
& ( eqimpsubset1 = $true )
& ( emptyinunitempty = $true )
& ( descr__Cong = $true )
& ( binintersectSubset5 = $true )
& ( dpsetconstrERa = $true )
& ( theeq = $true )
& ( quantDeMorgan2 = $true )
& ( ksndpairEq = $true )
& ( iftrueProp1 = $true )
& ( quantDeMorgan4 = $true )
& ( binunionTEcontra = $true )
& ( theprop = $true )
& ( setminusELneg = $true )
& ( setadjoinIL = $true )
& ( binintersectT_lem = $true )
& ( funcImageSingleton = $true )
& ( demorgan1b = $true )
& ( sepInPowerset = $true )
& ( uniqinunit = $true )
& ( binunionIL = $true )
& ( prop2setE = $true )
& ( subsetI2 = $true )
& ( complementImpComplementIntersect = $true )
& ( notequalI1 = $true )
& ( setukpairinjL = $true )
& ( cartprodmempaircEq = $true )
& ( contrasubsetT3 = $true )
& ( quantDeMorgan1 = $true )
& ( iftrueorfalse = $true )
& ( in__Cong = $true )
& ( setadjoinOr = $true )
& ( eqbreln = $true )
& ( upairset2IR = $true )
& ( funcGraphProp4 = $true )
& ( setminusILneg = $true )
& ( infuncsetfunc = $true )
& ( dpsetconstrSub = $true )
& ( setminusSubset2 = $true )
& ( binintersectSubset3 = $true )
& ( setunionE2 = $true )
& ( notinsingleton = $true )
& ( setukpairinjL2 = $true )
& ( powersetI = $true )
& ( demorgan1 = $true )
& ( upairset2E = $true )
& ( binintersectRsub = $true )
& ( subsetTI = $true )
& ( doubleComplementSub2 = $true )
& ( ex1I = $true )
& ( omega0Ax = $true )
& ( funcinfuncset = $true )
& ( ubforcartprodlem3 = $true )
& ( bs114d = $true )
& ( demorgan2a = $true )
& ( binunionTILcontra = $true )
& ( emptyE1 = $true )
& ( setadjoinSub2 = $true )
& ( subsetE = $true )
& ( lamp = $true )
& ( emptysetAx = $true )
& ( exuE1 = $true )
& ( powersetE = $true )
& ( woz13rule1 = $true )
& ( subsetRefl = $true )
& ( replAx = $true )
& ( exuEu = $true )
& ( setadjoinIR = $true )
& ( kpairp = $true )
& ( symdiffI2 = $true )
& ( setminusEL = $true )
& ( setadjoinSub = $true )
& ( powersetTI1 = $true )
& ( setadjoinAx = $true )
& ( binintersectTELcontra = $true )
& ( powersetTE1 = $true )
& ( iftrue = $true )
& ( complementT_lem = $true )
& ( powersetsubset = $true )
& ( binunionRsub = $true )
& ( ksndsingleton = $true )
& ( iffalseProp2 = $true )
& ( apProp = $true )
& ( setunionE = $true )
& ( emptysetE = $true )
& ( binintersectSubset2 = $true )
& ( setminusT_lem = $true )
& ( notequalI2 = $true )
& ( setextT = $true )
& ( dpsetconstrER = $true )
& ( ubforcartprodlem1 = $true )
& ( eta1 = $true )
& ( nonemptyI1 = $true )
& ( nonemptyImpWitness = $true )
& ( binintersectLsub = $true )
& ( cartprodfstpairEq = $true )
& ( contraSubsetComplement = $true ) ),
inference(flattening,[],[f891]) ).
thf(f960,plain,
( ( subsetTrans = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( ( subset @ X2 @ X0 )
= $true )
| ( ( subset @ X1 @ X0 )
!= $true )
| ( ( subset @ X2 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f718]) ).
thf(f961,plain,
( ( subsetTrans = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
= $true )
| ( ( subset @ X2 @ X1 )
!= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) ) ),
inference(flattening,[],[f960]) ).
thf(f1394,plain,
( ( ( subsetTrans = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
!= $true )
& ( ( subset @ X2 @ X1 )
= $true )
& ( ( subset @ X1 @ X0 )
= $true ) ) )
& ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
= $true )
| ( ( subset @ X2 @ X1 )
!= $true )
| ( ( subset @ X1 @ X0 )
!= $true ) )
| ( subsetTrans != $true ) ) ),
inference(nnf_transformation,[],[f961]) ).
thf(f1395,plain,
( ( ( subsetTrans = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X2 @ X0 )
!= $true )
& ( ( subset @ X2 @ X1 )
= $true )
& ( ( subset @ X1 @ X0 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( subset @ X5 @ X3 ) )
| ( $true
!= ( subset @ X5 @ X4 ) )
| ( $true
!= ( subset @ X4 @ X3 ) ) )
| ( subsetTrans != $true ) ) ),
inference(rectify,[],[f1394]) ).
thf(f1396,plain,
( ( ( subsetTrans = $true )
| ( ( ( subset @ sK192 @ sK190 )
!= $true )
& ( ( subset @ sK192 @ sK191 )
= $true )
& ( $true
= ( subset @ sK191 @ sK190 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( subset @ X5 @ X3 ) )
| ( $true
!= ( subset @ X5 @ X4 ) )
| ( $true
!= ( subset @ X4 @ X3 ) ) )
| ( subsetTrans != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK190,sK191,sK192]),skolemize(X0,sK190),skolemize(X1,sK191),skolemize(X2,sK192)],[f1395]) ).
thf(f1750,plain,
( ( setminusERneg = $true )
& ( binintersectEL = $true )
& ( eqinunit = $true )
& ( binunionLsub = $true )
& ( emptyinPowerset = $true )
& ( setadjoin__Cong = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( setextAx = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( quantDeMorgan3 = $true )
& ( demorgan2a2 = $true )
& ( demorgan2b = $true )
& ( ap2apEq1 = $true )
& ( setukpairinjR = $true )
& ( inIntersectImpInUnion = $true )
& ( setukpairIL = $true )
& ( symdiffIneg2 = $true )
& ( emptyInPowerset = $true )
& ( symdiffI1 = $true )
& ( cartprodpairsurjEq = $true )
& ( beta1 = $true )
& ( funcext2 = $true )
& ( setOfPairsIsBReln = $true )
& ( powersetAx = $true )
& ( noeltsimpempty = $true )
& ( ifSingleton = $true )
& ( setukpairIR = $true )
& ( upairinpowunion = $true )
& ( iftrueProp2 = $true )
& ( vacuousDall = $true )
& ( setunionsingleton1 = $true )
& ( exuE3u = $true )
& ( nonemptyI = $true )
& ( omegaIndAx = $true )
& ( setoftrueEq = $true )
& ( eqimpsubset2 = $true )
& ( upairequniteq = $true )
& ( complementTE1 = $true )
& ( inCongP = $true )
& ( dsetconstr__Cong = $true )
& ( dsetconstrI = $true )
& ( emptysetsubset = $true )
& ( complementUnionInPowersetComplement = $true )
& ( exuI2 = $true )
& ( dpsetconstrEL1 = $true )
& ( demorgan1a = $true )
& ( nonemptyE1 = $true )
& ( subsetE2 = $true )
& ( dsetconstrER = $true )
& ( binunionT_lem = $true )
& ( secondinupair = $true )
& ( ap2p = $true )
& ( prop2set2propI = $true )
& ( brelnall2 = $true )
& ( kfstpairEq = $true )
& ( inIntersectImpInUnion2 = $true )
& ( beta2 = $true )
& ( wellorderingAx = $true )
& ( powersetE1 = $true )
& ( exuE3e = $true )
& ( iffalse = $true )
& ( upairsetE = $true )
& ( contrasubsetT2 = $true )
& ( binunionE = $true )
& ( exuI1 = $true )
& ( kpairiskpair = $true )
& ( inPowerset = $true )
& ( setminusI = $true )
& ( binunionEcases = $true )
& ( singletonsuniq = $true )
& ( notinemptyset = $true )
& ( sepSubset = $true )
& ( complementTcontraSubset = $true )
& ( complementSubsetComplementIntersect = $true )
& ( subbreln = $true )
& ( disjointsetsI1 = $true )
& ( setbeta = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( singletonsswitch = $true )
& ( exuI3 = $true )
& ( ap2apEq2 = $true )
& ( kpairsurjEq = $true )
& ( ubforcartprodlem2 = $true )
& ( binunionTIRcontra = $true )
& ( foundationAx = $true )
& ( doubleComplementE1 = $true )
& ( setadjoinE = $true )
& ( demorgan2 = $true )
& ( setext = $true )
& ( funcGraphProp2 = $true )
& ( kfstsingleton = $true )
& ( ex1E1 = $true )
& ( setminusIRneg = $true )
& ( cartprodsndpairEq = $true )
& ( emptysetimpfalse = $true )
& ( funcGraphProp1 = $true )
& ( singletoninpowerset = $true )
& ( $true
= ( in @ sK556 @ ( powerset @ sK555 ) ) )
& ( $true
= ( subset @ sK556 @ sK557 ) )
& ( $true
= ( in @ sK557 @ ( powerset @ sK555 ) ) )
& ( $true
!= ( subset @ ( binintersect @ sK554 @ sK556 ) @ sK557 ) )
& ( $true
= ( in @ sK554 @ ( powerset @ sK555 ) ) )
& ( singletonprop = $true )
& ( lam2p = $true )
& ( cartprodfstin = $true )
& ( cartprodpairmemEL = $true )
& ( doubleComplementSub1 = $true )
& ( setukpairinjR2 = $true )
& ( funcext = $true )
& ( lamProp = $true )
& ( setukpairinjR12 = $true )
& ( powerset__Cong = $true )
& ( cartprodmempair1 = $true )
& ( setukpairinjL1 = $true )
& ( doubleComplementI1 = $true )
& ( binintersectI = $true )
& ( funcextLem = $true )
& ( iffalseProp1 = $true )
& ( exuE2 = $true )
& ( complementTnotintersectT = $true )
& ( woz13rule0 = $true )
& ( omega__Cong = $true )
& ( emptyI = $true )
& ( subset2powerset = $true )
& ( cartprodpairin = $true )
& ( binintersectSubset4 = $true )
& ( subsetTrans = $true )
& ( binintersectSubset1 = $true )
& ( dsetconstrEL = $true )
& ( cartprodmempair = $true )
& ( cartprodsndin = $true )
& ( notdexE = $true )
& ( setukpairinjR11 = $true )
& ( setminusER = $true )
& ( setminusLsub = $true )
& ( omegaSAx = $true )
& ( prop2setI = $true )
& ( brelnall1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( upairsetIL = $true )
& ( setunionI = $true )
& ( demorgan2b2 = $true )
& ( binunionIR = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( funcGraphProp3 = $true )
& ( subPowSU = $true )
& ( powersetI1 = $true )
& ( exu__Cong = $true )
& ( setukpairinjR1 = $true )
& ( powersetT_lem = $true )
& ( lam2lamEq = $true )
& ( symdiffE = $true )
& ( setunion__Cong = $true )
& ( contrasubsetT = $true )
& ( dpsetconstrI = $true )
& ( app = $true )
& ( binunionTE = $true )
& ( singletoninpowunion = $true )
& ( ex1I2 = $true )
& ( upairsubunion = $true )
& ( setunionsingleton2 = $true )
& ( symdiffIneg1 = $true )
& ( subsetI1 = $true )
& ( descrp = $true )
& ( notsubsetI = $true )
& ( demorgan2a1 = $true )
& ( doubleComplementEq = $true )
& ( ifp = $true )
& ( ex1E2 = $true )
& ( binintersectTERcontra = $true )
& ( emptyset__Cong = $true )
& ( setminusSubset1 = $true )
& ( dpsetconstrEL2 = $true )
& ( upairsetIR = $true )
& ( setunionsingleton = $true )
& ( binintersectER = $true )
& ( cartprodpairmemER = $true )
& ( contrasubsetT1 = $true )
& ( singletonsubset = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( notdallE = $true )
& ( eta2 = $true )
& ( setunionAx = $true )
& ( complementTI1 = $true )
& ( eqimpsubset1 = $true )
& ( emptyinunitempty = $true )
& ( descr__Cong = $true )
& ( binintersectSubset5 = $true )
& ( dpsetconstrERa = $true )
& ( theeq = $true )
& ( quantDeMorgan2 = $true )
& ( ksndpairEq = $true )
& ( iftrueProp1 = $true )
& ( quantDeMorgan4 = $true )
& ( binunionTEcontra = $true )
& ( theprop = $true )
& ( setminusELneg = $true )
& ( setadjoinIL = $true )
& ( binintersectT_lem = $true )
& ( funcImageSingleton = $true )
& ( demorgan1b = $true )
& ( sepInPowerset = $true )
& ( uniqinunit = $true )
& ( binunionIL = $true )
& ( prop2setE = $true )
& ( subsetI2 = $true )
& ( complementImpComplementIntersect = $true )
& ( notequalI1 = $true )
& ( setukpairinjL = $true )
& ( cartprodmempaircEq = $true )
& ( contrasubsetT3 = $true )
& ( quantDeMorgan1 = $true )
& ( iftrueorfalse = $true )
& ( in__Cong = $true )
& ( setadjoinOr = $true )
& ( eqbreln = $true )
& ( upairset2IR = $true )
& ( funcGraphProp4 = $true )
& ( setminusILneg = $true )
& ( infuncsetfunc = $true )
& ( dpsetconstrSub = $true )
& ( setminusSubset2 = $true )
& ( binintersectSubset3 = $true )
& ( setunionE2 = $true )
& ( notinsingleton = $true )
& ( setukpairinjL2 = $true )
& ( powersetI = $true )
& ( demorgan1 = $true )
& ( upairset2E = $true )
& ( binintersectRsub = $true )
& ( subsetTI = $true )
& ( doubleComplementSub2 = $true )
& ( ex1I = $true )
& ( omega0Ax = $true )
& ( funcinfuncset = $true )
& ( ubforcartprodlem3 = $true )
& ( bs114d = $true )
& ( demorgan2a = $true )
& ( binunionTILcontra = $true )
& ( emptyE1 = $true )
& ( setadjoinSub2 = $true )
& ( subsetE = $true )
& ( lamp = $true )
& ( emptysetAx = $true )
& ( exuE1 = $true )
& ( powersetE = $true )
& ( woz13rule1 = $true )
& ( subsetRefl = $true )
& ( replAx = $true )
& ( exuEu = $true )
& ( setadjoinIR = $true )
& ( kpairp = $true )
& ( symdiffI2 = $true )
& ( setminusEL = $true )
& ( setadjoinSub = $true )
& ( powersetTI1 = $true )
& ( setadjoinAx = $true )
& ( binintersectTELcontra = $true )
& ( powersetTE1 = $true )
& ( iftrue = $true )
& ( complementT_lem = $true )
& ( powersetsubset = $true )
& ( binunionRsub = $true )
& ( ksndsingleton = $true )
& ( iffalseProp2 = $true )
& ( apProp = $true )
& ( setunionE = $true )
& ( emptysetE = $true )
& ( binintersectSubset2 = $true )
& ( setminusT_lem = $true )
& ( notequalI2 = $true )
& ( setextT = $true )
& ( dpsetconstrER = $true )
& ( ubforcartprodlem1 = $true )
& ( eta1 = $true )
& ( nonemptyI1 = $true )
& ( nonemptyImpWitness = $true )
& ( binintersectLsub = $true )
& ( cartprodfstpairEq = $true )
& ( contraSubsetComplement = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK554,sK555,sK556,sK557]),skolemize(X0,sK554),skolemize(X1,sK555),skolemize(X2,sK556),skolemize(X3,sK557)],[f892]) ).
thf(f1842,plain,
( ( ! [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X1 )
= $true )
| ( binintersectRsub != $true ) )
& ( ( binintersectRsub = $true )
| ? [X1: $i,X0: $i] :
( ( subset @ ( binintersect @ X0 @ X1 ) @ X1 )
!= $true ) ) ),
inference(nnf_transformation,[],[f748]) ).
thf(f1843,plain,
( ( ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X0 )
= $true )
| ( binintersectRsub != $true ) )
& ( ( binintersectRsub = $true )
| ? [X2: $i,X3: $i] :
( $true
!= ( subset @ ( binintersect @ X3 @ X2 ) @ X2 ) ) ) ),
inference(rectify,[],[f1842]) ).
thf(f1844,plain,
( ( ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X0 )
= $true )
| ( binintersectRsub != $true ) )
& ( ( binintersectRsub = $true )
| ( $true
!= ( subset @ ( binintersect @ sK667 @ sK666 ) @ sK666 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK666,sK667]),skolemize(X2,sK666),skolemize(X3,sK667)],[f1843]) ).
thf(f2299,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( subset @ X5 @ X3 ) )
| ( subsetTrans != $true )
| ( $true
!= ( subset @ X5 @ X4 ) )
| ( $true
!= ( subset @ X4 @ X3 ) ) ),
inference(cnf_transformation,[],[f1396]) ).
thf(f2830,plain,
binintersectRsub = $true,
inference(cnf_transformation,[],[f1750]) ).
thf(f2934,plain,
subsetTrans = $true,
inference(cnf_transformation,[],[f1750]) ).
thf(f2960,plain,
( $true
!= ( subset @ ( binintersect @ sK554 @ sK556 ) @ sK557 ) ),
inference(cnf_transformation,[],[f1750]) ).
thf(f2962,plain,
( $true
= ( subset @ sK556 @ sK557 ) ),
inference(cnf_transformation,[],[f1750]) ).
thf(f3231,plain,
! [X0: $i,X1: $i] :
( ( binintersectRsub != $true )
| ( ( subset @ ( binintersect @ X1 @ X0 ) @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f1844]) ).
thf(f3864,definition,
( spl887_23
<=> ( binintersectRsub = $true ) ),
introduced(definition,[new_symbols(definition,[spl887_23])],[avatar_definition]) ).
thf(f3867,plain,
spl887_23,
inference(avatar_split_clause,[],[f2830,f3864]) ).
thf(f4339,definition,
( spl887_129
<=> ( subsetTrans = $true ) ),
introduced(definition,[new_symbols(definition,[spl887_129])],[avatar_definition]) ).
thf(f4744,plain,
spl887_129,
inference(avatar_split_clause,[],[f2934,f4339]) ).
thf(f5374,definition,
( spl887_361
<=> ( $true
= ( subset @ ( binintersect @ sK554 @ sK556 ) @ sK557 ) ) ),
introduced(definition,[new_symbols(definition,[spl887_361])],[avatar_definition]) ).
thf(f5376,plain,
( ( $true
!= ( subset @ ( binintersect @ sK554 @ sK556 ) @ sK557 ) )
| spl887_361 ),
inference(avatar_component_clause,[],[f5374]) ).
thf(f5377,plain,
~ spl887_361,
inference(avatar_split_clause,[],[f2960,f5374]) ).
thf(f7403,definition,
( spl887_791
<=> ( $true
= ( subset @ sK556 @ sK557 ) ) ),
introduced(definition,[new_symbols(definition,[spl887_791])],[avatar_definition]) ).
thf(f7405,plain,
( ( $true
= ( subset @ sK556 @ sK557 ) )
| ~ spl887_791 ),
inference(avatar_component_clause,[],[f7403]) ).
thf(f7406,plain,
spl887_791,
inference(avatar_split_clause,[],[f2962,f7403]) ).
thf(f8007,definition,
( spl887_918
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( $true
= ( subset @ X5 @ X3 ) )
| ( $true
!= ( subset @ X4 @ X3 ) )
| ( $true
!= ( subset @ X5 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl887_918])],[avatar_definition]) ).
thf(f8008,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( subset @ X5 @ X3 ) )
| ( $true
!= ( subset @ X4 @ X3 ) )
| ( $true
!= ( subset @ X5 @ X4 ) ) )
| ~ spl887_918 ),
inference(avatar_component_clause,[],[f8007]) ).
thf(f8009,plain,
( spl887_918
| ~ spl887_129 ),
inference(avatar_split_clause,[],[f2299,f4339,f8007]) ).
thf(f10181,definition,
( spl887_1364
<=> ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X0 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl887_1364])],[avatar_definition]) ).
thf(f10182,plain,
( ! [X0: $i,X1: $i] :
( ( subset @ ( binintersect @ X1 @ X0 ) @ X0 )
= $true )
| ~ spl887_1364 ),
inference(avatar_component_clause,[],[f10181]) ).
thf(f10183,plain,
( ~ spl887_23
| spl887_1364 ),
inference(avatar_split_clause,[],[f3231,f10181,f3864]) ).
thf(f11888,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( subset @ X0 @ sK557 ) )
| ( $true
!= ( subset @ ( binintersect @ sK554 @ sK556 ) @ X0 ) ) )
| spl887_361
| ~ spl887_918 ),
inference(superposition,[],[f5376,f8008]) ).
thf(f11897,plain,
( ! [X0: $i] :
( ( $true
!= ( subset @ ( binintersect @ sK554 @ sK556 ) @ X0 ) )
| ( $true
!= ( subset @ X0 @ sK557 ) ) )
| spl887_361
| ~ spl887_918 ),
inference(trivial_inequality_removal,[],[f11888]) ).
thf(f12025,plain,
( ( $true
!= ( subset @ sK556 @ sK557 ) )
| ( $true != $true )
| spl887_361
| ~ spl887_918
| ~ spl887_1364 ),
inference(superposition,[],[f11897,f10182]) ).
thf(f12043,plain,
( ( $true
!= ( subset @ sK556 @ sK557 ) )
| spl887_361
| ~ spl887_918
| ~ spl887_1364 ),
inference(trivial_inequality_removal,[],[f12025]) ).
thf(f12064,plain,
( $false
| spl887_361
| ~ spl887_791
| ~ spl887_918
| ~ spl887_1364 ),
inference(forward_subsumption_resolution,[],[f12043,f7405]) ).
thf(f12065,plain,
( spl887_361
| ~ spl887_791
| ~ spl887_918
| ~ spl887_1364 ),
inference(avatar_contradiction_clause,[],[f12064]) ).
cnf(s14,plain,
spl887_23,
inference(sat_conversion,[],[f3867]) ).
cnf(s140,plain,
spl887_129,
inference(sat_conversion,[],[f4744]) ).
cnf(s246,plain,
~ spl887_361,
inference(sat_conversion,[],[f5377]) ).
cnf(s669,plain,
spl887_791,
inference(sat_conversion,[],[f7406]) ).
cnf(s807,plain,
( ~ spl887_129
| spl887_918 ),
inference(sat_conversion,[],[f8009]) ).
cnf(s1366,plain,
( ~ spl887_23
| spl887_1364 ),
inference(sat_conversion,[],[f10183]) ).
cnf(s1510,plain,
( spl887_361
| ~ spl887_791
| ~ spl887_918
| ~ spl887_1364 ),
inference(sat_conversion,[],[f12065]) ).
cnf(s1826,plain,
spl887_918,
inference(rat,[],[s807,s140]) ).
cnf(s1827,plain,
~ spl887_1364,
inference(rat,[],[s1510,s246,s669,s1826]) ).
cnf(s1829,plain,
~ spl887_23,
inference(rat,[],[s1366,s1827]) ).
cnf(s1877,plain,
$false,
inference(rat,[],[s14,s1829]) ).
thf(f12081,plain,
$false,
inference(avatar_sat_refutation,[],[s1877]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU760^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n004.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 14:22:37 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.22/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.47 % (1359452)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.47 % (1359458)lrs+10_16_si=on:nwc=1.5:random_seed=3949242648:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.47 % (1359458)Instruction limit reached!
% 0.32/0.47 % (1359458)------------------------------
% 0.32/0.47 % (1359458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.47 % (1359458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.47 % (1359458)CaDiCaL version: 2.1.3
% 0.32/0.47 % (1359458)Termination reason: Instruction limit
% 0.32/0.47 % (1359458)Termination phase: shuffling
% 0.32/0.47 % (1359458)Time elapsed: 0.005 s
% 0.32/0.47 % (1359458)Peak memory usage: 10 MB
% 0.32/0.47 % (1359458)Instructions burned: 20 (million)
% 0.32/0.47 % (1359463)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.47 % (1359463)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.32/0.47 % (1359459)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2461201809:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.47 % (1359457)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4174823630:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.47 % (1359459)Instruction limit reached!
% 0.32/0.47 % (1359459)------------------------------
% 0.32/0.47 % (1359459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.47 % (1359459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.47 % (1359459)CaDiCaL version: 2.1.3
% 0.32/0.47 % (1359459)Termination reason: Instruction limit
% 0.32/0.47 % (1359459)Termination phase: shuffling
% 0.32/0.47 % (1359459)Time elapsed: 0.002 s
% 0.32/0.47 % (1359459)Peak memory usage: 10 MB
% 0.32/0.47 % (1359459)Instructions burned: 3 (million)
% 0.32/0.47 % (1359463)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=380995413:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.47 % (1359465)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1006625589:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.47 % (1359465)Instruction limit reached!
% 0.32/0.47 % (1359465)------------------------------
% 0.32/0.47 % (1359465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.47 % (1359465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.47 % (1359465)CaDiCaL version: 2.1.3
% 0.32/0.47 % (1359465)Termination reason: Instruction limit
% 0.32/0.47 % (1359465)Termination phase: shuffling
% 0.32/0.47 % (1359465)Time elapsed: 0.001 s
% 0.32/0.47 % (1359465)Peak memory usage: 10 MB
% 0.32/0.47 % (1359465)Instructions burned: 2 (million)
% 0.32/0.47 % (1359460)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=1150939885:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.32/0.47 % (1359461)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1519288771:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.47 % (1359462)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3726656882:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.47 % (1359471)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.47 % (1359468)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1236401791:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.32/0.47 % (1359471)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1456278347:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.32/0.47 % (1359471)Instruction limit reached!
% 0.32/0.47 % (1359471)------------------------------
% 0.32/0.47 % (1359471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (1359471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (1359471)CaDiCaL version: 2.1.3
% 1.04/0.52 % (1359471)Termination reason: Instruction limit
% 1.04/0.52 % (1359471)Termination phase: shuffling
% 1.04/0.52 % (1359471)Time elapsed: 0.002 s
% 1.04/0.52 % (1359471)Peak memory usage: 10 MB
% 1.04/0.52 % (1359471)Instructions burned: 9 (million)
% 1.04/0.52 % (1359468)Instruction limit reached!
% 1.04/0.52 % (1359468)------------------------------
% 1.04/0.52 % (1359468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (1359468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (1359468)CaDiCaL version: 2.1.3
% 1.04/0.52 % (1359468)Termination reason: Instruction limit
% 1.04/0.52 % (1359468)Termination phase: shuffling
% 1.04/0.52 % (1359468)Time elapsed: 0.003 s
% 1.04/0.52 % (1359468)Peak memory usage: 10 MB
% 1.04/0.52 % (1359468)Instructions burned: 6 (million)
% 1.04/0.52 % (1359461)Instruction limit reached!
% 1.04/0.52 % (1359461)------------------------------
% 1.04/0.52 % (1359461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (1359461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (1359461)CaDiCaL version: 2.1.3
% 1.04/0.52 % (1359461)Termination reason: Instruction limit
% 1.04/0.52 % (1359461)Termination phase: shuffling
% 1.04/0.52 % (1359461)Time elapsed: 0.020 s
% 1.04/0.52 % (1359461)Peak memory usage: 10 MB
% 1.04/0.52 % (1359461)Instructions burned: 24 (million)
% 1.04/0.52 % (1359477)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2788798855:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.04/0.52 % (1359477)Instruction limit reached!
% 1.04/0.52 % (1359477)------------------------------
% 1.04/0.52 % (1359477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (1359477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (1359477)CaDiCaL version: 2.1.3
% 1.04/0.52 % (1359477)Termination reason: Instruction limit
% 1.04/0.52 % (1359477)Termination phase: shuffling
% 1.04/0.52 % (1359477)Time elapsed: 0.003 s
% 1.04/0.52 % (1359477)Peak memory usage: 10 MB
% 1.04/0.52 % (1359477)Instructions burned: 13 (million)
% 1.04/0.52 % (1359478)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
% 1.04/0.52 % (1359478)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.04/0.52 % (1359457)Instruction limit reached!
% 1.04/0.52 % (1359457)------------------------------
% 1.04/0.52 % (1359457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (1359457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (1359457)CaDiCaL version: 2.1.3
% 1.04/0.52 % (1359457)Termination reason: Instruction limit
% 1.04/0.52 % (1359457)Termination phase: Preprocessing 3
% 1.04/0.52 % (1359457)Time elapsed: 0.042 s
% 1.04/0.52 % (1359457)Peak memory usage: 12 MB
% 1.04/0.52 % (1359457)Instructions burned: 91 (million)
% 1.04/0.52 % (1359478)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1033996881:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.04/0.52 % (1359481)lrs+10_1_si=on:cs=on:random_seed=824374655:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.04/0.52 % (1359481)Instruction limit reached!
% 1.04/0.52 % (1359481)------------------------------
% 1.04/0.52 % (1359481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (1359481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (1359481)CaDiCaL version: 2.1.3
% 1.04/0.52 % (1359481)Termination reason: Instruction limit
% 1.04/0.52 % (1359481)Termination phase: shuffling
% 1.04/0.52 % (1359481)Time elapsed: 0.003 s
% 1.04/0.52 % (1359481)Peak memory usage: 10 MB
% 1.04/0.52 % (1359481)Instructions burned: 11 (million)
% 1.04/0.52 % (1359482)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.04/0.52 % (1359478)Instruction limit reached!
% 1.04/0.52 % (1359478)------------------------------
% 1.04/0.52 % (1359478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.56 % (1359478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.56 % (1359478)CaDiCaL version: 2.1.3
% 1.04/0.56 % (1359478)Termination reason: Instruction limit
% 1.04/0.56 % (1359478)Termination phase: shuffling
% 1.04/0.56 % (1359478)Time elapsed: 0.012 s
% 1.04/0.56 % (1359478)Peak memory usage: 10 MB
% 1.04/0.56 % (1359478)Instructions burned: 28 (million)
% 1.04/0.56 % (1359480)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=1027735391:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.04/0.56 % (1359482)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=2811818112:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.04/0.56 % (1359482)Instruction limit reached!
% 1.04/0.56 % (1359482)------------------------------
% 1.04/0.56 % (1359482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.56 % (1359482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.56 % (1359482)CaDiCaL version: 2.1.3
% 1.04/0.56 % (1359482)Termination reason: Instruction limit
% 1.04/0.56 % (1359482)Termination phase: shuffling
% 1.04/0.56 % (1359482)Time elapsed: 0.003 s
% 1.04/0.56 % (1359482)Peak memory usage: 10 MB
% 1.04/0.56 % (1359482)Instructions burned: 6 (million)
% 1.04/0.56 % (1359485)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=878037430:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.04/0.56 % (1359463)Instruction limit reached!
% 1.04/0.56 % (1359463)------------------------------
% 1.04/0.56 % (1359463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.56 % (1359463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.56 % (1359463)CaDiCaL version: 2.1.3
% 1.04/0.56 % (1359463)Termination reason: Instruction limit
% 1.04/0.56 % (1359463)Termination phase: Property scanning
% 1.04/0.56 % (1359463)Time elapsed: 0.067 s
% 1.04/0.56 % (1359463)Peak memory usage: 13 MB
% 1.04/0.56 % (1359463)Instructions burned: 158 (million)
% 1.04/0.56 % (1359485)Instruction limit reached!
% 1.04/0.56 % (1359485)------------------------------
% 1.04/0.56 % (1359485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.56 % (1359485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.56 % (1359485)CaDiCaL version: 2.1.3
% 1.04/0.56 % (1359485)Termination reason: Instruction limit
% 1.04/0.56 % (1359485)Termination phase: Property scanning
% 1.04/0.56 % (1359485)Time elapsed: 0.009 s
% 1.04/0.56 % (1359485)Peak memory usage: 11 MB
% 1.04/0.56 % (1359485)Instructions burned: 39 (million)
% 1.04/0.56 % (1359486)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1263057891:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.04/0.56 % (1359462)Instruction limit reached!
% 1.04/0.56 % (1359462)------------------------------
% 1.04/0.56 % (1359462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.56 % (1359462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.56 % (1359462)CaDiCaL version: 2.1.3
% 1.04/0.56 % (1359462)Termination reason: Instruction limit
% 1.04/0.56 % (1359462)Termination phase: Preprocessing 3
% 1.04/0.56 % (1359462)Time elapsed: 0.062 s
% 1.04/0.56 % (1359462)Peak memory usage: 12 MB
% 1.04/0.56 % (1359462)Instructions burned: 75 (million)
% 1.04/0.56 % (1359490)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2182319719:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.04/0.56 % (1359492)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3377150400:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.04/0.56 % (1359491)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=483143764:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.04/0.56 % (1359490)Instruction limit reached!
% 1.04/0.56 % (1359490)------------------------------
% 1.04/0.56 % (1359490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.56 % (1359490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (1359490)CaDiCaL version: 2.1.3
% 1.76/0.60 % (1359490)Termination reason: Instruction limit
% 1.76/0.60 % (1359490)Termination phase: shuffling
% 1.76/0.60 % (1359490)Time elapsed: 0.012 s
% 1.76/0.60 % (1359490)Peak memory usage: 10 MB
% 1.76/0.60 % (1359490)Instructions burned: 26 (million)
% 1.76/0.60 % (1359491)Instruction limit reached!
% 1.76/0.60 % (1359491)------------------------------
% 1.76/0.60 % (1359491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (1359491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (1359491)CaDiCaL version: 2.1.3
% 1.76/0.60 % (1359491)Termination reason: Instruction limit
% 1.76/0.60 % (1359491)Termination phase: shuffling
% 1.76/0.60 % (1359491)Time elapsed: 0.006 s
% 1.76/0.60 % (1359491)Peak memory usage: 10 MB
% 1.76/0.60 % (1359491)Instructions burned: 14 (million)
% 1.76/0.60 % (1359498)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1536909009:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.76/0.60 % (1359499)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=639519837:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.76/0.60 % (1359498)Instruction limit reached!
% 1.76/0.60 % (1359498)------------------------------
% 1.76/0.60 % (1359498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (1359498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (1359498)CaDiCaL version: 2.1.3
% 1.76/0.60 % (1359498)Termination reason: Instruction limit
% 1.76/0.60 % (1359498)Termination phase: shuffling
% 1.76/0.60 % (1359498)Time elapsed: 0.002 s
% 1.76/0.60 % (1359498)Peak memory usage: 10 MB
% 1.76/0.60 % (1359498)Instructions burned: 3 (million)
% 1.76/0.60 % (1359494)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2127463517:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.76/0.60 % (1359499)Instruction limit reached!
% 1.76/0.60 % (1359499)------------------------------
% 1.76/0.60 % (1359499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (1359499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (1359499)CaDiCaL version: 2.1.3
% 1.76/0.60 % (1359499)Termination reason: Instruction limit
% 1.76/0.60 % (1359499)Termination phase: shuffling
% 1.76/0.60 % (1359499)Time elapsed: 0.012 s
% 1.76/0.60 % (1359499)Peak memory usage: 10 MB
% 1.76/0.60 % (1359499)Instructions burned: 26 (million)
% 1.76/0.60 % (1359494)Instruction limit reached!
% 1.76/0.60 % (1359494)------------------------------
% 1.76/0.60 % (1359494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (1359494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (1359494)CaDiCaL version: 2.1.3
% 1.76/0.60 % (1359494)Termination reason: Instruction limit
% 1.76/0.60 % (1359494)Termination phase: shuffling
% 1.76/0.60 % (1359494)Time elapsed: 0.012 s
% 1.76/0.60 % (1359494)Peak memory usage: 10 MB
% 1.76/0.60 % (1359494)Instructions burned: 14 (million)
% 1.76/0.60 % (1359480)Instruction limit reached!
% 1.76/0.60 % (1359480)------------------------------
% 1.76/0.60 % (1359480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (1359480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (1359480)CaDiCaL version: 2.1.3
% 1.76/0.60 % (1359480)Termination reason: Instruction limit
% 1.76/0.60 % (1359480)Termination phase: Property scanning
% 1.76/0.60 % (1359480)Time elapsed: 0.076 s
% 1.76/0.60 % (1359480)Peak memory usage: 11 MB
% 1.76/0.60 % (1359480)Instructions burned: 86 (million)
% 1.76/0.60 % (1359502)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=552030761:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.76/0.60 % (1359502)Instruction limit reached!
% 1.76/0.60 % (1359502)------------------------------
% 1.76/0.60 % (1359502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.60 % (1359502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.60 % (1359502)CaDiCaL version: 2.1.3
% 1.76/0.60 % (1359502)Termination reason: Instruction limit
% 1.76/0.60 % (1359502)Termination phase: shuffling
% 1.76/0.60 % (1359502)Time elapsed: 0.011 s
% 1.76/0.60 % (1359502)Peak memory usage: 10 MB
% 1.76/0.60 % (1359502)Instructions burned: 25 (million)
% 1.94/0.69 % (1359505)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.94/0.69 % (1359505)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.94/0.69 % (1359505)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=1059375025:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.94/0.69 % (1359504)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3990398679:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.94/0.69 % (1359492)Instruction limit reached!
% 1.94/0.69 % (1359492)------------------------------
% 1.94/0.69 % (1359492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.69 % (1359492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.69 % (1359492)CaDiCaL version: 2.1.3
% 1.94/0.69 % (1359492)Termination reason: Instruction limit
% 1.94/0.69 % (1359492)Termination phase: Saturation
% 1.94/0.69 % (1359492)Time elapsed: 0.077 s
% 1.94/0.69 % (1359492)Peak memory usage: 15 MB
% 1.94/0.69 % (1359492)Instructions burned: 327 (million)
% 1.94/0.69 % (1359505)Instruction limit reached!
% 1.94/0.69 % (1359505)------------------------------
% 1.94/0.69 % (1359505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.69 % (1359505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.69 % (1359505)CaDiCaL version: 2.1.3
% 1.94/0.69 % (1359505)Termination reason: Instruction limit
% 1.94/0.69 % (1359505)Termination phase: shuffling
% 1.94/0.69 % (1359505)Time elapsed: 0.007 s
% 1.94/0.69 % (1359505)Peak memory usage: 10 MB
% 1.94/0.69 % (1359505)Instructions burned: 15 (million)
% 1.94/0.69 % (1359507)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.94/0.69 % (1359508)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=2495425835:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.94/0.69 % (1359507)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=3951189206:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.94/0.69 % (1359512)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3469688372:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.94/0.69 % (1359507)Instruction limit reached!
% 1.94/0.69 % (1359507)------------------------------
% 1.94/0.69 % (1359507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.69 % (1359507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.69 % (1359507)CaDiCaL version: 2.1.3
% 1.94/0.69 % (1359507)Termination reason: Instruction limit
% 1.94/0.69 % (1359507)Termination phase: shuffling
% 1.94/0.69 % (1359507)Time elapsed: 0.008 s
% 1.94/0.69 % (1359507)Peak memory usage: 10 MB
% 1.94/0.69 % (1359507)Instructions burned: 8 (million)
% 1.94/0.69 % (1359512)Instruction limit reached!
% 1.94/0.69 % (1359512)------------------------------
% 1.94/0.69 % (1359512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.69 % (1359512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.69 % (1359512)CaDiCaL version: 2.1.3
% 1.94/0.69 % (1359512)Termination reason: Instruction limit
% 1.94/0.69 % (1359512)Termination phase: shuffling
% 1.94/0.69 % (1359512)Time elapsed: 0.005 s
% 1.94/0.69 % (1359512)Peak memory usage: 10 MB
% 1.94/0.69 % (1359512)Instructions burned: 24 (million)
% 1.94/0.69 % (1359511)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3397988670:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.94/0.69 % (1359486)Instruction limit reached!
% 1.94/0.69 % (1359486)------------------------------
% 1.94/0.69 % (1359486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.69 % (1359486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.69 % (1359486)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359486)Termination reason: Instruction limit
% 1.94/0.70 % (1359486)Termination phase: Saturation
% 1.94/0.70 % (1359486)Time elapsed: 0.106 s
% 1.94/0.70 % (1359486)Peak memory usage: 15 MB
% 1.94/0.70 % (1359486)Instructions burned: 250 (million)
% 1.94/0.70 % (1359504)Instruction limit reached!
% 1.94/0.70 % (1359504)------------------------------
% 1.94/0.70 % (1359504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.70 % (1359508)Instruction limit reached!
% 1.94/0.70 % (1359508)------------------------------
% 1.94/0.70 % (1359508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.70 % (1359504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.70 % (1359504)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359504)Termination reason: Instruction limit
% 1.94/0.70 % (1359504)Termination phase: Preprocessing 3
% 1.94/0.70 % (1359504)Time elapsed: 0.028 s
% 1.94/0.70 % (1359504)Peak memory usage: 12 MB
% 1.94/0.70 % (1359504)Instructions burned: 63 (million)
% 1.94/0.70 % (1359508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.70 % (1359508)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359508)Termination reason: Instruction limit
% 1.94/0.70 % (1359508)Termination phase: shuffling
% 1.94/0.70 % (1359508)Time elapsed: 0.015 s
% 1.94/0.70 % (1359508)Peak memory usage: 11 MB
% 1.94/0.70 % (1359508)Instructions burned: 34 (million)
% 1.94/0.70 % (1359511)Instruction limit reached!
% 1.94/0.70 % (1359511)------------------------------
% 1.94/0.70 % (1359511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.70 % (1359511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.70 % (1359511)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359511)Termination reason: Instruction limit
% 1.94/0.70 % (1359511)Termination phase: shuffling
% 1.94/0.70 % (1359511)Time elapsed: 0.008 s
% 1.94/0.70 % (1359511)Peak memory usage: 10 MB
% 1.94/0.70 % (1359511)Instructions burned: 7 (million)
% 1.94/0.70 % (1359516)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1967891264:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.94/0.70 % (1359516)Instruction limit reached!
% 1.94/0.70 % (1359516)------------------------------
% 1.94/0.70 % (1359516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.70 % (1359516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.70 % (1359516)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359516)Termination reason: Instruction limit
% 1.94/0.70 % (1359516)Termination phase: shuffling
% 1.94/0.70 % (1359516)Time elapsed: 0.005 s
% 1.94/0.70 % (1359516)Peak memory usage: 10 MB
% 1.94/0.70 % (1359516)Instructions burned: 20 (million)
% 1.94/0.70 % (1359521)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=519937782:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.94/0.70 % (1359520)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4197126439:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.94/0.70 % (1359524)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2561156092:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.94/0.70 % (1359517)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2556515033:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.94/0.70 % (1359519)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2818125637:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.94/0.70 % (1359523)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.94/0.70 % (1359523)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3892112271:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.94/0.70 % (1359521)Instruction limit reached!
% 1.94/0.70 % (1359521)------------------------------
% 1.94/0.70 % (1359521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.70 % (1359521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.70 % (1359521)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359521)Termination reason: Instruction limit
% 1.94/0.70 % (1359521)Termination phase: Property scanning
% 1.94/0.70 % (1359521)Time elapsed: 0.019 s
% 1.94/0.70 % (1359521)Peak memory usage: 11 MB
% 1.94/0.70 % (1359521)Instructions burned: 43 (million)
% 1.94/0.70 % (1359523)Instruction limit reached!
% 1.94/0.70 % (1359523)------------------------------
% 1.94/0.70 % (1359523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.70 % (1359523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.70 % (1359523)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359523)Termination reason: Instruction limit
% 1.94/0.70 % (1359523)Termination phase: shuffling
% 1.94/0.70 % (1359523)Time elapsed: 0.004 s
% 1.94/0.70 % (1359523)Peak memory usage: 10 MB
% 1.94/0.70 % (1359523)Instructions burned: 9 (million)
% 1.94/0.70 % (1359532)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.94/0.70 % (1359531)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=136024842:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.94/0.70 % (1359532)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=471950500:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.94/0.70 % (1359532)Instruction limit reached!
% 1.94/0.70 % (1359532)------------------------------
% 1.94/0.70 % (1359532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.70 % (1359532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.70 % (1359532)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359532)Termination reason: Instruction limit
% 1.94/0.70 % (1359532)Termination phase: shuffling
% 1.94/0.70 % (1359532)Time elapsed: 0.003 s
% 1.94/0.70 % (1359532)Peak memory usage: 10 MB
% 1.94/0.70 % (1359532)Instructions burned: 6 (million)
% 1.94/0.70 % (1359535)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3229587848:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 1.94/0.70 % (1359524)Instruction limit reached!
% 1.94/0.70 % (1359524)------------------------------
% 1.94/0.70 % (1359524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.70 % (1359524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.70 % (1359524)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359524)Termination reason: Instruction limit
% 1.94/0.70 % (1359524)Termination phase: Saturation
% 1.94/0.70 % (1359524)Time elapsed: 0.067 s
% 1.94/0.70 % (1359524)Peak memory usage: 13 MB
% 1.94/0.70 % (1359524)Instructions burned: 181 (million)
% 1.94/0.70 % (1359535)Instruction limit reached!
% 1.94/0.70 % (1359535)------------------------------
% 1.94/0.70 % (1359535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.70 % (1359535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.70 % (1359535)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359535)Termination reason: Instruction limit
% 1.94/0.70 % (1359535)Termination phase: shuffling
% 1.94/0.70 % (1359535)Time elapsed: 0.015 s
% 1.94/0.70 % (1359535)Peak memory usage: 10 MB
% 1.94/0.70 % (1359535)Instructions burned: 23 (million)
% 1.94/0.70 % (1359520)Instruction limit reached!
% 1.94/0.70 % (1359520)------------------------------
% 1.94/0.70 % (1359520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.70 % (1359520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.70 % (1359520)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359520)Termination reason: Instruction limit
% 1.94/0.70 % (1359520)Termination phase: Saturation
% 1.94/0.70 % (1359520)Time elapsed: 0.081 s
% 1.94/0.70 % (1359520)Peak memory usage: 13 MB
% 1.94/0.70 % (1359520)Instructions burned: 195 (million)
% 1.94/0.70 % (1359538)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1518381834:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 1.94/0.70 % (1359540)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=2670616493:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 1.94/0.70 % (1359460) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1359452-1359460"...
% 1.94/0.70 % (1359531)Instruction limit reached!
% 1.94/0.70 % (1359531)------------------------------
% 1.94/0.70 % (1359531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.70 % (1359531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.70 % (1359531)CaDiCaL version: 2.1.3
% 1.94/0.70 % (1359531)Termination reason: Instruction limit
% 1.94/0.70 % (1359531)Termination phase: Property scanning
% 1.94/0.70 % (1359531)Time elapsed: 0.070 s
% 1.94/0.70 % (1359531)Peak memory usage: 12 MB
% 1.94/0.70 % (1359531)Instructions burned: 170 (million)
% 1.94/0.70 % (1359460)...printing done.
% 1.94/0.70 % (1359460)Refutation found. Thanks to Tanya!
% 1.94/0.70 % SZS status Theorem for theBenchmark
% 1.94/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/0.70 % (1359460)------------------------------
% 2.60/0.70 % (1359460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.70 % (1359460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.70 % (1359460)CaDiCaL version: 2.1.3
% 2.60/0.70 % (1359460)Termination reason: Refutation
% 2.60/0.70 % (1359460)Time elapsed: 0.303 s
% 2.60/0.70 % (1359460)Peak memory usage: 21 MB
% 2.60/0.70 % (1359460)Instructions burned: 496 (million)
% 2.60/0.70 % (1359452)Success in time 0.374 s
% 2.60/0.70 % Vampire exiting
%------------------------------------------------------------------------------