%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU799^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:31:28 AM UTC 2026
% Result : Theorem 6.75s 1.53s
% Output : Refutation 6.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 5832 (1610 equ; 0 cnn)
% Maximal formula atoms : 317 ( 182 avg)
% Number of connectives : 2802 ( 8 ~; 2 |;1264 &; 238 @)
% ( 0 <=>;1275 =>; 0 <=; 0 <~>)
% Maximal formula depth : 324 ( 82 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 523 ( 519 usr; 321 con; 0-6 aty)
% ( 15 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 81 ( 39 ^; 33 !; 9 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_164,type,
upairset2E: $o ).
thf(func_def_165,type,
upairsubunion: $o ).
thf(func_def_166,type,
upairinpowunion: $o ).
thf(func_def_167,type,
ubforcartprodlem1: $o ).
thf(func_def_168,type,
ubforcartprodlem2: $o ).
thf(func_def_169,type,
ubforcartprodlem3: $o ).
thf(func_def_170,type,
cartprodpairin: $o ).
thf(func_def_171,type,
cartprodmempair1: $o ).
thf(func_def_172,type,
cartprodmempair: $o ).
thf(func_def_173,type,
setunionE2: $o ).
thf(func_def_174,type,
setunionsingleton1: $o ).
thf(func_def_175,type,
setunionsingleton2: $o ).
thf(func_def_176,type,
setunionsingleton: $o ).
thf(func_def_177,type,
singleton: $i > $o ).
thf(func_def_178,type,
singletonprop: $o ).
thf(func_def_179,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_180,type,
ex1E1: $o ).
thf(func_def_181,type,
ex1I: $o ).
thf(func_def_182,type,
ex1I2: $o ).
thf(func_def_183,type,
singletonsuniq: $o ).
thf(func_def_184,type,
atmost1p: $i > $o ).
thf(func_def_185,type,
atleast2p: $i > $o ).
thf(func_def_186,type,
atmost2p: $i > $o ).
thf(func_def_187,type,
upairsetp: $i > $o ).
thf(func_def_188,type,
setukpairinjL1: $o ).
thf(func_def_189,type,
kfstsingleton: $o ).
thf(func_def_190,type,
theprop: $o ).
thf(func_def_191,type,
kfst: $i > $i ).
thf(func_def_192,type,
kfstpairEq: $o ).
thf(func_def_193,type,
cartprodfstin: $o ).
thf(func_def_194,type,
setukpairinjL2: $o ).
thf(func_def_195,type,
setukpairinjL: $o ).
thf(func_def_196,type,
setukpairinjR11: $o ).
thf(func_def_197,type,
setukpairinjR12: $o ).
thf(func_def_198,type,
setukpairinjR1: $o ).
thf(func_def_199,type,
upairequniteq: $o ).
thf(func_def_200,type,
setukpairinjR2: $o ).
thf(func_def_201,type,
setukpairinjR: $o ).
thf(func_def_202,type,
ksndsingleton: $o ).
thf(func_def_203,type,
ksnd: $i > $i ).
thf(func_def_204,type,
ksndpairEq: $o ).
thf(func_def_205,type,
kpairsurjEq: $o ).
thf(func_def_206,type,
cartprodsndin: $o ).
thf(func_def_207,type,
cartprodpairmemEL: $o ).
thf(func_def_208,type,
cartprodpairmemER: $o ).
thf(func_def_209,type,
cartprodmempaircEq: $o ).
thf(func_def_210,type,
cartprodfstpairEq: $o ).
thf(func_def_211,type,
cartprodsndpairEq: $o ).
thf(func_def_212,type,
cartprodpairsurjEq: $o ).
thf(func_def_213,type,
breln: $i > $i > $i > $o ).
thf(func_def_214,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_215,type,
dpsetconstrI: $o ).
thf(func_def_216,type,
dpsetconstrSub: $o ).
thf(func_def_217,type,
setOfPairsIsBReln: $o ).
thf(func_def_218,type,
dpsetconstrERa: $o ).
thf(func_def_219,type,
dpsetconstrEL1: $o ).
thf(func_def_220,type,
dpsetconstrEL2: $o ).
thf(func_def_221,type,
dpsetconstrER: $o ).
thf(func_def_222,type,
func: $i > $i > $i > $o ).
thf(func_def_223,type,
funcSet: $i > $i > $i ).
thf(func_def_224,type,
funcImageSingleton: $o ).
thf(func_def_225,type,
apProp: $o ).
thf(func_def_226,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_227,type,
app: $o ).
thf(func_def_228,type,
infuncsetfunc: $o ).
thf(func_def_229,type,
ap2p: $o ).
thf(func_def_230,type,
funcinfuncset: $o ).
thf(func_def_231,type,
lamProp: $o ).
thf(func_def_232,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(func_def_233,type,
lamp: $o ).
thf(func_def_234,type,
lam2p: $o ).
thf(func_def_235,type,
brelnall1: $o ).
thf(func_def_236,type,
brelnall2: $o ).
thf(func_def_237,type,
ex1E2: $o ).
thf(func_def_238,type,
funcGraphProp1: $o ).
thf(func_def_239,type,
funcGraphProp3: $o ).
thf(func_def_240,type,
funcGraphProp2: $o ).
thf(func_def_241,type,
funcextLem: $o ).
thf(func_def_242,type,
funcGraphProp4: $o ).
thf(func_def_243,type,
subbreln: $o ).
thf(func_def_244,type,
eqbreln: $o ).
thf(func_def_245,type,
funcext: $o ).
thf(func_def_246,type,
funcext2: $o ).
thf(func_def_247,type,
ap2apEq1: $o ).
thf(func_def_248,type,
ap2apEq2: $o ).
thf(func_def_249,type,
beta1: $o ).
thf(func_def_250,type,
eta1: $o ).
thf(func_def_251,type,
lam2lamEq: $o ).
thf(func_def_252,type,
beta2: $o ).
thf(func_def_253,type,
eta2: $o ).
thf(func_def_254,type,
iffalseProp1: $o ).
thf(func_def_255,type,
iffalseProp2: $o ).
thf(func_def_256,type,
iftrueProp1: $o ).
thf(func_def_257,type,
iftrueProp2: $o ).
thf(func_def_258,type,
ifSingleton: $o ).
thf(func_def_259,type,
if: $i > $o > $i > $i > $i ).
thf(func_def_260,type,
ifp: $o ).
thf(func_def_261,type,
theeq: $o ).
thf(func_def_262,type,
iftrue: $o ).
thf(func_def_263,type,
iffalse: $o ).
thf(func_def_264,type,
iftrueorfalse: $o ).
thf(func_def_265,type,
binintersectT_lem: $o ).
thf(func_def_266,type,
binunionT_lem: $o ).
thf(func_def_267,type,
powersetT_lem: $o ).
thf(func_def_268,type,
setminusT_lem: $o ).
thf(func_def_269,type,
complementT_lem: $o ).
thf(func_def_270,type,
setextT: $o ).
thf(func_def_271,type,
subsetTI: $o ).
thf(func_def_272,type,
powersetTI1: $o ).
thf(func_def_273,type,
powersetTE1: $o ).
thf(func_def_274,type,
complementTI1: $o ).
thf(func_def_275,type,
complementTE1: $o ).
thf(func_def_276,type,
binintersectTELcontra: $o ).
thf(func_def_277,type,
binintersectTERcontra: $o ).
thf(func_def_278,type,
contrasubsetT: $o ).
thf(func_def_279,type,
contrasubsetT1: $o ).
thf(func_def_280,type,
contrasubsetT2: $o ).
thf(func_def_281,type,
contrasubsetT3: $o ).
thf(func_def_282,type,
doubleComplementI1: $o ).
thf(func_def_283,type,
doubleComplementE1: $o ).
thf(func_def_284,type,
doubleComplementSub1: $o ).
thf(func_def_285,type,
doubleComplementSub2: $o ).
thf(func_def_286,type,
doubleComplementEq: $o ).
thf(func_def_287,type,
complementTnotintersectT: $o ).
thf(func_def_288,type,
complementImpComplementIntersect: $o ).
thf(func_def_289,type,
complementSubsetComplementIntersect: $o ).
thf(func_def_290,type,
complementInPowersetComplementIntersect: $o ).
thf(func_def_291,type,
contraSubsetComplement: $o ).
thf(func_def_292,type,
complementTcontraSubset: $o ).
thf(func_def_293,type,
binunionTILcontra: $o ).
thf(func_def_294,type,
binunionTIRcontra: $o ).
thf(func_def_295,type,
inIntersectImpInUnion: $o ).
thf(func_def_296,type,
inIntersectImpInUnion2: $o ).
thf(func_def_297,type,
inIntersectImpInIntersectUnions: $o ).
thf(func_def_298,type,
intersectInPowersetIntersectUnions: $o ).
thf(func_def_299,type,
inComplementUnionImpNotIn1: $o ).
thf(func_def_300,type,
inComplementUnionImpInComplement1: $o ).
thf(func_def_301,type,
binunionTE: $o ).
thf(func_def_302,type,
binunionTEcontra: $o ).
thf(func_def_303,type,
demorgan2a1: $o ).
thf(func_def_304,type,
complementUnionInPowersetComplement: $o ).
thf(func_def_305,type,
demorgan2a2: $o ).
thf(func_def_306,type,
demorgan1a: $o ).
thf(func_def_307,type,
demorgan1b: $o ).
thf(func_def_308,type,
demorgan1: $o ).
thf(func_def_309,type,
demorgan2a: $o ).
thf(func_def_310,type,
demorgan2b2: $o ).
thf(func_def_311,type,
demorgan2b: $o ).
thf(func_def_312,type,
demorgan2: $o ).
thf(func_def_313,type,
woz13rule0: $o ).
thf(func_def_314,type,
woz13rule1: $o ).
thf(func_def_315,type,
woz13rule2: $o ).
thf(func_def_316,type,
woz13rule3: $o ).
thf(func_def_317,type,
woz13rule4: $o ).
thf(func_def_318,type,
woz1_1: $o ).
thf(func_def_319,type,
woz1_2: $o ).
thf(func_def_320,type,
woz1_3: $o ).
thf(func_def_321,type,
woz1_4: $o ).
thf(func_def_322,type,
woz1_5: $o ).
thf(func_def_323,type,
breln1: $i > $i > $o ).
thf(func_def_324,type,
breln1all2: $o ).
thf(func_def_325,type,
breln1Set: $i > $i ).
thf(func_def_326,type,
breln1SetBreln1: $o ).
thf(func_def_327,type,
transitive: $i > $i > $o ).
thf(func_def_328,type,
antisymmetric: $i > $i > $o ).
thf(func_def_329,type,
reflexive: $i > $i > $o ).
thf(func_def_330,type,
refltransitive: $i > $i > $o ).
thf(func_def_331,type,
refllinearorder: $i > $i > $o ).
thf(func_def_332,type,
reflwellordering: $i > $i > $o ).
thf(func_def_333,type,
choice2fnsingleton: $o ).
thf(func_def_334,type,
setOfPairsIsBReln1: $o ).
thf(func_def_335,type,
breln1all1: $o ).
thf(func_def_336,type,
subbreln1: $o ).
thf(func_def_337,type,
eqbreln1: $o ).
thf(func_def_338,type,
breln1invset: $i > $i > $i ).
thf(func_def_339,type,
breln1invprop: $o ).
thf(func_def_340,type,
breln1invI: $o ).
thf(func_def_341,type,
breln1invE: $o ).
thf(func_def_342,type,
breln1compset: $i > $i > $i > $i ).
thf(func_def_343,type,
breln1compprop: $o ).
thf(func_def_344,type,
breln1compI: $o ).
thf(func_def_345,type,
breln1compE: $o ).
thf(func_def_346,type,
breln1compEex: $o ).
thf(func_def_347,type,
breln1unionprop: $o ).
thf(func_def_348,type,
breln1unionIL: $o ).
thf(func_def_349,type,
breln1unionIR: $o ).
thf(func_def_350,type,
breln1unionI: $o ).
thf(func_def_351,type,
breln1unionE: $o ).
thf(func_def_352,type,
breln1unionEcases: $o ).
thf(func_def_353,type,
breln1unionCommutes: $o ).
thf(func_def_354,type,
woz2Ex: $o ).
thf(func_def_355,type,
woz2W: $o ).
thf(func_def_356,type,
woz2A: $o ).
thf(func_def_357,type,
woz2B: $o ).
thf(func_def_358,type,
image1Ex: $o ).
thf(func_def_359,type,
image1Ex1: $o ).
thf(func_def_360,type,
image1: $i > ( $i > $i ) > $i ).
thf(func_def_361,type,
image1Equiv: $o ).
thf(func_def_362,type,
image1E: $o ).
thf(func_def_363,type,
image1I: $o ).
thf(func_def_364,type,
injective: $i > $i > $i > $o ).
thf(func_def_365,type,
injFuncSet: $i > $i > $i ).
thf(func_def_366,type,
injFuncInInjFuncSet: $o ).
thf(func_def_367,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_368,type,
vIMP: $o > $o > $o ).
thf(func_def_369,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_370,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_371,type,
vOR: $o > $o > $o ).
thf(func_def_372,type,
vAND: $o > $o > $o ).
thf(func_def_373,type,
vNOT: $o > $o ).
thf(func_def_374,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_375,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_376,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_377,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_378,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_379,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_380,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_381,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_382,type,
vIFF: $o > $o > $o ).
thf(func_def_388,type,
sK3: ( $i > $o ) > $i ).
thf(func_def_389,type,
sK4: ( $i > $o ) > $i > $i ).
thf(func_def_390,type,
sK5: ( $i > $o ) > $i > ( $i > $o ) > $i > $i ).
thf(func_def_391,type,
sK6: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_392,type,
sK7: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_393,type,
sK8: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_394,type,
sK9: ( $i > $o ) > $i > $i ).
thf(func_def_395,type,
sK10: ( $i > $o ) > $i > $i ).
thf(func_def_396,type,
sK11: $i > $i > ( $i > $i ) > $i ).
thf(func_def_397,type,
sK12: $i > $i ).
thf(func_def_398,type,
sK13: ( $i > $i ) > $i > $i > $i ).
thf(func_def_399,type,
sK14: $i > $i > $i > $o > $i > $i > $i ).
thf(func_def_400,type,
sK15: $i > ( $i > $i ) > $i > $i ).
thf(func_def_401,type,
sK16: $i > $i > $i > $i ).
thf(func_def_402,type,
sK17: $i > ( $i > $o ) > $i ).
thf(func_def_403,type,
sK18: $i > ( $i > $o ) > $i ).
thf(func_def_404,type,
sK19: $i > $i > ( $i > $i ) > $i ).
thf(func_def_405,type,
sK20: $i > $i ).
thf(func_def_406,type,
sK21: $i > $i > $i ).
thf(func_def_407,type,
sK22: $i > $i > $i ).
thf(func_def_408,type,
sK23: $i > $i > $i ).
thf(func_def_409,type,
sK24: $i > $i > $i ).
thf(func_def_410,type,
sK25: $i > $i > $i > $i ).
thf(func_def_411,type,
sK26: $i > $i > $o > $i ).
thf(func_def_412,type,
sK27: $i > $i > $i ).
thf(func_def_413,type,
sK28: $i > $i > $i ).
thf(func_def_414,type,
sK29: $i > $i > $i > $i > $i ).
thf(func_def_415,type,
sK30: ( $i > $o ) > $i ).
thf(func_def_416,type,
sK31: ( $i > $o ) > $i ).
thf(func_def_417,type,
sK32: ( $i > $o ) > $i ).
thf(func_def_418,type,
sK33: ( $i > $o ) > $i ).
thf(func_def_419,type,
sK34: ( $i > $o ) > $i > $i ).
thf(func_def_420,type,
sK35: $i > $i > $i ).
thf(func_def_421,type,
sK36: $i > $i > ( $i > $i ) > $i ).
thf(func_def_422,type,
sK37: ( $i > $o ) > $i ).
thf(func_def_423,type,
sK38: ( $i > $o ) > $i > $i ).
thf(func_def_424,type,
sK39: ( $i > $o ) > $i > $i ).
thf(func_def_425,type,
sK40: $i > $i > $i > $i > $i > $i ).
thf(func_def_426,type,
sK41: ( $i > $i ) > $i > $i ).
thf(func_def_427,type,
sK42: ( $i > $i ) > $i > $i > $i ).
thf(func_def_428,type,
sK43: ( $i > $i ) > $i > $i > $i ).
thf(func_def_429,type,
sK44: ( $i > $i ) > $i > $i > $i ).
thf(func_def_430,type,
sK45: $i > $i > $i ).
thf(func_def_431,type,
sK46: $i > $i > $i > $i > $i ).
thf(func_def_432,type,
sK47: $i > $i > $i > $i > $i ).
thf(func_def_433,type,
sK48: $i > $i > $i > $i > $i ).
thf(func_def_434,type,
sK49: $i > $i > $i > $i > $i ).
thf(func_def_435,type,
sK50: $i > $i > $i > $i > $i ).
thf(func_def_436,type,
sK51: $i > $i > $i > $i > $i ).
thf(func_def_437,type,
sK52: $i > $i > $i > $i > $i ).
thf(func_def_438,type,
sK53: $i > $i > $i > $i > $i ).
thf(func_def_439,type,
sK54: ( $i > $i ) > $i > $i > $i ).
thf(func_def_440,type,
sK55: $i > $i > $i > $i ).
thf(func_def_441,type,
sK56: $i > $i > $i > $i ).
thf(func_def_442,type,
sK57: $i > $i > $i > $i ).
thf(func_def_443,type,
sK58: $i > $i > $i > $i ).
thf(func_def_444,type,
sK59: $i > $i > $i > $i ).
thf(func_def_445,type,
sK60: $i > $i > $i > $i ).
thf(func_def_446,type,
sK61: $i > $i > $i > $i > $i ).
thf(func_def_447,type,
sK62: ( $i > $o ) > $i > $i ).
thf(func_def_448,type,
sK63: $i > $i ).
thf(func_def_449,type,
sK64: $i > $i > $i > $i ).
thf(func_def_450,type,
sK65: $i > $i > $i > $i ).
thf(func_def_451,type,
sK66: $i > ( $i > $o ) > $i > $i ).
thf(func_def_452,type,
sK67: $i > ( $i > $o ) > $i > $i ).
thf(func_def_453,type,
sK68: $i > $i > $i > $i ).
thf(func_def_454,type,
sK69: $i > $i > $i > $i ).
thf(func_def_455,type,
sK70: $i > $i > $i > $i > $i ).
thf(func_def_456,type,
sK71: $i > $i > $i ).
thf(func_def_457,type,
sK72: $i > $i > $i > ( $i > $o ) > $i ).
thf(func_def_458,type,
sK73: $i > $i > ( $i > $o ) > $i > $i ).
thf(func_def_459,type,
sK74: $i > $i > $i ).
thf(func_def_460,type,
sK75: ( $i > $o ) > $i > $i ).
thf(func_def_461,type,
sK76: ( $i > $o ) > $i ).
thf(func_def_462,type,
sK77: ( $i > $o ) > $i > $i ).
thf(func_def_463,type,
sK78: ( $i > $o ) > $i > $i ).
thf(func_def_464,type,
sK79: $i > $i ).
thf(func_def_465,type,
sK80: ( $i > $o ) > $i ).
thf(func_def_466,type,
sK81: ( $i > $o ) > $i > $i ).
thf(func_def_467,type,
sK82: ( $i > $o ) > $i > $i ).
thf(func_def_468,type,
sK83: $i > $i > ( $i > $o ) > $i ).
thf(func_def_469,type,
sK84: $i > ( $i > $i ) > $i ).
thf(func_def_470,type,
sK85: $i > $i > ( $i > $i ) > $i ).
thf(func_def_471,type,
sK86: $i > ( $i > $o ) > $i ).
thf(func_def_472,type,
sK87: $i > ( $i > $o ) > $i ).
thf(func_def_473,type,
sK88: $i > $i > $i ).
thf(func_def_474,type,
sK89: $i > $i ).
thf(func_def_475,type,
sK90: ( $i > $o ) > $i > $i ).
thf(func_def_476,type,
sK91: $i > $i > $i ).
thf(func_def_477,type,
sK92: $i > $i > $i > $i ).
thf(func_def_478,type,
sK93: $i > $i > $i > $i ).
thf(func_def_479,type,
sK94: $i > ( $i > $o ) > $i ).
thf(func_def_480,type,
sK95: $i > $i > $i ).
thf(func_def_481,type,
sK96: ( $i > $o ) > $i > $i ).
thf(func_def_482,type,
sK97: $i > ( $i > $o ) > $i > $i ).
thf(func_def_483,type,
sK98: $i > ( $i > $o ) > $i > $i ).
thf(func_def_484,type,
sK99: $i > $i ).
thf(func_def_485,type,
sK100: $i > $i > $i > ( $i > $o ) > $i ).
thf(func_def_486,type,
sK101: $i > $i > $i > ( $i > $o ) > $i ).
thf(func_def_487,type,
sK102: $i > $i > $i ).
thf(func_def_488,type,
sK103: $i > ( $i > $i ) > $i > $i ).
thf(func_def_489,type,
sK104: ( $i > $o ) > $i ).
thf(func_def_490,type,
sK105: ( $i > $o ) > $i > $i ).
thf(func_def_491,type,
sK106: $i > $i > $i > $i ).
thf(func_def_492,type,
sK107: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_493,type,
sK108: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_494,type,
sK109: ( $i > $o ) > $i ).
thf(func_def_495,type,
sK110: ( $i > $o ) > $i > $i ).
thf(func_def_496,type,
sK111: ( $i > $o ) > $i ).
thf(func_def_497,type,
sK112: ( $i > $o ) > $i > $i ).
thf(func_def_498,type,
sK113: ( $i > $o ) > $i > $i ).
thf(func_def_499,type,
sK114: ( $i > $o ) > $i ).
thf(func_def_500,type,
sK115: ( $i > $o ) > $i > $i ).
thf(func_def_501,type,
sK116: ( $i > $o ) > $i > $i ).
thf(func_def_502,type,
sK117: ( $i > $o ) > $i ).
thf(func_def_503,type,
sK118: ( $i > $o ) > $i > $i ).
thf(func_def_504,type,
sK119: ( $i > $o ) > $i > $i ).
thf(func_def_505,type,
sK120: ( $i > $o ) > $i ).
thf(func_def_506,type,
sK121: ( $i > $o ) > $i > $i ).
thf(func_def_507,type,
sK122: ( $i > $o ) > $i > $i ).
thf(func_def_508,type,
sK123: ( $i > $o ) > $i ).
thf(func_def_509,type,
sK124: ( $i > $o ) > $i > $i ).
thf(func_def_510,type,
sK125: ( $i > $o ) > $i > $i ).
thf(func_def_511,type,
sK126: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_512,type,
sK127: ( $i > $i > $o ) > $i > $i ).
thf(func_def_513,type,
sK128: ( $i > $i > $o ) > $i > $i ).
thf(func_def_514,type,
sK129: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_515,type,
sK130: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_516,type,
sK131: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_517,type,
sK132: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_518,type,
sK133: $i > $i ).
thf(func_def_519,type,
sK134: ( $i > $i ) > $i > $i > $i ).
thf(func_def_520,type,
sK135: ( $i > $o ) > $i > $i ).
thf(func_def_521,type,
sK136: ( $i > $o ) > $i > $i ).
thf(func_def_522,type,
sK137: $i > ( $i > $o ) > $i ).
thf(f15,axiom,
! [X2: $i,X1: $i > $o,X0: $i] :
( ( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( in @ X2 @ X0 ) )
= dsetconstrEL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrEL) ).
thf(f317,axiom,
( injFuncSet
= ( ^ [X0: $i,X1: $i] :
( dsetconstr @ ( funcSet @ X0 @ X1 )
@ ^ [X2: $i] : ( injective @ X0 @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injFuncSet) ).
thf(f319,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ! [X1: $i,X0: $i,X2: $i] :
( ( in @ X2 @ ( injFuncSet @ X0 @ X1 ) )
=> ( in @ X2 @ ( funcSet @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injFuncSetFuncIn) ).
thf(f320,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ! [X1: $i,X0: $i,X2: $i] :
( ( in @ X2 @ ( injFuncSet @ X0 @ X1 ) )
=> ( in @ X2 @ ( funcSet @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f319]) ).
thf(f335,plain,
( injFuncSet
= ( ^ [X0: $i,X1: $i] :
( dsetconstr @ ( funcSet @ X0 @ X1 )
@ ^ [X2: $i] : ( injective @ X0 @ X1 @ X2 ) ) ) ),
inference(rectify,[],[f317]) ).
thf(f336,plain,
( injFuncSet
= ( ^ [Y0: $i,Y1: $i] :
( dsetconstr @ ( funcSet @ Y0 @ Y1 )
@ ^ [Y2: $i] : ( injective @ Y0 @ Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f335]) ).
thf(f360,plain,
! [X0: $i,X1: $i > $o,X2: $i] :
( ( ( in @ X0
@ ( dsetconstr @ X2
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( in @ X0 @ X2 ) )
= dsetconstrEL ),
inference(rectify,[],[f15]) ).
thf(f361,plain,
( dsetconstrEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y2 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f360]) ).
thf(f512,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( injFuncSet @ X1 @ X0 ) )
=> ( in @ X2 @ ( funcSet @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f320]) ).
thf(f513,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ( ( setminusT_lem = $true )
=> ( ( complementT_lem = $true )
=> ( ( setextT = $true )
=> ( ( subsetTI = $true )
=> ( ( powersetTI1 = $true )
=> ( ( powersetTE1 = $true )
=> ( ( complementTI1 = $true )
=> ( ( complementTE1 = $true )
=> ( ( binintersectTELcontra = $true )
=> ( ( binintersectTERcontra = $true )
=> ( ( contrasubsetT = $true )
=> ( ( contrasubsetT1 = $true )
=> ( ( contrasubsetT2 = $true )
=> ( ( contrasubsetT3 = $true )
=> ( ( doubleComplementI1 = $true )
=> ( ( doubleComplementE1 = $true )
=> ( ( doubleComplementSub1 = $true )
=> ( ( doubleComplementSub2 = $true )
=> ( ( doubleComplementEq = $true )
=> ( ( complementTnotintersectT = $true )
=> ( ( complementImpComplementIntersect = $true )
=> ( ( complementSubsetComplementIntersect = $true )
=> ( ( complementInPowersetComplementIntersect = $true )
=> ( ( contraSubsetComplement = $true )
=> ( ( complementTcontraSubset = $true )
=> ( ( binunionTILcontra = $true )
=> ( ( binunionTIRcontra = $true )
=> ( ( inIntersectImpInUnion = $true )
=> ( ( inIntersectImpInUnion2 = $true )
=> ( ( inIntersectImpInIntersectUnions = $true )
=> ( ( intersectInPowersetIntersectUnions = $true )
=> ( ( inComplementUnionImpNotIn1 = $true )
=> ( ( inComplementUnionImpInComplement1 = $true )
=> ( ( binunionTE = $true )
=> ( ( binunionTEcontra = $true )
=> ( ( demorgan2a1 = $true )
=> ( ( complementUnionInPowersetComplement = $true )
=> ( ( demorgan2a2 = $true )
=> ( ( demorgan1a = $true )
=> ( ( demorgan1b = $true )
=> ( ( demorgan1 = $true )
=> ( ( demorgan2a = $true )
=> ( ( demorgan2b2 = $true )
=> ( ( demorgan2b = $true )
=> ( ( demorgan2 = $true )
=> ( ( woz13rule0 = $true )
=> ( ( woz13rule1 = $true )
=> ( ( woz13rule2 = $true )
=> ( ( woz13rule3 = $true )
=> ( ( woz13rule4 = $true )
=> ( ( woz1_1 = $true )
=> ( ( woz1_2 = $true )
=> ( ( woz1_3 = $true )
=> ( ( woz1_4 = $true )
=> ( ( woz1_5 = $true )
=> ( ( breln1all2 = $true )
=> ( ( breln1SetBreln1 = $true )
=> ( ( choice2fnsingleton = $true )
=> ( ( setOfPairsIsBReln1 = $true )
=> ( ( breln1all1 = $true )
=> ( ( subbreln1 = $true )
=> ( ( eqbreln1 = $true )
=> ( ( breln1invprop = $true )
=> ( ( breln1invI = $true )
=> ( ( breln1invE = $true )
=> ( ( breln1compprop = $true )
=> ( ( breln1compI = $true )
=> ( ( breln1compE = $true )
=> ( ( breln1compEex = $true )
=> ( ( breln1unionprop = $true )
=> ( ( breln1unionIL = $true )
=> ( ( breln1unionIR = $true )
=> ( ( breln1unionI = $true )
=> ( ( breln1unionE = $true )
=> ( ( breln1unionEcases = $true )
=> ( ( breln1unionCommutes = $true )
=> ( ( woz2Ex = $true )
=> ( ( woz2W = $true )
=> ( ( woz2A = $true )
=> ( ( woz2B = $true )
=> ( ( image1Ex = $true )
=> ( ( image1Ex1 = $true )
=> ( ( image1Equiv = $true )
=> ( ( image1E = $true )
=> ( ( image1I = $true )
=> ( ( injFuncInInjFuncSet = $true )
=> ! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X2 @ ( injFuncSet @ X1 @ X0 ) )
= $true )
=> ( ( in @ X2 @ ( funcSet @ X1 @ X0 ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f512]) ).
thf(f945,plain,
( ? [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X2 @ ( funcSet @ X1 @ X0 ) )
!= $true )
& ( ( in @ X2 @ ( injFuncSet @ X1 @ X0 ) )
= $true ) )
& ( injFuncInInjFuncSet = $true )
& ( image1I = $true )
& ( image1E = $true )
& ( image1Equiv = $true )
& ( image1Ex1 = $true )
& ( image1Ex = $true )
& ( woz2B = $true )
& ( woz2A = $true )
& ( woz2W = $true )
& ( woz2Ex = $true )
& ( breln1unionCommutes = $true )
& ( breln1unionEcases = $true )
& ( breln1unionE = $true )
& ( breln1unionI = $true )
& ( breln1unionIR = $true )
& ( breln1unionIL = $true )
& ( breln1unionprop = $true )
& ( breln1compEex = $true )
& ( breln1compE = $true )
& ( breln1compI = $true )
& ( breln1compprop = $true )
& ( breln1invE = $true )
& ( breln1invI = $true )
& ( breln1invprop = $true )
& ( eqbreln1 = $true )
& ( subbreln1 = $true )
& ( breln1all1 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( choice2fnsingleton = $true )
& ( breln1SetBreln1 = $true )
& ( breln1all2 = $true )
& ( woz1_5 = $true )
& ( woz1_4 = $true )
& ( woz1_3 = $true )
& ( woz1_2 = $true )
& ( woz1_1 = $true )
& ( woz13rule4 = $true )
& ( woz13rule3 = $true )
& ( woz13rule2 = $true )
& ( woz13rule1 = $true )
& ( woz13rule0 = $true )
& ( demorgan2 = $true )
& ( demorgan2b = $true )
& ( demorgan2b2 = $true )
& ( demorgan2a = $true )
& ( demorgan1 = $true )
& ( demorgan1b = $true )
& ( demorgan1a = $true )
& ( demorgan2a2 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( demorgan2a1 = $true )
& ( binunionTEcontra = $true )
& ( binunionTE = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( inIntersectImpInUnion2 = $true )
& ( inIntersectImpInUnion = $true )
& ( binunionTIRcontra = $true )
& ( binunionTILcontra = $true )
& ( complementTcontraSubset = $true )
& ( contraSubsetComplement = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementSubsetComplementIntersect = $true )
& ( complementImpComplementIntersect = $true )
& ( complementTnotintersectT = $true )
& ( doubleComplementEq = $true )
& ( doubleComplementSub2 = $true )
& ( doubleComplementSub1 = $true )
& ( doubleComplementE1 = $true )
& ( doubleComplementI1 = $true )
& ( contrasubsetT3 = $true )
& ( contrasubsetT2 = $true )
& ( contrasubsetT1 = $true )
& ( contrasubsetT = $true )
& ( binintersectTERcontra = $true )
& ( binintersectTELcontra = $true )
& ( complementTE1 = $true )
& ( complementTI1 = $true )
& ( powersetTE1 = $true )
& ( powersetTI1 = $true )
& ( subsetTI = $true )
& ( setextT = $true )
& ( complementT_lem = $true )
& ( setminusT_lem = $true )
& ( powersetT_lem = $true )
& ( binunionT_lem = $true )
& ( binintersectT_lem = $true )
& ( iftrueorfalse = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( theeq = $true )
& ( ifp = $true )
& ( ifSingleton = $true )
& ( iftrueProp2 = $true )
& ( iftrueProp1 = $true )
& ( iffalseProp2 = $true )
& ( iffalseProp1 = $true )
& ( eta2 = $true )
& ( beta2 = $true )
& ( lam2lamEq = $true )
& ( eta1 = $true )
& ( beta1 = $true )
& ( ap2apEq2 = $true )
& ( ap2apEq1 = $true )
& ( funcext2 = $true )
& ( funcext = $true )
& ( eqbreln = $true )
& ( subbreln = $true )
& ( funcGraphProp4 = $true )
& ( funcextLem = $true )
& ( funcGraphProp2 = $true )
& ( funcGraphProp3 = $true )
& ( funcGraphProp1 = $true )
& ( ex1E2 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( lam2p = $true )
& ( lamp = $true )
& ( lamProp = $true )
& ( funcinfuncset = $true )
& ( ap2p = $true )
& ( infuncsetfunc = $true )
& ( app = $true )
& ( apProp = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrER = $true )
& ( dpsetconstrEL2 = $true )
& ( dpsetconstrEL1 = $true )
& ( dpsetconstrERa = $true )
& ( setOfPairsIsBReln = $true )
& ( dpsetconstrSub = $true )
& ( dpsetconstrI = $true )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f513]) ).
thf(f946,plain,
( ( setextAx = $true )
& ( funcext2 = $true )
& ( singletonsuniq = $true )
& ( demorgan2a1 = $true )
& ( subsetE = $true )
& ( contrasubsetT2 = $true )
& ( contraSubsetComplement = $true )
& ( omegaIndAx = $true )
& ( funcinfuncset = $true )
& ( setunion__Cong = $true )
& ( cartprodpairmemEL = $true )
& ( breln1unionCommutes = $true )
& ( notdallE = $true )
& ( woz2Ex = $true )
& ( binintersectTELcontra = $true )
& ( woz1_2 = $true )
& ( ap2p = $true )
& ( subsetemptysetimpeq = $true )
& ( breln1unionEcases = $true )
& ( ksndpairEq = $true )
& ( inCongP = $true )
& ( subbreln = $true )
& ( emptysetAx = $true )
& ( breln1all1 = $true )
& ( binintersectSubset2 = $true )
& ( setminusI = $true )
& ( funcGraphProp1 = $true )
& ? [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X2 @ ( funcSet @ X1 @ X0 ) )
!= $true )
& ( ( in @ X2 @ ( injFuncSet @ X1 @ X0 ) )
= $true ) )
& ( quantDeMorgan1 = $true )
& ( funcGraphProp3 = $true )
& ( setunionsingleton = $true )
& ( binintersectSubset1 = $true )
& ( setukpairinjR12 = $true )
& ( lam2lamEq = $true )
& ( woz1_5 = $true )
& ( setukpairinjR = $true )
& ( binunionIL = $true )
& ( setunionsingleton1 = $true )
& ( upairinpowunion = $true )
& ( powersetTE1 = $true )
& ( secondinupair = $true )
& ( dpsetconstrEL1 = $true )
& ( demorgan2b = $true )
& ( demorgan2 = $true )
& ( woz1_3 = $true )
& ( complementTcontraSubset = $true )
& ( iffalseProp2 = $true )
& ( cartprodpairin = $true )
& ( ifSingleton = $true )
& ( dsetconstr__Cong = $true )
& ( complementTI1 = $true )
& ( breln1unionprop = $true )
& ( demorgan1b = $true )
& ( kfstsingleton = $true )
& ( breln1all2 = $true )
& ( setminusIRneg = $true )
& ( funcImageSingleton = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( woz13rule4 = $true )
& ( setadjoin__Cong = $true )
& ( subsetI1 = $true )
& ( woz2A = $true )
& ( in__Cong = $true )
& ( binunionTIRcontra = $true )
& ( vacuousDall = $true )
& ( upairequniteq = $true )
& ( powersetE = $true )
& ( subPowSU = $true )
& ( doubleComplementE1 = $true )
& ( lamp = $true )
& ( subbreln1 = $true )
& ( beta2 = $true )
& ( eta2 = $true )
& ( singletonsubset = $true )
& ( choice2fnsingleton = $true )
& ( breln1SetBreln1 = $true )
& ( emptyE1 = $true )
& ( ap2apEq2 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( nonemptyImpWitness = $true )
& ( contrasubsetT1 = $true )
& ( ifp = $true )
& ( woz13rule2 = $true )
& ( binunionT_lem = $true )
& ( setukpairIR = $true )
& ( dpsetconstrEL2 = $true )
& ( binintersectEL = $true )
& ( powersetsubset = $true )
& ( powerset__Cong = $true )
& ( setadjoinE = $true )
& ( setukpairinjL1 = $true )
& ( ksndsingleton = $true )
& ( symdiffIneg1 = $true )
& ( quantDeMorgan2 = $true )
& ( uniqinunit = $true )
& ( binunionTEcontra = $true )
& ( iftrueProp1 = $true )
& ( dpsetconstrSub = $true )
& ( breln1compEex = $true )
& ( setextT = $true )
& ( omegaSAx = $true )
& ( contrasubsetT3 = $true )
& ( dsetconstrEL = $true )
& ( kpairp = $true )
& ( dpsetconstrER = $true )
& ( notsubsetI = $true )
& ( setadjoinAx = $true )
& ( descr__Cong = $true )
& ( nonemptyI = $true )
& ( breln1unionIR = $true )
& ( exuI1 = $true )
& ( woz13rule3 = $true )
& ( setunionI = $true )
& ( setminusERneg = $true )
& ( setadjoinSub2 = $true )
& ( setunionE2 = $true )
& ( breln1invE = $true )
& ( replAx = $true )
& ( setukpairinjL = $true )
& ( eta1 = $true )
& ( notequalI1 = $true )
& ( cartprodpairmemER = $true )
& ( powersetE1 = $true )
& ( singletoninpowerset = $true )
& ( breln1unionIL = $true )
& ( brelnall1 = $true )
& ( upairsetIR = $true )
& ( complementT_lem = $true )
& ( iftrueorfalse = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( breln1compI = $true )
& ( noeltsimpempty = $true )
& ( dpsetconstrERa = $true )
& ( breln1compprop = $true )
& ( exu__Cong = $true )
& ( emptysetimpfalse = $true )
& ( breln1invI = $true )
& ( binunionRsub = $true )
& ( powersetTI1 = $true )
& ( exuI2 = $true )
& ( dsetconstrI = $true )
& ( doubleComplementI1 = $true )
& ( descrp = $true )
& ( upairset2E = $true )
& ( binunionLsub = $true )
& ( funcGraphProp2 = $true )
& ( powersetI1 = $true )
& ( ap2apEq1 = $true )
& ( demorgan2b2 = $true )
& ( demorgan1 = $true )
& ( setOfPairsIsBReln = $true )
& ( image1Ex = $true )
& ( iftrue = $true )
& ( symdiffI2 = $true )
& ( setminusELneg = $true )
& ( ubforcartprodlem3 = $true )
& ( setext = $true )
& ( ubforcartprodlem2 = $true )
& ( funcextLem = $true )
& ( binunionTE = $true )
& ( emptysetsubset = $true )
& ( binintersectSubset5 = $true )
& ( setminusER = $true )
& ( doubleComplementSub2 = $true )
& ( bs114d = $true )
& ( contrasubsetT = $true )
& ( app = $true )
& ( woz13rule1 = $true )
& ( setukpairinjL2 = $true )
& ( doubleComplementEq = $true )
& ( doubleComplementSub1 = $true )
& ( binintersectSubset3 = $true )
& ( woz1_1 = $true )
& ( iffalse = $true )
& ( omega0Ax = $true )
& ( subsetI2 = $true )
& ( subsetTI = $true )
& ( iffalseProp1 = $true )
& ( wellorderingAx = $true )
& ( powersetAx = $true )
& ( symdiffE = $true )
& ( exuE3u = $true )
& ( symdiffIneg2 = $true )
& ( cartprodsndin = $true )
& ( singletonprop = $true )
& ( inPowerset = $true )
& ( injFuncInInjFuncSet = $true )
& ( setunionE = $true )
& ( subsetTrans = $true )
& ( foundationAx = $true )
& ( woz2W = $true )
& ( upairsetE = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( disjointsetsI1 = $true )
& ( binunionTILcontra = $true )
& ( emptyinunitempty = $true )
& ( notinemptyset = $true )
& ( binintersectSubset4 = $true )
& ( setadjoinIL = $true )
& ( breln1unionI = $true )
& ( cartprodsndpairEq = $true )
& ( ex1I2 = $true )
& ( binintersectLsub = $true )
& ( beta1 = $true )
& ( setadjoinSub = $true )
& ( ex1I = $true )
& ( infuncsetfunc = $true )
& ( binintersectRsub = $true )
& ( notinsingleton = $true )
& ( binintersectER = $true )
& ( cartprodfstin = $true )
& ( exuE2 = $true )
& ( cartprodpairsurjEq = $true )
& ( exuEu = $true )
& ( binunionEcases = $true )
& ( emptyI = $true )
& ( binunionE = $true )
& ( prop2setI = $true )
& ( demorgan2a = $true )
& ( setminusSubset1 = $true )
& ( image1E = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setminusSubset2 = $true )
& ( setminusT_lem = $true )
& ( setminusILneg = $true )
& ( theprop = $true )
& ( woz2B = $true )
& ( demorgan1a = $true )
& ( emptysetE = $true )
& ( breln1unionE = $true )
& ( woz1_4 = $true )
& ( powersetT_lem = $true )
& ( inIntersectImpInUnion = $true )
& ( breln1compE = $true )
& ( demorgan2a2 = $true )
& ( subsetE2 = $true )
& ( setunionsingleton2 = $true )
& ( powersetI = $true )
& ( lam2p = $true )
& ( ex1E2 = $true )
& ( omega__Cong = $true )
& ( nonemptyE1 = $true )
& ( image1I = $true )
& ( exuE1 = $true )
& ( image1Equiv = $true )
& ( apProp = $true )
& ( image1Ex1 = $true )
& ( setukpairinjR1 = $true )
& ( theeq = $true )
& ( binintersectI = $true )
& ( kpairsurjEq = $true )
& ( ubforcartprodlem1 = $true )
& ( lamProp = $true )
& ( sepInPowerset = $true )
& ( iftrueProp2 = $true )
& ( kfstpairEq = $true )
& ( funcGraphProp4 = $true )
& ( emptyInPowerset = $true )
& ( eqbreln1 = $true )
& ( prop2setE = $true )
& ( binunionIR = $true )
& ( breln1invprop = $true )
& ( eqinunit = $true )
& ( setadjoinOr = $true )
& ( dpsetconstrI = $true )
& ( binintersectT_lem = $true )
& ( complementTnotintersectT = $true )
& ( symdiffI1 = $true )
& ( woz13rule0 = $true )
& ( complementTE1 = $true )
& ( brelnall2 = $true )
& ( notequalI2 = $true )
& ( eqimpsubset2 = $true )
& ( setminusLsub = $true )
& ( quantDeMorgan3 = $true )
& ( eqimpsubset1 = $true )
& ( complementImpComplementIntersect = $true )
& ( kpairiskpair = $true )
& ( binintersectTERcontra = $true )
& ( upairsetIL = $true )
& ( upairsubunion = $true )
& ( cartprodfstpairEq = $true )
& ( subsetRefl = $true )
& ( singletoninpowunion = $true )
& ( subset2powerset = $true )
& ( setukpairIL = $true )
& ( upairset2IR = $true )
& ( setukpairinjR11 = $true )
& ( emptyinPowerset = $true )
& ( setunionAx = $true )
& ( cartprodmempair = $true )
& ( exuE3e = $true )
& ( singletonsswitch = $true )
& ( funcext = $true )
& ( cartprodmempaircEq = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( cartprodmempair1 = $true )
& ( setminusEL = $true )
& ( ex1E1 = $true )
& ( nonemptyI1 = $true )
& ( setbeta = $true )
& ( emptyset__Cong = $true )
& ( setadjoinIR = $true )
& ( sepSubset = $true )
& ( setoftrueEq = $true )
& ( prop2set2propI = $true )
& ( setukpairinjR2 = $true )
& ( setextsub = $true )
& ( complementUnionInPowersetComplement = $true )
& ( complementSubsetComplementIntersect = $true )
& ( notdexE = $true )
& ( inIntersectImpInUnion2 = $true )
& ( eqbreln = $true )
& ( exuI3 = $true )
& ( dsetconstrER = $true )
& ( quantDeMorgan4 = $true ) ),
inference(flattening,[],[f945]) ).
thf(f947,plain,
( ( setextAx = $true )
& ( funcext2 = $true )
& ( singletonsuniq = $true )
& ( demorgan2a1 = $true )
& ( subsetE = $true )
& ( contrasubsetT2 = $true )
& ( contraSubsetComplement = $true )
& ( omegaIndAx = $true )
& ( funcinfuncset = $true )
& ( setunion__Cong = $true )
& ( cartprodpairmemEL = $true )
& ( breln1unionCommutes = $true )
& ( notdallE = $true )
& ( woz2Ex = $true )
& ( binintersectTELcontra = $true )
& ( woz1_2 = $true )
& ( ap2p = $true )
& ( subsetemptysetimpeq = $true )
& ( breln1unionEcases = $true )
& ( ksndpairEq = $true )
& ( inCongP = $true )
& ( subbreln = $true )
& ( emptysetAx = $true )
& ( breln1all1 = $true )
& ( binintersectSubset2 = $true )
& ( setminusI = $true )
& ( funcGraphProp1 = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( funcSet @ X0 @ X2 ) )
!= $true )
& ( ( in @ X1 @ ( injFuncSet @ X0 @ X2 ) )
= $true ) )
& ( quantDeMorgan1 = $true )
& ( funcGraphProp3 = $true )
& ( setunionsingleton = $true )
& ( binintersectSubset1 = $true )
& ( setukpairinjR12 = $true )
& ( lam2lamEq = $true )
& ( woz1_5 = $true )
& ( setukpairinjR = $true )
& ( binunionIL = $true )
& ( setunionsingleton1 = $true )
& ( upairinpowunion = $true )
& ( powersetTE1 = $true )
& ( secondinupair = $true )
& ( dpsetconstrEL1 = $true )
& ( demorgan2b = $true )
& ( demorgan2 = $true )
& ( woz1_3 = $true )
& ( complementTcontraSubset = $true )
& ( iffalseProp2 = $true )
& ( cartprodpairin = $true )
& ( ifSingleton = $true )
& ( dsetconstr__Cong = $true )
& ( complementTI1 = $true )
& ( breln1unionprop = $true )
& ( demorgan1b = $true )
& ( kfstsingleton = $true )
& ( breln1all2 = $true )
& ( setminusIRneg = $true )
& ( funcImageSingleton = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( woz13rule4 = $true )
& ( setadjoin__Cong = $true )
& ( subsetI1 = $true )
& ( woz2A = $true )
& ( in__Cong = $true )
& ( binunionTIRcontra = $true )
& ( vacuousDall = $true )
& ( upairequniteq = $true )
& ( powersetE = $true )
& ( subPowSU = $true )
& ( doubleComplementE1 = $true )
& ( lamp = $true )
& ( subbreln1 = $true )
& ( beta2 = $true )
& ( eta2 = $true )
& ( singletonsubset = $true )
& ( choice2fnsingleton = $true )
& ( breln1SetBreln1 = $true )
& ( emptyE1 = $true )
& ( ap2apEq2 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( nonemptyImpWitness = $true )
& ( contrasubsetT1 = $true )
& ( ifp = $true )
& ( woz13rule2 = $true )
& ( binunionT_lem = $true )
& ( setukpairIR = $true )
& ( dpsetconstrEL2 = $true )
& ( binintersectEL = $true )
& ( powersetsubset = $true )
& ( powerset__Cong = $true )
& ( setadjoinE = $true )
& ( setukpairinjL1 = $true )
& ( ksndsingleton = $true )
& ( symdiffIneg1 = $true )
& ( quantDeMorgan2 = $true )
& ( uniqinunit = $true )
& ( binunionTEcontra = $true )
& ( iftrueProp1 = $true )
& ( dpsetconstrSub = $true )
& ( breln1compEex = $true )
& ( setextT = $true )
& ( omegaSAx = $true )
& ( contrasubsetT3 = $true )
& ( dsetconstrEL = $true )
& ( kpairp = $true )
& ( dpsetconstrER = $true )
& ( notsubsetI = $true )
& ( setadjoinAx = $true )
& ( descr__Cong = $true )
& ( nonemptyI = $true )
& ( breln1unionIR = $true )
& ( exuI1 = $true )
& ( woz13rule3 = $true )
& ( setunionI = $true )
& ( setminusERneg = $true )
& ( setadjoinSub2 = $true )
& ( setunionE2 = $true )
& ( breln1invE = $true )
& ( replAx = $true )
& ( setukpairinjL = $true )
& ( eta1 = $true )
& ( notequalI1 = $true )
& ( cartprodpairmemER = $true )
& ( powersetE1 = $true )
& ( singletoninpowerset = $true )
& ( breln1unionIL = $true )
& ( brelnall1 = $true )
& ( upairsetIR = $true )
& ( complementT_lem = $true )
& ( iftrueorfalse = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( breln1compI = $true )
& ( noeltsimpempty = $true )
& ( dpsetconstrERa = $true )
& ( breln1compprop = $true )
& ( exu__Cong = $true )
& ( emptysetimpfalse = $true )
& ( breln1invI = $true )
& ( binunionRsub = $true )
& ( powersetTI1 = $true )
& ( exuI2 = $true )
& ( dsetconstrI = $true )
& ( doubleComplementI1 = $true )
& ( descrp = $true )
& ( upairset2E = $true )
& ( binunionLsub = $true )
& ( funcGraphProp2 = $true )
& ( powersetI1 = $true )
& ( ap2apEq1 = $true )
& ( demorgan2b2 = $true )
& ( demorgan1 = $true )
& ( setOfPairsIsBReln = $true )
& ( image1Ex = $true )
& ( iftrue = $true )
& ( symdiffI2 = $true )
& ( setminusELneg = $true )
& ( ubforcartprodlem3 = $true )
& ( setext = $true )
& ( ubforcartprodlem2 = $true )
& ( funcextLem = $true )
& ( binunionTE = $true )
& ( emptysetsubset = $true )
& ( binintersectSubset5 = $true )
& ( setminusER = $true )
& ( doubleComplementSub2 = $true )
& ( bs114d = $true )
& ( contrasubsetT = $true )
& ( app = $true )
& ( woz13rule1 = $true )
& ( setukpairinjL2 = $true )
& ( doubleComplementEq = $true )
& ( doubleComplementSub1 = $true )
& ( binintersectSubset3 = $true )
& ( woz1_1 = $true )
& ( iffalse = $true )
& ( omega0Ax = $true )
& ( subsetI2 = $true )
& ( subsetTI = $true )
& ( iffalseProp1 = $true )
& ( wellorderingAx = $true )
& ( powersetAx = $true )
& ( symdiffE = $true )
& ( exuE3u = $true )
& ( symdiffIneg2 = $true )
& ( cartprodsndin = $true )
& ( singletonprop = $true )
& ( inPowerset = $true )
& ( injFuncInInjFuncSet = $true )
& ( setunionE = $true )
& ( subsetTrans = $true )
& ( foundationAx = $true )
& ( woz2W = $true )
& ( upairsetE = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( disjointsetsI1 = $true )
& ( binunionTILcontra = $true )
& ( emptyinunitempty = $true )
& ( notinemptyset = $true )
& ( binintersectSubset4 = $true )
& ( setadjoinIL = $true )
& ( breln1unionI = $true )
& ( cartprodsndpairEq = $true )
& ( ex1I2 = $true )
& ( binintersectLsub = $true )
& ( beta1 = $true )
& ( setadjoinSub = $true )
& ( ex1I = $true )
& ( infuncsetfunc = $true )
& ( binintersectRsub = $true )
& ( notinsingleton = $true )
& ( binintersectER = $true )
& ( cartprodfstin = $true )
& ( exuE2 = $true )
& ( cartprodpairsurjEq = $true )
& ( exuEu = $true )
& ( binunionEcases = $true )
& ( emptyI = $true )
& ( binunionE = $true )
& ( prop2setI = $true )
& ( demorgan2a = $true )
& ( setminusSubset1 = $true )
& ( image1E = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setminusSubset2 = $true )
& ( setminusT_lem = $true )
& ( setminusILneg = $true )
& ( theprop = $true )
& ( woz2B = $true )
& ( demorgan1a = $true )
& ( emptysetE = $true )
& ( breln1unionE = $true )
& ( woz1_4 = $true )
& ( powersetT_lem = $true )
& ( inIntersectImpInUnion = $true )
& ( breln1compE = $true )
& ( demorgan2a2 = $true )
& ( subsetE2 = $true )
& ( setunionsingleton2 = $true )
& ( powersetI = $true )
& ( lam2p = $true )
& ( ex1E2 = $true )
& ( omega__Cong = $true )
& ( nonemptyE1 = $true )
& ( image1I = $true )
& ( exuE1 = $true )
& ( image1Equiv = $true )
& ( apProp = $true )
& ( image1Ex1 = $true )
& ( setukpairinjR1 = $true )
& ( theeq = $true )
& ( binintersectI = $true )
& ( kpairsurjEq = $true )
& ( ubforcartprodlem1 = $true )
& ( lamProp = $true )
& ( sepInPowerset = $true )
& ( iftrueProp2 = $true )
& ( kfstpairEq = $true )
& ( funcGraphProp4 = $true )
& ( emptyInPowerset = $true )
& ( eqbreln1 = $true )
& ( prop2setE = $true )
& ( binunionIR = $true )
& ( breln1invprop = $true )
& ( eqinunit = $true )
& ( setadjoinOr = $true )
& ( dpsetconstrI = $true )
& ( binintersectT_lem = $true )
& ( complementTnotintersectT = $true )
& ( symdiffI1 = $true )
& ( woz13rule0 = $true )
& ( complementTE1 = $true )
& ( brelnall2 = $true )
& ( notequalI2 = $true )
& ( eqimpsubset2 = $true )
& ( setminusLsub = $true )
& ( quantDeMorgan3 = $true )
& ( eqimpsubset1 = $true )
& ( complementImpComplementIntersect = $true )
& ( kpairiskpair = $true )
& ( binintersectTERcontra = $true )
& ( upairsetIL = $true )
& ( upairsubunion = $true )
& ( cartprodfstpairEq = $true )
& ( subsetRefl = $true )
& ( singletoninpowunion = $true )
& ( subset2powerset = $true )
& ( setukpairIL = $true )
& ( upairset2IR = $true )
& ( setukpairinjR11 = $true )
& ( emptyinPowerset = $true )
& ( setunionAx = $true )
& ( cartprodmempair = $true )
& ( exuE3e = $true )
& ( singletonsswitch = $true )
& ( funcext = $true )
& ( cartprodmempaircEq = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( cartprodmempair1 = $true )
& ( setminusEL = $true )
& ( ex1E1 = $true )
& ( nonemptyI1 = $true )
& ( setbeta = $true )
& ( emptyset__Cong = $true )
& ( setadjoinIR = $true )
& ( sepSubset = $true )
& ( setoftrueEq = $true )
& ( prop2set2propI = $true )
& ( setukpairinjR2 = $true )
& ( setextsub = $true )
& ( complementUnionInPowersetComplement = $true )
& ( complementSubsetComplementIntersect = $true )
& ( notdexE = $true )
& ( inIntersectImpInUnion2 = $true )
& ( eqbreln = $true )
& ( exuI3 = $true )
& ( dsetconstrER = $true )
& ( quantDeMorgan4 = $true ) ),
inference(rectify,[],[f946]) ).
thf(f948,plain,
( ( setextAx = $true )
& ( funcext2 = $true )
& ( singletonsuniq = $true )
& ( demorgan2a1 = $true )
& ( subsetE = $true )
& ( contrasubsetT2 = $true )
& ( contraSubsetComplement = $true )
& ( omegaIndAx = $true )
& ( funcinfuncset = $true )
& ( setunion__Cong = $true )
& ( cartprodpairmemEL = $true )
& ( breln1unionCommutes = $true )
& ( notdallE = $true )
& ( woz2Ex = $true )
& ( binintersectTELcontra = $true )
& ( woz1_2 = $true )
& ( ap2p = $true )
& ( subsetemptysetimpeq = $true )
& ( breln1unionEcases = $true )
& ( ksndpairEq = $true )
& ( inCongP = $true )
& ( subbreln = $true )
& ( emptysetAx = $true )
& ( breln1all1 = $true )
& ( binintersectSubset2 = $true )
& ( setminusI = $true )
& ( funcGraphProp1 = $true )
& ( ( in @ sK1 @ ( funcSet @ sK0 @ sK2 ) )
!= $true )
& ( ( in @ sK1 @ ( injFuncSet @ sK0 @ sK2 ) )
= $true )
& ( quantDeMorgan1 = $true )
& ( funcGraphProp3 = $true )
& ( setunionsingleton = $true )
& ( binintersectSubset1 = $true )
& ( setukpairinjR12 = $true )
& ( lam2lamEq = $true )
& ( woz1_5 = $true )
& ( setukpairinjR = $true )
& ( binunionIL = $true )
& ( setunionsingleton1 = $true )
& ( upairinpowunion = $true )
& ( powersetTE1 = $true )
& ( secondinupair = $true )
& ( dpsetconstrEL1 = $true )
& ( demorgan2b = $true )
& ( demorgan2 = $true )
& ( woz1_3 = $true )
& ( complementTcontraSubset = $true )
& ( iffalseProp2 = $true )
& ( cartprodpairin = $true )
& ( ifSingleton = $true )
& ( dsetconstr__Cong = $true )
& ( complementTI1 = $true )
& ( breln1unionprop = $true )
& ( demorgan1b = $true )
& ( kfstsingleton = $true )
& ( breln1all2 = $true )
& ( setminusIRneg = $true )
& ( funcImageSingleton = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( woz13rule4 = $true )
& ( setadjoin__Cong = $true )
& ( subsetI1 = $true )
& ( woz2A = $true )
& ( in__Cong = $true )
& ( binunionTIRcontra = $true )
& ( vacuousDall = $true )
& ( upairequniteq = $true )
& ( powersetE = $true )
& ( subPowSU = $true )
& ( doubleComplementE1 = $true )
& ( lamp = $true )
& ( subbreln1 = $true )
& ( beta2 = $true )
& ( eta2 = $true )
& ( singletonsubset = $true )
& ( choice2fnsingleton = $true )
& ( breln1SetBreln1 = $true )
& ( emptyE1 = $true )
& ( ap2apEq2 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( nonemptyImpWitness = $true )
& ( contrasubsetT1 = $true )
& ( ifp = $true )
& ( woz13rule2 = $true )
& ( binunionT_lem = $true )
& ( setukpairIR = $true )
& ( dpsetconstrEL2 = $true )
& ( binintersectEL = $true )
& ( powersetsubset = $true )
& ( powerset__Cong = $true )
& ( setadjoinE = $true )
& ( setukpairinjL1 = $true )
& ( ksndsingleton = $true )
& ( symdiffIneg1 = $true )
& ( quantDeMorgan2 = $true )
& ( uniqinunit = $true )
& ( binunionTEcontra = $true )
& ( iftrueProp1 = $true )
& ( dpsetconstrSub = $true )
& ( breln1compEex = $true )
& ( setextT = $true )
& ( omegaSAx = $true )
& ( contrasubsetT3 = $true )
& ( dsetconstrEL = $true )
& ( kpairp = $true )
& ( dpsetconstrER = $true )
& ( notsubsetI = $true )
& ( setadjoinAx = $true )
& ( descr__Cong = $true )
& ( nonemptyI = $true )
& ( breln1unionIR = $true )
& ( exuI1 = $true )
& ( woz13rule3 = $true )
& ( setunionI = $true )
& ( setminusERneg = $true )
& ( setadjoinSub2 = $true )
& ( setunionE2 = $true )
& ( breln1invE = $true )
& ( replAx = $true )
& ( setukpairinjL = $true )
& ( eta1 = $true )
& ( notequalI1 = $true )
& ( cartprodpairmemER = $true )
& ( powersetE1 = $true )
& ( singletoninpowerset = $true )
& ( breln1unionIL = $true )
& ( brelnall1 = $true )
& ( upairsetIR = $true )
& ( complementT_lem = $true )
& ( iftrueorfalse = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( breln1compI = $true )
& ( noeltsimpempty = $true )
& ( dpsetconstrERa = $true )
& ( breln1compprop = $true )
& ( exu__Cong = $true )
& ( emptysetimpfalse = $true )
& ( breln1invI = $true )
& ( binunionRsub = $true )
& ( powersetTI1 = $true )
& ( exuI2 = $true )
& ( dsetconstrI = $true )
& ( doubleComplementI1 = $true )
& ( descrp = $true )
& ( upairset2E = $true )
& ( binunionLsub = $true )
& ( funcGraphProp2 = $true )
& ( powersetI1 = $true )
& ( ap2apEq1 = $true )
& ( demorgan2b2 = $true )
& ( demorgan1 = $true )
& ( setOfPairsIsBReln = $true )
& ( image1Ex = $true )
& ( iftrue = $true )
& ( symdiffI2 = $true )
& ( setminusELneg = $true )
& ( ubforcartprodlem3 = $true )
& ( setext = $true )
& ( ubforcartprodlem2 = $true )
& ( funcextLem = $true )
& ( binunionTE = $true )
& ( emptysetsubset = $true )
& ( binintersectSubset5 = $true )
& ( setminusER = $true )
& ( doubleComplementSub2 = $true )
& ( bs114d = $true )
& ( contrasubsetT = $true )
& ( app = $true )
& ( woz13rule1 = $true )
& ( setukpairinjL2 = $true )
& ( doubleComplementEq = $true )
& ( doubleComplementSub1 = $true )
& ( binintersectSubset3 = $true )
& ( woz1_1 = $true )
& ( iffalse = $true )
& ( omega0Ax = $true )
& ( subsetI2 = $true )
& ( subsetTI = $true )
& ( iffalseProp1 = $true )
& ( wellorderingAx = $true )
& ( powersetAx = $true )
& ( symdiffE = $true )
& ( exuE3u = $true )
& ( symdiffIneg2 = $true )
& ( cartprodsndin = $true )
& ( singletonprop = $true )
& ( inPowerset = $true )
& ( injFuncInInjFuncSet = $true )
& ( setunionE = $true )
& ( subsetTrans = $true )
& ( foundationAx = $true )
& ( woz2W = $true )
& ( upairsetE = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( disjointsetsI1 = $true )
& ( binunionTILcontra = $true )
& ( emptyinunitempty = $true )
& ( notinemptyset = $true )
& ( binintersectSubset4 = $true )
& ( setadjoinIL = $true )
& ( breln1unionI = $true )
& ( cartprodsndpairEq = $true )
& ( ex1I2 = $true )
& ( binintersectLsub = $true )
& ( beta1 = $true )
& ( setadjoinSub = $true )
& ( ex1I = $true )
& ( infuncsetfunc = $true )
& ( binintersectRsub = $true )
& ( notinsingleton = $true )
& ( binintersectER = $true )
& ( cartprodfstin = $true )
& ( exuE2 = $true )
& ( cartprodpairsurjEq = $true )
& ( exuEu = $true )
& ( binunionEcases = $true )
& ( emptyI = $true )
& ( binunionE = $true )
& ( prop2setI = $true )
& ( demorgan2a = $true )
& ( setminusSubset1 = $true )
& ( image1E = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setminusSubset2 = $true )
& ( setminusT_lem = $true )
& ( setminusILneg = $true )
& ( theprop = $true )
& ( woz2B = $true )
& ( demorgan1a = $true )
& ( emptysetE = $true )
& ( breln1unionE = $true )
& ( woz1_4 = $true )
& ( powersetT_lem = $true )
& ( inIntersectImpInUnion = $true )
& ( breln1compE = $true )
& ( demorgan2a2 = $true )
& ( subsetE2 = $true )
& ( setunionsingleton2 = $true )
& ( powersetI = $true )
& ( lam2p = $true )
& ( ex1E2 = $true )
& ( omega__Cong = $true )
& ( nonemptyE1 = $true )
& ( image1I = $true )
& ( exuE1 = $true )
& ( image1Equiv = $true )
& ( apProp = $true )
& ( image1Ex1 = $true )
& ( setukpairinjR1 = $true )
& ( theeq = $true )
& ( binintersectI = $true )
& ( kpairsurjEq = $true )
& ( ubforcartprodlem1 = $true )
& ( lamProp = $true )
& ( sepInPowerset = $true )
& ( iftrueProp2 = $true )
& ( kfstpairEq = $true )
& ( funcGraphProp4 = $true )
& ( emptyInPowerset = $true )
& ( eqbreln1 = $true )
& ( prop2setE = $true )
& ( binunionIR = $true )
& ( breln1invprop = $true )
& ( eqinunit = $true )
& ( setadjoinOr = $true )
& ( dpsetconstrI = $true )
& ( binintersectT_lem = $true )
& ( complementTnotintersectT = $true )
& ( symdiffI1 = $true )
& ( woz13rule0 = $true )
& ( complementTE1 = $true )
& ( brelnall2 = $true )
& ( notequalI2 = $true )
& ( eqimpsubset2 = $true )
& ( setminusLsub = $true )
& ( quantDeMorgan3 = $true )
& ( eqimpsubset1 = $true )
& ( complementImpComplementIntersect = $true )
& ( kpairiskpair = $true )
& ( binintersectTERcontra = $true )
& ( upairsetIL = $true )
& ( upairsubunion = $true )
& ( cartprodfstpairEq = $true )
& ( subsetRefl = $true )
& ( singletoninpowunion = $true )
& ( subset2powerset = $true )
& ( setukpairIL = $true )
& ( upairset2IR = $true )
& ( setukpairinjR11 = $true )
& ( emptyinPowerset = $true )
& ( setunionAx = $true )
& ( cartprodmempair = $true )
& ( exuE3e = $true )
& ( singletonsswitch = $true )
& ( funcext = $true )
& ( cartprodmempaircEq = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( cartprodmempair1 = $true )
& ( setminusEL = $true )
& ( ex1E1 = $true )
& ( nonemptyI1 = $true )
& ( setbeta = $true )
& ( emptyset__Cong = $true )
& ( setadjoinIR = $true )
& ( sepSubset = $true )
& ( setoftrueEq = $true )
& ( prop2set2propI = $true )
& ( setukpairinjR2 = $true )
& ( setextsub = $true )
& ( complementUnionInPowersetComplement = $true )
& ( complementSubsetComplementIntersect = $true )
& ( notdexE = $true )
& ( inIntersectImpInUnion2 = $true )
& ( eqbreln = $true )
& ( exuI3 = $true )
& ( dsetconstrER = $true )
& ( quantDeMorgan4 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f947]) ).
thf(f1058,plain,
( injFuncSet
= ( ^ [Y0: $i,Y1: $i] :
( dsetconstr @ ( funcSet @ Y0 @ Y1 )
@ ^ [Y2: $i] : ( injective @ Y0 @ Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f336]) ).
thf(f1096,plain,
( dsetconstrEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y2 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f361]) ).
thf(f1443,plain,
dsetconstrEL = $true,
inference(cnf_transformation,[],[f948]) ).
thf(f1518,plain,
( ( in @ sK1 @ ( injFuncSet @ sK0 @ sK2 ) )
= $true ),
inference(cnf_transformation,[],[f948]) ).
thf(f1519,plain,
( ( in @ sK1 @ ( funcSet @ sK0 @ sK2 ) )
!= $true ),
inference(cnf_transformation,[],[f948]) ).
thf(f1732,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f1096,f1443]) ).
thf(f1864,plain,
( ( in @ sK1
@ ( ^ [Y0: $i,Y1: $i] :
( dsetconstr @ ( funcSet @ Y0 @ Y1 )
@ ^ [Y2: $i] : ( injective @ Y0 @ Y1 @ Y2 ) )
@ sK0
@ sK2 ) )
= $true ),
inference(definition_unfolding,[],[f1518,f1058]) ).
thf(f4657,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y2 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1732]) ).
thf(f4658,plain,
! [X1: $i] :
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( dsetconstr @ X1 @ Y0 ) )
=> ( in @ Y1 @ X1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f4657]) ).
thf(f4659,plain,
! [X2: $i > $o,X1: $i] :
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( dsetconstr @ X1 @ Y0 ) )
=> ( in @ Y1 @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f4658]) ).
thf(f4660,plain,
! [X2: $i > $o,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( dsetconstr @ X1 @ X2 ) )
=> ( in @ Y0 @ X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f4659]) ).
thf(f4661,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( in @ Y0 @ ( dsetconstr @ X1 @ X2 ) )
=> ( in @ Y0 @ X1 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f4660]) ).
thf(f4662,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( in @ X3 @ ( dsetconstr @ X1 @ X2 ) )
=> ( in @ X3 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f4661]) ).
thf(f4663,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( in @ X3 @ ( dsetconstr @ X1 @ X2 ) ) )
| ( ( in @ X3 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f4662]) ).
thf(f4788,plain,
( ( in @ sK1 @ ( dsetconstr @ ( funcSet @ sK0 @ sK2 ) @ ( injective @ sK0 @ sK2 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1864]) ).
thf(f7696,plain,
( ( ( in @ sK1 @ ( funcSet @ sK0 @ sK2 ) )
= $true )
| ( $false = $true ) ),
inference(superposition,[],[f4788,f4663]) ).
thf(f7705,plain,
( ( in @ sK1 @ ( funcSet @ sK0 @ sK2 ) )
= $true ),
inference(trivial_inequality_removal,[],[f7696]) ).
thf(f7712,plain,
$false,
inference(forward_subsumption_resolution,[],[f7705,f1519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU799^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n001.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 14:37:51 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running higher-order theorem proving
% 0.11/0.30 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
% 0.57/0.51 % (1328487)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.57/0.51 % (1328493)lrs+10_16_si=on:nwc=1.5:random_seed=2905438387:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.57/0.51 % (1328493)Instruction limit reached!
% 0.57/0.51 % (1328493)------------------------------
% 0.57/0.51 % (1328493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.51 % (1328493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.51 % (1328493)CaDiCaL version: 2.1.3
% 0.57/0.51 % (1328493)Termination reason: Instruction limit
% 0.57/0.51 % (1328493)Termination phase: shuffling
% 0.57/0.51 % (1328493)Time elapsed: 0.005 s
% 0.57/0.51 % (1328493)Peak memory usage: 10 MB
% 0.57/0.51 % (1328493)Instructions burned: 19 (million)
% 0.57/0.51 % (1328500)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3305941130:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.57/0.51 % (1328500)Instruction limit reached!
% 0.57/0.51 % (1328500)------------------------------
% 0.57/0.51 % (1328500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.51 % (1328500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.51 % (1328500)CaDiCaL version: 2.1.3
% 0.57/0.51 % (1328500)Termination reason: Instruction limit
% 0.57/0.51 % (1328500)Termination phase: shuffling
% 0.57/0.51 % (1328500)Time elapsed: 0.002 s
% 0.57/0.51 % (1328500)Peak memory usage: 10 MB
% 0.57/0.51 % (1328500)Instructions burned: 7 (million)
% 0.57/0.51 % (1328496)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3167440050:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.57/0.51 % (1328495)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=1173205320: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)
% 0.57/0.51 % (1328498)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.57/0.51 % (1328498)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
% 0.57/0.51 % (1328494)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=515896075:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.57/0.51 % (1328503)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=141946834:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.57/0.51 % (1328503)Instruction limit reached!
% 0.57/0.51 % (1328503)------------------------------
% 0.57/0.51 % (1328503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.51 % (1328503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.51 % (1328503)CaDiCaL version: 2.1.3
% 0.57/0.51 % (1328503)Termination reason: Instruction limit
% 0.57/0.51 % (1328503)Termination phase: shuffling
% 0.57/0.51 % (1328503)Time elapsed: 0.002 s
% 0.57/0.51 % (1328503)Peak memory usage: 10 MB
% 0.57/0.51 % (1328503)Instructions burned: 6 (million)
% 0.57/0.51 % (1328494)Instruction limit reached!
% 0.57/0.51 % (1328494)------------------------------
% 0.57/0.51 % (1328494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.51 % (1328494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.51 % (1328494)CaDiCaL version: 2.1.3
% 0.57/0.51 % (1328494)Termination reason: Instruction limit
% 0.57/0.51 % (1328494)Termination phase: shuffling
% 0.57/0.51 % (1328494)Time elapsed: 0.003 s
% 0.57/0.51 % (1328494)Peak memory usage: 10 MB
% 0.57/0.51 % (1328494)Instructions burned: 4 (million)
% 0.57/0.51 % (1328498)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=2659982191:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.57/0.51 % (1328496)Instruction limit reached!
% 0.57/0.51 % (1328496)------------------------------
% 0.57/0.51 % (1328496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.51 % (1328496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.51 % (1328496)CaDiCaL version: 2.1.3
% 0.57/0.51 % (1328496)Termination reason: Instruction limit
% 1.08/0.56 % (1328496)Termination phase: shuffling
% 1.08/0.56 % (1328496)Time elapsed: 0.021 s
% 1.08/0.56 % (1328496)Peak memory usage: 11 MB
% 1.08/0.56 % (1328496)Instructions burned: 24 (million)
% 1.08/0.56 % (1328507)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.08/0.56 % (1328507)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3540519789:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.08/0.56 % (1328507)Instruction limit reached!
% 1.08/0.56 % (1328507)------------------------------
% 1.08/0.56 % (1328507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.56 % (1328507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.56 % (1328507)CaDiCaL version: 2.1.3
% 1.08/0.56 % (1328507)Termination reason: Instruction limit
% 1.08/0.56 % (1328507)Termination phase: shuffling
% 1.08/0.56 % (1328507)Time elapsed: 0.003 s
% 1.08/0.56 % (1328507)Peak memory usage: 10 MB
% 1.08/0.56 % (1328507)Instructions burned: 11 (million)
% 1.08/0.56 % (1328492)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=900332634:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.08/0.56 % (1328497)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2247850357:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.08/0.56 % (1328512)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=3841998298:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.08/0.56 % (1328509)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2482837823:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.08/0.56 % (1328510)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
% 1.08/0.56 % (1328510)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.08/0.56 % (1328512)Instruction limit reached!
% 1.08/0.56 % (1328512)------------------------------
% 1.08/0.56 % (1328512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.56 % (1328512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.56 % (1328512)CaDiCaL version: 2.1.3
% 1.08/0.56 % (1328512)Termination reason: Instruction limit
% 1.08/0.56 % (1328512)Termination phase: Property scanning
% 1.08/0.56 % (1328512)Time elapsed: 0.019 s
% 1.08/0.56 % (1328512)Peak memory usage: 11 MB
% 1.08/0.56 % (1328512)Instructions burned: 86 (million)
% 1.08/0.56 % (1328510)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2617293320:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.08/0.56 % (1328509)Instruction limit reached!
% 1.08/0.56 % (1328509)------------------------------
% 1.08/0.56 % (1328509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.57 % (1328509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.57 % (1328509)CaDiCaL version: 2.1.3
% 1.08/0.57 % (1328509)Termination reason: Instruction limit
% 1.08/0.57 % (1328509)Termination phase: shuffling
% 1.08/0.57 % (1328509)Time elapsed: 0.010 s
% 1.08/0.57 % (1328509)Peak memory usage: 10 MB
% 1.08/0.57 % (1328509)Instructions burned: 12 (million)
% 1.08/0.57 % (1328517)lrs+10_1_si=on:cs=on:random_seed=2213759425:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.08/0.57 % (1328517)Instruction limit reached!
% 1.08/0.57 % (1328517)------------------------------
% 1.08/0.57 % (1328517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.57 % (1328517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.57 % (1328517)CaDiCaL version: 2.1.3
% 1.08/0.57 % (1328517)Termination reason: Instruction limit
% 1.08/0.57 % (1328517)Termination phase: shuffling
% 1.08/0.57 % (1328517)Time elapsed: 0.003 s
% 1.08/0.57 % (1328517)Peak memory usage: 10 MB
% 1.08/0.57 % (1328517)Instructions burned: 11 (million)
% 1.08/0.57 % (1328519)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.08/0.61 % (1328519)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=857857869:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.08/0.61 % (1328521)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=739727275:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.08/0.61 % (1328510)Instruction limit reached!
% 1.08/0.61 % (1328510)------------------------------
% 1.08/0.61 % (1328510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.61 % (1328510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.61 % (1328510)CaDiCaL version: 2.1.3
% 1.08/0.61 % (1328510)Termination reason: Instruction limit
% 1.08/0.61 % (1328510)Termination phase: shuffling
% 1.08/0.61 % (1328510)Time elapsed: 0.024 s
% 1.08/0.61 % (1328510)Peak memory usage: 11 MB
% 1.08/0.61 % (1328510)Instructions burned: 29 (million)
% 1.08/0.61 % (1328497)Instruction limit reached!
% 1.08/0.61 % (1328497)------------------------------
% 1.08/0.61 % (1328497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.61 % (1328497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.61 % (1328497)CaDiCaL version: 2.1.3
% 1.08/0.61 % (1328497)Termination reason: Instruction limit
% 1.08/0.61 % (1328497)Termination phase: Preprocessing 2
% 1.08/0.61 % (1328497)Time elapsed: 0.057 s
% 1.08/0.61 % (1328497)Peak memory usage: 11 MB
% 1.08/0.61 % (1328497)Instructions burned: 75 (million)
% 1.08/0.61 % (1328519)Instruction limit reached!
% 1.08/0.61 % (1328519)------------------------------
% 1.08/0.61 % (1328519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.61 % (1328519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.61 % (1328519)CaDiCaL version: 2.1.3
% 1.08/0.61 % (1328519)Termination reason: Instruction limit
% 1.08/0.61 % (1328519)Termination phase: shuffling
% 1.08/0.61 % (1328519)Time elapsed: 0.006 s
% 1.08/0.61 % (1328519)Peak memory usage: 10 MB
% 1.08/0.61 % (1328519)Instructions burned: 3 (million)
% 1.08/0.61 % (1328521)Instruction limit reached!
% 1.08/0.61 % (1328521)------------------------------
% 1.08/0.61 % (1328521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.61 % (1328521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.61 % (1328521)CaDiCaL version: 2.1.3
% 1.08/0.61 % (1328521)Termination reason: Instruction limit
% 1.08/0.61 % (1328521)Termination phase: Property scanning
% 1.08/0.61 % (1328521)Time elapsed: 0.010 s
% 1.08/0.61 % (1328521)Peak memory usage: 10 MB
% 1.08/0.61 % (1328521)Instructions burned: 41 (million)
% 1.08/0.61 % (1328498)Instruction limit reached!
% 1.08/0.61 % (1328498)------------------------------
% 1.08/0.61 % (1328498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.61 % (1328498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.61 % (1328498)CaDiCaL version: 2.1.3
% 1.08/0.61 % (1328498)Termination reason: Instruction limit
% 1.08/0.61 % (1328498)Termination phase: Twee Goal Transformation
% 1.08/0.61 % (1328498)Time elapsed: 0.083 s
% 1.08/0.61 % (1328498)Peak memory usage: 12 MB
% 1.08/0.61 % (1328498)Instructions burned: 157 (million)
% 1.08/0.61 % (1328492)Instruction limit reached!
% 1.08/0.61 % (1328492)------------------------------
% 1.08/0.61 % (1328492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.61 % (1328492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.61 % (1328492)CaDiCaL version: 2.1.3
% 1.08/0.61 % (1328492)Termination reason: Instruction limit
% 1.08/0.61 % (1328492)Termination phase: Preprocessing 3
% 1.08/0.61 % (1328492)Time elapsed: 0.072 s
% 1.08/0.61 % (1328492)Peak memory usage: 12 MB
% 1.08/0.61 % (1328492)Instructions burned: 88 (million)
% 1.08/0.61 % (1328527)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3475882521:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.08/0.61 % (1328524)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2031883347:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.08/0.61 % (1328525)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1939042469:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.97/0.67 % (1328528)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1638274521:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.97/0.67 % (1328526)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3392035511:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.97/0.67 % (1328529)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3023811374: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)
% 1.97/0.67 % (1328525)Instruction limit reached!
% 1.97/0.67 % (1328525)------------------------------
% 1.97/0.67 % (1328525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.67 % (1328525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.67 % (1328525)CaDiCaL version: 2.1.3
% 1.97/0.67 % (1328525)Termination reason: Instruction limit
% 1.97/0.67 % (1328525)Termination phase: shuffling
% 1.97/0.67 % (1328525)Time elapsed: 0.020 s
% 1.97/0.67 % (1328525)Peak memory usage: 11 MB
% 1.97/0.67 % (1328525)Instructions burned: 25 (million)
% 1.97/0.67 % (1328526)Instruction limit reached!
% 1.97/0.67 % (1328526)------------------------------
% 1.97/0.67 % (1328526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.67 % (1328526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.67 % (1328526)CaDiCaL version: 2.1.3
% 1.97/0.67 % (1328526)Termination reason: Instruction limit
% 1.97/0.67 % (1328526)Termination phase: shuffling
% 1.97/0.67 % (1328526)Time elapsed: 0.012 s
% 1.97/0.67 % (1328526)Peak memory usage: 10 MB
% 1.97/0.67 % (1328526)Instructions burned: 14 (million)
% 1.97/0.67 % (1328528)Instruction limit reached!
% 1.97/0.67 % (1328528)------------------------------
% 1.97/0.67 % (1328528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.67 % (1328528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.67 % (1328528)CaDiCaL version: 2.1.3
% 1.97/0.67 % (1328528)Termination reason: Instruction limit
% 1.97/0.67 % (1328528)Termination phase: shuffling
% 1.97/0.67 % (1328528)Time elapsed: 0.015 s
% 1.97/0.67 % (1328528)Peak memory usage: 10 MB
% 1.97/0.67 % (1328528)Instructions burned: 16 (million)
% 1.97/0.67 % (1328529)Instruction limit reached!
% 1.97/0.67 % (1328529)------------------------------
% 1.97/0.67 % (1328529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.67 % (1328529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.67 % (1328529)CaDiCaL version: 2.1.3
% 1.97/0.67 % (1328529)Termination reason: Instruction limit
% 1.97/0.67 % (1328529)Termination phase: shuffling
% 1.97/0.67 % (1328529)Time elapsed: 0.006 s
% 1.97/0.67 % (1328529)Peak memory usage: 10 MB
% 1.97/0.67 % (1328529)Instructions burned: 3 (million)
% 1.97/0.67 % (1328536)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3497348134:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.97/0.67 % (1328538)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1328880478:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.97/0.67 % (1328539)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.97/0.67 % (1328539)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.97/0.67 % (1328537)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1153642334:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.97/0.67 % (1328527)Instruction limit reached!
% 1.97/0.67 % (1328527)------------------------------
% 1.97/0.67 % (1328527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.67 % (1328527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.67 % (1328527)CaDiCaL version: 2.1.3
% 1.97/0.67 % (1328527)Termination reason: Instruction limit
% 1.97/0.67 % (1328527)Termination phase: Saturation
% 1.97/0.67 % (1328527)Time elapsed: 0.075 s
% 1.97/0.67 % (1328527)Peak memory usage: 15 MB
% 2.06/0.75 % (1328527)Instructions burned: 331 (million)
% 2.06/0.75 % (1328536)Instruction limit reached!
% 2.06/0.75 % (1328536)------------------------------
% 2.06/0.75 % (1328536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.75 % (1328536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.75 % (1328536)CaDiCaL version: 2.1.3
% 2.06/0.75 % (1328536)Termination reason: Instruction limit
% 2.06/0.75 % (1328536)Termination phase: shuffling
% 2.06/0.75 % (1328536)Time elapsed: 0.016 s
% 2.06/0.75 % (1328536)Peak memory usage: 10 MB
% 2.06/0.75 % (1328536)Instructions burned: 28 (million)
% 2.06/0.75 % (1328539)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=1192983371:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.06/0.75 % (1328543)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.06/0.75 % (1328537)Instruction limit reached!
% 2.06/0.75 % (1328537)------------------------------
% 2.06/0.75 % (1328537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.75 % (1328537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.75 % (1328537)CaDiCaL version: 2.1.3
% 2.06/0.75 % (1328537)Termination reason: Instruction limit
% 2.06/0.75 % (1328537)Termination phase: shuffling
% 2.06/0.75 % (1328537)Time elapsed: 0.011 s
% 2.06/0.75 % (1328537)Peak memory usage: 10 MB
% 2.06/0.75 % (1328537)Instructions burned: 24 (million)
% 2.06/0.75 % (1328543)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=4016218787:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.06/0.75 % (1328543)Instruction limit reached!
% 2.06/0.75 % (1328543)------------------------------
% 2.06/0.75 % (1328543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.75 % (1328543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.75 % (1328543)CaDiCaL version: 2.1.3
% 2.06/0.75 % (1328543)Termination reason: Instruction limit
% 2.06/0.75 % (1328543)Termination phase: shuffling
% 2.06/0.75 % (1328543)Time elapsed: 0.003 s
% 2.06/0.75 % (1328543)Peak memory usage: 10 MB
% 2.06/0.75 % (1328543)Instructions burned: 12 (million)
% 2.06/0.75 % (1328539)Instruction limit reached!
% 2.06/0.75 % (1328539)------------------------------
% 2.06/0.75 % (1328539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.75 % (1328539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.75 % (1328539)CaDiCaL version: 2.1.3
% 2.06/0.75 % (1328539)Termination reason: Instruction limit
% 2.06/0.75 % (1328539)Termination phase: shuffling
% 2.06/0.75 % (1328539)Time elapsed: 0.012 s
% 2.06/0.75 % (1328539)Peak memory usage: 10 MB
% 2.06/0.75 % (1328539)Instructions burned: 14 (million)
% 2.06/0.75 % (1328548)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3809628788:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.06/0.75 % (1328538)Instruction limit reached!
% 2.06/0.75 % (1328538)------------------------------
% 2.06/0.75 % (1328538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.75 % (1328538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.75 % (1328538)CaDiCaL version: 2.1.3
% 2.06/0.75 % (1328538)Termination reason: Instruction limit
% 2.06/0.75 % (1328538)Termination phase: shuffling
% 2.06/0.75 % (1328538)Time elapsed: 0.035 s
% 2.06/0.75 % (1328538)Peak memory usage: 11 MB
% 2.06/0.75 % (1328538)Instructions burned: 61 (million)
% 2.06/0.75 % (1328548)Instruction limit reached!
% 2.06/0.75 % (1328548)------------------------------
% 2.06/0.75 % (1328548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.75 % (1328548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.75 % (1328548)CaDiCaL version: 2.1.3
% 2.06/0.75 % (1328548)Termination reason: Instruction limit
% 2.06/0.75 % (1328548)Termination phase: shuffling
% 2.06/0.75 % (1328548)Time elapsed: 0.006 s
% 2.06/0.75 % (1328548)Peak memory usage: 10 MB
% 2.06/0.75 % (1328548)Instructions burned: 26 (million)
% 2.06/0.75 % (1328544)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=410897547:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.56/0.86 % (1328552)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1889160613:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.56/0.86 % (1328547)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3201365953:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.56/0.86 % (1328551)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1580487705:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.56/0.86 % (1328549)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3537655375:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.56/0.86 % (1328547)Instruction limit reached!
% 2.56/0.86 % (1328547)------------------------------
% 2.56/0.86 % (1328547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.86 % (1328547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.86 % (1328547)CaDiCaL version: 2.1.3
% 2.56/0.86 % (1328547)Termination reason: Instruction limit
% 2.56/0.86 % (1328547)Termination phase: shuffling
% 2.56/0.86 % (1328547)Time elapsed: 0.008 s
% 2.56/0.86 % (1328547)Peak memory usage: 10 MB
% 2.56/0.86 % (1328547)Instructions burned: 8 (million)
% 2.56/0.86 % (1328544)Instruction limit reached!
% 2.56/0.86 % (1328544)------------------------------
% 2.56/0.86 % (1328544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.86 % (1328544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.86 % (1328544)CaDiCaL version: 2.1.3
% 2.56/0.86 % (1328544)Termination reason: Instruction limit
% 2.56/0.86 % (1328544)Termination phase: shuffling
% 2.56/0.86 % (1328544)Time elapsed: 0.025 s
% 2.56/0.86 % (1328544)Peak memory usage: 11 MB
% 2.56/0.86 % (1328544)Instructions burned: 32 (million)
% 2.56/0.86 % (1328552)Instruction limit reached!
% 2.56/0.86 % (1328552)------------------------------
% 2.56/0.86 % (1328552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.86 % (1328552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.86 % (1328552)CaDiCaL version: 2.1.3
% 2.56/0.86 % (1328552)Termination reason: Instruction limit
% 2.56/0.86 % (1328552)Termination phase: Twee Goal Transformation
% 2.56/0.86 % (1328552)Time elapsed: 0.033 s
% 2.56/0.86 % (1328552)Peak memory usage: 12 MB
% 2.56/0.86 % (1328552)Instructions burned: 146 (million)
% 2.56/0.86 % (1328549)Instruction limit reached!
% 2.56/0.86 % (1328549)------------------------------
% 2.56/0.86 % (1328549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.86 % (1328549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.86 % (1328549)CaDiCaL version: 2.1.3
% 2.56/0.86 % (1328549)Termination reason: Instruction limit
% 2.56/0.86 % (1328549)Termination phase: shuffling
% 2.56/0.86 % (1328549)Time elapsed: 0.023 s
% 2.56/0.86 % (1328549)Peak memory usage: 10 MB
% 2.56/0.86 % (1328549)Instructions burned: 22 (million)
% 2.56/0.86 % (1328560)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.56/0.86 % (1328558)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1794347079:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.56/0.86 % (1328560)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2530038200:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.56/0.86 % (1328560)Instruction limit reached!
% 2.56/0.86 % (1328560)------------------------------
% 2.56/0.86 % (1328560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.86 % (1328560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.86 % (1328560)CaDiCaL version: 2.1.3
% 2.56/0.86 % (1328560)Termination reason: Instruction limit
% 2.56/0.86 % (1328560)Termination phase: shuffling
% 2.56/0.86 % (1328560)Time elapsed: 0.002 s
% 2.56/0.86 % (1328560)Peak memory usage: 10 MB
% 2.56/0.86 % (1328560)Instructions burned: 8 (million)
% 2.56/0.86 % (1328559)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3131347515:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.56/0.86 % (1328564)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=1036828425:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.96/0.95 % (1328561)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3156977593:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.96/0.95 % (1328524)Instruction limit reached!
% 2.96/0.95 % (1328524)------------------------------
% 2.96/0.95 % (1328524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.95 % (1328524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.95 % (1328524)CaDiCaL version: 2.1.3
% 2.96/0.95 % (1328524)Termination reason: Instruction limit
% 2.96/0.95 % (1328524)Termination phase: Saturation
% 2.96/0.95 % (1328524)Time elapsed: 0.190 s
% 2.96/0.95 % (1328524)Peak memory usage: 14 MB
% 2.96/0.95 % (1328524)Instructions burned: 250 (million)
% 2.96/0.95 % (1328559)Instruction limit reached!
% 2.96/0.95 % (1328559)------------------------------
% 2.96/0.95 % (1328559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.95 % (1328559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.95 % (1328559)CaDiCaL version: 2.1.3
% 2.96/0.95 % (1328559)Termination reason: Instruction limit
% 2.96/0.95 % (1328559)Termination phase: shuffling
% 2.96/0.95 % (1328559)Time elapsed: 0.040 s
% 2.96/0.95 % (1328559)Peak memory usage: 11 MB
% 2.96/0.95 % (1328559)Instructions burned: 42 (million)
% 2.96/0.95 % (1328564)Instruction limit reached!
% 2.96/0.95 % (1328564)------------------------------
% 2.96/0.95 % (1328564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.95 % (1328564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.95 % (1328564)CaDiCaL version: 2.1.3
% 2.96/0.95 % (1328564)Termination reason: Instruction limit
% 2.96/0.95 % (1328564)Termination phase: Property scanning
% 2.96/0.95 % (1328564)Time elapsed: 0.038 s
% 2.96/0.95 % (1328564)Peak memory usage: 12 MB
% 2.96/0.95 % (1328564)Instructions burned: 170 (million)
% 2.96/0.95 % (1328570)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1188991259:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 2.96/0.95 % (1328570)Instruction limit reached!
% 2.96/0.95 % (1328570)------------------------------
% 2.96/0.95 % (1328570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.95 % (1328570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.95 % (1328570)CaDiCaL version: 2.1.3
% 2.96/0.95 % (1328570)Termination reason: Instruction limit
% 2.96/0.95 % (1328570)Termination phase: shuffling
% 2.96/0.95 % (1328570)Time elapsed: 0.005 s
% 2.96/0.95 % (1328570)Peak memory usage: 10 MB
% 2.96/0.95 % (1328570)Instructions burned: 20 (million)
% 2.96/0.95 % (1328568)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.96/0.95 % (1328569)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3434525229:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.96/0.95 % (1328568)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=433874112:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.96/0.95 % (1328572)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1528391854:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 2.96/0.95 % (1328568)Instruction limit reached!
% 2.96/0.95 % (1328568)------------------------------
% 2.96/0.95 % (1328568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.95 % (1328568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.95 % (1328568)CaDiCaL version: 2.1.3
% 2.96/0.95 % (1328568)Termination reason: Instruction limit
% 2.96/0.95 % (1328568)Termination phase: shuffling
% 2.96/0.95 % (1328568)Time elapsed: 0.007 s
% 2.96/0.95 % (1328568)Peak memory usage: 10 MB
% 2.96/0.95 % (1328568)Instructions burned: 6 (million)
% 2.96/0.95 % (1328569)Instruction limit reached!
% 2.96/0.95 % (1328569)------------------------------
% 2.96/0.95 % (1328569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.07 % (1328569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.07 % (1328569)CaDiCaL version: 2.1.3
% 4.46/1.07 % (1328569)Termination reason: Instruction limit
% 4.46/1.07 % (1328569)Termination phase: shuffling
% 4.46/1.07 % (1328569)Time elapsed: 0.019 s
% 4.46/1.07 % (1328569)Peak memory usage: 11 MB
% 4.46/1.07 % (1328569)Instructions burned: 22 (million)
% 4.46/1.07 % (1328558)Instruction limit reached!
% 4.46/1.07 % (1328558)------------------------------
% 4.46/1.07 % (1328558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.07 % (1328558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.07 % (1328558)CaDiCaL version: 2.1.3
% 4.46/1.07 % (1328558)Termination reason: Instruction limit
% 4.46/1.07 % (1328558)Termination phase: Property scanning
% 4.46/1.07 % (1328558)Time elapsed: 0.110 s
% 4.46/1.07 % (1328558)Peak memory usage: 12 MB
% 4.46/1.07 % (1328558)Instructions burned: 195 (million)
% 4.46/1.07 % (1328577)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3322308155:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 4.46/1.07 % (1328576)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=494428930:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 4.46/1.07 % (1328561)Instruction limit reached!
% 4.46/1.07 % (1328561)------------------------------
% 4.46/1.07 % (1328561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.07 % (1328561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.07 % (1328561)CaDiCaL version: 2.1.3
% 4.46/1.07 % (1328561)Termination reason: Instruction limit
% 4.46/1.07 % (1328561)Termination phase: Property scanning
% 4.46/1.07 % (1328561)Time elapsed: 0.102 s
% 4.46/1.07 % (1328561)Peak memory usage: 12 MB
% 4.46/1.07 % (1328561)Instructions burned: 182 (million)
% 4.46/1.07 % (1328578)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3598662979:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 4.46/1.07 % (1328572)Instruction limit reached!
% 4.46/1.07 % (1328572)------------------------------
% 4.46/1.07 % (1328572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.07 % (1328572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.07 % (1328572)CaDiCaL version: 2.1.3
% 4.46/1.07 % (1328572)Termination reason: Instruction limit
% 4.46/1.07 % (1328572)Termination phase: Saturation
% 4.46/1.07 % (1328572)Time elapsed: 0.074 s
% 4.46/1.07 % (1328572)Peak memory usage: 16 MB
% 4.46/1.07 % (1328572)Instructions burned: 320 (million)
% 4.46/1.07 % (1328577)Instruction limit reached!
% 4.46/1.07 % (1328577)------------------------------
% 4.46/1.07 % (1328577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.07 % (1328577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.07 % (1328577)CaDiCaL version: 2.1.3
% 4.46/1.07 % (1328577)Termination reason: Instruction limit
% 4.46/1.07 % (1328577)Termination phase: shuffling
% 4.46/1.07 % (1328577)Time elapsed: 0.032 s
% 4.46/1.07 % (1328577)Peak memory usage: 11 MB
% 4.46/1.07 % (1328577)Instructions burned: 46 (million)
% 4.46/1.07 % (1328583)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 4.46/1.07 % (1328583)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1447628669:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 4.46/1.07 % (1328581)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2553895631:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 4.46/1.07 % (1328584)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2713292358:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 4.46/1.07 % (1328584)Instruction limit reached!
% 4.46/1.07 % (1328584)------------------------------
% 4.46/1.07 % (1328584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.07 % (1328584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.24 % (1328584)CaDiCaL version: 2.1.3
% 5.09/1.24 % (1328584)Termination reason: Instruction limit
% 5.09/1.24 % (1328584)Termination phase: shuffling
% 5.09/1.24 % (1328584)Time elapsed: 0.007 s
% 5.09/1.24 % (1328584)Peak memory usage: 10 MB
% 5.09/1.24 % (1328584)Instructions burned: 14 (million)
% 5.09/1.24 % (1328581)Instruction limit reached!
% 5.09/1.24 % (1328581)------------------------------
% 5.09/1.24 % (1328581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.24 % (1328581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.24 % (1328581)CaDiCaL version: 2.1.3
% 5.09/1.24 % (1328581)Termination reason: Instruction limit
% 5.09/1.24 % (1328581)Termination phase: shuffling
% 5.09/1.24 % (1328581)Time elapsed: 0.021 s
% 5.09/1.24 % (1328581)Peak memory usage: 10 MB
% 5.09/1.24 % (1328581)Instructions burned: 21 (million)
% 5.09/1.24 % (1328583)Instruction limit reached!
% 5.09/1.24 % (1328583)------------------------------
% 5.09/1.24 % (1328583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.24 % (1328583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.24 % (1328583)CaDiCaL version: 2.1.3
% 5.09/1.24 % (1328583)Termination reason: Instruction limit
% 5.09/1.24 % (1328583)Termination phase: Saturation
% 5.09/1.24 % (1328583)Time elapsed: 0.045 s
% 5.09/1.24 % (1328583)Peak memory usage: 13 MB
% 5.09/1.24 % (1328583)Instructions burned: 201 (million)
% 5.09/1.24 % (1328590)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3704076468:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 5.09/1.24 % (1328590)Instruction limit reached!
% 5.09/1.24 % (1328590)------------------------------
% 5.09/1.24 % (1328590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.24 % (1328590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.24 % (1328590)CaDiCaL version: 2.1.3
% 5.09/1.24 % (1328590)Termination reason: Instruction limit
% 5.09/1.24 % (1328590)Termination phase: shuffling
% 5.09/1.24 % (1328590)Time elapsed: 0.008 s
% 5.09/1.24 % (1328590)Peak memory usage: 11 MB
% 5.09/1.24 % (1328590)Instructions burned: 33 (million)
% 5.09/1.24 % (1328588)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1857505780:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.09/1.24 % (1328592)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=933763930:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.09/1.24 % (1328589)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3763421042:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 5.09/1.24 % (1328592)Instruction limit reached!
% 5.09/1.24 % (1328592)------------------------------
% 5.09/1.24 % (1328592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.24 % (1328592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.24 % (1328592)CaDiCaL version: 2.1.3
% 5.09/1.24 % (1328592)Termination reason: Instruction limit
% 5.09/1.24 % (1328592)Termination phase: Twee Goal Transformation
% 5.09/1.24 % (1328592)Time elapsed: 0.031 s
% 5.09/1.24 % (1328592)Peak memory usage: 12 MB
% 5.09/1.24 % (1328592)Instructions burned: 139 (million)
% 5.09/1.24 % (1328596)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2871043472:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.09/1.24 % (1328589)Instruction limit reached!
% 5.09/1.24 % (1328589)------------------------------
% 5.09/1.24 % (1328589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.24 % (1328589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.24 % (1328589)CaDiCaL version: 2.1.3
% 5.09/1.24 % (1328589)Termination reason: Instruction limit
% 5.09/1.24 % (1328589)Termination phase: Property scanning
% 5.09/1.24 % (1328589)Time elapsed: 0.047 s
% 5.09/1.24 % (1328589)Peak memory usage: 11 MB
% 5.09/1.24 % (1328589)Instructions burned: 52 (million)
% 5.09/1.24 % (1328596)Instruction limit reached!
% 5.09/1.24 % (1328596)------------------------------
% 5.09/1.24 % (1328596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.24 % (1328596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.45 % (1328596)CaDiCaL version: 2.1.3
% 6.01/1.45 % (1328596)Termination reason: Instruction limit
% 6.01/1.45 % (1328596)Termination phase: shuffling
% 6.01/1.45 % (1328596)Time elapsed: 0.008 s
% 6.01/1.45 % (1328596)Peak memory usage: 11 MB
% 6.01/1.45 % (1328596)Instructions burned: 35 (million)
% 6.01/1.45 % (1328588)Instruction limit reached!
% 6.01/1.45 % (1328588)------------------------------
% 6.01/1.45 % (1328588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.45 % (1328588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.45 % (1328588)CaDiCaL version: 2.1.3
% 6.01/1.45 % (1328588)Termination reason: Instruction limit
% 6.01/1.45 % (1328588)Termination phase: Property scanning
% 6.01/1.45 % (1328588)Time elapsed: 0.056 s
% 6.01/1.45 % (1328588)Peak memory usage: 11 MB
% 6.01/1.45 % (1328588)Instructions burned: 67 (million)
% 6.01/1.45 % (1328495)Instruction limit reached!
% 6.01/1.45 % (1328495)------------------------------
% 6.01/1.45 % (1328495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.45 % (1328495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.45 % (1328495)CaDiCaL version: 2.1.3
% 6.01/1.45 % (1328495)Termination reason: Instruction limit
% 6.01/1.45 % (1328495)Termination phase: Saturation
% 6.01/1.45 % (1328495)Time elapsed: 0.572 s
% 6.01/1.45 % (1328495)Peak memory usage: 22 MB
% 6.01/1.45 % (1328495)Instructions burned: 635 (million)
% 6.01/1.45 % (1328600)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=396072257:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 6.01/1.45 % (1328598)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2089251577:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 6.01/1.45 % (1328599)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 6.01/1.45 % (1328599)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2776228679:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 6.01/1.45 % (1328601)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=4209883503:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 6.01/1.45 % (1328600)Instruction limit reached!
% 6.01/1.45 % (1328600)------------------------------
% 6.01/1.45 % (1328600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.45 % (1328600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.45 % (1328600)CaDiCaL version: 2.1.3
% 6.01/1.45 % (1328600)Termination reason: Instruction limit
% 6.01/1.45 % (1328600)Termination phase: Saturation
% 6.01/1.45 % (1328600)Time elapsed: 0.055 s
% 6.01/1.45 % (1328600)Peak memory usage: 14 MB
% 6.01/1.45 % (1328600)Instructions burned: 248 (million)
% 6.01/1.45 % (1328598)Instruction limit reached!
% 6.01/1.45 % (1328598)------------------------------
% 6.01/1.45 % (1328598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.45 % (1328598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.45 % (1328598)CaDiCaL version: 2.1.3
% 6.01/1.45 % (1328598)Termination reason: Instruction limit
% 6.01/1.45 % (1328598)Termination phase: Property scanning
% 6.01/1.45 % (1328598)Time elapsed: 0.054 s
% 6.01/1.45 % (1328598)Peak memory usage: 11 MB
% 6.01/1.45 % (1328598)Instructions burned: 67 (million)
% 6.01/1.45 % (1328606)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=315194517:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 6.01/1.45 % (1328578)Instruction limit reached!
% 6.01/1.45 % (1328578)------------------------------
% 6.01/1.45 % (1328578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.45 % (1328578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.45 % (1328578)CaDiCaL version: 2.1.3
% 6.01/1.45 % (1328578)Termination reason: Instruction limit
% 6.01/1.45 % (1328578)Termination phase: Saturation
% 6.01/1.45 % (1328578)Time elapsed: 0.271 s
% 6.01/1.45 % (1328578)Peak memory usage: 19 MB
% 6.01/1.45 % (1328578)Instructions burned: 481 (million)
% 6.01/1.45 % (1328601)Instruction limit reached!
% 6.01/1.45 % (1328601)------------------------------
% 6.01/1.45 % (1328601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.45 % (1328601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328601)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328601)Termination reason: Instruction limit
% 6.75/1.53 % (1328601)Termination phase: Property scanning
% 6.75/1.53 % (1328601)Time elapsed: 0.076 s
% 6.75/1.53 % (1328601)Peak memory usage: 12 MB
% 6.75/1.53 % (1328601)Instructions burned: 97 (million)
% 6.75/1.53 % (1328607)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=148302808:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 6.75/1.53 % (1328609)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3345288761:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 6.75/1.53 % (1328611)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3870740118:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.75/1.53 % (1328599)Instruction limit reached!
% 6.75/1.53 % (1328599)------------------------------
% 6.75/1.53 % (1328599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328599)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328599)Termination reason: Instruction limit
% 6.75/1.53 % (1328599)Termination phase: Property scanning
% 6.75/1.53 % (1328599)Time elapsed: 0.138 s
% 6.75/1.53 % (1328599)Peak memory usage: 11 MB
% 6.75/1.53 % (1328599)Instructions burned: 181 (million)
% 6.75/1.53 % (1328606)Instruction limit reached!
% 6.75/1.53 % (1328606)------------------------------
% 6.75/1.53 % (1328606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328606)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328606)Termination reason: Instruction limit
% 6.75/1.53 % (1328606)Termination phase: Saturation
% 6.75/1.53 % (1328606)Time elapsed: 0.105 s
% 6.75/1.53 % (1328606)Peak memory usage: 16 MB
% 6.75/1.53 % (1328606)Instructions burned: 429 (million)
% 6.75/1.53 % (1328611)Instruction limit reached!
% 6.75/1.53 % (1328611)------------------------------
% 6.75/1.53 % (1328611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328611)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328611)Termination reason: Instruction limit
% 6.75/1.53 % (1328611)Termination phase: Property scanning
% 6.75/1.53 % (1328611)Time elapsed: 0.058 s
% 6.75/1.53 % (1328611)Peak memory usage: 12 MB
% 6.75/1.53 % (1328611)Instructions burned: 132 (million)
% 6.75/1.53 % (1328615)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2554249339:i=44:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/44Mi)
% 6.75/1.53 % (1328618)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4059838216:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 6.75/1.53 % (1328615)Instruction limit reached!
% 6.75/1.53 % (1328615)------------------------------
% 6.75/1.53 % (1328615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328615)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328615)Termination reason: Instruction limit
% 6.75/1.53 % (1328615)Termination phase: shuffling
% 6.75/1.53 % (1328615)Time elapsed: 0.020 s
% 6.75/1.53 % (1328615)Peak memory usage: 11 MB
% 6.75/1.53 % (1328615)Instructions burned: 46 (million)
% 6.75/1.53 % (1328620)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3847498880:i=450:rtra=on:ixr=off:ntd=on_2991 on theBenchmark for (2991ds/450Mi)
% 6.75/1.53 % (1328623)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=939547707:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/95Mi)
% 6.75/1.53 % (1328623)Instruction limit reached!
% 6.75/1.53 % (1328623)------------------------------
% 6.75/1.53 % (1328623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328623)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328623)Termination reason: Instruction limit
% 6.75/1.53 % (1328623)Termination phase: Property scanning
% 6.75/1.53 % (1328623)Time elapsed: 0.041 s
% 6.75/1.53 % (1328623)Peak memory usage: 12 MB
% 6.75/1.53 % (1328623)Instructions burned: 96 (million)
% 6.75/1.53 % (1328626)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3044943838:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2990 on theBenchmark for (2990ds/65Mi)
% 6.75/1.53 % (1328551) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1328487-1328551"...
% 6.75/1.53 % (1328626)Instruction limit reached!
% 6.75/1.53 % (1328626)------------------------------
% 6.75/1.53 % (1328626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328626)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328626)Termination reason: Instruction limit
% 6.75/1.53 % (1328626)Termination phase: Property scanning
% 6.75/1.53 % (1328626)Time elapsed: 0.028 s
% 6.75/1.53 % (1328626)Peak memory usage: 11 MB
% 6.75/1.53 % (1328626)Instructions burned: 67 (million)
% 6.75/1.53 % (1328628)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1177545322:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2990 on theBenchmark for (2990ds/105Mi)
% 6.75/1.53 % (1328628)Instruction limit reached!
% 6.75/1.53 % (1328628)------------------------------
% 6.75/1.53 % (1328628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328628)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328628)Termination reason: Instruction limit
% 6.75/1.53 % (1328628)Termination phase: SInE selection
% 6.75/1.53 % (1328628)Time elapsed: 0.055 s
% 6.75/1.53 % (1328628)Peak memory usage: 11 MB
% 6.75/1.53 % (1328628)Instructions burned: 105 (million)
% 6.75/1.53 % (1328609)Instruction limit reached!
% 6.75/1.53 % (1328609)------------------------------
% 6.75/1.53 % (1328609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328609)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328609)Termination reason: Instruction limit
% 6.75/1.53 % (1328609)Termination phase: Saturation
% 6.75/1.53 % (1328609)Time elapsed: 0.282 s
% 6.75/1.53 % (1328609)Peak memory usage: 17 MB
% 6.75/1.53 % (1328609)Instructions burned: 516 (million)
% 6.75/1.53 % (1328630)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=2166926024:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2989 on theBenchmark for (2989ds/5755Mi)
% 6.75/1.53 % (1328618)Instruction limit reached!
% 6.75/1.53 % (1328618)------------------------------
% 6.75/1.53 % (1328618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328618)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328618)Termination reason: Instruction limit
% 6.75/1.53 % (1328618)Termination phase: Saturation
% 6.75/1.53 % (1328618)Time elapsed: 0.235 s
% 6.75/1.53 % (1328618)Peak memory usage: 20 MB
% 6.75/1.53 % (1328618)Instructions burned: 573 (million)
% 6.75/1.53 % (1328631)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2847497951:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/375Mi)
% 6.75/1.53 % (1328634)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4108334479:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/495Mi)
% 6.75/1.53 % (1328620)Instruction limit reached!
% 6.75/1.53 % (1328620)------------------------------
% 6.75/1.53 % (1328620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328620)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328620)Termination reason: Instruction limit
% 6.75/1.53 % (1328620)Termination phase: Saturation
% 6.75/1.53 % (1328620)Time elapsed: 0.245 s
% 6.75/1.53 % (1328620)Peak memory usage: 18 MB
% 6.75/1.53 % (1328620)Instructions burned: 450 (million)
% 6.75/1.53 % (1328637)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=4113827790:cond=on:i=34:hud=10:nm=10:rtra=on_2988 on theBenchmark for (2988ds/34Mi)
% 6.75/1.53 % (1328576)Instruction limit reached!
% 6.75/1.53 % (1328576)------------------------------
% 6.75/1.53 % (1328576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328576)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328576)Termination reason: Instruction limit
% 6.75/1.53 % (1328576)Termination phase: Saturation
% 6.75/1.53 % (1328576)Time elapsed: 0.669 s
% 6.75/1.53 % (1328576)Peak memory usage: 23 MB
% 6.75/1.53 % (1328576)Instructions burned: 854 (million)
% 6.75/1.53 % (1328637)Instruction limit reached!
% 6.75/1.53 % (1328637)------------------------------
% 6.75/1.53 % (1328637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328637)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328637)Termination reason: Instruction limit
% 6.75/1.53 % (1328637)Termination phase: shuffling
% 6.75/1.53 % (1328637)Time elapsed: 0.015 s
% 6.75/1.53 % (1328637)Peak memory usage: 11 MB
% 6.75/1.53 % (1328637)Instructions burned: 34 (million)
% 6.75/1.53 % (1328639)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3253778258:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/91Mi)
% 6.75/1.53 % (1328640)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=4253259744:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2988 on theBenchmark for (2988ds/66Mi)
% 6.75/1.53 % (1328607) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1328487-1328607"...
% 6.75/1.53 % (1328640)Instruction limit reached!
% 6.75/1.53 % (1328640)------------------------------
% 6.75/1.53 % (1328640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328640)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328640)Termination reason: Instruction limit
% 6.75/1.53 % (1328640)Termination phase: Preprocessing 1
% 6.75/1.53 % (1328640)Time elapsed: 0.030 s
% 6.75/1.53 % (1328640)Peak memory usage: 11 MB
% 6.75/1.53 % (1328640)Instructions burned: 68 (million)
% 6.75/1.53 % (1328639)Instruction limit reached!
% 6.75/1.53 % (1328639)------------------------------
% 6.75/1.53 % (1328639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.53 % (1328639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.53 % (1328639)CaDiCaL version: 2.1.3
% 6.75/1.53 % (1328639)Termination reason: Instruction limit
% 6.75/1.53 % (1328639)Termination phase: SInE selection
% 6.75/1.53 % (1328639)Time elapsed: 0.040 s
% 6.75/1.53 % (1328639)Peak memory usage: 11 MB
% 6.75/1.53 % (1328639)Instructions burned: 92 (million)
% 6.75/1.53 % (1328607)...printing done.
% 6.75/1.53 % (1328607)Refutation found. Thanks to Tanya!
% 6.75/1.53 % SZS status Theorem for theBenchmark
% 6.75/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 6.75/1.54 % (1328607)------------------------------
% 6.75/1.54 % (1328607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.54 % (1328607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.54 % (1328607)CaDiCaL version: 2.1.3
% 6.75/1.54 % (1328607)Termination reason: Refutation
% 6.75/1.54 % (1328607)Time elapsed: 0.450 s
% 6.75/1.54 % (1328607)Peak memory usage: 17 MB
% 6.75/1.54 % (1328607)Instructions burned: 537 (million)
% 6.75/1.54 % (1328487)Success in time 1.229 s
% 6.75/1.54 % Vampire exiting
%------------------------------------------------------------------------------