%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU811^1 : 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 : n012.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 08:31:36 AM UTC 2026
% Result : Theorem 6.36s 1.26s
% Output : Refutation 6.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 118 ( 36 unt; 0 typ; 14 def)
% Number of atoms : 5583 (1485 equ; 0 cnn)
% Maximal formula atoms : 333 ( 47 avg)
% Number of connectives : 2938 ( 135 ~; 133 |;1008 &; 314 @)
% ( 21 <=>;1327 =>; 0 <=; 0 <~>)
% Maximal formula depth : 335 ( 23 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 624 ( 621 usr; 376 con; 0-6 aty)
% Number of variables : 108 ( 0 sgn 84 !; 18 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_164,type,
upairset2E: $o ).
thf(func_def_165,type,
upairsubunion: $o ).
thf(func_def_166,type,
upairinpowunion: $o ).
thf(func_def_167,type,
ubforcartprodlem1: $o ).
thf(func_def_168,type,
ubforcartprodlem2: $o ).
thf(func_def_169,type,
ubforcartprodlem3: $o ).
thf(func_def_170,type,
cartprodpairin: $o ).
thf(func_def_171,type,
cartprodmempair1: $o ).
thf(func_def_172,type,
cartprodmempair: $o ).
thf(func_def_173,type,
setunionE2: $o ).
thf(func_def_174,type,
setunionsingleton1: $o ).
thf(func_def_175,type,
setunionsingleton2: $o ).
thf(func_def_176,type,
setunionsingleton: $o ).
thf(func_def_177,type,
singleton: $i > $o ).
thf(func_def_178,type,
singletonprop: $o ).
thf(func_def_179,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_180,type,
ex1E1: $o ).
thf(func_def_181,type,
ex1I: $o ).
thf(func_def_182,type,
ex1I2: $o ).
thf(func_def_183,type,
singletonsuniq: $o ).
thf(func_def_184,type,
atmost1p: $i > $o ).
thf(func_def_185,type,
atleast2p: $i > $o ).
thf(func_def_186,type,
atmost2p: $i > $o ).
thf(func_def_187,type,
upairsetp: $i > $o ).
thf(func_def_188,type,
setukpairinjL1: $o ).
thf(func_def_189,type,
kfstsingleton: $o ).
thf(func_def_190,type,
theprop: $o ).
thf(func_def_191,type,
kfst: $i > $i ).
thf(func_def_192,type,
kfstpairEq: $o ).
thf(func_def_193,type,
cartprodfstin: $o ).
thf(func_def_194,type,
setukpairinjL2: $o ).
thf(func_def_195,type,
setukpairinjL: $o ).
thf(func_def_196,type,
setukpairinjR11: $o ).
thf(func_def_197,type,
setukpairinjR12: $o ).
thf(func_def_198,type,
setukpairinjR1: $o ).
thf(func_def_199,type,
upairequniteq: $o ).
thf(func_def_200,type,
setukpairinjR2: $o ).
thf(func_def_201,type,
setukpairinjR: $o ).
thf(func_def_202,type,
ksndsingleton: $o ).
thf(func_def_203,type,
ksnd: $i > $i ).
thf(func_def_204,type,
ksndpairEq: $o ).
thf(func_def_205,type,
kpairsurjEq: $o ).
thf(func_def_206,type,
cartprodsndin: $o ).
thf(func_def_207,type,
cartprodpairmemEL: $o ).
thf(func_def_208,type,
cartprodpairmemER: $o ).
thf(func_def_209,type,
cartprodmempaircEq: $o ).
thf(func_def_210,type,
cartprodfstpairEq: $o ).
thf(func_def_211,type,
cartprodsndpairEq: $o ).
thf(func_def_212,type,
cartprodpairsurjEq: $o ).
thf(func_def_213,type,
breln: $i > $i > $i > $o ).
thf(func_def_214,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_215,type,
dpsetconstrI: $o ).
thf(func_def_216,type,
dpsetconstrSub: $o ).
thf(func_def_217,type,
setOfPairsIsBReln: $o ).
thf(func_def_218,type,
dpsetconstrERa: $o ).
thf(func_def_219,type,
dpsetconstrEL1: $o ).
thf(func_def_220,type,
dpsetconstrEL2: $o ).
thf(func_def_221,type,
dpsetconstrER: $o ).
thf(func_def_222,type,
func: $i > $i > $i > $o ).
thf(func_def_223,type,
funcSet: $i > $i > $i ).
thf(func_def_224,type,
funcImageSingleton: $o ).
thf(func_def_225,type,
apProp: $o ).
thf(func_def_226,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_227,type,
app: $o ).
thf(func_def_228,type,
infuncsetfunc: $o ).
thf(func_def_229,type,
ap2p: $o ).
thf(func_def_230,type,
funcinfuncset: $o ).
thf(func_def_231,type,
lamProp: $o ).
thf(func_def_232,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(func_def_233,type,
lamp: $o ).
thf(func_def_234,type,
lam2p: $o ).
thf(func_def_235,type,
brelnall1: $o ).
thf(func_def_236,type,
brelnall2: $o ).
thf(func_def_237,type,
ex1E2: $o ).
thf(func_def_238,type,
funcGraphProp1: $o ).
thf(func_def_239,type,
funcGraphProp3: $o ).
thf(func_def_240,type,
funcGraphProp2: $o ).
thf(func_def_241,type,
funcextLem: $o ).
thf(func_def_242,type,
funcGraphProp4: $o ).
thf(func_def_243,type,
subbreln: $o ).
thf(func_def_244,type,
eqbreln: $o ).
thf(func_def_245,type,
funcext: $o ).
thf(func_def_246,type,
funcext2: $o ).
thf(func_def_247,type,
ap2apEq1: $o ).
thf(func_def_248,type,
ap2apEq2: $o ).
thf(func_def_249,type,
beta1: $o ).
thf(func_def_250,type,
eta1: $o ).
thf(func_def_251,type,
lam2lamEq: $o ).
thf(func_def_252,type,
beta2: $o ).
thf(func_def_253,type,
eta2: $o ).
thf(func_def_254,type,
iffalseProp1: $o ).
thf(func_def_255,type,
iffalseProp2: $o ).
thf(func_def_256,type,
iftrueProp1: $o ).
thf(func_def_257,type,
iftrueProp2: $o ).
thf(func_def_258,type,
ifSingleton: $o ).
thf(func_def_259,type,
if: $i > $o > $i > $i > $i ).
thf(func_def_260,type,
ifp: $o ).
thf(func_def_261,type,
theeq: $o ).
thf(func_def_262,type,
iftrue: $o ).
thf(func_def_263,type,
iffalse: $o ).
thf(func_def_264,type,
iftrueorfalse: $o ).
thf(func_def_265,type,
binintersectT_lem: $o ).
thf(func_def_266,type,
binunionT_lem: $o ).
thf(func_def_267,type,
powersetT_lem: $o ).
thf(func_def_268,type,
setminusT_lem: $o ).
thf(func_def_269,type,
complementT_lem: $o ).
thf(func_def_270,type,
setextT: $o ).
thf(func_def_271,type,
subsetTI: $o ).
thf(func_def_272,type,
powersetTI1: $o ).
thf(func_def_273,type,
powersetTE1: $o ).
thf(func_def_274,type,
complementTI1: $o ).
thf(func_def_275,type,
complementTE1: $o ).
thf(func_def_276,type,
binintersectTELcontra: $o ).
thf(func_def_277,type,
binintersectTERcontra: $o ).
thf(func_def_278,type,
contrasubsetT: $o ).
thf(func_def_279,type,
contrasubsetT1: $o ).
thf(func_def_280,type,
contrasubsetT2: $o ).
thf(func_def_281,type,
contrasubsetT3: $o ).
thf(func_def_282,type,
doubleComplementI1: $o ).
thf(func_def_283,type,
doubleComplementE1: $o ).
thf(func_def_284,type,
doubleComplementSub1: $o ).
thf(func_def_285,type,
doubleComplementSub2: $o ).
thf(func_def_286,type,
doubleComplementEq: $o ).
thf(func_def_287,type,
complementTnotintersectT: $o ).
thf(func_def_288,type,
complementImpComplementIntersect: $o ).
thf(func_def_289,type,
complementSubsetComplementIntersect: $o ).
thf(func_def_290,type,
complementInPowersetComplementIntersect: $o ).
thf(func_def_291,type,
contraSubsetComplement: $o ).
thf(func_def_292,type,
complementTcontraSubset: $o ).
thf(func_def_293,type,
binunionTILcontra: $o ).
thf(func_def_294,type,
binunionTIRcontra: $o ).
thf(func_def_295,type,
inIntersectImpInUnion: $o ).
thf(func_def_296,type,
inIntersectImpInUnion2: $o ).
thf(func_def_297,type,
inIntersectImpInIntersectUnions: $o ).
thf(func_def_298,type,
intersectInPowersetIntersectUnions: $o ).
thf(func_def_299,type,
inComplementUnionImpNotIn1: $o ).
thf(func_def_300,type,
inComplementUnionImpInComplement1: $o ).
thf(func_def_301,type,
binunionTE: $o ).
thf(func_def_302,type,
binunionTEcontra: $o ).
thf(func_def_303,type,
demorgan2a1: $o ).
thf(func_def_304,type,
complementUnionInPowersetComplement: $o ).
thf(func_def_305,type,
demorgan2a2: $o ).
thf(func_def_306,type,
demorgan1a: $o ).
thf(func_def_307,type,
demorgan1b: $o ).
thf(func_def_308,type,
demorgan1: $o ).
thf(func_def_309,type,
demorgan2a: $o ).
thf(func_def_310,type,
demorgan2b2: $o ).
thf(func_def_311,type,
demorgan2b: $o ).
thf(func_def_312,type,
demorgan2: $o ).
thf(func_def_313,type,
woz13rule0: $o ).
thf(func_def_314,type,
woz13rule1: $o ).
thf(func_def_315,type,
woz13rule2: $o ).
thf(func_def_316,type,
woz13rule3: $o ).
thf(func_def_317,type,
woz13rule4: $o ).
thf(func_def_318,type,
woz1_1: $o ).
thf(func_def_319,type,
woz1_2: $o ).
thf(func_def_320,type,
woz1_3: $o ).
thf(func_def_321,type,
woz1_4: $o ).
thf(func_def_322,type,
woz1_5: $o ).
thf(func_def_323,type,
breln1: $i > $i > $o ).
thf(func_def_324,type,
breln1all2: $o ).
thf(func_def_325,type,
breln1Set: $i > $i ).
thf(func_def_326,type,
breln1SetBreln1: $o ).
thf(func_def_327,type,
transitive: $i > $i > $o ).
thf(func_def_328,type,
antisymmetric: $i > $i > $o ).
thf(func_def_329,type,
reflexive: $i > $i > $o ).
thf(func_def_330,type,
refltransitive: $i > $i > $o ).
thf(func_def_331,type,
refllinearorder: $i > $i > $o ).
thf(func_def_332,type,
reflwellordering: $i > $i > $o ).
thf(func_def_333,type,
choice2fnsingleton: $o ).
thf(func_def_334,type,
setOfPairsIsBReln1: $o ).
thf(func_def_335,type,
breln1all1: $o ).
thf(func_def_336,type,
subbreln1: $o ).
thf(func_def_337,type,
eqbreln1: $o ).
thf(func_def_338,type,
breln1invset: $i > $i > $i ).
thf(func_def_339,type,
breln1invprop: $o ).
thf(func_def_340,type,
breln1invI: $o ).
thf(func_def_341,type,
breln1invE: $o ).
thf(func_def_342,type,
breln1compset: $i > $i > $i > $i ).
thf(func_def_343,type,
breln1compprop: $o ).
thf(func_def_344,type,
breln1compI: $o ).
thf(func_def_345,type,
breln1compE: $o ).
thf(func_def_346,type,
breln1compEex: $o ).
thf(func_def_347,type,
breln1unionprop: $o ).
thf(func_def_348,type,
breln1unionIL: $o ).
thf(func_def_349,type,
breln1unionIR: $o ).
thf(func_def_350,type,
breln1unionI: $o ).
thf(func_def_351,type,
breln1unionE: $o ).
thf(func_def_352,type,
breln1unionEcases: $o ).
thf(func_def_353,type,
breln1unionCommutes: $o ).
thf(func_def_354,type,
woz2Ex: $o ).
thf(func_def_355,type,
woz2W: $o ).
thf(func_def_356,type,
woz2A: $o ).
thf(func_def_357,type,
woz2B: $o ).
thf(func_def_358,type,
image1Ex: $o ).
thf(func_def_359,type,
image1Ex1: $o ).
thf(func_def_360,type,
image1: $i > ( $i > $i ) > $i ).
thf(func_def_361,type,
image1Equiv: $o ).
thf(func_def_362,type,
image1E: $o ).
thf(func_def_363,type,
image1I: $o ).
thf(func_def_364,type,
injective: $i > $i > $i > $o ).
thf(func_def_365,type,
injFuncSet: $i > $i > $i ).
thf(func_def_366,type,
injFuncInInjFuncSet: $o ).
thf(func_def_367,type,
injFuncSetFuncIn: $o ).
thf(func_def_368,type,
injFuncSetFuncInj: $o ).
thf(func_def_369,type,
surjective: $i > $i > $i > $o ).
thf(func_def_370,type,
surjFuncSet: $i > $i > $i ).
thf(func_def_371,type,
surjFuncSetFuncIn: $o ).
thf(func_def_372,type,
surjFuncSetFuncSurj: $o ).
thf(func_def_373,type,
leftInvIsSurj: $o ).
thf(func_def_374,type,
surjCantorThm: $o ).
thf(func_def_375,type,
foundation2: $o ).
thf(func_def_376,type,
notinself: $o ).
thf(func_def_377,type,
notinself2: $o ).
thf(func_def_378,type,
omegaS: $i > $i ).
thf(func_def_379,type,
omegaSp: $o ).
thf(func_def_380,type,
omegaSclos: $o ).
thf(func_def_381,type,
peano0notS: $o ).
thf(func_def_382,type,
peano3: $i > $i > $i > $o ).
thf(func_def_383,type,
peano4: $i > $i > $i > $o ).
thf(func_def_384,type,
peano5: $i > $i > $i > $o ).
thf(func_def_385,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_386,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_389,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_390,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_391,type,
vNOT: $o > $o ).
thf(func_def_392,type,
vOR: $o > $o > $o ).
thf(func_def_393,type,
vAND: $o > $o > $o ).
thf(func_def_394,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_395,type,
vIMP: $o > $o > $o ).
thf(func_def_396,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_397,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_398,type,
vIFF: $o > $o > $o ).
thf(func_def_399,type,
sP0: $i > $i > $o ).
thf(func_def_400,type,
sP1: $i > $o ).
thf(func_def_401,type,
sP2: $o ).
thf(func_def_402,type,
sP3: $o ).
thf(func_def_403,type,
sP4: $o ).
thf(func_def_415,type,
sK16: $i > $i > $i ).
thf(func_def_425,type,
sK26: $i > $o ).
thf(func_def_427,type,
sK28: ( $i > $o ) > $i > $i ).
thf(func_def_428,type,
sK29: $i > $o ).
thf(func_def_436,type,
sK37: $i > $i > $i ).
thf(func_def_442,type,
sK43: $i > $o ).
thf(func_def_443,type,
sK44: ( $i > $o ) > $i > $i ).
thf(func_def_462,type,
sK63: $i > $i ).
thf(func_def_471,type,
sK72: $i > $o ).
thf(func_def_484,type,
sK85: $i > $i > $o ).
thf(func_def_503,type,
sK104: $i > $o ).
thf(func_def_505,type,
sK106: $i > ( $i > $o ) > $i ).
thf(func_def_506,type,
sK107: ( $i > $i ) > $i > $i ).
thf(func_def_507,type,
sK108: $i > ( $i > $i ) > $i > $i ).
thf(func_def_509,type,
sK110: $i > $i ).
thf(func_def_510,type,
sK111: $i > $i ).
thf(func_def_511,type,
sK112: $i > $i ).
thf(func_def_513,type,
sK114: $i > $i ).
thf(func_def_520,type,
sK121: $o ).
thf(func_def_523,type,
sK124: $i > $i > $i > $i ).
thf(func_def_524,type,
sK125: $i > $i > $i > $i ).
thf(func_def_529,type,
sK130: $i > $o ).
thf(func_def_534,type,
sK135: $i > $i > $i > $i > $i ).
thf(func_def_545,type,
sK146: $i > $o ).
thf(func_def_549,type,
sK150: $o ).
thf(func_def_570,type,
sK171: $i > $i > $o ).
thf(func_def_574,type,
sK175: $i > $i ).
thf(func_def_575,type,
sK176: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_584,type,
sK185: $i > $o ).
thf(func_def_586,type,
sK187: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_587,type,
sK188: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_592,type,
sK193: $i > $i > $i > $i > $i ).
thf(func_def_593,type,
sK194: $i > ( $i > $i ) > $i > $i ).
thf(func_def_595,type,
sK196: $i > $i ).
thf(func_def_627,type,
sK228: $i > $o ).
thf(func_def_630,type,
sK231: $i > $i > $o ).
thf(func_def_637,type,
sK238: $i > $i > $i ).
thf(func_def_663,type,
sK264: ( $i > $o ) > $i ).
thf(func_def_664,type,
sK265: $i > $o ).
thf(func_def_665,type,
sK266: $i > $i ).
thf(func_def_666,type,
sK267: $i > ( $i > $o ) > $i ).
thf(func_def_667,type,
sK268: $i > ( $i > $o ) > $i ).
thf(func_def_668,type,
sK269: $i > $o ).
thf(func_def_675,type,
sK276: $o ).
thf(func_def_677,type,
sK278: $i > $i ).
thf(func_def_679,type,
sK280: ( $i > $o ) > $i > $i > $i ).
thf(func_def_682,type,
sK283: $i > $o ).
thf(func_def_692,type,
sK293: ( $i > $i > $o ) > $i > $i ).
thf(func_def_693,type,
sK294: ( $i > $i > $o ) > $i > $i ).
thf(func_def_694,type,
sK295: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_696,type,
sK297: $i > $i > $o ).
thf(func_def_697,type,
sK298: $i > $i ).
thf(func_def_698,type,
sK299: $i > $i ).
thf(func_def_706,type,
sK307: $i > $i > $i > $i ).
thf(func_def_707,type,
sK308: $i > $i > $i > $i ).
thf(func_def_729,type,
sK330: $o ).
thf(func_def_734,type,
sK335: $o ).
thf(func_def_737,type,
sK338: $i > $i > ( $i > $i ) > $i ).
thf(func_def_738,type,
sK339: $i > $i > $i > ( $i > $i ) > $i ).
thf(func_def_739,type,
sK340: $i > $i ).
thf(func_def_746,type,
sK347: $i > $i ).
thf(func_def_772,type,
sK373: ( $i > $o ) > $i ).
thf(func_def_773,type,
sK374: $i > $o ).
thf(func_def_774,type,
sK375: $i > $i ).
thf(func_def_777,type,
sK378: $i > $i > $i ).
thf(func_def_778,type,
sK379: $i > $i > $i ).
thf(func_def_799,type,
sK400: $i > $i ).
thf(func_def_800,type,
sK401: $i > $i ).
thf(func_def_801,type,
sK402: $i > $i ).
thf(func_def_802,type,
sK403: $i > $i ).
thf(func_def_803,type,
sK404: $i > $i ).
thf(func_def_804,type,
sK405: $i > $i > $i > $i ).
thf(func_def_805,type,
sK406: $i > $i ).
thf(func_def_806,type,
sK407: $i > $i ).
thf(func_def_807,type,
sK408: $i > $i ).
thf(func_def_808,type,
sK409: $i > $i ).
thf(func_def_809,type,
sK410: $i > $i > $i ).
thf(func_def_810,type,
sK411: $i > $i > $i ).
thf(func_def_811,type,
sK412: $i > $i > $i > $i ).
thf(func_def_812,type,
sK413: $i > $i > $i > $i ).
thf(func_def_813,type,
sK414: $i > $i > $i > $i ).
thf(func_def_814,type,
sK415: $i > $i > $i ).
thf(func_def_815,type,
sK416: $i > $i > $i ).
thf(func_def_816,type,
sK417: $i > $i > $i ).
thf(func_def_821,type,
sK422: $i > $o ).
thf(func_def_823,type,
sK424: $i > $i ).
thf(func_def_830,type,
sK431: $i > $i > $i > $i > $i > $i ).
thf(func_def_839,type,
sK440: $i > $i ).
thf(func_def_851,type,
sK452: $o ).
thf(func_def_854,type,
sK455: $i > $i ).
thf(func_def_855,type,
sK456: ( $i > $i ) > $i > $i > $i ).
thf(func_def_857,type,
sK458: $i > $i > $o ).
thf(func_def_884,type,
sK485: $i > $o ).
thf(func_def_890,type,
sK491: $i > $o ).
thf(func_def_891,type,
sK492: $o ).
thf(func_def_905,type,
sK506: $i > $i > $i > $i > $i ).
thf(func_def_918,type,
sK519: $o ).
thf(func_def_924,type,
sK525: $i > $i > $i > $i > $i ).
thf(func_def_925,type,
sK526: $i > $i > $i > $i > $i ).
thf(func_def_926,type,
sK527: $i > $i > $i > $i > $i ).
thf(func_def_927,type,
sK528: $i > $i > $i > $i > $i ).
thf(func_def_931,type,
sK532: $i > $i > $i ).
thf(func_def_936,type,
sK537: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_937,type,
sK538: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_940,type,
sK541: $i > $o ).
thf(func_def_941,type,
sK542: $i > $o ).
thf(func_def_952,type,
sK553: $i > $i > $o ).
thf(func_def_970,type,
sK571: $i > $o ).
thf(func_def_971,type,
sK572: $i > $o ).
thf(func_def_972,type,
sK573: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_973,type,
sK574: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_978,type,
sK579: $i > $o ).
thf(func_def_979,type,
sK580: ( $i > $o ) > $i ).
thf(func_def_986,type,
sK587: ( $i > $o ) > $i > $i > $i ).
thf(func_def_987,type,
sK588: ( $i > $o ) > $i > $i > $i ).
thf(func_def_990,type,
sK591: $i > $o ).
thf(func_def_992,type,
sK593: $i > $o ).
thf(func_def_994,type,
sK595: ( $i > $o ) > $i ).
thf(func_def_995,type,
sK596: ( $i > $o ) > $i ).
thf(func_def_1011,type,
sK612: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1014,type,
sK615: $i > $i ).
thf(func_def_1016,type,
sK617: $i > $o ).
thf(func_def_1017,type,
sK618: $i > $o ).
thf(func_def_1018,type,
sK619: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1019,type,
sK620: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1038,type,
sK639: $i > ( $i > $i ) > $i > $i ).
thf(func_def_1040,type,
sK641: $i > $i ).
thf(func_def_1043,type,
sK644: $o ).
thf(func_def_1050,type,
sK651: ( $i > $o ) > $i > $i ).
thf(func_def_1052,type,
sK653: $i > $o ).
thf(func_def_1068,type,
sK669: $o ).
thf(func_def_1069,type,
sK670: $o > $i > $i > $i > $i > $i > $i ).
thf(func_def_1070,type,
sK671: $i > $i ).
thf(func_def_1085,type,
sK686: $o ).
thf(func_def_1096,type,
sK697: $i > $o ).
thf(func_def_1099,type,
sK700: $i > ( $i > $o ) > $i ).
thf(func_def_1105,type,
sK706: $i > $o ).
thf(func_def_1107,type,
sK708: $i > ( $i > $o ) > $i ).
thf(func_def_1113,type,
sK714: $i > $i > $i ).
thf(func_def_1126,type,
sK727: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1127,type,
sK728: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1131,type,
sK732: $i > $o ).
thf(func_def_1140,type,
sK741: $i > $o ).
thf(func_def_1150,type,
sK751: $i > $i > $i > $i ).
thf(func_def_1151,type,
sK752: $i > $i > $i > $i ).
thf(func_def_1152,type,
sK753: $i > $i > $i > $i ).
thf(func_def_1153,type,
sK754: $i > $i > $i > $i ).
thf(func_def_1155,type,
sK756: $i > $o ).
thf(func_def_1159,type,
sK760: $o ).
thf(func_def_1161,type,
sK762: $i > $o ).
thf(func_def_1181,type,
sK782: $i > $i > $o ).
thf(func_def_1183,type,
sK784: $i > ( $i > $o ) > $i ).
thf(func_def_1184,type,
sK785: $i > ( $i > $o ) > $i ).
thf(func_def_1185,type,
sK786: $i > $o ).
thf(func_def_1209,type,
sK810: $i > $i ).
thf(func_def_1210,type,
sK811: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1228,type,
sK829: $i > $i > $i > $i > $i ).
thf(func_def_1229,type,
sK830: $i > $i > $i > $i > $i ).
thf(func_def_1241,type,
sK842: $o ).
thf(func_def_1242,type,
sK843: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1243,type,
sK844: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1246,type,
sK847: $i > $o ).
thf(func_def_1251,type,
sK852: $i > $i > $i > $i ).
thf(func_def_1252,type,
sK853: $i > $i > $i > $i ).
thf(func_def_1263,type,
sK864: $i > $i > $i > $i ).
thf(func_def_1281,type,
sK882: $o ).
thf(func_def_1284,type,
sK885: $i > $o ).
thf(func_def_1287,type,
sK888: $i > ( $i > $o ) > $i ).
thf(func_def_1291,type,
sK892: $o > $i > $i > $i ).
thf(func_def_1294,type,
sK895: $o ).
thf(func_def_1297,type,
sK898: $i > $i ).
thf(func_def_1298,type,
sK899: $i > $i ).
thf(func_def_1299,type,
sK900: $i > $i > $o ).
thf(func_def_1307,type,
sK908: $i > $i ).
thf(func_def_1309,type,
sK910: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1312,type,
sK913: $o ).
thf(func_def_1324,type,
sK925: $i > $i > $i ).
thf(func_def_1325,type,
sK926: $i > ( $i > $i ) > $i > $i ).
thf(func_def_1327,type,
sK928: $i > $i ).
thf(func_def_1340,type,
sK941: $i > $i > $i ).
thf(func_def_1347,type,
sK948: $i > $o ).
thf(func_def_1355,type,
sK956: $i > $o ).
thf(func_def_1361,type,
sK962: $i > ( $i > $o ) > $i ).
thf(func_def_1362,type,
sK963: $i > $o ).
thf(func_def_1372,type,
sK973: $i > $i ).
thf(func_def_1374,type,
sK975: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1375,type,
sK976: $i > $i ).
thf(func_def_1386,type,
sK987: $i > $i > $o ).
thf(func_def_1401,type,
sK1002: $i > $i > $i ).
thf(func_def_1423,type,
sK1024: ( $i > $o ) > $i > $i ).
thf(func_def_1425,type,
sK1026: $i > $o ).
thf(func_def_1435,type,
sK1036: $o ).
thf(func_def_1442,type,
sK1043: $o ).
thf(func_def_1451,type,
sK1052: $i > $i > $o ).
thf(func_def_1456,type,
sK1057: $i > $i > $i > $i ).
thf(func_def_1473,type,
sK1074: $o ).
thf(func_def_1476,type,
sK1077: $o ).
thf(f31,axiom,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( setadjoin @ X0 @ X1 ) )
= setadjoinIL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIL) ).
thf(f35,axiom,
! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X2 @ ( setadjoin @ X0 @ X1 ) )
=> ( ( in @ X2 @ X1 )
| ( X2 = X0 ) ) )
= setadjoinOr ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinOr) ).
thf(f326,axiom,
! [X1: $i,X0: $i] :
( ( ( in @ X0 @ X1 )
=> ~ ( in @ X1 @ X0 ) )
= notinself2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinself2) ).
thf(f327,axiom,
( ( ^ [X0: $i] : ( setadjoin @ X0 @ X0 ) )
= omegaS ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaS) ).
thf(f331,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ( omegaSp
=> ( omegaSclos
=> ( peano0notS
=> ! [X0: $i] :
( ( in @ X0 @ omega )
=> ! [X1: $i] :
( ( in @ X1 @ omega )
=> ( ( ( omegaS @ X0 )
= ( omegaS @ X1 ) )
=> ( X0 = X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',peanoSinj) ).
thf(f332,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ( omegaSp
=> ( omegaSclos
=> ( peano0notS
=> ! [X0: $i] :
( ( in @ X0 @ omega )
=> ! [X1: $i] :
( ( in @ X1 @ omega )
=> ( ( ( omegaS @ X0 )
= ( omegaS @ X1 ) )
=> ( X0 = X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f331]) ).
thf(f333,plain,
( omegaS
= ( ^ [Y0: $i] : ( setadjoin @ Y0 @ Y0 ) ) ),
inference(fool_elimination,[],[f327]) ).
thf(f422,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X1 @ X0 )
=> ~ ( in @ X0 @ X1 ) )
= notinself2 ),
inference(rectify,[],[f326]) ).
thf(f423,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ X0 )
= $true )
=> ( ( in @ X0 @ X1 )
!= $true ) )
<=> ( notinself2 = $true ) ),
inference(fool_elimination,[],[f422]) ).
thf(f440,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ( omegaSp
=> ( omegaSclos
=> ( peano0notS
=> ! [X0: $i] :
( ( in @ X0 @ omega )
=> ! [X1: $i] :
( ( in @ X1 @ omega )
=> ( ( ( omegaS @ X0 )
= ( omegaS @ X1 ) )
=> ( X0 = X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f332]) ).
thf(f441,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ( ( setminusT_lem = $true )
=> ( ( complementT_lem = $true )
=> ( ( setextT = $true )
=> ( ( subsetTI = $true )
=> ( ( powersetTI1 = $true )
=> ( ( powersetTE1 = $true )
=> ( ( complementTI1 = $true )
=> ( ( complementTE1 = $true )
=> ( ( binintersectTELcontra = $true )
=> ( ( binintersectTERcontra = $true )
=> ( ( contrasubsetT = $true )
=> ( ( contrasubsetT1 = $true )
=> ( ( contrasubsetT2 = $true )
=> ( ( contrasubsetT3 = $true )
=> ( ( doubleComplementI1 = $true )
=> ( ( doubleComplementE1 = $true )
=> ( ( doubleComplementSub1 = $true )
=> ( ( doubleComplementSub2 = $true )
=> ( ( doubleComplementEq = $true )
=> ( ( complementTnotintersectT = $true )
=> ( ( complementImpComplementIntersect = $true )
=> ( ( complementSubsetComplementIntersect = $true )
=> ( ( complementInPowersetComplementIntersect = $true )
=> ( ( contraSubsetComplement = $true )
=> ( ( complementTcontraSubset = $true )
=> ( ( binunionTILcontra = $true )
=> ( ( binunionTIRcontra = $true )
=> ( ( inIntersectImpInUnion = $true )
=> ( ( inIntersectImpInUnion2 = $true )
=> ( ( inIntersectImpInIntersectUnions = $true )
=> ( ( intersectInPowersetIntersectUnions = $true )
=> ( ( inComplementUnionImpNotIn1 = $true )
=> ( ( inComplementUnionImpInComplement1 = $true )
=> ( ( binunionTE = $true )
=> ( ( binunionTEcontra = $true )
=> ( ( demorgan2a1 = $true )
=> ( ( complementUnionInPowersetComplement = $true )
=> ( ( demorgan2a2 = $true )
=> ( ( demorgan1a = $true )
=> ( ( demorgan1b = $true )
=> ( ( demorgan1 = $true )
=> ( ( demorgan2a = $true )
=> ( ( demorgan2b2 = $true )
=> ( ( demorgan2b = $true )
=> ( ( demorgan2 = $true )
=> ( ( woz13rule0 = $true )
=> ( ( woz13rule1 = $true )
=> ( ( woz13rule2 = $true )
=> ( ( woz13rule3 = $true )
=> ( ( woz13rule4 = $true )
=> ( ( woz1_1 = $true )
=> ( ( woz1_2 = $true )
=> ( ( woz1_3 = $true )
=> ( ( woz1_4 = $true )
=> ( ( woz1_5 = $true )
=> ( ( breln1all2 = $true )
=> ( ( breln1SetBreln1 = $true )
=> ( ( choice2fnsingleton = $true )
=> ( ( setOfPairsIsBReln1 = $true )
=> ( ( breln1all1 = $true )
=> ( ( subbreln1 = $true )
=> ( ( eqbreln1 = $true )
=> ( ( breln1invprop = $true )
=> ( ( breln1invI = $true )
=> ( ( breln1invE = $true )
=> ( ( breln1compprop = $true )
=> ( ( breln1compI = $true )
=> ( ( breln1compE = $true )
=> ( ( breln1compEex = $true )
=> ( ( breln1unionprop = $true )
=> ( ( breln1unionIL = $true )
=> ( ( breln1unionIR = $true )
=> ( ( breln1unionI = $true )
=> ( ( breln1unionE = $true )
=> ( ( breln1unionEcases = $true )
=> ( ( breln1unionCommutes = $true )
=> ( ( woz2Ex = $true )
=> ( ( woz2W = $true )
=> ( ( woz2A = $true )
=> ( ( woz2B = $true )
=> ( ( image1Ex = $true )
=> ( ( image1Ex1 = $true )
=> ( ( image1Equiv = $true )
=> ( ( image1E = $true )
=> ( ( image1I = $true )
=> ( ( injFuncInInjFuncSet = $true )
=> ( ( injFuncSetFuncIn = $true )
=> ( ( injFuncSetFuncInj = $true )
=> ( ( surjFuncSetFuncIn = $true )
=> ( ( surjFuncSetFuncSurj = $true )
=> ( ( leftInvIsSurj = $true )
=> ( ( surjCantorThm = $true )
=> ( ( foundation2 = $true )
=> ( ( notinself = $true )
=> ( ( notinself2 = $true )
=> ( ( omegaSp = $true )
=> ( ( omegaSclos = $true )
=> ( ( peano0notS = $true )
=> ! [X0: $i] :
( ( ( in @ X0 @ omega )
= $true )
=> ! [X1: $i] :
( ( ( in @ X1 @ omega )
= $true )
=> ( ( ( omegaS @ X0 )
= ( omegaS @ X1 ) )
=> ( X0 = X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f440]) ).
thf(f807,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( setadjoin @ X0 @ X1 ) )
= setadjoinIL ),
inference(rectify,[],[f31]) ).
thf(f808,plain,
( ( setadjoinIL = $true )
<=> ! [X1: $i,X0: $i] :
( ( in @ X0 @ ( setadjoin @ X0 @ X1 ) )
= $true ) ),
inference(fool_elimination,[],[f807]) ).
thf(f947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( setadjoin @ X1 @ X0 ) )
=> ( ( in @ X2 @ X0 )
| ( X1 = X2 ) ) )
= setadjoinOr ),
inference(rectify,[],[f35]) ).
thf(f948,plain,
( ! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X2 @ ( setadjoin @ X1 @ X0 ) )
= $true )
=> ( ( ( in @ X2 @ X0 )
= $true )
| ( X1 = X2 ) ) )
<=> ( setadjoinOr = $true ) ),
inference(fool_elimination,[],[f947]) ).
thf(f988,plain,
( ( notinself2 = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ X0 )
= $true )
=> ( ( in @ X0 @ X1 )
!= $true ) ) ),
inference(flattening,[],[f423]) ).
thf(f1046,plain,
( ( notinself2 = $true )
<=> ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ X0 )
!= $true )
| ( ( in @ X0 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f988]) ).
thf(f1073,plain,
( ? [X0: $i] :
( ? [X1: $i] :
( ( X0 != X1 )
& ( ( omegaS @ X0 )
= ( omegaS @ X1 ) )
& ( ( in @ X1 @ omega )
= $true ) )
& ( ( in @ X0 @ omega )
= $true ) )
& ( peano0notS = $true )
& ( omegaSclos = $true )
& ( omegaSp = $true )
& ( notinself2 = $true )
& ( notinself = $true )
& ( foundation2 = $true )
& ( surjCantorThm = $true )
& ( leftInvIsSurj = $true )
& ( surjFuncSetFuncSurj = $true )
& ( surjFuncSetFuncIn = $true )
& ( injFuncSetFuncInj = $true )
& ( injFuncSetFuncIn = $true )
& ( injFuncInInjFuncSet = $true )
& ( image1I = $true )
& ( image1E = $true )
& ( image1Equiv = $true )
& ( image1Ex1 = $true )
& ( image1Ex = $true )
& ( woz2B = $true )
& ( woz2A = $true )
& ( woz2W = $true )
& ( woz2Ex = $true )
& ( breln1unionCommutes = $true )
& ( breln1unionEcases = $true )
& ( breln1unionE = $true )
& ( breln1unionI = $true )
& ( breln1unionIR = $true )
& ( breln1unionIL = $true )
& ( breln1unionprop = $true )
& ( breln1compEex = $true )
& ( breln1compE = $true )
& ( breln1compI = $true )
& ( breln1compprop = $true )
& ( breln1invE = $true )
& ( breln1invI = $true )
& ( breln1invprop = $true )
& ( eqbreln1 = $true )
& ( subbreln1 = $true )
& ( breln1all1 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( choice2fnsingleton = $true )
& ( breln1SetBreln1 = $true )
& ( breln1all2 = $true )
& ( woz1_5 = $true )
& ( woz1_4 = $true )
& ( woz1_3 = $true )
& ( woz1_2 = $true )
& ( woz1_1 = $true )
& ( woz13rule4 = $true )
& ( woz13rule3 = $true )
& ( woz13rule2 = $true )
& ( woz13rule1 = $true )
& ( woz13rule0 = $true )
& ( demorgan2 = $true )
& ( demorgan2b = $true )
& ( demorgan2b2 = $true )
& ( demorgan2a = $true )
& ( demorgan1 = $true )
& ( demorgan1b = $true )
& ( demorgan1a = $true )
& ( demorgan2a2 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( demorgan2a1 = $true )
& ( binunionTEcontra = $true )
& ( binunionTE = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( inIntersectImpInUnion2 = $true )
& ( inIntersectImpInUnion = $true )
& ( binunionTIRcontra = $true )
& ( binunionTILcontra = $true )
& ( complementTcontraSubset = $true )
& ( contraSubsetComplement = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementSubsetComplementIntersect = $true )
& ( complementImpComplementIntersect = $true )
& ( complementTnotintersectT = $true )
& ( doubleComplementEq = $true )
& ( doubleComplementSub2 = $true )
& ( doubleComplementSub1 = $true )
& ( doubleComplementE1 = $true )
& ( doubleComplementI1 = $true )
& ( contrasubsetT3 = $true )
& ( contrasubsetT2 = $true )
& ( contrasubsetT1 = $true )
& ( contrasubsetT = $true )
& ( binintersectTERcontra = $true )
& ( binintersectTELcontra = $true )
& ( complementTE1 = $true )
& ( complementTI1 = $true )
& ( powersetTE1 = $true )
& ( powersetTI1 = $true )
& ( subsetTI = $true )
& ( setextT = $true )
& ( complementT_lem = $true )
& ( setminusT_lem = $true )
& ( powersetT_lem = $true )
& ( binunionT_lem = $true )
& ( binintersectT_lem = $true )
& ( iftrueorfalse = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( theeq = $true )
& ( ifp = $true )
& ( ifSingleton = $true )
& ( iftrueProp2 = $true )
& ( iftrueProp1 = $true )
& ( iffalseProp2 = $true )
& ( iffalseProp1 = $true )
& ( eta2 = $true )
& ( beta2 = $true )
& ( lam2lamEq = $true )
& ( eta1 = $true )
& ( beta1 = $true )
& ( ap2apEq2 = $true )
& ( ap2apEq1 = $true )
& ( funcext2 = $true )
& ( funcext = $true )
& ( eqbreln = $true )
& ( subbreln = $true )
& ( funcGraphProp4 = $true )
& ( funcextLem = $true )
& ( funcGraphProp2 = $true )
& ( funcGraphProp3 = $true )
& ( funcGraphProp1 = $true )
& ( ex1E2 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( lam2p = $true )
& ( lamp = $true )
& ( lamProp = $true )
& ( funcinfuncset = $true )
& ( ap2p = $true )
& ( infuncsetfunc = $true )
& ( app = $true )
& ( apProp = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrER = $true )
& ( dpsetconstrEL2 = $true )
& ( dpsetconstrEL1 = $true )
& ( dpsetconstrERa = $true )
& ( setOfPairsIsBReln = $true )
& ( dpsetconstrSub = $true )
& ( dpsetconstrI = $true )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f441]) ).
thf(f1074,plain,
( ( exuI3 = $true )
& ( app = $true )
& ( ubforcartprodlem3 = $true )
& ( setminusSubset2 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( setextT = $true )
& ( cartprodpairsurjEq = $true )
& ( setadjoinE = $true )
& ( demorgan2b2 = $true )
& ( breln1unionI = $true )
& ( setunionI = $true )
& ( foundationAx = $true )
& ( image1Equiv = $true )
& ( iffalseProp1 = $true )
& ( demorgan1b = $true )
& ( exuE3e = $true )
& ( contrasubsetT = $true )
& ( subbreln1 = $true )
& ( omegaSAx = $true )
& ( omega__Cong = $true )
& ( surjFuncSetFuncIn = $true )
& ( breln1compE = $true )
& ( brelnall1 = $true )
& ( notdexE = $true )
& ( funcImageSingleton = $true )
& ( binintersectT_lem = $true )
& ( eqimpsubset1 = $true )
& ( binintersectI = $true )
& ( binintersectTERcontra = $true )
& ( ex1E1 = $true )
& ( cartprodpairmemER = $true )
& ( breln1invprop = $true )
& ( upairsetIR = $true )
& ( binunionIR = $true )
& ( setukpairinjR = $true )
& ( foundation2 = $true )
& ( setminusELneg = $true )
& ( complementSubsetComplementIntersect = $true )
& ( upairsetE = $true )
& ( upairset2E = $true )
& ( uniqinunit = $true )
& ( subset2powerset = $true )
& ( peano0notS = $true )
& ( eqimpsubset2 = $true )
& ( symdiffI1 = $true )
& ( kfstsingleton = $true )
& ( binintersectSubset5 = $true )
& ( setminusERneg = $true )
& ( exuE1 = $true )
& ( prop2setI = $true )
& ( woz13rule3 = $true )
& ( powersetI1 = $true )
& ( binintersectEL = $true )
& ( nonemptyImpWitness = $true )
& ( iftrue = $true )
& ( upairset2IR = $true )
& ( breln1SetBreln1 = $true )
& ( funcextLem = $true )
& ( demorgan2 = $true )
& ( vacuousDall = $true )
& ( binunionT_lem = $true )
& ( doubleComplementEq = $true )
& ( binintersectLsub = $true )
& ( woz13rule2 = $true )
& ( subsetTI = $true )
& ( bs114d = $true )
& ( upairinpowunion = $true )
& ( setukpairinjR12 = $true )
& ( powersetE1 = $true )
& ( setbeta = $true )
& ( setadjoin__Cong = $true )
& ( dsetconstrI = $true )
& ( notequalI1 = $true )
& ( breln1unionIR = $true )
& ( surjCantorThm = $true )
& ( inCongP = $true )
& ( binintersectSubset2 = $true )
& ( iffalseProp2 = $true )
& ( disjointsetsI1 = $true )
& ( woz1_4 = $true )
& ( powersetsubset = $true )
& ( emptyI = $true )
& ( setadjoinIR = $true )
& ( sepInPowerset = $true )
& ( setukpairinjL1 = $true )
& ( cartprodsndpairEq = $true )
& ( binintersectSubset4 = $true )
& ( complementTE1 = $true )
& ( ex1E2 = $true )
& ( infuncsetfunc = $true )
& ( emptyinunitempty = $true )
& ( singletoninpowerset = $true )
& ( lam2p = $true )
& ( funcGraphProp1 = $true )
& ( woz1_1 = $true )
& ( eqbreln = $true )
& ( doubleComplementI1 = $true )
& ( dpsetconstrER = $true )
& ( descr__Cong = $true )
& ( exuE3u = $true )
& ( contrasubsetT1 = $true )
& ( setunion__Cong = $true )
& ( image1I = $true )
& ( omegaSclos = $true )
& ( notequalI2 = $true )
& ( demorgan1a = $true )
& ( binunionTILcontra = $true )
& ( kpairp = $true )
& ( setadjoinSub2 = $true )
& ( surjFuncSetFuncSurj = $true )
& ( binunionTE = $true )
& ( inPowerset = $true )
& ( omega0Ax = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementImpComplementIntersect = $true )
& ( setminusEL = $true )
& ( exu__Cong = $true )
& ( cartprodpairin = $true )
& ( secondinupair = $true )
& ( prop2set2propI = $true )
& ( complementTcontraSubset = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectSubset3 = $true )
& ( theprop = $true )
& ( powerset__Cong = $true )
& ( ksndsingleton = $true )
& ( subsetRefl = $true )
& ( singletonsswitch = $true )
& ( woz2B = $true )
& ( breln1unionEcases = $true )
& ( woz13rule4 = $true )
& ( emptyE1 = $true )
& ( cartprodmempaircEq = $true )
& ( woz2Ex = $true )
& ( breln1all2 = $true )
& ( dsetconstr__Cong = $true )
& ( nonemptyE1 = $true )
& ( setunionsingleton2 = $true )
& ( singletonsuniq = $true )
& ( setOfPairsIsBReln1 = $true )
& ( eqbreln1 = $true )
& ( in__Cong = $true )
& ( choice2fnsingleton = $true )
& ( iftrueProp2 = $true )
& ( notinself2 = $true )
& ( wellorderingAx = $true )
& ( injFuncInInjFuncSet = $true )
& ( complementUnionInPowersetComplement = $true )
& ( exuI2 = $true )
& ( notinemptyset = $true )
& ( breln1invE = $true )
& ( image1Ex1 = $true )
& ( brelnall2 = $true )
& ( symdiffI2 = $true )
& ( notinself = $true )
& ( binintersectSubset1 = $true )
& ( woz13rule1 = $true )
& ( ex1I2 = $true )
& ( setOfPairsIsBReln = $true )
& ( funcGraphProp3 = $true )
& ( symdiffE = $true )
& ( powersetE = $true )
& ( contrasubsetT3 = $true )
& ( setminusLsub = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan1 = $true )
& ( singletonprop = $true )
& ( singletonsubset = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( beta1 = $true )
& ( subsetI1 = $true )
& ( complementTI1 = $true )
& ( powersetI = $true )
& ( setukpairIL = $true )
& ( quantDeMorgan4 = $true )
& ( kpairiskpair = $true )
& ( setunionsingleton = $true )
& ( ifp = $true )
& ( lamp = $true )
& ( notinsingleton = $true )
& ( demorgan2a1 = $true )
& ( demorgan2a2 = $true )
& ( woz1_3 = $true )
& ( demorgan2b = $true )
& ( noeltsimpempty = $true )
& ( upairsetIL = $true )
& ( emptyset__Cong = $true )
& ( woz1_2 = $true )
& ( beta2 = $true )
& ( breln1invI = $true )
& ( exuE2 = $true )
& ( setukpairinjL = $true )
& ( setextsub = $true )
& ( setunionsingleton1 = $true )
& ( breln1compEex = $true )
& ( demorgan1 = $true )
& ( dpsetconstrSub = $true )
& ( symdiffIneg1 = $true )
& ( setukpairinjR1 = $true )
& ( sepSubset = $true )
& ( omegaSp = $true )
& ( emptysetimpfalse = $true )
& ( notsubsetI = $true )
& ( binintersectTELcontra = $true )
& ( setminusI = $true )
& ( dsetconstrER = $true )
& ( image1E = $true )
& ( iftrueorfalse = $true )
& ( binintersectRsub = $true )
& ( ubforcartprodlem2 = $true )
& ( ap2apEq2 = $true )
& ( cartprodmempair1 = $true )
& ( setadjoinSub = $true )
& ( eqinunit = $true )
& ( woz13rule0 = $true )
& ( setminusILneg = $true )
& ( setadjoinAx = $true )
& ( dpsetconstrERa = $true )
& ( setextAx = $true )
& ( breln1compI = $true )
& ( binunionLsub = $true )
& ( dpsetconstrI = $true )
& ( iffalse = $true )
& ( cartprodmempair = $true )
& ( emptysetsubset = $true )
& ( binunionTEcontra = $true )
& ( upairsubunion = $true )
& ( dsetconstrEL = $true )
& ( theeq = $true )
& ( apProp = $true )
& ( dpsetconstrEL1 = $true )
& ( kfstpairEq = $true )
& ( binunionE = $true )
& ( breln1all1 = $true )
& ( setunionAx = $true )
& ( setukpairinjR11 = $true )
& ( subsetI2 = $true )
& ( woz2W = $true )
& ( powersetAx = $true )
& ( setminusT_lem = $true )
& ( breln1unionIL = $true )
& ( subbreln = $true )
& ( prop2setE = $true )
& ( eta1 = $true )
& ( breln1unionE = $true )
& ( binunionTIRcontra = $true )
& ( cartprodfstin = $true )
& ( ap2p = $true )
& ( cartprodsndin = $true )
& ( emptysetE = $true )
& ( subsetE2 = $true )
& ( setukpairIR = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( binintersectER = $true )
& ( inIntersectImpInUnion = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( breln1unionCommutes = $true )
& ( binunionRsub = $true )
& ( ex1I = $true )
& ( setminusER = $true )
& ( breln1unionprop = $true )
& ( woz2A = $true )
& ( omegaIndAx = $true )
& ( funcext = $true )
& ( injFuncSetFuncInj = $true )
& ( doubleComplementSub2 = $true )
& ( setoftrueEq = $true )
& ( setminusIRneg = $true )
& ( iftrueProp1 = $true )
& ( subsetE = $true )
& ( binunionEcases = $true )
& ( dpsetconstrEL2 = $true )
& ( powersetTI1 = $true )
& ( complementTnotintersectT = $true )
& ( setminusSubset1 = $true )
& ( exuEu = $true )
& ( setadjoinIL = $true )
& ( lamProp = $true )
& ( emptysetAx = $true )
& ( setext = $true )
& ( binunionIL = $true )
& ( kpairsurjEq = $true )
& ( setunionE = $true )
& ( funcinfuncset = $true )
& ( leftInvIsSurj = $true )
& ( emptyInPowerset = $true )
& ( setukpairinjR2 = $true )
& ( demorgan2a = $true )
& ( lam2lamEq = $true )
& ( descrp = $true )
& ( subsetemptysetimpeq = $true )
& ? [X0: $i] :
( ? [X1: $i] :
( ( X0 != X1 )
& ( ( omegaS @ X0 )
= ( omegaS @ X1 ) )
& ( ( in @ X1 @ omega )
= $true ) )
& ( ( in @ X0 @ omega )
= $true ) )
& ( notdallE = $true )
& ( upairequniteq = $true )
& ( funcGraphProp2 = $true )
& ( ksndpairEq = $true )
& ( singletoninpowunion = $true )
& ( subsetTrans = $true )
& ( setukpairinjL2 = $true )
& ( replAx = $true )
& ( woz1_5 = $true )
& ( doubleComplementSub1 = $true )
& ( funcext2 = $true )
& ( breln1compprop = $true )
& ( contraSubsetComplement = $true )
& ( ap2apEq1 = $true )
& ( nonemptyI = $true )
& ( setadjoinOr = $true )
& ( ubforcartprodlem1 = $true )
& ( doubleComplementE1 = $true )
& ( cartprodfstpairEq = $true )
& ( emptyinPowerset = $true )
& ( symdiffIneg2 = $true )
& ( eta2 = $true )
& ( complementT_lem = $true )
& ( setunionE2 = $true )
& ( nonemptyI1 = $true )
& ( powersetT_lem = $true )
& ( image1Ex = $true )
& ( funcGraphProp4 = $true )
& ( exuI1 = $true )
& ( subPowSU = $true )
& ( cartprodpairmemEL = $true )
& ( ifSingleton = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( powersetTE1 = $true )
& ( contrasubsetT2 = $true )
& ( injFuncSetFuncIn = $true ) ),
inference(flattening,[],[f1073]) ).
thf(f1365,plain,
( ! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( X1 = X2 )
| ( ( in @ X2 @ ( setadjoin @ X1 @ X0 ) )
!= $true ) )
<=> ( setadjoinOr = $true ) ),
inference(ennf_transformation,[],[f948]) ).
thf(f1366,plain,
( ( setadjoinOr = $true )
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( X1 = X2 )
| ( ( in @ X2 @ ( setadjoin @ X1 @ X0 ) )
!= $true ) ) ),
inference(flattening,[],[f1365]) ).
thf(f1609,plain,
( ( exuI3 = $true )
& ( app = $true )
& ( ubforcartprodlem3 = $true )
& ( setminusSubset2 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( setextT = $true )
& ( cartprodpairsurjEq = $true )
& ( setadjoinE = $true )
& ( demorgan2b2 = $true )
& ( breln1unionI = $true )
& ( setunionI = $true )
& ( foundationAx = $true )
& ( image1Equiv = $true )
& ( iffalseProp1 = $true )
& ( demorgan1b = $true )
& ( exuE3e = $true )
& ( contrasubsetT = $true )
& ( subbreln1 = $true )
& ( omegaSAx = $true )
& ( omega__Cong = $true )
& ( surjFuncSetFuncIn = $true )
& ( breln1compE = $true )
& ( brelnall1 = $true )
& ( notdexE = $true )
& ( funcImageSingleton = $true )
& ( binintersectT_lem = $true )
& ( eqimpsubset1 = $true )
& ( binintersectI = $true )
& ( binintersectTERcontra = $true )
& ( ex1E1 = $true )
& ( cartprodpairmemER = $true )
& ( breln1invprop = $true )
& ( upairsetIR = $true )
& ( binunionIR = $true )
& ( setukpairinjR = $true )
& ( foundation2 = $true )
& ( setminusELneg = $true )
& ( complementSubsetComplementIntersect = $true )
& ( upairsetE = $true )
& ( upairset2E = $true )
& ( uniqinunit = $true )
& ( subset2powerset = $true )
& ( peano0notS = $true )
& ( eqimpsubset2 = $true )
& ( symdiffI1 = $true )
& ( kfstsingleton = $true )
& ( binintersectSubset5 = $true )
& ( setminusERneg = $true )
& ( exuE1 = $true )
& ( prop2setI = $true )
& ( woz13rule3 = $true )
& ( powersetI1 = $true )
& ( binintersectEL = $true )
& ( nonemptyImpWitness = $true )
& ( iftrue = $true )
& ( upairset2IR = $true )
& ( breln1SetBreln1 = $true )
& ( funcextLem = $true )
& ( demorgan2 = $true )
& ( vacuousDall = $true )
& ( binunionT_lem = $true )
& ( doubleComplementEq = $true )
& ( binintersectLsub = $true )
& ( woz13rule2 = $true )
& ( subsetTI = $true )
& ( bs114d = $true )
& ( upairinpowunion = $true )
& ( setukpairinjR12 = $true )
& ( powersetE1 = $true )
& ( setbeta = $true )
& ( setadjoin__Cong = $true )
& ( dsetconstrI = $true )
& ( notequalI1 = $true )
& ( breln1unionIR = $true )
& ( surjCantorThm = $true )
& ( inCongP = $true )
& ( binintersectSubset2 = $true )
& ( iffalseProp2 = $true )
& ( disjointsetsI1 = $true )
& ( woz1_4 = $true )
& ( powersetsubset = $true )
& ( emptyI = $true )
& ( setadjoinIR = $true )
& ( sepInPowerset = $true )
& ( setukpairinjL1 = $true )
& ( cartprodsndpairEq = $true )
& ( binintersectSubset4 = $true )
& ( complementTE1 = $true )
& ( ex1E2 = $true )
& ( infuncsetfunc = $true )
& ( emptyinunitempty = $true )
& ( singletoninpowerset = $true )
& ( lam2p = $true )
& ( funcGraphProp1 = $true )
& ( woz1_1 = $true )
& ( eqbreln = $true )
& ( doubleComplementI1 = $true )
& ( dpsetconstrER = $true )
& ( descr__Cong = $true )
& ( exuE3u = $true )
& ( contrasubsetT1 = $true )
& ( setunion__Cong = $true )
& ( image1I = $true )
& ( omegaSclos = $true )
& ( notequalI2 = $true )
& ( demorgan1a = $true )
& ( binunionTILcontra = $true )
& ( kpairp = $true )
& ( setadjoinSub2 = $true )
& ( surjFuncSetFuncSurj = $true )
& ( binunionTE = $true )
& ( inPowerset = $true )
& ( omega0Ax = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementImpComplementIntersect = $true )
& ( setminusEL = $true )
& ( exu__Cong = $true )
& ( cartprodpairin = $true )
& ( secondinupair = $true )
& ( prop2set2propI = $true )
& ( complementTcontraSubset = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectSubset3 = $true )
& ( theprop = $true )
& ( powerset__Cong = $true )
& ( ksndsingleton = $true )
& ( subsetRefl = $true )
& ( singletonsswitch = $true )
& ( woz2B = $true )
& ( breln1unionEcases = $true )
& ( woz13rule4 = $true )
& ( emptyE1 = $true )
& ( cartprodmempaircEq = $true )
& ( woz2Ex = $true )
& ( breln1all2 = $true )
& ( dsetconstr__Cong = $true )
& ( nonemptyE1 = $true )
& ( setunionsingleton2 = $true )
& ( singletonsuniq = $true )
& ( setOfPairsIsBReln1 = $true )
& ( eqbreln1 = $true )
& ( in__Cong = $true )
& ( choice2fnsingleton = $true )
& ( iftrueProp2 = $true )
& ( notinself2 = $true )
& ( wellorderingAx = $true )
& ( injFuncInInjFuncSet = $true )
& ( complementUnionInPowersetComplement = $true )
& ( exuI2 = $true )
& ( notinemptyset = $true )
& ( breln1invE = $true )
& ( image1Ex1 = $true )
& ( brelnall2 = $true )
& ( symdiffI2 = $true )
& ( notinself = $true )
& ( binintersectSubset1 = $true )
& ( woz13rule1 = $true )
& ( ex1I2 = $true )
& ( setOfPairsIsBReln = $true )
& ( funcGraphProp3 = $true )
& ( symdiffE = $true )
& ( powersetE = $true )
& ( contrasubsetT3 = $true )
& ( setminusLsub = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan1 = $true )
& ( singletonprop = $true )
& ( singletonsubset = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( beta1 = $true )
& ( subsetI1 = $true )
& ( complementTI1 = $true )
& ( powersetI = $true )
& ( setukpairIL = $true )
& ( quantDeMorgan4 = $true )
& ( kpairiskpair = $true )
& ( setunionsingleton = $true )
& ( ifp = $true )
& ( lamp = $true )
& ( notinsingleton = $true )
& ( demorgan2a1 = $true )
& ( demorgan2a2 = $true )
& ( woz1_3 = $true )
& ( demorgan2b = $true )
& ( noeltsimpempty = $true )
& ( upairsetIL = $true )
& ( emptyset__Cong = $true )
& ( woz1_2 = $true )
& ( beta2 = $true )
& ( breln1invI = $true )
& ( exuE2 = $true )
& ( setukpairinjL = $true )
& ( setextsub = $true )
& ( setunionsingleton1 = $true )
& ( breln1compEex = $true )
& ( demorgan1 = $true )
& ( dpsetconstrSub = $true )
& ( symdiffIneg1 = $true )
& ( setukpairinjR1 = $true )
& ( sepSubset = $true )
& ( omegaSp = $true )
& ( emptysetimpfalse = $true )
& ( notsubsetI = $true )
& ( binintersectTELcontra = $true )
& ( setminusI = $true )
& ( dsetconstrER = $true )
& ( image1E = $true )
& ( iftrueorfalse = $true )
& ( binintersectRsub = $true )
& ( ubforcartprodlem2 = $true )
& ( ap2apEq2 = $true )
& ( cartprodmempair1 = $true )
& ( setadjoinSub = $true )
& ( eqinunit = $true )
& ( woz13rule0 = $true )
& ( setminusILneg = $true )
& ( setadjoinAx = $true )
& ( dpsetconstrERa = $true )
& ( setextAx = $true )
& ( breln1compI = $true )
& ( binunionLsub = $true )
& ( dpsetconstrI = $true )
& ( iffalse = $true )
& ( cartprodmempair = $true )
& ( emptysetsubset = $true )
& ( binunionTEcontra = $true )
& ( upairsubunion = $true )
& ( dsetconstrEL = $true )
& ( theeq = $true )
& ( apProp = $true )
& ( dpsetconstrEL1 = $true )
& ( kfstpairEq = $true )
& ( binunionE = $true )
& ( breln1all1 = $true )
& ( setunionAx = $true )
& ( setukpairinjR11 = $true )
& ( subsetI2 = $true )
& ( woz2W = $true )
& ( powersetAx = $true )
& ( setminusT_lem = $true )
& ( breln1unionIL = $true )
& ( subbreln = $true )
& ( prop2setE = $true )
& ( eta1 = $true )
& ( breln1unionE = $true )
& ( binunionTIRcontra = $true )
& ( cartprodfstin = $true )
& ( ap2p = $true )
& ( cartprodsndin = $true )
& ( emptysetE = $true )
& ( subsetE2 = $true )
& ( setukpairIR = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( binintersectER = $true )
& ( inIntersectImpInUnion = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( breln1unionCommutes = $true )
& ( binunionRsub = $true )
& ( ex1I = $true )
& ( setminusER = $true )
& ( breln1unionprop = $true )
& ( woz2A = $true )
& ( omegaIndAx = $true )
& ( funcext = $true )
& ( injFuncSetFuncInj = $true )
& ( doubleComplementSub2 = $true )
& ( setoftrueEq = $true )
& ( setminusIRneg = $true )
& ( iftrueProp1 = $true )
& ( subsetE = $true )
& ( binunionEcases = $true )
& ( dpsetconstrEL2 = $true )
& ( powersetTI1 = $true )
& ( complementTnotintersectT = $true )
& ( setminusSubset1 = $true )
& ( exuEu = $true )
& ( setadjoinIL = $true )
& ( lamProp = $true )
& ( emptysetAx = $true )
& ( setext = $true )
& ( binunionIL = $true )
& ( kpairsurjEq = $true )
& ( setunionE = $true )
& ( funcinfuncset = $true )
& ( leftInvIsSurj = $true )
& ( emptyInPowerset = $true )
& ( setukpairinjR2 = $true )
& ( demorgan2a = $true )
& ( lam2lamEq = $true )
& ( descrp = $true )
& ( subsetemptysetimpeq = $true )
& ( sK181 != sK180 )
& ( ( omegaS @ sK181 )
= ( omegaS @ sK180 ) )
& ( ( in @ sK181 @ omega )
= $true )
& ( ( in @ sK180 @ omega )
= $true )
& ( notdallE = $true )
& ( upairequniteq = $true )
& ( funcGraphProp2 = $true )
& ( ksndpairEq = $true )
& ( singletoninpowunion = $true )
& ( subsetTrans = $true )
& ( setukpairinjL2 = $true )
& ( replAx = $true )
& ( woz1_5 = $true )
& ( doubleComplementSub1 = $true )
& ( funcext2 = $true )
& ( breln1compprop = $true )
& ( contraSubsetComplement = $true )
& ( ap2apEq1 = $true )
& ( nonemptyI = $true )
& ( setadjoinOr = $true )
& ( ubforcartprodlem1 = $true )
& ( doubleComplementE1 = $true )
& ( cartprodfstpairEq = $true )
& ( emptyinPowerset = $true )
& ( symdiffIneg2 = $true )
& ( eta2 = $true )
& ( complementT_lem = $true )
& ( setunionE2 = $true )
& ( nonemptyI1 = $true )
& ( powersetT_lem = $true )
& ( image1Ex = $true )
& ( funcGraphProp4 = $true )
& ( exuI1 = $true )
& ( subPowSU = $true )
& ( cartprodpairmemEL = $true )
& ( ifSingleton = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( powersetTE1 = $true )
& ( contrasubsetT2 = $true )
& ( injFuncSetFuncIn = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK180,sK181]),skolemize(X0,sK180),skolemize(X1,sK181)],[f1074]) ).
thf(f1655,plain,
( ( ( notinself2 = $true )
| ? [X1: $i,X0: $i] :
( ( ( in @ X1 @ X0 )
= $true )
& ( ( in @ X0 @ X1 )
= $true ) ) )
& ( ! [X1: $i,X0: $i] :
( ( ( in @ X1 @ X0 )
!= $true )
| ( ( in @ X0 @ X1 )
!= $true ) )
| ( notinself2 != $true ) ) ),
inference(nnf_transformation,[],[f1046]) ).
thf(f1656,plain,
( ( ( notinself2 = $true )
| ? [X0: $i,X1: $i] :
( ( ( in @ X0 @ X1 )
= $true )
& ( ( in @ X1 @ X0 )
= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( in @ X2 @ X3 )
!= $true )
| ( ( in @ X3 @ X2 )
!= $true ) )
| ( notinself2 != $true ) ) ),
inference(rectify,[],[f1655]) ).
thf(f1657,plain,
( ( ( notinself2 = $true )
| ( ( ( in @ sK234 @ sK235 )
= $true )
& ( ( in @ sK235 @ sK234 )
= $true ) ) )
& ( ! [X2: $i,X3: $i] :
( ( ( in @ X2 @ X3 )
!= $true )
| ( ( in @ X3 @ X2 )
!= $true ) )
| ( notinself2 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK234,sK235]),skolemize(X0,sK234),skolemize(X1,sK235)],[f1656]) ).
thf(f2145,plain,
( ( ( setadjoinOr = $true )
| ? [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
& ( X1 != X2 )
& ( ( in @ X2 @ ( setadjoin @ X1 @ X0 ) )
= $true ) ) )
& ( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( X1 = X2 )
| ( ( in @ X2 @ ( setadjoin @ X1 @ X0 ) )
!= $true ) )
| ( setadjoinOr != $true ) ) ),
inference(nnf_transformation,[],[f1366]) ).
thf(f2146,plain,
( ( ( setadjoinOr = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X1 )
!= $true )
& ( X0 != X2 )
& ( ( in @ X0 @ ( setadjoin @ X2 @ X1 ) )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ X4 )
= $true )
| ( X3 = X5 )
| ( $true
!= ( in @ X3 @ ( setadjoin @ X5 @ X4 ) ) ) )
| ( setadjoinOr != $true ) ) ),
inference(rectify,[],[f2145]) ).
thf(f2147,plain,
( ( ( setadjoinOr = $true )
| ( ( ( in @ sK776 @ sK777 )
!= $true )
& ( sK778 != sK776 )
& ( ( in @ sK776 @ ( setadjoin @ sK778 @ sK777 ) )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ X4 )
= $true )
| ( X3 = X5 )
| ( $true
!= ( in @ X3 @ ( setadjoin @ X5 @ X4 ) ) ) )
| ( setadjoinOr != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK776,sK777,sK778]),skolemize(X0,sK776),skolemize(X1,sK777),skolemize(X2,sK778)],[f2146]) ).
thf(f2269,plain,
( ( ( setadjoinIL = $true )
| ? [X1: $i,X0: $i] :
( ( in @ X0 @ ( setadjoin @ X0 @ X1 ) )
!= $true ) )
& ( ! [X1: $i,X0: $i] :
( ( in @ X0 @ ( setadjoin @ X0 @ X1 ) )
= $true )
| ( setadjoinIL != $true ) ) ),
inference(nnf_transformation,[],[f808]) ).
thf(f2270,plain,
( ( ( setadjoinIL = $true )
| ? [X0: $i,X1: $i] :
( ( in @ X1 @ ( setadjoin @ X1 @ X0 ) )
!= $true ) )
& ( ! [X2: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X3 @ X2 ) )
= $true )
| ( setadjoinIL != $true ) ) ),
inference(rectify,[],[f2269]) ).
thf(f2271,plain,
( ( ( setadjoinIL = $true )
| ( ( in @ sK918 @ ( setadjoin @ sK918 @ sK917 ) )
!= $true ) )
& ( ! [X2: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X3 @ X2 ) )
= $true )
| ( setadjoinIL != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK917,sK918]),skolemize(X0,sK917),skolemize(X1,sK918)],[f2270]) ).
thf(f2559,plain,
( omegaS
= ( ^ [Y0: $i] : ( setadjoin @ Y0 @ Y0 ) ) ),
inference(cnf_transformation,[],[f333]) ).
thf(f2678,plain,
setadjoinOr = $true,
inference(cnf_transformation,[],[f1609]) ).
thf(f2696,plain,
( ( omegaS @ sK181 )
= ( omegaS @ sK180 ) ),
inference(cnf_transformation,[],[f1609]) ).
thf(f2697,plain,
sK181 != sK180,
inference(cnf_transformation,[],[f1609]) ).
thf(f2712,plain,
setadjoinIL = $true,
inference(cnf_transformation,[],[f1609]) ).
thf(f2844,plain,
notinself2 = $true,
inference(cnf_transformation,[],[f1609]) ).
thf(f3049,plain,
! [X2: $i,X3: $i] :
( ( ( in @ X2 @ X3 )
!= $true )
| ( ( in @ X3 @ X2 )
!= $true )
| ( notinself2 != $true ) ),
inference(cnf_transformation,[],[f1657]) ).
thf(f3830,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ X4 )
= $true )
| ( setadjoinOr != $true )
| ( $true
!= ( in @ X3 @ ( setadjoin @ X5 @ X4 ) ) )
| ( X3 = X5 ) ),
inference(cnf_transformation,[],[f2147]) ).
thf(f4028,plain,
! [X2: $i,X3: $i] :
( ( setadjoinIL != $true )
| ( ( in @ X3 @ ( setadjoin @ X3 @ X2 ) )
= $true ) ),
inference(cnf_transformation,[],[f2271]) ).
thf(f5179,definition,
( spl1081_155
<=> ( sK181 = sK180 ) ),
introduced(definition,[new_symbols(definition,[spl1081_155])],[avatar_definition]) ).
thf(f5181,plain,
( ( sK181 != sK180 )
| spl1081_155 ),
inference(avatar_component_clause,[],[f5179]) ).
thf(f5182,plain,
~ spl1081_155,
inference(avatar_split_clause,[],[f2697,f5179]) ).
thf(f5751,definition,
( spl1081_282
<=> ( setadjoinOr = $true ) ),
introduced(definition,[new_symbols(definition,[spl1081_282])],[avatar_definition]) ).
thf(f6053,definition,
( spl1081_349
<=> ( notinself2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl1081_349])],[avatar_definition]) ).
thf(f6057,definition,
( spl1081_350
<=> ! [X2: $i,X3: $i] :
( ( ( in @ X2 @ X3 )
!= $true )
| ( ( in @ X3 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl1081_350])],[avatar_definition]) ).
thf(f6058,plain,
( ! [X2: $i,X3: $i] :
( ( ( in @ X3 @ X2 )
!= $true )
| ( ( in @ X2 @ X3 )
!= $true ) )
| ~ spl1081_350 ),
inference(avatar_component_clause,[],[f6057]) ).
thf(f6059,plain,
( ~ spl1081_349
| spl1081_350 ),
inference(avatar_split_clause,[],[f3049,f6057,f6053]) ).
thf(f6211,definition,
( spl1081_383
<=> ! [X2: $i,X1: $i] :
( ( in @ X1 @ ( setadjoin @ X1 @ X2 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1081_383])],[avatar_definition]) ).
thf(f6212,plain,
( ! [X2: $i,X1: $i] :
( ( in @ X1 @ ( setadjoin @ X1 @ X2 ) )
= $true )
| ~ spl1081_383 ),
inference(avatar_component_clause,[],[f6211]) ).
thf(f6691,definition,
( spl1081_489
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ X2 )
= $true )
| ( ( in @ X0 @ ( setadjoin @ X1 @ X2 ) )
!= $true )
| ( X0 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl1081_489])],[avatar_definition]) ).
thf(f6692,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ ( setadjoin @ X1 @ X2 ) )
!= $true )
| ( ( in @ X0 @ X2 )
= $true )
| ( X0 = X1 ) )
| ~ spl1081_489 ),
inference(avatar_component_clause,[],[f6691]) ).
thf(f6834,definition,
( spl1081_521
<=> ( setadjoinIL = $true ) ),
introduced(definition,[new_symbols(definition,[spl1081_521])],[avatar_definition]) ).
thf(f6837,plain,
( ~ spl1081_521
| spl1081_383 ),
inference(avatar_split_clause,[],[f4028,f6211,f6834]) ).
thf(f8824,plain,
spl1081_282,
inference(avatar_split_clause,[],[f2678,f5751]) ).
thf(f8965,definition,
( spl1081_970
<=> ( ( omegaS @ sK181 )
= ( omegaS @ sK180 ) ) ),
introduced(definition,[new_symbols(definition,[spl1081_970])],[avatar_definition]) ).
thf(f8967,plain,
( ( ( omegaS @ sK181 )
= ( omegaS @ sK180 ) )
| ~ spl1081_970 ),
inference(avatar_component_clause,[],[f8965]) ).
thf(f8968,plain,
spl1081_970,
inference(avatar_split_clause,[],[f2696,f8965]) ).
thf(f9222,plain,
( spl1081_489
| ~ spl1081_282 ),
inference(avatar_split_clause,[],[f3830,f5751,f6691]) ).
thf(f10691,plain,
spl1081_521,
inference(avatar_split_clause,[],[f2712,f6834]) ).
thf(f12169,definition,
( spl1081_1633
<=> ( omegaS
= ( ^ [Y0: $i] : ( setadjoin @ Y0 @ Y0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1081_1633])],[avatar_definition]) ).
thf(f12171,plain,
( ( omegaS
= ( ^ [Y0: $i] : ( setadjoin @ Y0 @ Y0 ) ) )
| ~ spl1081_1633 ),
inference(avatar_component_clause,[],[f12169]) ).
thf(f12172,plain,
spl1081_1633,
inference(avatar_split_clause,[],[f2559,f12169]) ).
thf(f12648,plain,
spl1081_349,
inference(avatar_split_clause,[],[f2844,f6053]) ).
thf(f15760,plain,
( ! [X1: $i] :
( ( omegaS @ X1 )
= ( ^ [Y0: $i] : ( setadjoin @ Y0 @ Y0 )
@ X1 ) )
| ~ spl1081_1633 ),
inference(argument_congruence,[],[f12171]) ).
thf(f15761,plain,
( ! [X1: $i] :
( ( setadjoin @ X1 @ X1 )
= ( omegaS @ X1 ) )
| ~ spl1081_1633 ),
inference(beta-eta_normalization,[],[f15760]) ).
thf(f16794,plain,
( ( ( setadjoin @ sK180 @ sK180 )
= ( omegaS @ sK181 ) )
| ~ spl1081_970
| ~ spl1081_1633 ),
inference(superposition,[],[f8967,f15761]) ).
thf(f16806,definition,
( spl1081_1799
<=> ( ( setadjoin @ sK180 @ sK180 )
= ( omegaS @ sK181 ) ) ),
introduced(definition,[new_symbols(definition,[spl1081_1799])],[avatar_definition]) ).
thf(f16808,plain,
( ( ( setadjoin @ sK180 @ sK180 )
= ( omegaS @ sK181 ) )
| ~ spl1081_1799 ),
inference(avatar_component_clause,[],[f16806]) ).
thf(f16809,plain,
( spl1081_1799
| ~ spl1081_970
| ~ spl1081_1633 ),
inference(avatar_split_clause,[],[f16794,f12169,f8965,f16806]) ).
thf(f16958,plain,
( ( ( setadjoin @ sK180 @ sK180 )
= ( setadjoin @ sK181 @ sK181 ) )
| ~ spl1081_1633
| ~ spl1081_1799 ),
inference(superposition,[],[f15761,f16808]) ).
thf(f16976,definition,
( spl1081_1818
<=> ( ( setadjoin @ sK180 @ sK180 )
= ( setadjoin @ sK181 @ sK181 ) ) ),
introduced(definition,[new_symbols(definition,[spl1081_1818])],[avatar_definition]) ).
thf(f16978,plain,
( ( ( setadjoin @ sK180 @ sK180 )
= ( setadjoin @ sK181 @ sK181 ) )
| ~ spl1081_1818 ),
inference(avatar_component_clause,[],[f16976]) ).
thf(f16979,plain,
( spl1081_1818
| ~ spl1081_1633
| ~ spl1081_1799 ),
inference(avatar_split_clause,[],[f16958,f16806,f12169,f16976]) ).
thf(f17356,plain,
( ( ( in @ sK180 @ ( setadjoin @ sK181 @ sK181 ) )
= $true )
| ~ spl1081_383
| ~ spl1081_1818 ),
inference(superposition,[],[f6212,f16978]) ).
thf(f17357,plain,
( ! [X0: $i] :
( ( ( in @ X0 @ ( setadjoin @ sK181 @ sK181 ) )
!= $true )
| ( ( in @ X0 @ sK180 )
= $true )
| ( sK180 = X0 ) )
| ~ spl1081_489
| ~ spl1081_1818 ),
inference(superposition,[],[f6692,f16978]) ).
thf(f17371,definition,
( spl1081_1822
<=> ( ( in @ sK180 @ ( setadjoin @ sK181 @ sK181 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1081_1822])],[avatar_definition]) ).
thf(f17373,plain,
( ( ( in @ sK180 @ ( setadjoin @ sK181 @ sK181 ) )
= $true )
| ~ spl1081_1822 ),
inference(avatar_component_clause,[],[f17371]) ).
thf(f17374,plain,
( spl1081_1822
| ~ spl1081_383
| ~ spl1081_1818 ),
inference(avatar_split_clause,[],[f17356,f16976,f6211,f17371]) ).
thf(f17382,plain,
( ( $true != $true )
| ( ( in @ sK180 @ sK181 )
= $true )
| ( sK181 = sK180 )
| ~ spl1081_489
| ~ spl1081_1822 ),
inference(superposition,[],[f6692,f17373]) ).
thf(f17390,plain,
( ( ( in @ sK180 @ sK181 )
= $true )
| ( sK181 = sK180 )
| ~ spl1081_489
| ~ spl1081_1822 ),
inference(trivial_inequality_removal,[],[f17382]) ).
thf(f17403,plain,
( ( ( in @ sK180 @ sK181 )
= $true )
| spl1081_155
| ~ spl1081_489
| ~ spl1081_1822 ),
inference(forward_subsumption_resolution,[],[f17390,f5181]) ).
thf(f17405,definition,
( spl1081_1826
<=> ( ( in @ sK180 @ sK181 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1081_1826])],[avatar_definition]) ).
thf(f17407,plain,
( ( ( in @ sK180 @ sK181 )
= $true )
| ~ spl1081_1826 ),
inference(avatar_component_clause,[],[f17405]) ).
thf(f17408,plain,
( spl1081_1826
| spl1081_155
| ~ spl1081_489
| ~ spl1081_1822 ),
inference(avatar_split_clause,[],[f17403,f17371,f6691,f5179,f17405]) ).
thf(f17422,plain,
( ( $true != $true )
| ( ( in @ sK181 @ sK180 )
!= $true )
| ~ spl1081_350
| ~ spl1081_1826 ),
inference(superposition,[],[f6058,f17407]) ).
thf(f17424,plain,
( ( ( in @ sK181 @ sK180 )
!= $true )
| ~ spl1081_350
| ~ spl1081_1826 ),
inference(trivial_inequality_removal,[],[f17422]) ).
thf(f17437,definition,
( spl1081_1829
<=> ( ( in @ sK181 @ sK180 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1081_1829])],[avatar_definition]) ).
thf(f17440,plain,
( ~ spl1081_1829
| ~ spl1081_350
| ~ spl1081_1826 ),
inference(avatar_split_clause,[],[f17424,f17405,f6057,f17437]) ).
thf(f18498,plain,
( ( $true != $true )
| ( ( in @ sK181 @ sK180 )
= $true )
| ( sK181 = sK180 )
| ~ spl1081_383
| ~ spl1081_489
| ~ spl1081_1818 ),
inference(superposition,[],[f17357,f6212]) ).
thf(f18548,plain,
( ( ( in @ sK181 @ sK180 )
= $true )
| ( sK181 = sK180 )
| ~ spl1081_383
| ~ spl1081_489
| ~ spl1081_1818 ),
inference(trivial_inequality_removal,[],[f18498]) ).
thf(f18585,plain,
( ( ( in @ sK181 @ sK180 )
= $true )
| spl1081_155
| ~ spl1081_383
| ~ spl1081_489
| ~ spl1081_1818 ),
inference(forward_subsumption_resolution,[],[f18548,f5181]) ).
thf(f18623,plain,
( spl1081_1829
| spl1081_155
| ~ spl1081_383
| ~ spl1081_489
| ~ spl1081_1818 ),
inference(avatar_split_clause,[],[f18585,f16976,f6691,f6211,f5179,f17437]) ).
cnf(s97,plain,
~ spl1081_155,
inference(sat_conversion,[],[f5182]) ).
cnf(s233,plain,
( ~ spl1081_349
| spl1081_350 ),
inference(sat_conversion,[],[f6059]) ).
cnf(s371,plain,
( spl1081_383
| ~ spl1081_521 ),
inference(sat_conversion,[],[f6837]) ).
cnf(s786,plain,
spl1081_282,
inference(sat_conversion,[],[f8824]) ).
cnf(s818,plain,
spl1081_970,
inference(sat_conversion,[],[f8968]) ).
cnf(s877,plain,
( ~ spl1081_282
| spl1081_489 ),
inference(sat_conversion,[],[f9222]) ).
cnf(s1244,plain,
spl1081_521,
inference(sat_conversion,[],[f10691]) ).
cnf(s1621,plain,
spl1081_1633,
inference(sat_conversion,[],[f12172]) ).
cnf(s1752,plain,
spl1081_349,
inference(sat_conversion,[],[f12648]) ).
cnf(s1857,plain,
( ~ spl1081_970
| ~ spl1081_1633
| spl1081_1799 ),
inference(sat_conversion,[],[f16809]) ).
cnf(s1878,plain,
( ~ spl1081_1633
| ~ spl1081_1799
| spl1081_1818 ),
inference(sat_conversion,[],[f16979]) ).
cnf(s1894,plain,
( ~ spl1081_383
| ~ spl1081_1818
| spl1081_1822 ),
inference(sat_conversion,[],[f17374]) ).
cnf(s1900,plain,
( spl1081_155
| ~ spl1081_489
| ~ spl1081_1822
| spl1081_1826 ),
inference(sat_conversion,[],[f17408]) ).
cnf(s1902,plain,
( ~ spl1081_350
| ~ spl1081_1826
| ~ spl1081_1829 ),
inference(sat_conversion,[],[f17440]) ).
cnf(s1934,plain,
( spl1081_155
| ~ spl1081_383
| ~ spl1081_489
| ~ spl1081_1818
| spl1081_1829 ),
inference(sat_conversion,[],[f18623]) ).
cnf(s2059,plain,
spl1081_1799,
inference(rat,[],[s1857,s1621,s818]) ).
cnf(s2060,plain,
spl1081_1818,
inference(rat,[],[s1878,s1621,s2059]) ).
cnf(s2067,plain,
spl1081_489,
inference(rat,[],[s877,s786]) ).
cnf(s2194,plain,
spl1081_383,
inference(rat,[],[s371,s1244]) ).
cnf(s2195,plain,
spl1081_1822,
inference(rat,[],[s1894,s2060,s2194]) ).
cnf(s2273,plain,
spl1081_350,
inference(rat,[],[s233,s1752]) ).
cnf(s2343,plain,
spl1081_1829,
inference(rat,[],[s1934,s2194,s2060,s2067,s97]) ).
cnf(s2344,plain,
spl1081_1826,
inference(rat,[],[s1900,s2195,s2067,s97]) ).
cnf(s2345,plain,
$false,
inference(rat,[],[s1902,s2273,s2343,s2344]) ).
thf(f18642,plain,
$false,
inference(avatar_sat_refutation,[],[s2345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU811^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 14:33:03 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running higher-order theorem proving
% 0.09/0.17 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.28 % (186082)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.28 % (186093)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.28 % (186093)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.32/0.28 % (186093)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=4188590960:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.28 % (186088)lrs+10_16_si=on:nwc=1.5:random_seed=1217507673:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.28 % (186091)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2849955779:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.28 % (186089)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3471231960:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.28 % (186092)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3499792529:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.28 % (186089)Instruction limit reached!
% 0.32/0.28 % (186089)------------------------------
% 0.32/0.28 % (186089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.28 % (186089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.28 % (186087)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3543424598:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.28 % (186089)CaDiCaL version: 2.1.3
% 0.32/0.28 % (186089)Termination reason: Instruction limit
% 0.32/0.28 % (186089)Termination phase: shuffling
% 0.32/0.28 % (186089)Time elapsed: 0.002 s
% 0.32/0.28 % (186089)Peak memory usage: 10 MB
% 0.32/0.28 % (186089)Instructions burned: 6 (million)
% 0.32/0.28 % (186090)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=2529004210:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.32/0.28 % (186088)Instruction limit reached!
% 0.32/0.28 % (186088)------------------------------
% 0.32/0.28 % (186088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.28 % (186088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.28 % (186088)CaDiCaL version: 2.1.3
% 0.32/0.28 % (186088)Termination reason: Instruction limit
% 0.32/0.28 % (186088)Termination phase: shuffling
% 0.32/0.28 % (186088)Time elapsed: 0.005 s
% 0.32/0.28 % (186088)Peak memory usage: 10 MB
% 0.32/0.28 % (186088)Instructions burned: 20 (million)
% 0.32/0.28 % (186091)Instruction limit reached!
% 0.32/0.28 % (186091)------------------------------
% 0.32/0.28 % (186091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.28 % (186091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.28 % (186091)CaDiCaL version: 2.1.3
% 0.32/0.28 % (186091)Termination reason: Instruction limit
% 0.32/0.28 % (186091)Termination phase: shuffling
% 0.32/0.28 % (186091)Time elapsed: 0.006 s
% 0.32/0.28 % (186091)Peak memory usage: 10 MB
% 0.32/0.28 % (186091)Instructions burned: 26 (million)
% 0.32/0.28 % (186100)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=136531611:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.28 % (186100)Instruction limit reached!
% 0.32/0.28 % (186100)------------------------------
% 0.32/0.28 % (186100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.28 % (186100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.28 % (186100)CaDiCaL version: 2.1.3
% 0.32/0.28 % (186100)Termination reason: Instruction limit
% 0.32/0.28 % (186100)Termination phase: shuffling
% 0.32/0.28 % (186100)Time elapsed: 0.001 s
% 0.32/0.28 % (186100)Peak memory usage: 10 MB
% 0.32/0.28 % (186100)Instructions burned: 4 (million)
% 0.32/0.28 % (186103)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.28 % (186102)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3522949489:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.32/0.30 % (186102)Instruction limit reached!
% 0.32/0.30 % (186102)------------------------------
% 0.32/0.30 % (186102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.30 % (186102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.30 % (186102)CaDiCaL version: 2.1.3
% 0.32/0.30 % (186102)Termination reason: Instruction limit
% 0.32/0.30 % (186102)Termination phase: shuffling
% 0.32/0.30 % (186102)Time elapsed: 0.001 s
% 0.32/0.30 % (186102)Peak memory usage: 10 MB
% 0.32/0.30 % (186102)Instructions burned: 5 (million)
% 0.32/0.30 % (186103)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3665317031:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.32/0.30 % (186092)Instruction limit reached!
% 0.32/0.30 % (186092)------------------------------
% 0.32/0.30 % (186092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.30 % (186092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.30 % (186092)CaDiCaL version: 2.1.3
% 0.32/0.30 % (186092)Termination reason: Instruction limit
% 0.32/0.30 % (186092)Termination phase: Preprocessing 1
% 0.32/0.30 % (186092)Time elapsed: 0.018 s
% 0.32/0.30 % (186092)Peak memory usage: 11 MB
% 0.32/0.30 % (186092)Instructions burned: 76 (million)
% 0.32/0.30 % (186103)Instruction limit reached!
% 0.32/0.30 % (186103)------------------------------
% 0.32/0.30 % (186103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.30 % (186103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.30 % (186103)CaDiCaL version: 2.1.3
% 0.32/0.30 % (186103)Termination reason: Instruction limit
% 0.32/0.30 % (186103)Termination phase: shuffling
% 0.32/0.30 % (186103)Time elapsed: 0.002 s
% 0.32/0.30 % (186103)Peak memory usage: 10 MB
% 0.32/0.30 % (186103)Instructions burned: 10 (million)
% 0.32/0.30 % (186108)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.32/0.30 % (186108)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.30 % (186087)Instruction limit reached!
% 0.32/0.30 % (186087)------------------------------
% 0.32/0.30 % (186087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.30 % (186087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.30 % (186087)CaDiCaL version: 2.1.3
% 0.32/0.30 % (186087)Termination reason: Instruction limit
% 0.32/0.30 % (186087)Termination phase: Preprocessing 3
% 0.32/0.30 % (186087)Time elapsed: 0.024 s
% 0.32/0.30 % (186087)Peak memory usage: 12 MB
% 0.32/0.30 % (186087)Instructions burned: 87 (million)
% 0.32/0.30 % (186105)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3953644834:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.32/0.30 % (186108)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1094331408:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.32/0.30 % (186110)lrs+10_1_si=on:cs=on:random_seed=4124424621:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.32/0.30 % (186109)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=296496958:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.32/0.30 % (186110)Instruction limit reached!
% 0.32/0.30 % (186110)------------------------------
% 0.32/0.30 % (186110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.30 % (186110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.30 % (186110)CaDiCaL version: 2.1.3
% 0.32/0.30 % (186110)Termination reason: Instruction limit
% 0.32/0.30 % (186110)Termination phase: shuffling
% 0.32/0.30 % (186110)Time elapsed: 0.002 s
% 0.32/0.30 % (186110)Peak memory usage: 10 MB
% 0.32/0.30 % (186110)Instructions burned: 9 (million)
% 0.32/0.30 % (186105)Instruction limit reached!
% 0.32/0.30 % (186105)------------------------------
% 0.32/0.30 % (186105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.32 % (186105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.32 % (186105)CaDiCaL version: 2.1.3
% 0.32/0.32 % (186105)Termination reason: Instruction limit
% 0.32/0.32 % (186105)Termination phase: shuffling
% 0.32/0.32 % (186105)Time elapsed: 0.006 s
% 0.32/0.32 % (186105)Peak memory usage: 10 MB
% 0.32/0.32 % (186105)Instructions burned: 12 (million)
% 0.32/0.32 % (186093)Instruction limit reached!
% 0.32/0.32 % (186093)------------------------------
% 0.32/0.32 % (186093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.32 % (186093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.32 % (186093)CaDiCaL version: 2.1.3
% 0.32/0.32 % (186093)Termination reason: Instruction limit
% 0.32/0.32 % (186093)Termination phase: Twee Goal Transformation
% 0.32/0.32 % (186093)Time elapsed: 0.035 s
% 0.32/0.32 % (186093)Peak memory usage: 12 MB
% 0.32/0.32 % (186093)Instructions burned: 157 (million)
% 0.32/0.32 % (186108)Instruction limit reached!
% 0.32/0.32 % (186108)------------------------------
% 0.32/0.32 % (186108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.32 % (186108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.32 % (186108)CaDiCaL version: 2.1.3
% 0.32/0.32 % (186108)Termination reason: Instruction limit
% 0.32/0.32 % (186108)Termination phase: shuffling
% 0.32/0.32 % (186108)Time elapsed: 0.007 s
% 0.32/0.32 % (186108)Peak memory usage: 11 MB
% 0.32/0.32 % (186108)Instructions burned: 32 (million)
% 0.32/0.32 % (186111)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.32/0.32 % (186111)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=1289899897:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.32 % (186111)Instruction limit reached!
% 0.32/0.32 % (186111)------------------------------
% 0.32/0.32 % (186111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.32 % (186111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.32 % (186111)CaDiCaL version: 2.1.3
% 0.32/0.32 % (186111)Termination reason: Instruction limit
% 0.32/0.32 % (186111)Termination phase: shuffling
% 0.32/0.32 % (186111)Time elapsed: 0.003 s
% 0.32/0.32 % (186111)Peak memory usage: 10 MB
% 0.32/0.32 % (186111)Instructions burned: 9 (million)
% 0.32/0.32 % (186116)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=489065197:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.32/0.32 % (186117)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=201487484:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.32/0.32 % (186119)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2099357615:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.32/0.32 % (186119)Instruction limit reached!
% 0.32/0.32 % (186119)------------------------------
% 0.32/0.32 % (186119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.32 % (186119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.32 % (186119)CaDiCaL version: 2.1.3
% 0.32/0.32 % (186119)Termination reason: Instruction limit
% 0.32/0.32 % (186119)Termination phase: shuffling
% 0.32/0.32 % (186119)Time elapsed: 0.003 s
% 0.32/0.32 % (186119)Peak memory usage: 10 MB
% 0.32/0.32 % (186119)Instructions burned: 15 (million)
% 0.32/0.32 % (186118)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1656417685:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.32/0.32 % (186116)Instruction limit reached!
% 0.32/0.32 % (186116)------------------------------
% 0.32/0.32 % (186116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.32 % (186116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.32 % (186116)CaDiCaL version: 2.1.3
% 0.32/0.32 % (186116)Termination reason: Instruction limit
% 0.32/0.32 % (186116)Termination phase: Property scanning
% 0.32/0.32 % (186116)Time elapsed: 0.010 s
% 0.32/0.32 % (186116)Peak memory usage: 11 MB
% 0.32/0.32 % (186116)Instructions burned: 42 (million)
% 0.32/0.32 % (186109)Instruction limit reached!
% 0.32/0.32 % (186109)------------------------------
% 1.07/0.39 % (186109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.39 % (186109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.39 % (186109)CaDiCaL version: 2.1.3
% 1.07/0.39 % (186109)Termination reason: Instruction limit
% 1.07/0.39 % (186109)Termination phase: Property scanning
% 1.07/0.39 % (186109)Time elapsed: 0.023 s
% 1.07/0.39 % (186109)Peak memory usage: 11 MB
% 1.07/0.39 % (186109)Instructions burned: 91 (million)
% 1.07/0.39 % (186123)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2486295827:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 1.07/0.39 % (186125)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=20695845:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 1.07/0.39 % (186118)Instruction limit reached!
% 1.07/0.39 % (186118)------------------------------
% 1.07/0.39 % (186118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.39 % (186118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.39 % (186118)CaDiCaL version: 2.1.3
% 1.07/0.39 % (186118)Termination reason: Instruction limit
% 1.07/0.39 % (186118)Termination phase: shuffling
% 1.07/0.39 % (186118)Time elapsed: 0.010 s
% 1.07/0.39 % (186118)Peak memory usage: 11 MB
% 1.07/0.39 % (186118)Instructions burned: 28 (million)
% 1.07/0.39 % (186125)Instruction limit reached!
% 1.07/0.39 % (186125)------------------------------
% 1.07/0.39 % (186125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.39 % (186125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.39 % (186125)CaDiCaL version: 2.1.3
% 1.07/0.39 % (186125)Termination reason: Instruction limit
% 1.07/0.39 % (186125)Termination phase: shuffling
% 1.07/0.39 % (186125)Time elapsed: 0.004 s
% 1.07/0.39 % (186125)Peak memory usage: 10 MB
% 1.07/0.39 % (186125)Instructions burned: 15 (million)
% 1.07/0.39 % (186127)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3737003997:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.07/0.39 % (186128)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3651640273:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 1.07/0.39 % (186127)Instruction limit reached!
% 1.07/0.39 % (186127)------------------------------
% 1.07/0.39 % (186127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.39 % (186127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.39 % (186127)CaDiCaL version: 2.1.3
% 1.07/0.39 % (186127)Termination reason: Instruction limit
% 1.07/0.39 % (186127)Termination phase: shuffling
% 1.07/0.39 % (186127)Time elapsed: 0.003 s
% 1.07/0.39 % (186127)Peak memory usage: 10 MB
% 1.07/0.39 % (186127)Instructions burned: 11 (million)
% 1.07/0.39 % (186131)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=55201158:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.07/0.39 % (186128)Instruction limit reached!
% 1.07/0.39 % (186128)------------------------------
% 1.07/0.39 % (186128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.39 % (186128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.39 % (186128)CaDiCaL version: 2.1.3
% 1.07/0.39 % (186128)Termination reason: Instruction limit
% 1.07/0.39 % (186128)Termination phase: shuffling
% 1.07/0.39 % (186128)Time elapsed: 0.007 s
% 1.07/0.39 % (186128)Peak memory usage: 11 MB
% 1.07/0.39 % (186128)Instructions burned: 29 (million)
% 1.07/0.39 % (186131)Instruction limit reached!
% 1.07/0.39 % (186131)------------------------------
% 1.07/0.39 % (186131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.39 % (186131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.39 % (186131)CaDiCaL version: 2.1.3
% 1.07/0.39 % (186131)Termination reason: Instruction limit
% 1.07/0.39 % (186131)Termination phase: shuffling
% 1.07/0.39 % (186131)Time elapsed: 0.006 s
% 1.07/0.39 % (186131)Peak memory usage: 11 MB
% 1.07/0.39 % (186131)Instructions burned: 25 (million)
% 1.07/0.39 % (186132)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1140302315:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.07/0.39 % (186137)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.07/0.42 % (186135)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
% 1.07/0.42 % (186135)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.07/0.42 % (186137)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=1649492640:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.07/0.42 % (186135)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=120009674:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.42 % (186137)Instruction limit reached!
% 1.07/0.42 % (186137)------------------------------
% 1.07/0.42 % (186137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.42 % (186137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.42 % (186137)CaDiCaL version: 2.1.3
% 1.07/0.42 % (186137)Termination reason: Instruction limit
% 1.07/0.42 % (186137)Termination phase: shuffling
% 1.07/0.42 % (186137)Time elapsed: 0.003 s
% 1.07/0.42 % (186137)Peak memory usage: 10 MB
% 1.07/0.42 % (186137)Instructions burned: 12 (million)
% 1.07/0.42 % (186138)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=1076914178:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.07/0.42 % (186135)Instruction limit reached!
% 1.07/0.42 % (186135)------------------------------
% 1.07/0.42 % (186135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.42 % (186135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.42 % (186135)CaDiCaL version: 2.1.3
% 1.07/0.42 % (186135)Termination reason: Instruction limit
% 1.07/0.42 % (186135)Termination phase: shuffling
% 1.07/0.42 % (186135)Time elapsed: 0.004 s
% 1.07/0.42 % (186135)Peak memory usage: 10 MB
% 1.07/0.42 % (186135)Instructions burned: 17 (million)
% 1.07/0.42 % (186132)Instruction limit reached!
% 1.07/0.42 % (186132)------------------------------
% 1.07/0.42 % (186132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.42 % (186132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.42 % (186132)CaDiCaL version: 2.1.3
% 1.07/0.42 % (186132)Termination reason: Instruction limit
% 1.07/0.42 % (186132)Termination phase: Preprocessing 2
% 1.07/0.42 % (186132)Time elapsed: 0.014 s
% 1.07/0.42 % (186132)Peak memory usage: 11 MB
% 1.07/0.42 % (186132)Instructions burned: 61 (million)
% 1.07/0.42 % (186138)Instruction limit reached!
% 1.07/0.42 % (186138)------------------------------
% 1.07/0.42 % (186138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.42 % (186138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.42 % (186138)CaDiCaL version: 2.1.3
% 1.07/0.42 % (186138)Termination reason: Instruction limit
% 1.07/0.42 % (186138)Termination phase: shuffling
% 1.07/0.42 % (186138)Time elapsed: 0.008 s
% 1.07/0.42 % (186138)Peak memory usage: 11 MB
% 1.07/0.42 % (186138)Instructions burned: 33 (million)
% 1.07/0.42 % (186142)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=783227696:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.07/0.42 % (186117)Instruction limit reached!
% 1.07/0.42 % (186117)------------------------------
% 1.07/0.42 % (186117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.42 % (186117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.42 % (186117)CaDiCaL version: 2.1.3
% 1.07/0.42 % (186117)Termination reason: Instruction limit
% 1.07/0.42 % (186117)Termination phase: Saturation
% 1.07/0.42 % (186117)Time elapsed: 0.056 s
% 1.07/0.42 % (186117)Peak memory usage: 14 MB
% 1.07/0.42 % (186117)Instructions burned: 250 (million)
% 1.07/0.42 % (186144)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2686197326:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.07/0.42 % (186142)Instruction limit reached!
% 1.07/0.42 % (186142)------------------------------
% 1.07/0.46 % (186142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.46 % (186142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.46 % (186142)CaDiCaL version: 2.1.3
% 1.07/0.46 % (186142)Termination reason: Instruction limit
% 1.07/0.46 % (186142)Termination phase: shuffling
% 1.07/0.46 % (186142)Time elapsed: 0.003 s
% 1.07/0.46 % (186142)Peak memory usage: 10 MB
% 1.07/0.46 % (186142)Instructions burned: 11 (million)
% 1.07/0.46 % (186145)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4247360360:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.07/0.46 % (186149)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2493130560:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.07/0.46 % (186146)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2062448782:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.07/0.46 % (186144)Instruction limit reached!
% 1.07/0.46 % (186144)------------------------------
% 1.07/0.46 % (186144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.46 % (186144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.46 % (186144)CaDiCaL version: 2.1.3
% 1.07/0.46 % (186144)Termination reason: Instruction limit
% 1.07/0.46 % (186144)Termination phase: shuffling
% 1.07/0.46 % (186144)Time elapsed: 0.012 s
% 1.07/0.46 % (186144)Peak memory usage: 11 MB
% 1.07/0.46 % (186144)Instructions burned: 23 (million)
% 1.07/0.46 % (186150)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2346254844:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.07/0.46 % (186145)Instruction limit reached!
% 1.07/0.46 % (186145)------------------------------
% 1.07/0.46 % (186145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.46 % (186145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.46 % (186145)CaDiCaL version: 2.1.3
% 1.07/0.46 % (186145)Termination reason: Instruction limit
% 1.07/0.46 % (186145)Termination phase: shuffling
% 1.07/0.46 % (186145)Time elapsed: 0.006 s
% 1.07/0.46 % (186145)Peak memory usage: 10 MB
% 1.07/0.46 % (186145)Instructions burned: 23 (million)
% 1.07/0.46 % (186156)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.46 % (186155)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3691154570:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.07/0.46 % (186156)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3321498332:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.07/0.46 % (186150)Instruction limit reached!
% 1.07/0.46 % (186150)------------------------------
% 1.07/0.46 % (186150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.46 % (186150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.46 % (186150)CaDiCaL version: 2.1.3
% 1.07/0.46 % (186150)Termination reason: Instruction limit
% 1.07/0.46 % (186150)Termination phase: Property scanning
% 1.07/0.46 % (186150)Time elapsed: 0.045 s
% 1.07/0.46 % (186150)Peak memory usage: 13 MB
% 1.07/0.46 % (186150)Instructions burned: 196 (million)
% 1.07/0.46 % (186156)Instruction limit reached!
% 1.07/0.46 % (186156)------------------------------
% 1.07/0.46 % (186156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.46 % (186156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.46 % (186156)CaDiCaL version: 2.1.3
% 1.07/0.46 % (186156)Termination reason: Instruction limit
% 1.07/0.46 % (186156)Termination phase: shuffling
% 1.07/0.46 % (186156)Time elapsed: 0.010 s
% 1.07/0.46 % (186156)Peak memory usage: 10 MB
% 1.07/0.46 % (186156)Instructions burned: 10 (million)
% 1.07/0.46 % (186155)Instruction limit reached!
% 1.07/0.46 % (186155)------------------------------
% 1.07/0.46 % (186155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.46 % (186155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.46 % (186155)CaDiCaL version: 2.1.3
% 1.07/0.46 % (186155)Termination reason: Instruction limit
% 1.07/0.46 % (186155)Termination phase: shuffling
% 1.07/0.46 % (186155)Time elapsed: 0.020 s
% 1.71/0.53 % (186155)Peak memory usage: 11 MB
% 1.71/0.53 % (186155)Instructions burned: 46 (million)
% 1.71/0.53 % (186123)Instruction limit reached!
% 1.71/0.53 % (186123)------------------------------
% 1.71/0.53 % (186123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.53 % (186123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.53 % (186123)CaDiCaL version: 2.1.3
% 1.71/0.53 % (186123)Termination reason: Instruction limit
% 1.71/0.53 % (186123)Termination phase: Saturation
% 1.71/0.53 % (186123)Time elapsed: 0.113 s
% 1.71/0.53 % (186123)Peak memory usage: 15 MB
% 1.71/0.53 % (186123)Instructions burned: 327 (million)
% 1.71/0.53 % (186159)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1437520704:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.71/0.53 % (186160)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=3747822736:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.71/0.53 % (186161)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.71/0.53 % (186161)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1061995908:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.71/0.53 % (186162)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2465116554:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.71/0.53 % (186161)Instruction limit reached!
% 1.71/0.53 % (186161)------------------------------
% 1.71/0.53 % (186161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.53 % (186161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.53 % (186161)CaDiCaL version: 2.1.3
% 1.71/0.53 % (186161)Termination reason: Instruction limit
% 1.71/0.53 % (186161)Termination phase: shuffling
% 1.71/0.53 % (186161)Time elapsed: 0.004 s
% 1.71/0.53 % (186161)Peak memory usage: 10 MB
% 1.71/0.53 % (186161)Instructions burned: 15 (million)
% 1.71/0.53 % (186162)Instruction limit reached!
% 1.71/0.53 % (186162)------------------------------
% 1.71/0.53 % (186162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.53 % (186162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.53 % (186162)CaDiCaL version: 2.1.3
% 1.71/0.53 % (186162)Termination reason: Instruction limit
% 1.71/0.53 % (186162)Termination phase: shuffling
% 1.71/0.53 % (186162)Time elapsed: 0.005 s
% 1.71/0.53 % (186162)Peak memory usage: 10 MB
% 1.71/0.53 % (186162)Instructions burned: 23 (million)
% 1.71/0.53 % (186149)Instruction limit reached!
% 1.71/0.53 % (186149)------------------------------
% 1.71/0.53 % (186149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.53 % (186149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.53 % (186149)CaDiCaL version: 2.1.3
% 1.71/0.53 % (186149)Termination reason: Instruction limit
% 1.71/0.53 % (186149)Termination phase: Twee Goal Transformation
% 1.71/0.53 % (186149)Time elapsed: 0.080 s
% 1.71/0.53 % (186149)Peak memory usage: 12 MB
% 1.71/0.53 % (186149)Instructions burned: 151 (million)
% 1.71/0.53 % (186167)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1277337634:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.71/0.53 % (186167)Instruction limit reached!
% 1.71/0.53 % (186167)------------------------------
% 1.71/0.53 % (186167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.53 % (186167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.53 % (186167)CaDiCaL version: 2.1.3
% 1.71/0.53 % (186167)Termination reason: Instruction limit
% 1.71/0.53 % (186167)Termination phase: shuffling
% 1.71/0.53 % (186167)Time elapsed: 0.005 s
% 1.71/0.53 % (186167)Peak memory usage: 10 MB
% 1.71/0.53 % (186167)Instructions burned: 20 (million)
% 1.71/0.53 % (186169)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=1294251432:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 1.71/0.53 % (186168)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=2376156451:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.63/0.62 % (186171)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=1180339544:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.63/0.62 % (186090)Instruction limit reached!
% 2.63/0.62 % (186090)------------------------------
% 2.63/0.62 % (186090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.62 % (186090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.62 % (186090)CaDiCaL version: 2.1.3
% 2.63/0.62 % (186090)Termination reason: Instruction limit
% 2.63/0.62 % (186090)Termination phase: Saturation
% 2.63/0.62 % (186090)Time elapsed: 0.211 s
% 2.63/0.62 % (186090)Peak memory usage: 22 MB
% 2.63/0.62 % (186090)Instructions burned: 637 (million)
% 2.63/0.62 % (186160)Instruction limit reached!
% 2.63/0.62 % (186160)------------------------------
% 2.63/0.62 % (186160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.62 % (186160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.62 % (186160)CaDiCaL version: 2.1.3
% 2.63/0.62 % (186160)Termination reason: Instruction limit
% 2.63/0.62 % (186160)Termination phase: Property scanning
% 2.63/0.62 % (186160)Time elapsed: 0.045 s
% 2.63/0.62 % (186160)Peak memory usage: 13 MB
% 2.63/0.62 % (186160)Instructions burned: 173 (million)
% 2.63/0.62 % (186159)Instruction limit reached!
% 2.63/0.62 % (186159)------------------------------
% 2.63/0.62 % (186159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.62 % (186159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.62 % (186159)CaDiCaL version: 2.1.3
% 2.63/0.62 % (186159)Termination reason: Instruction limit
% 2.63/0.62 % (186159)Termination phase: Property scanning
% 2.63/0.62 % (186159)Time elapsed: 0.048 s
% 2.63/0.62 % (186159)Peak memory usage: 12 MB
% 2.63/0.62 % (186159)Instructions burned: 182 (million)
% 2.63/0.62 % (186171)Instruction limit reached!
% 2.63/0.62 % (186171)------------------------------
% 2.63/0.62 % (186171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.62 % (186171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.62 % (186171)CaDiCaL version: 2.1.3
% 2.63/0.62 % (186171)Termination reason: Instruction limit
% 2.63/0.62 % (186171)Termination phase: shuffling
% 2.63/0.62 % (186171)Time elapsed: 0.011 s
% 2.63/0.62 % (186171)Peak memory usage: 11 MB
% 2.63/0.62 % (186171)Instructions burned: 48 (million)
% 2.63/0.62 % (186177)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.63/0.62 % (186176)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2881519841:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.63/0.62 % (186177)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1166110732:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.63/0.62 % (186178)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2274803436:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.63/0.62 % (186175)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1841481738:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.63/0.62 % (186178)Instruction limit reached!
% 2.63/0.62 % (186178)------------------------------
% 2.63/0.62 % (186178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.62 % (186178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.62 % (186178)CaDiCaL version: 2.1.3
% 2.63/0.62 % (186178)Termination reason: Instruction limit
% 2.63/0.62 % (186178)Termination phase: shuffling
% 2.63/0.62 % (186178)Time elapsed: 0.003 s
% 2.63/0.62 % (186178)Peak memory usage: 10 MB
% 2.63/0.62 % (186178)Instructions burned: 14 (million)
% 2.63/0.62 % (186176)Instruction limit reached!
% 2.63/0.62 % (186176)------------------------------
% 2.63/0.62 % (186176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.62 % (186176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.69 % (186176)CaDiCaL version: 2.1.3
% 2.63/0.69 % (186176)Termination reason: Instruction limit
% 2.63/0.69 % (186176)Termination phase: shuffling
% 2.63/0.69 % (186176)Time elapsed: 0.006 s
% 2.63/0.69 % (186176)Peak memory usage: 11 MB
% 2.63/0.69 % (186176)Instructions burned: 25 (million)
% 2.63/0.69 % (186183)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=4137443234:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.63/0.69 % (186184)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1461452036:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.63/0.69 % (186183)Instruction limit reached!
% 2.63/0.69 % (186183)------------------------------
% 2.63/0.69 % (186183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.69 % (186183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.69 % (186183)CaDiCaL version: 2.1.3
% 2.63/0.69 % (186183)Termination reason: Instruction limit
% 2.63/0.69 % (186183)Termination phase: Property scanning
% 2.63/0.69 % (186183)Time elapsed: 0.016 s
% 2.63/0.69 % (186183)Peak memory usage: 11 MB
% 2.63/0.69 % (186183)Instructions burned: 68 (million)
% 2.63/0.69 % (186184)Instruction limit reached!
% 2.63/0.69 % (186184)------------------------------
% 2.63/0.69 % (186184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.69 % (186184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.69 % (186184)CaDiCaL version: 2.1.3
% 2.63/0.69 % (186184)Termination reason: Instruction limit
% 2.63/0.69 % (186184)Termination phase: Property scanning
% 2.63/0.69 % (186184)Time elapsed: 0.015 s
% 2.63/0.69 % (186184)Peak memory usage: 11 MB
% 2.63/0.69 % (186184)Instructions burned: 51 (million)
% 2.63/0.69 % (186187)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2403904873:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.63/0.69 % (186188)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1990558245:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.63/0.69 % (186187)Instruction limit reached!
% 2.63/0.69 % (186187)------------------------------
% 2.63/0.69 % (186187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.69 % (186187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.69 % (186187)CaDiCaL version: 2.1.3
% 2.63/0.69 % (186187)Termination reason: Instruction limit
% 2.63/0.69 % (186187)Termination phase: shuffling
% 2.63/0.69 % (186187)Time elapsed: 0.008 s
% 2.63/0.69 % (186187)Peak memory usage: 11 MB
% 2.63/0.69 % (186187)Instructions burned: 32 (million)
% 2.63/0.69 % (186191)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=2914933942:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.63/0.69 % (186177)Instruction limit reached!
% 2.63/0.69 % (186177)------------------------------
% 2.63/0.69 % (186177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.69 % (186177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.69 % (186177)CaDiCaL version: 2.1.3
% 2.63/0.69 % (186177)Termination reason: Instruction limit
% 2.63/0.69 % (186177)Termination phase: Saturation
% 2.63/0.69 % (186177)Time elapsed: 0.073 s
% 2.63/0.69 % (186177)Peak memory usage: 14 MB
% 2.63/0.69 % (186177)Instructions burned: 204 (million)
% 2.63/0.69 % (186191)Instruction limit reached!
% 2.63/0.69 % (186191)------------------------------
% 2.63/0.69 % (186191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.69 % (186191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.69 % (186191)CaDiCaL version: 2.1.3
% 2.63/0.69 % (186191)Termination reason: Instruction limit
% 2.63/0.69 % (186191)Termination phase: shuffling
% 2.63/0.69 % (186191)Time elapsed: 0.008 s
% 2.63/0.69 % (186191)Peak memory usage: 11 MB
% 2.63/0.69 % (186191)Instructions burned: 34 (million)
% 2.63/0.69 % (186168)Instruction limit reached!
% 2.63/0.69 % (186168)------------------------------
% 2.63/0.69 % (186168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.69 % (186168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.80 % (186168)CaDiCaL version: 2.1.3
% 3.29/0.80 % (186168)Termination reason: Instruction limit
% 3.29/0.80 % (186168)Termination phase: Saturation
% 3.29/0.80 % (186168)Time elapsed: 0.110 s
% 3.29/0.80 % (186168)Peak memory usage: 16 MB
% 3.29/0.80 % (186168)Instructions burned: 318 (million)
% 3.29/0.80 % (186188)Instruction limit reached!
% 3.29/0.80 % (186188)------------------------------
% 3.29/0.80 % (186188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.80 % (186188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.80 % (186188)CaDiCaL version: 2.1.3
% 3.29/0.80 % (186188)Termination reason: Instruction limit
% 3.29/0.80 % (186188)Termination phase: Twee Goal Transformation
% 3.29/0.80 % (186188)Time elapsed: 0.039 s
% 3.29/0.80 % (186188)Peak memory usage: 12 MB
% 3.29/0.80 % (186188)Instructions burned: 137 (million)
% 3.29/0.80 % (186193)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3126735107:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.29/0.80 % (186194)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.29/0.80 % (186194)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1194664764:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.29/0.80 % (186197)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1480341255:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.29/0.80 % (186193)Instruction limit reached!
% 3.29/0.80 % (186193)------------------------------
% 3.29/0.80 % (186193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.80 % (186193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.80 % (186193)CaDiCaL version: 2.1.3
% 3.29/0.80 % (186193)Termination reason: Instruction limit
% 3.29/0.80 % (186193)Termination phase: Property scanning
% 3.29/0.80 % (186193)Time elapsed: 0.016 s
% 3.29/0.80 % (186193)Peak memory usage: 11 MB
% 3.29/0.80 % (186193)Instructions burned: 67 (million)
% 3.29/0.80 % (186195)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1194053077:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.29/0.80 % (186200)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2312520974:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 3.29/0.80 % (186197)Instruction limit reached!
% 3.29/0.80 % (186197)------------------------------
% 3.29/0.80 % (186197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.80 % (186197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.80 % (186197)CaDiCaL version: 2.1.3
% 3.29/0.80 % (186197)Termination reason: Instruction limit
% 3.29/0.80 % (186197)Termination phase: Property scanning
% 3.29/0.80 % (186197)Time elapsed: 0.029 s
% 3.29/0.80 % (186197)Peak memory usage: 12 MB
% 3.29/0.80 % (186197)Instructions burned: 96 (million)
% 3.29/0.80 % (186203)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4206860313:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.29/0.80 % (186194)Instruction limit reached!
% 3.29/0.80 % (186194)------------------------------
% 3.29/0.80 % (186194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.80 % (186194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.80 % (186194)CaDiCaL version: 2.1.3
% 3.29/0.80 % (186194)Termination reason: Instruction limit
% 3.29/0.80 % (186194)Termination phase: Property scanning
% 3.29/0.80 % (186194)Time elapsed: 0.057 s
% 3.29/0.80 % (186194)Peak memory usage: 12 MB
% 3.29/0.80 % (186194)Instructions burned: 185 (million)
% 3.29/0.80 % (186205)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=544579391:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.29/0.80 % (186195)Instruction limit reached!
% 3.29/0.80 % (186195)------------------------------
% 3.29/0.80 % (186195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.80 % (186195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.80 % (186195)CaDiCaL version: 2.1.3
% 3.29/0.80 % (186195)Termination reason: Instruction limit
% 3.29/0.80 % (186195)Termination phase: Saturation
% 3.29/0.80 % (186195)Time elapsed: 0.066 s
% 3.29/0.80 % (186195)Peak memory usage: 14 MB
% 3.29/0.80 % (186195)Instructions burned: 250 (million)
% 3.29/0.85 % (186146)Instruction limit reached!
% 3.29/0.85 % (186146)------------------------------
% 3.29/0.85 % (186146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.85 % (186146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.85 % (186146)CaDiCaL version: 2.1.3
% 3.29/0.85 % (186146)Termination reason: Instruction limit
% 3.29/0.85 % (186146)Termination phase: Saturation
% 3.29/0.85 % (186146)Time elapsed: 0.302 s
% 3.29/0.85 % (186146)Peak memory usage: 19 MB
% 3.29/0.85 % (186146)Instructions burned: 1243 (million)
% 3.29/0.85 % (186207)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1208128615:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.29/0.85 % (186208)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4219914990:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.29/0.85 % (186208)Instruction limit reached!
% 3.29/0.85 % (186208)------------------------------
% 3.29/0.85 % (186208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.85 % (186208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.85 % (186208)CaDiCaL version: 2.1.3
% 3.29/0.85 % (186208)Termination reason: Instruction limit
% 3.29/0.85 % (186208)Termination phase: shuffling
% 3.29/0.85 % (186208)Time elapsed: 0.011 s
% 3.29/0.85 % (186208)Peak memory usage: 11 MB
% 3.29/0.85 % (186208)Instructions burned: 48 (million)
% 3.29/0.85 % (186169)Instruction limit reached!
% 3.29/0.85 % (186169)------------------------------
% 3.29/0.85 % (186169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.85 % (186169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.85 % (186169)CaDiCaL version: 2.1.3
% 3.29/0.85 % (186169)Termination reason: Instruction limit
% 3.29/0.85 % (186169)Termination phase: Saturation
% 3.29/0.85 % (186169)Time elapsed: 0.240 s
% 3.29/0.85 % (186169)Peak memory usage: 24 MB
% 3.29/0.85 % (186169)Instructions burned: 855 (million)
% 3.29/0.85 % (186175)Instruction limit reached!
% 3.29/0.85 % (186175)------------------------------
% 3.29/0.85 % (186175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.85 % (186175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.85 % (186175)CaDiCaL version: 2.1.3
% 3.29/0.85 % (186175)Termination reason: Instruction limit
% 3.29/0.85 % (186175)Termination phase: Saturation
% 3.29/0.85 % (186175)Time elapsed: 0.207 s
% 3.29/0.85 % (186175)Peak memory usage: 19 MB
% 3.29/0.85 % (186175)Instructions burned: 480 (million)
% 3.29/0.85 % (186211)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1662537489:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.29/0.85 % (186207)Instruction limit reached!
% 3.29/0.85 % (186207)------------------------------
% 3.29/0.85 % (186207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.85 % (186207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.85 % (186207)CaDiCaL version: 2.1.3
% 3.29/0.85 % (186207)Termination reason: Instruction limit
% 3.29/0.85 % (186207)Termination phase: Property scanning
% 3.29/0.85 % (186207)Time elapsed: 0.029 s
% 3.29/0.85 % (186207)Peak memory usage: 12 MB
% 3.29/0.85 % (186207)Instructions burned: 134 (million)
% 3.29/0.85 % (186212)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3692305085:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.29/0.85 % (186213)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2706237515:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.29/0.85 % (186215)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=1529547793:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.29/0.85 % (186200)Instruction limit reached!
% 3.29/0.85 % (186200)------------------------------
% 3.29/0.85 % (186200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.85 % (186200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.85 % (186200)CaDiCaL version: 2.1.3
% 3.29/0.85 % (186200)Termination reason: Instruction limit
% 3.29/0.85 % (186200)Termination phase: Saturation
% 3.29/0.85 % (186200)Time elapsed: 0.117 s
% 4.11/0.94 % (186200)Peak memory usage: 17 MB
% 4.11/0.94 % (186200)Instructions burned: 427 (million)
% 4.11/0.94 % (186215)Instruction limit reached!
% 4.11/0.94 % (186215)------------------------------
% 4.11/0.94 % (186215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.11/0.94 % (186215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/0.94 % (186215)CaDiCaL version: 2.1.3
% 4.11/0.94 % (186215)Termination reason: Instruction limit
% 4.11/0.94 % (186215)Termination phase: Property scanning
% 4.11/0.94 % (186215)Time elapsed: 0.024 s
% 4.11/0.94 % (186215)Peak memory usage: 11 MB
% 4.11/0.94 % (186215)Instructions burned: 65 (million)
% 4.11/0.94 % (186213)Instruction limit reached!
% 4.11/0.94 % (186213)------------------------------
% 4.11/0.94 % (186213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.11/0.94 % (186213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/0.94 % (186213)CaDiCaL version: 2.1.3
% 4.11/0.94 % (186213)Termination reason: Instruction limit
% 4.11/0.94 % (186213)Termination phase: Property scanning
% 4.11/0.94 % (186213)Time elapsed: 0.027 s
% 4.11/0.94 % (186213)Peak memory usage: 12 MB
% 4.11/0.94 % (186213)Instructions burned: 97 (million)
% 4.11/0.94 % (186219)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=243001530: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_2994 on theBenchmark for (2994ds/105Mi)
% 4.11/0.94 % (186221)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3576492783:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 4.11/0.94 % (186220)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=4160627456:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 4.11/0.94 % (186219)Instruction limit reached!
% 4.11/0.94 % (186219)------------------------------
% 4.11/0.94 % (186219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.11/0.94 % (186219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/0.94 % (186219)CaDiCaL version: 2.1.3
% 4.11/0.94 % (186219)Termination reason: Instruction limit
% 4.11/0.94 % (186219)Termination phase: SInE selection
% 4.11/0.94 % (186219)Time elapsed: 0.024 s
% 4.11/0.94 % (186219)Peak memory usage: 12 MB
% 4.11/0.94 % (186219)Instructions burned: 108 (million)
% 4.11/0.94 % (186205)Instruction limit reached!
% 4.11/0.94 % (186205)------------------------------
% 4.11/0.94 % (186205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.11/0.94 % (186205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/0.94 % (186205)CaDiCaL version: 2.1.3
% 4.11/0.94 % (186205)Termination reason: Instruction limit
% 4.11/0.94 % (186205)Termination phase: Saturation
% 4.11/0.94 % (186205)Time elapsed: 0.126 s
% 4.11/0.94 % (186205)Peak memory usage: 17 MB
% 4.11/0.94 % (186205)Instructions burned: 516 (million)
% 4.11/0.94 % (186226)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2707761854:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 4.11/0.94 % (186227)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=3933033209:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 4.11/0.94 % (186227)Instruction limit reached!
% 4.11/0.94 % (186227)------------------------------
% 4.11/0.94 % (186227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.11/0.94 % (186227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/0.94 % (186227)CaDiCaL version: 2.1.3
% 4.11/0.94 % (186227)Termination reason: Instruction limit
% 4.11/0.94 % (186227)Termination phase: shuffling
% 4.11/0.94 % (186227)Time elapsed: 0.009 s
% 4.11/0.94 % (186227)Peak memory usage: 11 MB
% 4.11/0.94 % (186227)Instructions burned: 39 (million)
% 4.11/0.94 % (186234)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1171242828:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 4.11/0.94 % (186234)Instruction limit reached!
% 4.11/0.94 % (186234)------------------------------
% 5.60/1.05 % (186234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.05 % (186234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.05 % (186234)CaDiCaL version: 2.1.3
% 5.60/1.05 % (186234)Termination reason: Instruction limit
% 5.60/1.05 % (186234)Termination phase: SInE selection
% 5.60/1.05 % (186234)Time elapsed: 0.022 s
% 5.60/1.05 % (186234)Peak memory usage: 12 MB
% 5.60/1.05 % (186234)Instructions burned: 95 (million)
% 5.60/1.05 % (186212)Instruction limit reached!
% 5.60/1.05 % (186212)------------------------------
% 5.60/1.05 % (186212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.05 % (186212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.05 % (186212)CaDiCaL version: 2.1.3
% 5.60/1.05 % (186212)Termination reason: Instruction limit
% 5.60/1.05 % (186212)Termination phase: Saturation
% 5.60/1.05 % (186212)Time elapsed: 0.121 s
% 5.60/1.05 % (186212)Peak memory usage: 19 MB
% 5.60/1.05 % (186212)Instructions burned: 451 (million)
% 5.60/1.05 % (186236)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3049167691:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2993 on theBenchmark for (2993ds/66Mi)
% 5.60/1.05 % (186237)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2403209270:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.60/1.05 % (186237)Instruction limit reached!
% 5.60/1.05 % (186237)------------------------------
% 5.60/1.05 % (186237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.05 % (186237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.05 % (186237)CaDiCaL version: 2.1.3
% 5.60/1.05 % (186237)Termination reason: Instruction limit
% 5.60/1.05 % (186237)Termination phase: shuffling
% 5.60/1.05 % (186237)Time elapsed: 0.006 s
% 5.60/1.05 % (186237)Peak memory usage: 11 MB
% 5.60/1.05 % (186237)Instructions burned: 25 (million)
% 5.60/1.05 % (186236)Instruction limit reached!
% 5.60/1.05 % (186236)------------------------------
% 5.60/1.05 % (186236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.05 % (186236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.05 % (186236)CaDiCaL version: 2.1.3
% 5.60/1.05 % (186236)Termination reason: Instruction limit
% 5.60/1.05 % (186236)Termination phase: Preprocessing 1
% 5.60/1.05 % (186236)Time elapsed: 0.016 s
% 5.60/1.05 % (186236)Peak memory usage: 11 MB
% 5.60/1.05 % (186236)Instructions burned: 67 (million)
% 5.60/1.05 % (186240)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=1613261327:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 5.60/1.05 % (186221)Instruction limit reached!
% 5.60/1.05 % (186221)------------------------------
% 5.60/1.05 % (186221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.05 % (186221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.05 % (186221)CaDiCaL version: 2.1.3
% 5.60/1.05 % (186221)Termination reason: Instruction limit
% 5.60/1.05 % (186221)Termination phase: Saturation
% 5.60/1.05 % (186221)Time elapsed: 0.105 s
% 5.60/1.05 % (186221)Peak memory usage: 16 MB
% 5.60/1.05 % (186221)Instructions burned: 377 (million)
% 5.60/1.05 % (186244)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.60/1.05 % (186241)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3602442518:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 5.60/1.05 % (186244)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3496448887:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.60/1.05 % (186241)Instruction limit reached!
% 5.60/1.05 % (186241)------------------------------
% 5.60/1.05 % (186241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.05 % (186241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.05 % (186241)CaDiCaL version: 2.1.3
% 5.60/1.05 % (186241)Termination reason: Instruction limit
% 5.60/1.05 % (186241)Termination phase: shuffling
% 5.60/1.05 % (186241)Time elapsed: 0.013 s
% 5.60/1.05 % (186241)Peak memory usage: 11 MB
% 5.60/1.05 % (186241)Instructions burned: 28 (million)
% 5.60/1.12 % (186248)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=3236095177:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 5.60/1.12 % (186226)Instruction limit reached!
% 5.60/1.12 % (186226)------------------------------
% 5.60/1.12 % (186226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.12 % (186226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.12 % (186226)CaDiCaL version: 2.1.3
% 5.60/1.12 % (186226)Termination reason: Instruction limit
% 5.60/1.12 % (186226)Termination phase: Saturation
% 5.60/1.12 % (186226)Time elapsed: 0.132 s
% 5.60/1.12 % (186226)Peak memory usage: 18 MB
% 5.60/1.12 % (186226)Instructions burned: 497 (million)
% 5.60/1.12 % (186252)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2343493885:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 5.60/1.12 % (186244)Instruction limit reached!
% 5.60/1.12 % (186244)------------------------------
% 5.60/1.12 % (186244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.12 % (186244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.12 % (186244)CaDiCaL version: 2.1.3
% 5.60/1.12 % (186244)Termination reason: Instruction limit
% 5.60/1.12 % (186244)Termination phase: Property scanning
% 5.60/1.12 % (186244)Time elapsed: 0.046 s
% 5.60/1.12 % (186244)Peak memory usage: 12 MB
% 5.60/1.12 % (186244)Instructions burned: 137 (million)
% 5.60/1.12 % (186211)Instruction limit reached!
% 5.60/1.12 % (186211)------------------------------
% 5.60/1.12 % (186211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.12 % (186211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.12 % (186211)CaDiCaL version: 2.1.3
% 5.60/1.12 % (186211)Termination reason: Instruction limit
% 5.60/1.12 % (186211)Termination phase: Saturation
% 5.60/1.12 % (186211)Time elapsed: 0.225 s
% 5.60/1.12 % (186211)Peak memory usage: 20 MB
% 5.60/1.12 % (186211)Instructions burned: 571 (million)
% 5.60/1.12 % (186254)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.60/1.12 % (186254)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2584849932:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 5.60/1.12 % (186240)Instruction limit reached!
% 5.60/1.12 % (186240)------------------------------
% 5.60/1.12 % (186240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.12 % (186240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.12 % (186240)CaDiCaL version: 2.1.3
% 5.60/1.12 % (186240)Termination reason: Instruction limit
% 5.60/1.12 % (186240)Termination phase: Saturation
% 5.60/1.12 % (186240)Time elapsed: 0.081 s
% 5.60/1.12 % (186240)Peak memory usage: 18 MB
% 5.60/1.12 % (186240)Instructions burned: 342 (million)
% 5.60/1.12 % (186255)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=163822088:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 5.60/1.12 % (186203)Instruction limit reached!
% 5.60/1.12 % (186203)------------------------------
% 5.60/1.12 % (186203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.12 % (186203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.12 % (186203)CaDiCaL version: 2.1.3
% 5.60/1.12 % (186203)Termination reason: Instruction limit
% 5.60/1.12 % (186203)Termination phase: Saturation
% 5.60/1.12 % (186203)Time elapsed: 0.318 s
% 5.60/1.12 % (186203)Peak memory usage: 18 MB
% 5.60/1.12 % (186203)Instructions burned: 876 (million)
% 5.60/1.12 % (186257)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1663167782:i=575:rtra=on_2992 on theBenchmark for (2992ds/575Mi)
% 5.60/1.12 % (186259)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2213300982:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.60/1.12 % (186252)Instruction limit reached!
% 5.60/1.12 % (186252)------------------------------
% 5.60/1.12 % (186252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.12 % (186252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186252)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186252)Termination reason: Instruction limit
% 6.36/1.25 % (186252)Termination phase: Saturation
% 6.36/1.25 % (186252)Time elapsed: 0.051 s
% 6.36/1.25 % (186252)Peak memory usage: 14 MB
% 6.36/1.25 % (186252)Instructions burned: 227 (million)
% 6.36/1.25 % (186255)Instruction limit reached!
% 6.36/1.25 % (186255)------------------------------
% 6.36/1.25 % (186255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186255)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186255)Termination reason: Instruction limit
% 6.36/1.25 % (186255)Termination phase: Preprocessing 3
% 6.36/1.25 % (186255)Time elapsed: 0.041 s
% 6.36/1.25 % (186255)Peak memory usage: 13 MB
% 6.36/1.25 % (186255)Instructions burned: 117 (million)
% 6.36/1.25 % (186263)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=4101962732:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/9840Mi)
% 6.36/1.25 % (186248)Instruction limit reached!
% 6.36/1.25 % (186248)------------------------------
% 6.36/1.25 % (186248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186248)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186248)Termination reason: Instruction limit
% 6.36/1.25 % (186248)Termination phase: Saturation
% 6.36/1.25 % (186248)Time elapsed: 0.089 s
% 6.36/1.25 % (186248)Peak memory usage: 15 MB
% 6.36/1.25 % (186248)Instructions burned: 343 (million)
% 6.36/1.25 % (186267)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=527816898:i=421:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/421Mi)
% 6.36/1.25 % (186269)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 6.36/1.25 % (186269)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=4080266044:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/270Mi)
% 6.36/1.25 % (186254)Instruction limit reached!
% 6.36/1.25 % (186254)------------------------------
% 6.36/1.25 % (186254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186254)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186254)Termination reason: Instruction limit
% 6.36/1.25 % (186254)Termination phase: Saturation
% 6.36/1.25 % (186254)Time elapsed: 0.132 s
% 6.36/1.25 % (186254)Peak memory usage: 14 MB
% 6.36/1.25 % (186254)Instructions burned: 376 (million)
% 6.36/1.25 % (186269)Instruction limit reached!
% 6.36/1.25 % (186269)------------------------------
% 6.36/1.25 % (186269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186269)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186269)Termination reason: Instruction limit
% 6.36/1.25 % (186269)Termination phase: Saturation
% 6.36/1.25 % (186269)Time elapsed: 0.059 s
% 6.36/1.25 % (186269)Peak memory usage: 14 MB
% 6.36/1.25 % (186269)Instructions burned: 270 (million)
% 6.36/1.25 % (186272)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3057471085:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 6.36/1.25 % (186259)Instruction limit reached!
% 6.36/1.25 % (186259)------------------------------
% 6.36/1.25 % (186259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186259)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186259)Termination reason: Instruction limit
% 6.36/1.25 % (186259)Termination phase: Saturation
% 6.36/1.25 % (186259)Time elapsed: 0.108 s
% 6.36/1.25 % (186273)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 6.36/1.25 % (186259)Peak memory usage: 14 MB
% 6.36/1.25 % (186259)Instructions burned: 270 (million)
% 6.36/1.25 % (186273)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
% 6.36/1.25 % (186273)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=2536307601:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2991 on theBenchmark for (2991ds/1440Mi)
% 6.36/1.25 % (186272)Instruction limit reached!
% 6.36/1.25 % (186272)------------------------------
% 6.36/1.25 % (186272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186272)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186272)Termination reason: Instruction limit
% 6.36/1.25 % (186272)Termination phase: shuffling
% 6.36/1.25 % (186272)Time elapsed: 0.008 s
% 6.36/1.25 % (186272)Peak memory usage: 11 MB
% 6.36/1.25 % (186272)Instructions burned: 34 (million)
% 6.36/1.25 % (186257)Instruction limit reached!
% 6.36/1.25 % (186257)------------------------------
% 6.36/1.25 % (186257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186257)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186257)Termination reason: Instruction limit
% 6.36/1.25 % (186257)Termination phase: Saturation
% 6.36/1.25 % (186257)Time elapsed: 0.141 s
% 6.36/1.25 % (186257)Peak memory usage: 18 MB
% 6.36/1.25 % (186257)Instructions burned: 576 (million)
% 6.36/1.25 % (186277)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3540913444:i=111:add=on:fgj=on:rtra=on:fdi=1024_2991 on theBenchmark for (2991ds/111Mi)
% 6.36/1.25 % (186275)dis+10_2_sil=128000:si=on:random_seed=2698474942:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2991 on theBenchmark for (2991ds/339Mi)
% 6.36/1.25 % (186278)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=2498348111:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/122Mi)
% 6.36/1.25 % (186267)Instruction limit reached!
% 6.36/1.25 % (186267)------------------------------
% 6.36/1.25 % (186267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186267)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186267)Termination reason: Instruction limit
% 6.36/1.25 % (186267)Termination phase: Saturation
% 6.36/1.25 % (186267)Time elapsed: 0.123 s
% 6.36/1.25 % (186267)Peak memory usage: 17 MB
% 6.36/1.25 % (186267)Instructions burned: 422 (million)
% 6.36/1.25 % (186277)Instruction limit reached!
% 6.36/1.25 % (186277)------------------------------
% 6.36/1.25 % (186277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186277)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186277)Termination reason: Instruction limit
% 6.36/1.25 % (186277)Termination phase: Property scanning
% 6.36/1.25 % (186277)Time elapsed: 0.025 s
% 6.36/1.25 % (186277)Peak memory usage: 12 MB
% 6.36/1.25 % (186277)Instructions burned: 115 (million)
% 6.36/1.25 % (186283)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2676086288:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/232Mi)
% 6.36/1.25 % (186282)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=2628722786:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 6.36/1.25 % (186278)Instruction limit reached!
% 6.36/1.25 % (186278)------------------------------
% 6.36/1.25 % (186278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186278)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186278)Termination reason: Instruction limit
% 6.36/1.25 % (186278)Termination phase: Property scanning
% 6.36/1.25 % (186278)Time elapsed: 0.030 s
% 6.36/1.25 % (186278)Peak memory usage: 12 MB
% 6.36/1.25 % (186278)Instructions burned: 125 (million)
% 6.36/1.25 % (186286)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=3419813163:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/1254Mi)
% 6.36/1.25 % (186282)Instruction limit reached!
% 6.36/1.25 % (186282)------------------------------
% 6.36/1.25 % (186282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186282)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186282)Termination reason: Instruction limit
% 6.36/1.25 % (186282)Termination phase: Function definition elimination
% 6.36/1.25 % (186282)Time elapsed: 0.034 s
% 6.36/1.25 % (186282)Peak memory usage: 12 MB
% 6.36/1.25 % (186282)Instructions burned: 137 (million)
% 6.36/1.25 % (186288)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.36/1.25 % (186288)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=633428210:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2990 on theBenchmark for (2990ds/281Mi)
% 6.36/1.25 % (186283)Instruction limit reached!
% 6.36/1.25 % (186283)------------------------------
% 6.36/1.25 % (186283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186283)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186283)Termination reason: Instruction limit
% 6.36/1.25 % (186283)Termination phase: Property scanning
% 6.36/1.25 % (186283)Time elapsed: 0.056 s
% 6.36/1.25 % (186283)Peak memory usage: 15 MB
% 6.36/1.25 % (186283)Instructions burned: 235 (million)
% 6.36/1.25 % (186290)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4201235397:i=619:add=on:rtra=on_2990 on theBenchmark for (2990ds/619Mi)
% 6.36/1.25 % (186275)Instruction limit reached!
% 6.36/1.25 % (186275)------------------------------
% 6.36/1.25 % (186275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.25 % (186275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.25 % (186275)CaDiCaL version: 2.1.3
% 6.36/1.25 % (186275)Termination reason: Instruction limit
% 6.36/1.26 % (186275)Termination phase: Saturation
% 6.36/1.26 % (186275)Time elapsed: 0.139 s
% 6.36/1.26 % (186275)Peak memory usage: 15 MB
% 6.36/1.26 % (186275)Instructions burned: 342 (million)
% 6.36/1.26 % (186288)Instruction limit reached!
% 6.36/1.26 % (186288)------------------------------
% 6.36/1.26 % (186288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.26 % (186288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.26 % (186288)CaDiCaL version: 2.1.3
% 6.36/1.26 % (186288)Termination reason: Instruction limit
% 6.36/1.26 % (186288)Termination phase: Saturation
% 6.36/1.26 % (186288)Time elapsed: 0.075 s
% 6.36/1.26 % (186288)Peak memory usage: 13 MB
% 6.36/1.26 % (186288)Instructions burned: 282 (million)
% 6.36/1.26 % (186299)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=4068907259:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/865Mi)
% 6.36/1.26 % (186300)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1253184902:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/212Mi)
% 6.36/1.26 % (186263) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-186082-186263"...
% 6.36/1.26 % (186263)...printing done.
% 6.36/1.26 % (186263)Refutation found. Thanks to Tanya!
% 6.36/1.26 % SZS status Theorem for theBenchmark
% 6.36/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 6.36/1.26 % (186263)------------------------------
% 6.36/1.26 % (186263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.26 % (186263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.26 % (186263)CaDiCaL version: 2.1.3
% 6.36/1.26 % (186263)Termination reason: Refutation
% 6.36/1.26 % (186263)Time elapsed: 0.293 s
% 6.36/1.26 % (186263)Peak memory usage: 26 MB
% 6.36/1.26 % (186263)Instructions burned: 1050 (million)
% 6.36/1.26 % (186082)Success in time 1.074 s
% 6.36/1.26 % Vampire exiting
%------------------------------------------------------------------------------