%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU787^1 : 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 : n002.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 08:31:22 AM UTC 2026
% Result : Theorem 6.16s 1.36s
% Output : Refutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 11 unt; 0 typ; 3 def)
% Number of atoms : 5900 (1629 equ; 0 cnn)
% Maximal formula atoms : 313 ( 134 avg)
% Number of connectives : 2927 ( 48 ~; 51 |;1249 &; 322 @)
% ( 6 <=>;1251 =>; 0 <=; 0 <~>)
% Maximal formula depth : 323 ( 60 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 : 574 ( 571 usr; 345 con; 0-6 aty)
% Number of variables : 75 ( 0 sgn 51 !; 24 ?; 75 :)
% 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_354,type,
vAND: $o > $o > $o ).
thf(func_def_355,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_356,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_357,type,
vIMP: $o > $o > $o ).
thf(func_def_358,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_359,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_360,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_361,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_362,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_363,type,
vNOT: $o > $o ).
thf(func_def_364,type,
vOR: $o > $o > $o ).
thf(func_def_365,type,
sP0: $o ).
thf(func_def_366,type,
sP1: $o ).
thf(func_def_367,type,
sP2: $o ).
thf(func_def_368,type,
sP3: $i > $i > $o ).
thf(func_def_369,type,
sP4: $i > $o ).
thf(func_def_370,type,
sP5: $i > $i > $o ).
thf(func_def_371,type,
sP6: $i > $i > $o ).
thf(func_def_372,type,
sP7: $o ).
thf(func_def_373,type,
sP8: $i > $i > $i > $i > $o ).
thf(func_def_374,type,
sP9: $o ).
thf(func_def_375,type,
sP10: $i > $i > $i > $o ).
thf(func_def_376,type,
sP11: $i > $o > $i > $i > $o ).
thf(func_def_377,type,
sP12: $o ).
thf(func_def_378,type,
sP13: $i > $i > $i > $o ).
thf(func_def_379,type,
sP14: $o ).
thf(func_def_380,type,
sP15: $o ).
thf(func_def_381,type,
sP16: $o ).
thf(func_def_387,type,
sK22: $i > $o ).
thf(func_def_389,type,
sK24: $i > ( $i > $o ) > $i ).
thf(func_def_400,type,
sK35: $o ).
thf(func_def_406,type,
sK41: $i > $o ).
thf(func_def_408,type,
sK43: ( $i > $o ) > $i > $i ).
thf(func_def_416,type,
sK51: $i > $i > $o ).
thf(func_def_419,type,
sK54: $i > $o ).
thf(func_def_434,type,
sK69: $i > $i > $i > $i > $i ).
thf(func_def_448,type,
sK83: $i > $i > $i > $i ).
thf(func_def_462,type,
sK97: $i > $i > $i > $i > $i > $i ).
thf(func_def_464,type,
sK99: $i > $i ).
thf(func_def_466,type,
sK101: $i > $i ).
thf(func_def_472,type,
sK107: $o ).
thf(func_def_473,type,
sK108: $o > $i > $i > $i > $i > $i > $i ).
thf(func_def_477,type,
sK112: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_478,type,
sK113: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_479,type,
sK114: $i > $o ).
thf(func_def_480,type,
sK115: $i > $o ).
thf(func_def_482,type,
sK117: $i > $i > $i ).
thf(func_def_483,type,
sK118: $i > $i > $i ).
thf(func_def_484,type,
sK119: $i > $i > $i ).
thf(func_def_485,type,
sK120: $i > $i > $i ).
thf(func_def_486,type,
sK121: $i > $i > $i ).
thf(func_def_487,type,
sK122: $i > $i > $i > $i ).
thf(func_def_488,type,
sK123: $i > $i ).
thf(func_def_489,type,
sK124: $i > $i ).
thf(func_def_490,type,
sK125: $i > $i ).
thf(func_def_491,type,
sK126: $i > $i ).
thf(func_def_492,type,
sK127: $i > $i > $i ).
thf(func_def_493,type,
sK128: $i > $i > $i > $i ).
thf(func_def_494,type,
sK129: $i > $i > $i > $i ).
thf(func_def_495,type,
sK130: $i > $i > $i ).
thf(func_def_496,type,
sK131: $i > $i > $i ).
thf(func_def_497,type,
sK132: $i > $i ).
thf(func_def_499,type,
sK134: $i > $i ).
thf(func_def_500,type,
sK135: $i > $i ).
thf(func_def_502,type,
sK137: $i > $o ).
thf(func_def_511,type,
sK146: ( $i > $o ) > $i > $i > $i ).
thf(func_def_512,type,
sK147: ( $i > $o ) > $i > $i > $i ).
thf(func_def_515,type,
sK150: $i > $o ).
thf(func_def_521,type,
sK156: $i > $i ).
thf(func_def_524,type,
sK159: $o ).
thf(func_def_546,type,
sK181: ( $i > $o ) > $i > $i ).
thf(func_def_548,type,
sK183: $i > $o ).
thf(func_def_550,type,
sK185: $o ).
thf(func_def_562,type,
sK197: $i > $o ).
thf(func_def_564,type,
sK199: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_565,type,
sK200: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_568,type,
sK203: $i > $i > $o ).
thf(func_def_571,type,
sK206: $i > $i ).
thf(func_def_572,type,
sK207: ( $i > $i > $o ) > $i > $i > $i ).
thf(func_def_581,type,
sK216: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_582,type,
sK217: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_583,type,
sK218: $i > $o ).
thf(func_def_584,type,
sK219: $i > $o ).
thf(func_def_585,type,
sK220: $i > $i ).
thf(func_def_589,type,
sK224: $i > $i > ( $i > $i ) > $i ).
thf(func_def_605,type,
sK240: $i > $o ).
thf(func_def_609,type,
sK244: $i > $i > $i > $i ).
thf(func_def_621,type,
sK256: $i > $o ).
thf(func_def_622,type,
sK257: $i > $i ).
thf(func_def_623,type,
sK258: ( $i > $o ) > $i ).
thf(func_def_629,type,
sK264: ( $i > $o ) > $i > $i > $i ).
thf(func_def_630,type,
sK265: ( $i > $o ) > $i > $i > $i ).
thf(func_def_633,type,
sK268: $i > $o ).
thf(func_def_663,type,
sK298: $i > $o ).
thf(func_def_664,type,
sK299: $i > $i ).
thf(func_def_665,type,
sK300: ( $i > $o ) > $i ).
thf(func_def_666,type,
sK301: $i > $o ).
thf(func_def_669,type,
sK304: $i > ( $i > $o ) > $i ).
thf(func_def_670,type,
sK305: $i > ( $i > $o ) > $i ).
thf(func_def_679,type,
sK314: $o ).
thf(func_def_695,type,
sK330: $i > $o ).
thf(func_def_698,type,
sK333: $i > $o ).
thf(func_def_703,type,
sK338: $i > $i > $i > $i > $i ).
thf(func_def_704,type,
sK339: $i > $i > $i > $i > $i ).
thf(func_def_705,type,
sK340: $i > $i > $i > $i > $i ).
thf(func_def_706,type,
sK341: $i > $i > $i > $i > $i ).
thf(func_def_707,type,
sK342: $i > $i ).
thf(func_def_756,type,
sK391: $i > $o ).
thf(func_def_772,type,
sK407: $o ).
thf(func_def_797,type,
sK432: $i > $i ).
thf(func_def_799,type,
sK434: $i > ( $i > $i ) > $i > $i ).
thf(func_def_802,type,
sK437: $o ).
thf(func_def_813,type,
sK448: $o ).
thf(func_def_831,type,
sK466: $i > $i > $i ).
thf(func_def_833,type,
sK468: $i > $o ).
thf(func_def_836,type,
sK471: $i > $i > $o ).
thf(func_def_849,type,
sK484: $i > $i > $i ).
thf(func_def_852,type,
sK487: $i > ( $i > $i ) > $i > $i ).
thf(func_def_854,type,
sK489: $i > $i ).
thf(func_def_861,type,
sK496: $i > $o ).
thf(func_def_877,type,
sK512: $i > $o ).
thf(func_def_879,type,
sK514: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_880,type,
sK515: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_891,type,
sK526: ( $i > $o ) > $i ).
thf(func_def_892,type,
sK527: ( $i > $o ) > $i ).
thf(func_def_893,type,
sK528: $i > $o ).
thf(func_def_899,type,
sK534: $i > $i > $o ).
thf(func_def_904,type,
sK539: $i > $i > $o ).
thf(func_def_920,type,
sK555: ( $i > $o ) > $i > $i ).
thf(func_def_922,type,
sK557: $i > $o ).
thf(func_def_942,type,
sK577: $i > $o ).
thf(func_def_943,type,
sK578: $i > $o ).
thf(func_def_944,type,
sK579: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_945,type,
sK580: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_946,type,
sK581: $i > $o ).
thf(func_def_960,type,
sK595: $i > $o ).
thf(func_def_962,type,
sK597: $i > ( $i > $o ) > $i ).
thf(func_def_965,type,
sK600: $i > $i > $i > $i ).
thf(func_def_966,type,
sK601: $i > $i > $i > $i ).
thf(func_def_970,type,
sK605: $o ).
thf(func_def_999,type,
sK634: $i > $i ).
thf(func_def_1001,type,
sK636: $o ).
thf(func_def_1012,type,
sK647: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1015,type,
sK650: $i > $o ).
thf(func_def_1018,type,
sK653: $i > $o ).
thf(func_def_1027,type,
sK662: $i > $i > $i ).
thf(func_def_1032,type,
sK667: $i > $i > $i > $i > $i ).
thf(func_def_1033,type,
sK668: $i > $i > $i > $i > $i ).
thf(func_def_1046,type,
sK681: $i > $i > $i ).
thf(func_def_1060,type,
sK695: $i > $i > $o ).
thf(func_def_1067,type,
sK702: $i > $i > $i ).
thf(func_def_1071,type,
sK706: $o ).
thf(func_def_1074,type,
sK709: $i > $i > $i ).
thf(func_def_1080,type,
sK715: $i > ( $i > $o ) > $i ).
thf(func_def_1081,type,
sK716: $i > $o ).
thf(func_def_1083,type,
sK718: $o ).
thf(func_def_1100,type,
sK735: $o ).
thf(func_def_1114,type,
sK749: $i > $i ).
thf(func_def_1116,type,
sK751: $i > ( $i > $i ) > $i > $i ).
thf(func_def_1119,type,
sK754: $o ).
thf(func_def_1122,type,
sK757: $o ).
thf(func_def_1129,type,
sK764: $i > $i > $i ).
thf(func_def_1130,type,
sK765: $i > $i > $i ).
thf(func_def_1138,type,
sK773: $i > $i > $o ).
thf(func_def_1140,type,
sK775: $i > ( $i > $o ) > $i ).
thf(func_def_1141,type,
sK776: $i > $o ).
thf(func_def_1147,type,
sK782: $i > $i > $i > $i ).
thf(func_def_1148,type,
sK783: $i > $i > $i > $i ).
thf(func_def_1156,type,
sK791: $i > $i > $i > $i > $i ).
thf(func_def_1164,type,
sK799: $o ).
thf(func_def_1181,type,
sK816: $o ).
thf(func_def_1188,type,
sK823: $i > $i > $i > $i ).
thf(func_def_1189,type,
sK824: $i > $i > $i > $i ).
thf(func_def_1200,type,
sK835: ( $i > $o ) > $i ).
thf(func_def_1201,type,
sK836: $i > $o ).
thf(func_def_1202,type,
sK837: $o ).
thf(func_def_1211,type,
sK846: $i > $i > $i > $i > $i ).
thf(func_def_1212,type,
sK847: $i > $o ).
thf(func_def_1217,type,
sK852: $i > $i ).
thf(func_def_1219,type,
sK854: $i > ( $i > $i ) > $i > $i ).
thf(func_def_1223,type,
sK858: $i > $i > $i > $i ).
thf(func_def_1224,type,
sK859: $i > $i > $i > $i ).
thf(func_def_1225,type,
sK860: $i > $i > $i > $i ).
thf(func_def_1226,type,
sK861: $i > $i > $i > $i ).
thf(func_def_1251,type,
sK886: $i > $o ).
thf(func_def_1259,type,
sK894: $i > $i > $i ).
thf(func_def_1274,type,
sK909: $i > $o ).
thf(func_def_1276,type,
sK911: ( $i > $o ) > $i > $i ).
thf(func_def_1277,type,
sK912: ( $i > $o ) > $i > $i ).
thf(func_def_1284,type,
sK919: $o ).
thf(func_def_1285,type,
sK920: $o > $i > $i > $i ).
thf(func_def_1286,type,
sK921: $i > $o ).
thf(func_def_1289,type,
sK924: $i > $i > $o ).
thf(func_def_1299,type,
sK934: $i > $o ).
thf(func_def_1301,type,
sK936: ( $i > $o ) > $i > $i ).
thf(func_def_1312,type,
sK947: $o ).
thf(func_def_1317,type,
sK952: $i > $i > $i ).
thf(func_def_1329,type,
sK964: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1332,type,
sK967: $i > $i ).
thf(func_def_1336,type,
sK971: $i > $i > $o ).
thf(func_def_1338,type,
sK973: $i > $i ).
thf(func_def_1339,type,
sK974: $i > $i ).
thf(func_def_1340,type,
sK975: $i > ( $i > $i > $o ) > $i ).
thf(func_def_1341,type,
sK976: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_1342,type,
sK977: $i > ( $i > $i > $o ) > $i ).
thf(func_def_1351,type,
sK986: $i > $i > $o ).
thf(func_def_1361,type,
sK996: $i > $i ).
thf(func_def_1363,type,
sK998: $i > $i ).
thf(func_def_1364,type,
sK999: ( $i > $o ) > $i > $i ).
thf(func_def_1366,type,
sK1001: $i > $o ).
thf(f105,axiom,
! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ ( binunion @ X0 @ X1 ) )
=> ( ( in @ X2 @ X1 )
| ( in @ X2 @ X0 ) ) )
= binunionE ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionE) ).
thf(f306,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
=> ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
=> ! [X5: $o] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
=> X5 )
=> ( ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
=> X5 )
=> X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1unionEcases) ).
thf(f307,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
=> ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
=> ! [X5: $o] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
=> X5 )
=> ( ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
=> X5 )
=> X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f306]) ).
thf(f675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ ( binunion @ X1 @ X2 ) )
=> ( ( in @ X0 @ X2 )
| ( in @ X0 @ X1 ) ) )
= binunionE ),
inference(rectify,[],[f105]) ).
thf(f676,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ ( binunion @ X1 @ X2 ) ) )
=> ( ( $true
= ( in @ X0 @ X1 ) )
| ( $true
= ( in @ X0 @ X2 ) ) ) )
<=> ( binunionE = $true ) ),
inference(fool_elimination,[],[f675]) ).
thf(f905,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
=> ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ! [X2: $i] :
( ( breln1 @ X0 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ! [X4: $i] :
( ( in @ X4 @ X0 )
=> ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
=> ! [X5: $o] :
( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
=> X5 )
=> ( ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
=> X5 )
=> X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f307]) ).
thf(f906,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 )
=> ! [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
=> ! [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
=> ! [X4: $i] :
( ( ( in @ X4 @ X0 )
= $true )
=> ( ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
=> ! [X5: $o] :
( ( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
= $true )
=> ( $true = X5 ) )
=> ( ( ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
= $true )
=> ( $true = X5 ) )
=> ( $true = X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f905]) ).
thf(f974,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ X1 ) )
| ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( in @ X0 @ ( binunion @ X1 @ X2 ) ) ) )
<=> ( binunionE = $true ) ),
inference(ennf_transformation,[],[f676]) ).
thf(f975,plain,
( ( binunionE = $true )
<=> ! [X2: $i,X1: $i,X0: $i] :
( ( $true
= ( in @ X0 @ X1 ) )
| ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( in @ X0 @ ( binunion @ X1 @ X2 ) ) ) ) ),
inference(flattening,[],[f974]) ).
thf(f1066,plain,
( ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ? [X4: $i] :
( ? [X5: $o] :
( ( $true != X5 )
& ( ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true )
| ( $true = X5 ) )
& ( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
| ( $true = X5 ) ) )
& ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true )
& ( ( in @ X4 @ X0 )
= $true ) )
& ( ( in @ X3 @ X0 )
= $true ) )
& ( ( breln1 @ X0 @ X2 )
= $true ) )
& ( ( breln1 @ X0 @ X1 )
= $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,[],[f906]) ).
thf(f1067,plain,
( ( lam2p = $true )
& ( setukpairinjR11 = $true )
& ( breln1invI = $true )
& ( doubleComplementEq = $true )
& ( powersetE1 = $true )
& ( iftrueProp1 = $true )
& ( cartprodpairin = $true )
& ( emptyI = $true )
& ( subPowSU = $true )
& ( contrasubsetT3 = $true )
& ( infuncsetfunc = $true )
& ( subsetemptysetimpeq = $true )
& ( descr__Cong = $true )
& ( ifSingleton = $true )
& ( subsetI2 = $true )
& ( breln1invE = $true )
& ( funcext = $true )
& ( subbreln1 = $true )
& ( prop2set2propI = $true )
& ( notsubsetI = $true )
& ( ex1E1 = $true )
& ( doubleComplementSub2 = $true )
& ( noeltsimpempty = $true )
& ( subsetTI = $true )
& ( subsetRefl = $true )
& ( lam2lamEq = $true )
& ( apProp = $true )
& ( choice2fnsingleton = $true )
& ( setadjoinSub2 = $true )
& ( inIntersectImpInUnion = $true )
& ( eta1 = $true )
& ( powersetAx = $true )
& ( complementTI1 = $true )
& ( binintersectSubset5 = $true )
& ( eqbreln1 = $true )
& ( eqinunit = $true )
& ( ubforcartprodlem2 = $true )
& ( setminusSubset2 = $true )
& ( dpsetconstrERa = $true )
& ( brelnall2 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( exuE1 = $true )
& ( binintersectLsub = $true )
& ( singletonsubset = $true )
& ( funcext2 = $true )
& ( notdallE = $true )
& ( setukpairinjL2 = $true )
& ( dpsetconstrER = $true )
& ( doubleComplementI1 = $true )
& ( in__Cong = $true )
& ( nonemptyE1 = $true )
& ( woz13rule2 = $true )
& ( secondinupair = $true )
& ( setadjoinIL = $true )
& ( demorgan2b = $true )
& ( setminusLsub = $true )
& ( eqbreln = $true )
& ( symdiffI1 = $true )
& ( descrp = $true )
& ( app = $true )
& ( funcinfuncset = $true )
& ( brelnall1 = $true )
& ( funcextLem = $true )
& ( omegaIndAx = $true )
& ( upairsetIR = $true )
& ( prop2setE = $true )
& ( quantDeMorgan1 = $true )
& ( cartprodpairmemER = $true )
& ( ap2apEq2 = $true )
& ( ubforcartprodlem1 = $true )
& ( inPowerset = $true )
& ( binunionLsub = $true )
& ( symdiffE = $true )
& ( setminusIRneg = $true )
& ( setukpairinjR2 = $true )
& ( iffalse = $true )
& ( foundationAx = $true )
& ( woz1_2 = $true )
& ( binunionTIRcontra = $true )
& ( setunionI = $true )
& ( woz13rule0 = $true )
& ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( ( breln1 @ X0 @ X2 )
= $true )
& ? [X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
& ? [X4: $i] :
( ? [X5: $o] :
( ( $true != X5 )
& ( ( ( in @ ( kpair @ X3 @ X4 ) @ X1 )
!= $true )
| ( $true = X5 ) )
& ( ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true )
| ( $true = X5 ) ) )
& ( ( in @ X4 @ X0 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X1 @ X2 ) )
= $true ) ) ) )
& ( ( breln1 @ X0 @ X1 )
= $true ) )
& ( dpsetconstrEL1 = $true )
& ( ex1I2 = $true )
& ( woz1_1 = $true )
& ( woz1_4 = $true )
& ( setunionsingleton1 = $true )
& ( binunionIL = $true )
& ( ap2p = $true )
& ( doubleComplementSub1 = $true )
& ( disjointsetsI1 = $true )
& ( notequalI2 = $true )
& ( setadjoinSub = $true )
& ( contrasubsetT1 = $true )
& ( setminusELneg = $true )
& ( powersetTE1 = $true )
& ( setminusER = $true )
& ( dsetconstrER = $true )
& ( ex1I = $true )
& ( emptyset__Cong = $true )
& ( binunionIR = $true )
& ( breln1unionI = $true )
& ( quantDeMorgan2 = $true )
& ( breln1all1 = $true )
& ( binunionE = $true )
& ( cartprodfstin = $true )
& ( breln1compEex = $true )
& ( singletonprop = $true )
& ( exuE2 = $true )
& ( notinemptyset = $true )
& ( exuEu = $true )
& ( demorgan1a = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( symdiffI2 = $true )
& ( setukpairinjL1 = $true )
& ( binintersectT_lem = $true )
& ( contraSubsetComplement = $true )
& ( setukpairIL = $true )
& ( exuI1 = $true )
& ( prop2setI = $true )
& ( dsetconstrI = $true )
& ( binintersectER = $true )
& ( breln1SetBreln1 = $true )
& ( complementT_lem = $true )
& ( breln1unionprop = $true )
& ( emptyInPowerset = $true )
& ( ex1E2 = $true )
& ( setextT = $true )
& ( binintersectSubset1 = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( iftrueProp2 = $true )
& ( bs114d = $true )
& ( replAx = $true )
& ( iffalseProp2 = $true )
& ( powersetE = $true )
& ( funcGraphProp2 = $true )
& ( woz1_3 = $true )
& ( setext = $true )
& ( emptysetimpfalse = $true )
& ( setunionE2 = $true )
& ( symdiffIneg1 = $true )
& ( exuI3 = $true )
& ( setunionsingleton = $true )
& ( emptyinPowerset = $true )
& ( sepSubset = $true )
& ( iffalseProp1 = $true )
& ( breln1invprop = $true )
& ( omegaSAx = $true )
& ( lamProp = $true )
& ( woz13rule4 = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementUnionInPowersetComplement = $true )
& ( uniqinunit = $true )
& ( demorgan2a1 = $true )
& ( setunion__Cong = $true )
& ( binunionT_lem = $true )
& ( setminusERneg = $true )
& ( upairset2IR = $true )
& ( kpairp = $true )
& ( funcGraphProp3 = $true )
& ( emptysetsubset = $true )
& ( powersetI1 = $true )
& ( breln1unionIR = $true )
& ( setunionsingleton2 = $true )
& ( cartprodsndpairEq = $true )
& ( nonemptyImpWitness = $true )
& ( setadjoinOr = $true )
& ( contrasubsetT2 = $true )
& ( doubleComplementE1 = $true )
& ( powersetT_lem = $true )
& ( eqimpsubset2 = $true )
& ( breln1unionE = $true )
& ( omega__Cong = $true )
& ( ubforcartprodlem3 = $true )
& ( setoftrueEq = $true )
& ( eta2 = $true )
& ( binintersectRsub = $true )
& ( singletoninpowerset = $true )
& ( setukpairinjR = $true )
& ( emptyinunitempty = $true )
& ( theeq = $true )
& ( funcGraphProp4 = $true )
& ( inCongP = $true )
& ( upairsetIL = $true )
& ( complementImpComplementIntersect = $true )
& ( setadjoinIR = $true )
& ( setminusI = $true )
& ( iftrue = $true )
& ( wellorderingAx = $true )
& ( kfstsingleton = $true )
& ( demorgan2a2 = $true )
& ( singletonsuniq = $true )
& ( setukpairIR = $true )
& ( binintersectSubset2 = $true )
& ( funcImageSingleton = $true )
& ( demorgan2b2 = $true )
& ( setukpairinjR12 = $true )
& ( vacuousDall = $true )
& ( notinsingleton = $true )
& ( binintersectSubset3 = $true )
& ( cartprodfstpairEq = $true )
& ( omega0Ax = $true )
& ( notequalI1 = $true )
& ( setadjoinAx = $true )
& ( symdiffIneg2 = $true )
& ( sepInPowerset = $true )
& ( setukpairinjR1 = $true )
& ( emptysetE = $true )
& ( upairset2E = $true )
& ( singletonsswitch = $true )
& ( dpsetconstrEL2 = $true )
& ( funcGraphProp1 = $true )
& ( cartprodmempaircEq = $true )
& ( binunionRsub = $true )
& ( setOfPairsIsBReln = $true )
& ( binunionEcases = $true )
& ( emptysetAx = $true )
& ( setunionE = $true )
& ( cartprodpairsurjEq = $true )
& ( inIntersectImpInUnion2 = $true )
& ( setunionAx = $true )
& ( cartprodmempair1 = $true )
& ( woz1_5 = $true )
& ( binintersectTELcontra = $true )
& ( dsetconstrEL = $true )
& ( breln1all2 = $true )
& ( setextsub = $true )
& ( kfstpairEq = $true )
& ( powerset__Cong = $true )
& ( demorgan2 = $true )
& ( breln1compprop = $true )
& ( subbreln = $true )
& ( subsetE2 = $true )
& ( contrasubsetT = $true )
& ( upairsubunion = $true )
& ( upairsetE = $true )
& ( ap2apEq1 = $true )
& ( dpsetconstrI = $true )
& ( setadjoinE = $true )
& ( cartprodpairmemEL = $true )
& ( eqimpsubset1 = $true )
& ( subset2powerset = $true )
& ( dsetconstr__Cong = $true )
& ( breln1compI = $true )
& ( beta2 = $true )
& ( breln1compE = $true )
& ( ksndpairEq = $true )
& ( cartprodmempair = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( binintersectEL = $true )
& ( setukpairinjL = $true )
& ( setextAx = $true )
& ( woz13rule3 = $true )
& ( binintersectI = $true )
& ( demorgan2a = $true )
& ( setbeta = $true )
& ( quantDeMorgan3 = $true )
& ( ksndsingleton = $true )
& ( binintersectTERcontra = $true )
& ( powersetsubset = $true )
& ( dpsetconstrSub = $true )
& ( theprop = $true )
& ( demorgan1 = $true )
& ( exuI2 = $true )
& ( powersetI = $true )
& ( quantDeMorgan4 = $true )
& ( woz13rule1 = $true )
& ( binunionTEcontra = $true )
& ( setadjoin__Cong = $true )
& ( complementTnotintersectT = $true )
& ( exuE3u = $true )
& ( ifp = $true )
& ( binunionTE = $true )
& ( singletoninpowunion = $true )
& ( subsetI1 = $true )
& ( upairequniteq = $true )
& ( notdexE = $true )
& ( subsetTrans = $true )
& ( complementTE1 = $true )
& ( subsetE = $true )
& ( nonemptyI = $true )
& ( setminusEL = $true )
& ( breln1unionIL = $true )
& ( setOfPairsIsBReln1 = $true )
& ( binintersectSubset4 = $true )
& ( beta1 = $true )
& ( cartprodsndin = $true )
& ( powersetTI1 = $true )
& ( lamp = $true )
& ( setminusILneg = $true )
& ( kpairiskpair = $true )
& ( upairinpowunion = $true )
& ( exu__Cong = $true )
& ( nonemptyI1 = $true )
& ( kpairsurjEq = $true )
& ( exuE3e = $true )
& ( demorgan1b = $true )
& ( emptyE1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( complementTcontraSubset = $true )
& ( setminusSubset1 = $true )
& ( setminusT_lem = $true )
& ( iftrueorfalse = $true )
& ( binunionTILcontra = $true ) ),
inference(flattening,[],[f1066]) ).
thf(f1754,plain,
( ( lam2p = $true )
& ( setukpairinjR11 = $true )
& ( breln1invI = $true )
& ( doubleComplementEq = $true )
& ( powersetE1 = $true )
& ( iftrueProp1 = $true )
& ( cartprodpairin = $true )
& ( emptyI = $true )
& ( subPowSU = $true )
& ( contrasubsetT3 = $true )
& ( infuncsetfunc = $true )
& ( subsetemptysetimpeq = $true )
& ( descr__Cong = $true )
& ( ifSingleton = $true )
& ( subsetI2 = $true )
& ( breln1invE = $true )
& ( funcext = $true )
& ( subbreln1 = $true )
& ( prop2set2propI = $true )
& ( notsubsetI = $true )
& ( ex1E1 = $true )
& ( doubleComplementSub2 = $true )
& ( noeltsimpempty = $true )
& ( subsetTI = $true )
& ( subsetRefl = $true )
& ( lam2lamEq = $true )
& ( apProp = $true )
& ( choice2fnsingleton = $true )
& ( setadjoinSub2 = $true )
& ( inIntersectImpInUnion = $true )
& ( eta1 = $true )
& ( powersetAx = $true )
& ( complementTI1 = $true )
& ( binintersectSubset5 = $true )
& ( eqbreln1 = $true )
& ( eqinunit = $true )
& ( ubforcartprodlem2 = $true )
& ( setminusSubset2 = $true )
& ( dpsetconstrERa = $true )
& ( brelnall2 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( exuE1 = $true )
& ( binintersectLsub = $true )
& ( singletonsubset = $true )
& ( funcext2 = $true )
& ( notdallE = $true )
& ( setukpairinjL2 = $true )
& ( dpsetconstrER = $true )
& ( doubleComplementI1 = $true )
& ( in__Cong = $true )
& ( nonemptyE1 = $true )
& ( woz13rule2 = $true )
& ( secondinupair = $true )
& ( setadjoinIL = $true )
& ( demorgan2b = $true )
& ( setminusLsub = $true )
& ( eqbreln = $true )
& ( symdiffI1 = $true )
& ( descrp = $true )
& ( app = $true )
& ( funcinfuncset = $true )
& ( brelnall1 = $true )
& ( funcextLem = $true )
& ( omegaIndAx = $true )
& ( upairsetIR = $true )
& ( prop2setE = $true )
& ( quantDeMorgan1 = $true )
& ( cartprodpairmemER = $true )
& ( ap2apEq2 = $true )
& ( ubforcartprodlem1 = $true )
& ( inPowerset = $true )
& ( binunionLsub = $true )
& ( symdiffE = $true )
& ( setminusIRneg = $true )
& ( setukpairinjR2 = $true )
& ( iffalse = $true )
& ( foundationAx = $true )
& ( woz1_2 = $true )
& ( binunionTIRcontra = $true )
& ( setunionI = $true )
& ( woz13rule0 = $true )
& ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( $true
= ( breln1 @ X1 @ X2 ) )
& ? [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
& ? [X4: $i] :
( ? [X5: $o] :
( ( $true != X5 )
& ( ( ( in @ ( kpair @ X3 @ X4 ) @ X0 )
!= $true )
| ( $true = X5 ) )
& ( ( ( in @ ( kpair @ X3 @ X4 ) @ X2 )
!= $true )
| ( $true = X5 ) ) )
& ( ( in @ X4 @ X1 )
= $true )
& ( ( in @ ( kpair @ X3 @ X4 ) @ ( binunion @ X0 @ X2 ) )
= $true ) ) ) )
& ( ( breln1 @ X1 @ X0 )
= $true ) )
& ( dpsetconstrEL1 = $true )
& ( ex1I2 = $true )
& ( woz1_1 = $true )
& ( woz1_4 = $true )
& ( setunionsingleton1 = $true )
& ( binunionIL = $true )
& ( ap2p = $true )
& ( doubleComplementSub1 = $true )
& ( disjointsetsI1 = $true )
& ( notequalI2 = $true )
& ( setadjoinSub = $true )
& ( contrasubsetT1 = $true )
& ( setminusELneg = $true )
& ( powersetTE1 = $true )
& ( setminusER = $true )
& ( dsetconstrER = $true )
& ( ex1I = $true )
& ( emptyset__Cong = $true )
& ( binunionIR = $true )
& ( breln1unionI = $true )
& ( quantDeMorgan2 = $true )
& ( breln1all1 = $true )
& ( binunionE = $true )
& ( cartprodfstin = $true )
& ( breln1compEex = $true )
& ( singletonprop = $true )
& ( exuE2 = $true )
& ( notinemptyset = $true )
& ( exuEu = $true )
& ( demorgan1a = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( symdiffI2 = $true )
& ( setukpairinjL1 = $true )
& ( binintersectT_lem = $true )
& ( contraSubsetComplement = $true )
& ( setukpairIL = $true )
& ( exuI1 = $true )
& ( prop2setI = $true )
& ( dsetconstrI = $true )
& ( binintersectER = $true )
& ( breln1SetBreln1 = $true )
& ( complementT_lem = $true )
& ( breln1unionprop = $true )
& ( emptyInPowerset = $true )
& ( ex1E2 = $true )
& ( setextT = $true )
& ( binintersectSubset1 = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( iftrueProp2 = $true )
& ( bs114d = $true )
& ( replAx = $true )
& ( iffalseProp2 = $true )
& ( powersetE = $true )
& ( funcGraphProp2 = $true )
& ( woz1_3 = $true )
& ( setext = $true )
& ( emptysetimpfalse = $true )
& ( setunionE2 = $true )
& ( symdiffIneg1 = $true )
& ( exuI3 = $true )
& ( setunionsingleton = $true )
& ( emptyinPowerset = $true )
& ( sepSubset = $true )
& ( iffalseProp1 = $true )
& ( breln1invprop = $true )
& ( omegaSAx = $true )
& ( lamProp = $true )
& ( woz13rule4 = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementUnionInPowersetComplement = $true )
& ( uniqinunit = $true )
& ( demorgan2a1 = $true )
& ( setunion__Cong = $true )
& ( binunionT_lem = $true )
& ( setminusERneg = $true )
& ( upairset2IR = $true )
& ( kpairp = $true )
& ( funcGraphProp3 = $true )
& ( emptysetsubset = $true )
& ( powersetI1 = $true )
& ( breln1unionIR = $true )
& ( setunionsingleton2 = $true )
& ( cartprodsndpairEq = $true )
& ( nonemptyImpWitness = $true )
& ( setadjoinOr = $true )
& ( contrasubsetT2 = $true )
& ( doubleComplementE1 = $true )
& ( powersetT_lem = $true )
& ( eqimpsubset2 = $true )
& ( breln1unionE = $true )
& ( omega__Cong = $true )
& ( ubforcartprodlem3 = $true )
& ( setoftrueEq = $true )
& ( eta2 = $true )
& ( binintersectRsub = $true )
& ( singletoninpowerset = $true )
& ( setukpairinjR = $true )
& ( emptyinunitempty = $true )
& ( theeq = $true )
& ( funcGraphProp4 = $true )
& ( inCongP = $true )
& ( upairsetIL = $true )
& ( complementImpComplementIntersect = $true )
& ( setadjoinIR = $true )
& ( setminusI = $true )
& ( iftrue = $true )
& ( wellorderingAx = $true )
& ( kfstsingleton = $true )
& ( demorgan2a2 = $true )
& ( singletonsuniq = $true )
& ( setukpairIR = $true )
& ( binintersectSubset2 = $true )
& ( funcImageSingleton = $true )
& ( demorgan2b2 = $true )
& ( setukpairinjR12 = $true )
& ( vacuousDall = $true )
& ( notinsingleton = $true )
& ( binintersectSubset3 = $true )
& ( cartprodfstpairEq = $true )
& ( omega0Ax = $true )
& ( notequalI1 = $true )
& ( setadjoinAx = $true )
& ( symdiffIneg2 = $true )
& ( sepInPowerset = $true )
& ( setukpairinjR1 = $true )
& ( emptysetE = $true )
& ( upairset2E = $true )
& ( singletonsswitch = $true )
& ( dpsetconstrEL2 = $true )
& ( funcGraphProp1 = $true )
& ( cartprodmempaircEq = $true )
& ( binunionRsub = $true )
& ( setOfPairsIsBReln = $true )
& ( binunionEcases = $true )
& ( emptysetAx = $true )
& ( setunionE = $true )
& ( cartprodpairsurjEq = $true )
& ( inIntersectImpInUnion2 = $true )
& ( setunionAx = $true )
& ( cartprodmempair1 = $true )
& ( woz1_5 = $true )
& ( binintersectTELcontra = $true )
& ( dsetconstrEL = $true )
& ( breln1all2 = $true )
& ( setextsub = $true )
& ( kfstpairEq = $true )
& ( powerset__Cong = $true )
& ( demorgan2 = $true )
& ( breln1compprop = $true )
& ( subbreln = $true )
& ( subsetE2 = $true )
& ( contrasubsetT = $true )
& ( upairsubunion = $true )
& ( upairsetE = $true )
& ( ap2apEq1 = $true )
& ( dpsetconstrI = $true )
& ( setadjoinE = $true )
& ( cartprodpairmemEL = $true )
& ( eqimpsubset1 = $true )
& ( subset2powerset = $true )
& ( dsetconstr__Cong = $true )
& ( breln1compI = $true )
& ( beta2 = $true )
& ( breln1compE = $true )
& ( ksndpairEq = $true )
& ( cartprodmempair = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( binintersectEL = $true )
& ( setukpairinjL = $true )
& ( setextAx = $true )
& ( woz13rule3 = $true )
& ( binintersectI = $true )
& ( demorgan2a = $true )
& ( setbeta = $true )
& ( quantDeMorgan3 = $true )
& ( ksndsingleton = $true )
& ( binintersectTERcontra = $true )
& ( powersetsubset = $true )
& ( dpsetconstrSub = $true )
& ( theprop = $true )
& ( demorgan1 = $true )
& ( exuI2 = $true )
& ( powersetI = $true )
& ( quantDeMorgan4 = $true )
& ( woz13rule1 = $true )
& ( binunionTEcontra = $true )
& ( setadjoin__Cong = $true )
& ( complementTnotintersectT = $true )
& ( exuE3u = $true )
& ( ifp = $true )
& ( binunionTE = $true )
& ( singletoninpowunion = $true )
& ( subsetI1 = $true )
& ( upairequniteq = $true )
& ( notdexE = $true )
& ( subsetTrans = $true )
& ( complementTE1 = $true )
& ( subsetE = $true )
& ( nonemptyI = $true )
& ( setminusEL = $true )
& ( breln1unionIL = $true )
& ( setOfPairsIsBReln1 = $true )
& ( binintersectSubset4 = $true )
& ( beta1 = $true )
& ( cartprodsndin = $true )
& ( powersetTI1 = $true )
& ( lamp = $true )
& ( setminusILneg = $true )
& ( kpairiskpair = $true )
& ( upairinpowunion = $true )
& ( exu__Cong = $true )
& ( nonemptyI1 = $true )
& ( kpairsurjEq = $true )
& ( exuE3e = $true )
& ( demorgan1b = $true )
& ( emptyE1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( complementTcontraSubset = $true )
& ( setminusSubset1 = $true )
& ( setminusT_lem = $true )
& ( iftrueorfalse = $true )
& ( binunionTILcontra = $true ) ),
inference(rectify,[],[f1067]) ).
thf(f1755,plain,
( ( lam2p = $true )
& ( setukpairinjR11 = $true )
& ( breln1invI = $true )
& ( doubleComplementEq = $true )
& ( powersetE1 = $true )
& ( iftrueProp1 = $true )
& ( cartprodpairin = $true )
& ( emptyI = $true )
& ( subPowSU = $true )
& ( contrasubsetT3 = $true )
& ( infuncsetfunc = $true )
& ( subsetemptysetimpeq = $true )
& ( descr__Cong = $true )
& ( ifSingleton = $true )
& ( subsetI2 = $true )
& ( breln1invE = $true )
& ( funcext = $true )
& ( subbreln1 = $true )
& ( prop2set2propI = $true )
& ( notsubsetI = $true )
& ( ex1E1 = $true )
& ( doubleComplementSub2 = $true )
& ( noeltsimpempty = $true )
& ( subsetTI = $true )
& ( subsetRefl = $true )
& ( lam2lamEq = $true )
& ( apProp = $true )
& ( choice2fnsingleton = $true )
& ( setadjoinSub2 = $true )
& ( inIntersectImpInUnion = $true )
& ( eta1 = $true )
& ( powersetAx = $true )
& ( complementTI1 = $true )
& ( binintersectSubset5 = $true )
& ( eqbreln1 = $true )
& ( eqinunit = $true )
& ( ubforcartprodlem2 = $true )
& ( setminusSubset2 = $true )
& ( dpsetconstrERa = $true )
& ( brelnall2 = $true )
& ( complementSubsetComplementIntersect = $true )
& ( exuE1 = $true )
& ( binintersectLsub = $true )
& ( singletonsubset = $true )
& ( funcext2 = $true )
& ( notdallE = $true )
& ( setukpairinjL2 = $true )
& ( dpsetconstrER = $true )
& ( doubleComplementI1 = $true )
& ( in__Cong = $true )
& ( nonemptyE1 = $true )
& ( woz13rule2 = $true )
& ( secondinupair = $true )
& ( setadjoinIL = $true )
& ( demorgan2b = $true )
& ( setminusLsub = $true )
& ( eqbreln = $true )
& ( symdiffI1 = $true )
& ( descrp = $true )
& ( app = $true )
& ( funcinfuncset = $true )
& ( brelnall1 = $true )
& ( funcextLem = $true )
& ( omegaIndAx = $true )
& ( upairsetIR = $true )
& ( prop2setE = $true )
& ( quantDeMorgan1 = $true )
& ( cartprodpairmemER = $true )
& ( ap2apEq2 = $true )
& ( ubforcartprodlem1 = $true )
& ( inPowerset = $true )
& ( binunionLsub = $true )
& ( symdiffE = $true )
& ( setminusIRneg = $true )
& ( setukpairinjR2 = $true )
& ( iffalse = $true )
& ( foundationAx = $true )
& ( woz1_2 = $true )
& ( binunionTIRcontra = $true )
& ( setunionI = $true )
& ( woz13rule0 = $true )
& ( ( breln1 @ sK444 @ sK445 )
= $true )
& ( $true
= ( in @ sK446 @ sK444 ) )
& ( $true != sK448 )
& ( ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK443 )
!= $true )
| ( $true = sK448 ) )
& ( ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK445 )
!= $true )
| ( $true = sK448 ) )
& ( ( in @ sK447 @ sK444 )
= $true )
& ( $true
= ( in @ ( kpair @ sK446 @ sK447 ) @ ( binunion @ sK443 @ sK445 ) ) )
& ( $true
= ( breln1 @ sK444 @ sK443 ) )
& ( dpsetconstrEL1 = $true )
& ( ex1I2 = $true )
& ( woz1_1 = $true )
& ( woz1_4 = $true )
& ( setunionsingleton1 = $true )
& ( binunionIL = $true )
& ( ap2p = $true )
& ( doubleComplementSub1 = $true )
& ( disjointsetsI1 = $true )
& ( notequalI2 = $true )
& ( setadjoinSub = $true )
& ( contrasubsetT1 = $true )
& ( setminusELneg = $true )
& ( powersetTE1 = $true )
& ( setminusER = $true )
& ( dsetconstrER = $true )
& ( ex1I = $true )
& ( emptyset__Cong = $true )
& ( binunionIR = $true )
& ( breln1unionI = $true )
& ( quantDeMorgan2 = $true )
& ( breln1all1 = $true )
& ( binunionE = $true )
& ( cartprodfstin = $true )
& ( breln1compEex = $true )
& ( singletonprop = $true )
& ( exuE2 = $true )
& ( notinemptyset = $true )
& ( exuEu = $true )
& ( demorgan1a = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( symdiffI2 = $true )
& ( setukpairinjL1 = $true )
& ( binintersectT_lem = $true )
& ( contraSubsetComplement = $true )
& ( setukpairIL = $true )
& ( exuI1 = $true )
& ( prop2setI = $true )
& ( dsetconstrI = $true )
& ( binintersectER = $true )
& ( breln1SetBreln1 = $true )
& ( complementT_lem = $true )
& ( breln1unionprop = $true )
& ( emptyInPowerset = $true )
& ( ex1E2 = $true )
& ( setextT = $true )
& ( binintersectSubset1 = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( iftrueProp2 = $true )
& ( bs114d = $true )
& ( replAx = $true )
& ( iffalseProp2 = $true )
& ( powersetE = $true )
& ( funcGraphProp2 = $true )
& ( woz1_3 = $true )
& ( setext = $true )
& ( emptysetimpfalse = $true )
& ( setunionE2 = $true )
& ( symdiffIneg1 = $true )
& ( exuI3 = $true )
& ( setunionsingleton = $true )
& ( emptyinPowerset = $true )
& ( sepSubset = $true )
& ( iffalseProp1 = $true )
& ( breln1invprop = $true )
& ( omegaSAx = $true )
& ( lamProp = $true )
& ( woz13rule4 = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementUnionInPowersetComplement = $true )
& ( uniqinunit = $true )
& ( demorgan2a1 = $true )
& ( setunion__Cong = $true )
& ( binunionT_lem = $true )
& ( setminusERneg = $true )
& ( upairset2IR = $true )
& ( kpairp = $true )
& ( funcGraphProp3 = $true )
& ( emptysetsubset = $true )
& ( powersetI1 = $true )
& ( breln1unionIR = $true )
& ( setunionsingleton2 = $true )
& ( cartprodsndpairEq = $true )
& ( nonemptyImpWitness = $true )
& ( setadjoinOr = $true )
& ( contrasubsetT2 = $true )
& ( doubleComplementE1 = $true )
& ( powersetT_lem = $true )
& ( eqimpsubset2 = $true )
& ( breln1unionE = $true )
& ( omega__Cong = $true )
& ( ubforcartprodlem3 = $true )
& ( setoftrueEq = $true )
& ( eta2 = $true )
& ( binintersectRsub = $true )
& ( singletoninpowerset = $true )
& ( setukpairinjR = $true )
& ( emptyinunitempty = $true )
& ( theeq = $true )
& ( funcGraphProp4 = $true )
& ( inCongP = $true )
& ( upairsetIL = $true )
& ( complementImpComplementIntersect = $true )
& ( setadjoinIR = $true )
& ( setminusI = $true )
& ( iftrue = $true )
& ( wellorderingAx = $true )
& ( kfstsingleton = $true )
& ( demorgan2a2 = $true )
& ( singletonsuniq = $true )
& ( setukpairIR = $true )
& ( binintersectSubset2 = $true )
& ( funcImageSingleton = $true )
& ( demorgan2b2 = $true )
& ( setukpairinjR12 = $true )
& ( vacuousDall = $true )
& ( notinsingleton = $true )
& ( binintersectSubset3 = $true )
& ( cartprodfstpairEq = $true )
& ( omega0Ax = $true )
& ( notequalI1 = $true )
& ( setadjoinAx = $true )
& ( symdiffIneg2 = $true )
& ( sepInPowerset = $true )
& ( setukpairinjR1 = $true )
& ( emptysetE = $true )
& ( upairset2E = $true )
& ( singletonsswitch = $true )
& ( dpsetconstrEL2 = $true )
& ( funcGraphProp1 = $true )
& ( cartprodmempaircEq = $true )
& ( binunionRsub = $true )
& ( setOfPairsIsBReln = $true )
& ( binunionEcases = $true )
& ( emptysetAx = $true )
& ( setunionE = $true )
& ( cartprodpairsurjEq = $true )
& ( inIntersectImpInUnion2 = $true )
& ( setunionAx = $true )
& ( cartprodmempair1 = $true )
& ( woz1_5 = $true )
& ( binintersectTELcontra = $true )
& ( dsetconstrEL = $true )
& ( breln1all2 = $true )
& ( setextsub = $true )
& ( kfstpairEq = $true )
& ( powerset__Cong = $true )
& ( demorgan2 = $true )
& ( breln1compprop = $true )
& ( subbreln = $true )
& ( subsetE2 = $true )
& ( contrasubsetT = $true )
& ( upairsubunion = $true )
& ( upairsetE = $true )
& ( ap2apEq1 = $true )
& ( dpsetconstrI = $true )
& ( setadjoinE = $true )
& ( cartprodpairmemEL = $true )
& ( eqimpsubset1 = $true )
& ( subset2powerset = $true )
& ( dsetconstr__Cong = $true )
& ( breln1compI = $true )
& ( beta2 = $true )
& ( breln1compE = $true )
& ( ksndpairEq = $true )
& ( cartprodmempair = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( binintersectEL = $true )
& ( setukpairinjL = $true )
& ( setextAx = $true )
& ( woz13rule3 = $true )
& ( binintersectI = $true )
& ( demorgan2a = $true )
& ( setbeta = $true )
& ( quantDeMorgan3 = $true )
& ( ksndsingleton = $true )
& ( binintersectTERcontra = $true )
& ( powersetsubset = $true )
& ( dpsetconstrSub = $true )
& ( theprop = $true )
& ( demorgan1 = $true )
& ( exuI2 = $true )
& ( powersetI = $true )
& ( quantDeMorgan4 = $true )
& ( woz13rule1 = $true )
& ( binunionTEcontra = $true )
& ( setadjoin__Cong = $true )
& ( complementTnotintersectT = $true )
& ( exuE3u = $true )
& ( ifp = $true )
& ( binunionTE = $true )
& ( singletoninpowunion = $true )
& ( subsetI1 = $true )
& ( upairequniteq = $true )
& ( notdexE = $true )
& ( subsetTrans = $true )
& ( complementTE1 = $true )
& ( subsetE = $true )
& ( nonemptyI = $true )
& ( setminusEL = $true )
& ( breln1unionIL = $true )
& ( setOfPairsIsBReln1 = $true )
& ( binintersectSubset4 = $true )
& ( beta1 = $true )
& ( cartprodsndin = $true )
& ( powersetTI1 = $true )
& ( lamp = $true )
& ( setminusILneg = $true )
& ( kpairiskpair = $true )
& ( upairinpowunion = $true )
& ( exu__Cong = $true )
& ( nonemptyI1 = $true )
& ( kpairsurjEq = $true )
& ( exuE3e = $true )
& ( demorgan1b = $true )
& ( emptyE1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( complementTcontraSubset = $true )
& ( setminusSubset1 = $true )
& ( setminusT_lem = $true )
& ( iftrueorfalse = $true )
& ( binunionTILcontra = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK443,sK444,sK445,sK446,sK447,sK448]),skolemize(X0,sK443),skolemize(X1,sK444),skolemize(X2,sK445),skolemize(X3,sK446),skolemize(X4,sK447),skolemize(X5,sK448)],[f1754]) ).
thf(f1822,plain,
( ( ( binunionE = $true )
| ? [X2: $i,X1: $i,X0: $i] :
( ( $true
!= ( in @ X0 @ X1 ) )
& ( $true
!= ( in @ X0 @ X2 ) )
& ( $true
= ( in @ X0 @ ( binunion @ X1 @ X2 ) ) ) ) )
& ( ! [X2: $i,X1: $i,X0: $i] :
( ( $true
= ( in @ X0 @ X1 ) )
| ( $true
= ( in @ X0 @ X2 ) )
| ( $true
!= ( in @ X0 @ ( binunion @ X1 @ X2 ) ) ) )
| ( binunionE != $true ) ) ),
inference(nnf_transformation,[],[f975]) ).
thf(f1823,plain,
( ( ( binunionE = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
& ( ( in @ X2 @ X0 )
!= $true )
& ( $true
= ( in @ X2 @ ( binunion @ X1 @ X0 ) ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ X4 ) )
| ( $true
= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ ( binunion @ X4 @ X3 ) ) ) )
| ( binunionE != $true ) ) ),
inference(rectify,[],[f1822]) ).
thf(f1824,plain,
( ( ( binunionE = $true )
| ( ( ( in @ sK518 @ sK517 )
!= $true )
& ( ( in @ sK518 @ sK516 )
!= $true )
& ( ( in @ sK518 @ ( binunion @ sK517 @ sK516 ) )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ X4 ) )
| ( $true
= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ ( binunion @ X4 @ X3 ) ) ) )
| ( binunionE != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK516,sK517,sK518]),skolemize(X0,sK516),skolemize(X1,sK517),skolemize(X2,sK518)],[f1823]) ).
thf(f3097,plain,
binunionE = $true,
inference(cnf_transformation,[],[f1755]) ).
thf(f3121,plain,
( $true
= ( in @ ( kpair @ sK446 @ sK447 ) @ ( binunion @ sK443 @ sK445 ) ) ),
inference(cnf_transformation,[],[f1755]) ).
thf(f3123,plain,
( ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK445 )
!= $true )
| ( $true = sK448 ) ),
inference(cnf_transformation,[],[f1755]) ).
thf(f3124,plain,
( ( $true = sK448 )
| ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK443 )
!= $true ) ),
inference(cnf_transformation,[],[f1755]) ).
thf(f3125,plain,
$true != sK448,
inference(cnf_transformation,[],[f1755]) ).
thf(f3297,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X5 @ ( binunion @ X4 @ X3 ) ) )
| ( $true
= ( in @ X5 @ X4 ) )
| ( binunionE != $true )
| ( $true
= ( in @ X5 @ X3 ) ) ),
inference(cnf_transformation,[],[f1824]) ).
thf(f4167,definition,
( spl1023_1
<=> ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK443 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1023_1])],[avatar_definition]) ).
thf(f4169,plain,
( ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK443 )
!= $true )
| spl1023_1 ),
inference(avatar_component_clause,[],[f4167]) ).
thf(f4171,definition,
( spl1023_2
<=> ( $true = sK448 ) ),
introduced(definition,[new_symbols(definition,[spl1023_2])],[avatar_definition]) ).
thf(f4174,plain,
( ~ spl1023_1
| spl1023_2 ),
inference(avatar_split_clause,[],[f3124,f4171,f4167]) ).
thf(f4175,plain,
~ spl1023_2,
inference(avatar_split_clause,[],[f3125,f4171]) ).
thf(f4177,definition,
( spl1023_3
<=> ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK445 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1023_3])],[avatar_definition]) ).
thf(f4179,plain,
( ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK445 )
!= $true )
| spl1023_3 ),
inference(avatar_component_clause,[],[f4177]) ).
thf(f4180,plain,
( spl1023_2
| ~ spl1023_3 ),
inference(avatar_split_clause,[],[f3123,f4177,f4171]) ).
thf(f4268,plain,
( ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK445 )
= $true )
| ( binunionE != $true )
| ( $true != $true )
| ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK443 )
= $true ) ),
inference(constrained_superposition,[],[f3297,f3121]) ).
thf(f4276,plain,
( ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK443 )
= $true )
| ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK445 )
= $true )
| ( binunionE != $true ) ),
inference(trivial_inequality_removal,[],[f4268]) ).
thf(f4283,plain,
( ( ( in @ ( kpair @ sK446 @ sK447 ) @ sK445 )
= $true )
| ( binunionE != $true )
| spl1023_1 ),
inference(forward_subsumption_resolution,[],[f4276,f4169]) ).
thf(f4289,plain,
( ( binunionE != $true )
| spl1023_1
| spl1023_3 ),
inference(forward_subsumption_resolution,[],[f4283,f4179]) ).
thf(f4313,plain,
( $false
| spl1023_1
| spl1023_3 ),
inference(forward_subsumption_resolution,[],[f4289,f3097]) ).
thf(f4314,plain,
( spl1023_1
| spl1023_3 ),
inference(avatar_contradiction_clause,[],[f4313]) ).
cnf(s1,plain,
( ~ spl1023_1
| spl1023_2 ),
inference(sat_conversion,[],[f4174]) ).
cnf(s2,plain,
~ spl1023_2,
inference(sat_conversion,[],[f4175]) ).
cnf(s3,plain,
( spl1023_2
| ~ spl1023_3 ),
inference(sat_conversion,[],[f4180]) ).
cnf(s7,plain,
( spl1023_1
| spl1023_3 ),
inference(sat_conversion,[],[f4314]) ).
cnf(s10,plain,
~ spl1023_3,
inference(rat,[],[s3,s2]) ).
cnf(s11,plain,
spl1023_1,
inference(rat,[],[s7,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s2,s11]) ).
thf(f4318,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU787^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n002.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 14:31:37 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.27 Running higher-order theorem proving
% 0.34/0.42 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
% 1.20/0.62 % (1371352)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.20/0.62 % (1371361)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3136034110:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.20/0.62 % (1371363)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.20/0.62 % (1371363)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.20/0.62 % (1371358)lrs+10_16_si=on:nwc=1.5:random_seed=441177504:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.20/0.62 % (1371361)Instruction limit reached!
% 1.20/0.62 % (1371361)------------------------------
% 1.20/0.62 % (1371361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.62 % (1371361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.62 % (1371361)CaDiCaL version: 2.1.3
% 1.20/0.62 % (1371361)Termination reason: Instruction limit
% 1.20/0.62 % (1371361)Termination phase: shuffling
% 1.20/0.62 % (1371361)Time elapsed: 0.012 s
% 1.20/0.62 % (1371361)Peak memory usage: 11 MB
% 1.20/0.62 % (1371361)Instructions burned: 26 (million)
% 1.20/0.62 % (1371359)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3407918244:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.20/0.62 % (1371357)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4212772101:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.20/0.62 % (1371360)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=3869493575:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 1.20/0.62 % (1371362)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3082722699:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.20/0.62 % (1371363)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=3235246197:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.20/0.62 % (1371359)Instruction limit reached!
% 1.20/0.62 % (1371359)------------------------------
% 1.20/0.62 % (1371359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.62 % (1371359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.62 % (1371359)CaDiCaL version: 2.1.3
% 1.20/0.62 % (1371359)Termination reason: Instruction limit
% 1.20/0.62 % (1371359)Termination phase: shuffling
% 1.20/0.62 % (1371359)Time elapsed: 0.004 s
% 1.20/0.62 % (1371359)Peak memory usage: 10 MB
% 1.20/0.62 % (1371359)Instructions burned: 4 (million)
% 1.20/0.62 % (1371358)Instruction limit reached!
% 1.20/0.62 % (1371358)------------------------------
% 1.20/0.62 % (1371358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.62 % (1371358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.62 % (1371358)CaDiCaL version: 2.1.3
% 1.20/0.62 % (1371358)Termination reason: Instruction limit
% 1.20/0.62 % (1371358)Termination phase: shuffling
% 1.20/0.62 % (1371358)Time elapsed: 0.015 s
% 1.20/0.62 % (1371358)Peak memory usage: 10 MB
% 1.20/0.62 % (1371358)Instructions burned: 18 (million)
% 1.20/0.62 % (1371369)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3807950281:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.20/0.62 % (1371369)Instruction limit reached!
% 1.20/0.62 % (1371369)------------------------------
% 1.20/0.62 % (1371369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.62 % (1371369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.62 % (1371369)CaDiCaL version: 2.1.3
% 1.20/0.62 % (1371369)Termination reason: Instruction limit
% 1.20/0.62 % (1371369)Termination phase: shuffling
% 1.20/0.62 % (1371369)Time elapsed: 0.002 s
% 1.20/0.62 % (1371369)Peak memory usage: 10 MB
% 1.20/0.62 % (1371369)Instructions burned: 3 (million)
% 1.20/0.62 % (1371372)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2741147126:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.54/0.69 % (1371372)Instruction limit reached!
% 1.54/0.69 % (1371372)------------------------------
% 1.54/0.69 % (1371372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.69 % (1371372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.69 % (1371372)CaDiCaL version: 2.1.3
% 1.54/0.69 % (1371372)Termination reason: Instruction limit
% 1.54/0.69 % (1371372)Termination phase: shuffling
% 1.54/0.69 % (1371372)Time elapsed: 0.003 s
% 1.54/0.69 % (1371372)Peak memory usage: 10 MB
% 1.54/0.69 % (1371372)Instructions burned: 6 (million)
% 1.54/0.69 % (1371373)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.54/0.69 % (1371376)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3908298476:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.54/0.69 % (1371373)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=316931790:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.54/0.69 % (1371376)Instruction limit reached!
% 1.54/0.69 % (1371376)------------------------------
% 1.54/0.69 % (1371376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.69 % (1371376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.69 % (1371376)CaDiCaL version: 2.1.3
% 1.54/0.69 % (1371376)Termination reason: Instruction limit
% 1.54/0.69 % (1371376)Termination phase: shuffling
% 1.54/0.69 % (1371376)Time elapsed: 0.006 s
% 1.54/0.69 % (1371376)Peak memory usage: 10 MB
% 1.54/0.69 % (1371376)Instructions burned: 12 (million)
% 1.54/0.69 % (1371373)Instruction limit reached!
% 1.54/0.69 % (1371373)------------------------------
% 1.54/0.69 % (1371373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.69 % (1371373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.69 % (1371373)CaDiCaL version: 2.1.3
% 1.54/0.69 % (1371373)Termination reason: Instruction limit
% 1.54/0.69 % (1371373)Termination phase: shuffling
% 1.54/0.69 % (1371373)Time elapsed: 0.007 s
% 1.54/0.69 % (1371373)Peak memory usage: 10 MB
% 1.54/0.69 % (1371373)Instructions burned: 8 (million)
% 1.54/0.69 % (1371377)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.54/0.69 % (1371377)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.54/0.69 % (1371377)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3509186329:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.54/0.69 % (1371362)Instruction limit reached!
% 1.54/0.69 % (1371362)------------------------------
% 1.54/0.69 % (1371362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.69 % (1371362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.69 % (1371362)CaDiCaL version: 2.1.3
% 1.54/0.69 % (1371362)Termination reason: Instruction limit
% 1.54/0.69 % (1371362)Termination phase: Preprocessing 3
% 1.54/0.69 % (1371362)Time elapsed: 0.061 s
% 1.54/0.69 % (1371362)Peak memory usage: 12 MB
% 1.54/0.69 % (1371362)Instructions burned: 76 (million)
% 1.54/0.69 % (1371380)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=610638281:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.54/0.69 % (1371357)Instruction limit reached!
% 1.54/0.69 % (1371357)------------------------------
% 1.54/0.69 % (1371357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.69 % (1371357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.69 % (1371357)CaDiCaL version: 2.1.3
% 1.54/0.69 % (1371357)Termination reason: Instruction limit
% 1.54/0.69 % (1371357)Termination phase: Preprocessing 3
% 1.54/0.69 % (1371357)Time elapsed: 0.072 s
% 1.54/0.69 % (1371357)Peak memory usage: 12 MB
% 1.54/0.69 % (1371357)Instructions burned: 87 (million)
% 1.54/0.69 % (1371377)Instruction limit reached!
% 1.54/0.69 % (1371377)------------------------------
% 1.54/0.69 % (1371377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.75 % (1371377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.75 % (1371377)CaDiCaL version: 2.1.3
% 1.78/0.75 % (1371377)Termination reason: Instruction limit
% 1.78/0.75 % (1371377)Termination phase: shuffling
% 1.78/0.75 % (1371377)Time elapsed: 0.023 s
% 1.78/0.75 % (1371377)Peak memory usage: 11 MB
% 1.78/0.75 % (1371377)Instructions burned: 28 (million)
% 1.78/0.75 % (1371381)lrs+10_1_si=on:cs=on:random_seed=3420714706:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.78/0.75 % (1371383)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.78/0.75 % (1371381)Instruction limit reached!
% 1.78/0.75 % (1371381)------------------------------
% 1.78/0.75 % (1371381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.75 % (1371381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.75 % (1371381)CaDiCaL version: 2.1.3
% 1.78/0.75 % (1371381)Termination reason: Instruction limit
% 1.78/0.75 % (1371381)Termination phase: shuffling
% 1.78/0.75 % (1371381)Time elapsed: 0.007 s
% 1.78/0.75 % (1371381)Peak memory usage: 10 MB
% 1.78/0.75 % (1371381)Instructions burned: 8 (million)
% 1.78/0.75 % (1371383)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=2627009466:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.78/0.75 % (1371383)Instruction limit reached!
% 1.78/0.75 % (1371383)------------------------------
% 1.78/0.75 % (1371383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.75 % (1371383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.75 % (1371383)CaDiCaL version: 2.1.3
% 1.78/0.75 % (1371383)Termination reason: Instruction limit
% 1.78/0.75 % (1371383)Termination phase: shuffling
% 1.78/0.75 % (1371383)Time elapsed: 0.003 s
% 1.78/0.75 % (1371383)Peak memory usage: 10 MB
% 1.78/0.75 % (1371383)Instructions burned: 2 (million)
% 1.78/0.75 % (1371380)Instruction limit reached!
% 1.78/0.75 % (1371380)------------------------------
% 1.78/0.75 % (1371380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.75 % (1371380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.75 % (1371380)CaDiCaL version: 2.1.3
% 1.78/0.75 % (1371380)Termination reason: Instruction limit
% 1.78/0.75 % (1371380)Termination phase: Property scanning
% 1.78/0.75 % (1371380)Time elapsed: 0.036 s
% 1.78/0.75 % (1371380)Peak memory usage: 11 MB
% 1.78/0.75 % (1371380)Instructions burned: 87 (million)
% 1.78/0.75 % (1371385)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2579949053:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.78/0.75 % (1371387)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3811790045:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.78/0.75 % (1371390)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1474719334:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.78/0.75 % (1371392)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4249709596:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.78/0.75 % (1371363)Instruction limit reached!
% 1.78/0.75 % (1371363)------------------------------
% 1.78/0.75 % (1371363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.75 % (1371363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.75 % (1371363)CaDiCaL version: 2.1.3
% 1.78/0.75 % (1371363)Termination reason: Instruction limit
% 1.78/0.75 % (1371363)Termination phase: Twee Goal Transformation
% 1.78/0.75 % (1371363)Time elapsed: 0.125 s
% 1.78/0.75 % (1371363)Peak memory usage: 13 MB
% 1.78/0.75 % (1371363)Instructions burned: 158 (million)
% 1.78/0.75 % (1371389)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2617457920:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.78/0.75 % (1371390)Instruction limit reached!
% 1.78/0.75 % (1371390)------------------------------
% 1.78/0.75 % (1371390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.75 % (1371390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.82 % (1371390)CaDiCaL version: 2.1.3
% 2.39/0.82 % (1371390)Termination reason: Instruction limit
% 2.39/0.82 % (1371390)Termination phase: shuffling
% 2.39/0.82 % (1371390)Time elapsed: 0.008 s
% 2.39/0.82 % (1371390)Peak memory usage: 10 MB
% 2.39/0.82 % (1371390)Instructions burned: 16 (million)
% 2.39/0.82 % (1371385)Instruction limit reached!
% 2.39/0.82 % (1371385)------------------------------
% 2.39/0.82 % (1371385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.82 % (1371385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.82 % (1371385)CaDiCaL version: 2.1.3
% 2.39/0.82 % (1371385)Termination reason: Instruction limit
% 2.39/0.82 % (1371385)Termination phase: Property scanning
% 2.39/0.82 % (1371385)Time elapsed: 0.032 s
% 2.39/0.82 % (1371385)Peak memory usage: 11 MB
% 2.39/0.82 % (1371385)Instructions burned: 38 (million)
% 2.39/0.82 % (1371389)Instruction limit reached!
% 2.39/0.82 % (1371389)------------------------------
% 2.39/0.82 % (1371389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.82 % (1371389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.82 % (1371389)CaDiCaL version: 2.1.3
% 2.39/0.82 % (1371389)Termination reason: Instruction limit
% 2.39/0.82 % (1371389)Termination phase: shuffling
% 2.39/0.82 % (1371389)Time elapsed: 0.022 s
% 2.39/0.82 % (1371389)Peak memory usage: 10 MB
% 2.39/0.82 % (1371389)Instructions burned: 26 (million)
% 2.39/0.82 % (1371398)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2681687293:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.39/0.82 % (1371396)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2871735135:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.39/0.82 % (1371399)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=227496615:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.39/0.82 % (1371398)Instruction limit reached!
% 2.39/0.82 % (1371398)------------------------------
% 2.39/0.82 % (1371398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.82 % (1371398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.82 % (1371398)CaDiCaL version: 2.1.3
% 2.39/0.82 % (1371398)Termination reason: Instruction limit
% 2.39/0.82 % (1371398)Termination phase: shuffling
% 2.39/0.82 % (1371398)Time elapsed: 0.003 s
% 2.39/0.82 % (1371398)Peak memory usage: 10 MB
% 2.39/0.82 % (1371398)Instructions burned: 3 (million)
% 2.39/0.82 % (1371396)Instruction limit reached!
% 2.39/0.82 % (1371396)------------------------------
% 2.39/0.82 % (1371396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.82 % (1371396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.82 % (1371396)CaDiCaL version: 2.1.3
% 2.39/0.82 % (1371396)Termination reason: Instruction limit
% 2.39/0.82 % (1371396)Termination phase: shuffling
% 2.39/0.82 % (1371396)Time elapsed: 0.013 s
% 2.39/0.82 % (1371396)Peak memory usage: 10 MB
% 2.39/0.82 % (1371396)Instructions burned: 15 (million)
% 2.39/0.82 % (1371399)Instruction limit reached!
% 2.39/0.82 % (1371399)------------------------------
% 2.39/0.82 % (1371399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.82 % (1371399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.82 % (1371399)CaDiCaL version: 2.1.3
% 2.39/0.82 % (1371399)Termination reason: Instruction limit
% 2.39/0.82 % (1371399)Termination phase: shuffling
% 2.39/0.82 % (1371399)Time elapsed: 0.021 s
% 2.39/0.82 % (1371399)Peak memory usage: 11 MB
% 2.39/0.82 % (1371399)Instructions burned: 26 (million)
% 2.39/0.82 % (1371404)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=950519152:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.39/0.82 % (1371400)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=495710007:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.39/0.82 % (1371407)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.39/0.82 % (1371405)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
% 3.00/0.94 % (1371405)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 3.00/0.94 % (1371407)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=2972534603:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 3.00/0.94 % (1371400)Instruction limit reached!
% 3.00/0.94 % (1371400)------------------------------
% 3.00/0.94 % (1371400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.94 % (1371400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.94 % (1371400)CaDiCaL version: 2.1.3
% 3.00/0.94 % (1371400)Termination reason: Instruction limit
% 3.00/0.94 % (1371400)Termination phase: shuffling
% 3.00/0.94 % (1371400)Time elapsed: 0.019 s
% 3.00/0.94 % (1371400)Peak memory usage: 11 MB
% 3.00/0.94 % (1371400)Instructions burned: 23 (million)
% 3.00/0.94 % (1371405)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=1320078364:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 3.00/0.94 % (1371407)Instruction limit reached!
% 3.00/0.94 % (1371407)------------------------------
% 3.00/0.94 % (1371407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.94 % (1371407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.94 % (1371407)CaDiCaL version: 2.1.3
% 3.00/0.94 % (1371407)Termination reason: Instruction limit
% 3.00/0.94 % (1371407)Termination phase: shuffling
% 3.00/0.94 % (1371407)Time elapsed: 0.008 s
% 3.00/0.94 % (1371407)Peak memory usage: 10 MB
% 3.00/0.94 % (1371407)Instructions burned: 10 (million)
% 3.00/0.94 % (1371405)Instruction limit reached!
% 3.00/0.94 % (1371405)------------------------------
% 3.00/0.94 % (1371405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.94 % (1371405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.94 % (1371405)CaDiCaL version: 2.1.3
% 3.00/0.94 % (1371405)Termination reason: Instruction limit
% 3.00/0.94 % (1371405)Termination phase: shuffling
% 3.00/0.94 % (1371405)Time elapsed: 0.012 s
% 3.00/0.94 % (1371405)Peak memory usage: 10 MB
% 3.00/0.94 % (1371405)Instructions burned: 14 (million)
% 3.00/0.94 % (1371412)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=852435355:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 3.00/0.94 % (1371404)Instruction limit reached!
% 3.00/0.94 % (1371404)------------------------------
% 3.00/0.94 % (1371404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.94 % (1371404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.94 % (1371404)CaDiCaL version: 2.1.3
% 3.00/0.94 % (1371404)Termination reason: Instruction limit
% 3.00/0.94 % (1371404)Termination phase: Naming
% 3.00/0.94 % (1371404)Time elapsed: 0.052 s
% 3.00/0.94 % (1371404)Peak memory usage: 11 MB
% 3.00/0.94 % (1371404)Instructions burned: 61 (million)
% 3.00/0.94 % (1371411)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=1869344402:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 3.00/0.94 % (1371412)Instruction limit reached!
% 3.00/0.94 % (1371412)------------------------------
% 3.00/0.94 % (1371412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.94 % (1371412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.94 % (1371412)CaDiCaL version: 2.1.3
% 3.00/0.94 % (1371412)Termination reason: Instruction limit
% 3.00/0.94 % (1371412)Termination phase: shuffling
% 3.00/0.94 % (1371412)Time elapsed: 0.004 s
% 3.00/0.94 % (1371412)Peak memory usage: 10 MB
% 3.00/0.94 % (1371412)Instructions burned: 8 (million)
% 3.00/0.94 % (1371413)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3589065972:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 3.00/0.94 % (1371392)Instruction limit reached!
% 3.00/0.94 % (1371392)------------------------------
% 3.00/0.94 % (1371392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.94 % (1371392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.94 % (1371392)CaDiCaL version: 2.1.3
% 4.42/1.05 % (1371392)Termination reason: Instruction limit
% 4.42/1.05 % (1371392)Termination phase: Saturation
% 4.42/1.05 % (1371392)Time elapsed: 0.136 s
% 4.42/1.05 % (1371392)Peak memory usage: 15 MB
% 4.42/1.05 % (1371392)Instructions burned: 328 (million)
% 4.42/1.05 % (1371417)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1228695722:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 4.42/1.05 % (1371411)Instruction limit reached!
% 4.42/1.05 % (1371411)------------------------------
% 4.42/1.05 % (1371411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.42/1.05 % (1371411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.05 % (1371411)CaDiCaL version: 2.1.3
% 4.42/1.05 % (1371411)Termination reason: Instruction limit
% 4.42/1.05 % (1371411)Termination phase: shuffling
% 4.42/1.05 % (1371411)Time elapsed: 0.026 s
% 4.42/1.05 % (1371411)Peak memory usage: 10 MB
% 4.42/1.05 % (1371411)Instructions burned: 31 (million)
% 4.42/1.05 % (1371415)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1206397377:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 4.42/1.05 % (1371413)Instruction limit reached!
% 4.42/1.05 % (1371413)------------------------------
% 4.42/1.05 % (1371413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.42/1.05 % (1371413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.05 % (1371413)CaDiCaL version: 2.1.3
% 4.42/1.05 % (1371413)Termination reason: Instruction limit
% 4.42/1.05 % (1371413)Termination phase: shuffling
% 4.42/1.05 % (1371413)Time elapsed: 0.020 s
% 4.42/1.05 % (1371413)Peak memory usage: 10 MB
% 4.42/1.05 % (1371413)Instructions burned: 23 (million)
% 4.42/1.05 % (1371419)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2473092501:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 4.42/1.05 % (1371415)Instruction limit reached!
% 4.42/1.05 % (1371415)------------------------------
% 4.42/1.05 % (1371415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.42/1.05 % (1371415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.05 % (1371415)CaDiCaL version: 2.1.3
% 4.42/1.05 % (1371415)Termination reason: Instruction limit
% 4.42/1.05 % (1371415)Termination phase: shuffling
% 4.42/1.05 % (1371415)Time elapsed: 0.018 s
% 4.42/1.05 % (1371415)Peak memory usage: 10 MB
% 4.42/1.05 % (1371415)Instructions burned: 21 (million)
% 4.42/1.05 % (1371423)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=86537133:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 4.42/1.05 % (1371421)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1245216275:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 4.42/1.05 % (1371387)Instruction limit reached!
% 4.42/1.05 % (1371387)------------------------------
% 4.42/1.05 % (1371387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.42/1.05 % (1371387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.05 % (1371387)CaDiCaL version: 2.1.3
% 4.42/1.05 % (1371387)Termination reason: Instruction limit
% 4.42/1.05 % (1371387)Termination phase: Saturation
% 4.42/1.05 % (1371387)Time elapsed: 0.194 s
% 4.42/1.05 % (1371387)Peak memory usage: 15 MB
% 4.42/1.05 % (1371387)Instructions burned: 250 (million)
% 4.42/1.05 % (1371425)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 4.42/1.05 % (1371423)Instruction limit reached!
% 4.42/1.05 % (1371423)------------------------------
% 4.42/1.05 % (1371423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.42/1.05 % (1371423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.05 % (1371423)CaDiCaL version: 2.1.3
% 4.42/1.05 % (1371423)Termination reason: Instruction limit
% 4.42/1.05 % (1371423)Termination phase: shuffling
% 4.42/1.05 % (1371423)Time elapsed: 0.024 s
% 4.42/1.05 % (1371423)Peak memory usage: 11 MB
% 4.42/1.05 % (1371423)Instructions burned: 43 (million)
% 4.42/1.05 % (1371425)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2565593946:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 4.42/1.05 % (1371425)Instruction limit reached!
% 4.42/1.05 % (1371425)------------------------------
% 4.42/1.05 % (1371425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1371425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1371425)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1371425)Termination reason: Instruction limit
% 5.37/1.22 % (1371425)Termination phase: shuffling
% 5.37/1.22 % (1371425)Time elapsed: 0.006 s
% 5.37/1.22 % (1371425)Peak memory usage: 10 MB
% 5.37/1.22 % (1371425)Instructions burned: 7 (million)
% 5.37/1.22 % (1371428)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=198548395:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 5.37/1.22 % (1371429)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=797936715:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 5.37/1.22 % (1371431)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 5.37/1.22 % (1371431)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=386491114:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 5.37/1.22 % (1371431)Instruction limit reached!
% 5.37/1.22 % (1371431)------------------------------
% 5.37/1.22 % (1371431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1371431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1371431)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1371431)Termination reason: Instruction limit
% 5.37/1.22 % (1371431)Termination phase: shuffling
% 5.37/1.22 % (1371431)Time elapsed: 0.003 s
% 5.37/1.22 % (1371431)Peak memory usage: 10 MB
% 5.37/1.22 % (1371431)Instructions burned: 6 (million)
% 5.37/1.22 % (1371435)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4189855343:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 5.37/1.22 % (1371435)Instruction limit reached!
% 5.37/1.22 % (1371435)------------------------------
% 5.37/1.22 % (1371435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1371435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1371435)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1371435)Termination reason: Instruction limit
% 5.37/1.22 % (1371435)Termination phase: shuffling
% 5.37/1.22 % (1371435)Time elapsed: 0.013 s
% 5.37/1.22 % (1371435)Peak memory usage: 11 MB
% 5.37/1.22 % (1371435)Instructions burned: 23 (million)
% 5.37/1.22 % (1371419)Instruction limit reached!
% 5.37/1.22 % (1371419)------------------------------
% 5.37/1.22 % (1371419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1371419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1371419)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1371419)Termination reason: Instruction limit
% 5.37/1.22 % (1371419)Termination phase: Twee Goal Transformation
% 5.37/1.22 % (1371419)Time elapsed: 0.114 s
% 5.37/1.22 % (1371419)Peak memory usage: 12 MB
% 5.37/1.22 % (1371419)Instructions burned: 144 (million)
% 5.37/1.22 % (1371437)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2975354194:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 5.37/1.22 % (1371438)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=936355164:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 5.37/1.22 % (1371437)Instruction limit reached!
% 5.37/1.22 % (1371437)------------------------------
% 5.37/1.22 % (1371437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1371437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.22 % (1371437)CaDiCaL version: 2.1.3
% 5.37/1.22 % (1371437)Termination reason: Instruction limit
% 5.37/1.22 % (1371437)Termination phase: shuffling
% 5.37/1.22 % (1371437)Time elapsed: 0.017 s
% 5.37/1.22 % (1371437)Peak memory usage: 10 MB
% 5.37/1.22 % (1371437)Instructions burned: 19 (million)
% 5.37/1.22 % (1371421)Instruction limit reached!
% 5.37/1.22 % (1371421)------------------------------
% 5.37/1.22 % (1371421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.37/1.22 % (1371421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371421)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371421)Termination reason: Instruction limit
% 6.16/1.36 % (1371421)Termination phase: Property scanning
% 6.16/1.36 % (1371421)Time elapsed: 0.150 s
% 6.16/1.36 % (1371421)Peak memory usage: 13 MB
% 6.16/1.36 % (1371421)Instructions burned: 193 (million)
% 6.16/1.36 % (1371441)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=1357764930:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 6.16/1.36 % (1371429)Instruction limit reached!
% 6.16/1.36 % (1371429)------------------------------
% 6.16/1.36 % (1371429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371429)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371429)Termination reason: Instruction limit
% 6.16/1.36 % (1371429)Termination phase: Property scanning
% 6.16/1.36 % (1371429)Time elapsed: 0.138 s
% 6.16/1.36 % (1371429)Peak memory usage: 12 MB
% 6.16/1.36 % (1371429)Instructions burned: 169 (million)
% 6.16/1.36 % (1371428)Instruction limit reached!
% 6.16/1.36 % (1371428)------------------------------
% 6.16/1.36 % (1371428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371428)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371428)Termination reason: Instruction limit
% 6.16/1.36 % (1371428)Termination phase: Property scanning
% 6.16/1.36 % (1371428)Time elapsed: 0.143 s
% 6.16/1.36 % (1371428)Peak memory usage: 12 MB
% 6.16/1.36 % (1371428)Instructions burned: 184 (million)
% 6.16/1.36 % (1371442)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=1890807003:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2994 on theBenchmark for (2994ds/45Mi)
% 6.16/1.36 % (1371445)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=524648383:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 6.16/1.36 % (1371446)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=659920914:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 6.16/1.36 % (1371442)Instruction limit reached!
% 6.16/1.36 % (1371442)------------------------------
% 6.16/1.36 % (1371442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371442)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371442)Termination reason: Instruction limit
% 6.16/1.36 % (1371442)Termination phase: shuffling
% 6.16/1.36 % (1371442)Time elapsed: 0.039 s
% 6.16/1.36 % (1371442)Peak memory usage: 11 MB
% 6.16/1.36 % (1371442)Instructions burned: 46 (million)
% 6.16/1.36 % (1371446)Instruction limit reached!
% 6.16/1.36 % (1371446)------------------------------
% 6.16/1.36 % (1371446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371446)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371446)Termination reason: Instruction limit
% 6.16/1.36 % (1371446)Termination phase: shuffling
% 6.16/1.36 % (1371446)Time elapsed: 0.019 s
% 6.16/1.36 % (1371446)Peak memory usage: 10 MB
% 6.16/1.36 % (1371446)Instructions burned: 22 (million)
% 6.16/1.36 % (1371360)Instruction limit reached!
% 6.16/1.36 % (1371360)------------------------------
% 6.16/1.36 % (1371360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371360)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371360)Termination reason: Instruction limit
% 6.16/1.36 % (1371360)Termination phase: Saturation
% 6.16/1.36 % (1371360)Time elapsed: 0.560 s
% 6.16/1.36 % (1371360)Peak memory usage: 21 MB
% 6.16/1.36 % (1371360)Instructions burned: 634 (million)
% 6.16/1.36 % (1371449)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 6.16/1.36 % (1371449)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3621890905:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 6.16/1.36 % (1371450)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1184938405:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2993 on theBenchmark for (2993ds/13Mi)
% 6.16/1.36 % (1371451)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=1392667117:i=66:s2at=3:nm=2:rtra=on:rawr=on_2993 on theBenchmark for (2993ds/66Mi)
% 6.16/1.36 % (1371450)Instruction limit reached!
% 6.16/1.36 % (1371450)------------------------------
% 6.16/1.36 % (1371450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371450)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371450)Termination reason: Instruction limit
% 6.16/1.36 % (1371450)Termination phase: shuffling
% 6.16/1.36 % (1371450)Time elapsed: 0.012 s
% 6.16/1.36 % (1371450)Peak memory usage: 10 MB
% 6.16/1.36 % (1371450)Instructions burned: 13 (million)
% 6.16/1.36 % (1371455)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1621018481:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 6.16/1.36 % (1371451)Instruction limit reached!
% 6.16/1.36 % (1371451)------------------------------
% 6.16/1.36 % (1371451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371451)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371451)Termination reason: Instruction limit
% 6.16/1.36 % (1371451)Termination phase: Property scanning
% 6.16/1.36 % (1371451)Time elapsed: 0.052 s
% 6.16/1.36 % (1371451)Peak memory usage: 11 MB
% 6.16/1.36 % (1371451)Instructions burned: 66 (million)
% 6.16/1.36 % (1371455)Instruction limit reached!
% 6.16/1.36 % (1371455)------------------------------
% 6.16/1.36 % (1371455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371455)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371455)Termination reason: Instruction limit
% 6.16/1.36 % (1371455)Termination phase: Property scanning
% 6.16/1.36 % (1371455)Time elapsed: 0.042 s
% 6.16/1.36 % (1371455)Peak memory usage: 11 MB
% 6.16/1.36 % (1371455)Instructions burned: 51 (million)
% 6.16/1.36 % (1371457)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3293064974:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 6.16/1.36 % (1371438)Instruction limit reached!
% 6.16/1.36 % (1371438)------------------------------
% 6.16/1.36 % (1371438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371438)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371438)Termination reason: Instruction limit
% 6.16/1.36 % (1371438)Termination phase: Saturation
% 6.16/1.36 % (1371438)Time elapsed: 0.254 s
% 6.16/1.36 % (1371438)Peak memory usage: 16 MB
% 6.16/1.36 % (1371438)Instructions burned: 316 (million)
% 6.16/1.36 % (1371458)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=72355271:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2992 on theBenchmark for (2992ds/137Mi)
% 6.16/1.36 % (1371457)Instruction limit reached!
% 6.16/1.36 % (1371457)------------------------------
% 6.16/1.36 % (1371457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371457)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371457)Termination reason: Instruction limit
% 6.16/1.36 % (1371457)Termination phase: shuffling
% 6.16/1.36 % (1371457)Time elapsed: 0.026 s
% 6.16/1.36 % (1371457)Peak memory usage: 11 MB
% 6.16/1.36 % (1371457)Instructions burned: 31 (million)
% 6.16/1.36 % (1371460)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=2936140699:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.16/1.36 % (1371449)Instruction limit reached!
% 6.16/1.36 % (1371449)------------------------------
% 6.16/1.36 % (1371449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371449)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371449)Termination reason: Instruction limit
% 6.16/1.36 % (1371449)Termination phase: Saturation
% 6.16/1.36 % (1371449)Time elapsed: 0.160 s
% 6.16/1.36 % (1371449)Peak memory usage: 14 MB
% 6.16/1.36 % (1371449)Instructions burned: 201 (million)
% 6.16/1.36 % (1371462)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=304687190:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 6.16/1.36 % (1371460)Instruction limit reached!
% 6.16/1.36 % (1371460)------------------------------
% 6.16/1.36 % (1371460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371460)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371460)Termination reason: Instruction limit
% 6.16/1.36 % (1371460)Termination phase: shuffling
% 6.16/1.36 % (1371460)Time elapsed: 0.029 s
% 6.16/1.36 % (1371460)Peak memory usage: 11 MB
% 6.16/1.36 % (1371460)Instructions burned: 34 (million)
% 6.16/1.36 % (1371464)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 6.16/1.36 % (1371464)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2067804040:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 6.16/1.36 % (1371417) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1371352-1371417"...
% 6.16/1.36 % (1371466)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1827228190:st=2:i=246:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/246Mi)
% 6.16/1.36 % (1371462)Instruction limit reached!
% 6.16/1.36 % (1371462)------------------------------
% 6.16/1.36 % (1371462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371462)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371462)Termination reason: Instruction limit
% 6.16/1.36 % (1371462)Termination phase: Property scanning
% 6.16/1.36 % (1371462)Time elapsed: 0.055 s
% 6.16/1.36 % (1371462)Peak memory usage: 11 MB
% 6.16/1.36 % (1371462)Instructions burned: 67 (million)
% 6.16/1.36 % (1371458)Instruction limit reached!
% 6.16/1.36 % (1371458)------------------------------
% 6.16/1.36 % (1371458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371458)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371458)Termination reason: Instruction limit
% 6.16/1.36 % (1371458)Termination phase: Twee Goal Transformation
% 6.16/1.36 % (1371458)Time elapsed: 0.109 s
% 6.16/1.36 % (1371458)Peak memory usage: 12 MB
% 6.16/1.36 % (1371458)Instructions burned: 138 (million)
% 6.16/1.36 % (1371469)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2163621412:cond=on:i=96:bd=all:rtra=on_2991 on theBenchmark for (2991ds/96Mi)
% 6.16/1.36 % (1371464)Instruction limit reached!
% 6.16/1.36 % (1371464)------------------------------
% 6.16/1.36 % (1371464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.36 % (1371464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.36 % (1371464)CaDiCaL version: 2.1.3
% 6.16/1.36 % (1371464)Termination reason: Instruction limit
% 6.16/1.36 % (1371464)Termination phase: Saturation
% 6.16/1.36 % (1371464)Time elapsed: 0.088 s
% 6.16/1.36 % (1371464)Peak memory usage: 13 MB
% 6.16/1.36 % (1371464)Instructions burned: 180 (million)
% 6.16/1.36 % (1371470)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3495539410:i=427:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/427Mi)
% 6.16/1.36 % (1371445) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1371352-1371445"...
% 6.16/1.36 % (1371445)...printing done.
% 6.16/1.36 % (1371445)Refutation found. Thanks to Tanya!
% 6.16/1.36 % SZS status Theorem for theBenchmark
% 6.16/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 6.16/1.37 % (1371445)------------------------------
% 6.16/1.37 % (1371445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.37 % (1371445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.37 % (1371445)CaDiCaL version: 2.1.3
% 6.16/1.37 % (1371445)Termination reason: Refutation
% 6.16/1.37 % (1371445)Time elapsed: 0.338 s
% 6.16/1.37 % (1371445)Peak memory usage: 19 MB
% 6.16/1.37 % (1371445)Instructions burned: 381 (million)
% 6.16/1.37 % (1371352)Success in time 0.933 s
% 6.16/1.37 % Vampire exiting
%------------------------------------------------------------------------------