%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU775^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:31:17 AM UTC 2026
% Result : Theorem 2.45s 0.55s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 5347 (1482 equ; 0 cnn)
% Maximal formula atoms : 293 ( 205 avg)
% Number of connectives : 2529 ( 10 ~; 0 |;1168 &; 175 @)
% ( 0 <=>;1168 =>; 0 <=; 0 <~>)
% Maximal formula depth : 299 ( 92 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 449 ( 445 usr; 296 con; 0-4 aty)
% ( 8 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 68 ( 44 ^; 18 !; 6 ?; 68 :)
% 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,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_340,type,
vIMP: $o > $o > $o ).
thf(func_def_341,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_342,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_343,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_344,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_345,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_346,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_347,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_348,type,
vAND: $o > $o > $o ).
thf(func_def_349,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_350,type,
vOR: $o > $o > $o ).
thf(func_def_351,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_352,type,
vNOT: $o > $o ).
thf(func_def_353,type,
vIFF: $o > $o > $o ).
thf(func_def_356,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_359,type,
sK2: ( $i > $o ) > $i > ( $i > $o ) > $i > $i ).
thf(func_def_360,type,
sK3: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_361,type,
sK4: $i > $i > $i > $i ).
thf(func_def_362,type,
sK5: $i > $i > $i > $i ).
thf(func_def_363,type,
sK6: $i > $i > $i > $i ).
thf(func_def_364,type,
sK7: $i > $i > $i > $i ).
thf(func_def_365,type,
sK8: $i > $i > $i > $i ).
thf(func_def_366,type,
sK9: $i > $i > $i > $i ).
thf(func_def_367,type,
sK10: $i > $i > $i > $i ).
thf(func_def_368,type,
sK11: $i > $i > $i > $i ).
thf(func_def_369,type,
sK12: $i > $i > $i > $i ).
thf(func_def_370,type,
sK13: $i > $i > $i ).
thf(func_def_371,type,
sK14: ( $i > $o ) > $i > $i ).
thf(func_def_372,type,
sK15: $i > ( $i > $o ) > $i ).
thf(func_def_373,type,
sK16: $i > $i > $i ).
thf(func_def_374,type,
sK17: ( $i > $o ) > $i ).
thf(func_def_375,type,
sK18: $i > $i > $i ).
thf(func_def_376,type,
sK19: $i > ( $i > $o ) > $i ).
thf(func_def_377,type,
sK20: $i > $i > $i > $i > $i ).
thf(func_def_378,type,
sK21: $i > $i > $i > $i > $i ).
thf(func_def_379,type,
sK22: $i > $i > $i ).
thf(func_def_380,type,
sK23: $i > ( $i > $o ) > $i ).
thf(func_def_381,type,
sK24: $i > ( $i > $i ) > $i > $i ).
thf(func_def_382,type,
sK25: $i > $i > $i ).
thf(func_def_383,type,
sK26: $i > $i > $i ).
thf(func_def_384,type,
sK27: $i > $i ).
thf(func_def_385,type,
sK28: $i > $i > ( $i > $o ) > $i > $i ).
thf(func_def_386,type,
sK29: $i > $i > ( $i > $o ) > $i > $i ).
thf(func_def_387,type,
sK30: $i > ( $i > $o ) > $i ).
thf(func_def_388,type,
sK31: $i > ( $i > $o ) > $i ).
thf(func_def_389,type,
sK32: ( $i > $o ) > $i > $i ).
thf(func_def_390,type,
sK33: $i > $o > $i > $i ).
thf(func_def_391,type,
sK34: $i > ( $i > $o ) > $i > $i ).
thf(func_def_392,type,
sK35: $i > ( $i > $o ) > $i > $i ).
thf(func_def_393,type,
sK36: $i > $i > $i > $i > $i ).
thf(func_def_394,type,
sK37: $i > $i > $i > $i > $i ).
thf(func_def_395,type,
sK38: $i > $i > $i > $i > $i ).
thf(func_def_396,type,
sK39: $i > $i > $i > $i > $i ).
thf(func_def_397,type,
sK40: $i > $i > $i > $i > $i ).
thf(func_def_398,type,
sK41: $i > ( $i > $o ) > $i > $i ).
thf(func_def_399,type,
sK42: $i > $i > $i > $i > $i ).
thf(func_def_400,type,
sK43: $i > $i > $i > $i ).
thf(func_def_401,type,
sK44: $i > $i > $i > $i > $i ).
thf(func_def_402,type,
sK45: $i > $i > ( $i > $o ) > $i ).
thf(func_def_403,type,
sK46: $i > $i > ( $i > $o ) > $i ).
thf(func_def_404,type,
sK47: $i > ( $i > $o ) > $i ).
thf(func_def_405,type,
sK48: $i > ( $i > $o ) > $i ).
thf(func_def_406,type,
sK49: $i > $i ).
thf(func_def_407,type,
sK50: ( $i > $o ) > $i ).
thf(func_def_408,type,
sK51: ( $i > $o ) > $i ).
thf(func_def_409,type,
sK52: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_410,type,
sK53: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_411,type,
sK54: $i > $i > $i ).
thf(func_def_412,type,
sK55: $i > $i > $i ).
thf(func_def_413,type,
sK56: $i > ( $i > $i > $o ) > $i ).
thf(func_def_414,type,
sK57: $i > ( $i > $i > $o ) > $i ).
thf(func_def_415,type,
sK58: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_416,type,
sK59: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_417,type,
sK60: ( $i > $o ) > $i > $i ).
thf(func_def_418,type,
sK61: $i > $i ).
thf(func_def_419,type,
sK62: $i > $i > $i ).
thf(func_def_420,type,
sK63: $i > $i ).
thf(func_def_421,type,
sK64: $i > $i > ( $i > $i ) > $i ).
thf(func_def_422,type,
sK65: ( $i > $o ) > $i > $i ).
thf(func_def_423,type,
sK66: ( $i > $o ) > $i ).
thf(func_def_424,type,
sK67: $i > ( $i > $i ) > $i > $i ).
thf(func_def_425,type,
sK68: ( $i > $i ) > $i > $i > $i ).
thf(func_def_426,type,
sK69: ( $i > $o ) > $i ).
thf(func_def_427,type,
sK70: ( $i > $o ) > $i > $i ).
thf(func_def_428,type,
sK71: $i > $i > $i > $i ).
thf(func_def_429,type,
sK72: $i > $i > $i > $i ).
thf(func_def_430,type,
sK73: $i > ( $i > $i ) > $i > $i ).
thf(func_def_431,type,
sK74: $i > $i > $i > $i ).
thf(func_def_432,type,
sK75: $i > $i > $i > $i ).
thf(func_def_433,type,
sK76: $i > $i > $i > ( $i > $o ) > $i ).
thf(func_def_434,type,
sK77: $i > $i > ( $i > $o ) > $i > $i ).
thf(func_def_435,type,
sK78: $i > $i > $i > $i > $i ).
thf(func_def_436,type,
sK79: $i > $i ).
thf(func_def_437,type,
sK80: $i > $i > $i ).
thf(func_def_438,type,
sK81: $i > $i > $i ).
thf(func_def_439,type,
sK82: $i > $i > $i ).
thf(func_def_440,type,
sK83: $i > $i > $i ).
thf(func_def_441,type,
sK84: $i > $i > $i > $i ).
thf(func_def_442,type,
sK85: ( $i > $i ) > $i > $i > $i ).
thf(func_def_443,type,
sK86: $i > $i ).
thf(func_def_444,type,
sK87: $i > ( $i > $o ) > $i ).
thf(func_def_445,type,
sK88: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_446,type,
sK89: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_447,type,
sK90: $i > $i ).
thf(func_def_448,type,
sK91: $i > $i > $i ).
thf(f292,axiom,
! [X1: $i > $i > $o,X0: $i] :
( ( breln1 @ X0
@ ( dpsetconstr @ X0 @ X0
@ ^ [X2: $i,X3: $i] : ( X1 @ X2 @ X3 ) ) )
= setOfPairsIsBReln1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setOfPairsIsBReln1) ).
thf(f296,axiom,
( ( ^ [X0: $i,X1: $i] :
( dpsetconstr @ X0 @ X0
@ ^ [X2: $i,X3: $i] : ( in @ ( kpair @ X3 @ X2 ) @ X1 ) ) )
= breln1invset ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1invset) ).
thf(f297,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
=> ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ( breln1 @ X0 @ ( breln1invset @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1invprop) ).
thf(f298,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
=> ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ( breln1 @ X0 @ ( breln1invset @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f297]) ).
thf(f499,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( breln1 @ X1
@ ( dpsetconstr @ X1 @ X1
@ ^ [X2: $i,X3: $i] : ( X0 @ X2 @ X3 ) ) )
= setOfPairsIsBReln1 ),
inference(rectify,[],[f292]) ).
thf(f500,plain,
( setOfPairsIsBReln1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( breln1 @ Y0
@ ( dpsetconstr @ Y0 @ Y0
@ ^ [Y2: $i,Y3: $i] : ( Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(fool_elimination,[],[f499]) ).
thf(f666,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
=> ! [X0: $i,X1: $i] :
( ( breln1 @ X0 @ X1 )
=> ( breln1 @ X0 @ ( breln1invset @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f298]) ).
thf(f667,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 )
=> ! [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ X1 )
= $true )
=> ( ( breln1 @ X0 @ ( breln1invset @ X0 @ X1 ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f666]) ).
thf(f759,plain,
( ( ^ [X0: $i,X1: $i] :
( dpsetconstr @ X0 @ X0
@ ^ [X2: $i,X3: $i] : ( in @ ( kpair @ X3 @ X2 ) @ X1 ) ) )
= breln1invset ),
inference(rectify,[],[f296]) ).
thf(f760,plain,
( breln1invset
= ( ^ [Y0: $i,Y1: $i] :
( dpsetconstr @ Y0 @ Y0
@ ^ [Y2: $i,Y3: $i] : ( in @ ( kpair @ Y3 @ Y2 ) @ Y1 ) ) ) ),
inference(fool_elimination,[],[f759]) ).
thf(f877,plain,
( ? [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ ( breln1invset @ X0 @ X1 ) )
!= $true )
& ( ( breln1 @ X0 @ X1 )
= $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,[],[f667]) ).
thf(f878,plain,
( ( subbreln = $true )
& ( breln1all2 = $true )
& ( cartprodfstin = $true )
& ( powersetT_lem = $true )
& ( setminusLsub = $true )
& ( iftrueProp2 = $true )
& ( notdexE = $true )
& ( doubleComplementSub2 = $true )
& ( complementTE1 = $true )
& ( singletoninpowunion = $true )
& ( setminusILneg = $true )
& ( theeq = $true )
& ( setadjoinSub = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( sepInPowerset = $true )
& ( kfstsingleton = $true )
& ( binintersectTERcontra = $true )
& ( iffalse = $true )
& ( app = $true )
& ( ex1E2 = $true )
& ( setunionAx = $true )
& ( upairsetIL = $true )
& ( setunionI = $true )
& ( cartprodsndpairEq = $true )
& ( secondinupair = $true )
& ( powersetTE1 = $true )
& ( cartprodpairmemER = $true )
& ( demorgan1a = $true )
& ( exuE3u = $true )
& ( binunionTEcontra = $true )
& ( setunionsingleton2 = $true )
& ( ex1I = $true )
& ( funcGraphProp1 = $true )
& ( setukpairIR = $true )
& ( dpsetconstrER = $true )
& ( demorgan2 = $true )
& ( prop2set2propI = $true )
& ( notdallE = $true )
& ( woz13rule1 = $true )
& ( singletonprop = $true )
& ( upairsetE = $true )
& ( ifSingleton = $true )
& ( quantDeMorgan3 = $true )
& ( funcGraphProp3 = $true )
& ( quantDeMorgan1 = $true )
& ( dpsetconstrERa = $true )
& ( setextAx = $true )
& ( notequalI1 = $true )
& ( setminusEL = $true )
& ( eqbreln1 = $true )
& ( lam2lamEq = $true )
& ( funcextLem = $true )
& ( binintersectRsub = $true )
& ( setminusSubset2 = $true )
& ( powerset__Cong = $true )
& ( setukpairIL = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( upairsetIR = $true )
& ( funcinfuncset = $true )
& ( nonemptyE1 = $true )
& ( woz1_2 = $true )
& ( foundationAx = $true )
& ( funcext2 = $true )
& ( prop2setI = $true )
& ( complementSubsetComplementIntersect = $true )
& ( binintersectSubset2 = $true )
& ( kpairsurjEq = $true )
& ( setextsub = $true )
& ( contrasubsetT2 = $true )
& ( subsetTI = $true )
& ( demorgan2b = $true )
& ( omega__Cong = $true )
& ( exuE3e = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setminusIRneg = $true )
& ( setunionsingleton1 = $true )
& ( woz1_3 = $true )
& ( funcext = $true )
& ( apProp = $true )
& ( disjointsetsI1 = $true )
& ( nonemptyI1 = $true )
& ( ubforcartprodlem3 = $true )
& ( emptyI = $true )
& ( demorgan2a = $true )
& ( powersetE = $true )
& ( funcGraphProp4 = $true )
& ( upairsubunion = $true )
& ( subset2powerset = $true )
& ( beta1 = $true )
& ( cartprodmempair1 = $true )
& ( funcGraphProp2 = $true )
& ( singletonsswitch = $true )
& ( breln1SetBreln1 = $true )
& ( ex1E1 = $true )
& ( exuI1 = $true )
& ( binintersectER = $true )
& ( inPowerset = $true )
& ( omegaIndAx = $true )
& ( uniqinunit = $true )
& ( exuI3 = $true )
& ( setadjoinIL = $true )
& ( cartprodpairin = $true )
& ( iftrueorfalse = $true )
& ( dsetconstrER = $true )
& ( emptysetAx = $true )
& ( dsetconstr__Cong = $true )
& ( upairset2E = $true )
& ( dpsetconstrSub = $true )
& ( setadjoinAx = $true )
& ( iffalseProp1 = $true )
& ( binunionTILcontra = $true )
& ( binunionIR = $true )
& ( eqimpsubset2 = $true )
& ( complementImpComplementIntersect = $true )
& ( lam2p = $true )
& ( contraSubsetComplement = $true )
& ( iftrueProp1 = $true )
& ( beta2 = $true )
& ( contrasubsetT3 = $true )
& ( setoftrueEq = $true )
& ( ifp = $true )
& ( subsetRefl = $true )
& ( dpsetconstrEL2 = $true )
& ( demorgan1 = $true )
& ( breln1all1 = $true )
& ( binunionT_lem = $true )
& ( setext = $true )
& ( inIntersectImpInUnion = $true )
& ( subsetI2 = $true )
& ( inCongP = $true )
& ( setadjoinSub2 = $true )
& ( setukpairinjL = $true )
& ( demorgan2a1 = $true )
& ( eqinunit = $true )
& ( subbreln1 = $true )
& ( notequalI2 = $true )
& ( cartprodfstpairEq = $true )
& ( subsetE2 = $true )
& ( sepSubset = $true )
& ( binintersectSubset3 = $true )
& ( bs114d = $true )
& ( prop2setE = $true )
& ( subsetE = $true )
& ( woz13rule2 = $true )
& ( powersetsubset = $true )
& ( setadjoinOr = $true )
& ( binintersectT_lem = $true )
& ( complementTnotintersectT = $true )
& ( quantDeMorgan4 = $true )
& ( woz13rule0 = $true )
& ( setOfPairsIsBReln = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectSubset1 = $true )
& ( singletoninpowerset = $true )
& ( powersetE1 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( cartprodpairsurjEq = $true )
& ( setbeta = $true )
& ( binunionTIRcontra = $true )
& ( iffalseProp2 = $true )
& ( descr__Cong = $true )
& ( symdiffIneg1 = $true )
& ( choice2fnsingleton = $true )
& ( woz13rule3 = $true )
& ( contrasubsetT = $true )
& ( setunionE = $true )
& ( powersetTI1 = $true )
& ( emptyinPowerset = $true )
& ( cartprodpairmemEL = $true )
& ( complementUnionInPowersetComplement = $true )
& ( demorgan1b = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( setadjoinE = $true )
& ( complementTI1 = $true )
& ( powersetI = $true )
& ( lamProp = $true )
& ( subsetTrans = $true )
& ( complementT_lem = $true )
& ( setadjoinIR = $true )
& ( symdiffI1 = $true )
& ( upairequniteq = $true )
& ( eta1 = $true )
& ( doubleComplementSub1 = $true )
& ( upairset2IR = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( eqimpsubset1 = $true )
& ( emptyinunitempty = $true )
& ( setukpairinjR12 = $true )
& ( binintersectI = $true )
& ( exuEu = $true )
& ( woz13rule4 = $true )
& ( eqbreln = $true )
& ( ap2p = $true )
& ( descrp = $true )
& ( setminusERneg = $true )
& ( setminusI = $true )
& ( notsubsetI = $true )
& ( dsetconstrI = $true )
& ( binintersectSubset4 = $true )
& ( eta2 = $true )
& ( setukpairinjL2 = $true )
& ( ubforcartprodlem2 = $true )
& ( setukpairinjL1 = $true )
& ( emptysetsubset = $true )
& ( emptyE1 = $true )
& ( doubleComplementE1 = $true )
& ( emptysetE = $true )
& ( emptyset__Cong = $true )
& ( setunion__Cong = $true )
& ( ksndpairEq = $true )
& ( upairinpowunion = $true )
& ( replAx = $true )
& ( exu__Cong = $true )
& ( setminusSubset1 = $true )
& ( powersetI1 = $true )
& ( ex1I2 = $true )
& ( kfstpairEq = $true )
& ( iftrue = $true )
& ( noeltsimpempty = $true )
& ( wellorderingAx = $true )
& ( emptysetimpfalse = $true )
& ( setOfPairsIsBReln1 = $true )
& ( binunionRsub = $true )
& ( ksndsingleton = $true )
& ( singletonsubset = $true )
& ( powersetAx = $true )
& ( dpsetconstrI = $true )
& ( setunionE2 = $true )
& ( setminusT_lem = $true )
& ? [X1: $i,X0: $i] :
( ( ( breln1 @ X0 @ ( breln1invset @ X0 @ X1 ) )
!= $true )
& ( ( breln1 @ X0 @ X1 )
= $true ) )
& ( contrasubsetT1 = $true )
& ( binunionTE = $true )
& ( woz1_1 = $true )
& ( ap2apEq1 = $true )
& ( binintersectTELcontra = $true )
& ( nonemptyI = $true )
& ( demorgan2b2 = $true )
& ( exuI2 = $true )
& ( cartprodsndin = $true )
& ( emptyInPowerset = $true )
& ( cartprodmempaircEq = $true )
& ( binunionEcases = $true )
& ( notinsingleton = $true )
& ( vacuousDall = $true )
& ( complementTcontraSubset = $true )
& ( ap2apEq2 = $true )
& ( setunionsingleton = $true )
& ( setminusER = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( woz1_4 = $true )
& ( in__Cong = $true )
& ( binintersectSubset5 = $true )
& ( ubforcartprodlem1 = $true )
& ( funcImageSingleton = $true )
& ( demorgan2a2 = $true )
& ( exuE1 = $true )
& ( notinemptyset = $true )
& ( setukpairinjR = $true )
& ( binunionLsub = $true )
& ( setukpairinjR11 = $true )
& ( singletonsuniq = $true )
& ( binunionE = $true )
& ( setukpairinjR1 = $true )
& ( woz1_5 = $true )
& ( setadjoin__Cong = $true )
& ( symdiffE = $true )
& ( doubleComplementEq = $true )
& ( symdiffIneg2 = $true )
& ( subsetI1 = $true )
& ( dsetconstrEL = $true )
& ( infuncsetfunc = $true )
& ( dpsetconstrEL1 = $true )
& ( setminusELneg = $true )
& ( kpairp = $true )
& ( nonemptyImpWitness = $true )
& ( subPowSU = $true )
& ( symdiffI2 = $true )
& ( exuE2 = $true )
& ( setukpairinjR2 = $true )
& ( lamp = $true )
& ( subsetemptysetimpeq = $true )
& ( binunionIL = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( kpairiskpair = $true )
& ( doubleComplementI1 = $true )
& ( setextT = $true )
& ( theprop = $true )
& ( omega0Ax = $true )
& ( omegaSAx = $true )
& ( cartprodmempair = $true ) ),
inference(flattening,[],[f877]) ).
thf(f879,plain,
( ( subbreln = $true )
& ( breln1all2 = $true )
& ( cartprodfstin = $true )
& ( powersetT_lem = $true )
& ( setminusLsub = $true )
& ( iftrueProp2 = $true )
& ( notdexE = $true )
& ( doubleComplementSub2 = $true )
& ( complementTE1 = $true )
& ( singletoninpowunion = $true )
& ( setminusILneg = $true )
& ( theeq = $true )
& ( setadjoinSub = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( sepInPowerset = $true )
& ( kfstsingleton = $true )
& ( binintersectTERcontra = $true )
& ( iffalse = $true )
& ( app = $true )
& ( ex1E2 = $true )
& ( setunionAx = $true )
& ( upairsetIL = $true )
& ( setunionI = $true )
& ( cartprodsndpairEq = $true )
& ( secondinupair = $true )
& ( powersetTE1 = $true )
& ( cartprodpairmemER = $true )
& ( demorgan1a = $true )
& ( exuE3u = $true )
& ( binunionTEcontra = $true )
& ( setunionsingleton2 = $true )
& ( ex1I = $true )
& ( funcGraphProp1 = $true )
& ( setukpairIR = $true )
& ( dpsetconstrER = $true )
& ( demorgan2 = $true )
& ( prop2set2propI = $true )
& ( notdallE = $true )
& ( woz13rule1 = $true )
& ( singletonprop = $true )
& ( upairsetE = $true )
& ( ifSingleton = $true )
& ( quantDeMorgan3 = $true )
& ( funcGraphProp3 = $true )
& ( quantDeMorgan1 = $true )
& ( dpsetconstrERa = $true )
& ( setextAx = $true )
& ( notequalI1 = $true )
& ( setminusEL = $true )
& ( eqbreln1 = $true )
& ( lam2lamEq = $true )
& ( funcextLem = $true )
& ( binintersectRsub = $true )
& ( setminusSubset2 = $true )
& ( powerset__Cong = $true )
& ( setukpairIL = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( upairsetIR = $true )
& ( funcinfuncset = $true )
& ( nonemptyE1 = $true )
& ( woz1_2 = $true )
& ( foundationAx = $true )
& ( funcext2 = $true )
& ( prop2setI = $true )
& ( complementSubsetComplementIntersect = $true )
& ( binintersectSubset2 = $true )
& ( kpairsurjEq = $true )
& ( setextsub = $true )
& ( contrasubsetT2 = $true )
& ( subsetTI = $true )
& ( demorgan2b = $true )
& ( omega__Cong = $true )
& ( exuE3e = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setminusIRneg = $true )
& ( setunionsingleton1 = $true )
& ( woz1_3 = $true )
& ( funcext = $true )
& ( apProp = $true )
& ( disjointsetsI1 = $true )
& ( nonemptyI1 = $true )
& ( ubforcartprodlem3 = $true )
& ( emptyI = $true )
& ( demorgan2a = $true )
& ( powersetE = $true )
& ( funcGraphProp4 = $true )
& ( upairsubunion = $true )
& ( subset2powerset = $true )
& ( beta1 = $true )
& ( cartprodmempair1 = $true )
& ( funcGraphProp2 = $true )
& ( singletonsswitch = $true )
& ( breln1SetBreln1 = $true )
& ( ex1E1 = $true )
& ( exuI1 = $true )
& ( binintersectER = $true )
& ( inPowerset = $true )
& ( omegaIndAx = $true )
& ( uniqinunit = $true )
& ( exuI3 = $true )
& ( setadjoinIL = $true )
& ( cartprodpairin = $true )
& ( iftrueorfalse = $true )
& ( dsetconstrER = $true )
& ( emptysetAx = $true )
& ( dsetconstr__Cong = $true )
& ( upairset2E = $true )
& ( dpsetconstrSub = $true )
& ( setadjoinAx = $true )
& ( iffalseProp1 = $true )
& ( binunionTILcontra = $true )
& ( binunionIR = $true )
& ( eqimpsubset2 = $true )
& ( complementImpComplementIntersect = $true )
& ( lam2p = $true )
& ( contraSubsetComplement = $true )
& ( iftrueProp1 = $true )
& ( beta2 = $true )
& ( contrasubsetT3 = $true )
& ( setoftrueEq = $true )
& ( ifp = $true )
& ( subsetRefl = $true )
& ( dpsetconstrEL2 = $true )
& ( demorgan1 = $true )
& ( breln1all1 = $true )
& ( binunionT_lem = $true )
& ( setext = $true )
& ( inIntersectImpInUnion = $true )
& ( subsetI2 = $true )
& ( inCongP = $true )
& ( setadjoinSub2 = $true )
& ( setukpairinjL = $true )
& ( demorgan2a1 = $true )
& ( eqinunit = $true )
& ( subbreln1 = $true )
& ( notequalI2 = $true )
& ( cartprodfstpairEq = $true )
& ( subsetE2 = $true )
& ( sepSubset = $true )
& ( binintersectSubset3 = $true )
& ( bs114d = $true )
& ( prop2setE = $true )
& ( subsetE = $true )
& ( woz13rule2 = $true )
& ( powersetsubset = $true )
& ( setadjoinOr = $true )
& ( binintersectT_lem = $true )
& ( complementTnotintersectT = $true )
& ( quantDeMorgan4 = $true )
& ( woz13rule0 = $true )
& ( setOfPairsIsBReln = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectSubset1 = $true )
& ( singletoninpowerset = $true )
& ( powersetE1 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( cartprodpairsurjEq = $true )
& ( setbeta = $true )
& ( binunionTIRcontra = $true )
& ( iffalseProp2 = $true )
& ( descr__Cong = $true )
& ( symdiffIneg1 = $true )
& ( choice2fnsingleton = $true )
& ( woz13rule3 = $true )
& ( contrasubsetT = $true )
& ( setunionE = $true )
& ( powersetTI1 = $true )
& ( emptyinPowerset = $true )
& ( cartprodpairmemEL = $true )
& ( complementUnionInPowersetComplement = $true )
& ( demorgan1b = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( setadjoinE = $true )
& ( complementTI1 = $true )
& ( powersetI = $true )
& ( lamProp = $true )
& ( subsetTrans = $true )
& ( complementT_lem = $true )
& ( setadjoinIR = $true )
& ( symdiffI1 = $true )
& ( upairequniteq = $true )
& ( eta1 = $true )
& ( doubleComplementSub1 = $true )
& ( upairset2IR = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( eqimpsubset1 = $true )
& ( emptyinunitempty = $true )
& ( setukpairinjR12 = $true )
& ( binintersectI = $true )
& ( exuEu = $true )
& ( woz13rule4 = $true )
& ( eqbreln = $true )
& ( ap2p = $true )
& ( descrp = $true )
& ( setminusERneg = $true )
& ( setminusI = $true )
& ( notsubsetI = $true )
& ( dsetconstrI = $true )
& ( binintersectSubset4 = $true )
& ( eta2 = $true )
& ( setukpairinjL2 = $true )
& ( ubforcartprodlem2 = $true )
& ( setukpairinjL1 = $true )
& ( emptysetsubset = $true )
& ( emptyE1 = $true )
& ( doubleComplementE1 = $true )
& ( emptysetE = $true )
& ( emptyset__Cong = $true )
& ( setunion__Cong = $true )
& ( ksndpairEq = $true )
& ( upairinpowunion = $true )
& ( replAx = $true )
& ( exu__Cong = $true )
& ( setminusSubset1 = $true )
& ( powersetI1 = $true )
& ( ex1I2 = $true )
& ( kfstpairEq = $true )
& ( iftrue = $true )
& ( noeltsimpempty = $true )
& ( wellorderingAx = $true )
& ( emptysetimpfalse = $true )
& ( setOfPairsIsBReln1 = $true )
& ( binunionRsub = $true )
& ( ksndsingleton = $true )
& ( singletonsubset = $true )
& ( powersetAx = $true )
& ( dpsetconstrI = $true )
& ( setunionE2 = $true )
& ( setminusT_lem = $true )
& ? [X0: $i,X1: $i] :
( ( ( breln1 @ X1 @ ( breln1invset @ X1 @ X0 ) )
!= $true )
& ( ( breln1 @ X1 @ X0 )
= $true ) )
& ( contrasubsetT1 = $true )
& ( binunionTE = $true )
& ( woz1_1 = $true )
& ( ap2apEq1 = $true )
& ( binintersectTELcontra = $true )
& ( nonemptyI = $true )
& ( demorgan2b2 = $true )
& ( exuI2 = $true )
& ( cartprodsndin = $true )
& ( emptyInPowerset = $true )
& ( cartprodmempaircEq = $true )
& ( binunionEcases = $true )
& ( notinsingleton = $true )
& ( vacuousDall = $true )
& ( complementTcontraSubset = $true )
& ( ap2apEq2 = $true )
& ( setunionsingleton = $true )
& ( setminusER = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( woz1_4 = $true )
& ( in__Cong = $true )
& ( binintersectSubset5 = $true )
& ( ubforcartprodlem1 = $true )
& ( funcImageSingleton = $true )
& ( demorgan2a2 = $true )
& ( exuE1 = $true )
& ( notinemptyset = $true )
& ( setukpairinjR = $true )
& ( binunionLsub = $true )
& ( setukpairinjR11 = $true )
& ( singletonsuniq = $true )
& ( binunionE = $true )
& ( setukpairinjR1 = $true )
& ( woz1_5 = $true )
& ( setadjoin__Cong = $true )
& ( symdiffE = $true )
& ( doubleComplementEq = $true )
& ( symdiffIneg2 = $true )
& ( subsetI1 = $true )
& ( dsetconstrEL = $true )
& ( infuncsetfunc = $true )
& ( dpsetconstrEL1 = $true )
& ( setminusELneg = $true )
& ( kpairp = $true )
& ( nonemptyImpWitness = $true )
& ( subPowSU = $true )
& ( symdiffI2 = $true )
& ( exuE2 = $true )
& ( setukpairinjR2 = $true )
& ( lamp = $true )
& ( subsetemptysetimpeq = $true )
& ( binunionIL = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( kpairiskpair = $true )
& ( doubleComplementI1 = $true )
& ( setextT = $true )
& ( theprop = $true )
& ( omega0Ax = $true )
& ( omegaSAx = $true )
& ( cartprodmempair = $true ) ),
inference(rectify,[],[f878]) ).
thf(f880,plain,
( ( subbreln = $true )
& ( breln1all2 = $true )
& ( cartprodfstin = $true )
& ( powersetT_lem = $true )
& ( setminusLsub = $true )
& ( iftrueProp2 = $true )
& ( notdexE = $true )
& ( doubleComplementSub2 = $true )
& ( complementTE1 = $true )
& ( singletoninpowunion = $true )
& ( setminusILneg = $true )
& ( theeq = $true )
& ( setadjoinSub = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( sepInPowerset = $true )
& ( kfstsingleton = $true )
& ( binintersectTERcontra = $true )
& ( iffalse = $true )
& ( app = $true )
& ( ex1E2 = $true )
& ( setunionAx = $true )
& ( upairsetIL = $true )
& ( setunionI = $true )
& ( cartprodsndpairEq = $true )
& ( secondinupair = $true )
& ( powersetTE1 = $true )
& ( cartprodpairmemER = $true )
& ( demorgan1a = $true )
& ( exuE3u = $true )
& ( binunionTEcontra = $true )
& ( setunionsingleton2 = $true )
& ( ex1I = $true )
& ( funcGraphProp1 = $true )
& ( setukpairIR = $true )
& ( dpsetconstrER = $true )
& ( demorgan2 = $true )
& ( prop2set2propI = $true )
& ( notdallE = $true )
& ( woz13rule1 = $true )
& ( singletonprop = $true )
& ( upairsetE = $true )
& ( ifSingleton = $true )
& ( quantDeMorgan3 = $true )
& ( funcGraphProp3 = $true )
& ( quantDeMorgan1 = $true )
& ( dpsetconstrERa = $true )
& ( setextAx = $true )
& ( notequalI1 = $true )
& ( setminusEL = $true )
& ( eqbreln1 = $true )
& ( lam2lamEq = $true )
& ( funcextLem = $true )
& ( binintersectRsub = $true )
& ( setminusSubset2 = $true )
& ( powerset__Cong = $true )
& ( setukpairIL = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( upairsetIR = $true )
& ( funcinfuncset = $true )
& ( nonemptyE1 = $true )
& ( woz1_2 = $true )
& ( foundationAx = $true )
& ( funcext2 = $true )
& ( prop2setI = $true )
& ( complementSubsetComplementIntersect = $true )
& ( binintersectSubset2 = $true )
& ( kpairsurjEq = $true )
& ( setextsub = $true )
& ( contrasubsetT2 = $true )
& ( subsetTI = $true )
& ( demorgan2b = $true )
& ( omega__Cong = $true )
& ( exuE3e = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( setminusIRneg = $true )
& ( setunionsingleton1 = $true )
& ( woz1_3 = $true )
& ( funcext = $true )
& ( apProp = $true )
& ( disjointsetsI1 = $true )
& ( nonemptyI1 = $true )
& ( ubforcartprodlem3 = $true )
& ( emptyI = $true )
& ( demorgan2a = $true )
& ( powersetE = $true )
& ( funcGraphProp4 = $true )
& ( upairsubunion = $true )
& ( subset2powerset = $true )
& ( beta1 = $true )
& ( cartprodmempair1 = $true )
& ( funcGraphProp2 = $true )
& ( singletonsswitch = $true )
& ( breln1SetBreln1 = $true )
& ( ex1E1 = $true )
& ( exuI1 = $true )
& ( binintersectER = $true )
& ( inPowerset = $true )
& ( omegaIndAx = $true )
& ( uniqinunit = $true )
& ( exuI3 = $true )
& ( setadjoinIL = $true )
& ( cartprodpairin = $true )
& ( iftrueorfalse = $true )
& ( dsetconstrER = $true )
& ( emptysetAx = $true )
& ( dsetconstr__Cong = $true )
& ( upairset2E = $true )
& ( dpsetconstrSub = $true )
& ( setadjoinAx = $true )
& ( iffalseProp1 = $true )
& ( binunionTILcontra = $true )
& ( binunionIR = $true )
& ( eqimpsubset2 = $true )
& ( complementImpComplementIntersect = $true )
& ( lam2p = $true )
& ( contraSubsetComplement = $true )
& ( iftrueProp1 = $true )
& ( beta2 = $true )
& ( contrasubsetT3 = $true )
& ( setoftrueEq = $true )
& ( ifp = $true )
& ( subsetRefl = $true )
& ( dpsetconstrEL2 = $true )
& ( demorgan1 = $true )
& ( breln1all1 = $true )
& ( binunionT_lem = $true )
& ( setext = $true )
& ( inIntersectImpInUnion = $true )
& ( subsetI2 = $true )
& ( inCongP = $true )
& ( setadjoinSub2 = $true )
& ( setukpairinjL = $true )
& ( demorgan2a1 = $true )
& ( eqinunit = $true )
& ( subbreln1 = $true )
& ( notequalI2 = $true )
& ( cartprodfstpairEq = $true )
& ( subsetE2 = $true )
& ( sepSubset = $true )
& ( binintersectSubset3 = $true )
& ( bs114d = $true )
& ( prop2setE = $true )
& ( subsetE = $true )
& ( woz13rule2 = $true )
& ( powersetsubset = $true )
& ( setadjoinOr = $true )
& ( binintersectT_lem = $true )
& ( complementTnotintersectT = $true )
& ( quantDeMorgan4 = $true )
& ( woz13rule0 = $true )
& ( setOfPairsIsBReln = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectSubset1 = $true )
& ( singletoninpowerset = $true )
& ( powersetE1 = $true )
& ( inIntersectImpInUnion2 = $true )
& ( cartprodpairsurjEq = $true )
& ( setbeta = $true )
& ( binunionTIRcontra = $true )
& ( iffalseProp2 = $true )
& ( descr__Cong = $true )
& ( symdiffIneg1 = $true )
& ( choice2fnsingleton = $true )
& ( woz13rule3 = $true )
& ( contrasubsetT = $true )
& ( setunionE = $true )
& ( powersetTI1 = $true )
& ( emptyinPowerset = $true )
& ( cartprodpairmemEL = $true )
& ( complementUnionInPowersetComplement = $true )
& ( demorgan1b = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( setadjoinE = $true )
& ( complementTI1 = $true )
& ( powersetI = $true )
& ( lamProp = $true )
& ( subsetTrans = $true )
& ( complementT_lem = $true )
& ( setadjoinIR = $true )
& ( symdiffI1 = $true )
& ( upairequniteq = $true )
& ( eta1 = $true )
& ( doubleComplementSub1 = $true )
& ( upairset2IR = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( eqimpsubset1 = $true )
& ( emptyinunitempty = $true )
& ( setukpairinjR12 = $true )
& ( binintersectI = $true )
& ( exuEu = $true )
& ( woz13rule4 = $true )
& ( eqbreln = $true )
& ( ap2p = $true )
& ( descrp = $true )
& ( setminusERneg = $true )
& ( setminusI = $true )
& ( notsubsetI = $true )
& ( dsetconstrI = $true )
& ( binintersectSubset4 = $true )
& ( eta2 = $true )
& ( setukpairinjL2 = $true )
& ( ubforcartprodlem2 = $true )
& ( setukpairinjL1 = $true )
& ( emptysetsubset = $true )
& ( emptyE1 = $true )
& ( doubleComplementE1 = $true )
& ( emptysetE = $true )
& ( emptyset__Cong = $true )
& ( setunion__Cong = $true )
& ( ksndpairEq = $true )
& ( upairinpowunion = $true )
& ( replAx = $true )
& ( exu__Cong = $true )
& ( setminusSubset1 = $true )
& ( powersetI1 = $true )
& ( ex1I2 = $true )
& ( kfstpairEq = $true )
& ( iftrue = $true )
& ( noeltsimpempty = $true )
& ( wellorderingAx = $true )
& ( emptysetimpfalse = $true )
& ( setOfPairsIsBReln1 = $true )
& ( binunionRsub = $true )
& ( ksndsingleton = $true )
& ( singletonsubset = $true )
& ( powersetAx = $true )
& ( dpsetconstrI = $true )
& ( setunionE2 = $true )
& ( setminusT_lem = $true )
& ( ( breln1 @ sK1 @ ( breln1invset @ sK1 @ sK0 ) )
!= $true )
& ( ( breln1 @ sK1 @ sK0 )
= $true )
& ( contrasubsetT1 = $true )
& ( binunionTE = $true )
& ( woz1_1 = $true )
& ( ap2apEq1 = $true )
& ( binintersectTELcontra = $true )
& ( nonemptyI = $true )
& ( demorgan2b2 = $true )
& ( exuI2 = $true )
& ( cartprodsndin = $true )
& ( emptyInPowerset = $true )
& ( cartprodmempaircEq = $true )
& ( binunionEcases = $true )
& ( notinsingleton = $true )
& ( vacuousDall = $true )
& ( complementTcontraSubset = $true )
& ( ap2apEq2 = $true )
& ( setunionsingleton = $true )
& ( setminusER = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( woz1_4 = $true )
& ( in__Cong = $true )
& ( binintersectSubset5 = $true )
& ( ubforcartprodlem1 = $true )
& ( funcImageSingleton = $true )
& ( demorgan2a2 = $true )
& ( exuE1 = $true )
& ( notinemptyset = $true )
& ( setukpairinjR = $true )
& ( binunionLsub = $true )
& ( setukpairinjR11 = $true )
& ( singletonsuniq = $true )
& ( binunionE = $true )
& ( setukpairinjR1 = $true )
& ( woz1_5 = $true )
& ( setadjoin__Cong = $true )
& ( symdiffE = $true )
& ( doubleComplementEq = $true )
& ( symdiffIneg2 = $true )
& ( subsetI1 = $true )
& ( dsetconstrEL = $true )
& ( infuncsetfunc = $true )
& ( dpsetconstrEL1 = $true )
& ( setminusELneg = $true )
& ( kpairp = $true )
& ( nonemptyImpWitness = $true )
& ( subPowSU = $true )
& ( symdiffI2 = $true )
& ( exuE2 = $true )
& ( setukpairinjR2 = $true )
& ( lamp = $true )
& ( subsetemptysetimpeq = $true )
& ( binunionIL = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( kpairiskpair = $true )
& ( doubleComplementI1 = $true )
& ( setextT = $true )
& ( theprop = $true )
& ( omega0Ax = $true )
& ( omegaSAx = $true )
& ( cartprodmempair = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f879]) ).
thf(f976,plain,
( ( breln1 @ sK1 @ ( breln1invset @ sK1 @ sK0 ) )
!= $true ),
inference(cnf_transformation,[],[f880]) ).
thf(f984,plain,
setOfPairsIsBReln1 = $true,
inference(cnf_transformation,[],[f880]) ).
thf(f1304,plain,
( setOfPairsIsBReln1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( breln1 @ Y0
@ ( dpsetconstr @ Y0 @ Y0
@ ^ [Y2: $i,Y3: $i] : ( Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(cnf_transformation,[],[f500]) ).
thf(f1421,plain,
( breln1invset
= ( ^ [Y0: $i,Y1: $i] :
( dpsetconstr @ Y0 @ Y0
@ ^ [Y2: $i,Y3: $i] : ( in @ ( kpair @ Y3 @ Y2 ) @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f760]) ).
thf(f1500,plain,
( ( breln1 @ sK1
@ ( ^ [Y0: $i,Y1: $i] :
( dpsetconstr @ Y0 @ Y0
@ ^ [Y2: $i,Y3: $i] : ( in @ ( kpair @ Y3 @ Y2 ) @ Y1 ) )
@ sK1
@ sK0 ) )
!= $true ),
inference(definition_unfolding,[],[f976,f1421]) ).
thf(f1597,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( breln1 @ Y0
@ ( dpsetconstr @ Y0 @ Y0
@ ^ [Y2: $i,Y3: $i] : ( Y1 @ Y2 @ Y3 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f1304,f984]) ).
thf(f3232,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( breln1 @ Y0
@ ( dpsetconstr @ Y0 @ Y0
@ ^ [Y2: $i,Y3: $i] : ( Y1 @ Y2 @ Y3 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1597]) ).
thf(f3233,plain,
! [X1: $i] :
( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] : ( breln1 @ X1 @ ( dpsetconstr @ X1 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f3232]) ).
thf(f3234,plain,
! [X2: $i > $i > $o,X1: $i] :
( ( ^ [Y0: $i > $i > $o] : ( breln1 @ X1 @ ( dpsetconstr @ X1 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f3233]) ).
thf(f3235,plain,
! [X2: $i > $i > $o,X1: $i] :
( ( breln1 @ X1 @ ( dpsetconstr @ X1 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f3234]) ).
thf(f4325,plain,
( ( breln1 @ sK1
@ ( dpsetconstr @ sK1 @ sK1
@ ^ [Y0: $i,Y1: $i] : ( in @ ( kpair @ Y1 @ Y0 ) @ sK0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f1500]) ).
thf(f4737,plain,
$false,
inference(forward_subsumption_resolution,[],[f4325,f3235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU775^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.11 % Computer : n012.cluster.edu
% 0.05/0.11 % Model : x86_64 x86_64
% 0.05/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.11 % Memory : 8046.5625MB
% 0.05/0.11 % OS : Linux 6.8.0-71-generic
% 0.05/0.11 % CPULimit : 300
% 0.05/0.11 % WCLimit : 300
% 0.05/0.11 % DateTime : Tue Sep 29 14:27:28 UTC 2026
% 0.05/0.11 % CPUTime :
% 0.05/0.12 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.13 Running higher-order theorem proving
% 0.05/0.17 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/0.25 % (178103)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.33/0.25 % (178114)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.33/0.25 % (178114)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.33/0.25 % (178112)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3274339711:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.33/0.25 % (178110)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1240550931:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.33/0.25 % (178113)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2927002834:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.33/0.25 % (178109)lrs+10_16_si=on:nwc=1.5:random_seed=3299713140:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.33/0.25 % (178108)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1156637679:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.33/0.25 % (178111)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=3450564149:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.33/0.25 % (178114)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=1082794703:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.33/0.25 % (178110)Instruction limit reached!
% 0.33/0.25 % (178110)------------------------------
% 0.33/0.25 % (178110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.25 % (178110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.25 % (178110)CaDiCaL version: 2.1.3
% 0.33/0.25 % (178110)Termination reason: Instruction limit
% 0.33/0.25 % (178110)Termination phase: shuffling
% 0.33/0.25 % (178110)Time elapsed: 0.002 s
% 0.33/0.25 % (178110)Peak memory usage: 10 MB
% 0.33/0.25 % (178110)Instructions burned: 7 (million)
% 0.33/0.25 % (178109)Instruction limit reached!
% 0.33/0.25 % (178109)------------------------------
% 0.33/0.25 % (178109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.25 % (178109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.25 % (178109)CaDiCaL version: 2.1.3
% 0.33/0.25 % (178109)Termination reason: Instruction limit
% 0.33/0.25 % (178109)Termination phase: shuffling
% 0.33/0.25 % (178109)Time elapsed: 0.005 s
% 0.33/0.25 % (178109)Peak memory usage: 10 MB
% 0.33/0.25 % (178109)Instructions burned: 21 (million)
% 0.33/0.25 % (178112)Instruction limit reached!
% 0.33/0.25 % (178112)------------------------------
% 0.33/0.25 % (178112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.25 % (178112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.25 % (178112)CaDiCaL version: 2.1.3
% 0.33/0.25 % (178112)Termination reason: Instruction limit
% 0.33/0.25 % (178112)Termination phase: shuffling
% 0.33/0.25 % (178112)Time elapsed: 0.006 s
% 0.33/0.25 % (178112)Peak memory usage: 10 MB
% 0.33/0.25 % (178112)Instructions burned: 26 (million)
% 0.33/0.25 % (178122)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=92001116:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.33/0.25 % (178124)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.33/0.25 % (178124)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1321121400:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.33/0.25 % (178123)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2610081963:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.33/0.25 % (178122)Instruction limit reached!
% 0.33/0.25 % (178122)------------------------------
% 0.33/0.25 % (178122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.28 % (178122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.28 % (178122)CaDiCaL version: 2.1.3
% 0.33/0.28 % (178122)Termination reason: Instruction limit
% 0.33/0.28 % (178122)Termination phase: shuffling
% 0.33/0.28 % (178122)Time elapsed: 0.004 s
% 0.33/0.28 % (178122)Peak memory usage: 10 MB
% 0.33/0.28 % (178122)Instructions burned: 17 (million)
% 0.33/0.28 % (178113)Instruction limit reached!
% 0.33/0.28 % (178113)------------------------------
% 0.33/0.28 % (178113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.28 % (178113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.28 % (178113)CaDiCaL version: 2.1.3
% 0.33/0.28 % (178113)Termination reason: Instruction limit
% 0.33/0.28 % (178113)Termination phase: Preprocessing 3
% 0.33/0.28 % (178113)Time elapsed: 0.019 s
% 0.33/0.28 % (178113)Peak memory usage: 12 MB
% 0.33/0.28 % (178113)Instructions burned: 79 (million)
% 0.33/0.28 % (178124)Instruction limit reached!
% 0.33/0.28 % (178124)------------------------------
% 0.33/0.28 % (178124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.28 % (178124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.28 % (178124)CaDiCaL version: 2.1.3
% 0.33/0.28 % (178124)Termination reason: Instruction limit
% 0.33/0.28 % (178124)Termination phase: shuffling
% 0.33/0.28 % (178124)Time elapsed: 0.002 s
% 0.33/0.28 % (178124)Peak memory usage: 10 MB
% 0.33/0.28 % (178124)Instructions burned: 8 (million)
% 0.33/0.28 % (178123)Instruction limit reached!
% 0.33/0.28 % (178123)------------------------------
% 0.33/0.28 % (178123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.28 % (178123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.28 % (178123)CaDiCaL version: 2.1.3
% 0.33/0.28 % (178123)Termination reason: Instruction limit
% 0.33/0.28 % (178123)Termination phase: shuffling
% 0.33/0.28 % (178123)Time elapsed: 0.002 s
% 0.33/0.28 % (178123)Peak memory usage: 10 MB
% 0.33/0.28 % (178123)Instructions burned: 7 (million)
% 0.33/0.28 % (178108)Instruction limit reached!
% 0.33/0.28 % (178108)------------------------------
% 0.33/0.28 % (178108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.28 % (178108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.28 % (178108)CaDiCaL version: 2.1.3
% 0.33/0.28 % (178108)Termination reason: Instruction limit
% 0.33/0.28 % (178108)Termination phase: Preprocessing 3
% 0.33/0.28 % (178108)Time elapsed: 0.025 s
% 0.33/0.28 % (178108)Peak memory usage: 13 MB
% 0.33/0.28 % (178108)Instructions burned: 100 (million)
% 0.33/0.28 % (178129)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.33/0.28 % (178129)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.33/0.28 % (178128)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1971696605:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.33/0.28 % (178129)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=128566552:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.33/0.28 % (178130)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=1465469826:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.33/0.28 % (178131)lrs+10_1_si=on:cs=on:random_seed=4091737861:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.33/0.28 % (178128)Instruction limit reached!
% 0.33/0.28 % (178128)------------------------------
% 0.33/0.28 % (178128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.28 % (178128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.28 % (178128)CaDiCaL version: 2.1.3
% 0.33/0.28 % (178128)Termination reason: Instruction limit
% 0.33/0.28 % (178128)Termination phase: shuffling
% 0.33/0.28 % (178128)Time elapsed: 0.004 s
% 0.33/0.28 % (178128)Peak memory usage: 11 MB
% 0.33/0.28 % (178128)Instructions burned: 15 (million)
% 0.33/0.28 % (178132)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.33/0.30 % (178131)Instruction limit reached!
% 0.33/0.30 % (178131)------------------------------
% 0.33/0.30 % (178131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.30 % (178131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.30 % (178131)CaDiCaL version: 2.1.3
% 0.33/0.30 % (178131)Termination reason: Instruction limit
% 0.33/0.30 % (178131)Termination phase: shuffling
% 0.33/0.30 % (178131)Time elapsed: 0.003 s
% 0.33/0.30 % (178131)Peak memory usage: 10 MB
% 0.33/0.30 % (178131)Instructions burned: 12 (million)
% 0.33/0.30 % (178114)Instruction limit reached!
% 0.33/0.30 % (178114)------------------------------
% 0.33/0.30 % (178114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.30 % (178114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.30 % (178114)CaDiCaL version: 2.1.3
% 0.33/0.30 % (178114)Termination reason: Instruction limit
% 0.33/0.30 % (178114)Termination phase: Property scanning
% 0.33/0.30 % (178114)Time elapsed: 0.035 s
% 0.33/0.30 % (178114)Peak memory usage: 12 MB
% 0.33/0.30 % (178114)Instructions burned: 157 (million)
% 0.33/0.30 % (178132)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=402519925:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.33/0.30 % (178132)Instruction limit reached!
% 0.33/0.30 % (178132)------------------------------
% 0.33/0.30 % (178132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.30 % (178132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.30 % (178132)CaDiCaL version: 2.1.3
% 0.33/0.30 % (178132)Termination reason: Instruction limit
% 0.33/0.30 % (178132)Termination phase: shuffling
% 0.33/0.30 % (178132)Time elapsed: 0.001 s
% 0.33/0.30 % (178132)Peak memory usage: 10 MB
% 0.33/0.30 % (178132)Instructions burned: 3 (million)
% 0.33/0.30 % (178129)Instruction limit reached!
% 0.33/0.30 % (178129)------------------------------
% 0.33/0.30 % (178129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.30 % (178129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.30 % (178129)CaDiCaL version: 2.1.3
% 0.33/0.30 % (178129)Termination reason: Instruction limit
% 0.33/0.30 % (178129)Termination phase: shuffling
% 0.33/0.30 % (178129)Time elapsed: 0.007 s
% 0.33/0.30 % (178129)Peak memory usage: 11 MB
% 0.33/0.30 % (178129)Instructions burned: 32 (million)
% 0.33/0.30 % (178137)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3889439214:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.33/0.30 % (178138)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=559644086:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.33/0.30 % (178140)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2072972446:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.33/0.30 % (178141)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1008293235:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.33/0.30 % (178142)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3350264124:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.33/0.30 % (178130)Instruction limit reached!
% 0.33/0.30 % (178130)------------------------------
% 0.33/0.30 % (178130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.30 % (178130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.30 % (178130)CaDiCaL version: 2.1.3
% 0.33/0.30 % (178130)Termination reason: Instruction limit
% 0.33/0.30 % (178130)Termination phase: Property scanning
% 0.33/0.30 % (178130)Time elapsed: 0.020 s
% 0.33/0.30 % (178130)Peak memory usage: 12 MB
% 0.33/0.30 % (178130)Instructions burned: 90 (million)
% 0.33/0.30 % (178141)Instruction limit reached!
% 0.33/0.30 % (178141)------------------------------
% 0.33/0.30 % (178141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.30 % (178141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.30 % (178141)CaDiCaL version: 2.1.3
% 0.33/0.30 % (178141)Termination reason: Instruction limit
% 0.33/0.30 % (178141)Termination phase: shuffling
% 0.33/0.30 % (178141)Time elapsed: 0.004 s
% 0.33/0.33 % (178141)Peak memory usage: 10 MB
% 0.33/0.33 % (178141)Instructions burned: 17 (million)
% 0.33/0.33 % (178140)Instruction limit reached!
% 0.33/0.33 % (178140)------------------------------
% 0.33/0.33 % (178140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.33 % (178140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.33 % (178140)CaDiCaL version: 2.1.3
% 0.33/0.33 % (178140)Termination reason: Instruction limit
% 0.33/0.33 % (178140)Termination phase: shuffling
% 0.33/0.33 % (178140)Time elapsed: 0.006 s
% 0.33/0.33 % (178140)Peak memory usage: 10 MB
% 0.33/0.33 % (178140)Instructions burned: 26 (million)
% 0.33/0.33 % (178137)Instruction limit reached!
% 0.33/0.33 % (178137)------------------------------
% 0.33/0.33 % (178137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.33 % (178137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.33 % (178137)CaDiCaL version: 2.1.3
% 0.33/0.33 % (178137)Termination reason: Instruction limit
% 0.33/0.33 % (178137)Termination phase: Property scanning
% 0.33/0.33 % (178137)Time elapsed: 0.009 s
% 0.33/0.33 % (178137)Peak memory usage: 11 MB
% 0.33/0.33 % (178137)Instructions burned: 41 (million)
% 0.33/0.33 % (178148)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3410536188:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.33/0.33 % (178149)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2173263045:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.33/0.33 % (178150)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3576382114:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.33/0.33 % (178149)Instruction limit reached!
% 0.33/0.33 % (178149)------------------------------
% 0.33/0.33 % (178149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.33 % (178149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.33 % (178149)CaDiCaL version: 2.1.3
% 0.33/0.33 % (178149)Termination reason: Instruction limit
% 0.33/0.33 % (178149)Termination phase: shuffling
% 0.33/0.33 % (178149)Time elapsed: 0.001 s
% 0.33/0.33 % (178149)Peak memory usage: 10 MB
% 0.33/0.33 % (178149)Instructions burned: 3 (million)
% 0.33/0.33 % (178151)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3578757701:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.33/0.33 % (178148)Instruction limit reached!
% 0.33/0.33 % (178148)------------------------------
% 0.33/0.33 % (178148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.33 % (178148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.33 % (178148)CaDiCaL version: 2.1.3
% 0.33/0.33 % (178148)Termination reason: Instruction limit
% 0.33/0.33 % (178148)Termination phase: shuffling
% 0.33/0.33 % (178148)Time elapsed: 0.004 s
% 0.33/0.33 % (178148)Peak memory usage: 11 MB
% 0.33/0.33 % (178148)Instructions burned: 16 (million)
% 0.33/0.33 % (178150)Instruction limit reached!
% 0.33/0.33 % (178150)------------------------------
% 0.33/0.33 % (178150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.33 % (178150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.33 % (178150)CaDiCaL version: 2.1.3
% 0.33/0.33 % (178150)Termination reason: Instruction limit
% 0.33/0.33 % (178150)Termination phase: shuffling
% 0.33/0.33 % (178150)Time elapsed: 0.006 s
% 0.33/0.33 % (178150)Peak memory usage: 11 MB
% 0.33/0.33 % (178150)Instructions burned: 26 (million)
% 0.33/0.33 % (178151)Instruction limit reached!
% 0.33/0.33 % (178151)------------------------------
% 0.33/0.33 % (178151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.33 % (178151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.33 % (178151)CaDiCaL version: 2.1.3
% 0.33/0.33 % (178151)Termination reason: Instruction limit
% 0.33/0.33 % (178151)Termination phase: shuffling
% 0.33/0.33 % (178151)Time elapsed: 0.006 s
% 0.33/0.33 % (178151)Peak memory usage: 11 MB
% 0.33/0.33 % (178151)Instructions burned: 26 (million)
% 0.33/0.33 % (178156)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2459495135:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.33/0.33 % (178157)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.05/0.37 % (178157)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.05/0.37 % (178157)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=740933131:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.05/0.37 % (178158)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.05/0.37 % (178159)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=1606243198:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 1.05/0.37 % (178158)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=3122163175:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.05/0.37 % (178157)Instruction limit reached!
% 1.05/0.37 % (178157)------------------------------
% 1.05/0.37 % (178157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.37 % (178157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.37 % (178157)CaDiCaL version: 2.1.3
% 1.05/0.37 % (178157)Termination reason: Instruction limit
% 1.05/0.37 % (178157)Termination phase: shuffling
% 1.05/0.37 % (178157)Time elapsed: 0.004 s
% 1.05/0.37 % (178157)Peak memory usage: 10 MB
% 1.05/0.37 % (178157)Instructions burned: 17 (million)
% 1.05/0.37 % (178158)Instruction limit reached!
% 1.05/0.37 % (178158)------------------------------
% 1.05/0.37 % (178158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.37 % (178158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.37 % (178158)CaDiCaL version: 2.1.3
% 1.05/0.37 % (178158)Termination reason: Instruction limit
% 1.05/0.37 % (178158)Termination phase: shuffling
% 1.05/0.37 % (178158)Time elapsed: 0.003 s
% 1.05/0.37 % (178158)Peak memory usage: 10 MB
% 1.05/0.37 % (178158)Instructions burned: 12 (million)
% 1.05/0.37 % (178159)Instruction limit reached!
% 1.05/0.37 % (178159)------------------------------
% 1.05/0.37 % (178159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.37 % (178159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.37 % (178159)CaDiCaL version: 2.1.3
% 1.05/0.37 % (178159)Termination reason: Instruction limit
% 1.05/0.37 % (178159)Termination phase: shuffling
% 1.05/0.37 % (178159)Time elapsed: 0.007 s
% 1.05/0.37 % (178159)Peak memory usage: 11 MB
% 1.05/0.37 % (178159)Instructions burned: 31 (million)
% 1.05/0.37 % (178156)Instruction limit reached!
% 1.05/0.37 % (178156)------------------------------
% 1.05/0.37 % (178156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.37 % (178156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.37 % (178156)CaDiCaL version: 2.1.3
% 1.05/0.37 % (178156)Termination reason: Instruction limit
% 1.05/0.37 % (178156)Termination phase: Preprocessing 3
% 1.05/0.37 % (178156)Time elapsed: 0.015 s
% 1.05/0.37 % (178156)Peak memory usage: 12 MB
% 1.05/0.37 % (178156)Instructions burned: 61 (million)
% 1.05/0.37 % (178164)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=944011494:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.05/0.37 % (178164)Instruction limit reached!
% 1.05/0.37 % (178164)------------------------------
% 1.05/0.37 % (178164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.37 % (178164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.37 % (178164)CaDiCaL version: 2.1.3
% 1.05/0.37 % (178164)Termination reason: Instruction limit
% 1.05/0.37 % (178164)Termination phase: shuffling
% 1.05/0.37 % (178164)Time elapsed: 0.002 s
% 1.05/0.37 % (178164)Peak memory usage: 10 MB
% 1.05/0.37 % (178164)Instructions burned: 7 (million)
% 1.05/0.37 % (178165)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1016324733:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.05/0.37 % (178166)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1780381525:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.05/0.39 % (178167)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3408132494:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.05/0.39 % (178138)Instruction limit reached!
% 1.05/0.39 % (178138)------------------------------
% 1.05/0.39 % (178138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.39 % (178138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.39 % (178138)CaDiCaL version: 2.1.3
% 1.05/0.39 % (178138)Termination reason: Instruction limit
% 1.05/0.39 % (178138)Termination phase: Saturation
% 1.05/0.39 % (178138)Time elapsed: 0.057 s
% 1.05/0.39 % (178138)Peak memory usage: 15 MB
% 1.05/0.39 % (178138)Instructions burned: 251 (million)
% 1.05/0.39 % (178165)Instruction limit reached!
% 1.05/0.39 % (178165)------------------------------
% 1.05/0.39 % (178165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.39 % (178165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.39 % (178165)CaDiCaL version: 2.1.3
% 1.05/0.39 % (178165)Termination reason: Instruction limit
% 1.05/0.39 % (178165)Termination phase: shuffling
% 1.05/0.39 % (178165)Time elapsed: 0.006 s
% 1.05/0.39 % (178165)Peak memory usage: 11 MB
% 1.05/0.39 % (178165)Instructions burned: 26 (million)
% 1.05/0.39 % (178166)Instruction limit reached!
% 1.05/0.39 % (178166)------------------------------
% 1.05/0.39 % (178166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.39 % (178166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.39 % (178166)CaDiCaL version: 2.1.3
% 1.05/0.39 % (178166)Termination reason: Instruction limit
% 1.05/0.39 % (178166)Termination phase: shuffling
% 1.05/0.39 % (178166)Time elapsed: 0.005 s
% 1.05/0.39 % (178166)Peak memory usage: 10 MB
% 1.05/0.39 % (178166)Instructions burned: 22 (million)
% 1.05/0.39 % (178169)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4105346090:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.05/0.39 % (178174)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3732383696:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.05/0.39 % (178173)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3126614983:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.05/0.39 % (178176)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.05/0.39 % (178176)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=977672555:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.05/0.39 % (178176)Instruction limit reached!
% 1.05/0.39 % (178176)------------------------------
% 1.05/0.39 % (178176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.39 % (178176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.39 % (178176)CaDiCaL version: 2.1.3
% 1.05/0.39 % (178176)Termination reason: Instruction limit
% 1.05/0.39 % (178176)Termination phase: shuffling
% 1.05/0.39 % (178176)Time elapsed: 0.002 s
% 1.05/0.39 % (178176)Peak memory usage: 10 MB
% 1.05/0.39 % (178176)Instructions burned: 7 (million)
% 1.05/0.39 % (178174)Instruction limit reached!
% 1.05/0.39 % (178174)------------------------------
% 1.05/0.39 % (178174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.39 % (178174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.39 % (178174)CaDiCaL version: 2.1.3
% 1.05/0.39 % (178174)Termination reason: Instruction limit
% 1.05/0.39 % (178174)Termination phase: Property scanning
% 1.05/0.39 % (178174)Time elapsed: 0.011 s
% 1.05/0.39 % (178174)Peak memory usage: 11 MB
% 1.05/0.39 % (178174)Instructions burned: 46 (million)
% 1.05/0.39 % (178142)Instruction limit reached!
% 1.05/0.39 % (178142)------------------------------
% 1.05/0.39 % (178142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.39 % (178142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.39 % (178142)CaDiCaL version: 2.1.3
% 1.05/0.39 % (178142)Termination reason: Instruction limit
% 1.05/0.39 % (178142)Termination phase: Saturation
% 1.05/0.39 % (178142)Time elapsed: 0.077 s
% 1.05/0.39 % (178142)Peak memory usage: 16 MB
% 1.72/0.45 % (178142)Instructions burned: 329 (million)
% 1.72/0.45 % (178180)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2150022390:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.72/0.45 % (178182)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.72/0.45 % (178181)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=4050187077:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.72/0.45 % (178182)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1497711870:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.72/0.45 % (178169)Instruction limit reached!
% 1.72/0.45 % (178169)------------------------------
% 1.72/0.45 % (178169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.45 % (178169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.45 % (178169)CaDiCaL version: 2.1.3
% 1.72/0.45 % (178169)Termination reason: Instruction limit
% 1.72/0.45 % (178169)Termination phase: Twee Goal Transformation
% 1.72/0.45 % (178169)Time elapsed: 0.031 s
% 1.72/0.45 % (178169)Peak memory usage: 12 MB
% 1.72/0.45 % (178169)Instructions burned: 143 (million)
% 1.72/0.45 % (178182)Instruction limit reached!
% 1.72/0.45 % (178182)------------------------------
% 1.72/0.45 % (178182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.45 % (178182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.45 % (178182)CaDiCaL version: 2.1.3
% 1.72/0.45 % (178182)Termination reason: Instruction limit
% 1.72/0.45 % (178182)Termination phase: shuffling
% 1.72/0.45 % (178182)Time elapsed: 0.002 s
% 1.72/0.45 % (178182)Peak memory usage: 10 MB
% 1.72/0.45 % (178182)Instructions burned: 7 (million)
% 1.72/0.45 % (178186)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2524251004:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.72/0.45 % (178187)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4189896629:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.72/0.45 % (178187)Instruction limit reached!
% 1.72/0.45 % (178187)------------------------------
% 1.72/0.45 % (178187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.45 % (178187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.45 % (178187)CaDiCaL version: 2.1.3
% 1.72/0.45 % (178187)Termination reason: Instruction limit
% 1.72/0.45 % (178187)Termination phase: shuffling
% 1.72/0.45 % (178187)Time elapsed: 0.005 s
% 1.72/0.45 % (178187)Peak memory usage: 10 MB
% 1.72/0.45 % (178187)Instructions burned: 21 (million)
% 1.72/0.45 % (178186)Instruction limit reached!
% 1.72/0.45 % (178186)------------------------------
% 1.72/0.45 % (178186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.45 % (178186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.45 % (178186)CaDiCaL version: 2.1.3
% 1.72/0.45 % (178186)Termination reason: Instruction limit
% 1.72/0.45 % (178186)Termination phase: shuffling
% 1.72/0.45 % (178186)Time elapsed: 0.006 s
% 1.72/0.45 % (178186)Peak memory usage: 10 MB
% 1.72/0.45 % (178186)Instructions burned: 26 (million)
% 1.72/0.45 % (178173)Instruction limit reached!
% 1.72/0.45 % (178173)------------------------------
% 1.72/0.45 % (178173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.45 % (178173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.45 % (178173)CaDiCaL version: 2.1.3
% 1.72/0.45 % (178173)Termination reason: Instruction limit
% 1.72/0.45 % (178173)Termination phase: Saturation
% 1.72/0.45 % (178173)Time elapsed: 0.043 s
% 1.72/0.45 % (178173)Peak memory usage: 13 MB
% 1.72/0.45 % (178173)Instructions burned: 198 (million)
% 1.72/0.45 % (178190)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=635340174:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.72/0.45 % (178191)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=2438276516:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.72/0.50 % (178192)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=1279465263:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.72/0.50 % (178180)Instruction limit reached!
% 1.72/0.50 % (178180)------------------------------
% 1.72/0.50 % (178180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.50 % (178180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.50 % (178180)CaDiCaL version: 2.1.3
% 1.72/0.50 % (178180)Termination reason: Instruction limit
% 1.72/0.50 % (178180)Termination phase: Saturation
% 1.72/0.50 % (178180)Time elapsed: 0.041 s
% 1.72/0.50 % (178180)Peak memory usage: 14 MB
% 1.72/0.50 % (178180)Instructions burned: 183 (million)
% 1.72/0.50 % (178181)Instruction limit reached!
% 1.72/0.50 % (178181)------------------------------
% 1.72/0.50 % (178181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.50 % (178181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.50 % (178181)CaDiCaL version: 2.1.3
% 1.72/0.50 % (178181)Termination reason: Instruction limit
% 1.72/0.50 % (178181)Termination phase: Property scanning
% 1.72/0.50 % (178181)Time elapsed: 0.038 s
% 1.72/0.50 % (178181)Peak memory usage: 12 MB
% 1.72/0.50 % (178181)Instructions burned: 173 (million)
% 1.72/0.50 % (178111)Instruction limit reached!
% 1.72/0.50 % (178111)------------------------------
% 1.72/0.50 % (178111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.50 % (178111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.50 % (178111)CaDiCaL version: 2.1.3
% 1.72/0.50 % (178111)Termination reason: Instruction limit
% 1.72/0.50 % (178111)Termination phase: Saturation
% 1.72/0.50 % (178111)Time elapsed: 0.173 s
% 1.72/0.50 % (178111)Peak memory usage: 21 MB
% 1.72/0.50 % (178111)Instructions burned: 637 (million)
% 1.72/0.50 % (178192)Instruction limit reached!
% 1.72/0.50 % (178192)------------------------------
% 1.72/0.50 % (178192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.50 % (178192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.50 % (178192)CaDiCaL version: 2.1.3
% 1.72/0.50 % (178192)Termination reason: Instruction limit
% 1.72/0.50 % (178192)Termination phase: shuffling
% 1.72/0.50 % (178192)Time elapsed: 0.010 s
% 1.72/0.50 % (178192)Peak memory usage: 11 MB
% 1.72/0.50 % (178192)Instructions burned: 47 (million)
% 1.72/0.50 % (178198)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.72/0.50 % (178196)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1864633432:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 1.72/0.50 % (178197)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=267404591:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 1.72/0.50 % (178198)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4235313455:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.72/0.50 % (178199)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3793868852:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 1.72/0.50 % (178197)Instruction limit reached!
% 1.72/0.50 % (178197)------------------------------
% 1.72/0.50 % (178197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.50 % (178197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.50 % (178197)CaDiCaL version: 2.1.3
% 1.72/0.50 % (178197)Termination reason: Instruction limit
% 1.72/0.50 % (178197)Termination phase: shuffling
% 1.72/0.50 % (178197)Time elapsed: 0.006 s
% 1.72/0.50 % (178197)Peak memory usage: 10 MB
% 1.72/0.50 % (178197)Instructions burned: 25 (million)
% 1.72/0.50 % (178199)Instruction limit reached!
% 1.72/0.50 % (178199)------------------------------
% 1.72/0.50 % (178199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.50 % (178199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178199)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178199)Termination reason: Instruction limit
% 2.45/0.55 % (178199)Termination phase: shuffling
% 2.45/0.55 % (178199)Time elapsed: 0.004 s
% 2.45/0.55 % (178199)Peak memory usage: 10 MB
% 2.45/0.55 % (178199)Instructions burned: 17 (million)
% 2.45/0.55 % (178204)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=2647840414:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.45/0.55 % (178205)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3172387069:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.45/0.55 % (178205)Instruction limit reached!
% 2.45/0.55 % (178205)------------------------------
% 2.45/0.55 % (178205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178205)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178205)Termination reason: Instruction limit
% 2.45/0.55 % (178205)Termination phase: Property scanning
% 2.45/0.55 % (178205)Time elapsed: 0.012 s
% 2.45/0.55 % (178205)Peak memory usage: 11 MB
% 2.45/0.55 % (178205)Instructions burned: 52 (million)
% 2.45/0.55 % (178204)Instruction limit reached!
% 2.45/0.55 % (178204)------------------------------
% 2.45/0.55 % (178204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178204)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178204)Termination reason: Instruction limit
% 2.45/0.55 % (178204)Termination phase: Property scanning
% 2.45/0.55 % (178204)Time elapsed: 0.016 s
% 2.45/0.55 % (178204)Peak memory usage: 11 MB
% 2.45/0.55 % (178204)Instructions burned: 71 (million)
% 2.45/0.55 % (178208)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=228739673:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.45/0.55 % (178209)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=404768861:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.45/0.55 % (178198)Instruction limit reached!
% 2.45/0.55 % (178198)------------------------------
% 2.45/0.55 % (178198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178198)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178198)Termination reason: Instruction limit
% 2.45/0.55 % (178198)Termination phase: Saturation
% 2.45/0.55 % (178198)Time elapsed: 0.045 s
% 2.45/0.55 % (178198)Peak memory usage: 14 MB
% 2.45/0.55 % (178198)Instructions burned: 201 (million)
% 2.45/0.55 % (178208)Instruction limit reached!
% 2.45/0.55 % (178208)------------------------------
% 2.45/0.55 % (178208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178208)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178208)Termination reason: Instruction limit
% 2.45/0.55 % (178208)Termination phase: shuffling
% 2.45/0.55 % (178208)Time elapsed: 0.008 s
% 2.45/0.55 % (178208)Peak memory usage: 11 MB
% 2.45/0.55 % (178208)Instructions burned: 33 (million)
% 2.45/0.55 % (178190)Instruction limit reached!
% 2.45/0.55 % (178190)------------------------------
% 2.45/0.55 % (178190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178190)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178190)Termination reason: Instruction limit
% 2.45/0.55 % (178190)Termination phase: Saturation
% 2.45/0.55 % (178190)Time elapsed: 0.073 s
% 2.45/0.55 % (178190)Peak memory usage: 16 MB
% 2.45/0.55 % (178190)Instructions burned: 317 (million)
% 2.45/0.55 % (178212)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=1279780817:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.45/0.55 % (178213)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=350292188:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.45/0.55 % (178214)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.45/0.55 % (178214)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2444400869:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2997 on theBenchmark for (2997ds/180Mi)
% 2.45/0.55 % (178212)Instruction limit reached!
% 2.45/0.55 % (178212)------------------------------
% 2.45/0.55 % (178212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178212)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178212)Termination reason: Instruction limit
% 2.45/0.55 % (178212)Termination phase: shuffling
% 2.45/0.55 % (178212)Time elapsed: 0.008 s
% 2.45/0.55 % (178212)Peak memory usage: 11 MB
% 2.45/0.55 % (178212)Instructions burned: 35 (million)
% 2.45/0.55 % (178209)Instruction limit reached!
% 2.45/0.55 % (178209)------------------------------
% 2.45/0.55 % (178209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178209)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178209)Termination reason: Instruction limit
% 2.45/0.55 % (178209)Termination phase: Twee Goal Transformation
% 2.45/0.55 % (178209)Time elapsed: 0.031 s
% 2.45/0.55 % (178209)Peak memory usage: 12 MB
% 2.45/0.55 % (178209)Instructions burned: 138 (million)
% 2.45/0.55 % (178218)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3003105692:st=2:i=246:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/246Mi)
% 2.45/0.55 % (178213)Instruction limit reached!
% 2.45/0.55 % (178213)------------------------------
% 2.45/0.55 % (178213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178213)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178213)Termination reason: Instruction limit
% 2.45/0.55 % (178213)Termination phase: Property scanning
% 2.45/0.55 % (178213)Time elapsed: 0.016 s
% 2.45/0.55 % (178213)Peak memory usage: 11 MB
% 2.45/0.55 % (178213)Instructions burned: 71 (million)
% 2.45/0.55 % (178196)Refutation not found, incomplete strategy
% 2.45/0.55 % (178196)------------------------------
% 2.45/0.55 % (178196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178196)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178196)Termination reason: Refutation not found, incomplete strategy
% 2.45/0.55 % (178196)Time elapsed: 0.085 s
% 2.45/0.55 % (178196)Peak memory usage: 18 MB
% 2.45/0.55 % (178196)Instructions burned: 331 (million)
% 2.45/0.55 % (178196)------------------------------
% 2.45/0.55 % (178196)------------------------------
% 2.45/0.55 % (178219)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2449459029:cond=on:i=96:bd=all:rtra=on_2997 on theBenchmark for (2997ds/96Mi)
% 2.45/0.55 % (178221)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3659858424:i=427:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/427Mi)
% 2.45/0.55 % (178223)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=462077062:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/874Mi)
% 2.45/0.55 % (178214)Instruction limit reached!
% 2.45/0.55 % (178214)------------------------------
% 2.45/0.55 % (178214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178214)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178214)Termination reason: Instruction limit
% 2.45/0.55 % (178214)Termination phase: Saturation
% 2.45/0.55 % (178214)Time elapsed: 0.039 s
% 2.45/0.55 % (178214)Peak memory usage: 13 MB
% 2.45/0.55 % (178214)Instructions burned: 181 (million)
% 2.45/0.55 % (178219)Instruction limit reached!
% 2.45/0.55 % (178219)------------------------------
% 2.45/0.55 % (178219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178219)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178219)Termination reason: Instruction limit
% 2.45/0.55 % (178219)Termination phase: Property scanning
% 2.45/0.55 % (178219)Time elapsed: 0.022 s
% 2.45/0.55 % (178219)Peak memory usage: 12 MB
% 2.45/0.55 % (178219)Instructions burned: 99 (million)
% 2.45/0.55 % (178226)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=29721754:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 2.45/0.55 % (178227)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1112215203:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 2.45/0.55 % (178218)Instruction limit reached!
% 2.45/0.55 % (178218)------------------------------
% 2.45/0.55 % (178218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178218)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178218)Termination reason: Instruction limit
% 2.45/0.55 % (178218)Termination phase: Saturation
% 2.45/0.55 % (178218)Time elapsed: 0.056 s
% 2.45/0.55 % (178218)Peak memory usage: 14 MB
% 2.45/0.55 % (178218)Instructions burned: 248 (million)
% 2.45/0.55 % (178230)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3087832509:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 2.45/0.55 % (178227)Instruction limit reached!
% 2.45/0.55 % (178227)------------------------------
% 2.45/0.55 % (178227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178227)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178227)Termination reason: Instruction limit
% 2.45/0.55 % (178227)Termination phase: Property scanning
% 2.45/0.55 % (178227)Time elapsed: 0.028 s
% 2.45/0.55 % (178227)Peak memory usage: 12 MB
% 2.45/0.55 % (178227)Instructions burned: 132 (million)
% 2.45/0.55 % (178230)Instruction limit reached!
% 2.45/0.55 % (178230)------------------------------
% 2.45/0.55 % (178230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178230)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178230)Termination reason: Instruction limit
% 2.45/0.55 % (178230)Termination phase: Property scanning
% 2.45/0.55 % (178230)Time elapsed: 0.011 s
% 2.45/0.55 % (178230)Peak memory usage: 11 MB
% 2.45/0.55 % (178230)Instructions burned: 48 (million)
% 2.45/0.55 % (178232)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1939783806:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 2.45/0.55 % (178221) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-178103-178221"...
% 2.45/0.55 % (178221)...printing done.
% 2.45/0.55 % (178221)Refutation found. Thanks to Tanya!
% 2.45/0.55 % SZS status Theorem for theBenchmark
% 2.45/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 2.45/0.55 % (178221)------------------------------
% 2.45/0.55 % (178221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.55 % (178221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.55 % (178221)CaDiCaL version: 2.1.3
% 2.45/0.55 % (178221)Termination reason: Refutation
% 2.45/0.55 % (178221)Time elapsed: 0.074 s
% 2.45/0.55 % (178221)Peak memory usage: 16 MB
% 2.45/0.55 % (178221)Instructions burned: 320 (million)
% 2.45/0.55 % (178103)Success in time 0.382 s
% 2.45/0.55 % Vampire exiting
%------------------------------------------------------------------------------