%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU814^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 08:31:38 AM UTC 2026
% Result : Theorem 3.07s 0.86s
% Output : Refutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 99 ( 35 unt; 0 typ; 12 def)
% Number of atoms : 6554 (1808 equ; 0 cnn)
% Maximal formula atoms : 334 ( 66 avg)
% Number of connectives : 3206 ( 107 ~; 94 |;1353 &; 290 @)
% ( 18 <=>;1344 =>; 0 <=; 0 <~>)
% Maximal formula depth : 340 ( 30 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 624 ( 621 usr; 374 con; 0-6 aty)
% Number of variables : 106 ( 0 sgn 83 !; 23 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_164,type,
upairset2E: $o ).
thf(func_def_165,type,
upairsubunion: $o ).
thf(func_def_166,type,
upairinpowunion: $o ).
thf(func_def_167,type,
ubforcartprodlem1: $o ).
thf(func_def_168,type,
ubforcartprodlem2: $o ).
thf(func_def_169,type,
ubforcartprodlem3: $o ).
thf(func_def_170,type,
cartprodpairin: $o ).
thf(func_def_171,type,
cartprodmempair1: $o ).
thf(func_def_172,type,
cartprodmempair: $o ).
thf(func_def_173,type,
setunionE2: $o ).
thf(func_def_174,type,
setunionsingleton1: $o ).
thf(func_def_175,type,
setunionsingleton2: $o ).
thf(func_def_176,type,
setunionsingleton: $o ).
thf(func_def_177,type,
singleton: $i > $o ).
thf(func_def_178,type,
singletonprop: $o ).
thf(func_def_179,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_180,type,
ex1E1: $o ).
thf(func_def_181,type,
ex1I: $o ).
thf(func_def_182,type,
ex1I2: $o ).
thf(func_def_183,type,
singletonsuniq: $o ).
thf(func_def_184,type,
atmost1p: $i > $o ).
thf(func_def_185,type,
atleast2p: $i > $o ).
thf(func_def_186,type,
atmost2p: $i > $o ).
thf(func_def_187,type,
upairsetp: $i > $o ).
thf(func_def_188,type,
setukpairinjL1: $o ).
thf(func_def_189,type,
kfstsingleton: $o ).
thf(func_def_190,type,
theprop: $o ).
thf(func_def_191,type,
kfst: $i > $i ).
thf(func_def_192,type,
kfstpairEq: $o ).
thf(func_def_193,type,
cartprodfstin: $o ).
thf(func_def_194,type,
setukpairinjL2: $o ).
thf(func_def_195,type,
setukpairinjL: $o ).
thf(func_def_196,type,
setukpairinjR11: $o ).
thf(func_def_197,type,
setukpairinjR12: $o ).
thf(func_def_198,type,
setukpairinjR1: $o ).
thf(func_def_199,type,
upairequniteq: $o ).
thf(func_def_200,type,
setukpairinjR2: $o ).
thf(func_def_201,type,
setukpairinjR: $o ).
thf(func_def_202,type,
ksndsingleton: $o ).
thf(func_def_203,type,
ksnd: $i > $i ).
thf(func_def_204,type,
ksndpairEq: $o ).
thf(func_def_205,type,
kpairsurjEq: $o ).
thf(func_def_206,type,
cartprodsndin: $o ).
thf(func_def_207,type,
cartprodpairmemEL: $o ).
thf(func_def_208,type,
cartprodpairmemER: $o ).
thf(func_def_209,type,
cartprodmempaircEq: $o ).
thf(func_def_210,type,
cartprodfstpairEq: $o ).
thf(func_def_211,type,
cartprodsndpairEq: $o ).
thf(func_def_212,type,
cartprodpairsurjEq: $o ).
thf(func_def_213,type,
breln: $i > $i > $i > $o ).
thf(func_def_214,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_215,type,
dpsetconstrI: $o ).
thf(func_def_216,type,
dpsetconstrSub: $o ).
thf(func_def_217,type,
setOfPairsIsBReln: $o ).
thf(func_def_218,type,
dpsetconstrERa: $o ).
thf(func_def_219,type,
dpsetconstrEL1: $o ).
thf(func_def_220,type,
dpsetconstrEL2: $o ).
thf(func_def_221,type,
dpsetconstrER: $o ).
thf(func_def_222,type,
func: $i > $i > $i > $o ).
thf(func_def_223,type,
funcSet: $i > $i > $i ).
thf(func_def_224,type,
funcImageSingleton: $o ).
thf(func_def_225,type,
apProp: $o ).
thf(func_def_226,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_227,type,
app: $o ).
thf(func_def_228,type,
infuncsetfunc: $o ).
thf(func_def_229,type,
ap2p: $o ).
thf(func_def_230,type,
funcinfuncset: $o ).
thf(func_def_231,type,
lamProp: $o ).
thf(func_def_232,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(func_def_233,type,
lamp: $o ).
thf(func_def_234,type,
lam2p: $o ).
thf(func_def_235,type,
brelnall1: $o ).
thf(func_def_236,type,
brelnall2: $o ).
thf(func_def_237,type,
ex1E2: $o ).
thf(func_def_238,type,
funcGraphProp1: $o ).
thf(func_def_239,type,
funcGraphProp3: $o ).
thf(func_def_240,type,
funcGraphProp2: $o ).
thf(func_def_241,type,
funcextLem: $o ).
thf(func_def_242,type,
funcGraphProp4: $o ).
thf(func_def_243,type,
subbreln: $o ).
thf(func_def_244,type,
eqbreln: $o ).
thf(func_def_245,type,
funcext: $o ).
thf(func_def_246,type,
funcext2: $o ).
thf(func_def_247,type,
ap2apEq1: $o ).
thf(func_def_248,type,
ap2apEq2: $o ).
thf(func_def_249,type,
beta1: $o ).
thf(func_def_250,type,
eta1: $o ).
thf(func_def_251,type,
lam2lamEq: $o ).
thf(func_def_252,type,
beta2: $o ).
thf(func_def_253,type,
eta2: $o ).
thf(func_def_254,type,
iffalseProp1: $o ).
thf(func_def_255,type,
iffalseProp2: $o ).
thf(func_def_256,type,
iftrueProp1: $o ).
thf(func_def_257,type,
iftrueProp2: $o ).
thf(func_def_258,type,
ifSingleton: $o ).
thf(func_def_259,type,
if: $i > $o > $i > $i > $i ).
thf(func_def_260,type,
ifp: $o ).
thf(func_def_261,type,
theeq: $o ).
thf(func_def_262,type,
iftrue: $o ).
thf(func_def_263,type,
iffalse: $o ).
thf(func_def_264,type,
iftrueorfalse: $o ).
thf(func_def_265,type,
binintersectT_lem: $o ).
thf(func_def_266,type,
binunionT_lem: $o ).
thf(func_def_267,type,
powersetT_lem: $o ).
thf(func_def_268,type,
setminusT_lem: $o ).
thf(func_def_269,type,
complementT_lem: $o ).
thf(func_def_270,type,
setextT: $o ).
thf(func_def_271,type,
subsetTI: $o ).
thf(func_def_272,type,
powersetTI1: $o ).
thf(func_def_273,type,
powersetTE1: $o ).
thf(func_def_274,type,
complementTI1: $o ).
thf(func_def_275,type,
complementTE1: $o ).
thf(func_def_276,type,
binintersectTELcontra: $o ).
thf(func_def_277,type,
binintersectTERcontra: $o ).
thf(func_def_278,type,
contrasubsetT: $o ).
thf(func_def_279,type,
contrasubsetT1: $o ).
thf(func_def_280,type,
contrasubsetT2: $o ).
thf(func_def_281,type,
contrasubsetT3: $o ).
thf(func_def_282,type,
doubleComplementI1: $o ).
thf(func_def_283,type,
doubleComplementE1: $o ).
thf(func_def_284,type,
doubleComplementSub1: $o ).
thf(func_def_285,type,
doubleComplementSub2: $o ).
thf(func_def_286,type,
doubleComplementEq: $o ).
thf(func_def_287,type,
complementTnotintersectT: $o ).
thf(func_def_288,type,
complementImpComplementIntersect: $o ).
thf(func_def_289,type,
complementSubsetComplementIntersect: $o ).
thf(func_def_290,type,
complementInPowersetComplementIntersect: $o ).
thf(func_def_291,type,
contraSubsetComplement: $o ).
thf(func_def_292,type,
complementTcontraSubset: $o ).
thf(func_def_293,type,
binunionTILcontra: $o ).
thf(func_def_294,type,
binunionTIRcontra: $o ).
thf(func_def_295,type,
inIntersectImpInUnion: $o ).
thf(func_def_296,type,
inIntersectImpInUnion2: $o ).
thf(func_def_297,type,
inIntersectImpInIntersectUnions: $o ).
thf(func_def_298,type,
intersectInPowersetIntersectUnions: $o ).
thf(func_def_299,type,
inComplementUnionImpNotIn1: $o ).
thf(func_def_300,type,
inComplementUnionImpInComplement1: $o ).
thf(func_def_301,type,
binunionTE: $o ).
thf(func_def_302,type,
binunionTEcontra: $o ).
thf(func_def_303,type,
demorgan2a1: $o ).
thf(func_def_304,type,
complementUnionInPowersetComplement: $o ).
thf(func_def_305,type,
demorgan2a2: $o ).
thf(func_def_306,type,
demorgan1a: $o ).
thf(func_def_307,type,
demorgan1b: $o ).
thf(func_def_308,type,
demorgan1: $o ).
thf(func_def_309,type,
demorgan2a: $o ).
thf(func_def_310,type,
demorgan2b2: $o ).
thf(func_def_311,type,
demorgan2b: $o ).
thf(func_def_312,type,
demorgan2: $o ).
thf(func_def_313,type,
woz13rule0: $o ).
thf(func_def_314,type,
woz13rule1: $o ).
thf(func_def_315,type,
woz13rule2: $o ).
thf(func_def_316,type,
woz13rule3: $o ).
thf(func_def_317,type,
woz13rule4: $o ).
thf(func_def_318,type,
woz1_1: $o ).
thf(func_def_319,type,
woz1_2: $o ).
thf(func_def_320,type,
woz1_3: $o ).
thf(func_def_321,type,
woz1_4: $o ).
thf(func_def_322,type,
woz1_5: $o ).
thf(func_def_323,type,
breln1: $i > $i > $o ).
thf(func_def_324,type,
breln1all2: $o ).
thf(func_def_325,type,
breln1Set: $i > $i ).
thf(func_def_326,type,
breln1SetBreln1: $o ).
thf(func_def_327,type,
transitive: $i > $i > $o ).
thf(func_def_328,type,
antisymmetric: $i > $i > $o ).
thf(func_def_329,type,
reflexive: $i > $i > $o ).
thf(func_def_330,type,
refltransitive: $i > $i > $o ).
thf(func_def_331,type,
refllinearorder: $i > $i > $o ).
thf(func_def_332,type,
reflwellordering: $i > $i > $o ).
thf(func_def_333,type,
choice2fnsingleton: $o ).
thf(func_def_334,type,
setOfPairsIsBReln1: $o ).
thf(func_def_335,type,
breln1all1: $o ).
thf(func_def_336,type,
subbreln1: $o ).
thf(func_def_337,type,
eqbreln1: $o ).
thf(func_def_338,type,
breln1invset: $i > $i > $i ).
thf(func_def_339,type,
breln1invprop: $o ).
thf(func_def_340,type,
breln1invI: $o ).
thf(func_def_341,type,
breln1invE: $o ).
thf(func_def_342,type,
breln1compset: $i > $i > $i > $i ).
thf(func_def_343,type,
breln1compprop: $o ).
thf(func_def_344,type,
breln1compI: $o ).
thf(func_def_345,type,
breln1compE: $o ).
thf(func_def_346,type,
breln1compEex: $o ).
thf(func_def_347,type,
breln1unionprop: $o ).
thf(func_def_348,type,
breln1unionIL: $o ).
thf(func_def_349,type,
breln1unionIR: $o ).
thf(func_def_350,type,
breln1unionI: $o ).
thf(func_def_351,type,
breln1unionE: $o ).
thf(func_def_352,type,
breln1unionEcases: $o ).
thf(func_def_353,type,
breln1unionCommutes: $o ).
thf(func_def_354,type,
woz2Ex: $o ).
thf(func_def_355,type,
woz2W: $o ).
thf(func_def_356,type,
woz2A: $o ).
thf(func_def_357,type,
woz2B: $o ).
thf(func_def_358,type,
image1Ex: $o ).
thf(func_def_359,type,
image1Ex1: $o ).
thf(func_def_360,type,
image1: $i > ( $i > $i ) > $i ).
thf(func_def_361,type,
image1Equiv: $o ).
thf(func_def_362,type,
image1E: $o ).
thf(func_def_363,type,
image1I: $o ).
thf(func_def_364,type,
injective: $i > $i > $i > $o ).
thf(func_def_365,type,
injFuncSet: $i > $i > $i ).
thf(func_def_366,type,
injFuncInInjFuncSet: $o ).
thf(func_def_367,type,
injFuncSetFuncIn: $o ).
thf(func_def_368,type,
injFuncSetFuncInj: $o ).
thf(func_def_369,type,
surjective: $i > $i > $i > $o ).
thf(func_def_370,type,
surjFuncSet: $i > $i > $i ).
thf(func_def_371,type,
surjFuncSetFuncIn: $o ).
thf(func_def_372,type,
surjFuncSetFuncSurj: $o ).
thf(func_def_373,type,
leftInvIsSurj: $o ).
thf(func_def_374,type,
surjCantorThm: $o ).
thf(func_def_375,type,
foundation2: $o ).
thf(func_def_376,type,
notinself: $o ).
thf(func_def_377,type,
notinself2: $o ).
thf(func_def_378,type,
omegaS: $i > $i ).
thf(func_def_379,type,
omegaSp: $o ).
thf(func_def_380,type,
omegaSclos: $o ).
thf(func_def_381,type,
peano0notS: $o ).
thf(func_def_382,type,
peano3: $i > $i > $i > $o ).
thf(func_def_383,type,
peano4: $i > $i > $i > $o ).
thf(func_def_384,type,
peano5: $i > $i > $i > $o ).
thf(func_def_385,type,
peanoSinj: $o ).
thf(func_def_386,type,
peano: $i > $i > $i > $o ).
thf(func_def_387,type,
transitiveset: $i > $o ).
thf(func_def_388,type,
transitivesetOp1: $o ).
thf(func_def_389,type,
binintTransitive: $o ).
thf(func_def_392,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_393,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_394,type,
vOR: $o > $o > $o ).
thf(func_def_395,type,
vAND: $o > $o > $o ).
thf(func_def_396,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_397,type,
vNOT: $o > $o ).
thf(func_def_398,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_399,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_400,type,
vIFF: $o > $o > $o ).
thf(func_def_401,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_402,type,
vIMP: $o > $o > $o ).
thf(func_def_403,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_404,type,
sP0: $i > $i > $o ).
thf(func_def_405,type,
sP1: $i > $o ).
thf(func_def_411,type,
sK7: $o ).
thf(func_def_413,type,
sK9: ( $i > $o ) > $i > $i > $i ).
thf(func_def_414,type,
sK10: ( $i > $o ) > $i > $i > $i ).
thf(func_def_417,type,
sK13: $i > $o ).
thf(func_def_420,type,
sK16: $o ).
thf(func_def_434,type,
sK30: $i > $i > $o ).
thf(func_def_445,type,
sK41: $o ).
thf(func_def_492,type,
sK88: $i > $i > $i > $i > $i ).
thf(func_def_515,type,
sK111: $i > $i > $o ).
thf(func_def_524,type,
sK120: $o ).
thf(func_def_537,type,
sK133: ( $i > $o ) > $i > $i ).
thf(func_def_539,type,
sK135: $i > $o ).
thf(func_def_549,type,
sK145: $i > $i > $i > $i > $i ).
thf(func_def_550,type,
sK146: $i > $i > $i > $i > $i ).
thf(func_def_551,type,
sK147: $i > $i > $i > $i > $i ).
thf(func_def_552,type,
sK148: $i > $i > $i > $i > $i ).
thf(func_def_563,type,
sK159: $i > $i ).
thf(func_def_575,type,
sK171: $o ).
thf(func_def_576,type,
sK172: $o > $i > $i > $i > $i > $i > $i ).
thf(func_def_577,type,
sK173: ( $i > $o ) > $i > $i ).
thf(func_def_579,type,
sK175: $i > $o ).
thf(func_def_586,type,
sK182: $o ).
thf(func_def_591,type,
sK187: $i > $i > $i ).
thf(func_def_603,type,
sK199: $i > $i > $i ).
thf(func_def_617,type,
sK213: $i > $i ).
thf(func_def_619,type,
sK215: $i > $i ).
thf(func_def_620,type,
sK216: $i > $i ).
thf(func_def_621,type,
sK217: $i > ( $i > $i ) > $i ).
thf(func_def_622,type,
sK218: $i > $i > ( $i > $i ) > $i ).
thf(func_def_637,type,
sK233: $o ).
thf(func_def_643,type,
sK239: $i > $o ).
thf(func_def_646,type,
sK242: $i > $i > $o ).
thf(func_def_651,type,
sK247: ( $i > $i ) > $i > $i > $i ).
thf(func_def_654,type,
sK250: $i > $i ).
thf(func_def_661,type,
sK257: $i > $i > $i ).
thf(func_def_683,type,
sK279: $i > $i > $o ).
thf(func_def_685,type,
sK281: $i > $i ).
thf(func_def_686,type,
sK282: $i > $i ).
thf(func_def_687,type,
sK283: $i > ( $i > $i > $o ) > $i ).
thf(func_def_688,type,
sK284: $i > ( $i > $i > $o ) > $i ).
thf(func_def_689,type,
sK285: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_697,type,
sK293: $i > $o ).
thf(func_def_699,type,
sK295: $i > ( $i > $o ) > $i ).
thf(func_def_706,type,
sK302: $i > $o ).
thf(func_def_708,type,
sK304: ( $i > $o ) > $i > $i ).
thf(func_def_711,type,
sK307: $o ).
thf(func_def_719,type,
sK315: $o ).
thf(func_def_723,type,
sK319: $i > $o ).
thf(func_def_724,type,
sK320: $i > $o ).
thf(func_def_725,type,
sK321: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_726,type,
sK322: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_730,type,
sK326: $o ).
thf(func_def_740,type,
sK336: $i > $i ).
thf(func_def_741,type,
sK337: $i > $i ).
thf(func_def_745,type,
sK341: $i > $i > $i > $i ).
thf(func_def_746,type,
sK342: $i > $i > $i > $i ).
thf(func_def_764,type,
sK360: $i > $o ).
thf(func_def_776,type,
sK372: $i > $o ).
thf(func_def_777,type,
sK373: $i > ( $i > $i ) > $i > $i ).
thf(func_def_779,type,
sK375: $i > $i ).
thf(func_def_789,type,
sK385: $i > $i ).
thf(func_def_790,type,
sK386: ( $i > $i ) > $i > $i > $i ).
thf(func_def_798,type,
sK394: $o ).
thf(func_def_805,type,
sK401: $o ).
thf(func_def_808,type,
sK404: $i > $i > $i ).
thf(func_def_811,type,
sK407: $i > $o ).
thf(func_def_814,type,
sK410: $i > ( $i > $o ) > $i ).
thf(func_def_818,type,
sK414: $i > $o ).
thf(func_def_820,type,
sK416: $i > ( $i > $o ) > $i ).
thf(func_def_836,type,
sK432: $i > $o ).
thf(func_def_845,type,
sK441: $i > $i > $i > $i > $i ).
thf(func_def_878,type,
sK474: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_879,type,
sK475: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_883,type,
sK479: $i > $o ).
thf(func_def_889,type,
sK485: $o ).
thf(func_def_894,type,
sK490: $i > $o ).
thf(func_def_895,type,
sK491: $i > $o ).
thf(func_def_896,type,
sK492: ( $i > $o ) > $i ).
thf(func_def_898,type,
sK494: ( $i > $i ) > $i > $i > $i ).
thf(func_def_901,type,
sK497: $i > $i ).
thf(func_def_905,type,
sK501: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_907,type,
sK503: $i > $i > $o ).
thf(func_def_911,type,
sK507: $i > $i ).
thf(func_def_925,type,
sK521: ( $i > $o ) > $i ).
thf(func_def_926,type,
sK522: $i > $o ).
thf(func_def_927,type,
sK523: $i > $i ).
thf(func_def_946,type,
sK542: $i > $i ).
thf(func_def_949,type,
sK545: $i > ( $i > $i ) > $i > $i ).
thf(func_def_950,type,
sK546: $i > $i > $i > $i > $i > $i ).
thf(func_def_957,type,
sK553: $i > $i ).
thf(func_def_958,type,
sK554: $i > $o ).
thf(func_def_961,type,
sK557: $o ).
thf(func_def_962,type,
sK558: $i > $i ).
thf(func_def_966,type,
sK562: $i > $i > $o ).
thf(func_def_976,type,
sK572: $o ).
thf(func_def_977,type,
sK573: $o > $i > $i > $i ).
thf(func_def_979,type,
sK575: $i > $o ).
thf(func_def_985,type,
sK581: $i > $i > ( $i > $i ) > $i > $i ).
thf(func_def_986,type,
sK582: $i > ( $i > $i ) > $i > $i ).
thf(func_def_988,type,
sK584: $i > $i ).
thf(func_def_995,type,
sK591: $i > $i > $i > $i ).
thf(func_def_1003,type,
sK599: $i > $i ).
thf(func_def_1004,type,
sK600: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1011,type,
sK607: $i > $i > $i ).
thf(func_def_1024,type,
sK620: ( $i > $i ) > $i > $i > $i ).
thf(func_def_1027,type,
sK623: $i > $i ).
thf(func_def_1039,type,
sK635: $i > $i ).
thf(func_def_1059,type,
sK655: $i > $i > $o ).
thf(func_def_1061,type,
sK657: $i > $i > $i ).
thf(func_def_1075,type,
sK671: $i > $o ).
thf(func_def_1078,type,
sK674: $i > ( $i > $o ) > $i ).
thf(func_def_1079,type,
sK675: $i > $o ).
thf(func_def_1106,type,
sK702: $i > $i ).
thf(func_def_1108,type,
sK704: $i > ( $i > $i ) > $i > $i ).
thf(func_def_1114,type,
sK710: $i > $o ).
thf(func_def_1121,type,
sK717: $i > $o ).
thf(func_def_1134,type,
sK730: ( $i > $o ) > $i ).
thf(func_def_1135,type,
sK731: ( $i > $o ) > $i ).
thf(func_def_1136,type,
sK732: $i > $o ).
thf(func_def_1156,type,
sK752: $i > $i > $i > $i ).
thf(func_def_1157,type,
sK753: $i > $i > $i > $i ).
thf(func_def_1163,type,
sK759: ( $i > $o ) > $i > $i ).
thf(func_def_1164,type,
sK760: ( $i > $o ) > $i > $i ).
thf(func_def_1166,type,
sK762: $i > $o ).
thf(func_def_1168,type,
sK764: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1169,type,
sK765: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_1170,type,
sK766: $i > $o ).
thf(func_def_1171,type,
sK767: $i > $o ).
thf(func_def_1180,type,
sK776: $i > $i > $i > $i > $i ).
thf(func_def_1188,type,
sK784: $i > $i ).
thf(func_def_1196,type,
sK792: $i > $o ).
thf(func_def_1198,type,
sK794: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1199,type,
sK795: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1202,type,
sK798: $i > $i > $i ).
thf(func_def_1211,type,
sK807: $i > $o ).
thf(func_def_1219,type,
sK815: $i > $o ).
thf(func_def_1221,type,
sK817: ( $i > $o ) > $i > $i ).
thf(func_def_1222,type,
sK818: ( $i > $o ) > $i > $i ).
thf(func_def_1233,type,
sK829: ( $i > $o ) > $i ).
thf(func_def_1234,type,
sK830: $i > $o ).
thf(func_def_1235,type,
sK831: $i > $i ).
thf(func_def_1251,type,
sK847: $o ).
thf(func_def_1259,type,
sK855: $i > $i > $i > $i ).
thf(func_def_1260,type,
sK856: $i > $i > $i > $i ).
thf(func_def_1261,type,
sK857: $i > $o ).
thf(func_def_1277,type,
sK873: $i > $i > $i ).
thf(func_def_1282,type,
sK878: $i > $i ).
thf(func_def_1284,type,
sK880: $i > $o ).
thf(func_def_1294,type,
sK890: $i > $o ).
thf(func_def_1296,type,
sK892: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1297,type,
sK893: ( $i > $o ) > $i > $i > $i > $i ).
thf(func_def_1298,type,
sK894: $i > $o ).
thf(func_def_1301,type,
sK897: $i > ( $i > $o ) > $i ).
thf(func_def_1317,type,
sK913: $i > $i ).
thf(func_def_1318,type,
sK914: $i > $i ).
thf(func_def_1319,type,
sK915: $i > $i ).
thf(func_def_1320,type,
sK916: $i > $i ).
thf(func_def_1321,type,
sK917: $i > $i > $i ).
thf(func_def_1322,type,
sK918: $i > $i > $i ).
thf(func_def_1323,type,
sK919: $i > $i > $i > $i ).
thf(func_def_1324,type,
sK920: $i > $i > $i > $i ).
thf(func_def_1325,type,
sK921: $i > $i > $i > $i ).
thf(func_def_1326,type,
sK922: $i > $i > $i ).
thf(func_def_1327,type,
sK923: $i > $i > $i ).
thf(func_def_1328,type,
sK924: $i > $i > $i ).
thf(func_def_1330,type,
sK926: $i > $i ).
thf(func_def_1331,type,
sK927: $i > $i ).
thf(func_def_1332,type,
sK928: $i > $i ).
thf(func_def_1333,type,
sK929: $i > $i ).
thf(func_def_1334,type,
sK930: $i > $i ).
thf(func_def_1335,type,
sK931: $i > $i > $i > $i ).
thf(func_def_1345,type,
sK941: $i > $i > $o ).
thf(func_def_1354,type,
sK950: $o ).
thf(func_def_1361,type,
sK957: $i > $i > $o ).
thf(func_def_1366,type,
sK962: $i > $i > $o ).
thf(func_def_1370,type,
sK966: $o ).
thf(func_def_1380,type,
sK976: $o ).
thf(func_def_1385,type,
sK981: $o ).
thf(func_def_1387,type,
sK983: $i > $i > $i > $i > $i ).
thf(func_def_1388,type,
sK984: $i > $i > $i > $i > $i ).
thf(func_def_1403,type,
sK999: $i > ( $i > $o ) > $i ).
thf(func_def_1404,type,
sK1000: $i > $o ).
thf(func_def_1409,type,
sK1005: $i > $o ).
thf(func_def_1410,type,
sK1006: $i > $o ).
thf(func_def_1411,type,
sK1007: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_1412,type,
sK1008: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_1413,type,
sK1009: $i > $i ).
thf(func_def_1417,type,
sK1013: $i > $o ).
thf(func_def_1418,type,
sK1014: ( $i > $o ) > $i > $i > $i ).
thf(func_def_1432,type,
sK1028: $i > $i > $i > $i ).
thf(func_def_1433,type,
sK1029: $i > $i > $i > $i ).
thf(func_def_1434,type,
sK1030: $i > $i > $i > $i ).
thf(func_def_1435,type,
sK1031: $i > $i > $i > $i ).
thf(func_def_1440,type,
sK1036: $i > $i ).
thf(func_def_1444,type,
sK1040: $i > $i > $i > $i ).
thf(func_def_1460,type,
sK1056: $i > $i > $i ).
thf(func_def_1461,type,
sK1057: $i > $i > $i ).
thf(f110,axiom,
( binintersectEL
= ( ! [X2: $i,X1: $i,X0: $i] :
( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
=> ( in @ X2 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectEL) ).
thf(f117,axiom,
( binintersectSubset4
= ( ! [X1: $i,X0: $i] :
( ( subset @ X1 @ X0 )
=> ( ( binintersect @ X0 @ X1 )
= X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectSubset4) ).
thf(f332,axiom,
( transitivesetOp1
= ( ! [X0: $i] :
( ( transitiveset @ X0 )
=> ! [X1: $i] :
( ( in @ X1 @ X0 )
=> ( subset @ X1 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivesetOp1) ).
thf(f334,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ( omegaSp
=> ( omegaSclos
=> ( peano0notS
=> ( peanoSinj
=> ( transitivesetOp1
=> ( binintTransitive
=> ! [X0: $i] :
( ( transitiveset @ X0 )
=> ! [X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivesetOp2) ).
thf(f335,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ( omegaSp
=> ( omegaSclos
=> ( peano0notS
=> ( peanoSinj
=> ( transitivesetOp1
=> ( binintTransitive
=> ! [X0: $i] :
( ( transitiveset @ X0 )
=> ! [X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f334]) ).
thf(f362,plain,
( transitivesetOp1
= ( ! [X0: $i] :
( ( transitiveset @ X0 )
=> ! [X1: $i] :
( ( in @ X1 @ X0 )
=> ( subset @ X1 @ X0 ) ) ) ) ),
inference(rectify,[],[f332]) ).
thf(f363,plain,
( ( transitivesetOp1 = $true )
<=> ! [X0: $i] :
( ( ( transitiveset @ X0 )
= $true )
=> ! [X1: $i] :
( ( ( in @ X1 @ X0 )
= $true )
=> ( ( subset @ X1 @ X0 )
= $true ) ) ) ),
inference(fool_elimination,[],[f362]) ).
thf(f400,plain,
( binintersectSubset4
= ( ! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( ( binintersect @ X1 @ X0 )
= X0 ) ) ) ),
inference(rectify,[],[f117]) ).
thf(f401,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
= $true )
=> ( ( binintersect @ X1 @ X0 )
= X0 ) )
<=> ( binintersectSubset4 = $true ) ),
inference(fool_elimination,[],[f400]) ).
thf(f454,plain,
( binintersectEL
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
=> ( in @ X0 @ X2 ) ) ) ),
inference(rectify,[],[f110]) ).
thf(f455,plain,
( ( binintersectEL = $true )
<=> ! [X1: $i,X2: $i,X0: $i] :
( ( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
= $true )
=> ( ( in @ X0 @ X2 )
= $true ) ) ),
inference(fool_elimination,[],[f454]) ).
thf(f533,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ( dpsetconstrI
=> ( dpsetconstrSub
=> ( setOfPairsIsBReln
=> ( dpsetconstrERa
=> ( dpsetconstrEL1
=> ( dpsetconstrEL2
=> ( dpsetconstrER
=> ( funcImageSingleton
=> ( apProp
=> ( app
=> ( infuncsetfunc
=> ( ap2p
=> ( funcinfuncset
=> ( lamProp
=> ( lamp
=> ( lam2p
=> ( brelnall1
=> ( brelnall2
=> ( ex1E2
=> ( funcGraphProp1
=> ( funcGraphProp3
=> ( funcGraphProp2
=> ( funcextLem
=> ( funcGraphProp4
=> ( subbreln
=> ( eqbreln
=> ( funcext
=> ( funcext2
=> ( ap2apEq1
=> ( ap2apEq2
=> ( beta1
=> ( eta1
=> ( lam2lamEq
=> ( beta2
=> ( eta2
=> ( iffalseProp1
=> ( iffalseProp2
=> ( iftrueProp1
=> ( iftrueProp2
=> ( ifSingleton
=> ( ifp
=> ( theeq
=> ( iftrue
=> ( iffalse
=> ( iftrueorfalse
=> ( binintersectT_lem
=> ( binunionT_lem
=> ( powersetT_lem
=> ( setminusT_lem
=> ( complementT_lem
=> ( setextT
=> ( subsetTI
=> ( powersetTI1
=> ( powersetTE1
=> ( complementTI1
=> ( complementTE1
=> ( binintersectTELcontra
=> ( binintersectTERcontra
=> ( contrasubsetT
=> ( contrasubsetT1
=> ( contrasubsetT2
=> ( contrasubsetT3
=> ( doubleComplementI1
=> ( doubleComplementE1
=> ( doubleComplementSub1
=> ( doubleComplementSub2
=> ( doubleComplementEq
=> ( complementTnotintersectT
=> ( complementImpComplementIntersect
=> ( complementSubsetComplementIntersect
=> ( complementInPowersetComplementIntersect
=> ( contraSubsetComplement
=> ( complementTcontraSubset
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ( inIntersectImpInUnion
=> ( inIntersectImpInUnion2
=> ( inIntersectImpInIntersectUnions
=> ( intersectInPowersetIntersectUnions
=> ( inComplementUnionImpNotIn1
=> ( inComplementUnionImpInComplement1
=> ( binunionTE
=> ( binunionTEcontra
=> ( demorgan2a1
=> ( complementUnionInPowersetComplement
=> ( demorgan2a2
=> ( demorgan1a
=> ( demorgan1b
=> ( demorgan1
=> ( demorgan2a
=> ( demorgan2b2
=> ( demorgan2b
=> ( demorgan2
=> ( woz13rule0
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ( woz13rule4
=> ( woz1_1
=> ( woz1_2
=> ( woz1_3
=> ( woz1_4
=> ( woz1_5
=> ( breln1all2
=> ( breln1SetBreln1
=> ( choice2fnsingleton
=> ( setOfPairsIsBReln1
=> ( breln1all1
=> ( subbreln1
=> ( eqbreln1
=> ( breln1invprop
=> ( breln1invI
=> ( breln1invE
=> ( breln1compprop
=> ( breln1compI
=> ( breln1compE
=> ( breln1compEex
=> ( breln1unionprop
=> ( breln1unionIL
=> ( breln1unionIR
=> ( breln1unionI
=> ( breln1unionE
=> ( breln1unionEcases
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ( woz2B
=> ( image1Ex
=> ( image1Ex1
=> ( image1Equiv
=> ( image1E
=> ( image1I
=> ( injFuncInInjFuncSet
=> ( injFuncSetFuncIn
=> ( injFuncSetFuncInj
=> ( surjFuncSetFuncIn
=> ( surjFuncSetFuncSurj
=> ( leftInvIsSurj
=> ( surjCantorThm
=> ( foundation2
=> ( notinself
=> ( notinself2
=> ( omegaSp
=> ( omegaSclos
=> ( peano0notS
=> ( peanoSinj
=> ( transitivesetOp1
=> ( binintTransitive
=> ! [X0: $i] :
( ( transitiveset @ X0 )
=> ! [X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f335]) ).
thf(f534,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ( ( dpsetconstrI = $true )
=> ( ( dpsetconstrSub = $true )
=> ( ( setOfPairsIsBReln = $true )
=> ( ( dpsetconstrERa = $true )
=> ( ( dpsetconstrEL1 = $true )
=> ( ( dpsetconstrEL2 = $true )
=> ( ( dpsetconstrER = $true )
=> ( ( funcImageSingleton = $true )
=> ( ( apProp = $true )
=> ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ( ( ap2p = $true )
=> ( ( funcinfuncset = $true )
=> ( ( lamProp = $true )
=> ( ( lamp = $true )
=> ( ( lam2p = $true )
=> ( ( brelnall1 = $true )
=> ( ( brelnall2 = $true )
=> ( ( ex1E2 = $true )
=> ( ( funcGraphProp1 = $true )
=> ( ( funcGraphProp3 = $true )
=> ( ( funcGraphProp2 = $true )
=> ( ( funcextLem = $true )
=> ( ( funcGraphProp4 = $true )
=> ( ( subbreln = $true )
=> ( ( eqbreln = $true )
=> ( ( funcext = $true )
=> ( ( funcext2 = $true )
=> ( ( ap2apEq1 = $true )
=> ( ( ap2apEq2 = $true )
=> ( ( beta1 = $true )
=> ( ( eta1 = $true )
=> ( ( lam2lamEq = $true )
=> ( ( beta2 = $true )
=> ( ( eta2 = $true )
=> ( ( iffalseProp1 = $true )
=> ( ( iffalseProp2 = $true )
=> ( ( iftrueProp1 = $true )
=> ( ( iftrueProp2 = $true )
=> ( ( ifSingleton = $true )
=> ( ( ifp = $true )
=> ( ( theeq = $true )
=> ( ( iftrue = $true )
=> ( ( iffalse = $true )
=> ( ( iftrueorfalse = $true )
=> ( ( binintersectT_lem = $true )
=> ( ( binunionT_lem = $true )
=> ( ( powersetT_lem = $true )
=> ( ( setminusT_lem = $true )
=> ( ( complementT_lem = $true )
=> ( ( setextT = $true )
=> ( ( subsetTI = $true )
=> ( ( powersetTI1 = $true )
=> ( ( powersetTE1 = $true )
=> ( ( complementTI1 = $true )
=> ( ( complementTE1 = $true )
=> ( ( binintersectTELcontra = $true )
=> ( ( binintersectTERcontra = $true )
=> ( ( contrasubsetT = $true )
=> ( ( contrasubsetT1 = $true )
=> ( ( contrasubsetT2 = $true )
=> ( ( contrasubsetT3 = $true )
=> ( ( doubleComplementI1 = $true )
=> ( ( doubleComplementE1 = $true )
=> ( ( doubleComplementSub1 = $true )
=> ( ( doubleComplementSub2 = $true )
=> ( ( doubleComplementEq = $true )
=> ( ( complementTnotintersectT = $true )
=> ( ( complementImpComplementIntersect = $true )
=> ( ( complementSubsetComplementIntersect = $true )
=> ( ( complementInPowersetComplementIntersect = $true )
=> ( ( contraSubsetComplement = $true )
=> ( ( complementTcontraSubset = $true )
=> ( ( binunionTILcontra = $true )
=> ( ( binunionTIRcontra = $true )
=> ( ( inIntersectImpInUnion = $true )
=> ( ( inIntersectImpInUnion2 = $true )
=> ( ( inIntersectImpInIntersectUnions = $true )
=> ( ( intersectInPowersetIntersectUnions = $true )
=> ( ( inComplementUnionImpNotIn1 = $true )
=> ( ( inComplementUnionImpInComplement1 = $true )
=> ( ( binunionTE = $true )
=> ( ( binunionTEcontra = $true )
=> ( ( demorgan2a1 = $true )
=> ( ( complementUnionInPowersetComplement = $true )
=> ( ( demorgan2a2 = $true )
=> ( ( demorgan1a = $true )
=> ( ( demorgan1b = $true )
=> ( ( demorgan1 = $true )
=> ( ( demorgan2a = $true )
=> ( ( demorgan2b2 = $true )
=> ( ( demorgan2b = $true )
=> ( ( demorgan2 = $true )
=> ( ( woz13rule0 = $true )
=> ( ( woz13rule1 = $true )
=> ( ( woz13rule2 = $true )
=> ( ( woz13rule3 = $true )
=> ( ( woz13rule4 = $true )
=> ( ( woz1_1 = $true )
=> ( ( woz1_2 = $true )
=> ( ( woz1_3 = $true )
=> ( ( woz1_4 = $true )
=> ( ( woz1_5 = $true )
=> ( ( breln1all2 = $true )
=> ( ( breln1SetBreln1 = $true )
=> ( ( choice2fnsingleton = $true )
=> ( ( setOfPairsIsBReln1 = $true )
=> ( ( breln1all1 = $true )
=> ( ( subbreln1 = $true )
=> ( ( eqbreln1 = $true )
=> ( ( breln1invprop = $true )
=> ( ( breln1invI = $true )
=> ( ( breln1invE = $true )
=> ( ( breln1compprop = $true )
=> ( ( breln1compI = $true )
=> ( ( breln1compE = $true )
=> ( ( breln1compEex = $true )
=> ( ( breln1unionprop = $true )
=> ( ( breln1unionIL = $true )
=> ( ( breln1unionIR = $true )
=> ( ( breln1unionI = $true )
=> ( ( breln1unionE = $true )
=> ( ( breln1unionEcases = $true )
=> ( ( breln1unionCommutes = $true )
=> ( ( woz2Ex = $true )
=> ( ( woz2W = $true )
=> ( ( woz2A = $true )
=> ( ( woz2B = $true )
=> ( ( image1Ex = $true )
=> ( ( image1Ex1 = $true )
=> ( ( image1Equiv = $true )
=> ( ( image1E = $true )
=> ( ( image1I = $true )
=> ( ( injFuncInInjFuncSet = $true )
=> ( ( injFuncSetFuncIn = $true )
=> ( ( injFuncSetFuncInj = $true )
=> ( ( surjFuncSetFuncIn = $true )
=> ( ( surjFuncSetFuncSurj = $true )
=> ( ( leftInvIsSurj = $true )
=> ( ( surjCantorThm = $true )
=> ( ( foundation2 = $true )
=> ( ( notinself = $true )
=> ( ( notinself2 = $true )
=> ( ( omegaSp = $true )
=> ( ( omegaSclos = $true )
=> ( ( peano0notS = $true )
=> ( ( peanoSinj = $true )
=> ( ( transitivesetOp1 = $true )
=> ( ( binintTransitive = $true )
=> ! [X0: $i] :
( ( ( transitiveset @ X0 )
= $true )
=> ! [X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
= $true )
=> ( ( ( in @ X2 @ X1 )
= $true )
=> ( ( in @ X2 @ X0 )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f533]) ).
thf(f1065,plain,
( ? [X0: $i] :
( ? [X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
& ( ( in @ X2 @ X1 )
= $true )
& ( ( in @ X1 @ X0 )
= $true ) )
& ( ( transitiveset @ X0 )
= $true ) )
& ( binintTransitive = $true )
& ( transitivesetOp1 = $true )
& ( peanoSinj = $true )
& ( peano0notS = $true )
& ( omegaSclos = $true )
& ( omegaSp = $true )
& ( notinself2 = $true )
& ( notinself = $true )
& ( foundation2 = $true )
& ( surjCantorThm = $true )
& ( leftInvIsSurj = $true )
& ( surjFuncSetFuncSurj = $true )
& ( surjFuncSetFuncIn = $true )
& ( injFuncSetFuncInj = $true )
& ( injFuncSetFuncIn = $true )
& ( injFuncInInjFuncSet = $true )
& ( image1I = $true )
& ( image1E = $true )
& ( image1Equiv = $true )
& ( image1Ex1 = $true )
& ( image1Ex = $true )
& ( woz2B = $true )
& ( woz2A = $true )
& ( woz2W = $true )
& ( woz2Ex = $true )
& ( breln1unionCommutes = $true )
& ( breln1unionEcases = $true )
& ( breln1unionE = $true )
& ( breln1unionI = $true )
& ( breln1unionIR = $true )
& ( breln1unionIL = $true )
& ( breln1unionprop = $true )
& ( breln1compEex = $true )
& ( breln1compE = $true )
& ( breln1compI = $true )
& ( breln1compprop = $true )
& ( breln1invE = $true )
& ( breln1invI = $true )
& ( breln1invprop = $true )
& ( eqbreln1 = $true )
& ( subbreln1 = $true )
& ( breln1all1 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( choice2fnsingleton = $true )
& ( breln1SetBreln1 = $true )
& ( breln1all2 = $true )
& ( woz1_5 = $true )
& ( woz1_4 = $true )
& ( woz1_3 = $true )
& ( woz1_2 = $true )
& ( woz1_1 = $true )
& ( woz13rule4 = $true )
& ( woz13rule3 = $true )
& ( woz13rule2 = $true )
& ( woz13rule1 = $true )
& ( woz13rule0 = $true )
& ( demorgan2 = $true )
& ( demorgan2b = $true )
& ( demorgan2b2 = $true )
& ( demorgan2a = $true )
& ( demorgan1 = $true )
& ( demorgan1b = $true )
& ( demorgan1a = $true )
& ( demorgan2a2 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( demorgan2a1 = $true )
& ( binunionTEcontra = $true )
& ( binunionTE = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( inIntersectImpInUnion2 = $true )
& ( inIntersectImpInUnion = $true )
& ( binunionTIRcontra = $true )
& ( binunionTILcontra = $true )
& ( complementTcontraSubset = $true )
& ( contraSubsetComplement = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementSubsetComplementIntersect = $true )
& ( complementImpComplementIntersect = $true )
& ( complementTnotintersectT = $true )
& ( doubleComplementEq = $true )
& ( doubleComplementSub2 = $true )
& ( doubleComplementSub1 = $true )
& ( doubleComplementE1 = $true )
& ( doubleComplementI1 = $true )
& ( contrasubsetT3 = $true )
& ( contrasubsetT2 = $true )
& ( contrasubsetT1 = $true )
& ( contrasubsetT = $true )
& ( binintersectTERcontra = $true )
& ( binintersectTELcontra = $true )
& ( complementTE1 = $true )
& ( complementTI1 = $true )
& ( powersetTE1 = $true )
& ( powersetTI1 = $true )
& ( subsetTI = $true )
& ( setextT = $true )
& ( complementT_lem = $true )
& ( setminusT_lem = $true )
& ( powersetT_lem = $true )
& ( binunionT_lem = $true )
& ( binintersectT_lem = $true )
& ( iftrueorfalse = $true )
& ( iffalse = $true )
& ( iftrue = $true )
& ( theeq = $true )
& ( ifp = $true )
& ( ifSingleton = $true )
& ( iftrueProp2 = $true )
& ( iftrueProp1 = $true )
& ( iffalseProp2 = $true )
& ( iffalseProp1 = $true )
& ( eta2 = $true )
& ( beta2 = $true )
& ( lam2lamEq = $true )
& ( eta1 = $true )
& ( beta1 = $true )
& ( ap2apEq2 = $true )
& ( ap2apEq1 = $true )
& ( funcext2 = $true )
& ( funcext = $true )
& ( eqbreln = $true )
& ( subbreln = $true )
& ( funcGraphProp4 = $true )
& ( funcextLem = $true )
& ( funcGraphProp2 = $true )
& ( funcGraphProp3 = $true )
& ( funcGraphProp1 = $true )
& ( ex1E2 = $true )
& ( brelnall2 = $true )
& ( brelnall1 = $true )
& ( lam2p = $true )
& ( lamp = $true )
& ( lamProp = $true )
& ( funcinfuncset = $true )
& ( ap2p = $true )
& ( infuncsetfunc = $true )
& ( app = $true )
& ( apProp = $true )
& ( funcImageSingleton = $true )
& ( dpsetconstrER = $true )
& ( dpsetconstrEL2 = $true )
& ( dpsetconstrEL1 = $true )
& ( dpsetconstrERa = $true )
& ( setOfPairsIsBReln = $true )
& ( dpsetconstrSub = $true )
& ( dpsetconstrI = $true )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f534]) ).
thf(f1066,plain,
( ( setminusELneg = $true )
& ( setextAx = $true )
& ( setminusSubset2 = $true )
& ( binunionIR = $true )
& ( injFuncSetFuncIn = $true )
& ? [X0: $i] :
( ( ( transitiveset @ X0 )
= $true )
& ? [X2: $i,X1: $i] :
( ( ( in @ X1 @ X0 )
= $true )
& ( ( in @ X2 @ X1 )
= $true )
& ( ( in @ X2 @ X0 )
!= $true ) ) )
& ( prop2set2propI = $true )
& ( brelnall2 = $true )
& ( setukpairinjL1 = $true )
& ( powersetI1 = $true )
& ( symdiffIneg1 = $true )
& ( woz1_5 = $true )
& ( doubleComplementSub1 = $true )
& ( subsetTrans = $true )
& ( setextT = $true )
& ( setunionE = $true )
& ( setunion__Cong = $true )
& ( exuI2 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( subPowSU = $true )
& ( sepSubset = $true )
& ( setukpairinjR2 = $true )
& ( binunionTE = $true )
& ( demorgan2a1 = $true )
& ( dsetconstrEL = $true )
& ( binintersectRsub = $true )
& ( ex1I = $true )
& ( powersetTE1 = $true )
& ( binunionE = $true )
& ( exuE1 = $true )
& ( setoftrueEq = $true )
& ( dpsetconstrER = $true )
& ( funcGraphProp2 = $true )
& ( foundation2 = $true )
& ( disjointsetsI1 = $true )
& ( symdiffI1 = $true )
& ( emptysetE = $true )
& ( woz1_1 = $true )
& ( setadjoinSub2 = $true )
& ( setukpairIL = $true )
& ( contrasubsetT1 = $true )
& ( emptyset__Cong = $true )
& ( upairsetE = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( eqimpsubset1 = $true )
& ( nonemptyE1 = $true )
& ( dpsetconstrERa = $true )
& ( notequalI2 = $true )
& ( binintersectSubset5 = $true )
& ( ksndsingleton = $true )
& ( kpairp = $true )
& ( setunionI = $true )
& ( setminusT_lem = $true )
& ( doubleComplementI1 = $true )
& ( notdallE = $true )
& ( powersetAx = $true )
& ( noeltsimpempty = $true )
& ( complementTnotintersectT = $true )
& ( dpsetconstrEL1 = $true )
& ( dsetconstrER = $true )
& ( complementTcontraSubset = $true )
& ( emptyI = $true )
& ( symdiffI2 = $true )
& ( demorgan1b = $true )
& ( image1E = $true )
& ( choice2fnsingleton = $true )
& ( ifp = $true )
& ( breln1compE = $true )
& ( setunionsingleton = $true )
& ( setext = $true )
& ( theprop = $true )
& ( beta2 = $true )
& ( inIntersectImpInUnion = $true )
& ( demorgan2a2 = $true )
& ( symdiffIneg2 = $true )
& ( complementTI1 = $true )
& ( woz2B = $true )
& ( singletoninpowerset = $true )
& ( upairsetIL = $true )
& ( setOfPairsIsBReln = $true )
& ( cartprodpairmemEL = $true )
& ( kpairiskpair = $true )
& ( exuEu = $true )
& ( demorgan2 = $true )
& ( subset2powerset = $true )
& ( exuE3u = $true )
& ( contraSubsetComplement = $true )
& ( binintersectI = $true )
& ( binintersectER = $true )
& ( funcGraphProp4 = $true )
& ( image1I = $true )
& ( ap2p = $true )
& ( setextsub = $true )
& ( apProp = $true )
& ( beta1 = $true )
& ( omega__Cong = $true )
& ( breln1SetBreln1 = $true )
& ( dpsetconstrI = $true )
& ( exuE3e = $true )
& ( setadjoinOr = $true )
& ( singletoninpowunion = $true )
& ( omegaSAx = $true )
& ( funcinfuncset = $true )
& ( cartprodsndpairEq = $true )
& ( funcGraphProp1 = $true )
& ( ubforcartprodlem2 = $true )
& ( lamProp = $true )
& ( cartprodfstin = $true )
& ( eta1 = $true )
& ( setadjoinAx = $true )
& ( notinemptyset = $true )
& ( setunionsingleton1 = $true )
& ( setunionAx = $true )
& ( notsubsetI = $true )
& ( inCongP = $true )
& ( binintersectTELcontra = $true )
& ( surjFuncSetFuncSurj = $true )
& ( image1Ex = $true )
& ( binintTransitive = $true )
& ( brelnall1 = $true )
& ( transitivesetOp1 = $true )
& ( vacuousDall = $true )
& ( eqimpsubset2 = $true )
& ( ksndpairEq = $true )
& ( exuI3 = $true )
& ( doubleComplementE1 = $true )
& ( eqbreln = $true )
& ( iffalseProp2 = $true )
& ( subsetI2 = $true )
& ( cartprodpairin = $true )
& ( setbeta = $true )
& ( subsetRefl = $true )
& ( setukpairinjL2 = $true )
& ( cartprodsndin = $true )
& ( singletonsuniq = $true )
& ( iftrueorfalse = $true )
& ( descrp = $true )
& ( surjFuncSetFuncIn = $true )
& ( setminusIRneg = $true )
& ( binintersectT_lem = $true )
& ( binintersectSubset4 = $true )
& ( secondinupair = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementT_lem = $true )
& ( woz2A = $true )
& ( lamp = $true )
& ( ap2apEq2 = $true )
& ( breln1invprop = $true )
& ( dpsetconstrEL2 = $true )
& ( iftrue = $true )
& ( upairset2E = $true )
& ( binintersectSubset2 = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( binintersectTERcontra = $true )
& ( setunionsingleton2 = $true )
& ( powersetT_lem = $true )
& ( powersetsubset = $true )
& ( omegaIndAx = $true )
& ( woz13rule4 = $true )
& ( dpsetconstrSub = $true )
& ( setadjoinIR = $true )
& ( binunionIL = $true )
& ( ex1E2 = $true )
& ( woz13rule1 = $true )
& ( subsetE = $true )
& ( binunionTILcontra = $true )
& ( woz1_2 = $true )
& ( emptysetimpfalse = $true )
& ( subsetTI = $true )
& ( quantDeMorgan2 = $true )
& ( setukpairinjR1 = $true )
& ( powersetE = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( binintersectSubset1 = $true )
& ( iftrueProp2 = $true )
& ( subsetE2 = $true )
& ( binunionRsub = $true )
& ( upairsetIR = $true )
& ( cartprodmempair1 = $true )
& ( injFuncInInjFuncSet = $true )
& ( breln1unionEcases = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( nonemptyImpWitness = $true )
& ( setminusER = $true )
& ( contrasubsetT = $true )
& ( inPowerset = $true )
& ( funcGraphProp3 = $true )
& ( omegaSp = $true )
& ( ex1E1 = $true )
& ( emptyInPowerset = $true )
& ( inIntersectImpInUnion2 = $true )
& ( woz1_3 = $true )
& ( breln1unionE = $true )
& ( setukpairinjR12 = $true )
& ( exuE2 = $true )
& ( foundationAx = $true )
& ( breln1unionprop = $true )
& ( binintersectSubset3 = $true )
& ( in__Cong = $true )
& ( demorgan2b = $true )
& ( omega0Ax = $true )
& ( quantDeMorgan3 = $true )
& ( subsetI1 = $true )
& ( binunionTEcontra = $true )
& ( demorgan2a = $true )
& ( setadjoinSub = $true )
& ( setadjoinIL = $true )
& ( peanoSinj = $true )
& ( upairset2IR = $true )
& ( demorgan1a = $true )
& ( cartprodmempair = $true )
& ( notinsingleton = $true )
& ( setminusSubset1 = $true )
& ( sepInPowerset = $true )
& ( setminusERneg = $true )
& ( setadjoinE = $true )
& ( singletonsswitch = $true )
& ( infuncsetfunc = $true )
& ( breln1invI = $true )
& ( bs114d = $true )
& ( setukpairinjR = $true )
& ( kpairsurjEq = $true )
& ( lam2p = $true )
& ( ifSingleton = $true )
& ( dsetconstr__Cong = $true )
& ( exu__Cong = $true )
& ( emptysetAx = $true )
& ( complementTE1 = $true )
& ( binunionTIRcontra = $true )
& ( notinself = $true )
& ( setunionE2 = $true )
& ( funcImageSingleton = $true )
& ( binintersectEL = $true )
& ( prop2setI = $true )
& ( emptyinunitempty = $true )
& ( notinself2 = $true )
& ( iffalse = $true )
& ( breln1unionIR = $true )
& ( cartprodfstpairEq = $true )
& ( leftInvIsSurj = $true )
& ( breln1compEex = $true )
& ( setminusLsub = $true )
& ( eqbreln1 = $true )
& ( setukpairinjR11 = $true )
& ( breln1invE = $true )
& ( subsetemptysetimpeq = $true )
& ( ap2apEq1 = $true )
& ( dsetconstrI = $true )
& ( setminusILneg = $true )
& ( uniqinunit = $true )
& ( cartprodpairsurjEq = $true )
& ( binunionEcases = $true )
& ( breln1unionI = $true )
& ( binunionT_lem = $true )
& ( ex1I2 = $true )
& ( nonemptyI = $true )
& ( breln1all2 = $true )
& ( demorgan1 = $true )
& ( singletonprop = $true )
& ( breln1unionIL = $true )
& ( kfstsingleton = $true )
& ( funcextLem = $true )
& ( upairinpowunion = $true )
& ( binunionLsub = $true )
& ( doubleComplementEq = $true )
& ( complementImpComplementIntersect = $true )
& ( notequalI1 = $true )
& ( demorgan2b2 = $true )
& ( nonemptyI1 = $true )
& ( powersetTI1 = $true )
& ( quantDeMorgan4 = $true )
& ( image1Equiv = $true )
& ( emptysetsubset = $true )
& ( cartprodmempaircEq = $true )
& ( breln1all1 = $true )
& ( contrasubsetT3 = $true )
& ( woz13rule3 = $true )
& ( breln1unionCommutes = $true )
& ( kfstpairEq = $true )
& ( woz13rule0 = $true )
& ( eqinunit = $true )
& ( powerset__Cong = $true )
& ( injFuncSetFuncInj = $true )
& ( lam2lamEq = $true )
& ( setminusI = $true )
& ( upairsubunion = $true )
& ( surjCantorThm = $true )
& ( prop2setE = $true )
& ( setadjoin__Cong = $true )
& ( woz1_4 = $true )
& ( replAx = $true )
& ( breln1compprop = $true )
& ( binintersectLsub = $true )
& ( doubleComplementSub2 = $true )
& ( peano0notS = $true )
& ( app = $true )
& ( contrasubsetT2 = $true )
& ( subbreln1 = $true )
& ( emptyinPowerset = $true )
& ( symdiffE = $true )
& ( theeq = $true )
& ( powersetE1 = $true )
& ( eta2 = $true )
& ( woz2W = $true )
& ( woz2Ex = $true )
& ( powersetI = $true )
& ( setukpairinjL = $true )
& ( cartprodpairmemER = $true )
& ( setukpairIR = $true )
& ( ubforcartprodlem1 = $true )
& ( iffalseProp1 = $true )
& ( iftrueProp1 = $true )
& ( woz13rule2 = $true )
& ( funcext = $true )
& ( singletonsubset = $true )
& ( upairequniteq = $true )
& ( subbreln = $true )
& ( emptyE1 = $true )
& ( setminusEL = $true )
& ( funcext2 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( omegaSclos = $true )
& ( image1Ex1 = $true )
& ( ubforcartprodlem3 = $true )
& ( wellorderingAx = $true )
& ( exuI1 = $true )
& ( notdexE = $true )
& ( quantDeMorgan1 = $true )
& ( breln1compI = $true )
& ( complementSubsetComplementIntersect = $true )
& ( descr__Cong = $true ) ),
inference(flattening,[],[f1065]) ).
thf(f1156,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ X2 )
= $true )
| ( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
!= $true ) )
<=> ( binintersectEL = $true ) ),
inference(ennf_transformation,[],[f455]) ).
thf(f1177,plain,
( ! [X0: $i,X1: $i] :
( ( ( binintersect @ X1 @ X0 )
= X0 )
| ( ( subset @ X0 @ X1 )
!= $true ) )
<=> ( binintersectSubset4 = $true ) ),
inference(ennf_transformation,[],[f401]) ).
thf(f1277,plain,
( ( transitivesetOp1 = $true )
<=> ! [X0: $i] :
( ( ( transitiveset @ X0 )
!= $true )
| ! [X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( ( in @ X1 @ X0 )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f363]) ).
thf(f1749,plain,
( ( ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ X2 )
= $true )
| ( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
!= $true ) )
| ( binintersectEL != $true ) )
& ( ( binintersectEL = $true )
| ? [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
& ( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
= $true ) ) ) ),
inference(nnf_transformation,[],[f1156]) ).
thf(f1750,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
= $true )
| ( $true
!= ( in @ X1 @ ( binintersect @ X0 @ X2 ) ) ) )
| ( binintersectEL != $true ) )
& ( ( binintersectEL = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X3 )
!= $true )
& ( ( in @ X4 @ ( binintersect @ X3 @ X5 ) )
= $true ) ) ) ),
inference(rectify,[],[f1749]) ).
thf(f1751,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
= $true )
| ( $true
!= ( in @ X1 @ ( binintersect @ X0 @ X2 ) ) ) )
| ( binintersectEL != $true ) )
& ( ( binintersectEL = $true )
| ( ( ( in @ sK329 @ sK328 )
!= $true )
& ( ( in @ sK329 @ ( binintersect @ sK328 @ sK330 ) )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK328,sK329,sK330]),skolemize(X3,sK328),skolemize(X4,sK329),skolemize(X5,sK330)],[f1750]) ).
thf(f1785,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( binintersect @ X1 @ X0 )
= X0 )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( binintersectSubset4 != $true ) )
& ( ( binintersectSubset4 = $true )
| ? [X0: $i,X1: $i] :
( ( ( binintersect @ X1 @ X0 )
!= X0 )
& ( ( subset @ X0 @ X1 )
= $true ) ) ) ),
inference(nnf_transformation,[],[f1177]) ).
thf(f1786,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( binintersect @ X1 @ X0 )
= X0 )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( binintersectSubset4 != $true ) )
& ( ( binintersectSubset4 = $true )
| ? [X2: $i,X3: $i] :
( ( ( binintersect @ X3 @ X2 )
!= X2 )
& ( ( subset @ X2 @ X3 )
= $true ) ) ) ),
inference(rectify,[],[f1785]) ).
thf(f1787,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( binintersect @ X1 @ X0 )
= X0 )
| ( ( subset @ X0 @ X1 )
!= $true ) )
| ( binintersectSubset4 != $true ) )
& ( ( binintersectSubset4 = $true )
| ( ( sK367
!= ( binintersect @ sK368 @ sK367 ) )
& ( ( subset @ sK367 @ sK368 )
= $true ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK367,sK368]),skolemize(X2,sK367),skolemize(X3,sK368)],[f1786]) ).
thf(f1866,plain,
( ( ( transitivesetOp1 = $true )
| ? [X0: $i] :
( ( ( transitiveset @ X0 )
= $true )
& ? [X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
& ( ( in @ X1 @ X0 )
= $true ) ) ) )
& ( ! [X0: $i] :
( ( ( transitiveset @ X0 )
!= $true )
| ! [X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( ( in @ X1 @ X0 )
!= $true ) ) )
| ( transitivesetOp1 != $true ) ) ),
inference(nnf_transformation,[],[f1277]) ).
thf(f1867,plain,
( ( ( transitivesetOp1 = $true )
| ? [X0: $i] :
( ( ( transitiveset @ X0 )
= $true )
& ? [X1: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
& ( ( in @ X1 @ X0 )
= $true ) ) ) )
& ( ! [X2: $i] :
( ( ( transitiveset @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( subset @ X3 @ X2 )
= $true )
| ( ( in @ X3 @ X2 )
!= $true ) ) )
| ( transitivesetOp1 != $true ) ) ),
inference(rectify,[],[f1866]) ).
thf(f1868,plain,
( ( ( transitivesetOp1 = $true )
| ( ( ( transitiveset @ sK452 )
= $true )
& ( ( subset @ sK453 @ sK452 )
!= $true )
& ( ( in @ sK453 @ sK452 )
= $true ) ) )
& ( ! [X2: $i] :
( ( ( transitiveset @ X2 )
!= $true )
| ! [X3: $i] :
( ( ( subset @ X3 @ X2 )
= $true )
| ( ( in @ X3 @ X2 )
!= $true ) ) )
| ( transitivesetOp1 != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK452,sK453]),skolemize(X0,sK452),skolemize(X1,sK453)],[f1867]) ).
thf(f2216,plain,
( ( setminusELneg = $true )
& ( setextAx = $true )
& ( setminusSubset2 = $true )
& ( binunionIR = $true )
& ( injFuncSetFuncIn = $true )
& ? [X0: $i] :
( ( ( transitiveset @ X0 )
= $true )
& ? [X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
& ( ( in @ X1 @ X2 )
= $true )
& ( ( in @ X1 @ X0 )
!= $true ) ) )
& ( prop2set2propI = $true )
& ( brelnall2 = $true )
& ( setukpairinjL1 = $true )
& ( powersetI1 = $true )
& ( symdiffIneg1 = $true )
& ( woz1_5 = $true )
& ( doubleComplementSub1 = $true )
& ( subsetTrans = $true )
& ( setextT = $true )
& ( setunionE = $true )
& ( setunion__Cong = $true )
& ( exuI2 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( subPowSU = $true )
& ( sepSubset = $true )
& ( setukpairinjR2 = $true )
& ( binunionTE = $true )
& ( demorgan2a1 = $true )
& ( dsetconstrEL = $true )
& ( binintersectRsub = $true )
& ( ex1I = $true )
& ( powersetTE1 = $true )
& ( binunionE = $true )
& ( exuE1 = $true )
& ( setoftrueEq = $true )
& ( dpsetconstrER = $true )
& ( funcGraphProp2 = $true )
& ( foundation2 = $true )
& ( disjointsetsI1 = $true )
& ( symdiffI1 = $true )
& ( emptysetE = $true )
& ( woz1_1 = $true )
& ( setadjoinSub2 = $true )
& ( setukpairIL = $true )
& ( contrasubsetT1 = $true )
& ( emptyset__Cong = $true )
& ( upairsetE = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( eqimpsubset1 = $true )
& ( nonemptyE1 = $true )
& ( dpsetconstrERa = $true )
& ( notequalI2 = $true )
& ( binintersectSubset5 = $true )
& ( ksndsingleton = $true )
& ( kpairp = $true )
& ( setunionI = $true )
& ( setminusT_lem = $true )
& ( doubleComplementI1 = $true )
& ( notdallE = $true )
& ( powersetAx = $true )
& ( noeltsimpempty = $true )
& ( complementTnotintersectT = $true )
& ( dpsetconstrEL1 = $true )
& ( dsetconstrER = $true )
& ( complementTcontraSubset = $true )
& ( emptyI = $true )
& ( symdiffI2 = $true )
& ( demorgan1b = $true )
& ( image1E = $true )
& ( choice2fnsingleton = $true )
& ( ifp = $true )
& ( breln1compE = $true )
& ( setunionsingleton = $true )
& ( setext = $true )
& ( theprop = $true )
& ( beta2 = $true )
& ( inIntersectImpInUnion = $true )
& ( demorgan2a2 = $true )
& ( symdiffIneg2 = $true )
& ( complementTI1 = $true )
& ( woz2B = $true )
& ( singletoninpowerset = $true )
& ( upairsetIL = $true )
& ( setOfPairsIsBReln = $true )
& ( cartprodpairmemEL = $true )
& ( kpairiskpair = $true )
& ( exuEu = $true )
& ( demorgan2 = $true )
& ( subset2powerset = $true )
& ( exuE3u = $true )
& ( contraSubsetComplement = $true )
& ( binintersectI = $true )
& ( binintersectER = $true )
& ( funcGraphProp4 = $true )
& ( image1I = $true )
& ( ap2p = $true )
& ( setextsub = $true )
& ( apProp = $true )
& ( beta1 = $true )
& ( omega__Cong = $true )
& ( breln1SetBreln1 = $true )
& ( dpsetconstrI = $true )
& ( exuE3e = $true )
& ( setadjoinOr = $true )
& ( singletoninpowunion = $true )
& ( omegaSAx = $true )
& ( funcinfuncset = $true )
& ( cartprodsndpairEq = $true )
& ( funcGraphProp1 = $true )
& ( ubforcartprodlem2 = $true )
& ( lamProp = $true )
& ( cartprodfstin = $true )
& ( eta1 = $true )
& ( setadjoinAx = $true )
& ( notinemptyset = $true )
& ( setunionsingleton1 = $true )
& ( setunionAx = $true )
& ( notsubsetI = $true )
& ( inCongP = $true )
& ( binintersectTELcontra = $true )
& ( surjFuncSetFuncSurj = $true )
& ( image1Ex = $true )
& ( binintTransitive = $true )
& ( brelnall1 = $true )
& ( transitivesetOp1 = $true )
& ( vacuousDall = $true )
& ( eqimpsubset2 = $true )
& ( ksndpairEq = $true )
& ( exuI3 = $true )
& ( doubleComplementE1 = $true )
& ( eqbreln = $true )
& ( iffalseProp2 = $true )
& ( subsetI2 = $true )
& ( cartprodpairin = $true )
& ( setbeta = $true )
& ( subsetRefl = $true )
& ( setukpairinjL2 = $true )
& ( cartprodsndin = $true )
& ( singletonsuniq = $true )
& ( iftrueorfalse = $true )
& ( descrp = $true )
& ( surjFuncSetFuncIn = $true )
& ( setminusIRneg = $true )
& ( binintersectT_lem = $true )
& ( binintersectSubset4 = $true )
& ( secondinupair = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementT_lem = $true )
& ( woz2A = $true )
& ( lamp = $true )
& ( ap2apEq2 = $true )
& ( breln1invprop = $true )
& ( dpsetconstrEL2 = $true )
& ( iftrue = $true )
& ( upairset2E = $true )
& ( binintersectSubset2 = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( binintersectTERcontra = $true )
& ( setunionsingleton2 = $true )
& ( powersetT_lem = $true )
& ( powersetsubset = $true )
& ( omegaIndAx = $true )
& ( woz13rule4 = $true )
& ( dpsetconstrSub = $true )
& ( setadjoinIR = $true )
& ( binunionIL = $true )
& ( ex1E2 = $true )
& ( woz13rule1 = $true )
& ( subsetE = $true )
& ( binunionTILcontra = $true )
& ( woz1_2 = $true )
& ( emptysetimpfalse = $true )
& ( subsetTI = $true )
& ( quantDeMorgan2 = $true )
& ( setukpairinjR1 = $true )
& ( powersetE = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( binintersectSubset1 = $true )
& ( iftrueProp2 = $true )
& ( subsetE2 = $true )
& ( binunionRsub = $true )
& ( upairsetIR = $true )
& ( cartprodmempair1 = $true )
& ( injFuncInInjFuncSet = $true )
& ( breln1unionEcases = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( nonemptyImpWitness = $true )
& ( setminusER = $true )
& ( contrasubsetT = $true )
& ( inPowerset = $true )
& ( funcGraphProp3 = $true )
& ( omegaSp = $true )
& ( ex1E1 = $true )
& ( emptyInPowerset = $true )
& ( inIntersectImpInUnion2 = $true )
& ( woz1_3 = $true )
& ( breln1unionE = $true )
& ( setukpairinjR12 = $true )
& ( exuE2 = $true )
& ( foundationAx = $true )
& ( breln1unionprop = $true )
& ( binintersectSubset3 = $true )
& ( in__Cong = $true )
& ( demorgan2b = $true )
& ( omega0Ax = $true )
& ( quantDeMorgan3 = $true )
& ( subsetI1 = $true )
& ( binunionTEcontra = $true )
& ( demorgan2a = $true )
& ( setadjoinSub = $true )
& ( setadjoinIL = $true )
& ( peanoSinj = $true )
& ( upairset2IR = $true )
& ( demorgan1a = $true )
& ( cartprodmempair = $true )
& ( notinsingleton = $true )
& ( setminusSubset1 = $true )
& ( sepInPowerset = $true )
& ( setminusERneg = $true )
& ( setadjoinE = $true )
& ( singletonsswitch = $true )
& ( infuncsetfunc = $true )
& ( breln1invI = $true )
& ( bs114d = $true )
& ( setukpairinjR = $true )
& ( kpairsurjEq = $true )
& ( lam2p = $true )
& ( ifSingleton = $true )
& ( dsetconstr__Cong = $true )
& ( exu__Cong = $true )
& ( emptysetAx = $true )
& ( complementTE1 = $true )
& ( binunionTIRcontra = $true )
& ( notinself = $true )
& ( setunionE2 = $true )
& ( funcImageSingleton = $true )
& ( binintersectEL = $true )
& ( prop2setI = $true )
& ( emptyinunitempty = $true )
& ( notinself2 = $true )
& ( iffalse = $true )
& ( breln1unionIR = $true )
& ( cartprodfstpairEq = $true )
& ( leftInvIsSurj = $true )
& ( breln1compEex = $true )
& ( setminusLsub = $true )
& ( eqbreln1 = $true )
& ( setukpairinjR11 = $true )
& ( breln1invE = $true )
& ( subsetemptysetimpeq = $true )
& ( ap2apEq1 = $true )
& ( dsetconstrI = $true )
& ( setminusILneg = $true )
& ( uniqinunit = $true )
& ( cartprodpairsurjEq = $true )
& ( binunionEcases = $true )
& ( breln1unionI = $true )
& ( binunionT_lem = $true )
& ( ex1I2 = $true )
& ( nonemptyI = $true )
& ( breln1all2 = $true )
& ( demorgan1 = $true )
& ( singletonprop = $true )
& ( breln1unionIL = $true )
& ( kfstsingleton = $true )
& ( funcextLem = $true )
& ( upairinpowunion = $true )
& ( binunionLsub = $true )
& ( doubleComplementEq = $true )
& ( complementImpComplementIntersect = $true )
& ( notequalI1 = $true )
& ( demorgan2b2 = $true )
& ( nonemptyI1 = $true )
& ( powersetTI1 = $true )
& ( quantDeMorgan4 = $true )
& ( image1Equiv = $true )
& ( emptysetsubset = $true )
& ( cartprodmempaircEq = $true )
& ( breln1all1 = $true )
& ( contrasubsetT3 = $true )
& ( woz13rule3 = $true )
& ( breln1unionCommutes = $true )
& ( kfstpairEq = $true )
& ( woz13rule0 = $true )
& ( eqinunit = $true )
& ( powerset__Cong = $true )
& ( injFuncSetFuncInj = $true )
& ( lam2lamEq = $true )
& ( setminusI = $true )
& ( upairsubunion = $true )
& ( surjCantorThm = $true )
& ( prop2setE = $true )
& ( setadjoin__Cong = $true )
& ( woz1_4 = $true )
& ( replAx = $true )
& ( breln1compprop = $true )
& ( binintersectLsub = $true )
& ( doubleComplementSub2 = $true )
& ( peano0notS = $true )
& ( app = $true )
& ( contrasubsetT2 = $true )
& ( subbreln1 = $true )
& ( emptyinPowerset = $true )
& ( symdiffE = $true )
& ( theeq = $true )
& ( powersetE1 = $true )
& ( eta2 = $true )
& ( woz2W = $true )
& ( woz2Ex = $true )
& ( powersetI = $true )
& ( setukpairinjL = $true )
& ( cartprodpairmemER = $true )
& ( setukpairIR = $true )
& ( ubforcartprodlem1 = $true )
& ( iffalseProp1 = $true )
& ( iftrueProp1 = $true )
& ( woz13rule2 = $true )
& ( funcext = $true )
& ( singletonsubset = $true )
& ( upairequniteq = $true )
& ( subbreln = $true )
& ( emptyE1 = $true )
& ( setminusEL = $true )
& ( funcext2 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( omegaSclos = $true )
& ( image1Ex1 = $true )
& ( ubforcartprodlem3 = $true )
& ( wellorderingAx = $true )
& ( exuI1 = $true )
& ( notdexE = $true )
& ( quantDeMorgan1 = $true )
& ( breln1compI = $true )
& ( complementSubsetComplementIntersect = $true )
& ( descr__Cong = $true ) ),
inference(rectify,[],[f1066]) ).
thf(f2217,plain,
( ( setminusELneg = $true )
& ( setextAx = $true )
& ( setminusSubset2 = $true )
& ( binunionIR = $true )
& ( injFuncSetFuncIn = $true )
& ( ( transitiveset @ sK824 )
= $true )
& ( ( in @ sK826 @ sK824 )
= $true )
& ( ( in @ sK825 @ sK826 )
= $true )
& ( ( in @ sK825 @ sK824 )
!= $true )
& ( prop2set2propI = $true )
& ( brelnall2 = $true )
& ( setukpairinjL1 = $true )
& ( powersetI1 = $true )
& ( symdiffIneg1 = $true )
& ( woz1_5 = $true )
& ( doubleComplementSub1 = $true )
& ( subsetTrans = $true )
& ( setextT = $true )
& ( setunionE = $true )
& ( setunion__Cong = $true )
& ( exuI2 = $true )
& ( setOfPairsIsBReln1 = $true )
& ( subPowSU = $true )
& ( sepSubset = $true )
& ( setukpairinjR2 = $true )
& ( binunionTE = $true )
& ( demorgan2a1 = $true )
& ( dsetconstrEL = $true )
& ( binintersectRsub = $true )
& ( ex1I = $true )
& ( powersetTE1 = $true )
& ( binunionE = $true )
& ( exuE1 = $true )
& ( setoftrueEq = $true )
& ( dpsetconstrER = $true )
& ( funcGraphProp2 = $true )
& ( foundation2 = $true )
& ( disjointsetsI1 = $true )
& ( symdiffI1 = $true )
& ( emptysetE = $true )
& ( woz1_1 = $true )
& ( setadjoinSub2 = $true )
& ( setukpairIL = $true )
& ( contrasubsetT1 = $true )
& ( emptyset__Cong = $true )
& ( upairsetE = $true )
& ( inIntersectImpInIntersectUnions = $true )
& ( eqimpsubset1 = $true )
& ( nonemptyE1 = $true )
& ( dpsetconstrERa = $true )
& ( notequalI2 = $true )
& ( binintersectSubset5 = $true )
& ( ksndsingleton = $true )
& ( kpairp = $true )
& ( setunionI = $true )
& ( setminusT_lem = $true )
& ( doubleComplementI1 = $true )
& ( notdallE = $true )
& ( powersetAx = $true )
& ( noeltsimpempty = $true )
& ( complementTnotintersectT = $true )
& ( dpsetconstrEL1 = $true )
& ( dsetconstrER = $true )
& ( complementTcontraSubset = $true )
& ( emptyI = $true )
& ( symdiffI2 = $true )
& ( demorgan1b = $true )
& ( image1E = $true )
& ( choice2fnsingleton = $true )
& ( ifp = $true )
& ( breln1compE = $true )
& ( setunionsingleton = $true )
& ( setext = $true )
& ( theprop = $true )
& ( beta2 = $true )
& ( inIntersectImpInUnion = $true )
& ( demorgan2a2 = $true )
& ( symdiffIneg2 = $true )
& ( complementTI1 = $true )
& ( woz2B = $true )
& ( singletoninpowerset = $true )
& ( upairsetIL = $true )
& ( setOfPairsIsBReln = $true )
& ( cartprodpairmemEL = $true )
& ( kpairiskpair = $true )
& ( exuEu = $true )
& ( demorgan2 = $true )
& ( subset2powerset = $true )
& ( exuE3u = $true )
& ( contraSubsetComplement = $true )
& ( binintersectI = $true )
& ( binintersectER = $true )
& ( funcGraphProp4 = $true )
& ( image1I = $true )
& ( ap2p = $true )
& ( setextsub = $true )
& ( apProp = $true )
& ( beta1 = $true )
& ( omega__Cong = $true )
& ( breln1SetBreln1 = $true )
& ( dpsetconstrI = $true )
& ( exuE3e = $true )
& ( setadjoinOr = $true )
& ( singletoninpowunion = $true )
& ( omegaSAx = $true )
& ( funcinfuncset = $true )
& ( cartprodsndpairEq = $true )
& ( funcGraphProp1 = $true )
& ( ubforcartprodlem2 = $true )
& ( lamProp = $true )
& ( cartprodfstin = $true )
& ( eta1 = $true )
& ( setadjoinAx = $true )
& ( notinemptyset = $true )
& ( setunionsingleton1 = $true )
& ( setunionAx = $true )
& ( notsubsetI = $true )
& ( inCongP = $true )
& ( binintersectTELcontra = $true )
& ( surjFuncSetFuncSurj = $true )
& ( image1Ex = $true )
& ( binintTransitive = $true )
& ( brelnall1 = $true )
& ( transitivesetOp1 = $true )
& ( vacuousDall = $true )
& ( eqimpsubset2 = $true )
& ( ksndpairEq = $true )
& ( exuI3 = $true )
& ( doubleComplementE1 = $true )
& ( eqbreln = $true )
& ( iffalseProp2 = $true )
& ( subsetI2 = $true )
& ( cartprodpairin = $true )
& ( setbeta = $true )
& ( subsetRefl = $true )
& ( setukpairinjL2 = $true )
& ( cartprodsndin = $true )
& ( singletonsuniq = $true )
& ( iftrueorfalse = $true )
& ( descrp = $true )
& ( surjFuncSetFuncIn = $true )
& ( setminusIRneg = $true )
& ( binintersectT_lem = $true )
& ( binintersectSubset4 = $true )
& ( secondinupair = $true )
& ( complementInPowersetComplementIntersect = $true )
& ( complementT_lem = $true )
& ( woz2A = $true )
& ( lamp = $true )
& ( ap2apEq2 = $true )
& ( breln1invprop = $true )
& ( dpsetconstrEL2 = $true )
& ( iftrue = $true )
& ( upairset2E = $true )
& ( binintersectSubset2 = $true )
& ( inComplementUnionImpInComplement1 = $true )
& ( binintersectTERcontra = $true )
& ( setunionsingleton2 = $true )
& ( powersetT_lem = $true )
& ( powersetsubset = $true )
& ( omegaIndAx = $true )
& ( woz13rule4 = $true )
& ( dpsetconstrSub = $true )
& ( setadjoinIR = $true )
& ( binunionIL = $true )
& ( ex1E2 = $true )
& ( woz13rule1 = $true )
& ( subsetE = $true )
& ( binunionTILcontra = $true )
& ( woz1_2 = $true )
& ( emptysetimpfalse = $true )
& ( subsetTI = $true )
& ( quantDeMorgan2 = $true )
& ( setukpairinjR1 = $true )
& ( powersetE = $true )
& ( intersectInPowersetIntersectUnions = $true )
& ( binintersectSubset1 = $true )
& ( iftrueProp2 = $true )
& ( subsetE2 = $true )
& ( binunionRsub = $true )
& ( upairsetIR = $true )
& ( cartprodmempair1 = $true )
& ( injFuncInInjFuncSet = $true )
& ( breln1unionEcases = $true )
& ( inComplementUnionImpNotIn1 = $true )
& ( nonemptyImpWitness = $true )
& ( setminusER = $true )
& ( contrasubsetT = $true )
& ( inPowerset = $true )
& ( funcGraphProp3 = $true )
& ( omegaSp = $true )
& ( ex1E1 = $true )
& ( emptyInPowerset = $true )
& ( inIntersectImpInUnion2 = $true )
& ( woz1_3 = $true )
& ( breln1unionE = $true )
& ( setukpairinjR12 = $true )
& ( exuE2 = $true )
& ( foundationAx = $true )
& ( breln1unionprop = $true )
& ( binintersectSubset3 = $true )
& ( in__Cong = $true )
& ( demorgan2b = $true )
& ( omega0Ax = $true )
& ( quantDeMorgan3 = $true )
& ( subsetI1 = $true )
& ( binunionTEcontra = $true )
& ( demorgan2a = $true )
& ( setadjoinSub = $true )
& ( setadjoinIL = $true )
& ( peanoSinj = $true )
& ( upairset2IR = $true )
& ( demorgan1a = $true )
& ( cartprodmempair = $true )
& ( notinsingleton = $true )
& ( setminusSubset1 = $true )
& ( sepInPowerset = $true )
& ( setminusERneg = $true )
& ( setadjoinE = $true )
& ( singletonsswitch = $true )
& ( infuncsetfunc = $true )
& ( breln1invI = $true )
& ( bs114d = $true )
& ( setukpairinjR = $true )
& ( kpairsurjEq = $true )
& ( lam2p = $true )
& ( ifSingleton = $true )
& ( dsetconstr__Cong = $true )
& ( exu__Cong = $true )
& ( emptysetAx = $true )
& ( complementTE1 = $true )
& ( binunionTIRcontra = $true )
& ( notinself = $true )
& ( setunionE2 = $true )
& ( funcImageSingleton = $true )
& ( binintersectEL = $true )
& ( prop2setI = $true )
& ( emptyinunitempty = $true )
& ( notinself2 = $true )
& ( iffalse = $true )
& ( breln1unionIR = $true )
& ( cartprodfstpairEq = $true )
& ( leftInvIsSurj = $true )
& ( breln1compEex = $true )
& ( setminusLsub = $true )
& ( eqbreln1 = $true )
& ( setukpairinjR11 = $true )
& ( breln1invE = $true )
& ( subsetemptysetimpeq = $true )
& ( ap2apEq1 = $true )
& ( dsetconstrI = $true )
& ( setminusILneg = $true )
& ( uniqinunit = $true )
& ( cartprodpairsurjEq = $true )
& ( binunionEcases = $true )
& ( breln1unionI = $true )
& ( binunionT_lem = $true )
& ( ex1I2 = $true )
& ( nonemptyI = $true )
& ( breln1all2 = $true )
& ( demorgan1 = $true )
& ( singletonprop = $true )
& ( breln1unionIL = $true )
& ( kfstsingleton = $true )
& ( funcextLem = $true )
& ( upairinpowunion = $true )
& ( binunionLsub = $true )
& ( doubleComplementEq = $true )
& ( complementImpComplementIntersect = $true )
& ( notequalI1 = $true )
& ( demorgan2b2 = $true )
& ( nonemptyI1 = $true )
& ( powersetTI1 = $true )
& ( quantDeMorgan4 = $true )
& ( image1Equiv = $true )
& ( emptysetsubset = $true )
& ( cartprodmempaircEq = $true )
& ( breln1all1 = $true )
& ( contrasubsetT3 = $true )
& ( woz13rule3 = $true )
& ( breln1unionCommutes = $true )
& ( kfstpairEq = $true )
& ( woz13rule0 = $true )
& ( eqinunit = $true )
& ( powerset__Cong = $true )
& ( injFuncSetFuncInj = $true )
& ( lam2lamEq = $true )
& ( setminusI = $true )
& ( upairsubunion = $true )
& ( surjCantorThm = $true )
& ( prop2setE = $true )
& ( setadjoin__Cong = $true )
& ( woz1_4 = $true )
& ( replAx = $true )
& ( breln1compprop = $true )
& ( binintersectLsub = $true )
& ( doubleComplementSub2 = $true )
& ( peano0notS = $true )
& ( app = $true )
& ( contrasubsetT2 = $true )
& ( subbreln1 = $true )
& ( emptyinPowerset = $true )
& ( symdiffE = $true )
& ( theeq = $true )
& ( powersetE1 = $true )
& ( eta2 = $true )
& ( woz2W = $true )
& ( woz2Ex = $true )
& ( powersetI = $true )
& ( setukpairinjL = $true )
& ( cartprodpairmemER = $true )
& ( setukpairIR = $true )
& ( ubforcartprodlem1 = $true )
& ( iffalseProp1 = $true )
& ( iftrueProp1 = $true )
& ( woz13rule2 = $true )
& ( funcext = $true )
& ( singletonsubset = $true )
& ( upairequniteq = $true )
& ( subbreln = $true )
& ( emptyE1 = $true )
& ( setminusEL = $true )
& ( funcext2 = $true )
& ( complementUnionInPowersetComplement = $true )
& ( omegaSclos = $true )
& ( image1Ex1 = $true )
& ( ubforcartprodlem3 = $true )
& ( wellorderingAx = $true )
& ( exuI1 = $true )
& ( notdexE = $true )
& ( quantDeMorgan1 = $true )
& ( breln1compI = $true )
& ( complementSubsetComplementIntersect = $true )
& ( descr__Cong = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK824,sK825,sK826]),skolemize(X0,sK824),skolemize(X1,sK825),skolemize(X2,sK826)],[f2216]) ).
thf(f2885,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X1 @ X0 )
= $true )
| ( $true
!= ( in @ X1 @ ( binintersect @ X0 @ X2 ) ) )
| ( binintersectEL != $true ) ),
inference(cnf_transformation,[],[f1751]) ).
thf(f2943,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( binintersectSubset4 != $true )
| ( ( binintersect @ X1 @ X0 )
= X0 ) ),
inference(cnf_transformation,[],[f1787]) ).
thf(f3057,plain,
! [X2: $i,X3: $i] :
( ( transitivesetOp1 != $true )
| ( ( transitiveset @ X2 )
!= $true )
| ( ( in @ X3 @ X2 )
!= $true )
| ( ( subset @ X3 @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f1868]) ).
thf(f3667,plain,
binintersectEL = $true,
inference(cnf_transformation,[],[f2217]) ).
thf(f3759,plain,
binintersectSubset4 = $true,
inference(cnf_transformation,[],[f2217]) ).
thf(f3779,plain,
transitivesetOp1 = $true,
inference(cnf_transformation,[],[f2217]) ).
thf(f3894,plain,
( ( in @ sK825 @ sK824 )
!= $true ),
inference(cnf_transformation,[],[f2217]) ).
thf(f3895,plain,
( ( in @ sK825 @ sK826 )
= $true ),
inference(cnf_transformation,[],[f2217]) ).
thf(f3896,plain,
( ( in @ sK826 @ sK824 )
= $true ),
inference(cnf_transformation,[],[f2217]) ).
thf(f3897,plain,
( ( transitiveset @ sK824 )
= $true ),
inference(cnf_transformation,[],[f2217]) ).
thf(f5908,definition,
( spl1085_312
<=> ( binintersectSubset4 = $true ) ),
introduced(definition,[new_symbols(definition,[spl1085_312])],[avatar_definition]) ).
thf(f5922,definition,
( spl1085_315
<=> ( binintersectEL = $true ) ),
introduced(definition,[new_symbols(definition,[spl1085_315])],[avatar_definition]) ).
thf(f7000,definition,
( spl1085_555
<=> ( transitivesetOp1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl1085_555])],[avatar_definition]) ).
thf(f7003,plain,
spl1085_555,
inference(avatar_split_clause,[],[f3779,f7000]) ).
thf(f7270,definition,
( spl1085_612
<=> ! [X2: $i,X3: $i] :
( ( ( transitiveset @ X2 )
!= $true )
| ( ( subset @ X3 @ X2 )
= $true )
| ( ( in @ X3 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl1085_612])],[avatar_definition]) ).
thf(f7271,plain,
( ! [X2: $i,X3: $i] :
( ( ( transitiveset @ X2 )
!= $true )
| ( ( in @ X3 @ X2 )
!= $true )
| ( ( subset @ X3 @ X2 )
= $true ) )
| ~ spl1085_612 ),
inference(avatar_component_clause,[],[f7270]) ).
thf(f7272,plain,
( spl1085_612
| ~ spl1085_555 ),
inference(avatar_split_clause,[],[f3057,f7000,f7270]) ).
thf(f7363,definition,
( spl1085_632
<=> ( ( in @ sK826 @ sK824 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1085_632])],[avatar_definition]) ).
thf(f7365,plain,
( ( ( in @ sK826 @ sK824 )
= $true )
| ~ spl1085_632 ),
inference(avatar_component_clause,[],[f7363]) ).
thf(f7366,plain,
spl1085_632,
inference(avatar_split_clause,[],[f3896,f7363]) ).
thf(f7682,definition,
( spl1085_702
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X1 @ X0 )
= $true )
| ( $true
!= ( in @ X1 @ ( binintersect @ X0 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1085_702])],[avatar_definition]) ).
thf(f7683,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X1 @ ( binintersect @ X0 @ X2 ) ) )
| ( ( in @ X1 @ X0 )
= $true ) )
| ~ spl1085_702 ),
inference(avatar_component_clause,[],[f7682]) ).
thf(f7684,plain,
( spl1085_702
| ~ spl1085_315 ),
inference(avatar_split_clause,[],[f2885,f5922,f7682]) ).
thf(f9110,plain,
spl1085_312,
inference(avatar_split_clause,[],[f3759,f5908]) ).
thf(f9382,plain,
spl1085_315,
inference(avatar_split_clause,[],[f3667,f5922]) ).
thf(f9480,definition,
( spl1085_1076
<=> ( ( in @ sK825 @ sK826 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1085_1076])],[avatar_definition]) ).
thf(f9482,plain,
( ( ( in @ sK825 @ sK826 )
= $true )
| ~ spl1085_1076 ),
inference(avatar_component_clause,[],[f9480]) ).
thf(f9483,plain,
spl1085_1076,
inference(avatar_split_clause,[],[f3895,f9480]) ).
thf(f11916,definition,
( spl1085_1575
<=> ( ( transitiveset @ sK824 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1085_1575])],[avatar_definition]) ).
thf(f11918,plain,
( ( ( transitiveset @ sK824 )
= $true )
| ~ spl1085_1575 ),
inference(avatar_component_clause,[],[f11916]) ).
thf(f11919,plain,
spl1085_1575,
inference(avatar_split_clause,[],[f3897,f11916]) ).
thf(f12201,definition,
( spl1085_1631
<=> ( ( in @ sK825 @ sK824 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1085_1631])],[avatar_definition]) ).
thf(f12203,plain,
( ( ( in @ sK825 @ sK824 )
!= $true )
| spl1085_1631 ),
inference(avatar_component_clause,[],[f12201]) ).
thf(f12204,plain,
~ spl1085_1631,
inference(avatar_split_clause,[],[f3894,f12201]) ).
thf(f12378,definition,
( spl1085_1668
<=> ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( binintersect @ X1 @ X0 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl1085_1668])],[avatar_definition]) ).
thf(f12379,plain,
( ! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( binintersect @ X1 @ X0 )
= X0 ) )
| ~ spl1085_1668 ),
inference(avatar_component_clause,[],[f12378]) ).
thf(f12380,plain,
( spl1085_1668
| ~ spl1085_312 ),
inference(avatar_split_clause,[],[f2943,f5908,f12378]) ).
thf(f15583,plain,
( ( ( subset @ sK826 @ sK824 )
= $true )
| ~ spl1085_612
| ~ spl1085_632
| ~ spl1085_1575 ),
inference(unit_resulting_resolution,[],[f7271,f11918,f7365]) ).
thf(f15613,definition,
( spl1085_2044
<=> ( ( subset @ sK826 @ sK824 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1085_2044])],[avatar_definition]) ).
thf(f15615,plain,
( ( ( subset @ sK826 @ sK824 )
= $true )
| ~ spl1085_2044 ),
inference(avatar_component_clause,[],[f15613]) ).
thf(f15616,plain,
( spl1085_2044
| ~ spl1085_612
| ~ spl1085_632
| ~ spl1085_1575 ),
inference(avatar_split_clause,[],[f15583,f11916,f7363,f7270,f15613]) ).
thf(f15885,plain,
( ( sK826
= ( binintersect @ sK824 @ sK826 ) )
| ~ spl1085_1668
| ~ spl1085_2044 ),
inference(unit_resulting_resolution,[],[f12379,f15615]) ).
thf(f15938,definition,
( spl1085_2062
<=> ( sK826
= ( binintersect @ sK824 @ sK826 ) ) ),
introduced(definition,[new_symbols(definition,[spl1085_2062])],[avatar_definition]) ).
thf(f15940,plain,
( ( sK826
= ( binintersect @ sK824 @ sK826 ) )
| ~ spl1085_2062 ),
inference(avatar_component_clause,[],[f15938]) ).
thf(f15941,plain,
( spl1085_2062
| ~ spl1085_1668
| ~ spl1085_2044 ),
inference(avatar_split_clause,[],[f15885,f15613,f12378,f15938]) ).
thf(f16016,plain,
( ! [X0: $i] :
( ( in @ sK825 @ ( binintersect @ sK824 @ X0 ) )
!= $true )
| ~ spl1085_702
| spl1085_1631 ),
inference(unit_resulting_resolution,[],[f7683,f12203]) ).
thf(f16346,plain,
( ( ( in @ sK825 @ sK826 )
!= $true )
| ~ spl1085_702
| spl1085_1631
| ~ spl1085_2062 ),
inference(superposition,[],[f16016,f15940]) ).
thf(f16347,plain,
( $false
| ~ spl1085_702
| ~ spl1085_1076
| spl1085_1631
| ~ spl1085_2062 ),
inference(forward_subsumption_resolution,[],[f16346,f9482]) ).
thf(f16348,plain,
( ~ spl1085_702
| ~ spl1085_1076
| spl1085_1631
| ~ spl1085_2062 ),
inference(avatar_contradiction_clause,[],[f16347]) ).
cnf(s378,plain,
spl1085_555,
inference(sat_conversion,[],[f7003]) ).
cnf(s430,plain,
( ~ spl1085_555
| spl1085_612 ),
inference(sat_conversion,[],[f7272]) ).
cnf(s449,plain,
spl1085_632,
inference(sat_conversion,[],[f7366]) ).
cnf(s508,plain,
( ~ spl1085_315
| spl1085_702 ),
inference(sat_conversion,[],[f7684]) ).
cnf(s837,plain,
spl1085_312,
inference(sat_conversion,[],[f9110]) ).
cnf(s911,plain,
spl1085_315,
inference(sat_conversion,[],[f9382]) ).
cnf(s934,plain,
spl1085_1076,
inference(sat_conversion,[],[f9483]) ).
cnf(s1550,plain,
spl1085_1575,
inference(sat_conversion,[],[f11919]) ).
cnf(s1633,plain,
~ spl1085_1631,
inference(sat_conversion,[],[f12204]) ).
cnf(s1681,plain,
( ~ spl1085_312
| spl1085_1668 ),
inference(sat_conversion,[],[f12380]) ).
cnf(s2254,plain,
( ~ spl1085_612
| ~ spl1085_632
| ~ spl1085_1575
| spl1085_2044 ),
inference(sat_conversion,[],[f15616]) ).
cnf(s2281,plain,
( ~ spl1085_1668
| ~ spl1085_2044
| spl1085_2062 ),
inference(sat_conversion,[],[f15941]) ).
cnf(s2343,plain,
( ~ spl1085_702
| ~ spl1085_1076
| spl1085_1631
| ~ spl1085_2062 ),
inference(sat_conversion,[],[f16348]) ).
cnf(s2501,plain,
spl1085_1668,
inference(rat,[],[s1681,s837]) ).
cnf(s2609,plain,
spl1085_702,
inference(rat,[],[s508,s911]) ).
cnf(s2610,plain,
~ spl1085_2062,
inference(rat,[],[s2343,s934,s1633,s2609]) ).
cnf(s2611,plain,
~ spl1085_2044,
inference(rat,[],[s2281,s2501,s2610]) ).
cnf(s2631,plain,
~ spl1085_612,
inference(rat,[],[s2254,s2611,s1550,s449]) ).
cnf(s2647,plain,
~ spl1085_555,
inference(rat,[],[s430,s2631]) ).
cnf(s2666,plain,
$false,
inference(rat,[],[s378,s2647]) ).
thf(f16349,plain,
$false,
inference(avatar_sat_refutation,[],[s2666]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU814^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 14:29:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/0.42 % (417589)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.50/0.42 % (417598)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3075614319:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.50/0.42 % (417600)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.50/0.42 % (417600)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
% 0.50/0.42 % (417598)Instruction limit reached!
% 0.50/0.42 % (417598)------------------------------
% 0.50/0.42 % (417598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (417598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (417598)CaDiCaL version: 2.1.3
% 0.50/0.42 % (417598)Termination reason: Instruction limit
% 0.50/0.42 % (417598)Termination phase: shuffling
% 0.50/0.42 % (417598)Time elapsed: 0.006 s
% 0.50/0.42 % (417598)Peak memory usage: 10 MB
% 0.50/0.42 % (417598)Instructions burned: 24 (million)
% 0.50/0.42 % (417595)lrs+10_16_si=on:nwc=1.5:random_seed=4282618220:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.50/0.42 % (417594)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2662852885:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.50/0.42 % (417596)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=75230659:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.50/0.42 % (417599)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3419145310:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.50/0.42 % (417600)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=3069646439:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.50/0.42 % (417597)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=3016083190: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)
% 0.50/0.42 % (417596)Instruction limit reached!
% 0.50/0.42 % (417596)------------------------------
% 0.50/0.42 % (417596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (417596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (417596)CaDiCaL version: 2.1.3
% 0.50/0.42 % (417596)Termination reason: Instruction limit
% 0.50/0.42 % (417596)Termination phase: shuffling
% 0.50/0.42 % (417596)Time elapsed: 0.002 s
% 0.50/0.42 % (417596)Peak memory usage: 10 MB
% 0.50/0.42 % (417596)Instructions burned: 4 (million)
% 0.50/0.42 % (417595)Instruction limit reached!
% 0.50/0.42 % (417595)------------------------------
% 0.50/0.42 % (417595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (417595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (417595)CaDiCaL version: 2.1.3
% 0.50/0.42 % (417595)Termination reason: Instruction limit
% 0.50/0.42 % (417595)Termination phase: shuffling
% 0.50/0.42 % (417595)Time elapsed: 0.008 s
% 0.50/0.42 % (417595)Peak memory usage: 10 MB
% 0.50/0.42 % (417595)Instructions burned: 18 (million)
% 0.50/0.42 % (417609)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4019364078:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.50/0.42 % (417610)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.42 % (417609)Instruction limit reached!
% 0.50/0.42 % (417609)------------------------------
% 0.50/0.42 % (417609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (417609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (417609)CaDiCaL version: 2.1.3
% 0.50/0.42 % (417609)Termination reason: Instruction limit
% 0.50/0.42 % (417609)Termination phase: shuffling
% 0.50/0.42 % (417609)Time elapsed: 0.003 s
% 0.50/0.42 % (417609)Peak memory usage: 10 MB
% 0.50/0.42 % (417609)Instructions burned: 5 (million)
% 0.50/0.42 % (417610)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2464572521:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.26/0.47 % (417602)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1363701396:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.26/0.47 % (417602)Instruction limit reached!
% 1.26/0.47 % (417602)------------------------------
% 1.26/0.47 % (417602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (417602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (417602)CaDiCaL version: 2.1.3
% 1.26/0.47 % (417602)Termination reason: Instruction limit
% 1.26/0.47 % (417602)Termination phase: shuffling
% 1.26/0.47 % (417602)Time elapsed: 0.004 s
% 1.26/0.47 % (417602)Peak memory usage: 10 MB
% 1.26/0.47 % (417602)Instructions burned: 4 (million)
% 1.26/0.47 % (417599)Instruction limit reached!
% 1.26/0.47 % (417599)------------------------------
% 1.26/0.47 % (417599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (417599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (417599)CaDiCaL version: 2.1.3
% 1.26/0.47 % (417599)Termination reason: Instruction limit
% 1.26/0.47 % (417599)Termination phase: Preprocessing 1
% 1.26/0.47 % (417599)Time elapsed: 0.033 s
% 1.26/0.47 % (417599)Peak memory usage: 11 MB
% 1.26/0.47 % (417599)Instructions burned: 77 (million)
% 1.26/0.47 % (417610)Instruction limit reached!
% 1.26/0.47 % (417610)------------------------------
% 1.26/0.47 % (417610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (417610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (417610)CaDiCaL version: 2.1.3
% 1.26/0.47 % (417610)Termination reason: Instruction limit
% 1.26/0.47 % (417610)Termination phase: shuffling
% 1.26/0.47 % (417610)Time elapsed: 0.005 s
% 1.26/0.47 % (417610)Peak memory usage: 10 MB
% 1.26/0.47 % (417610)Instructions burned: 10 (million)
% 1.26/0.47 % (417594)Instruction limit reached!
% 1.26/0.47 % (417594)------------------------------
% 1.26/0.47 % (417594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (417594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (417594)CaDiCaL version: 2.1.3
% 1.26/0.47 % (417594)Termination reason: Instruction limit
% 1.26/0.47 % (417594)Termination phase: Preprocessing 3
% 1.26/0.47 % (417594)Time elapsed: 0.039 s
% 1.26/0.47 % (417594)Peak memory usage: 12 MB
% 1.26/0.47 % (417594)Instructions burned: 88 (million)
% 1.26/0.47 % (417614)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2046900818:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.26/0.47 % (417615)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.26/0.47 % (417615)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.26/0.47 % (417616)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=106723615:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.26/0.47 % (417615)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1221127597:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.26/0.47 % (417617)lrs+10_1_si=on:cs=on:random_seed=1617995215:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.26/0.47 % (417618)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.26/0.47 % (417614)Instruction limit reached!
% 1.26/0.47 % (417614)------------------------------
% 1.26/0.47 % (417614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.47 % (417614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.47 % (417614)CaDiCaL version: 2.1.3
% 1.26/0.47 % (417614)Termination reason: Instruction limit
% 1.26/0.47 % (417614)Termination phase: shuffling
% 1.26/0.47 % (417614)Time elapsed: 0.007 s
% 1.26/0.47 % (417614)Peak memory usage: 10 MB
% 1.26/0.47 % (417614)Instructions burned: 14 (million)
% 1.26/0.51 % (417618)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=586210956:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.26/0.51 % (417617)Instruction limit reached!
% 1.26/0.51 % (417617)------------------------------
% 1.26/0.51 % (417617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (417617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (417617)CaDiCaL version: 2.1.3
% 1.26/0.51 % (417617)Termination reason: Instruction limit
% 1.26/0.51 % (417617)Termination phase: shuffling
% 1.26/0.51 % (417617)Time elapsed: 0.005 s
% 1.26/0.51 % (417617)Peak memory usage: 10 MB
% 1.26/0.51 % (417617)Instructions burned: 10 (million)
% 1.26/0.51 % (417618)Instruction limit reached!
% 1.26/0.51 % (417618)------------------------------
% 1.26/0.51 % (417618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (417618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (417618)CaDiCaL version: 2.1.3
% 1.26/0.51 % (417618)Termination reason: Instruction limit
% 1.26/0.51 % (417618)Termination phase: shuffling
% 1.26/0.51 % (417618)Time elapsed: 0.002 s
% 1.26/0.51 % (417618)Peak memory usage: 10 MB
% 1.26/0.51 % (417618)Instructions burned: 4 (million)
% 1.26/0.51 % (417615)Instruction limit reached!
% 1.26/0.51 % (417615)------------------------------
% 1.26/0.51 % (417615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (417615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (417615)CaDiCaL version: 2.1.3
% 1.26/0.51 % (417615)Termination reason: Instruction limit
% 1.26/0.51 % (417615)Termination phase: shuffling
% 1.26/0.51 % (417615)Time elapsed: 0.012 s
% 1.26/0.51 % (417615)Peak memory usage: 11 MB
% 1.26/0.51 % (417615)Instructions burned: 28 (million)
% 1.26/0.51 % (417600)Instruction limit reached!
% 1.26/0.51 % (417600)------------------------------
% 1.26/0.51 % (417600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (417600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (417600)CaDiCaL version: 2.1.3
% 1.26/0.51 % (417600)Termination reason: Instruction limit
% 1.26/0.51 % (417600)Termination phase: Twee Goal Transformation
% 1.26/0.51 % (417600)Time elapsed: 0.067 s
% 1.26/0.51 % (417600)Peak memory usage: 12 MB
% 1.26/0.51 % (417600)Instructions burned: 158 (million)
% 1.26/0.51 % (417623)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2048476098:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.26/0.51 % (417625)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=656354199:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.26/0.51 % (417626)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=236359176:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.26/0.51 % (417627)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1814326851:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.51 % (417628)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1882555865:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.26/0.51 % (417616)Instruction limit reached!
% 1.26/0.51 % (417616)------------------------------
% 1.26/0.51 % (417616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (417616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (417616)CaDiCaL version: 2.1.3
% 1.26/0.51 % (417616)Termination reason: Instruction limit
% 1.26/0.51 % (417616)Termination phase: Property scanning
% 1.26/0.51 % (417616)Time elapsed: 0.036 s
% 1.26/0.51 % (417616)Peak memory usage: 11 MB
% 1.26/0.51 % (417616)Instructions burned: 86 (million)
% 1.26/0.51 % (417626)Instruction limit reached!
% 1.26/0.51 % (417626)------------------------------
% 1.26/0.51 % (417626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.51 % (417626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.51 % (417626)CaDiCaL version: 2.1.3
% 1.26/0.51 % (417626)Termination reason: Instruction limit
% 1.26/0.51 % (417626)Termination phase: shuffling
% 1.26/0.51 % (417626)Time elapsed: 0.011 s
% 1.26/0.56 % (417626)Peak memory usage: 10 MB
% 1.26/0.56 % (417626)Instructions burned: 25 (million)
% 1.26/0.56 % (417623)Instruction limit reached!
% 1.26/0.56 % (417623)------------------------------
% 1.26/0.56 % (417623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.56 % (417623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.56 % (417623)CaDiCaL version: 2.1.3
% 1.26/0.56 % (417623)Termination reason: Instruction limit
% 1.26/0.56 % (417623)Termination phase: Property scanning
% 1.26/0.56 % (417623)Time elapsed: 0.017 s
% 1.26/0.56 % (417623)Peak memory usage: 11 MB
% 1.26/0.56 % (417623)Instructions burned: 38 (million)
% 1.26/0.56 % (417627)Instruction limit reached!
% 1.26/0.56 % (417627)------------------------------
% 1.26/0.56 % (417627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.56 % (417627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.56 % (417627)CaDiCaL version: 2.1.3
% 1.26/0.56 % (417627)Termination reason: Instruction limit
% 1.26/0.56 % (417627)Termination phase: shuffling
% 1.26/0.56 % (417627)Time elapsed: 0.008 s
% 1.26/0.56 % (417627)Peak memory usage: 10 MB
% 1.26/0.56 % (417627)Instructions burned: 16 (million)
% 1.26/0.56 % (417634)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3990321145:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.56 % (417635)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2880663830:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.26/0.56 % (417636)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4269708865:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.26/0.56 % (417637)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3954846532:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.26/0.56 % (417635)Instruction limit reached!
% 1.26/0.56 % (417635)------------------------------
% 1.26/0.56 % (417635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.56 % (417635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.56 % (417635)CaDiCaL version: 2.1.3
% 1.26/0.56 % (417635)Termination reason: Instruction limit
% 1.26/0.56 % (417635)Termination phase: shuffling
% 1.26/0.56 % (417635)Time elapsed: 0.002 s
% 1.26/0.56 % (417635)Peak memory usage: 10 MB
% 1.26/0.56 % (417635)Instructions burned: 3 (million)
% 1.26/0.56 % (417634)Instruction limit reached!
% 1.26/0.56 % (417634)------------------------------
% 1.26/0.56 % (417634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.56 % (417634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.56 % (417634)CaDiCaL version: 2.1.3
% 1.26/0.56 % (417634)Termination reason: Instruction limit
% 1.26/0.56 % (417634)Termination phase: shuffling
% 1.26/0.56 % (417634)Time elapsed: 0.007 s
% 1.26/0.56 % (417634)Peak memory usage: 10 MB
% 1.26/0.56 % (417634)Instructions burned: 15 (million)
% 1.26/0.56 % (417637)Instruction limit reached!
% 1.26/0.56 % (417637)------------------------------
% 1.26/0.56 % (417637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.56 % (417637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.56 % (417637)CaDiCaL version: 2.1.3
% 1.26/0.56 % (417637)Termination reason: Instruction limit
% 1.26/0.56 % (417637)Termination phase: shuffling
% 1.26/0.56 % (417637)Time elapsed: 0.011 s
% 1.26/0.56 % (417637)Peak memory usage: 10 MB
% 1.26/0.56 % (417637)Instructions burned: 23 (million)
% 1.26/0.56 % (417636)Instruction limit reached!
% 1.26/0.56 % (417636)------------------------------
% 1.26/0.56 % (417636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.56 % (417636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.56 % (417636)CaDiCaL version: 2.1.3
% 1.26/0.56 % (417636)Termination reason: Instruction limit
% 1.26/0.56 % (417636)Termination phase: shuffling
% 1.26/0.56 % (417636)Time elapsed: 0.012 s
% 1.26/0.56 % (417636)Peak memory usage: 11 MB
% 1.26/0.56 % (417636)Instructions burned: 27 (million)
% 1.26/0.56 % (417644)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.26/0.56 % (417642)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2127028875:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.99/0.61 % (417644)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=1594062574:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.99/0.61 % (417644)Instruction limit reached!
% 1.99/0.61 % (417644)------------------------------
% 1.99/0.61 % (417644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.61 % (417644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.61 % (417644)CaDiCaL version: 2.1.3
% 1.99/0.61 % (417644)Termination reason: Instruction limit
% 1.99/0.61 % (417644)Termination phase: shuffling
% 1.99/0.61 % (417644)Time elapsed: 0.004 s
% 1.99/0.61 % (417644)Peak memory usage: 10 MB
% 1.99/0.61 % (417644)Instructions burned: 8 (million)
% 1.99/0.61 % (417643)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
% 1.99/0.61 % (417643)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.99/0.61 % (417645)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=1248395546:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.99/0.61 % (417643)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=3609860226:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.99/0.61 % (417642)Instruction limit reached!
% 1.99/0.61 % (417642)------------------------------
% 1.99/0.61 % (417642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.61 % (417642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.61 % (417642)CaDiCaL version: 2.1.3
% 1.99/0.61 % (417642)Termination reason: Instruction limit
% 1.99/0.61 % (417642)Termination phase: Unused predicate definition removal
% 1.99/0.61 % (417642)Time elapsed: 0.027 s
% 1.99/0.61 % (417642)Peak memory usage: 11 MB
% 1.99/0.61 % (417642)Instructions burned: 61 (million)
% 1.99/0.61 % (417648)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=288509069:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.99/0.61 % (417643)Instruction limit reached!
% 1.99/0.61 % (417643)------------------------------
% 1.99/0.61 % (417643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.61 % (417643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.61 % (417643)CaDiCaL version: 2.1.3
% 1.99/0.61 % (417643)Termination reason: Instruction limit
% 1.99/0.61 % (417643)Termination phase: shuffling
% 1.99/0.61 % (417643)Time elapsed: 0.011 s
% 1.99/0.61 % (417643)Peak memory usage: 10 MB
% 1.99/0.61 % (417643)Instructions burned: 14 (million)
% 1.99/0.61 % (417648)Instruction limit reached!
% 1.99/0.61 % (417648)------------------------------
% 1.99/0.61 % (417648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.61 % (417648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.61 % (417648)CaDiCaL version: 2.1.3
% 1.99/0.61 % (417648)Termination reason: Instruction limit
% 1.99/0.61 % (417648)Termination phase: shuffling
% 1.99/0.61 % (417648)Time elapsed: 0.004 s
% 1.99/0.61 % (417648)Peak memory usage: 10 MB
% 1.99/0.61 % (417648)Instructions burned: 8 (million)
% 1.99/0.61 % (417597)Instruction limit reached!
% 1.99/0.61 % (417597)------------------------------
% 1.99/0.61 % (417597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.61 % (417597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.61 % (417597)CaDiCaL version: 2.1.3
% 1.99/0.61 % (417597)Termination reason: Instruction limit
% 1.99/0.61 % (417597)Termination phase: Saturation
% 1.99/0.61 % (417597)Time elapsed: 0.173 s
% 1.99/0.61 % (417597)Peak memory usage: 22 MB
% 1.99/0.61 % (417597)Instructions burned: 635 (million)
% 1.99/0.61 % (417645)Instruction limit reached!
% 1.99/0.61 % (417645)------------------------------
% 1.99/0.61 % (417645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.61 % (417645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.67 % (417645)CaDiCaL version: 2.1.3
% 2.33/0.67 % (417645)Termination reason: Instruction limit
% 2.33/0.67 % (417645)Termination phase: shuffling
% 2.33/0.67 % (417645)Time elapsed: 0.025 s
% 2.33/0.67 % (417645)Peak memory usage: 11 MB
% 2.33/0.67 % (417645)Instructions burned: 33 (million)
% 2.33/0.67 % (417655)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2947956245:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.33/0.67 % (417651)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1714322888:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.33/0.67 % (417653)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2855437830:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.33/0.67 % (417654)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2540746383:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.33/0.67 % (417653)Instruction limit reached!
% 2.33/0.67 % (417653)------------------------------
% 2.33/0.67 % (417653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.67 % (417653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.67 % (417653)CaDiCaL version: 2.1.3
% 2.33/0.67 % (417653)Termination reason: Instruction limit
% 2.33/0.67 % (417653)Termination phase: shuffling
% 2.33/0.67 % (417653)Time elapsed: 0.009 s
% 2.33/0.67 % (417653)Peak memory usage: 10 MB
% 2.33/0.67 % (417653)Instructions burned: 20 (million)
% 2.33/0.67 % (417651)Instruction limit reached!
% 2.33/0.67 % (417651)------------------------------
% 2.33/0.67 % (417651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.67 % (417651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.67 % (417651)CaDiCaL version: 2.1.3
% 2.33/0.67 % (417651)Termination reason: Instruction limit
% 2.33/0.67 % (417651)Termination phase: shuffling
% 2.33/0.67 % (417651)Time elapsed: 0.013 s
% 2.33/0.67 % (417651)Peak memory usage: 11 MB
% 2.33/0.67 % (417651)Instructions burned: 29 (million)
% 2.33/0.67 % (417656)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2822574713:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.33/0.67 % (417655)Instruction limit reached!
% 2.33/0.67 % (417655)------------------------------
% 2.33/0.67 % (417655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.67 % (417655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.67 % (417655)CaDiCaL version: 2.1.3
% 2.33/0.67 % (417655)Termination reason: Instruction limit
% 2.33/0.67 % (417655)Termination phase: Twee Goal Transformation
% 2.33/0.67 % (417655)Time elapsed: 0.032 s
% 2.33/0.67 % (417655)Peak memory usage: 12 MB
% 2.33/0.67 % (417655)Instructions burned: 146 (million)
% 2.33/0.67 % (417663)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.33/0.67 % (417661)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=595380169:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.33/0.67 % (417663)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=257261836:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.33/0.67 % (417628)Instruction limit reached!
% 2.33/0.67 % (417628)------------------------------
% 2.33/0.67 % (417628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.67 % (417628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.67 % (417628)CaDiCaL version: 2.1.3
% 2.33/0.67 % (417628)Termination reason: Instruction limit
% 2.33/0.67 % (417628)Termination phase: Saturation
% 2.33/0.67 % (417628)Time elapsed: 0.139 s
% 2.33/0.67 % (417628)Peak memory usage: 15 MB
% 2.33/0.67 % (417628)Instructions burned: 327 (million)
% 2.33/0.67 % (417663)Instruction limit reached!
% 2.33/0.67 % (417663)------------------------------
% 2.33/0.67 % (417663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.67 % (417663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.67 % (417663)CaDiCaL version: 2.1.3
% 2.33/0.67 % (417663)Termination reason: Instruction limit
% 2.33/0.67 % (417663)Termination phase: shuffling
% 2.33/0.67 % (417663)Time elapsed: 0.004 s
% 2.51/0.77 % (417663)Peak memory usage: 10 MB
% 2.51/0.77 % (417663)Instructions burned: 7 (million)
% 2.51/0.77 % (417664)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3657399118:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.51/0.77 % (417661)Instruction limit reached!
% 2.51/0.77 % (417661)------------------------------
% 2.51/0.77 % (417661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.77 % (417661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.77 % (417661)CaDiCaL version: 2.1.3
% 2.51/0.77 % (417661)Termination reason: Instruction limit
% 2.51/0.77 % (417661)Termination phase: shuffling
% 2.51/0.77 % (417661)Time elapsed: 0.021 s
% 2.51/0.77 % (417661)Peak memory usage: 11 MB
% 2.51/0.77 % (417661)Instructions burned: 43 (million)
% 2.51/0.77 % (417669)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.51/0.77 % (417667)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=2277826448:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.51/0.77 % (417669)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1172283579:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.51/0.77 % (417669)Instruction limit reached!
% 2.51/0.77 % (417669)------------------------------
% 2.51/0.77 % (417669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.77 % (417669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.77 % (417669)CaDiCaL version: 2.1.3
% 2.51/0.77 % (417669)Termination reason: Instruction limit
% 2.51/0.77 % (417669)Termination phase: shuffling
% 2.51/0.77 % (417669)Time elapsed: 0.003 s
% 2.51/0.77 % (417669)Peak memory usage: 10 MB
% 2.51/0.77 % (417669)Instructions burned: 6 (million)
% 2.51/0.77 % (417625)Instruction limit reached!
% 2.51/0.77 % (417625)------------------------------
% 2.51/0.77 % (417625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.77 % (417625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.77 % (417625)CaDiCaL version: 2.1.3
% 2.51/0.77 % (417625)Termination reason: Instruction limit
% 2.51/0.77 % (417625)Termination phase: Saturation
% 2.51/0.77 % (417625)Time elapsed: 0.177 s
% 2.51/0.77 % (417625)Peak memory usage: 15 MB
% 2.51/0.77 % (417625)Instructions burned: 250 (million)
% 2.51/0.77 % (417670)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4099596816:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.51/0.77 % (417664)Instruction limit reached!
% 2.51/0.77 % (417664)------------------------------
% 2.51/0.77 % (417664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.77 % (417664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.77 % (417664)CaDiCaL version: 2.1.3
% 2.51/0.77 % (417664)Termination reason: Instruction limit
% 2.51/0.77 % (417664)Termination phase: Property scanning
% 2.51/0.77 % (417664)Time elapsed: 0.040 s
% 2.51/0.77 % (417664)Peak memory usage: 12 MB
% 2.51/0.77 % (417664)Instructions burned: 182 (million)
% 2.51/0.77 % (417673)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3800486359:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.51/0.77 % (417674)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=578112762:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.51/0.77 % (417670)Instruction limit reached!
% 2.51/0.77 % (417670)------------------------------
% 2.51/0.77 % (417670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.77 % (417670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.77 % (417670)CaDiCaL version: 2.1.3
% 2.51/0.77 % (417670)Termination reason: Instruction limit
% 2.51/0.77 % (417670)Termination phase: shuffling
% 2.51/0.77 % (417670)Time elapsed: 0.011 s
% 2.51/0.77 % (417670)Peak memory usage: 11 MB
% 2.51/0.77 % (417670)Instructions burned: 23 (million)
% 2.51/0.77 % (417676)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=3710439002:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.07/0.85 % (417656)Instruction limit reached!
% 3.07/0.85 % (417656)------------------------------
% 3.07/0.85 % (417656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.85 % (417656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.85 % (417656)CaDiCaL version: 2.1.3
% 3.07/0.85 % (417656)Termination reason: Instruction limit
% 3.07/0.85 % (417656)Termination phase: Property scanning
% 3.07/0.85 % (417656)Time elapsed: 0.080 s
% 3.07/0.85 % (417656)Peak memory usage: 13 MB
% 3.07/0.85 % (417656)Instructions burned: 193 (million)
% 3.07/0.85 % (417673)Instruction limit reached!
% 3.07/0.85 % (417673)------------------------------
% 3.07/0.85 % (417673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.85 % (417673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.85 % (417673)CaDiCaL version: 2.1.3
% 3.07/0.85 % (417673)Termination reason: Instruction limit
% 3.07/0.85 % (417673)Termination phase: shuffling
% 3.07/0.85 % (417673)Time elapsed: 0.009 s
% 3.07/0.85 % (417673)Peak memory usage: 10 MB
% 3.07/0.85 % (417673)Instructions burned: 19 (million)
% 3.07/0.85 % (417679)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=3021911604:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.07/0.85 % (417681)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=50197081:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.07/0.85 % (417682)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2658752554:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.07/0.85 % (417682)Instruction limit reached!
% 3.07/0.85 % (417682)------------------------------
% 3.07/0.85 % (417682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417682)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417682)Termination reason: Instruction limit
% 3.07/0.86 % (417682)Termination phase: shuffling
% 3.07/0.86 % (417682)Time elapsed: 0.009 s
% 3.07/0.86 % (417682)Peak memory usage: 11 MB
% 3.07/0.86 % (417682)Instructions burned: 21 (million)
% 3.07/0.86 % (417679)Instruction limit reached!
% 3.07/0.86 % (417679)------------------------------
% 3.07/0.86 % (417679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417679)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417679)Termination reason: Instruction limit
% 3.07/0.86 % (417679)Termination phase: shuffling
% 3.07/0.86 % (417679)Time elapsed: 0.020 s
% 3.07/0.86 % (417679)Peak memory usage: 11 MB
% 3.07/0.86 % (417679)Instructions burned: 47 (million)
% 3.07/0.86 % (417667)Instruction limit reached!
% 3.07/0.86 % (417667)------------------------------
% 3.07/0.86 % (417667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417667)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417667)Termination reason: Instruction limit
% 3.07/0.86 % (417667)Termination phase: Property scanning
% 3.07/0.86 % (417667)Time elapsed: 0.073 s
% 3.07/0.86 % (417667)Peak memory usage: 12 MB
% 3.07/0.86 % (417667)Instructions burned: 177 (million)
% 3.07/0.86 % (417686)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.07/0.86 % (417686)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1272705651:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.07/0.86 % (417687)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1805724492:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.07/0.86 % (417688)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=3812071327:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.07/0.86 % (417687)Instruction limit reached!
% 3.07/0.86 % (417687)------------------------------
% 3.07/0.86 % (417687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417687)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417687)Termination reason: Instruction limit
% 3.07/0.86 % (417687)Termination phase: shuffling
% 3.07/0.86 % (417687)Time elapsed: 0.007 s
% 3.07/0.86 % (417687)Peak memory usage: 10 MB
% 3.07/0.86 % (417687)Instructions burned: 15 (million)
% 3.07/0.86 % (417692)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2315202193:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.07/0.86 % (417688)Instruction limit reached!
% 3.07/0.86 % (417688)------------------------------
% 3.07/0.86 % (417688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417688)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417688)Termination reason: Instruction limit
% 3.07/0.86 % (417688)Termination phase: Property scanning
% 3.07/0.86 % (417688)Time elapsed: 0.028 s
% 3.07/0.86 % (417688)Peak memory usage: 11 MB
% 3.07/0.86 % (417688)Instructions burned: 66 (million)
% 3.07/0.86 % (417692)Instruction limit reached!
% 3.07/0.86 % (417692)------------------------------
% 3.07/0.86 % (417692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417692)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417692)Termination reason: Instruction limit
% 3.07/0.86 % (417692)Termination phase: Property scanning
% 3.07/0.86 % (417692)Time elapsed: 0.022 s
% 3.07/0.86 % (417692)Peak memory usage: 11 MB
% 3.07/0.86 % (417692)Instructions burned: 51 (million)
% 3.07/0.86 % (417694)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1397561897:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.07/0.86 % (417694)Instruction limit reached!
% 3.07/0.86 % (417694)------------------------------
% 3.07/0.86 % (417694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417694)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417694)Termination reason: Instruction limit
% 3.07/0.86 % (417694)Termination phase: shuffling
% 3.07/0.86 % (417694)Time elapsed: 0.014 s
% 3.07/0.86 % (417694)Peak memory usage: 11 MB
% 3.07/0.86 % (417694)Instructions burned: 32 (million)
% 3.07/0.86 % (417695)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=264427882:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.07/0.86 % (417674)Instruction limit reached!
% 3.07/0.86 % (417674)------------------------------
% 3.07/0.86 % (417674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417674)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417674)Termination reason: Instruction limit
% 3.07/0.86 % (417674)Termination phase: Saturation
% 3.07/0.86 % (417674)Time elapsed: 0.138 s
% 3.07/0.86 % (417674)Peak memory usage: 16 MB
% 3.07/0.86 % (417674)Instructions burned: 317 (million)
% 3.07/0.86 % (417686)Instruction limit reached!
% 3.07/0.86 % (417686)------------------------------
% 3.07/0.86 % (417686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417686)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417686)Termination reason: Instruction limit
% 3.07/0.86 % (417686)Termination phase: Saturation
% 3.07/0.86 % (417686)Time elapsed: 0.083 s
% 3.07/0.86 % (417686)Peak memory usage: 14 MB
% 3.07/0.86 % (417686)Instructions burned: 202 (million)
% 3.07/0.86 % (417697)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=4080466531:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.07/0.86 % (417700)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.07/0.86 % (417699)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2513862570:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.07/0.86 % (417700)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=443832297:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.07/0.86 % (417697)Instruction limit reached!
% 3.07/0.86 % (417697)------------------------------
% 3.07/0.86 % (417697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417697)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417697)Termination reason: Instruction limit
% 3.07/0.86 % (417697)Termination phase: shuffling
% 3.07/0.86 % (417697)Time elapsed: 0.020 s
% 3.07/0.86 % (417697)Peak memory usage: 11 MB
% 3.07/0.86 % (417697)Instructions burned: 45 (million)
% 3.07/0.86 % (417704)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2629198433:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.07/0.86 % (417699)Instruction limit reached!
% 3.07/0.86 % (417699)------------------------------
% 3.07/0.86 % (417699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417699)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417699)Termination reason: Instruction limit
% 3.07/0.86 % (417699)Termination phase: Property scanning
% 3.07/0.86 % (417699)Time elapsed: 0.029 s
% 3.07/0.86 % (417699)Peak memory usage: 11 MB
% 3.07/0.86 % (417699)Instructions burned: 67 (million)
% 3.07/0.86 % (417706)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=187578258:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.07/0.86 % (417695)Instruction limit reached!
% 3.07/0.86 % (417695)------------------------------
% 3.07/0.86 % (417695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417695)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417695)Termination reason: Instruction limit
% 3.07/0.86 % (417695)Termination phase: Twee Goal Transformation
% 3.07/0.86 % (417695)Time elapsed: 0.079 s
% 3.07/0.86 % (417695)Peak memory usage: 12 MB
% 3.07/0.86 % (417695)Instructions burned: 138 (million)
% 3.07/0.86 % (417708)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=309437054:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.07/0.86 % (417700)Instruction limit reached!
% 3.07/0.86 % (417700)------------------------------
% 3.07/0.86 % (417700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417700)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417700)Termination reason: Instruction limit
% 3.07/0.86 % (417700)Termination phase: Property scanning
% 3.07/0.86 % (417700)Time elapsed: 0.073 s
% 3.07/0.86 % (417700)Peak memory usage: 12 MB
% 3.07/0.86 % (417700)Instructions burned: 180 (million)
% 3.07/0.86 % (417676) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-417589-417676"...
% 3.07/0.86 % (417676)...printing done.
% 3.07/0.86 % (417676)Refutation found. Thanks to Tanya!
% 3.07/0.86 % SZS status Theorem for theBenchmark
% 3.07/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 3.07/0.86 % (417676)------------------------------
% 3.07/0.86 % (417676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.86 % (417676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.86 % (417676)CaDiCaL version: 2.1.3
% 3.07/0.86 % (417676)Termination reason: Refutation
% 3.07/0.86 % (417676)Time elapsed: 0.238 s
% 3.07/0.86 % (417676)Peak memory usage: 25 MB
% 3.07/0.86 % (417676)Instructions burned: 869 (million)
% 3.07/0.86 % (417589)Success in time 0.579 s
% 3.07/0.86 % Vampire exiting
%------------------------------------------------------------------------------