%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU824^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:30:36 EDT 2024
% Result : Theorem 1.09s 0.64s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 394
% Syntax : Number of formulae : 422 ( 19 unt; 375 typ; 0 def)
% Number of atoms : 2560 ( 84 equ; 0 cnn)
% Maximal formula atoms : 1440 ( 54 avg)
% Number of connectives : 6924 ( 703 ~;1067 |; 544 &;3724 @)
% ( 16 <=>; 870 =>; 0 <=; 0 <~>)
% Maximal formula depth : 482 ( 32 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 46 >; 0 *; 0 +; 0 <<)
% Number of symbols : 378 ( 375 usr; 347 con; 0-3 aty)
% Number of variables : 245 ( 10 ^ 214 !; 21 ?; 245 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
in: $i > $i > $o ).
thf(decl_24,type,
setextAx: $o ).
thf(decl_25,type,
emptyset: $i ).
thf(decl_26,type,
emptysetAx: $o ).
thf(decl_28,type,
setadjoinAx: $o ).
thf(decl_29,type,
powerset: $i > $i ).
thf(decl_30,type,
powersetAx: $o ).
thf(decl_31,type,
setunion: $i > $i ).
thf(decl_32,type,
setunionAx: $o ).
thf(decl_34,type,
omega0Ax: $o ).
thf(decl_35,type,
omegaSAx: $o ).
thf(decl_36,type,
omegaIndAx: $o ).
thf(decl_37,type,
replAx: $o ).
thf(decl_38,type,
foundationAx: $o ).
thf(decl_39,type,
wellorderingAx: $o ).
thf(decl_41,type,
descrp: $o ).
thf(decl_42,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(decl_43,type,
dsetconstrI: $o ).
thf(decl_44,type,
dsetconstrEL: $o ).
thf(decl_45,type,
dsetconstrER: $o ).
thf(decl_46,type,
exuE1: $o ).
thf(decl_48,type,
prop2setE: $o ).
thf(decl_49,type,
emptysetE: $o ).
thf(decl_50,type,
emptysetimpfalse: $o ).
thf(decl_51,type,
notinemptyset: $o ).
thf(decl_52,type,
exuE3e: $o ).
thf(decl_53,type,
setext: $o ).
thf(decl_54,type,
emptyI: $o ).
thf(decl_55,type,
noeltsimpempty: $o ).
thf(decl_56,type,
setbeta: $o ).
thf(decl_57,type,
nonempty: $i > $o ).
thf(decl_58,type,
nonemptyE1: $o ).
thf(decl_59,type,
nonemptyI: $o ).
thf(decl_60,type,
nonemptyI1: $o ).
thf(decl_61,type,
setadjoinIL: $o ).
thf(decl_62,type,
emptyinunitempty: $o ).
thf(decl_63,type,
setadjoinIR: $o ).
thf(decl_64,type,
setadjoinE: $o ).
thf(decl_65,type,
setadjoinOr: $o ).
thf(decl_66,type,
setoftrueEq: $o ).
thf(decl_67,type,
powersetI: $o ).
thf(decl_68,type,
emptyinPowerset: $o ).
thf(decl_69,type,
emptyInPowerset: $o ).
thf(decl_70,type,
powersetE: $o ).
thf(decl_71,type,
setunionI: $o ).
thf(decl_72,type,
setunionE: $o ).
thf(decl_73,type,
subPowSU: $o ).
thf(decl_74,type,
exuE2: $o ).
thf(decl_75,type,
nonemptyImpWitness: $o ).
thf(decl_76,type,
uniqinunit: $o ).
thf(decl_77,type,
notinsingleton: $o ).
thf(decl_78,type,
eqinunit: $o ).
thf(decl_79,type,
singletonsswitch: $o ).
thf(decl_80,type,
upairsetE: $o ).
thf(decl_81,type,
upairsetIL: $o ).
thf(decl_82,type,
upairsetIR: $o ).
thf(decl_83,type,
emptyE1: $o ).
thf(decl_84,type,
vacuousDall: $o ).
thf(decl_85,type,
quantDeMorgan1: $o ).
thf(decl_86,type,
quantDeMorgan2: $o ).
thf(decl_87,type,
quantDeMorgan3: $o ).
thf(decl_88,type,
quantDeMorgan4: $o ).
thf(decl_89,type,
prop2setI: $o ).
thf(decl_91,type,
prop2set2propI: $o ).
thf(decl_92,type,
notdexE: $o ).
thf(decl_93,type,
notdallE: $o ).
thf(decl_94,type,
exuI1: $o ).
thf(decl_95,type,
exuI3: $o ).
thf(decl_96,type,
exuI2: $o ).
thf(decl_97,type,
inCongP: $o ).
thf(decl_98,type,
in__Cong: $o ).
thf(decl_99,type,
exuE3u: $o ).
thf(decl_100,type,
exu__Cong: $o ).
thf(decl_101,type,
emptyset__Cong: $o ).
thf(decl_102,type,
setadjoin__Cong: $o ).
thf(decl_103,type,
powerset__Cong: $o ).
thf(decl_104,type,
setunion__Cong: $o ).
thf(decl_105,type,
omega__Cong: $o ).
thf(decl_106,type,
exuEu: $o ).
thf(decl_107,type,
descr__Cong: $o ).
thf(decl_108,type,
dsetconstr__Cong: $o ).
thf(decl_109,type,
subset: $i > $i > $o ).
thf(decl_112,type,
subsetI1: $o ).
thf(decl_113,type,
eqimpsubset2: $o ).
thf(decl_114,type,
eqimpsubset1: $o ).
thf(decl_115,type,
subsetI2: $o ).
thf(decl_116,type,
emptysetsubset: $o ).
thf(decl_117,type,
subsetE: $o ).
thf(decl_118,type,
subsetE2: $o ).
thf(decl_119,type,
notsubsetI: $o ).
thf(decl_120,type,
notequalI1: $o ).
thf(decl_121,type,
notequalI2: $o ).
thf(decl_122,type,
subsetRefl: $o ).
thf(decl_123,type,
subsetTrans: $o ).
thf(decl_124,type,
setadjoinSub: $o ).
thf(decl_125,type,
setadjoinSub2: $o ).
thf(decl_126,type,
subset2powerset: $o ).
thf(decl_127,type,
setextsub: $o ).
thf(decl_128,type,
subsetemptysetimpeq: $o ).
thf(decl_129,type,
powersetI1: $o ).
thf(decl_130,type,
powersetE1: $o ).
thf(decl_131,type,
inPowerset: $o ).
thf(decl_132,type,
powersetsubset: $o ).
thf(decl_133,type,
sepInPowerset: $o ).
thf(decl_134,type,
sepSubset: $o ).
thf(decl_136,type,
binunionIL: $o ).
thf(decl_137,type,
upairset2IR: $o ).
thf(decl_138,type,
binunionIR: $o ).
thf(decl_139,type,
binunionEcases: $o ).
thf(decl_140,type,
binunionE: $o ).
thf(decl_141,type,
binunionLsub: $o ).
thf(decl_142,type,
binunionRsub: $o ).
thf(decl_143,type,
binintersect: $i > $i > $i ).
thf(decl_144,type,
binintersectI: $o ).
thf(decl_145,type,
binintersectSubset5: $o ).
thf(decl_146,type,
binintersectEL: $o ).
thf(decl_147,type,
binintersectLsub: $o ).
thf(decl_148,type,
binintersectSubset2: $o ).
thf(decl_149,type,
binintersectSubset3: $o ).
thf(decl_150,type,
binintersectER: $o ).
thf(decl_151,type,
disjointsetsI1: $o ).
thf(decl_152,type,
binintersectRsub: $o ).
thf(decl_153,type,
binintersectSubset4: $o ).
thf(decl_154,type,
binintersectSubset1: $o ).
thf(decl_155,type,
bs114d: $o ).
thf(decl_158,type,
setminusI: $o ).
thf(decl_159,type,
setminusEL: $o ).
thf(decl_160,type,
setminusER: $o ).
thf(decl_161,type,
setminusSubset2: $o ).
thf(decl_162,type,
setminusERneg: $o ).
thf(decl_163,type,
setminusELneg: $o ).
thf(decl_164,type,
setminusILneg: $o ).
thf(decl_165,type,
setminusIRneg: $o ).
thf(decl_166,type,
setminusLsub: $o ).
thf(decl_167,type,
setminusSubset1: $o ).
thf(decl_169,type,
symdiffE: $o ).
thf(decl_170,type,
symdiffI1: $o ).
thf(decl_171,type,
symdiffI2: $o ).
thf(decl_172,type,
symdiffIneg1: $o ).
thf(decl_173,type,
symdiffIneg2: $o ).
thf(decl_175,type,
secondinupair: $o ).
thf(decl_176,type,
setukpairIL: $o ).
thf(decl_177,type,
setukpairIR: $o ).
thf(decl_178,type,
kpairiskpair: $o ).
thf(decl_180,type,
kpairp: $o ).
thf(decl_182,type,
singletonsubset: $o ).
thf(decl_183,type,
singletoninpowerset: $o ).
thf(decl_184,type,
singletoninpowunion: $o ).
thf(decl_185,type,
upairset2E: $o ).
thf(decl_186,type,
upairsubunion: $o ).
thf(decl_187,type,
upairinpowunion: $o ).
thf(decl_188,type,
ubforcartprodlem1: $o ).
thf(decl_189,type,
ubforcartprodlem2: $o ).
thf(decl_190,type,
ubforcartprodlem3: $o ).
thf(decl_191,type,
cartprodpairin: $o ).
thf(decl_192,type,
cartprodmempair1: $o ).
thf(decl_193,type,
cartprodmempair: $o ).
thf(decl_194,type,
setunionE2: $o ).
thf(decl_195,type,
setunionsingleton1: $o ).
thf(decl_196,type,
setunionsingleton2: $o ).
thf(decl_197,type,
setunionsingleton: $o ).
thf(decl_199,type,
singletonprop: $o ).
thf(decl_201,type,
ex1E1: $o ).
thf(decl_202,type,
ex1I: $o ).
thf(decl_203,type,
ex1I2: $o ).
thf(decl_204,type,
singletonsuniq: $o ).
thf(decl_209,type,
setukpairinjL1: $o ).
thf(decl_210,type,
kfstsingleton: $o ).
thf(decl_211,type,
theprop: $o ).
thf(decl_213,type,
kfstpairEq: $o ).
thf(decl_214,type,
cartprodfstin: $o ).
thf(decl_215,type,
setukpairinjL2: $o ).
thf(decl_216,type,
setukpairinjL: $o ).
thf(decl_217,type,
setukpairinjR11: $o ).
thf(decl_218,type,
setukpairinjR12: $o ).
thf(decl_219,type,
setukpairinjR1: $o ).
thf(decl_220,type,
upairequniteq: $o ).
thf(decl_221,type,
setukpairinjR2: $o ).
thf(decl_222,type,
setukpairinjR: $o ).
thf(decl_223,type,
ksndsingleton: $o ).
thf(decl_225,type,
ksndpairEq: $o ).
thf(decl_226,type,
kpairsurjEq: $o ).
thf(decl_227,type,
cartprodsndin: $o ).
thf(decl_228,type,
cartprodpairmemEL: $o ).
thf(decl_229,type,
cartprodpairmemER: $o ).
thf(decl_230,type,
cartprodmempaircEq: $o ).
thf(decl_231,type,
cartprodfstpairEq: $o ).
thf(decl_232,type,
cartprodsndpairEq: $o ).
thf(decl_233,type,
cartprodpairsurjEq: $o ).
thf(decl_236,type,
dpsetconstrI: $o ).
thf(decl_237,type,
dpsetconstrSub: $o ).
thf(decl_238,type,
setOfPairsIsBReln: $o ).
thf(decl_239,type,
dpsetconstrERa: $o ).
thf(decl_240,type,
dpsetconstrEL1: $o ).
thf(decl_241,type,
dpsetconstrEL2: $o ).
thf(decl_242,type,
dpsetconstrER: $o ).
thf(decl_245,type,
funcImageSingleton: $o ).
thf(decl_246,type,
apProp: $o ).
thf(decl_248,type,
app: $o ).
thf(decl_249,type,
infuncsetfunc: $o ).
thf(decl_250,type,
ap2p: $o ).
thf(decl_251,type,
funcinfuncset: $o ).
thf(decl_252,type,
lamProp: $o ).
thf(decl_254,type,
lamp: $o ).
thf(decl_255,type,
lam2p: $o ).
thf(decl_256,type,
brelnall1: $o ).
thf(decl_257,type,
brelnall2: $o ).
thf(decl_258,type,
ex1E2: $o ).
thf(decl_259,type,
funcGraphProp1: $o ).
thf(decl_260,type,
funcGraphProp3: $o ).
thf(decl_261,type,
funcGraphProp2: $o ).
thf(decl_262,type,
funcextLem: $o ).
thf(decl_263,type,
funcGraphProp4: $o ).
thf(decl_264,type,
subbreln: $o ).
thf(decl_265,type,
eqbreln: $o ).
thf(decl_266,type,
funcext: $o ).
thf(decl_267,type,
funcext2: $o ).
thf(decl_268,type,
ap2apEq1: $o ).
thf(decl_269,type,
ap2apEq2: $o ).
thf(decl_270,type,
beta1: $o ).
thf(decl_271,type,
eta1: $o ).
thf(decl_272,type,
lam2lamEq: $o ).
thf(decl_273,type,
beta2: $o ).
thf(decl_274,type,
eta2: $o ).
thf(decl_275,type,
iffalseProp1: $o ).
thf(decl_276,type,
iffalseProp2: $o ).
thf(decl_277,type,
iftrueProp1: $o ).
thf(decl_278,type,
iftrueProp2: $o ).
thf(decl_279,type,
ifSingleton: $o ).
thf(decl_281,type,
ifp: $o ).
thf(decl_282,type,
theeq: $o ).
thf(decl_283,type,
iftrue: $o ).
thf(decl_284,type,
iffalse: $o ).
thf(decl_285,type,
iftrueorfalse: $o ).
thf(decl_286,type,
binintersectT_lem: $o ).
thf(decl_287,type,
binunionT_lem: $o ).
thf(decl_288,type,
powersetT_lem: $o ).
thf(decl_289,type,
setminusT_lem: $o ).
thf(decl_290,type,
complementT_lem: $o ).
thf(decl_291,type,
setextT: $o ).
thf(decl_292,type,
subsetTI: $o ).
thf(decl_293,type,
powersetTI1: $o ).
thf(decl_294,type,
powersetTE1: $o ).
thf(decl_295,type,
complementTI1: $o ).
thf(decl_296,type,
complementTE1: $o ).
thf(decl_297,type,
binintersectTELcontra: $o ).
thf(decl_298,type,
binintersectTERcontra: $o ).
thf(decl_299,type,
contrasubsetT: $o ).
thf(decl_300,type,
contrasubsetT1: $o ).
thf(decl_301,type,
contrasubsetT2: $o ).
thf(decl_302,type,
contrasubsetT3: $o ).
thf(decl_303,type,
doubleComplementI1: $o ).
thf(decl_304,type,
doubleComplementE1: $o ).
thf(decl_305,type,
doubleComplementSub1: $o ).
thf(decl_306,type,
doubleComplementSub2: $o ).
thf(decl_307,type,
doubleComplementEq: $o ).
thf(decl_308,type,
complementTnotintersectT: $o ).
thf(decl_309,type,
complementImpComplementIntersect: $o ).
thf(decl_310,type,
complementSubsetComplementIntersect: $o ).
thf(decl_311,type,
complementInPowersetComplementIntersect: $o ).
thf(decl_312,type,
contraSubsetComplement: $o ).
thf(decl_313,type,
complementTcontraSubset: $o ).
thf(decl_314,type,
binunionTILcontra: $o ).
thf(decl_315,type,
binunionTIRcontra: $o ).
thf(decl_316,type,
inIntersectImpInUnion: $o ).
thf(decl_317,type,
inIntersectImpInUnion2: $o ).
thf(decl_318,type,
inIntersectImpInIntersectUnions: $o ).
thf(decl_319,type,
intersectInPowersetIntersectUnions: $o ).
thf(decl_320,type,
inComplementUnionImpNotIn1: $o ).
thf(decl_321,type,
inComplementUnionImpInComplement1: $o ).
thf(decl_322,type,
binunionTE: $o ).
thf(decl_323,type,
binunionTEcontra: $o ).
thf(decl_324,type,
demorgan2a1: $o ).
thf(decl_325,type,
complementUnionInPowersetComplement: $o ).
thf(decl_326,type,
demorgan2a2: $o ).
thf(decl_327,type,
demorgan1a: $o ).
thf(decl_328,type,
demorgan1b: $o ).
thf(decl_329,type,
demorgan1: $o ).
thf(decl_330,type,
demorgan2a: $o ).
thf(decl_331,type,
demorgan2b2: $o ).
thf(decl_332,type,
demorgan2b: $o ).
thf(decl_333,type,
demorgan2: $o ).
thf(decl_334,type,
woz13rule0: $o ).
thf(decl_335,type,
woz13rule1: $o ).
thf(decl_336,type,
woz13rule2: $o ).
thf(decl_337,type,
woz13rule3: $o ).
thf(decl_338,type,
woz13rule4: $o ).
thf(decl_339,type,
woz1_1: $o ).
thf(decl_340,type,
woz1_2: $o ).
thf(decl_341,type,
woz1_3: $o ).
thf(decl_342,type,
woz1_4: $o ).
thf(decl_343,type,
woz1_5: $o ).
thf(decl_345,type,
breln1all2: $o ).
thf(decl_347,type,
breln1SetBreln1: $o ).
thf(decl_354,type,
choice2fnsingleton: $o ).
thf(decl_355,type,
setOfPairsIsBReln1: $o ).
thf(decl_356,type,
breln1all1: $o ).
thf(decl_357,type,
subbreln1: $o ).
thf(decl_358,type,
eqbreln1: $o ).
thf(decl_360,type,
breln1invprop: $o ).
thf(decl_361,type,
breln1invI: $o ).
thf(decl_362,type,
breln1invE: $o ).
thf(decl_364,type,
breln1compprop: $o ).
thf(decl_365,type,
breln1compI: $o ).
thf(decl_366,type,
breln1compE: $o ).
thf(decl_367,type,
breln1compEex: $o ).
thf(decl_368,type,
breln1unionprop: $o ).
thf(decl_369,type,
breln1unionIL: $o ).
thf(decl_370,type,
breln1unionIR: $o ).
thf(decl_371,type,
breln1unionI: $o ).
thf(decl_372,type,
breln1unionE: $o ).
thf(decl_373,type,
breln1unionEcases: $o ).
thf(decl_374,type,
breln1unionCommutes: $o ).
thf(decl_375,type,
woz2Ex: $o ).
thf(decl_376,type,
woz2W: $o ).
thf(decl_377,type,
woz2A: $o ).
thf(decl_378,type,
woz2B: $o ).
thf(decl_379,type,
image1Ex: $o ).
thf(decl_380,type,
image1Ex1: $o ).
thf(decl_382,type,
image1Equiv: $o ).
thf(decl_383,type,
image1E: $o ).
thf(decl_384,type,
image1I: $o ).
thf(decl_387,type,
injFuncInInjFuncSet: $o ).
thf(decl_388,type,
injFuncSetFuncIn: $o ).
thf(decl_389,type,
injFuncSetFuncInj: $o ).
thf(decl_392,type,
surjFuncSetFuncIn: $o ).
thf(decl_393,type,
surjFuncSetFuncSurj: $o ).
thf(decl_394,type,
leftInvIsSurj: $o ).
thf(decl_395,type,
surjCantorThm: $o ).
thf(decl_396,type,
foundation2: $o ).
thf(decl_397,type,
notinself: $o ).
thf(decl_398,type,
notinself2: $o ).
thf(decl_400,type,
omegaSp: $o ).
thf(decl_401,type,
omegaSclos: $o ).
thf(decl_402,type,
peano0notS: $o ).
thf(decl_406,type,
peanoSinj: $o ).
thf(decl_408,type,
transitiveset: $i > $o ).
thf(decl_409,type,
transitivesetOp1: $o ).
thf(decl_410,type,
binintTransitive: $o ).
thf(decl_411,type,
transitivesetOp2: $o ).
thf(decl_412,type,
setunionTransitive: $o ).
thf(decl_413,type,
stricttotalorderedByIn: $i > $o ).
thf(decl_414,type,
wellorderedByIn: $i > $o ).
thf(decl_415,type,
ordinal: $i > $o ).
thf(decl_417,type,
ordinalMinLem1: $o ).
thf(decl_418,type,
ordinalTransSet: $o ).
thf(decl_419,type,
ordinalTransSet1: $o ).
thf(decl_420,type,
setunionOrdinalLem1: $o ).
thf(decl_422,type,
emptysetOrdinal: $o ).
thf(decl_423,type,
ordinalIrrefl: $o ).
thf(decl_424,type,
ordinalIrrefl2: $o ).
thf(decl_425,type,
ordinalNoCycle: $o ).
thf(decl_426,type,
epred1_1: $i > $o ).
thf(decl_427,type,
epred2_1: $i > $o ).
thf(decl_428,type,
epred3_1: $i > $o ).
thf(decl_429,type,
epred4_1: $i > $o ).
thf(decl_430,type,
esk1_1: $i > $i ).
thf(decl_431,type,
esk2_1: $i > $i ).
thf(decl_432,type,
esk3_1: $i > $i ).
thf(decl_433,type,
esk4_1: $i > $i ).
thf(decl_434,type,
esk5_1: $i > $i ).
thf(decl_435,type,
esk6_1: $i > $i ).
thf(decl_436,type,
esk7_2: $i > $i > $i ).
thf(decl_437,type,
esk8_2: $i > $i > $i ).
thf(decl_438,type,
esk9_2: $i > $i > $i ).
thf(decl_439,type,
esk10_3: $i > $i > $i > $i ).
thf(decl_440,type,
esk11_1: $i > $i ).
thf(decl_441,type,
esk12_1: $i > $i ).
thf(decl_442,type,
esk13_1: $i > $i ).
thf(decl_443,type,
esk14_2: $i > $i > $i ).
thf(decl_444,type,
esk15_0: $i ).
thf(decl_445,type,
esk16_0: $i ).
thf(decl_446,type,
esk17_0: $i ).
thf(decl_447,type,
esk18_0: $i ).
thf(decl_463,type,
esk34_2: $i > $i > $i ).
thf(wellorderedByIn,axiom,
( wellorderedByIn
= ( ^ [X4: $i] :
( ( stricttotalorderedByIn @ X4 )
& ! [X21: $i] :
( ( in @ X21 @ ( powerset @ X4 ) )
=> ( ( nonempty @ X21 )
=> ? [X2: $i] :
( ( in @ X2 @ X21 )
& ! [X48: $i] :
( ( in @ X48 @ X21 )
=> ( ( X2 = X48 )
| ( in @ X2 @ X48 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellorderedByIn) ).
thf(stricttotalorderedByIn,axiom,
( stricttotalorderedByIn
= ( ^ [X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ! [X21: $i] :
( ( in @ X21 @ X4 )
=> ! [X48: $i] :
( ( in @ X48 @ X4 )
=> ( ( ( in @ X2 @ X21 )
& ( in @ X21 @ X48 ) )
=> ( in @ X2 @ X48 ) ) ) ) )
& ! [X21: $i] :
( ( in @ X21 @ X4 )
=> ! [X48: $i] :
( ( in @ X48 @ X4 )
=> ( ( X21 = X48 )
| ( in @ X21 @ X48 )
| ( in @ X48 @ X21 ) ) ) )
& ! [X21: $i] :
( ( in @ X21 @ X4 )
=> ~ ( in @ X21 @ X21 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stricttotalorderedByIn) ).
thf(ordinal,axiom,
( ordinal
= ( ^ [X2: $i] :
( ( transitiveset @ X2 )
& ( wellorderedByIn @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinal) ).
thf(nonemptyI,axiom,
( nonemptyI
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( nonempty
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyI) ).
thf(setunionOrdinalLem1,axiom,
( setunionOrdinalLem1
<=> ! [X21: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X21 )
=> ( ordinal @ X2 ) )
=> ( transitiveset @ ( setunion @ X21 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionOrdinalLem1) ).
thf(ordinalMinLem1,axiom,
( ordinalMinLem1
<=> ! [X21: $i] :
( ( ordinal @ X21 )
=> ! [X48: $i] :
( ( ordinal @ X48 )
=> ( transitiveset @ ( binintersect @ X21 @ X48 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinalMinLem1) ).
thf(ordinalTransIn,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
=> ( transitivesetOp2
=> ( setunionTransitive
=> ( ordinalMinLem1
=> ( ordinalTransSet
=> ( ordinalTransSet1
=> ( setunionOrdinalLem1
=> ( emptysetOrdinal
=> ( ordinalIrrefl
=> ( ordinalIrrefl2
=> ( ordinalNoCycle
=> ! [X21: $i] :
( ( ordinal @ X21 )
=> ! [X2: $i,X4: $i,X5: $i] :
( ( in @ X2 @ X4 )
=> ( ( in @ X4 @ X5 )
=> ( ( in @ X5 @ X21 )
=> ( in @ X2 @ X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinalTransIn) ).
thf(foundation2,axiom,
( foundation2
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X21: $i] :
( ( in @ X21 @ X4 )
& ( ( binintersect @ X21 @ X4 )
= emptyset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',foundation2) ).
thf(nonemptyImpWitness,axiom,
( nonemptyImpWitness
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] :
( ( in @ X2 @ X4 )
& $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyImpWitness) ).
thf(nonemptyI1,axiom,
( nonemptyI1
<=> ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( nonempty @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyI1) ).
thf(nonemptyE1,axiom,
( nonemptyE1
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyE1) ).
thf(setunionTransitive,axiom,
( setunionTransitive
<=> ! [X21: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X21 )
=> ( transitiveset @ X2 ) )
=> ( transitiveset @ ( setunion @ X21 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionTransitive) ).
thf(transitivesetOp2,axiom,
( transitivesetOp2
<=> ! [X21: $i] :
( ( transitiveset @ X21 )
=> ! [X4: $i,X2: $i] :
( ( in @ X4 @ X21 )
=> ( ( in @ X2 @ X4 )
=> ( in @ X2 @ X21 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivesetOp2) ).
thf(binintTransitive,axiom,
( binintTransitive
<=> ! [X21: $i] :
( ( transitiveset @ X21 )
=> ! [X48: $i] :
( ( transitiveset @ X48 )
=> ( transitiveset @ ( binintersect @ X21 @ X48 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintTransitive) ).
thf(transitivesetOp1,axiom,
( transitivesetOp1
<=> ! [X21: $i] :
( ( transitiveset @ X21 )
=> ! [X4: $i] :
( ( in @ X4 @ X21 )
=> ( subset @ X4 @ X21 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivesetOp1) ).
thf(c_0_15,plain,
( wellorderedByIn
= ( ^ [Z0: $i] :
( ! [X91: $i] :
( ( in @ X91 @ Z0 )
=> ! [X92: $i] :
( ( in @ X92 @ Z0 )
=> ! [X93: $i] :
( ( in @ X93 @ Z0 )
=> ( ( ( in @ X91 @ X92 )
& ( in @ X92 @ X93 ) )
=> ( in @ X91 @ X93 ) ) ) ) )
& ! [X94: $i] :
( ( in @ X94 @ Z0 )
=> ! [X95: $i] :
( ( in @ X95 @ Z0 )
=> ( ( X94 = X95 )
| ( in @ X94 @ X95 )
| ( in @ X95 @ X94 ) ) ) )
& ! [X96: $i] :
( ( in @ X96 @ Z0 )
=> ~ ( in @ X96 @ X96 ) )
& ! [X21: $i] :
( ( in @ X21 @ ( powerset @ Z0 ) )
=> ( ( nonempty @ X21 )
=> ? [X2: $i] :
( ( in @ X2 @ X21 )
& ! [X48: $i] :
( ( in @ X48 @ X21 )
=> ( ( X2 = X48 )
| ( in @ X2 @ X48 ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[wellorderedByIn]) ).
thf(c_0_16,plain,
( stricttotalorderedByIn
= ( ^ [Z0: $i] :
( ! [X2: $i] :
( ( in @ X2 @ Z0 )
=> ! [X21: $i] :
( ( in @ X21 @ Z0 )
=> ! [X48: $i] :
( ( in @ X48 @ Z0 )
=> ( ( ( in @ X2 @ X21 )
& ( in @ X21 @ X48 ) )
=> ( in @ X2 @ X48 ) ) ) ) )
& ! [X21: $i] :
( ( in @ X21 @ Z0 )
=> ! [X48: $i] :
( ( in @ X48 @ Z0 )
=> ( ( X21 = X48 )
| ( in @ X21 @ X48 )
| ( in @ X48 @ X21 ) ) ) )
& ! [X21: $i] :
( ( in @ X21 @ Z0 )
=> ~ ( in @ X21 @ X21 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[stricttotalorderedByIn]) ).
thf(c_0_17,plain,
( ordinal
= ( ^ [Z0: $i] :
( ( transitiveset @ Z0 )
& ! [X97: $i] :
( ( in @ X97 @ Z0 )
=> ! [X98: $i] :
( ( in @ X98 @ Z0 )
=> ! [X99: $i] :
( ( in @ X99 @ Z0 )
=> ( ( ( in @ X97 @ X98 )
& ( in @ X98 @ X99 ) )
=> ( in @ X97 @ X99 ) ) ) ) )
& ! [X100: $i] :
( ( in @ X100 @ Z0 )
=> ! [X101: $i] :
( ( in @ X101 @ Z0 )
=> ( ( X100 = X101 )
| ( in @ X100 @ X101 )
| ( in @ X101 @ X100 ) ) ) )
& ! [X102: $i] :
( ( in @ X102 @ Z0 )
=> ~ ( in @ X102 @ X102 ) )
& ! [X103: $i] :
( ( in @ X103 @ ( powerset @ Z0 ) )
=> ( ( nonempty @ X103 )
=> ? [X104: $i] :
( ( in @ X104 @ X103 )
& ! [X105: $i] :
( ( in @ X105 @ X103 )
=> ( ( X104 = X105 )
| ( in @ X104 @ X105 ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[ordinal]) ).
thf(c_0_18,plain,
( wellorderedByIn
= ( ^ [Z0: $i] :
( ! [X91: $i] :
( ( in @ X91 @ Z0 )
=> ! [X92: $i] :
( ( in @ X92 @ Z0 )
=> ! [X93: $i] :
( ( in @ X93 @ Z0 )
=> ( ( ( in @ X91 @ X92 )
& ( in @ X92 @ X93 ) )
=> ( in @ X91 @ X93 ) ) ) ) )
& ! [X94: $i] :
( ( in @ X94 @ Z0 )
=> ! [X95: $i] :
( ( in @ X95 @ Z0 )
=> ( ( X94 = X95 )
| ( in @ X94 @ X95 )
| ( in @ X95 @ X94 ) ) ) )
& ! [X96: $i] :
( ( in @ X96 @ Z0 )
=> ~ ( in @ X96 @ X96 ) )
& ! [X21: $i] :
( ( in @ X21 @ ( powerset @ Z0 ) )
=> ( ( nonempty @ X21 )
=> ? [X2: $i] :
( ( in @ X2 @ X21 )
& ! [X48: $i] :
( ( in @ X48 @ X21 )
=> ( ( X2 = X48 )
| ( in @ X2 @ X48 ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_19,plain,
( ordinal
= ( ^ [Z0: $i] :
( ( transitiveset @ Z0 )
& ! [X97: $i] :
( ( in @ X97 @ Z0 )
=> ! [X98: $i] :
( ( in @ X98 @ Z0 )
=> ! [X99: $i] :
( ( in @ X99 @ Z0 )
=> ( ( ( in @ X97 @ X98 )
& ( in @ X98 @ X99 ) )
=> ( in @ X97 @ X99 ) ) ) ) )
& ! [X100: $i] :
( ( in @ X100 @ Z0 )
=> ! [X101: $i] :
( ( in @ X101 @ Z0 )
=> ( ( X100 = X101 )
| ( in @ X100 @ X101 )
| ( in @ X101 @ X100 ) ) ) )
& ! [X102: $i] :
( ( in @ X102 @ Z0 )
=> ~ ( in @ X102 @ X102 ) )
& ! [X103: $i] :
( ( in @ X103 @ ( powerset @ Z0 ) )
=> ( ( nonempty @ X103 )
=> ? [X104: $i] :
( ( in @ X104 @ X103 )
& ! [X105: $i] :
( ( in @ X105 @ X103 )
=> ( ( X104 = X105 )
| ( in @ X104 @ X105 ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_20,plain,
( nonemptyI
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( nonempty
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[nonemptyI]) ).
thf(c_0_21,axiom,
( setunionOrdinalLem1
= ( ! [X21: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X21 )
=> ( ( transitiveset @ X2 )
& ! [X124: $i] :
( ( in @ X124 @ X2 )
=> ! [X125: $i] :
( ( in @ X125 @ X2 )
=> ! [X126: $i] :
( ( in @ X126 @ X2 )
=> ( ( ( in @ X124 @ X125 )
& ( in @ X125 @ X126 ) )
=> ( in @ X124 @ X126 ) ) ) ) )
& ! [X127: $i] :
( ( in @ X127 @ X2 )
=> ! [X128: $i] :
( ( in @ X128 @ X2 )
=> ( ( X127 = X128 )
| ( in @ X127 @ X128 )
| ( in @ X128 @ X127 ) ) ) )
& ! [X129: $i] :
( ( in @ X129 @ X2 )
=> ~ ( in @ X129 @ X129 ) )
& ! [X130: $i] :
( ( in @ X130 @ ( powerset @ X2 ) )
=> ( ( nonempty @ X130 )
=> ? [X131: $i] :
( ( in @ X131 @ X130 )
& ! [X132: $i] :
( ( in @ X132 @ X130 )
=> ( ( X131 = X132 )
| ( in @ X131 @ X132 ) ) ) ) ) ) ) )
=> ( transitiveset @ ( setunion @ X21 ) ) ) ) ),
inference(apply_def,[status(thm)],[setunionOrdinalLem1,c_0_19]) ).
thf(c_0_22,axiom,
( ordinalMinLem1
= ( ! [X21: $i] :
( ( ( transitiveset @ X21 )
& ! [X106: $i] :
( ( in @ X106 @ X21 )
=> ! [X107: $i] :
( ( in @ X107 @ X21 )
=> ! [X108: $i] :
( ( in @ X108 @ X21 )
=> ( ( ( in @ X106 @ X107 )
& ( in @ X107 @ X108 ) )
=> ( in @ X106 @ X108 ) ) ) ) )
& ! [X109: $i] :
( ( in @ X109 @ X21 )
=> ! [X110: $i] :
( ( in @ X110 @ X21 )
=> ( ( X109 = X110 )
| ( in @ X109 @ X110 )
| ( in @ X110 @ X109 ) ) ) )
& ! [X111: $i] :
( ( in @ X111 @ X21 )
=> ~ ( in @ X111 @ X111 ) )
& ! [X112: $i] :
( ( in @ X112 @ ( powerset @ X21 ) )
=> ( ( nonempty @ X112 )
=> ? [X113: $i] :
( ( in @ X113 @ X112 )
& ! [X114: $i] :
( ( in @ X114 @ X112 )
=> ( ( X113 = X114 )
| ( in @ X113 @ X114 ) ) ) ) ) ) )
=> ! [X48: $i] :
( ( ( transitiveset @ X48 )
& ! [X115: $i] :
( ( in @ X115 @ X48 )
=> ! [X116: $i] :
( ( in @ X116 @ X48 )
=> ! [X117: $i] :
( ( in @ X117 @ X48 )
=> ( ( ( in @ X115 @ X116 )
& ( in @ X116 @ X117 ) )
=> ( in @ X115 @ X117 ) ) ) ) )
& ! [X118: $i] :
( ( in @ X118 @ X48 )
=> ! [X119: $i] :
( ( in @ X119 @ X48 )
=> ( ( X118 = X119 )
| ( in @ X118 @ X119 )
| ( in @ X119 @ X118 ) ) ) )
& ! [X120: $i] :
( ( in @ X120 @ X48 )
=> ~ ( in @ X120 @ X120 ) )
& ! [X121: $i] :
( ( in @ X121 @ ( powerset @ X48 ) )
=> ( ( nonempty @ X121 )
=> ? [X122: $i] :
( ( in @ X122 @ X121 )
& ! [X123: $i] :
( ( in @ X123 @ X121 )
=> ( ( X122 = X123 )
| ( in @ X122 @ X123 ) ) ) ) ) ) )
=> ( transitiveset @ ( binintersect @ X21 @ X48 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[ordinalMinLem1,c_0_19]) ).
thf(c_0_23,plain,
! [X153: $i] :
( ( epred1_1 @ X153 )
<=> ( ! [X154: $i] :
( ( in @ X154 @ X153 )
=> ! [X155: $i] :
( ( in @ X155 @ X153 )
=> ! [X156: $i] :
( ( in @ X156 @ X153 )
=> ( ( ( in @ X154 @ X155 )
& ( in @ X155 @ X156 ) )
=> ( in @ X154 @ X156 ) ) ) ) )
& ! [X157: $i] :
( ( in @ X157 @ X153 )
=> ! [X158: $i] :
( ( in @ X158 @ X153 )
=> ( ( X157 = X158 )
| ( in @ X157 @ X158 )
| ( in @ X158 @ X157 ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_24,plain,
! [X163: $i] :
( ( epred2_1 @ X163 )
<=> ( ! [X164: $i] :
( ( in @ X164 @ X163 )
=> ! [X165: $i] :
( ( in @ X165 @ X163 )
=> ! [X166: $i] :
( ( in @ X166 @ X163 )
=> ( ( ( in @ X164 @ X165 )
& ( in @ X165 @ X166 ) )
=> ( in @ X164 @ X166 ) ) ) ) )
& ! [X167: $i] :
( ( in @ X167 @ X163 )
=> ! [X168: $i] :
( ( in @ X168 @ X163 )
=> ( ( X167 = X168 )
| ( in @ X167 @ X168 )
| ( in @ X168 @ X167 ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_25,plain,
! [X174: $i] :
( ( epred3_1 @ X174 )
<=> ( ! [X175: $i] :
( ( in @ X175 @ X174 )
=> ! [X176: $i] :
( ( in @ X176 @ X174 )
=> ! [X177: $i] :
( ( in @ X177 @ X174 )
=> ( ( ( in @ X175 @ X176 )
& ( in @ X176 @ X177 ) )
=> ( in @ X175 @ X177 ) ) ) ) )
& ! [X178: $i] :
( ( in @ X178 @ X174 )
=> ! [X179: $i] :
( ( in @ X179 @ X174 )
=> ( ( X178 = X179 )
| ( in @ X178 @ X179 )
| ( in @ X179 @ X178 ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_26,plain,
! [X21: $i] :
( ( epred4_1 @ X21 )
<=> ( ( transitiveset @ X21 )
& ! [X184: $i] :
( ( in @ X184 @ X21 )
=> ! [X185: $i] :
( ( in @ X185 @ X21 )
=> ! [X186: $i] :
( ( in @ X186 @ X21 )
=> ( ( ( in @ X184 @ X185 )
& ( in @ X185 @ X186 ) )
=> ( in @ X184 @ X186 ) ) ) ) )
& ! [X187: $i] :
( ( in @ X187 @ X21 )
=> ! [X188: $i] :
( ( in @ X188 @ X21 )
=> ( ( X187 = X188 )
| ( in @ X187 @ X188 )
| ( in @ X188 @ X187 ) ) ) )
& ! [X189: $i] :
( ( in @ X189 @ X21 )
=> ~ ( in @ X189 @ X189 ) )
& ! [X190: $i] :
( ( in @ X190 @ ( powerset @ X21 ) )
=> ( ( nonempty @ X190 )
=> ? [X191: $i] :
( ( in @ X191 @ X190 )
& ! [X192: $i] :
( ( in @ X192 @ X190 )
=> ( ( X191 = X192 )
| ( in @ X191 @ X192 ) ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_27,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
=> ( ! [X133: $i] :
( ( nonempty @ X133 )
=> ? [X134: $i] : ( in @ X134 @ X133 ) )
=> ( ! [X135: $i,X136: $i > $o,X137: $i] :
( ( in @ X137 @ X135 )
=> ( ( X136 @ X137 )
=> ( nonempty @ ( dsetconstr @ X135 @ X136 ) ) ) )
=> ( ! [X138: $i] :
( ? [X139: $i] : ( in @ X139 @ X138 )
=> ( nonempty @ X138 ) )
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( ! [X140: $i] :
( ( nonempty @ X140 )
=> ? [X141: $i] :
( ( in @ X141 @ X140 )
& $true ) )
=> ( 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
=> ( ! [X142: $i] :
( ( nonempty @ X142 )
=> ? [X143: $i] :
( ( in @ X143 @ X142 )
& ( ( binintersect @ X143 @ X142 )
= emptyset ) ) )
=> ( notinself
=> ( notinself2
=> ( omegaSp
=> ( omegaSclos
=> ( peano0notS
=> ( peanoSinj
=> ( ! [X144: $i] :
( ( transitiveset @ X144 )
=> ! [X145: $i] :
( ( in @ X145 @ X144 )
=> ( subset @ X145 @ X144 ) ) )
=> ( ! [X146: $i] :
( ( transitiveset @ X146 )
=> ! [X147: $i] :
( ( transitiveset @ X147 )
=> ( transitiveset @ ( binintersect @ X146 @ X147 ) ) ) )
=> ( ! [X148: $i] :
( ( transitiveset @ X148 )
=> ! [X149: $i,X150: $i] :
( ( in @ X149 @ X148 )
=> ( ( in @ X150 @ X149 )
=> ( in @ X150 @ X148 ) ) ) )
=> ( ! [X151: $i] :
( ! [X152: $i] :
( ( in @ X152 @ X151 )
=> ( transitiveset @ X152 ) )
=> ( transitiveset @ ( setunion @ X151 ) ) )
=> ( ! [X153: $i] :
( ( ( transitiveset @ X153 )
& ( epred1_1 @ X153 )
& ! [X159: $i] :
( ( in @ X159 @ X153 )
=> ~ ( in @ X159 @ X159 ) )
& ! [X160: $i] :
( ( in @ X160 @ ( powerset @ X153 ) )
=> ( ( nonempty @ X160 )
=> ? [X161: $i] :
( ( in @ X161 @ X160 )
& ! [X162: $i] :
( ( in @ X162 @ X160 )
=> ( ( X161 = X162 )
| ( in @ X161 @ X162 ) ) ) ) ) ) )
=> ! [X163: $i] :
( ( ( transitiveset @ X163 )
& ( epred2_1 @ X163 )
& ! [X169: $i] :
( ( in @ X169 @ X163 )
=> ~ ( in @ X169 @ X169 ) )
& ! [X170: $i] :
( ( in @ X170 @ ( powerset @ X163 ) )
=> ( ( nonempty @ X170 )
=> ? [X171: $i] :
( ( in @ X171 @ X170 )
& ! [X172: $i] :
( ( in @ X172 @ X170 )
=> ( ( X171 = X172 )
| ( in @ X171 @ X172 ) ) ) ) ) ) )
=> ( transitiveset @ ( binintersect @ X153 @ X163 ) ) ) )
=> ( ordinalTransSet
=> ( ordinalTransSet1
=> ( ! [X173: $i] :
( ! [X174: $i] :
( ( in @ X174 @ X173 )
=> ( ( transitiveset @ X174 )
& ( epred3_1 @ X174 )
& ! [X180: $i] :
( ( in @ X180 @ X174 )
=> ~ ( in @ X180 @ X180 ) )
& ! [X181: $i] :
( ( in @ X181 @ ( powerset @ X174 ) )
=> ( ( nonempty @ X181 )
=> ? [X182: $i] :
( ( in @ X182 @ X181 )
& ! [X183: $i] :
( ( in @ X183 @ X181 )
=> ( ( X182 = X183 )
| ( in @ X182 @ X183 ) ) ) ) ) ) ) )
=> ( transitiveset @ ( setunion @ X173 ) ) )
=> ( emptysetOrdinal
=> ( ordinalIrrefl
=> ( ordinalIrrefl2
=> ( ordinalNoCycle
=> ! [X21: $i] :
( ( epred4_1 @ X21 )
=> ! [X2: $i,X4: $i,X5: $i] :
( ( in @ X2 @ X4 )
=> ( ( in @ X4 @ X5 )
=> ( ( in @ X5 @ X21 )
=> ( in @ X2 @ X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[ordinalTransIn]),c_0_19]),foundation2]),nonemptyImpWitness]),nonemptyI1]),c_0_20]),nonemptyE1]),c_0_21]),c_0_22]),setunionTransitive]),transitivesetOp2]),binintTransitive]),transitivesetOp1])])]),c_0_23]),c_0_24]),c_0_25]),c_0_26]) ).
thf(c_0_28,plain,
! [X21: $i] :
( ( epred4_1 @ X21 )
=> ( ( transitiveset @ X21 )
& ! [X184: $i] :
( ( in @ X184 @ X21 )
=> ! [X185: $i] :
( ( in @ X185 @ X21 )
=> ! [X186: $i] :
( ( in @ X186 @ X21 )
=> ( ( ( in @ X184 @ X185 )
& ( in @ X185 @ X186 ) )
=> ( in @ X184 @ X186 ) ) ) ) )
& ! [X187: $i] :
( ( in @ X187 @ X21 )
=> ! [X188: $i] :
( ( in @ X188 @ X21 )
=> ( ( X187 = X188 )
| ( in @ X187 @ X188 )
| ( in @ X188 @ X187 ) ) ) )
& ! [X189: $i] :
( ( in @ X189 @ X21 )
=> ~ ( in @ X189 @ X189 ) )
& ! [X190: $i] :
( ( in @ X190 @ ( powerset @ X21 ) )
=> ( ( nonempty @ X190 )
=> ? [X191: $i] :
( ( in @ X191 @ X190 )
& ! [X192: $i] :
( ( in @ X192 @ X190 )
=> ( ( X191 = X192 )
| ( in @ X191 @ X192 ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_26]) ).
thf(c_0_29,negated_conjecture,
! [X193: $i,X195: $i,X196: $i > $o,X197: $i,X198: $i,X199: $i,X200: $i,X202: $i,X204: $i,X205: $i,X206: $i,X207: $i,X208: $i,X209: $i,X210: $i,X211: $i,X213: $i,X216: $i,X218: $i,X221: $i,X223: $i,X227: $i] :
( 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
& ( ~ ( nonempty @ X193 )
| ( in @ ( esk1_1 @ X193 ) @ X193 ) )
& ( ~ ( in @ X197 @ X195 )
| ~ ( X196 @ X197 )
| ( nonempty @ ( dsetconstr @ X195 @ X196 ) ) )
& ( ~ ( in @ X199 @ X198 )
| ( nonempty @ X198 ) )
& setadjoinIL
& emptyinunitempty
& setadjoinIR
& setadjoinE
& setadjoinOr
& setoftrueEq
& powersetI
& emptyinPowerset
& emptyInPowerset
& powersetE
& setunionI
& setunionE
& subPowSU
& exuE2
& ( ( in @ ( esk2_1 @ X200 ) @ X200 )
| ~ ( nonempty @ X200 ) )
& ( $true
| ~ ( nonempty @ X200 ) )
& 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
& ( ( in @ ( esk3_1 @ X202 ) @ X202 )
| ~ ( nonempty @ X202 ) )
& ( ( ( binintersect @ ( esk3_1 @ X202 ) @ X202 )
= emptyset )
| ~ ( nonempty @ X202 ) )
& notinself
& notinself2
& omegaSp
& omegaSclos
& peano0notS
& peanoSinj
& ( ~ ( transitiveset @ X204 )
| ~ ( in @ X205 @ X204 )
| ( subset @ X205 @ X204 ) )
& ( ~ ( transitiveset @ X206 )
| ~ ( transitiveset @ X207 )
| ( transitiveset @ ( binintersect @ X206 @ X207 ) ) )
& ( ~ ( transitiveset @ X208 )
| ~ ( in @ X209 @ X208 )
| ~ ( in @ X210 @ X209 )
| ( in @ X210 @ X208 ) )
& ( ( in @ ( esk4_1 @ X211 ) @ X211 )
| ( transitiveset @ ( setunion @ X211 ) ) )
& ( ~ ( transitiveset @ ( esk4_1 @ X211 ) )
| ( transitiveset @ ( setunion @ X211 ) ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ X213 )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk6_1 @ X213 ) @ ( powerset @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( nonempty @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( in @ ( esk7_2 @ X213 @ X216 ) @ ( esk6_1 @ X213 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ( X216
!= ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ X218 )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk9_2 @ X213 @ X218 ) @ ( powerset @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( nonempty @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( in @ ( esk10_3 @ X213 @ X218 @ X221 ) @ ( esk9_2 @ X213 @ X218 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ( X221
!= ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ( ~ ( in @ X221 @ ( esk10_3 @ X213 @ X218 @ X221 ) )
| ~ ( in @ X221 @ ( esk9_2 @ X213 @ X218 ) )
| ( in @ ( esk8_2 @ X213 @ X218 ) @ ( esk8_2 @ X213 @ X218 ) )
| ~ ( epred2_1 @ X218 )
| ~ ( transitiveset @ X218 )
| ( transitiveset @ ( binintersect @ X213 @ X218 ) )
| ~ ( in @ X216 @ ( esk7_2 @ X213 @ X216 ) )
| ~ ( in @ X216 @ ( esk6_1 @ X213 ) )
| ( in @ ( esk5_1 @ X213 ) @ ( esk5_1 @ X213 ) )
| ~ ( epred1_1 @ X213 )
| ~ ( transitiveset @ X213 ) )
& ordinalTransSet
& ordinalTransSet1
& ( ( in @ ( esk11_1 @ X223 ) @ X223 )
| ( transitiveset @ ( setunion @ X223 ) ) )
& ( ( in @ ( esk13_1 @ X223 ) @ ( powerset @ ( esk11_1 @ X223 ) ) )
| ( in @ ( esk12_1 @ X223 ) @ ( esk11_1 @ X223 ) )
| ~ ( epred3_1 @ ( esk11_1 @ X223 ) )
| ~ ( transitiveset @ ( esk11_1 @ X223 ) )
| ( transitiveset @ ( setunion @ X223 ) ) )
& ( ( nonempty @ ( esk13_1 @ X223 ) )
| ( in @ ( esk12_1 @ X223 ) @ ( esk11_1 @ X223 ) )
| ~ ( epred3_1 @ ( esk11_1 @ X223 ) )
| ~ ( transitiveset @ ( esk11_1 @ X223 ) )
| ( transitiveset @ ( setunion @ X223 ) ) )
& ( ( in @ ( esk14_2 @ X223 @ X227 ) @ ( esk13_1 @ X223 ) )
| ~ ( in @ X227 @ ( esk13_1 @ X223 ) )
| ( in @ ( esk12_1 @ X223 ) @ ( esk11_1 @ X223 ) )
| ~ ( epred3_1 @ ( esk11_1 @ X223 ) )
| ~ ( transitiveset @ ( esk11_1 @ X223 ) )
| ( transitiveset @ ( setunion @ X223 ) ) )
& ( ( X227
!= ( esk14_2 @ X223 @ X227 ) )
| ~ ( in @ X227 @ ( esk13_1 @ X223 ) )
| ( in @ ( esk12_1 @ X223 ) @ ( esk11_1 @ X223 ) )
| ~ ( epred3_1 @ ( esk11_1 @ X223 ) )
| ~ ( transitiveset @ ( esk11_1 @ X223 ) )
| ( transitiveset @ ( setunion @ X223 ) ) )
& ( ~ ( in @ X227 @ ( esk14_2 @ X223 @ X227 ) )
| ~ ( in @ X227 @ ( esk13_1 @ X223 ) )
| ( in @ ( esk12_1 @ X223 ) @ ( esk11_1 @ X223 ) )
| ~ ( epred3_1 @ ( esk11_1 @ X223 ) )
| ~ ( transitiveset @ ( esk11_1 @ X223 ) )
| ( transitiveset @ ( setunion @ X223 ) ) )
& ( ( in @ ( esk13_1 @ X223 ) @ ( powerset @ ( esk11_1 @ X223 ) ) )
| ( in @ ( esk12_1 @ X223 ) @ ( esk12_1 @ X223 ) )
| ~ ( epred3_1 @ ( esk11_1 @ X223 ) )
| ~ ( transitiveset @ ( esk11_1 @ X223 ) )
| ( transitiveset @ ( setunion @ X223 ) ) )
& ( ( nonempty @ ( esk13_1 @ X223 ) )
| ( in @ ( esk12_1 @ X223 ) @ ( esk12_1 @ X223 ) )
| ~ ( epred3_1 @ ( esk11_1 @ X223 ) )
| ~ ( transitiveset @ ( esk11_1 @ X223 ) )
| ( transitiveset @ ( setunion @ X223 ) ) )
& ( ( in @ ( esk14_2 @ X223 @ X227 ) @ ( esk13_1 @ X223 ) )
| ~ ( in @ X227 @ ( esk13_1 @ X223 ) )
| ( in @ ( esk12_1 @ X223 ) @ ( esk12_1 @ X223 ) )
| ~ ( epred3_1 @ ( esk11_1 @ X223 ) )
| ~ ( transitiveset @ ( esk11_1 @ X223 ) )
| ( transitiveset @ ( setunion @ X223 ) ) )
& ( ( X227
!= ( esk14_2 @ X223 @ X227 ) )
| ~ ( in @ X227 @ ( esk13_1 @ X223 ) )
| ( in @ ( esk12_1 @ X223 ) @ ( esk12_1 @ X223 ) )
| ~ ( epred3_1 @ ( esk11_1 @ X223 ) )
| ~ ( transitiveset @ ( esk11_1 @ X223 ) )
| ( transitiveset @ ( setunion @ X223 ) ) )
& ( ~ ( in @ X227 @ ( esk14_2 @ X223 @ X227 ) )
| ~ ( in @ X227 @ ( esk13_1 @ X223 ) )
| ( in @ ( esk12_1 @ X223 ) @ ( esk12_1 @ X223 ) )
| ~ ( epred3_1 @ ( esk11_1 @ X223 ) )
| ~ ( transitiveset @ ( esk11_1 @ X223 ) )
| ( transitiveset @ ( setunion @ X223 ) ) )
& emptysetOrdinal
& ordinalIrrefl
& ordinalIrrefl2
& ordinalNoCycle
& ( epred4_1 @ esk15_0 )
& ( in @ esk16_0 @ esk17_0 )
& ( in @ esk17_0 @ esk18_0 )
& ( in @ esk18_0 @ esk15_0 )
& ~ ( in @ esk16_0 @ esk18_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])])]) ).
thf(c_0_30,plain,
! [X251: $i,X252: $i,X253: $i,X254: $i,X255: $i,X256: $i,X257: $i,X258: $i,X260: $i] :
( ( ( transitiveset @ X251 )
| ~ ( epred4_1 @ X251 ) )
& ( ~ ( in @ X252 @ X251 )
| ~ ( in @ X253 @ X251 )
| ~ ( in @ X254 @ X251 )
| ~ ( in @ X252 @ X253 )
| ~ ( in @ X253 @ X254 )
| ( in @ X252 @ X254 )
| ~ ( epred4_1 @ X251 ) )
& ( ~ ( in @ X255 @ X251 )
| ~ ( in @ X256 @ X251 )
| ( X255 = X256 )
| ( in @ X255 @ X256 )
| ( in @ X256 @ X255 )
| ~ ( epred4_1 @ X251 ) )
& ( ~ ( in @ X257 @ X251 )
| ~ ( in @ X257 @ X257 )
| ~ ( epred4_1 @ X251 ) )
& ( ( in @ ( esk34_2 @ X251 @ X258 ) @ X258 )
| ~ ( nonempty @ X258 )
| ~ ( in @ X258 @ ( powerset @ X251 ) )
| ~ ( epred4_1 @ X251 ) )
& ( ~ ( in @ X260 @ X258 )
| ( ( esk34_2 @ X251 @ X258 )
= X260 )
| ( in @ ( esk34_2 @ X251 @ X258 ) @ X260 )
| ~ ( nonempty @ X258 )
| ~ ( in @ X258 @ ( powerset @ X251 ) )
| ~ ( epred4_1 @ X251 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])])]) ).
thf(c_0_31,negated_conjecture,
! [X2: $i,X4: $i,X3: $i] :
( ( in @ X4 @ X2 )
| ~ ( transitiveset @ X2 )
| ~ ( in @ X3 @ X2 )
| ~ ( in @ X4 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_32,negated_conjecture,
in @ esk17_0 @ esk18_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_33,plain,
! [X2: $i] :
( ( transitiveset @ X2 )
| ~ ( epred4_1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_34,negated_conjecture,
epred4_1 @ esk15_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_35,plain,
! [X2: $i,X5: $i,X4: $i,X3: $i] :
( ( in @ X2 @ X5 )
| ~ ( in @ X2 @ X3 )
| ~ ( in @ X4 @ X3 )
| ~ ( in @ X5 @ X3 )
| ~ ( in @ X2 @ X4 )
| ~ ( in @ X4 @ X5 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_36,negated_conjecture,
in @ esk18_0 @ esk15_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_37,negated_conjecture,
! [X2: $i] :
( ( in @ esk17_0 @ X2 )
| ~ ( in @ esk18_0 @ X2 )
| ~ ( transitiveset @ X2 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_38,negated_conjecture,
transitiveset @ esk15_0,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_39,negated_conjecture,
in @ esk16_0 @ esk17_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_40,negated_conjecture,
! [X2: $i,X3: $i] :
( ( in @ X2 @ esk18_0 )
| ~ ( in @ X3 @ esk18_0 )
| ~ ( in @ X3 @ esk15_0 )
| ~ ( in @ X2 @ esk15_0 )
| ~ ( in @ X2 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_34])]) ).
thf(c_0_41,negated_conjecture,
in @ esk17_0 @ esk15_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_36])]) ).
thf(c_0_42,negated_conjecture,
! [X2: $i] :
( ( in @ esk16_0 @ X2 )
| ~ ( in @ esk17_0 @ X2 )
| ~ ( transitiveset @ X2 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
thf(c_0_43,negated_conjecture,
~ ( in @ esk16_0 @ esk18_0 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_44,negated_conjecture,
! [X2: $i] :
( ( in @ X2 @ esk18_0 )
| ~ ( in @ X2 @ esk15_0 )
| ~ ( in @ X2 @ esk17_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_32]),c_0_41])]) ).
thf(c_0_45,negated_conjecture,
in @ esk16_0 @ esk15_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38]),c_0_41])]) ).
thf(c_0_46,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU824^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 17:26:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running higher-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.09/0.64 # Version: 3.1.0-ho
% 1.09/0.64 # Preprocessing class: HSLMSLSSLLLCHFA.
% 1.09/0.64 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.64 # Starting ehoh_best5 with 300s (1) cores
% 1.09/0.64 # Starting almost_fo_3_lam with 300s (1) cores
% 1.09/0.64 # Starting new_bool_5 with 300s (1) cores
% 1.09/0.64 # Starting pre_casc_3 with 300s (1) cores
% 1.09/0.64 # Starting ho_unfolding_8 with 300s (1) cores
% 1.09/0.64 # Starting new_ho_10_cnf2 with 300s (1) cores
% 1.09/0.64 # Starting new_bool_3 with 300s (1) cores
% 1.09/0.64 # Starting new_ho_5 with 300s (1) cores
% 1.09/0.64 # new_ho_5 with pid 25976 completed with status 0
% 1.09/0.64 # Result found by new_ho_5
% 1.09/0.64 # Preprocessing class: HSLMSLSSLLLCHFA.
% 1.09/0.64 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.64 # Starting ehoh_best5 with 300s (1) cores
% 1.09/0.64 # Starting almost_fo_3_lam with 300s (1) cores
% 1.09/0.64 # Starting new_bool_5 with 300s (1) cores
% 1.09/0.64 # Starting pre_casc_3 with 300s (1) cores
% 1.09/0.64 # Starting ho_unfolding_8 with 300s (1) cores
% 1.09/0.64 # Starting new_ho_10_cnf2 with 300s (1) cores
% 1.09/0.64 # Starting new_bool_3 with 300s (1) cores
% 1.09/0.64 # Starting new_ho_5 with 300s (1) cores
% 1.09/0.64 # SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true)
% 1.09/0.64 # Search class: HGHSF-FSLM31-SHFMMFBN
% 1.09/0.64 # partial match(2): HGHSM-FSLM31-SHFMMSBN
% 1.09/0.64 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.09/0.64 # Starting ehoh_best3 with 163s (1) cores
% 1.09/0.64 # ehoh_best3 with pid 25977 completed with status 0
% 1.09/0.64 # Result found by ehoh_best3
% 1.09/0.64 # Preprocessing class: HSLMSLSSLLLCHFA.
% 1.09/0.64 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.64 # Starting ehoh_best5 with 300s (1) cores
% 1.09/0.64 # Starting almost_fo_3_lam with 300s (1) cores
% 1.09/0.64 # Starting new_bool_5 with 300s (1) cores
% 1.09/0.64 # Starting pre_casc_3 with 300s (1) cores
% 1.09/0.64 # Starting ho_unfolding_8 with 300s (1) cores
% 1.09/0.64 # Starting new_ho_10_cnf2 with 300s (1) cores
% 1.09/0.64 # Starting new_bool_3 with 300s (1) cores
% 1.09/0.64 # Starting new_ho_5 with 300s (1) cores
% 1.09/0.64 # SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true)
% 1.09/0.64 # Search class: HGHSF-FSLM31-SHFMMFBN
% 1.09/0.64 # partial match(2): HGHSM-FSLM31-SHFMMSBN
% 1.09/0.64 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.09/0.64 # Starting ehoh_best3 with 163s (1) cores
% 1.09/0.64 # Preprocessing time : 0.006 s
% 1.09/0.64 # Presaturation interreduction done
% 1.09/0.64
% 1.09/0.64 # Proof found!
% 1.09/0.64 # SZS status Theorem
% 1.09/0.64 # SZS output start CNFRefutation
% See solution above
% 1.09/0.64 # Parsed axioms : 749
% 1.09/0.64 # Removed by relevancy pruning/SinE : 734
% 1.09/0.64 # Initial clauses : 553
% 1.09/0.64 # Removed in clause preprocessing : 1
% 1.09/0.64 # Initial clauses in saturation : 552
% 1.09/0.64 # Processed clauses : 1091
% 1.09/0.64 # ...of these trivial : 0
% 1.09/0.64 # ...subsumed : 111
% 1.09/0.64 # ...remaining for further processing : 980
% 1.09/0.64 # Other redundant clauses eliminated : 0
% 1.09/0.64 # Clauses deleted for lack of memory : 0
% 1.09/0.64 # Backward-subsumed : 0
% 1.09/0.64 # Backward-rewritten : 0
% 1.09/0.64 # Generated clauses : 760
% 1.09/0.64 # ...of the previous two non-redundant : 730
% 1.09/0.64 # ...aggressively subsumed : 0
% 1.09/0.64 # Contextual simplify-reflections : 1
% 1.09/0.64 # Paramodulations : 760
% 1.09/0.64 # Factorizations : 0
% 1.09/0.64 # NegExts : 0
% 1.09/0.64 # Equation resolutions : 0
% 1.09/0.64 # Disequality decompositions : 0
% 1.09/0.64 # Total rewrite steps : 79
% 1.09/0.64 # ...of those cached : 70
% 1.09/0.64 # Propositional unsat checks : 0
% 1.09/0.64 # Propositional check models : 0
% 1.09/0.64 # Propositional check unsatisfiable : 0
% 1.09/0.64 # Propositional clauses : 0
% 1.09/0.64 # Propositional clauses after purity: 0
% 1.09/0.64 # Propositional unsat core size : 0
% 1.09/0.64 # Propositional preprocessing time : 0.000
% 1.09/0.64 # Propositional encoding time : 0.000
% 1.09/0.64 # Propositional solver time : 0.000
% 1.09/0.64 # Success case prop preproc time : 0.000
% 1.09/0.64 # Success case prop encoding time : 0.000
% 1.09/0.64 # Success case prop solver time : 0.000
% 1.09/0.64 # Current number of processed clauses : 528
% 1.09/0.64 # Positive orientable unit clauses : 339
% 1.09/0.64 # Positive unorientable unit clauses: 0
% 1.09/0.64 # Negative unit clauses : 4
% 1.09/0.64 # Non-unit-clauses : 185
% 1.09/0.64 # Current number of unprocessed clauses: 642
% 1.09/0.64 # ...number of literals in the above : 3483
% 1.09/0.64 # Current number of archived formulas : 0
% 1.09/0.64 # Current number of archived clauses : 452
% 1.09/0.64 # Clause-clause subsumption calls (NU) : 9214
% 1.09/0.64 # Rec. Clause-clause subsumption calls : 2385
% 1.09/0.64 # Non-unit clause-clause subsumptions : 110
% 1.09/0.64 # Unit Clause-clause subsumption calls : 137
% 1.09/0.64 # Rewrite failures with RHS unbound : 0
% 1.09/0.64 # BW rewrite match attempts : 0
% 1.09/0.64 # BW rewrite match successes : 0
% 1.09/0.64 # Condensation attempts : 0
% 1.09/0.64 # Condensation successes : 0
% 1.09/0.64 # Termbank termtop insertions : 49723
% 1.09/0.64 # Search garbage collected termcells : 11402
% 1.09/0.64
% 1.09/0.64 # -------------------------------------------------
% 1.09/0.64 # User time : 0.085 s
% 1.09/0.64 # System time : 0.010 s
% 1.09/0.64 # Total time : 0.095 s
% 1.09/0.64 # Maximum resident set size: 4672 pages
% 1.09/0.64
% 1.09/0.64 # -------------------------------------------------
% 1.09/0.64 # User time : 0.106 s
% 1.09/0.64 # System time : 0.015 s
% 1.09/0.64 # Total time : 0.120 s
% 1.09/0.64 # Maximum resident set size: 2628 pages
% 1.09/0.64 % E---3.1 exiting
% 1.09/0.65 % E exiting
%------------------------------------------------------------------------------