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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU816^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:31:39 AM UTC 2026

% Result   : Theorem 12.56s 2.17s
% Output   : Refutation 12.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   69 (  25 unt;   0 typ;   8 def)
%            Number of atoms       : 5379 (1421 equ;   0 cnn)
%            Maximal formula atoms :  335 (  77 avg)
%            Number of connectives : 2659 (  71   ~;  66   |;1020   &; 150   @)
%                                         (  10 <=>;1342  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  341 (  37 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  625 ( 622 usr; 369 con; 0-6 aty)
%            Number of variables   :   48 (   0 sgn  32   !;   8   ?;  48   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    in: $i > $i > $o ).

thf(func_def_1,type,
    exu: ( $i > $o ) > $o ).

thf(func_def_3,type,
    setextAx: $o ).

thf(func_def_5,type,
    emptysetAx: $o ).

thf(func_def_6,type,
    setadjoin: $i > $i > $i ).

thf(func_def_7,type,
    setadjoinAx: $o ).

thf(func_def_8,type,
    powerset: $i > $i ).

thf(func_def_9,type,
    powersetAx: $o ).

thf(func_def_10,type,
    setunion: $i > $i ).

thf(func_def_11,type,
    setunionAx: $o ).

thf(func_def_13,type,
    omega0Ax: $o ).

thf(func_def_14,type,
    omegaSAx: $o ).

thf(func_def_15,type,
    omegaIndAx: $o ).

thf(func_def_16,type,
    replAx: $o ).

thf(func_def_17,type,
    foundationAx: $o ).

thf(func_def_18,type,
    wellorderingAx: $o ).

thf(func_def_19,type,
    descr: ( $i > $o ) > $i ).

thf(func_def_20,type,
    descrp: $o ).

thf(func_def_21,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(func_def_22,type,
    dsetconstrI: $o ).

thf(func_def_23,type,
    dsetconstrEL: $o ).

thf(func_def_24,type,
    dsetconstrER: $o ).

thf(func_def_25,type,
    exuE1: $o ).

thf(func_def_26,type,
    prop2set: $o > $i ).

thf(func_def_27,type,
    prop2setE: $o ).

thf(func_def_28,type,
    emptysetE: $o ).

thf(func_def_29,type,
    emptysetimpfalse: $o ).

thf(func_def_30,type,
    notinemptyset: $o ).

thf(func_def_31,type,
    exuE3e: $o ).

thf(func_def_32,type,
    setext: $o ).

thf(func_def_33,type,
    emptyI: $o ).

thf(func_def_34,type,
    noeltsimpempty: $o ).

thf(func_def_35,type,
    setbeta: $o ).

thf(func_def_36,type,
    nonempty: $i > $o ).

thf(func_def_37,type,
    nonemptyE1: $o ).

thf(func_def_38,type,
    nonemptyI: $o ).

thf(func_def_39,type,
    nonemptyI1: $o ).

thf(func_def_40,type,
    setadjoinIL: $o ).

thf(func_def_41,type,
    emptyinunitempty: $o ).

thf(func_def_42,type,
    setadjoinIR: $o ).

thf(func_def_43,type,
    setadjoinE: $o ).

thf(func_def_44,type,
    setadjoinOr: $o ).

thf(func_def_45,type,
    setoftrueEq: $o ).

thf(func_def_46,type,
    powersetI: $o ).

thf(func_def_47,type,
    emptyinPowerset: $o ).

thf(func_def_48,type,
    emptyInPowerset: $o ).

thf(func_def_49,type,
    powersetE: $o ).

thf(func_def_50,type,
    setunionI: $o ).

thf(func_def_51,type,
    setunionE: $o ).

thf(func_def_52,type,
    subPowSU: $o ).

thf(func_def_53,type,
    exuE2: $o ).

thf(func_def_54,type,
    nonemptyImpWitness: $o ).

thf(func_def_55,type,
    uniqinunit: $o ).

thf(func_def_56,type,
    notinsingleton: $o ).

thf(func_def_57,type,
    eqinunit: $o ).

thf(func_def_58,type,
    singletonsswitch: $o ).

thf(func_def_59,type,
    upairsetE: $o ).

thf(func_def_60,type,
    upairsetIL: $o ).

thf(func_def_61,type,
    upairsetIR: $o ).

thf(func_def_62,type,
    emptyE1: $o ).

thf(func_def_63,type,
    vacuousDall: $o ).

thf(func_def_64,type,
    quantDeMorgan1: $o ).

thf(func_def_65,type,
    quantDeMorgan2: $o ).

thf(func_def_66,type,
    quantDeMorgan3: $o ).

thf(func_def_67,type,
    quantDeMorgan4: $o ).

thf(func_def_68,type,
    prop2setI: $o ).

thf(func_def_69,type,
    set2prop: $i > $o ).

thf(func_def_70,type,
    prop2set2propI: $o ).

thf(func_def_71,type,
    notdexE: $o ).

thf(func_def_72,type,
    notdallE: $o ).

thf(func_def_73,type,
    exuI1: $o ).

thf(func_def_74,type,
    exuI3: $o ).

thf(func_def_75,type,
    exuI2: $o ).

thf(func_def_76,type,
    inCongP: $o ).

thf(func_def_77,type,
    in__Cong: $o ).

thf(func_def_78,type,
    exuE3u: $o ).

thf(func_def_79,type,
    exu__Cong: $o ).

thf(func_def_80,type,
    emptyset__Cong: $o ).

thf(func_def_81,type,
    setadjoin__Cong: $o ).

thf(func_def_82,type,
    powerset__Cong: $o ).

thf(func_def_83,type,
    setunion__Cong: $o ).

thf(func_def_84,type,
    omega__Cong: $o ).

thf(func_def_85,type,
    exuEu: $o ).

thf(func_def_86,type,
    descr__Cong: $o ).

thf(func_def_87,type,
    dsetconstr__Cong: $o ).

thf(func_def_88,type,
    subset: $i > $i > $o ).

thf(func_def_89,type,
    disjoint: $i > $i > $o ).

thf(func_def_90,type,
    setsmeet: $i > $i > $o ).

thf(func_def_91,type,
    subsetI1: $o ).

thf(func_def_92,type,
    eqimpsubset2: $o ).

thf(func_def_93,type,
    eqimpsubset1: $o ).

thf(func_def_94,type,
    subsetI2: $o ).

thf(func_def_95,type,
    emptysetsubset: $o ).

thf(func_def_96,type,
    subsetE: $o ).

thf(func_def_97,type,
    subsetE2: $o ).

thf(func_def_98,type,
    notsubsetI: $o ).

thf(func_def_99,type,
    notequalI1: $o ).

thf(func_def_100,type,
    notequalI2: $o ).

thf(func_def_101,type,
    subsetRefl: $o ).

thf(func_def_102,type,
    subsetTrans: $o ).

thf(func_def_103,type,
    setadjoinSub: $o ).

thf(func_def_104,type,
    setadjoinSub2: $o ).

thf(func_def_105,type,
    subset2powerset: $o ).

thf(func_def_106,type,
    setextsub: $o ).

thf(func_def_107,type,
    subsetemptysetimpeq: $o ).

thf(func_def_108,type,
    powersetI1: $o ).

thf(func_def_109,type,
    powersetE1: $o ).

thf(func_def_110,type,
    inPowerset: $o ).

thf(func_def_111,type,
    powersetsubset: $o ).

thf(func_def_112,type,
    sepInPowerset: $o ).

thf(func_def_113,type,
    sepSubset: $o ).

thf(func_def_114,type,
    binunion: $i > $i > $i ).

thf(func_def_115,type,
    binunionIL: $o ).

thf(func_def_116,type,
    upairset2IR: $o ).

thf(func_def_117,type,
    binunionIR: $o ).

thf(func_def_118,type,
    binunionEcases: $o ).

thf(func_def_119,type,
    binunionE: $o ).

thf(func_def_120,type,
    binunionLsub: $o ).

thf(func_def_121,type,
    binunionRsub: $o ).

thf(func_def_122,type,
    binintersect: $i > $i > $i ).

thf(func_def_123,type,
    binintersectI: $o ).

thf(func_def_124,type,
    binintersectSubset5: $o ).

thf(func_def_125,type,
    binintersectEL: $o ).

thf(func_def_126,type,
    binintersectLsub: $o ).

thf(func_def_127,type,
    binintersectSubset2: $o ).

thf(func_def_128,type,
    binintersectSubset3: $o ).

thf(func_def_129,type,
    binintersectER: $o ).

thf(func_def_130,type,
    disjointsetsI1: $o ).

thf(func_def_131,type,
    binintersectRsub: $o ).

thf(func_def_132,type,
    binintersectSubset4: $o ).

thf(func_def_133,type,
    binintersectSubset1: $o ).

thf(func_def_134,type,
    bs114d: $o ).

thf(func_def_135,type,
    regular: $i > $o ).

thf(func_def_136,type,
    setminus: $i > $i > $i ).

thf(func_def_137,type,
    setminusI: $o ).

thf(func_def_138,type,
    setminusEL: $o ).

thf(func_def_139,type,
    setminusER: $o ).

thf(func_def_140,type,
    setminusSubset2: $o ).

thf(func_def_141,type,
    setminusERneg: $o ).

thf(func_def_142,type,
    setminusELneg: $o ).

thf(func_def_143,type,
    setminusILneg: $o ).

thf(func_def_144,type,
    setminusIRneg: $o ).

thf(func_def_145,type,
    setminusLsub: $o ).

thf(func_def_146,type,
    setminusSubset1: $o ).

thf(func_def_147,type,
    symdiff: $i > $i > $i ).

thf(func_def_148,type,
    symdiffE: $o ).

thf(func_def_149,type,
    symdiffI1: $o ).

thf(func_def_150,type,
    symdiffI2: $o ).

thf(func_def_151,type,
    symdiffIneg1: $o ).

thf(func_def_152,type,
    symdiffIneg2: $o ).

thf(func_def_153,type,
    iskpair: $i > $o ).

thf(func_def_154,type,
    secondinupair: $o ).

thf(func_def_155,type,
    setukpairIL: $o ).

thf(func_def_156,type,
    setukpairIR: $o ).

thf(func_def_157,type,
    kpairiskpair: $o ).

thf(func_def_158,type,
    kpair: $i > $i > $i ).

thf(func_def_159,type,
    kpairp: $o ).

thf(func_def_160,type,
    cartprod: $i > $i > $i ).

thf(func_def_161,type,
    singletonsubset: $o ).

thf(func_def_162,type,
    singletoninpowerset: $o ).

thf(func_def_163,type,
    singletoninpowunion: $o ).

thf(func_def_164,type,
    upairset2E: $o ).

thf(func_def_165,type,
    upairsubunion: $o ).

thf(func_def_166,type,
    upairinpowunion: $o ).

thf(func_def_167,type,
    ubforcartprodlem1: $o ).

thf(func_def_168,type,
    ubforcartprodlem2: $o ).

thf(func_def_169,type,
    ubforcartprodlem3: $o ).

thf(func_def_170,type,
    cartprodpairin: $o ).

thf(func_def_171,type,
    cartprodmempair1: $o ).

thf(func_def_172,type,
    cartprodmempair: $o ).

thf(func_def_173,type,
    setunionE2: $o ).

thf(func_def_174,type,
    setunionsingleton1: $o ).

thf(func_def_175,type,
    setunionsingleton2: $o ).

thf(func_def_176,type,
    setunionsingleton: $o ).

thf(func_def_177,type,
    singleton: $i > $o ).

thf(func_def_178,type,
    singletonprop: $o ).

thf(func_def_179,type,
    ex1: $i > ( $i > $o ) > $o ).

thf(func_def_180,type,
    ex1E1: $o ).

thf(func_def_181,type,
    ex1I: $o ).

thf(func_def_182,type,
    ex1I2: $o ).

thf(func_def_183,type,
    singletonsuniq: $o ).

thf(func_def_184,type,
    atmost1p: $i > $o ).

thf(func_def_185,type,
    atleast2p: $i > $o ).

thf(func_def_186,type,
    atmost2p: $i > $o ).

thf(func_def_187,type,
    upairsetp: $i > $o ).

thf(func_def_188,type,
    setukpairinjL1: $o ).

thf(func_def_189,type,
    kfstsingleton: $o ).

thf(func_def_190,type,
    theprop: $o ).

thf(func_def_191,type,
    kfst: $i > $i ).

thf(func_def_192,type,
    kfstpairEq: $o ).

thf(func_def_193,type,
    cartprodfstin: $o ).

thf(func_def_194,type,
    setukpairinjL2: $o ).

thf(func_def_195,type,
    setukpairinjL: $o ).

thf(func_def_196,type,
    setukpairinjR11: $o ).

thf(func_def_197,type,
    setukpairinjR12: $o ).

thf(func_def_198,type,
    setukpairinjR1: $o ).

thf(func_def_199,type,
    upairequniteq: $o ).

thf(func_def_200,type,
    setukpairinjR2: $o ).

thf(func_def_201,type,
    setukpairinjR: $o ).

thf(func_def_202,type,
    ksndsingleton: $o ).

thf(func_def_203,type,
    ksnd: $i > $i ).

thf(func_def_204,type,
    ksndpairEq: $o ).

thf(func_def_205,type,
    kpairsurjEq: $o ).

thf(func_def_206,type,
    cartprodsndin: $o ).

thf(func_def_207,type,
    cartprodpairmemEL: $o ).

thf(func_def_208,type,
    cartprodpairmemER: $o ).

thf(func_def_209,type,
    cartprodmempaircEq: $o ).

thf(func_def_210,type,
    cartprodfstpairEq: $o ).

thf(func_def_211,type,
    cartprodsndpairEq: $o ).

thf(func_def_212,type,
    cartprodpairsurjEq: $o ).

thf(func_def_213,type,
    breln: $i > $i > $i > $o ).

thf(func_def_214,type,
    dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).

thf(func_def_215,type,
    dpsetconstrI: $o ).

thf(func_def_216,type,
    dpsetconstrSub: $o ).

thf(func_def_217,type,
    setOfPairsIsBReln: $o ).

thf(func_def_218,type,
    dpsetconstrERa: $o ).

thf(func_def_219,type,
    dpsetconstrEL1: $o ).

thf(func_def_220,type,
    dpsetconstrEL2: $o ).

thf(func_def_221,type,
    dpsetconstrER: $o ).

thf(func_def_222,type,
    func: $i > $i > $i > $o ).

thf(func_def_223,type,
    funcSet: $i > $i > $i ).

thf(func_def_224,type,
    funcImageSingleton: $o ).

thf(func_def_225,type,
    apProp: $o ).

thf(func_def_226,type,
    ap: $i > $i > $i > $i > $i ).

thf(func_def_227,type,
    app: $o ).

thf(func_def_228,type,
    infuncsetfunc: $o ).

thf(func_def_229,type,
    ap2p: $o ).

thf(func_def_230,type,
    funcinfuncset: $o ).

thf(func_def_231,type,
    lamProp: $o ).

thf(func_def_232,type,
    lam: $i > $i > ( $i > $i ) > $i ).

thf(func_def_233,type,
    lamp: $o ).

thf(func_def_234,type,
    lam2p: $o ).

thf(func_def_235,type,
    brelnall1: $o ).

thf(func_def_236,type,
    brelnall2: $o ).

thf(func_def_237,type,
    ex1E2: $o ).

thf(func_def_238,type,
    funcGraphProp1: $o ).

thf(func_def_239,type,
    funcGraphProp3: $o ).

thf(func_def_240,type,
    funcGraphProp2: $o ).

thf(func_def_241,type,
    funcextLem: $o ).

thf(func_def_242,type,
    funcGraphProp4: $o ).

thf(func_def_243,type,
    subbreln: $o ).

thf(func_def_244,type,
    eqbreln: $o ).

thf(func_def_245,type,
    funcext: $o ).

thf(func_def_246,type,
    funcext2: $o ).

thf(func_def_247,type,
    ap2apEq1: $o ).

thf(func_def_248,type,
    ap2apEq2: $o ).

thf(func_def_249,type,
    beta1: $o ).

thf(func_def_250,type,
    eta1: $o ).

thf(func_def_251,type,
    lam2lamEq: $o ).

thf(func_def_252,type,
    beta2: $o ).

thf(func_def_253,type,
    eta2: $o ).

thf(func_def_254,type,
    iffalseProp1: $o ).

thf(func_def_255,type,
    iffalseProp2: $o ).

thf(func_def_256,type,
    iftrueProp1: $o ).

thf(func_def_257,type,
    iftrueProp2: $o ).

thf(func_def_258,type,
    ifSingleton: $o ).

thf(func_def_259,type,
    if: $i > $o > $i > $i > $i ).

thf(func_def_260,type,
    ifp: $o ).

thf(func_def_261,type,
    theeq: $o ).

thf(func_def_262,type,
    iftrue: $o ).

thf(func_def_263,type,
    iffalse: $o ).

thf(func_def_264,type,
    iftrueorfalse: $o ).

thf(func_def_265,type,
    binintersectT_lem: $o ).

thf(func_def_266,type,
    binunionT_lem: $o ).

thf(func_def_267,type,
    powersetT_lem: $o ).

thf(func_def_268,type,
    setminusT_lem: $o ).

thf(func_def_269,type,
    complementT_lem: $o ).

thf(func_def_270,type,
    setextT: $o ).

thf(func_def_271,type,
    subsetTI: $o ).

thf(func_def_272,type,
    powersetTI1: $o ).

thf(func_def_273,type,
    powersetTE1: $o ).

thf(func_def_274,type,
    complementTI1: $o ).

thf(func_def_275,type,
    complementTE1: $o ).

thf(func_def_276,type,
    binintersectTELcontra: $o ).

thf(func_def_277,type,
    binintersectTERcontra: $o ).

thf(func_def_278,type,
    contrasubsetT: $o ).

thf(func_def_279,type,
    contrasubsetT1: $o ).

thf(func_def_280,type,
    contrasubsetT2: $o ).

thf(func_def_281,type,
    contrasubsetT3: $o ).

thf(func_def_282,type,
    doubleComplementI1: $o ).

thf(func_def_283,type,
    doubleComplementE1: $o ).

thf(func_def_284,type,
    doubleComplementSub1: $o ).

thf(func_def_285,type,
    doubleComplementSub2: $o ).

thf(func_def_286,type,
    doubleComplementEq: $o ).

thf(func_def_287,type,
    complementTnotintersectT: $o ).

thf(func_def_288,type,
    complementImpComplementIntersect: $o ).

thf(func_def_289,type,
    complementSubsetComplementIntersect: $o ).

thf(func_def_290,type,
    complementInPowersetComplementIntersect: $o ).

thf(func_def_291,type,
    contraSubsetComplement: $o ).

thf(func_def_292,type,
    complementTcontraSubset: $o ).

thf(func_def_293,type,
    binunionTILcontra: $o ).

thf(func_def_294,type,
    binunionTIRcontra: $o ).

thf(func_def_295,type,
    inIntersectImpInUnion: $o ).

thf(func_def_296,type,
    inIntersectImpInUnion2: $o ).

thf(func_def_297,type,
    inIntersectImpInIntersectUnions: $o ).

thf(func_def_298,type,
    intersectInPowersetIntersectUnions: $o ).

thf(func_def_299,type,
    inComplementUnionImpNotIn1: $o ).

thf(func_def_300,type,
    inComplementUnionImpInComplement1: $o ).

thf(func_def_301,type,
    binunionTE: $o ).

thf(func_def_302,type,
    binunionTEcontra: $o ).

thf(func_def_303,type,
    demorgan2a1: $o ).

thf(func_def_304,type,
    complementUnionInPowersetComplement: $o ).

thf(func_def_305,type,
    demorgan2a2: $o ).

thf(func_def_306,type,
    demorgan1a: $o ).

thf(func_def_307,type,
    demorgan1b: $o ).

thf(func_def_308,type,
    demorgan1: $o ).

thf(func_def_309,type,
    demorgan2a: $o ).

thf(func_def_310,type,
    demorgan2b2: $o ).

thf(func_def_311,type,
    demorgan2b: $o ).

thf(func_def_312,type,
    demorgan2: $o ).

thf(func_def_313,type,
    woz13rule0: $o ).

thf(func_def_314,type,
    woz13rule1: $o ).

thf(func_def_315,type,
    woz13rule2: $o ).

thf(func_def_316,type,
    woz13rule3: $o ).

thf(func_def_317,type,
    woz13rule4: $o ).

thf(func_def_318,type,
    woz1_1: $o ).

thf(func_def_319,type,
    woz1_2: $o ).

thf(func_def_320,type,
    woz1_3: $o ).

thf(func_def_321,type,
    woz1_4: $o ).

thf(func_def_322,type,
    woz1_5: $o ).

thf(func_def_323,type,
    breln1: $i > $i > $o ).

thf(func_def_324,type,
    breln1all2: $o ).

thf(func_def_325,type,
    breln1Set: $i > $i ).

thf(func_def_326,type,
    breln1SetBreln1: $o ).

thf(func_def_327,type,
    transitive: $i > $i > $o ).

thf(func_def_328,type,
    antisymmetric: $i > $i > $o ).

thf(func_def_329,type,
    reflexive: $i > $i > $o ).

thf(func_def_330,type,
    refltransitive: $i > $i > $o ).

thf(func_def_331,type,
    refllinearorder: $i > $i > $o ).

thf(func_def_332,type,
    reflwellordering: $i > $i > $o ).

thf(func_def_333,type,
    choice2fnsingleton: $o ).

thf(func_def_334,type,
    setOfPairsIsBReln1: $o ).

thf(func_def_335,type,
    breln1all1: $o ).

thf(func_def_336,type,
    subbreln1: $o ).

thf(func_def_337,type,
    eqbreln1: $o ).

thf(func_def_338,type,
    breln1invset: $i > $i > $i ).

thf(func_def_339,type,
    breln1invprop: $o ).

thf(func_def_340,type,
    breln1invI: $o ).

thf(func_def_341,type,
    breln1invE: $o ).

thf(func_def_342,type,
    breln1compset: $i > $i > $i > $i ).

thf(func_def_343,type,
    breln1compprop: $o ).

thf(func_def_344,type,
    breln1compI: $o ).

thf(func_def_345,type,
    breln1compE: $o ).

thf(func_def_346,type,
    breln1compEex: $o ).

thf(func_def_347,type,
    breln1unionprop: $o ).

thf(func_def_348,type,
    breln1unionIL: $o ).

thf(func_def_349,type,
    breln1unionIR: $o ).

thf(func_def_350,type,
    breln1unionI: $o ).

thf(func_def_351,type,
    breln1unionE: $o ).

thf(func_def_352,type,
    breln1unionEcases: $o ).

thf(func_def_353,type,
    breln1unionCommutes: $o ).

thf(func_def_354,type,
    woz2Ex: $o ).

thf(func_def_355,type,
    woz2W: $o ).

thf(func_def_356,type,
    woz2A: $o ).

thf(func_def_357,type,
    woz2B: $o ).

thf(func_def_358,type,
    image1Ex: $o ).

thf(func_def_359,type,
    image1Ex1: $o ).

thf(func_def_360,type,
    image1: $i > ( $i > $i ) > $i ).

thf(func_def_361,type,
    image1Equiv: $o ).

thf(func_def_362,type,
    image1E: $o ).

thf(func_def_363,type,
    image1I: $o ).

thf(func_def_364,type,
    injective: $i > $i > $i > $o ).

thf(func_def_365,type,
    injFuncSet: $i > $i > $i ).

thf(func_def_366,type,
    injFuncInInjFuncSet: $o ).

thf(func_def_367,type,
    injFuncSetFuncIn: $o ).

thf(func_def_368,type,
    injFuncSetFuncInj: $o ).

thf(func_def_369,type,
    surjective: $i > $i > $i > $o ).

thf(func_def_370,type,
    surjFuncSet: $i > $i > $i ).

thf(func_def_371,type,
    surjFuncSetFuncIn: $o ).

thf(func_def_372,type,
    surjFuncSetFuncSurj: $o ).

thf(func_def_373,type,
    leftInvIsSurj: $o ).

thf(func_def_374,type,
    surjCantorThm: $o ).

thf(func_def_375,type,
    foundation2: $o ).

thf(func_def_376,type,
    notinself: $o ).

thf(func_def_377,type,
    notinself2: $o ).

thf(func_def_378,type,
    omegaS: $i > $i ).

thf(func_def_379,type,
    omegaSp: $o ).

thf(func_def_380,type,
    omegaSclos: $o ).

thf(func_def_381,type,
    peano0notS: $o ).

thf(func_def_382,type,
    peano3: $i > $i > $i > $o ).

thf(func_def_383,type,
    peano4: $i > $i > $i > $o ).

thf(func_def_384,type,
    peano5: $i > $i > $i > $o ).

thf(func_def_385,type,
    peanoSinj: $o ).

thf(func_def_386,type,
    peano: $i > $i > $i > $o ).

thf(func_def_387,type,
    transitiveset: $i > $o ).

thf(func_def_388,type,
    transitivesetOp1: $o ).

thf(func_def_389,type,
    binintTransitive: $o ).

thf(func_def_390,type,
    transitivesetOp2: $o ).

thf(func_def_391,type,
    setunionTransitive: $o ).

thf(func_def_392,type,
    stricttotalorderedByIn: $i > $o ).

thf(func_def_393,type,
    wellorderedByIn: $i > $o ).

thf(func_def_394,type,
    ordinal: $i > $o ).

thf(func_def_395,type,
    limitOrdinal: $i > $o ).

thf(func_def_398,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_399,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_400,type,
    vAND: $o > $o > $o ).

thf(func_def_401,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_402,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_403,type,
    vOR: $o > $o > $o ).

thf(func_def_404,type,
    vNOT: $o > $o ).

thf(func_def_405,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_406,type,
    vIMP: $o > $o > $o ).

thf(func_def_407,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_408,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_409,type,
    vIFF: $o > $o > $o ).

thf(func_def_410,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_411,type,
    sP0: $o ).

thf(func_def_412,type,
    sP1: $i > $i > $o ).

thf(func_def_413,type,
    sP2: $i > $o ).

thf(func_def_414,type,
    sP3: $o ).

thf(func_def_415,type,
    sP4: $o ).

thf(func_def_420,type,
    sK9: $i > $i > $i ).

thf(func_def_437,type,
    sK26: $o > $i > $i > $i > $i > $i > $i ).

thf(func_def_443,type,
    sK32: $o ).

thf(func_def_444,type,
    sK33: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_445,type,
    sK34: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_449,type,
    sK38: $i > $o ).

thf(func_def_457,type,
    sK46: $o ).

thf(func_def_461,type,
    sK50: $i > $i ).

thf(func_def_463,type,
    sK52: $i > $i ).

thf(func_def_469,type,
    sK58: $i > $o ).

thf(func_def_480,type,
    sK69: $i > $o ).

thf(func_def_481,type,
    sK70: $i > $o ).

thf(func_def_482,type,
    sK71: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_483,type,
    sK72: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_507,type,
    sK96: $i > $i > $i > $i > $i ).

thf(func_def_508,type,
    sK97: $i > $i > $i > $i > $i ).

thf(func_def_553,type,
    sK142: $i > $i > $i > $i > $i ).

thf(func_def_554,type,
    sK143: $i > $i > $o ).

thf(func_def_557,type,
    sK146: $i > $o ).

thf(func_def_561,type,
    sK150: $i > $o ).

thf(func_def_569,type,
    sK158: $i > $i > $o ).

thf(func_def_577,type,
    sK166: $o ).

thf(func_def_585,type,
    sK174: $i > $i > $i > $i ).

thf(func_def_586,type,
    sK175: $i > $i > $i > $i ).

thf(func_def_593,type,
    sK182: $o ).

thf(func_def_596,type,
    sK185: $i > $i ).

thf(func_def_598,type,
    sK187: $i > ( $i > $i ) > $i > $i ).

thf(func_def_603,type,
    sK192: $o ).

thf(func_def_606,type,
    sK195: $i > $o ).

thf(func_def_615,type,
    sK204: $i > ( $i > $i ) > $i > $i ).

thf(func_def_617,type,
    sK206: $i > $i ).

thf(func_def_622,type,
    sK211: $i > $i > $i > $i ).

thf(func_def_623,type,
    sK212: $i > $i > $i > $i ).

thf(func_def_624,type,
    sK213: $i > $i > $i > $i ).

thf(func_def_625,type,
    sK214: $i > $i > $i > $i ).

thf(func_def_651,type,
    sK240: $i > $i ).

thf(func_def_652,type,
    sK241: $i > $i ).

thf(func_def_653,type,
    sK242: $i > $i ).

thf(func_def_654,type,
    sK243: $i > $i ).

thf(func_def_655,type,
    sK244: $i > $i ).

thf(func_def_656,type,
    sK245: $i > $i > $i > $i ).

thf(func_def_657,type,
    sK246: $i > $i ).

thf(func_def_658,type,
    sK247: $i > $i ).

thf(func_def_659,type,
    sK248: $i > $i ).

thf(func_def_660,type,
    sK249: $i > $i ).

thf(func_def_661,type,
    sK250: $i > $i > $i ).

thf(func_def_662,type,
    sK251: $i > $i > $i > $i ).

thf(func_def_663,type,
    sK252: $i > $i > $i > $i ).

thf(func_def_664,type,
    sK253: $i > $i > $i > $i ).

thf(func_def_665,type,
    sK254: $i > $i > $i ).

thf(func_def_666,type,
    sK255: $i > $i > $i ).

thf(func_def_667,type,
    sK256: $i > $i > $i ).

thf(func_def_668,type,
    sK257: $i > $i > $i ).

thf(func_def_695,type,
    sK284: $i > $o ).

thf(func_def_696,type,
    sK285: $i > $o ).

thf(func_def_697,type,
    sK286: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_698,type,
    sK287: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_701,type,
    sK290: $o ).

thf(func_def_711,type,
    sK300: $i > $i ).

thf(func_def_715,type,
    sK304: $i > $i > ( $i > $i ) > $i ).

thf(func_def_719,type,
    sK308: ( $i > $o ) > $i > $i ).

thf(func_def_721,type,
    sK310: $i > $o ).

thf(func_def_723,type,
    sK312: $i > ( $i > $o ) > $i ).

thf(func_def_724,type,
    sK313: $i > $o ).

thf(func_def_727,type,
    sK316: $i > ( $i > $o ) > $i ).

thf(func_def_728,type,
    sK317: $i > $o ).

thf(func_def_730,type,
    sK319: $i > $o ).

thf(func_def_733,type,
    sK322: $i > ( $i > $o ) > $i ).

thf(func_def_738,type,
    sK327: $o ).

thf(func_def_744,type,
    sK333: $i > $i > $i ).

thf(func_def_771,type,
    sK360: $i > ( $i > $i ) > $i > $i > $i ).

thf(func_def_772,type,
    sK361: ( $i > $i ) > $i > $i > $i ).

thf(func_def_775,type,
    sK364: $i > $i ).

thf(func_def_779,type,
    sK368: $o ).

thf(func_def_789,type,
    sK378: $o ).

thf(func_def_790,type,
    sK379: $o ).

thf(func_def_801,type,
    sK390: ( $i > $o ) > $i ).

thf(func_def_802,type,
    sK391: $i > $o ).

thf(func_def_803,type,
    sK392: $i > $i > $i > $i > $i > $i ).

thf(func_def_814,type,
    sK403: $i > ( $i > $o ) > $i ).

thf(func_def_815,type,
    sK404: $i > $o ).

thf(func_def_827,type,
    sK416: $i > $o ).

thf(func_def_830,type,
    sK419: $i > ( $i > $o ) > $i ).

thf(func_def_831,type,
    sK420: $i > ( $i > $o ) > $i ).

thf(func_def_839,type,
    sK428: $i > $o ).

thf(func_def_851,type,
    sK440: $i > $i ).

thf(func_def_860,type,
    sK449: $i > $i > $o ).

thf(func_def_874,type,
    sK463: $o ).

thf(func_def_885,type,
    sK474: $i > $i > $o ).

thf(func_def_886,type,
    sK475: $i > $i ).

thf(func_def_889,type,
    sK478: ( $i > $i > $o ) > $i > $i > $i ).

thf(func_def_896,type,
    sK485: $i > $i > $i ).

thf(func_def_906,type,
    sK495: $i > $i ).

thf(func_def_911,type,
    sK500: $o ).

thf(func_def_920,type,
    sK509: $o ).

thf(func_def_921,type,
    sK510: $i > $i ).

thf(func_def_924,type,
    sK513: $i > $i > ( $i > $i ) > $i ).

thf(func_def_938,type,
    sK527: $i > $i > $i ).

thf(func_def_943,type,
    sK532: $i > $i ).

thf(func_def_944,type,
    sK533: ( $i > $i ) > $i > $i > $i ).

thf(func_def_957,type,
    sK546: $i > $i > $i > $i > $i ).

thf(func_def_958,type,
    sK547: $i > $i > $i > $i > $i ).

thf(func_def_959,type,
    sK548: $i > $i > $i > $i > $i ).

thf(func_def_960,type,
    sK549: $i > $i > $i > $i > $i ).

thf(func_def_963,type,
    sK552: $i > $o ).

thf(func_def_970,type,
    sK559: $i > $i > $i > $i > $i ).

thf(func_def_980,type,
    sK569: ( $i > $o ) > $i > $i ).

thf(func_def_982,type,
    sK571: $i > $o ).

thf(func_def_984,type,
    sK573: $i > $o ).

thf(func_def_987,type,
    sK576: $i > ( $i > $o ) > $i ).

thf(func_def_988,type,
    sK577: $i > ( $i > $o ) > $i ).

thf(func_def_998,type,
    sK587: $i > $i > $i > $i ).

thf(func_def_999,type,
    sK588: $i > $i > $i > $i ).

thf(func_def_1006,type,
    sK595: $i > $i ).

thf(func_def_1010,type,
    sK599: $i > $i > $o ).

thf(func_def_1021,type,
    sK610: $i > $i > $i > $i ).

thf(func_def_1027,type,
    sK616: $i > $o ).

thf(func_def_1049,type,
    sK638: $i > $o ).

thf(func_def_1060,type,
    sK649: $i > $o ).

thf(func_def_1068,type,
    sK657: $i > $i > $i > $i > $i ).

thf(func_def_1076,type,
    sK665: $o ).

thf(func_def_1083,type,
    sK672: $i > $i > $o ).

thf(func_def_1094,type,
    sK683: $i > $i > $o ).

thf(func_def_1100,type,
    sK689: $i > $i ).

thf(func_def_1102,type,
    sK691: $i > $o ).

thf(func_def_1117,type,
    sK706: $o ).

thf(func_def_1121,type,
    sK710: $i > $o ).

thf(func_def_1123,type,
    sK712: $i > ( $i > $o ) > $i ).

thf(func_def_1129,type,
    sK718: $o ).

thf(func_def_1134,type,
    sK723: $i > $i ).

thf(func_def_1136,type,
    sK725: $i > $i ).

thf(func_def_1137,type,
    sK726: $i > $i ).

thf(func_def_1138,type,
    sK727: $i > ( $i > $i ) > $i ).

thf(func_def_1139,type,
    sK728: $i > $i > ( $i > $i ) > $i ).

thf(func_def_1140,type,
    sK729: $i > $o ).

thf(func_def_1141,type,
    sK730: $i > $i ).

thf(func_def_1142,type,
    sK731: ( $i > $o ) > $i ).

thf(func_def_1150,type,
    sK739: $i > $i ).

thf(func_def_1152,type,
    sK741: $i > $o ).

thf(func_def_1155,type,
    sK744: $i > ( $i > $o ) > $i ).

thf(func_def_1158,type,
    sK747: $i > $i > $i ).

thf(func_def_1193,type,
    sK782: $i > $i ).

thf(func_def_1205,type,
    sK794: $o ).

thf(func_def_1219,type,
    sK808: $i > $i > $i ).

thf(func_def_1222,type,
    sK811: $i > $o ).

thf(func_def_1223,type,
    sK812: $i > $o ).

thf(func_def_1224,type,
    sK813: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).

thf(func_def_1225,type,
    sK814: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).

thf(func_def_1263,type,
    sK852: $i > $i > $i > $i ).

thf(func_def_1264,type,
    sK853: $i > $i > $i > $i ).

thf(func_def_1270,type,
    sK859: $i > $o ).

thf(func_def_1272,type,
    sK861: ( $i > $o ) > $i > $i > $i ).

thf(func_def_1273,type,
    sK862: ( $i > $o ) > $i > $i > $i ).

thf(func_def_1278,type,
    sK867: $i > $i > $o ).

thf(func_def_1297,type,
    sK886: $o ).

thf(func_def_1302,type,
    sK891: $i > $o ).

thf(func_def_1304,type,
    sK893: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_1305,type,
    sK894: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_1321,type,
    sK910: $i > $i ).

thf(func_def_1322,type,
    sK911: ( $i > $o ) > $i > $i > $i ).

thf(func_def_1323,type,
    sK912: ( $i > $o ) > $i > $i > $i ).

thf(func_def_1326,type,
    sK915: $i > $o ).

thf(func_def_1347,type,
    sK936: $i > $i ).

thf(func_def_1359,type,
    sK948: $i > $i > $i ).

thf(func_def_1363,type,
    sK952: $o ).

thf(func_def_1367,type,
    sK956: ( $i > $o ) > $i ).

thf(func_def_1368,type,
    sK957: $i > $o ).

thf(func_def_1369,type,
    sK958: $i > $i ).

thf(func_def_1370,type,
    sK959: $i > $i > ( $i > $i ) > $i ).

thf(func_def_1371,type,
    sK960: $i > $i ).

thf(func_def_1383,type,
    sK972: $i > $i ).

thf(func_def_1387,type,
    sK976: $i > $i > ( $i > $i ) > $i ).

thf(func_def_1390,type,
    sK979: $i > $o ).

thf(func_def_1395,type,
    sK984: ( $i > $i > $o ) > $i > $i ).

thf(func_def_1396,type,
    sK985: $i > ( $i > $i > $o ) > $i > $i ).

thf(func_def_1397,type,
    sK986: ( $i > $i > $o ) > $i > $i ).

thf(func_def_1399,type,
    sK988: $i > $i > $o ).

thf(func_def_1400,type,
    sK989: $i > $i ).

thf(func_def_1401,type,
    sK990: $i > $i ).

thf(func_def_1407,type,
    sK996: $i > $o ).

thf(func_def_1427,type,
    sK1016: $i > ( $i > $o ) > $i ).

thf(func_def_1428,type,
    sK1017: $i > $o ).

thf(func_def_1433,type,
    sK1022: $i > $i > $i ).

thf(func_def_1448,type,
    sK1037: $o > $i > $i > $i ).

thf(func_def_1451,type,
    sK1040: $o ).

thf(func_def_1456,type,
    sK1045: $i > $i > $o ).

thf(func_def_1458,type,
    sK1047: $i > ( $i > $i ) > $i > $i ).

thf(func_def_1460,type,
    sK1049: $i > $i ).

thf(func_def_1465,type,
    sK1054: $i > $i > $i > $i ).

thf(func_def_1470,type,
    sK1059: ( $i > $o ) > $i > $i > $i ).

thf(func_def_1473,type,
    sK1062: $i > $o ).

thf(func_def_1474,type,
    sK1063: ( $i > $o ) > $i ).

thf(func_def_1475,type,
    sK1064: ( $i > $o ) > $i ).

thf(func_def_1476,type,
    sK1065: $i > $o ).

thf(func_def_1486,type,
    sK1075: $i > $i > $i ).

thf(func_def_1487,type,
    sK1076: $i > $i > $i ).

thf(func_def_1490,type,
    sK1079: $i > $o ).

thf(func_def_1498,type,
    sK1087: $i > $i ).

thf(f333,axiom,
    ! [X0: $i] :
      ( ( ( transitiveset @ X0 )
       => ! [X1: $i] :
            ( ( transitiveset @ X1 )
           => ( transitiveset @ ( binintersect @ X0 @ X1 ) ) ) )
      = binintTransitive ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintTransitive) ).

thf(f338,axiom,
    ( ( ^ [X0: $i] :
          ( ( transitiveset @ X0 )
          & ( wellorderedByIn @ X0 ) ) )
    = ordinal ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinal) ).

thf(f339,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
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ! [X0: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              ( ( ordinal @ X0 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ! [X1: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ( ( ordinal @ X1 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( transitiveset @ ( binintersect @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinalMinLem1) ).

thf(f340,negated_conjecture,
    ~ ( setextAx
     => ( emptysetAx
       => ( setadjoinAx
         => ( powersetAx
           => ( setunionAx
             => ( omega0Ax
               => ( omegaSAx
                 => ( omegaIndAx
                   => ( replAx
                     => ( foundationAx
                       => ( wellorderingAx
                         => ( descrp
                           => ( dsetconstrI
                             => ( dsetconstrEL
                               => ( dsetconstrER
                                 => ( exuE1
                                   => ( prop2setE
                                     => ( emptysetE
                                       => ( emptysetimpfalse
                                         => ( notinemptyset
                                           => ( exuE3e
                                             => ( setext
                                               => ( emptyI
                                                 => ( noeltsimpempty
                                                   => ( setbeta
                                                     => ( nonemptyE1
                                                       => ( nonemptyI
                                                         => ( nonemptyI1
                                                           => ( setadjoinIL
                                                             => ( emptyinunitempty
                                                               => ( setadjoinIR
                                                                 => ( setadjoinE
                                                                   => ( setadjoinOr
                                                                     => ( setoftrueEq
                                                                       => ( powersetI
                                                                         => ( emptyinPowerset
                                                                           => ( emptyInPowerset
                                                                             => ( powersetE
                                                                               => ( setunionI
                                                                                 => ( setunionE
                                                                                   => ( subPowSU
                                                                                     => ( exuE2
                                                                                       => ( nonemptyImpWitness
                                                                                         => ( uniqinunit
                                                                                           => ( notinsingleton
                                                                                             => ( eqinunit
                                                                                               => ( singletonsswitch
                                                                                                 => ( upairsetE
                                                                                                   => ( upairsetIL
                                                                                                     => ( upairsetIR
                                                                                                       => ( emptyE1
                                                                                                         => ( vacuousDall
                                                                                                           => ( quantDeMorgan1
                                                                                                             => ( quantDeMorgan2
                                                                                                               => ( quantDeMorgan3
                                                                                                                 => ( quantDeMorgan4
                                                                                                                   => ( prop2setI
                                                                                                                     => ( prop2set2propI
                                                                                                                       => ( notdexE
                                                                                                                         => ( notdallE
                                                                                                                           => ( exuI1
                                                                                                                             => ( exuI3
                                                                                                                               => ( exuI2
                                                                                                                                 => ( inCongP
                                                                                                                                   => ( in__Cong
                                                                                                                                     => ( exuE3u
                                                                                                                                       => ( exu__Cong
                                                                                                                                         => ( emptyset__Cong
                                                                                                                                           => ( setadjoin__Cong
                                                                                                                                             => ( powerset__Cong
                                                                                                                                               => ( setunion__Cong
                                                                                                                                                 => ( omega__Cong
                                                                                                                                                   => ( exuEu
                                                                                                                                                     => ( descr__Cong
                                                                                                                                                       => ( dsetconstr__Cong
                                                                                                                                                         => ( subsetI1
                                                                                                                                                           => ( eqimpsubset2
                                                                                                                                                             => ( eqimpsubset1
                                                                                                                                                               => ( subsetI2
                                                                                                                                                                 => ( emptysetsubset
                                                                                                                                                                   => ( subsetE
                                                                                                                                                                     => ( subsetE2
                                                                                                                                                                       => ( notsubsetI
                                                                                                                                                                         => ( notequalI1
                                                                                                                                                                           => ( notequalI2
                                                                                                                                                                             => ( subsetRefl
                                                                                                                                                                               => ( subsetTrans
                                                                                                                                                                                 => ( setadjoinSub
                                                                                                                                                                                   => ( setadjoinSub2
                                                                                                                                                                                     => ( subset2powerset
                                                                                                                                                                                       => ( setextsub
                                                                                                                                                                                         => ( subsetemptysetimpeq
                                                                                                                                                                                           => ( powersetI1
                                                                                                                                                                                             => ( powersetE1
                                                                                                                                                                                               => ( inPowerset
                                                                                                                                                                                                 => ( powersetsubset
                                                                                                                                                                                                   => ( sepInPowerset
                                                                                                                                                                                                     => ( sepSubset
                                                                                                                                                                                                       => ( binunionIL
                                                                                                                                                                                                         => ( upairset2IR
                                                                                                                                                                                                           => ( binunionIR
                                                                                                                                                                                                             => ( binunionEcases
                                                                                                                                                                                                               => ( binunionE
                                                                                                                                                                                                                 => ( binunionLsub
                                                                                                                                                                                                                   => ( binunionRsub
                                                                                                                                                                                                                     => ( binintersectI
                                                                                                                                                                                                                       => ( binintersectSubset5
                                                                                                                                                                                                                         => ( binintersectEL
                                                                                                                                                                                                                           => ( binintersectLsub
                                                                                                                                                                                                                             => ( binintersectSubset2
                                                                                                                                                                                                                               => ( binintersectSubset3
                                                                                                                                                                                                                                 => ( binintersectER
                                                                                                                                                                                                                                   => ( disjointsetsI1
                                                                                                                                                                                                                                     => ( binintersectRsub
                                                                                                                                                                                                                                       => ( binintersectSubset4
                                                                                                                                                                                                                                         => ( binintersectSubset1
                                                                                                                                                                                                                                           => ( bs114d
                                                                                                                                                                                                                                             => ( setminusI
                                                                                                                                                                                                                                               => ( setminusEL
                                                                                                                                                                                                                                                 => ( setminusER
                                                                                                                                                                                                                                                   => ( setminusSubset2
                                                                                                                                                                                                                                                     => ( setminusERneg
                                                                                                                                                                                                                                                       => ( setminusELneg
                                                                                                                                                                                                                                                         => ( setminusILneg
                                                                                                                                                                                                                                                           => ( setminusIRneg
                                                                                                                                                                                                                                                             => ( setminusLsub
                                                                                                                                                                                                                                                               => ( setminusSubset1
                                                                                                                                                                                                                                                                 => ( symdiffE
                                                                                                                                                                                                                                                                   => ( symdiffI1
                                                                                                                                                                                                                                                                     => ( symdiffI2
                                                                                                                                                                                                                                                                       => ( symdiffIneg1
                                                                                                                                                                                                                                                                         => ( symdiffIneg2
                                                                                                                                                                                                                                                                           => ( secondinupair
                                                                                                                                                                                                                                                                             => ( setukpairIL
                                                                                                                                                                                                                                                                               => ( setukpairIR
                                                                                                                                                                                                                                                                                 => ( kpairiskpair
                                                                                                                                                                                                                                                                                   => ( kpairp
                                                                                                                                                                                                                                                                                     => ( singletonsubset
                                                                                                                                                                                                                                                                                       => ( singletoninpowerset
                                                                                                                                                                                                                                                                                         => ( singletoninpowunion
                                                                                                                                                                                                                                                                                           => ( upairset2E
                                                                                                                                                                                                                                                                                             => ( upairsubunion
                                                                                                                                                                                                                                                                                               => ( upairinpowunion
                                                                                                                                                                                                                                                                                                 => ( ubforcartprodlem1
                                                                                                                                                                                                                                                                                                   => ( ubforcartprodlem2
                                                                                                                                                                                                                                                                                                     => ( ubforcartprodlem3
                                                                                                                                                                                                                                                                                                       => ( cartprodpairin
                                                                                                                                                                                                                                                                                                         => ( cartprodmempair1
                                                                                                                                                                                                                                                                                                           => ( cartprodmempair
                                                                                                                                                                                                                                                                                                             => ( setunionE2
                                                                                                                                                                                                                                                                                                               => ( setunionsingleton1
                                                                                                                                                                                                                                                                                                                 => ( setunionsingleton2
                                                                                                                                                                                                                                                                                                                   => ( setunionsingleton
                                                                                                                                                                                                                                                                                                                     => ( singletonprop
                                                                                                                                                                                                                                                                                                                       => ( ex1E1
                                                                                                                                                                                                                                                                                                                         => ( ex1I
                                                                                                                                                                                                                                                                                                                           => ( ex1I2
                                                                                                                                                                                                                                                                                                                             => ( singletonsuniq
                                                                                                                                                                                                                                                                                                                               => ( setukpairinjL1
                                                                                                                                                                                                                                                                                                                                 => ( kfstsingleton
                                                                                                                                                                                                                                                                                                                                   => ( theprop
                                                                                                                                                                                                                                                                                                                                     => ( kfstpairEq
                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstin
                                                                                                                                                                                                                                                                                                                                         => ( setukpairinjL2
                                                                                                                                                                                                                                                                                                                                           => ( setukpairinjL
                                                                                                                                                                                                                                                                                                                                             => ( setukpairinjR11
                                                                                                                                                                                                                                                                                                                                               => ( setukpairinjR12
                                                                                                                                                                                                                                                                                                                                                 => ( setukpairinjR1
                                                                                                                                                                                                                                                                                                                                                   => ( upairequniteq
                                                                                                                                                                                                                                                                                                                                                     => ( setukpairinjR2
                                                                                                                                                                                                                                                                                                                                                       => ( setukpairinjR
                                                                                                                                                                                                                                                                                                                                                         => ( ksndsingleton
                                                                                                                                                                                                                                                                                                                                                           => ( ksndpairEq
                                                                                                                                                                                                                                                                                                                                                             => ( kpairsurjEq
                                                                                                                                                                                                                                                                                                                                                               => ( cartprodsndin
                                                                                                                                                                                                                                                                                                                                                                 => ( cartprodpairmemEL
                                                                                                                                                                                                                                                                                                                                                                   => ( cartprodpairmemER
                                                                                                                                                                                                                                                                                                                                                                     => ( cartprodmempaircEq
                                                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstpairEq
                                                                                                                                                                                                                                                                                                                                                                         => ( cartprodsndpairEq
                                                                                                                                                                                                                                                                                                                                                                           => ( cartprodpairsurjEq
                                                                                                                                                                                                                                                                                                                                                                             => ( dpsetconstrI
                                                                                                                                                                                                                                                                                                                                                                               => ( dpsetconstrSub
                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln
                                                                                                                                                                                                                                                                                                                                                                                   => ( dpsetconstrERa
                                                                                                                                                                                                                                                                                                                                                                                     => ( dpsetconstrEL1
                                                                                                                                                                                                                                                                                                                                                                                       => ( dpsetconstrEL2
                                                                                                                                                                                                                                                                                                                                                                                         => ( dpsetconstrER
                                                                                                                                                                                                                                                                                                                                                                                           => ( funcImageSingleton
                                                                                                                                                                                                                                                                                                                                                                                             => ( apProp
                                                                                                                                                                                                                                                                                                                                                                                               => ( app
                                                                                                                                                                                                                                                                                                                                                                                                 => ( infuncsetfunc
                                                                                                                                                                                                                                                                                                                                                                                                   => ( ap2p
                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcinfuncset
                                                                                                                                                                                                                                                                                                                                                                                                       => ( lamProp
                                                                                                                                                                                                                                                                                                                                                                                                         => ( lamp
                                                                                                                                                                                                                                                                                                                                                                                                           => ( lam2p
                                                                                                                                                                                                                                                                                                                                                                                                             => ( brelnall1
                                                                                                                                                                                                                                                                                                                                                                                                               => ( brelnall2
                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ex1E2
                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcGraphProp1
                                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcGraphProp3
                                                                                                                                                                                                                                                                                                                                                                                                                       => ( funcGraphProp2
                                                                                                                                                                                                                                                                                                                                                                                                                         => ( funcextLem
                                                                                                                                                                                                                                                                                                                                                                                                                           => ( funcGraphProp4
                                                                                                                                                                                                                                                                                                                                                                                                                             => ( subbreln
                                                                                                                                                                                                                                                                                                                                                                                                                               => ( eqbreln
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( funcext
                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcext2
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ap2apEq1
                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ap2apEq2
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( beta1
                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( eta1
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( lam2lamEq
                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( beta2
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( eta2
                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalseProp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iffalseProp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( iftrueProp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( iftrueProp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ifSingleton
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ifp
                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( theeq
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( iftrue
                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalse
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iftrueorfalse
                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( binintersectT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( binunionT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( powersetT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( setminusT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( complementT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setextT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( subsetTI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( powersetTI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( powersetTE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementTI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( complementTE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( binintersectTELcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binintersectTERcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( contrasubsetT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( contrasubsetT1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( contrasubsetT2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( contrasubsetT3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( doubleComplementI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( doubleComplementE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( doubleComplementSub1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( doubleComplementSub2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( doubleComplementEq
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( complementTnotintersectT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementImpComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( complementSubsetComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementInPowersetComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( contraSubsetComplement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( complementTcontraSubset
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTILcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTIRcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( inIntersectImpInUnion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( inIntersectImpInUnion2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( inIntersectImpInIntersectUnions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( intersectInPowersetIntersectUnions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( inComplementUnionImpNotIn1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( inComplementUnionImpInComplement1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTEcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2a1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementUnionInPowersetComplement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( demorgan2a2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( demorgan1a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( demorgan1b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( demorgan1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( demorgan2a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( demorgan2b2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( demorgan2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz13rule0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz13rule1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( woz13rule2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( woz13rule3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( woz13rule4
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( woz1_1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( woz1_2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( woz1_3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz1_4
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz1_5
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1all2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1SetBreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( choice2fnsingleton
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1all1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( subbreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( eqbreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( breln1invprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1invI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1invE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1compprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( breln1compI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1compE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( breln1compEex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( breln1unionprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( breln1unionIL
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1unionIR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1unionI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1unionE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( breln1unionEcases
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1unionCommutes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( woz2Ex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz2W
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz2A
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( woz2B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( image1Ex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( image1Ex1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( image1Equiv
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( image1E
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( image1I
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( injFuncInInjFuncSet
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( injFuncSetFuncIn
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( injFuncSetFuncInj
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( surjFuncSetFuncIn
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( surjFuncSetFuncSurj
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( leftInvIsSurj
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( surjCantorThm
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( foundation2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( notinself
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( notinself2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( omegaSp
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( omegaSclos
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( peano0notS
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( peanoSinj
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( transitivesetOp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( binintTransitive
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( transitivesetOp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( setunionTransitive
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ! [X0: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ( ( ordinal @ X0 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ! [X1: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ( ( ordinal @ X1 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( transitiveset @ ( binintersect @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f339]) ).

thf(f391,plain,
    ~ ( setextAx
     => ( emptysetAx
       => ( setadjoinAx
         => ( powersetAx
           => ( setunionAx
             => ( omega0Ax
               => ( omegaSAx
                 => ( omegaIndAx
                   => ( replAx
                     => ( foundationAx
                       => ( wellorderingAx
                         => ( descrp
                           => ( dsetconstrI
                             => ( dsetconstrEL
                               => ( dsetconstrER
                                 => ( exuE1
                                   => ( prop2setE
                                     => ( emptysetE
                                       => ( emptysetimpfalse
                                         => ( notinemptyset
                                           => ( exuE3e
                                             => ( setext
                                               => ( emptyI
                                                 => ( noeltsimpempty
                                                   => ( setbeta
                                                     => ( nonemptyE1
                                                       => ( nonemptyI
                                                         => ( nonemptyI1
                                                           => ( setadjoinIL
                                                             => ( emptyinunitempty
                                                               => ( setadjoinIR
                                                                 => ( setadjoinE
                                                                   => ( setadjoinOr
                                                                     => ( setoftrueEq
                                                                       => ( powersetI
                                                                         => ( emptyinPowerset
                                                                           => ( emptyInPowerset
                                                                             => ( powersetE
                                                                               => ( setunionI
                                                                                 => ( setunionE
                                                                                   => ( subPowSU
                                                                                     => ( exuE2
                                                                                       => ( nonemptyImpWitness
                                                                                         => ( uniqinunit
                                                                                           => ( notinsingleton
                                                                                             => ( eqinunit
                                                                                               => ( singletonsswitch
                                                                                                 => ( upairsetE
                                                                                                   => ( upairsetIL
                                                                                                     => ( upairsetIR
                                                                                                       => ( emptyE1
                                                                                                         => ( vacuousDall
                                                                                                           => ( quantDeMorgan1
                                                                                                             => ( quantDeMorgan2
                                                                                                               => ( quantDeMorgan3
                                                                                                                 => ( quantDeMorgan4
                                                                                                                   => ( prop2setI
                                                                                                                     => ( prop2set2propI
                                                                                                                       => ( notdexE
                                                                                                                         => ( notdallE
                                                                                                                           => ( exuI1
                                                                                                                             => ( exuI3
                                                                                                                               => ( exuI2
                                                                                                                                 => ( inCongP
                                                                                                                                   => ( in__Cong
                                                                                                                                     => ( exuE3u
                                                                                                                                       => ( exu__Cong
                                                                                                                                         => ( emptyset__Cong
                                                                                                                                           => ( setadjoin__Cong
                                                                                                                                             => ( powerset__Cong
                                                                                                                                               => ( setunion__Cong
                                                                                                                                                 => ( omega__Cong
                                                                                                                                                   => ( exuEu
                                                                                                                                                     => ( descr__Cong
                                                                                                                                                       => ( dsetconstr__Cong
                                                                                                                                                         => ( subsetI1
                                                                                                                                                           => ( eqimpsubset2
                                                                                                                                                             => ( eqimpsubset1
                                                                                                                                                               => ( subsetI2
                                                                                                                                                                 => ( emptysetsubset
                                                                                                                                                                   => ( subsetE
                                                                                                                                                                     => ( subsetE2
                                                                                                                                                                       => ( notsubsetI
                                                                                                                                                                         => ( notequalI1
                                                                                                                                                                           => ( notequalI2
                                                                                                                                                                             => ( subsetRefl
                                                                                                                                                                               => ( subsetTrans
                                                                                                                                                                                 => ( setadjoinSub
                                                                                                                                                                                   => ( setadjoinSub2
                                                                                                                                                                                     => ( subset2powerset
                                                                                                                                                                                       => ( setextsub
                                                                                                                                                                                         => ( subsetemptysetimpeq
                                                                                                                                                                                           => ( powersetI1
                                                                                                                                                                                             => ( powersetE1
                                                                                                                                                                                               => ( inPowerset
                                                                                                                                                                                                 => ( powersetsubset
                                                                                                                                                                                                   => ( sepInPowerset
                                                                                                                                                                                                     => ( sepSubset
                                                                                                                                                                                                       => ( binunionIL
                                                                                                                                                                                                         => ( upairset2IR
                                                                                                                                                                                                           => ( binunionIR
                                                                                                                                                                                                             => ( binunionEcases
                                                                                                                                                                                                               => ( binunionE
                                                                                                                                                                                                                 => ( binunionLsub
                                                                                                                                                                                                                   => ( binunionRsub
                                                                                                                                                                                                                     => ( binintersectI
                                                                                                                                                                                                                       => ( binintersectSubset5
                                                                                                                                                                                                                         => ( binintersectEL
                                                                                                                                                                                                                           => ( binintersectLsub
                                                                                                                                                                                                                             => ( binintersectSubset2
                                                                                                                                                                                                                               => ( binintersectSubset3
                                                                                                                                                                                                                                 => ( binintersectER
                                                                                                                                                                                                                                   => ( disjointsetsI1
                                                                                                                                                                                                                                     => ( binintersectRsub
                                                                                                                                                                                                                                       => ( binintersectSubset4
                                                                                                                                                                                                                                         => ( binintersectSubset1
                                                                                                                                                                                                                                           => ( bs114d
                                                                                                                                                                                                                                             => ( setminusI
                                                                                                                                                                                                                                               => ( setminusEL
                                                                                                                                                                                                                                                 => ( setminusER
                                                                                                                                                                                                                                                   => ( setminusSubset2
                                                                                                                                                                                                                                                     => ( setminusERneg
                                                                                                                                                                                                                                                       => ( setminusELneg
                                                                                                                                                                                                                                                         => ( setminusILneg
                                                                                                                                                                                                                                                           => ( setminusIRneg
                                                                                                                                                                                                                                                             => ( setminusLsub
                                                                                                                                                                                                                                                               => ( setminusSubset1
                                                                                                                                                                                                                                                                 => ( symdiffE
                                                                                                                                                                                                                                                                   => ( symdiffI1
                                                                                                                                                                                                                                                                     => ( symdiffI2
                                                                                                                                                                                                                                                                       => ( symdiffIneg1
                                                                                                                                                                                                                                                                         => ( symdiffIneg2
                                                                                                                                                                                                                                                                           => ( secondinupair
                                                                                                                                                                                                                                                                             => ( setukpairIL
                                                                                                                                                                                                                                                                               => ( setukpairIR
                                                                                                                                                                                                                                                                                 => ( kpairiskpair
                                                                                                                                                                                                                                                                                   => ( kpairp
                                                                                                                                                                                                                                                                                     => ( singletonsubset
                                                                                                                                                                                                                                                                                       => ( singletoninpowerset
                                                                                                                                                                                                                                                                                         => ( singletoninpowunion
                                                                                                                                                                                                                                                                                           => ( upairset2E
                                                                                                                                                                                                                                                                                             => ( upairsubunion
                                                                                                                                                                                                                                                                                               => ( upairinpowunion
                                                                                                                                                                                                                                                                                                 => ( ubforcartprodlem1
                                                                                                                                                                                                                                                                                                   => ( ubforcartprodlem2
                                                                                                                                                                                                                                                                                                     => ( ubforcartprodlem3
                                                                                                                                                                                                                                                                                                       => ( cartprodpairin
                                                                                                                                                                                                                                                                                                         => ( cartprodmempair1
                                                                                                                                                                                                                                                                                                           => ( cartprodmempair
                                                                                                                                                                                                                                                                                                             => ( setunionE2
                                                                                                                                                                                                                                                                                                               => ( setunionsingleton1
                                                                                                                                                                                                                                                                                                                 => ( setunionsingleton2
                                                                                                                                                                                                                                                                                                                   => ( setunionsingleton
                                                                                                                                                                                                                                                                                                                     => ( singletonprop
                                                                                                                                                                                                                                                                                                                       => ( ex1E1
                                                                                                                                                                                                                                                                                                                         => ( ex1I
                                                                                                                                                                                                                                                                                                                           => ( ex1I2
                                                                                                                                                                                                                                                                                                                             => ( singletonsuniq
                                                                                                                                                                                                                                                                                                                               => ( setukpairinjL1
                                                                                                                                                                                                                                                                                                                                 => ( kfstsingleton
                                                                                                                                                                                                                                                                                                                                   => ( theprop
                                                                                                                                                                                                                                                                                                                                     => ( kfstpairEq
                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstin
                                                                                                                                                                                                                                                                                                                                         => ( setukpairinjL2
                                                                                                                                                                                                                                                                                                                                           => ( setukpairinjL
                                                                                                                                                                                                                                                                                                                                             => ( setukpairinjR11
                                                                                                                                                                                                                                                                                                                                               => ( setukpairinjR12
                                                                                                                                                                                                                                                                                                                                                 => ( setukpairinjR1
                                                                                                                                                                                                                                                                                                                                                   => ( upairequniteq
                                                                                                                                                                                                                                                                                                                                                     => ( setukpairinjR2
                                                                                                                                                                                                                                                                                                                                                       => ( setukpairinjR
                                                                                                                                                                                                                                                                                                                                                         => ( ksndsingleton
                                                                                                                                                                                                                                                                                                                                                           => ( ksndpairEq
                                                                                                                                                                                                                                                                                                                                                             => ( kpairsurjEq
                                                                                                                                                                                                                                                                                                                                                               => ( cartprodsndin
                                                                                                                                                                                                                                                                                                                                                                 => ( cartprodpairmemEL
                                                                                                                                                                                                                                                                                                                                                                   => ( cartprodpairmemER
                                                                                                                                                                                                                                                                                                                                                                     => ( cartprodmempaircEq
                                                                                                                                                                                                                                                                                                                                                                       => ( cartprodfstpairEq
                                                                                                                                                                                                                                                                                                                                                                         => ( cartprodsndpairEq
                                                                                                                                                                                                                                                                                                                                                                           => ( cartprodpairsurjEq
                                                                                                                                                                                                                                                                                                                                                                             => ( dpsetconstrI
                                                                                                                                                                                                                                                                                                                                                                               => ( dpsetconstrSub
                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln
                                                                                                                                                                                                                                                                                                                                                                                   => ( dpsetconstrERa
                                                                                                                                                                                                                                                                                                                                                                                     => ( dpsetconstrEL1
                                                                                                                                                                                                                                                                                                                                                                                       => ( dpsetconstrEL2
                                                                                                                                                                                                                                                                                                                                                                                         => ( dpsetconstrER
                                                                                                                                                                                                                                                                                                                                                                                           => ( funcImageSingleton
                                                                                                                                                                                                                                                                                                                                                                                             => ( apProp
                                                                                                                                                                                                                                                                                                                                                                                               => ( app
                                                                                                                                                                                                                                                                                                                                                                                                 => ( infuncsetfunc
                                                                                                                                                                                                                                                                                                                                                                                                   => ( ap2p
                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcinfuncset
                                                                                                                                                                                                                                                                                                                                                                                                       => ( lamProp
                                                                                                                                                                                                                                                                                                                                                                                                         => ( lamp
                                                                                                                                                                                                                                                                                                                                                                                                           => ( lam2p
                                                                                                                                                                                                                                                                                                                                                                                                             => ( brelnall1
                                                                                                                                                                                                                                                                                                                                                                                                               => ( brelnall2
                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ex1E2
                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcGraphProp1
                                                                                                                                                                                                                                                                                                                                                                                                                     => ( funcGraphProp3
                                                                                                                                                                                                                                                                                                                                                                                                                       => ( funcGraphProp2
                                                                                                                                                                                                                                                                                                                                                                                                                         => ( funcextLem
                                                                                                                                                                                                                                                                                                                                                                                                                           => ( funcGraphProp4
                                                                                                                                                                                                                                                                                                                                                                                                                             => ( subbreln
                                                                                                                                                                                                                                                                                                                                                                                                                               => ( eqbreln
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( funcext
                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( funcext2
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ap2apEq1
                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ap2apEq2
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( beta1
                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( eta1
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( lam2lamEq
                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( beta2
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( eta2
                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalseProp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iffalseProp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( iftrueProp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( iftrueProp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ifSingleton
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ifp
                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( theeq
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( iftrue
                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( iffalse
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( iftrueorfalse
                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( binintersectT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( binunionT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( powersetT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( setminusT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( complementT_lem
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setextT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( subsetTI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( powersetTI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( powersetTE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementTI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( complementTE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( binintersectTELcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binintersectTERcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( contrasubsetT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( contrasubsetT1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( contrasubsetT2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( contrasubsetT3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( doubleComplementI1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( doubleComplementE1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( doubleComplementSub1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( doubleComplementSub2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( doubleComplementEq
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( complementTnotintersectT
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementImpComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( complementSubsetComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( complementInPowersetComplementIntersect
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( contraSubsetComplement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( complementTcontraSubset
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTILcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTIRcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( inIntersectImpInUnion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( inIntersectImpInUnion2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( inIntersectImpInIntersectUnions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( intersectInPowersetIntersectUnions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( inComplementUnionImpNotIn1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( inComplementUnionImpInComplement1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( binunionTE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( binunionTEcontra
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2a1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( complementUnionInPowersetComplement
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( demorgan2a2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( demorgan1a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( demorgan1b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( demorgan1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( demorgan2a
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( demorgan2b2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( demorgan2b
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( demorgan2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz13rule0
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz13rule1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( woz13rule2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( woz13rule3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( woz13rule4
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( woz1_1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( woz1_2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( woz1_3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz1_4
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz1_5
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1all2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1SetBreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( choice2fnsingleton
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( setOfPairsIsBReln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1all1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( subbreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( eqbreln1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( breln1invprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1invI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1invE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1compprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( breln1compI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1compE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( breln1compEex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( breln1unionprop
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( breln1unionIL
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( breln1unionIR
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( breln1unionI
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( breln1unionE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( breln1unionEcases
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( breln1unionCommutes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( woz2Ex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( woz2W
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( woz2A
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( woz2B
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( image1Ex
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( image1Ex1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( image1Equiv
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( image1E
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( image1I
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( injFuncInInjFuncSet
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( injFuncSetFuncIn
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( injFuncSetFuncInj
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( surjFuncSetFuncIn
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( surjFuncSetFuncSurj
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( leftInvIsSurj
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( surjCantorThm
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( foundation2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( notinself
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( notinself2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( omegaSp
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( omegaSclos
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( peano0notS
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( peanoSinj
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( transitivesetOp1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( binintTransitive
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( transitivesetOp2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( setunionTransitive
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ! [X0: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ( ( ordinal @ X0 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ! [X1: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ( ( ordinal @ X1 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( transitiveset @ ( binintersect @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f340]) ).

thf(f392,plain,
    ~ ( ( setextAx = $true )
     => ( ( emptysetAx = $true )
       => ( ( setadjoinAx = $true )
         => ( ( powersetAx = $true )
           => ( ( setunionAx = $true )
             => ( ( omega0Ax = $true )
               => ( ( omegaSAx = $true )
                 => ( ( omegaIndAx = $true )
                   => ( ( replAx = $true )
                     => ( ( foundationAx = $true )
                       => ( ( wellorderingAx = $true )
                         => ( ( descrp = $true )
                           => ( ( dsetconstrI = $true )
                             => ( ( dsetconstrEL = $true )
                               => ( ( dsetconstrER = $true )
                                 => ( ( exuE1 = $true )
                                   => ( ( prop2setE = $true )
                                     => ( ( emptysetE = $true )
                                       => ( ( emptysetimpfalse = $true )
                                         => ( ( notinemptyset = $true )
                                           => ( ( exuE3e = $true )
                                             => ( ( setext = $true )
                                               => ( ( emptyI = $true )
                                                 => ( ( noeltsimpempty = $true )
                                                   => ( ( setbeta = $true )
                                                     => ( ( nonemptyE1 = $true )
                                                       => ( ( nonemptyI = $true )
                                                         => ( ( nonemptyI1 = $true )
                                                           => ( ( setadjoinIL = $true )
                                                             => ( ( emptyinunitempty = $true )
                                                               => ( ( setadjoinIR = $true )
                                                                 => ( ( setadjoinE = $true )
                                                                   => ( ( setadjoinOr = $true )
                                                                     => ( ( setoftrueEq = $true )
                                                                       => ( ( powersetI = $true )
                                                                         => ( ( emptyinPowerset = $true )
                                                                           => ( ( emptyInPowerset = $true )
                                                                             => ( ( powersetE = $true )
                                                                               => ( ( setunionI = $true )
                                                                                 => ( ( setunionE = $true )
                                                                                   => ( ( subPowSU = $true )
                                                                                     => ( ( exuE2 = $true )
                                                                                       => ( ( nonemptyImpWitness = $true )
                                                                                         => ( ( uniqinunit = $true )
                                                                                           => ( ( notinsingleton = $true )
                                                                                             => ( ( eqinunit = $true )
                                                                                               => ( ( singletonsswitch = $true )
                                                                                                 => ( ( upairsetE = $true )
                                                                                                   => ( ( upairsetIL = $true )
                                                                                                     => ( ( upairsetIR = $true )
                                                                                                       => ( ( emptyE1 = $true )
                                                                                                         => ( ( vacuousDall = $true )
                                                                                                           => ( ( quantDeMorgan1 = $true )
                                                                                                             => ( ( quantDeMorgan2 = $true )
                                                                                                               => ( ( quantDeMorgan3 = $true )
                                                                                                                 => ( ( quantDeMorgan4 = $true )
                                                                                                                   => ( ( prop2setI = $true )
                                                                                                                     => ( ( prop2set2propI = $true )
                                                                                                                       => ( ( notdexE = $true )
                                                                                                                         => ( ( notdallE = $true )
                                                                                                                           => ( ( exuI1 = $true )
                                                                                                                             => ( ( exuI3 = $true )
                                                                                                                               => ( ( exuI2 = $true )
                                                                                                                                 => ( ( inCongP = $true )
                                                                                                                                   => ( ( in__Cong = $true )
                                                                                                                                     => ( ( exuE3u = $true )
                                                                                                                                       => ( ( exu__Cong = $true )
                                                                                                                                         => ( ( emptyset__Cong = $true )
                                                                                                                                           => ( ( setadjoin__Cong = $true )
                                                                                                                                             => ( ( powerset__Cong = $true )
                                                                                                                                               => ( ( setunion__Cong = $true )
                                                                                                                                                 => ( ( omega__Cong = $true )
                                                                                                                                                   => ( ( exuEu = $true )
                                                                                                                                                     => ( ( descr__Cong = $true )
                                                                                                                                                       => ( ( dsetconstr__Cong = $true )
                                                                                                                                                         => ( ( subsetI1 = $true )
                                                                                                                                                           => ( ( eqimpsubset2 = $true )
                                                                                                                                                             => ( ( eqimpsubset1 = $true )
                                                                                                                                                               => ( ( subsetI2 = $true )
                                                                                                                                                                 => ( ( emptysetsubset = $true )
                                                                                                                                                                   => ( ( subsetE = $true )
                                                                                                                                                                     => ( ( subsetE2 = $true )
                                                                                                                                                                       => ( ( notsubsetI = $true )
                                                                                                                                                                         => ( ( notequalI1 = $true )
                                                                                                                                                                           => ( ( notequalI2 = $true )
                                                                                                                                                                             => ( ( subsetRefl = $true )
                                                                                                                                                                               => ( ( subsetTrans = $true )
                                                                                                                                                                                 => ( ( setadjoinSub = $true )
                                                                                                                                                                                   => ( ( setadjoinSub2 = $true )
                                                                                                                                                                                     => ( ( subset2powerset = $true )
                                                                                                                                                                                       => ( ( setextsub = $true )
                                                                                                                                                                                         => ( ( subsetemptysetimpeq = $true )
                                                                                                                                                                                           => ( ( powersetI1 = $true )
                                                                                                                                                                                             => ( ( powersetE1 = $true )
                                                                                                                                                                                               => ( ( inPowerset = $true )
                                                                                                                                                                                                 => ( ( powersetsubset = $true )
                                                                                                                                                                                                   => ( ( sepInPowerset = $true )
                                                                                                                                                                                                     => ( ( sepSubset = $true )
                                                                                                                                                                                                       => ( ( binunionIL = $true )
                                                                                                                                                                                                         => ( ( upairset2IR = $true )
                                                                                                                                                                                                           => ( ( binunionIR = $true )
                                                                                                                                                                                                             => ( ( binunionEcases = $true )
                                                                                                                                                                                                               => ( ( binunionE = $true )
                                                                                                                                                                                                                 => ( ( binunionLsub = $true )
                                                                                                                                                                                                                   => ( ( binunionRsub = $true )
                                                                                                                                                                                                                     => ( ( binintersectI = $true )
                                                                                                                                                                                                                       => ( ( binintersectSubset5 = $true )
                                                                                                                                                                                                                         => ( ( binintersectEL = $true )
                                                                                                                                                                                                                           => ( ( binintersectLsub = $true )
                                                                                                                                                                                                                             => ( ( binintersectSubset2 = $true )
                                                                                                                                                                                                                               => ( ( binintersectSubset3 = $true )
                                                                                                                                                                                                                                 => ( ( binintersectER = $true )
                                                                                                                                                                                                                                   => ( ( disjointsetsI1 = $true )
                                                                                                                                                                                                                                     => ( ( binintersectRsub = $true )
                                                                                                                                                                                                                                       => ( ( binintersectSubset4 = $true )
                                                                                                                                                                                                                                         => ( ( binintersectSubset1 = $true )
                                                                                                                                                                                                                                           => ( ( bs114d = $true )
                                                                                                                                                                                                                                             => ( ( setminusI = $true )
                                                                                                                                                                                                                                               => ( ( setminusEL = $true )
                                                                                                                                                                                                                                                 => ( ( setminusER = $true )
                                                                                                                                                                                                                                                   => ( ( setminusSubset2 = $true )
                                                                                                                                                                                                                                                     => ( ( setminusERneg = $true )
                                                                                                                                                                                                                                                       => ( ( setminusELneg = $true )
                                                                                                                                                                                                                                                         => ( ( setminusILneg = $true )
                                                                                                                                                                                                                                                           => ( ( setminusIRneg = $true )
                                                                                                                                                                                                                                                             => ( ( setminusLsub = $true )
                                                                                                                                                                                                                                                               => ( ( setminusSubset1 = $true )
                                                                                                                                                                                                                                                                 => ( ( symdiffE = $true )
                                                                                                                                                                                                                                                                   => ( ( symdiffI1 = $true )
                                                                                                                                                                                                                                                                     => ( ( symdiffI2 = $true )
                                                                                                                                                                                                                                                                       => ( ( symdiffIneg1 = $true )
                                                                                                                                                                                                                                                                         => ( ( symdiffIneg2 = $true )
                                                                                                                                                                                                                                                                           => ( ( secondinupair = $true )
                                                                                                                                                                                                                                                                             => ( ( setukpairIL = $true )
                                                                                                                                                                                                                                                                               => ( ( setukpairIR = $true )
                                                                                                                                                                                                                                                                                 => ( ( kpairiskpair = $true )
                                                                                                                                                                                                                                                                                   => ( ( kpairp = $true )
                                                                                                                                                                                                                                                                                     => ( ( singletonsubset = $true )
                                                                                                                                                                                                                                                                                       => ( ( singletoninpowerset = $true )
                                                                                                                                                                                                                                                                                         => ( ( singletoninpowunion = $true )
                                                                                                                                                                                                                                                                                           => ( ( upairset2E = $true )
                                                                                                                                                                                                                                                                                             => ( ( upairsubunion = $true )
                                                                                                                                                                                                                                                                                               => ( ( upairinpowunion = $true )
                                                                                                                                                                                                                                                                                                 => ( ( ubforcartprodlem1 = $true )
                                                                                                                                                                                                                                                                                                   => ( ( ubforcartprodlem2 = $true )
                                                                                                                                                                                                                                                                                                     => ( ( ubforcartprodlem3 = $true )
                                                                                                                                                                                                                                                                                                       => ( ( cartprodpairin = $true )
                                                                                                                                                                                                                                                                                                         => ( ( cartprodmempair1 = $true )
                                                                                                                                                                                                                                                                                                           => ( ( cartprodmempair = $true )
                                                                                                                                                                                                                                                                                                             => ( ( setunionE2 = $true )
                                                                                                                                                                                                                                                                                                               => ( ( setunionsingleton1 = $true )
                                                                                                                                                                                                                                                                                                                 => ( ( setunionsingleton2 = $true )
                                                                                                                                                                                                                                                                                                                   => ( ( setunionsingleton = $true )
                                                                                                                                                                                                                                                                                                                     => ( ( singletonprop = $true )
                                                                                                                                                                                                                                                                                                                       => ( ( ex1E1 = $true )
                                                                                                                                                                                                                                                                                                                         => ( ( ex1I = $true )
                                                                                                                                                                                                                                                                                                                           => ( ( ex1I2 = $true )
                                                                                                                                                                                                                                                                                                                             => ( ( singletonsuniq = $true )
                                                                                                                                                                                                                                                                                                                               => ( ( setukpairinjL1 = $true )
                                                                                                                                                                                                                                                                                                                                 => ( ( kfstsingleton = $true )
                                                                                                                                                                                                                                                                                                                                   => ( ( theprop = $true )
                                                                                                                                                                                                                                                                                                                                     => ( ( kfstpairEq = $true )
                                                                                                                                                                                                                                                                                                                                       => ( ( cartprodfstin = $true )
                                                                                                                                                                                                                                                                                                                                         => ( ( setukpairinjL2 = $true )
                                                                                                                                                                                                                                                                                                                                           => ( ( setukpairinjL = $true )
                                                                                                                                                                                                                                                                                                                                             => ( ( setukpairinjR11 = $true )
                                                                                                                                                                                                                                                                                                                                               => ( ( setukpairinjR12 = $true )
                                                                                                                                                                                                                                                                                                                                                 => ( ( setukpairinjR1 = $true )
                                                                                                                                                                                                                                                                                                                                                   => ( ( upairequniteq = $true )
                                                                                                                                                                                                                                                                                                                                                     => ( ( setukpairinjR2 = $true )
                                                                                                                                                                                                                                                                                                                                                       => ( ( setukpairinjR = $true )
                                                                                                                                                                                                                                                                                                                                                         => ( ( ksndsingleton = $true )
                                                                                                                                                                                                                                                                                                                                                           => ( ( ksndpairEq = $true )
                                                                                                                                                                                                                                                                                                                                                             => ( ( kpairsurjEq = $true )
                                                                                                                                                                                                                                                                                                                                                               => ( ( cartprodsndin = $true )
                                                                                                                                                                                                                                                                                                                                                                 => ( ( cartprodpairmemEL = $true )
                                                                                                                                                                                                                                                                                                                                                                   => ( ( cartprodpairmemER = $true )
                                                                                                                                                                                                                                                                                                                                                                     => ( ( cartprodmempaircEq = $true )
                                                                                                                                                                                                                                                                                                                                                                       => ( ( cartprodfstpairEq = $true )
                                                                                                                                                                                                                                                                                                                                                                         => ( ( cartprodsndpairEq = $true )
                                                                                                                                                                                                                                                                                                                                                                           => ( ( cartprodpairsurjEq = $true )
                                                                                                                                                                                                                                                                                                                                                                             => ( ( dpsetconstrI = $true )
                                                                                                                                                                                                                                                                                                                                                                               => ( ( dpsetconstrSub = $true )
                                                                                                                                                                                                                                                                                                                                                                                 => ( ( setOfPairsIsBReln = $true )
                                                                                                                                                                                                                                                                                                                                                                                   => ( ( dpsetconstrERa = $true )
                                                                                                                                                                                                                                                                                                                                                                                     => ( ( dpsetconstrEL1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                       => ( ( dpsetconstrEL2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                         => ( ( dpsetconstrER = $true )
                                                                                                                                                                                                                                                                                                                                                                                           => ( ( funcImageSingleton = $true )
                                                                                                                                                                                                                                                                                                                                                                                             => ( ( apProp = $true )
                                                                                                                                                                                                                                                                                                                                                                                               => ( ( app = $true )
                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( infuncsetfunc = $true )
                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( ap2p = $true )
                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( funcinfuncset = $true )
                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( lamProp = $true )
                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( lamp = $true )
                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( lam2p = $true )
                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( brelnall1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( brelnall2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( ex1E2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( funcGraphProp1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( funcGraphProp3 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( funcGraphProp2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( funcextLem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( funcGraphProp4 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( subbreln = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( eqbreln = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( funcext = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( funcext2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( ap2apEq1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( ap2apEq2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( beta1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( eta1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( lam2lamEq = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( beta2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( eta2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( iffalseProp1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( iffalseProp2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( iftrueProp1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( iftrueProp2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( ifSingleton = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( ifp = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( theeq = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( iftrue = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( iffalse = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( iftrueorfalse = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( binintersectT_lem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( binunionT_lem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( powersetT_lem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( setminusT_lem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( complementT_lem = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( setextT = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( subsetTI = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( powersetTI1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( powersetTE1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( complementTI1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( complementTE1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( binintersectTELcontra = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( binintersectTERcontra = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( contrasubsetT = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( contrasubsetT1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( contrasubsetT2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( contrasubsetT3 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( doubleComplementI1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( doubleComplementE1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( doubleComplementSub1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( doubleComplementSub2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( doubleComplementEq = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( complementTnotintersectT = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( complementImpComplementIntersect = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( complementSubsetComplementIntersect = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( complementInPowersetComplementIntersect = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( contraSubsetComplement = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( complementTcontraSubset = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( binunionTILcontra = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( binunionTIRcontra = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( inIntersectImpInUnion = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( inIntersectImpInUnion2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( inIntersectImpInIntersectUnions = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( intersectInPowersetIntersectUnions = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( inComplementUnionImpNotIn1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( inComplementUnionImpInComplement1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( binunionTE = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( binunionTEcontra = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( demorgan2a1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( complementUnionInPowersetComplement = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( demorgan2a2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( demorgan1a = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( demorgan1b = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( demorgan1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( demorgan2a = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( demorgan2b2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( demorgan2b = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( demorgan2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( woz13rule0 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( woz13rule1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( woz13rule2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( woz13rule3 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( woz13rule4 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( woz1_1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( woz1_2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( woz1_3 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( woz1_4 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( woz1_5 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( breln1all2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( breln1SetBreln1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( choice2fnsingleton = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( setOfPairsIsBReln1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( breln1all1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( subbreln1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( eqbreln1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( breln1invprop = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( breln1invI = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( breln1invE = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( breln1compprop = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( breln1compI = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( breln1compE = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( breln1compEex = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( breln1unionprop = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( breln1unionIL = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( breln1unionIR = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( breln1unionI = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( breln1unionE = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( breln1unionEcases = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( breln1unionCommutes = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( woz2Ex = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( woz2W = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( woz2A = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( woz2B = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( image1Ex = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( image1Ex1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( image1Equiv = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( image1E = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( image1I = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( injFuncInInjFuncSet = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( injFuncSetFuncIn = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( injFuncSetFuncInj = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( surjFuncSetFuncIn = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( surjFuncSetFuncSurj = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( leftInvIsSurj = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( surjCantorThm = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( foundation2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( notinself = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( notinself2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ( ( omegaSp = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ( ( omegaSclos = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ( ( peano0notS = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ( ( peanoSinj = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( transitivesetOp1 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( binintTransitive = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       => ( ( transitivesetOp2 = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ( ( setunionTransitive = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ! [X0: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ( ( ( ordinal @ X0 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ! [X1: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ( ( ( ordinal @ X1 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      = $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f391]) ).

thf(f436,plain,
    ( ( ^ [X0: $i] :
          ( ( transitiveset @ X0 )
          & ( wellorderedByIn @ X0 ) ) )
    = ordinal ),
    inference(rectify,[],[f338]) ).

thf(f437,plain,
    ( ordinal
    = ( ^ [Y0: $i] :
          ( ( wellorderedByIn @ Y0 )
          & ( transitiveset @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f436]) ).

thf(f717,plain,
    ! [X0: $i] :
      ( ( ( transitiveset @ X0 )
       => ! [X1: $i] :
            ( ( transitiveset @ X1 )
           => ( transitiveset @ ( binintersect @ X0 @ X1 ) ) ) )
      = binintTransitive ),
    inference(rectify,[],[f333]) ).

thf(f718,plain,
    ( ! [X0: $i] :
        ( ( ( transitiveset @ X0 )
          = $true )
       => ! [X1: $i] :
            ( ( ( transitiveset @ X1 )
              = $true )
           => ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
              = $true ) ) )
  <=> ( binintTransitive = $true ) ),
    inference(fool_elimination,[],[f717]) ).

thf(f1120,plain,
    ( ? [X0: $i] :
        ( ( ( ordinal @ X0 )
          = $true )
        & ? [X1: $i] :
            ( ( ( ordinal @ X1 )
              = $true )
            & ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
             != $true ) ) )
    & ( setunionTransitive = $true )
    & ( transitivesetOp2 = $true )
    & ( binintTransitive = $true )
    & ( transitivesetOp1 = $true )
    & ( peanoSinj = $true )
    & ( peano0notS = $true )
    & ( omegaSclos = $true )
    & ( omegaSp = $true )
    & ( notinself2 = $true )
    & ( notinself = $true )
    & ( foundation2 = $true )
    & ( surjCantorThm = $true )
    & ( leftInvIsSurj = $true )
    & ( surjFuncSetFuncSurj = $true )
    & ( surjFuncSetFuncIn = $true )
    & ( injFuncSetFuncInj = $true )
    & ( injFuncSetFuncIn = $true )
    & ( injFuncInInjFuncSet = $true )
    & ( image1I = $true )
    & ( image1E = $true )
    & ( image1Equiv = $true )
    & ( image1Ex1 = $true )
    & ( image1Ex = $true )
    & ( woz2B = $true )
    & ( woz2A = $true )
    & ( woz2W = $true )
    & ( woz2Ex = $true )
    & ( breln1unionCommutes = $true )
    & ( breln1unionEcases = $true )
    & ( breln1unionE = $true )
    & ( breln1unionI = $true )
    & ( breln1unionIR = $true )
    & ( breln1unionIL = $true )
    & ( breln1unionprop = $true )
    & ( breln1compEex = $true )
    & ( breln1compE = $true )
    & ( breln1compI = $true )
    & ( breln1compprop = $true )
    & ( breln1invE = $true )
    & ( breln1invI = $true )
    & ( breln1invprop = $true )
    & ( eqbreln1 = $true )
    & ( subbreln1 = $true )
    & ( breln1all1 = $true )
    & ( setOfPairsIsBReln1 = $true )
    & ( choice2fnsingleton = $true )
    & ( breln1SetBreln1 = $true )
    & ( breln1all2 = $true )
    & ( woz1_5 = $true )
    & ( woz1_4 = $true )
    & ( woz1_3 = $true )
    & ( woz1_2 = $true )
    & ( woz1_1 = $true )
    & ( woz13rule4 = $true )
    & ( woz13rule3 = $true )
    & ( woz13rule2 = $true )
    & ( woz13rule1 = $true )
    & ( woz13rule0 = $true )
    & ( demorgan2 = $true )
    & ( demorgan2b = $true )
    & ( demorgan2b2 = $true )
    & ( demorgan2a = $true )
    & ( demorgan1 = $true )
    & ( demorgan1b = $true )
    & ( demorgan1a = $true )
    & ( demorgan2a2 = $true )
    & ( complementUnionInPowersetComplement = $true )
    & ( demorgan2a1 = $true )
    & ( binunionTEcontra = $true )
    & ( binunionTE = $true )
    & ( inComplementUnionImpInComplement1 = $true )
    & ( inComplementUnionImpNotIn1 = $true )
    & ( intersectInPowersetIntersectUnions = $true )
    & ( inIntersectImpInIntersectUnions = $true )
    & ( inIntersectImpInUnion2 = $true )
    & ( inIntersectImpInUnion = $true )
    & ( binunionTIRcontra = $true )
    & ( binunionTILcontra = $true )
    & ( complementTcontraSubset = $true )
    & ( contraSubsetComplement = $true )
    & ( complementInPowersetComplementIntersect = $true )
    & ( complementSubsetComplementIntersect = $true )
    & ( complementImpComplementIntersect = $true )
    & ( complementTnotintersectT = $true )
    & ( doubleComplementEq = $true )
    & ( doubleComplementSub2 = $true )
    & ( doubleComplementSub1 = $true )
    & ( doubleComplementE1 = $true )
    & ( doubleComplementI1 = $true )
    & ( contrasubsetT3 = $true )
    & ( contrasubsetT2 = $true )
    & ( contrasubsetT1 = $true )
    & ( contrasubsetT = $true )
    & ( binintersectTERcontra = $true )
    & ( binintersectTELcontra = $true )
    & ( complementTE1 = $true )
    & ( complementTI1 = $true )
    & ( powersetTE1 = $true )
    & ( powersetTI1 = $true )
    & ( subsetTI = $true )
    & ( setextT = $true )
    & ( complementT_lem = $true )
    & ( setminusT_lem = $true )
    & ( powersetT_lem = $true )
    & ( binunionT_lem = $true )
    & ( binintersectT_lem = $true )
    & ( iftrueorfalse = $true )
    & ( iffalse = $true )
    & ( iftrue = $true )
    & ( theeq = $true )
    & ( ifp = $true )
    & ( ifSingleton = $true )
    & ( iftrueProp2 = $true )
    & ( iftrueProp1 = $true )
    & ( iffalseProp2 = $true )
    & ( iffalseProp1 = $true )
    & ( eta2 = $true )
    & ( beta2 = $true )
    & ( lam2lamEq = $true )
    & ( eta1 = $true )
    & ( beta1 = $true )
    & ( ap2apEq2 = $true )
    & ( ap2apEq1 = $true )
    & ( funcext2 = $true )
    & ( funcext = $true )
    & ( eqbreln = $true )
    & ( subbreln = $true )
    & ( funcGraphProp4 = $true )
    & ( funcextLem = $true )
    & ( funcGraphProp2 = $true )
    & ( funcGraphProp3 = $true )
    & ( funcGraphProp1 = $true )
    & ( ex1E2 = $true )
    & ( brelnall2 = $true )
    & ( brelnall1 = $true )
    & ( lam2p = $true )
    & ( lamp = $true )
    & ( lamProp = $true )
    & ( funcinfuncset = $true )
    & ( ap2p = $true )
    & ( infuncsetfunc = $true )
    & ( app = $true )
    & ( apProp = $true )
    & ( funcImageSingleton = $true )
    & ( dpsetconstrER = $true )
    & ( dpsetconstrEL2 = $true )
    & ( dpsetconstrEL1 = $true )
    & ( dpsetconstrERa = $true )
    & ( setOfPairsIsBReln = $true )
    & ( dpsetconstrSub = $true )
    & ( dpsetconstrI = $true )
    & ( cartprodpairsurjEq = $true )
    & ( cartprodsndpairEq = $true )
    & ( cartprodfstpairEq = $true )
    & ( cartprodmempaircEq = $true )
    & ( cartprodpairmemER = $true )
    & ( cartprodpairmemEL = $true )
    & ( cartprodsndin = $true )
    & ( kpairsurjEq = $true )
    & ( ksndpairEq = $true )
    & ( ksndsingleton = $true )
    & ( setukpairinjR = $true )
    & ( setukpairinjR2 = $true )
    & ( upairequniteq = $true )
    & ( setukpairinjR1 = $true )
    & ( setukpairinjR12 = $true )
    & ( setukpairinjR11 = $true )
    & ( setukpairinjL = $true )
    & ( setukpairinjL2 = $true )
    & ( cartprodfstin = $true )
    & ( kfstpairEq = $true )
    & ( theprop = $true )
    & ( kfstsingleton = $true )
    & ( setukpairinjL1 = $true )
    & ( singletonsuniq = $true )
    & ( ex1I2 = $true )
    & ( ex1I = $true )
    & ( ex1E1 = $true )
    & ( singletonprop = $true )
    & ( setunionsingleton = $true )
    & ( setunionsingleton2 = $true )
    & ( setunionsingleton1 = $true )
    & ( setunionE2 = $true )
    & ( cartprodmempair = $true )
    & ( cartprodmempair1 = $true )
    & ( cartprodpairin = $true )
    & ( ubforcartprodlem3 = $true )
    & ( ubforcartprodlem2 = $true )
    & ( ubforcartprodlem1 = $true )
    & ( upairinpowunion = $true )
    & ( upairsubunion = $true )
    & ( upairset2E = $true )
    & ( singletoninpowunion = $true )
    & ( singletoninpowerset = $true )
    & ( singletonsubset = $true )
    & ( kpairp = $true )
    & ( kpairiskpair = $true )
    & ( setukpairIR = $true )
    & ( setukpairIL = $true )
    & ( secondinupair = $true )
    & ( symdiffIneg2 = $true )
    & ( symdiffIneg1 = $true )
    & ( symdiffI2 = $true )
    & ( symdiffI1 = $true )
    & ( symdiffE = $true )
    & ( setminusSubset1 = $true )
    & ( setminusLsub = $true )
    & ( setminusIRneg = $true )
    & ( setminusILneg = $true )
    & ( setminusELneg = $true )
    & ( setminusERneg = $true )
    & ( setminusSubset2 = $true )
    & ( setminusER = $true )
    & ( setminusEL = $true )
    & ( setminusI = $true )
    & ( bs114d = $true )
    & ( binintersectSubset1 = $true )
    & ( binintersectSubset4 = $true )
    & ( binintersectRsub = $true )
    & ( disjointsetsI1 = $true )
    & ( binintersectER = $true )
    & ( binintersectSubset3 = $true )
    & ( binintersectSubset2 = $true )
    & ( binintersectLsub = $true )
    & ( binintersectEL = $true )
    & ( binintersectSubset5 = $true )
    & ( binintersectI = $true )
    & ( binunionRsub = $true )
    & ( binunionLsub = $true )
    & ( binunionE = $true )
    & ( binunionEcases = $true )
    & ( binunionIR = $true )
    & ( upairset2IR = $true )
    & ( binunionIL = $true )
    & ( sepSubset = $true )
    & ( sepInPowerset = $true )
    & ( powersetsubset = $true )
    & ( inPowerset = $true )
    & ( powersetE1 = $true )
    & ( powersetI1 = $true )
    & ( subsetemptysetimpeq = $true )
    & ( setextsub = $true )
    & ( subset2powerset = $true )
    & ( setadjoinSub2 = $true )
    & ( setadjoinSub = $true )
    & ( subsetTrans = $true )
    & ( subsetRefl = $true )
    & ( notequalI2 = $true )
    & ( notequalI1 = $true )
    & ( notsubsetI = $true )
    & ( subsetE2 = $true )
    & ( subsetE = $true )
    & ( emptysetsubset = $true )
    & ( subsetI2 = $true )
    & ( eqimpsubset1 = $true )
    & ( eqimpsubset2 = $true )
    & ( subsetI1 = $true )
    & ( dsetconstr__Cong = $true )
    & ( descr__Cong = $true )
    & ( exuEu = $true )
    & ( omega__Cong = $true )
    & ( setunion__Cong = $true )
    & ( powerset__Cong = $true )
    & ( setadjoin__Cong = $true )
    & ( emptyset__Cong = $true )
    & ( exu__Cong = $true )
    & ( exuE3u = $true )
    & ( in__Cong = $true )
    & ( inCongP = $true )
    & ( exuI2 = $true )
    & ( exuI3 = $true )
    & ( exuI1 = $true )
    & ( notdallE = $true )
    & ( notdexE = $true )
    & ( prop2set2propI = $true )
    & ( prop2setI = $true )
    & ( quantDeMorgan4 = $true )
    & ( quantDeMorgan3 = $true )
    & ( quantDeMorgan2 = $true )
    & ( quantDeMorgan1 = $true )
    & ( vacuousDall = $true )
    & ( emptyE1 = $true )
    & ( upairsetIR = $true )
    & ( upairsetIL = $true )
    & ( upairsetE = $true )
    & ( singletonsswitch = $true )
    & ( eqinunit = $true )
    & ( notinsingleton = $true )
    & ( uniqinunit = $true )
    & ( nonemptyImpWitness = $true )
    & ( exuE2 = $true )
    & ( subPowSU = $true )
    & ( setunionE = $true )
    & ( setunionI = $true )
    & ( powersetE = $true )
    & ( emptyInPowerset = $true )
    & ( emptyinPowerset = $true )
    & ( powersetI = $true )
    & ( setoftrueEq = $true )
    & ( setadjoinOr = $true )
    & ( setadjoinE = $true )
    & ( setadjoinIR = $true )
    & ( emptyinunitempty = $true )
    & ( setadjoinIL = $true )
    & ( nonemptyI1 = $true )
    & ( nonemptyI = $true )
    & ( nonemptyE1 = $true )
    & ( setbeta = $true )
    & ( noeltsimpempty = $true )
    & ( emptyI = $true )
    & ( setext = $true )
    & ( exuE3e = $true )
    & ( notinemptyset = $true )
    & ( emptysetimpfalse = $true )
    & ( emptysetE = $true )
    & ( prop2setE = $true )
    & ( exuE1 = $true )
    & ( dsetconstrER = $true )
    & ( dsetconstrEL = $true )
    & ( dsetconstrI = $true )
    & ( descrp = $true )
    & ( wellorderingAx = $true )
    & ( foundationAx = $true )
    & ( replAx = $true )
    & ( omegaIndAx = $true )
    & ( omegaSAx = $true )
    & ( omega0Ax = $true )
    & ( setunionAx = $true )
    & ( powersetAx = $true )
    & ( setadjoinAx = $true )
    & ( emptysetAx = $true )
    & ( setextAx = $true ) ),
    inference(ennf_transformation,[],[f392]) ).

thf(f1121,plain,
    ( ( kfstsingleton = $true )
    & ( vacuousDall = $true )
    & ( binintersectRsub = $true )
    & ( woz1_5 = $true )
    & ( setoftrueEq = $true )
    & ( contrasubsetT = $true )
    & ( setunionsingleton = $true )
    & ( eta1 = $true )
    & ( dsetconstrI = $true )
    & ( ap2apEq2 = $true )
    & ( inComplementUnionImpNotIn1 = $true )
    & ( doubleComplementSub2 = $true )
    & ( ubforcartprodlem3 = $true )
    & ( notequalI2 = $true )
    & ( doubleComplementE1 = $true )
    & ( setminusSubset2 = $true )
    & ( setadjoin__Cong = $true )
    & ( cartprodmempaircEq = $true )
    & ( binintersectSubset5 = $true )
    & ( setunionsingleton2 = $true )
    & ( quantDeMorgan3 = $true )
    & ( binunionIL = $true )
    & ( cartprodmempair1 = $true )
    & ( woz2Ex = $true )
    & ( subbreln1 = $true )
    & ( infuncsetfunc = $true )
    & ( binintersectTELcontra = $true )
    & ( setunionE2 = $true )
    & ( ex1E1 = $true )
    & ( notsubsetI = $true )
    & ( ifp = $true )
    & ( notinself2 = $true )
    & ( emptysetAx = $true )
    & ( breln1unionEcases = $true )
    & ( breln1all1 = $true )
    & ( binunionLsub = $true )
    & ( binintersectT_lem = $true )
    & ( woz13rule3 = $true )
    & ( lamProp = $true )
    & ( breln1compEex = $true )
    & ( setbeta = $true )
    & ( setunionE = $true )
    & ( setunionsingleton1 = $true )
    & ( peanoSinj = $true )
    & ? [X0: $i] :
        ( ( ( ordinal @ X0 )
          = $true )
        & ? [X1: $i] :
            ( ( ( ordinal @ X1 )
              = $true )
            & ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
             != $true ) ) )
    & ( setukpairinjR11 = $true )
    & ( breln1SetBreln1 = $true )
    & ( exuE3u = $true )
    & ( inPowerset = $true )
    & ( setminusLsub = $true )
    & ( powersetTI1 = $true )
    & ( foundationAx = $true )
    & ( beta2 = $true )
    & ( cartprodpairmemEL = $true )
    & ( subsetRefl = $true )
    & ( descrp = $true )
    & ( inIntersectImpInUnion = $true )
    & ( kpairsurjEq = $true )
    & ( powersetI = $true )
    & ( notdexE = $true )
    & ( intersectInPowersetIntersectUnions = $true )
    & ( upairequniteq = $true )
    & ( demorgan2a = $true )
    & ( ap2apEq1 = $true )
    & ( uniqinunit = $true )
    & ( woz2B = $true )
    & ( powersetsubset = $true )
    & ( subsetTrans = $true )
    & ( binintTransitive = $true )
    & ( sepInPowerset = $true )
    & ( binunionT_lem = $true )
    & ( dpsetconstrEL2 = $true )
    & ( binintersectSubset4 = $true )
    & ( image1E = $true )
    & ( setukpairinjR2 = $true )
    & ( inIntersectImpInUnion2 = $true )
    & ( iffalseProp1 = $true )
    & ( singletonsuniq = $true )
    & ( symdiffE = $true )
    & ( funcext2 = $true )
    & ( funcImageSingleton = $true )
    & ( surjFuncSetFuncIn = $true )
    & ( binunionEcases = $true )
    & ( setukpairinjL = $true )
    & ( cartprodfstpairEq = $true )
    & ( notinemptyset = $true )
    & ( cartprodsndpairEq = $true )
    & ( omegaSAx = $true )
    & ( setminusT_lem = $true )
    & ( in__Cong = $true )
    & ( iftrueorfalse = $true )
    & ( breln1unionIL = $true )
    & ( woz13rule0 = $true )
    & ( theeq = $true )
    & ( breln1compprop = $true )
    & ( binintersectER = $true )
    & ( demorgan1b = $true )
    & ( omegaSclos = $true )
    & ( complementTE1 = $true )
    & ( upairset2IR = $true )
    & ( eqbreln1 = $true )
    & ( setunionTransitive = $true )
    & ( setukpairinjR = $true )
    & ( cartprodpairmemER = $true )
    & ( upairsetE = $true )
    & ( image1I = $true )
    & ( binintersectSubset3 = $true )
    & ( upairsubunion = $true )
    & ( brelnall1 = $true )
    & ( contraSubsetComplement = $true )
    & ( inCongP = $true )
    & ( breln1unionIR = $true )
    & ( setukpairIL = $true )
    & ( demorgan2 = $true )
    & ( doubleComplementI1 = $true )
    & ( dpsetconstrER = $true )
    & ( powersetE = $true )
    & ( breln1unionE = $true )
    & ( eqimpsubset2 = $true )
    & ( exuI1 = $true )
    & ( notequalI1 = $true )
    & ( beta1 = $true )
    & ( secondinupair = $true )
    & ( woz1_3 = $true )
    & ( eqinunit = $true )
    & ( exuE1 = $true )
    & ( subbreln = $true )
    & ( notinsingleton = $true )
    & ( woz1_1 = $true )
    & ( disjointsetsI1 = $true )
    & ( contrasubsetT1 = $true )
    & ( binunionTEcontra = $true )
    & ( iffalseProp2 = $true )
    & ( doubleComplementSub1 = $true )
    & ( complementTnotintersectT = $true )
    & ( surjFuncSetFuncSurj = $true )
    & ( emptysetsubset = $true )
    & ( demorgan2a2 = $true )
    & ( setminusSubset1 = $true )
    & ( transitivesetOp1 = $true )
    & ( setadjoinOr = $true )
    & ( binunionIR = $true )
    & ( omegaIndAx = $true )
    & ( ap2p = $true )
    & ( wellorderingAx = $true )
    & ( setextAx = $true )
    & ( setunionI = $true )
    & ( demorgan2b2 = $true )
    & ( notdallE = $true )
    & ( emptysetE = $true )
    & ( complementUnionInPowersetComplement = $true )
    & ( contrasubsetT3 = $true )
    & ( woz13rule4 = $true )
    & ( ifSingleton = $true )
    & ( iftrueProp2 = $true )
    & ( binintersectSubset2 = $true )
    & ( demorgan1a = $true )
    & ( noeltsimpempty = $true )
    & ( nonemptyE1 = $true )
    & ( binunionRsub = $true )
    & ( lam2lamEq = $true )
    & ( transitivesetOp2 = $true )
    & ( woz13rule1 = $true )
    & ( subsetI2 = $true )
    & ( powersetE1 = $true )
    & ( choice2fnsingleton = $true )
    & ( leftInvIsSurj = $true )
    & ( breln1unionI = $true )
    & ( notinself = $true )
    & ( quantDeMorgan1 = $true )
    & ( woz1_2 = $true )
    & ( inComplementUnionImpInComplement1 = $true )
    & ( prop2set2propI = $true )
    & ( woz13rule2 = $true )
    & ( lam2p = $true )
    & ( setukpairIR = $true )
    & ( ex1E2 = $true )
    & ( singletonsswitch = $true )
    & ( demorgan2b = $true )
    & ( dsetconstrEL = $true )
    & ( complementImpComplementIntersect = $true )
    & ( binunionTILcontra = $true )
    & ( app = $true )
    & ( symdiffIneg1 = $true )
    & ( singletoninpowunion = $true )
    & ( setextT = $true )
    & ( breln1invI = $true )
    & ( exuI2 = $true )
    & ( ksndpairEq = $true )
    & ( setminusELneg = $true )
    & ( binintersectSubset1 = $true )
    & ( nonemptyI1 = $true )
    & ( ksndsingleton = $true )
    & ( injFuncSetFuncInj = $true )
    & ( peano0notS = $true )
    & ( lamp = $true )
    & ( symdiffIneg2 = $true )
    & ( exuE2 = $true )
    & ( quantDeMorgan4 = $true )
    & ( apProp = $true )
    & ( cartprodpairsurjEq = $true )
    & ( setukpairinjL1 = $true )
    & ( setukpairinjR12 = $true )
    & ( descr__Cong = $true )
    & ( woz2A = $true )
    & ( kpairiskpair = $true )
    & ( complementT_lem = $true )
    & ( complementTcontraSubset = $true )
    & ( bs114d = $true )
    & ( subsetE2 = $true )
    & ( quantDeMorgan2 = $true )
    & ( exu__Cong = $true )
    & ( symdiffI1 = $true )
    & ( setminusERneg = $true )
    & ( doubleComplementEq = $true )
    & ( demorgan1 = $true )
    & ( emptyInPowerset = $true )
    & ( surjCantorThm = $true )
    & ( nonemptyI = $true )
    & ( cartprodpairin = $true )
    & ( upairsetIL = $true )
    & ( contrasubsetT2 = $true )
    & ( subsetTI = $true )
    & ( setadjoinSub = $true )
    & ( binintersectTERcontra = $true )
    & ( cartprodmempair = $true )
    & ( powersetT_lem = $true )
    & ( subset2powerset = $true )
    & ( breln1invprop = $true )
    & ( breln1invE = $true )
    & ( singletoninpowerset = $true )
    & ( dpsetconstrERa = $true )
    & ( exuEu = $true )
    & ( prop2setI = $true )
    & ( setunionAx = $true )
    & ( injFuncSetFuncIn = $true )
    & ( breln1compI = $true )
    & ( singletonsubset = $true )
    & ( sepSubset = $true )
    & ( omega__Cong = $true )
    & ( dpsetconstrSub = $true )
    & ( image1Equiv = $true )
    & ( funcGraphProp2 = $true )
    & ( setminusEL = $true )
    & ( emptyinunitempty = $true )
    & ( image1Ex1 = $true )
    & ( dpsetconstrEL1 = $true )
    & ( setadjoinIL = $true )
    & ( woz1_4 = $true )
    & ( upairsetIR = $true )
    & ( setOfPairsIsBReln1 = $true )
    & ( powersetI1 = $true )
    & ( breln1compE = $true )
    & ( prop2setE = $true )
    & ( setukpairinjR1 = $true )
    & ( subsetemptysetimpeq = $true )
    & ( breln1all2 = $true )
    & ( binintersectI = $true )
    & ( breln1unionCommutes = $true )
    & ( powersetTE1 = $true )
    & ( ubforcartprodlem2 = $true )
    & ( subsetE = $true )
    & ( image1Ex = $true )
    & ( setadjoinE = $true )
    & ( eqbreln = $true )
    & ( binunionTE = $true )
    & ( upairset2E = $true )
    & ( setadjoinIR = $true )
    & ( emptyI = $true )
    & ( binunionE = $true )
    & ( setext = $true )
    & ( emptyinPowerset = $true )
    & ( dsetconstrER = $true )
    & ( symdiffI2 = $true )
    & ( setminusILneg = $true )
    & ( setminusIRneg = $true )
    & ( inIntersectImpInIntersectUnions = $true )
    & ( dpsetconstrI = $true )
    & ( theprop = $true )
    & ( emptyE1 = $true )
    & ( funcGraphProp4 = $true )
    & ( kfstpairEq = $true )
    & ( singletonprop = $true )
    & ( ubforcartprodlem1 = $true )
    & ( breln1unionprop = $true )
    & ( powerset__Cong = $true )
    & ( emptyset__Cong = $true )
    & ( funcextLem = $true )
    & ( eqimpsubset1 = $true )
    & ( emptysetimpfalse = $true )
    & ( setminusI = $true )
    & ( funcinfuncset = $true )
    & ( omega0Ax = $true )
    & ( upairinpowunion = $true )
    & ( setOfPairsIsBReln = $true )
    & ( binintersectEL = $true )
    & ( setukpairinjL2 = $true )
    & ( binintersectLsub = $true )
    & ( omegaSp = $true )
    & ( subPowSU = $true )
    & ( setextsub = $true )
    & ( ex1I = $true )
    & ( setminusER = $true )
    & ( iftrue = $true )
    & ( foundation2 = $true )
    & ( dsetconstr__Cong = $true )
    & ( cartprodfstin = $true )
    & ( iffalse = $true )
    & ( complementTI1 = $true )
    & ( funcGraphProp1 = $true )
    & ( injFuncInInjFuncSet = $true )
    & ( demorgan2a1 = $true )
    & ( powersetAx = $true )
    & ( setunion__Cong = $true )
    & ( eta2 = $true )
    & ( funcGraphProp3 = $true )
    & ( complementSubsetComplementIntersect = $true )
    & ( setadjoinSub2 = $true )
    & ( replAx = $true )
    & ( complementInPowersetComplementIntersect = $true )
    & ( brelnall2 = $true )
    & ( binunionTIRcontra = $true )
    & ( subsetI1 = $true )
    & ( woz2W = $true )
    & ( ex1I2 = $true )
    & ( setadjoinAx = $true )
    & ( funcext = $true )
    & ( iftrueProp1 = $true )
    & ( exuI3 = $true )
    & ( cartprodsndin = $true )
    & ( nonemptyImpWitness = $true )
    & ( kpairp = $true )
    & ( exuE3e = $true ) ),
    inference(flattening,[],[f1120]) ).

thf(f1331,plain,
    ( ! [X0: $i] :
        ( ( ( transitiveset @ X0 )
         != $true )
        | ! [X1: $i] :
            ( ( ( transitiveset @ X1 )
             != $true )
            | ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
              = $true ) ) )
  <=> ( binintTransitive = $true ) ),
    inference(ennf_transformation,[],[f718]) ).

thf(f1577,plain,
    ( ( kfstsingleton = $true )
    & ( vacuousDall = $true )
    & ( binintersectRsub = $true )
    & ( woz1_5 = $true )
    & ( setoftrueEq = $true )
    & ( contrasubsetT = $true )
    & ( setunionsingleton = $true )
    & ( eta1 = $true )
    & ( dsetconstrI = $true )
    & ( ap2apEq2 = $true )
    & ( inComplementUnionImpNotIn1 = $true )
    & ( doubleComplementSub2 = $true )
    & ( ubforcartprodlem3 = $true )
    & ( notequalI2 = $true )
    & ( doubleComplementE1 = $true )
    & ( setminusSubset2 = $true )
    & ( setadjoin__Cong = $true )
    & ( cartprodmempaircEq = $true )
    & ( binintersectSubset5 = $true )
    & ( setunionsingleton2 = $true )
    & ( quantDeMorgan3 = $true )
    & ( binunionIL = $true )
    & ( cartprodmempair1 = $true )
    & ( woz2Ex = $true )
    & ( subbreln1 = $true )
    & ( infuncsetfunc = $true )
    & ( binintersectTELcontra = $true )
    & ( setunionE2 = $true )
    & ( ex1E1 = $true )
    & ( notsubsetI = $true )
    & ( ifp = $true )
    & ( notinself2 = $true )
    & ( emptysetAx = $true )
    & ( breln1unionEcases = $true )
    & ( breln1all1 = $true )
    & ( binunionLsub = $true )
    & ( binintersectT_lem = $true )
    & ( woz13rule3 = $true )
    & ( lamProp = $true )
    & ( breln1compEex = $true )
    & ( setbeta = $true )
    & ( setunionE = $true )
    & ( setunionsingleton1 = $true )
    & ( peanoSinj = $true )
    & ( $true
      = ( ordinal @ sK124 ) )
    & ( $true
      = ( ordinal @ sK125 ) )
    & ( $true
     != ( transitiveset @ ( binintersect @ sK124 @ sK125 ) ) )
    & ( setukpairinjR11 = $true )
    & ( breln1SetBreln1 = $true )
    & ( exuE3u = $true )
    & ( inPowerset = $true )
    & ( setminusLsub = $true )
    & ( powersetTI1 = $true )
    & ( foundationAx = $true )
    & ( beta2 = $true )
    & ( cartprodpairmemEL = $true )
    & ( subsetRefl = $true )
    & ( descrp = $true )
    & ( inIntersectImpInUnion = $true )
    & ( kpairsurjEq = $true )
    & ( powersetI = $true )
    & ( notdexE = $true )
    & ( intersectInPowersetIntersectUnions = $true )
    & ( upairequniteq = $true )
    & ( demorgan2a = $true )
    & ( ap2apEq1 = $true )
    & ( uniqinunit = $true )
    & ( woz2B = $true )
    & ( powersetsubset = $true )
    & ( subsetTrans = $true )
    & ( binintTransitive = $true )
    & ( sepInPowerset = $true )
    & ( binunionT_lem = $true )
    & ( dpsetconstrEL2 = $true )
    & ( binintersectSubset4 = $true )
    & ( image1E = $true )
    & ( setukpairinjR2 = $true )
    & ( inIntersectImpInUnion2 = $true )
    & ( iffalseProp1 = $true )
    & ( singletonsuniq = $true )
    & ( symdiffE = $true )
    & ( funcext2 = $true )
    & ( funcImageSingleton = $true )
    & ( surjFuncSetFuncIn = $true )
    & ( binunionEcases = $true )
    & ( setukpairinjL = $true )
    & ( cartprodfstpairEq = $true )
    & ( notinemptyset = $true )
    & ( cartprodsndpairEq = $true )
    & ( omegaSAx = $true )
    & ( setminusT_lem = $true )
    & ( in__Cong = $true )
    & ( iftrueorfalse = $true )
    & ( breln1unionIL = $true )
    & ( woz13rule0 = $true )
    & ( theeq = $true )
    & ( breln1compprop = $true )
    & ( binintersectER = $true )
    & ( demorgan1b = $true )
    & ( omegaSclos = $true )
    & ( complementTE1 = $true )
    & ( upairset2IR = $true )
    & ( eqbreln1 = $true )
    & ( setunionTransitive = $true )
    & ( setukpairinjR = $true )
    & ( cartprodpairmemER = $true )
    & ( upairsetE = $true )
    & ( image1I = $true )
    & ( binintersectSubset3 = $true )
    & ( upairsubunion = $true )
    & ( brelnall1 = $true )
    & ( contraSubsetComplement = $true )
    & ( inCongP = $true )
    & ( breln1unionIR = $true )
    & ( setukpairIL = $true )
    & ( demorgan2 = $true )
    & ( doubleComplementI1 = $true )
    & ( dpsetconstrER = $true )
    & ( powersetE = $true )
    & ( breln1unionE = $true )
    & ( eqimpsubset2 = $true )
    & ( exuI1 = $true )
    & ( notequalI1 = $true )
    & ( beta1 = $true )
    & ( secondinupair = $true )
    & ( woz1_3 = $true )
    & ( eqinunit = $true )
    & ( exuE1 = $true )
    & ( subbreln = $true )
    & ( notinsingleton = $true )
    & ( woz1_1 = $true )
    & ( disjointsetsI1 = $true )
    & ( contrasubsetT1 = $true )
    & ( binunionTEcontra = $true )
    & ( iffalseProp2 = $true )
    & ( doubleComplementSub1 = $true )
    & ( complementTnotintersectT = $true )
    & ( surjFuncSetFuncSurj = $true )
    & ( emptysetsubset = $true )
    & ( demorgan2a2 = $true )
    & ( setminusSubset1 = $true )
    & ( transitivesetOp1 = $true )
    & ( setadjoinOr = $true )
    & ( binunionIR = $true )
    & ( omegaIndAx = $true )
    & ( ap2p = $true )
    & ( wellorderingAx = $true )
    & ( setextAx = $true )
    & ( setunionI = $true )
    & ( demorgan2b2 = $true )
    & ( notdallE = $true )
    & ( emptysetE = $true )
    & ( complementUnionInPowersetComplement = $true )
    & ( contrasubsetT3 = $true )
    & ( woz13rule4 = $true )
    & ( ifSingleton = $true )
    & ( iftrueProp2 = $true )
    & ( binintersectSubset2 = $true )
    & ( demorgan1a = $true )
    & ( noeltsimpempty = $true )
    & ( nonemptyE1 = $true )
    & ( binunionRsub = $true )
    & ( lam2lamEq = $true )
    & ( transitivesetOp2 = $true )
    & ( woz13rule1 = $true )
    & ( subsetI2 = $true )
    & ( powersetE1 = $true )
    & ( choice2fnsingleton = $true )
    & ( leftInvIsSurj = $true )
    & ( breln1unionI = $true )
    & ( notinself = $true )
    & ( quantDeMorgan1 = $true )
    & ( woz1_2 = $true )
    & ( inComplementUnionImpInComplement1 = $true )
    & ( prop2set2propI = $true )
    & ( woz13rule2 = $true )
    & ( lam2p = $true )
    & ( setukpairIR = $true )
    & ( ex1E2 = $true )
    & ( singletonsswitch = $true )
    & ( demorgan2b = $true )
    & ( dsetconstrEL = $true )
    & ( complementImpComplementIntersect = $true )
    & ( binunionTILcontra = $true )
    & ( app = $true )
    & ( symdiffIneg1 = $true )
    & ( singletoninpowunion = $true )
    & ( setextT = $true )
    & ( breln1invI = $true )
    & ( exuI2 = $true )
    & ( ksndpairEq = $true )
    & ( setminusELneg = $true )
    & ( binintersectSubset1 = $true )
    & ( nonemptyI1 = $true )
    & ( ksndsingleton = $true )
    & ( injFuncSetFuncInj = $true )
    & ( peano0notS = $true )
    & ( lamp = $true )
    & ( symdiffIneg2 = $true )
    & ( exuE2 = $true )
    & ( quantDeMorgan4 = $true )
    & ( apProp = $true )
    & ( cartprodpairsurjEq = $true )
    & ( setukpairinjL1 = $true )
    & ( setukpairinjR12 = $true )
    & ( descr__Cong = $true )
    & ( woz2A = $true )
    & ( kpairiskpair = $true )
    & ( complementT_lem = $true )
    & ( complementTcontraSubset = $true )
    & ( bs114d = $true )
    & ( subsetE2 = $true )
    & ( quantDeMorgan2 = $true )
    & ( exu__Cong = $true )
    & ( symdiffI1 = $true )
    & ( setminusERneg = $true )
    & ( doubleComplementEq = $true )
    & ( demorgan1 = $true )
    & ( emptyInPowerset = $true )
    & ( surjCantorThm = $true )
    & ( nonemptyI = $true )
    & ( cartprodpairin = $true )
    & ( upairsetIL = $true )
    & ( contrasubsetT2 = $true )
    & ( subsetTI = $true )
    & ( setadjoinSub = $true )
    & ( binintersectTERcontra = $true )
    & ( cartprodmempair = $true )
    & ( powersetT_lem = $true )
    & ( subset2powerset = $true )
    & ( breln1invprop = $true )
    & ( breln1invE = $true )
    & ( singletoninpowerset = $true )
    & ( dpsetconstrERa = $true )
    & ( exuEu = $true )
    & ( prop2setI = $true )
    & ( setunionAx = $true )
    & ( injFuncSetFuncIn = $true )
    & ( breln1compI = $true )
    & ( singletonsubset = $true )
    & ( sepSubset = $true )
    & ( omega__Cong = $true )
    & ( dpsetconstrSub = $true )
    & ( image1Equiv = $true )
    & ( funcGraphProp2 = $true )
    & ( setminusEL = $true )
    & ( emptyinunitempty = $true )
    & ( image1Ex1 = $true )
    & ( dpsetconstrEL1 = $true )
    & ( setadjoinIL = $true )
    & ( woz1_4 = $true )
    & ( upairsetIR = $true )
    & ( setOfPairsIsBReln1 = $true )
    & ( powersetI1 = $true )
    & ( breln1compE = $true )
    & ( prop2setE = $true )
    & ( setukpairinjR1 = $true )
    & ( subsetemptysetimpeq = $true )
    & ( breln1all2 = $true )
    & ( binintersectI = $true )
    & ( breln1unionCommutes = $true )
    & ( powersetTE1 = $true )
    & ( ubforcartprodlem2 = $true )
    & ( subsetE = $true )
    & ( image1Ex = $true )
    & ( setadjoinE = $true )
    & ( eqbreln = $true )
    & ( binunionTE = $true )
    & ( upairset2E = $true )
    & ( setadjoinIR = $true )
    & ( emptyI = $true )
    & ( binunionE = $true )
    & ( setext = $true )
    & ( emptyinPowerset = $true )
    & ( dsetconstrER = $true )
    & ( symdiffI2 = $true )
    & ( setminusILneg = $true )
    & ( setminusIRneg = $true )
    & ( inIntersectImpInIntersectUnions = $true )
    & ( dpsetconstrI = $true )
    & ( theprop = $true )
    & ( emptyE1 = $true )
    & ( funcGraphProp4 = $true )
    & ( kfstpairEq = $true )
    & ( singletonprop = $true )
    & ( ubforcartprodlem1 = $true )
    & ( breln1unionprop = $true )
    & ( powerset__Cong = $true )
    & ( emptyset__Cong = $true )
    & ( funcextLem = $true )
    & ( eqimpsubset1 = $true )
    & ( emptysetimpfalse = $true )
    & ( setminusI = $true )
    & ( funcinfuncset = $true )
    & ( omega0Ax = $true )
    & ( upairinpowunion = $true )
    & ( setOfPairsIsBReln = $true )
    & ( binintersectEL = $true )
    & ( setukpairinjL2 = $true )
    & ( binintersectLsub = $true )
    & ( omegaSp = $true )
    & ( subPowSU = $true )
    & ( setextsub = $true )
    & ( ex1I = $true )
    & ( setminusER = $true )
    & ( iftrue = $true )
    & ( foundation2 = $true )
    & ( dsetconstr__Cong = $true )
    & ( cartprodfstin = $true )
    & ( iffalse = $true )
    & ( complementTI1 = $true )
    & ( funcGraphProp1 = $true )
    & ( injFuncInInjFuncSet = $true )
    & ( demorgan2a1 = $true )
    & ( powersetAx = $true )
    & ( setunion__Cong = $true )
    & ( eta2 = $true )
    & ( funcGraphProp3 = $true )
    & ( complementSubsetComplementIntersect = $true )
    & ( setadjoinSub2 = $true )
    & ( replAx = $true )
    & ( complementInPowersetComplementIntersect = $true )
    & ( brelnall2 = $true )
    & ( binunionTIRcontra = $true )
    & ( subsetI1 = $true )
    & ( woz2W = $true )
    & ( ex1I2 = $true )
    & ( setadjoinAx = $true )
    & ( funcext = $true )
    & ( iftrueProp1 = $true )
    & ( exuI3 = $true )
    & ( cartprodsndin = $true )
    & ( nonemptyImpWitness = $true )
    & ( kpairp = $true )
    & ( exuE3e = $true ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK124,sK125]),skolemize(X0,sK124),skolemize(X1,sK125)],[f1121]) ).

thf(f1881,plain,
    ( ( ! [X0: $i] :
          ( ( ( transitiveset @ X0 )
           != $true )
          | ! [X1: $i] :
              ( ( ( transitiveset @ X1 )
               != $true )
              | ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
                = $true ) ) )
      | ( binintTransitive != $true ) )
    & ( ( binintTransitive = $true )
      | ? [X0: $i] :
          ( ( ( transitiveset @ X0 )
            = $true )
          & ? [X1: $i] :
              ( ( ( transitiveset @ X1 )
                = $true )
              & ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
               != $true ) ) ) ) ),
    inference(nnf_transformation,[],[f1331]) ).

thf(f1882,plain,
    ( ( ! [X0: $i] :
          ( ( ( transitiveset @ X0 )
           != $true )
          | ! [X1: $i] :
              ( ( ( transitiveset @ X1 )
               != $true )
              | ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
                = $true ) ) )
      | ( binintTransitive != $true ) )
    & ( ( binintTransitive = $true )
      | ? [X2: $i] :
          ( ( $true
            = ( transitiveset @ X2 ) )
          & ? [X3: $i] :
              ( ( ( transitiveset @ X3 )
                = $true )
              & ( $true
               != ( transitiveset @ ( binintersect @ X2 @ X3 ) ) ) ) ) ) ),
    inference(rectify,[],[f1881]) ).

thf(f1883,plain,
    ( ( ! [X0: $i] :
          ( ( ( transitiveset @ X0 )
           != $true )
          | ! [X1: $i] :
              ( ( ( transitiveset @ X1 )
               != $true )
              | ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
                = $true ) ) )
      | ( binintTransitive != $true ) )
    & ( ( binintTransitive = $true )
      | ( ( ( transitiveset @ sK450 )
          = $true )
        & ( $true
          = ( transitiveset @ sK451 ) )
        & ( ( transitiveset @ ( binintersect @ sK450 @ sK451 ) )
         != $true ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK450,sK451]),skolemize(X2,sK450),skolemize(X3,sK451)],[f1882]) ).

thf(f2895,plain,
    binintTransitive = $true,
    inference(cnf_transformation,[],[f1577]) ).

thf(f2919,plain,
    ( $true
   != ( transitiveset @ ( binintersect @ sK124 @ sK125 ) ) ),
    inference(cnf_transformation,[],[f1577]) ).

thf(f2920,plain,
    ( $true
    = ( ordinal @ sK125 ) ),
    inference(cnf_transformation,[],[f1577]) ).

thf(f2921,plain,
    ( $true
    = ( ordinal @ sK124 ) ),
    inference(cnf_transformation,[],[f1577]) ).

thf(f3429,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( transitiveset @ X0 )
       != $true )
      | ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
        = $true )
      | ( ( transitiveset @ X1 )
       != $true )
      | ( binintTransitive != $true ) ),
    inference(cnf_transformation,[],[f1883]) ).

thf(f4067,plain,
    ( ordinal
    = ( ^ [Y0: $i] :
          ( ( wellorderedByIn @ Y0 )
          & ( transitiveset @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f437]) ).

thf(f4925,definition,
    ( spl1092_81
  <=> ( binintTransitive = $true ) ),
    introduced(definition,[new_symbols(definition,[spl1092_81])],[avatar_definition]) ).

thf(f4929,definition,
    ( spl1092_82
  <=> ! [X0: $i,X1: $i] :
        ( ( ( transitiveset @ X0 )
         != $true )
        | ( ( transitiveset @ X1 )
         != $true )
        | ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl1092_82])],[avatar_definition]) ).

thf(f4930,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( transitiveset @ ( binintersect @ X0 @ X1 ) )
          = $true )
        | ( ( transitiveset @ X1 )
         != $true )
        | ( ( transitiveset @ X0 )
         != $true ) )
    | ~ spl1092_82 ),
    inference(avatar_component_clause,[],[f4929]) ).

thf(f4931,plain,
    ( ~ spl1092_81
    | spl1092_82 ),
    inference(avatar_split_clause,[],[f3429,f4929,f4925]) ).

thf(f6378,definition,
    ( spl1092_408
  <=> ( $true
      = ( ordinal @ sK124 ) ) ),
    introduced(definition,[new_symbols(definition,[spl1092_408])],[avatar_definition]) ).

thf(f6380,plain,
    ( ( $true
      = ( ordinal @ sK124 ) )
    | ~ spl1092_408 ),
    inference(avatar_component_clause,[],[f6378]) ).

thf(f6381,plain,
    spl1092_408,
    inference(avatar_split_clause,[],[f2921,f6378]) ).

thf(f9920,definition,
    ( spl1092_1162
  <=> ( ordinal
      = ( ^ [Y0: $i] :
            ( ( wellorderedByIn @ Y0 )
            & ( transitiveset @ Y0 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl1092_1162])],[avatar_definition]) ).

thf(f9922,plain,
    ( ( ordinal
      = ( ^ [Y0: $i] :
            ( ( wellorderedByIn @ Y0 )
            & ( transitiveset @ Y0 ) ) ) )
    | ~ spl1092_1162 ),
    inference(avatar_component_clause,[],[f9920]) ).

thf(f9923,plain,
    spl1092_1162,
    inference(avatar_split_clause,[],[f4067,f9920]) ).

thf(f9930,definition,
    ( spl1092_1164
  <=> ( $true
      = ( transitiveset @ ( binintersect @ sK124 @ sK125 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl1092_1164])],[avatar_definition]) ).

thf(f9932,plain,
    ( ( $true
     != ( transitiveset @ ( binintersect @ sK124 @ sK125 ) ) )
    | spl1092_1164 ),
    inference(avatar_component_clause,[],[f9930]) ).

thf(f9933,plain,
    ~ spl1092_1164,
    inference(avatar_split_clause,[],[f2919,f9930]) ).

thf(f10233,plain,
    spl1092_81,
    inference(avatar_split_clause,[],[f2895,f4925]) ).

thf(f12874,definition,
    ( spl1092_1760
  <=> ( $true
      = ( ordinal @ sK125 ) ) ),
    introduced(definition,[new_symbols(definition,[spl1092_1760])],[avatar_definition]) ).

thf(f12876,plain,
    ( ( $true
      = ( ordinal @ sK125 ) )
    | ~ spl1092_1760 ),
    inference(avatar_component_clause,[],[f12874]) ).

thf(f12877,plain,
    spl1092_1760,
    inference(avatar_split_clause,[],[f2920,f12874]) ).

thf(f13591,definition,
    ( spl1092_1795
  <=> ( ( transitiveset @ sK124 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl1092_1795])],[avatar_definition]) ).

thf(f13608,definition,
    ( spl1092_1797
  <=> ( $true
      = ( transitiveset @ sK125 ) ) ),
    introduced(definition,[new_symbols(definition,[spl1092_1797])],[avatar_definition]) ).

thf(f13883,plain,
    ( ( ( transitiveset @ sK124 )
     != $true )
    | ( $true
     != ( transitiveset @ sK125 ) )
    | ( $true != $true )
    | ~ spl1092_82
    | spl1092_1164 ),
    inference(superposition,[],[f9932,f4930]) ).

thf(f13884,plain,
    ( ( ( transitiveset @ sK124 )
     != $true )
    | ( $true
     != ( transitiveset @ sK125 ) )
    | ~ spl1092_82
    | spl1092_1164 ),
    inference(trivial_inequality_removal,[],[f13883]) ).

thf(f20451,plain,
    ( ! [X1: $i] :
        ( ( ordinal @ X1 )
        = ( ^ [Y0: $i] :
              ( ( wellorderedByIn @ Y0 )
              & ( transitiveset @ Y0 ) )
          @ X1 ) )
    | ~ spl1092_1162 ),
    inference(argument_congruence,[],[f9922]) ).

thf(f20453,plain,
    ( ! [X1: $i] :
        ( ( $true
          = ( ^ [Y0: $i] :
                ( ( wellorderedByIn @ Y0 )
                & ( transitiveset @ Y0 ) )
            @ X1 ) )
        | ( ( ordinal @ X1 )
          = $false ) )
    | ~ spl1092_1162 ),
    inference(iff_proxy_clausification,[],[f20451]) ).

thf(f20454,plain,
    ( ! [X1: $i] :
        ( ( $true
          = ( ( wellorderedByIn @ X1 )
            & ( transitiveset @ X1 ) ) )
        | ( ( ordinal @ X1 )
          = $false ) )
    | ~ spl1092_1162 ),
    inference(beta-eta_normalization,[],[f20453]) ).

thf(f20455,plain,
    ( ! [X1: $i] :
        ( ( ( ordinal @ X1 )
          = $false )
        | ( ( transitiveset @ X1 )
          = $true ) )
    | ~ spl1092_1162 ),
    inference(and_proxy_clausification,[],[f20454]) ).

thf(f20572,plain,
    ( ( ( transitiveset @ sK124 )
      = $true )
    | ( $true = $false )
    | ~ spl1092_408
    | ~ spl1092_1162 ),
    inference(superposition,[],[f6380,f20455]) ).

thf(f20573,plain,
    ( ( $true
      = ( transitiveset @ sK125 ) )
    | ( $true = $false )
    | ~ spl1092_1162
    | ~ spl1092_1760 ),
    inference(superposition,[],[f12876,f20455]) ).

thf(f20581,plain,
    ( ( $true
      = ( transitiveset @ sK125 ) )
    | ~ spl1092_1162
    | ~ spl1092_1760 ),
    inference(trivial_inequality_removal,[],[f20573]) ).

thf(f20589,plain,
    ( ( ( transitiveset @ sK124 )
      = $true )
    | ~ spl1092_408
    | ~ spl1092_1162 ),
    inference(trivial_inequality_removal,[],[f20572]) ).

thf(f20626,plain,
    ( spl1092_1795
    | ~ spl1092_408
    | ~ spl1092_1162 ),
    inference(avatar_split_clause,[],[f20589,f9920,f6378,f13591]) ).

thf(f20627,plain,
    ( ~ spl1092_1795
    | ~ spl1092_1797
    | ~ spl1092_82
    | spl1092_1164 ),
    inference(avatar_split_clause,[],[f13884,f9930,f4929,f13608,f13591]) ).

thf(f20628,plain,
    ( spl1092_1797
    | ~ spl1092_1162
    | ~ spl1092_1760 ),
    inference(avatar_split_clause,[],[f20581,f12874,f9920,f13608]) ).

cnf(s45,plain,
    ( ~ spl1092_81
    | spl1092_82 ),
    inference(sat_conversion,[],[f4931]) ).

cnf(s268,plain,
    spl1092_408,
    inference(sat_conversion,[],[f6381]) ).

cnf(s1029,plain,
    spl1092_1162,
    inference(sat_conversion,[],[f9923]) ).

cnf(s1031,plain,
    ~ spl1092_1164,
    inference(sat_conversion,[],[f9933]) ).

cnf(s1111,plain,
    spl1092_81,
    inference(sat_conversion,[],[f10233]) ).

cnf(s1791,plain,
    spl1092_1760,
    inference(sat_conversion,[],[f12877]) ).

cnf(s1920,plain,
    ( ~ spl1092_408
    | ~ spl1092_1162
    | spl1092_1795 ),
    inference(sat_conversion,[],[f20626]) ).

cnf(s1921,plain,
    ( ~ spl1092_82
    | spl1092_1164
    | ~ spl1092_1795
    | ~ spl1092_1797 ),
    inference(sat_conversion,[],[f20627]) ).

cnf(s1923,plain,
    ( ~ spl1092_1162
    | ~ spl1092_1760
    | spl1092_1797 ),
    inference(sat_conversion,[],[f20628]) ).

cnf(s2000,plain,
    spl1092_1797,
    inference(rat,[],[s1923,s1791,s1029]) ).

cnf(s2272,plain,
    spl1092_1795,
    inference(rat,[],[s1920,s1029,s268]) ).

cnf(s2273,plain,
    ~ spl1092_82,
    inference(rat,[],[s1921,s2000,s1031,s2272]) ).

cnf(s2383,plain,
    $false,
    inference(rat,[],[s45,s2273,s1111]) ).

thf(f20629,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2383]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU816^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.19  % Computer : n001.cluster.edu
% 0.13/0.19  % Model    : x86_64 x86_64
% 0.13/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.19  % Memory   : 8046.5625MB
% 0.13/0.19  % OS       : Linux 6.8.0-71-generic
% 0.13/0.19  % CPULimit : 300
% 0.13/0.19  % WCLimit  : 300
% 0.13/0.19  % DateTime : Tue Sep 29 14:39:50 UTC 2026
% 0.13/0.20  % CPUTime  : 
% 0.13/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.22  Running higher-order theorem proving
% 0.13/0.31  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.47  % (1332434)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.39/0.47  % (1332440)lrs+10_16_si=on:nwc=1.5:random_seed=2490903532:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.39/0.47  % (1332445)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.39/0.47  % (1332445)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.39/0.47  % (1332440)Instruction limit reached! 
% 0.39/0.47  % (1332440)------------------------------
% 0.39/0.47  % (1332440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.47  % (1332440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.47  % (1332440)CaDiCaL version: 2.1.3
% 0.39/0.47  % (1332440)Termination reason: Instruction limit
% 0.39/0.47  % (1332440)Termination phase: shuffling
% 0.39/0.47  % (1332440)Time elapsed: 0.005 s
% 0.39/0.47  % (1332440)Peak memory usage: 10 MB
% 0.39/0.47  % (1332440)Instructions burned: 19 (million)
% 0.39/0.47  % (1332439)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2018475567:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.39/0.47  % (1332441)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2025055008:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.39/0.47  % (1332442)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=4162567616:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.39/0.47  % (1332443)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=691240588:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.39/0.47  % (1332445)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=528445297:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.39/0.47  % (1332444)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2799881549:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.39/0.47  % (1332441)Instruction limit reached! 
% 0.39/0.47  % (1332441)------------------------------
% 0.39/0.47  % (1332441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.47  % (1332441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.47  % (1332441)CaDiCaL version: 2.1.3
% 0.39/0.47  % (1332441)Termination reason: Instruction limit
% 0.39/0.47  % (1332441)Termination phase: shuffling
% 0.39/0.47  % (1332441)Time elapsed: 0.004 s
% 0.39/0.47  % (1332441)Peak memory usage: 10 MB
% 0.39/0.47  % (1332441)Instructions burned: 6 (million)
% 0.39/0.47  % (1332443)Instruction limit reached! 
% 0.39/0.47  % (1332443)------------------------------
% 0.39/0.47  % (1332443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.47  % (1332443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.47  % (1332443)CaDiCaL version: 2.1.3
% 0.39/0.47  % (1332443)Termination reason: Instruction limit
% 0.39/0.47  % (1332443)Termination phase: shuffling
% 0.39/0.47  % (1332443)Time elapsed: 0.012 s
% 0.39/0.47  % (1332443)Peak memory usage: 10 MB
% 0.39/0.47  % (1332443)Instructions burned: 25 (million)
% 0.39/0.47  % (1332453)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3001648044:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.39/0.47  % (1332453)Instruction limit reached! 
% 0.39/0.47  % (1332453)------------------------------
% 0.39/0.47  % (1332453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.47  % (1332453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.47  % (1332453)CaDiCaL version: 2.1.3
% 0.39/0.47  % (1332453)Termination reason: Instruction limit
% 0.39/0.47  % (1332453)Termination phase: shuffling
% 0.39/0.47  % (1332453)Time elapsed: 0.001 s
% 0.39/0.47  % (1332453)Peak memory usage: 10 MB
% 0.39/0.47  % (1332453)Instructions burned: 4 (million)
% 0.39/0.47  % (1332454)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3494690348:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.39/0.51  % (1332454)Instruction limit reached! 
% 0.39/0.51  % (1332454)------------------------------
% 0.39/0.51  % (1332454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.51  % (1332454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.51  % (1332454)CaDiCaL version: 2.1.3
% 0.39/0.51  % (1332454)Termination reason: Instruction limit
% 0.39/0.51  % (1332454)Termination phase: shuffling
% 0.39/0.51  % (1332454)Time elapsed: 0.003 s
% 0.39/0.51  % (1332454)Peak memory usage: 10 MB
% 0.39/0.51  % (1332454)Instructions burned: 5 (million)
% 0.39/0.51  % (1332455)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.39/0.51  % (1332457)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2623734433:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.39/0.51  % (1332455)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1783227155:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.39/0.51  % (1332457)Instruction limit reached! 
% 0.39/0.51  % (1332457)------------------------------
% 0.39/0.51  % (1332457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.51  % (1332457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.51  % (1332457)CaDiCaL version: 2.1.3
% 0.39/0.51  % (1332457)Termination reason: Instruction limit
% 0.39/0.51  % (1332457)Termination phase: shuffling
% 0.39/0.51  % (1332457)Time elapsed: 0.004 s
% 0.39/0.51  % (1332457)Peak memory usage: 10 MB
% 0.39/0.51  % (1332457)Instructions burned: 13 (million)
% 0.39/0.51  % (1332444)Instruction limit reached! 
% 0.39/0.51  % (1332444)------------------------------
% 0.39/0.51  % (1332444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.51  % (1332444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.51  % (1332444)CaDiCaL version: 2.1.3
% 0.39/0.51  % (1332444)Termination reason: Instruction limit
% 0.39/0.51  % (1332444)Termination phase: Preprocessing 1
% 0.39/0.51  % (1332444)Time elapsed: 0.034 s
% 0.39/0.51  % (1332444)Peak memory usage: 11 MB
% 0.39/0.51  % (1332444)Instructions burned: 76 (million)
% 0.39/0.51  % (1332455)Instruction limit reached! 
% 0.39/0.51  % (1332455)------------------------------
% 0.39/0.51  % (1332455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.51  % (1332455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.51  % (1332455)CaDiCaL version: 2.1.3
% 0.39/0.51  % (1332455)Termination reason: Instruction limit
% 0.39/0.51  % (1332455)Termination phase: shuffling
% 0.39/0.51  % (1332455)Time elapsed: 0.004 s
% 0.39/0.51  % (1332455)Peak memory usage: 10 MB
% 0.39/0.51  % (1332455)Instructions burned: 7 (million)
% 0.39/0.51  % (1332439)Instruction limit reached! 
% 0.39/0.51  % (1332439)------------------------------
% 0.39/0.51  % (1332439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.51  % (1332439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.51  % (1332439)CaDiCaL version: 2.1.3
% 0.39/0.51  % (1332439)Termination reason: Instruction limit
% 0.39/0.51  % (1332439)Termination phase: Preprocessing 3
% 0.39/0.51  % (1332439)Time elapsed: 0.041 s
% 0.39/0.51  % (1332439)Peak memory usage: 12 MB
% 0.39/0.51  % (1332439)Instructions burned: 88 (million)
% 0.39/0.51  % (1332462)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=253380622:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.39/0.51  % (1332460)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.39/0.51  % (1332460)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.39/0.51  % (1332460)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2808400966:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.39/0.51  % (1332464)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.24/0.54  % (1332463)lrs+10_1_si=on:cs=on:random_seed=1621731531:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.24/0.54  % (1332464)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1385315326:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.24/0.54  % (1332463)Instruction limit reached! 
% 1.24/0.54  % (1332463)------------------------------
% 1.24/0.54  % (1332463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54  % (1332463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54  % (1332463)CaDiCaL version: 2.1.3
% 1.24/0.54  % (1332463)Termination reason: Instruction limit
% 1.24/0.54  % (1332463)Termination phase: shuffling
% 1.24/0.54  % (1332463)Time elapsed: 0.005 s
% 1.24/0.54  % (1332463)Peak memory usage: 10 MB
% 1.24/0.54  % (1332463)Instructions burned: 9 (million)
% 1.24/0.54  % (1332465)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2837934282:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.24/0.54  % (1332464)Instruction limit reached! 
% 1.24/0.54  % (1332464)------------------------------
% 1.24/0.54  % (1332464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54  % (1332464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54  % (1332464)CaDiCaL version: 2.1.3
% 1.24/0.54  % (1332464)Termination reason: Instruction limit
% 1.24/0.54  % (1332464)Termination phase: shuffling
% 1.24/0.54  % (1332464)Time elapsed: 0.003 s
% 1.24/0.54  % (1332464)Peak memory usage: 10 MB
% 1.24/0.54  % (1332464)Instructions burned: 5 (million)
% 1.24/0.54  % (1332460)Instruction limit reached! 
% 1.24/0.54  % (1332460)------------------------------
% 1.24/0.54  % (1332460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54  % (1332460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54  % (1332460)CaDiCaL version: 2.1.3
% 1.24/0.54  % (1332460)Termination reason: Instruction limit
% 1.24/0.54  % (1332460)Termination phase: shuffling
% 1.24/0.54  % (1332460)Time elapsed: 0.014 s
% 1.24/0.54  % (1332460)Peak memory usage: 11 MB
% 1.24/0.54  % (1332460)Instructions burned: 30 (million)
% 1.24/0.54  % (1332462)Instruction limit reached! 
% 1.24/0.54  % (1332462)------------------------------
% 1.24/0.54  % (1332462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54  % (1332462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54  % (1332462)CaDiCaL version: 2.1.3
% 1.24/0.54  % (1332462)Termination reason: Instruction limit
% 1.24/0.54  % (1332462)Termination phase: Property scanning
% 1.24/0.54  % (1332462)Time elapsed: 0.020 s
% 1.24/0.54  % (1332462)Peak memory usage: 11 MB
% 1.24/0.54  % (1332462)Instructions burned: 87 (million)
% 1.24/0.54  % (1332445)Instruction limit reached! 
% 1.24/0.54  % (1332445)------------------------------
% 1.24/0.54  % (1332445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54  % (1332445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54  % (1332445)CaDiCaL version: 2.1.3
% 1.24/0.54  % (1332445)Termination reason: Instruction limit
% 1.24/0.54  % (1332445)Termination phase: Twee Goal Transformation
% 1.24/0.54  % (1332445)Time elapsed: 0.073 s
% 1.24/0.54  % (1332445)Peak memory usage: 13 MB
% 1.24/0.54  % (1332445)Instructions burned: 166 (million)
% 1.24/0.54  % (1332474)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2702773566:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.24/0.54  % (1332465)Instruction limit reached! 
% 1.24/0.54  % (1332465)------------------------------
% 1.24/0.54  % (1332465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.54  % (1332465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.54  % (1332465)CaDiCaL version: 2.1.3
% 1.24/0.54  % (1332465)Termination reason: Instruction limit
% 1.24/0.54  % (1332465)Termination phase: Property scanning
% 1.24/0.54  % (1332465)Time elapsed: 0.018 s
% 1.24/0.54  % (1332465)Peak memory usage: 11 MB
% 1.24/0.54  % (1332465)Instructions burned: 40 (million)
% 1.24/0.54  % (1332471)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2660776165:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.24/0.54  % (1332472)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1551534366:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.24/0.59  % (1332473)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4212462189:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.24/0.59  % (1332473)Instruction limit reached! 
% 1.24/0.59  % (1332473)------------------------------
% 1.24/0.59  % (1332473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.59  % (1332473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.59  % (1332473)CaDiCaL version: 2.1.3
% 1.24/0.59  % (1332473)Termination reason: Instruction limit
% 1.24/0.59  % (1332473)Termination phase: shuffling
% 1.24/0.59  % (1332473)Time elapsed: 0.007 s
% 1.24/0.59  % (1332473)Peak memory usage: 10 MB
% 1.24/0.59  % (1332473)Instructions burned: 14 (million)
% 1.24/0.59  % (1332472)Instruction limit reached! 
% 1.24/0.59  % (1332472)------------------------------
% 1.24/0.59  % (1332472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.59  % (1332472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.59  % (1332472)CaDiCaL version: 2.1.3
% 1.24/0.59  % (1332472)Termination reason: Instruction limit
% 1.24/0.59  % (1332472)Termination phase: shuffling
% 1.24/0.59  % (1332472)Time elapsed: 0.012 s
% 1.24/0.59  % (1332472)Peak memory usage: 10 MB
% 1.24/0.59  % (1332472)Instructions burned: 25 (million)
% 1.24/0.59  % (1332475)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4160117517:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.24/0.59  % (1332478)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4259770841:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.24/0.59  % (1332475)Instruction limit reached! 
% 1.24/0.59  % (1332475)------------------------------
% 1.24/0.59  % (1332475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.59  % (1332475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.59  % (1332475)CaDiCaL version: 2.1.3
% 1.24/0.59  % (1332475)Termination reason: Instruction limit
% 1.24/0.59  % (1332475)Termination phase: shuffling
% 1.24/0.59  % (1332475)Time elapsed: 0.007 s
% 1.24/0.59  % (1332475)Peak memory usage: 11 MB
% 1.24/0.59  % (1332475)Instructions burned: 14 (million)
% 1.24/0.59  % (1332478)Instruction limit reached! 
% 1.24/0.59  % (1332478)------------------------------
% 1.24/0.59  % (1332478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.59  % (1332478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.59  % (1332478)CaDiCaL version: 2.1.3
% 1.24/0.59  % (1332478)Termination reason: Instruction limit
% 1.24/0.59  % (1332478)Termination phase: shuffling
% 1.24/0.59  % (1332478)Time elapsed: 0.004 s
% 1.24/0.59  % (1332478)Peak memory usage: 10 MB
% 1.24/0.59  % (1332478)Instructions burned: 7 (million)
% 1.24/0.59  % (1332481)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1684223781:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.24/0.59  % (1332483)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1296953616:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.24/0.59  % (1332486)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.24/0.59  % (1332486)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.24/0.59  % (1332485)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1878545710:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.24/0.59  % (1332481)Instruction limit reached! 
% 1.24/0.59  % (1332481)------------------------------
% 1.24/0.59  % (1332481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.59  % (1332481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.59  % (1332481)CaDiCaL version: 2.1.3
% 1.24/0.59  % (1332481)Termination reason: Instruction limit
% 1.24/0.59  % (1332481)Termination phase: shuffling
% 1.24/0.59  % (1332481)Time elapsed: 0.013 s
% 1.24/0.59  % (1332481)Peak memory usage: 11 MB
% 2.06/0.65  % (1332481)Instructions burned: 27 (million)
% 2.06/0.65  % (1332486)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2284179361:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.06/0.65  % (1332483)Instruction limit reached! 
% 2.06/0.65  % (1332483)------------------------------
% 2.06/0.65  % (1332483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65  % (1332483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65  % (1332483)CaDiCaL version: 2.1.3
% 2.06/0.65  % (1332483)Termination reason: Instruction limit
% 2.06/0.65  % (1332483)Termination phase: shuffling
% 2.06/0.65  % (1332483)Time elapsed: 0.012 s
% 2.06/0.65  % (1332483)Peak memory usage: 11 MB
% 2.06/0.65  % (1332483)Instructions burned: 25 (million)
% 2.06/0.65  % (1332486)Instruction limit reached! 
% 2.06/0.65  % (1332486)------------------------------
% 2.06/0.65  % (1332486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65  % (1332486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65  % (1332486)CaDiCaL version: 2.1.3
% 2.06/0.65  % (1332486)Termination reason: Instruction limit
% 2.06/0.65  % (1332486)Termination phase: shuffling
% 2.06/0.65  % (1332486)Time elapsed: 0.007 s
% 2.06/0.65  % (1332486)Peak memory usage: 10 MB
% 2.06/0.65  % (1332486)Instructions burned: 15 (million)
% 2.06/0.65  % (1332491)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.06/0.65  % (1332491)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1710096639:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.06/0.65  % (1332492)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=4049310316:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.06/0.65  % (1332474)Instruction limit reached! 
% 2.06/0.65  % (1332474)------------------------------
% 2.06/0.65  % (1332474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65  % (1332474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65  % (1332474)CaDiCaL version: 2.1.3
% 2.06/0.65  % (1332474)Termination reason: Instruction limit
% 2.06/0.65  % (1332474)Termination phase: Saturation
% 2.06/0.65  % (1332474)Time elapsed: 0.074 s
% 2.06/0.65  % (1332474)Peak memory usage: 15 MB
% 2.06/0.65  % (1332474)Instructions burned: 329 (million)
% 2.06/0.65  % (1332491)Instruction limit reached! 
% 2.06/0.65  % (1332491)------------------------------
% 2.06/0.65  % (1332491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65  % (1332491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65  % (1332491)CaDiCaL version: 2.1.3
% 2.06/0.65  % (1332491)Termination reason: Instruction limit
% 2.06/0.65  % (1332491)Termination phase: shuffling
% 2.06/0.65  % (1332491)Time elapsed: 0.005 s
% 2.06/0.65  % (1332491)Peak memory usage: 10 MB
% 2.06/0.65  % (1332491)Instructions burned: 9 (million)
% 2.06/0.65  % (1332493)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1469154915:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.06/0.65  % (1332485)Instruction limit reached! 
% 2.06/0.65  % (1332485)------------------------------
% 2.06/0.65  % (1332485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65  % (1332485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65  % (1332485)CaDiCaL version: 2.1.3
% 2.06/0.65  % (1332485)Termination reason: Instruction limit
% 2.06/0.65  % (1332485)Termination phase: Preprocessing 1
% 2.06/0.65  % (1332485)Time elapsed: 0.027 s
% 2.06/0.65  % (1332485)Peak memory usage: 11 MB
% 2.06/0.65  % (1332485)Instructions burned: 60 (million)
% 2.06/0.65  % (1332493)Instruction limit reached! 
% 2.06/0.65  % (1332493)------------------------------
% 2.06/0.65  % (1332493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.06/0.65  % (1332493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.65  % (1332493)CaDiCaL version: 2.1.3
% 2.06/0.65  % (1332493)Termination reason: Instruction limit
% 2.06/0.65  % (1332493)Termination phase: shuffling
% 2.06/0.65  % (1332493)Time elapsed: 0.004 s
% 2.06/0.65  % (1332493)Peak memory usage: 10 MB
% 2.42/0.71  % (1332493)Instructions burned: 7 (million)
% 2.42/0.71  % (1332497)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2959427175:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.42/0.71  % (1332492)Instruction limit reached! 
% 2.42/0.71  % (1332492)------------------------------
% 2.42/0.71  % (1332492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71  % (1332492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71  % (1332492)CaDiCaL version: 2.1.3
% 2.42/0.71  % (1332492)Termination reason: Instruction limit
% 2.42/0.71  % (1332492)Termination phase: shuffling
% 2.42/0.71  % (1332492)Time elapsed: 0.015 s
% 2.42/0.71  % (1332492)Peak memory usage: 11 MB
% 2.42/0.71  % (1332492)Instructions burned: 33 (million)
% 2.42/0.71  % (1332497)Instruction limit reached! 
% 2.42/0.71  % (1332497)------------------------------
% 2.42/0.71  % (1332497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71  % (1332497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71  % (1332497)CaDiCaL version: 2.1.3
% 2.42/0.71  % (1332497)Termination reason: Instruction limit
% 2.42/0.71  % (1332497)Termination phase: shuffling
% 2.42/0.71  % (1332497)Time elapsed: 0.005 s
% 2.42/0.71  % (1332497)Peak memory usage: 10 MB
% 2.42/0.71  % (1332497)Instructions burned: 23 (million)
% 2.42/0.71  % (1332496)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3563608434:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.42/0.71  % (1332499)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2670197582:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.42/0.71  % (1332500)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2500930517:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.42/0.71  % (1332503)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2195843096:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.42/0.71  % (1332496)Instruction limit reached! 
% 2.42/0.71  % (1332496)------------------------------
% 2.42/0.71  % (1332496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71  % (1332496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71  % (1332496)CaDiCaL version: 2.1.3
% 2.42/0.71  % (1332496)Termination reason: Instruction limit
% 2.42/0.71  % (1332496)Termination phase: shuffling
% 2.42/0.71  % (1332496)Time elapsed: 0.011 s
% 2.42/0.71  % (1332496)Peak memory usage: 11 MB
% 2.42/0.71  % (1332496)Instructions burned: 23 (million)
% 2.42/0.71  % (1332502)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3042658381:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.42/0.71  % (1332471)Instruction limit reached! 
% 2.42/0.71  % (1332471)------------------------------
% 2.42/0.71  % (1332471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71  % (1332471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71  % (1332471)CaDiCaL version: 2.1.3
% 2.42/0.71  % (1332471)Termination reason: Instruction limit
% 2.42/0.71  % (1332471)Termination phase: Saturation
% 2.42/0.71  % (1332471)Time elapsed: 0.105 s
% 2.42/0.71  % (1332471)Peak memory usage: 14 MB
% 2.42/0.71  % (1332471)Instructions burned: 249 (million)
% 2.42/0.71  % (1332503)Instruction limit reached! 
% 2.42/0.71  % (1332503)------------------------------
% 2.42/0.71  % (1332503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.71  % (1332503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.71  % (1332503)CaDiCaL version: 2.1.3
% 2.42/0.71  % (1332503)Termination reason: Instruction limit
% 2.42/0.71  % (1332503)Termination phase: Property scanning
% 2.42/0.71  % (1332503)Time elapsed: 0.014 s
% 2.42/0.71  % (1332503)Peak memory usage: 11 MB
% 2.42/0.71  % (1332503)Instructions burned: 58 (million)
% 2.42/0.71  % (1332512)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.42/0.71  % (1332512)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2278122240:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.42/0.71  % (1332520)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=154974784:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.42/0.79  % (1332512)Instruction limit reached! 
% 2.42/0.79  % (1332512)------------------------------
% 2.42/0.79  % (1332512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.79  % (1332512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.79  % (1332512)CaDiCaL version: 2.1.3
% 2.42/0.79  % (1332512)Termination reason: Instruction limit
% 2.42/0.79  % (1332512)Termination phase: shuffling
% 2.42/0.79  % (1332512)Time elapsed: 0.004 s
% 2.42/0.79  % (1332512)Peak memory usage: 10 MB
% 2.42/0.79  % (1332512)Instructions burned: 8 (million)
% 2.42/0.79  % (1332517)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1666776290:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.42/0.79  % (1332528)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.42/0.79  % (1332528)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1617129830:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.42/0.79  % (1332528)Instruction limit reached! 
% 2.42/0.79  % (1332528)------------------------------
% 2.42/0.79  % (1332528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.79  % (1332528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.79  % (1332528)CaDiCaL version: 2.1.3
% 2.42/0.79  % (1332528)Termination reason: Instruction limit
% 2.42/0.79  % (1332528)Termination phase: shuffling
% 2.42/0.79  % (1332528)Time elapsed: 0.004 s
% 2.42/0.79  % (1332528)Peak memory usage: 10 MB
% 2.42/0.79  % (1332528)Instructions burned: 8 (million)
% 2.42/0.79  % (1332500)Instruction limit reached! 
% 2.42/0.79  % (1332500)------------------------------
% 2.42/0.79  % (1332500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.79  % (1332500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.79  % (1332500)CaDiCaL version: 2.1.3
% 2.42/0.79  % (1332500)Termination reason: Instruction limit
% 2.42/0.79  % (1332500)Termination phase: Function definition elimination
% 2.42/0.79  % (1332500)Time elapsed: 0.060 s
% 2.42/0.79  % (1332500)Peak memory usage: 12 MB
% 2.42/0.79  % (1332500)Instructions burned: 144 (million)
% 2.42/0.79  % (1332520)Instruction limit reached! 
% 2.42/0.79  % (1332520)------------------------------
% 2.42/0.79  % (1332520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.79  % (1332520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.79  % (1332520)CaDiCaL version: 2.1.3
% 2.42/0.79  % (1332520)Termination reason: Instruction limit
% 2.42/0.79  % (1332520)Termination phase: Property scanning
% 2.42/0.79  % (1332520)Time elapsed: 0.038 s
% 2.42/0.79  % (1332520)Peak memory usage: 12 MB
% 2.42/0.79  % (1332520)Instructions burned: 174 (million)
% 2.42/0.79  % (1332535)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1514469228:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.42/0.79  % (1332540)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1334656104:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.42/0.79  % (1332539)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3471022175:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.42/0.79  % (1332535)Instruction limit reached! 
% 2.42/0.79  % (1332535)------------------------------
% 2.42/0.79  % (1332535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.42/0.79  % (1332535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.79  % (1332535)CaDiCaL version: 2.1.3
% 2.42/0.79  % (1332535)Termination reason: Instruction limit
% 2.42/0.79  % (1332535)Termination phase: shuffling
% 2.42/0.79  % (1332535)Time elapsed: 0.011 s
% 2.42/0.79  % (1332535)Peak memory usage: 11 MB
% 2.42/0.79  % (1332535)Instructions burned: 23 (million)
% 2.42/0.79  % (1332502)Instruction limit reached! 
% 2.42/0.79  % (1332502)------------------------------
% 2.42/0.79  % (1332502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.87  % (1332502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.87  % (1332502)CaDiCaL version: 2.1.3
% 3.00/0.87  % (1332502)Termination reason: Instruction limit
% 3.00/0.87  % (1332502)Termination phase: Property scanning
% 3.00/0.87  % (1332502)Time elapsed: 0.082 s
% 3.00/0.87  % (1332502)Peak memory usage: 13 MB
% 3.00/0.87  % (1332502)Instructions burned: 193 (million)
% 3.00/0.87  % (1332539)Instruction limit reached! 
% 3.00/0.87  % (1332539)------------------------------
% 3.00/0.87  % (1332539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.87  % (1332539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.87  % (1332539)CaDiCaL version: 2.1.3
% 3.00/0.87  % (1332539)Termination reason: Instruction limit
% 3.00/0.87  % (1332539)Termination phase: shuffling
% 3.00/0.87  % (1332539)Time elapsed: 0.009 s
% 3.00/0.87  % (1332539)Peak memory usage: 10 MB
% 3.00/0.87  % (1332539)Instructions burned: 19 (million)
% 3.00/0.87  % (1332553)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=3522181125:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.00/0.87  % (1332556)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3345125311:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.00/0.87  % (1332555)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=2221818838:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.00/0.87  % (1332517)Instruction limit reached! 
% 3.00/0.87  % (1332517)------------------------------
% 3.00/0.87  % (1332517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.87  % (1332517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.87  % (1332517)CaDiCaL version: 2.1.3
% 3.00/0.87  % (1332517)Termination reason: Instruction limit
% 3.00/0.87  % (1332517)Termination phase: Property scanning
% 3.00/0.87  % (1332517)Time elapsed: 0.075 s
% 3.00/0.87  % (1332517)Peak memory usage: 12 MB
% 3.00/0.87  % (1332517)Instructions burned: 181 (million)
% 3.00/0.87  % (1332555)Instruction limit reached! 
% 3.00/0.87  % (1332555)------------------------------
% 3.00/0.87  % (1332555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.87  % (1332555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.87  % (1332555)CaDiCaL version: 2.1.3
% 3.00/0.87  % (1332555)Termination reason: Instruction limit
% 3.00/0.87  % (1332555)Termination phase: shuffling
% 3.00/0.87  % (1332555)Time elapsed: 0.020 s
% 3.00/0.87  % (1332555)Peak memory usage: 11 MB
% 3.00/0.87  % (1332555)Instructions burned: 45 (million)
% 3.00/0.87  % (1332569)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3365131991:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.00/0.87  % (1332569)Instruction limit reached! 
% 3.00/0.87  % (1332569)------------------------------
% 3.00/0.87  % (1332569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.87  % (1332569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.87  % (1332569)CaDiCaL version: 2.1.3
% 3.00/0.87  % (1332569)Termination reason: Instruction limit
% 3.00/0.87  % (1332569)Termination phase: shuffling
% 3.00/0.87  % (1332569)Time elapsed: 0.011 s
% 3.00/0.87  % (1332569)Peak memory usage: 11 MB
% 3.00/0.87  % (1332569)Instructions burned: 22 (million)
% 3.00/0.87  % (1332580)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.00/0.87  % (1332442)Instruction limit reached! 
% 3.00/0.87  % (1332442)------------------------------
% 3.00/0.87  % (1332442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.87  % (1332442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.87  % (1332442)CaDiCaL version: 2.1.3
% 3.00/0.87  % (1332442)Termination reason: Instruction limit
% 3.00/0.87  % (1332442)Termination phase: Saturation
% 3.00/0.87  % (1332442)Time elapsed: 0.323 s
% 3.00/0.87  % (1332442)Peak memory usage: 22 MB
% 3.00/0.87  % (1332442)Instructions burned: 636 (million)
% 3.00/0.87  % (1332580)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=72387773:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 4.94/1.09  % (1332540)Instruction limit reached! 
% 4.94/1.09  % (1332540)------------------------------
% 4.94/1.09  % (1332540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.94/1.09  % (1332540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.09  % (1332540)CaDiCaL version: 2.1.3
% 4.94/1.09  % (1332540)Termination reason: Instruction limit
% 4.94/1.09  % (1332540)Termination phase: Saturation
% 4.94/1.09  % (1332540)Time elapsed: 0.073 s
% 4.94/1.09  % (1332540)Peak memory usage: 16 MB
% 4.94/1.09  % (1332540)Instructions burned: 319 (million)
% 4.94/1.09  % (1332591)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2156346651:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 4.94/1.09  % (1332595)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2358329499:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 4.94/1.09  % (1332591)Instruction limit reached! 
% 4.94/1.09  % (1332591)------------------------------
% 4.94/1.09  % (1332591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.94/1.09  % (1332591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.09  % (1332591)CaDiCaL version: 2.1.3
% 4.94/1.09  % (1332591)Termination reason: Instruction limit
% 4.94/1.09  % (1332591)Termination phase: shuffling
% 4.94/1.09  % (1332591)Time elapsed: 0.007 s
% 4.94/1.09  % (1332591)Peak memory usage: 10 MB
% 4.94/1.09  % (1332591)Instructions burned: 14 (million)
% 4.94/1.09  % (1332593)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3804901353:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 4.94/1.09  % (1332595)Instruction limit reached! 
% 4.94/1.09  % (1332595)------------------------------
% 4.94/1.09  % (1332595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.94/1.09  % (1332595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.09  % (1332595)CaDiCaL version: 2.1.3
% 4.94/1.09  % (1332595)Termination reason: Instruction limit
% 4.94/1.09  % (1332595)Termination phase: Property scanning
% 4.94/1.09  % (1332595)Time elapsed: 0.018 s
% 4.94/1.09  % (1332595)Peak memory usage: 11 MB
% 4.94/1.09  % (1332595)Instructions burned: 53 (million)
% 4.94/1.09  % (1332605)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2024183814:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 4.94/1.09  % (1332608)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2341715611:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 4.94/1.09  % (1332593)Instruction limit reached! 
% 4.94/1.09  % (1332593)------------------------------
% 4.94/1.09  % (1332593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.94/1.09  % (1332593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.09  % (1332593)CaDiCaL version: 2.1.3
% 4.94/1.09  % (1332593)Termination reason: Instruction limit
% 4.94/1.09  % (1332593)Termination phase: Property scanning
% 4.94/1.09  % (1332593)Time elapsed: 0.029 s
% 4.94/1.09  % (1332593)Peak memory usage: 11 MB
% 4.94/1.09  % (1332593)Instructions burned: 68 (million)
% 4.94/1.09  % (1332605)Instruction limit reached! 
% 4.94/1.09  % (1332605)------------------------------
% 4.94/1.09  % (1332605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.94/1.09  % (1332605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.09  % (1332605)CaDiCaL version: 2.1.3
% 4.94/1.09  % (1332605)Termination reason: Instruction limit
% 4.94/1.09  % (1332605)Termination phase: shuffling
% 4.94/1.09  % (1332605)Time elapsed: 0.016 s
% 4.94/1.09  % (1332605)Peak memory usage: 11 MB
% 4.94/1.09  % (1332605)Instructions burned: 33 (million)
% 4.94/1.09  % (1332616)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=747060146:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.94/1.09  % (1332618)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2740806946:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 4.94/1.09  % (1332608)Instruction limit reached! 
% 5.62/1.16  % (1332608)------------------------------
% 5.62/1.16  % (1332608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.16  % (1332608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.16  % (1332608)CaDiCaL version: 2.1.3
% 5.62/1.16  % (1332608)Termination reason: Instruction limit
% 5.62/1.16  % (1332608)Termination phase: Function definition elimination
% 5.62/1.16  % (1332608)Time elapsed: 0.032 s
% 5.62/1.16  % (1332608)Peak memory usage: 12 MB
% 5.62/1.16  % (1332608)Instructions burned: 139 (million)
% 5.62/1.16  % (1332580)Instruction limit reached! 
% 5.62/1.16  % (1332580)------------------------------
% 5.62/1.16  % (1332580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.16  % (1332580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.16  % (1332580)CaDiCaL version: 2.1.3
% 5.62/1.16  % (1332580)Termination reason: Instruction limit
% 5.62/1.16  % (1332580)Termination phase: Saturation
% 5.62/1.16  % (1332580)Time elapsed: 0.083 s
% 5.62/1.16  % (1332580)Peak memory usage: 14 MB
% 5.62/1.16  % (1332580)Instructions burned: 200 (million)
% 5.62/1.16  % (1332616)Instruction limit reached! 
% 5.62/1.16  % (1332616)------------------------------
% 5.62/1.16  % (1332616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.16  % (1332616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.16  % (1332616)CaDiCaL version: 2.1.3
% 5.62/1.16  % (1332616)Termination reason: Instruction limit
% 5.62/1.16  % (1332616)Termination phase: shuffling
% 5.62/1.16  % (1332616)Time elapsed: 0.016 s
% 5.62/1.16  % (1332616)Peak memory usage: 11 MB
% 5.62/1.16  % (1332616)Instructions burned: 35 (million)
% 5.62/1.16  % (1332629)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.62/1.16  % (1332629)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3440115052:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 5.62/1.16  % (1332631)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4116379917:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 5.62/1.16  % (1332618)Instruction limit reached! 
% 5.62/1.16  % (1332618)------------------------------
% 5.62/1.16  % (1332618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.16  % (1332632)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=130674593:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 5.62/1.16  % (1332618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.16  % (1332618)CaDiCaL version: 2.1.3
% 5.62/1.16  % (1332618)Termination reason: Instruction limit
% 5.62/1.16  % (1332618)Termination phase: Property scanning
% 5.62/1.16  % (1332618)Time elapsed: 0.031 s
% 5.62/1.16  % (1332618)Peak memory usage: 11 MB
% 5.62/1.16  % (1332618)Instructions burned: 67 (million)
% 5.62/1.16  % (1332638)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3939101668:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 5.62/1.16  % (1332629)Instruction limit reached! 
% 5.62/1.16  % (1332629)------------------------------
% 5.62/1.16  % (1332629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.16  % (1332629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.16  % (1332629)CaDiCaL version: 2.1.3
% 5.62/1.16  % (1332629)Termination reason: Instruction limit
% 5.62/1.16  % (1332629)Termination phase: Property scanning
% 5.62/1.16  % (1332629)Time elapsed: 0.045 s
% 5.62/1.16  % (1332629)Peak memory usage: 12 MB
% 5.62/1.16  % (1332629)Instructions burned: 181 (million)
% 5.62/1.16  % (1332654)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2953240808:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.62/1.16  % (1332632)Instruction limit reached! 
% 5.62/1.16  % (1332632)------------------------------
% 5.62/1.16  % (1332632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.16  % (1332632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.16  % (1332632)CaDiCaL version: 2.1.3
% 5.62/1.16  % (1332632)Termination reason: Instruction limit
% 5.62/1.16  % (1332632)Termination phase: Property scanning
% 5.62/1.16  % (1332632)Time elapsed: 0.045 s
% 5.62/1.16  % (1332632)Peak memory usage: 12 MB
% 5.62/1.16  % (1332632)Instructions burned: 96 (million)
% 5.62/1.16  % (1332556)Refutation not found, incomplete strategy
% 5.92/1.25  % (1332556)------------------------------
% 5.92/1.25  % (1332556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.92/1.25  % (1332556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.25  % (1332556)CaDiCaL version: 2.1.3
% 5.92/1.25  % (1332556)Termination reason: Refutation not found, incomplete strategy
% 5.92/1.25  % (1332556)Time elapsed: 0.199 s
% 5.92/1.25  % (1332556)Peak memory usage: 19 MB
% 5.92/1.25  % (1332556)Instructions burned: 386 (million)
% 5.92/1.25  % (1332556)------------------------------
% 5.92/1.25  % (1332556)------------------------------
% 5.92/1.25  % (1332656)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=177990156:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.92/1.25  % (1332661)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2127952994:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.92/1.25  % (1332631)Instruction limit reached! 
% 5.92/1.25  % (1332631)------------------------------
% 5.92/1.25  % (1332631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.92/1.25  % (1332631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.25  % (1332631)CaDiCaL version: 2.1.3
% 5.92/1.25  % (1332631)Termination reason: Instruction limit
% 5.92/1.25  % (1332631)Termination phase: Saturation
% 5.92/1.25  % (1332631)Time elapsed: 0.111 s
% 5.92/1.25  % (1332631)Peak memory usage: 14 MB
% 5.92/1.25  % (1332631)Instructions burned: 246 (million)
% 5.92/1.25  % (1332672)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2320770695:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 5.92/1.25  % (1332661)Instruction limit reached! 
% 5.92/1.25  % (1332661)------------------------------
% 5.92/1.25  % (1332661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.92/1.25  % (1332661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.25  % (1332661)CaDiCaL version: 2.1.3
% 5.92/1.25  % (1332661)Termination reason: Instruction limit
% 5.92/1.25  % (1332661)Termination phase: Property scanning
% 5.92/1.25  % (1332661)Time elapsed: 0.055 s
% 5.92/1.25  % (1332661)Peak memory usage: 12 MB
% 5.92/1.25  % (1332661)Instructions burned: 132 (million)
% 5.92/1.25  % (1332672)Instruction limit reached! 
% 5.92/1.25  % (1332672)------------------------------
% 5.92/1.25  % (1332672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.92/1.25  % (1332672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.25  % (1332672)CaDiCaL version: 2.1.3
% 5.92/1.25  % (1332672)Termination reason: Instruction limit
% 5.92/1.25  % (1332672)Termination phase: shuffling
% 5.92/1.25  % (1332672)Time elapsed: 0.020 s
% 5.92/1.25  % (1332672)Peak memory usage: 11 MB
% 5.92/1.25  % (1332672)Instructions burned: 45 (million)
% 5.92/1.25  % (1332683)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1833078632:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 5.92/1.25  % (1332685)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3522255555:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.92/1.25  % (1332638)Instruction limit reached! 
% 5.92/1.25  % (1332638)------------------------------
% 5.92/1.25  % (1332638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.92/1.25  % (1332638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.25  % (1332638)CaDiCaL version: 2.1.3
% 5.92/1.25  % (1332638)Termination reason: Instruction limit
% 5.92/1.25  % (1332638)Termination phase: Saturation
% 5.92/1.25  % (1332638)Time elapsed: 0.210 s
% 5.92/1.25  % (1332638)Peak memory usage: 17 MB
% 5.92/1.25  % (1332638)Instructions burned: 427 (million)
% 5.92/1.25  % (1332499)Instruction limit reached! 
% 5.92/1.25  % (1332499)------------------------------
% 5.92/1.25  % (1332499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.92/1.25  % (1332499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.25  % (1332499)CaDiCaL version: 2.1.3
% 5.92/1.25  % (1332499)Termination reason: Instruction limit
% 5.92/1.25  % (1332499)Termination phase: Saturation
% 5.92/1.25  % (1332499)Time elapsed: 0.525 s
% 5.92/1.25  % (1332499)Peak memory usage: 18 MB
% 5.92/1.25  % (1332499)Instructions burned: 1242 (million)
% 5.92/1.25  % (1332706)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2518676065:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/95Mi)
% 6.34/1.34  % (1332654)Instruction limit reached! 
% 6.34/1.34  % (1332654)------------------------------
% 6.34/1.34  % (1332654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/1.34  % (1332654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/1.34  % (1332654)CaDiCaL version: 2.1.3
% 6.34/1.34  % (1332654)Termination reason: Instruction limit
% 6.34/1.34  % (1332654)Termination phase: Saturation
% 6.34/1.34  % (1332654)Time elapsed: 0.240 s
% 6.34/1.34  % (1332654)Peak memory usage: 18 MB
% 6.34/1.34  % (1332654)Instructions burned: 875 (million)
% 6.34/1.34  % (1332715)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3561572779:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2992 on theBenchmark for (2992ds/65Mi)
% 6.34/1.34  % (1332717)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3849134566:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2992 on theBenchmark for (2992ds/105Mi)
% 6.34/1.34  % (1332553)Instruction limit reached! 
% 6.34/1.34  % (1332553)------------------------------
% 6.34/1.34  % (1332553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/1.34  % (1332553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/1.34  % (1332553)CaDiCaL version: 2.1.3
% 6.34/1.34  % (1332553)Termination reason: Instruction limit
% 6.34/1.34  % (1332553)Termination phase: Saturation
% 6.34/1.34  % (1332553)Time elapsed: 0.444 s
% 6.34/1.34  % (1332553)Peak memory usage: 24 MB
% 6.34/1.34  % (1332553)Instructions burned: 853 (million)
% 6.34/1.34  % (1332715)Instruction limit reached! 
% 6.34/1.34  % (1332715)------------------------------
% 6.34/1.34  % (1332715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/1.34  % (1332715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/1.34  % (1332715)CaDiCaL version: 2.1.3
% 6.34/1.34  % (1332715)Termination reason: Instruction limit
% 6.34/1.34  % (1332715)Termination phase: Property scanning
% 6.34/1.34  % (1332715)Time elapsed: 0.029 s
% 6.34/1.34  % (1332715)Peak memory usage: 11 MB
% 6.34/1.34  % (1332715)Instructions burned: 67 (million)
% 6.34/1.34  % (1332720)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3721706455:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2992 on theBenchmark for (2992ds/5755Mi)
% 6.34/1.34  % (1332717)Instruction limit reached! 
% 6.34/1.34  % (1332717)------------------------------
% 6.34/1.34  % (1332717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/1.34  % (1332717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/1.34  % (1332717)CaDiCaL version: 2.1.3
% 6.34/1.34  % (1332717)Termination reason: Instruction limit
% 6.34/1.34  % (1332717)Termination phase: SInE selection
% 6.34/1.34  % (1332717)Time elapsed: 0.024 s
% 6.34/1.34  % (1332717)Peak memory usage: 12 MB
% 6.34/1.34  % (1332717)Instructions burned: 108 (million)
% 6.34/1.34  % (1332723)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1095160025:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/495Mi)
% 6.34/1.34  % (1332706)Instruction limit reached! 
% 6.34/1.34  % (1332706)------------------------------
% 6.34/1.34  % (1332706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.34/1.34  % (1332706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.34/1.34  % (1332706)CaDiCaL version: 2.1.3
% 6.34/1.34  % (1332706)Termination reason: Instruction limit
% 6.34/1.34  % (1332706)Termination phase: Property scanning
% 6.34/1.34  % (1332706)Time elapsed: 0.063 s
% 6.34/1.34  % (1332706)Peak memory usage: 12 MB
% 6.34/1.34  % (1332706)Instructions burned: 96 (million)
% 6.34/1.34  % (1332721)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1810446500:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/375Mi)
% 6.34/1.34  % (1332656)Instruction limit reached! 
% 6.34/1.34  % (1332656)------------------------------
% 6.34/1.34  % (1332656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.46  % (1332656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46  % (1332656)CaDiCaL version: 2.1.3
% 6.91/1.46  % (1332656)Termination reason: Instruction limit
% 6.91/1.46  % (1332656)Termination phase: Saturation
% 6.91/1.46  % (1332656)Time elapsed: 0.271 s
% 6.91/1.46  % (1332656)Peak memory usage: 17 MB
% 6.91/1.46  % (1332656)Instructions burned: 517 (million)
% 6.91/1.46  % (1332725)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3150450679:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 6.91/1.46  % (1332727)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3879828483:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/91Mi)
% 6.91/1.46  % (1332725)Instruction limit reached! 
% 6.91/1.46  % (1332725)------------------------------
% 6.91/1.46  % (1332725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.46  % (1332725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46  % (1332725)CaDiCaL version: 2.1.3
% 6.91/1.46  % (1332725)Termination reason: Instruction limit
% 6.91/1.46  % (1332725)Termination phase: shuffling
% 6.91/1.46  % (1332725)Time elapsed: 0.016 s
% 6.91/1.46  % (1332725)Peak memory usage: 11 MB
% 6.91/1.46  % (1332725)Instructions burned: 35 (million)
% 6.91/1.46  % (1332685)Instruction limit reached! 
% 6.91/1.46  % (1332685)------------------------------
% 6.91/1.46  % (1332685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.46  % (1332685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46  % (1332685)CaDiCaL version: 2.1.3
% 6.91/1.46  % (1332685)Termination reason: Instruction limit
% 6.91/1.46  % (1332685)Termination phase: Saturation
% 6.91/1.46  % (1332685)Time elapsed: 0.212 s
% 6.91/1.46  % (1332685)Peak memory usage: 18 MB
% 6.91/1.46  % (1332685)Instructions burned: 451 (million)
% 6.91/1.46  % (1332738)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=799896862:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2991 on theBenchmark for (2991ds/66Mi)
% 6.91/1.46  % (1332727)Instruction limit reached! 
% 6.91/1.46  % (1332727)------------------------------
% 6.91/1.46  % (1332727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.46  % (1332727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46  % (1332727)CaDiCaL version: 2.1.3
% 6.91/1.46  % (1332727)Termination reason: Instruction limit
% 6.91/1.46  % (1332727)Termination phase: Property scanning
% 6.91/1.46  % (1332727)Time elapsed: 0.040 s
% 6.91/1.46  % (1332727)Peak memory usage: 11 MB
% 6.91/1.46  % (1332727)Instructions burned: 92 (million)
% 6.91/1.46  % (1332746)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2043689436:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2991 on theBenchmark for (2991ds/22Mi)
% 6.91/1.46  % (1332746)Instruction limit reached! 
% 6.91/1.46  % (1332746)------------------------------
% 6.91/1.46  % (1332746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.46  % (1332746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46  % (1332746)CaDiCaL version: 2.1.3
% 6.91/1.46  % (1332746)Termination reason: Instruction limit
% 6.91/1.46  % (1332746)Termination phase: shuffling
% 6.91/1.46  % (1332746)Time elapsed: 0.011 s
% 6.91/1.46  % (1332746)Peak memory usage: 10 MB
% 6.91/1.46  % (1332746)Instructions burned: 23 (million)
% 6.91/1.46  % (1332753)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2034982683:i=338:bd=all:ins=4:rtra=on_2991 on theBenchmark for (2991ds/338Mi)
% 6.91/1.46  % (1332738)Instruction limit reached! 
% 6.91/1.46  % (1332738)------------------------------
% 6.91/1.46  % (1332738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.46  % (1332738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46  % (1332738)CaDiCaL version: 2.1.3
% 6.91/1.46  % (1332738)Termination reason: Instruction limit
% 6.91/1.46  % (1332738)Termination phase: SInE selection
% 6.91/1.46  % (1332738)Time elapsed: 0.029 s
% 6.91/1.46  % (1332738)Peak memory usage: 11 MB
% 6.91/1.46  % (1332738)Instructions burned: 66 (million)
% 6.91/1.46  % (1332762)lrs+10_1_sil=128000:si=on:urr=on:random_seed=930103612:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/28Mi)
% 7.52/1.60  % (1332766)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.52/1.60  % (1332766)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3718819316:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/137Mi)
% 7.52/1.60  % (1332762)Instruction limit reached! 
% 7.52/1.60  % (1332762)------------------------------
% 7.52/1.60  % (1332762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/1.60  % (1332762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/1.60  % (1332762)CaDiCaL version: 2.1.3
% 7.52/1.60  % (1332762)Termination reason: Instruction limit
% 7.52/1.60  % (1332762)Termination phase: shuffling
% 7.52/1.60  % (1332762)Time elapsed: 0.014 s
% 7.52/1.60  % (1332762)Peak memory usage: 11 MB
% 7.52/1.60  % (1332762)Instructions burned: 29 (million)
% 7.52/1.60  % (1332723)Instruction limit reached! 
% 7.52/1.60  % (1332723)------------------------------
% 7.52/1.60  % (1332723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/1.60  % (1332723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/1.60  % (1332723)CaDiCaL version: 2.1.3
% 7.52/1.60  % (1332723)Termination reason: Instruction limit
% 7.52/1.60  % (1332723)Termination phase: Saturation
% 7.52/1.60  % (1332723)Time elapsed: 0.126 s
% 7.52/1.60  % (1332723)Peak memory usage: 18 MB
% 7.52/1.60  % (1332723)Instructions burned: 497 (million)
% 7.52/1.60  % (1332683)Instruction limit reached! 
% 7.52/1.60  % (1332683)------------------------------
% 7.52/1.60  % (1332683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/1.60  % (1332683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/1.60  % (1332683)CaDiCaL version: 2.1.3
% 7.52/1.60  % (1332683)Termination reason: Instruction limit
% 7.52/1.60  % (1332683)Termination phase: Saturation
% 7.52/1.60  % (1332683)Time elapsed: 0.310 s
% 7.52/1.60  % (1332683)Peak memory usage: 20 MB
% 7.52/1.60  % (1332683)Instructions burned: 572 (million)
% 7.52/1.60  % (1332786)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3919237761:i=227:sd=1:bd=all:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/227Mi)
% 7.52/1.60  % (1332781)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=2427751927:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/340Mi)
% 7.52/1.60  % (1332791)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.52/1.60  % (1332791)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=648198187:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/373Mi)
% 7.52/1.60  % (1332766)Instruction limit reached! 
% 7.52/1.60  % (1332766)------------------------------
% 7.52/1.60  % (1332766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/1.60  % (1332766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/1.60  % (1332766)CaDiCaL version: 2.1.3
% 7.52/1.60  % (1332766)Termination reason: Instruction limit
% 7.52/1.60  % (1332766)Termination phase: Property scanning
% 7.52/1.60  % (1332766)Time elapsed: 0.057 s
% 7.52/1.60  % (1332766)Peak memory usage: 12 MB
% 7.52/1.60  % (1332766)Instructions burned: 138 (million)
% 7.52/1.60  % (1332721)Instruction limit reached! 
% 7.52/1.60  % (1332721)------------------------------
% 7.52/1.60  % (1332721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.52/1.60  % (1332721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/1.60  % (1332721)CaDiCaL version: 2.1.3
% 7.52/1.60  % (1332721)Termination reason: Instruction limit
% 7.52/1.60  % (1332721)Termination phase: Saturation
% 7.52/1.60  % (1332721)Time elapsed: 0.165 s
% 7.52/1.60  % (1332721)Peak memory usage: 16 MB
% 7.52/1.60  % (1332721)Instructions burned: 375 (million)
% 7.52/1.60  % (1332811)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2284708128:i=116:ep=RSTC:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/116Mi)
% 7.52/1.60  % (1332786)Instruction limit reached! 
% 7.52/1.60  % (1332786)------------------------------
% 7.52/1.60  % (1332786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.74  % (1332786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.74  % (1332786)CaDiCaL version: 2.1.3
% 8.30/1.74  % (1332786)Termination reason: Instruction limit
% 8.30/1.74  % (1332786)Termination phase: Saturation
% 8.30/1.74  % (1332786)Time elapsed: 0.051 s
% 8.30/1.74  % (1332786)Peak memory usage: 14 MB
% 8.30/1.74  % (1332786)Instructions burned: 228 (million)
% 8.30/1.74  % (1332814)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=862654472:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 8.30/1.74  % (1332822)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2572653396:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2989 on theBenchmark for (2989ds/270Mi)
% 8.30/1.74  % (1332753)Instruction limit reached! 
% 8.30/1.74  % (1332753)------------------------------
% 8.30/1.74  % (1332753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.74  % (1332753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.74  % (1332753)CaDiCaL version: 2.1.3
% 8.30/1.74  % (1332753)Termination reason: Instruction limit
% 8.30/1.74  % (1332753)Termination phase: Saturation
% 8.30/1.74  % (1332753)Time elapsed: 0.147 s
% 8.30/1.74  % (1332753)Peak memory usage: 17 MB
% 8.30/1.74  % (1332753)Instructions burned: 340 (million)
% 8.30/1.74  % (1332811)Instruction limit reached! 
% 8.30/1.74  % (1332811)------------------------------
% 8.30/1.74  % (1332811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.74  % (1332811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.74  % (1332811)CaDiCaL version: 2.1.3
% 8.30/1.74  % (1332811)Termination reason: Instruction limit
% 8.30/1.74  % (1332811)Termination phase: Preprocessing 3
% 8.30/1.74  % (1332811)Time elapsed: 0.054 s
% 8.30/1.74  % (1332811)Peak memory usage: 13 MB
% 8.30/1.74  % (1332811)Instructions burned: 117 (million)
% 8.30/1.74  % (1332840)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3413746977:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/9840Mi)
% 8.30/1.74  % (1332822)Instruction limit reached! 
% 8.30/1.74  % (1332822)------------------------------
% 8.30/1.74  % (1332822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.74  % (1332822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.74  % (1332822)CaDiCaL version: 2.1.3
% 8.30/1.74  % (1332822)Termination reason: Instruction limit
% 8.30/1.74  % (1332822)Termination phase: Saturation
% 8.30/1.74  % (1332822)Time elapsed: 0.058 s
% 8.30/1.74  % (1332822)Peak memory usage: 14 MB
% 8.30/1.74  % (1332822)Instructions burned: 270 (million)
% 8.30/1.74  % (1332844)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1902195926:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 8.30/1.74  % (1332849)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 8.30/1.74  % (1332849)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2714854663:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 8.30/1.74  % (1332781)Instruction limit reached! 
% 8.30/1.74  % (1332781)------------------------------
% 8.30/1.74  % (1332781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.74  % (1332781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.74  % (1332781)CaDiCaL version: 2.1.3
% 8.30/1.74  % (1332781)Termination reason: Instruction limit
% 8.30/1.74  % (1332781)Termination phase: Saturation
% 8.30/1.74  % (1332781)Time elapsed: 0.145 s
% 8.30/1.74  % (1332781)Peak memory usage: 15 MB
% 8.30/1.74  % (1332781)Instructions burned: 342 (million)
% 8.30/1.74  % (1332860)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1171836449:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/31Mi)
% 8.30/1.74  % (1332791)Instruction limit reached! 
% 8.30/1.74  % (1332791)------------------------------
% 8.30/1.74  % (1332791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.99  % (1332791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.99  % (1332791)CaDiCaL version: 2.1.3
% 8.78/1.99  % (1332791)Termination reason: Instruction limit
% 8.78/1.99  % (1332791)Termination phase: Saturation
% 8.78/1.99  % (1332791)Time elapsed: 0.159 s
% 8.78/1.99  % (1332791)Peak memory usage: 14 MB
% 8.78/1.99  % (1332791)Instructions burned: 373 (million)
% 8.78/1.99  % (1332860)Instruction limit reached! 
% 8.78/1.99  % (1332860)------------------------------
% 8.78/1.99  % (1332860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.99  % (1332860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.99  % (1332860)CaDiCaL version: 2.1.3
% 8.78/1.99  % (1332860)Termination reason: Instruction limit
% 8.78/1.99  % (1332860)Termination phase: shuffling
% 8.78/1.99  % (1332860)Time elapsed: 0.014 s
% 8.78/1.99  % (1332860)Peak memory usage: 11 MB
% 8.78/1.99  % (1332860)Instructions burned: 32 (million)
% 8.78/1.99  % (1332849)Instruction limit reached! 
% 8.78/1.99  % (1332849)------------------------------
% 8.78/1.99  % (1332849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.99  % (1332849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.99  % (1332849)CaDiCaL version: 2.1.3
% 8.78/1.99  % (1332849)Termination reason: Instruction limit
% 8.78/1.99  % (1332849)Termination phase: Saturation
% 8.78/1.99  % (1332849)Time elapsed: 0.060 s
% 8.78/1.99  % (1332849)Peak memory usage: 15 MB
% 8.78/1.99  % (1332849)Instructions burned: 272 (million)
% 8.78/1.99  % (1332865)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 8.78/1.99  % (1332865)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 8.78/1.99  % (1332865)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=466856243:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2988 on theBenchmark for (2988ds/1440Mi)
% 8.78/1.99  % (1332866)dis+10_2_sil=128000:si=on:random_seed=2254633880:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 8.78/1.99  % (1332867)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1663188411:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 8.78/1.99  % (1332867)Instruction limit reached! 
% 8.78/1.99  % (1332867)------------------------------
% 8.78/1.99  % (1332867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.99  % (1332867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.99  % (1332867)CaDiCaL version: 2.1.3
% 8.78/1.99  % (1332867)Termination reason: Instruction limit
% 8.78/1.99  % (1332867)Termination phase: Property scanning
% 8.78/1.99  % (1332867)Time elapsed: 0.026 s
% 8.78/1.99  % (1332867)Peak memory usage: 12 MB
% 8.78/1.99  % (1332867)Instructions burned: 115 (million)
% 8.78/1.99  % (1332871)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3837247913:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/122Mi)
% 8.78/1.99  % (1332871)Instruction limit reached! 
% 8.78/1.99  % (1332871)------------------------------
% 8.78/1.99  % (1332871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.99  % (1332871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/1.99  % (1332871)CaDiCaL version: 2.1.3
% 8.78/1.99  % (1332871)Termination reason: Instruction limit
% 8.78/1.99  % (1332871)Termination phase: Property scanning
% 8.78/1.99  % (1332871)Time elapsed: 0.028 s
% 8.78/1.99  % (1332871)Peak memory usage: 12 MB
% 8.78/1.99  % (1332871)Instructions burned: 123 (million)
% 8.78/1.99  % (1332873)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=4289882332:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/136Mi)
% 8.78/1.99  % (1332873)Instruction limit reached! 
% 8.78/1.99  % (1332873)------------------------------
% 8.78/1.99  % (1332873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.78/1.99  % (1332873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.16  % (1332873)CaDiCaL version: 2.1.3
% 12.56/2.16  % (1332873)Termination reason: Instruction limit
% 12.56/2.16  % (1332873)Termination phase: Function definition elimination
% 12.56/2.16  % (1332873)Time elapsed: 0.030 s
% 12.56/2.16  % (1332873)Peak memory usage: 12 MB
% 12.56/2.16  % (1332873)Instructions burned: 136 (million)
% 12.56/2.16  % (1332844)Instruction limit reached! 
% 12.56/2.16  % (1332844)------------------------------
% 12.56/2.16  % (1332844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.16  % (1332844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.16  % (1332844)CaDiCaL version: 2.1.3
% 12.56/2.16  % (1332844)Termination reason: Instruction limit
% 12.56/2.16  % (1332844)Termination phase: Saturation
% 12.56/2.16  % (1332844)Time elapsed: 0.190 s
% 12.56/2.16  % (1332844)Peak memory usage: 17 MB
% 12.56/2.16  % (1332844)Instructions burned: 422 (million)
% 12.56/2.16  % (1332814)Instruction limit reached! 
% 12.56/2.16  % (1332814)------------------------------
% 12.56/2.16  % (1332814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.16  % (1332814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.16  % (1332814)CaDiCaL version: 2.1.3
% 12.56/2.16  % (1332814)Termination reason: Instruction limit
% 12.56/2.16  % (1332814)Termination phase: Saturation
% 12.56/2.16  % (1332814)Time elapsed: 0.263 s
% 12.56/2.16  % (1332814)Peak memory usage: 18 MB
% 12.56/2.16  % (1332814)Instructions burned: 577 (million)
% 12.56/2.16  % (1332885)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3899729854:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/232Mi)
% 12.56/2.16  % (1332890)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 12.56/2.16  % (1332889)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=669171732:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/1254Mi)
% 12.56/2.16  % (1332890)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=1661380792:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2987 on theBenchmark for (2987ds/281Mi)
% 12.56/2.16  % (1332866)Instruction limit reached! 
% 12.56/2.16  % (1332866)------------------------------
% 12.56/2.16  % (1332866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.16  % (1332866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.16  % (1332866)CaDiCaL version: 2.1.3
% 12.56/2.16  % (1332866)Termination reason: Instruction limit
% 12.56/2.16  % (1332866)Termination phase: Saturation
% 12.56/2.16  % (1332866)Time elapsed: 0.144 s
% 12.56/2.16  % (1332866)Peak memory usage: 15 MB
% 12.56/2.16  % (1332866)Instructions burned: 339 (million)
% 12.56/2.16  % (1332913)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3607713415:i=619:add=on:rtra=on_2986 on theBenchmark for (2986ds/619Mi)
% 12.56/2.16  % (1332885)Instruction limit reached! 
% 12.56/2.16  % (1332885)------------------------------
% 12.56/2.16  % (1332885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.16  % (1332885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.16  % (1332885)CaDiCaL version: 2.1.3
% 12.56/2.16  % (1332885)Termination reason: Instruction limit
% 12.56/2.16  % (1332885)Termination phase: Property scanning
% 12.56/2.16  % (1332885)Time elapsed: 0.055 s
% 12.56/2.16  % (1332885)Peak memory usage: 15 MB
% 12.56/2.16  % (1332885)Instructions burned: 232 (million)
% 12.56/2.16  % (1332929)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2308689471:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/865Mi)
% 12.56/2.16  % (1332890)Instruction limit reached! 
% 12.56/2.16  % (1332890)------------------------------
% 12.56/2.16  % (1332890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.16  % (1332890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.16  % (1332890)CaDiCaL version: 2.1.3
% 12.56/2.16  % (1332890)Termination reason: Instruction limit
% 12.56/2.16  % (1332890)Termination phase: Saturation
% 12.56/2.16  % (1332890)Time elapsed: 0.114 s
% 12.56/2.16  % (1332890)Peak memory usage: 13 MB
% 12.56/2.16  % (1332890)Instructions burned: 282 (million)
% 12.56/2.17  % (1332932)lrs+10_1_sil=128000:si=on:urr=on:random_seed=24690608:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/212Mi)
% 12.56/2.17  % (1332932)Instruction limit reached! 
% 12.56/2.17  % (1332932)------------------------------
% 12.56/2.17  % (1332932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332932)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332932)Termination reason: Instruction limit
% 12.56/2.17  % (1332932)Termination phase: Saturation
% 12.56/2.17  % (1332932)Time elapsed: 0.088 s
% 12.56/2.17  % (1332932)Peak memory usage: 14 MB
% 12.56/2.17  % (1332932)Instructions burned: 212 (million)
% 12.56/2.17  % (1332934)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3082547133:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/130Mi)
% 12.56/2.17  % (1332929)Instruction limit reached! 
% 12.56/2.17  % (1332929)------------------------------
% 12.56/2.17  % (1332929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332929)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332929)Termination reason: Instruction limit
% 12.56/2.17  % (1332929)Termination phase: Saturation
% 12.56/2.17  % (1332929)Time elapsed: 0.216 s
% 12.56/2.17  % (1332929)Peak memory usage: 22 MB
% 12.56/2.17  % (1332929)Instructions burned: 870 (million)
% 12.56/2.17  % (1332936)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=752956518:st=1.5:i=346:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/346Mi)
% 12.56/2.17  % (1332913)Instruction limit reached! 
% 12.56/2.17  % (1332913)------------------------------
% 12.56/2.17  % (1332913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332913)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332913)Termination reason: Instruction limit
% 12.56/2.17  % (1332913)Termination phase: Saturation
% 12.56/2.17  % (1332913)Time elapsed: 0.258 s
% 12.56/2.17  % (1332913)Peak memory usage: 17 MB
% 12.56/2.17  % (1332913)Instructions burned: 620 (million)
% 12.56/2.17  % (1332934)Instruction limit reached! 
% 12.56/2.17  % (1332934)------------------------------
% 12.56/2.17  % (1332934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332934)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332934)Termination reason: Instruction limit
% 12.56/2.17  % (1332934)Termination phase: Property scanning
% 12.56/2.17  % (1332934)Time elapsed: 0.056 s
% 12.56/2.17  % (1332934)Peak memory usage: 12 MB
% 12.56/2.17  % (1332934)Instructions burned: 131 (million)
% 12.56/2.17  % (1332938)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1269927281:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/152Mi)
% 12.56/2.17  % (1332939)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1265786706:i=75:ep=R:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/75Mi)
% 12.56/2.17  % (1332939)Instruction limit reached! 
% 12.56/2.17  % (1332939)------------------------------
% 12.56/2.17  % (1332939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332939)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332939)Termination reason: Instruction limit
% 12.56/2.17  % (1332939)Termination phase: Property scanning
% 12.56/2.17  % (1332939)Time elapsed: 0.032 s
% 12.56/2.17  % (1332939)Peak memory usage: 11 MB
% 12.56/2.17  % (1332939)Instructions burned: 76 (million)
% 12.56/2.17  % (1332936)Instruction limit reached! 
% 12.56/2.17  % (1332936)------------------------------
% 12.56/2.17  % (1332936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332936)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332936)Termination reason: Instruction limit
% 12.56/2.17  % (1332936)Termination phase: Saturation
% 12.56/2.17  % (1332936)Time elapsed: 0.076 s
% 12.56/2.17  % (1332936)Peak memory usage: 15 MB
% 12.56/2.17  % (1332936)Instructions burned: 349 (million)
% 12.56/2.17  % (1332943)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3594608536:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2983 on theBenchmark for (2983ds/148Mi)
% 12.56/2.17  % (1332942)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2519319655:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/387Mi)
% 12.56/2.17  % (1332938)Instruction limit reached! 
% 12.56/2.17  % (1332938)------------------------------
% 12.56/2.17  % (1332938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332938)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332938)Termination reason: Instruction limit
% 12.56/2.17  % (1332938)Termination phase: Property scanning
% 12.56/2.17  % (1332938)Time elapsed: 0.064 s
% 12.56/2.17  % (1332938)Peak memory usage: 12 MB
% 12.56/2.17  % (1332938)Instructions burned: 154 (million)
% 12.56/2.17  % (1332946)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1612162723:i=161:piset=and:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/161Mi)
% 12.56/2.17  % (1332943)Instruction limit reached! 
% 12.56/2.17  % (1332943)------------------------------
% 12.56/2.17  % (1332943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332943)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332943)Termination reason: Instruction limit
% 12.56/2.17  % (1332943)Termination phase: Saturation
% 12.56/2.17  % (1332943)Time elapsed: 0.033 s
% 12.56/2.17  % (1332943)Peak memory usage: 13 MB
% 12.56/2.17  % (1332943)Instructions burned: 153 (million)
% 12.56/2.17  % (1332948)lrs+10_1_sil=128000:si=on:random_seed=3687696092:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/888Mi)
% 12.56/2.17  % (1332865)Instruction limit reached! 
% 12.56/2.17  % (1332865)------------------------------
% 12.56/2.17  % (1332865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332865)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332865)Termination reason: Instruction limit
% 12.56/2.17  % (1332865)Termination phase: Saturation
% 12.56/2.17  % (1332865)Time elapsed: 0.594 s
% 12.56/2.17  % (1332865)Peak memory usage: 30 MB
% 12.56/2.17  % (1332865)Instructions burned: 1440 (million)
% 12.56/2.17  % (1332946)Instruction limit reached! 
% 12.56/2.17  % (1332946)------------------------------
% 12.56/2.17  % (1332946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332946)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332946)Termination reason: Instruction limit
% 12.56/2.17  % (1332946)Termination phase: Property scanning
% 12.56/2.17  % (1332946)Time elapsed: 0.069 s
% 12.56/2.17  % (1332946)Peak memory usage: 12 MB
% 12.56/2.17  % (1332946)Instructions burned: 163 (million)
% 12.56/2.17  % (1332950)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=2287570494:i=136:add=on:ins=4:rtra=on:sup=off_2982 on theBenchmark for (2982ds/136Mi)
% 12.56/2.17  % (1332951)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3782529178:i=88:s2at=3:nm=2:rtra=on:rawr=on_2982 on theBenchmark for (2982ds/88Mi)
% 12.56/2.17  % (1332951)Instruction limit reached! 
% 12.56/2.17  % (1332951)------------------------------
% 12.56/2.17  % (1332951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332951)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332951)Termination reason: Instruction limit
% 12.56/2.17  % (1332951)Termination phase: Property scanning
% 12.56/2.17  % (1332951)Time elapsed: 0.037 s
% 12.56/2.17  % (1332951)Peak memory usage: 11 MB
% 12.56/2.17  % (1332951)Instructions burned: 88 (million)
% 12.56/2.17  % (1332840) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1332434-1332840"...
% 12.56/2.17  % (1332942)Instruction limit reached! 
% 12.56/2.17  % (1332942)------------------------------
% 12.56/2.17  % (1332942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332942)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332942)Termination reason: Instruction limit
% 12.56/2.17  % (1332942)Termination phase: Saturation
% 12.56/2.17  % (1332942)Time elapsed: 0.160 s
% 12.56/2.17  % (1332942)Peak memory usage: 16 MB
% 12.56/2.17  % (1332942)Instructions burned: 389 (million)
% 12.56/2.17  % (1332950)Instruction limit reached! 
% 12.56/2.17  % (1332950)------------------------------
% 12.56/2.17  % (1332950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332950)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332950)Termination reason: Instruction limit
% 12.56/2.17  % (1332950)Termination phase: Function definition elimination
% 12.56/2.17  % (1332950)Time elapsed: 0.057 s
% 12.56/2.17  % (1332950)Peak memory usage: 12 MB
% 12.56/2.17  % (1332950)Instructions burned: 136 (million)
% 12.56/2.17  % (1332840)...printing done.
% 12.56/2.17  % (1332840)Refutation found. Thanks to Tanya!
% 12.56/2.17  % SZS status Theorem for theBenchmark
% 12.56/2.17  % SZS output start Proof for theBenchmark
% See solution above
% 12.56/2.17  % (1332840)------------------------------
% 12.56/2.17  % (1332840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.17  % (1332840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.17  % (1332840)CaDiCaL version: 2.1.3
% 12.56/2.17  % (1332840)Termination reason: Refutation
% 12.56/2.17  % (1332840)Time elapsed: 0.753 s
% 12.56/2.17  % (1332840)Peak memory usage: 27 MB
% 12.56/2.17  % (1332840)Instructions burned: 1434 (million)
% 12.56/2.17  % (1332434)Success in time 1.846 s
% 12.56/2.17  % Vampire exiting
%------------------------------------------------------------------------------