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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU731^1 : 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 : n018.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 08:31:00 AM UTC 2026

% Result   : Theorem 7.54s 1.69s
% Output   : Refutation 7.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   89 (  28 unt;   0 typ;  10 def)
%            Number of atoms       : 4294 (1142 equ;   0 cnn)
%            Maximal formula atoms :  249 (  48 avg)
%            Number of connectives : 2417 ( 106   ~;  97   |; 765   &; 428   @)
%                                         (  17 <=>;1004  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  254 (  23 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     :  479 ( 476 usr; 284 con; 0-4 aty)
%            Number of variables   :   86 (   0 sgn  70   !;  16   ?;  86   :)

% 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_288,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_289,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_290,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_291,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_292,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_293,type,
    vAND: $o > $o > $o ).

thf(func_def_294,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_295,type,
    vIMP: $o > $o > $o ).

thf(func_def_296,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_297,type,
    vOR: $o > $o > $o ).

thf(func_def_298,type,
    vNOT: $o > $o ).

thf(func_def_299,type,
    sP0: $i > $i > $o ).

thf(func_def_300,type,
    sP1: $i > $o ).

thf(func_def_306,type,
    sK7: $i > $o ).

thf(func_def_308,type,
    sK9: $i > ( $i > $o ) > $i ).

thf(func_def_311,type,
    sK12: $i > $i > $i ).

thf(func_def_316,type,
    sK17: $i > $o ).

thf(func_def_319,type,
    sK20: $i > $i > $i ).

thf(func_def_324,type,
    sK25: $i > $i > $i ).

thf(func_def_330,type,
    sK31: $i > $i ).

thf(func_def_331,type,
    sK32: $i > $i ).

thf(func_def_334,type,
    sK35: $i > $i > $i ).

thf(func_def_335,type,
    sK36: $i > $i > $i ).

thf(func_def_349,type,
    sK50: ( $i > $o ) > $i > $i ).

thf(func_def_351,type,
    sK52: $i > $o ).

thf(func_def_356,type,
    sK57: $i > $i > $o ).

thf(func_def_360,type,
    sK61: $i > $i > $i ).

thf(func_def_363,type,
    sK64: $i > $i > $i > $i ).

thf(func_def_367,type,
    sK68: $o ).

thf(func_def_377,type,
    sK78: $o ).

thf(func_def_385,type,
    sK86: $i > ( $i > $o ) > $i ).

thf(func_def_386,type,
    sK87: $i > $o ).

thf(func_def_390,type,
    sK91: $i > $o ).

thf(func_def_392,type,
    sK93: ( $i > $o ) > $i > $i ).

thf(func_def_393,type,
    sK94: ( $i > $o ) > $i > $i ).

thf(func_def_397,type,
    sK98: $i > $i > $i > $i > $i ).

thf(func_def_398,type,
    sK99: $i > $i > $i > $i > $i ).

thf(func_def_408,type,
    sK109: $o ).

thf(func_def_420,type,
    sK121: $i > $o ).

thf(func_def_421,type,
    sK122: ( $i > $i ) > $i > $i > $i ).

thf(func_def_424,type,
    sK125: $i > $i ).

thf(func_def_444,type,
    sK145: ( $i > $o ) > $i ).

thf(func_def_445,type,
    sK146: $i > $o ).

thf(func_def_446,type,
    sK147: $i > $i ).

thf(func_def_449,type,
    sK150: $i > $i > $o ).

thf(func_def_458,type,
    sK159: $o ).

thf(func_def_486,type,
    sK187: $i > ( $i > $o ) > $i ).

thf(func_def_487,type,
    sK188: $i > $o ).

thf(func_def_497,type,
    sK198: $i > $i > $i > $i > $i ).

thf(func_def_502,type,
    sK203: $i > $o ).

thf(func_def_511,type,
    sK212: $i > $i ).

thf(func_def_515,type,
    sK216: $i > $i > ( $i > $i ) > $i ).

thf(func_def_528,type,
    sK229: $o ).

thf(func_def_532,type,
    sK233: $i > $i ).

thf(func_def_533,type,
    sK234: $i > $o ).

thf(func_def_538,type,
    sK239: $i > $i > $i > $i ).

thf(func_def_539,type,
    sK240: $i > $i > $i > $i ).

thf(func_def_543,type,
    sK244: $i > $o ).

thf(func_def_561,type,
    sK262: $i > $i > $i > $i > $i ).

thf(func_def_562,type,
    sK263: $o ).

thf(func_def_575,type,
    sK276: $i > $i > $i > $i ).

thf(func_def_576,type,
    sK277: $i > $i > $i > $i ).

thf(func_def_588,type,
    sK289: $o ).

thf(func_def_597,type,
    sK298: $i > $i > $i > $i > $i ).

thf(func_def_604,type,
    sK305: $o ).

thf(func_def_616,type,
    sK317: $o ).

thf(func_def_619,type,
    sK320: $i > $i ).

thf(func_def_620,type,
    sK321: $i > $i ).

thf(func_def_621,type,
    sK322: $i > $i ).

thf(func_def_622,type,
    sK323: $i > $i ).

thf(func_def_623,type,
    sK324: $i > $i > $i ).

thf(func_def_624,type,
    sK325: $i > $i > $i > $i ).

thf(func_def_625,type,
    sK326: $i > $i > $i > $i ).

thf(func_def_626,type,
    sK327: $i > $i > $i > $i ).

thf(func_def_627,type,
    sK328: $i > $i > $i ).

thf(func_def_628,type,
    sK329: $i > $i > $i ).

thf(func_def_629,type,
    sK330: $i > $i > $i ).

thf(func_def_630,type,
    sK331: $i > $i > $i ).

thf(func_def_632,type,
    sK333: $i > $i ).

thf(func_def_633,type,
    sK334: $i > $i ).

thf(func_def_634,type,
    sK335: $i > $i ).

thf(func_def_635,type,
    sK336: $i > $i ).

thf(func_def_636,type,
    sK337: $i > $i ).

thf(func_def_637,type,
    sK338: $i > $i > $i > $i ).

thf(func_def_643,type,
    sK344: $i > $i > $i > $i ).

thf(func_def_648,type,
    sK349: ( $i > $o ) > $i > $i ).

thf(func_def_650,type,
    sK351: $i > $o ).

thf(func_def_667,type,
    sK368: $o ).

thf(func_def_668,type,
    sK369: $o > $i > $i > $i ).

thf(func_def_672,type,
    sK373: $i > $i > $o ).

thf(func_def_678,type,
    sK379: $i > $o ).

thf(func_def_681,type,
    sK382: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_682,type,
    sK383: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_686,type,
    sK387: $i > $o ).

thf(func_def_690,type,
    sK391: $i > $i > $i ).

thf(func_def_691,type,
    sK392: $i > $o ).

thf(func_def_698,type,
    sK399: $i > $i > $i ).

thf(func_def_703,type,
    sK404: $i > $i ).

thf(func_def_705,type,
    sK406: ( $i > $o ) > $i > $i ).

thf(func_def_706,type,
    sK407: ( $i > $o ) > $i > $i ).

thf(func_def_708,type,
    sK409: $i > $o ).

thf(func_def_717,type,
    sK418: $i > $o ).

thf(func_def_724,type,
    sK425: $i > $i > $o ).

thf(func_def_737,type,
    sK438: $o ).

thf(func_def_741,type,
    sK442: $i > $i > $i ).

thf(func_def_752,type,
    sK453: $i > ( $i > $i > $o ) > $i ).

thf(func_def_753,type,
    sK454: $i > $i > ( $i > $i > $o ) > $i ).

thf(func_def_754,type,
    sK455: $i > ( $i > $i > $o ) > $i ).

thf(func_def_755,type,
    sK456: $i > $i > $o ).

thf(func_def_757,type,
    sK458: $i > $i ).

thf(func_def_758,type,
    sK459: $i > $i ).

thf(func_def_775,type,
    sK476: $i > $o ).

thf(func_def_778,type,
    sK479: $i > ( $i > $o ) > $i ).

thf(func_def_796,type,
    sK497: $i > $o ).

thf(func_def_798,type,
    sK499: ( $i > $o ) > $i > $i ).

thf(func_def_804,type,
    sK505: $o ).

thf(func_def_811,type,
    sK512: $i > $i > $o ).

thf(func_def_819,type,
    sK520: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_820,type,
    sK521: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_821,type,
    sK522: $i > $o ).

thf(func_def_822,type,
    sK523: $i > $o ).

thf(func_def_825,type,
    sK526: $o ).

thf(func_def_831,type,
    sK532: $i > $i > $o ).

thf(func_def_840,type,
    sK541: $i > $o ).

thf(func_def_841,type,
    sK542: $o ).

thf(func_def_847,type,
    sK548: $i > $o ).

thf(func_def_850,type,
    sK551: $i > ( $i > $o ) > $i ).

thf(func_def_857,type,
    sK558: $i > $o ).

thf(func_def_862,type,
    sK563: $o ).

thf(func_def_864,type,
    sK565: $o ).

thf(func_def_878,type,
    sK579: ( $i > $o ) > $i ).

thf(func_def_879,type,
    sK580: ( $i > $o ) > $i ).

thf(func_def_880,type,
    sK581: $i > $o ).

thf(func_def_888,type,
    sK589: $i > $o ).

thf(func_def_892,type,
    sK593: $i > $o ).

thf(func_def_893,type,
    sK594: $i > $i ).

thf(func_def_894,type,
    sK595: ( $i > $o ) > $i ).

thf(func_def_907,type,
    sK608: $i > $o ).

thf(func_def_913,type,
    sK614: ( $i > $i ) > $i > $i > $i ).

thf(func_def_916,type,
    sK617: $i > $i ).

thf(func_def_928,type,
    sK629: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).

thf(func_def_929,type,
    sK630: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).

thf(func_def_932,type,
    sK633: $i > $o ).

thf(func_def_933,type,
    sK634: $i > $o ).

thf(func_def_937,type,
    sK638: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_938,type,
    sK639: ( $i > $o ) > $i > $i > $i > $i ).

thf(func_def_942,type,
    sK643: $i > $o ).

thf(func_def_951,type,
    sK652: $i > $i ).

thf(func_def_952,type,
    sK653: $i > $i > ( $i > $i ) > $i ).

thf(func_def_953,type,
    sK654: $i > $i ).

thf(func_def_962,type,
    sK663: $i > $i > $i > $i > $i ).

thf(func_def_963,type,
    sK664: $i > $i > $i > $i > $i ).

thf(func_def_964,type,
    sK665: $i > $i > $i > $i > $i ).

thf(func_def_965,type,
    sK666: $i > $i > $i > $i > $i ).

thf(func_def_976,type,
    sK677: $i > $o ).

thf(func_def_977,type,
    sK678: ( $i > $o ) > $i > $i > $i ).

thf(func_def_978,type,
    sK679: $i > $i > ( $i > $i ) > $i ).

thf(func_def_979,type,
    sK680: $i > $i ).

thf(func_def_982,type,
    sK683: $i > $i > $i ).

thf(func_def_990,type,
    sK691: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_991,type,
    sK692: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_992,type,
    sK693: $i > $o ).

thf(func_def_993,type,
    sK694: $i > $o ).

thf(func_def_1002,type,
    sK703: $i > $i ).

thf(func_def_1004,type,
    sK705: $i > ( $i > $i ) > $i > $i ).

thf(func_def_1007,type,
    sK708: $i > $i > $o ).

thf(func_def_1019,type,
    sK720: $i > $o ).

thf(func_def_1022,type,
    sK723: $i > ( $i > $o ) > $i ).

thf(func_def_1026,type,
    sK727: $o ).

thf(func_def_1036,type,
    sK737: ( $i > $o ) > $i ).

thf(func_def_1037,type,
    sK738: $i > $o ).

thf(func_def_1055,type,
    sK756: $i > $o ).

thf(func_def_1062,type,
    sK763: $i > $i ).

thf(func_def_1067,type,
    sK768: $i > $i ).

thf(f93,axiom,
    ! [X0: $i,X1: $i] :
      ( ( ( subset @ X0 @ X1 )
       => ( ( subset @ X1 @ X0 )
         => ( X0 = X1 ) ) )
      = setextsub ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextsub) ).

thf(f250,axiom,
    ! [X0: $i,X1: $i] :
      ( ( ( in @ X1 @ ( powerset @ X0 ) )
       => ( subset @ X1 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) ) )
      = doubleComplementSub1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',doubleComplementSub1) ).

thf(f251,axiom,
    ( doubleComplementSub2
    = ( ! [X0: $i,X1: $i] :
          ( ( in @ X1 @ ( powerset @ X0 ) )
         => ( subset @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',doubleComplementSub2) ).

thf(f252,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
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ! [X1: $i,X0: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ( ( in @ X1 @ ( powerset @ X0 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ( X1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      = ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',doubleComplementEq) ).

thf(f253,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
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ! [X1: $i,X0: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ( ( in @ X1 @ ( powerset @ X0 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( X1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        = ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f252]) ).

thf(f381,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
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ! [X0: $i,X1: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ( ( in @ X0 @ ( powerset @ X1 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( setminus @ X1 @ ( setminus @ X1 @ X0 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        = X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f253]) ).

thf(f382,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 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ! [X1: $i,X0: $i] :
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ( ( ( in @ X0 @ ( powerset @ X1 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        = $true )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ( ( setminus @ X1 @ ( setminus @ X1 @ X0 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        = X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f381]) ).

thf(f389,plain,
    ( doubleComplementSub2
    = ( ! [X0: $i,X1: $i] :
          ( ( in @ X1 @ ( powerset @ X0 ) )
         => ( subset @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X1 ) ) ) ),
    inference(rectify,[],[f251]) ).

thf(f390,plain,
    ( ( doubleComplementSub2 = $true )
  <=> ! [X1: $i,X0: $i] :
        ( ( ( in @ X1 @ ( powerset @ X0 ) )
          = $true )
       => ( ( subset @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X1 )
          = $true ) ) ),
    inference(fool_elimination,[],[f389]) ).

thf(f486,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( subset @ X0 @ X1 )
       => ( ( subset @ X1 @ X0 )
         => ( X0 = X1 ) ) )
      = setextsub ),
    inference(rectify,[],[f93]) ).

thf(f487,plain,
    ( ! [X1: $i,X0: $i] :
        ( ( ( subset @ X0 @ X1 )
          = $true )
       => ( ( ( subset @ X1 @ X0 )
            = $true )
         => ( X0 = X1 ) ) )
  <=> ( setextsub = $true ) ),
    inference(fool_elimination,[],[f486]) ).

thf(f557,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( in @ X1 @ ( powerset @ X0 ) )
       => ( subset @ X1 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) ) )
      = doubleComplementSub1 ),
    inference(rectify,[],[f250]) ).

thf(f558,plain,
    ( ( doubleComplementSub1 = $true )
  <=> ! [X0: $i,X1: $i] :
        ( ( ( in @ X1 @ ( powerset @ X0 ) )
          = $true )
       => ( ( subset @ X1 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) )
          = $true ) ) ),
    inference(fool_elimination,[],[f557]) ).

thf(f956,plain,
    ( ! [X1: $i,X0: $i] :
        ( ( ( subset @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X1 )
          = $true )
        | ( ( in @ X1 @ ( powerset @ X0 ) )
         != $true ) )
  <=> ( doubleComplementSub2 = $true ) ),
    inference(ennf_transformation,[],[f390]) ).

thf(f971,plain,
    ( ? [X0: $i,X1: $i] :
        ( ( ( setminus @ X1 @ ( setminus @ X1 @ X0 ) )
         != X0 )
        & ( ( in @ X0 @ ( powerset @ X1 ) )
          = $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,[],[f382]) ).

thf(f972,plain,
    ( ( upairsetIR = $true )
    & ( setminusIRneg = $true )
    & ( exuI1 = $true )
    & ( iffalseProp1 = $true )
    & ( notequalI2 = $true )
    & ( binintersectSubset1 = $true )
    & ( subsetTrans = $true )
    & ( upairequniteq = $true )
    & ( binintersectTERcontra = $true )
    & ( omega0Ax = $true )
    & ( binintersectT_lem = $true )
    & ( eqimpsubset2 = $true )
    & ( binunionRsub = $true )
    & ( setukpairinjR1 = $true )
    & ( emptyI = $true )
    & ( wellorderingAx = $true )
    & ( cartprodpairmemEL = $true )
    & ( setunionsingleton = $true )
    & ( secondinupair = $true )
    & ( cartprodfstpairEq = $true )
    & ( complementTE1 = $true )
    & ( powersetE = $true )
    & ( doubleComplementSub1 = $true )
    & ( setoftrueEq = $true )
    & ( setadjoinAx = $true )
    & ( singletonprop = $true )
    & ( notinemptyset = $true )
    & ( ap2apEq2 = $true )
    & ( cartprodpairsurjEq = $true )
    & ( setukpairinjR2 = $true )
    & ( contrasubsetT2 = $true )
    & ( setext = $true )
    & ( ubforcartprodlem3 = $true )
    & ( emptyinunitempty = $true )
    & ( exuI3 = $true )
    & ( setminusEL = $true )
    & ( disjointsetsI1 = $true )
    & ( dsetconstr__Cong = $true )
    & ( exuE3u = $true )
    & ( eqimpsubset1 = $true )
    & ( subsetE = $true )
    & ( ex1E1 = $true )
    & ( setukpairinjL = $true )
    & ( notequalI1 = $true )
    & ( dpsetconstrERa = $true )
    & ( quantDeMorgan2 = $true )
    & ( omegaSAx = $true )
    & ( setunionsingleton1 = $true )
    & ( ksndsingleton = $true )
    & ( ifp = $true )
    & ( prop2setI = $true )
    & ( setextT = $true )
    & ( setunionE = $true )
    & ( powerset__Cong = $true )
    & ( symdiffI1 = $true )
    & ( eqbreln = $true )
    & ( contrasubsetT3 = $true )
    & ( ap2p = $true )
    & ( setadjoinE = $true )
    & ( setminusERneg = $true )
    & ( symdiffIneg1 = $true )
    & ( apProp = $true )
    & ( lam2p = $true )
    & ( emptysetE = $true )
    & ( setminusELneg = $true )
    & ( powersetT_lem = $true )
    & ( binintersectLsub = $true )
    & ( iftrue = $true )
    & ( setbeta = $true )
    & ( binunionEcases = $true )
    & ( nonemptyI1 = $true )
    & ( funcext = $true )
    & ( quantDeMorgan3 = $true )
    & ( doubleComplementSub2 = $true )
    & ( exuE3e = $true )
    & ( complementTI1 = $true )
    & ( upairsubunion = $true )
    & ( descrp = $true )
    & ( binunionIR = $true )
    & ( iffalse = $true )
    & ( binintersectRsub = $true )
    & ( singletoninpowunion = $true )
    & ( cartprodpairin = $true )
    & ( binunionT_lem = $true )
    & ( emptyInPowerset = $true )
    & ( subsetE2 = $true )
    & ( emptyinPowerset = $true )
    & ( ubforcartprodlem1 = $true )
    & ( setukpairIR = $true )
    & ( powersetTI1 = $true )
    & ( ex1I2 = $true )
    & ( prop2setE = $true )
    & ( notdallE = $true )
    & ( kpairsurjEq = $true )
    & ( exuE1 = $true )
    & ( contrasubsetT1 = $true )
    & ( binintersectEL = $true )
    & ( quantDeMorgan4 = $true )
    & ( upairsetIL = $true )
    & ( uniqinunit = $true )
    & ( subsetI2 = $true )
    & ( subsetTI = $true )
    & ( singletonsuniq = $true )
    & ? [X0: $i,X1: $i] :
        ( ( ( setminus @ X1 @ ( setminus @ X1 @ X0 ) )
         != X0 )
        & ( ( in @ X0 @ ( powerset @ X1 ) )
          = $true ) )
    & ( setminusSubset2 = $true )
    & ( nonemptyImpWitness = $true )
    & ( setadjoinIR = $true )
    & ( subset2powerset = $true )
    & ( theprop = $true )
    & ( funcinfuncset = $true )
    & ( setminusILneg = $true )
    & ( lamProp = $true )
    & ( binintersectI = $true )
    & ( bs114d = $true )
    & ( dpsetconstrI = $true )
    & ( descr__Cong = $true )
    & ( in__Cong = $true )
    & ( upairsetE = $true )
    & ( binintersectER = $true )
    & ( quantDeMorgan1 = $true )
    & ( cartprodpairmemER = $true )
    & ( subbreln = $true )
    & ( upairset2E = $true )
    & ( setukpairinjR12 = $true )
    & ( iffalseProp2 = $true )
    & ( ex1I = $true )
    & ( binunionLsub = $true )
    & ( setminusSubset1 = $true )
    & ( cartprodsndin = $true )
    & ( setadjoinIL = $true )
    & ( ifSingleton = $true )
    & ( iftrueProp1 = $true )
    & ( cartprodfstin = $true )
    & ( binintersectSubset2 = $true )
    & ( powersetsubset = $true )
    & ( sepSubset = $true )
    & ( powersetI = $true )
    & ( dpsetconstrEL1 = $true )
    & ( setadjoin__Cong = $true )
    & ( symdiffE = $true )
    & ( setunionI = $true )
    & ( setadjoinSub = $true )
    & ( emptyset__Cong = $true )
    & ( contrasubsetT = $true )
    & ( eta2 = $true )
    & ( dsetconstrER = $true )
    & ( cartprodmempaircEq = $true )
    & ( cartprodmempair = $true )
    & ( ex1E2 = $true )
    & ( app = $true )
    & ( setukpairinjL2 = $true )
    & ( setunion__Cong = $true )
    & ( emptysetimpfalse = $true )
    & ( powersetI1 = $true )
    & ( dpsetconstrSub = $true )
    & ( subsetI1 = $true )
    & ( sepInPowerset = $true )
    & ( subPowSU = $true )
    & ( dpsetconstrEL2 = $true )
    & ( exuE2 = $true )
    & ( notdexE = $true )
    & ( beta1 = $true )
    & ( setadjoinOr = $true )
    & ( iftrueorfalse = $true )
    & ( emptysetsubset = $true )
    & ( kpairiskpair = $true )
    & ( ubforcartprodlem2 = $true )
    & ( setextAx = $true )
    & ( eqinunit = $true )
    & ( foundationAx = $true )
    & ( ksndpairEq = $true )
    & ( singletonsswitch = $true )
    & ( binunionE = $true )
    & ( theeq = $true )
    & ( setunionAx = $true )
    & ( subsetemptysetimpeq = $true )
    & ( setOfPairsIsBReln = $true )
    & ( setukpairinjR11 = $true )
    & ( cartprodmempair1 = $true )
    & ( setukpairinjL1 = $true )
    & ( funcGraphProp1 = $true )
    & ( prop2set2propI = $true )
    & ( symdiffI2 = $true )
    & ( funcextLem = $true )
    & ( powersetTE1 = $true )
    & ( lamp = $true )
    & ( noeltsimpempty = $true )
    & ( replAx = $true )
    & ( omega__Cong = $true )
    & ( funcext2 = $true )
    & ( exu__Cong = $true )
    & ( setadjoinSub2 = $true )
    & ( symdiffIneg2 = $true )
    & ( exuEu = $true )
    & ( setunionsingleton2 = $true )
    & ( setunionE2 = $true )
    & ( notsubsetI = $true )
    & ( subsetRefl = $true )
    & ( beta2 = $true )
    & ( setminusLsub = $true )
    & ( kpairp = $true )
    & ( funcGraphProp4 = $true )
    & ( binunionIL = $true )
    & ( cartprodsndpairEq = $true )
    & ( inPowerset = $true )
    & ( omegaIndAx = $true )
    & ( powersetE1 = $true )
    & ( eta1 = $true )
    & ( dsetconstrI = $true )
    & ( binintersectSubset5 = $true )
    & ( setukpairIL = $true )
    & ( infuncsetfunc = $true )
    & ( binintersectTELcontra = $true )
    & ( nonemptyI = $true )
    & ( emptysetAx = $true )
    & ( brelnall2 = $true )
    & ( kfstpairEq = $true )
    & ( binintersectSubset3 = $true )
    & ( dsetconstrEL = $true )
    & ( iftrueProp2 = $true )
    & ( singletonsubset = $true )
    & ( funcGraphProp3 = $true )
    & ( brelnall1 = $true )
    & ( doubleComplementI1 = $true )
    & ( upairinpowunion = $true )
    & ( setminusI = $true )
    & ( setukpairinjR = $true )
    & ( doubleComplementE1 = $true )
    & ( setminusER = $true )
    & ( notinsingleton = $true )
    & ( ap2apEq1 = $true )
    & ( setminusT_lem = $true )
    & ( dpsetconstrER = $true )
    & ( complementT_lem = $true )
    & ( binintersectSubset4 = $true )
    & ( kfstsingleton = $true )
    & ( singletoninpowerset = $true )
    & ( emptyE1 = $true )
    & ( exuI2 = $true )
    & ( setextsub = $true )
    & ( vacuousDall = $true )
    & ( inCongP = $true )
    & ( lam2lamEq = $true )
    & ( upairset2IR = $true )
    & ( funcImageSingleton = $true )
    & ( powersetAx = $true )
    & ( nonemptyE1 = $true )
    & ( funcGraphProp2 = $true ) ),
    inference(flattening,[],[f971]) ).

thf(f976,plain,
    ( ! [X1: $i,X0: $i] :
        ( ( ( in @ X1 @ ( powerset @ X0 ) )
         != $true )
        | ( ( subset @ X1 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) )
          = $true ) )
  <=> ( doubleComplementSub1 = $true ) ),
    inference(ennf_transformation,[],[f558]) ).

thf(f1074,plain,
    ( ! [X1: $i,X0: $i] :
        ( ( X0 = X1 )
        | ( ( subset @ X1 @ X0 )
         != $true )
        | ( ( subset @ X0 @ X1 )
         != $true ) )
  <=> ( setextsub = $true ) ),
    inference(ennf_transformation,[],[f487]) ).

thf(f1075,plain,
    ( ( setextsub = $true )
  <=> ! [X1: $i,X0: $i] :
        ( ( ( subset @ X0 @ X1 )
         != $true )
        | ( X0 = X1 )
        | ( ( subset @ X1 @ X0 )
         != $true ) ) ),
    inference(flattening,[],[f1074]) ).

thf(f1080,plain,
    ( ( ! [X1: $i,X0: $i] :
          ( ( ( in @ X1 @ ( powerset @ X0 ) )
           != $true )
          | ( ( subset @ X1 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) )
            = $true ) )
      | ( doubleComplementSub1 != $true ) )
    & ( ( doubleComplementSub1 = $true )
      | ? [X1: $i,X0: $i] :
          ( ( ( in @ X1 @ ( powerset @ X0 ) )
            = $true )
          & ( ( subset @ X1 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) )
           != $true ) ) ) ),
    inference(nnf_transformation,[],[f976]) ).

thf(f1081,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ( ( in @ X0 @ ( powerset @ X1 ) )
           != $true )
          | ( ( subset @ X0 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) )
            = $true ) )
      | ( doubleComplementSub1 != $true ) )
    & ( ( doubleComplementSub1 = $true )
      | ? [X2: $i,X3: $i] :
          ( ( $true
            = ( in @ X2 @ ( powerset @ X3 ) ) )
          & ( ( subset @ X2 @ ( setminus @ X3 @ ( setminus @ X3 @ X2 ) ) )
           != $true ) ) ) ),
    inference(rectify,[],[f1080]) ).

thf(f1082,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ( ( in @ X0 @ ( powerset @ X1 ) )
           != $true )
          | ( ( subset @ X0 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) )
            = $true ) )
      | ( doubleComplementSub1 != $true ) )
    & ( ( doubleComplementSub1 = $true )
      | ( ( $true
          = ( in @ sK2 @ ( powerset @ sK3 ) ) )
        & ( ( subset @ sK2 @ ( setminus @ sK3 @ ( setminus @ sK3 @ sK2 ) ) )
         != $true ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2),skolemize(X3,sK3)],[f1081]) ).

thf(f1373,plain,
    ( ( upairsetIR = $true )
    & ( setminusIRneg = $true )
    & ( exuI1 = $true )
    & ( iffalseProp1 = $true )
    & ( notequalI2 = $true )
    & ( binintersectSubset1 = $true )
    & ( subsetTrans = $true )
    & ( upairequniteq = $true )
    & ( binintersectTERcontra = $true )
    & ( omega0Ax = $true )
    & ( binintersectT_lem = $true )
    & ( eqimpsubset2 = $true )
    & ( binunionRsub = $true )
    & ( setukpairinjR1 = $true )
    & ( emptyI = $true )
    & ( wellorderingAx = $true )
    & ( cartprodpairmemEL = $true )
    & ( setunionsingleton = $true )
    & ( secondinupair = $true )
    & ( cartprodfstpairEq = $true )
    & ( complementTE1 = $true )
    & ( powersetE = $true )
    & ( doubleComplementSub1 = $true )
    & ( setoftrueEq = $true )
    & ( setadjoinAx = $true )
    & ( singletonprop = $true )
    & ( notinemptyset = $true )
    & ( ap2apEq2 = $true )
    & ( cartprodpairsurjEq = $true )
    & ( setukpairinjR2 = $true )
    & ( contrasubsetT2 = $true )
    & ( setext = $true )
    & ( ubforcartprodlem3 = $true )
    & ( emptyinunitempty = $true )
    & ( exuI3 = $true )
    & ( setminusEL = $true )
    & ( disjointsetsI1 = $true )
    & ( dsetconstr__Cong = $true )
    & ( exuE3u = $true )
    & ( eqimpsubset1 = $true )
    & ( subsetE = $true )
    & ( ex1E1 = $true )
    & ( setukpairinjL = $true )
    & ( notequalI1 = $true )
    & ( dpsetconstrERa = $true )
    & ( quantDeMorgan2 = $true )
    & ( omegaSAx = $true )
    & ( setunionsingleton1 = $true )
    & ( ksndsingleton = $true )
    & ( ifp = $true )
    & ( prop2setI = $true )
    & ( setextT = $true )
    & ( setunionE = $true )
    & ( powerset__Cong = $true )
    & ( symdiffI1 = $true )
    & ( eqbreln = $true )
    & ( contrasubsetT3 = $true )
    & ( ap2p = $true )
    & ( setadjoinE = $true )
    & ( setminusERneg = $true )
    & ( symdiffIneg1 = $true )
    & ( apProp = $true )
    & ( lam2p = $true )
    & ( emptysetE = $true )
    & ( setminusELneg = $true )
    & ( powersetT_lem = $true )
    & ( binintersectLsub = $true )
    & ( iftrue = $true )
    & ( setbeta = $true )
    & ( binunionEcases = $true )
    & ( nonemptyI1 = $true )
    & ( funcext = $true )
    & ( quantDeMorgan3 = $true )
    & ( doubleComplementSub2 = $true )
    & ( exuE3e = $true )
    & ( complementTI1 = $true )
    & ( upairsubunion = $true )
    & ( descrp = $true )
    & ( binunionIR = $true )
    & ( iffalse = $true )
    & ( binintersectRsub = $true )
    & ( singletoninpowunion = $true )
    & ( cartprodpairin = $true )
    & ( binunionT_lem = $true )
    & ( emptyInPowerset = $true )
    & ( subsetE2 = $true )
    & ( emptyinPowerset = $true )
    & ( ubforcartprodlem1 = $true )
    & ( setukpairIR = $true )
    & ( powersetTI1 = $true )
    & ( ex1I2 = $true )
    & ( prop2setE = $true )
    & ( notdallE = $true )
    & ( kpairsurjEq = $true )
    & ( exuE1 = $true )
    & ( contrasubsetT1 = $true )
    & ( binintersectEL = $true )
    & ( quantDeMorgan4 = $true )
    & ( upairsetIL = $true )
    & ( uniqinunit = $true )
    & ( subsetI2 = $true )
    & ( subsetTI = $true )
    & ( singletonsuniq = $true )
    & ( ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) )
     != sK311 )
    & ( ( in @ sK311 @ ( powerset @ sK312 ) )
      = $true )
    & ( setminusSubset2 = $true )
    & ( nonemptyImpWitness = $true )
    & ( setadjoinIR = $true )
    & ( subset2powerset = $true )
    & ( theprop = $true )
    & ( funcinfuncset = $true )
    & ( setminusILneg = $true )
    & ( lamProp = $true )
    & ( binintersectI = $true )
    & ( bs114d = $true )
    & ( dpsetconstrI = $true )
    & ( descr__Cong = $true )
    & ( in__Cong = $true )
    & ( upairsetE = $true )
    & ( binintersectER = $true )
    & ( quantDeMorgan1 = $true )
    & ( cartprodpairmemER = $true )
    & ( subbreln = $true )
    & ( upairset2E = $true )
    & ( setukpairinjR12 = $true )
    & ( iffalseProp2 = $true )
    & ( ex1I = $true )
    & ( binunionLsub = $true )
    & ( setminusSubset1 = $true )
    & ( cartprodsndin = $true )
    & ( setadjoinIL = $true )
    & ( ifSingleton = $true )
    & ( iftrueProp1 = $true )
    & ( cartprodfstin = $true )
    & ( binintersectSubset2 = $true )
    & ( powersetsubset = $true )
    & ( sepSubset = $true )
    & ( powersetI = $true )
    & ( dpsetconstrEL1 = $true )
    & ( setadjoin__Cong = $true )
    & ( symdiffE = $true )
    & ( setunionI = $true )
    & ( setadjoinSub = $true )
    & ( emptyset__Cong = $true )
    & ( contrasubsetT = $true )
    & ( eta2 = $true )
    & ( dsetconstrER = $true )
    & ( cartprodmempaircEq = $true )
    & ( cartprodmempair = $true )
    & ( ex1E2 = $true )
    & ( app = $true )
    & ( setukpairinjL2 = $true )
    & ( setunion__Cong = $true )
    & ( emptysetimpfalse = $true )
    & ( powersetI1 = $true )
    & ( dpsetconstrSub = $true )
    & ( subsetI1 = $true )
    & ( sepInPowerset = $true )
    & ( subPowSU = $true )
    & ( dpsetconstrEL2 = $true )
    & ( exuE2 = $true )
    & ( notdexE = $true )
    & ( beta1 = $true )
    & ( setadjoinOr = $true )
    & ( iftrueorfalse = $true )
    & ( emptysetsubset = $true )
    & ( kpairiskpair = $true )
    & ( ubforcartprodlem2 = $true )
    & ( setextAx = $true )
    & ( eqinunit = $true )
    & ( foundationAx = $true )
    & ( ksndpairEq = $true )
    & ( singletonsswitch = $true )
    & ( binunionE = $true )
    & ( theeq = $true )
    & ( setunionAx = $true )
    & ( subsetemptysetimpeq = $true )
    & ( setOfPairsIsBReln = $true )
    & ( setukpairinjR11 = $true )
    & ( cartprodmempair1 = $true )
    & ( setukpairinjL1 = $true )
    & ( funcGraphProp1 = $true )
    & ( prop2set2propI = $true )
    & ( symdiffI2 = $true )
    & ( funcextLem = $true )
    & ( powersetTE1 = $true )
    & ( lamp = $true )
    & ( noeltsimpempty = $true )
    & ( replAx = $true )
    & ( omega__Cong = $true )
    & ( funcext2 = $true )
    & ( exu__Cong = $true )
    & ( setadjoinSub2 = $true )
    & ( symdiffIneg2 = $true )
    & ( exuEu = $true )
    & ( setunionsingleton2 = $true )
    & ( setunionE2 = $true )
    & ( notsubsetI = $true )
    & ( subsetRefl = $true )
    & ( beta2 = $true )
    & ( setminusLsub = $true )
    & ( kpairp = $true )
    & ( funcGraphProp4 = $true )
    & ( binunionIL = $true )
    & ( cartprodsndpairEq = $true )
    & ( inPowerset = $true )
    & ( omegaIndAx = $true )
    & ( powersetE1 = $true )
    & ( eta1 = $true )
    & ( dsetconstrI = $true )
    & ( binintersectSubset5 = $true )
    & ( setukpairIL = $true )
    & ( infuncsetfunc = $true )
    & ( binintersectTELcontra = $true )
    & ( nonemptyI = $true )
    & ( emptysetAx = $true )
    & ( brelnall2 = $true )
    & ( kfstpairEq = $true )
    & ( binintersectSubset3 = $true )
    & ( dsetconstrEL = $true )
    & ( iftrueProp2 = $true )
    & ( singletonsubset = $true )
    & ( funcGraphProp3 = $true )
    & ( brelnall1 = $true )
    & ( doubleComplementI1 = $true )
    & ( upairinpowunion = $true )
    & ( setminusI = $true )
    & ( setukpairinjR = $true )
    & ( doubleComplementE1 = $true )
    & ( setminusER = $true )
    & ( notinsingleton = $true )
    & ( ap2apEq1 = $true )
    & ( setminusT_lem = $true )
    & ( dpsetconstrER = $true )
    & ( complementT_lem = $true )
    & ( binintersectSubset4 = $true )
    & ( kfstsingleton = $true )
    & ( singletoninpowerset = $true )
    & ( emptyE1 = $true )
    & ( exuI2 = $true )
    & ( setextsub = $true )
    & ( vacuousDall = $true )
    & ( inCongP = $true )
    & ( lam2lamEq = $true )
    & ( upairset2IR = $true )
    & ( funcImageSingleton = $true )
    & ( powersetAx = $true )
    & ( nonemptyE1 = $true )
    & ( funcGraphProp2 = $true ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK311,sK312]),skolemize(X0,sK311),skolemize(X1,sK312)],[f972]) ).

thf(f1444,plain,
    ( ( ( setextsub = $true )
      | ? [X1: $i,X0: $i] :
          ( ( ( subset @ X0 @ X1 )
            = $true )
          & ( X0 != X1 )
          & ( ( subset @ X1 @ X0 )
            = $true ) ) )
    & ( ! [X1: $i,X0: $i] :
          ( ( ( subset @ X0 @ X1 )
           != $true )
          | ( X0 = X1 )
          | ( ( subset @ X1 @ X0 )
           != $true ) )
      | ( setextsub != $true ) ) ),
    inference(nnf_transformation,[],[f1075]) ).

thf(f1445,plain,
    ( ( ( setextsub = $true )
      | ? [X0: $i,X1: $i] :
          ( ( ( subset @ X1 @ X0 )
            = $true )
          & ( X0 != X1 )
          & ( ( subset @ X0 @ X1 )
            = $true ) ) )
    & ( ! [X2: $i,X3: $i] :
          ( ( ( subset @ X3 @ X2 )
           != $true )
          | ( X2 = X3 )
          | ( ( subset @ X2 @ X3 )
           != $true ) )
      | ( setextsub != $true ) ) ),
    inference(rectify,[],[f1444]) ).

thf(f1446,plain,
    ( ( ( setextsub = $true )
      | ( ( ( subset @ sK396 @ sK395 )
          = $true )
        & ( sK395 != sK396 )
        & ( ( subset @ sK395 @ sK396 )
          = $true ) ) )
    & ( ! [X2: $i,X3: $i] :
          ( ( ( subset @ X3 @ X2 )
           != $true )
          | ( X2 = X3 )
          | ( ( subset @ X2 @ X3 )
           != $true ) )
      | ( setextsub != $true ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK395,sK396]),skolemize(X0,sK395),skolemize(X1,sK396)],[f1445]) ).

thf(f1628,plain,
    ( ( ! [X1: $i,X0: $i] :
          ( ( ( subset @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X1 )
            = $true )
          | ( ( in @ X1 @ ( powerset @ X0 ) )
           != $true ) )
      | ( doubleComplementSub2 != $true ) )
    & ( ( doubleComplementSub2 = $true )
      | ? [X1: $i,X0: $i] :
          ( ( ( subset @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X1 )
           != $true )
          & ( ( in @ X1 @ ( powerset @ X0 ) )
            = $true ) ) ) ),
    inference(nnf_transformation,[],[f956]) ).

thf(f1629,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ( ( subset @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) @ X0 )
            = $true )
          | ( ( in @ X0 @ ( powerset @ X1 ) )
           != $true ) )
      | ( doubleComplementSub2 != $true ) )
    & ( ( doubleComplementSub2 = $true )
      | ? [X2: $i,X3: $i] :
          ( ( ( subset @ ( setminus @ X3 @ ( setminus @ X3 @ X2 ) ) @ X2 )
           != $true )
          & ( $true
            = ( in @ X2 @ ( powerset @ X3 ) ) ) ) ) ),
    inference(rectify,[],[f1628]) ).

thf(f1630,plain,
    ( ( ! [X0: $i,X1: $i] :
          ( ( ( subset @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) @ X0 )
            = $true )
          | ( ( in @ X0 @ ( powerset @ X1 ) )
           != $true ) )
      | ( doubleComplementSub2 != $true ) )
    & ( ( doubleComplementSub2 = $true )
      | ( ( ( subset @ ( setminus @ sK578 @ ( setminus @ sK578 @ sK577 ) ) @ sK577 )
         != $true )
        & ( ( in @ sK577 @ ( powerset @ sK578 ) )
          = $true ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK577,sK578]),skolemize(X2,sK577),skolemize(X3,sK578)],[f1629]) ).

thf(f1823,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( subset @ X0 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) )
        = $true )
      | ( ( in @ X0 @ ( powerset @ X1 ) )
       != $true )
      | ( doubleComplementSub1 != $true ) ),
    inference(cnf_transformation,[],[f1082]) ).

thf(f2233,plain,
    setextsub = $true,
    inference(cnf_transformation,[],[f1373]) ).

thf(f2369,plain,
    ( ( in @ sK311 @ ( powerset @ sK312 ) )
    = $true ),
    inference(cnf_transformation,[],[f1373]) ).

thf(f2370,plain,
    ( ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) )
   != sK311 ),
    inference(cnf_transformation,[],[f1373]) ).

thf(f2400,plain,
    doubleComplementSub2 = $true,
    inference(cnf_transformation,[],[f1373]) ).

thf(f2451,plain,
    doubleComplementSub1 = $true,
    inference(cnf_transformation,[],[f1373]) ).

thf(f2598,plain,
    ! [X2: $i,X3: $i] :
      ( ( setextsub != $true )
      | ( X2 = X3 )
      | ( ( subset @ X3 @ X2 )
       != $true )
      | ( ( subset @ X2 @ X3 )
       != $true ) ),
    inference(cnf_transformation,[],[f1446]) ).

thf(f2840,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( subset @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) @ X0 )
        = $true )
      | ( ( in @ X0 @ ( powerset @ X1 ) )
       != $true )
      | ( doubleComplementSub2 != $true ) ),
    inference(cnf_transformation,[],[f1630]) ).

thf(f3496,definition,
    ( spl771_51
  <=> ( ( in @ sK311 @ ( powerset @ sK312 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl771_51])],[avatar_definition]) ).

thf(f3498,plain,
    ( ( ( in @ sK311 @ ( powerset @ sK312 ) )
      = $true )
    | ~ spl771_51 ),
    inference(avatar_component_clause,[],[f3496]) ).

thf(f3499,plain,
    spl771_51,
    inference(avatar_split_clause,[],[f2369,f3496]) ).

thf(f3777,definition,
    ( spl771_114
  <=> ( ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) )
      = sK311 ) ),
    introduced(definition,[new_symbols(definition,[spl771_114])],[avatar_definition]) ).

thf(f3779,plain,
    ( ( ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) )
     != sK311 )
    | spl771_114 ),
    inference(avatar_component_clause,[],[f3777]) ).

thf(f3780,plain,
    ~ spl771_114,
    inference(avatar_split_clause,[],[f2370,f3777]) ).

thf(f4162,definition,
    ( spl771_200
  <=> ( doubleComplementSub1 = $true ) ),
    introduced(definition,[new_symbols(definition,[spl771_200])],[avatar_definition]) ).

thf(f4613,definition,
    ( spl771_299
  <=> ( setextsub = $true ) ),
    introduced(definition,[new_symbols(definition,[spl771_299])],[avatar_definition]) ).

thf(f4784,plain,
    spl771_299,
    inference(avatar_split_clause,[],[f2233,f4613]) ).

thf(f7283,definition,
    ( spl771_870
  <=> ( doubleComplementSub2 = $true ) ),
    introduced(definition,[new_symbols(definition,[spl771_870])],[avatar_definition]) ).

thf(f7595,definition,
    ( spl771_934
  <=> ! [X0: $i,X1: $i] :
        ( ( ( subset @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) @ X0 )
          = $true )
        | ( ( in @ X0 @ ( powerset @ X1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl771_934])],[avatar_definition]) ).

thf(f7596,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( in @ X0 @ ( powerset @ X1 ) )
         != $true )
        | ( ( subset @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) @ X0 )
          = $true ) )
    | ~ spl771_934 ),
    inference(avatar_component_clause,[],[f7595]) ).

thf(f7597,plain,
    ( ~ spl771_870
    | spl771_934 ),
    inference(avatar_split_clause,[],[f2840,f7595,f7283]) ).

thf(f7744,plain,
    spl771_870,
    inference(avatar_split_clause,[],[f2400,f7283]) ).

thf(f7972,plain,
    spl771_200,
    inference(avatar_split_clause,[],[f2451,f4162]) ).

thf(f8083,definition,
    ( spl771_1031
  <=> ! [X2: $i,X3: $i] :
        ( ( X2 = X3 )
        | ( ( subset @ X2 @ X3 )
         != $true )
        | ( ( subset @ X3 @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl771_1031])],[avatar_definition]) ).

thf(f8084,plain,
    ( ! [X2: $i,X3: $i] :
        ( ( ( subset @ X3 @ X2 )
         != $true )
        | ( ( subset @ X2 @ X3 )
         != $true )
        | ( X2 = X3 ) )
    | ~ spl771_1031 ),
    inference(avatar_component_clause,[],[f8083]) ).

thf(f8085,plain,
    ( ~ spl771_299
    | spl771_1031 ),
    inference(avatar_split_clause,[],[f2598,f8083,f4613]) ).

thf(f8916,definition,
    ( spl771_1199
  <=> ! [X0: $i,X1: $i] :
        ( ( ( subset @ X0 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) )
          = $true )
        | ( ( in @ X0 @ ( powerset @ X1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl771_1199])],[avatar_definition]) ).

thf(f8917,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( in @ X0 @ ( powerset @ X1 ) )
         != $true )
        | ( ( subset @ X0 @ ( setminus @ X1 @ ( setminus @ X1 @ X0 ) ) )
          = $true ) )
    | ~ spl771_1199 ),
    inference(avatar_component_clause,[],[f8916]) ).

thf(f8918,plain,
    ( spl771_1199
    | ~ spl771_200 ),
    inference(avatar_split_clause,[],[f1823,f4162,f8916]) ).

thf(f11050,plain,
    ( ( ( subset @ ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) ) @ sK311 )
      = $true )
    | ( $true != $true )
    | ~ spl771_51
    | ~ spl771_934 ),
    inference(superposition,[],[f7596,f3498]) ).

thf(f11080,plain,
    ( ( ( subset @ ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) ) @ sK311 )
      = $true )
    | ~ spl771_51
    | ~ spl771_934 ),
    inference(trivial_inequality_removal,[],[f11050]) ).

thf(f11085,plain,
    ( ( $true != $true )
    | ( ( subset @ sK311 @ ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) ) )
      = $true )
    | ~ spl771_51
    | ~ spl771_1199 ),
    inference(superposition,[],[f8917,f3498]) ).

thf(f11110,plain,
    ( ( ( subset @ sK311 @ ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) ) )
      = $true )
    | ~ spl771_51
    | ~ spl771_1199 ),
    inference(trivial_inequality_removal,[],[f11085]) ).

thf(f12899,definition,
    ( spl771_1332
  <=> ( ( subset @ ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) ) @ sK311 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl771_1332])],[avatar_definition]) ).

thf(f12901,plain,
    ( ( ( subset @ ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) ) @ sK311 )
      = $true )
    | ~ spl771_1332 ),
    inference(avatar_component_clause,[],[f12899]) ).

thf(f12902,plain,
    ( spl771_1332
    | ~ spl771_51
    | ~ spl771_934 ),
    inference(avatar_split_clause,[],[f11080,f7595,f3496,f12899]) ).

thf(f12919,definition,
    ( spl771_1336
  <=> ( ( subset @ sK311 @ ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl771_1336])],[avatar_definition]) ).

thf(f12922,plain,
    ( spl771_1336
    | ~ spl771_51
    | ~ spl771_1199 ),
    inference(avatar_split_clause,[],[f11110,f8916,f3496,f12919]) ).

thf(f15301,plain,
    ( ( $true != $true )
    | ( ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) )
      = sK311 )
    | ( ( subset @ sK311 @ ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) ) )
     != $true )
    | ~ spl771_1031
    | ~ spl771_1332 ),
    inference(superposition,[],[f8084,f12901]) ).

thf(f15314,plain,
    ( ( ( subset @ sK311 @ ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) ) )
     != $true )
    | ( ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) )
      = sK311 )
    | ~ spl771_1031
    | ~ spl771_1332 ),
    inference(trivial_inequality_removal,[],[f15301]) ).

thf(f15348,plain,
    ( ( ( subset @ sK311 @ ( setminus @ sK312 @ ( setminus @ sK312 @ sK311 ) ) )
     != $true )
    | spl771_114
    | ~ spl771_1031
    | ~ spl771_1332 ),
    inference(forward_subsumption_resolution,[],[f15314,f3779]) ).

thf(f15364,plain,
    ( ~ spl771_1336
    | spl771_114
    | ~ spl771_1031
    | ~ spl771_1332 ),
    inference(avatar_split_clause,[],[f15348,f12899,f8083,f3777,f12919]) ).

cnf(s28,plain,
    spl771_51,
    inference(sat_conversion,[],[f3499]) ).

cnf(s69,plain,
    ~ spl771_114,
    inference(sat_conversion,[],[f3780]) ).

cnf(s233,plain,
    spl771_299,
    inference(sat_conversion,[],[f4784]) ).

cnf(s862,plain,
    ( ~ spl771_870
    | spl771_934 ),
    inference(sat_conversion,[],[f7597]) ).

cnf(s903,plain,
    spl771_870,
    inference(sat_conversion,[],[f7744]) ).

cnf(s964,plain,
    spl771_200,
    inference(sat_conversion,[],[f7972]) ).

cnf(s995,plain,
    ( ~ spl771_299
    | spl771_1031 ),
    inference(sat_conversion,[],[f8085]) ).

cnf(s1230,plain,
    ( ~ spl771_200
    | spl771_1199 ),
    inference(sat_conversion,[],[f8918]) ).

cnf(s1375,plain,
    ( ~ spl771_51
    | ~ spl771_934
    | spl771_1332 ),
    inference(sat_conversion,[],[f12902]) ).

cnf(s1379,plain,
    ( ~ spl771_51
    | ~ spl771_1199
    | spl771_1336 ),
    inference(sat_conversion,[],[f12922]) ).

cnf(s1488,plain,
    ( spl771_114
    | ~ spl771_1031
    | ~ spl771_1332
    | ~ spl771_1336 ),
    inference(sat_conversion,[],[f15364]) ).

cnf(s1509,plain,
    spl771_1199,
    inference(rat,[],[s1230,s964]) ).

cnf(s1522,plain,
    spl771_934,
    inference(rat,[],[s862,s903]) ).

cnf(s1706,plain,
    spl771_1031,
    inference(rat,[],[s995,s233]) ).

cnf(s1800,plain,
    spl771_1336,
    inference(rat,[],[s1379,s1509,s28]) ).

cnf(s1802,plain,
    spl771_1332,
    inference(rat,[],[s1375,s1522,s28]) ).

cnf(s1818,plain,
    $false,
    inference(rat,[],[s1488,s69,s1706,s1800,s1802]) ).

thf(f15365,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1818]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU731^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n018.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Tue Sep 29 14:20:11 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running higher-order theorem proving
% 0.21/0.31  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
% 0.86/0.48  % (147254)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.86/0.48  % (147259)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1771508563:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.86/0.48  % (147260)lrs+10_16_si=on:nwc=1.5:random_seed=1855477486:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.86/0.48  % (147261)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1279971251:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.86/0.48  % (147261)Instruction limit reached! 
% 0.86/0.48  % (147261)------------------------------
% 0.86/0.48  % (147261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.48  % (147261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.48  % (147261)CaDiCaL version: 2.1.3
% 0.86/0.48  % (147261)Termination reason: Instruction limit
% 0.86/0.48  % (147261)Termination phase: shuffling
% 0.86/0.48  % (147261)Time elapsed: 0.002 s
% 0.86/0.48  % (147261)Peak memory usage: 10 MB
% 0.86/0.48  % (147261)Instructions burned: 5 (million)
% 0.86/0.48  % (147260)Instruction limit reached! 
% 0.86/0.48  % (147260)------------------------------
% 0.86/0.48  % (147260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.48  % (147260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.48  % (147260)CaDiCaL version: 2.1.3
% 0.86/0.48  % (147260)Termination reason: Instruction limit
% 0.86/0.48  % (147260)Termination phase: shuffling
% 0.86/0.48  % (147260)Time elapsed: 0.008 s
% 0.86/0.48  % (147260)Peak memory usage: 10 MB
% 0.86/0.48  % (147260)Instructions burned: 18 (million)
% 0.86/0.48  % (147262)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=2186003691: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)
% 0.86/0.48  % (147259)Instruction limit reached! 
% 0.86/0.48  % (147259)------------------------------
% 0.86/0.48  % (147259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.48  % (147259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.48  % (147259)CaDiCaL version: 2.1.3
% 0.86/0.48  % (147259)Termination reason: Instruction limit
% 0.86/0.48  % (147259)Termination phase: Preprocessing 3
% 0.86/0.48  % (147259)Time elapsed: 0.022 s
% 0.86/0.48  % (147259)Peak memory usage: 13 MB
% 0.86/0.48  % (147259)Instructions burned: 90 (million)
% 0.86/0.48  % (147269)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=95801361:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.48  % (147272)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.48  % (147265)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.86/0.48  % (147265)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
% 0.86/0.48  % (147269)Instruction limit reached! 
% 0.86/0.48  % (147269)------------------------------
% 0.86/0.48  % (147269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.48  % (147269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.48  % (147269)CaDiCaL version: 2.1.3
% 0.86/0.48  % (147269)Termination reason: Instruction limit
% 0.86/0.48  % (147269)Termination phase: shuffling
% 0.86/0.48  % (147269)Time elapsed: 0.002 s
% 0.86/0.48  % (147269)Peak memory usage: 10 MB
% 0.86/0.48  % (147269)Instructions burned: 4 (million)
% 0.86/0.48  % (147272)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3162559670:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.86/0.48  % (147270)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2256371531:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.86/0.48  % (147272)Instruction limit reached! 
% 0.86/0.48  % (147272)------------------------------
% 0.86/0.48  % (147272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.48  % (147272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.52  % (147272)CaDiCaL version: 2.1.3
% 0.86/0.52  % (147272)Termination reason: Instruction limit
% 0.86/0.52  % (147272)Termination phase: shuffling
% 0.86/0.52  % (147272)Time elapsed: 0.004 s
% 0.86/0.52  % (147272)Peak memory usage: 10 MB
% 0.86/0.52  % (147272)Instructions burned: 15 (million)
% 0.86/0.52  % (147270)Instruction limit reached! 
% 0.86/0.52  % (147270)------------------------------
% 0.86/0.52  % (147270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.52  % (147270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.52  % (147270)CaDiCaL version: 2.1.3
% 0.86/0.52  % (147270)Termination reason: Instruction limit
% 0.86/0.52  % (147270)Termination phase: shuffling
% 0.86/0.52  % (147270)Time elapsed: 0.003 s
% 0.86/0.52  % (147270)Peak memory usage: 10 MB
% 0.86/0.52  % (147270)Instructions burned: 6 (million)
% 0.86/0.52  % (147265)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=2459846972:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.86/0.52  % (147264)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4193070030:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.86/0.52  % (147263)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2235569828:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.86/0.52  % (147277)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
% 0.86/0.52  % (147277)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.52  % (147277)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3148515519:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.86/0.52  % (147275)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3443012497:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.86/0.52  % (147277)Instruction limit reached! 
% 0.86/0.52  % (147277)------------------------------
% 0.86/0.52  % (147277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.52  % (147277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.52  % (147277)CaDiCaL version: 2.1.3
% 0.86/0.52  % (147277)Termination reason: Instruction limit
% 0.86/0.52  % (147277)Termination phase: shuffling
% 0.86/0.52  % (147277)Time elapsed: 0.007 s
% 0.86/0.52  % (147277)Peak memory usage: 10 MB
% 0.86/0.52  % (147277)Instructions burned: 31 (million)
% 0.86/0.52  % (147278)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=625131396:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.86/0.52  % (147275)Instruction limit reached! 
% 0.86/0.52  % (147275)------------------------------
% 0.86/0.52  % (147275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.52  % (147275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.52  % (147275)CaDiCaL version: 2.1.3
% 0.86/0.52  % (147275)Termination reason: Instruction limit
% 0.86/0.52  % (147275)Termination phase: shuffling
% 0.86/0.52  % (147275)Time elapsed: 0.006 s
% 0.86/0.52  % (147275)Peak memory usage: 10 MB
% 0.86/0.52  % (147275)Instructions burned: 13 (million)
% 0.86/0.52  % (147263)Instruction limit reached! 
% 0.86/0.52  % (147263)------------------------------
% 0.86/0.52  % (147263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.52  % (147263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.52  % (147263)CaDiCaL version: 2.1.3
% 0.86/0.52  % (147263)Termination reason: Instruction limit
% 0.86/0.52  % (147263)Termination phase: Property scanning
% 0.86/0.52  % (147263)Time elapsed: 0.020 s
% 0.86/0.52  % (147263)Peak memory usage: 11 MB
% 0.86/0.52  % (147263)Instructions burned: 24 (million)
% 0.86/0.52  % (147286)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.86/0.52  % (147287)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2607053020:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.86/0.56  % (147284)lrs+10_1_si=on:cs=on:random_seed=3496979747:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.86/0.56  % (147286)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=4206039460:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.86/0.56  % (147286)Instruction limit reached! 
% 0.86/0.56  % (147286)------------------------------
% 0.86/0.56  % (147286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.56  % (147286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.56  % (147286)CaDiCaL version: 2.1.3
% 0.86/0.56  % (147286)Termination reason: Instruction limit
% 0.86/0.56  % (147286)Termination phase: shuffling
% 0.86/0.56  % (147286)Time elapsed: 0.002 s
% 0.86/0.56  % (147286)Peak memory usage: 10 MB
% 0.86/0.56  % (147286)Instructions burned: 3 (million)
% 0.86/0.56  % (147284)Instruction limit reached! 
% 0.86/0.56  % (147284)------------------------------
% 0.86/0.56  % (147284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.56  % (147284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.56  % (147284)CaDiCaL version: 2.1.3
% 0.86/0.56  % (147284)Termination reason: Instruction limit
% 0.86/0.56  % (147284)Termination phase: shuffling
% 0.86/0.56  % (147284)Time elapsed: 0.004 s
% 0.86/0.56  % (147284)Peak memory usage: 10 MB
% 0.86/0.56  % (147284)Instructions burned: 8 (million)
% 0.86/0.56  % (147287)Instruction limit reached! 
% 0.86/0.56  % (147287)------------------------------
% 0.86/0.56  % (147287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.56  % (147287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.56  % (147287)CaDiCaL version: 2.1.3
% 0.86/0.56  % (147287)Termination reason: Instruction limit
% 0.86/0.56  % (147287)Termination phase: SInE selection
% 0.86/0.56  % (147287)Time elapsed: 0.009 s
% 0.86/0.56  % (147287)Peak memory usage: 11 MB
% 0.86/0.56  % (147287)Instructions burned: 39 (million)
% 0.86/0.56  % (147278)Instruction limit reached! 
% 0.86/0.56  % (147278)------------------------------
% 0.86/0.56  % (147278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.56  % (147278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.56  % (147278)CaDiCaL version: 2.1.3
% 0.86/0.56  % (147278)Termination reason: Instruction limit
% 0.86/0.56  % (147278)Termination phase: Property scanning
% 0.86/0.56  % (147278)Time elapsed: 0.042 s
% 0.86/0.56  % (147278)Peak memory usage: 11 MB
% 0.86/0.56  % (147278)Instructions burned: 86 (million)
% 0.86/0.56  % (147292)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2329193947:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.86/0.56  % (147291)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1009764765:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.86/0.56  % (147264)Instruction limit reached! 
% 0.86/0.56  % (147264)------------------------------
% 0.86/0.56  % (147264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.56  % (147264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.56  % (147264)CaDiCaL version: 2.1.3
% 0.86/0.56  % (147264)Termination reason: Instruction limit
% 0.86/0.56  % (147264)Termination phase: Preprocessing 3
% 0.86/0.56  % (147264)Time elapsed: 0.062 s
% 0.86/0.56  % (147264)Peak memory usage: 12 MB
% 0.86/0.56  % (147264)Instructions burned: 75 (million)
% 0.86/0.56  % (147293)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1535052370:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.86/0.56  % (147293)Instruction limit reached! 
% 0.86/0.56  % (147293)------------------------------
% 0.86/0.56  % (147293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.56  % (147293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.56  % (147293)CaDiCaL version: 2.1.3
% 0.86/0.56  % (147293)Termination reason: Instruction limit
% 0.86/0.56  % (147293)Termination phase: shuffling
% 0.86/0.56  % (147293)Time elapsed: 0.008 s
% 0.86/0.56  % (147293)Peak memory usage: 11 MB
% 0.86/0.56  % (147293)Instructions burned: 18 (million)
% 0.86/0.56  % (147292)Instruction limit reached! 
% 0.86/0.56  % (147292)------------------------------
% 1.61/0.65  % (147292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.65  % (147292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.65  % (147292)CaDiCaL version: 2.1.3
% 1.61/0.65  % (147292)Termination reason: Instruction limit
% 1.61/0.65  % (147292)Termination phase: Property scanning
% 1.61/0.65  % (147292)Time elapsed: 0.014 s
% 1.61/0.65  % (147292)Peak memory usage: 11 MB
% 1.61/0.65  % (147292)Instructions burned: 29 (million)
% 1.61/0.65  % (147265)Instruction limit reached! 
% 1.61/0.65  % (147265)------------------------------
% 1.61/0.65  % (147265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.65  % (147265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.65  % (147265)CaDiCaL version: 2.1.3
% 1.61/0.65  % (147265)Termination reason: Instruction limit
% 1.61/0.65  % (147265)Termination phase: Saturation
% 1.61/0.65  % (147265)Time elapsed: 0.079 s
% 1.61/0.65  % (147265)Peak memory usage: 14 MB
% 1.61/0.65  % (147265)Instructions burned: 158 (million)
% 1.61/0.65  % (147294)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=303156969:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.61/0.65  % (147299)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1556085812: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)
% 1.61/0.65  % (147299)Instruction limit reached! 
% 1.61/0.65  % (147299)------------------------------
% 1.61/0.65  % (147299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.65  % (147299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.65  % (147299)CaDiCaL version: 2.1.3
% 1.61/0.65  % (147299)Termination reason: Instruction limit
% 1.61/0.65  % (147299)Termination phase: shuffling
% 1.61/0.65  % (147299)Time elapsed: 0.001 s
% 1.61/0.65  % (147299)Peak memory usage: 10 MB
% 1.61/0.65  % (147299)Instructions burned: 5 (million)
% 1.61/0.65  % (147298)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2570194055:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.61/0.65  % (147302)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3526661818:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.61/0.65  % (147304)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1264690019:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.61/0.65  % (147298)Instruction limit reached! 
% 1.61/0.65  % (147298)------------------------------
% 1.61/0.65  % (147298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.65  % (147298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.65  % (147298)CaDiCaL version: 2.1.3
% 1.61/0.65  % (147298)Termination reason: Instruction limit
% 1.61/0.65  % (147298)Termination phase: shuffling
% 1.61/0.65  % (147298)Time elapsed: 0.011 s
% 1.61/0.65  % (147298)Peak memory usage: 10 MB
% 1.61/0.65  % (147298)Instructions burned: 14 (million)
% 1.61/0.65  % (147302)Instruction limit reached! 
% 1.61/0.65  % (147302)------------------------------
% 1.61/0.65  % (147302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.65  % (147302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.65  % (147302)CaDiCaL version: 2.1.3
% 1.61/0.65  % (147302)Termination reason: Instruction limit
% 1.61/0.65  % (147302)Termination phase: shuffling
% 1.61/0.65  % (147302)Time elapsed: 0.011 s
% 1.61/0.65  % (147302)Peak memory usage: 10 MB
% 1.61/0.65  % (147302)Instructions burned: 23 (million)
% 1.61/0.65  % (147300)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=423243172:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.61/0.65  % (147304)Instruction limit reached! 
% 1.61/0.65  % (147304)------------------------------
% 1.61/0.65  % (147304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.65  % (147304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.65  % (147304)CaDiCaL version: 2.1.3
% 1.61/0.65  % (147304)Termination reason: Instruction limit
% 1.61/0.65  % (147304)Termination phase: Preprocessing 3
% 1.61/0.65  % (147304)Time elapsed: 0.015 s
% 1.61/0.65  % (147304)Peak memory usage: 12 MB
% 1.61/0.65  % (147304)Instructions burned: 61 (million)
% 1.61/0.65  % (147308)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
% 2.08/0.70  % (147308)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.08/0.70  % (147311)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=322574410:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.08/0.70  % (147308)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=873238618:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.08/0.70  % (147300)Instruction limit reached! 
% 2.08/0.70  % (147300)------------------------------
% 2.08/0.70  % (147300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.70  % (147300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.70  % (147300)CaDiCaL version: 2.1.3
% 2.08/0.70  % (147300)Termination reason: Instruction limit
% 2.08/0.70  % (147300)Termination phase: shuffling
% 2.08/0.70  % (147300)Time elapsed: 0.020 s
% 2.08/0.70  % (147300)Peak memory usage: 10 MB
% 2.08/0.70  % (147300)Instructions burned: 26 (million)
% 2.08/0.70  % (147311)Instruction limit reached! 
% 2.08/0.70  % (147311)------------------------------
% 2.08/0.70  % (147311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.70  % (147311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.70  % (147311)CaDiCaL version: 2.1.3
% 2.08/0.70  % (147311)Termination reason: Instruction limit
% 2.08/0.70  % (147311)Termination phase: shuffling
% 2.08/0.70  % (147311)Time elapsed: 0.008 s
% 2.08/0.70  % (147311)Peak memory usage: 11 MB
% 2.08/0.70  % (147311)Instructions burned: 35 (million)
% 2.08/0.70  % (147308)Instruction limit reached! 
% 2.08/0.70  % (147308)------------------------------
% 2.08/0.70  % (147308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.70  % (147308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.70  % (147308)CaDiCaL version: 2.1.3
% 2.08/0.70  % (147308)Termination reason: Instruction limit
% 2.08/0.70  % (147308)Termination phase: shuffling
% 2.08/0.70  % (147308)Time elapsed: 0.007 s
% 2.08/0.70  % (147308)Peak memory usage: 10 MB
% 2.08/0.70  % (147308)Instructions burned: 16 (million)
% 2.08/0.70  % (147310)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.08/0.70  % (147315)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4100880894:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.08/0.70  % (147310)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=897023792:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.08/0.70  % (147315)Instruction limit reached! 
% 2.08/0.70  % (147315)------------------------------
% 2.08/0.70  % (147315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.70  % (147315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.70  % (147315)CaDiCaL version: 2.1.3
% 2.08/0.70  % (147315)Termination reason: Instruction limit
% 2.08/0.70  % (147315)Termination phase: shuffling
% 2.08/0.70  % (147315)Time elapsed: 0.005 s
% 2.08/0.70  % (147315)Peak memory usage: 10 MB
% 2.08/0.70  % (147315)Instructions burned: 24 (million)
% 2.08/0.70  % (147316)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4196009653:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.08/0.70  % (147310)Instruction limit reached! 
% 2.08/0.70  % (147310)------------------------------
% 2.08/0.70  % (147310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.70  % (147310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.70  % (147310)CaDiCaL version: 2.1.3
% 2.08/0.70  % (147310)Termination reason: Instruction limit
% 2.08/0.70  % (147310)Termination phase: shuffling
% 2.08/0.70  % (147310)Time elapsed: 0.008 s
% 2.08/0.70  % (147310)Peak memory usage: 10 MB
% 2.08/0.70  % (147310)Instructions burned: 9 (million)
% 2.08/0.70  % (147319)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2862654234:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.52/0.84  % (147316)Instruction limit reached! 
% 2.52/0.84  % (147316)------------------------------
% 2.52/0.84  % (147316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.84  % (147316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.84  % (147316)CaDiCaL version: 2.1.3
% 2.52/0.84  % (147316)Termination reason: Instruction limit
% 2.52/0.84  % (147316)Termination phase: shuffling
% 2.52/0.84  % (147316)Time elapsed: 0.010 s
% 2.52/0.84  % (147316)Peak memory usage: 10 MB
% 2.52/0.84  % (147316)Instructions burned: 21 (million)
% 2.52/0.84  % (147314)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1970535925:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.52/0.84  % (147291)Instruction limit reached! 
% 2.52/0.84  % (147291)------------------------------
% 2.52/0.84  % (147291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.84  % (147291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.84  % (147291)CaDiCaL version: 2.1.3
% 2.52/0.84  % (147291)Termination reason: Instruction limit
% 2.52/0.84  % (147291)Termination phase: Saturation
% 2.52/0.84  % (147291)Time elapsed: 0.109 s
% 2.52/0.84  % (147291)Peak memory usage: 15 MB
% 2.52/0.84  % (147291)Instructions burned: 250 (million)
% 2.52/0.84  % (147314)Instruction limit reached! 
% 2.52/0.84  % (147314)------------------------------
% 2.52/0.84  % (147314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.84  % (147314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.84  % (147314)CaDiCaL version: 2.1.3
% 2.52/0.84  % (147314)Termination reason: Instruction limit
% 2.52/0.84  % (147314)Termination phase: shuffling
% 2.52/0.84  % (147314)Time elapsed: 0.006 s
% 2.52/0.84  % (147314)Peak memory usage: 10 MB
% 2.52/0.84  % (147314)Instructions burned: 7 (million)
% 2.52/0.84  % (147323)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=861438119:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.52/0.84  % (147321)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2939996005:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.52/0.84  % (147325)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3472493419:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.52/0.84  % (147326)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.52/0.84  % (147326)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3050553671:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.52/0.84  % (147326)Instruction limit reached! 
% 2.52/0.84  % (147326)------------------------------
% 2.52/0.84  % (147326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.84  % (147326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.84  % (147326)CaDiCaL version: 2.1.3
% 2.52/0.84  % (147326)Termination reason: Instruction limit
% 2.52/0.84  % (147326)Termination phase: shuffling
% 2.52/0.84  % (147326)Time elapsed: 0.011 s
% 2.52/0.84  % (147326)Peak memory usage: 10 MB
% 2.52/0.84  % (147326)Instructions burned: 7 (million)
% 2.52/0.84  % (147325)Instruction limit reached! 
% 2.52/0.84  % (147325)------------------------------
% 2.52/0.84  % (147325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.84  % (147325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.84  % (147325)CaDiCaL version: 2.1.3
% 2.52/0.84  % (147325)Termination reason: Instruction limit
% 2.52/0.84  % (147325)Termination phase: Property scanning
% 2.52/0.84  % (147325)Time elapsed: 0.031 s
% 2.52/0.84  % (147325)Peak memory usage: 11 MB
% 2.52/0.84  % (147325)Instructions burned: 44 (million)
% 2.52/0.84  % (147331)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1266550795:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.52/0.84  % (147294)Instruction limit reached! 
% 2.52/0.84  % (147294)------------------------------
% 2.52/0.84  % (147294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.84  % (147294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.96  % (147294)CaDiCaL version: 2.1.3
% 2.81/0.96  % (147294)Termination reason: Instruction limit
% 2.81/0.96  % (147294)Termination phase: Saturation
% 2.81/0.96  % (147294)Time elapsed: 0.169 s
% 2.81/0.96  % (147294)Peak memory usage: 15 MB
% 2.81/0.96  % (147294)Instructions burned: 331 (million)
% 2.81/0.96  % (147332)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=1106197051:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.81/0.96  % (147334)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.81/0.96  % (147334)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1638835390:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.81/0.96  % (147334)Instruction limit reached! 
% 2.81/0.96  % (147334)------------------------------
% 2.81/0.96  % (147334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.96  % (147334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.96  % (147334)CaDiCaL version: 2.1.3
% 2.81/0.96  % (147334)Termination reason: Instruction limit
% 2.81/0.96  % (147334)Termination phase: shuffling
% 2.81/0.96  % (147334)Time elapsed: 0.002 s
% 2.81/0.96  % (147334)Peak memory usage: 10 MB
% 2.81/0.96  % (147334)Instructions burned: 8 (million)
% 2.81/0.96  % (147323)Instruction limit reached! 
% 2.81/0.96  % (147323)------------------------------
% 2.81/0.96  % (147323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.96  % (147323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.96  % (147323)CaDiCaL version: 2.1.3
% 2.81/0.96  % (147323)Termination reason: Instruction limit
% 2.81/0.96  % (147323)Termination phase: Saturation
% 2.81/0.96  % (147323)Time elapsed: 0.081 s
% 2.81/0.96  % (147323)Peak memory usage: 13 MB
% 2.81/0.96  % (147323)Instructions burned: 193 (million)
% 2.81/0.96  % (147321)Instruction limit reached! 
% 2.81/0.96  % (147321)------------------------------
% 2.81/0.96  % (147321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.96  % (147321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.96  % (147321)CaDiCaL version: 2.1.3
% 2.81/0.96  % (147321)Termination reason: Instruction limit
% 2.81/0.96  % (147321)Termination phase: Saturation
% 2.81/0.96  % (147321)Time elapsed: 0.076 s
% 2.81/0.96  % (147321)Peak memory usage: 12 MB
% 2.81/0.96  % (147321)Instructions burned: 144 (million)
% 2.81/0.96  % (147337)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2445675809:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.81/0.96  % (147337)Instruction limit reached! 
% 2.81/0.96  % (147337)------------------------------
% 2.81/0.96  % (147337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.96  % (147337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.96  % (147337)CaDiCaL version: 2.1.3
% 2.81/0.96  % (147337)Termination reason: Instruction limit
% 2.81/0.96  % (147337)Termination phase: shuffling
% 2.81/0.96  % (147337)Time elapsed: 0.006 s
% 2.81/0.96  % (147337)Peak memory usage: 10 MB
% 2.81/0.96  % (147337)Instructions burned: 27 (million)
% 2.81/0.96  % (147338)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2953249608:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.81/0.96  % (147339)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=487155110:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.81/0.96  % (147341)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=3660346053: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)
% 2.81/0.96  % (147338)Instruction limit reached! 
% 2.81/0.96  % (147338)------------------------------
% 2.81/0.96  % (147338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.96  % (147338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.96  % (147338)CaDiCaL version: 2.1.3
% 4.59/1.06  % (147338)Termination reason: Instruction limit
% 4.59/1.06  % (147338)Termination phase: shuffling
% 4.59/1.06  % (147338)Time elapsed: 0.009 s
% 4.59/1.06  % (147338)Peak memory usage: 10 MB
% 4.59/1.06  % (147338)Instructions burned: 20 (million)
% 4.59/1.06  % (147345)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=1352163910: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)
% 4.59/1.06  % (147332)Instruction limit reached! 
% 4.59/1.06  % (147332)------------------------------
% 4.59/1.06  % (147332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.59/1.06  % (147332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.06  % (147332)CaDiCaL version: 2.1.3
% 4.59/1.06  % (147332)Termination reason: Instruction limit
% 4.59/1.06  % (147332)Termination phase: Saturation
% 4.59/1.06  % (147332)Time elapsed: 0.070 s
% 4.59/1.06  % (147332)Peak memory usage: 13 MB
% 4.59/1.06  % (147332)Instructions burned: 169 (million)
% 4.59/1.06  % (147345)Instruction limit reached! 
% 4.59/1.06  % (147345)------------------------------
% 4.59/1.06  % (147345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.59/1.06  % (147345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.06  % (147345)CaDiCaL version: 2.1.3
% 4.59/1.06  % (147345)Termination reason: Instruction limit
% 4.59/1.06  % (147345)Termination phase: Property scanning
% 4.59/1.06  % (147345)Time elapsed: 0.019 s
% 4.59/1.06  % (147345)Peak memory usage: 10 MB
% 4.59/1.06  % (147345)Instructions burned: 45 (million)
% 4.59/1.06  % (147347)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2071195453:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 4.59/1.06  % (147348)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3539102535:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 4.59/1.06  % (147348)Instruction limit reached! 
% 4.59/1.06  % (147348)------------------------------
% 4.59/1.06  % (147348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.59/1.06  % (147348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.06  % (147348)CaDiCaL version: 2.1.3
% 4.59/1.06  % (147348)Termination reason: Instruction limit
% 4.59/1.06  % (147348)Termination phase: shuffling
% 4.59/1.06  % (147348)Time elapsed: 0.010 s
% 4.59/1.06  % (147348)Peak memory usage: 10 MB
% 4.59/1.06  % (147348)Instructions burned: 23 (million)
% 4.59/1.06  % (147351)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 4.59/1.06  % (147351)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3285316721:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 4.59/1.06  % (147331)Instruction limit reached! 
% 4.59/1.06  % (147331)------------------------------
% 4.59/1.06  % (147331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.59/1.06  % (147331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.06  % (147331)CaDiCaL version: 2.1.3
% 4.59/1.06  % (147331)Termination reason: Instruction limit
% 4.59/1.06  % (147331)Termination phase: Saturation
% 4.59/1.06  % (147331)Time elapsed: 0.141 s
% 4.59/1.06  % (147331)Peak memory usage: 13 MB
% 4.59/1.06  % (147331)Instructions burned: 182 (million)
% 4.59/1.06  % (147353)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2155162740:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 4.59/1.06  % (147339)Instruction limit reached! 
% 4.59/1.06  % (147339)------------------------------
% 4.59/1.06  % (147339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.59/1.06  % (147339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.06  % (147339)CaDiCaL version: 2.1.3
% 4.59/1.06  % (147339)Termination reason: Instruction limit
% 4.59/1.06  % (147339)Termination phase: Saturation
% 4.59/1.06  % (147339)Time elapsed: 0.143 s
% 4.59/1.06  % (147339)Peak memory usage: 15 MB
% 4.59/1.06  % (147339)Instructions burned: 317 (million)
% 4.59/1.06  % (147353)Instruction limit reached! 
% 4.59/1.06  % (147353)------------------------------
% 4.59/1.06  % (147353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.59/1.06  % (147353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.19  % (147353)CaDiCaL version: 2.1.3
% 5.14/1.19  % (147353)Termination reason: Instruction limit
% 5.14/1.19  % (147353)Termination phase: shuffling
% 5.14/1.19  % (147353)Time elapsed: 0.012 s
% 5.14/1.19  % (147353)Peak memory usage: 10 MB
% 5.14/1.19  % (147353)Instructions burned: 13 (million)
% 5.14/1.19  % (147355)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=1886533110:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.14/1.19  % (147356)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3570865660:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 5.14/1.19  % (147351)Instruction limit reached! 
% 5.14/1.19  % (147351)------------------------------
% 5.14/1.19  % (147351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.19  % (147351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.19  % (147351)CaDiCaL version: 2.1.3
% 5.14/1.19  % (147351)Termination reason: Instruction limit
% 5.14/1.19  % (147351)Termination phase: Saturation
% 5.14/1.19  % (147351)Time elapsed: 0.114 s
% 5.14/1.19  % (147351)Peak memory usage: 14 MB
% 5.14/1.19  % (147351)Instructions burned: 200 (million)
% 5.14/1.19  % (147359)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2581161734:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 5.14/1.19  % (147356)Instruction limit reached! 
% 5.14/1.19  % (147356)------------------------------
% 5.14/1.19  % (147356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.19  % (147356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.19  % (147356)CaDiCaL version: 2.1.3
% 5.14/1.19  % (147356)Termination reason: Instruction limit
% 5.14/1.19  % (147356)Termination phase: Property scanning
% 5.14/1.19  % (147356)Time elapsed: 0.042 s
% 5.14/1.19  % (147356)Peak memory usage: 11 MB
% 5.14/1.19  % (147356)Instructions burned: 52 (million)
% 5.14/1.19  % (147355)Instruction limit reached! 
% 5.14/1.19  % (147355)------------------------------
% 5.14/1.19  % (147355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.19  % (147355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.19  % (147355)CaDiCaL version: 2.1.3
% 5.14/1.19  % (147355)Termination reason: Instruction limit
% 5.14/1.19  % (147355)Termination phase: SInE selection
% 5.14/1.19  % (147355)Time elapsed: 0.060 s
% 5.14/1.19  % (147355)Peak memory usage: 11 MB
% 5.14/1.19  % (147355)Instructions burned: 66 (million)
% 5.14/1.19  % (147341)Instruction limit reached! 
% 5.14/1.19  % (147341)------------------------------
% 5.14/1.19  % (147341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.19  % (147341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.19  % (147341)CaDiCaL version: 2.1.3
% 5.14/1.19  % (147341)Termination reason: Instruction limit
% 5.14/1.19  % (147341)Termination phase: Saturation
% 5.14/1.19  % (147341)Time elapsed: 0.237 s
% 5.14/1.19  % (147341)Peak memory usage: 22 MB
% 5.14/1.19  % (147341)Instructions burned: 856 (million)
% 5.14/1.19  % (147363)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2705535748:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 5.14/1.19  % (147359)Instruction limit reached! 
% 5.14/1.19  % (147359)------------------------------
% 5.14/1.19  % (147359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.19  % (147359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.19  % (147359)CaDiCaL version: 2.1.3
% 5.14/1.19  % (147359)Termination reason: Instruction limit
% 5.14/1.19  % (147359)Termination phase: shuffling
% 5.14/1.19  % (147359)Time elapsed: 0.022 s
% 5.14/1.19  % (147359)Peak memory usage: 10 MB
% 5.14/1.19  % (147359)Instructions burned: 34 (million)
% 5.14/1.19  % (147362)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=2859183542:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.14/1.19  % (147363)Instruction limit reached! 
% 5.14/1.19  % (147363)------------------------------
% 5.14/1.19  % (147363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.19  % (147363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.19  % (147363)CaDiCaL version: 2.1.3
% 5.14/1.19  % (147363)Termination reason: Instruction limit
% 5.04/1.34  % (147363)Termination phase: Property scanning
% 5.04/1.34  % (147363)Time elapsed: 0.015 s
% 5.04/1.34  % (147363)Peak memory usage: 11 MB
% 5.04/1.34  % (147363)Instructions burned: 70 (million)
% 5.04/1.34  % (147365)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.04/1.34  % (147262)Instruction limit reached! 
% 5.04/1.34  % (147262)------------------------------
% 5.04/1.34  % (147262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.04/1.34  % (147361)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2971328321:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.04/1.34  % (147262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.34  % (147262)CaDiCaL version: 2.1.3
% 5.04/1.34  % (147262)Termination reason: Instruction limit
% 5.04/1.34  % (147262)Termination phase: Saturation
% 5.04/1.34  % (147262)Time elapsed: 0.577 s
% 5.04/1.34  % (147262)Peak memory usage: 20 MB
% 5.04/1.34  % (147262)Instructions burned: 634 (million)
% 5.04/1.34  % (147365)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=4119298576:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 5.04/1.34  % (147362)Instruction limit reached! 
% 5.04/1.34  % (147362)------------------------------
% 5.04/1.34  % (147362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.04/1.34  % (147362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.34  % (147362)CaDiCaL version: 2.1.3
% 5.04/1.34  % (147362)Termination reason: Instruction limit
% 5.04/1.34  % (147362)Termination phase: Property scanning
% 5.04/1.34  % (147362)Time elapsed: 0.016 s
% 5.04/1.34  % (147362)Peak memory usage: 11 MB
% 5.04/1.34  % (147362)Instructions burned: 35 (million)
% 5.04/1.34  % (147367)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2916446955:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 5.04/1.34  % (147347)Instruction limit reached! 
% 5.04/1.34  % (147347)------------------------------
% 5.04/1.34  % (147347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.04/1.34  % (147347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.34  % (147347)CaDiCaL version: 2.1.3
% 5.04/1.34  % (147347)Termination reason: Instruction limit
% 5.04/1.34  % (147347)Termination phase: Saturation
% 5.04/1.34  % (147347)Time elapsed: 0.232 s
% 5.04/1.34  % (147347)Peak memory usage: 17 MB
% 5.04/1.34  % (147347)Instructions burned: 482 (million)
% 5.04/1.34  % (147373)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2117510180:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 5.04/1.34  % (147370)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1095997978:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 5.04/1.34  % (147371)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=726239511:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 5.04/1.34  % (147367)Instruction limit reached! 
% 5.04/1.34  % (147367)------------------------------
% 5.04/1.34  % (147367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.04/1.34  % (147367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.34  % (147367)CaDiCaL version: 2.1.3
% 5.04/1.34  % (147367)Termination reason: Instruction limit
% 5.04/1.34  % (147367)Termination phase: Saturation
% 5.04/1.34  % (147367)Time elapsed: 0.057 s
% 5.04/1.34  % (147367)Peak memory usage: 14 MB
% 5.04/1.34  % (147367)Instructions burned: 250 (million)
% 5.04/1.34  % (147377)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1054761938:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 5.04/1.34  % (147365)Instruction limit reached! 
% 5.04/1.34  % (147365)------------------------------
% 5.04/1.34  % (147365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.04/1.34  % (147365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.34  % (147365)CaDiCaL version: 2.1.3
% 5.04/1.34  % (147365)Termination reason: Instruction limit
% 5.04/1.34  % (147365)Termination phase: Saturation
% 5.04/1.34  % (147365)Time elapsed: 0.075 s
% 5.04/1.34  % (147365)Peak memory usage: 13 MB
% 5.04/1.34  % (147365)Instructions burned: 181 (million)
% 5.04/1.34  % (147379)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3166270626:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.37/1.42  % (147361)Instruction limit reached! 
% 6.37/1.42  % (147361)------------------------------
% 6.37/1.42  % (147361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/1.42  % (147361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.42  % (147361)CaDiCaL version: 2.1.3
% 6.37/1.42  % (147361)Termination reason: Instruction limit
% 6.37/1.42  % (147361)Termination phase: Property scanning
% 6.37/1.42  % (147361)Time elapsed: 0.109 s
% 6.37/1.42  % (147361)Peak memory usage: 12 MB
% 6.37/1.42  % (147361)Instructions burned: 138 (million)
% 6.37/1.42  % (147370)Instruction limit reached! 
% 6.37/1.42  % (147370)------------------------------
% 6.37/1.42  % (147370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/1.42  % (147370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.42  % (147370)CaDiCaL version: 2.1.3
% 6.37/1.42  % (147370)Termination reason: Instruction limit
% 6.37/1.42  % (147370)Termination phase: Function definition elimination
% 6.37/1.42  % (147370)Time elapsed: 0.083 s
% 6.37/1.42  % (147370)Peak memory usage: 11 MB
% 6.37/1.42  % (147370)Instructions burned: 96 (million)
% 6.37/1.42  % (147381)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=343551620:i=44:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/44Mi)
% 6.37/1.42  % (147379)Instruction limit reached! 
% 6.37/1.42  % (147379)------------------------------
% 6.37/1.42  % (147379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/1.42  % (147379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.42  % (147379)CaDiCaL version: 2.1.3
% 6.37/1.42  % (147379)Termination reason: Instruction limit
% 6.37/1.42  % (147379)Termination phase: Property scanning
% 6.37/1.42  % (147379)Time elapsed: 0.054 s
% 6.37/1.42  % (147379)Peak memory usage: 12 MB
% 6.37/1.42  % (147379)Instructions burned: 131 (million)
% 6.37/1.42  % (147382)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4246565761:s2a=on:i=571:nm=16:rtra=on_2992 on theBenchmark for (2992ds/571Mi)
% 6.37/1.42  % (147384)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2761263599:i=450:rtra=on:ixr=off:ntd=on_2992 on theBenchmark for (2992ds/450Mi)
% 6.37/1.42  % (147381)Instruction limit reached! 
% 6.37/1.42  % (147381)------------------------------
% 6.37/1.42  % (147381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/1.42  % (147381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.42  % (147381)CaDiCaL version: 2.1.3
% 6.37/1.42  % (147381)Termination reason: Instruction limit
% 6.37/1.42  % (147381)Termination phase: Property scanning
% 6.37/1.42  % (147381)Time elapsed: 0.041 s
% 6.37/1.42  % (147381)Peak memory usage: 11 MB
% 6.37/1.42  % (147381)Instructions burned: 44 (million)
% 6.37/1.42  % (147387)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=4023960805:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/95Mi)
% 6.37/1.42  % (147377)Instruction limit reached! 
% 6.37/1.42  % (147377)------------------------------
% 6.37/1.42  % (147377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/1.42  % (147377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.42  % (147377)CaDiCaL version: 2.1.3
% 6.37/1.42  % (147377)Termination reason: Instruction limit
% 6.37/1.42  % (147377)Termination phase: Saturation
% 6.37/1.42  % (147377)Time elapsed: 0.126 s
% 6.37/1.42  % (147377)Peak memory usage: 16 MB
% 6.37/1.42  % (147377)Instructions burned: 517 (million)
% 6.37/1.42  % (147389)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=3000167191:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2991 on theBenchmark for (2991ds/65Mi)
% 6.37/1.42  % (147389)Instruction limit reached! 
% 6.37/1.42  % (147389)------------------------------
% 6.37/1.42  % (147389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/1.42  % (147389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.42  % (147389)CaDiCaL version: 2.1.3
% 6.37/1.42  % (147389)Termination reason: Instruction limit
% 6.37/1.42  % (147389)Termination phase: SInE selection
% 6.37/1.42  % (147389)Time elapsed: 0.015 s
% 7.17/1.50  % (147389)Peak memory usage: 11 MB
% 7.17/1.50  % (147389)Instructions burned: 69 (million)
% 7.17/1.50  % (147387)Instruction limit reached! 
% 7.17/1.50  % (147387)------------------------------
% 7.17/1.50  % (147387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.50  % (147387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.50  % (147387)CaDiCaL version: 2.1.3
% 7.17/1.50  % (147387)Termination reason: Instruction limit
% 7.17/1.50  % (147387)Termination phase: Function definition elimination
% 7.17/1.50  % (147387)Time elapsed: 0.039 s
% 7.17/1.50  % (147387)Peak memory usage: 11 MB
% 7.17/1.50  % (147387)Instructions burned: 95 (million)
% 7.17/1.50  % (147391)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=2652396451: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_2991 on theBenchmark for (2991ds/105Mi)
% 7.17/1.50  % (147371)Instruction limit reached! 
% 7.17/1.50  % (147371)------------------------------
% 7.17/1.50  % (147371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.50  % (147371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.50  % (147371)CaDiCaL version: 2.1.3
% 7.17/1.50  % (147371)Termination reason: Instruction limit
% 7.17/1.50  % (147371)Termination phase: Saturation
% 7.17/1.50  % (147371)Time elapsed: 0.205 s
% 7.17/1.50  % (147371)Peak memory usage: 16 MB
% 7.17/1.50  % (147371)Instructions burned: 427 (million)
% 7.17/1.50  % (147392)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=2730414794:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2991 on theBenchmark for (2991ds/5755Mi)
% 7.17/1.50  % (147391)Instruction limit reached! 
% 7.17/1.50  % (147391)------------------------------
% 7.17/1.50  % (147391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.50  % (147391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.50  % (147391)CaDiCaL version: 2.1.3
% 7.17/1.50  % (147391)Termination reason: Instruction limit
% 7.17/1.50  % (147391)Termination phase: Property scanning
% 7.17/1.50  % (147391)Time elapsed: 0.023 s
% 7.17/1.50  % (147391)Peak memory usage: 12 MB
% 7.17/1.50  % (147391)Instructions burned: 108 (million)
% 7.17/1.50  % (147394)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1483249328:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/375Mi)
% 7.17/1.50  % (147396)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2860861371:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/495Mi)
% 7.17/1.50  % (147319)Instruction limit reached! 
% 7.17/1.50  % (147319)------------------------------
% 7.17/1.50  % (147319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.50  % (147319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.50  % (147319)CaDiCaL version: 2.1.3
% 7.17/1.50  % (147319)Termination reason: Instruction limit
% 7.17/1.50  % (147319)Termination phase: Saturation
% 7.17/1.50  % (147319)Time elapsed: 0.736 s
% 7.17/1.50  % (147319)Peak memory usage: 19 MB
% 7.17/1.50  % (147319)Instructions burned: 1240 (million)
% 7.17/1.50  % (147399)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=4065969656:cond=on:i=34:hud=10:nm=10:rtra=on_2990 on theBenchmark for (2990ds/34Mi)
% 7.17/1.50  % (147399)Instruction limit reached! 
% 7.17/1.50  % (147399)------------------------------
% 7.17/1.50  % (147399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.50  % (147399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.50  % (147399)CaDiCaL version: 2.1.3
% 7.17/1.50  % (147399)Termination reason: Instruction limit
% 7.17/1.50  % (147399)Termination phase: shuffling
% 7.17/1.50  % (147399)Time elapsed: 0.016 s
% 7.17/1.50  % (147399)Peak memory usage: 11 MB
% 7.17/1.50  % (147399)Instructions burned: 35 (million)
% 7.17/1.50  % (147384)Instruction limit reached! 
% 7.17/1.50  % (147384)------------------------------
% 7.17/1.50  % (147384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.50  % (147384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.62  % (147384)CaDiCaL version: 2.1.3
% 7.54/1.62  % (147384)Termination reason: Instruction limit
% 7.54/1.62  % (147384)Termination phase: Saturation
% 7.54/1.62  % (147384)Time elapsed: 0.211 s
% 7.54/1.62  % (147384)Peak memory usage: 20 MB
% 7.54/1.62  % (147384)Instructions burned: 452 (million)
% 7.54/1.62  % (147401)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2344997022:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/91Mi)
% 7.54/1.62  % (147402)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=4014502385:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2989 on theBenchmark for (2989ds/66Mi)
% 7.54/1.62  % (147396)Instruction limit reached! 
% 7.54/1.62  % (147396)------------------------------
% 7.54/1.62  % (147396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.62  % (147396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.62  % (147396)CaDiCaL version: 2.1.3
% 7.54/1.62  % (147396)Termination reason: Instruction limit
% 7.54/1.62  % (147396)Termination phase: Saturation
% 7.54/1.62  % (147396)Time elapsed: 0.130 s
% 7.54/1.62  % (147396)Peak memory usage: 18 MB
% 7.54/1.62  % (147396)Instructions burned: 497 (million)
% 7.54/1.62  % (147405)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=52430941:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2989 on theBenchmark for (2989ds/22Mi)
% 7.54/1.62  % (147405)Instruction limit reached! 
% 7.54/1.62  % (147405)------------------------------
% 7.54/1.62  % (147405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.62  % (147405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.62  % (147405)CaDiCaL version: 2.1.3
% 7.54/1.62  % (147405)Termination reason: Instruction limit
% 7.54/1.62  % (147405)Termination phase: shuffling
% 7.54/1.62  % (147405)Time elapsed: 0.005 s
% 7.54/1.62  % (147405)Peak memory usage: 10 MB
% 7.54/1.62  % (147405)Instructions burned: 22 (million)
% 7.54/1.62  % (147407)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=3522356813:i=338:bd=all:ins=4:rtra=on_2989 on theBenchmark for (2989ds/338Mi)
% 7.54/1.62  % (147402)Instruction limit reached! 
% 7.54/1.62  % (147402)------------------------------
% 7.54/1.62  % (147402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.62  % (147402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.62  % (147402)CaDiCaL version: 2.1.3
% 7.54/1.62  % (147402)Termination reason: Instruction limit
% 7.54/1.62  % (147402)Termination phase: Preprocessing 3
% 7.54/1.62  % (147402)Time elapsed: 0.030 s
% 7.54/1.62  % (147402)Peak memory usage: 12 MB
% 7.54/1.62  % (147402)Instructions burned: 67 (million)
% 7.54/1.62  % (147401)Instruction limit reached! 
% 7.54/1.62  % (147401)------------------------------
% 7.54/1.62  % (147401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.62  % (147401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.62  % (147401)CaDiCaL version: 2.1.3
% 7.54/1.62  % (147401)Termination reason: Instruction limit
% 7.54/1.62  % (147401)Termination phase: Property scanning
% 7.54/1.62  % (147401)Time elapsed: 0.041 s
% 7.54/1.62  % (147401)Peak memory usage: 12 MB
% 7.54/1.62  % (147401)Instructions burned: 97 (million)
% 7.54/1.62  % (147394)Instruction limit reached! 
% 7.54/1.62  % (147394)------------------------------
% 7.54/1.62  % (147394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.62  % (147394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.62  % (147394)CaDiCaL version: 2.1.3
% 7.54/1.62  % (147394)Termination reason: Instruction limit
% 7.54/1.62  % (147394)Termination phase: Saturation
% 7.54/1.62  % (147394)Time elapsed: 0.175 s
% 7.54/1.62  % (147394)Peak memory usage: 15 MB
% 7.54/1.62  % (147394)Instructions burned: 376 (million)
% 7.54/1.62  % (147409)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3534088899:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/28Mi)
% 7.54/1.62  % (147410)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.54/1.62  % (147382)Instruction limit reached! 
% 7.54/1.62  % (147382)------------------------------
% 7.54/1.62  % (147382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.62  % (147382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147382)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147382)Termination reason: Instruction limit
% 7.54/1.69  % (147382)Termination phase: Saturation
% 7.54/1.69  % (147382)Time elapsed: 0.293 s
% 7.54/1.69  % (147382)Peak memory usage: 18 MB
% 7.54/1.69  % (147382)Instructions burned: 571 (million)
% 7.54/1.69  % (147410)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2064977024:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/137Mi)
% 7.54/1.69  % (147373)Instruction limit reached! 
% 7.54/1.69  % (147373)------------------------------
% 7.54/1.69  % (147373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.69  % (147373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147373)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147373)Termination reason: Instruction limit
% 7.54/1.69  % (147373)Termination phase: Saturation
% 7.54/1.69  % (147373)Time elapsed: 0.419 s
% 7.54/1.69  % (147373)Peak memory usage: 17 MB
% 7.54/1.69  % (147373)Instructions burned: 874 (million)
% 7.54/1.69  % (147411)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=1163279182:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/340Mi)
% 7.54/1.69  % (147409)Instruction limit reached! 
% 7.54/1.69  % (147409)------------------------------
% 7.54/1.69  % (147409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.69  % (147409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147409)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147409)Termination reason: Instruction limit
% 7.54/1.69  % (147409)Termination phase: shuffling
% 7.54/1.69  % (147409)Time elapsed: 0.013 s
% 7.54/1.69  % (147409)Peak memory usage: 10 MB
% 7.54/1.69  % (147409)Instructions burned: 28 (million)
% 7.54/1.69  % (147415)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.54/1.69  % (147413)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3377927806:i=227:sd=1:bd=all:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/227Mi)
% 7.54/1.69  % (147415)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2632508211:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/373Mi)
% 7.54/1.69  % (147417)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=29033468:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 7.54/1.69  % (147407)Instruction limit reached! 
% 7.54/1.69  % (147407)------------------------------
% 7.54/1.69  % (147407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.69  % (147407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147407)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147407)Termination reason: Instruction limit
% 7.54/1.69  % (147407)Termination phase: Saturation
% 7.54/1.69  % (147407)Time elapsed: 0.075 s
% 7.54/1.69  % (147407)Peak memory usage: 18 MB
% 7.54/1.69  % (147407)Instructions burned: 341 (million)
% 7.54/1.69  % (147410)Instruction limit reached! 
% 7.54/1.69  % (147410)------------------------------
% 7.54/1.69  % (147410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.69  % (147410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147410)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147410)Termination reason: Instruction limit
% 7.54/1.69  % (147410)Termination phase: Saturation
% 7.54/1.69  % (147410)Time elapsed: 0.055 s
% 7.54/1.69  % (147410)Peak memory usage: 12 MB
% 7.54/1.69  % (147410)Instructions burned: 137 (million)
% 7.54/1.69  % (147421)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1319127754:i=575:rtra=on_2988 on theBenchmark for (2988ds/575Mi)
% 7.54/1.69  % (147422)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3175945017:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2988 on theBenchmark for (2988ds/270Mi)
% 7.54/1.69  % (147417)Instruction limit reached! 
% 7.54/1.69  % (147417)------------------------------
% 7.54/1.69  % (147417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.69  % (147417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147417)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147417)Termination reason: Instruction limit
% 7.54/1.69  % (147417)Termination phase: Property scanning
% 7.54/1.69  % (147417)Time elapsed: 0.052 s
% 7.54/1.69  % (147417)Peak memory usage: 13 MB
% 7.54/1.69  % (147417)Instructions burned: 116 (million)
% 7.54/1.69  % (147425)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=620750599: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_2988 on theBenchmark for (2988ds/9840Mi)
% 7.54/1.69  % (147413)Instruction limit reached! 
% 7.54/1.69  % (147413)------------------------------
% 7.54/1.69  % (147413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.69  % (147413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147413)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147413)Termination reason: Instruction limit
% 7.54/1.69  % (147413)Termination phase: Saturation
% 7.54/1.69  % (147413)Time elapsed: 0.099 s
% 7.54/1.69  % (147413)Peak memory usage: 15 MB
% 7.54/1.69  % (147413)Instructions burned: 227 (million)
% 7.54/1.69  % (147427)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3914309241:i=421:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/421Mi)
% 7.54/1.69  % (147411)Instruction limit reached! 
% 7.54/1.69  % (147411)------------------------------
% 7.54/1.69  % (147411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.69  % (147411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147411)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147411)Termination reason: Instruction limit
% 7.54/1.69  % (147411)Termination phase: Saturation
% 7.54/1.69  % (147411)Time elapsed: 0.144 s
% 7.54/1.69  % (147411)Peak memory usage: 14 MB
% 7.54/1.69  % (147411)Instructions burned: 341 (million)
% 7.54/1.69  % (147429)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
% 7.54/1.69  % (147429)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=183746911:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/270Mi)
% 7.54/1.69  % (147415)Instruction limit reached! 
% 7.54/1.69  % (147415)------------------------------
% 7.54/1.69  % (147415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.69  % (147415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147415)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147415)Termination reason: Instruction limit
% 7.54/1.69  % (147415)Termination phase: Saturation
% 7.54/1.69  % (147415)Time elapsed: 0.161 s
% 7.54/1.69  % (147415)Peak memory usage: 13 MB
% 7.54/1.69  % (147415)Instructions burned: 374 (million)
% 7.54/1.69  % (147422)Instruction limit reached! 
% 7.54/1.69  % (147422)------------------------------
% 7.54/1.69  % (147422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.69  % (147422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147422)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147422)Termination reason: Instruction limit
% 7.54/1.69  % (147422)Termination phase: Saturation
% 7.54/1.69  % (147422)Time elapsed: 0.110 s
% 7.54/1.69  % (147422)Peak memory usage: 15 MB
% 7.54/1.69  % (147422)Instructions burned: 270 (million)
% 7.54/1.69  % (147421)Instruction limit reached! 
% 7.54/1.69  % (147421)------------------------------
% 7.54/1.69  % (147421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.69  % (147421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147421)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147421)Termination reason: Instruction limit
% 7.54/1.69  % (147421)Termination phase: Saturation
% 7.54/1.69  % (147421)Time elapsed: 0.130 s
% 7.54/1.69  % (147421)Peak memory usage: 16 MB
% 7.54/1.69  % (147421)Instructions burned: 577 (million)
% 7.54/1.69  % (147432)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.54/1.69  % (147432)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
% 7.54/1.69  % (147431)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=774103078:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/31Mi)
% 7.54/1.69  % (147433)dis+10_2_sil=128000:si=on:random_seed=422490396:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2987 on theBenchmark for (2987ds/339Mi)
% 7.54/1.69  % (147432)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=2190014859:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2987 on theBenchmark for (2987ds/1440Mi)
% 7.54/1.69  % (147431)Instruction limit reached! 
% 7.54/1.69  % (147431)------------------------------
% 7.54/1.69  % (147431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.69  % (147431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.69  % (147431)CaDiCaL version: 2.1.3
% 7.54/1.69  % (147431)Termination reason: Instruction limit
% 7.54/1.69  % (147431)Termination phase: shuffling
% 7.54/1.69  % (147431)Time elapsed: 0.014 s
% 7.54/1.69  % (147431)Peak memory usage: 11 MB
% 7.54/1.69  % (147431)Instructions burned: 31 (million)
% 7.54/1.69  % (147437)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3250563554:i=111:add=on:fgj=on:rtra=on:fdi=1024_2986 on theBenchmark for (2986ds/111Mi)
% 7.54/1.69  % (147392) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-147254-147392"...
% 7.54/1.69  % (147392)...printing done.
% 7.54/1.69  % (147392)Refutation found. Thanks to Tanya!
% 7.54/1.69  % SZS status Theorem for theBenchmark
% 7.54/1.69  % SZS output start Proof for theBenchmark
% See solution above
% 7.54/1.70  % (147392)------------------------------
% 7.54/1.70  % (147392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.70  % (147392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.70  % (147392)CaDiCaL version: 2.1.3
% 7.54/1.70  % (147392)Termination reason: Refutation
% 7.54/1.70  % (147392)Time elapsed: 0.467 s
% 7.54/1.70  % (147392)Peak memory usage: 23 MB
% 7.54/1.70  % (147392)Instructions burned: 895 (million)
% 7.54/1.70  % (147254)Success in time 1.374 s
% 7.54/1.70  % Vampire exiting
%------------------------------------------------------------------------------