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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU630^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n015.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 08:32:45 AM UTC 2026

% Result   : Theorem 215.49s 30.66s
% Output   : Refutation 215.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   83 (  43 unt;   0 typ;   2 def)
%            Number of atoms       : 3006 ( 714 equ;   0 cnn)
%            Maximal formula atoms :  149 (  36 avg)
%            Number of connectives : 2501 (  30   ~;  51   |; 471   &;1248   @)
%                                         (   2 <=>; 640  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  158 (  16 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  271 ( 266 usr; 157 con; 0-4 aty)
%                                         (  40  !!;  19  ??;   0 @@+;   0 @@-)
%            Number of variables   :  213 (   0 sgn  90   !;  12   ?; 213   :)

% 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,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_171,type,
    vAND: $o > $o > $o ).

thf(func_def_172,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_173,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_174,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_175,type,
    vIMP: $o > $o > $o ).

thf(func_def_176,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_177,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_178,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_179,type,
    vIFF: $o > $o > $o ).

thf(func_def_180,type,
    vNOT: $o > $o ).

thf(func_def_181,type,
    vOR: $o > $o > $o ).

thf(func_def_182,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_183,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_186,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_191,type,
    sK4: $i > $i > $i ).

thf(func_def_192,type,
    sK5: $i > $i > $i ).

thf(func_def_193,type,
    sK6: $i > $i > $i ).

thf(func_def_194,type,
    sK7: $i > $i > $i ).

thf(func_def_195,type,
    sK8: $i > $i > $i ).

thf(func_def_196,type,
    sK9: $i > $i > $i ).

thf(func_def_197,type,
    sK10: $i > $i > $i ).

thf(func_def_198,type,
    sK11: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).

thf(func_def_199,type,
    sK12: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_200,type,
    sK13: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_201,type,
    sK14: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_202,type,
    sK15: ( $i > $o ) > $i > $i ).

thf(func_def_203,type,
    sK16: ( $i > $o ) > $i > $i ).

thf(func_def_204,type,
    sK17: ( $i > $o ) > $i > $i ).

thf(func_def_205,type,
    sK18: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_206,type,
    sK19: ( $i > $o ) > ( $i > $o ) > $i ).

thf(func_def_207,type,
    sK20: ( $i > $o ) > $i ).

thf(func_def_208,type,
    sK21: ( $i > $o ) > $i > $i ).

thf(func_def_209,type,
    sK22: ( $i > $o ) > $i ).

thf(func_def_210,type,
    sK23: ( $i > $o ) > $i > $i ).

thf(func_def_211,type,
    sK24: ( $i > $o ) > $i > $i ).

thf(func_def_212,type,
    sK25: ( $i > $o ) > $i ).

thf(func_def_213,type,
    sK26: ( $i > $o ) > $i > $i ).

thf(func_def_214,type,
    sK27: ( $i > $o ) > $i ).

thf(func_def_215,type,
    sK28: ( $i > $o ) > $i > $i ).

thf(func_def_216,type,
    sK29: ( $i > $o ) > $i > $i ).

thf(func_def_217,type,
    sK30: ( $i > $o ) > $i ).

thf(func_def_218,type,
    sK31: ( $i > $o ) > $i > $i ).

thf(func_def_219,type,
    sK32: ( $i > $o ) > $i ).

thf(func_def_220,type,
    sK33: ( $i > $o ) > $i > $i ).

thf(func_def_221,type,
    sK34: ( $i > $o ) > $i > $i ).

thf(func_def_222,type,
    sK35: ( $i > $o ) > $i > $i ).

thf(func_def_223,type,
    sK36: ( $i > $o ) > $i ).

thf(func_def_224,type,
    sK37: ( $i > $o ) > $i > $i ).

thf(func_def_225,type,
    sK38: ( $i > $o ) > $i ).

thf(func_def_226,type,
    sK39: ( $i > $o ) > $i ).

thf(func_def_227,type,
    sK40: ( $i > $o ) > $i ).

thf(func_def_228,type,
    sK41: ( $i > $o ) > $i ).

thf(func_def_229,type,
    sK42: ( $i > $o ) > $i > $i ).

thf(func_def_230,type,
    sK43: ( $i > $o ) > $i > $i ).

thf(func_def_231,type,
    sK44: ( $i > $o ) > $i > $i ).

thf(func_def_232,type,
    sK45: ( $i > $o ) > $i > $i ).

thf(func_def_233,type,
    sK46: ( $i > $o ) > $i > $i ).

thf(func_def_234,type,
    sK47: ( $i > $o ) > $i > $i ).

thf(func_def_235,type,
    sK48: ( $i > $o ) > $i > $i ).

thf(func_def_236,type,
    sK49: $i > $i ).

thf(func_def_237,type,
    sK50: ( $i > $o ) > $i ).

thf(func_def_238,type,
    sK51: ( $i > $o ) > $i > $i ).

thf(func_def_239,type,
    sK52: $i > $o > $i > $i ).

thf(func_def_240,type,
    sK53: $i > $i > $i ).

thf(func_def_241,type,
    sK54: $i > $i ).

thf(func_def_242,type,
    sK55: $i > $i ).

thf(func_def_243,type,
    sK56: $i > $i ).

thf(func_def_244,type,
    sK57: $i > $i > $i ).

thf(func_def_245,type,
    sK58: $i > $i > $i ).

thf(func_def_246,type,
    sK59: ( $i > $o ) > $i ).

thf(func_def_247,type,
    sK60: ( $i > $o ) > $i > $i ).

thf(func_def_248,type,
    sK61: ( $i > $o ) > $i ).

thf(func_def_249,type,
    sK62: ( $i > $o ) > $i > $i ).

thf(func_def_250,type,
    sK63: ( $i > $o ) > $i > $i ).

thf(func_def_251,type,
    sK64: $i > $i ).

thf(func_def_252,type,
    sK65: $i > $i > $i > $i ).

thf(func_def_253,type,
    sK66: $i > $i > $i ).

thf(func_def_254,type,
    sK67: $i > $i > $i ).

thf(func_def_255,type,
    sK68: $i > $i > $i ).

thf(func_def_256,type,
    sK69: $i > $i ).

thf(func_def_257,type,
    sK70: $i > ( $i > $i > $o ) > $i ).

thf(func_def_258,type,
    sK71: $i > ( $i > $i > $o ) > $i ).

thf(func_def_259,type,
    sK72: $i > $i > ( $i > $i > $o ) > $i ).

thf(func_def_260,type,
    sK73: $i > ( $i > $i > $o ) > $i > $i ).

thf(func_def_261,type,
    sK74: $i > $i > ( $i > $i > $o ) > $i ).

thf(func_def_262,type,
    sK75: $i > $i > ( $i > $i > $o ) > $i ).

thf(func_def_263,type,
    sK76: $i > $i ).

thf(func_def_264,type,
    sK77: $i > $i > $i ).

thf(func_def_265,type,
    sK78: $i > $i > $i ).

thf(func_def_266,type,
    sK79: $i > $i > $i ).

thf(f14,axiom,
    ( dsetconstrI
    = ( ! [X0: $i,X1: $i > $o,X2: $i] :
          ( ( in @ X2 @ X0 )
         => ( ( X1 @ X2 )
           => ( in @ X2
              @ ( dsetconstr @ X0
                @ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrI) ).

thf(f140,axiom,
    ( kpair
    = ( ^ [X0: $i,X1: $i] : ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kpair) ).

thf(f142,axiom,
    ( cartprod
    = ( ^ [X0: $i,X1: $i] :
          ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) )
          @ ^ [X2: $i] :
            ? [X3: $i] :
              ( ? [X4: $i] :
                  ( ( X2
                    = ( kpair @ X3 @ X4 ) )
                  & ( in @ X4 @ X1 ) )
              & ( in @ X3 @ X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprod) ).

thf(f151,axiom,
    ( ubforcartprodlem3
    = ( ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ X2 @ X0 )
         => ! [X3: $i] :
              ( ( in @ X3 @ X1 )
             => ( in @ ( kpair @ X2 @ X3 ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ubforcartprodlem3) ).

thf(f152,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
                                                                                                                                                                                                                                                                                                     => ! [X0: $i,X1: $i,X2: $i] :
                                                                                                                                                                                                                                                                                                          ( ( in @ X2 @ X0 )
                                                                                                                                                                                                                                                                                                         => ! [X3: $i] :
                                                                                                                                                                                                                                                                                                              ( ( in @ X3 @ X1 )
                                                                                                                                                                                                                                                                                                             => ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprodpairin) ).

thf(f153,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
                                                                                                                                                                                                                                                                                                       => ! [X0: $i,X1: $i,X2: $i] :
                                                                                                                                                                                                                                                                                                            ( ( in @ X2 @ X0 )
                                                                                                                                                                                                                                                                                                           => ! [X3: $i] :
                                                                                                                                                                                                                                                                                                                ( ( in @ X3 @ X1 )
                                                                                                                                                                                                                                                                                                               => ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f152]) ).

thf(f178,plain,
    ( dsetconstrI
    = ( ! [X0: $i,X1: $i > $o,X2: $i] :
          ( ( in @ X2 @ X0 )
         => ( ( X1 @ X2 )
           => ( in @ X2
              @ ( dsetconstr @ X0
                @ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ) ),
    inference(rectify,[],[f14]) ).

thf(f179,plain,
    ( dsetconstrI
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y1: $i > $o] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ Y2 )
                 => ( ( Y1 @ Y0 )
                   => ( in @ Y0
                      @ ( dsetconstr @ Y2
                        @ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f178]) ).

thf(f421,plain,
    ( kpair
    = ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ),
    inference(fool_elimination,[],[f140]) ).

thf(f424,plain,
    ( cartprod
    = ( ^ [X0: $i,X1: $i] :
          ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) )
          @ ^ [X2: $i] :
            ? [X3: $i] :
              ( ? [X4: $i] :
                  ( ( X2
                    = ( kpair @ X3 @ X4 ) )
                  & ( in @ X4 @ X1 ) )
              & ( in @ X3 @ X0 ) ) ) ) ),
    inference(rectify,[],[f142]) ).

thf(f425,plain,
    ( cartprod
    = ( ^ [Y0: $i,Y1: $i] :
          ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) )
          @ ^ [Y2: $i] :
              ( ?? @ $i
              @ ^ [Y3: $i] :
                  ( ( in @ Y3 @ Y0 )
                  & ( ?? @ $i
                    @ ^ [Y4: $i] :
                        ( ( in @ Y4 @ Y1 )
                        & ( ( kpair @ Y3 @ Y4 )
                          = Y2 ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f424]) ).

thf(f442,plain,
    ( ubforcartprodlem3
    = ( ! [X0: $i,X1: $i,X2: $i] :
          ( ( in @ X2 @ X0 )
         => ! [X3: $i] :
              ( ( in @ X3 @ X1 )
             => ( in @ ( kpair @ X2 @ X3 ) @ ( powerset @ ( powerset @ ( binunion @ X0 @ X1 ) ) ) ) ) ) ) ),
    inference(rectify,[],[f151]) ).

thf(f443,plain,
    ( ubforcartprodlem3
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ Y2 )
                 => ( !! @ $i
                    @ ^ [Y3: $i] :
                        ( ( in @ Y3 @ Y1 )
                       => ( in @ ( kpair @ Y0 @ Y3 ) @ ( powerset @ ( powerset @ ( binunion @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f442]) ).

thf(f444,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
                                                                                                                                                                                                                                                                                                       => ! [X0: $i,X1: $i,X2: $i] :
                                                                                                                                                                                                                                                                                                            ( ( in @ X2 @ X0 )
                                                                                                                                                                                                                                                                                                           => ! [X3: $i] :
                                                                                                                                                                                                                                                                                                                ( ( in @ X3 @ X1 )
                                                                                                                                                                                                                                                                                                               => ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f153]) ).

thf(f445,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 )
                                                                                                                                                                                                                                                                                                       => ! [X0: $i,X1: $i,X2: $i] :
                                                                                                                                                                                                                                                                                                            ( ( ( in @ X2 @ X0 )
                                                                                                                                                                                                                                                                                                              = $true )
                                                                                                                                                                                                                                                                                                           => ! [X3: $i] :
                                                                                                                                                                                                                                                                                                                ( ( ( in @ X3 @ X1 )
                                                                                                                                                                                                                                                                                                                  = $true )
                                                                                                                                                                                                                                                                                                               => ( ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X0 @ X1 ) )
                                                                                                                                                                                                                                                                                                                  = $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f444]) ).

thf(f446,plain,
    ( ? [X0: $i,X1: $i,X2: $i] :
        ( ? [X3: $i] :
            ( ( ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X0 @ X1 ) )
             != $true )
            & ( ( in @ X3 @ X1 )
              = $true ) )
        & ( ( in @ X2 @ X0 )
          = $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,[],[f445]) ).

thf(f447,plain,
    ( ? [X0: $i,X1: $i,X2: $i] :
        ( ? [X3: $i] :
            ( ( ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X0 @ X1 ) )
             != $true )
            & ( ( in @ X3 @ X1 )
              = $true ) )
        & ( ( in @ X2 @ X0 )
          = $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(flattening,[],[f446]) ).

thf(f448,plain,
    ( ( $true
     != ( in @ ( kpair @ sK2 @ sK3 ) @ ( cartprod @ sK0 @ sK1 ) ) )
    & ( $true
      = ( in @ sK3 @ sK1 ) )
    & ( $true
      = ( in @ sK2 @ sK0 ) )
    & ( 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(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f447]) ).

thf(f462,plain,
    ( dsetconstrI
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y1: $i > $o] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ Y2 )
                 => ( ( Y1 @ Y0 )
                   => ( in @ Y0
                      @ ( dsetconstr @ Y2
                        @ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f179]) ).

thf(f588,plain,
    ( kpair
    = ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ),
    inference(cnf_transformation,[],[f421]) ).

thf(f590,plain,
    ( cartprod
    = ( ^ [Y0: $i,Y1: $i] :
          ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) )
          @ ^ [Y2: $i] :
              ( ?? @ $i
              @ ^ [Y3: $i] :
                  ( ( in @ Y3 @ Y0 )
                  & ( ?? @ $i
                    @ ^ [Y4: $i] :
                        ( ( in @ Y4 @ Y1 )
                        & ( ( kpair @ Y3 @ Y4 )
                          = Y2 ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f425]) ).

thf(f599,plain,
    ( ubforcartprodlem3
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ Y2 )
                 => ( !! @ $i
                    @ ^ [Y3: $i] :
                        ( ( in @ Y3 @ Y1 )
                       => ( in @ ( kpair @ Y0 @ Y3 ) @ ( powerset @ ( powerset @ ( binunion @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f443]) ).

thf(f612,plain,
    dsetconstrI = $true,
    inference(cnf_transformation,[],[f448]) ).

thf(f745,plain,
    ubforcartprodlem3 = $true,
    inference(cnf_transformation,[],[f448]) ).

thf(f746,plain,
    ( $true
    = ( in @ sK2 @ sK0 ) ),
    inference(cnf_transformation,[],[f448]) ).

thf(f747,plain,
    ( $true
    = ( in @ sK3 @ sK1 ) ),
    inference(cnf_transformation,[],[f448]) ).

thf(f748,plain,
    ( $true
   != ( in @ ( kpair @ sK2 @ sK3 ) @ ( cartprod @ sK0 @ sK1 ) ) ),
    inference(cnf_transformation,[],[f448]) ).

thf(f751,plain,
    ( cartprod
    = ( ^ [Y0: $i,Y1: $i] :
          ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) )
          @ ^ [Y2: $i] :
              ( ?? @ $i
              @ ^ [Y3: $i] :
                  ( ( in @ Y3 @ Y0 )
                  & ( ?? @ $i
                    @ ^ [Y4: $i] :
                        ( ( in @ Y4 @ Y1 )
                        & ( ( ^ [Y5: $i,Y6: $i] : ( setadjoin @ ( setadjoin @ Y5 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y5 @ ( setadjoin @ Y6 @ emptyset ) ) @ emptyset ) )
                            @ Y3
                            @ Y4 )
                          = Y2 ) ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f590,f588]) ).

thf(f764,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ ( $i > $o )
          @ ^ [Y1: $i > $o] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ Y2 )
                 => ( ( Y1 @ Y0 )
                   => ( in @ Y0
                      @ ( dsetconstr @ Y2
                        @ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) )
    = $true ),
    inference(definition_unfolding,[],[f462,f612]) ).

thf(f897,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ Y2 )
                 => ( !! @ $i
                    @ ^ [Y3: $i] :
                        ( ( in @ Y3 @ Y1 )
                       => ( in
                          @ ( ^ [Y4: $i,Y5: $i] : ( setadjoin @ ( setadjoin @ Y4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y4 @ ( setadjoin @ Y5 @ emptyset ) ) @ emptyset ) )
                            @ Y0
                            @ Y3 )
                          @ ( powerset @ ( powerset @ ( binunion @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f599,f745,f588]) ).

thf(f898,plain,
    ( $true
   != ( in
      @ ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
        @ sK2
        @ sK3 )
      @ ( ^ [Y0: $i,Y1: $i] :
            ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ Y0 @ Y1 ) ) )
            @ ^ [Y2: $i] :
                ( ?? @ $i
                @ ^ [Y3: $i] :
                    ( ( in @ Y3 @ Y0 )
                    & ( ?? @ $i
                      @ ^ [Y4: $i] :
                          ( ( in @ Y4 @ Y1 )
                          & ( ( ^ [Y5: $i,Y6: $i] : ( setadjoin @ ( setadjoin @ Y5 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y5 @ ( setadjoin @ Y6 @ emptyset ) ) @ emptyset ) )
                              @ Y3
                              @ Y4 )
                            = Y2 ) ) ) ) ) )
        @ sK0
        @ sK1 ) ) ),
    inference(definition_unfolding,[],[f748,f588,f751]) ).

thf(f899,plain,
    ( $true
   != ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) )
      @ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) )
        @ ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( in @ Y1 @ sK0 )
                & ( ?? @ $i
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ sK1 )
                      & ( ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) )
                        = Y0 ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f898]) ).

thf(f900,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( in @ Y0 @ Y2 )
                   => ( !! @ $i
                      @ ^ [Y3: $i] :
                          ( ( in @ Y3 @ Y1 )
                         => ( in
                            @ ( ^ [Y4: $i,Y5: $i] : ( setadjoin @ ( setadjoin @ Y4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y4 @ ( setadjoin @ Y5 @ emptyset ) ) @ emptyset ) )
                              @ Y0
                              @ Y3 )
                            @ ( powerset @ ( powerset @ ( binunion @ Y2 @ Y1 ) ) ) ) ) ) ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f897]) ).

thf(f901,plain,
    ! [X1: $i] :
      ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( in @ X1 @ Y1 )
               => ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y0 )
                     => ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f900]) ).

thf(f902,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( in @ X1 @ Y1 )
               => ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y0 )
                     => ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ Y1 @ Y0 ) ) ) ) ) ) ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f901]) ).

thf(f903,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( in @ X1 @ Y0 )
           => ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ X2 )
                 => ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ Y0 @ X2 ) ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f902]) ).

thf(f904,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( in @ X1 @ Y0 )
           => ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ X2 )
                 => ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ Y0 @ X2 ) ) ) ) ) ) )
        @ X3 ) ),
    inference(pi_proxy_clausification,[],[f903]) ).

thf(f905,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( $true
      = ( ( in @ X1 @ X3 )
       => ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ X2 )
             => ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X3 @ X2 ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f904]) ).

thf(f906,plain,
    ! [X2: $i,X3: $i,X1: $i] :
      ( ( ( in @ X1 @ X3 )
        = $false )
      | ( $true
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ X2 )
             => ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X3 @ X2 ) ) ) ) ) ) ) ),
    inference(imp_proxy_clausification,[],[f905]) ).

thf(f907,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ( ( in @ X1 @ X3 )
        = $false )
      | ( $true
        = ( ^ [Y0: $i] :
              ( ( in @ Y0 @ X2 )
             => ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X3 @ X2 ) ) ) ) )
          @ X4 ) ) ),
    inference(pi_proxy_clausification,[],[f906]) ).

thf(f908,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ( ( in @ X1 @ X3 )
        = $false )
      | ( $true
        = ( ( in @ X4 @ X2 )
         => ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X3 @ X2 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f907]) ).

thf(f909,plain,
    ! [X2: $i,X3: $i,X1: $i,X4: $i] :
      ( ( $true
        = ( in @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ X3 @ X2 ) ) ) ) )
      | ( ( in @ X4 @ X2 )
        = $false )
      | ( ( in @ X1 @ X3 )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f908]) ).

thf(f2235,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( !! @ ( $i > $o )
            @ ^ [Y1: $i > $o] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( in @ Y0 @ Y2 )
                   => ( ( Y1 @ Y0 )
                     => ( in @ Y0
                        @ ( dsetconstr @ Y2
                          @ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f764]) ).

thf(f2236,plain,
    ! [X1: $i] :
      ( $true
      = ( !! @ ( $i > $o )
        @ ^ [Y0: $i > $o] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( in @ X1 @ Y1 )
               => ( ( Y0 @ X1 )
                 => ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f2235]) ).

thf(f2237,plain,
    ! [X2: $i > $o,X1: $i] :
      ( $true
      = ( ^ [Y0: $i > $o] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( in @ X1 @ Y1 )
               => ( ( Y0 @ X1 )
                 => ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) ) ) ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f2236]) ).

thf(f2238,plain,
    ! [X2: $i > $o,X1: $i] :
      ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( in @ X1 @ Y0 )
           => ( ( X2 @ X1 )
             => ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f2237]) ).

thf(f2239,plain,
    ! [X2: $i > $o,X3: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( in @ X1 @ Y0 )
           => ( ( X2 @ X1 )
             => ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) ) ) )
        @ X3 ) ),
    inference(pi_proxy_clausification,[],[f2238]) ).

thf(f2240,plain,
    ! [X2: $i > $o,X3: $i,X1: $i] :
      ( $true
      = ( ( in @ X1 @ X3 )
       => ( ( X2 @ X1 )
         => ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f2239]) ).

thf(f2241,plain,
    ! [X2: $i > $o,X3: $i,X1: $i] :
      ( ( ( in @ X1 @ X3 )
        = $false )
      | ( $true
        = ( ( X2 @ X1 )
         => ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) ) ) ),
    inference(imp_proxy_clausification,[],[f2240]) ).

thf(f2242,plain,
    ! [X2: $i > $o,X3: $i,X1: $i] :
      ( ( $true
        = ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) )
      | ( $false
        = ( X2 @ X1 ) )
      | ( ( in @ X1 @ X3 )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f2241]) ).

thf(f4848,definition,
    ( spl80_24
  <=> ( $false
      = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl80_24])],[avatar_definition]) ).

thf(f4850,plain,
    ( ( $false
      = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) )
    | ~ spl80_24 ),
    inference(avatar_component_clause,[],[f4848]) ).

thf(f4852,definition,
    ( spl80_25
  <=> ! [X2: $i,X1: $i] :
        ( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) )
         != ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) )
        | ( $false
          = ( in @ X2 @ sK1 ) )
        | ( $false
          = ( in @ X1 @ sK0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl80_25])],[avatar_definition]) ).

thf(f4853,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) )
         != ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) )
        | ( $false
          = ( in @ X2 @ sK1 ) )
        | ( $false
          = ( in @ X1 @ sK0 ) ) )
    | ~ spl80_25 ),
    inference(avatar_component_clause,[],[f4852]) ).

thf(f17682,plain,
    ( ( $true != $true )
    | ( $false
      = ( ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( in @ Y1 @ sK0 )
                & ( ?? @ $i
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ sK1 )
                      & ( ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) )
                        = Y0 ) ) ) ) )
        @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) ) )
    | ( $false
      = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) ) ),
    inference(constrained_superposition,[],[f899,f2242]) ).

thf(f17732,plain,
    ( ( $false
      = ( ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( in @ Y1 @ sK0 )
                & ( ?? @ $i
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ sK1 )
                      & ( ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ emptyset ) )
                        = Y0 ) ) ) ) )
        @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) ) )
    | ( $false
      = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f17682]) ).

thf(f17733,plain,
    ( ( $false
      = ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( in @ Y0 @ sK0 )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ sK1 )
                  & ( ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
                    = ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) )
    | ( $false
      = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f17732]) ).

thf(f17734,plain,
    ! [X1: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ( in @ Y0 @ sK0 )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( in @ Y1 @ sK1 )
                    & ( ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
                      = ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) ) ) ) )
          @ X1 ) )
      | ( $false
        = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) ) ),
    inference(pi_proxy_clausification,[],[f17733]) ).

thf(f17735,plain,
    ! [X1: $i] :
      ( ( $false
        = ( ( in @ X1 @ sK0 )
          & ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( in @ Y0 @ sK1 )
                & ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) )
                  = ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) ) ) ) ) )
      | ( $false
        = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f17734]) ).

thf(f17736,plain,
    ! [X1: $i] :
      ( ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ sK1 )
              & ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) )
                = ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) ) ) ) )
      | ( $false
        = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) )
      | ( $false
        = ( in @ X1 @ sK0 ) ) ),
    inference(and_proxy_clausification,[],[f17735]) ).

thf(f17737,plain,
    ! [X2: $i,X1: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ( in @ Y0 @ sK1 )
              & ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) )
                = ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) ) )
          @ X2 ) )
      | ( $false
        = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) )
      | ( $false
        = ( in @ X1 @ sK0 ) ) ),
    inference(pi_proxy_clausification,[],[f17736]) ).

thf(f17738,plain,
    ! [X2: $i,X1: $i] :
      ( ( $false
        = ( ( in @ X2 @ sK1 )
          & ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) )
            = ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) ) ) )
      | ( $false
        = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) )
      | ( $false
        = ( in @ X1 @ sK0 ) ) ),
    inference(beta-eta_normalization,[],[f17737]) ).

thf(f17739,plain,
    ! [X2: $i,X1: $i] :
      ( ( $false
        = ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) )
          = ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) ) )
      | ( $false
        = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) )
      | ( $false
        = ( in @ X1 @ sK0 ) )
      | ( $false
        = ( in @ X2 @ sK1 ) ) ),
    inference(and_proxy_clausification,[],[f17738]) ).

thf(f17740,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) )
       != ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) )
      | ( $false
        = ( in @ ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK3 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sK0 @ sK1 ) ) ) ) )
      | ( $false
        = ( in @ X1 @ sK0 ) )
      | ( $false
        = ( in @ X2 @ sK1 ) ) ),
    inference(equality_proxy_clausification,[],[f17739]) ).

thf(f17742,plain,
    ( spl80_24
    | spl80_25 ),
    inference(avatar_split_clause,[],[f17740,f4852,f4848]) ).

thf(f313321,plain,
    ( ( $false = $true )
    | ( $false
      = ( in @ sK3 @ sK1 ) )
    | ( $false
      = ( in @ sK2 @ sK0 ) )
    | ~ spl80_24 ),
    inference(constrained_superposition,[],[f909,f4850]) ).

thf(f313322,plain,
    ( ( $false
      = ( in @ sK3 @ sK1 ) )
    | ( $false
      = ( in @ sK2 @ sK0 ) )
    | ~ spl80_24 ),
    inference(trivial_inequality_removal,[],[f313321]) ).

thf(f313573,plain,
    ( ( $false = $true )
    | ( $false
      = ( in @ sK3 @ sK1 ) )
    | ~ spl80_24 ),
    inference(forward_demodulation,[],[f313322,f746]) ).

thf(f313574,plain,
    ( ( $false
      = ( in @ sK3 @ sK1 ) )
    | ~ spl80_24 ),
    inference(trivial_inequality_removal,[],[f313573]) ).

thf(f368165,plain,
    ( ( $false
      = ( in @ sK3 @ sK1 ) )
    | ( $false
      = ( in @ sK2 @ sK0 ) )
    | ~ spl80_25 ),
    inference(equality_resolution,[],[f4853]) ).

thf(f368166,plain,
    ( ( $false = $true )
    | ( $false
      = ( in @ sK3 @ sK1 ) )
    | ~ spl80_25 ),
    inference(forward_demodulation,[],[f368165,f746]) ).

thf(f368167,plain,
    ( ( $false
      = ( in @ sK3 @ sK1 ) )
    | ~ spl80_25 ),
    inference(trivial_inequality_removal,[],[f368166]) ).

thf(f371013,plain,
    ( ( $false = $true )
    | ~ spl80_24 ),
    inference(constrained_superposition,[],[f313574,f747]) ).

thf(f371183,plain,
    ( $false
    | ~ spl80_24 ),
    inference(trivial_inequality_removal,[],[f371013]) ).

thf(f371184,plain,
    ~ spl80_24,
    inference(avatar_contradiction_clause,[],[f371183]) ).

thf(f371520,plain,
    ( ( $false = $true )
    | ~ spl80_25 ),
    inference(constrained_superposition,[],[f368167,f747]) ).

thf(f371690,plain,
    ( $false
    | ~ spl80_25 ),
    inference(trivial_inequality_removal,[],[f371520]) ).

thf(f371691,plain,
    ~ spl80_25,
    inference(avatar_contradiction_clause,[],[f371690]) ).

cnf(s101,plain,
    ( spl80_24
    | spl80_25 ),
    inference(sat_conversion,[],[f17742]) ).

cnf(s509,plain,
    ~ spl80_24,
    inference(sat_conversion,[],[f371184]) ).

cnf(s526,plain,
    ~ spl80_25,
    inference(sat_conversion,[],[f371691]) ).

cnf(s546,plain,
    $false,
    inference(rat,[],[s101,s526,s509]) ).

thf(f371698,plain,
    $false,
    inference(avatar_sat_refutation,[],[s546]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU630^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19  % Computer : n015.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Tue Sep 29 14:03:44 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23  Running first-order model finding
% 0.10/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.94/0.93  % (3571997)Will run a generic schedule for satisfiability detection.
% 3.94/0.93  % (3572010)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2679641590:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.94/0.93  % (3572007)% WARNING: option uhcvi not known.
% 3.94/0.93  % (3572006)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3027514691_2999 on theBenchmark for (2999ds/0Mi)
% 3.94/0.93  % (3572007)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3376917147:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.94/0.93  % (3572008)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=59417713:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.94/0.93  % (3572010)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.94/0.93  % (3572009)dis+10_1_sil=32000:sp=arity:random_seed=2411954201:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.94/0.93  % (3572011)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=371918618:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.94/0.93  % (3572012)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=473535389:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.94/0.93  % (3572007)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.94/0.93  % (3572010)Instruction limit reached! 
% 3.94/0.93  % (3572010)------------------------------
% 3.94/0.93  % (3572010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.93  % (3572010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.93  % (3572010)CaDiCaL version: 2.1.3
% 3.94/0.93  % (3572010)Termination reason: Instruction limit
% 3.94/0.93  % (3572010)Termination phase: Saturation
% 3.94/0.93  % (3572010)Time elapsed: 0.028 s
% 3.94/0.93  % (3572010)Peak memory usage: 13 MB
% 3.94/0.93  % (3572010)Instructions burned: 117 (million)
% 3.94/0.93  % (3572007)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.94/0.93  % Exception at run slice level
% 3.94/0.93  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.94/0.93  % (3572022)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1980495838:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.94/0.93  % (3572009)Instruction limit reached! 
% 3.94/0.93  % (3572009)------------------------------
% 3.94/0.93  % (3572009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.93  % (3572009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.93  % (3572009)CaDiCaL version: 2.1.3
% 3.94/0.93  % (3572009)Termination reason: Instruction limit
% 3.94/0.93  % (3572009)Termination phase: Saturation
% 3.94/0.93  % (3572023)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2139868319:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.94/0.93  % (3572009)Time elapsed: 0.044 s
% 3.94/0.93  % (3572009)Peak memory usage: 13 MB
% 3.94/0.93  % (3572009)Instructions burned: 103 (million)
% 3.94/0.93  % Exception at run slice level
% 3.94/0.93  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.94/0.93  % (3572028)ott-21_1_sil=16000:fs=off:random_seed=2567517561:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 3.94/0.93  % (3572011)Instruction limit reached! 
% 3.94/0.93  % (3572011)------------------------------
% 3.94/0.93  % (3572011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.93  % (3572011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.93  % (3572011)CaDiCaL version: 2.1.3
% 3.94/0.93  % (3572011)Termination reason: Instruction limit
% 3.94/0.93  % (3572011)Termination phase: Saturation
% 3.94/0.93  % (3572011)Time elapsed: 0.058 s
% 3.94/0.93  % (3572011)Peak memory usage: 13 MB
% 3.94/0.93  % (3572011)Instructions burned: 131 (million)
% 3.94/0.93  % (3572027)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1769244201:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.94/0.93  % (3572012)Instruction limit reached! 
% 3.94/0.93  % (3572012)------------------------------
% 3.94/0.93  % (3572012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.93  % (3572012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.08/2.58  % (3572012)CaDiCaL version: 2.1.3
% 15.08/2.58  % (3572012)Termination reason: Instruction limit
% 15.08/2.58  % (3572012)Termination phase: Saturation
% 15.08/2.58  % (3572012)Time elapsed: 0.072 s
% 15.08/2.58  % (3572012)Peak memory usage: 14 MB
% 15.08/2.58  % (3572012)Instructions burned: 160 (million)
% 15.08/2.58  % (3572030)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3731986666:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.08/2.58  % (3572027)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.08/2.58  % (3572032)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1409128844:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 15.08/2.58  % (3572027)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 15.08/2.58  % (3572028)Instruction limit reached! 
% 15.08/2.58  % (3572028)------------------------------
% 15.08/2.58  % (3572028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.08/2.58  % (3572028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.08/2.58  % (3572028)CaDiCaL version: 2.1.3
% 15.08/2.58  % (3572028)Termination reason: Instruction limit
% 15.08/2.58  % (3572028)Termination phase: Saturation
% 15.08/2.58  % (3572028)Time elapsed: 0.044 s
% 15.08/2.58  % (3572028)Peak memory usage: 13 MB
% 15.08/2.58  % (3572028)Instructions burned: 182 (million)
% 15.08/2.58  % (3572023)Instruction limit reached! 
% 15.08/2.58  % (3572023)------------------------------
% 15.08/2.58  % (3572023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.08/2.58  % (3572023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.08/2.58  % (3572023)CaDiCaL version: 2.1.3
% 15.08/2.58  % (3572023)Termination reason: Instruction limit
% 15.08/2.58  % (3572023)Termination phase: Saturation
% 15.08/2.58  % (3572023)Time elapsed: 0.058 s
% 15.08/2.58  % (3572023)Peak memory usage: 13 MB
% 15.08/2.58  % (3572023)Instructions burned: 131 (million)
% 15.08/2.58  % (3572035)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2571269618:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 15.08/2.58  % Exception at run slice level
% 15.08/2.58  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.08/2.58  % (3572036)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1748847580:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 15.08/2.58  % (3572038)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2594479329:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 15.08/2.58  % Exception at run slice level
% 15.08/2.58  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.08/2.58  % (3572038)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.08/2.58  % (3572041)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2443891295:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 15.08/2.58  % (3572041)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.08/2.58  % (3572027)Instruction limit reached! 
% 15.08/2.58  % (3572027)------------------------------
% 15.08/2.58  % (3572027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.08/2.58  % (3572027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.08/2.58  % (3572027)CaDiCaL version: 2.1.3
% 15.08/2.58  % (3572027)Termination reason: Instruction limit
% 15.08/2.58  % (3572027)Termination phase: Saturation
% 15.08/2.58  % (3572027)Time elapsed: 0.266 s
% 15.08/2.58  % (3572027)Peak memory usage: 15 MB
% 15.08/2.58  % (3572027)Instructions burned: 685 (million)
% 15.08/2.58  % (3572030)Instruction limit reached! 
% 15.08/2.58  % (3572030)------------------------------
% 15.08/2.58  % (3572030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.08/2.58  % (3572030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.08/2.58  % (3572030)CaDiCaL version: 2.1.3
% 15.08/2.58  % (3572030)Termination reason: Instruction limit
% 15.08/2.58  % (3572030)Termination phase: Saturation
% 15.08/2.58  % (3572030)Time elapsed: 0.255 s
% 15.08/2.58  % (3572030)Peak memory usage: 14 MB
% 15.08/2.58  % (3572030)Instructions burned: 477 (million)
% 15.08/2.58  % (3572043)fmb+10_1_sil=64000:random_seed=2359272928:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 46.52/6.87  % (3572044)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=491352343:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 46.52/6.87  % (3572043)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 46.52/6.87  % Exception at run slice level
% 46.52/6.87  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.52/6.87  % Exception at run slice level
% 46.52/6.87  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.52/6.87  % (3572047)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2666382785:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 46.52/6.87  % (3572048)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1014597237:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 46.52/6.87  % (3572035)Instruction limit reached! 
% 46.52/6.87  % (3572035)------------------------------
% 46.52/6.87  % (3572035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.52/6.87  % (3572035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.52/6.87  % (3572035)CaDiCaL version: 2.1.3
% 46.52/6.87  % (3572035)Termination reason: Instruction limit
% 46.52/6.87  % (3572035)Termination phase: Saturation
% 46.52/6.87  % (3572035)Time elapsed: 0.296 s
% 46.52/6.87  % (3572035)Peak memory usage: 18 MB
% 46.52/6.87  % (3572035)Instructions burned: 1181 (million)
% 46.52/6.87  % (3572048)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 46.52/6.87  % (3572051)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3391122247:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 46.52/6.87  % Exception at run slice level
% 46.52/6.87  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.52/6.87  % (3572038)Instruction limit reached! 
% 46.52/6.87  % (3572038)------------------------------
% 46.52/6.87  % (3572038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.52/6.87  % (3572038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.52/6.87  % (3572038)CaDiCaL version: 2.1.3
% 46.52/6.87  % (3572038)Termination reason: Instruction limit
% 46.52/6.87  % (3572038)Termination phase: Saturation
% 46.52/6.87  % (3572038)Time elapsed: 0.288 s
% 46.52/6.87  % (3572038)Peak memory usage: 15 MB
% 46.52/6.87  % (3572038)Instructions burned: 692 (million)
% 46.52/6.87  % (3572051)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 46.52/6.87  % (3572051)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 46.52/6.87  % (3572053)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=151545734:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 46.52/6.87  % (3572054)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2670905985:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 46.52/6.87  % Exception at run slice level
% 46.52/6.87  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.52/6.87  % Exception at run slice level
% 46.52/6.87  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.52/6.87  % (3572057)ott-2_1_sil=16000:newcnf=on:random_seed=2435207277:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 46.52/6.87  % (3572058)ott+10_1_sil=32000:tgt=ground:random_seed=1553680214:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 46.52/6.87  % (3572057)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 46.52/6.87  % (3572041)Instruction limit reached! 
% 46.52/6.87  % (3572041)------------------------------
% 46.52/6.87  % (3572041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.52/6.87  % (3572041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.52/6.87  % (3572041)CaDiCaL version: 2.1.3
% 46.52/6.87  % (3572041)Termination reason: Instruction limit
% 46.52/6.87  % (3572041)Termination phase: Saturation
% 46.52/6.87  % (3572041)Time elapsed: 0.435 s
% 46.52/6.87  % (3572041)Peak memory usage: 17 MB
% 46.52/6.87  % (3572041)Instructions burned: 880 (million)
% 46.52/6.87  % (3572061)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=145003367:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 46.52/6.87  % Exception at run slice level
% 46.52/6.87  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 99.76/14.33  % (3572063)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3055669966:i=3512:aac=none_2993 on theBenchmark for (2993ds/3512Mi)
% 99.76/14.33  % (3572063)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 99.76/14.33  % (3572051)Instruction limit reached! 
% 99.76/14.33  % (3572051)------------------------------
% 99.76/14.33  % (3572051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.76/14.33  % (3572051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.76/14.33  % (3572051)CaDiCaL version: 2.1.3
% 99.76/14.33  % (3572051)Termination reason: Instruction limit
% 99.76/14.33  % (3572051)Termination phase: Saturation
% 99.76/14.33  % (3572051)Time elapsed: 0.364 s
% 99.76/14.33  % (3572051)Peak memory usage: 26 MB
% 99.76/14.33  % (3572051)Instructions burned: 1474 (million)
% 99.76/14.33  % (3572065)dis+21_1_sil=32000:sas=cadical:random_seed=2479703363:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 99.76/14.33  % (3572057)Instruction limit reached! 
% 99.76/14.33  % (3572057)------------------------------
% 99.76/14.33  % (3572057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.76/14.33  % (3572057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.76/14.33  % (3572057)CaDiCaL version: 2.1.3
% 99.76/14.33  % (3572057)Termination reason: Instruction limit
% 99.76/14.33  % (3572057)Termination phase: Saturation
% 99.76/14.33  % (3572057)Time elapsed: 0.311 s
% 99.76/14.33  % (3572057)Peak memory usage: 15 MB
% 99.76/14.33  % (3572057)Instructions burned: 870 (million)
% 99.76/14.33  % (3572067)ott+11_1_sil=16000:gs=on:random_seed=2938561421:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2991 on theBenchmark for (2991ds/2251Mi)
% 99.76/14.33  % (3572067)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 99.76/14.33  % (3572065)Instruction limit reached! 
% 99.76/14.33  % (3572065)------------------------------
% 99.76/14.33  % (3572065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.76/14.33  % (3572065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.76/14.33  % (3572065)CaDiCaL version: 2.1.3
% 99.76/14.33  % (3572065)Termination reason: Instruction limit
% 99.76/14.33  % (3572065)Termination phase: Saturation
% 99.76/14.33  % (3572065)Time elapsed: 0.926 s
% 99.76/14.33  % (3572065)Peak memory usage: 24 MB
% 99.76/14.33  % (3572065)Instructions burned: 3786 (million)
% 99.76/14.33  % (3572069)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1544826346:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 99.76/14.33  % (3572067)Instruction limit reached! 
% 99.76/14.33  % (3572067)------------------------------
% 99.76/14.33  % (3572067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.76/14.33  % (3572067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.76/14.33  % (3572067)CaDiCaL version: 2.1.3
% 99.76/14.33  % (3572067)Termination reason: Instruction limit
% 99.76/14.33  % (3572067)Termination phase: Saturation
% 99.76/14.33  % (3572067)Time elapsed: 0.927 s
% 99.76/14.33  % (3572067)Peak memory usage: 15 MB
% 99.76/14.33  % (3572067)Instructions burned: 2254 (million)
% 99.76/14.33  % Exception at run slice level
% 99.76/14.33  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 99.76/14.33  % (3572072)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4238025090:i=29340_2982 on theBenchmark for (2982ds/29340Mi)
% 99.76/14.33  % (3572071)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=853136382:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2982 on theBenchmark for (2982ds/4591Mi)
% 99.76/14.33  % (3572063)Instruction limit reached! 
% 99.76/14.33  % (3572063)------------------------------
% 99.76/14.33  % (3572063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.76/14.33  % (3572063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.76/14.33  % (3572063)CaDiCaL version: 2.1.3
% 99.76/14.33  % (3572063)Termination reason: Instruction limit
% 99.76/14.33  % (3572063)Termination phase: Saturation
% 99.76/14.33  % (3572063)Time elapsed: 1.617 s
% 99.76/14.33  % (3572063)Peak memory usage: 22 MB
% 99.76/14.33  % (3572063)Instructions burned: 3514 (million)
% 99.76/14.33  % (3572157)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=456558370:i=5211_2976 on theBenchmark for (2976ds/5211Mi)
% 117.36/16.82  % (3572048)Instruction limit reached! 
% 117.36/16.82  % (3572048)------------------------------
% 117.36/16.82  % (3572048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.36/16.82  % (3572048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.36/16.82  % (3572048)CaDiCaL version: 2.1.3
% 117.36/16.82  % (3572048)Termination reason: Instruction limit
% 117.36/16.82  % (3572048)Termination phase: Saturation
% 117.36/16.82  % (3572048)Time elapsed: 2.244 s
% 117.36/16.82  % (3572048)Peak memory usage: 25 MB
% 117.36/16.82  % (3572048)Instructions burned: 5132 (million)
% 117.36/16.82  % (3572238)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=533084141:i=5497:nm=2_2973 on theBenchmark for (2973ds/5497Mi)
% 117.36/16.82  % Exception at run slice level
% 117.36/16.82  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.36/16.82  % (3572251)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2516705660:fmbsr=2:i=46332_2972 on theBenchmark for (2972ds/46332Mi)
% 117.36/16.82  % Exception at run slice level
% 117.36/16.82  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.36/16.82  % (3572266)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=582493535:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 117.36/16.82  % Exception at run slice level
% 117.36/16.82  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 117.36/16.82  % (3572058)Instruction limit reached! 
% 117.36/16.82  % (3572058)------------------------------
% 117.36/16.82  % (3572058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.36/16.82  % (3572058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.36/16.82  % (3572058)CaDiCaL version: 2.1.3
% 117.36/16.82  % (3572058)Termination reason: Instruction limit
% 117.36/16.82  % (3572058)Termination phase: Saturation
% 117.36/16.82  % (3572058)Time elapsed: 2.305 s
% 117.36/16.82  % (3572058)Peak memory usage: 29 MB
% 117.36/16.82  % (3572058)Instructions burned: 5114 (million)
% 117.36/16.82  % (3572281)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=471692804:i=22565:add=on:rawr=on_2971 on theBenchmark for (2971ds/22565Mi)
% 117.36/16.82  % (3572282)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2039955549:i=8173:av=off_2971 on theBenchmark for (2971ds/8173Mi)
% 117.36/16.82  % (3572071)Instruction limit reached! 
% 117.36/16.82  % (3572071)------------------------------
% 117.36/16.82  % (3572071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.36/16.82  % (3572071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.36/16.82  % (3572071)CaDiCaL version: 2.1.3
% 117.36/16.82  % (3572071)Termination reason: Instruction limit
% 117.36/16.82  % (3572071)Termination phase: Saturation
% 117.36/16.82  % (3572071)Time elapsed: 2.089 s
% 117.36/16.82  % (3572071)Peak memory usage: 30 MB
% 117.36/16.82  % (3572071)Instructions burned: 4591 (million)
% 117.36/16.82  % (3572364)dis+10_16:1_sil=16000:random_seed=1877492918:i=9155:fsr=off_2961 on theBenchmark for (2961ds/9155Mi)
% 117.36/16.82  % (3572157)Instruction limit reached! 
% 117.36/16.82  % (3572157)------------------------------
% 117.36/16.82  % (3572157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.36/16.82  % (3572157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.36/16.82  % (3572157)CaDiCaL version: 2.1.3
% 117.36/16.82  % (3572157)Termination reason: Instruction limit
% 117.36/16.82  % (3572157)Termination phase: Saturation
% 117.36/16.82  % (3572157)Time elapsed: 2.553 s
% 117.36/16.82  % (3572157)Peak memory usage: 33 MB
% 117.36/16.82  % (3572157)Instructions burned: 5212 (million)
% 117.36/16.82  % (3572367)ott-3_8_sil=64000:random_seed=42358833:i=20139:bs=on_2950 on theBenchmark for (2950ds/20139Mi)
% 117.36/16.82  % (3572282)Instruction limit reached! 
% 117.36/16.82  % (3572282)------------------------------
% 117.36/16.82  % (3572282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.36/16.82  % (3572282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.36/16.82  % (3572282)CaDiCaL version: 2.1.3
% 117.36/16.82  % (3572282)Termination reason: Instruction limit
% 117.36/16.82  % (3572282)Termination phase: Saturation
% 117.36/16.82  % (3572282)Time elapsed: 3.746 s
% 117.36/16.82  % (3572282)Peak memory usage: 28 MB
% 117.36/16.82  % (3572282)Instructions burned: 8173 (million)
% 117.36/16.82  % (3572449)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3611172479:fmbsr=2:i=32576_2933 on theBenchmark for (2933ds/32576Mi)
% 121.53/17.45  % Exception at run slice level
% 121.53/17.45  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 121.53/17.45  % (3572457)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1105745115:i=11404_2933 on theBenchmark for (2933ds/11404Mi)
% 121.53/17.45  % (3572364)Instruction limit reached! 
% 121.53/17.45  % (3572364)------------------------------
% 121.53/17.45  % (3572364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.53/17.45  % (3572364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.53/17.45  % (3572364)CaDiCaL version: 2.1.3
% 121.53/17.45  % (3572364)Termination reason: Instruction limit
% 121.53/17.45  % (3572364)Termination phase: Saturation
% 121.53/17.45  % (3572364)Time elapsed: 4.224 s
% 121.53/17.45  % (3572364)Peak memory usage: 36 MB
% 121.53/17.45  % (3572364)Instructions burned: 9155 (million)
% 121.53/17.45  % (3572541)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2402397407:i=14134_2918 on theBenchmark for (2918ds/14134Mi)
% 121.53/17.45  % (3572541)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 121.53/17.45  % (3572281)Instruction limit reached! 
% 121.53/17.45  % (3572281)------------------------------
% 121.53/17.45  % (3572281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.53/17.45  % (3572281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.53/17.45  % (3572281)CaDiCaL version: 2.1.3
% 121.53/17.45  % (3572281)Termination reason: Instruction limit
% 121.53/17.45  % (3572281)Termination phase: Saturation
% 121.53/17.45  % (3572281)Time elapsed: 7.940 s
% 121.53/17.45  % (3572281)Peak memory usage: 24 MB
% 121.53/17.45  % (3572281)Instructions burned: 22566 (million)
% 121.53/17.45  % (3572543)dis+33_16_sil=32000:sac=on:random_seed=2596359957:i=15851:nm=0_2892 on theBenchmark for (2892ds/15851Mi)
% 121.53/17.45  % (3572457)Instruction limit reached! 
% 121.53/17.45  % (3572457)------------------------------
% 121.53/17.45  % (3572457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.53/17.45  % (3572457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.53/17.45  % (3572457)CaDiCaL version: 2.1.3
% 121.53/17.45  % (3572457)Termination reason: Instruction limit
% 121.53/17.45  % (3572457)Termination phase: Saturation
% 121.53/17.45  % (3572457)Time elapsed: 5.421 s
% 121.53/17.45  % (3572457)Peak memory usage: 51 MB
% 121.53/17.45  % (3572457)Instructions burned: 11404 (million)
% 121.53/17.45  % (3572545)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=2736649839:avsq=on:i=17627:add=on:amm=off_2878 on theBenchmark for (2878ds/17627Mi)
% 121.53/17.45  % (3572072)Instruction limit reached! 
% 121.53/17.45  % (3572072)------------------------------
% 121.53/17.45  % (3572072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.53/17.45  % (3572072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.53/17.45  % (3572072)CaDiCaL version: 2.1.3
% 121.53/17.45  % (3572072)Termination reason: Instruction limit
% 121.53/17.45  % (3572072)Termination phase: Saturation
% 121.53/17.45  % (3572072)Time elapsed: 10.397 s
% 121.53/17.45  % (3572072)Peak memory usage: 57 MB
% 121.53/17.45  % (3572072)Instructions burned: 29341 (million)
% 121.53/17.45  % (3572547)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=2233690053:s2a=on:i=53295_2877 on theBenchmark for (2877ds/53295Mi)
% 121.53/17.45  % (3572367)Instruction limit reached! 
% 121.53/17.45  % (3572367)------------------------------
% 121.53/17.45  % (3572367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.53/17.45  % (3572367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.53/17.45  % (3572367)CaDiCaL version: 2.1.3
% 121.53/17.45  % (3572367)Termination reason: Instruction limit
% 121.53/17.45  % (3572367)Termination phase: Saturation
% 121.53/17.45  % (3572367)Time elapsed: 7.467 s
% 121.53/17.45  % (3572367)Peak memory usage: 21 MB
% 121.53/17.45  % (3572367)Instructions burned: 20140 (million)
% 121.53/17.45  % (3572549)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=1364126657:i=26857:ins=20_2876 on theBenchmark for (2876ds/26857Mi)
% 121.53/17.45  % Exception at run slice level
% 121.53/17.45  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 121.53/17.45  % (3572551)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=2336102397:i=28120:bs=on:fsr=off_2875 on theBenchmark for (2875ds/28120Mi)
% 121.53/17.45  % (3572541)Instruction limit reached! 
% 121.53/17.45  % (3572541)------------------------------
% 121.53/17.45  % (3572541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.44/18.51  % (3572541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.44/18.51  % (3572541)CaDiCaL version: 2.1.3
% 129.44/18.51  % (3572541)Termination reason: Instruction limit
% 129.44/18.51  % (3572541)Termination phase: Saturation
% 129.44/18.51  % (3572541)Time elapsed: 5.930 s
% 129.44/18.51  % (3572541)Peak memory usage: 42 MB
% 129.44/18.51  % (3572541)Instructions burned: 14136 (million)
% 129.44/18.51  % (3572553)fmb+10_1_sil=256000:fmbss=7:random_seed=3663575127:fmbsr=1.6:i=182295_2858 on theBenchmark for (2858ds/182295Mi)
% 129.44/18.51  % Exception at run slice level
% 129.44/18.51  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.44/18.51  % (3572555)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=3534994045:i=44625:gsp=on_2858 on theBenchmark for (2858ds/44625Mi)
% 129.44/18.51  % (3572555)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 129.44/18.51  % (3572555)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 129.44/18.51  % Exception at run slice level
% 129.44/18.52  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.44/18.52  % (3572557)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=768471438:i=160505_2858 on theBenchmark for (2858ds/160505Mi)
% 129.44/18.52  % Exception at run slice level
% 129.44/18.52  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.44/18.52  % (3572559)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=550120934:fmbsr=1.3:i=225729_2857 on theBenchmark for (2857ds/225729Mi)
% 129.44/18.52  % Exception at run slice level
% 129.44/18.52  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.44/18.52  % (3572561)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=966062192:fmbsr=2:i=185024:ins=7_2857 on theBenchmark for (2857ds/185024Mi)
% 129.44/18.52  % Exception at run slice level
% 129.44/18.52  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.44/18.52  % (3572563)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=714688820:rtra=on_2856 on theBenchmark for (2856ds/0Mi)
% 129.44/18.52  % Exception at run slice level
% 129.44/18.52  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 129.44/18.52  % (3572565)% WARNING: option uhcvi not known.
% 129.44/18.52  % (3572565)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=476597480:i=271062:add=off:rtra=on:rawr=on_2856 on theBenchmark for (2856ds/271062Mi)
% 129.44/18.52  % (3572565)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 129.44/18.52  % (3572565)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 129.44/18.52  % (3572543)Instruction limit reached! 
% 129.44/18.52  % (3572543)------------------------------
% 129.44/18.52  % (3572543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.44/18.52  % (3572543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.44/18.52  % (3572543)CaDiCaL version: 2.1.3
% 129.44/18.52  % (3572543)Termination reason: Instruction limit
% 129.44/18.52  % (3572543)Termination phase: Saturation
% 129.44/18.52  % (3572543)Time elapsed: 5.617 s
% 129.44/18.52  % (3572543)Peak memory usage: 18 MB
% 129.44/18.52  % (3572543)Instructions burned: 15852 (million)
% 129.44/18.52  % (3572567)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=635446471:i=176048:add=on:rtra=on:rawr=on_2835 on theBenchmark for (2835ds/176048Mi)
% 129.44/18.52  % (3572008)Instruction limit reached! 
% 129.44/18.52  % (3572008)------------------------------
% 129.44/18.52  % (3572008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.44/18.52  % (3572008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.44/18.52  % (3572008)CaDiCaL version: 2.1.3
% 129.44/18.52  % (3572008)Termination reason: Instruction limit
% 129.44/18.52  % (3572008)Termination phase: Saturation
% 129.44/18.52  % (3572008)Time elapsed: 16.473 s
% 129.44/18.52  % (3572008)Peak memory usage: 28 MB
% 129.44/18.52  % (3572008)Instructions burned: 88026 (million)
% 129.44/18.52  % (3572569)dis+10_1_sil=32000:si=on:sp=arity:random_seed=1747206818:i=206:fgj=on:rtra=on_2834 on theBenchmark for (2834ds/206Mi)
% 129.44/18.52  % (3572569)Instruction limit reached! 
% 129.44/18.52  % (3572569)------------------------------
% 149.48/21.35  % (3572569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 149.48/21.35  % (3572569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.48/21.35  % (3572569)CaDiCaL version: 2.1.3
% 149.48/21.35  % (3572569)Termination reason: Instruction limit
% 149.48/21.35  % (3572569)Termination phase: Saturation
% 149.48/21.35  % (3572569)Time elapsed: 0.052 s
% 149.48/21.35  % (3572569)Peak memory usage: 14 MB
% 149.48/21.35  % (3572569)Instructions burned: 207 (million)
% 149.48/21.35  % (3572571)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=2732268642:i=232:rtra=on_2834 on theBenchmark for (2834ds/232Mi)
% 149.48/21.35  % (3572571)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 149.48/21.35  % (3572571)Instruction limit reached! 
% 149.48/21.35  % (3572571)------------------------------
% 149.48/21.35  % (3572571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 149.48/21.35  % (3572571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.48/21.35  % (3572571)CaDiCaL version: 2.1.3
% 149.48/21.35  % (3572571)Termination reason: Instruction limit
% 149.48/21.35  % (3572571)Termination phase: Saturation
% 149.48/21.35  % (3572571)Time elapsed: 0.058 s
% 149.48/21.35  % (3572571)Peak memory usage: 14 MB
% 149.48/21.35  % (3572571)Instructions burned: 234 (million)
% 149.48/21.35  % (3572573)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=2581619923:i=262:rtra=on_2833 on theBenchmark for (2833ds/262Mi)
% 149.48/21.35  % (3572573)Instruction limit reached! 
% 149.48/21.35  % (3572573)------------------------------
% 149.48/21.35  % (3572573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 149.48/21.35  % (3572573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.48/21.35  % (3572573)CaDiCaL version: 2.1.3
% 149.48/21.35  % (3572573)Termination reason: Instruction limit
% 149.48/21.35  % (3572573)Termination phase: Saturation
% 149.48/21.35  % (3572573)Time elapsed: 0.065 s
% 149.48/21.35  % (3572573)Peak memory usage: 14 MB
% 149.48/21.35  % (3572573)Instructions burned: 264 (million)
% 149.48/21.35  % (3572575)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=2972810269:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2832 on theBenchmark for (2832ds/318Mi)
% 149.48/21.35  % (3572575)Instruction limit reached! 
% 149.48/21.35  % (3572575)------------------------------
% 149.48/21.35  % (3572575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 149.48/21.35  % (3572575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.48/21.35  % (3572575)CaDiCaL version: 2.1.3
% 149.48/21.35  % (3572575)Termination reason: Instruction limit
% 149.48/21.35  % (3572575)Termination phase: Saturation
% 149.48/21.35  % (3572575)Time elapsed: 0.076 s
% 149.48/21.35  % (3572575)Peak memory usage: 14 MB
% 149.48/21.35  % (3572575)Instructions burned: 321 (million)
% 149.48/21.35  % (3572577)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:si=on:random_seed=3503248904:i=1428:nm=2:rtra=on_2831 on theBenchmark for (2831ds/1428Mi)
% 149.48/21.35  % Exception at run slice level
% 149.48/21.35  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 149.48/21.35  % (3572579)ott+32_1_sil=16000:bsd=on:si=on:sp=const_max:bce=on:random_seed=155435615:i=262:bd=preordered:rtra=on:fsd=on_2831 on theBenchmark for (2831ds/262Mi)
% 149.48/21.35  % (3572579)Instruction limit reached! 
% 149.48/21.35  % (3572579)------------------------------
% 149.48/21.35  % (3572579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 149.48/21.35  % (3572579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.48/21.35  % (3572579)CaDiCaL version: 2.1.3
% 149.48/21.35  % (3572579)Termination reason: Instruction limit
% 149.48/21.35  % (3572579)Termination phase: Saturation
% 149.48/21.35  % (3572579)Time elapsed: 0.066 s
% 149.48/21.35  % (3572579)Peak memory usage: 14 MB
% 149.48/21.35  % (3572579)Instructions burned: 265 (million)
% 149.48/21.35  % (3572582)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:si=on:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=596768848:i=1368:slsql=off:bs=unit_only:nicw=on:rtra=on:rawr=on_2830 on theBenchmark for (2830ds/1368Mi)
% 149.48/21.35  % (3572582)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 149.48/21.35  % (3572582)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 149.48/21.35  % (3572582)Instruction limit reached! 
% 149.48/21.35  % (3572582)------------------------------
% 149.48/21.35  % (3572582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.62/25.31  % (3572582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.62/25.31  % (3572582)CaDiCaL version: 2.1.3
% 177.62/25.31  % (3572582)Termination reason: Instruction limit
% 177.62/25.31  % (3572582)Termination phase: Saturation
% 177.62/25.31  % (3572582)Time elapsed: 0.281 s
% 177.62/25.31  % (3572582)Peak memory usage: 15 MB
% 177.62/25.31  % (3572582)Instructions burned: 1373 (million)
% 177.62/25.31  % (3572619)ott-21_1_sil=16000:si=on:fs=off:random_seed=3426479372:i=360:av=off:fsr=off:rtra=on_2827 on theBenchmark for (2827ds/360Mi)
% 177.62/25.31  % (3572619)Instruction limit reached! 
% 177.62/25.31  % (3572619)------------------------------
% 177.62/25.31  % (3572619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.62/25.31  % (3572619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.62/25.31  % (3572619)CaDiCaL version: 2.1.3
% 177.62/25.31  % (3572619)Termination reason: Instruction limit
% 177.62/25.31  % (3572619)Termination phase: Saturation
% 177.62/25.31  % (3572619)Time elapsed: 0.088 s
% 177.62/25.31  % (3572619)Peak memory usage: 14 MB
% 177.62/25.31  % (3572619)Instructions burned: 361 (million)
% 177.62/25.31  % (3572641)dis+10_4_sil=64000:si=on:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=23428046:i=954:bd=all:rtra=on_2826 on theBenchmark for (2826ds/954Mi)
% 177.62/25.31  % (3572641)Instruction limit reached! 
% 177.62/25.31  % (3572641)------------------------------
% 177.62/25.31  % (3572641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.62/25.31  % (3572641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.62/25.31  % (3572641)CaDiCaL version: 2.1.3
% 177.62/25.31  % (3572641)Termination reason: Instruction limit
% 177.62/25.31  % (3572641)Termination phase: Saturation
% 177.62/25.31  % (3572641)Time elapsed: 0.265 s
% 177.62/25.31  % (3572641)Peak memory usage: 15 MB
% 177.62/25.31  % (3572641)Instructions burned: 954 (million)
% 177.62/25.31  % (3572695)fmb+10_1_sil=64000:si=on:erd=off:updr=off:random_seed=625041043:fmbsr=1.3:i=1730:ins=25:rtra=on_2824 on theBenchmark for (2824ds/1730Mi)
% 177.62/25.31  % Exception at run slice level
% 177.62/25.31  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 177.62/25.31  % (3572699)ott+10_1_to=lpo:sil=64000:tgt=full:si=on:sp=arity:spb=goal_then_units:random_seed=3916113547:i=2358:rtra=on_2823 on theBenchmark for (2823ds/2358Mi)
% 177.62/25.31  % (3572545)Instruction limit reached! 
% 177.62/25.31  % (3572545)------------------------------
% 177.62/25.31  % (3572545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.62/25.31  % (3572545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.62/25.31  % (3572545)CaDiCaL version: 2.1.3
% 177.62/25.31  % (3572545)Termination reason: Instruction limit
% 177.62/25.31  % (3572545)Termination phase: Saturation
% 177.62/25.31  % (3572545)Time elapsed: 5.931 s
% 177.62/25.31  % (3572545)Peak memory usage: 18 MB
% 177.62/25.31  % (3572545)Instructions burned: 17628 (million)
% 177.62/25.31  % (3572789)fmb+10_1_sil=64000:si=on:erd=off:fmbss=14:random_seed=3322848970:i=1778:ins=1:rtra=on_2819 on theBenchmark for (2819ds/1778Mi)
% 177.62/25.31  % Exception at run slice level
% 177.62/25.31  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 177.62/25.31  % (3572805)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:si=on:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2544395803:avsq=on:s2a=on:i=1384:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rtra=on:rawr=on_2818 on theBenchmark for (2818ds/1384Mi)
% 177.62/25.31  % (3572805)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 177.62/25.31  % (3572699)Instruction limit reached! 
% 177.62/25.31  % (3572699)------------------------------
% 177.62/25.31  % (3572699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 177.62/25.31  % (3572699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 177.62/25.31  % (3572699)CaDiCaL version: 2.1.3
% 177.62/25.31  % (3572699)Termination reason: Instruction limit
% 177.62/25.31  % (3572699)Termination phase: Saturation
% 177.62/25.31  % (3572699)Time elapsed: 0.635 s
% 177.62/25.31  % (3572699)Peak memory usage: 25 MB
% 177.62/25.31  % (3572699)Instructions burned: 2359 (million)
% 177.62/25.31  % (3572843)dis-10_1_anc=none:sil=64000:si=on:spb=goal:newcnf=on:cn=on:random_seed=1204873952:i=1758:kws=inv_precedence:fsr=off:rtra=on_2817 on theBenchmark for (2817ds/1758Mi)
% 177.62/25.31  % (3572843)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 215.49/30.66  % (3572805)Instruction limit reached! 
% 215.49/30.66  % (3572805)------------------------------
% 215.49/30.66  % (3572805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.66  % (3572805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.66  % (3572805)CaDiCaL version: 2.1.3
% 215.49/30.66  % (3572805)Termination reason: Instruction limit
% 215.49/30.66  % (3572805)Termination phase: Saturation
% 215.49/30.66  % (3572805)Time elapsed: 0.603 s
% 215.49/30.66  % (3572805)Peak memory usage: 17 MB
% 215.49/30.66  % (3572805)Instructions burned: 1386 (million)
% 215.49/30.66  % (3572910)fmb+10_1_sil=64000:si=on:random_seed=1662538520:i=44122:nm=2:rtra=on:gsp=on_2812 on theBenchmark for (2812ds/44122Mi)
% 215.49/30.66  % (3572843)Instruction limit reached! 
% 215.49/30.66  % (3572843)------------------------------
% 215.49/30.66  % (3572843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.66  % (3572843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.66  % (3572843)CaDiCaL version: 2.1.3
% 215.49/30.66  % (3572843)Termination reason: Instruction limit
% 215.49/30.66  % (3572843)Termination phase: Saturation
% 215.49/30.66  % (3572843)Time elapsed: 0.485 s
% 215.49/30.66  % (3572843)Peak memory usage: 21 MB
% 215.49/30.66  % (3572843)Instructions burned: 1758 (million)
% 215.49/30.66  % (3572915)fmb+10_1_sil=16000:sas=cadical:si=on:fmbss=20:random_seed=2978520150:i=19030:nm=5:rtra=on_2812 on theBenchmark for (2812ds/19030Mi)
% 215.49/30.66  % (3572910)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 215.49/30.66  % Exception at run slice level
% 215.49/30.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 215.49/30.66  % Exception at run slice level
% 215.49/30.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 215.49/30.66  % (3572923)dis-4_1_sil=16000:drc=ordering:si=on:sp=const_frequency:sac=on:newcnf=on:random_seed=3721706018:i=10262:rtra=on_2812 on theBenchmark for (2812ds/10262Mi)
% 215.49/30.66  % (3572921)fmb+10_1_sil=64000:sas=cadical:si=on:fmbss=8:random_seed=48456516:fmbsr=1.7:i=1840:rtra=on_2812 on theBenchmark for (2812ds/1840Mi)
% 215.49/30.66  % (3572923)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 215.49/30.66  % Exception at run slice level
% 215.49/30.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 215.49/30.66  % (3572935)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:si=on:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2422439048:i=2944:ins=7:rtra=on:fdi=8:gsp=on_2811 on theBenchmark for (2811ds/2944Mi)
% 215.49/30.66  % (3572935)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 215.49/30.66  % (3572935)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 215.49/30.66  % (3572935)Instruction limit reached! 
% 215.49/30.66  % (3572935)------------------------------
% 215.49/30.66  % (3572935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.66  % (3572935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.66  % (3572935)CaDiCaL version: 2.1.3
% 215.49/30.66  % (3572935)Termination reason: Instruction limit
% 215.49/30.66  % (3572935)Termination phase: Saturation
% 215.49/30.66  % (3572935)Time elapsed: 1.356 s
% 215.49/30.66  % (3572935)Peak memory usage: 23 MB
% 215.49/30.66  % (3572935)Instructions burned: 2944 (million)
% 215.49/30.66  % (3573036)fmb+10_1_sil=16000:sas=cadical:si=on:bce=on:fmbss=77:random_seed=2956600686:i=12648:rtra=on_2797 on theBenchmark for (2797ds/12648Mi)
% 215.49/30.66  % Exception at run slice level
% 215.49/30.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 215.49/30.66  % (3573038)fmb+10_1_fmbas=function:sil=32000:sas=cadical:si=on:fmbss=16:random_seed=3993835893:fmbsr=2.30978:i=4348:rtra=on_2797 on theBenchmark for (2797ds/4348Mi)
% 215.49/30.66  % Exception at run slice level
% 215.49/30.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 215.49/30.66  % (3573040)ott-2_1_sil=16000:si=on:newcnf=on:random_seed=3801401569:avsq=on:i=1738:avsqr=1,16:kws=inv_arity_squared:rtra=on_2797 on theBenchmark for (2797ds/1738Mi)
% 215.49/30.66  % (3573040)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 215.49/30.66  % (3573040)Instruction limit reached! 
% 215.49/30.66  % (3573040)------------------------------
% 215.49/30.66  % (3573040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.66  % (3573040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.66  % (3573040)CaDiCaL version: 2.1.3
% 215.49/30.66  % (3573040)Termination reason: Instruction limit
% 215.49/30.66  % (3573040)Termination phase: Saturation
% 215.49/30.66  % (3573040)Time elapsed: 0.801 s
% 215.49/30.66  % (3573040)Peak memory usage: 18 MB
% 215.49/30.66  % (3573040)Instructions burned: 1740 (million)
% 215.49/30.66  % (3573042)ott+10_1_sil=32000:tgt=ground:si=on:random_seed=858404900:i=10228:av=off:rtra=on_2788 on theBenchmark for (2788ds/10228Mi)
% 215.49/30.66  % (3572923)Instruction limit reached! 
% 215.49/30.66  % (3572923)------------------------------
% 215.49/30.66  % (3572923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.66  % (3572923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.66  % (3572923)CaDiCaL version: 2.1.3
% 215.49/30.66  % (3572923)Termination reason: Instruction limit
% 215.49/30.66  % (3572923)Termination phase: Saturation
% 215.49/30.66  % (3572923)Time elapsed: 2.500 s
% 215.49/30.66  % (3572923)Peak memory usage: 34 MB
% 215.49/30.66  % (3572923)Instructions burned: 10262 (million)
% 215.49/30.66  % (3573044)fmb+10_1_sil=64000:sas=cadical:si=on:bce=on:rp=on:random_seed=1554526314:i=108564:rtra=on_2787 on theBenchmark for (2787ds/108564Mi)
% 215.49/30.66  % Exception at run slice level
% 215.49/30.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 215.49/30.66  % (3573046)dis-11_1_sil=16000:si=on:sp=reverse_frequency:alpa=true:random_seed=2580735195:i=7024:aac=none:rtra=on_2786 on theBenchmark for (2786ds/7024Mi)
% 215.49/30.66  % (3573046)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 215.49/30.66  % (3573046)Instruction limit reached! 
% 215.49/30.66  % (3573046)------------------------------
% 215.49/30.66  % (3573046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.66  % (3573046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.66  % (3573046)CaDiCaL version: 2.1.3
% 215.49/30.66  % (3573046)Termination reason: Instruction limit
% 215.49/30.66  % (3573046)Termination phase: Saturation
% 215.49/30.66  % (3573046)Time elapsed: 1.773 s
% 215.49/30.66  % (3573046)Peak memory usage: 31 MB
% 215.49/30.66  % (3573046)Instructions burned: 7024 (million)
% 215.49/30.66  % (3573048)dis+21_1_sil=32000:sas=cadical:si=on:random_seed=3714440610:i=7546:rtra=on:amm=off_2768 on theBenchmark for (2768ds/7546Mi)
% 215.49/30.66  % (3572551)Instruction limit reached! 
% 215.49/30.66  % (3572551)------------------------------
% 215.49/30.66  % (3572551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.66  % (3572551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.66  % (3572551)CaDiCaL version: 2.1.3
% 215.49/30.66  % (3572551)Termination reason: Instruction limit
% 215.49/30.66  % (3572551)Termination phase: Saturation
% 215.49/30.66  % (3572551)Time elapsed: 12.371 s
% 215.49/30.66  % (3572551)Peak memory usage: 57 MB
% 215.49/30.66  % (3572551)Instructions burned: 28122 (million)
% 215.49/30.66  % (3573050)ott+11_1_sil=16000:si=on:gs=on:random_seed=2436020225:s2a=on:i=4502:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:rtra=on:fsd=on_2751 on theBenchmark for (2751ds/4502Mi)
% 215.49/30.66  % (3573050)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 215.49/30.66  % (3573048)Instruction limit reached! 
% 215.49/30.66  % (3573048)------------------------------
% 215.49/30.66  % (3573048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.66  % (3573048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.66  % (3573048)CaDiCaL version: 2.1.3
% 215.49/30.66  % (3573048)Termination reason: Instruction limit
% 215.49/30.66  % (3573048)Termination phase: Saturation
% 215.49/30.66  % (3573048)Time elapsed: 1.914 s
% 215.49/30.66  % (3573048)Peak memory usage: 34 MB
% 215.49/30.66  % (3573048)Instructions burned: 7550 (million)
% 215.49/30.66  % (3573052)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:si=on:fmbss=7:random_seed=1876320211:fmbsr=1.6:i=135068:rtra=on_2749 on theBenchmark for (2749ds/135068Mi)
% 215.49/30.66  % Exception at run slice level
% 215.49/30.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 215.49/30.66  % (3573054)ott-22_32_sil=16000:tgt=full:si=on:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3335670133:avsq=on:i=9182:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:rtra=on:fdi=4_2749 on theBenchmark for (2749ds/9182Mi)
% 215.49/30.66  % (3573042)Instruction limit reached! 
% 215.49/30.66  % (3573042)------------------------------
% 215.49/30.66  % (3573042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.66  % (3573042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.66  % (3573042)CaDiCaL version: 2.1.3
% 215.49/30.66  % (3573042)Termination reason: Instruction limit
% 215.49/30.66  % (3573042)Termination phase: Saturation
% 215.49/30.66  % (3573042)Time elapsed: 4.700 s
% 215.49/30.66  % (3573042)Peak memory usage: 34 MB
% 215.49/30.66  % (3573042)Instructions burned: 10229 (million)
% 215.49/30.66  % (3573056)dis+10_64_to=lpo:sil=32000:si=on:spb=intro:urr=on:sac=on:random_seed=334804978:i=58680:rtra=on_2741 on theBenchmark for (2741ds/58680Mi)
% 215.49/30.66  % (3573050)Instruction limit reached! 
% 215.49/30.66  % (3573050)------------------------------
% 215.49/30.66  % (3573050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.66  % (3573050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.66  % (3573050)CaDiCaL version: 2.1.3
% 215.49/30.66  % (3573050)Termination reason: Instruction limit
% 215.49/30.66  % (3573050)Termination phase: Saturation
% 215.49/30.66  % (3573050)Time elapsed: 1.903 s
% 215.49/30.66  % (3573050)Peak memory usage: 18 MB
% 215.49/30.66  % (3573050)Instructions burned: 4502 (million)
% 215.49/30.66  % (3573058)dis-10_1_sil=64000:sas=cadical:si=on:cn=on:random_seed=2751480850:i=10422:rtra=on_2732 on theBenchmark for (2732ds/10422Mi)
% 215.49/30.66  % (3573054)Instruction limit reached! 
% 215.49/30.66  % (3573054)------------------------------
% 215.49/30.66  % (3573054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.66  % (3573054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.66  % (3573054)CaDiCaL version: 2.1.3
% 215.49/30.66  % (3573054)Termination reason: Instruction limit
% 215.49/30.66  % (3573054)Termination phase: Saturation
% 215.49/30.66  % (3573054)Time elapsed: 2.179 s
% 215.49/30.66  % (3573054)Peak memory usage: 33 MB
% 215.49/30.66  % (3573054)Instructions burned: 9187 (million)
% 215.49/30.66  % (3573060)fmb+10_1_sil=32000:sas=cadical:si=on:bce=on:fmbss=17:random_seed=263366848:i=10994:nm=2:rtra=on_2727 on theBenchmark for (2727ds/10994Mi)
% 215.49/30.66  % Exception at run slice level
% 215.49/30.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 215.49/30.66  % (3573062)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:si=on:fmbss=15:random_seed=750525493:fmbsr=2:i=92664:rtra=on_2727 on theBenchmark for (2727ds/92664Mi)
% 215.49/30.66  % Exception at run slice level
% 215.49/30.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 215.49/30.66  % (3573064)fmb+10_1_sil=128000:tgt=full:sas=cadical:si=on:fmbss=12:random_seed=1673840076:i=28142:rtra=on_2726 on theBenchmark for (2726ds/28142Mi)
% 215.49/30.66  % Exception at run slice level
% 215.49/30.66  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 215.49/30.66  % (3573066)dis+10_161_sil=128000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1809777717:i=45130:add=on:rtra=on:rawr=on_2726 on theBenchmark for (2726ds/45130Mi)
% 215.49/30.66  % (3572007) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3571997-3572007"...
% 215.49/30.66  % (3572007)...printing done.
% 215.49/30.66  % (3572007)Refutation found. Thanks to Tanya!
% 215.49/30.66  % SZS status Theorem for theBenchmark
% 215.49/30.66  % SZS output start Proof for theBenchmark
% See solution above
% 215.49/30.67  % (3572007)------------------------------
% 215.49/30.67  % (3572007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 215.49/30.67  % (3572007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 215.49/30.67  % (3572007)CaDiCaL version: 2.1.3
% 215.49/30.67  % (3572007)Termination reason: Refutation
% 215.49/30.67  % (3572007)Time elapsed: 30.357 s
% 215.49/30.67  % (3572007)Peak memory usage: 105 MB
% 215.49/30.67  % (3572007)Instructions burned: 66600 (million)
% 215.49/30.67  % (3571997)Success in time 30.427 s
% 215.49/30.67  % Vampire exiting
%------------------------------------------------------------------------------