TSTP Solution File: SEU659^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU659^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 03:28:55 EDT 2024

% Result   : Theorem 0.19s 0.52s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  213
% Syntax   : Number of formulae    :  228 (  10 unt; 197 typ;   0 def)
%            Number of atoms       :  704 (  51 equ;   0 cnn)
%            Maximal formula atoms :  223 (  22 avg)
%            Number of connectives : 1335 (  41   ~;  46   |; 207   &; 623   @)
%                                         (  17 <=>; 401  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  226 (  25 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   38 (  38   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  199 ( 197 usr; 181 con; 0-3 aty)
%            Number of variables   :  162 (  22   ^ 122   !;  18   ?; 162   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    in: $i > $i > $o ).

thf(decl_24,type,
    setextAx: $o ).

thf(decl_25,type,
    emptyset: $i ).

thf(decl_26,type,
    emptysetAx: $o ).

thf(decl_27,type,
    setadjoin: $i > $i > $i ).

thf(decl_28,type,
    setadjoinAx: $o ).

thf(decl_30,type,
    powersetAx: $o ).

thf(decl_31,type,
    setunion: $i > $i ).

thf(decl_32,type,
    setunionAx: $o ).

thf(decl_34,type,
    omega0Ax: $o ).

thf(decl_35,type,
    omegaSAx: $o ).

thf(decl_36,type,
    omegaIndAx: $o ).

thf(decl_37,type,
    replAx: $o ).

thf(decl_38,type,
    foundationAx: $o ).

thf(decl_39,type,
    wellorderingAx: $o ).

thf(decl_41,type,
    descrp: $o ).

thf(decl_42,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(decl_43,type,
    dsetconstrI: $o ).

thf(decl_44,type,
    dsetconstrEL: $o ).

thf(decl_45,type,
    dsetconstrER: $o ).

thf(decl_46,type,
    exuE1: $o ).

thf(decl_48,type,
    prop2setE: $o ).

thf(decl_49,type,
    emptysetE: $o ).

thf(decl_50,type,
    emptysetimpfalse: $o ).

thf(decl_51,type,
    notinemptyset: $o ).

thf(decl_52,type,
    exuE3e: $o ).

thf(decl_53,type,
    setext: $o ).

thf(decl_54,type,
    emptyI: $o ).

thf(decl_55,type,
    noeltsimpempty: $o ).

thf(decl_56,type,
    setbeta: $o ).

thf(decl_58,type,
    nonemptyE1: $o ).

thf(decl_59,type,
    nonemptyI: $o ).

thf(decl_60,type,
    nonemptyI1: $o ).

thf(decl_61,type,
    setadjoinIL: $o ).

thf(decl_62,type,
    emptyinunitempty: $o ).

thf(decl_63,type,
    setadjoinIR: $o ).

thf(decl_64,type,
    setadjoinE: $o ).

thf(decl_65,type,
    setadjoinOr: $o ).

thf(decl_66,type,
    setoftrueEq: $o ).

thf(decl_67,type,
    powersetI: $o ).

thf(decl_68,type,
    emptyinPowerset: $o ).

thf(decl_69,type,
    emptyInPowerset: $o ).

thf(decl_70,type,
    powersetE: $o ).

thf(decl_71,type,
    setunionI: $o ).

thf(decl_72,type,
    setunionE: $o ).

thf(decl_73,type,
    subPowSU: $o ).

thf(decl_74,type,
    exuE2: $o ).

thf(decl_75,type,
    nonemptyImpWitness: $o ).

thf(decl_76,type,
    uniqinunit: $o ).

thf(decl_77,type,
    notinsingleton: $o ).

thf(decl_78,type,
    eqinunit: $o ).

thf(decl_79,type,
    singletonsswitch: $o ).

thf(decl_80,type,
    upairsetE: $o ).

thf(decl_81,type,
    upairsetIL: $o ).

thf(decl_82,type,
    upairsetIR: $o ).

thf(decl_83,type,
    emptyE1: $o ).

thf(decl_84,type,
    vacuousDall: $o ).

thf(decl_85,type,
    quantDeMorgan1: $o ).

thf(decl_86,type,
    quantDeMorgan2: $o ).

thf(decl_87,type,
    quantDeMorgan3: $o ).

thf(decl_88,type,
    quantDeMorgan4: $o ).

thf(decl_89,type,
    prop2setI: $o ).

thf(decl_91,type,
    prop2set2propI: $o ).

thf(decl_92,type,
    notdexE: $o ).

thf(decl_93,type,
    notdallE: $o ).

thf(decl_94,type,
    exuI1: $o ).

thf(decl_95,type,
    exuI3: $o ).

thf(decl_96,type,
    exuI2: $o ).

thf(decl_97,type,
    inCongP: $o ).

thf(decl_98,type,
    in__Cong: $o ).

thf(decl_99,type,
    exuE3u: $o ).

thf(decl_100,type,
    exu__Cong: $o ).

thf(decl_101,type,
    emptyset__Cong: $o ).

thf(decl_102,type,
    setadjoin__Cong: $o ).

thf(decl_103,type,
    powerset__Cong: $o ).

thf(decl_104,type,
    setunion__Cong: $o ).

thf(decl_105,type,
    omega__Cong: $o ).

thf(decl_106,type,
    exuEu: $o ).

thf(decl_107,type,
    descr__Cong: $o ).

thf(decl_108,type,
    dsetconstr__Cong: $o ).

thf(decl_112,type,
    subsetI1: $o ).

thf(decl_113,type,
    eqimpsubset2: $o ).

thf(decl_114,type,
    eqimpsubset1: $o ).

thf(decl_115,type,
    subsetI2: $o ).

thf(decl_116,type,
    emptysetsubset: $o ).

thf(decl_117,type,
    subsetE: $o ).

thf(decl_118,type,
    subsetE2: $o ).

thf(decl_119,type,
    notsubsetI: $o ).

thf(decl_120,type,
    notequalI1: $o ).

thf(decl_121,type,
    notequalI2: $o ).

thf(decl_122,type,
    subsetRefl: $o ).

thf(decl_123,type,
    subsetTrans: $o ).

thf(decl_124,type,
    setadjoinSub: $o ).

thf(decl_125,type,
    setadjoinSub2: $o ).

thf(decl_126,type,
    subset2powerset: $o ).

thf(decl_127,type,
    setextsub: $o ).

thf(decl_128,type,
    subsetemptysetimpeq: $o ).

thf(decl_129,type,
    powersetI1: $o ).

thf(decl_130,type,
    powersetE1: $o ).

thf(decl_131,type,
    inPowerset: $o ).

thf(decl_132,type,
    powersetsubset: $o ).

thf(decl_133,type,
    sepInPowerset: $o ).

thf(decl_134,type,
    sepSubset: $o ).

thf(decl_136,type,
    binunionIL: $o ).

thf(decl_137,type,
    upairset2IR: $o ).

thf(decl_138,type,
    binunionIR: $o ).

thf(decl_139,type,
    binunionEcases: $o ).

thf(decl_140,type,
    binunionE: $o ).

thf(decl_141,type,
    binunionLsub: $o ).

thf(decl_142,type,
    binunionRsub: $o ).

thf(decl_144,type,
    binintersectI: $o ).

thf(decl_145,type,
    binintersectSubset5: $o ).

thf(decl_146,type,
    binintersectEL: $o ).

thf(decl_147,type,
    binintersectLsub: $o ).

thf(decl_148,type,
    binintersectSubset2: $o ).

thf(decl_149,type,
    binintersectSubset3: $o ).

thf(decl_150,type,
    binintersectER: $o ).

thf(decl_151,type,
    disjointsetsI1: $o ).

thf(decl_152,type,
    binintersectRsub: $o ).

thf(decl_153,type,
    binintersectSubset4: $o ).

thf(decl_154,type,
    binintersectSubset1: $o ).

thf(decl_155,type,
    bs114d: $o ).

thf(decl_158,type,
    setminusI: $o ).

thf(decl_159,type,
    setminusEL: $o ).

thf(decl_160,type,
    setminusER: $o ).

thf(decl_161,type,
    setminusSubset2: $o ).

thf(decl_162,type,
    setminusERneg: $o ).

thf(decl_163,type,
    setminusELneg: $o ).

thf(decl_164,type,
    setminusILneg: $o ).

thf(decl_165,type,
    setminusIRneg: $o ).

thf(decl_166,type,
    setminusLsub: $o ).

thf(decl_167,type,
    setminusSubset1: $o ).

thf(decl_169,type,
    symdiffE: $o ).

thf(decl_170,type,
    symdiffI1: $o ).

thf(decl_171,type,
    symdiffI2: $o ).

thf(decl_172,type,
    symdiffIneg1: $o ).

thf(decl_173,type,
    symdiffIneg2: $o ).

thf(decl_174,type,
    iskpair: $i > $o ).

thf(decl_175,type,
    secondinupair: $o ).

thf(decl_176,type,
    setukpairIL: $o ).

thf(decl_177,type,
    setukpairIR: $o ).

thf(decl_178,type,
    kpairiskpair: $o ).

thf(decl_179,type,
    kpair: $i > $i > $i ).

thf(decl_180,type,
    kpairp: $o ).

thf(decl_181,type,
    cartprod: $i > $i > $i ).

thf(decl_182,type,
    singletonsubset: $o ).

thf(decl_183,type,
    singletoninpowerset: $o ).

thf(decl_184,type,
    singletoninpowunion: $o ).

thf(decl_185,type,
    upairset2E: $o ).

thf(decl_186,type,
    upairsubunion: $o ).

thf(decl_187,type,
    upairinpowunion: $o ).

thf(decl_188,type,
    ubforcartprodlem1: $o ).

thf(decl_189,type,
    ubforcartprodlem2: $o ).

thf(decl_190,type,
    ubforcartprodlem3: $o ).

thf(decl_191,type,
    cartprodpairin: $o ).

thf(decl_192,type,
    cartprodmempair1: $o ).

thf(decl_193,type,
    cartprodmempair: $o ).

thf(decl_194,type,
    setunionE2: $o ).

thf(decl_195,type,
    setunionsingleton1: $o ).

thf(decl_196,type,
    setunionsingleton2: $o ).

thf(decl_197,type,
    setunionsingleton: $o ).

thf(decl_198,type,
    singleton: $i > $o ).

thf(decl_199,type,
    singletonprop: $o ).

thf(decl_201,type,
    ex1E1: $o ).

thf(decl_202,type,
    ex1I: $o ).

thf(decl_203,type,
    ex1I2: $o ).

thf(decl_204,type,
    singletonsuniq: $o ).

thf(decl_209,type,
    setukpairinjL1: $o ).

thf(decl_210,type,
    kfstsingleton: $o ).

thf(decl_211,type,
    theprop: $o ).

thf(decl_212,type,
    kfst: $i > $i ).

thf(decl_213,type,
    kfstpairEq: $o ).

thf(decl_214,type,
    cartprodfstin: $o ).

thf(decl_215,type,
    setukpairinjL2: $o ).

thf(decl_216,type,
    setukpairinjL: $o ).

thf(decl_217,type,
    setukpairinjR11: $o ).

thf(decl_218,type,
    setukpairinjR12: $o ).

thf(decl_219,type,
    setukpairinjR1: $o ).

thf(decl_220,type,
    upairequniteq: $o ).

thf(decl_221,type,
    setukpairinjR2: $o ).

thf(decl_222,type,
    setukpairinjR: $o ).

thf(decl_223,type,
    ksndsingleton: $o ).

thf(decl_224,type,
    ksnd: $i > $i ).

thf(decl_225,type,
    ksndpairEq: $o ).

thf(decl_226,type,
    kpairsurjEq: $o ).

thf(decl_227,type,
    cartprodsndin: $o ).

thf(decl_228,type,
    esk1_3: $i > $i > $i > $i ).

thf(decl_229,type,
    esk2_3: $i > $i > $i > $i ).

thf(decl_230,type,
    esk3_2: $i > ( $i > $o ) > $i ).

thf(decl_231,type,
    esk4_2: $i > ( $i > $o ) > $i ).

thf(decl_232,type,
    esk5_2: $i > ( $i > $o ) > $i ).

thf(decl_233,type,
    esk6_1: $i > $i ).

thf(decl_234,type,
    esk7_1: $i > $i ).

thf(decl_235,type,
    esk8_0: $i ).

thf(decl_236,type,
    esk9_0: $i ).

thf(decl_237,type,
    esk10_0: $i ).

thf(decl_238,type,
    esk11_0: $i ).

thf(singleton,axiom,
    ( singleton
    = ( ^ [X4: $i] :
        ? [X2: $i] :
          ( ( in @ X2 @ X4 )
          & ( X4
            = ( setadjoin @ X2 @ emptyset ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton) ).

thf(singletonprop,axiom,
    ( singletonprop
  <=> ! [X4: $i,X1: $i > $o] :
        ( ! [X2: $i] :
            ( ( in @ X2 @ X4 )
           => ! [X3: $i] :
                ( ( in @ X3 @ X4 )
               => ( ( X1 @ X2 )
                 => ( ( X1 @ X3 )
                   => ( X2 = X3 ) ) ) ) )
       => ( ? [X2: $i] :
              ( ( in @ X2 @ X4 )
              & ( X1 @ X2 ) )
         => ( singleton
            @ ( dsetconstr @ X4
              @ ^ [X2: $i] : ( X1 @ X2 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletonprop) ).

thf(ksndsingleton,axiom,
    ( ksndsingleton
  <=> ! [X18: $i] :
        ( ( iskpair @ X18 )
       => ( singleton
          @ ( dsetconstr @ ( setunion @ X18 )
            @ ^ [X2: $i] :
                ( X18
                = ( kpair @ ( kfst @ X18 ) @ X2 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ksndsingleton) ).

thf(kfstsingleton,axiom,
    ( kfstsingleton
  <=> ! [X18: $i] :
        ( ( iskpair @ X18 )
       => ( singleton
          @ ( dsetconstr @ ( setunion @ X18 )
            @ ^ [X2: $i] : ( in @ ( setadjoin @ X2 @ emptyset ) @ X18 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kfstsingleton) ).

thf(theprop,axiom,
    ( theprop
  <=> ! [X21: $i] :
        ( ( singleton @ X21 )
       => ( in @ ( setunion @ X21 ) @ X21 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theprop) ).

thf(cartprodpairmemEL,conjecture,
    ( setextAx
   => ( emptysetAx
     => ( setadjoinAx
       => ( powersetAx
         => ( setunionAx
           => ( omega0Ax
             => ( omegaSAx
               => ( omegaIndAx
                 => ( replAx
                   => ( foundationAx
                     => ( wellorderingAx
                       => ( descrp
                         => ( dsetconstrI
                           => ( dsetconstrEL
                             => ( dsetconstrER
                               => ( exuE1
                                 => ( prop2setE
                                   => ( emptysetE
                                     => ( emptysetimpfalse
                                       => ( notinemptyset
                                         => ( exuE3e
                                           => ( setext
                                             => ( emptyI
                                               => ( noeltsimpempty
                                                 => ( setbeta
                                                   => ( nonemptyE1
                                                     => ( nonemptyI
                                                       => ( nonemptyI1
                                                         => ( setadjoinIL
                                                           => ( emptyinunitempty
                                                             => ( setadjoinIR
                                                               => ( setadjoinE
                                                                 => ( setadjoinOr
                                                                   => ( setoftrueEq
                                                                     => ( powersetI
                                                                       => ( emptyinPowerset
                                                                         => ( emptyInPowerset
                                                                           => ( powersetE
                                                                             => ( setunionI
                                                                               => ( setunionE
                                                                                 => ( subPowSU
                                                                                   => ( exuE2
                                                                                     => ( nonemptyImpWitness
                                                                                       => ( uniqinunit
                                                                                         => ( notinsingleton
                                                                                           => ( eqinunit
                                                                                             => ( singletonsswitch
                                                                                               => ( upairsetE
                                                                                                 => ( upairsetIL
                                                                                                   => ( upairsetIR
                                                                                                     => ( emptyE1
                                                                                                       => ( vacuousDall
                                                                                                         => ( quantDeMorgan1
                                                                                                           => ( quantDeMorgan2
                                                                                                             => ( quantDeMorgan3
                                                                                                               => ( quantDeMorgan4
                                                                                                                 => ( prop2setI
                                                                                                                   => ( prop2set2propI
                                                                                                                     => ( notdexE
                                                                                                                       => ( notdallE
                                                                                                                         => ( exuI1
                                                                                                                           => ( exuI3
                                                                                                                             => ( exuI2
                                                                                                                               => ( inCongP
                                                                                                                                 => ( in__Cong
                                                                                                                                   => ( exuE3u
                                                                                                                                     => ( exu__Cong
                                                                                                                                       => ( emptyset__Cong
                                                                                                                                         => ( setadjoin__Cong
                                                                                                                                           => ( powerset__Cong
                                                                                                                                             => ( setunion__Cong
                                                                                                                                               => ( omega__Cong
                                                                                                                                                 => ( exuEu
                                                                                                                                                   => ( descr__Cong
                                                                                                                                                     => ( dsetconstr__Cong
                                                                                                                                                       => ( subsetI1
                                                                                                                                                         => ( eqimpsubset2
                                                                                                                                                           => ( eqimpsubset1
                                                                                                                                                             => ( subsetI2
                                                                                                                                                               => ( emptysetsubset
                                                                                                                                                                 => ( subsetE
                                                                                                                                                                   => ( subsetE2
                                                                                                                                                                     => ( notsubsetI
                                                                                                                                                                       => ( notequalI1
                                                                                                                                                                         => ( notequalI2
                                                                                                                                                                           => ( subsetRefl
                                                                                                                                                                             => ( subsetTrans
                                                                                                                                                                               => ( setadjoinSub
                                                                                                                                                                                 => ( setadjoinSub2
                                                                                                                                                                                   => ( subset2powerset
                                                                                                                                                                                     => ( setextsub
                                                                                                                                                                                       => ( subsetemptysetimpeq
                                                                                                                                                                                         => ( powersetI1
                                                                                                                                                                                           => ( powersetE1
                                                                                                                                                                                             => ( inPowerset
                                                                                                                                                                                               => ( powersetsubset
                                                                                                                                                                                                 => ( sepInPowerset
                                                                                                                                                                                                   => ( sepSubset
                                                                                                                                                                                                     => ( binunionIL
                                                                                                                                                                                                       => ( upairset2IR
                                                                                                                                                                                                         => ( binunionIR
                                                                                                                                                                                                           => ( binunionEcases
                                                                                                                                                                                                             => ( binunionE
                                                                                                                                                                                                               => ( binunionLsub
                                                                                                                                                                                                                 => ( binunionRsub
                                                                                                                                                                                                                   => ( binintersectI
                                                                                                                                                                                                                     => ( binintersectSubset5
                                                                                                                                                                                                                       => ( binintersectEL
                                                                                                                                                                                                                         => ( binintersectLsub
                                                                                                                                                                                                                           => ( binintersectSubset2
                                                                                                                                                                                                                             => ( binintersectSubset3
                                                                                                                                                                                                                               => ( binintersectER
                                                                                                                                                                                                                                 => ( disjointsetsI1
                                                                                                                                                                                                                                   => ( binintersectRsub
                                                                                                                                                                                                                                     => ( binintersectSubset4
                                                                                                                                                                                                                                       => ( binintersectSubset1
                                                                                                                                                                                                                                         => ( bs114d
                                                                                                                                                                                                                                           => ( setminusI
                                                                                                                                                                                                                                             => ( setminusEL
                                                                                                                                                                                                                                               => ( setminusER
                                                                                                                                                                                                                                                 => ( setminusSubset2
                                                                                                                                                                                                                                                   => ( setminusERneg
                                                                                                                                                                                                                                                     => ( setminusELneg
                                                                                                                                                                                                                                                       => ( setminusILneg
                                                                                                                                                                                                                                                         => ( setminusIRneg
                                                                                                                                                                                                                                                           => ( setminusLsub
                                                                                                                                                                                                                                                             => ( setminusSubset1
                                                                                                                                                                                                                                                               => ( symdiffE
                                                                                                                                                                                                                                                                 => ( symdiffI1
                                                                                                                                                                                                                                                                   => ( symdiffI2
                                                                                                                                                                                                                                                                     => ( symdiffIneg1
                                                                                                                                                                                                                                                                       => ( symdiffIneg2
                                                                                                                                                                                                                                                                         => ( secondinupair
                                                                                                                                                                                                                                                                           => ( setukpairIL
                                                                                                                                                                                                                                                                             => ( setukpairIR
                                                                                                                                                                                                                                                                               => ( kpairiskpair
                                                                                                                                                                                                                                                                                 => ( kpairp
                                                                                                                                                                                                                                                                                   => ( singletonsubset
                                                                                                                                                                                                                                                                                     => ( singletoninpowerset
                                                                                                                                                                                                                                                                                       => ( singletoninpowunion
                                                                                                                                                                                                                                                                                         => ( upairset2E
                                                                                                                                                                                                                                                                                           => ( upairsubunion
                                                                                                                                                                                                                                                                                             => ( upairinpowunion
                                                                                                                                                                                                                                                                                               => ( ubforcartprodlem1
                                                                                                                                                                                                                                                                                                 => ( ubforcartprodlem2
                                                                                                                                                                                                                                                                                                   => ( ubforcartprodlem3
                                                                                                                                                                                                                                                                                                     => ( cartprodpairin
                                                                                                                                                                                                                                                                                                       => ( cartprodmempair1
                                                                                                                                                                                                                                                                                                         => ( cartprodmempair
                                                                                                                                                                                                                                                                                                           => ( setunionE2
                                                                                                                                                                                                                                                                                                             => ( setunionsingleton1
                                                                                                                                                                                                                                                                                                               => ( setunionsingleton2
                                                                                                                                                                                                                                                                                                                 => ( setunionsingleton
                                                                                                                                                                                                                                                                                                                   => ( singletonprop
                                                                                                                                                                                                                                                                                                                     => ( ex1E1
                                                                                                                                                                                                                                                                                                                       => ( ex1I
                                                                                                                                                                                                                                                                                                                         => ( ex1I2
                                                                                                                                                                                                                                                                                                                           => ( singletonsuniq
                                                                                                                                                                                                                                                                                                                             => ( setukpairinjL1
                                                                                                                                                                                                                                                                                                                               => ( kfstsingleton
                                                                                                                                                                                                                                                                                                                                 => ( theprop
                                                                                                                                                                                                                                                                                                                                   => ( kfstpairEq
                                                                                                                                                                                                                                                                                                                                     => ( cartprodfstin
                                                                                                                                                                                                                                                                                                                                       => ( setukpairinjL2
                                                                                                                                                                                                                                                                                                                                         => ( setukpairinjL
                                                                                                                                                                                                                                                                                                                                           => ( setukpairinjR11
                                                                                                                                                                                                                                                                                                                                             => ( setukpairinjR12
                                                                                                                                                                                                                                                                                                                                               => ( setukpairinjR1
                                                                                                                                                                                                                                                                                                                                                 => ( upairequniteq
                                                                                                                                                                                                                                                                                                                                                   => ( setukpairinjR2
                                                                                                                                                                                                                                                                                                                                                     => ( setukpairinjR
                                                                                                                                                                                                                                                                                                                                                       => ( ksndsingleton
                                                                                                                                                                                                                                                                                                                                                         => ( ksndpairEq
                                                                                                                                                                                                                                                                                                                                                           => ( kpairsurjEq
                                                                                                                                                                                                                                                                                                                                                             => ( cartprodsndin
                                                                                                                                                                                                                                                                                                                                                               => ! [X4: $i,X5: $i,X2: $i,X3: $i] :
                                                                                                                                                                                                                                                                                                                                                                    ( ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X4 @ X5 ) )
                                                                                                                                                                                                                                                                                                                                                                   => ( in @ X2 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodpairmemEL) ).

thf(cartprodpairin,axiom,
    ( cartprodpairin
  <=> ! [X4: $i,X5: $i,X2: $i] :
        ( ( in @ X2 @ X4 )
       => ! [X3: $i] :
            ( ( in @ X3 @ X5 )
           => ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X4 @ X5 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodpairin) ).

thf(ksndpairEq,axiom,
    ( ksndpairEq
  <=> ! [X2: $i,X3: $i] :
        ( ( ksnd @ ( kpair @ X2 @ X3 ) )
        = X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ksndpairEq) ).

thf(kfstpairEq,axiom,
    ( kfstpairEq
  <=> ! [X2: $i,X3: $i] :
        ( ( kfst @ ( kpair @ X2 @ X3 ) )
        = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kfstpairEq) ).

thf(kpairsurjEq,axiom,
    ( kpairsurjEq
  <=> ! [X18: $i] :
        ( ( iskpair @ X18 )
       => ( ( kpair @ ( kfst @ X18 ) @ ( ksnd @ X18 ) )
          = X18 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kpairsurjEq) ).

thf(kpairp,axiom,
    ( kpairp
  <=> ! [X2: $i,X3: $i] : ( iskpair @ ( kpair @ X2 @ X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kpairp) ).

thf(kpairiskpair,axiom,
    ( kpairiskpair
  <=> ! [X2: $i,X3: $i] : ( iskpair @ ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kpairiskpair) ).

thf(cartprodsndin,axiom,
    ( cartprodsndin
  <=> ! [X4: $i,X5: $i,X18: $i] :
        ( ( in @ X18 @ ( cartprod @ X4 @ X5 ) )
       => ( in @ ( ksnd @ X18 ) @ X5 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodsndin) ).

thf(cartprodfstin,axiom,
    ( cartprodfstin
  <=> ! [X4: $i,X5: $i,X18: $i] :
        ( ( in @ X18 @ ( cartprod @ X4 @ X5 ) )
       => ( in @ ( kfst @ X18 ) @ X4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodfstin) ).

thf(cartprodmempair,axiom,
    ( cartprodmempair
  <=> ! [X4: $i,X5: $i,X18: $i] :
        ( ( in @ X18 @ ( cartprod @ X4 @ X5 ) )
       => ( iskpair @ X18 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodmempair) ).

thf(cartprodmempair1,axiom,
    ( cartprodmempair1
  <=> ! [X4: $i,X5: $i,X18: $i] :
        ( ( in @ X18 @ ( cartprod @ X4 @ X5 ) )
       => ? [X2: $i] :
            ( ( in @ X2 @ X4 )
            & ? [X3: $i] :
                ( ( in @ X3 @ X5 )
                & ( X18
                  = ( kpair @ X2 @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodmempair1) ).

thf(c_0_16,plain,
    ( singleton
    = ( ^ [Z0: $i] :
        ? [X2: $i] :
          ( ( in @ X2 @ Z0 )
          & ( Z0
            = ( setadjoin @ X2 @ emptyset ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[singleton]) ).

thf(c_0_17,plain,
    ( singletonprop
  <=> ! [X4: $i,X1: $i > $o] :
        ( ! [X2: $i] :
            ( ( in @ X2 @ X4 )
           => ! [X3: $i] :
                ( ( in @ X3 @ X4 )
               => ( ( X1 @ X2 )
                 => ( ( X1 @ X3 )
                   => ( X2 = X3 ) ) ) ) )
       => ( ? [X2: $i] :
              ( ( in @ X2 @ X4 )
              & ( X1 @ X2 ) )
         => ( singleton
            @ ( dsetconstr @ X4
              @ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[singletonprop]) ).

thf(c_0_18,plain,
    ( ksndsingleton
  <=> ! [X18: $i] :
        ( ( iskpair @ X18 )
       => ( singleton
          @ ( dsetconstr @ ( setunion @ X18 )
            @ ^ [Z0: $i] :
                ( X18
                = ( kpair @ ( kfst @ X18 ) @ Z0 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[ksndsingleton]) ).

thf(c_0_19,plain,
    ( kfstsingleton
  <=> ! [X18: $i] :
        ( ( iskpair @ X18 )
       => ( singleton
          @ ( dsetconstr @ ( setunion @ X18 )
            @ ^ [Z0: $i] : ( in @ ( setadjoin @ Z0 @ emptyset ) @ X18 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[kfstsingleton]) ).

thf(c_0_20,axiom,
    ( theprop
    = ( ! [X21: $i] :
          ( ? [X64: $i] :
              ( ( in @ X64 @ X21 )
              & ( X21
                = ( setadjoin @ X64 @ emptyset ) ) )
         => ( in @ ( setunion @ X21 ) @ X21 ) ) ) ),
    inference(apply_def,[status(thm)],[theprop,c_0_16]) ).

thf(c_0_21,plain,
    ( singletonprop
    = ( ! [X4: $i,X1: $i > $o] :
          ( ! [X2: $i] :
              ( ( in @ X2 @ X4 )
             => ! [X3: $i] :
                  ( ( in @ X3 @ X4 )
                 => ( ( X1 @ X2 )
                   => ( ( X1 @ X3 )
                     => ( X2 = X3 ) ) ) ) )
         => ( ? [X2: $i] :
                ( ( in @ X2 @ X4 )
                & ( X1 @ X2 ) )
           => ? [X61: $i] :
                ( ( in @ X61
                  @ ( dsetconstr @ X4
                    @ ^ [Z0: $i] : ( X1 @ Z0 ) ) )
                & ( ( dsetconstr @ X4
                    @ ^ [Z0: $i] : ( X1 @ Z0 ) )
                  = ( setadjoin @ X61 @ emptyset ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_17,c_0_16]) ).

thf(c_0_22,plain,
    ( ksndsingleton
    = ( ! [X18: $i] :
          ( ( iskpair @ X18 )
         => ? [X65: $i] :
              ( ( in @ X65
                @ ( dsetconstr @ ( setunion @ X18 )
                  @ ^ [Z0: $i] :
                      ( X18
                      = ( kpair @ ( kfst @ X18 ) @ Z0 ) ) ) )
              & ( ( dsetconstr @ ( setunion @ X18 )
                  @ ^ [Z0: $i] :
                      ( X18
                      = ( kpair @ ( kfst @ X18 ) @ Z0 ) ) )
                = ( setadjoin @ X65 @ emptyset ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_18,c_0_16]) ).

thf(c_0_23,plain,
    ( kfstsingleton
    = ( ! [X18: $i] :
          ( ( iskpair @ X18 )
         => ? [X63: $i] :
              ( ( in @ X63
                @ ( dsetconstr @ ( setunion @ X18 )
                  @ ^ [Z0: $i] : ( in @ ( setadjoin @ Z0 @ emptyset ) @ X18 ) ) )
              & ( ( dsetconstr @ ( setunion @ X18 )
                  @ ^ [Z0: $i] : ( in @ ( setadjoin @ Z0 @ emptyset ) @ X18 ) )
                = ( setadjoin @ X63 @ emptyset ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_19,c_0_16]) ).

thf(c_0_24,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
                                                                                                                                                                                                                                                                                 => ( ! [X66: $i,X67: $i] : ( iskpair @ ( setadjoin @ ( setadjoin @ X66 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X66 @ ( setadjoin @ X67 @ emptyset ) ) @ emptyset ) ) )
                                                                                                                                                                                                                                                                                   => ( ! [X68: $i,X69: $i] : ( iskpair @ ( kpair @ X68 @ X69 ) )
                                                                                                                                                                                                                                                                                     => ( singletonsubset
                                                                                                                                                                                                                                                                                       => ( singletoninpowerset
                                                                                                                                                                                                                                                                                         => ( singletoninpowunion
                                                                                                                                                                                                                                                                                           => ( upairset2E
                                                                                                                                                                                                                                                                                             => ( upairsubunion
                                                                                                                                                                                                                                                                                               => ( upairinpowunion
                                                                                                                                                                                                                                                                                                 => ( ubforcartprodlem1
                                                                                                                                                                                                                                                                                                   => ( ubforcartprodlem2
                                                                                                                                                                                                                                                                                                     => ( ubforcartprodlem3
                                                                                                                                                                                                                                                                                                       => ( ! [X70: $i,X71: $i,X72: $i] :
                                                                                                                                                                                                                                                                                                              ( ( in @ X72 @ X70 )
                                                                                                                                                                                                                                                                                                             => ! [X73: $i] :
                                                                                                                                                                                                                                                                                                                  ( ( in @ X73 @ X71 )
                                                                                                                                                                                                                                                                                                                 => ( in @ ( kpair @ X72 @ X73 ) @ ( cartprod @ X70 @ X71 ) ) ) )
                                                                                                                                                                                                                                                                                                         => ( ! [X74: $i,X75: $i,X76: $i] :
                                                                                                                                                                                                                                                                                                                ( ( in @ X76 @ ( cartprod @ X74 @ X75 ) )
                                                                                                                                                                                                                                                                                                               => ? [X77: $i] :
                                                                                                                                                                                                                                                                                                                    ( ( in @ X77 @ X74 )
                                                                                                                                                                                                                                                                                                                    & ? [X78: $i] :
                                                                                                                                                                                                                                                                                                                        ( ( in @ X78 @ X75 )
                                                                                                                                                                                                                                                                                                                        & ( X76
                                                                                                                                                                                                                                                                                                                          = ( kpair @ X77 @ X78 ) ) ) ) )
                                                                                                                                                                                                                                                                                                           => ( ! [X79: $i,X80: $i,X81: $i] :
                                                                                                                                                                                                                                                                                                                  ( ( in @ X81 @ ( cartprod @ X79 @ X80 ) )
                                                                                                                                                                                                                                                                                                                 => ( iskpair @ X81 ) )
                                                                                                                                                                                                                                                                                                             => ( setunionE2
                                                                                                                                                                                                                                                                                                               => ( setunionsingleton1
                                                                                                                                                                                                                                                                                                                 => ( setunionsingleton2
                                                                                                                                                                                                                                                                                                                   => ( setunionsingleton
                                                                                                                                                                                                                                                                                                                     => ( ! [X82: $i,X83: $i > $o] :
                                                                                                                                                                                                                                                                                                                            ( ! [X84: $i] :
                                                                                                                                                                                                                                                                                                                                ( ( in @ X84 @ X82 )
                                                                                                                                                                                                                                                                                                                               => ! [X85: $i] :
                                                                                                                                                                                                                                                                                                                                    ( ( in @ X85 @ X82 )
                                                                                                                                                                                                                                                                                                                                   => ( ( X83 @ X84 )
                                                                                                                                                                                                                                                                                                                                     => ( ( X83 @ X85 )
                                                                                                                                                                                                                                                                                                                                       => ( X84 = X85 ) ) ) ) )
                                                                                                                                                                                                                                                                                                                           => ( ? [X86: $i] :
                                                                                                                                                                                                                                                                                                                                  ( ( in @ X86 @ X82 )
                                                                                                                                                                                                                                                                                                                                  & ( X83 @ X86 ) )
                                                                                                                                                                                                                                                                                                                             => ? [X87: $i] :
                                                                                                                                                                                                                                                                                                                                  ( ( in @ X87 @ ( dsetconstr @ X82 @ X83 ) )
                                                                                                                                                                                                                                                                                                                                  & ( ( dsetconstr @ X82 @ X83 )
                                                                                                                                                                                                                                                                                                                                    = ( setadjoin @ X87 @ emptyset ) ) ) ) )
                                                                                                                                                                                                                                                                                                                       => ( ex1E1
                                                                                                                                                                                                                                                                                                                         => ( ex1I
                                                                                                                                                                                                                                                                                                                           => ( ex1I2
                                                                                                                                                                                                                                                                                                                             => ( singletonsuniq
                                                                                                                                                                                                                                                                                                                               => ( setukpairinjL1
                                                                                                                                                                                                                                                                                                                                 => ( ! [X88: $i] :
                                                                                                                                                                                                                                                                                                                                        ( ( iskpair @ X88 )
                                                                                                                                                                                                                                                                                                                                       => ? [X89: $i] :
                                                                                                                                                                                                                                                                                                                                            ( ( in @ X89
                                                                                                                                                                                                                                                                                                                                              @ ( dsetconstr @ ( setunion @ X88 )
                                                                                                                                                                                                                                                                                                                                                @ ^ [Z0: $i] : ( in @ ( setadjoin @ Z0 @ emptyset ) @ X88 ) ) )
                                                                                                                                                                                                                                                                                                                                            & ( ( dsetconstr @ ( setunion @ X88 )
                                                                                                                                                                                                                                                                                                                                                @ ^ [Z0: $i] : ( in @ ( setadjoin @ Z0 @ emptyset ) @ X88 ) )
                                                                                                                                                                                                                                                                                                                                              = ( setadjoin @ X89 @ emptyset ) ) ) )
                                                                                                                                                                                                                                                                                                                                   => ( ! [X90: $i] :
                                                                                                                                                                                                                                                                                                                                          ( ? [X91: $i] :
                                                                                                                                                                                                                                                                                                                                              ( ( in @ X91 @ X90 )
                                                                                                                                                                                                                                                                                                                                              & ( X90
                                                                                                                                                                                                                                                                                                                                                = ( setadjoin @ X91 @ emptyset ) ) )
                                                                                                                                                                                                                                                                                                                                         => ( in @ ( setunion @ X90 ) @ X90 ) )
                                                                                                                                                                                                                                                                                                                                     => ( ! [X92: $i,X93: $i] :
                                                                                                                                                                                                                                                                                                                                            ( ( kfst @ ( kpair @ X92 @ X93 ) )
                                                                                                                                                                                                                                                                                                                                            = X92 )
                                                                                                                                                                                                                                                                                                                                       => ( ! [X94: $i,X95: $i,X96: $i] :
                                                                                                                                                                                                                                                                                                                                              ( ( in @ X96 @ ( cartprod @ X94 @ X95 ) )
                                                                                                                                                                                                                                                                                                                                             => ( in @ ( kfst @ X96 ) @ X94 ) )
                                                                                                                                                                                                                                                                                                                                         => ( setukpairinjL2
                                                                                                                                                                                                                                                                                                                                           => ( setukpairinjL
                                                                                                                                                                                                                                                                                                                                             => ( setukpairinjR11
                                                                                                                                                                                                                                                                                                                                               => ( setukpairinjR12
                                                                                                                                                                                                                                                                                                                                                 => ( setukpairinjR1
                                                                                                                                                                                                                                                                                                                                                   => ( upairequniteq
                                                                                                                                                                                                                                                                                                                                                     => ( setukpairinjR2
                                                                                                                                                                                                                                                                                                                                                       => ( setukpairinjR
                                                                                                                                                                                                                                                                                                                                                         => ( ! [X97: $i] :
                                                                                                                                                                                                                                                                                                                                                                ( ( iskpair @ X97 )
                                                                                                                                                                                                                                                                                                                                                               => ? [X98: $i] :
                                                                                                                                                                                                                                                                                                                                                                    ( ( in @ X98
                                                                                                                                                                                                                                                                                                                                                                      @ ( dsetconstr @ ( setunion @ X97 )
                                                                                                                                                                                                                                                                                                                                                                        @ ^ [Z0: $i] :
                                                                                                                                                                                                                                                                                                                                                                            ( X97
                                                                                                                                                                                                                                                                                                                                                                            = ( kpair @ ( kfst @ X97 ) @ Z0 ) ) ) )
                                                                                                                                                                                                                                                                                                                                                                    & ( ( dsetconstr @ ( setunion @ X97 )
                                                                                                                                                                                                                                                                                                                                                                        @ ^ [Z0: $i] :
                                                                                                                                                                                                                                                                                                                                                                            ( X97
                                                                                                                                                                                                                                                                                                                                                                            = ( kpair @ ( kfst @ X97 ) @ Z0 ) ) )
                                                                                                                                                                                                                                                                                                                                                                      = ( setadjoin @ X98 @ emptyset ) ) ) )
                                                                                                                                                                                                                                                                                                                                                           => ( ! [X99: $i,X100: $i] :
                                                                                                                                                                                                                                                                                                                                                                  ( ( ksnd @ ( kpair @ X99 @ X100 ) )
                                                                                                                                                                                                                                                                                                                                                                  = X100 )
                                                                                                                                                                                                                                                                                                                                                             => ( ! [X101: $i] :
                                                                                                                                                                                                                                                                                                                                                                    ( ( iskpair @ X101 )
                                                                                                                                                                                                                                                                                                                                                                   => ( ( kpair @ ( kfst @ X101 ) @ ( ksnd @ X101 ) )
                                                                                                                                                                                                                                                                                                                                                                      = X101 ) )
                                                                                                                                                                                                                                                                                                                                                               => ( ! [X102: $i,X103: $i,X104: $i] :
                                                                                                                                                                                                                                                                                                                                                                      ( ( in @ X104 @ ( cartprod @ X102 @ X103 ) )
                                                                                                                                                                                                                                                                                                                                                                     => ( in @ ( ksnd @ X104 ) @ X103 ) )
                                                                                                                                                                                                                                                                                                                                                                 => ! [X4: $i,X5: $i,X2: $i,X3: $i] :
                                                                                                                                                                                                                                                                                                                                                                      ( ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X4 @ X5 ) )
                                                                                                                                                                                                                                                                                                                                                                     => ( in @ X2 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cartprodpairmemEL]),cartprodpairin]),c_0_20]),c_0_21]),ksndpairEq]),kfstpairEq]),kpairsurjEq]),c_0_22]),c_0_23]),kpairp]),kpairiskpair]),cartprodsndin]),cartprodfstin]),cartprodmempair]),cartprodmempair1])]) ).

thf(c_0_25,negated_conjecture,
    ! [X105: $i,X106: $i,X107: $i,X108: $i,X109: $i,X110: $i,X111: $i,X112: $i,X113: $i,X114: $i,X115: $i,X118: $i,X119: $i,X120: $i,X121: $i,X122: $i > $o,X125: $i,X127: $i,X129: $i,X130: $i,X131: $i,X132: $i,X133: $i,X134: $i,X135: $i,X136: $i,X138: $i,X139: $i,X140: $i,X141: $i,X142: $i,X143: $i] :
      ( setextAx
      & emptysetAx
      & setadjoinAx
      & powersetAx
      & setunionAx
      & omega0Ax
      & omegaSAx
      & omegaIndAx
      & replAx
      & foundationAx
      & wellorderingAx
      & descrp
      & dsetconstrI
      & dsetconstrEL
      & dsetconstrER
      & exuE1
      & prop2setE
      & emptysetE
      & emptysetimpfalse
      & notinemptyset
      & exuE3e
      & setext
      & emptyI
      & noeltsimpempty
      & setbeta
      & 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
      & ( iskpair @ ( setadjoin @ ( setadjoin @ X105 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X105 @ ( setadjoin @ X106 @ emptyset ) ) @ emptyset ) ) )
      & ( iskpair @ ( kpair @ X107 @ X108 ) )
      & singletonsubset
      & singletoninpowerset
      & singletoninpowunion
      & upairset2E
      & upairsubunion
      & upairinpowunion
      & ubforcartprodlem1
      & ubforcartprodlem2
      & ubforcartprodlem3
      & ( ~ ( in @ X111 @ X109 )
        | ~ ( in @ X112 @ X110 )
        | ( in @ ( kpair @ X111 @ X112 ) @ ( cartprod @ X109 @ X110 ) ) )
      & ( ( in @ ( esk1_3 @ X113 @ X114 @ X115 ) @ X113 )
        | ~ ( in @ X115 @ ( cartprod @ X113 @ X114 ) ) )
      & ( ( in @ ( esk2_3 @ X113 @ X114 @ X115 ) @ X114 )
        | ~ ( in @ X115 @ ( cartprod @ X113 @ X114 ) ) )
      & ( ( X115
          = ( kpair @ ( esk1_3 @ X113 @ X114 @ X115 ) @ ( esk2_3 @ X113 @ X114 @ X115 ) ) )
        | ~ ( in @ X115 @ ( cartprod @ X113 @ X114 ) ) )
      & ( ~ ( in @ X120 @ ( cartprod @ X118 @ X119 ) )
        | ( iskpair @ X120 ) )
      & setunionE2
      & setunionsingleton1
      & setunionsingleton2
      & setunionsingleton
      & ( ( in @ ( esk5_2 @ X121 @ X122 ) @ ( dsetconstr @ X121 @ X122 ) )
        | ~ ( in @ X125 @ X121 )
        | ~ ( X122 @ X125 )
        | ( in @ ( esk3_2 @ X121 @ X122 ) @ X121 ) )
      & ( ( ( dsetconstr @ X121 @ X122 )
          = ( setadjoin @ ( esk5_2 @ X121 @ X122 ) @ emptyset ) )
        | ~ ( in @ X125 @ X121 )
        | ~ ( X122 @ X125 )
        | ( in @ ( esk3_2 @ X121 @ X122 ) @ X121 ) )
      & ( ( in @ ( esk5_2 @ X121 @ X122 ) @ ( dsetconstr @ X121 @ X122 ) )
        | ~ ( in @ X125 @ X121 )
        | ~ ( X122 @ X125 )
        | ( in @ ( esk4_2 @ X121 @ X122 ) @ X121 ) )
      & ( ( ( dsetconstr @ X121 @ X122 )
          = ( setadjoin @ ( esk5_2 @ X121 @ X122 ) @ emptyset ) )
        | ~ ( in @ X125 @ X121 )
        | ~ ( X122 @ X125 )
        | ( in @ ( esk4_2 @ X121 @ X122 ) @ X121 ) )
      & ( ( in @ ( esk5_2 @ X121 @ X122 ) @ ( dsetconstr @ X121 @ X122 ) )
        | ~ ( in @ X125 @ X121 )
        | ~ ( X122 @ X125 )
        | ( X122 @ ( esk3_2 @ X121 @ X122 ) ) )
      & ( ( ( dsetconstr @ X121 @ X122 )
          = ( setadjoin @ ( esk5_2 @ X121 @ X122 ) @ emptyset ) )
        | ~ ( in @ X125 @ X121 )
        | ~ ( X122 @ X125 )
        | ( X122 @ ( esk3_2 @ X121 @ X122 ) ) )
      & ( ( in @ ( esk5_2 @ X121 @ X122 ) @ ( dsetconstr @ X121 @ X122 ) )
        | ~ ( in @ X125 @ X121 )
        | ~ ( X122 @ X125 )
        | ( X122 @ ( esk4_2 @ X121 @ X122 ) ) )
      & ( ( ( dsetconstr @ X121 @ X122 )
          = ( setadjoin @ ( esk5_2 @ X121 @ X122 ) @ emptyset ) )
        | ~ ( in @ X125 @ X121 )
        | ~ ( X122 @ X125 )
        | ( X122 @ ( esk4_2 @ X121 @ X122 ) ) )
      & ( ( in @ ( esk5_2 @ X121 @ X122 ) @ ( dsetconstr @ X121 @ X122 ) )
        | ~ ( in @ X125 @ X121 )
        | ~ ( X122 @ X125 )
        | ( ( esk3_2 @ X121 @ X122 )
         != ( esk4_2 @ X121 @ X122 ) ) )
      & ( ( ( dsetconstr @ X121 @ X122 )
          = ( setadjoin @ ( esk5_2 @ X121 @ X122 ) @ emptyset ) )
        | ~ ( in @ X125 @ X121 )
        | ~ ( X122 @ X125 )
        | ( ( esk3_2 @ X121 @ X122 )
         != ( esk4_2 @ X121 @ X122 ) ) )
      & ex1E1
      & ex1I
      & ex1I2
      & singletonsuniq
      & setukpairinjL1
      & ( ( in @ ( esk6_1 @ X127 )
          @ ( dsetconstr @ ( setunion @ X127 )
            @ ^ [Z0: $i] : ( in @ ( setadjoin @ Z0 @ emptyset ) @ X127 ) ) )
        | ~ ( iskpair @ X127 ) )
      & ( ( ( dsetconstr @ ( setunion @ X127 )
            @ ^ [Z0: $i] : ( in @ ( setadjoin @ Z0 @ emptyset ) @ X127 ) )
          = ( setadjoin @ ( esk6_1 @ X127 ) @ emptyset ) )
        | ~ ( iskpair @ X127 ) )
      & ( ~ ( in @ X130 @ X129 )
        | ( X129
         != ( setadjoin @ X130 @ emptyset ) )
        | ( in @ ( setunion @ X129 ) @ X129 ) )
      & ( ( kfst @ ( kpair @ X131 @ X132 ) )
        = X131 )
      & ( ~ ( in @ X135 @ ( cartprod @ X133 @ X134 ) )
        | ( in @ ( kfst @ X135 ) @ X133 ) )
      & setukpairinjL2
      & setukpairinjL
      & setukpairinjR11
      & setukpairinjR12
      & setukpairinjR1
      & upairequniteq
      & setukpairinjR2
      & setukpairinjR
      & ( ( in @ ( esk7_1 @ X136 )
          @ ( dsetconstr @ ( setunion @ X136 )
            @ ^ [Z0: $i] :
                ( X136
                = ( kpair @ ( kfst @ X136 ) @ Z0 ) ) ) )
        | ~ ( iskpair @ X136 ) )
      & ( ( ( dsetconstr @ ( setunion @ X136 )
            @ ^ [Z0: $i] :
                ( X136
                = ( kpair @ ( kfst @ X136 ) @ Z0 ) ) )
          = ( setadjoin @ ( esk7_1 @ X136 ) @ emptyset ) )
        | ~ ( iskpair @ X136 ) )
      & ( ( ksnd @ ( kpair @ X138 @ X139 ) )
        = X139 )
      & ( ~ ( iskpair @ X140 )
        | ( ( kpair @ ( kfst @ X140 ) @ ( ksnd @ X140 ) )
          = X140 ) )
      & ( ~ ( in @ X143 @ ( cartprod @ X141 @ X142 ) )
        | ( in @ ( ksnd @ X143 ) @ X142 ) )
      & ( in @ ( kpair @ esk10_0 @ esk11_0 ) @ ( cartprod @ esk8_0 @ esk9_0 ) )
      & ~ ( in @ esk10_0 @ esk8_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])]) ).

thf(c_0_26,negated_conjecture,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ( in @ ( kfst @ X2 ) @ X3 )
      | ~ ( in @ X2 @ ( cartprod @ X3 @ X4 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

thf(c_0_27,negated_conjecture,
    in @ ( kpair @ esk10_0 @ esk11_0 ) @ ( cartprod @ esk8_0 @ esk9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

thf(c_0_28,negated_conjecture,
    ! [X3: $i,X2: $i] :
      ( ( kfst @ ( kpair @ X2 @ X3 ) )
      = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

thf(c_0_29,negated_conjecture,
    ~ ( in @ esk10_0 @ esk8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

thf(c_0_30,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU659^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 18:10:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running higher-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  # Version: 3.1.0-ho
% 0.19/0.52  # Preprocessing class: HSLMSLSSLLLCHFA.
% 0.19/0.52  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52  # Starting ehoh_best5 with 300s (1) cores
% 0.19/0.52  # Starting almost_fo_3_lam with 300s (1) cores
% 0.19/0.52  # Starting new_bool_5 with 300s (1) cores
% 0.19/0.52  # Starting pre_casc_3 with 300s (1) cores
% 0.19/0.52  # Starting ho_unfolding_8 with 300s (1) cores
% 0.19/0.52  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.19/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52  # Starting new_ho_5 with 300s (1) cores
% 0.19/0.52  # new_ho_5 with pid 30748 completed with status 0
% 0.19/0.52  # Result found by new_ho_5
% 0.19/0.52  # Preprocessing class: HSLMSLSSLLLCHFA.
% 0.19/0.52  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52  # Starting ehoh_best5 with 300s (1) cores
% 0.19/0.52  # Starting almost_fo_3_lam with 300s (1) cores
% 0.19/0.52  # Starting new_bool_5 with 300s (1) cores
% 0.19/0.52  # Starting pre_casc_3 with 300s (1) cores
% 0.19/0.52  # Starting ho_unfolding_8 with 300s (1) cores
% 0.19/0.52  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.19/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52  # Starting new_ho_5 with 300s (1) cores
% 0.19/0.52  # SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true)
% 0.19/0.52  # Search class: HGUSM-FFMM31-MHFMMFBN
% 0.19/0.52  # partial match(2): HGUSM-FFMS31-MHFMMMBN
% 0.19/0.52  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.52  # Starting new_ho_10 with 163s (1) cores
% 0.19/0.52  # new_ho_10 with pid 30749 completed with status 0
% 0.19/0.52  # Result found by new_ho_10
% 0.19/0.52  # Preprocessing class: HSLMSLSSLLLCHFA.
% 0.19/0.52  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52  # Starting ehoh_best5 with 300s (1) cores
% 0.19/0.52  # Starting almost_fo_3_lam with 300s (1) cores
% 0.19/0.52  # Starting new_bool_5 with 300s (1) cores
% 0.19/0.52  # Starting pre_casc_3 with 300s (1) cores
% 0.19/0.52  # Starting ho_unfolding_8 with 300s (1) cores
% 0.19/0.52  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.19/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52  # Starting new_ho_5 with 300s (1) cores
% 0.19/0.52  # SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true)
% 0.19/0.52  # Search class: HGUSM-FFMM31-MHFMMFBN
% 0.19/0.52  # partial match(2): HGUSM-FFMS31-MHFMMMBN
% 0.19/0.52  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.52  # Starting new_ho_10 with 163s (1) cores
% 0.19/0.52  # Preprocessing time       : 0.003 s
% 0.19/0.52  # Presaturation interreduction done
% 0.19/0.52  
% 0.19/0.52  # Proof found!
% 0.19/0.52  # SZS status Theorem
% 0.19/0.52  # SZS output start CNFRefutation
% See solution above
% 0.19/0.52  # Parsed axioms                        : 386
% 0.19/0.52  # Removed by relevancy pruning/SinE    : 369
% 0.19/0.52  # Initial clauses                      : 194
% 0.19/0.52  # Removed in clause preprocessing      : 0
% 0.19/0.52  # Initial clauses in saturation        : 194
% 0.19/0.52  # Processed clauses                    : 375
% 0.19/0.52  # ...of these trivial                  : 0
% 0.19/0.52  # ...subsumed                          : 1
% 0.19/0.52  # ...remaining for further processing  : 374
% 0.19/0.52  # Other redundant clauses eliminated   : 1
% 0.19/0.52  # Clauses deleted for lack of memory   : 0
% 0.19/0.52  # Backward-subsumed                    : 0
% 0.19/0.52  # Backward-rewritten                   : 0
% 0.19/0.52  # Generated clauses                    : 20
% 0.19/0.52  # ...of the previous two non-redundant : 9
% 0.19/0.52  # ...aggressively subsumed             : 0
% 0.19/0.52  # Contextual simplify-reflections      : 0
% 0.19/0.52  # Paramodulations                      : 19
% 0.19/0.52  # Factorizations                       : 0
% 0.19/0.52  # NegExts                              : 0
% 0.19/0.52  # Equation resolutions                 : 1
% 0.19/0.52  # Disequality decompositions           : 0
% 0.19/0.52  # Total rewrite steps                  : 8
% 0.19/0.52  # ...of those cached                   : 3
% 0.19/0.52  # Propositional unsat checks           : 0
% 0.19/0.52  #    Propositional check models        : 0
% 0.19/0.52  #    Propositional check unsatisfiable : 0
% 0.19/0.52  #    Propositional clauses             : 0
% 0.19/0.52  #    Propositional clauses after purity: 0
% 0.19/0.52  #    Propositional unsat core size     : 0
% 0.19/0.52  #    Propositional preprocessing time  : 0.000
% 0.19/0.52  #    Propositional encoding time       : 0.000
% 0.19/0.52  #    Propositional solver time         : 0.000
% 0.19/0.52  #    Success case prop preproc time    : 0.000
% 0.19/0.52  #    Success case prop encoding time   : 0.000
% 0.19/0.52  #    Success case prop solver time     : 0.000
% 0.19/0.52  # Current number of processed clauses  : 179
% 0.19/0.52  #    Positive orientable unit clauses  : 167
% 0.19/0.52  #    Positive unorientable unit clauses: 0
% 0.19/0.52  #    Negative unit clauses             : 1
% 0.19/0.52  #    Non-unit-clauses                  : 11
% 0.19/0.52  # Current number of unprocessed clauses: 22
% 0.19/0.52  # ...number of literals in the above   : 65
% 0.19/0.52  # Current number of archived formulas  : 0
% 0.19/0.52  # Current number of archived clauses   : 194
% 0.19/0.52  # Clause-clause subsumption calls (NU) : 203
% 0.19/0.52  # Rec. Clause-clause subsumption calls : 94
% 0.19/0.52  # Non-unit clause-clause subsumptions  : 1
% 0.19/0.52  # Unit Clause-clause subsumption calls : 0
% 0.19/0.52  # Rewrite failures with RHS unbound    : 0
% 0.19/0.52  # BW rewrite match attempts            : 0
% 0.19/0.52  # BW rewrite match successes           : 0
% 0.19/0.52  # Condensation attempts                : 375
% 0.19/0.52  # Condensation successes               : 0
% 0.19/0.52  # Termbank termtop insertions          : 12904
% 0.19/0.52  # Search garbage collected termcells   : 4907
% 0.19/0.52  
% 0.19/0.52  # -------------------------------------------------
% 0.19/0.52  # User time                : 0.021 s
% 0.19/0.52  # System time              : 0.005 s
% 0.19/0.52  # Total time               : 0.026 s
% 0.19/0.52  # Maximum resident set size: 3400 pages
% 0.19/0.52  
% 0.19/0.52  # -------------------------------------------------
% 0.19/0.52  # User time                : 0.031 s
% 0.19/0.52  # System time              : 0.007 s
% 0.19/0.52  # Total time               : 0.038 s
% 0.19/0.52  # Maximum resident set size: 2164 pages
% 0.19/0.52  % E---3.1 exiting
% 0.19/0.52  % E exiting
%------------------------------------------------------------------------------