TSTP Solution File: SEU525^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU525^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 03:27:57 EDT 2024

% Result   : Theorem 0.16s 0.48s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  123
% Syntax   : Number of formulae    :  153 (  17 unt;  77 typ;   0 def)
%            Number of atoms       :  558 (  93 equ;   0 cnn)
%            Maximal formula atoms :  154 (   7 avg)
%            Number of connectives : 1867 ( 131   ~; 142   |; 126   &;1156   @)
%                                         (  71 <=>; 241  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  175 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  118 ( 118   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   80 (  77 usr;  47 con; 0-3 aty)
%            Number of variables   :  443 (  39   ^ 351   !;  53   ?; 443   :)

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

thf(decl_23,type,
    exu: ( $i > $o ) > $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_29,type,
    powerset: $i > $i ).

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

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

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

thf(decl_33,type,
    omega: $i ).

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_40,type,
    descr: ( $i > $o ) > $i ).

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_47,type,
    prop2set: $o > $i ).

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

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

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

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

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

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

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

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

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

thf(decl_57,type,
    nonempty: $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(decl_74,type,
    epred1_0: $o ).

thf(decl_75,type,
    esk1_2: $i > $i > $i ).

thf(decl_76,type,
    esk2_2: $i > $i > $i ).

thf(decl_77,type,
    esk3_2: $i > $i > $i ).

thf(decl_78,type,
    esk4_1: $i > $i ).

thf(decl_79,type,
    esk5_2: ( $i > $i > $o ) > $i > $i ).

thf(decl_80,type,
    esk6_3: ( $i > $i > $o ) > $i > $i > $i ).

thf(decl_81,type,
    esk7_2: ( $i > $i > $o ) > $i > $i ).

thf(decl_82,type,
    esk8_3: ( $i > $i > $o ) > $i > $i > $i ).

thf(decl_83,type,
    esk9_1: $i > $i ).

thf(decl_84,type,
    esk10_2: ( $i > $o ) > $i > $i ).

thf(decl_85,type,
    esk11_2: ( $i > $o ) > $i > $i ).

thf(decl_86,type,
    esk12_1: ( $i > $o ) > $i ).

thf(decl_87,type,
    esk13_2: ( $i > $o ) > $i > $i ).

thf(decl_88,type,
    esk14_1: ( $i > $o ) > $i ).

thf(decl_89,type,
    esk15_2: $i > $i > $i ).

thf(decl_90,type,
    esk16_2: $i > $i > $i ).

thf(decl_91,type,
    esk17_1: $i > $i ).

thf(decl_92,type,
    esk18_1: $i > $i ).

thf(decl_93,type,
    esk19_1: $i > $i ).

thf(decl_94,type,
    esk20_2: $i > $i > $i ).

thf(decl_95,type,
    esk21_3: $i > $i > $o > $i ).

thf(decl_96,type,
    epred2_0: $i > $o ).

thf(decl_97,type,
    esk22_0: $i ).

thf(decl_98,type,
    esk23_1: $i > $i ).

thf(exuE3e,axiom,
    ( exuE3e
  <=> ! [X1: $i > $o] :
        ( ( exu
          @ ^ [X2: $i] : ( X1 @ X2 ) )
       => ? [X2: $i] : ( X1 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE3e) ).

thf(exu,axiom,
    ( exu
    = ( ^ [X1: $i > $o] :
        ? [X2: $i] :
          ( ( X1 @ X2 )
          & ! [X3: $i] :
              ( ( X1 @ X3 )
             => ( X2 = X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exu) ).

thf(exuE1,axiom,
    ( exuE1
  <=> ! [X1: $i > $o] :
        ( ( exu
          @ ^ [X2: $i] : ( X1 @ X2 ) )
       => ? [X2: $i] :
            ( ( X1 @ X2 )
            & ! [X3: $i] :
                ( ( X1 @ X3 )
               => ( X2 = X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE1) ).

thf(replAx,axiom,
    ( replAx
  <=> ! [X6: $i > $i > $o,X4: $i] :
        ( ! [X2: $i] :
            ( ( in @ X2 @ X4 )
           => ( exu
              @ ^ [X3: $i] : ( X6 @ X2 @ X3 ) ) )
       => ? [X5: $i] :
          ! [X2: $i] :
            ( ( in @ X2 @ X5 )
          <=> ? [X3: $i] :
                ( ( in @ X3 @ X4 )
                & ( X6 @ X3 @ X2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',replAx) ).

thf(prop2set,axiom,
    ( prop2set
    = ( ^ [X10: $o] :
          ( dsetconstr @ ( powerset @ emptyset )
          @ ^ [X2: $i] : X10 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2set) ).

thf(nonempty,axiom,
    ( nonempty
    = ( ^ [X2: $i] : ( X2 != emptyset ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonempty) ).

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

thf(descrp,axiom,
    ( descrp
  <=> ! [X1: $i > $o] :
        ( ( exu
          @ ^ [X2: $i] : ( X1 @ X2 ) )
       => ( X1
          @ ( descr
            @ ^ [X2: $i] : ( X1 @ X2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',descrp) ).

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

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

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

thf(prop2setE,axiom,
    ( prop2setE
  <=> ! [X11: $o,X2: $i] :
        ( ( in @ X2 @ ( prop2set @ X11 ) )
       => X11 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2setE) ).

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

thf(nonemptyE1,axiom,
    ( nonemptyE1
  <=> ! [X4: $i] :
        ( ( nonempty @ X4 )
       => ? [X2: $i] : ( in @ X2 @ X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyE1) ).

thf(nonemptyI1,axiom,
    ( nonemptyI1
  <=> ! [X4: $i] :
        ( ? [X2: $i] : ( in @ X2 @ X4 )
       => ( nonempty @ X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyI1) ).

thf(setoftrueEq,axiom,
    ( setoftrueEq
  <=> ! [X4: $i] :
        ( ( dsetconstr @ X4
          @ ^ [X2: $i] : $true )
        = X4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setoftrueEq) ).

thf(exuE2,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
                                                                                   => ! [X1: $i > $o] :
                                                                                        ( ( exu
                                                                                          @ ^ [X2: $i] : ( X1 @ X2 ) )
                                                                                       => ? [X2: $i] :
                                                                                          ! [X3: $i] :
                                                                                            ( ( X1 @ X3 )
                                                                                          <=> ( X3 = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE2) ).

thf(emptyInPowerset,axiom,
    ( emptyInPowerset
  <=> ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyInPowerset) ).

thf(powersetE,axiom,
    ( powersetE
  <=> ! [X4: $i,X5: $i,X2: $i] :
        ( ( in @ X5 @ ( powerset @ X4 ) )
       => ( ( in @ X2 @ X5 )
         => ( in @ X2 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetE) ).

thf(setunionI,axiom,
    ( setunionI
  <=> ! [X4: $i,X2: $i,X5: $i] :
        ( ( in @ X2 @ X5 )
       => ( ( in @ X5 @ X4 )
         => ( in @ X2 @ ( setunion @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionI) ).

thf(setunionE,axiom,
    ( setunionE
  <=> ! [X4: $i,X2: $i] :
        ( ( in @ X2 @ ( setunion @ X4 ) )
       => ! [X14: $o] :
            ( ! [X5: $i] :
                ( ( in @ X2 @ X5 )
               => ( ( in @ X5 @ X4 )
                 => X14 ) )
           => X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionE) ).

thf(subPowSU,axiom,
    ( subPowSU
  <=> ! [X4: $i,X2: $i] :
        ( ( in @ X2 @ X4 )
       => ( in @ X2 @ ( powerset @ ( setunion @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subPowSU) ).

thf(emptysetE,axiom,
    ( emptysetE
  <=> ! [X2: $i] :
        ( ( in @ X2 @ emptyset )
       => ! [X12: $o] : X12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE) ).

thf(emptysetimpfalse,axiom,
    ( emptysetimpfalse
  <=> ! [X2: $i] :
        ( ( in @ X2 @ emptyset )
       => ~ $true ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetimpfalse) ).

thf(notinemptyset,axiom,
    ( notinemptyset
  <=> ! [X2: $i] :
        ~ ( in @ X2 @ emptyset ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinemptyset) ).

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

thf(emptyI,axiom,
    ( emptyI
  <=> ! [X4: $i] :
        ( ! [X2: $i] :
            ~ ( in @ X2 @ X4 )
       => ( X4 = emptyset ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyI) ).

thf(noeltsimpempty,axiom,
    ( noeltsimpempty
  <=> ! [X4: $i] :
        ( ! [X2: $i] :
            ~ ( in @ X2 @ X4 )
       => ( X4 = emptyset ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',noeltsimpempty) ).

thf(setadjoinIL,axiom,
    ( setadjoinIL
  <=> ! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X2 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIL) ).

thf(emptyinunitempty,axiom,
    ( emptyinunitempty
  <=> ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinunitempty) ).

thf(setadjoinIR,axiom,
    ( setadjoinIR
  <=> ! [X2: $i,X4: $i,X3: $i] :
        ( ( in @ X3 @ X4 )
       => ( in @ X3 @ ( setadjoin @ X2 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIR) ).

thf(setadjoinE,axiom,
    ( setadjoinE
  <=> ! [X2: $i,X4: $i,X3: $i] :
        ( ( in @ X3 @ ( setadjoin @ X2 @ X4 ) )
       => ! [X13: $o] :
            ( ( ( X3 = X2 )
             => X13 )
           => ( ( ( in @ X3 @ X4 )
               => X13 )
             => X13 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinE) ).

thf(setadjoinOr,axiom,
    ( setadjoinOr
  <=> ! [X2: $i,X4: $i,X3: $i] :
        ( ( in @ X3 @ ( setadjoin @ X2 @ X4 ) )
       => ( ( X3 = X2 )
          | ( in @ X3 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinOr) ).

thf(powersetI,axiom,
    ( powersetI
  <=> ! [X4: $i,X5: $i] :
        ( ! [X2: $i] :
            ( ( in @ X2 @ X5 )
           => ( in @ X2 @ X4 ) )
       => ( in @ X5 @ ( powerset @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetI) ).

thf(emptyinPowerset,axiom,
    ( emptyinPowerset
  <=> ! [X4: $i] : ( in @ emptyset @ ( powerset @ X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinPowerset) ).

thf(wellorderingAx,axiom,
    ( wellorderingAx
  <=> ! [X4: $i] :
      ? [X5: $i] :
        ( ! [X7: $i] :
            ( ( in @ X7 @ X5 )
           => ! [X2: $i] :
                ( ( in @ X2 @ X7 )
               => ( in @ X2 @ X4 ) ) )
        & ! [X2: $i,X3: $i] :
            ( ( ( in @ X2 @ X4 )
              & ( in @ X3 @ X4 ) )
           => ( ! [X7: $i] :
                  ( ( in @ X7 @ X5 )
                 => ( ( in @ X2 @ X7 )
                  <=> ( in @ X3 @ X7 ) ) )
             => ( X2 = X3 ) ) )
        & ! [X7: $i,X8: $i] :
            ( ( ( in @ X7 @ X5 )
              & ( in @ X8 @ X5 ) )
           => ( ! [X2: $i] :
                  ( ( in @ X2 @ X7 )
                 => ( in @ X2 @ X8 ) )
              | ! [X2: $i] :
                  ( ( in @ X2 @ X8 )
                 => ( in @ X2 @ X7 ) ) ) )
        & ! [X7: $i] :
            ( ( ! [X2: $i] :
                  ( ( in @ X2 @ X7 )
                 => ( in @ X2 @ X4 ) )
              & ? [X2: $i] : ( in @ X2 @ X7 ) )
           => ? [X8: $i,X2: $i] :
                ( ( in @ X8 @ X5 )
                & ( in @ X2 @ X7 )
                & ~ ? [X3: $i] :
                      ( ( in @ X3 @ X8 )
                      & ( in @ X3 @ X7 ) )
                & ! [X9: $i] :
                    ( ( in @ X9 @ X5 )
                   => ( ! [X3: $i] :
                          ( ( in @ X3 @ X9 )
                         => ( in @ X3 @ X8 ) )
                      | ( in @ X2 @ X9 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellorderingAx) ).

thf(foundationAx,axiom,
    ( foundationAx
  <=> ! [X4: $i] :
        ( ? [X2: $i] : ( in @ X2 @ X4 )
       => ? [X5: $i] :
            ( ( in @ X5 @ X4 )
            & ~ ? [X2: $i] :
                  ( ( in @ X2 @ X5 )
                  & ( in @ X2 @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',foundationAx) ).

thf(omegaIndAx,axiom,
    ( omegaIndAx
  <=> ! [X4: $i] :
        ( ( ( in @ emptyset @ X4 )
          & ! [X2: $i] :
              ( ( ( in @ X2 @ omega )
                & ( in @ X2 @ X4 ) )
             => ( in @ ( setadjoin @ X2 @ X2 ) @ X4 ) ) )
       => ! [X2: $i] :
            ( ( in @ X2 @ omega )
           => ( in @ X2 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',omegaIndAx) ).

thf(omegaSAx,axiom,
    ( omegaSAx
  <=> ! [X2: $i] :
        ( ( in @ X2 @ omega )
       => ( in @ ( setadjoin @ X2 @ X2 ) @ omega ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',omegaSAx) ).

thf(omega0Ax,axiom,
    ( omega0Ax
  <=> ( in @ emptyset @ omega ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega0Ax) ).

thf(setunionAx,axiom,
    ( setunionAx
  <=> ! [X4: $i,X2: $i] :
        ( ( in @ X2 @ ( setunion @ X4 ) )
      <=> ? [X5: $i] :
            ( ( in @ X2 @ X5 )
            & ( in @ X5 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionAx) ).

thf(powersetAx,axiom,
    ( powersetAx
  <=> ! [X4: $i,X5: $i] :
        ( ( in @ X5 @ ( powerset @ X4 ) )
      <=> ! [X2: $i] :
            ( ( in @ X2 @ X5 )
           => ( in @ X2 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetAx) ).

thf(setadjoinAx,axiom,
    ( setadjoinAx
  <=> ! [X2: $i,X4: $i,X3: $i] :
        ( ( in @ X3 @ ( setadjoin @ X2 @ X4 ) )
      <=> ( ( X3 = X2 )
          | ( in @ X3 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinAx) ).

thf(emptysetAx,axiom,
    ( emptysetAx
  <=> ! [X2: $i] :
        ~ ( in @ X2 @ emptyset ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetAx) ).

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

thf(c_0_45,plain,
    ( exuE3e
  <=> ! [X1: $i > $o] :
        ( ( exu
          @ ^ [Z0: $i] : ( X1 @ Z0 ) )
       => ? [X2: $i] : ( X1 @ X2 ) ) ),
    inference(fof_simplification,[status(thm)],[exuE3e]) ).

thf(c_0_46,plain,
    ( exu
    = ( ^ [Z0: $i > $o] :
        ? [X2: $i] :
          ( ( Z0 @ X2 )
          & ! [X3: $i] :
              ( ( Z0 @ X3 )
             => ( X2 = X3 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[exu]) ).

thf(c_0_47,plain,
    ( exuE1
  <=> ! [X1: $i > $o] :
        ( ( exu
          @ ^ [Z0: $i] : ( X1 @ Z0 ) )
       => ? [X2: $i] :
            ( ( X1 @ X2 )
            & ! [X3: $i] :
                ( ( X1 @ X3 )
               => ( X2 = X3 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[exuE1]) ).

thf(c_0_48,plain,
    ( replAx
  <=> ! [X6: $i > $i > $o,X4: $i] :
        ( ! [X2: $i] :
            ( ( in @ X2 @ X4 )
           => ( exu
              @ ^ [Z0: $i] : ( X6 @ X2 @ Z0 ) ) )
       => ? [X5: $i] :
          ! [X2: $i] :
            ( ( in @ X2 @ X5 )
          <=> ? [X3: $i] :
                ( ( in @ X3 @ X4 )
                & ( X6 @ X3 @ X2 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[replAx]) ).

thf(c_0_49,plain,
    ( prop2set
    = ( ^ [Z0: $o] :
          ( dsetconstr @ ( powerset @ emptyset )
          @ ^ [Z1: $i] : Z0 ) ) ),
    inference(fof_simplification,[status(thm)],[prop2set]) ).

thf(c_0_50,plain,
    ( nonempty
    = ( ^ [Z0: $i] : ( Z0 != emptyset ) ) ),
    inference(fof_simplification,[status(thm)],[nonempty]) ).

thf(c_0_51,plain,
    ( nonemptyI
  <=> ! [X4: $i,X1: $i > $o,X2: $i] :
        ( ( in @ X2 @ X4 )
       => ( ( X1 @ X2 )
         => ( nonempty
            @ ( dsetconstr @ X4
              @ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[nonemptyI]) ).

thf(c_0_52,plain,
    ( descrp
  <=> ! [X1: $i > $o] :
        ( ( exu
          @ ^ [Z0: $i] : ( X1 @ Z0 ) )
       => ( X1
          @ ( descr
            @ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[descrp]) ).

thf(c_0_53,plain,
    ( dsetconstrI
  <=> ! [X4: $i,X1: $i > $o,X2: $i] :
        ( ( in @ X2 @ X4 )
       => ( ( X1 @ X2 )
         => ( in @ X2
            @ ( dsetconstr @ X4
              @ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[dsetconstrI]) ).

thf(c_0_54,plain,
    ( dsetconstrEL
  <=> ! [X4: $i,X1: $i > $o,X2: $i] :
        ( ( in @ X2
          @ ( dsetconstr @ X4
            @ ^ [Z0: $i] : ( X1 @ Z0 ) ) )
       => ( in @ X2 @ X4 ) ) ),
    inference(fof_simplification,[status(thm)],[dsetconstrEL]) ).

thf(c_0_55,plain,
    ( exuE3e
    = ( ! [X1: $i > $o] :
          ( ? [X139: $i] :
              ( ( X1 @ X139 )
              & ! [X140: $i] :
                  ( ( X1 @ X140 )
                 => ( X139 = X140 ) ) )
         => ? [X2: $i] : ( X1 @ X2 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_45,c_0_46]) ).

thf(c_0_56,plain,
    ( exuE1
    = ( ! [X1: $i > $o] :
          ( ? [X137: $i] :
              ( ( X1 @ X137 )
              & ! [X138: $i] :
                  ( ( X1 @ X138 )
                 => ( X137 = X138 ) ) )
         => ? [X2: $i] :
              ( ( X1 @ X2 )
              & ! [X3: $i] :
                  ( ( X1 @ X3 )
                 => ( X2 = X3 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_47,c_0_46]) ).

thf(c_0_57,plain,
    ( dsetconstrER
  <=> ! [X4: $i,X1: $i > $o,X2: $i] :
        ( ( in @ X2
          @ ( dsetconstr @ X4
            @ ^ [Z0: $i] : ( X1 @ Z0 ) ) )
       => ( X1 @ X2 ) ) ),
    inference(fof_simplification,[status(thm)],[dsetconstrER]) ).

thf(c_0_58,plain,
    ( replAx
    = ( ! [X6: $i > $i > $o,X4: $i] :
          ( ! [X2: $i] :
              ( ( in @ X2 @ X4 )
             => ? [X133: $i] :
                  ( ( X6 @ X2 @ X133 )
                  & ! [X134: $i] :
                      ( ( X6 @ X2 @ X134 )
                     => ( X133 = X134 ) ) ) )
         => ? [X5: $i] :
            ! [X2: $i] :
              ( ( in @ X2 @ X5 )
            <=> ? [X3: $i] :
                  ( ( in @ X3 @ X4 )
                  & ( X6 @ X3 @ X2 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_48,c_0_46]) ).

thf(c_0_59,axiom,
    ( prop2setE
    = ( ! [X11: $o,X2: $i] :
          ( ( in @ X2
            @ ( dsetconstr @ ( powerset @ emptyset )
              @ ^ [Z0: $i] : X11 ) )
         => X11 ) ) ),
    inference(apply_def,[status(thm)],[prop2setE,c_0_49]) ).

thf(c_0_60,plain,
    ( setbeta
  <=> ! [X4: $i,X1: $i > $o,X2: $i] :
        ( ( in @ X2 @ X4 )
       => ( ( in @ X2
            @ ( dsetconstr @ X4
              @ ^ [Z0: $i] : ( X1 @ Z0 ) ) )
        <=> ( X1 @ X2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[setbeta]) ).

thf(c_0_61,axiom,
    ( nonemptyE1
    = ( ! [X4: $i] :
          ( ( X4 != emptyset )
         => ? [X2: $i] : ( in @ X2 @ X4 ) ) ) ),
    inference(apply_def,[status(thm)],[nonemptyE1,c_0_50]) ).

thf(c_0_62,plain,
    ( nonemptyI
    = ( ! [X4: $i,X1: $i > $o,X2: $i] :
          ( ( in @ X2 @ X4 )
         => ( ( X1 @ X2 )
           => ( ( dsetconstr @ X4
                @ ^ [Z0: $i] : ( X1 @ Z0 ) )
             != emptyset ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_51,c_0_50]) ).

thf(c_0_63,axiom,
    ( nonemptyI1
    = ( ! [X4: $i] :
          ( ? [X2: $i] : ( in @ X2 @ X4 )
         => ( X4 != emptyset ) ) ) ),
    inference(apply_def,[status(thm)],[nonemptyI1,c_0_50]) ).

thf(c_0_64,plain,
    ( setoftrueEq
  <=> ! [X4: $i] :
        ( ( dsetconstr @ X4
          @ ^ [Z0: $i] : $true )
        = X4 ) ),
    inference(fof_simplification,[status(thm)],[setoftrueEq]) ).

thf(c_0_65,plain,
    ( descrp
    = ( ! [X1: $i > $o] :
          ( ? [X135: $i] :
              ( ( X1 @ X135 )
              & ! [X136: $i] :
                  ( ( X1 @ X136 )
                 => ( X135 = X136 ) ) )
         => ( X1
            @ ( descr
              @ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_52,c_0_46]) ).

thf(c_0_66,plain,
    ( epred1_0
  <=> ! [X170: $i] :
      ? [X171: $i] :
        ( ! [X172: $i] :
            ( ( in @ X172 @ X171 )
           => ! [X173: $i] :
                ( ( in @ X173 @ X172 )
               => ( in @ X173 @ X170 ) ) )
        & ! [X174: $i,X175: $i] :
            ( ( ( in @ X174 @ X170 )
              & ( in @ X175 @ X170 ) )
           => ( ! [X176: $i] :
                  ( ( in @ X176 @ X171 )
                 => ( ( in @ X174 @ X176 )
                  <=> ( in @ X175 @ X176 ) ) )
             => ( X174 = X175 ) ) )
        & ! [X177: $i,X178: $i] :
            ( ( ( in @ X177 @ X171 )
              & ( in @ X178 @ X171 ) )
           => ( ! [X179: $i] :
                  ( ( in @ X179 @ X177 )
                 => ( in @ X179 @ X178 ) )
              | ! [X180: $i] :
                  ( ( in @ X180 @ X178 )
                 => ( in @ X180 @ X177 ) ) ) )
        & ! [X181: $i] :
            ( ( ! [X182: $i] :
                  ( ( in @ X182 @ X181 )
                 => ( in @ X182 @ X170 ) )
              & ? [X183: $i] : ( in @ X183 @ X181 ) )
           => ? [X184: $i,X185: $i] :
                ( ( in @ X184 @ X171 )
                & ( in @ X185 @ X181 )
                & ~ ? [X186: $i] :
                      ( ( in @ X186 @ X184 )
                      & ( in @ X186 @ X181 ) )
                & ! [X187: $i] :
                    ( ( in @ X187 @ X171 )
                   => ( ! [X188: $i] :
                          ( ( in @ X188 @ X187 )
                         => ( in @ X188 @ X184 ) )
                      | ( in @ X185 @ X187 ) ) ) ) ) ) ),
    introduced(definition) ).

thf(c_0_67,negated_conjecture,
    ~ ( ! [X141: $i,X142: $i] :
          ( ! [X143: $i] :
              ( ( in @ X143 @ X141 )
            <=> ( in @ X143 @ X142 ) )
         => ( X141 = X142 ) )
     => ( ! [X144: $i] :
            ~ ( in @ X144 @ emptyset )
       => ( ! [X145: $i,X146: $i,X147: $i] :
              ( ( in @ X147 @ ( setadjoin @ X145 @ X146 ) )
            <=> ( ( X147 = X145 )
                | ( in @ X147 @ X146 ) ) )
         => ( ! [X148: $i,X149: $i] :
                ( ( in @ X149 @ ( powerset @ X148 ) )
              <=> ! [X150: $i] :
                    ( ( in @ X150 @ X149 )
                   => ( in @ X150 @ X148 ) ) )
           => ( ! [X151: $i,X152: $i] :
                  ( ( in @ X152 @ ( setunion @ X151 ) )
                <=> ? [X153: $i] :
                      ( ( in @ X152 @ X153 )
                      & ( in @ X153 @ X151 ) ) )
             => ( ( in @ emptyset @ omega )
               => ( ! [X154: $i] :
                      ( ( in @ X154 @ omega )
                     => ( in @ ( setadjoin @ X154 @ X154 ) @ omega ) )
                 => ( ! [X155: $i] :
                        ( ( ( in @ emptyset @ X155 )
                          & ! [X156: $i] :
                              ( ( ( in @ X156 @ omega )
                                & ( in @ X156 @ X155 ) )
                             => ( in @ ( setadjoin @ X156 @ X156 ) @ X155 ) ) )
                       => ! [X157: $i] :
                            ( ( in @ X157 @ omega )
                           => ( in @ X157 @ X155 ) ) )
                   => ( ! [X158: $i > $i > $o,X159: $i] :
                          ( ! [X160: $i] :
                              ( ( in @ X160 @ X159 )
                             => ? [X161: $i] :
                                  ( ( X158 @ X160 @ X161 )
                                  & ! [X162: $i] :
                                      ( ( X158 @ X160 @ X162 )
                                     => ( X161 = X162 ) ) ) )
                         => ? [X163: $i] :
                            ! [X164: $i] :
                              ( ( in @ X164 @ X163 )
                            <=> ? [X165: $i] :
                                  ( ( in @ X165 @ X159 )
                                  & ( X158 @ X165 @ X164 ) ) ) )
                     => ( ! [X166: $i] :
                            ( ? [X167: $i] : ( in @ X167 @ X166 )
                           => ? [X168: $i] :
                                ( ( in @ X168 @ X166 )
                                & ~ ? [X169: $i] :
                                      ( ( in @ X169 @ X168 )
                                      & ( in @ X169 @ X166 ) ) ) )
                       => ( epred1_0
                         => ( ! [X189: $i > $o] :
                                ( ? [X190: $i] :
                                    ( ( X189 @ X190 )
                                    & ! [X191: $i] :
                                        ( ( X189 @ X191 )
                                       => ( X190 = X191 ) ) )
                               => ( X189
                                  @ ( descr
                                    @ ^ [Z0: $i] : ( X189 @ Z0 ) ) ) )
                           => ( ! [X192: $i,X193: $i > $o,X194: $i] :
                                  ( ( in @ X194 @ X192 )
                                 => ( ( X193 @ X194 )
                                   => ( in @ X194 @ ( dsetconstr @ X192 @ X193 ) ) ) )
                             => ( ! [X195: $i,X196: $i > $o,X197: $i] :
                                    ( ( in @ X197 @ ( dsetconstr @ X195 @ X196 ) )
                                   => ( in @ X197 @ X195 ) )
                               => ( ! [X198: $i,X199: $i > $o,X200: $i] :
                                      ( ( in @ X200 @ ( dsetconstr @ X198 @ X199 ) )
                                     => ( X199 @ X200 ) )
                                 => ( ! [X201: $i > $o] :
                                        ( ? [X202: $i] :
                                            ( ( X201 @ X202 )
                                            & ! [X203: $i] :
                                                ( ( X201 @ X203 )
                                               => ( X202 = X203 ) ) )
                                       => ? [X204: $i] :
                                            ( ( X201 @ X204 )
                                            & ! [X205: $i] :
                                                ( ( X201 @ X205 )
                                               => ( X204 = X205 ) ) ) )
                                   => ( ! [X206: $o,X207: $i] :
                                          ( ( in @ X207
                                            @ ( dsetconstr @ ( powerset @ emptyset )
                                              @ ^ [Z0: $i] : X206 ) )
                                         => X206 )
                                     => ( ! [X208: $i] :
                                            ( ( in @ X208 @ emptyset )
                                           => ! [X209: $o] : X209 )
                                       => ( ! [X210: $i] :
                                              ( ( in @ X210 @ emptyset )
                                             => ~ $true )
                                         => ( ! [X211: $i] :
                                                ~ ( in @ X211 @ emptyset )
                                           => ( ! [X212: $i > $o] :
                                                  ( ? [X213: $i] :
                                                      ( ( X212 @ X213 )
                                                      & ! [X214: $i] :
                                                          ( ( X212 @ X214 )
                                                         => ( X213 = X214 ) ) )
                                                 => ? [X215: $i] : ( X212 @ X215 ) )
                                             => ( ! [X216: $i,X217: $i] :
                                                    ( ! [X218: $i] :
                                                        ( ( in @ X218 @ X216 )
                                                       => ( in @ X218 @ X217 ) )
                                                   => ( ! [X219: $i] :
                                                          ( ( in @ X219 @ X217 )
                                                         => ( in @ X219 @ X216 ) )
                                                     => ( X216 = X217 ) ) )
                                               => ( ! [X220: $i] :
                                                      ( ! [X221: $i] :
                                                          ~ ( in @ X221 @ X220 )
                                                     => ( X220 = emptyset ) )
                                                 => ( ! [X222: $i] :
                                                        ( ! [X223: $i] :
                                                            ~ ( in @ X223 @ X222 )
                                                       => ( X222 = emptyset ) )
                                                   => ( ! [X224: $i,X225: $i > $o,X226: $i] :
                                                          ( ( in @ X226 @ X224 )
                                                         => ( ( in @ X226 @ ( dsetconstr @ X224 @ X225 ) )
                                                          <=> ( X225 @ X226 ) ) )
                                                     => ( ! [X227: $i] :
                                                            ( ( X227 != emptyset )
                                                           => ? [X228: $i] : ( in @ X228 @ X227 ) )
                                                       => ( ! [X229: $i,X230: $i > $o,X231: $i] :
                                                              ( ( in @ X231 @ X229 )
                                                             => ( ( X230 @ X231 )
                                                               => ( ( dsetconstr @ X229 @ X230 )
                                                                 != emptyset ) ) )
                                                         => ( ! [X232: $i] :
                                                                ( ? [X233: $i] : ( in @ X233 @ X232 )
                                                               => ( X232 != emptyset ) )
                                                           => ( ! [X234: $i,X235: $i] : ( in @ X234 @ ( setadjoin @ X234 @ X235 ) )
                                                             => ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
                                                               => ( ! [X236: $i,X237: $i,X238: $i] :
                                                                      ( ( in @ X238 @ X237 )
                                                                     => ( in @ X238 @ ( setadjoin @ X236 @ X237 ) ) )
                                                                 => ( ! [X239: $i,X240: $i,X241: $i] :
                                                                        ( ( in @ X241 @ ( setadjoin @ X239 @ X240 ) )
                                                                       => ! [X242: $o] :
                                                                            ( ( ( X241 = X239 )
                                                                             => X242 )
                                                                           => ( ( ( in @ X241 @ X240 )
                                                                               => X242 )
                                                                             => X242 ) ) )
                                                                   => ( ! [X243: $i,X244: $i,X245: $i] :
                                                                          ( ( in @ X245 @ ( setadjoin @ X243 @ X244 ) )
                                                                         => ( ( X245 = X243 )
                                                                            | ( in @ X245 @ X244 ) ) )
                                                                     => ( ! [X246: $i] :
                                                                            ( ( dsetconstr @ X246
                                                                              @ ^ [Z0: $i] : $true )
                                                                            = X246 )
                                                                       => ( ! [X247: $i,X248: $i] :
                                                                              ( ! [X249: $i] :
                                                                                  ( ( in @ X249 @ X248 )
                                                                                 => ( in @ X249 @ X247 ) )
                                                                             => ( in @ X248 @ ( powerset @ X247 ) ) )
                                                                         => ( ! [X250: $i] : ( in @ emptyset @ ( powerset @ X250 ) )
                                                                           => ( ! [X251: $i] : ( in @ emptyset @ ( powerset @ X251 ) )
                                                                             => ( ! [X252: $i,X253: $i,X254: $i] :
                                                                                    ( ( in @ X253 @ ( powerset @ X252 ) )
                                                                                   => ( ( in @ X254 @ X253 )
                                                                                     => ( in @ X254 @ X252 ) ) )
                                                                               => ( ! [X255: $i,X256: $i,X257: $i] :
                                                                                      ( ( in @ X256 @ X257 )
                                                                                     => ( ( in @ X257 @ X255 )
                                                                                       => ( in @ X256 @ ( setunion @ X255 ) ) ) )
                                                                                 => ( ! [X258: $i,X259: $i] :
                                                                                        ( ( in @ X259 @ ( setunion @ X258 ) )
                                                                                       => ! [X260: $o] :
                                                                                            ( ! [X261: $i] :
                                                                                                ( ( in @ X259 @ X261 )
                                                                                               => ( ( in @ X261 @ X258 )
                                                                                                 => X260 ) )
                                                                                           => X260 ) )
                                                                                   => ( ! [X262: $i,X263: $i] :
                                                                                          ( ( in @ X263 @ X262 )
                                                                                         => ( in @ X263 @ ( powerset @ ( setunion @ X262 ) ) ) )
                                                                                     => ! [X1: $i > $o] :
                                                                                          ( ? [X264: $i] :
                                                                                              ( ( X1 @ X264 )
                                                                                              & ! [X265: $i] :
                                                                                                  ( ( X1 @ X265 )
                                                                                                 => ( X264 = X265 ) ) )
                                                                                         => ? [X2: $i] :
                                                                                            ! [X3: $i] :
                                                                                              ( ( X1 @ X3 )
                                                                                            <=> ( X3 = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(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(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(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[exuE2])]),c_0_46]),emptyInPowerset]),powersetE]),setunionI]),c_0_53]),setunionE]),subPowSU]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),emptysetE]),emptysetimpfalse]),notinemptyset]),setext]),emptyI]),noeltsimpempty]),c_0_60]),c_0_61]),c_0_62]),c_0_63]),setadjoinIL]),emptyinunitempty]),setadjoinIR]),setadjoinE]),setadjoinOr]),c_0_64]),powersetI]),emptyinPowerset]),c_0_65]),wellorderingAx]),foundationAx]),omegaIndAx]),omegaSAx]),omega0Ax]),setunionAx]),powersetAx]),setadjoinAx]),emptysetAx]),setextAx])])]),c_0_66]) ).

thf(c_0_68,negated_conjecture,
    ! [X266: $i,X267: $i,X269: $i,X270: $i,X271: $i,X272: $i,X273: $i,X274: $i,X275: $i,X276: $i,X277: $i,X279: $i,X280: $i,X282: $i,X283: $i,X284: $i,X285: $i,X286: $i,X288: $i,X289: $i > $i > $o,X290: $i,X292: $i,X295: $i,X297: $i,X298: $i,X299: $i,X300: $i,X302: $i,X303: $i > $o,X304: $i,X306: $i,X307: $i > $o,X308: $i,X309: $i,X310: $i > $o,X311: $i,X312: $i,X313: $i > $o,X314: $i,X315: $i > $o,X316: $i,X319: $i,X320: $o,X321: $i,X322: $i,X323: $o,X324: $i,X325: $i,X326: $i > $o,X327: $i,X330: $i,X331: $i,X334: $i,X336: $i,X338: $i,X339: $i > $o,X340: $i,X341: $i,X343: $i,X344: $i > $o,X345: $i,X346: $i,X347: $i,X348: $i,X349: $i,X350: $i,X351: $i,X352: $i,X353: $i,X354: $i,X355: $i,X356: $o,X357: $i,X358: $i,X359: $i,X360: $i,X361: $i,X362: $i,X364: $i,X365: $i,X366: $i,X367: $i,X368: $i,X369: $i,X370: $i,X371: $i,X372: $i,X373: $i,X374: $o,X376: $i,X377: $i,X380: $i,X381: $i] :
      ( ( ~ ( in @ ( esk1_2 @ X266 @ X267 ) @ X266 )
        | ~ ( in @ ( esk1_2 @ X266 @ X267 ) @ X267 )
        | ( X266 = X267 ) )
      & ( ( in @ ( esk1_2 @ X266 @ X267 ) @ X266 )
        | ( in @ ( esk1_2 @ X266 @ X267 ) @ X267 )
        | ( X266 = X267 ) )
      & ~ ( in @ X269 @ emptyset )
      & ( ~ ( in @ X272 @ ( setadjoin @ X270 @ X271 ) )
        | ( X272 = X270 )
        | ( in @ X272 @ X271 ) )
      & ( ( X272 != X270 )
        | ( in @ X272 @ ( setadjoin @ X270 @ X271 ) ) )
      & ( ~ ( in @ X272 @ X271 )
        | ( in @ X272 @ ( setadjoin @ X270 @ X271 ) ) )
      & ( ~ ( in @ X274 @ ( powerset @ X273 ) )
        | ~ ( in @ X275 @ X274 )
        | ( in @ X275 @ X273 ) )
      & ( ( in @ ( esk2_2 @ X276 @ X277 ) @ X277 )
        | ( in @ X277 @ ( powerset @ X276 ) ) )
      & ( ~ ( in @ ( esk2_2 @ X276 @ X277 ) @ X276 )
        | ( in @ X277 @ ( powerset @ X276 ) ) )
      & ( ( in @ X280 @ ( esk3_2 @ X279 @ X280 ) )
        | ~ ( in @ X280 @ ( setunion @ X279 ) ) )
      & ( ( in @ ( esk3_2 @ X279 @ X280 ) @ X279 )
        | ~ ( in @ X280 @ ( setunion @ X279 ) ) )
      & ( ~ ( in @ X283 @ X284 )
        | ~ ( in @ X284 @ X282 )
        | ( in @ X283 @ ( setunion @ X282 ) ) )
      & ( in @ emptyset @ omega )
      & ( ~ ( in @ X285 @ omega )
        | ( in @ ( setadjoin @ X285 @ X285 ) @ omega ) )
      & ( ( in @ ( esk4_1 @ X286 ) @ omega )
        | ~ ( in @ emptyset @ X286 )
        | ~ ( in @ X288 @ omega )
        | ( in @ X288 @ X286 ) )
      & ( ( in @ ( esk4_1 @ X286 ) @ X286 )
        | ~ ( in @ emptyset @ X286 )
        | ~ ( in @ X288 @ omega )
        | ( in @ X288 @ X286 ) )
      & ( ~ ( in @ ( setadjoin @ ( esk4_1 @ X286 ) @ ( esk4_1 @ X286 ) ) @ X286 )
        | ~ ( in @ emptyset @ X286 )
        | ~ ( in @ X288 @ omega )
        | ( in @ X288 @ X286 ) )
      & ( ( in @ ( esk8_3 @ X289 @ X290 @ X295 ) @ X290 )
        | ~ ( in @ X295 @ ( esk7_2 @ X289 @ X290 ) )
        | ( in @ ( esk5_2 @ X289 @ X290 ) @ X290 ) )
      & ( ( X289 @ ( esk8_3 @ X289 @ X290 @ X295 ) @ X295 )
        | ~ ( in @ X295 @ ( esk7_2 @ X289 @ X290 ) )
        | ( in @ ( esk5_2 @ X289 @ X290 ) @ X290 ) )
      & ( ~ ( in @ X298 @ X290 )
        | ~ ( X289 @ X298 @ X297 )
        | ( in @ X297 @ ( esk7_2 @ X289 @ X290 ) )
        | ( in @ ( esk5_2 @ X289 @ X290 ) @ X290 ) )
      & ( ( in @ ( esk8_3 @ X289 @ X290 @ X295 ) @ X290 )
        | ~ ( in @ X295 @ ( esk7_2 @ X289 @ X290 ) )
        | ( X289 @ ( esk5_2 @ X289 @ X290 ) @ ( esk6_3 @ X289 @ X290 @ X292 ) )
        | ~ ( X289 @ ( esk5_2 @ X289 @ X290 ) @ X292 ) )
      & ( ( X289 @ ( esk8_3 @ X289 @ X290 @ X295 ) @ X295 )
        | ~ ( in @ X295 @ ( esk7_2 @ X289 @ X290 ) )
        | ( X289 @ ( esk5_2 @ X289 @ X290 ) @ ( esk6_3 @ X289 @ X290 @ X292 ) )
        | ~ ( X289 @ ( esk5_2 @ X289 @ X290 ) @ X292 ) )
      & ( ~ ( in @ X298 @ X290 )
        | ~ ( X289 @ X298 @ X297 )
        | ( in @ X297 @ ( esk7_2 @ X289 @ X290 ) )
        | ( X289 @ ( esk5_2 @ X289 @ X290 ) @ ( esk6_3 @ X289 @ X290 @ X292 ) )
        | ~ ( X289 @ ( esk5_2 @ X289 @ X290 ) @ X292 ) )
      & ( ( in @ ( esk8_3 @ X289 @ X290 @ X295 ) @ X290 )
        | ~ ( in @ X295 @ ( esk7_2 @ X289 @ X290 ) )
        | ( X292
         != ( esk6_3 @ X289 @ X290 @ X292 ) )
        | ~ ( X289 @ ( esk5_2 @ X289 @ X290 ) @ X292 ) )
      & ( ( X289 @ ( esk8_3 @ X289 @ X290 @ X295 ) @ X295 )
        | ~ ( in @ X295 @ ( esk7_2 @ X289 @ X290 ) )
        | ( X292
         != ( esk6_3 @ X289 @ X290 @ X292 ) )
        | ~ ( X289 @ ( esk5_2 @ X289 @ X290 ) @ X292 ) )
      & ( ~ ( in @ X298 @ X290 )
        | ~ ( X289 @ X298 @ X297 )
        | ( in @ X297 @ ( esk7_2 @ X289 @ X290 ) )
        | ( X292
         != ( esk6_3 @ X289 @ X290 @ X292 ) )
        | ~ ( X289 @ ( esk5_2 @ X289 @ X290 ) @ X292 ) )
      & ( ( in @ ( esk9_1 @ X299 ) @ X299 )
        | ~ ( in @ X300 @ X299 ) )
      & ( ~ ( in @ X302 @ ( esk9_1 @ X299 ) )
        | ~ ( in @ X302 @ X299 )
        | ~ ( in @ X300 @ X299 ) )
      & epred1_0
      & ( ( X303 @ ( esk10_2 @ X303 @ X304 ) )
        | ~ ( X303 @ X304 )
        | ( X303 @ ( descr @ X303 ) ) )
      & ( ( X304
         != ( esk10_2 @ X303 @ X304 ) )
        | ~ ( X303 @ X304 )
        | ( X303 @ ( descr @ X303 ) ) )
      & ( ~ ( in @ X308 @ X306 )
        | ~ ( X307 @ X308 )
        | ( in @ X308 @ ( dsetconstr @ X306 @ X307 ) ) )
      & ( ~ ( in @ X311 @ ( dsetconstr @ X309 @ X310 ) )
        | ( in @ X311 @ X309 ) )
      & ( ~ ( in @ X314 @ ( dsetconstr @ X312 @ X313 ) )
        | ( X313 @ X314 ) )
      & ( ( X315 @ ( esk12_1 @ X315 ) )
        | ( X315 @ ( esk11_2 @ X315 @ X316 ) )
        | ~ ( X315 @ X316 ) )
      & ( ~ ( X315 @ X319 )
        | ( ( esk12_1 @ X315 )
          = X319 )
        | ( X315 @ ( esk11_2 @ X315 @ X316 ) )
        | ~ ( X315 @ X316 ) )
      & ( ( X315 @ ( esk12_1 @ X315 ) )
        | ( X316
         != ( esk11_2 @ X315 @ X316 ) )
        | ~ ( X315 @ X316 ) )
      & ( ~ ( X315 @ X319 )
        | ( ( esk12_1 @ X315 )
          = X319 )
        | ( X316
         != ( esk11_2 @ X315 @ X316 ) )
        | ~ ( X315 @ X316 ) )
      & ( ~ ( in @ X321
            @ ( dsetconstr @ ( powerset @ emptyset )
              @ ^ [Z0: $i] : X320 ) )
        | X320 )
      & ( ~ ( in @ X322 @ emptyset )
        | X323 )
      & ( ~ ( in @ X324 @ emptyset )
        | ~ $true )
      & ~ ( in @ X325 @ emptyset )
      & ( ( X326 @ ( esk13_2 @ X326 @ X327 ) )
        | ~ ( X326 @ X327 )
        | ( X326 @ ( esk14_1 @ X326 ) ) )
      & ( ( X327
         != ( esk13_2 @ X326 @ X327 ) )
        | ~ ( X326 @ X327 )
        | ( X326 @ ( esk14_1 @ X326 ) ) )
      & ( ( in @ ( esk16_2 @ X330 @ X331 ) @ X331 )
        | ( X330 = X331 )
        | ( in @ ( esk15_2 @ X330 @ X331 ) @ X330 ) )
      & ( ~ ( in @ ( esk16_2 @ X330 @ X331 ) @ X330 )
        | ( X330 = X331 )
        | ( in @ ( esk15_2 @ X330 @ X331 ) @ X330 ) )
      & ( ( in @ ( esk16_2 @ X330 @ X331 ) @ X331 )
        | ( X330 = X331 )
        | ~ ( in @ ( esk15_2 @ X330 @ X331 ) @ X331 ) )
      & ( ~ ( in @ ( esk16_2 @ X330 @ X331 ) @ X330 )
        | ( X330 = X331 )
        | ~ ( in @ ( esk15_2 @ X330 @ X331 ) @ X331 ) )
      & ( ( in @ ( esk17_1 @ X334 ) @ X334 )
        | ( X334 = emptyset ) )
      & ( ( in @ ( esk18_1 @ X336 ) @ X336 )
        | ( X336 = emptyset ) )
      & ( ~ ( in @ X340 @ ( dsetconstr @ X338 @ X339 ) )
        | ( X339 @ X340 )
        | ~ ( in @ X340 @ X338 ) )
      & ( ~ ( X339 @ X340 )
        | ( in @ X340 @ ( dsetconstr @ X338 @ X339 ) )
        | ~ ( in @ X340 @ X338 ) )
      & ( ( X341 = emptyset )
        | ( in @ ( esk19_1 @ X341 ) @ X341 ) )
      & ( ~ ( in @ X345 @ X343 )
        | ~ ( X344 @ X345 )
        | ( ( dsetconstr @ X343 @ X344 )
         != emptyset ) )
      & ( ~ ( in @ X347 @ X346 )
        | ( X346 != emptyset ) )
      & ( in @ X348 @ ( setadjoin @ X348 @ X349 ) )
      & ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
      & ( ~ ( in @ X352 @ X351 )
        | ( in @ X352 @ ( setadjoin @ X350 @ X351 ) ) )
      & ( ( in @ X355 @ X354 )
        | X356
        | ( X355 = X353 )
        | ~ ( in @ X355 @ ( setadjoin @ X353 @ X354 ) ) )
      & ( ~ X356
        | X356
        | ( X355 = X353 )
        | ~ ( in @ X355 @ ( setadjoin @ X353 @ X354 ) ) )
      & ( ( in @ X355 @ X354 )
        | X356
        | ~ X356
        | ~ ( in @ X355 @ ( setadjoin @ X353 @ X354 ) ) )
      & ( ~ X356
        | X356
        | ~ X356
        | ~ ( in @ X355 @ ( setadjoin @ X353 @ X354 ) ) )
      & ( ~ ( in @ X359 @ ( setadjoin @ X357 @ X358 ) )
        | ( X359 = X357 )
        | ( in @ X359 @ X358 ) )
      & ( ( dsetconstr @ X360
          @ ^ [Z0: $i] : $true )
        = X360 )
      & ( ( in @ ( esk20_2 @ X361 @ X362 ) @ X362 )
        | ( in @ X362 @ ( powerset @ X361 ) ) )
      & ( ~ ( in @ ( esk20_2 @ X361 @ X362 ) @ X361 )
        | ( in @ X362 @ ( powerset @ X361 ) ) )
      & ( in @ emptyset @ ( powerset @ X364 ) )
      & ( in @ emptyset @ ( powerset @ X365 ) )
      & ( ~ ( in @ X367 @ ( powerset @ X366 ) )
        | ~ ( in @ X368 @ X367 )
        | ( in @ X368 @ X366 ) )
      & ( ~ ( in @ X370 @ X371 )
        | ~ ( in @ X371 @ X369 )
        | ( in @ X370 @ ( setunion @ X369 ) ) )
      & ( ( in @ X373 @ ( esk21_3 @ X372 @ X373 @ X374 ) )
        | X374
        | ~ ( in @ X373 @ ( setunion @ X372 ) ) )
      & ( ( in @ ( esk21_3 @ X372 @ X373 @ X374 ) @ X372 )
        | X374
        | ~ ( in @ X373 @ ( setunion @ X372 ) ) )
      & ( ~ X374
        | X374
        | ~ ( in @ X373 @ ( setunion @ X372 ) ) )
      & ( ~ ( in @ X377 @ X376 )
        | ( in @ X377 @ ( powerset @ ( setunion @ X376 ) ) ) )
      & ( epred2_0 @ esk22_0 )
      & ( ~ ( epred2_0 @ X380 )
        | ( esk22_0 = X380 ) )
      & ( ~ ( epred2_0 @ ( esk23_1 @ X381 ) )
        | ( ( esk23_1 @ X381 )
         != X381 ) )
      & ( ( epred2_0 @ ( esk23_1 @ X381 ) )
        | ( ( esk23_1 @ X381 )
          = X381 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])])])])]) ).

thf(c_0_69,negated_conjecture,
    ! [X2: $i] :
      ( ( esk22_0 = X2 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

thf(c_0_70,negated_conjecture,
    ! [X2: $i] :
      ( ( epred2_0 @ ( esk23_1 @ X2 ) )
      | ( ( esk23_1 @ X2 )
        = X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

thf(c_0_71,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk23_1 @ X2 )
        = esk22_0 )
      | ( ( esk23_1 @ X2 )
        = X2 ) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

thf(c_0_72,negated_conjecture,
    ! [X2: $i] :
      ( ~ ( epred2_0 @ ( esk23_1 @ X2 ) )
      | ( ( esk23_1 @ X2 )
       != X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

thf(c_0_73,negated_conjecture,
    ( ( esk23_1 @ esk22_0 )
    = esk22_0 ),
    inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_71])]) ).

thf(c_0_74,negated_conjecture,
    epred2_0 @ esk22_0,
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

thf(c_0_75,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SEU525^1 : TPTP v8.2.0. Released v3.7.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n019.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sun May 19 17:41:22 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.46  Running higher-order theorem proving
% 0.16/0.46  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.16/0.48  # Version: 3.1.0-ho
% 0.16/0.48  # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.16/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.48  # Starting sh5l with 300s (1) cores
% 0.16/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.48  # Starting new_bool_2 with 300s (1) cores
% 0.16/0.48  # sh5l with pid 15990 completed with status 0
% 0.16/0.48  # Result found by sh5l
% 0.16/0.48  # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.16/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.48  # Starting sh5l with 300s (1) cores
% 0.16/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.48  # Search class: HGHSM-FFMS31-SHSSMSBN
% 0.16/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.48  # Starting new_ho_10 with 181s (1) cores
% 0.16/0.48  # new_ho_10 with pid 15999 completed with status 0
% 0.16/0.48  # Result found by new_ho_10
% 0.16/0.48  # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.16/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.48  # Starting sh5l with 300s (1) cores
% 0.16/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.48  # Search class: HGHSM-FFMS31-SHSSMSBN
% 0.16/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.48  # Starting new_ho_10 with 181s (1) cores
% 0.16/0.48  # Preprocessing time       : 0.002 s
% 0.16/0.48  # Presaturation interreduction done
% 0.16/0.48  
% 0.16/0.48  # Proof found!
% 0.16/0.48  # SZS status Theorem
% 0.16/0.48  # SZS output start CNFRefutation
% See solution above
% 0.16/0.48  # Parsed axioms                        : 97
% 0.16/0.48  # Removed by relevancy pruning/SinE    : 52
% 0.16/0.48  # Initial clauses                      : 91
% 0.16/0.48  # Removed in clause preprocessing      : 4
% 0.16/0.48  # Initial clauses in saturation        : 87
% 0.16/0.48  # Processed clauses                    : 106
% 0.16/0.48  # ...of these trivial                  : 1
% 0.16/0.48  # ...subsumed                          : 11
% 0.16/0.48  # ...remaining for further processing  : 94
% 0.16/0.48  # Other redundant clauses eliminated   : 5
% 0.16/0.48  # Clauses deleted for lack of memory   : 0
% 0.16/0.48  # Backward-subsumed                    : 0
% 0.16/0.48  # Backward-rewritten                   : 1
% 0.16/0.48  # Generated clauses                    : 19
% 0.16/0.48  # ...of the previous two non-redundant : 12
% 0.16/0.48  # ...aggressively subsumed             : 0
% 0.16/0.48  # Contextual simplify-reflections      : 0
% 0.16/0.48  # Paramodulations                      : 12
% 0.16/0.48  # Factorizations                       : 2
% 0.16/0.48  # NegExts                              : 0
% 0.16/0.48  # Equation resolutions                 : 5
% 0.16/0.48  # Disequality decompositions           : 0
% 0.16/0.48  # Total rewrite steps                  : 19
% 0.16/0.48  # ...of those cached                   : 14
% 0.16/0.48  # Propositional unsat checks           : 0
% 0.16/0.48  #    Propositional check models        : 0
% 0.16/0.48  #    Propositional check unsatisfiable : 0
% 0.16/0.48  #    Propositional clauses             : 0
% 0.16/0.48  #    Propositional clauses after purity: 0
% 0.16/0.48  #    Propositional unsat core size     : 0
% 0.16/0.48  #    Propositional preprocessing time  : 0.000
% 0.16/0.48  #    Propositional encoding time       : 0.000
% 0.16/0.49  #    Propositional solver time         : 0.000
% 0.16/0.49  #    Success case prop preproc time    : 0.000
% 0.16/0.49  #    Success case prop encoding time   : 0.000
% 0.16/0.49  #    Success case prop solver time     : 0.000
% 0.16/0.49  # Current number of processed clauses  : 18
% 0.16/0.49  #    Positive orientable unit clauses  : 7
% 0.16/0.49  #    Positive unorientable unit clauses: 0
% 0.16/0.49  #    Negative unit clauses             : 2
% 0.16/0.49  #    Non-unit-clauses                  : 9
% 0.16/0.49  # Current number of unprocessed clauses: 66
% 0.16/0.49  # ...number of literals in the above   : 199
% 0.16/0.49  # Current number of archived formulas  : 0
% 0.16/0.49  # Current number of archived clauses   : 74
% 0.16/0.49  # Clause-clause subsumption calls (NU) : 1945
% 0.16/0.49  # Rec. Clause-clause subsumption calls : 806
% 0.16/0.49  # Non-unit clause-clause subsumptions  : 10
% 0.16/0.49  # Unit Clause-clause subsumption calls : 11
% 0.16/0.49  # Rewrite failures with RHS unbound    : 0
% 0.16/0.49  # BW rewrite match attempts            : 3
% 0.16/0.49  # BW rewrite match successes           : 1
% 0.16/0.49  # Condensation attempts                : 106
% 0.16/0.49  # Condensation successes               : 3
% 0.16/0.49  # Termbank termtop insertions          : 13161
% 0.16/0.49  # Search garbage collected termcells   : 4539
% 0.16/0.49  
% 0.16/0.49  # -------------------------------------------------
% 0.16/0.49  # User time                : 0.013 s
% 0.16/0.49  # System time              : 0.002 s
% 0.16/0.49  # Total time               : 0.015 s
% 0.16/0.49  # Maximum resident set size: 3020 pages
% 0.16/0.49  
% 0.16/0.49  # -------------------------------------------------
% 0.16/0.49  # User time                : 0.014 s
% 0.16/0.49  # System time              : 0.007 s
% 0.16/0.49  # Total time               : 0.021 s
% 0.16/0.49  # Maximum resident set size: 1828 pages
% 0.16/0.49  % E---3.1 exiting
% 0.16/0.49  % E exiting
%------------------------------------------------------------------------------