TSTP Solution File: SEU508^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU508^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 03:27:50 EDT 2024

% Result   : Theorem 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   78
% Syntax   : Number of formulae    :  100 (  12 unt;  52 typ;   0 def)
%            Number of atoms       :  361 (  50 equ;   0 cnn)
%            Maximal formula atoms :  102 (   7 avg)
%            Number of connectives : 1270 (  88   ~;  95   |;  93   &; 805   @)
%                                         (  43 <=>; 146  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  103 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   90 (  90   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   55 (  52 usr;  31 con; 0-3 aty)
%            Number of variables   :  281 (  31   ^ 210   !;  40   ?; 281   :)

% 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_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_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,
    epred1_0: $o ).

thf(decl_57,type,
    esk1_2: $i > $i > $i ).

thf(decl_58,type,
    esk2_2: $i > $i > $i ).

thf(decl_59,type,
    esk3_1: $i > $i ).

thf(decl_60,type,
    esk4_2: ( $i > $i > $o ) > $i > $i ).

thf(decl_61,type,
    esk5_3: ( $i > $i > $o ) > $i > $i > $i ).

thf(decl_62,type,
    esk6_2: ( $i > $i > $o ) > $i > $i ).

thf(decl_63,type,
    esk7_3: ( $i > $i > $o ) > $i > $i > $i ).

thf(decl_64,type,
    esk8_1: $i > $i ).

thf(decl_65,type,
    esk9_2: ( $i > $o ) > $i > $i ).

thf(decl_66,type,
    esk10_1: ( $i > $o ) > $i ).

thf(decl_67,type,
    esk11_2: ( $i > $o ) > $i > $i ).

thf(decl_68,type,
    esk12_1: ( $i > $o ) > $i ).

thf(decl_69,type,
    esk13_2: $i > $i > $i ).

thf(decl_70,type,
    esk14_2: $i > $i > $i ).

thf(decl_71,type,
    esk15_1: $i > $i ).

thf(decl_72,type,
    esk16_1: $i > $i ).

thf(decl_73,type,
    esk17_0: $i ).

thf(decl_74,type,
    epred2_0: $i > $o ).

thf(decl_75,type,
    esk18_0: $i ).

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/sandbox2/benchmark/theBenchmark.p',replAx) ).

thf(exu,axiom,
    ( exu
    = ( ^ [X1: $i > $o] :
        ? [X2: $i] :
          ( ( X1 @ X2 )
          & ! [X3: $i] :
              ( ( X1 @ X3 )
             => ( X2 = X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',exuE1) ).

thf(prop2set,axiom,
    ( prop2set
    = ( ^ [X10: $o] :
          ( dsetconstr @ ( powerset @ emptyset )
          @ ^ [X2: $i] : X10 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2set) ).

thf(exuE3e,axiom,
    ( exuE3e
  <=> ! [X1: $i > $o] :
        ( ( exu
          @ ^ [X2: $i] : ( X1 @ X2 ) )
       => ? [X2: $i] : ( X1 @ X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuE3e) ).

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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dsetconstrER) ).

thf(prop2setE,axiom,
    ( prop2setE
  <=> ! [X11: $o,X2: $i] :
        ( ( in @ X2 @ ( prop2set @ X11 ) )
       => X11 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2setE) ).

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

thf(noeltsimpempty,axiom,
    ( noeltsimpempty
  <=> ! [X4: $i] :
        ( ! [X2: $i] :
            ~ ( in @ X2 @ X4 )
       => ( X4 = emptyset ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noeltsimpempty) ).

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/sandbox2/benchmark/theBenchmark.p',wellorderingAx) ).

thf(emptysetE,axiom,
    ( emptysetE
  <=> ! [X2: $i] :
        ( ( in @ X2 @ emptyset )
       => ! [X12: $o] : X12 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetE) ).

thf(emptysetimpfalse,axiom,
    ( emptysetimpfalse
  <=> ! [X2: $i] :
        ( ( in @ X2 @ emptyset )
       => ~ $true ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetimpfalse) ).

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

thf(notinemptyset,axiom,
    ( notinemptyset
  <=> ! [X2: $i] :
        ~ ( in @ X2 @ emptyset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinemptyset) ).

thf(emptysetAx,axiom,
    ( emptysetAx
  <=> ! [X2: $i] :
        ~ ( in @ X2 @ emptyset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetAx) ).

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/sandbox2/benchmark/theBenchmark.p',setext) ).

thf(emptyI,axiom,
    ( emptyI
  <=> ! [X4: $i] :
        ( ! [X2: $i] :
            ~ ( in @ X2 @ X4 )
       => ( X4 = emptyset ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyI) ).

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

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

thf(omega0Ax,axiom,
    ( omega0Ax
  <=> ( in @ emptyset @ omega ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega0Ax) ).

thf(omegaSAx,axiom,
    ( omegaSAx
  <=> ! [X2: $i] :
        ( ( in @ X2 @ omega )
       => ( in @ ( setadjoin @ X2 @ X2 ) @ omega ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaSAx) ).

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/sandbox2/benchmark/theBenchmark.p',omegaIndAx) ).

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/sandbox2/benchmark/theBenchmark.p',foundationAx) ).

thf(c_0_25,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_26,plain,
    ( exu
    = ( ^ [Z0: $i > $o] :
        ? [X2: $i] :
          ( ( Z0 @ X2 )
          & ! [X3: $i] :
              ( ( Z0 @ X3 )
             => ( X2 = X3 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[exu]) ).

thf(c_0_27,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_28,plain,
    ( prop2set
    = ( ^ [Z0: $o] :
          ( dsetconstr @ ( powerset @ emptyset )
          @ ^ [Z1: $i] : Z0 ) ) ),
    inference(fof_simplification,[status(thm)],[prop2set]) ).

thf(c_0_29,plain,
    ( exuE3e
  <=> ! [X1: $i > $o] :
        ( ( exu
          @ ^ [Z0: $i] : ( X1 @ Z0 ) )
       => ? [X2: $i] : ( X1 @ X2 ) ) ),
    inference(fof_simplification,[status(thm)],[exuE3e]) ).

thf(c_0_30,plain,
    ( replAx
    = ( ! [X6: $i > $i > $o,X4: $i] :
          ( ! [X2: $i] :
              ( ( in @ X2 @ X4 )
             => ? [X87: $i] :
                  ( ( X6 @ X2 @ X87 )
                  & ! [X88: $i] :
                      ( ( X6 @ X2 @ X88 )
                     => ( X87 = X88 ) ) ) )
         => ? [X5: $i] :
            ! [X2: $i] :
              ( ( in @ X2 @ X5 )
            <=> ? [X3: $i] :
                  ( ( in @ X3 @ X4 )
                  & ( X6 @ X3 @ X2 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_25,c_0_26]) ).

thf(c_0_31,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_32,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_33,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_34,plain,
    ( exuE1
    = ( ! [X1: $i > $o] :
          ( ? [X89: $i] :
              ( ( X1 @ X89 )
              & ! [X90: $i] :
                  ( ( X1 @ X90 )
                 => ( X89 = X90 ) ) )
         => ? [X2: $i] :
              ( ( X1 @ X2 )
              & ! [X3: $i] :
                  ( ( X1 @ X3 )
                 => ( X2 = X3 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_27,c_0_26]) ).

thf(c_0_35,axiom,
    ( prop2setE
    = ( ! [X11: $o,X2: $i] :
          ( ( in @ X2
            @ ( dsetconstr @ ( powerset @ emptyset )
              @ ^ [Z0: $i] : X11 ) )
         => X11 ) ) ),
    inference(apply_def,[status(thm)],[prop2setE,c_0_28]) ).

thf(c_0_36,plain,
    ( exuE3e
    = ( ! [X1: $i > $o] :
          ( ? [X91: $i] :
              ( ( X1 @ X91 )
              & ! [X92: $i] :
                  ( ( X1 @ X92 )
                 => ( X91 = X92 ) ) )
         => ? [X2: $i] : ( X1 @ X2 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_29,c_0_26]) ).

thf(c_0_37,plain,
    ( epred1_0
  <=> ! [X119: $i] :
      ? [X120: $i] :
        ( ! [X121: $i] :
            ( ( in @ X121 @ X120 )
           => ! [X122: $i] :
                ( ( in @ X122 @ X121 )
               => ( in @ X122 @ X119 ) ) )
        & ! [X123: $i,X124: $i] :
            ( ( ( in @ X123 @ X119 )
              & ( in @ X124 @ X119 ) )
           => ( ! [X125: $i] :
                  ( ( in @ X125 @ X120 )
                 => ( ( in @ X123 @ X125 )
                  <=> ( in @ X124 @ X125 ) ) )
             => ( X123 = X124 ) ) )
        & ! [X126: $i,X127: $i] :
            ( ( ( in @ X126 @ X120 )
              & ( in @ X127 @ X120 ) )
           => ( ! [X128: $i] :
                  ( ( in @ X128 @ X126 )
                 => ( in @ X128 @ X127 ) )
              | ! [X129: $i] :
                  ( ( in @ X129 @ X127 )
                 => ( in @ X129 @ X126 ) ) ) )
        & ! [X130: $i] :
            ( ( ! [X131: $i] :
                  ( ( in @ X131 @ X130 )
                 => ( in @ X131 @ X119 ) )
              & ? [X132: $i] : ( in @ X132 @ X130 ) )
           => ? [X133: $i,X134: $i] :
                ( ( in @ X133 @ X120 )
                & ( in @ X134 @ X130 )
                & ~ ? [X135: $i] :
                      ( ( in @ X135 @ X133 )
                      & ( in @ X135 @ X130 ) )
                & ! [X136: $i] :
                    ( ( in @ X136 @ X120 )
                   => ( ! [X137: $i] :
                          ( ( in @ X137 @ X136 )
                         => ( in @ X137 @ X133 ) )
                      | ( in @ X134 @ X136 ) ) ) ) ) ) ),
    introduced(definition) ).

thf(c_0_38,negated_conjecture,
    ~ ( ! [X93: $i,X94: $i] :
          ( ! [X95: $i] :
              ( ( in @ X95 @ X93 )
            <=> ( in @ X95 @ X94 ) )
         => ( X93 = X94 ) )
     => ( ! [X96: $i] :
            ~ ( in @ X96 @ emptyset )
       => ( ! [X97: $i,X98: $i,X99: $i] :
              ( ( in @ X99 @ ( setadjoin @ X97 @ X98 ) )
            <=> ( ( X99 = X97 )
                | ( in @ X99 @ X98 ) ) )
         => ( ! [X100: $i,X101: $i] :
                ( ( in @ X101 @ ( powerset @ X100 ) )
              <=> ! [X102: $i] :
                    ( ( in @ X102 @ X101 )
                   => ( in @ X102 @ X100 ) ) )
           => ( setunionAx
             => ( ( in @ emptyset @ omega )
               => ( ! [X103: $i] :
                      ( ( in @ X103 @ omega )
                     => ( in @ ( setadjoin @ X103 @ X103 ) @ omega ) )
                 => ( ! [X104: $i] :
                        ( ( ( in @ emptyset @ X104 )
                          & ! [X105: $i] :
                              ( ( ( in @ X105 @ omega )
                                & ( in @ X105 @ X104 ) )
                             => ( in @ ( setadjoin @ X105 @ X105 ) @ X104 ) ) )
                       => ! [X106: $i] :
                            ( ( in @ X106 @ omega )
                           => ( in @ X106 @ X104 ) ) )
                   => ( ! [X107: $i > $i > $o,X108: $i] :
                          ( ! [X109: $i] :
                              ( ( in @ X109 @ X108 )
                             => ? [X110: $i] :
                                  ( ( X107 @ X109 @ X110 )
                                  & ! [X111: $i] :
                                      ( ( X107 @ X109 @ X111 )
                                     => ( X110 = X111 ) ) ) )
                         => ? [X112: $i] :
                            ! [X113: $i] :
                              ( ( in @ X113 @ X112 )
                            <=> ? [X114: $i] :
                                  ( ( in @ X114 @ X108 )
                                  & ( X107 @ X114 @ X113 ) ) ) )
                     => ( ! [X115: $i] :
                            ( ? [X116: $i] : ( in @ X116 @ X115 )
                           => ? [X117: $i] :
                                ( ( in @ X117 @ X115 )
                                & ~ ? [X118: $i] :
                                      ( ( in @ X118 @ X117 )
                                      & ( in @ X118 @ X115 ) ) ) )
                       => ( epred1_0
                         => ( descrp
                           => ( ! [X138: $i,X139: $i > $o,X140: $i] :
                                  ( ( in @ X140 @ X138 )
                                 => ( ( X139 @ X140 )
                                   => ( in @ X140
                                      @ ( dsetconstr @ X138
                                        @ ^ [Z0: $i] : ( X139 @ Z0 ) ) ) ) )
                             => ( ! [X141: $i,X142: $i > $o,X143: $i] :
                                    ( ( in @ X143
                                      @ ( dsetconstr @ X141
                                        @ ^ [Z0: $i] : ( X142 @ Z0 ) ) )
                                   => ( in @ X143 @ X141 ) )
                               => ( ! [X144: $i,X145: $i > $o,X146: $i] :
                                      ( ( in @ X146
                                        @ ( dsetconstr @ X144
                                          @ ^ [Z0: $i] : ( X145 @ Z0 ) ) )
                                     => ( X145 @ X146 ) )
                                 => ( ! [X147: $i > $o] :
                                        ( ? [X148: $i] :
                                            ( ( X147 @ X148 )
                                            & ! [X149: $i] :
                                                ( ( X147 @ X149 )
                                               => ( X148 = X149 ) ) )
                                       => ? [X150: $i] :
                                            ( ( X147 @ X150 )
                                            & ! [X151: $i] :
                                                ( ( X147 @ X151 )
                                               => ( X150 = X151 ) ) ) )
                                   => ( ! [X152: $o,X153: $i] :
                                          ( ( in @ X153
                                            @ ( dsetconstr @ ( powerset @ emptyset )
                                              @ ^ [Z0: $i] : X152 ) )
                                         => X152 )
                                     => ( ! [X154: $i] :
                                            ( ( in @ X154 @ emptyset )
                                           => ! [X155: $o] : X155 )
                                       => ( ! [X156: $i] :
                                              ~ ( in @ X156 @ emptyset )
                                         => ( ! [X157: $i] :
                                                ~ ( in @ X157 @ emptyset )
                                           => ( ! [X158: $i > $o] :
                                                  ( ? [X159: $i] :
                                                      ( ( X158 @ X159 )
                                                      & ! [X160: $i] :
                                                          ( ( X158 @ X160 )
                                                         => ( X159 = X160 ) ) )
                                                 => ? [X161: $i] : ( X158 @ X161 ) )
                                             => ( ! [X162: $i,X163: $i] :
                                                    ( ! [X164: $i] :
                                                        ( ( in @ X164 @ X162 )
                                                       => ( in @ X164 @ X163 ) )
                                                   => ( ! [X165: $i] :
                                                          ( ( in @ X165 @ X163 )
                                                         => ( in @ X165 @ X162 ) )
                                                     => ( X162 = X163 ) ) )
                                               => ( ! [X166: $i] :
                                                      ( ! [X167: $i] :
                                                          ~ ( in @ X167 @ X166 )
                                                     => ( X166 = emptyset ) )
                                                 => ( ! [X168: $i] :
                                                        ( ! [X169: $i] :
                                                            ~ ( in @ X169 @ X168 )
                                                       => ( X168 = emptyset ) )
                                                   => ! [X4: $i,X1: $i > $o,X2: $i] :
                                                        ( ( in @ X2 @ X4 )
                                                       => ( ( in @ X2
                                                            @ ( dsetconstr @ X4
                                                              @ ^ [Z0: $i] : ( X1 @ Z0 ) ) )
                                                        <=> ( X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[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)],[setbeta])]),c_0_30]),noeltsimpempty]),wellorderingAx]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),emptysetE]),emptysetimpfalse]),setextAx]),notinemptyset]),c_0_36]),emptysetAx]),setext]),emptyI]),setadjoinAx]),powersetAx]),omega0Ax]),omegaSAx]),omegaIndAx]),foundationAx])]),c_0_37]) ).

thf(c_0_39,negated_conjecture,
    ! [X170: $i,X171: $i,X173: $i,X174: $i,X175: $i,X176: $i,X177: $i,X178: $i,X179: $i,X180: $i,X181: $i,X183: $i,X184: $i,X186: $i,X187: $i > $i > $o,X188: $i,X190: $i,X193: $i,X195: $i,X196: $i,X197: $i,X198: $i,X200: $i,X201: $i,X202: $i > $o,X203: $i,X204: $i,X205: $i > $o,X206: $i,X207: $i,X208: $i > $o,X209: $i,X210: $i > $o,X211: $i,X214: $i,X215: $o,X216: $i,X217: $i,X218: $o,X219: $i,X220: $i,X221: $i > $o,X222: $i,X225: $i,X226: $i,X229: $i,X231: $i] :
      ( ( ~ ( in @ ( esk1_2 @ X170 @ X171 ) @ X170 )
        | ~ ( in @ ( esk1_2 @ X170 @ X171 ) @ X171 )
        | ( X170 = X171 ) )
      & ( ( in @ ( esk1_2 @ X170 @ X171 ) @ X170 )
        | ( in @ ( esk1_2 @ X170 @ X171 ) @ X171 )
        | ( X170 = X171 ) )
      & ~ ( in @ X173 @ emptyset )
      & ( ~ ( in @ X176 @ ( setadjoin @ X174 @ X175 ) )
        | ( X176 = X174 )
        | ( in @ X176 @ X175 ) )
      & ( ( X176 != X174 )
        | ( in @ X176 @ ( setadjoin @ X174 @ X175 ) ) )
      & ( ~ ( in @ X176 @ X175 )
        | ( in @ X176 @ ( setadjoin @ X174 @ X175 ) ) )
      & ( ~ ( in @ X178 @ ( powerset @ X177 ) )
        | ~ ( in @ X179 @ X178 )
        | ( in @ X179 @ X177 ) )
      & ( ( in @ ( esk2_2 @ X180 @ X181 ) @ X181 )
        | ( in @ X181 @ ( powerset @ X180 ) ) )
      & ( ~ ( in @ ( esk2_2 @ X180 @ X181 ) @ X180 )
        | ( in @ X181 @ ( powerset @ X180 ) ) )
      & setunionAx
      & ( in @ emptyset @ omega )
      & ( ~ ( in @ X183 @ omega )
        | ( in @ ( setadjoin @ X183 @ X183 ) @ omega ) )
      & ( ( in @ ( esk3_1 @ X184 ) @ omega )
        | ~ ( in @ emptyset @ X184 )
        | ~ ( in @ X186 @ omega )
        | ( in @ X186 @ X184 ) )
      & ( ( in @ ( esk3_1 @ X184 ) @ X184 )
        | ~ ( in @ emptyset @ X184 )
        | ~ ( in @ X186 @ omega )
        | ( in @ X186 @ X184 ) )
      & ( ~ ( in @ ( setadjoin @ ( esk3_1 @ X184 ) @ ( esk3_1 @ X184 ) ) @ X184 )
        | ~ ( in @ emptyset @ X184 )
        | ~ ( in @ X186 @ omega )
        | ( in @ X186 @ X184 ) )
      & ( ( in @ ( esk7_3 @ X187 @ X188 @ X193 ) @ X188 )
        | ~ ( in @ X193 @ ( esk6_2 @ X187 @ X188 ) )
        | ( in @ ( esk4_2 @ X187 @ X188 ) @ X188 ) )
      & ( ( X187 @ ( esk7_3 @ X187 @ X188 @ X193 ) @ X193 )
        | ~ ( in @ X193 @ ( esk6_2 @ X187 @ X188 ) )
        | ( in @ ( esk4_2 @ X187 @ X188 ) @ X188 ) )
      & ( ~ ( in @ X196 @ X188 )
        | ~ ( X187 @ X196 @ X195 )
        | ( in @ X195 @ ( esk6_2 @ X187 @ X188 ) )
        | ( in @ ( esk4_2 @ X187 @ X188 ) @ X188 ) )
      & ( ( in @ ( esk7_3 @ X187 @ X188 @ X193 ) @ X188 )
        | ~ ( in @ X193 @ ( esk6_2 @ X187 @ X188 ) )
        | ( X187 @ ( esk4_2 @ X187 @ X188 ) @ ( esk5_3 @ X187 @ X188 @ X190 ) )
        | ~ ( X187 @ ( esk4_2 @ X187 @ X188 ) @ X190 ) )
      & ( ( X187 @ ( esk7_3 @ X187 @ X188 @ X193 ) @ X193 )
        | ~ ( in @ X193 @ ( esk6_2 @ X187 @ X188 ) )
        | ( X187 @ ( esk4_2 @ X187 @ X188 ) @ ( esk5_3 @ X187 @ X188 @ X190 ) )
        | ~ ( X187 @ ( esk4_2 @ X187 @ X188 ) @ X190 ) )
      & ( ~ ( in @ X196 @ X188 )
        | ~ ( X187 @ X196 @ X195 )
        | ( in @ X195 @ ( esk6_2 @ X187 @ X188 ) )
        | ( X187 @ ( esk4_2 @ X187 @ X188 ) @ ( esk5_3 @ X187 @ X188 @ X190 ) )
        | ~ ( X187 @ ( esk4_2 @ X187 @ X188 ) @ X190 ) )
      & ( ( in @ ( esk7_3 @ X187 @ X188 @ X193 ) @ X188 )
        | ~ ( in @ X193 @ ( esk6_2 @ X187 @ X188 ) )
        | ( X190
         != ( esk5_3 @ X187 @ X188 @ X190 ) )
        | ~ ( X187 @ ( esk4_2 @ X187 @ X188 ) @ X190 ) )
      & ( ( X187 @ ( esk7_3 @ X187 @ X188 @ X193 ) @ X193 )
        | ~ ( in @ X193 @ ( esk6_2 @ X187 @ X188 ) )
        | ( X190
         != ( esk5_3 @ X187 @ X188 @ X190 ) )
        | ~ ( X187 @ ( esk4_2 @ X187 @ X188 ) @ X190 ) )
      & ( ~ ( in @ X196 @ X188 )
        | ~ ( X187 @ X196 @ X195 )
        | ( in @ X195 @ ( esk6_2 @ X187 @ X188 ) )
        | ( X190
         != ( esk5_3 @ X187 @ X188 @ X190 ) )
        | ~ ( X187 @ ( esk4_2 @ X187 @ X188 ) @ X190 ) )
      & ( ( in @ ( esk8_1 @ X197 ) @ X197 )
        | ~ ( in @ X198 @ X197 ) )
      & ( ~ ( in @ X200 @ ( esk8_1 @ X197 ) )
        | ~ ( in @ X200 @ X197 )
        | ~ ( in @ X198 @ X197 ) )
      & epred1_0
      & descrp
      & ( ~ ( in @ X203 @ X201 )
        | ~ ( X202 @ X203 )
        | ( in @ X203
          @ ( dsetconstr @ X201
            @ ^ [Z0: $i] : ( X202 @ Z0 ) ) ) )
      & ( ~ ( in @ X206
            @ ( dsetconstr @ X204
              @ ^ [Z0: $i] : ( X205 @ Z0 ) ) )
        | ( in @ X206 @ X204 ) )
      & ( ~ ( in @ X209
            @ ( dsetconstr @ X207
              @ ^ [Z0: $i] : ( X208 @ Z0 ) ) )
        | ( X208 @ X209 ) )
      & ( ( X210 @ ( esk10_1 @ X210 ) )
        | ( X210 @ ( esk9_2 @ X210 @ X211 ) )
        | ~ ( X210 @ X211 ) )
      & ( ~ ( X210 @ X214 )
        | ( ( esk10_1 @ X210 )
          = X214 )
        | ( X210 @ ( esk9_2 @ X210 @ X211 ) )
        | ~ ( X210 @ X211 ) )
      & ( ( X210 @ ( esk10_1 @ X210 ) )
        | ( X211
         != ( esk9_2 @ X210 @ X211 ) )
        | ~ ( X210 @ X211 ) )
      & ( ~ ( X210 @ X214 )
        | ( ( esk10_1 @ X210 )
          = X214 )
        | ( X211
         != ( esk9_2 @ X210 @ X211 ) )
        | ~ ( X210 @ X211 ) )
      & ( ~ ( in @ X216
            @ ( dsetconstr @ ( powerset @ emptyset )
              @ ^ [Z0: $i] : X215 ) )
        | X215 )
      & ( ~ ( in @ X217 @ emptyset )
        | X218 )
      & ~ ( in @ X219 @ emptyset )
      & ~ ( in @ X220 @ emptyset )
      & ( ( X221 @ ( esk11_2 @ X221 @ X222 ) )
        | ~ ( X221 @ X222 )
        | ( X221 @ ( esk12_1 @ X221 ) ) )
      & ( ( X222
         != ( esk11_2 @ X221 @ X222 ) )
        | ~ ( X221 @ X222 )
        | ( X221 @ ( esk12_1 @ X221 ) ) )
      & ( ( in @ ( esk14_2 @ X225 @ X226 ) @ X226 )
        | ( X225 = X226 )
        | ( in @ ( esk13_2 @ X225 @ X226 ) @ X225 ) )
      & ( ~ ( in @ ( esk14_2 @ X225 @ X226 ) @ X225 )
        | ( X225 = X226 )
        | ( in @ ( esk13_2 @ X225 @ X226 ) @ X225 ) )
      & ( ( in @ ( esk14_2 @ X225 @ X226 ) @ X226 )
        | ( X225 = X226 )
        | ~ ( in @ ( esk13_2 @ X225 @ X226 ) @ X226 ) )
      & ( ~ ( in @ ( esk14_2 @ X225 @ X226 ) @ X225 )
        | ( X225 = X226 )
        | ~ ( in @ ( esk13_2 @ X225 @ X226 ) @ X226 ) )
      & ( ( in @ ( esk15_1 @ X229 ) @ X229 )
        | ( X229 = emptyset ) )
      & ( ( in @ ( esk16_1 @ X231 ) @ X231 )
        | ( X231 = emptyset ) )
      & ( in @ esk18_0 @ esk17_0 )
      & ( ~ ( in @ esk18_0
            @ ( dsetconstr @ esk17_0
              @ ^ [Z0: $i] : ( epred2_0 @ Z0 ) ) )
        | ~ ( epred2_0 @ esk18_0 ) )
      & ( ( in @ esk18_0
          @ ( dsetconstr @ esk17_0
            @ ^ [Z0: $i] : ( epred2_0 @ Z0 ) ) )
        | ( epred2_0 @ esk18_0 ) ) ),
    inference(distribute,[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_38])])])])])]) ).

thf(c_0_40,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i > $o] :
      ( ( X1 @ X2 )
      | ~ ( in @ X2 @ ( dsetconstr @ X3 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

thf(c_0_41,negated_conjecture,
    ( ( in @ esk18_0 @ ( dsetconstr @ esk17_0 @ epred2_0 ) )
    | ( epred2_0 @ esk18_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

thf(c_0_42,negated_conjecture,
    ( ~ ( in @ esk18_0 @ ( dsetconstr @ esk17_0 @ epred2_0 ) )
    | ~ ( epred2_0 @ esk18_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

thf(c_0_43,negated_conjecture,
    epred2_0 @ esk18_0,
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

thf(c_0_44,negated_conjecture,
    ~ ( in @ esk18_0 @ ( dsetconstr @ esk17_0 @ epred2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).

thf(c_0_45,negated_conjecture,
    ! [X1: $i > $o,X3: $i,X2: $i] :
      ( ( in @ X2 @ ( dsetconstr @ X3 @ X1 ) )
      | ~ ( in @ X2 @ X3 )
      | ~ ( X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

thf(c_0_46,negated_conjecture,
    in @ esk18_0 @ esk17_0,
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

thf(c_0_47,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_43])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU508^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 19 16:14:22 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  Running higher-order theorem proving
% 0.18/0.46  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
% 0.18/0.49  # Version: 3.1.0-ho
% 0.18/0.49  # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.49  # Starting sh5l with 300s (1) cores
% 0.18/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49  # Starting new_bool_2 with 300s (1) cores
% 0.18/0.49  # new_bool_2 with pid 29205 completed with status 0
% 0.18/0.49  # Result found by new_bool_2
% 0.18/0.49  # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.49  # Starting sh5l with 300s (1) cores
% 0.18/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49  # Starting new_bool_2 with 300s (1) cores
% 0.18/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49  # Search class: HGHSF-FFMM31-SHSSMSBN
% 0.18/0.49  # partial match(1): HGHSM-FFMM31-SHSSMSBN
% 0.18/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49  # Starting new_ho_10 with 181s (1) cores
% 0.18/0.49  # new_ho_10 with pid 29206 completed with status 0
% 0.18/0.49  # Result found by new_ho_10
% 0.18/0.49  # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.49  # Starting sh5l with 300s (1) cores
% 0.18/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49  # Starting new_bool_2 with 300s (1) cores
% 0.18/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49  # Search class: HGHSF-FFMM31-SHSSMSBN
% 0.18/0.49  # partial match(1): HGHSM-FFMM31-SHSSMSBN
% 0.18/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49  # Starting new_ho_10 with 181s (1) cores
% 0.18/0.49  # Preprocessing time       : 0.002 s
% 0.18/0.49  # Presaturation interreduction done
% 0.18/0.49  
% 0.18/0.49  # Proof found!
% 0.18/0.49  # SZS status Theorem
% 0.18/0.49  # SZS output start CNFRefutation
% See solution above
% 0.18/0.49  # Parsed axioms                        : 61
% 0.18/0.49  # Removed by relevancy pruning/SinE    : 36
% 0.18/0.49  # Initial clauses                      : 63
% 0.18/0.49  # Removed in clause preprocessing      : 0
% 0.18/0.49  # Initial clauses in saturation        : 63
% 0.18/0.49  # Processed clauses                    : 100
% 0.18/0.49  # ...of these trivial                  : 0
% 0.18/0.49  # ...subsumed                          : 5
% 0.18/0.49  # ...remaining for further processing  : 95
% 0.18/0.49  # Other redundant clauses eliminated   : 1
% 0.18/0.49  # Clauses deleted for lack of memory   : 0
% 0.18/0.49  # Backward-subsumed                    : 0
% 0.18/0.49  # Backward-rewritten                   : 3
% 0.18/0.49  # Generated clauses                    : 55
% 0.18/0.49  # ...of the previous two non-redundant : 45
% 0.18/0.49  # ...aggressively subsumed             : 0
% 0.18/0.49  # Contextual simplify-reflections      : 0
% 0.18/0.49  # Paramodulations                      : 54
% 0.18/0.49  # Factorizations                       : 0
% 0.18/0.49  # NegExts                              : 0
% 0.18/0.49  # Equation resolutions                 : 1
% 0.18/0.49  # Disequality decompositions           : 0
% 0.18/0.49  # Total rewrite steps                  : 21
% 0.18/0.49  # ...of those cached                   : 15
% 0.18/0.49  # Propositional unsat checks           : 0
% 0.18/0.49  #    Propositional check models        : 0
% 0.18/0.49  #    Propositional check unsatisfiable : 0
% 0.18/0.49  #    Propositional clauses             : 0
% 0.18/0.49  #    Propositional clauses after purity: 0
% 0.18/0.49  #    Propositional unsat core size     : 0
% 0.18/0.49  #    Propositional preprocessing time  : 0.000
% 0.18/0.49  #    Propositional encoding time       : 0.000
% 0.18/0.49  #    Propositional solver time         : 0.000
% 0.18/0.49  #    Success case prop preproc time    : 0.000
% 0.18/0.49  #    Success case prop encoding time   : 0.000
% 0.18/0.49  #    Success case prop solver time     : 0.000
% 0.18/0.49  # Current number of processed clauses  : 31
% 0.18/0.49  #    Positive orientable unit clauses  : 12
% 0.18/0.49  #    Positive unorientable unit clauses: 0
% 0.18/0.49  #    Negative unit clauses             : 2
% 0.18/0.49  #    Non-unit-clauses                  : 17
% 0.18/0.49  # Current number of unprocessed clauses: 67
% 0.18/0.49  # ...number of literals in the above   : 209
% 0.18/0.49  # Current number of archived formulas  : 0
% 0.18/0.49  # Current number of archived clauses   : 63
% 0.18/0.49  # Clause-clause subsumption calls (NU) : 1261
% 0.18/0.49  # Rec. Clause-clause subsumption calls : 504
% 0.18/0.49  # Non-unit clause-clause subsumptions  : 3
% 0.18/0.49  # Unit Clause-clause subsumption calls : 14
% 0.18/0.49  # Rewrite failures with RHS unbound    : 0
% 0.18/0.49  # BW rewrite match attempts            : 4
% 0.18/0.49  # BW rewrite match successes           : 2
% 0.18/0.49  # Condensation attempts                : 100
% 0.18/0.49  # Condensation successes               : 3
% 0.18/0.49  # Termbank termtop insertions          : 9150
% 0.18/0.49  # Search garbage collected termcells   : 2447
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.017 s
% 0.18/0.49  # System time              : 0.000 s
% 0.18/0.49  # Total time               : 0.018 s
% 0.18/0.49  # Maximum resident set size: 2516 pages
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.018 s
% 0.18/0.49  # System time              : 0.004 s
% 0.18/0.49  # Total time               : 0.022 s
% 0.18/0.49  # Maximum resident set size: 1796 pages
% 0.18/0.49  % E---3.1 exiting
% 0.18/0.49  % E exiting
%------------------------------------------------------------------------------