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Leo-III---1.8.0.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : NUM625+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:09:20 AM UTC 2026

% Result   : ContradictoryAxioms 154.92s 91.41s
% Output   : Refutation 154.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   57 (  23 unt;   0 typ;   3 def)
%            Number of atoms       :  268 (  55 equ;   0 cnn)
%            Maximal formula atoms :   64 (   4 avg)
%            Number of connectives :  703 ( 115   ~; 101   |;  62   &; 388   @)
%                                         (   3 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :   78 (   8   ^;  67   !;   0   ?;  78   :)
%                                         (   0  !>;   0  ?*;   0  @-;   3  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(aSet0_decl,type,
    aSet0: $i > $o ).

thf(aElementOf0_decl,type,
    aElementOf0: $i > $i > $o ).

thf(aSubsetOf0_decl,type,
    aSubsetOf0: $i > $i > $o ).

thf(aElement0_decl,type,
    aElement0: $i > $o ).

thf(sdtmndt0_decl,type,
    sdtmndt0: $i > $i > $i ).

thf(szNzAzT0_decl,type,
    szNzAzT0: $i ).

thf(szmzizndt0_decl,type,
    szmzizndt0: $i > $i ).

thf(isCountable0_decl,type,
    isCountable0: $i > $o ).

thf(xQ_decl,type,
    xQ: $i ).

thf(xp_decl,type,
    xp: $i ).

thf(xP_decl,type,
    xP: $i ).

thf(xx_decl,type,
    xx: $i ).

thf(sk18_decl,type,
    sk18: $i > $i > $i > $o ).

thf(sk19_decl,type,
    sk19: $i > $i > $i > $i ).

thf(sk20_decl,type,
    sk20: $i > $i > $i > $i ).

thf(sk24_decl,type,
    sk24: $i > $i > $i ).

thf(sk19_def,definition,
    ( sk19
    = ( ^ [A: $i,B: $i,C: $i] :
        @+[D: $i] :
          ~ ( ( A @ ( D @ aElementOf0 ) )
           => ( ( D != B )
              & ( C @ ( D @ aElementOf0 ) )
              & ( D @ aElement0 ) ) ) ) ) ).

thf(sk20_def,definition,
    ( sk20
    = ( ^ [A: $i,B: $i,C: $i] :
        @+[D: $i] :
          ~ ( ( ( D != B )
              & ( C @ ( D @ aElementOf0 ) )
              & ( D @ aElement0 ) )
           => ( A @ ( D @ aElementOf0 ) ) ) ) ) ).

thf(sk24_def,definition,
    ( sk24
    = ( ^ [A: $i,B: $i] :
        @+[C: $i] :
          ~ ( ( A @ ( C @ aElementOf0 ) )
           => ( B @ ( C @ aElementOf0 ) ) ) ) ) ).

thf(107,axiom,
    xQ @ ( xp @ aElementOf0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5173) ).

thf(687,plain,
    xQ @ ( xp @ aElementOf0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).

thf(16,axiom,
    ! [A: $i] :
      ( ( A @ aSet0 )
     => ! [B: $i] :
          ( ( A @ ( B @ aElementOf0 ) )
         => ( B @ aElement0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

thf(387,plain,
    ! [A: $i] :
      ( ( A @ aSet0 )
     => ! [B: $i] :
          ( ( A @ ( B @ aElementOf0 ) )
         => ( B @ aElement0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(388,plain,
    ! [B: $i,A: $i] :
      ( ( B @ aElement0 )
      | ~ ( A @ ( B @ aElementOf0 ) )
      | ~ ( A @ aSet0 ) ),
    inference(cnf,[status(esa)],[387]) ).

thf(164261,plain,
    ! [B: $i,A: $i] :
      ( ( ( xQ @ ( xp @ aElementOf0 ) )
       != ( A @ ( B @ aElementOf0 ) ) )
      | ( B @ aElement0 )
      | ~ $true
      | ~ ( A @ aSet0 ) ),
    inference(paramod_ordered,[status(thm)],[687,388]) ).

thf(164262,plain,
    ! [B: $i,A: $i] :
      ( ( ( xQ @ ( xp @ aElementOf0 ) )
       != ( A @ ( B @ aElementOf0 ) ) )
      | ( B @ aElement0 )
      | ~ ( A @ aSet0 ) ),
    inference(simp,[status(thm)],[164261]) ).

thf(164263,plain,
    ( ( xp @ aElement0 )
    | ~ ( xQ @ aSet0 ) ),
    inference(pattern_uni,[status(thm)],[164262:[bind(A,$thf( xQ )),bind(B,$thf( xp ))]]) ).

thf(103,axiom,
    szNzAzT0 @ ( xQ @ aSubsetOf0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).

thf(678,plain,
    szNzAzT0 @ ( xQ @ aSubsetOf0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ( A @ aSet0 )
     => ! [B: $i] :
          ( ( A @ ( B @ aSubsetOf0 ) )
        <=> ( ! [C: $i] :
                ( ( B @ ( C @ aElementOf0 ) )
               => ( A @ ( C @ aElementOf0 ) ) )
            & ( B @ aSet0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

thf(364,plain,
    ! [A: $i] :
      ( ( A @ aSet0 )
     => ! [B: $i] :
          ( ( ( ! [C: $i] :
                  ( ( B @ ( C @ aElementOf0 ) )
                 => ( A @ ( C @ aElementOf0 ) ) )
              & ( B @ aSet0 ) )
           => ( A @ ( B @ aSubsetOf0 ) ) )
          & ( ( A @ ( B @ aSubsetOf0 ) )
           => ( ! [C: $i] :
                  ( ( B @ ( C @ aElementOf0 ) )
                 => ( A @ ( C @ aElementOf0 ) ) )
              & ( B @ aSet0 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(365,plain,
    ! [A: $i] :
      ( ( A @ aSet0 )
     => ( ! [B: $i] :
            ( ( ! [C: $i] :
                  ( ( B @ ( C @ aElementOf0 ) )
                 => ( A @ ( C @ aElementOf0 ) ) )
              & ( B @ aSet0 ) )
           => ( A @ ( B @ aSubsetOf0 ) ) )
        & ! [B: $i] :
            ( ( A @ ( B @ aSubsetOf0 ) )
           => ( ! [C: $i] :
                  ( ( B @ ( C @ aElementOf0 ) )
                 => ( A @ ( C @ aElementOf0 ) ) )
              & ( B @ aSet0 ) ) ) ) ),
    inference(miniscope,[status(thm)],[364]) ).

thf(366,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( A @ ( D @ aSubsetOf0 ) )
        | ~ ( A @ ( A @ ( D @ sk24 ) @ aElementOf0 ) )
        | ~ ( D @ aSet0 )
        | ~ ( A @ aSet0 ) )
      & ( ( A @ ( D @ aSubsetOf0 ) )
        | ( D @ ( A @ ( D @ sk24 ) @ aElementOf0 ) )
        | ~ ( D @ aSet0 )
        | ~ ( A @ aSet0 ) )
      & ( ( A @ ( C @ aElementOf0 ) )
        | ~ ( B @ ( C @ aElementOf0 ) )
        | ~ ( A @ ( B @ aSubsetOf0 ) )
        | ~ ( A @ aSet0 ) )
      & ( ( B @ aSet0 )
        | ~ ( A @ ( B @ aSubsetOf0 ) )
        | ~ ( A @ aSet0 ) ) ),
    inference(cnf,[status(esa)],[365]) ).

thf(367,plain,
    ! [B: $i,A: $i] :
      ( ( B @ aSet0 )
      | ~ ( A @ ( B @ aSubsetOf0 ) )
      | ~ ( A @ aSet0 ) ),
    inference(cnfConj,[status(thm)],[366]) ).

thf(153012,plain,
    ! [B: $i,A: $i] :
      ( ( ( szNzAzT0 @ ( xQ @ aSubsetOf0 ) )
       != ( A @ ( B @ aSubsetOf0 ) ) )
      | ( B @ aSet0 )
      | ~ $true
      | ~ ( A @ aSet0 ) ),
    inference(paramod_ordered,[status(thm)],[678,367]) ).

thf(153013,plain,
    ! [B: $i,A: $i] :
      ( ( ( szNzAzT0 @ ( xQ @ aSubsetOf0 ) )
       != ( A @ ( B @ aSubsetOf0 ) ) )
      | ( B @ aSet0 )
      | ~ ( A @ aSet0 ) ),
    inference(simp,[status(thm)],[153012]) ).

thf(153014,plain,
    ( ( xQ @ aSet0 )
    | ~ ( szNzAzT0 @ aSet0 ) ),
    inference(pattern_uni,[status(thm)],[153013:[bind(A,$thf( szNzAzT0 )),bind(B,$thf( xQ ))]]) ).

thf(32,axiom,
    ( ( szNzAzT0 @ isCountable0 )
    & ( szNzAzT0 @ aSet0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).

thf(421,plain,
    ( ( szNzAzT0 @ isCountable0 )
    & ( szNzAzT0 @ aSet0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(422,plain,
    ( ( szNzAzT0 @ isCountable0 )
    & ( szNzAzT0 @ aSet0 ) ),
    inference(cnf,[status(esa)],[421]) ).

thf(423,plain,
    szNzAzT0 @ aSet0,
    inference(cnfConj,[status(thm)],[422]) ).

thf(153218,plain,
    ( ( xQ @ aSet0 )
    | ~ $true ),
    inference(rewrite,[status(thm)],[153014,423]) ).

thf(153219,plain,
    xQ @ aSet0,
    inference(simp,[status(thm)],[153218]) ).

thf(106,axiom,
    ( ( xP
      = ( xQ @ szmzizndt0 @ ( xQ @ sdtmndt0 ) ) )
    & ( xP @ aSet0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).

thf(682,plain,
    ( ( xP
      = ( xQ @ szmzizndt0 @ ( xQ @ sdtmndt0 ) ) )
    & ( xP @ aSet0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).

thf(683,plain,
    ( ( xP
      = ( xQ @ szmzizndt0 @ ( xQ @ sdtmndt0 ) ) )
    & ( xP @ aSet0 ) ),
    inference(cnf,[status(esa)],[682]) ).

thf(685,plain,
    ( xP
    = ( xQ @ szmzizndt0 @ ( xQ @ sdtmndt0 ) ) ),
    inference(cnfConj,[status(thm)],[683]) ).

thf(686,plain,
    ( ( xQ @ szmzizndt0 @ ( xQ @ sdtmndt0 ) )
    = xP ),
    inference(lifteq,[status(thm)],[685]) ).

thf(105,axiom,
    ( xp
    = ( xQ @ szmzizndt0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).

thf(680,plain,
    ( xp
    = ( xQ @ szmzizndt0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(681,plain,
    ( ( xQ @ szmzizndt0 )
    = xp ),
    inference(lifteq,[status(thm)],[680]) ).

thf(2049,plain,
    ( ( xp @ ( xQ @ sdtmndt0 ) )
    = xP ),
    inference(rewrite,[status(thm)],[686,681]) ).

thf(10,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ aElement0 )
        & ( A @ aSet0 ) )
     => ! [C: $i] :
          ( ( C
            = ( B @ ( A @ sdtmndt0 ) ) )
        <=> ( ! [D: $i] :
                ( ( C @ ( D @ aElementOf0 ) )
              <=> ( ( D != B )
                  & ( A @ ( D @ aElementOf0 ) )
                  & ( D @ aElement0 ) ) )
            & ( C @ aSet0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

thf(292,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ aElement0 )
        & ( A @ aSet0 ) )
     => ! [C: $i] :
          ( ( ( ! [D: $i] :
                  ( ( ( ( D != B )
                      & ( A @ ( D @ aElementOf0 ) )
                      & ( D @ aElement0 ) )
                   => ( C @ ( D @ aElementOf0 ) ) )
                  & ( ( C @ ( D @ aElementOf0 ) )
                   => ( ( D != B )
                      & ( A @ ( D @ aElementOf0 ) )
                      & ( D @ aElement0 ) ) ) )
              & ( C @ aSet0 ) )
           => ( C
              = ( B @ ( A @ sdtmndt0 ) ) ) )
          & ( ( C
              = ( B @ ( A @ sdtmndt0 ) ) )
           => ( ! [D: $i] :
                  ( ( ( ( D != B )
                      & ( A @ ( D @ aElementOf0 ) )
                      & ( D @ aElement0 ) )
                   => ( C @ ( D @ aElementOf0 ) ) )
                  & ( ( C @ ( D @ aElementOf0 ) )
                   => ( ( D != B )
                      & ( A @ ( D @ aElementOf0 ) )
                      & ( D @ aElement0 ) ) ) )
              & ( C @ aSet0 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(293,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ aElement0 )
        & ( A @ aSet0 ) )
     => ( ! [C: $i] :
            ( ( ! [D: $i] :
                  ( ( ( D != B )
                    & ( A @ ( D @ aElementOf0 ) )
                    & ( D @ aElement0 ) )
                 => ( C @ ( D @ aElementOf0 ) ) )
              & ! [D: $i] :
                  ( ( C @ ( D @ aElementOf0 ) )
                 => ( ( D != B )
                    & ( A @ ( D @ aElementOf0 ) )
                    & ( D @ aElement0 ) ) )
              & ( C @ aSet0 ) )
           => ( C
              = ( B @ ( A @ sdtmndt0 ) ) ) )
        & ! [C: $i] :
            ( ( C
              = ( B @ ( A @ sdtmndt0 ) ) )
           => ( ! [D: $i] :
                  ( ( ( D != B )
                    & ( A @ ( D @ aElementOf0 ) )
                    & ( D @ aElement0 ) )
                 => ( C @ ( D @ aElementOf0 ) ) )
              & ! [D: $i] :
                  ( ( C @ ( D @ aElementOf0 ) )
                 => ( ( D != B )
                    & ( A @ ( D @ aElementOf0 ) )
                    & ( D @ aElement0 ) ) )
              & ( C @ aSet0 ) ) ) ) ),
    inference(miniscope,[status(thm)],[292]) ).

thf(294,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( F
          = ( B @ ( A @ sdtmndt0 ) ) )
        | ~ ( F @ ( A @ ( B @ ( F @ sk20 ) ) @ aElementOf0 ) )
        | ( F @ ( B @ ( A @ sk18 ) ) )
        | ~ ( F @ aSet0 )
        | ~ ( B @ aElement0 )
        | ~ ( A @ aSet0 ) )
      & ( ( F
          = ( B @ ( A @ sdtmndt0 ) ) )
        | ( ( A @ ( B @ ( F @ sk20 ) ) )
         != B )
        | ( F @ ( B @ ( A @ sk18 ) ) )
        | ~ ( F @ aSet0 )
        | ~ ( B @ aElement0 )
        | ~ ( A @ aSet0 ) )
      & ( ( F
          = ( B @ ( A @ sdtmndt0 ) ) )
        | ( A @ ( A @ ( B @ ( F @ sk20 ) ) @ aElementOf0 ) )
        | ( F @ ( B @ ( A @ sk18 ) ) )
        | ~ ( F @ aSet0 )
        | ~ ( B @ aElement0 )
        | ~ ( A @ aSet0 ) )
      & ( ( F
          = ( B @ ( A @ sdtmndt0 ) ) )
        | ( A @ ( B @ ( F @ sk20 ) ) @ aElement0 )
        | ( F @ ( B @ ( A @ sk18 ) ) )
        | ~ ( F @ aSet0 )
        | ~ ( B @ aElement0 )
        | ~ ( A @ aSet0 ) )
      & ( ( F
          = ( B @ ( A @ sdtmndt0 ) ) )
        | ~ ( F @ ( B @ ( A @ sk18 ) ) )
        | ( ( A @ ( B @ ( F @ sk19 ) ) )
          = B )
        | ~ ( A @ ( A @ ( B @ ( F @ sk19 ) ) @ aElementOf0 ) )
        | ~ ( A @ ( B @ ( F @ sk19 ) ) @ aElement0 )
        | ~ ( F @ aSet0 )
        | ~ ( B @ aElement0 )
        | ~ ( A @ aSet0 ) )
      & ( ( F
          = ( B @ ( A @ sdtmndt0 ) ) )
        | ~ ( F @ ( B @ ( A @ sk18 ) ) )
        | ( F @ ( A @ ( B @ ( F @ sk19 ) ) @ aElementOf0 ) )
        | ~ ( F @ aSet0 )
        | ~ ( B @ aElement0 )
        | ~ ( A @ aSet0 ) )
      & ( ( C @ ( E @ aElementOf0 ) )
        | ( E = B )
        | ~ ( A @ ( E @ aElementOf0 ) )
        | ~ ( E @ aElement0 )
        | ( C
         != ( B @ ( A @ sdtmndt0 ) ) )
        | ~ ( B @ aElement0 )
        | ~ ( A @ aSet0 ) )
      & ( ( D != B )
        | ~ ( C @ ( D @ aElementOf0 ) )
        | ( C
         != ( B @ ( A @ sdtmndt0 ) ) )
        | ~ ( B @ aElement0 )
        | ~ ( A @ aSet0 ) )
      & ( ( A @ ( D @ aElementOf0 ) )
        | ~ ( C @ ( D @ aElementOf0 ) )
        | ( C
         != ( B @ ( A @ sdtmndt0 ) ) )
        | ~ ( B @ aElement0 )
        | ~ ( A @ aSet0 ) )
      & ( ( D @ aElement0 )
        | ~ ( C @ ( D @ aElementOf0 ) )
        | ( C
         != ( B @ ( A @ sdtmndt0 ) ) )
        | ~ ( B @ aElement0 )
        | ~ ( A @ aSet0 ) )
      & ( ( C @ aSet0 )
        | ( C
         != ( B @ ( A @ sdtmndt0 ) ) )
        | ~ ( B @ aElement0 )
        | ~ ( A @ aSet0 ) ) ),
    inference(cnf,[status(esa)],[293]) ).

thf(295,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D != B )
      | ~ ( C @ ( D @ aElementOf0 ) )
      | ( C
       != ( B @ ( A @ sdtmndt0 ) ) )
      | ~ ( B @ aElement0 )
      | ~ ( A @ aSet0 ) ),
    inference(cnfConj,[status(thm)],[294]) ).

thf(312,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( D @ aElementOf0 ) )
      | ~ ( B @ aElement0 )
      | ~ ( A @ aSet0 )
      | ( D != B )
      | ( C
       != ( B @ ( A @ sdtmndt0 ) ) ) ),
    inference(lifteq,[status(thm)],[295]) ).

thf(313,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ sdtmndt0 ) @ ( B @ aElementOf0 ) )
      | ~ ( B @ aElement0 )
      | ~ ( A @ aSet0 ) ),
    inference(simp,[status(thm)],[312]) ).

thf(89176,plain,
    ! [B: $i,A: $i] :
      ( ( ( xp @ ( xQ @ sdtmndt0 ) )
       != ( B @ ( A @ sdtmndt0 ) ) )
      | ~ ( xP @ ( B @ aElementOf0 ) )
      | ~ ( B @ aElement0 )
      | ~ ( A @ aSet0 ) ),
    inference(paramod_ordered,[status(thm)],[2049,313]) ).

thf(89177,plain,
    ( ~ ( xP @ ( xp @ aElementOf0 ) )
    | ~ ( xp @ aElement0 )
    | ~ ( xQ @ aSet0 ) ),
    inference(pattern_uni,[status(thm)],[89176:[bind(A,$thf( xQ )),bind(B,$thf( xp ))]]) ).

thf(115,axiom,
    xP @ ( xx @ aElementOf0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).

thf(702,plain,
    xP @ ( xx @ aElementOf0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).

thf(122,axiom,
    xp = xx,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5496) ).

thf(721,plain,
    xp = xx,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).

thf(722,plain,
    xx = xp,
    inference(lifteq,[status(thm)],[721]) ).

thf(1364,plain,
    xP @ ( xp @ aElementOf0 ),
    inference(rewrite,[status(thm)],[702,722]) ).

thf(90083,plain,
    ( ~ $true
    | ~ ( xp @ aElement0 )
    | ~ ( xQ @ aSet0 ) ),
    inference(rewrite,[status(thm)],[89177,1364]) ).

thf(90084,plain,
    ( ~ ( xp @ aElement0 )
    | ~ ( xQ @ aSet0 ) ),
    inference(simp,[status(thm)],[90083]) ).

thf(153236,plain,
    ( ~ ( xp @ aElement0 )
    | ~ $true ),
    inference(rewrite,[status(thm)],[90084,153219]) ).

thf(153237,plain,
    ~ ( xp @ aElement0 ),
    inference(simp,[status(thm)],[153236]) ).

thf(167896,plain,
    ( $false
    | ~ $true ),
    inference(rewrite,[status(thm)],[164263,153219,153237]) ).

thf(167897,plain,
    $false,
    inference(simp,[status(thm)],[167896]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM625+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/5.40  % Computer : n004.cluster.edu
% 0.14/5.40  % Model    : x86_64 x86_64
% 0.14/5.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.40  % Memory   : 8046.5625MB
% 0.14/5.40  % OS       : Linux 6.8.0-71-generic
% 0.14/5.40  % CPULimit : 300
% 0.14/5.40  % WCLimit  : 300
% 0.14/5.40  % DateTime : Sat Sep 26 03:29:43 UTC 2026
% 0.14/5.40  % CPUTime  : 
% 0.14/5.40  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.17/5.98  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.49/6.27  % [INFO] 	 Parsing done (285ms). 
% 1.49/6.28  % [INFO] 	 Running in sequential loop mode. 
% 2.61/6.67  % [INFO] 	 eprover registered as external prover. 
% 2.61/6.67  % [INFO] 	 Scanning for conjecture ... 
% 2.84/6.74  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.84/6.75  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.84/6.78  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 2.84/6.78  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.02/6.80  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.02/6.80  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.02/6.81  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.02/6.82  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.02/6.82  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.02/6.83  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.02/6.84  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.02/6.87  % [INFO] 	 Found a conjecture (or negated_conjecture) and 120 axioms. Running axiom selection ... 
% 3.22/6.91  % [INFO] 	 Axiom selection finished. Selected 120 axioms (removed 0 axioms). 
% 3.22/6.91  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.22/6.92  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.22/6.92  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.22/6.92  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.22/6.92  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.22/6.92  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.22/6.93  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.22/6.93  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.22/6.93  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.22/6.93  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.22/6.93  % [INFO] 	 Definitions in FOF are currently treated as axioms. 
% 3.22/7.02  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 3.53/7.04  % [INFO] 	 Type checking passed. 
% 3.53/7.05  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 154.92/91.40  % [INFO] 	 Killing All external provers ... 
% 154.92/91.40  % Time passed: 85853ms (effective reasoning time: 85116ms)
% 154.92/91.41  % Axioms used in derivation (10): m__5173, mEOfElem, mDefDiff, m__5348, mNATSet, mDefSub, m__5496, m__5106, m__5147, m__5164
% 154.92/91.41  % No. of inferences in proof: 54
% 154.92/91.41  % SZS status ContradictoryAxioms for /export/starexec/sandbox2/benchmark/theBenchmark.p : 85853 ms resp. 85116 ms w/o parsing
% 154.92/91.47  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 154.92/91.47  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------