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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEU297+1 : TPTP v9.3.1. Released v3.3.0.
% 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 : n016.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 08:38:21 AM UTC 2026

% Result   : Theorem 8.17s 4.56s
% Output   : Refutation 8.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   68 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :  256 (   9 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  576 (  28   ~;   0   |; 136   &; 360   @)
%                                         (   3 <=>;  49  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   1 con; 0-2 aty)
%            Number of variables   :  112 (   0   ^;  72   !;  40   ?; 112   :)

% Comments : 
%------------------------------------------------------------------------------
thf(element_decl,type,
    element: $i > $i > $o ).

thf(powerset_decl,type,
    powerset: $i > $i ).

thf(relation_decl,type,
    relation: $i > $o ).

thf(function_decl,type,
    function: $i > $o ).

thf(in_decl,type,
    in: $i > $i > $o ).

thf(relation_dom_decl,type,
    relation_dom: $i > $i ).

thf(relation_image_decl,type,
    relation_image: $i > $i > $i ).

thf(empty_decl,type,
    empty: $i > $o ).

thf(epsilon_transitive_decl,type,
    epsilon_transitive: $i > $o ).

thf(epsilon_connected_decl,type,
    epsilon_connected: $i > $o ).

thf(ordinal_decl,type,
    ordinal: $i > $o ).

thf(finite_decl,type,
    finite: $i > $o ).

thf(natural_decl,type,
    natural: $i > $o ).

thf(one_to_one_decl,type,
    one_to_one: $i > $o ).

thf(6,axiom,
    ? [A: $i] :
      ( ( A @ finite )
      & ~ ( A @ empty ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).

thf(56,plain,
    ? [A: $i] :
      ( ( A @ finite )
      & ~ ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(19,axiom,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ empty )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).

thf(125,plain,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ empty )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(3,axiom,
    ? [A: $i] : ( A @ empty ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).

thf(46,plain,
    ? [A: $i] : ( A @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(26,axiom,
    ! [A: $i] :
      ~ ( A @ powerset @ empty ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).

thf(147,plain,
    ! [A: $i] :
      ~ ( A @ powerset @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(7,axiom,
    ? [A: $i] :
      ( ( A @ natural )
      & ( A @ ordinal )
      & ( A @ epsilon_connected )
      & ( A @ epsilon_transitive )
      & ~ ( A @ empty ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_arytm_3) ).

thf(60,plain,
    ? [A: $i] :
      ( ( A @ natural )
      & ( A @ ordinal )
      & ( A @ epsilon_connected )
      & ( A @ epsilon_transitive )
      & ~ ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(14,axiom,
    ? [A: $i] :
      ( ( A @ relation )
      & ( A @ empty ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).

thf(92,plain,
    ? [A: $i] :
      ( ( A @ relation )
      & ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(31,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ function ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).

thf(173,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ function ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ relation ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).

thf(134,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(34,axiom,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).

thf(191,plain,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(33,axiom,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).

thf(187,plain,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ( A @ ordinal )
     => ( ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).

thf(67,plain,
    ! [A: $i] :
      ( ( A @ ordinal )
     => ( ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(16,axiom,
    ? [A: $i] :
      ( ( A @ one_to_one )
      & ( A @ function )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).

thf(114,plain,
    ? [A: $i] :
      ( ( A @ one_to_one )
      & ( A @ function )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(17,axiom,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).

thf(119,plain,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(30,axiom,
    ? [A: $i] :
      ( ( A @ ordinal )
      & ( A @ epsilon_connected )
      & ( A @ epsilon_transitive )
      & ( A @ empty )
      & ( A @ one_to_one )
      & ( A @ function )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_ordinal1) ).

thf(164,plain,
    ? [A: $i] :
      ( ( A @ ordinal )
      & ( A @ epsilon_connected )
      & ( A @ epsilon_transitive )
      & ( A @ empty )
      & ( A @ one_to_one )
      & ( A @ function )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ finite ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).

thf(84,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ finite ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(5,axiom,
    ? [A: $i] :
      ~ ( A @ empty ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).

thf(53,plain,
    ? [A: $i] :
      ~ ( A @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ( A @ finite )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( B @ finite ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).

thf(141,plain,
    ! [A: $i] :
      ( ( A @ finite )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( B @ finite ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ( ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) )
     => ( A @ ordinal ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_ordinal1) ).

thf(77,plain,
    ! [A: $i] :
      ( ( ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) )
     => ( A @ ordinal ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(15,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ function )
        & ( C @ relation )
        & ( A @ powerset @ powerset @ ( B @ element ) ) )
     => ( ! [D: $i,E: $i,F: $i] :
            ( ( ( B @ ( F @ ( C @ relation_image ) @ in ) )
              & ( D = F )
              & ( B @ ( E @ ( C @ relation_image ) @ in ) )
              & ( D = E ) )
           => ( E = F ) )
       => ? [D: $i] :
          ! [E: $i] :
            ( ( D @ ( E @ in ) )
          <=> ? [F: $i] :
                ( ( B @ ( E @ ( C @ relation_image ) @ in ) )
                & ( F = E )
                & ( C @ relation_dom @ powerset @ ( F @ in ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e6_27__finset_1__1) ).

thf(96,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ function )
        & ( C @ relation )
        & ( A @ powerset @ powerset @ ( B @ element ) ) )
     => ( ! [D: $i,E: $i,F: $i] :
            ( ( ( B @ ( F @ ( C @ relation_image ) @ in ) )
              & ( D = F )
              & ( B @ ( E @ ( C @ relation_image ) @ in ) )
              & ( D = E ) )
           => ( E = F ) )
       => ? [D: $i] :
          ! [E: $i] :
            ( ( ? [F: $i] :
                  ( ( B @ ( E @ ( C @ relation_image ) @ in ) )
                  & ( F = E )
                  & ( C @ relation_dom @ powerset @ ( F @ in ) ) )
             => ( D @ ( E @ in ) ) )
            & ( ( D @ ( E @ in ) )
             => ? [F: $i] :
                  ( ( B @ ( E @ ( C @ relation_image ) @ in ) )
                  & ( F = E )
                  & ( C @ relation_dom @ powerset @ ( F @ in ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(9,axiom,
    ? [A: $i] :
      ( ( A @ ordinal )
      & ( A @ epsilon_connected )
      & ( A @ epsilon_transitive )
      & ~ ( A @ empty ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_ordinal1) ).

thf(71,plain,
    ? [A: $i] :
      ( ( A @ ordinal )
      & ( A @ epsilon_connected )
      & ( A @ epsilon_transitive )
      & ~ ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(13,axiom,
    ! [A: $i] :
      ( ( ( A @ ordinal )
        & ( A @ empty ) )
     => ( ( A @ natural )
        & ( A @ ordinal )
        & ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_arytm_3) ).

thf(86,plain,
    ! [A: $i] :
      ( ( ( A @ ordinal )
        & ( A @ empty ) )
     => ( ( A @ natural )
        & ( A @ ordinal )
        & ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(29,axiom,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ( B @ finite )
          & ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).

thf(159,plain,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ( B @ finite )
          & ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(20,axiom,
    ? [A: $i] :
      ( ( A @ relation )
      & ~ ( A @ empty ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).

thf(130,plain,
    ? [A: $i] :
      ( ( A @ relation )
      & ~ ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ function )
        & ( C @ relation )
        & ( A @ powerset @ powerset @ ( B @ element ) ) )
     => ? [D: $i] :
        ! [E: $i] :
          ( ( D @ ( E @ in ) )
        <=> ( ( B @ ( E @ ( C @ relation_image ) @ in ) )
            & ( C @ relation_dom @ powerset @ ( E @ in ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e6_27__finset_1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( C @ function )
          & ( C @ relation )
          & ( A @ powerset @ powerset @ ( B @ element ) ) )
       => ? [D: $i] :
          ! [E: $i] :
            ( ( D @ ( E @ in ) )
          <=> ( ( B @ ( E @ ( C @ relation_image ) @ in ) )
              & ( C @ relation_dom @ powerset @ ( E @ in ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(35,plain,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( C @ function )
          & ( C @ relation )
          & ( A @ powerset @ powerset @ ( B @ element ) ) )
       => ? [D: $i] :
          ! [E: $i] :
            ( ( ( ( B @ ( E @ ( C @ relation_image ) @ in ) )
                & ( C @ relation_dom @ powerset @ ( E @ in ) ) )
             => ( D @ ( E @ in ) ) )
            & ( ( D @ ( E @ in ) )
             => ( ( B @ ( E @ ( C @ relation_image ) @ in ) )
                & ( C @ relation_dom @ powerset @ ( E @ in ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ( ( A @ relation )
        & ~ ( A @ empty ) )
     => ~ ( A @ relation_dom @ empty ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).

thf(123,plain,
    ! [A: $i] :
      ( ( ( A @ relation )
        & ~ ( A @ empty ) )
     => ~ ( A @ relation_dom @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(25,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

thf(145,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( ( A @ ordinal )
        & ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_ordinal1) ).

thf(48,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( ( A @ ordinal )
        & ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( ( A @ relation_dom @ relation )
        & ( A @ relation_dom @ empty ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_relat_1) ).

thf(150,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( ( A @ relation_dom @ relation )
        & ( A @ relation_dom @ empty ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(28,axiom,
    ! [A: $i] :
      ( ( A @ ordinal )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( ( B @ ordinal )
            & ( B @ epsilon_connected )
            & ( B @ epsilon_transitive ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_arytm_3) ).

thf(154,plain,
    ! [A: $i] :
      ( ( A @ ordinal )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( ( B @ ordinal )
            & ( B @ epsilon_connected )
            & ( B @ epsilon_transitive ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(32,axiom,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ finite )
      & ( B @ natural )
      & ( B @ ordinal )
      & ( B @ epsilon_connected )
      & ( B @ epsilon_transitive )
      & ( B @ one_to_one )
      & ( B @ function )
      & ( B @ relation )
      & ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_finset_1) ).

thf(175,plain,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ finite )
      & ( B @ natural )
      & ( B @ ordinal )
      & ( B @ epsilon_connected )
      & ( B @ epsilon_transitive )
      & ( B @ one_to_one )
      & ( B @ function )
      & ( B @ relation )
      & ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(24,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ finite )
        & ( A @ function )
        & ( A @ relation ) )
     => ( B @ ( A @ relation_image ) @ finite ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).

thf(143,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ finite )
        & ( A @ function )
        & ( A @ relation ) )
     => ( B @ ( A @ relation_image ) @ finite ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( ( A @ function )
        & ( A @ empty )
        & ( A @ relation ) )
     => ( ( A @ one_to_one )
        & ( A @ function )
        & ( A @ relation ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).

thf(136,plain,
    ! [A: $i] :
      ( ( ( A @ function )
        & ( A @ empty )
        & ( A @ relation ) )
     => ( ( A @ one_to_one )
        & ( A @ function )
        & ( A @ relation ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(11,axiom,
    ? [A: $i] :
      ( ( A @ ordinal )
      & ( A @ epsilon_connected )
      & ( A @ epsilon_transitive ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_ordinal1) ).

thf(79,plain,
    ? [A: $i] :
      ( ( A @ ordinal )
      & ( A @ epsilon_connected )
      & ( A @ epsilon_transitive ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(204,plain,
    $false,
    inference(e,[status(thm)],[56,125,46,147,60,92,173,134,191,187,67,114,119,164,84,53,141,77,96,71,86,159,130,35,123,145,48,150,154,175,143,136,79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEU297+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.10  % 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
% 0.22/0.91  % Computer : n016.cluster.edu
% 0.22/0.91  % Model    : x86_64 x86_64
% 0.22/0.91  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.91  % Memory   : 8046.5625MB
% 0.22/0.91  % OS       : Linux 6.8.0-71-generic
% 0.22/0.91  % CPULimit : 300
% 0.22/0.91  % WCLimit  : 300
% 0.22/0.91  % DateTime : Sat Sep 26 09:12:31 UTC 2026
% 0.22/0.91  % CPUTime  : 
% 0.22/0.92  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
% 1.33/1.63  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.86/1.96  % [INFO] 	 Parsing done (324ms). 
% 1.86/1.99  % [INFO] 	 Running in sequential loop mode. 
% 3.22/2.61  % [INFO] 	 eprover registered as external prover. 
% 3.22/2.62  % [INFO] 	 Scanning for conjecture ... 
% 3.39/2.80  % [INFO] 	 Found a conjecture (or negated_conjecture) and 36 axioms. Running axiom selection ... 
% 3.87/2.92  % [INFO] 	 Axiom selection finished. Selected 32 axioms (removed 4 axioms). 
% 3.87/3.00  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 3.87/3.02  % [INFO] 	 Type checking passed. 
% 3.87/3.03  % [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 ... 
% 8.17/4.56  % External prover 'e' found a proof!
% 8.17/4.56  % [INFO] 	 Killing All external provers ... 
% 8.17/4.56  % Time passed: 3450ms (effective reasoning time: 2564ms)
% 8.17/4.56  % Solved by 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)>
% 8.17/4.56  % Axioms used in derivation (32): cc2_finset_1, cc2_arytm_3, rc3_funct_1, cc1_relat_1, rc1_funct_1, rc2_subset_1, cc2_ordinal1, cc1_arytm_3, rc1_arytm_3, rc2_relat_1, fc7_relat_1, antisymmetry_r2_hidden, s1_tarski__e6_27__finset_1__1, cc1_ordinal1, cc1_funct_1, fc1_subset_1, rc2_funct_1, rc1_subset_1, cc3_ordinal1, rc3_ordinal1, fc5_relat_1, cc2_funct_1, rc1_ordinal1, rc1_relat_1, rc2_finset_1, rc2_ordinal1, rc3_finset_1, rc1_finset_1, cc1_finset_1, rc1_xboole_0, fc13_finset_1, rc2_xboole_0
% 8.17/4.56  % No. of inferences in proof: 68
% 8.17/4.56  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3450 ms resp. 2564 ms w/o parsing
% 8.44/4.69  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.44/4.69  % [INFO] 	 Killing All external provers ... 
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