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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEU114+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n007.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 08:37:37 AM UTC 2026

% Result   : Theorem 5.02s 3.75s
% Output   : Refutation 5.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   74 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  215 (  13 equ;   0 cnn)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  509 (  36   ~;   2   |;  84   &; 332   @)
%                                         (   5 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   2 con; 0-2 aty)
%            Number of variables   :  122 (   0   ^; 102   !;  20   ?; 122   :)

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

thf(finite_subsets_decl,type,
    finite_subsets: $i > $i ).

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

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

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

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

thf(subset_decl,type,
    subset: $i > $i > $o ).

thf(empty_set_decl,type,
    empty_set: $i ).

thf(cup_closed_decl,type,
    cup_closed: $i > $o ).

thf(diff_closed_decl,type,
    diff_closed: $i > $o ).

thf(preboolean_decl,type,
    preboolean: $i > $o ).

thf(cap_closed_decl,type,
    cap_closed: $i > $o ).

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

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

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

thf(27,axiom,
    ! [A: $i] : ( A @ powerset @ ( A @ finite_subsets @ subset ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_finsub_1) ).

thf(142,plain,
    ! [A: $i] : ( A @ powerset @ ( A @ finite_subsets @ subset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ( B @ finite )
          & ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_finset_1) ).

thf(133,plain,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ( B @ finite )
          & ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( A @ finite_subsets @ preboolean )
      & ( A @ finite_subsets @ diff_closed )
      & ( A @ finite_subsets @ cup_closed )
      & ~ ( A @ finite_subsets @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_finsub_1) ).

thf(102,plain,
    ! [A: $i] :
      ( ( A @ finite_subsets @ preboolean )
      & ( A @ finite_subsets @ diff_closed )
      & ( A @ finite_subsets @ cup_closed )
      & ~ ( A @ finite_subsets @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(1,conjecture,
    ! [A: $i] :
      ( ( A @ finite )
     => ( ( A @ finite_subsets )
        = ( A @ powerset ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finsub_1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] :
        ( ( A @ finite )
       => ( ( A @ finite_subsets )
          = ( A @ powerset ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(38,plain,
    ~ ! [A: $i] :
        ( ( A @ finite )
       => ( ( A @ finite_subsets )
          = ( A @ powerset ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(17,axiom,
    ! [A: $i] :
      ( ( A @ preboolean )
     => ( ( A @ diff_closed )
        & ( A @ cup_closed ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finsub_1) ).

thf(96,plain,
    ! [A: $i] :
      ( ( A @ preboolean )
     => ( ( A @ diff_closed )
        & ( A @ cup_closed ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ( B @ finite )
          & ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_finset_1) ).

thf(128,plain,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ( B @ finite )
          & ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).

thf(118,plain,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(34,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ powerset @ ( B @ element ) )
        & ( B @ ( A @ in ) ) )
     => ( C @ ( A @ element ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

thf(167,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ powerset @ ( B @ element ) )
        & ( B @ ( A @ in ) ) )
     => ( C @ ( A @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ( ( A @ diff_closed )
        & ( A @ cup_closed ) )
     => ( A @ preboolean ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finsub_1) ).

thf(67,plain,
    ! [A: $i] :
      ( ( ( A @ diff_closed )
        & ( A @ cup_closed ) )
     => ( A @ preboolean ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( A != B )
        & ( A @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).

thf(43,plain,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( A != B )
        & ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(36,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/sandbox/benchmark/theBenchmark.p',rc2_finset_1) ).

thf(171,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)],[36]) ).

thf(13,axiom,
    ! [A: $i,B: $i] : ( A @ ( A @ subset ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

thf(82,plain,
    ! [A: $i] : ( A @ ( A @ subset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(4,axiom,
    ? [A: $i] : ( A @ empty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).

thf(47,plain,
    ? [A: $i] : ( A @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(10,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

thf(69,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(26,axiom,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).

thf(138,plain,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(33,axiom,
    ! [A: $i] :
      ~ ( A @ powerset @ empty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).

thf(164,plain,
    ! [A: $i] :
      ~ ( A @ powerset @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(14,axiom,
    ? [A: $i] :
      ( ( A @ preboolean )
      & ( A @ diff_closed )
      & ( A @ cap_closed )
      & ( A @ cup_closed )
      & ~ ( A @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finsub_1) ).

thf(84,plain,
    ? [A: $i] :
      ( ( A @ preboolean )
      & ( A @ diff_closed )
      & ( A @ cap_closed )
      & ( A @ cup_closed )
      & ~ ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(30,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ empty )
        & ( C @ powerset @ ( B @ element ) )
        & ( B @ ( A @ in ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).

thf(156,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ empty )
        & ( C @ powerset @ ( B @ element ) )
        & ( B @ ( A @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(35,axiom,
    ! [A: $i] : ( A @ finite_subsets @ preboolean ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_finsub_1) ).

thf(169,plain,
    ! [A: $i] : ( A @ finite_subsets @ preboolean ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(11,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ subset ) )
    <=> ! [C: $i] :
          ( ( A @ ( C @ in ) )
         => ( B @ ( C @ in ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

thf(71,plain,
    ! [A: $i,B: $i] :
      ( ( ! [C: $i] :
            ( ( A @ ( C @ in ) )
           => ( B @ ( C @ in ) ) )
       => ( B @ ( A @ subset ) ) )
      & ( ( B @ ( A @ subset ) )
       => ! [C: $i] :
            ( ( A @ ( C @ in ) )
           => ( B @ ( C @ in ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
    <=> ( ( A @ ( B @ subset ) )
        & ( B @ ( A @ subset ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).

thf(54,plain,
    ! [A: $i,B: $i] :
      ( ( ( ( A @ ( B @ subset ) )
          & ( B @ ( A @ subset ) ) )
       => ( A = B ) )
      & ( ( A = B )
       => ( ( A @ ( B @ subset ) )
          & ( B @ ( A @ subset ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(28,axiom,
    ! [A: $i] :
      ( ( A @ finite )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( B @ finite ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).

thf(144,plain,
    ! [A: $i] :
      ( ( A @ finite )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( B @ finite ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ( B @ ( A @ element ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

thf(49,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ( B @ ( A @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(31,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ finite )
        & ( B @ ( A @ subset ) ) )
     => ( A @ finite ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

thf(159,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ finite )
        & ( B @ ( A @ subset ) ) )
     => ( A @ finite ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(15,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( B @ ( A @ in ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

thf(91,plain,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( B @ ( A @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(8,axiom,
    empty_set @ empty,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

thf(66,plain,
    empty_set @ empty,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(32,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ finite_subsets @ ( B @ element ) )
     => ( B @ finite ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_finsub_1) ).

thf(162,plain,
    ! [A: $i,B: $i] :
      ( ( A @ finite_subsets @ ( B @ element ) )
     => ( B @ finite ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(20,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ powerset @ ( A @ element ) )
    <=> ( B @ ( A @ subset ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

thf(112,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ ( A @ subset ) )
       => ( B @ powerset @ ( A @ element ) ) )
      & ( ( B @ powerset @ ( A @ element ) )
       => ( B @ ( A @ subset ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(29,axiom,
    ! [A: $i] :
      ( ( A @ powerset @ preboolean )
      & ( A @ powerset @ diff_closed )
      & ( A @ powerset @ cup_closed )
      & ~ ( A @ powerset @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_finsub_1) ).

thf(146,plain,
    ! [A: $i] :
      ( ( A @ powerset @ preboolean )
      & ( A @ powerset @ diff_closed )
      & ( A @ powerset @ cup_closed )
      & ~ ( A @ powerset @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(6,axiom,
    ? [A: $i] :
      ~ ( A @ empty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).

thf(51,plain,
    ? [A: $i] :
      ~ ( A @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(37,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ preboolean )
     => ( ( B
          = ( A @ finite_subsets ) )
      <=> ! [C: $i] :
            ( ( B @ ( C @ in ) )
          <=> ( ( C @ finite )
              & ( A @ ( C @ subset ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_finsub_1) ).

thf(183,plain,
    ! [A: $i,B: $i] :
      ( ( B @ preboolean )
     => ( ( ! [C: $i] :
              ( ( ( ( C @ finite )
                  & ( A @ ( C @ subset ) ) )
               => ( B @ ( C @ in ) ) )
              & ( ( B @ ( C @ in ) )
               => ( ( C @ finite )
                  & ( A @ ( C @ subset ) ) ) ) )
         => ( B
            = ( A @ finite_subsets ) ) )
        & ( ( B
            = ( A @ finite_subsets ) )
         => ! [C: $i] :
              ( ( ( ( C @ finite )
                  & ( A @ ( C @ subset ) ) )
               => ( B @ ( C @ in ) ) )
              & ( ( B @ ( C @ in ) )
               => ( ( C @ finite )
                  & ( A @ ( C @ subset ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ finite ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).

thf(126,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ finite ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A = empty_set ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

thf(79,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A = empty_set ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ element ) )
     => ( ( B @ ( A @ in ) )
        | ( B @ empty ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

thf(94,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ element ) )
     => ( ( B @ ( A @ in ) )
        | ( B @ empty ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(22,axiom,
    ? [A: $i] :
      ( ( A @ finite )
      & ~ ( A @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).

thf(122,plain,
    ? [A: $i] :
      ( ( A @ finite )
      & ~ ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(18,axiom,
    ! [A: $i] :
    ? [B: $i] : ( A @ ( B @ element ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

thf(100,plain,
    ! [A: $i] :
    ? [B: $i] : ( A @ ( B @ element ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(295,plain,
    $false,
    inference(e,[status(thm)],[142,133,102,38,96,128,118,167,67,43,171,82,47,69,138,164,84,156,169,71,54,144,49,159,91,66,162,112,146,51,183,126,79,94,122,100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU114+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.38  % Computer : n007.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sat Sep 26 08:34:53 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.17/0.38  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.73/1.13  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.11/1.38  % [INFO] 	 Parsing done (246ms). 
% 1.32/1.40  % [INFO] 	 Running in sequential loop mode. 
% 1.79/1.90  % [INFO] 	 eprover registered as external prover. 
% 1.98/1.91  % [INFO] 	 Scanning for conjecture ... 
% 2.14/2.04  % [INFO] 	 Found a conjecture (or negated_conjecture) and 35 axioms. Running axiom selection ... 
% 2.14/2.15  % [INFO] 	 Axiom selection finished. Selected 35 axioms (removed 0 axioms). 
% 2.37/2.24  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.37/2.26  % [INFO] 	 Type checking passed. 
% 2.51/2.26  % [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 ... 
% 5.02/3.75  % External prover 'e' found a proof!
% 5.02/3.75  % [INFO] 	 Killing All external provers ... 
% 5.02/3.75  % Time passed: 3168ms (effective reasoning time: 2343ms)
% 5.02/3.75  % 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)>
% 5.02/3.75  % Axioms used in derivation (35): cc2_finset_1, cc2_finsub_1, t5_subset, t4_subset, rc1_subset_1, cc3_finsub_1, t2_subset, d10_xboole_0, antisymmetry_r2_hidden, fc1_finsub_1, rc4_finset_1, rc1_finsub_1, fc1_xboole_0, t1_subset, t6_boole, rc2_subset_1, t7_boole, fc1_subset_1, t13_finset_1, t3_subset, existence_m1_subset_1, cc1_finsub_1, d3_tarski, rc2_finset_1, reflexivity_r1_tarski, rc3_finset_1, fc2_finsub_1, rc1_finset_1, cc1_finset_1, t26_finsub_1, t8_boole, rc1_xboole_0, dt_k5_finsub_1, d5_finsub_1, rc2_xboole_0
% 5.02/3.75  % No. of inferences in proof: 74
% 5.02/3.75  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3168 ms resp. 2343 ms w/o parsing
% 5.02/3.79  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.02/3.79  % [INFO] 	 Killing All external provers ... 
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