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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEU314+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 : n002.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 08:38:25 AM UTC 2026

% Result   : Theorem 45.49s 8.75s
% Output   : Refutation 39.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   52 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :  253 (  20 equ;   0 cnn)
%            Maximal formula atoms :   28 (   4 avg)
%            Number of connectives :  597 (  12   ~;   0   |; 127   &; 384   @)
%                                         (   3 <=>;  71  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;   1 con; 0-2 aty)
%            Number of variables   :  115 (   0   ^;  88   !;  27   ?; 115   :)

% Comments : 
%------------------------------------------------------------------------------
thf(topological_space_decl,type,
    topological_space: $i > $o ).

thf(top_str_decl,type,
    top_str: $i > $o ).

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

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

thf(the_carrier_decl,type,
    the_carrier: $i > $i ).

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

thf(closed_subset_decl,type,
    closed_subset: $i > $i > $o ).

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

thf(v2_membered_decl,type,
    v2_membered: $i > $o ).

thf(v1_membered_decl,type,
    v1_membered: $i > $o ).

thf(v4_membered_decl,type,
    v4_membered: $i > $o ).

thf(v3_membered_decl,type,
    v3_membered: $i > $o ).

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

thf(v5_membered_decl,type,
    v5_membered: $i > $o ).

thf(one_sorted_str_decl,type,
    one_sorted_str: $i > $o ).

thf(v1_xcmplx_0_decl,type,
    v1_xcmplx_0: $i > $o ).

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

thf(v1_xreal_0_decl,type,
    v1_xreal_0: $i > $o ).

thf(v1_int_1_decl,type,
    v1_int_1: $i > $o ).

thf(v1_rat_1_decl,type,
    v1_rat_1: $i > $o ).

thf(24,axiom,
    ! [A: $i,B: $i] : ( A @ ( A @ subset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

thf(153,plain,
    ! [A: $i] : ( A @ ( A @ subset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( ( A @ top_str )
        & ( A @ topological_space ) )
     => ? [B: $i] :
          ( ( A @ ( B @ closed_subset ) )
          & ( A @ the_carrier @ powerset @ ( B @ element ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc6_pre_topc) ).

thf(84,plain,
    ! [A: $i] :
      ( ( ( A @ top_str )
        & ( A @ topological_space ) )
     => ? [B: $i] :
          ( ( A @ ( B @ closed_subset ) )
          & ( A @ the_carrier @ powerset @ ( B @ element ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( A @ v4_membered )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( ( B @ v1_rat_1 )
            & ( B @ v1_int_1 )
            & ( B @ v1_xreal_0 )
            & ( B @ v1_xcmplx_0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_membered) ).

thf(160,plain,
    ! [A: $i] :
      ( ( A @ v4_membered )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( ( B @ v1_rat_1 )
            & ( B @ v1_int_1 )
            & ( B @ v1_xreal_0 )
            & ( B @ v1_xcmplx_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ( A @ v3_membered )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( ( B @ v3_membered )
            & ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc18_membered) ).

thf(73,plain,
    ! [A: $i] :
      ( ( A @ v3_membered )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( ( B @ v3_membered )
            & ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ( A @ v2_membered )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( ( B @ v1_xreal_0 )
            & ( B @ v1_xcmplx_0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_membered) ).

thf(149,plain,
    ! [A: $i] :
      ( ( A @ v2_membered )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( ( B @ v1_xreal_0 )
            & ( B @ v1_xcmplx_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(18,axiom,
    ! [A: $i] :
      ~ ( A @ powerset @ empty ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).

thf(98,plain,
    ! [A: $i] :
      ~ ( A @ powerset @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ( A @ v1_membered )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( B @ v1_xcmplx_0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_membered) ).

thf(80,plain,
    ! [A: $i] :
      ( ( A @ v1_membered )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( B @ v1_xcmplx_0 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(22,axiom,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).

thf(145,plain,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ( A @ v4_membered )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( ( B @ v4_membered )
            & ( B @ v3_membered )
            & ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc19_membered) ).

thf(67,plain,
    ! [A: $i] :
      ( ( A @ v4_membered )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( ( B @ v4_membered )
            & ( B @ v3_membered )
            & ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(6,axiom,
    ? [A: $i] :
      ( ( A @ v5_membered )
      & ( A @ v4_membered )
      & ( A @ v3_membered )
      & ( A @ v2_membered )
      & ( A @ v1_membered )
      & ~ ( A @ empty ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_membered) ).

thf(55,plain,
    ? [A: $i] :
      ( ( A @ v5_membered )
      & ( A @ v4_membered )
      & ( A @ v3_membered )
      & ( A @ v2_membered )
      & ( A @ v1_membered )
      & ~ ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(13,axiom,
    ! [A: $i] :
      ( ( A @ v1_membered )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( B @ v1_membered ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc16_membered) ).

thf(82,plain,
    ! [A: $i] :
      ( ( A @ v1_membered )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( B @ v1_membered ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(17,axiom,
    ! [A: $i] :
      ( ( A @ v2_membered )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc17_membered) ).

thf(94,plain,
    ! [A: $i] :
      ( ( A @ v2_membered )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( A @ v5_membered )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( ( B @ v1_rat_1 )
            & ( B @ v1_int_1 )
            & ( B @ v1_xreal_0 )
            & ( B @ natural )
            & ( B @ v1_xcmplx_0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_membered) ).

thf(138,plain,
    ! [A: $i] :
      ( ( A @ v5_membered )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( ( B @ v1_rat_1 )
            & ( B @ v1_int_1 )
            & ( B @ v1_xreal_0 )
            & ( B @ natural )
            & ( B @ v1_xcmplx_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( A @ v5_membered )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( ( B @ v5_membered )
            & ( B @ v4_membered )
            & ( B @ v3_membered )
            & ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc20_membered) ).

thf(101,plain,
    ! [A: $i] :
      ( ( A @ v5_membered )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( ( B @ v5_membered )
            & ( B @ v4_membered )
            & ( B @ v3_membered )
            & ( B @ v2_membered )
            & ( B @ v1_membered ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).

thf(88,plain,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ( A @ v4_membered )
     => ( A @ v3_membered ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_membered) ).

thf(46,plain,
    ! [A: $i] :
      ( ( A @ v4_membered )
     => ( A @ v3_membered ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ( A @ top_str )
     => ( A @ one_sorted_str ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).

thf(78,plain,
    ! [A: $i] :
      ( ( A @ top_str )
     => ( A @ one_sorted_str ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

thf(92,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ( A @ v5_membered )
     => ( A @ v4_membered ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_membered) ).

thf(65,plain,
    ! [A: $i] :
      ( ( A @ v5_membered )
     => ( A @ v4_membered ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( A @ v2_membered )
     => ( A @ v1_membered ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_membered) ).

thf(44,plain,
    ! [A: $i] :
      ( ( A @ v2_membered )
     => ( A @ v1_membered ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( A @ the_carrier @ powerset @ ( B @ element ) )
        & ( A @ top_str )
        & ( A @ topological_space ) )
     => ? [C: $i] :
        ! [D: $i] :
          ( ( C @ ( D @ in ) )
        <=> ( ? [E: $i] :
                ( ( D @ ( B @ subset ) )
                & ( A @ ( E @ closed_subset ) )
                & ( E = D )
                & ( A @ the_carrier @ powerset @ ( E @ element ) ) )
            & ( A @ the_carrier @ powerset @ ( D @ in ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e1_40__pre_topc__1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( A @ the_carrier @ powerset @ ( B @ element ) )
          & ( A @ top_str )
          & ( A @ topological_space ) )
       => ? [C: $i] :
          ! [D: $i] :
            ( ( C @ ( D @ in ) )
          <=> ( ? [E: $i] :
                  ( ( D @ ( B @ subset ) )
                  & ( A @ ( E @ closed_subset ) )
                  & ( E = D )
                  & ( A @ the_carrier @ powerset @ ( E @ element ) ) )
              & ( A @ the_carrier @ powerset @ ( D @ in ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(27,plain,
    ~ ! [A: $i,B: $i] :
        ( ( ( A @ the_carrier @ powerset @ ( B @ element ) )
          & ( A @ top_str )
          & ( A @ topological_space ) )
       => ? [C: $i] :
          ! [D: $i] :
            ( ( ( ? [E: $i] :
                    ( ( D @ ( B @ subset ) )
                    & ( A @ ( E @ closed_subset ) )
                    & ( E = D )
                    & ( A @ the_carrier @ powerset @ ( E @ element ) ) )
                & ( A @ the_carrier @ powerset @ ( D @ in ) ) )
             => ( C @ ( D @ in ) ) )
            & ( ( C @ ( D @ in ) )
             => ( ? [E: $i] :
                    ( ( D @ ( B @ subset ) )
                    & ( A @ ( E @ closed_subset ) )
                    & ( E = D )
                    & ( A @ the_carrier @ powerset @ ( E @ element ) ) )
                & ( A @ the_carrier @ powerset @ ( D @ in ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( A @ v3_membered )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( ( B @ v1_rat_1 )
            & ( B @ v1_xreal_0 )
            & ( B @ v1_xcmplx_0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_membered) ).

thf(155,plain,
    ! [A: $i] :
      ( ( A @ v3_membered )
     => ! [B: $i] :
          ( ( A @ ( B @ element ) )
         => ( ( B @ v1_rat_1 )
            & ( B @ v1_xreal_0 )
            & ( B @ v1_xcmplx_0 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(20,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ the_carrier @ powerset @ ( B @ element ) )
        & ( A @ top_str )
        & ( A @ topological_space ) )
     => ( ! [C: $i,D: $i,E: $i] :
            ( ( ? [F: $i] :
                  ( ( E @ ( B @ subset ) )
                  & ( A @ ( F @ closed_subset ) )
                  & ( F = E )
                  & ( A @ the_carrier @ powerset @ ( F @ element ) ) )
              & ( C = E )
              & ? [F: $i] :
                  ( ( D @ ( B @ subset ) )
                  & ( A @ ( F @ closed_subset ) )
                  & ( F = D )
                  & ( A @ the_carrier @ powerset @ ( F @ element ) ) )
              & ( C = D ) )
           => ( D = E ) )
       => ? [C: $i] :
          ! [D: $i] :
            ( ( C @ ( D @ in ) )
          <=> ? [E: $i] :
                ( ? [F: $i] :
                    ( ( D @ ( B @ subset ) )
                    & ( A @ ( F @ closed_subset ) )
                    & ( F = D )
                    & ( A @ the_carrier @ powerset @ ( F @ element ) ) )
                & ( E = D )
                & ( A @ the_carrier @ powerset @ ( E @ in ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e1_40__pre_topc__1) ).

thf(108,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ the_carrier @ powerset @ ( B @ element ) )
        & ( A @ top_str )
        & ( A @ topological_space ) )
     => ( ! [C: $i,D: $i,E: $i] :
            ( ( ? [F: $i] :
                  ( ( E @ ( B @ subset ) )
                  & ( A @ ( F @ closed_subset ) )
                  & ( F = E )
                  & ( A @ the_carrier @ powerset @ ( F @ element ) ) )
              & ( C = E )
              & ? [F: $i] :
                  ( ( D @ ( B @ subset ) )
                  & ( A @ ( F @ closed_subset ) )
                  & ( F = D )
                  & ( A @ the_carrier @ powerset @ ( F @ element ) ) )
              & ( C = D ) )
           => ( D = E ) )
       => ? [C: $i] :
          ! [D: $i] :
            ( ( ? [E: $i] :
                  ( ? [F: $i] :
                      ( ( D @ ( B @ subset ) )
                      & ( A @ ( F @ closed_subset ) )
                      & ( F = D )
                      & ( A @ the_carrier @ powerset @ ( F @ element ) ) )
                  & ( E = D )
                  & ( A @ the_carrier @ powerset @ ( E @ in ) ) )
             => ( C @ ( D @ in ) ) )
            & ( ( C @ ( D @ in ) )
             => ? [E: $i] :
                  ( ? [F: $i] :
                      ( ( D @ ( B @ subset ) )
                      & ( A @ ( F @ closed_subset ) )
                      & ( F = D )
                      & ( A @ the_carrier @ powerset @ ( F @ element ) ) )
                  & ( E = D )
                  & ( A @ the_carrier @ powerset @ ( E @ in ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( ( A @ v5_membered )
        & ( A @ v4_membered )
        & ( A @ v3_membered )
        & ( A @ v2_membered )
        & ( A @ v1_membered ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc15_membered) ).

thf(48,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( ( A @ v5_membered )
        & ( A @ v4_membered )
        & ( A @ v3_membered )
        & ( A @ v2_membered )
        & ( A @ v1_membered ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( A @ v3_membered )
     => ( A @ v2_membered ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_membered) ).

thf(63,plain,
    ! [A: $i] :
      ( ( A @ v3_membered )
     => ( A @ v2_membered ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(7475,plain,
    $false,
    inference(e,[status(thm)],[153,84,160,73,149,98,80,145,67,55,82,94,138,101,88,46,78,92,65,44,27,155,108,48,63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU314+1 : TPTP v9.3.1. Released v3.3.0.
% 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
% 0.14/0.40  % Computer : n002.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.40  % CPULimit : 300
% 0.14/0.40  % WCLimit  : 300
% 0.14/0.40  % DateTime : Sat Sep 26 09:13:05 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.14/0.40  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
% 0.71/0.70  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 0.96/0.82  % [INFO] 	 Parsing done (115ms). 
% 0.96/0.82  % [INFO] 	 Running in sequential loop mode. 
% 1.62/1.03  % [INFO] 	 eprover registered as external prover. 
% 1.62/1.03  % [INFO] 	 Scanning for conjecture ... 
% 1.62/1.10  % [INFO] 	 Found a conjecture (or negated_conjecture) and 28 axioms. Running axiom selection ... 
% 1.88/1.15  % [INFO] 	 Axiom selection finished. Selected 24 axioms (removed 4 axioms). 
% 1.88/1.18  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.88/1.19  % [INFO] 	 Type checking passed. 
% 1.88/1.19  % [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 ... 
% 45.49/8.74  % External prover 'e' found a proof!
% 45.49/8.74  % [INFO] 	 Killing All external provers ... 
% 45.49/8.74  % Time passed: 8253ms (effective reasoning time: 7917ms)
% 45.49/8.74  % 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)>
% 45.49/8.75  % Axioms used in derivation (24): cc12_membered, cc10_membered, rc1_membered, rc6_pre_topc, cc19_membered, cc11_membered, cc18_membered, cc13_membered, cc15_membered, reflexivity_r1_tarski, cc17_membered, cc16_membered, antisymmetry_r2_hidden, dt_l1_pre_topc, rc2_subset_1, cc20_membered, fc1_subset_1, rc1_subset_1, cc4_membered, cc1_membered, s1_tarski__e1_40__pre_topc__1, cc2_membered, cc3_membered, cc14_membered
% 45.49/8.75  % No. of inferences in proof: 52
% 45.49/8.75  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8253 ms resp. 7917 ms w/o parsing
% 39.85/8.83  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 39.85/8.83  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------