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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEU102+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 : n010.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 08:37:35 AM UTC 2026

% Result   : Theorem 4.61s 3.15s
% Output   : Refutation 4.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   38
% Syntax   : Number of formulae    :   78 (  25 unt;   0 typ;   0 def)
%            Number of atoms       :  200 (  18 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  498 (  39   ~;   2   |;  75   &; 337   @)
%                                         (   1 <=>;  44  =>;   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     :   23 (  21 usr;   2 con; 0-3 aty)
%            Number of variables   :  135 (   0   ^; 115   !;  20   ?; 135   :)

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

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

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

thf(set_intersection2_decl,type,
    set_intersection2: $i > $i > $i ).

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

thf(set_difference_decl,type,
    set_difference: $i > $i > $i ).

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

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

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

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

thf(prebool_difference_decl,type,
    prebool_difference: $i > $i > $i > $i ).

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

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

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

thf(11,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(69,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ empty )
        & ( C @ powerset @ ( B @ element ) )
        & ( B @ ( A @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(36,axiom,
    ! [A: $i] :
      ( ( A @ preboolean )
     => ( ( A @ diff_closed )
        & ( A @ cup_closed ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finsub_1) ).

thf(153,plain,
    ! [A: $i] :
      ( ( A @ preboolean )
     => ( ( A @ diff_closed )
        & ( A @ cup_closed ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(31,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ powerset @ ( A @ element ) )
    <=> ( B @ ( A @ subset ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

thf(137,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)],[31]) ).

thf(29,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(128,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(4,axiom,
    ! [A: $i] :
      ( ( empty_set @ ( A @ set_difference ) )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).

thf(49,plain,
    ! [A: $i] :
      ( ( empty_set @ ( A @ set_difference ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(27,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ set_difference ) @ ( A @ set_difference ) )
      = ( B @ ( A @ set_intersection2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).

thf(113,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ set_difference ) @ ( A @ set_difference ) )
      = ( B @ ( A @ set_intersection2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(26,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(108,plain,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ( B @ finite )
          & ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(15,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ element ) )
        & ( A @ ( B @ element ) )
        & ( A @ preboolean )
        & ~ ( A @ empty ) )
     => ( A @ ( C @ ( B @ ( A @ prebool_difference ) ) @ element ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_finsub_1) ).

thf(80,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ element ) )
        & ( A @ ( B @ element ) )
        & ( A @ preboolean )
        & ~ ( A @ empty ) )
     => ( A @ ( C @ ( B @ ( A @ prebool_difference ) ) @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(33,axiom,
    ! [A: $i] :
      ( ( ( A @ diff_closed )
        & ( A @ cup_closed ) )
     => ( A @ preboolean ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finsub_1) ).

thf(145,plain,
    ! [A: $i] :
      ( ( ( A @ diff_closed )
        & ( A @ cup_closed ) )
     => ( A @ preboolean ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(35,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ set_intersection2 ) )
      = ( A @ ( B @ set_intersection2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).

thf(150,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ set_intersection2 ) )
      = ( A @ ( B @ set_intersection2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(10,axiom,
    ? [A: $i] : ( A @ empty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).

thf(67,plain,
    ? [A: $i] : ( A @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

thf(47,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ element ) )
     => ( ( B @ ( A @ in ) )
        | ( B @ empty ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

thf(83,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ element ) )
     => ( ( B @ ( A @ in ) )
        | ( B @ empty ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ finite )
     => ( B @ ( A @ set_difference ) @ finite ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_finset_1) ).

thf(52,plain,
    ! [A: $i,B: $i] :
      ( ( A @ finite )
     => ( B @ ( A @ set_difference ) @ finite ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(37,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(157,plain,
    ? [A: $i] :
      ( ( A @ preboolean )
      & ( A @ diff_closed )
      & ( A @ cap_closed )
      & ( A @ cup_closed )
      & ~ ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(20,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ element ) )
        & ( A @ ( B @ element ) )
        & ( A @ preboolean )
        & ~ ( A @ empty ) )
     => ( ( C @ ( B @ ( A @ prebool_difference ) ) )
        = ( C @ ( B @ set_difference ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_finsub_1) ).

thf(93,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ element ) )
        & ( A @ ( B @ element ) )
        & ( A @ preboolean )
        & ~ ( A @ empty ) )
     => ( ( C @ ( B @ ( A @ prebool_difference ) ) )
        = ( C @ ( B @ set_difference ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( A @ ( empty_set @ set_difference ) )
      = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).

thf(57,plain,
    ! [A: $i] :
      ( ( A @ ( empty_set @ set_difference ) )
      = empty_set ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(38,axiom,
    ! [A: $i] :
    ? [B: $i] : ( A @ ( B @ element ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

thf(164,plain,
    ! [A: $i] :
    ? [B: $i] : ( A @ ( B @ element ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(25,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ finite )
     => ( B @ ( A @ set_intersection2 ) @ finite ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_finset_1) ).

thf(106,plain,
    ! [A: $i,B: $i] :
      ( ( B @ finite )
     => ( B @ ( A @ set_intersection2 ) @ finite ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(34,axiom,
    ! [A: $i] :
      ~ ( A @ powerset @ empty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).

thf(147,plain,
    ! [A: $i] :
      ~ ( A @ powerset @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(28,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(116,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)],[28]) ).

thf(19,axiom,
    ? [A: $i] :
      ( ( A @ finite )
      & ~ ( A @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).

thf(89,plain,
    ? [A: $i] :
      ( ( A @ finite )
      & ~ ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(30,axiom,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).

thf(133,plain,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( A != B )
        & ( A @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).

thf(60,plain,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( A != B )
        & ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).

thf(85,plain,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(23,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(102,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)],[23]) ).

thf(14,axiom,
    ? [A: $i] :
      ~ ( A @ empty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).

thf(77,plain,
    ? [A: $i] :
      ~ ( A @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(21,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ ( A @ set_intersection2 ) )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).

thf(96,plain,
    ! [A: $i] :
      ( ( A @ ( A @ set_intersection2 ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(39,axiom,
    ! [A: $i] :
      ( ( empty_set @ ( A @ set_intersection2 ) )
      = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).

thf(166,plain,
    ! [A: $i] :
      ( ( empty_set @ ( A @ set_intersection2 ) )
      = empty_set ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(9,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ finite )
     => ( B @ ( A @ set_intersection2 ) @ finite ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc11_finset_1) ).

thf(64,plain,
    ! [A: $i,B: $i] :
      ( ( A @ finite )
     => ( B @ ( A @ set_intersection2 ) @ finite ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( B @ ( A @ in ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

thf(72,plain,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( B @ ( A @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(32,axiom,
    ! [A: $i] :
      ( ( A @ finite )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( B @ finite ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).

thf(143,plain,
    ! [A: $i] :
      ( ( A @ finite )
     => ! [B: $i] :
          ( ( A @ powerset @ ( B @ element ) )
         => ( B @ finite ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A = empty_set ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

thf(99,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A = empty_set ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ finite ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).

thf(104,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ finite ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ preboolean )
        & ~ ( C @ empty ) )
     => ( ( ( C @ ( B @ element ) )
          & ( C @ ( A @ element ) ) )
       => ( C @ ( B @ ( A @ set_intersection2 ) @ element ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finsub_1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( C @ preboolean )
          & ~ ( C @ empty ) )
       => ( ( ( C @ ( B @ element ) )
            & ( C @ ( A @ element ) ) )
         => ( C @ ( B @ ( A @ set_intersection2 ) @ element ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(40,plain,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( C @ preboolean )
          & ~ ( C @ empty ) )
       => ( ( ( C @ ( B @ element ) )
            & ( C @ ( A @ element ) ) )
         => ( C @ ( B @ ( A @ set_intersection2 ) @ element ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(6,axiom,
    ! [A: $i,B: $i] : ( A @ ( A @ subset ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

thf(55,plain,
    ! [A: $i] : ( A @ ( A @ subset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(13,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ( B @ ( A @ element ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

thf(75,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ( B @ ( A @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(16,axiom,
    empty_set @ empty,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

thf(82,plain,
    empty_set @ empty,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(172,plain,
    $false,
    inference(e,[status(thm)],[69,153,137,128,49,113,108,80,145,150,67,47,83,52,157,93,57,164,106,147,116,89,133,60,85,102,77,96,166,64,72,143,99,104,40,55,75,82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU102+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08  % 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
% 0.14/0.40  % Computer : n010.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 08:36:30 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.14/0.40  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
% 0.81/0.93  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.19/1.18  % [INFO] 	 Parsing done (253ms). 
% 1.29/1.21  % [INFO] 	 Running in sequential loop mode. 
% 1.91/1.76  % [INFO] 	 eprover registered as external prover. 
% 1.91/1.77  % [INFO] 	 Scanning for conjecture ... 
% 2.21/1.93  % [INFO] 	 Found a conjecture (or negated_conjecture) and 37 axioms. Running axiom selection ... 
% 2.21/2.03  % [INFO] 	 Axiom selection finished. Selected 37 axioms (removed 0 axioms). 
% 2.41/2.12  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.41/2.13  % [INFO] 	 Type checking passed. 
% 2.41/2.14  % [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 ... 
% 4.61/3.15  % External prover 'e' found a proof!
% 4.61/3.15  % [INFO] 	 Killing All external provers ... 
% 4.61/3.15  % Time passed: 2608ms (effective reasoning time: 1928ms)
% 4.61/3.15  % 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)>
% 4.61/3.15  % Axioms used in derivation (37): cc2_finset_1, t2_boole, commutativity_k3_xboole_0, dt_k2_finsub_1, t5_subset, rc1_subset_1, rc3_finset_1, t2_subset, t3_boole, rc2_xboole_0, antisymmetry_r2_hidden, idempotence_k3_xboole_0, rc4_finset_1, rc1_finsub_1, fc1_xboole_0, t1_subset, redefinition_k2_finsub_1, fc11_finset_1, cc2_finsub_1, fc10_finset_1, t6_boole, rc2_subset_1, t4_boole, t4_subset, t7_boole, fc1_subset_1, t48_xboole_1, t3_subset, existence_m1_subset_1, cc1_finsub_1, rc2_finset_1, reflexivity_r1_tarski, rc1_finset_1, cc1_finset_1, fc12_finset_1, t8_boole, rc1_xboole_0
% 4.61/3.15  % No. of inferences in proof: 78
% 4.61/3.15  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2608 ms resp. 1928 ms w/o parsing
% 4.71/3.24  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.71/3.24  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------