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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEU037+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 : n019.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 08:37:29 AM UTC 2026

% Result   : Theorem 4.18s 12.27s
% Output   : Refutation 4.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   80 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :  203 (  22 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  492 (  26   ~;   2   |;  72   &; 343   @)
%                                         (   2 <=>;  47  =>;   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     :   16 (  14 usr;   2 con; 0-2 aty)
%            Number of variables   :  124 (   0   ^; 102   !;  22   ?; 124   :)

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

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

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

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

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

thf(apply_decl,type,
    apply: $i > $i > $i ).

thf(relation_dom_restriction_decl,type,
    relation_dom_restriction: $i > $i > $i ).

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

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

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

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

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

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

thf(relation_empty_yielding_decl,type,
    relation_empty_yielding: $i > $o ).

thf(31,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).

thf(138,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(24,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(115,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ set_intersection2 ) )
      = ( A @ ( B @ set_intersection2 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ powerset @ ( A @ element ) )
    <=> ( B @ ( A @ subset ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

thf(60,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)],[8]) ).

thf(18,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ( B @ ( A @ element ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

thf(97,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ( B @ ( A @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(38,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ relation_empty_yielding )
        & ( A @ relation ) )
     => ( ( B @ ( A @ relation_dom_restriction ) @ relation_empty_yielding )
        & ( B @ ( A @ relation_dom_restriction ) @ relation ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc13_relat_1) ).

thf(169,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ relation_empty_yielding )
        & ( A @ relation ) )
     => ( ( B @ ( A @ relation_dom_restriction ) @ relation_empty_yielding )
        & ( B @ ( A @ relation_dom_restriction ) @ relation ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(5,axiom,
    ? [A: $i] : ( A @ empty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).

thf(54,plain,
    ? [A: $i] : ( A @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(3,axiom,
    ! [A: $i,B: $i] : ( A @ ( A @ subset ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

thf(48,plain,
    ! [A: $i] : ( A @ ( A @ subset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(39,axiom,
    ( ( empty_set @ relation_empty_yielding )
    & ( empty_set @ relation )
    & ( empty_set @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).

thf(175,plain,
    ( ( empty_set @ relation_empty_yielding )
    & ( empty_set @ relation )
    & ( empty_set @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( ( A @ function )
        & ( A @ empty )
        & ( A @ relation ) )
     => ( ( A @ one_to_one )
        & ( A @ function )
        & ( A @ relation ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).

thf(82,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)],[14]) ).

thf(33,axiom,
    ! [A: $i] :
      ( ( empty_set @ ( A @ set_intersection2 ) )
      = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).

thf(146,plain,
    ! [A: $i] :
      ( ( empty_set @ ( A @ set_intersection2 ) )
      = empty_set ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( B @ ( A @ in ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

thf(94,plain,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( B @ ( A @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(26,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ ( A @ set_intersection2 ) )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).

thf(122,plain,
    ! [A: $i] :
      ( ( A @ ( A @ set_intersection2 ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

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

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

thf(35,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ function )
        & ( B @ relation ) )
     => ! [C: $i] :
          ( ( ( C @ function )
            & ( C @ relation ) )
         => ( ( B
              = ( A @ ( C @ relation_dom_restriction ) ) )
          <=> ( ! [D: $i] :
                  ( ( B @ relation_dom @ ( D @ in ) )
                 => ( ( D @ ( B @ apply ) )
                    = ( D @ ( C @ apply ) ) ) )
              & ( ( B @ relation_dom )
                = ( A @ ( C @ relation_dom @ set_intersection2 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).

thf(153,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ function )
        & ( B @ relation ) )
     => ! [C: $i] :
          ( ( ( C @ function )
            & ( C @ relation ) )
         => ( ( ( ! [D: $i] :
                    ( ( B @ relation_dom @ ( D @ in ) )
                   => ( ( D @ ( B @ apply ) )
                      = ( D @ ( C @ apply ) ) ) )
                & ( ( B @ relation_dom )
                  = ( A @ ( C @ relation_dom @ set_intersection2 ) ) ) )
             => ( B
                = ( A @ ( C @ relation_dom_restriction ) ) ) )
            & ( ( B
                = ( A @ ( C @ relation_dom_restriction ) ) )
             => ( ! [D: $i] :
                    ( ( B @ relation_dom @ ( D @ in ) )
                   => ( ( D @ ( B @ apply ) )
                      = ( D @ ( C @ apply ) ) ) )
                & ( ( B @ relation_dom )
                  = ( A @ ( C @ relation_dom @ set_intersection2 ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(22,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ relation )
     => ( B @ ( A @ relation_dom_restriction ) @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).

thf(110,plain,
    ! [A: $i,B: $i] :
      ( ( A @ relation )
     => ( B @ ( A @ relation_dom_restriction ) @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(27,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(125,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)],[27]) ).

thf(10,axiom,
    ! [A: $i] :
      ~ ( A @ powerset @ empty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).

thf(70,plain,
    ! [A: $i] :
      ~ ( A @ powerset @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(36,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

thf(165,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(29,axiom,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ empty )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).

thf(129,plain,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ empty )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ function )
        & ( C @ relation ) )
     => ( ( A @ ( C @ relation_dom @ set_intersection2 ) @ ( B @ in ) )
       => ( ( B @ ( A @ ( C @ relation_dom_restriction ) @ apply ) )
          = ( B @ ( C @ apply ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_funct_1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( C @ function )
          & ( C @ relation ) )
       => ( ( A @ ( C @ relation_dom @ set_intersection2 ) @ ( B @ in ) )
         => ( ( B @ ( A @ ( C @ relation_dom_restriction ) @ apply ) )
            = ( B @ ( C @ apply ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(41,plain,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( C @ function )
          & ( C @ relation ) )
       => ( ( A @ ( C @ relation_dom @ set_intersection2 ) @ ( B @ in ) )
         => ( ( B @ ( A @ ( C @ relation_dom_restriction ) @ apply ) )
            = ( B @ ( C @ apply ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(30,axiom,
    ? [A: $i] :
      ( ( A @ relation )
      & ~ ( A @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).

thf(134,plain,
    ? [A: $i] :
      ( ( A @ relation )
      & ~ ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A = empty_set ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

thf(73,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A = empty_set ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(40,axiom,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).

thf(180,plain,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(34,axiom,
    ? [A: $i] :
      ( ( A @ relation_empty_yielding )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).

thf(149,plain,
    ? [A: $i] :
      ( ( A @ relation_empty_yielding )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(7,axiom,
    empty_set @ empty,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

thf(59,plain,
    empty_set @ empty,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( ( A @ relation_dom @ relation )
        & ( A @ relation_dom @ empty ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).

thf(118,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( ( A @ relation_dom @ relation )
        & ( A @ relation_dom @ empty ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(23,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ relation )
        & ( A @ relation ) )
     => ( B @ ( A @ set_intersection2 ) @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_relat_1) ).

thf(113,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ relation )
        & ( A @ relation ) )
     => ( B @ ( A @ set_intersection2 ) @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(12,axiom,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).

thf(76,plain,
    ! [A: $i] :
    ? [B: $i] :
      ( ( B @ empty )
      & ( A @ powerset @ ( B @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(20,axiom,
    ? [A: $i] :
      ( ( A @ one_to_one )
      & ( A @ function )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).

thf(103,plain,
    ? [A: $i] :
      ( ( A @ one_to_one )
      & ( A @ function )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(32,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ function )
        & ( A @ relation ) )
     => ( ( B @ ( A @ relation_dom_restriction ) @ function )
        & ( B @ ( A @ relation_dom_restriction ) @ relation ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).

thf(140,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ function )
        & ( A @ relation ) )
     => ( ( B @ ( A @ relation_dom_restriction ) @ function )
        & ( B @ ( A @ relation_dom_restriction ) @ relation ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(16,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(91,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ empty )
        & ( C @ powerset @ ( B @ element ) )
        & ( B @ ( A @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).

thf(66,plain,
    ! [A: $i] :
      ( ~ ( A @ empty )
     => ? [B: $i] :
          ( ~ ( B @ empty )
          & ( A @ powerset @ ( B @ element ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(21,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ element ) )
     => ( ( B @ ( A @ in ) )
        | ( B @ empty ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

thf(108,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ element ) )
     => ( ( B @ ( A @ in ) )
        | ( B @ empty ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(13,axiom,
    ! [A: $i] :
    ? [B: $i] : ( A @ ( B @ element ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

thf(80,plain,
    ! [A: $i] :
    ? [B: $i] : ( A @ ( B @ element ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(37,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ function ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).

thf(167,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ function ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(4,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( A != B )
        & ( A @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).

thf(50,plain,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( A != B )
        & ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(28,axiom,
    ! [A: $i] :
      ( ( ( A @ relation )
        & ~ ( A @ empty ) )
     => ~ ( A @ relation_dom @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).

thf(127,plain,
    ! [A: $i] :
      ( ( ( A @ relation )
        & ~ ( A @ empty ) )
     => ~ ( A @ relation_dom @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(19,axiom,
    ? [A: $i] :
      ( ( A @ relation )
      & ( A @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).

thf(99,plain,
    ? [A: $i] :
      ( ( A @ relation )
      & ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(15,axiom,
    ( ( empty_set @ relation )
    & ( empty_set @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).

thf(87,plain,
    ( ( empty_set @ relation )
    & ( empty_set @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(198,plain,
    $false,
    inference(e,[status(thm)],[138,115,60,97,169,54,48,175,82,146,94,122,56,153,110,125,70,165,129,41,134,73,180,149,59,118,113,76,103,140,91,66,108,80,167,50,127,99,87]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU037+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
% 0.13/10.54  % Computer : n019.cluster.edu
% 0.13/10.54  % Model    : x86_64 x86_64
% 0.13/10.54  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.54  % Memory   : 8046.5625MB
% 0.13/10.54  % OS       : Linux 6.8.0-71-generic
% 0.13/10.54  % CPULimit : 300
% 0.13/10.54  % WCLimit  : 300
% 0.13/10.54  % DateTime : Sat Sep 26 08:32:29 UTC 2026
% 0.13/10.54  % CPUTime  : 
% 0.13/10.54  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
% 0.16/10.83  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.16/10.95  % [INFO] 	 Parsing done (112ms). 
% 0.16/10.96  % [INFO] 	 Running in sequential loop mode. 
% 1.52/11.17  % [INFO] 	 eprover registered as external prover. 
% 1.52/11.18  % [INFO] 	 Scanning for conjecture ... 
% 1.62/11.29  % [INFO] 	 Found a conjecture (or negated_conjecture) and 38 axioms. Running axiom selection ... 
% 1.81/11.37  % [INFO] 	 Axiom selection finished. Selected 38 axioms (removed 0 axioms). 
% 2.03/11.42  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.03/11.43  % [INFO] 	 Type checking passed. 
% 2.03/11.43  % [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 ... 
% 4.18/12.27  % External prover 'e' found a proof!
% 4.18/12.27  % [INFO] 	 Killing All external provers ... 
% 4.18/12.27  % Time passed: 1640ms (effective reasoning time: 1308ms)
% 4.18/12.27  % 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)>
% 4.18/12.27  % Axioms used in derivation (38): idempotence_k3_xboole_0, t2_boole, rc3_funct_1, rc1_funct_1, t5_subset, fc5_relat_1, dt_k7_relat_1, rc2_relat_1, t68_funct_1, rc2_xboole_0, antisymmetry_r2_hidden, fc1_xboole_0, fc4_relat_1, fc4_funct_1, t1_subset, cc1_relat_1, commutativity_k3_xboole_0, rc3_relat_1, t6_boole, rc2_subset_1, fc13_relat_1, t4_subset, t7_boole, cc1_funct_1, fc1_subset_1, rc2_funct_1, rc1_subset_1, cc2_funct_1, t3_subset, existence_m1_subset_1, rc1_relat_1, reflexivity_r1_tarski, fc1_relat_1, t8_boole, rc1_xboole_0, t2_subset, fc7_relat_1, fc12_relat_1
% 4.18/12.27  % No. of inferences in proof: 80
% 4.18/12.27  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1640 ms resp. 1308 ms w/o parsing
% 4.63/12.36  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.63/12.37  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------