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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : NUM394+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 : n020.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 08:08:44 AM UTC 2026

% Result   : Theorem 5.99s 3.39s
% Output   : Refutation 6.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   74 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :  200 (   6 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  412 (  24   ~;   7   |;  71   &; 262   @)
%                                         (   3 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   2 con; 0-2 aty)
%            Number of variables   :  104 (   0   ^;  80   !;  24   ?; 104   :)

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

thf(ordinal_subset_decl,type,
    ordinal_subset: $i > $i > $o ).

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

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

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

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

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

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

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

thf(relation_non_empty_decl,type,
    relation_non_empty: $i > $o ).

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

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

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

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

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

thf(6,axiom,
    ( ( empty_set @ relation_empty_yielding )
    & ( empty_set @ relation )
    & ( empty_set @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).

thf(57,plain,
    ( ( empty_set @ relation_empty_yielding )
    & ( empty_set @ relation )
    & ( empty_set @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(24,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(121,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ empty )
        & ( C @ powerset @ ( B @ element ) )
        & ( B @ ( A @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(32,axiom,
    ! [A: $i] :
      ( ( ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) )
     => ( A @ ordinal ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_ordinal1) ).

thf(147,plain,
    ! [A: $i] :
      ( ( ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) )
     => ( A @ ordinal ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(14,axiom,
    ? [A: $i] :
      ( ( A @ relation )
      & ( A @ empty ) ),
    file('/export/starexec/sandbox/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(27,axiom,
    ! [A: $i] :
      ( ( A @ epsilon_transitive )
    <=> ! [B: $i] :
          ( ( A @ ( B @ in ) )
         => ( A @ ( B @ subset ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).

thf(129,plain,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ( ( A @ ( B @ in ) )
           => ( A @ ( B @ subset ) ) )
       => ( A @ epsilon_transitive ) )
      & ( ( A @ epsilon_transitive )
       => ! [B: $i] :
            ( ( A @ ( B @ in ) )
           => ( A @ ( B @ subset ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(33,axiom,
    ? [A: $i] :
      ( ( A @ ordinal )
      & ( A @ epsilon_connected )
      & ( A @ epsilon_transitive ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_ordinal1) ).

thf(149,plain,
    ? [A: $i] :
      ( ( A @ ordinal )
      & ( A @ epsilon_connected )
      & ( A @ epsilon_transitive ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(3,axiom,
    ? [A: $i] :
      ( ( A @ relation_empty_yielding )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).

thf(44,plain,
    ? [A: $i] :
      ( ( A @ relation_empty_yielding )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

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

thf(108,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(37,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ ordinal )
        & ( A @ ordinal ) )
     => ( ( B @ ( A @ ordinal_subset ) )
      <=> ( B @ ( A @ subset ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).

thf(162,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ ordinal )
        & ( A @ ordinal ) )
     => ( ( ( B @ ( A @ subset ) )
         => ( B @ ( A @ ordinal_subset ) ) )
        & ( ( B @ ( A @ ordinal_subset ) )
         => ( B @ ( A @ subset ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(4,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(48,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)],[4]) ).

thf(7,axiom,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ relation_non_empty )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_funct_1) ).

thf(62,plain,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ relation_non_empty )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ function ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).

thf(117,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ function ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).

thf(102,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(1,conjecture,
    ! [A: $i] :
      ( ( A @ ordinal )
     => ! [B: $i] :
          ( ( B @ ordinal )
         => ( ( A @ ( B @ in ) )
            | ( B @ ( A @ ordinal_subset ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_ordinal1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] :
        ( ( A @ ordinal )
       => ! [B: $i] :
            ( ( B @ ordinal )
           => ( ( A @ ( B @ in ) )
              | ( B @ ( A @ ordinal_subset ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(38,plain,
    ~ ! [A: $i] :
        ( ( A @ ordinal )
       => ! [B: $i] :
            ( ( B @ ordinal )
           => ( ( A @ ( B @ in ) )
              | ( B @ ( A @ ordinal_subset ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ ordinal )
        & ( A @ ordinal ) )
     => ( ( A @ ( B @ ordinal_subset ) )
        | ( B @ ( A @ ordinal_subset ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).

thf(137,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ ordinal )
        & ( A @ ordinal ) )
     => ( ( A @ ( B @ ordinal_subset ) )
        | ( B @ ( A @ ordinal_subset ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(35,axiom,
    ! [A: $i] :
      ( ( A @ ordinal )
     => ! [B: $i] :
          ( ( B @ ordinal )
         => ~ ( ~ ( A @ ( B @ in ) )
              & ( A != B )
              & ~ ( B @ ( A @ in ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).

thf(156,plain,
    ! [A: $i] :
      ( ( A @ ordinal )
     => ! [B: $i] :
          ( ( B @ ordinal )
         => ~ ( ~ ( A @ ( B @ in ) )
              & ( A != B )
              & ~ ( B @ ( A @ in ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(5,axiom,
    ( ( empty_set @ relation )
    & ( empty_set @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).

thf(53,plain,
    ( ( empty_set @ relation )
    & ( empty_set @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(30,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ( B @ ( A @ element ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

thf(141,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ( B @ ( A @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(25,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( B @ ( A @ in ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

thf(124,plain,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( B @ ( A @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(10,axiom,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ empty )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).

thf(77,plain,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ empty )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(15,axiom,
    ? [A: $i] :
      ~ ( A @ empty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).

thf(96,plain,
    ? [A: $i] :
      ~ ( A @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( A != B )
        & ( A @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).

thf(86,plain,
    ! [A: $i,B: $i] :
      ~ ( ( B @ empty )
        & ( A != B )
        & ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(36,axiom,
    ! [A: $i,B: $i] :
      ( ( ( B @ ordinal )
        & ( A @ ordinal ) )
     => ( A @ ( A @ ordinal_subset ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_ordinal1) ).

thf(159,plain,
    ! [A: $i,B: $i] :
      ( ( ( B @ ordinal )
        & ( A @ ordinal ) )
     => ( A @ ( A @ ordinal_subset ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(8,axiom,
    ? [A: $i] :
      ( ( A @ one_to_one )
      & ( A @ function )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).

thf(67,plain,
    ? [A: $i] :
      ( ( A @ one_to_one )
      & ( A @ function )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(26,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ element ) )
     => ( ( B @ ( A @ in ) )
        | ( B @ empty ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

thf(127,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ element ) )
     => ( ( B @ ( A @ in ) )
        | ( B @ empty ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

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(154,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 @ function )
      & ( A @ relation_empty_yielding )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_funct_1) ).

thf(72,plain,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ relation_empty_yielding )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(31,axiom,
    ! [A: $i] :
      ( ( A @ ordinal )
     => ( ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).

thf(143,plain,
    ! [A: $i] :
      ( ( A @ ordinal )
     => ( ( A @ epsilon_connected )
        & ( A @ epsilon_transitive ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

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

thf(99,plain,
    empty_set @ empty,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(19,axiom,
    ? [A: $i] :
      ( ( A @ relation )
      & ~ ( A @ empty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).

thf(104,plain,
    ? [A: $i] :
      ( ( A @ relation )
      & ~ ( A @ empty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A = empty_set ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

thf(114,plain,
    ! [A: $i] :
      ( ( A @ empty )
     => ( A = empty_set ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(29,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

thf(139,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ in ) )
     => ~ ( A @ ( B @ in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(23,axiom,
    ! [A: $i] :
    ? [B: $i] : ( A @ ( B @ element ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

thf(119,plain,
    ! [A: $i] :
    ? [B: $i] : ( A @ ( B @ element ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(11,axiom,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).

thf(82,plain,
    ? [A: $i] :
      ( ( A @ function )
      & ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(13,axiom,
    ? [A: $i] : ( A @ empty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).

thf(90,plain,
    ? [A: $i] : ( A @ empty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(17,axiom,
    ! [A: $i,B: $i] : ( A @ ( A @ subset ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

thf(100,plain,
    ! [A: $i] : ( A @ ( A @ subset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(166,plain,
    $false,
    inference(e,[status(thm)],[57,121,147,92,129,149,44,108,162,48,62,117,102,38,137,156,53,141,124,77,96,86,159,67,127,154,72,143,99,104,114,139,119,82,90,100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM394+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.11  % 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
% 0.24/0.50  % Computer : n020.cluster.edu
% 0.24/0.50  % Model    : x86_64 x86_64
% 0.24/0.50  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.50  % Memory   : 8046.5625MB
% 0.24/0.50  % OS       : Linux 6.8.0-71-generic
% 0.24/0.50  % CPULimit : 300
% 0.24/0.50  % WCLimit  : 300
% 0.24/0.50  % DateTime : Sat Sep 26 02:39:04 UTC 2026
% 0.24/0.50  % CPUTime  : 
% 0.24/0.50  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
% 0.94/1.00  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.51/1.27  % [INFO] 	 Parsing done (273ms). 
% 1.51/1.29  % [INFO] 	 Running in sequential loop mode. 
% 2.82/1.91  % [INFO] 	 eprover registered as external prover. 
% 2.82/1.92  % [INFO] 	 Scanning for conjecture ... 
% 3.09/2.06  % [INFO] 	 Found a conjecture (or negated_conjecture) and 35 axioms. Running axiom selection ... 
% 3.28/2.17  % [INFO] 	 Axiom selection finished. Selected 35 axioms (removed 0 axioms). 
% 3.37/2.25  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 3.37/2.26  % [INFO] 	 Type checking passed. 
% 3.37/2.27  % [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 ... 
% 5.99/3.39  % External prover 'e' found a proof!
% 5.99/3.39  % [INFO] 	 Killing All external provers ... 
% 5.99/3.39  % Time passed: 2752ms (effective reasoning time: 2085ms)
% 5.99/3.39  % 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)>
% 5.99/3.39  % Axioms used in derivation (35): redefinition_r1_ordinal1, rc3_funct_1, cc1_relat_1, rc1_funct_1, rc4_funct_1, t4_subset, cc1_ordinal1, rc2_relat_1, reflexivity_r1_ordinal1, rc2_xboole_0, antisymmetry_r2_hidden, fc1_xboole_0, fc4_relat_1, t1_subset, rc3_relat_1, t6_boole, cc2_ordinal1, t5_subset, rc5_funct_1, t7_boole, cc1_funct_1, rc2_funct_1, connectedness_r1_ordinal1, cc2_funct_1, t3_subset, t24_ordinal1, existence_m1_subset_1, rc1_ordinal1, rc1_relat_1, reflexivity_r1_tarski, t8_boole, rc1_xboole_0, t2_subset, d2_ordinal1, fc12_relat_1
% 5.99/3.39  % No. of inferences in proof: 74
% 5.99/3.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2752 ms resp. 2085 ms w/o parsing
% 6.57/3.51  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.57/3.51  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------