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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEU320+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 : n001.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 08:38:26 AM UTC 2026

% Result   : Theorem 34.16s 13.95s
% Output   : Refutation 34.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   49 (  11 unt;   0 typ;   2 def)
%            Number of atoms       :  184 (  29 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  761 (  91   ~;  75   |;  10   &; 557   @)
%                                         (   3 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   56 (   0   ^;  54   !;   0   ?;  56   :)
%                                         (   0  !>;   0  ?*;   0  @-;   2  @+)

% Comments : 
%------------------------------------------------------------------------------
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(open_subset_decl,type,
    open_subset: $i > $i > $o ).

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

thf(subset_complement_decl,type,
    subset_complement: $i > $i > $i ).

thf(sk1_decl,type,
    sk1: $i ).

thf(sk2_decl,type,
    sk2: $i ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: $i] :
          ~ ( ( A @ top_str )
           => ! [B: $i] :
                ( ( A @ the_carrier @ powerset @ ( B @ element ) )
               => ( ( ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ closed_subset ) )
                   => ( A @ ( B @ open_subset ) ) )
                  & ( ( A @ ( B @ open_subset ) )
                   => ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ closed_subset ) ) ) ) ) ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: $i] :
          ~ ( ( sk1 @ the_carrier @ powerset @ ( A @ element ) )
           => ( ( ( sk1 @ ( A @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
               => ( sk1 @ ( A @ open_subset ) ) )
              & ( ( sk1 @ ( A @ open_subset ) )
               => ( sk1 @ ( A @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) ) ) ) ) ) ) ).

thf(1,conjecture,
    ! [A: $i] :
      ( ( A @ top_str )
     => ! [B: $i] :
          ( ( A @ the_carrier @ powerset @ ( B @ element ) )
         => ( ( A @ ( B @ open_subset ) )
          <=> ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ closed_subset ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_tops_1) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] :
        ( ( A @ top_str )
       => ! [B: $i] :
            ( ( A @ the_carrier @ powerset @ ( B @ element ) )
           => ( ( A @ ( B @ open_subset ) )
            <=> ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ closed_subset ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(16,plain,
    ~ ! [A: $i] :
        ( ( A @ top_str )
       => ! [B: $i] :
            ( ( A @ the_carrier @ powerset @ ( B @ element ) )
           => ( ( ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ closed_subset ) )
               => ( A @ ( B @ open_subset ) ) )
              & ( ( A @ ( B @ open_subset ) )
               => ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ closed_subset ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(17,plain,
    ( ( ~ ( sk1 @ ( sk2 @ open_subset ) )
      | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) ) )
    & ( ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
      | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) ) )
    & ( ~ ( sk1 @ ( sk2 @ open_subset ) )
      | ( sk1 @ ( sk2 @ open_subset ) ) )
    & ( ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
      | ( sk1 @ ( sk2 @ open_subset ) ) )
    & ( sk1 @ the_carrier @ powerset @ ( sk2 @ element ) )
    & ( sk1 @ top_str ) ),
    inference(cnf,[status(esa)],[16]) ).

thf(22,plain,
    ( ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
    | ( sk1 @ ( sk2 @ open_subset ) ) ),
    inference(cnfConj,[status(thm)],[17]) ).

thf(19,plain,
    sk1 @ the_carrier @ powerset @ ( sk2 @ element ),
    inference(cnfConj,[status(thm)],[17]) ).

thf(4,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ powerset @ ( B @ element ) )
     => ( A @ powerset @ ( B @ ( A @ subset_complement ) @ element ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).

thf(25,plain,
    ! [A: $i,B: $i] :
      ( ( A @ powerset @ ( B @ element ) )
     => ( A @ powerset @ ( B @ ( A @ subset_complement ) @ element ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(26,plain,
    ! [B: $i,A: $i] :
      ( ( A @ powerset @ ( B @ ( A @ subset_complement ) @ element ) )
      | ~ ( A @ powerset @ ( B @ element ) ) ),
    inference(cnf,[status(esa)],[25]) ).

thf(95,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk1 @ the_carrier @ powerset @ ( sk2 @ element ) )
       != ( A @ powerset @ ( B @ element ) ) )
      | ( A @ powerset @ ( B @ ( A @ subset_complement ) @ element ) )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[19,26]) ).

thf(96,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk1 @ the_carrier @ powerset @ ( sk2 @ element ) )
       != ( A @ powerset @ ( B @ element ) ) )
      | ( A @ powerset @ ( B @ ( A @ subset_complement ) @ element ) ) ),
    inference(simp,[status(thm)],[95]) ).

thf(97,plain,
    sk1 @ the_carrier @ powerset @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ element ),
    inference(pattern_uni,[status(thm)],[96:[bind(A,$thf( sk1 @ the_carrier )),bind(B,$thf( sk2 ))]]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( A @ top_str )
     => ! [B: $i] :
          ( ( A @ the_carrier @ powerset @ ( B @ element ) )
         => ( ( A @ ( B @ closed_subset ) )
          <=> ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ open_subset ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_tops_1) ).

thf(43,plain,
    ! [A: $i] :
      ( ( A @ top_str )
     => ! [B: $i] :
          ( ( A @ the_carrier @ powerset @ ( B @ element ) )
         => ( ( ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ open_subset ) )
             => ( A @ ( B @ closed_subset ) ) )
            & ( ( A @ ( B @ closed_subset ) )
             => ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ open_subset ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(44,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( B @ closed_subset ) )
        | ~ ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ open_subset ) )
        | ~ ( A @ the_carrier @ powerset @ ( B @ element ) )
        | ~ ( A @ top_str ) )
      & ( ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ open_subset ) )
        | ~ ( A @ ( B @ closed_subset ) )
        | ~ ( A @ the_carrier @ powerset @ ( B @ element ) )
        | ~ ( A @ top_str ) ) ),
    inference(cnf,[status(esa)],[43]) ).

thf(45,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ open_subset ) )
      | ~ ( A @ ( B @ closed_subset ) )
      | ~ ( A @ the_carrier @ powerset @ ( B @ element ) )
      | ~ ( A @ top_str ) ),
    inference(cnfConj,[status(thm)],[44]) ).

thf(21,plain,
    ( ~ ( sk1 @ ( sk2 @ open_subset ) )
    | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) ) ),
    inference(cnfConj,[status(thm)],[17]) ).

thf(59,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ open_subset ) )
       != ( sk1 @ ( sk2 @ open_subset ) ) )
      | ~ $true
      | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
      | ~ ( A @ ( B @ closed_subset ) )
      | ~ ( A @ the_carrier @ powerset @ ( B @ element ) )
      | ~ ( A @ top_str ) ),
    inference(paramod_ordered,[status(thm)],[45,21]) ).

thf(60,plain,
    ! [B: $i,A: $i] :
      ( ( ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ open_subset ) )
       != ( sk1 @ ( sk2 @ open_subset ) ) )
      | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
      | ~ ( A @ ( B @ closed_subset ) )
      | ~ ( A @ the_carrier @ powerset @ ( B @ element ) )
      | ~ ( A @ top_str ) ),
    inference(simp,[status(thm)],[59]) ).

thf(64,plain,
    ! [B: $i,A: $i] :
      ( ( A != sk1 )
      | ( ( B @ ( A @ the_carrier @ subset_complement ) )
       != sk2 )
      | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
      | ~ ( A @ ( B @ closed_subset ) )
      | ~ ( A @ the_carrier @ powerset @ ( B @ element ) )
      | ~ ( A @ top_str ) ),
    inference(simp,[status(thm)],[60]) ).

thf(65,plain,
    ! [A: $i] :
      ( ( ( A @ ( sk1 @ the_carrier @ subset_complement ) )
       != sk2 )
      | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
      | ~ ( sk1 @ ( A @ closed_subset ) )
      | ~ ( sk1 @ the_carrier @ powerset @ ( A @ element ) )
      | ~ ( sk1 @ top_str ) ),
    inference(simp,[status(thm)],[64]) ).

thf(23,plain,
    sk1 @ top_str,
    inference(cnfConj,[status(thm)],[17]) ).

thf(164,plain,
    ! [A: $i] :
      ( ( ( A @ ( sk1 @ the_carrier @ subset_complement ) )
       != sk2 )
      | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
      | ~ ( sk1 @ ( A @ closed_subset ) )
      | ~ ( sk1 @ the_carrier @ powerset @ ( A @ element ) )
      | ~ $true ),
    inference(rewrite,[status(thm)],[65,23]) ).

thf(165,plain,
    ! [A: $i] :
      ( ( ( A @ ( sk1 @ the_carrier @ subset_complement ) )
       != sk2 )
      | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
      | ~ ( sk1 @ ( A @ closed_subset ) )
      | ~ ( sk1 @ the_carrier @ powerset @ ( A @ element ) ) ),
    inference(simp,[status(thm)],[164]) ).

thf(169,plain,
    ! [A: $i] :
      ( ( ( sk1 @ the_carrier @ powerset @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ element ) )
       != ( sk1 @ the_carrier @ powerset @ ( A @ element ) ) )
      | ( ( A @ ( sk1 @ the_carrier @ subset_complement ) )
       != sk2 )
      | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
      | ~ ( sk1 @ ( A @ closed_subset ) )
      | ~ $true ),
    inference(paramod_ordered,[status(thm)],[97,165]) ).

thf(170,plain,
    ! [A: $i] :
      ( ( ( sk1 @ the_carrier @ powerset @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ element ) )
       != ( sk1 @ the_carrier @ powerset @ ( A @ element ) ) )
      | ( ( A @ ( sk1 @ the_carrier @ subset_complement ) )
       != sk2 )
      | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
      | ~ ( sk1 @ ( A @ closed_subset ) ) ),
    inference(simp,[status(thm)],[169]) ).

thf(171,plain,
    ( ( ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ ( sk1 @ the_carrier @ subset_complement ) )
     != sk2 )
    | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
    | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) ) ),
    inference(pattern_uni,[status(thm)],[170:[bind(A,$thf( sk2 @ ( sk1 @ the_carrier @ subset_complement ) ))]]) ).

thf(199,plain,
    ( ( ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ ( sk1 @ the_carrier @ subset_complement ) )
     != sk2 )
    | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) ) ),
    inference(simp,[status(thm)],[171]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ powerset @ ( B @ element ) )
     => ( ( B @ ( A @ subset_complement ) @ ( A @ subset_complement ) )
        = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).

thf(38,plain,
    ! [A: $i,B: $i] :
      ( ( A @ powerset @ ( B @ element ) )
     => ( ( B @ ( A @ subset_complement ) @ ( A @ subset_complement ) )
        = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(39,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ subset_complement ) @ ( A @ subset_complement ) )
        = B )
      | ~ ( A @ powerset @ ( B @ element ) ) ),
    inference(cnf,[status(esa)],[38]) ).

thf(40,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ powerset @ ( B @ element ) )
      | ( ( B @ ( A @ subset_complement ) @ ( A @ subset_complement ) )
        = B ) ),
    inference(lifteq,[status(thm)],[39]) ).

thf(273,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk1 @ the_carrier @ powerset @ ( sk2 @ element ) )
       != ( A @ powerset @ ( B @ element ) ) )
      | ~ $true
      | ( ( B @ ( A @ subset_complement ) @ ( A @ subset_complement ) )
        = B ) ),
    inference(paramod_ordered,[status(thm)],[19,40]) ).

thf(274,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk1 @ the_carrier @ powerset @ ( sk2 @ element ) )
       != ( A @ powerset @ ( B @ element ) ) )
      | ( ( B @ ( A @ subset_complement ) @ ( A @ subset_complement ) )
        = B ) ),
    inference(simp,[status(thm)],[273]) ).

thf(275,plain,
    ( ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ ( sk1 @ the_carrier @ subset_complement ) )
    = sk2 ),
    inference(pattern_uni,[status(thm)],[274:[bind(A,$thf( sk1 @ the_carrier )),bind(B,$thf( sk2 ))]]) ).

thf(561,plain,
    ( ( sk2 != sk2 )
    | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) ) ),
    inference(rewrite,[status(thm)],[199,275]) ).

thf(562,plain,
    ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) ),
    inference(simp,[status(thm)],[561]) ).

thf(563,plain,
    ( $false
    | ( sk1 @ ( sk2 @ open_subset ) ) ),
    inference(rewrite,[status(thm)],[22,562]) ).

thf(564,plain,
    sk1 @ ( sk2 @ open_subset ),
    inference(simp,[status(thm)],[563]) ).

thf(46,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ closed_subset ) )
      | ~ ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ open_subset ) )
      | ~ ( A @ the_carrier @ powerset @ ( B @ element ) )
      | ~ ( A @ top_str ) ),
    inference(cnfConj,[status(thm)],[44]) ).

thf(371,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk1 @ the_carrier @ powerset @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ element ) )
       != ( A @ the_carrier @ powerset @ ( B @ element ) ) )
      | ( A @ ( B @ closed_subset ) )
      | ~ ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ open_subset ) )
      | ~ $true
      | ~ ( A @ top_str ) ),
    inference(paramod_ordered,[status(thm)],[97,46]) ).

thf(372,plain,
    ! [B: $i,A: $i] :
      ( ( ( sk1 @ the_carrier @ powerset @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ element ) )
       != ( A @ the_carrier @ powerset @ ( B @ element ) ) )
      | ( A @ ( B @ closed_subset ) )
      | ~ ( A @ ( B @ ( A @ the_carrier @ subset_complement ) @ open_subset ) )
      | ~ ( A @ top_str ) ),
    inference(simp,[status(thm)],[371]) ).

thf(373,plain,
    ( ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ closed_subset ) )
    | ~ ( sk1 @ ( sk2 @ ( sk1 @ the_carrier @ subset_complement ) @ ( sk1 @ the_carrier @ subset_complement ) @ open_subset ) )
    | ~ ( sk1 @ top_str ) ),
    inference(pattern_uni,[status(thm)],[372:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 @ ( sk1 @ the_carrier @ subset_complement ) ))]]) ).

thf(8606,plain,
    ( $false
    | ~ ( sk1 @ ( sk2 @ open_subset ) )
    | ~ $true ),
    inference(rewrite,[status(thm)],[373,562,275,23]) ).

thf(8607,plain,
    ~ ( sk1 @ ( sk2 @ open_subset ) ),
    inference(simp,[status(thm)],[8606]) ).

thf(8608,plain,
    $false,
    inference(rewrite,[status(thm)],[564,8607]) ).

thf(8609,plain,
    $false,
    inference(simp,[status(thm)],[8608]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU320+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
% 0.14/5.41  % Computer : n001.cluster.edu
% 0.14/5.41  % Model    : x86_64 x86_64
% 0.14/5.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.41  % Memory   : 8046.5625MB
% 0.14/5.41  % OS       : Linux 6.8.0-71-generic
% 0.14/5.41  % CPULimit : 300
% 0.14/5.41  % WCLimit  : 300
% 0.14/5.41  % DateTime : Sat Sep 26 09:17:48 UTC 2026
% 0.14/5.41  % CPUTime  : 
% 0.14/5.41  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
% 0.18/5.74  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 0.18/5.84  % [INFO] 	 Parsing done (94ms). 
% 0.18/5.84  % [INFO] 	 Running in sequential loop mode. 
% 1.38/6.03  % [INFO] 	 eprover registered as external prover. 
% 1.38/6.04  % [INFO] 	 Scanning for conjecture ... 
% 1.38/6.08  % [INFO] 	 Found a conjecture (or negated_conjecture) and 13 axioms. Running axiom selection ... 
% 1.38/6.10  % [INFO] 	 Axiom selection finished. Selected 13 axioms (removed 0 axioms). 
% 1.38/6.12  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.38/6.12  % [INFO] 	 Type checking passed. 
% 1.38/6.12  % [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 ... 
% 34.16/13.94  % [INFO] 	 Killing All external provers ... 
% 34.16/13.95  % Time passed: 8415ms (effective reasoning time: 8099ms)
% 34.16/13.95  % 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)>
% 34.16/13.95  % Axioms used in derivation (3): dt_k3_subset_1, t29_tops_1, involutiveness_k3_subset_1
% 34.16/13.95  % No. of inferences in proof: 47
% 34.16/13.95  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8415 ms resp. 8099 ms w/o parsing
% 34.16/14.01  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 34.16/14.01  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------