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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEU782^2 : TPTP v9.3.1. Released v3.7.0.
% 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 : n007.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 : Wed Sep 30 08:29:18 AM UTC 2026

% Result   : Theorem 28.34s 8.80s
% Output   : Refutation 28.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   51 (  17 unt;   0 typ;   9 def)
%            Number of atoms       :  208 (  25 equ;   0 cnn)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  769 (  71   ~;  70   |;   9   &; 566   @)
%                                         (   0 <=>;  53  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  13 usr;   8 con; 0-3 aty)
%            Number of variables   :  127 (   6   ^; 117   !;   0   ?; 127   :)
%                                         (   0  !>;   0  ?*;   0  @-;   4  @+)

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

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

thf(subsetI1_decl,type,
    subsetI1: $o ).

thf(subsetE_decl,type,
    subsetE: $o ).

thf(binunion_decl,type,
    binunion: $i > $i > $i ).

thf(binunionEcases_decl,type,
    binunionEcases: $o ).

thf(cartprod_decl,type,
    cartprod: $i > $i > $i ).

thf(breln_decl,type,
    breln: $i > $i > $i > $o ).

thf(breln1_decl,type,
    breln1: $i > $i > $o ).

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

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

thf(sk3_decl,type,
    sk3: $i ).

thf(sk4_decl,type,
    sk4: $i ).

thf(subsetI1_def,definition,
    ( subsetI1
    = ( ! [A: $i,B: $i] :
          ( ! [C: $i] :
              ( ( in @ C @ A )
             => ( in @ C @ B ) )
         => ( subset @ A @ B ) ) ) ) ).

thf(subsetE_def,definition,
    ( subsetE
    = ( ! [A: $i,B: $i,C: $i] :
          ( ( subset @ A @ B )
         => ( ( in @ C @ A )
           => ( in @ C @ B ) ) ) ) ) ).

thf(binunionEcases_def,definition,
    ( binunionEcases
    = ( ! [A: $i,B: $i,C: $i,D: $o] :
          ( ( in @ C @ ( binunion @ A @ B ) )
         => ( ( ( in @ C @ A )
             => D )
           => ( ( ( in @ C @ B )
               => D )
             => D ) ) ) ) ) ).

thf(breln_def,definition,
    ( breln
    = ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).

thf(breln1_def,definition,
    ( breln1
    = ( ^ [A: $i] : ( breln @ A @ A ) ) ) ).

thf(sk1_def,definition,
    ( sk1
    = ( ^ [A: $i,B: $i] :
        @+[C: $i] :
          ~ ( ( in @ C @ B )
           => ( in @ C @ A ) ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: $i] :
          ~ ! [B: $i] :
              ( ( subset @ B @ ( cartprod @ A @ A ) )
             => ! [C: $i] :
                  ( ( subset @ C @ ( cartprod @ A @ A ) )
                 => ( subset @ ( binunion @ B @ C ) @ ( cartprod @ A @ A ) ) ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( @+[A: $i] :
          ~ ( ( subset @ A @ ( cartprod @ sk2 @ sk2 ) )
           => ! [B: $i] :
                ( ( subset @ B @ ( cartprod @ sk2 @ sk2 ) )
               => ( subset @ ( binunion @ A @ B ) @ ( cartprod @ sk2 @ sk2 ) ) ) ) ) ) ).

thf(sk4_def,definition,
    ( sk4
    = ( @+[A: $i] :
          ~ ( ( subset @ A @ ( cartprod @ sk2 @ sk2 ) )
           => ( subset @ ( binunion @ sk3 @ A ) @ ( cartprod @ sk2 @ sk2 ) ) ) ) ) ).

thf(1,conjecture,
    ( subsetI1
   => ( subsetE
     => ( binunionEcases
       => ! [A: $i,B: $i] :
            ( ( breln1 @ A @ B )
           => ! [C: $i] :
                ( ( breln1 @ A @ C )
               => ( breln1 @ A @ ( binunion @ B @ C ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1unionprop) ).

thf(2,negated_conjecture,
    ~ ( subsetI1
     => ( subsetE
       => ( binunionEcases
         => ! [A: $i,B: $i] :
              ( ( breln1 @ A @ B )
             => ! [C: $i] :
                  ( ( breln1 @ A @ C )
                 => ( breln1 @ A @ ( binunion @ B @ C ) ) ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ! [A: $i,B: $i] :
          ( ! [C: $i] :
              ( ( in @ C @ A )
             => ( in @ C @ B ) )
         => ( subset @ A @ B ) )
     => ( ! [A: $i,B: $i,C: $i] :
            ( ( subset @ A @ B )
           => ( ( in @ C @ A )
             => ( in @ C @ B ) ) )
       => ( ! [A: $i,B: $i,C: $i,D: $o] :
              ( ( in @ C @ ( binunion @ A @ B ) )
             => ( ( ( in @ C @ A )
                 => D )
               => ( ( ( in @ C @ B )
                   => D )
                 => D ) ) )
         => ! [A: $i,B: $i] :
              ( ( subset @ B @ ( cartprod @ A @ A ) )
             => ! [C: $i] :
                  ( ( subset @ C @ ( cartprod @ A @ A ) )
                 => ( subset @ ( binunion @ B @ C ) @ ( cartprod @ A @ A ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ~ ( ! [A: $i,B: $i] :
          ( ! [C: $i] :
              ( ( in @ C @ A )
             => ( in @ C @ B ) )
         => ( subset @ A @ B ) )
     => ( ! [A: $i,B: $i] :
            ( ( subset @ A @ B )
           => ! [C: $i] :
                ( ( in @ C @ A )
               => ( in @ C @ B ) ) )
       => ( ! [A: $i,B: $i,C: $i] :
              ( ( in @ C @ ( binunion @ A @ B ) )
             => ! [D: $o] :
                  ( ( ( in @ C @ A )
                   => D )
                 => ( ( ( in @ C @ B )
                     => D )
                   => D ) ) )
         => ! [A: $i,B: $i] :
              ( ( subset @ B @ ( cartprod @ A @ A ) )
             => ! [C: $i] :
                  ( ( subset @ C @ ( cartprod @ A @ A ) )
                 => ( subset @ ( binunion @ B @ C ) @ ( cartprod @ A @ A ) ) ) ) ) ) ),
    inference(miniscope,[status(thm)],[3]) ).

thf(5,plain,
    ! [I: $o,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( in @ ( sk1 @ B @ A ) @ A )
        | ( subset @ A @ B ) )
      & ( ~ ( in @ ( sk1 @ B @ A ) @ B )
        | ( subset @ A @ B ) )
      & ( ~ ( subset @ C @ D )
        | ~ ( in @ E @ C )
        | ( in @ E @ D ) )
      & ( ~ ( in @ H @ ( binunion @ F @ G ) )
        | ( in @ H @ F )
        | ( in @ H @ G )
        | I )
      & ( ~ ( in @ H @ ( binunion @ F @ G ) )
        | ( in @ H @ F )
        | ~ I
        | I )
      & ( ~ ( in @ H @ ( binunion @ F @ G ) )
        | ~ I
        | ( in @ H @ G )
        | I )
      & ( ~ ( in @ H @ ( binunion @ F @ G ) )
        | ~ I
        | ~ I
        | I )
      & ( subset @ sk3 @ ( cartprod @ sk2 @ sk2 ) )
      & ( subset @ sk4 @ ( cartprod @ sk2 @ sk2 ) )
      & ~ ( subset @ ( binunion @ sk3 @ sk4 ) @ ( cartprod @ sk2 @ sk2 ) ) ),
    inference(cnf,[status(esa)],[4]) ).

thf(8,plain,
    ! [B: $i,A: $i] :
      ( ( in @ ( sk1 @ B @ A ) @ A )
      | ( subset @ A @ B ) ),
    inference(cnfConj,[status(thm)],[5]) ).

thf(12,plain,
    ~ ( subset @ ( binunion @ sk3 @ sk4 ) @ ( cartprod @ sk2 @ sk2 ) ),
    inference(cnfConj,[status(thm)],[5]) ).

thf(47,plain,
    ! [B: $i,A: $i] :
      ( ( in @ ( sk1 @ B @ A ) @ A )
      | ~ $true
      | ( ( subset @ A @ B )
       != ( subset @ ( binunion @ sk3 @ sk4 ) @ ( cartprod @ sk2 @ sk2 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[8,12]) ).

thf(48,plain,
    ! [B: $i,A: $i] :
      ( ( in @ ( sk1 @ B @ A ) @ A )
      | ( ( subset @ A @ B )
       != ( subset @ ( binunion @ sk3 @ sk4 ) @ ( cartprod @ sk2 @ sk2 ) ) ) ),
    inference(simp,[status(thm)],[47]) ).

thf(49,plain,
    in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ ( binunion @ sk3 @ sk4 ),
    inference(pattern_uni,[status(thm)],[48:[bind(A,$thf( binunion @ sk3 @ sk4 )),bind(B,$thf( cartprod @ sk2 @ sk2 ))]]) ).

thf(13,plain,
    ! [D: $o,C: $i,B: $i,A: $i] :
      ( ~ ( in @ C @ ( binunion @ A @ B ) )
      | ( in @ C @ A )
      | ( in @ C @ B )
      | D ),
    inference(cnfConj,[status(thm)],[5]) ).

thf(18,plain,
    ! [D: $o,C: $i,B: $i,A: $i] :
      ( ~ ( in @ C @ ( binunion @ A @ B ) )
      | ( in @ C @ A )
      | ( in @ C @ B )
      | D ),
    inference(simp,[status(thm)],[13]) ).

thf(9,plain,
    subset @ sk3 @ ( cartprod @ sk2 @ sk2 ),
    inference(cnfConj,[status(thm)],[5]) ).

thf(15,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subset @ A @ B )
      | ~ ( in @ C @ A )
      | ( in @ C @ B ) ),
    inference(cnfConj,[status(thm)],[5]) ).

thf(20,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subset @ A @ B )
      | ~ ( in @ C @ A )
      | ( in @ C @ B ) ),
    inference(simp,[status(thm)],[15]) ).

thf(32,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ $true
      | ~ ( in @ C @ A )
      | ( in @ C @ B )
      | ( ( subset @ sk3 @ ( cartprod @ sk2 @ sk2 ) )
       != ( subset @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[9,20]) ).

thf(33,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( in @ C @ A )
      | ( in @ C @ B )
      | ( ( subset @ sk3 @ ( cartprod @ sk2 @ sk2 ) )
       != ( subset @ A @ B ) ) ),
    inference(simp,[status(thm)],[32]) ).

thf(34,plain,
    ! [A: $i] :
      ( ~ ( in @ A @ sk3 )
      | ( in @ A @ ( cartprod @ sk2 @ sk2 ) ) ),
    inference(pattern_uni,[status(thm)],[33:[bind(A,$thf( sk3 )),bind(B,$thf( cartprod @ sk2 @ sk2 )),bind(C,$thf( C ))]]) ).

thf(38,plain,
    ! [A: $i] :
      ( ~ ( in @ A @ sk3 )
      | ( in @ A @ ( cartprod @ sk2 @ sk2 ) ) ),
    inference(simp,[status(thm)],[34]) ).

thf(10,plain,
    ! [B: $i,A: $i] :
      ( ~ ( in @ ( sk1 @ B @ A ) @ B )
      | ( subset @ A @ B ) ),
    inference(cnfConj,[status(thm)],[5]) ).

thf(98,plain,
    ! [B: $i,A: $i] :
      ( ~ ( in @ ( sk1 @ B @ A ) @ B )
      | ~ $true
      | ( ( subset @ A @ B )
       != ( subset @ ( binunion @ sk3 @ sk4 ) @ ( cartprod @ sk2 @ sk2 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[10,12]) ).

thf(99,plain,
    ! [B: $i,A: $i] :
      ( ~ ( in @ ( sk1 @ B @ A ) @ B )
      | ( ( subset @ A @ B )
       != ( subset @ ( binunion @ sk3 @ sk4 ) @ ( cartprod @ sk2 @ sk2 ) ) ) ),
    inference(simp,[status(thm)],[98]) ).

thf(100,plain,
    ~ ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ ( cartprod @ sk2 @ sk2 ) ),
    inference(pattern_uni,[status(thm)],[99:[bind(A,$thf( binunion @ sk3 @ sk4 )),bind(B,$thf( cartprod @ sk2 @ sk2 ))]]) ).

thf(146,plain,
    ! [A: $i] :
      ( ~ ( in @ A @ sk3 )
      | ~ $true
      | ( ( in @ A @ ( cartprod @ sk2 @ sk2 ) )
       != ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ ( cartprod @ sk2 @ sk2 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[38,100]) ).

thf(147,plain,
    ! [A: $i] :
      ( ~ ( in @ A @ sk3 )
      | ( ( in @ A @ ( cartprod @ sk2 @ sk2 ) )
       != ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ ( cartprod @ sk2 @ sk2 ) ) ) ),
    inference(simp,[status(thm)],[146]) ).

thf(148,plain,
    ~ ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ sk3 ),
    inference(pattern_uni,[status(thm)],[147:[bind(A,$thf( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ))]]) ).

thf(274,plain,
    ! [D: $o,C: $i,B: $i,A: $i] :
      ( ~ ( in @ C @ ( binunion @ A @ B ) )
      | ( in @ C @ A )
      | ( in @ C @ B )
      | ~ $true
      | ( D
       != ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[18,148]) ).

thf(275,plain,
    ! [D: $o,C: $i,B: $i,A: $i] :
      ( ~ ( in @ C @ ( binunion @ A @ B ) )
      | ( in @ C @ A )
      | ( in @ C @ B )
      | ( D
       != ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ sk3 ) ) ),
    inference(simp,[status(thm)],[274]) ).

thf(276,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( in @ C @ ( binunion @ A @ B ) )
      | ( in @ C @ A )
      | ( in @ C @ B ) ),
    inference(pattern_uni,[status(thm)],[275:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ sk3 ))]]) ).

thf(8289,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ $true
      | ( in @ C @ A )
      | ( in @ C @ B )
      | ( ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ ( binunion @ sk3 @ sk4 ) )
       != ( in @ C @ ( binunion @ A @ B ) ) ) ),
    inference(paramod_ordered,[status(thm)],[49,276]) ).

thf(8290,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( in @ C @ A )
      | ( in @ C @ B )
      | ( ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ ( binunion @ sk3 @ sk4 ) )
       != ( in @ C @ ( binunion @ A @ B ) ) ) ),
    inference(simp,[status(thm)],[8289]) ).

thf(8291,plain,
    ( ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ sk3 )
    | ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ sk4 ) ),
    inference(pattern_uni,[status(thm)],[8290:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 )),bind(C,$thf( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ))]]) ).

thf(11,plain,
    subset @ sk4 @ ( cartprod @ sk2 @ sk2 ),
    inference(cnfConj,[status(thm)],[5]) ).

thf(35,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ $true
      | ~ ( in @ C @ A )
      | ( in @ C @ B )
      | ( ( subset @ sk4 @ ( cartprod @ sk2 @ sk2 ) )
       != ( subset @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[11,20]) ).

thf(36,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( in @ C @ A )
      | ( in @ C @ B )
      | ( ( subset @ sk4 @ ( cartprod @ sk2 @ sk2 ) )
       != ( subset @ A @ B ) ) ),
    inference(simp,[status(thm)],[35]) ).

thf(37,plain,
    ! [A: $i] :
      ( ~ ( in @ A @ sk4 )
      | ( in @ A @ ( cartprod @ sk2 @ sk2 ) ) ),
    inference(pattern_uni,[status(thm)],[36:[bind(A,$thf( sk4 )),bind(B,$thf( cartprod @ sk2 @ sk2 )),bind(C,$thf( C ))]]) ).

thf(39,plain,
    ! [A: $i] :
      ( ~ ( in @ A @ sk4 )
      | ( in @ A @ ( cartprod @ sk2 @ sk2 ) ) ),
    inference(simp,[status(thm)],[37]) ).

thf(141,plain,
    ! [A: $i] :
      ( ~ ( in @ A @ sk4 )
      | ~ $true
      | ( ( in @ A @ ( cartprod @ sk2 @ sk2 ) )
       != ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ ( cartprod @ sk2 @ sk2 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[39,100]) ).

thf(142,plain,
    ! [A: $i] :
      ( ~ ( in @ A @ sk4 )
      | ( ( in @ A @ ( cartprod @ sk2 @ sk2 ) )
       != ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ ( cartprod @ sk2 @ sk2 ) ) ) ),
    inference(simp,[status(thm)],[141]) ).

thf(143,plain,
    ~ ( in @ ( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ) @ sk4 ),
    inference(pattern_uni,[status(thm)],[142:[bind(A,$thf( sk1 @ ( cartprod @ sk2 @ sk2 ) @ ( binunion @ sk3 @ sk4 ) ))]]) ).

thf(14794,plain,
    ( $false
    | $false ),
    inference(rewrite,[status(thm)],[8291,148,143]) ).

thf(14795,plain,
    $false,
    inference(simp,[status(thm)],[14794]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU782^2 : TPTP v9.3.1. Released v3.7.0.
% 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
% 0.11/0.22  % Computer : n007.cluster.edu
% 0.11/0.22  % Model    : x86_64 x86_64
% 0.11/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22  % Memory   : 8046.5625MB
% 0.11/0.22  % OS       : Linux 6.8.0-71-generic
% 0.11/0.22  % CPULimit : 300
% 0.11/0.22  % WCLimit  : 300
% 0.11/0.22  % DateTime : Tue Sep 29 14:26:25 UTC 2026
% 0.11/0.23  % CPUTime  : 
% 0.11/0.23  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
% 0.64/0.54  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.00/0.65  % [INFO] 	 Parsing done (101ms). 
% 1.00/0.65  % [INFO] 	 Running in sequential loop mode. 
% 1.48/0.95  % [INFO] 	 eprover registered as external prover. 
% 1.48/0.96  % [INFO] 	 Scanning for conjecture ... 
% 1.86/1.11  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.05/1.16  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.05/1.16  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.05/1.17  % [INFO] 	 Type checking passed. 
% 2.05/1.18  % [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 ... 
% 36.47/8.79  % [INFO] 	 Killing All external provers ... 
% 36.47/8.80  % Time passed: 8465ms (effective reasoning time: 8137ms)
% 36.47/8.80  % 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)>
% 28.34/8.80  % Axioms used in derivation (0): 
% 28.34/8.80  % No. of inferences in proof: 42
% 28.34/8.80  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 8465 ms resp. 8137 ms w/o parsing
% 28.34/8.86  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 28.34/8.86  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------