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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : DAT276^1 : TPTP v9.3.1. Released v7.0.0.
% 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 : n026.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 07:48:12 AM UTC 2026

% Result   : Theorem 11.64s 4.84s
% Output   : Refutation 12.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  26 unt;   0 typ;   5 def)
%            Number of atoms       :   37 (  36 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  619 (  18   ~;   3   |;   0   &; 598   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-6 aty)
%            Number of variables   :  101 (   0   ^;  96   !;   0   ?; 101   :)
%                                         (   0  !>;   0  ?*;   0  @-;   5  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(skt1_type,type,
    skt1: $tType ).

thf(skt2_type,type,
    skt2: $tType ).

thf(skt3_type,type,
    skt3: $tType ).

thf('const/lists/TL_decl',type,
    'const/lists/TL': 
      !>[TA: $tType] : ( ( 'type/ind_types/list' @ TA ) > ( 'type/ind_types/list' @ TA ) ) ).

thf('const/lists/MAP2_decl',type,
    'const/lists/MAP2': 
      !>[TA: $tType,TB: $tType,TC: $tType] : ( ( TC > TB > TA ) > ( 'type/ind_types/list' @ TC ) > ( 'type/ind_types/list' @ TB ) > ( 'type/ind_types/list' @ TA ) ) ).

thf('const/lists/HD_decl',type,
    'const/lists/HD': 
      !>[TA: $tType] : ( ( 'type/ind_types/list' @ TA ) > TA ) ).

thf('const/ind_types/CONS_decl',type,
    'const/ind_types/CONS': 
      !>[TA: $tType] : ( TA > ( 'type/ind_types/list' @ TA ) > ( 'type/ind_types/list' @ TA ) ) ).

thf(sk1_decl,type,
    sk1: skt2 ).

thf(sk2_decl,type,
    sk2: skt3 ).

thf(sk3_decl,type,
    sk3: skt2 > skt3 > skt1 ).

thf(sk4_decl,type,
    sk4: 'type/ind_types/list' @ skt2 ).

thf(sk5_decl,type,
    sk5: 'type/ind_types/list' @ skt3 ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: skt2] :
          ~ ! [B: skt3,C: skt2 > skt3 > skt1,D: 'type/ind_types/list' @ skt2,E: 'type/ind_types/list' @ skt3] :
              ( ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ C @ ( 'const/ind_types/CONS' @ skt2 @ A @ D ) @ ( 'const/ind_types/CONS' @ skt3 @ B @ E ) )
              = ( 'const/ind_types/CONS' @ skt1 @ ( C @ A @ B ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ C @ D @ E ) ) ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: skt3] :
          ~ ! [B: skt2 > skt3 > skt1,C: 'type/ind_types/list' @ skt2,D: 'type/ind_types/list' @ skt3] :
              ( ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ B @ ( 'const/ind_types/CONS' @ skt2 @ sk1 @ C ) @ ( 'const/ind_types/CONS' @ skt3 @ A @ D ) )
              = ( 'const/ind_types/CONS' @ skt1 @ ( B @ sk1 @ A ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ B @ C @ D ) ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( @+[A: skt2 > skt3 > skt1] :
          ~ ! [B: 'type/ind_types/list' @ skt2,C: 'type/ind_types/list' @ skt3] :
              ( ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ A @ ( 'const/ind_types/CONS' @ skt2 @ sk1 @ B ) @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ C ) )
              = ( 'const/ind_types/CONS' @ skt1 @ ( A @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ A @ B @ C ) ) ) ) ) ).

thf(sk4_def,definition,
    ( sk4
    = ( @+[A: 'type/ind_types/list' @ skt2] :
          ~ ! [B: 'type/ind_types/list' @ skt3] :
              ( ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ ( 'const/ind_types/CONS' @ skt2 @ sk1 @ A ) @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ B ) )
              = ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ A @ B ) ) ) ) ) ).

thf(sk5_def,definition,
    ( sk5
    = ( @+[A: 'type/ind_types/list' @ skt3] :
          ( ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ ( 'const/ind_types/CONS' @ skt2 @ sk1 @ sk4 ) @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ A ) )
         != ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ A ) ) ) ) ) ).

thf(3,axiom,
    ! [TA: $tType,A: TA,B: 'type/ind_types/list' @ TA] :
      ( ( 'const/lists/TL' @ TA @ ( 'const/ind_types/CONS' @ TA @ A @ B ) )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/TL_') ).

thf(9,plain,
    ! [TA: $tType,A: TA,B: 'type/ind_types/list' @ TA] :
      ( ( 'const/lists/TL' @ TA @ ( 'const/ind_types/CONS' @ TA @ A @ B ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(10,plain,
    ! [TA: $tType,B: 'type/ind_types/list' @ TA,A: TA] :
      ( ( 'const/lists/TL' @ TA @ ( 'const/ind_types/CONS' @ TA @ A @ B ) )
      = B ),
    inference(cnf,[status(esa)],[9]) ).

thf(11,plain,
    ! [TA: $tType,B: 'type/ind_types/list' @ TA,A: TA] :
      ( ( 'const/lists/TL' @ TA @ ( 'const/ind_types/CONS' @ TA @ A @ B ) )
      = B ),
    inference(lifteq,[status(thm)],[10]) ).

thf(4,axiom,
    ! [TA: $tType,A: 'type/ind_types/list' @ TA,B: TA] :
      ( ( 'const/lists/HD' @ TA @ ( 'const/ind_types/CONS' @ TA @ B @ A ) )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/HD_') ).

thf(12,plain,
    ! [TA: $tType,A: 'type/ind_types/list' @ TA,B: TA] :
      ( ( 'const/lists/HD' @ TA @ ( 'const/ind_types/CONS' @ TA @ B @ A ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(13,plain,
    ! [TA: $tType,B: TA,A: 'type/ind_types/list' @ TA] :
      ( ( 'const/lists/HD' @ TA @ ( 'const/ind_types/CONS' @ TA @ B @ A ) )
      = B ),
    inference(cnf,[status(esa)],[12]) ).

thf(14,plain,
    ! [TA: $tType,B: TA,A: 'type/ind_types/list' @ TA] :
      ( ( 'const/lists/HD' @ TA @ ( 'const/ind_types/CONS' @ TA @ B @ A ) )
      = B ),
    inference(lifteq,[status(thm)],[13]) ).

thf(5,axiom,
    ! [TA: $tType,TB: $tType,TC: $tType,A: TB,B: TB > TA > TC,C: 'type/ind_types/list' @ TB,D: 'type/ind_types/list' @ TA] :
      ( ( 'const/lists/MAP2' @ TB @ TA @ TC @ B @ ( 'const/ind_types/CONS' @ TB @ A @ C ) @ D )
      = ( 'const/ind_types/CONS' @ TC @ ( B @ A @ ( 'const/lists/HD' @ TA @ D ) ) @ ( 'const/lists/MAP2' @ TB @ TA @ TC @ B @ C @ ( 'const/lists/TL' @ TA @ D ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/MAP2_DEF_1') ).

thf(15,plain,
    ! [TA: $tType,TB: $tType,TC: $tType,A: TB,B: TB > TA > TC,C: 'type/ind_types/list' @ TB,D: 'type/ind_types/list' @ TA] :
      ( ( 'const/lists/MAP2' @ TB @ TA @ TC @ B @ ( 'const/ind_types/CONS' @ TB @ A @ C ) @ D )
      = ( 'const/ind_types/CONS' @ TC @ ( B @ A @ ( 'const/lists/HD' @ TA @ D ) ) @ ( 'const/lists/MAP2' @ TB @ TA @ TC @ B @ C @ ( 'const/lists/TL' @ TA @ D ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(16,plain,
    ! [TA: $tType,TB: $tType,TC: $tType,D: 'type/ind_types/list' @ TC,C: 'type/ind_types/list' @ TB,B: TB > TC > TA,A: TB] :
      ( ( 'const/lists/MAP2' @ TB @ TC @ TA @ B @ ( 'const/ind_types/CONS' @ TB @ A @ C ) @ D )
      = ( 'const/ind_types/CONS' @ TA @ ( B @ A @ ( 'const/lists/HD' @ TC @ D ) ) @ ( 'const/lists/MAP2' @ TB @ TC @ TA @ B @ C @ ( 'const/lists/TL' @ TC @ D ) ) ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(17,plain,
    ! [TA: $tType,TB: $tType,TC: $tType,D: 'type/ind_types/list' @ TC,C: 'type/ind_types/list' @ TB,B: TB > TC > TA,A: TB] :
      ( ( 'const/lists/MAP2' @ TB @ TC @ TA @ B @ ( 'const/ind_types/CONS' @ TB @ A @ C ) @ D )
      = ( 'const/ind_types/CONS' @ TA @ ( B @ A @ ( 'const/lists/HD' @ TC @ D ) ) @ ( 'const/lists/MAP2' @ TB @ TC @ TA @ B @ C @ ( 'const/lists/TL' @ TC @ D ) ) ) ),
    inference(lifteq,[status(thm)],[16]) ).

thf(1,conjecture,
    ! [TA: $tType,TB: $tType,TC: $tType,A: TB,B: TA,C: TB > TA > TC,D: 'type/ind_types/list' @ TB,E: 'type/ind_types/list' @ TA] :
      ( ( 'const/lists/MAP2' @ TB @ TA @ TC @ C @ ( 'const/ind_types/CONS' @ TB @ A @ D ) @ ( 'const/ind_types/CONS' @ TA @ B @ E ) )
      = ( 'const/ind_types/CONS' @ TC @ ( C @ A @ B ) @ ( 'const/lists/MAP2' @ TB @ TA @ TC @ C @ D @ E ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/MAP2_1') ).

thf(2,negated_conjecture,
    ~ ! [TA: $tType,TB: $tType,TC: $tType,A: TB,B: TA,C: TB > TA > TC,D: 'type/ind_types/list' @ TB,E: 'type/ind_types/list' @ TA] :
        ( ( 'const/lists/MAP2' @ TB @ TA @ TC @ C @ ( 'const/ind_types/CONS' @ TB @ A @ D ) @ ( 'const/ind_types/CONS' @ TA @ B @ E ) )
        = ( 'const/ind_types/CONS' @ TC @ ( C @ A @ B ) @ ( 'const/lists/MAP2' @ TB @ TA @ TC @ C @ D @ E ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(6,plain,
    ~ ! [TA: $tType,TB: $tType,TC: $tType,A: TB,B: TA,C: TB > TA > TC,D: 'type/ind_types/list' @ TB,E: 'type/ind_types/list' @ TA] :
        ( ( 'const/lists/MAP2' @ TB @ TA @ TC @ C @ ( 'const/ind_types/CONS' @ TB @ A @ D ) @ ( 'const/ind_types/CONS' @ TA @ B @ E ) )
        = ( 'const/ind_types/CONS' @ TC @ ( C @ A @ B ) @ ( 'const/lists/MAP2' @ TB @ TA @ TC @ C @ D @ E ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7,plain,
    ( ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ ( 'const/ind_types/CONS' @ skt2 @ sk1 @ sk4 ) @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ sk5 ) )
   != ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ sk5 ) ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(8,plain,
    ( ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ ( 'const/ind_types/CONS' @ skt2 @ sk1 @ sk4 ) @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ sk5 ) )
   != ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ sk5 ) ) ),
    inference(lifteq,[status(thm)],[7]) ).

thf(23,plain,
    ! [TB: $tType,TC: $tType,D: 'type/ind_types/list' @ TC,C: 'type/ind_types/list' @ TB,B: TB > TC > skt1,A: TB] :
      ( ( ( 'const/ind_types/CONS' @ skt1 @ ( B @ A @ ( 'const/lists/HD' @ TC @ D ) ) @ ( 'const/lists/MAP2' @ TB @ TC @ skt1 @ B @ C @ ( 'const/lists/TL' @ TC @ D ) ) )
       != ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ sk5 ) ) )
      | ( ( 'const/lists/MAP2' @ TB @ TC @ skt1 @ B @ ( 'const/ind_types/CONS' @ TB @ A @ C ) @ D )
       != ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ ( 'const/ind_types/CONS' @ skt2 @ sk1 @ sk4 ) @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ sk5 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[17,8]) ).

thf(24,plain,
    ( ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ ( 'const/lists/HD' @ skt3 @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ sk5 ) ) ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ ( 'const/lists/TL' @ skt3 @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ sk5 ) ) ) )
   != ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ sk5 ) ) ),
    inference(pattern_uni,[status(thm)],[23:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 )),bind(C,$thf( sk4 )),bind(D,$thf( 'const/ind_types/CONS' @ skt3 @ sk2 @ sk5 )),bind_type(TA,$thf( TA )),bind_type(TB,$thf( skt2 )),bind_type(TC,$thf( skt3 ))]]) ).

thf(62,plain,
    ! [B: skt3,A: 'type/ind_types/list' @ skt3] :
      ( ( ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ B ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ ( 'const/lists/TL' @ skt3 @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ sk5 ) ) ) )
       != ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ sk5 ) ) )
      | ( ( 'const/lists/HD' @ skt3 @ ( 'const/ind_types/CONS' @ skt3 @ B @ A ) )
       != ( 'const/lists/HD' @ skt3 @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ sk5 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[14,24]) ).

thf(63,plain,
    ( ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ ( 'const/lists/TL' @ skt3 @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ sk5 ) ) ) )
   != ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ sk5 ) ) ),
    inference(pattern_uni,[status(thm)],[62:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).

thf(89,plain,
    ! [B: 'type/ind_types/list' @ skt3,A: skt3] :
      ( ( ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ B ) )
       != ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ sk5 ) ) )
      | ( ( 'const/lists/TL' @ skt3 @ ( 'const/ind_types/CONS' @ skt3 @ A @ B ) )
       != ( 'const/lists/TL' @ skt3 @ ( 'const/ind_types/CONS' @ skt3 @ sk2 @ sk5 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[11,63]) ).

thf(90,plain,
    ( ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ sk5 ) )
   != ( 'const/ind_types/CONS' @ skt1 @ ( sk3 @ sk1 @ sk2 ) @ ( 'const/lists/MAP2' @ skt2 @ skt3 @ skt1 @ sk3 @ sk4 @ sk5 ) ) ),
    inference(pattern_uni,[status(thm)],[89:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).

thf(97,plain,
    $false,
    inference(simp,[status(thm)],[90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : DAT276^1 : TPTP v9.3.1. Released v7.0.0.
% 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
% 0.10/0.22  % Computer : n026.cluster.edu
% 0.10/0.22  % Model    : x86_64 x86_64
% 0.10/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22  % Memory   : 8046.5625MB
% 0.10/0.22  % OS       : Linux 6.8.0-71-generic
% 0.10/0.22  % CPULimit : 300
% 0.10/0.22  % WCLimit  : 300
% 0.10/0.22  % DateTime : Tue Sep 29 18:21:42 UTC 2026
% 0.10/0.22  % CPUTime  : 
% 0.10/0.22  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
% 0.86/0.79  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.21/1.00  % [INFO] 	 Parsing done (201ms). 
% 1.21/1.01  % [INFO] 	 Running in sequential loop mode. 
% 2.08/1.41  % [INFO] 	 eprover registered as external prover. 
% 2.08/1.42  % [INFO] 	 Scanning for conjecture ... 
% 2.27/1.53  % [INFO] 	 Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ... 
% 2.27/1.58  % [INFO] 	 Axiom selection finished. Selected 3 axioms (removed 0 axioms). 
% 2.27/1.60  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.46/1.60  % [INFO] 	 Type checking passed. 
% 2.46/1.61  % [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 ... 
% 11.64/4.84  % [INFO] 	 Killing All external provers ... 
% 11.64/4.84  % Time passed: 4477ms (effective reasoning time: 3819ms)
% 11.64/4.84  % 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)>
% 11.64/4.84  % Axioms used in derivation (3): thm/lists/TL_, thm/lists/HD_, thm/lists/MAP2_DEF_1
% 11.64/4.84  % No. of inferences in proof: 24
% 11.64/4.84  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4477 ms resp. 3819 ms w/o parsing
% 12.13/4.91  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.13/4.91  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------