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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : NUN048^1 : 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 : n008.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 08:19:50 AM UTC 2026

% Result   : Theorem 7.27s 3.14s
% Output   : Refutation 7.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   43 (  17 unt;   0 typ;   4 def)
%            Number of atoms       :  143 (  43 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  438 (  44   ~;  27   |;   8   &; 346   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   85 (   3   ^;  78   !;   0   ?;  85   :)
%                                         (   0  !>;   0  ?*;   0  @-;   4  @+)

% Comments : 
%------------------------------------------------------------------------------
thf('type/nums/num_type',type,
    'type/nums/num': $tType ).

thf('const/nums/NUMERAL_decl',type,
    'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).

thf('const/nums/_0_decl',type,
    'const/nums/_0': 'type/nums/num' ).

thf('const/iterate/nsum_decl',type,
    'const/iterate/nsum': 
      !>[TA: $tType] : ( ( TA > $o ) > ( TA > 'type/nums/num' ) > 'type/nums/num' ) ).

thf('const/iterate/.._decl',type,
    'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).

thf('const/arith/<=_decl',type,
    'const/arith/<=': 'type/nums/num' > 'type/nums/num' > $o ).

thf('const/arith/<_decl',type,
    'const/arith/<': 'type/nums/num' > 'type/nums/num' > $o ).

thf(sk1_decl,type,
    sk1: 'type/nums/num' > 'type/nums/num' ).

thf(sk2_decl,type,
    sk2: 'type/nums/num' ).

thf(sk3_decl,type,
    sk3: 'type/nums/num' ).

thf(sk4_decl,type,
    sk4: 'type/nums/num' > 'type/nums/num' > ( 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: 'type/nums/num' > 'type/nums/num'] :
          ~ ! [B: 'type/nums/num',C: 'type/nums/num'] :
              ( ( 'const/arith/<' @ C @ B )
             => ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
                = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: 'type/nums/num'] :
          ~ ! [B: 'type/nums/num'] :
              ( ( 'const/arith/<' @ B @ A )
             => ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ A @ B ) @ sk1 )
                = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( @+[A: 'type/nums/num'] :
          ~ ( ( 'const/arith/<' @ A @ sk2 )
           => ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ A ) @ sk1 )
              = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ) ).

thf(sk4_def,definition,
    ( sk4
    = ( ^ [A: 'type/nums/num',B: 'type/nums/num',C: 'type/nums/num' > 'type/nums/num'] :
        @+[D: 'type/nums/num'] :
          ~ ( ( ( 'const/arith/<=' @ B @ D )
              & ( 'const/arith/<=' @ D @ A ) )
           => ( ( C @ D )
              = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ) ).

thf(6,axiom,
    ! [A: 'type/nums/num' > 'type/nums/num',B: 'type/nums/num',C: 'type/nums/num'] :
      ( ! [D: 'type/nums/num'] :
          ( ( ( 'const/arith/<=' @ B @ D )
            & ( 'const/arith/<=' @ D @ C ) )
         => ( ( A @ D )
            = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
     => ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
        = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/NSUM_EQ_0_NUMSEG_') ).

thf(20,plain,
    ! [A: 'type/nums/num' > 'type/nums/num',B: 'type/nums/num',C: 'type/nums/num'] :
      ( ! [D: 'type/nums/num'] :
          ( ( ( 'const/arith/<=' @ B @ D )
            & ( 'const/arith/<=' @ D @ C ) )
         => ( ( A @ D )
            = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
     => ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
        = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(21,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num' > 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ B @ ( sk4 @ C @ B @ A ) )
        | ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
          = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
      & ( ( 'const/arith/<=' @ ( sk4 @ C @ B @ A ) @ C )
        | ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
          = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
      & ( ( ( A @ ( sk4 @ C @ B @ A ) )
         != ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
        | ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
          = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
    inference(cnf,[status(esa)],[20]) ).

thf(23,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num' > 'type/nums/num'] :
      ( ( 'const/arith/<=' @ ( sk4 @ C @ B @ A ) @ C )
      | ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
        = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
    inference(cnfConj,[status(thm)],[21]) ).

thf(26,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num' > 'type/nums/num'] :
      ( ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
        = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
      | ( 'const/arith/<=' @ ( sk4 @ C @ B @ A ) @ C ) ),
    inference(lifteq,[status(thm)],[23]) ).

thf(1,conjecture,
    ! [A: 'type/nums/num' > 'type/nums/num',B: 'type/nums/num',C: 'type/nums/num'] :
      ( ( 'const/arith/<' @ C @ B )
     => ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
        = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/NSUM_TRIV_NUMSEG_') ).

thf(2,negated_conjecture,
    ~ ! [A: 'type/nums/num' > 'type/nums/num',B: 'type/nums/num',C: 'type/nums/num'] :
        ( ( 'const/arith/<' @ C @ B )
       => ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
          = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(7,plain,
    ~ ! [A: 'type/nums/num' > 'type/nums/num',B: 'type/nums/num',C: 'type/nums/num'] :
        ( ( 'const/arith/<' @ C @ B )
       => ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
          = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(8,plain,
    ( ( 'const/arith/<' @ sk3 @ sk2 )
    & ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ sk3 ) @ sk1 )
     != ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
    inference(cnf,[status(esa)],[7]) ).

thf(10,plain,
    ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ sk3 ) @ sk1 )
   != ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ),
    inference(cnfConj,[status(thm)],[8]) ).

thf(11,plain,
    ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ sk3 ) @ sk1 )
   != ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ),
    inference(lifteq,[status(thm)],[10]) ).

thf(238,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num' > 'type/nums/num'] :
      ( ( 'const/arith/<=' @ ( sk4 @ C @ B @ A ) @ C )
      | ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
       != ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
      | ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
       != ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ sk3 ) @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[26,11]) ).

thf(239,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num' > 'type/nums/num'] :
      ( ( 'const/arith/<=' @ ( sk4 @ C @ B @ A ) @ C )
      | ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
       != ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ sk3 ) @ sk1 ) ) ),
    inference(simp,[status(thm)],[238]) ).

thf(240,plain,
    'const/arith/<=' @ ( sk4 @ sk3 @ sk2 @ sk1 ) @ sk3,
    inference(pattern_uni,[status(thm)],[239:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 )),bind(C,$thf( sk3 ))]]) ).

thf(22,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num' > 'type/nums/num'] :
      ( ( 'const/arith/<=' @ B @ ( sk4 @ C @ B @ A ) )
      | ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
        = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
    inference(cnfConj,[status(thm)],[21]) ).

thf(25,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num' > 'type/nums/num'] :
      ( ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
        = ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
      | ( 'const/arith/<=' @ B @ ( sk4 @ C @ B @ A ) ) ),
    inference(lifteq,[status(thm)],[22]) ).

thf(104,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num' > 'type/nums/num'] :
      ( ( 'const/arith/<=' @ B @ ( sk4 @ C @ B @ A ) )
      | ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
       != ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
      | ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
       != ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ sk3 ) @ sk1 ) ) ),
    inference(paramod_ordered,[status(thm)],[25,11]) ).

thf(105,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num' > 'type/nums/num'] :
      ( ( 'const/arith/<=' @ B @ ( sk4 @ C @ B @ A ) )
      | ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ B @ C ) @ A )
       != ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sk2 @ sk3 ) @ sk1 ) ) ),
    inference(simp,[status(thm)],[104]) ).

thf(106,plain,
    'const/arith/<=' @ sk2 @ ( sk4 @ sk3 @ sk2 @ sk1 ),
    inference(pattern_uni,[status(thm)],[105:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 )),bind(C,$thf( sk3 ))]]) ).

thf(5,axiom,
    ! [A: 'type/nums/num',B: 'type/nums/num',C: 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ A @ B )
        & ( 'const/arith/<=' @ B @ C ) )
     => ( 'const/arith/<=' @ A @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/arith/LE_TRANS_') ).

thf(18,plain,
    ! [A: 'type/nums/num',B: 'type/nums/num',C: 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ A @ B )
        & ( 'const/arith/<=' @ B @ C ) )
     => ( 'const/arith/<=' @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(19,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num'] :
      ( ~ ( 'const/arith/<=' @ A @ B )
      | ~ ( 'const/arith/<=' @ B @ C )
      | ( 'const/arith/<=' @ A @ C ) ),
    inference(cnf,[status(esa)],[18]) ).

thf(9,plain,
    'const/arith/<' @ sk3 @ sk2,
    inference(cnfConj,[status(thm)],[8]) ).

thf(4,axiom,
    ! [A: 'type/nums/num',B: 'type/nums/num'] :
      ( ( ~ ( 'const/arith/<' @ A @ B ) )
      = ( 'const/arith/<=' @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/arith/NOT_LT_') ).

thf(15,plain,
    ! [A: 'type/nums/num',B: 'type/nums/num'] :
      ( ( ~ ( 'const/arith/<' @ A @ B ) )
      = ( 'const/arith/<=' @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(16,plain,
    ! [B: 'type/nums/num',A: 'type/nums/num'] :
      ( ( ~ ( 'const/arith/<' @ A @ B ) )
      = ( 'const/arith/<=' @ B @ A ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(17,plain,
    ! [B: 'type/nums/num',A: 'type/nums/num'] :
      ( ( ~ ( 'const/arith/<' @ A @ B ) )
      = ( 'const/arith/<=' @ B @ A ) ),
    inference(lifteq,[status(thm)],[16]) ).

thf(30,plain,
    ! [B: 'type/nums/num',A: 'type/nums/num'] :
      ( ( ( 'const/arith/<=' @ B @ A )
        = ( ~ $true ) )
      | ( ( 'const/arith/<' @ sk3 @ sk2 )
       != ( 'const/arith/<' @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[9,17]) ).

thf(31,plain,
    ! [B: 'type/nums/num',A: 'type/nums/num'] :
      ( ~ ( 'const/arith/<=' @ B @ A )
      | ( ( 'const/arith/<' @ sk3 @ sk2 )
       != ( 'const/arith/<' @ A @ B ) ) ),
    inference(simp,[status(thm)],[30]) ).

thf(32,plain,
    ~ ( 'const/arith/<=' @ sk2 @ sk3 ),
    inference(pattern_uni,[status(thm)],[31:[bind(A,$thf( sk3 )),bind(B,$thf( sk2 ))]]) ).

thf(68,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num'] :
      ( ~ ( 'const/arith/<=' @ A @ B )
      | ~ ( 'const/arith/<=' @ B @ C )
      | ~ $true
      | ( ( 'const/arith/<=' @ A @ C )
       != ( 'const/arith/<=' @ sk2 @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[19,32]) ).

thf(69,plain,
    ! [C: 'type/nums/num',B: 'type/nums/num',A: 'type/nums/num'] :
      ( ~ ( 'const/arith/<=' @ A @ B )
      | ~ ( 'const/arith/<=' @ B @ C )
      | ( ( 'const/arith/<=' @ A @ C )
       != ( 'const/arith/<=' @ sk2 @ sk3 ) ) ),
    inference(simp,[status(thm)],[68]) ).

thf(70,plain,
    ! [A: 'type/nums/num'] :
      ( ~ ( 'const/arith/<=' @ sk2 @ A )
      | ~ ( 'const/arith/<=' @ A @ sk3 ) ),
    inference(pattern_uni,[status(thm)],[69:[bind(A,$thf( sk2 )),bind(B,$thf( B )),bind(C,$thf( sk3 ))]]) ).

thf(78,plain,
    ! [A: 'type/nums/num'] :
      ( ~ ( 'const/arith/<=' @ sk2 @ A )
      | ~ ( 'const/arith/<=' @ A @ sk3 ) ),
    inference(simp,[status(thm)],[70]) ).

thf(136,plain,
    ! [A: 'type/nums/num'] :
      ( ~ $true
      | ~ ( 'const/arith/<=' @ A @ sk3 )
      | ( ( 'const/arith/<=' @ sk2 @ ( sk4 @ sk3 @ sk2 @ sk1 ) )
       != ( 'const/arith/<=' @ sk2 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[106,78]) ).

thf(137,plain,
    ! [A: 'type/nums/num'] :
      ( ~ ( 'const/arith/<=' @ A @ sk3 )
      | ( ( 'const/arith/<=' @ sk2 @ ( sk4 @ sk3 @ sk2 @ sk1 ) )
       != ( 'const/arith/<=' @ sk2 @ A ) ) ),
    inference(simp,[status(thm)],[136]) ).

thf(138,plain,
    ~ ( 'const/arith/<=' @ ( sk4 @ sk3 @ sk2 @ sk1 ) @ sk3 ),
    inference(pattern_uni,[status(thm)],[137:[bind(A,$thf( sk4 @ sk3 @ sk2 @ sk1 ))]]) ).

thf(274,plain,
    $false,
    inference(rewrite,[status(thm)],[240,138]) ).

thf(275,plain,
    $false,
    inference(simp,[status(thm)],[274]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUN048^1 : 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
% 0.11/0.22  % Computer : n008.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 13:07:54 UTC 2026
% 0.11/0.22  % CPUTime  : 
% 0.11/0.22  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
% 0.89/0.79  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.25/1.01  % [INFO] 	 Parsing done (210ms). 
% 1.25/1.02  % [INFO] 	 Running in sequential loop mode. 
% 2.15/1.42  % [INFO] 	 eprover registered as external prover. 
% 2.15/1.42  % [INFO] 	 Scanning for conjecture ... 
% 2.33/1.52  % [INFO] 	 Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ... 
% 2.33/1.56  % [INFO] 	 Axiom selection finished. Selected 4 axioms (removed 0 axioms). 
% 2.33/1.58  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.33/1.59  % [INFO] 	 Type checking passed. 
% 2.33/1.59  % [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 ... 
% 7.27/3.13  % [INFO] 	 Killing All external provers ... 
% 7.27/3.13  % Time passed: 2776ms (effective reasoning time: 2102ms)
% 7.27/3.13  % 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)>
% 7.27/3.13  % Axioms used in derivation (3): thm/iterate/NSUM_EQ_0_NUMSEG_, thm/arith/LE_TRANS_, thm/arith/NOT_LT_
% 7.27/3.13  % No. of inferences in proof: 39
% 7.27/3.14  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2776 ms resp. 2102 ms w/o parsing
% 7.54/3.20  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.54/3.20  % [INFO] 	 Killing All external provers ... 
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