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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : MGT086+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 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 : n010.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 08:00:53 AM UTC 2026

% Result   : Theorem 7.16s 4.11s
% Output   : Refutation 7.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   68 (  33 unt;   0 typ;   0 def)
%            Number of atoms       :  183 (  27 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  511 (  33   ~;  10   |;  66   &; 363   @)
%                                         (   8 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   6 con; 0-4 aty)
%            Number of variables   :  105 (   0   ^;  93   !;  12   ?; 105   :)

% Comments : 
%------------------------------------------------------------------------------
thf(leq_decl,type,
    leq: $i > $i > $o ).

thf(v800_decl,type,
    v800: $i ).

thf(in_lopen_decl,type,
    in_lopen: $i > $i > $i > $o ).

thf(v0_decl,type,
    v0: $i ).

thf(v200_decl,type,
    v200: $i ).

thf(v600_decl,type,
    v600: $i ).

thf(v400_decl,type,
    v400: $i ).

thf(axis_conflict_decl,type,
    axis_conflict: $i > $i > $i > $i > $o ).

thf(in_closed_decl,type,
    in_closed: $i > $i > $i > $o ).

thf(less_decl,type,
    less: $i > $i > $o ).

thf(axis_compatible_decl,type,
    axis_compatible: $i > $i > $i > $i > $o ).

thf(axis_subsumes_decl,type,
    axis_subsumes: $i > $i > $i > $i > $o ).

thf(in_open_decl,type,
    in_open: $i > $i > $i > $o ).

thf(val_decl,type,
    val: $i > $o ).

thf(in_ropen_decl,type,
    in_ropen: $i > $i > $i > $o ).

thf(8,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ less ) )
        & ( B @ ( A @ less ) ) )
     => ( C @ ( A @ less ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitive) ).

thf(69,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ less ) )
        & ( B @ ( A @ less ) ) )
     => ( C @ ( A @ less ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(22,axiom,
    v600 @ ( v0 @ less ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v600) ).

thf(106,plain,
    v600 @ ( v0 @ less ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(7,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( D @ ( C @ ( B @ ( A @ axis_subsumes ) ) ) )
    <=> ! [E: $i] :
          ( ( B @ ( A @ ( E @ in_closed ) ) )
         => ( D @ ( C @ ( E @ in_closed ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_subsumes_def) ).

thf(61,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ! [E: $i] :
            ( ( B @ ( A @ ( E @ in_closed ) ) )
           => ( D @ ( C @ ( E @ in_closed ) ) ) )
       => ( D @ ( C @ ( B @ ( A @ axis_subsumes ) ) ) ) )
      & ( ( D @ ( C @ ( B @ ( A @ axis_subsumes ) ) ) )
       => ! [E: $i] :
            ( ( B @ ( A @ ( E @ in_closed ) ) )
           => ( D @ ( C @ ( E @ in_closed ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(34,axiom,
    v0 @ val,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v0) ).

thf(156,plain,
    v0 @ val,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(29,axiom,
    v600 @ ( v200 @ less ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v600) ).

thf(129,plain,
    v600 @ ( v200 @ less ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(21,axiom,
    v600 @ val,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v600) ).

thf(105,plain,
    v600 @ val,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(13,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ less ) )
     => ( B @ ( A @ leq ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_implies_leq) ).

thf(81,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ less ) )
     => ( B @ ( A @ leq ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(27,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ leq ) )
    <=> ( ( A = B )
        | ( B @ ( A @ less ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_def) ).

thf(112,plain,
    ! [A: $i,B: $i] :
      ( ( ( ( A = B )
          | ( B @ ( A @ less ) ) )
       => ( B @ ( A @ leq ) ) )
      & ( ( B @ ( A @ leq ) )
       => ( ( A = B )
          | ( B @ ( A @ less ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(4,axiom,
    ! [A: $i] :
      ~ ( A @ ( A @ less ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive) ).

thf(48,plain,
    ! [A: $i] :
      ~ ( A @ ( A @ less ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(32,axiom,
    v200 @ ( v0 @ less ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v200) ).

thf(154,plain,
    v200 @ ( v0 @ less ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(20,axiom,
    v400 @ val,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v400) ).

thf(104,plain,
    v400 @ val,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(3,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( D @ ( C @ ( B @ ( A @ axis_conflict ) ) ) )
    <=> ~ ? [E: $i] :
            ( ( D @ ( C @ ( E @ in_closed ) ) )
            & ( B @ ( A @ ( E @ in_closed ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_conflict_def) ).

thf(40,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ~ ? [E: $i] :
              ( ( D @ ( C @ ( E @ in_closed ) ) )
              & ( B @ ( A @ ( E @ in_closed ) ) ) )
       => ( D @ ( C @ ( B @ ( A @ axis_conflict ) ) ) ) )
      & ( ( D @ ( C @ ( B @ ( A @ axis_conflict ) ) ) )
       => ~ ? [E: $i] :
              ( ( D @ ( C @ ( E @ in_closed ) ) )
              & ( B @ ( A @ ( E @ in_closed ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ ( B @ less ) )
      | ( A = B )
      | ( B @ ( A @ less ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trichotomy) ).

thf(51,plain,
    ! [A: $i,B: $i] :
      ( ( A @ ( B @ less ) )
      | ( A = B )
      | ( B @ ( A @ less ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(31,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ leq ) )
        & ( B @ ( A @ leq ) ) )
     => ( C @ ( A @ leq ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_trans) ).

thf(152,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ leq ) )
        & ( B @ ( A @ leq ) ) )
     => ( C @ ( A @ leq ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(10,axiom,
    v200 @ val,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v200) ).

thf(78,plain,
    v200 @ val,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(25,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ leq ) )
        & ( B @ ( A @ less ) ) )
     => ( C @ ( A @ less ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_leq_trans) ).

thf(109,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ leq ) )
        & ( B @ ( A @ less ) ) )
     => ( C @ ( A @ less ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(18,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ in_closed ) ) )
    <=> ( ( C @ ( A @ leq ) )
        & ( A @ ( B @ leq ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_closed) ).

thf(96,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( ( C @ ( A @ leq ) )
          & ( A @ ( B @ leq ) ) )
       => ( C @ ( B @ ( A @ in_closed ) ) ) )
      & ( ( C @ ( B @ ( A @ in_closed ) ) )
       => ( ( C @ ( A @ leq ) )
          & ( A @ ( B @ leq ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(9,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ in_open ) ) )
    <=> ( ( C @ ( A @ less ) )
        & ( A @ ( B @ less ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_open) ).

thf(71,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( ( C @ ( A @ less ) )
          & ( A @ ( B @ less ) ) )
       => ( C @ ( B @ ( A @ in_open ) ) ) )
      & ( ( C @ ( B @ ( A @ in_open ) ) )
       => ( ( C @ ( A @ less ) )
          & ( A @ ( B @ less ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(6,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( D @ ( C @ ( B @ ( A @ axis_compatible ) ) ) )
    <=> ? [E: $i] :
          ( ( D @ ( C @ ( E @ in_closed ) ) )
          & ( B @ ( A @ ( E @ in_closed ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axis_compatible_def) ).

thf(54,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ? [E: $i] :
            ( ( D @ ( C @ ( E @ in_closed ) ) )
            & ( B @ ( A @ ( E @ in_closed ) ) ) )
       => ( D @ ( C @ ( B @ ( A @ axis_compatible ) ) ) ) )
      & ( ( D @ ( C @ ( B @ ( A @ axis_compatible ) ) ) )
       => ? [E: $i] :
            ( ( D @ ( C @ ( E @ in_closed ) ) )
            & ( B @ ( A @ ( E @ in_closed ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(19,axiom,
    v600 @ ( v400 @ less ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v600) ).

thf(103,plain,
    v600 @ ( v400 @ less ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ ( B @ leq ) )
        & ( B @ ( A @ leq ) ) )
     => ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_antisym) ).

thf(91,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ ( B @ leq ) )
        & ( B @ ( A @ leq ) ) )
     => ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(33,axiom,
    v400 @ ( v0 @ less ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v400) ).

thf(155,plain,
    v400 @ ( v0 @ less ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(24,axiom,
    v800 @ ( v600 @ less ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v800) ).

thf(108,plain,
    v800 @ ( v600 @ less ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(30,axiom,
    ( ( v600 != v800 )
    & ( v400 != v800 )
    & ( v400 != v600 )
    & ( v200 != v800 )
    & ( v200 != v600 )
    & ( v200 != v400 )
    & ( v0 != v800 )
    & ( v0 != v600 )
    & ( v0 != v400 )
    & ( v0 != v200 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).

thf(130,plain,
    ( ( v600 != v800 )
    & ( v400 != v800 )
    & ( v400 != v600 )
    & ( v200 != v800 )
    & ( v200 != v600 )
    & ( v200 != v400 )
    & ( v0 != v800 )
    & ( v0 != v600 )
    & ( v0 != v400 )
    & ( v0 != v200 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(12,axiom,
    v400 @ ( v200 @ less ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v400) ).

thf(80,plain,
    v400 @ ( v200 @ less ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(1,conjecture,
    ? [A: $i,B: $i] :
      ( ( ( ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
          & ~ ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) )
        | ( ~ ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
          & ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) ) )
      & ( v200 @ ( v0 @ ( B @ in_lopen ) ) )
      & ( A @ ( v800 @ leq ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl462) ).

thf(2,negated_conjecture,
    ~ ? [A: $i,B: $i] :
        ( ( ( ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
            & ~ ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) )
          | ( ~ ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
            & ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) ) )
        & ( v200 @ ( v0 @ ( B @ in_lopen ) ) )
        & ( A @ ( v800 @ leq ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(35,plain,
    ~ ? [A: $i,B: $i] :
        ( ( ( ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
            & ~ ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) )
          | ( ~ ( v400 @ ( v0 @ ( B @ in_lopen ) ) )
            & ( v600 @ ( v0 @ ( A @ in_lopen ) ) ) ) )
        & ( v200 @ ( v0 @ ( B @ in_lopen ) ) )
        & ( A @ ( v800 @ leq ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(23,axiom,
    v800 @ val,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',val_v800) ).

thf(107,plain,
    v800 @ val,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(11,axiom,
    v800 @ ( v200 @ less ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v800) ).

thf(79,plain,
    v800 @ ( v200 @ less ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(17,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ less ) )
        & ( B @ ( A @ leq ) ) )
     => ( C @ ( A @ less ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_less_trans) ).

thf(94,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ less ) )
        & ( B @ ( A @ leq ) ) )
     => ( C @ ( A @ less ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(28,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ in_ropen ) ) )
    <=> ( ( C @ ( A @ less ) )
        & ( A @ ( B @ leq ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_ropen) ).

thf(122,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( ( C @ ( A @ less ) )
          & ( A @ ( B @ leq ) ) )
       => ( C @ ( B @ ( A @ in_ropen ) ) ) )
      & ( ( C @ ( B @ ( A @ in_ropen ) ) )
       => ( ( C @ ( A @ less ) )
          & ( A @ ( B @ leq ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(14,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ in_lopen ) ) )
    <=> ( ( C @ ( A @ leq ) )
        & ( A @ ( B @ less ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_lopen) ).

thf(83,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( ( C @ ( A @ leq ) )
          & ( A @ ( B @ less ) ) )
       => ( C @ ( B @ ( A @ in_lopen ) ) ) )
      & ( ( C @ ( B @ ( A @ in_lopen ) ) )
       => ( ( C @ ( A @ leq ) )
          & ( A @ ( B @ less ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(15,axiom,
    v800 @ ( v0 @ less ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v800) ).

thf(90,plain,
    v800 @ ( v0 @ less ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(26,axiom,
    v800 @ ( v400 @ less ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v400_v800) ).

thf(111,plain,
    v800 @ ( v400 @ less ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(169,plain,
    $false,
    inference(e,[status(thm)],[69,106,61,156,129,105,81,112,48,154,104,40,51,152,78,109,96,71,54,103,91,155,108,130,80,35,107,79,94,122,83,90,111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : MGT086+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.12  % 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
% 0.25/0.50  % Computer : n010.cluster.edu
% 0.25/0.50  % Model    : x86_64 x86_64
% 0.25/0.50  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.50  % Memory   : 8046.5625MB
% 0.25/0.50  % OS       : Linux 6.8.0-71-generic
% 0.25/0.51  % CPULimit : 300
% 0.27/0.51  % WCLimit  : 300
% 0.27/0.51  % DateTime : Sat Sep 26 00:12:59 UTC 2026
% 0.27/0.51  % CPUTime  : 
% 0.27/0.51  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
% 1.39/1.34  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.89/1.67  % [INFO] 	 Parsing done (327ms). 
% 1.89/1.69  % [INFO] 	 Running in sequential loop mode. 
% 2.88/2.28  % [INFO] 	 eprover registered as external prover. 
% 2.88/2.30  % [INFO] 	 Scanning for conjecture ... 
% 3.24/2.45  % [INFO] 	 Found a conjecture (or negated_conjecture) and 43 axioms. Running axiom selection ... 
% 3.41/2.57  % [INFO] 	 Axiom selection finished. Selected 32 axioms (removed 11 axioms). 
% 3.62/2.63  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 3.62/2.64  % [INFO] 	 Type checking passed. 
% 3.62/2.65  % [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 ... 
% 7.16/4.11  % External prover 'e' found a proof!
% 7.16/4.11  % [INFO] 	 Killing All external provers ... 
% 7.16/4.11  % Time passed: 3392ms (effective reasoning time: 2405ms)
% 7.16/4.11  % 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)>
% 7.16/4.11  % Axioms used in derivation (32): ord_v200_v600, leq_antisym, ord_v400_v800, val_v600, ord_v600_v800, val_v0, ord_v200_v400, axis_conflict_def, irreflexive, ord_v0_v200, ord_v0_v800, ord_v0_v400, axis_subsumes_def, less_implies_leq, in_ropen, leq_trans, leq_less_trans, val_v400, in_closed, in_lopen, distinct, ord_v200_v800, less_leq_trans, axis_compatible_def, val_v200, trichotomy, ord_v400_v600, transitive, in_open, ord_v0_v600, val_v800, leq_def
% 7.16/4.11  % No. of inferences in proof: 68
% 7.16/4.11  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3392 ms resp. 2405 ms w/o parsing
% 7.53/4.22  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.53/4.22  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------