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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : PLA054^4 : TPTP v9.3.1. Released v8.1.0.
% 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 : n020.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 08:20:25 AM UTC 2026

% Result   : Theorem 18.54s 4.69s
% Output   : Refutation 19.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   61 (  21 unt;   0 typ;  10 def)
%            Number of atoms       :  283 (  21 equ;   0 cnn)
%            Maximal formula atoms :   25 (   4 avg)
%            Number of connectives :  732 (  98   ~;  82   |;  23   &; 494   @)
%                                         (   0 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  18 usr;   7 con; 0-3 aty)
%            Number of variables   :  148 (  26   ^; 113   !;   6   ?; 148   :)
%                                         (   0  !>;   0  ?*;   0  @-;   3  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(mworld_type,type,
    mworld: $tType ).

thf(mrel_decl,type,
    mrel: mworld > mworld > $o ).

thf(mactual_decl,type,
    mactual: mworld ).

thf(mlocal_decl,type,
    mlocal: ( mworld > $o ) > $o ).

thf(mnot_decl,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(mand_decl,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(mimplies_decl,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(mbox_decl,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(mforall_di_decl,type,
    mforall_di: ( $i > mworld > $o ) > mworld > $o ).

thf(mexists_di_decl,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(d_decl,type,
    d: $i ).

thf(o_decl,type,
    o: $i ).

thf(h_decl,type,
    h: $i > mworld > $o ).

thf(closed_decl,type,
    closed: $i > mworld > $o ).

thf(combo_decl,type,
    combo: $i > $i > mworld > $o ).

thf(open_decl,type,
    open: $i > mworld > $o ).

thf(sk1_decl,type,
    sk1: mworld ).

thf(sk2_decl,type,
    sk2: mworld ).

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

thf(mlocal_def,definition,
    ( mlocal
    = ( ^ [A: mworld > $o] : ( A @ mactual ) ) ) ).

thf(mnot_def,definition,
    ( mnot
    = ( ^ [A: mworld > $o,B: mworld] :
          ~ ( A @ B ) ) ) ).

thf(mand_def,definition,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
          ( ( A @ C )
          & ( B @ C ) ) ) ) ).

thf(mimplies_def,definition,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
          ( ( A @ C )
         => ( B @ C ) ) ) ) ).

thf(mbox_def,definition,
    ( mbox
    = ( ^ [A: mworld > $o,B: mworld] :
        ! [C: mworld] :
          ( ( mrel @ B @ C )
         => ( A @ C ) ) ) ) ).

thf(mforall_di_def,definition,
    ( mforall_di
    = ( ^ [A: $i > mworld > $o,B: mworld] :
        ! [C: $i] : ( A @ C @ B ) ) ) ).

thf(mexists_di_def,definition,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,B: mworld] :
        ? [C: $i] : ( A @ C @ B ) ) ) ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: mworld] :
          ~ ( ( mrel @ mactual @ A )
           => ( ! [B: $i,C: $i,D: mworld] :
                  ( ( mrel @ A @ D )
                 => ( ( combo @ d @ B @ D )
                    & ( h @ C @ D ) ) )
             => ! [B: mworld] :
                  ( ( mrel @ A @ B )
                 => ( open @ d @ B ) ) ) ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: mworld] :
          ~ ( ( mrel @ sk1 @ A )
           => ( open @ d @ A ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( ^ [A: $i,B: $i,C: mworld] :
        @+[D: $i] :
        ! [E: mworld] :
          ( ( mrel @ C @ E )
         => ( ( ( closed @ B @ E )
              & ( combo @ B @ A @ E )
              & ( h @ D @ E ) )
           => ! [F: mworld] :
                ( ( mrel @ E @ F )
               => ( open @ B @ F ) ) ) ) ) ) ).

thf(3,axiom,
    ! [A: mworld] : ( mrel @ A @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).

thf(20,plain,
    ! [A: mworld] : ( mrel @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(21,plain,
    ! [A: mworld] : ( mrel @ A @ A ),
    inference(cnf,[status(esa)],[20]) ).

thf(1,conjecture,
    ( mlocal
    @ ( mbox
      @ ( mexists_di
        @ ^ [A: $i] :
            ( mexists_di
            @ ^ [B: $i] : ( mimplies @ ( mbox @ ( mand @ ( combo @ d @ A ) @ ( h @ B ) ) ) @ ( mbox @ ( open @ d ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(2,negated_conjecture,
    ~ ( mlocal
      @ ( mbox
        @ ( mexists_di
          @ ^ [A: $i] :
              ( mexists_di
              @ ^ [B: $i] : ( mimplies @ ( mbox @ ( mand @ ( combo @ d @ A ) @ ( h @ B ) ) ) @ ( mbox @ ( open @ d ) ) ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(10,plain,
    ~ ! [A: mworld] :
        ( ( mrel @ mactual @ A )
       => ? [B: $i,C: $i] :
            ( ! [D: mworld] :
                ( ( mrel @ A @ D )
               => ( ( combo @ d @ B @ D )
                  & ( h @ C @ D ) ) )
           => ! [D: mworld] :
                ( ( mrel @ A @ D )
               => ( open @ d @ D ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(11,plain,
    ~ ! [A: mworld] :
        ( ( mrel @ mactual @ A )
       => ( ! [B: $i,C: $i,D: mworld] :
              ( ( mrel @ A @ D )
             => ( ( combo @ d @ B @ D )
                & ( h @ C @ D ) ) )
         => ! [B: mworld] :
              ( ( mrel @ A @ B )
             => ( open @ d @ B ) ) ) ),
    inference(miniscope,[status(thm)],[10]) ).

thf(12,plain,
    ! [C: mworld,B: $i,A: $i] :
      ( ( mrel @ mactual @ sk1 )
      & ( ~ ( mrel @ sk1 @ C )
        | ( combo @ d @ A @ C ) )
      & ( ~ ( mrel @ sk1 @ C )
        | ( h @ B @ C ) )
      & ( mrel @ sk1 @ sk2 )
      & ~ ( open @ d @ sk2 ) ),
    inference(cnf,[status(esa)],[11]) ).

thf(16,plain,
    ! [B: mworld,A: $i] :
      ( ~ ( mrel @ sk1 @ B )
      | ( combo @ d @ A @ B ) ),
    inference(cnfConj,[status(thm)],[12]) ).

thf(19,plain,
    ! [B: mworld,A: $i] :
      ( ~ ( mrel @ sk1 @ B )
      | ( combo @ d @ A @ B ) ),
    inference(simp,[status(thm)],[16]) ).

thf(105,plain,
    ! [C: mworld,B: $i,A: mworld] :
      ( ~ $true
      | ( combo @ d @ B @ C )
      | ( ( mrel @ A @ A )
       != ( mrel @ sk1 @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[21,19]) ).

thf(106,plain,
    ! [C: mworld,B: $i,A: mworld] :
      ( ( combo @ d @ B @ C )
      | ( ( mrel @ A @ A )
       != ( mrel @ sk1 @ C ) ) ),
    inference(simp,[status(thm)],[105]) ).

thf(107,plain,
    ! [A: $i] : ( combo @ d @ A @ sk1 ),
    inference(pattern_uni,[status(thm)],[106:[bind(A,$thf( sk1 )),bind(B,$thf( B )),bind(C,$thf( sk1 ))]]) ).

thf(115,plain,
    ! [A: $i] : ( combo @ d @ A @ sk1 ),
    inference(simp,[status(thm)],[107]) ).

thf(5,axiom,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mexists_di
                @ ^ [C: $i] : ( mand @ ( mbox @ ( mimplies @ ( mand @ ( closed @ A ) @ ( mand @ ( combo @ A @ B ) @ ( h @ C ) ) ) @ ( mbox @ ( open @ A ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( closed @ A ) @ ( mand @ ( mnot @ ( combo @ A @ B ) ) @ ( h @ o ) ) ) @ ( mbox @ ( closed @ A ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

thf(24,plain,
    ! [A: mworld] :
      ( ( mrel @ mactual @ A )
     => ! [B: $i,C: $i] :
        ? [D: $i] :
          ( ! [E: mworld] :
              ( ( mrel @ A @ E )
             => ( ( ( closed @ B @ E )
                  & ( combo @ B @ C @ E )
                  & ( h @ D @ E ) )
               => ! [F: mworld] :
                    ( ( mrel @ E @ F )
                   => ( open @ B @ F ) ) ) )
          & ! [E: mworld] :
              ( ( mrel @ A @ E )
             => ( ( ( closed @ B @ E )
                  & ~ ( combo @ B @ C @ E )
                  & ( h @ o @ E ) )
               => ! [F: mworld] :
                    ( ( mrel @ E @ F )
                   => ( closed @ B @ F ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(25,plain,
    ! [A: mworld] :
      ( ( mrel @ mactual @ A )
     => ( ! [B: $i,C: $i] :
          ? [D: $i] :
          ! [E: mworld] :
            ( ( mrel @ A @ E )
           => ( ( ( closed @ B @ E )
                & ( combo @ B @ C @ E )
                & ( h @ D @ E ) )
             => ! [F: mworld] :
                  ( ( mrel @ E @ F )
                 => ( open @ B @ F ) ) ) )
        & ! [B: $i,C: $i,D: mworld] :
            ( ( mrel @ A @ D )
           => ( ( ( closed @ B @ D )
                & ~ ( combo @ B @ C @ D )
                & ( h @ o @ D ) )
             => ! [E: mworld] :
                  ( ( mrel @ D @ E )
                 => ( closed @ B @ E ) ) ) ) ) ),
    inference(miniscope,[status(thm)],[24]) ).

thf(26,plain,
    ! [I: mworld,H: mworld,G: $i,F: $i,E: mworld,D: mworld,C: $i,B: $i,A: mworld] :
      ( ( ~ ( mrel @ mactual @ A )
        | ~ ( mrel @ A @ D )
        | ~ ( closed @ B @ D )
        | ~ ( combo @ B @ C @ D )
        | ~ ( h @ ( sk3 @ C @ B @ A ) @ D )
        | ~ ( mrel @ D @ E )
        | ( open @ B @ E ) )
      & ( ~ ( mrel @ mactual @ A )
        | ~ ( mrel @ A @ H )
        | ~ ( closed @ F @ H )
        | ( combo @ F @ G @ H )
        | ~ ( h @ o @ H )
        | ~ ( mrel @ H @ I )
        | ( closed @ F @ I ) ) ),
    inference(cnf,[status(esa)],[25]) ).

thf(27,plain,
    ! [E: mworld,D: mworld,C: $i,B: $i,A: mworld] :
      ( ~ ( mrel @ mactual @ A )
      | ~ ( mrel @ A @ D )
      | ~ ( closed @ B @ D )
      | ~ ( combo @ B @ C @ D )
      | ~ ( h @ ( sk3 @ C @ B @ A ) @ D )
      | ~ ( mrel @ D @ E )
      | ( open @ B @ E ) ),
    inference(cnfConj,[status(thm)],[26]) ).

thf(266,plain,
    ! [F: mworld,E: mworld,D: $i,C: $i,B: mworld,A: $i] :
      ( ~ ( mrel @ mactual @ B )
      | ~ ( mrel @ B @ E )
      | ~ ( closed @ C @ E )
      | ~ $true
      | ~ ( h @ ( sk3 @ D @ C @ B ) @ E )
      | ~ ( mrel @ E @ F )
      | ( open @ C @ F )
      | ( ( combo @ d @ A @ sk1 )
       != ( combo @ C @ D @ E ) ) ),
    inference(paramod_ordered,[status(thm)],[115,27]) ).

thf(267,plain,
    ! [F: mworld,E: mworld,D: $i,C: $i,B: mworld,A: $i] :
      ( ~ ( mrel @ mactual @ B )
      | ~ ( mrel @ B @ E )
      | ~ ( closed @ C @ E )
      | ~ ( h @ ( sk3 @ D @ C @ B ) @ E )
      | ~ ( mrel @ E @ F )
      | ( open @ C @ F )
      | ( ( combo @ d @ A @ sk1 )
       != ( combo @ C @ D @ E ) ) ),
    inference(simp,[status(thm)],[266]) ).

thf(268,plain,
    ! [C: mworld,B: mworld,A: $i] :
      ( ~ ( mrel @ mactual @ B )
      | ~ ( mrel @ B @ sk1 )
      | ~ ( closed @ d @ sk1 )
      | ~ ( h @ ( sk3 @ A @ d @ B ) @ sk1 )
      | ~ ( mrel @ sk1 @ C )
      | ( open @ d @ C ) ),
    inference(pattern_uni,[status(thm)],[267:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( d )),bind(D,$thf( A )),bind(E,$thf( sk1 ))]]) ).

thf(367,plain,
    ! [C: mworld,B: mworld,A: $i] :
      ( ~ ( mrel @ mactual @ B )
      | ~ ( mrel @ B @ sk1 )
      | ~ ( closed @ d @ sk1 )
      | ~ ( h @ ( sk3 @ A @ d @ B ) @ sk1 )
      | ~ ( mrel @ sk1 @ C )
      | ( open @ d @ C ) ),
    inference(simp,[status(thm)],[268]) ).

thf(17,plain,
    mrel @ mactual @ sk1,
    inference(cnfConj,[status(thm)],[12]) ).

thf(6,axiom,
    mlocal @ ( mbox @ ( closed @ d ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

thf(30,plain,
    ! [A: mworld] :
      ( ( mrel @ mactual @ A )
     => ( closed @ d @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(31,plain,
    ! [A: mworld] :
      ( ~ ( mrel @ mactual @ A )
      | ( closed @ d @ A ) ),
    inference(cnf,[status(esa)],[30]) ).

thf(53,plain,
    ! [A: mworld] :
      ( ~ $true
      | ( closed @ d @ A )
      | ( ( mrel @ mactual @ sk1 )
       != ( mrel @ mactual @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[17,31]) ).

thf(54,plain,
    ! [A: mworld] :
      ( ( closed @ d @ A )
      | ( ( mrel @ mactual @ sk1 )
       != ( mrel @ mactual @ A ) ) ),
    inference(simp,[status(thm)],[53]) ).

thf(55,plain,
    closed @ d @ sk1,
    inference(pattern_uni,[status(thm)],[54:[bind(A,$thf( sk1 ))]]) ).

thf(13,plain,
    ! [B: mworld,A: $i] :
      ( ~ ( mrel @ sk1 @ B )
      | ( h @ A @ B ) ),
    inference(cnfConj,[status(thm)],[12]) ).

thf(18,plain,
    ! [B: mworld,A: $i] :
      ( ~ ( mrel @ sk1 @ B )
      | ( h @ A @ B ) ),
    inference(simp,[status(thm)],[13]) ).

thf(81,plain,
    ! [C: mworld,B: $i,A: mworld] :
      ( ~ $true
      | ( h @ B @ C )
      | ( ( mrel @ A @ A )
       != ( mrel @ sk1 @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[21,18]) ).

thf(82,plain,
    ! [C: mworld,B: $i,A: mworld] :
      ( ( h @ B @ C )
      | ( ( mrel @ A @ A )
       != ( mrel @ sk1 @ C ) ) ),
    inference(simp,[status(thm)],[81]) ).

thf(83,plain,
    ! [A: $i] : ( h @ A @ sk1 ),
    inference(pattern_uni,[status(thm)],[82:[bind(A,$thf( sk1 )),bind(B,$thf( B )),bind(C,$thf( sk1 ))]]) ).

thf(90,plain,
    ! [A: $i] : ( h @ A @ sk1 ),
    inference(simp,[status(thm)],[83]) ).

thf(5680,plain,
    ! [B: mworld,A: mworld] :
      ( ~ ( mrel @ mactual @ A )
      | ~ ( mrel @ A @ sk1 )
      | ~ $true
      | ~ $true
      | ~ ( mrel @ sk1 @ B )
      | ( open @ d @ B ) ),
    inference(rewrite,[status(thm)],[367,55,90]) ).

thf(5681,plain,
    ! [B: mworld,A: mworld] :
      ( ~ ( mrel @ mactual @ A )
      | ~ ( mrel @ A @ sk1 )
      | ~ ( mrel @ sk1 @ B )
      | ( open @ d @ B ) ),
    inference(simp,[status(thm)],[5680]) ).

thf(5828,plain,
    ! [B: mworld,A: mworld] :
      ( ~ ( mrel @ mactual @ A )
      | ~ ( mrel @ sk1 @ B )
      | ( open @ d @ B )
      | ( ( mrel @ A @ sk1 )
       != ( mrel @ sk1 @ B ) )
      | ~ $true ),
    inference(eqfactor_ordered,[status(thm)],[5681]) ).

thf(5839,plain,
    ( ~ ( mrel @ mactual @ sk1 )
    | ~ ( mrel @ sk1 @ sk1 )
    | ( open @ d @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[5828:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).

thf(8,axiom,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [A: $i] : ( mnot @ ( mand @ ( open @ A ) @ ( closed @ A ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

thf(33,plain,
    ! [A: mworld] :
      ( ( mrel @ mactual @ A )
     => ! [B: $i] :
          ~ ( ( open @ B @ A )
            & ( closed @ B @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(34,plain,
    ! [A: mworld] :
      ( ( mrel @ mactual @ A )
     => ~ ? [B: $i] :
            ( ( open @ B @ A )
            & ( closed @ B @ A ) ) ),
    inference(miniscope,[status(thm)],[33]) ).

thf(35,plain,
    ! [B: $i,A: mworld] :
      ( ~ ( mrel @ mactual @ A )
      | ~ ( open @ B @ A )
      | ~ ( closed @ B @ A ) ),
    inference(cnf,[status(esa)],[34]) ).

thf(67,plain,
    ! [B: $i,A: mworld] :
      ( ~ ( mrel @ mactual @ A )
      | ~ ( open @ B @ A )
      | ~ $true
      | ( ( closed @ d @ sk1 )
       != ( closed @ B @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[55,35]) ).

thf(68,plain,
    ! [B: $i,A: mworld] :
      ( ~ ( mrel @ mactual @ A )
      | ~ ( open @ B @ A )
      | ( ( closed @ d @ sk1 )
       != ( closed @ B @ A ) ) ),
    inference(simp,[status(thm)],[67]) ).

thf(69,plain,
    ( ~ ( mrel @ mactual @ sk1 )
    | ~ ( open @ d @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[68:[bind(A,$thf( sk1 )),bind(B,$thf( d ))]]) ).

thf(102,plain,
    ( ~ $true
    | ~ ( open @ d @ sk1 ) ),
    inference(rewrite,[status(thm)],[69,17]) ).

thf(103,plain,
    ~ ( open @ d @ sk1 ),
    inference(simp,[status(thm)],[102]) ).

thf(5896,plain,
    ( ~ $true
    | ~ $true
    | $false ),
    inference(rewrite,[status(thm)],[5839,17,21,103]) ).

thf(5897,plain,
    $false,
    inference(simp,[status(thm)],[5896]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PLA054^4 : TPTP v9.3.1. Released v8.1.0.
% 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
% 0.09/0.22  % Computer : n020.cluster.edu
% 0.09/0.22  % Model    : x86_64 x86_64
% 0.09/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22  % Memory   : 8046.5625MB
% 0.09/0.22  % OS       : Linux 6.8.0-71-generic
% 0.09/0.22  % CPULimit : 300
% 0.09/0.22  % WCLimit  : 300
% 0.09/0.22  % DateTime : Tue Sep 29 13:21:49 UTC 2026
% 0.09/0.22  % CPUTime  : 
% 0.09/0.22  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
% 0.65/0.54  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.01/0.66  % [INFO] 	 Parsing done (123ms). 
% 1.01/0.67  % [INFO] 	 Running in sequential loop mode. 
% 1.70/0.92  % [INFO] 	 eprover registered as external prover. 
% 1.70/0.92  % [INFO] 	 Scanning for conjecture ... 
% 1.70/0.99  % [INFO] 	 Found a conjecture (or negated_conjecture) and 7 axioms. Running axiom selection ... 
% 1.70/1.01  % [INFO] 	 Axiom selection finished. Selected 7 axioms (removed 0 axioms). 
% 1.70/1.02  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.70/1.02  % [INFO] 	 Type checking passed. 
% 1.70/1.02  % [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 ... 
% 18.54/4.68  % [INFO] 	 Killing All external provers ... 
% 18.54/4.68  % Time passed: 4366ms (effective reasoning time: 4007ms)
% 18.54/4.68  % 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)>
% 18.54/4.69  % Axioms used in derivation (4): mrel_reflexive, ax1, ax2, ax4
% 18.54/4.69  % No. of inferences in proof: 51
% 18.54/4.69  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4366 ms resp. 4007 ms w/o parsing
% 19.00/4.73  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.00/4.73  % [INFO] 	 Killing All external provers ... 
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