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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS260+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RwF1ymPYev true

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:40:53 PM UTC 2025

% Result   : Theorem 102.23s 15.19s
% Output   : Refutation 102.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   39 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   80 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  271 (  29   ~;  27   |;   5   &; 201   @)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;   8 con; 0-3 aty)
%            Number of variables   :   77 (   0   ^;  67   !;  10   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__51_type,type,
    sk__51: $i ).

thf(thm_type,type,
    thm: $i ).

thf(sk__54_type,type,
    sk__54: $i ).

thf(sk__53_type,type,
    sk__53: $i ).

thf(status_type,type,
    status: $i > $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i > $i > $i ).

thf(wec_type,type,
    wec: $i ).

thf(unp_type,type,
    unp: $i ).

thf(sk__16_type,type,
    sk__16: $i > $i > $i ).

thf(model_type,type,
    model: $i > $i > $o ).

thf(mighta_type,type,
    mighta: $i > $i > $o ).

thf(nevera_type,type,
    nevera: $i > $i > $o ).

thf(sk__47_type,type,
    sk__47: $i > $i > $i ).

thf(sk__48_type,type,
    sk__48: $i > $i > $i ).

thf(sk__type,type,
    sk_: $i > $i ).

thf(sk__52_type,type,
    sk__52: $i ).

thf(satisfiable,axiom,
    ? [F: $i] :
      ( ? [I2: $i] :
          ~ ( model @ I2 @ F )
      & ? [I1: $i] : ( model @ I1 @ F ) ) ).

thf(zip_derived_cl95,plain,
    ~ ( model @ sk__53 @ sk__52 ),
    inference(cnf,[status(esa)],[satisfiable]) ).

thf(tautology,axiom,
    ? [F: $i] :
    ! [I: $i] : ( model @ I @ F ) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] : ( model @ X0 @ sk__51 ),
    inference(cnf,[status(esa)],[tautology]) ).

thf(zip_derived_cl94,plain,
    model @ sk__54 @ sk__52,
    inference(cnf,[status(esa)],[satisfiable]) ).

thf(unp,axiom,
    ! [Ax: $i,C: $i] :
      ( ( ~ ? [I1: $i] : ( model @ I1 @ Ax )
       => ~ ? [I2: $i] : ( model @ I2 @ C ) )
    <=> ( status @ Ax @ C @ unp ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( status @ X0 @ X1 @ unp )
      | ~ ( model @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[unp]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] : ( status @ sk__52 @ X0 @ unp ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model @ ( sk_ @ X0 ) @ X0 )
      | ~ ( model @ X1 @ X2 )
      | ~ ( status @ X0 @ X2 @ unp ) ),
    inference(cnf,[status(esa)],[unp]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( model @ X1 @ X0 )
      | ( model @ ( sk_ @ sk__52 ) @ sk__52 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl2]) ).

thf(zip_derived_cl169,plain,
    model @ ( sk_ @ sk__52 ) @ sk__52,
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl149]) ).

thf(zip_derived_cl93_001,plain,
    ! [X0: $i] : ( model @ X0 @ sk__51 ),
    inference(cnf,[status(esa)],[tautology]) ).

thf(wec,axiom,
    ! [Ax: $i,C: $i] :
      ( ( ? [I1: $i] : ( model @ I1 @ Ax )
        & ! [I2: $i] :
            ( ( model @ I2 @ Ax )
           => ( model @ I2 @ C ) )
        & ? [I3: $i] :
            ( ~ ( model @ I3 @ Ax )
            & ( model @ I3 @ C ) ) )
    <=> ( status @ Ax @ C @ wec ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( status @ X0 @ X1 @ wec )
      | ~ ( model @ X2 @ X1 )
      | ( model @ X2 @ X0 )
      | ~ ( model @ ( sk__16 @ X1 @ X0 ) @ X1 )
      | ~ ( model @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[wec]) ).

thf(zip_derived_cl1049,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( model @ X1 @ X0 )
      | ( model @ X2 @ X0 )
      | ~ ( model @ X2 @ sk__51 )
      | ( status @ X0 @ sk__51 @ wec ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl25]) ).

thf(zip_derived_cl93_002,plain,
    ! [X0: $i] : ( model @ X0 @ sk__51 ),
    inference(cnf,[status(esa)],[tautology]) ).

thf(zip_derived_cl1053,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( model @ X1 @ X0 )
      | ( model @ X2 @ X0 )
      | ( status @ X0 @ sk__51 @ wec ) ),
    inference(demod,[status(thm)],[zip_derived_cl1049,zip_derived_cl93]) ).

thf(nevera,axiom,
    ! [S1: $i,S2: $i] :
      ( ! [Ax: $i,C: $i] :
          ( ( status @ Ax @ C @ S1 )
         => ~ ( status @ Ax @ C @ S2 ) )
    <=> ( nevera @ S1 @ S2 ) ) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i] :
      ( ( nevera @ X0 @ X1 )
      | ( status @ ( sk__47 @ X1 @ X0 ) @ ( sk__48 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[nevera]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ( nevera @ X0 @ X1 )
      | ( status @ ( sk__47 @ X1 @ X0 ) @ ( sk__48 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[nevera]) ).

thf(mighta,axiom,
    ! [S1: $i,S2: $i] :
      ( ? [Ax: $i,C: $i] :
          ( ( status @ Ax @ C @ S2 )
          & ( status @ Ax @ C @ S1 ) )
    <=> ( mighta @ S1 @ S2 ) ) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( mighta @ X0 @ X1 )
      | ~ ( status @ X2 @ X3 @ X0 )
      | ~ ( status @ X2 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[mighta]) ).

thf(zip_derived_cl954,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( nevera @ X1 @ X0 )
      | ~ ( status @ ( sk__47 @ X0 @ X1 ) @ ( sk__48 @ X0 @ X1 ) @ X2 )
      | ( mighta @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl73]) ).

thf(zip_derived_cl78936,plain,
    ! [X0: $i,X1: $i] :
      ( ( nevera @ X0 @ X1 )
      | ( mighta @ X1 @ X0 )
      | ( nevera @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl954]) ).

thf(zip_derived_cl78938,plain,
    ! [X0: $i,X1: $i] :
      ( ( mighta @ X1 @ X0 )
      | ( nevera @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl78936]) ).

thf(mighta_wec_thm,conjecture,
    mighta @ wec @ thm ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( mighta @ wec @ thm ),
    inference('cnf.neg',[status(esa)],[mighta_wec_thm]) ).

thf(zip_derived_cl108,plain,
    ~ ( mighta @ wec @ thm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78941,plain,
    nevera @ thm @ wec,
    inference('sup-',[status(thm)],[zip_derived_cl78938,zip_derived_cl108]) ).

thf(zip_derived_cl93_003,plain,
    ! [X0: $i] : ( model @ X0 @ sk__51 ),
    inference(cnf,[status(esa)],[tautology]) ).

thf(thm,axiom,
    ! [Ax: $i,C: $i] :
      ( ! [I1: $i] :
          ( ( model @ I1 @ Ax )
         => ( model @ I1 @ C ) )
    <=> ( status @ Ax @ C @ thm ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( status @ X0 @ X1 @ thm )
      | ~ ( model @ ( sk__9 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[thm]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $i] : ( status @ X0 @ sk__51 @ thm ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl13]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( status @ X0 @ X1 @ X2 )
      | ~ ( status @ X0 @ X1 @ X3 )
      | ~ ( nevera @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[nevera]) ).

thf(zip_derived_cl441,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( nevera @ thm @ X1 )
      | ~ ( status @ X0 @ sk__51 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl84]) ).

thf(zip_derived_cl78947,plain,
    ! [X0: $i] :
      ~ ( status @ X0 @ sk__51 @ wec ),
    inference('sup-',[status(thm)],[zip_derived_cl78941,zip_derived_cl441]) ).

thf(zip_derived_cl95407,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model @ X2 @ X0 )
      | ~ ( model @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1053,zip_derived_cl78947]) ).

thf(zip_derived_cl95457,plain,
    ! [X0: $i] : ( model @ X0 @ sk__52 ),
    inference('sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl95407]) ).

thf(zip_derived_cl95730,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl95457]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : KRS260+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RwF1ymPYev true
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 11:53:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.55  % Total configuration time : 435
% 0.20/0.55  % Estimated wc time : 1092
% 0.20/0.55  % Estimated cpu time (7 cpus) : 156.0
% 1.02/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.02/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.02/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.02/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.02/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 102.23/15.19  % Solved by fo/fo5.sh.
% 102.23/15.19  % done 9578 iterations in 14.479s
% 102.23/15.19  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 102.23/15.19  % SZS output start Refutation
% See solution above
% 102.23/15.19  
% 102.23/15.19  
% 102.23/15.19  % Terminating...
% 102.78/15.30  % Runner terminated.
% 102.78/15.31  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------