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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU167+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.M2zmn6uS52 true

% Computer : n024.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 04:53:41 PM UTC 2025

% Result   : Theorem 1.27s 1.20s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  125 (  12   ~;   9   |;   4   &;  96   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  31   !;   0   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: $i ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(cartesian_product2_type,type,
    cartesian_product2: $i > $i > $i ).

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

thf(sk__7_type,type,
    sk__7: $i ).

thf(t118_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( subset @ A @ B )
     => ( ( subset @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ C ) )
        & ( subset @ ( cartesian_product2 @ C @ A ) @ ( cartesian_product2 @ C @ B ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ( subset @ ( cartesian_product2 @ X2 @ X0 ) @ ( cartesian_product2 @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[t118_zfmisc_1]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ( subset @ ( cartesian_product2 @ X0 @ X2 ) @ ( cartesian_product2 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t118_zfmisc_1]) ).

thf(t1_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subset @ A @ B )
        & ( subset @ B @ C ) )
     => ( subset @ A @ C ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X1 @ X2 )
      | ( subset @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t1_xboole_1]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( subset @ X2 @ X1 )
      | ( subset @ ( cartesian_product2 @ X2 @ X0 ) @ X3 )
      | ~ ( subset @ ( cartesian_product2 @ X1 @ X0 ) @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl23]) ).

thf(zip_derived_cl960,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( subset @ X2 @ X0 )
      | ( subset @ ( cartesian_product2 @ X3 @ X2 ) @ ( cartesian_product2 @ X1 @ X0 ) )
      | ~ ( subset @ X3 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl332]) ).

thf(t119_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( subset @ A @ B )
        & ( subset @ C @ D ) )
     => ( subset @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i] :
        ( ( ( subset @ A @ B )
          & ( subset @ C @ D ) )
       => ( subset @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ),
    inference('cnf.neg',[status(esa)],[t119_zfmisc_1]) ).

thf(zip_derived_cl24,plain,
    ~ ( subset @ ( cartesian_product2 @ sk__6 @ sk__8 ) @ ( cartesian_product2 @ sk__7 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1571,plain,
    ( ~ ( subset @ sk__6 @ sk__7 )
    | ~ ( subset @ sk__8 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl24]) ).

thf(zip_derived_cl26,plain,
    subset @ sk__6 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    subset @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1586,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1571,zip_derived_cl26,zip_derived_cl25]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU167+2 : TPTP v9.2.0. Released v3.3.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.M2zmn6uS52 true
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 16:12:38 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in FO mode
% 0.17/0.59  % Total configuration time : 435
% 0.17/0.59  % Estimated wc time : 1092
% 0.17/0.59  % Estimated cpu time (7 cpus) : 156.0
% 1.19/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.19/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.19/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.19/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.19/0.71  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.71  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.27/1.20  % Solved by fo/fo4.sh.
% 1.27/1.20  % done 344 iterations in 0.451s
% 1.27/1.20  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.27/1.20  % SZS output start Refutation
% See solution above
% 1.27/1.20  
% 1.27/1.20  
% 1.27/1.20  % Terminating...
% 5.17/1.33  % Runner terminated.
% 5.17/1.34  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------