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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU130+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.iZQYW5kfsw true

% Computer : n021.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 04:53:31 PM UTC 2025

% Result   : Theorem 0.48s 0.83s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   33 (  10 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   94 (  13   ~;   9   |;   2   &;  66   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

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

thf(sk__6_type,type,
    sk__6: $i ).

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

thf(t19_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subset @ A @ B )
        & ( subset @ A @ C ) )
     => ( subset @ A @ ( set_intersection2 @ B @ C ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X0 @ X2 )
      | ( subset @ X0 @ ( set_intersection2 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t19_xboole_1]) ).

thf(t17_xboole_1,axiom,
    ! [A: $i,B: $i] : ( subset @ ( set_intersection2 @ A @ B ) @ A ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] : ( subset @ ( set_intersection2 @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[t17_xboole_1]) ).

thf(d10_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
    <=> ( ( subset @ A @ B )
        & ( subset @ B @ A ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[d10_xboole_0]) ).

thf(zip_derived_cl324,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( set_intersection2 @ X0 @ X1 ) )
      | ~ ( subset @ X0 @ ( set_intersection2 @ X0 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl5]) ).

thf(zip_derived_cl520,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subset @ X1 @ X0 )
      | ~ ( subset @ X1 @ X1 )
      | ( X1
        = ( set_intersection2 @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl324]) ).

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(zip_derived_cl527,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subset @ X1 @ X0 )
      | ( X1
        = ( set_intersection2 @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl520,zip_derived_cl35]) ).

thf(t28_xboole_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
     => ( ( set_intersection2 @ A @ B )
        = A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ A @ B )
       => ( ( set_intersection2 @ A @ B )
          = A ) ),
    inference('cnf.neg',[status(esa)],[t28_xboole_1]) ).

thf(zip_derived_cl44,plain,
    ( ( set_intersection2 @ sk__6 @ sk__7 )
   != sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl540,plain,
    ( ~ ( subset @ sk__6 @ sk__7 )
    | ( sk__6 != sk__6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl44]) ).

thf(zip_derived_cl43,plain,
    subset @ sk__6 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl542,plain,
    sk__6 != sk__6,
    inference(demod,[status(thm)],[zip_derived_cl540,zip_derived_cl43]) ).

thf(zip_derived_cl543,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl542]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU130+2 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iZQYW5kfsw true
% 0.10/0.32  % Computer : n021.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Wed Oct  1 16:12:08 EDT 2025
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.33  % Number of cores: 8
% 0.10/0.33  % Python version: Python 3.6.8
% 0.10/0.33  % Running in FO mode
% 0.45/0.61  % Total configuration time : 435
% 0.45/0.61  % Estimated wc time : 1092
% 0.45/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.69  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.83  % Solved by fo/fo6_bce.sh.
% 0.48/0.83  % BCE start: 58
% 0.48/0.83  % BCE eliminated: 0
% 0.48/0.83  % PE start: 58
% 0.48/0.83  logic: eq
% 0.48/0.83  % PE eliminated: 0
% 0.48/0.83  % done 105 iterations in 0.097s
% 0.48/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.83  % SZS output start Refutation
% See solution above
% 0.48/0.83  
% 0.48/0.83  
% 0.48/0.83  % Terminating...
% 1.48/0.99  % Runner terminated.
% 1.48/1.02  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------