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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET063+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9BbmvjpzAY true

% Computer : n029.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 04:51:23 PM UTC 2025

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (   6 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   54 (   8   ~;   4   |;   1   &;  36   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(subclass_type,type,
    subclass: $i > $i > $o ).

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

thf(null_class_type,type,
    null_class: $i ).

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

thf(corollary_of_null_class_is_subclass,conjecture,
    ! [X: $i] :
      ( ( subclass @ X @ null_class )
     => ( X = null_class ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
        ( ( subclass @ X @ null_class )
       => ( X = null_class ) ),
    inference('cnf.neg',[status(esa)],[corollary_of_null_class_is_subclass]) ).

thf(zip_derived_cl89,plain,
    subclass @ sk__7 @ null_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(extensionality,axiom,
    ! [X: $i,Y: $i] :
      ( ( X = Y )
    <=> ( ( subclass @ X @ Y )
        & ( subclass @ Y @ X ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( subclass @ X0 @ X1 )
      | ~ ( subclass @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[extensionality]) ).

thf(zip_derived_cl426,plain,
    ( ~ ( subclass @ null_class @ sk__7 )
    | ( null_class = sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl6]) ).

thf(zip_derived_cl90,plain,
    sk__7 != null_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl428,plain,
    ~ ( subclass @ null_class @ sk__7 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl426,zip_derived_cl90]) ).

thf(subclass_defn,axiom,
    ! [X: $i,Y: $i] :
      ( ( subclass @ X @ Y )
    <=> ! [U: $i] :
          ( ( member @ U @ X )
         => ( member @ U @ Y ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( subclass @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subclass_defn]) ).

thf(null_class_defn,axiom,
    ! [X: $i] :
      ~ ( member @ X @ null_class ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ~ ( member @ X0 @ null_class ),
    inference(cnf,[status(esa)],[null_class_defn]) ).

thf(zip_derived_cl445,plain,
    ! [X0: $i] : ( subclass @ null_class @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl31]) ).

thf(zip_derived_cl461,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl445]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET063+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9BbmvjpzAY true
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 13:14:53 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74  % Solved by fo/fo3_bce.sh.
% 0.54/0.74  % BCE start: 91
% 0.54/0.74  % BCE eliminated: 0
% 0.54/0.74  % PE start: 91
% 0.54/0.74  logic: eq
% 0.54/0.74  % PE eliminated: 5
% 0.54/0.74  % done 28 iterations in 0.023s
% 0.54/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.74  % SZS output start Refutation
% See solution above
% 0.54/0.74  
% 0.54/0.74  
% 0.54/0.74  % Terminating...
% 0.61/0.84  % Runner terminated.
% 0.61/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------