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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET073+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.CdNH0ehhij true

% Computer : n031.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 04:51:27 PM UTC 2025

% Result   : Theorem 0.45s 0.72s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   22 (   9 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   56 (  12   ~;   6   |;   1   &;  34   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

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

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

thf(sk__1_type,type,
    sk__1: $i ).

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

thf(universal_class_type,type,
    universal_class: $i ).

thf(unordered_pair_type,type,
    unordered_pair: $i > $i > $i ).

thf(corollary1_1,conjecture,
    ! [X: $i,Y: $i] :
      ( ( member @ X @ universal_class )
     => ( ( unordered_pair @ X @ Y )
       != null_class ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i] :
        ( ( member @ X @ universal_class )
       => ( ( unordered_pair @ X @ Y )
         != null_class ) ),
    inference('cnf.neg',[status(esa)],[corollary1_1]) ).

thf(zip_derived_cl9,plain,
    member @ sk_ @ universal_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ( ( unordered_pair @ sk_ @ sk__1 )
    = null_class ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(unordered_pair_defn,axiom,
    ! [U: $i,X: $i,Y: $i] :
      ( ( member @ U @ ( unordered_pair @ X @ Y ) )
    <=> ( ( member @ U @ universal_class )
        & ( ( U = X )
          | ( U = Y ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
      | ( X0 != X1 )
      | ~ ( member @ X0 @ universal_class ) ),
    inference(cnf,[status(esa)],[unordered_pair_defn]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( member @ X0 @ null_class )
      | ~ ( member @ X0 @ universal_class )
      | ( X0 != sk_ ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl3]) ).

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

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ~ ( member @ X0 @ null_class ),
    inference(cnf,[status(esa)],[null_class_defn]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( X0 != sk_ )
      | ~ ( member @ X0 @ universal_class ) ),
    inference(clc,[status(thm)],[zip_derived_cl37,zip_derived_cl7]) ).

thf(zip_derived_cl42,plain,
    sk_ != sk_,
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl38]) ).

thf(zip_derived_cl43,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl42]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SET073+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CdNH0ehhij true
% 0.09/0.31  % Computer : n031.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Wed Oct  1 13:02:23 EDT 2025
% 0.09/0.31  % CPUTime  : 
% 0.09/0.31  % Running portfolio for 300 s
% 0.09/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31  % Number of cores: 8
% 0.09/0.32  % Python version: Python 3.6.8
% 0.09/0.32  % Running in FO mode
% 0.45/0.57  % Total configuration time : 435
% 0.45/0.57  % Estimated wc time : 1092
% 0.45/0.57  % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.67  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.68  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.68  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.68  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.68  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.68  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.45/0.72  % Solved by fo/fo4.sh.
% 0.45/0.72  % done 24 iterations in 0.017s
% 0.45/0.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.45/0.72  % SZS output start Refutation
% See solution above
% 0.45/0.72  
% 0.45/0.72  
% 0.45/0.72  % Terminating...
% 0.52/0.79  % Runner terminated.
% 0.52/0.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------