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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET933+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DWLtPNXLud true

% Computer : n004.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 04:53:12 PM UTC 2025

% Result   : Theorem 0.49s 0.72s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (  11 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   81 (  15   ~;   9   |;   0   &;  54   @)
%                                         (   3 <=>;   0  =>;   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;   2 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i ).

thf(in_type,type,
    in: $i > $i > $o ).

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

thf(singleton_type,type,
    singleton: $i > $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

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

thf(zip_derived_cl9,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(d1_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( powerset @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( subset @ C @ A ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( X2
       != ( powerset @ X1 ) ) ),
    inference(cnf,[status(esa)],[d1_zfmisc_1]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
       != ( powerset @ X0 ) )
      | ( in @ X0 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).

thf(l2_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ B )
    <=> ( in @ A @ B ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l2_zfmisc_1]) ).

thf(t80_zfmisc_1,conjecture,
    ! [A: $i] : ( subset @ ( singleton @ A ) @ ( powerset @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] : ( subset @ ( singleton @ A ) @ ( powerset @ A ) ),
    inference('cnf.neg',[status(esa)],[t80_zfmisc_1]) ).

thf(zip_derived_cl10,plain,
    ~ ( subset @ ( singleton @ sk__3 ) @ ( powerset @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( singleton @ X1 )
       != ( singleton @ sk__3 ) )
      | ( X0
       != ( powerset @ sk__3 ) )
      | ~ ( in @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( powerset @ X1 ) )
      | ( X0
       != ( powerset @ sk__3 ) )
      | ( ( singleton @ X1 )
       != ( singleton @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl74]) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i] :
      ( ( ( singleton @ X0 )
       != ( singleton @ sk__3 ) )
      | ( ( powerset @ X0 )
       != ( powerset @ sk__3 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl95,plain,
    ( ( powerset @ sk__3 )
   != ( powerset @ sk__3 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl96,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl95]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SET933+1 : TPTP v9.2.0. Released v3.2.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DWLtPNXLud true
% 0.10/0.31  % Computer : n004.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 13:01:38 EDT 2025
% 0.16/0.31  % CPUTime  : 
% 0.16/0.31  % Running portfolio for 300 s
% 0.16/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.31  % Number of cores: 8
% 0.16/0.31  % Python version: Python 3.6.8
% 0.16/0.32  % Running in FO mode
% 0.49/0.58  % Total configuration time : 435
% 0.49/0.58  % Estimated wc time : 1092
% 0.49/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.70  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.72  % Solved by fo/fo3_bce.sh.
% 0.49/0.72  % BCE start: 11
% 0.49/0.72  % BCE eliminated: 0
% 0.49/0.72  % PE start: 11
% 0.49/0.72  logic: eq
% 0.49/0.72  % PE eliminated: -7
% 0.49/0.72  % done 12 iterations in 0.016s
% 0.49/0.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.72  % SZS output start Refutation
% See solution above
% 0.49/0.72  
% 0.49/0.72  
% 0.49/0.72  % Terminating...
% 0.57/0.79  % Runner terminated.
% 0.57/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------