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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU354+1 : 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.X4hpdeCUiN true

% Computer : n019.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 04:54:20 PM UTC 2025

% Result   : Theorem 0.79s 0.76s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   37 (  20 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   90 (  17   ~;  12   |;   0   &;  55   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  13   !;   0   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__5_type,type,
    sk__5: $i ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(proper_element_type,type,
    proper_element: $i > $i > $o ).

thf(union_type,type,
    union: $i > $i ).

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

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

thf(d2_tex_2,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ B @ A )
     => ( ( proper_element @ B @ A )
      <=> ( B
         != ( union @ A ) ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( union @ X0 ) )
      | ( proper_element @ X1 @ X0 )
      | ~ ( element @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[d2_tex_2]) ).

thf(t5_tex_2,conjecture,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ A ) )
     => ( ( proper_element @ B @ ( powerset @ A ) )
      <=> ( B != A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( element @ B @ ( powerset @ A ) )
       => ( ( proper_element @ B @ ( powerset @ A ) )
        <=> ( B != A ) ) ),
    inference('cnf.neg',[status(esa)],[t5_tex_2]) ).

thf(zip_derived_cl78,plain,
    ( ( sk__6 = sk__5 )
    | ~ ( proper_element @ sk__6 @ ( powerset @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl225,plain,
    ( ~ ( element @ sk__6 @ ( powerset @ sk__5 ) )
    | ( sk__6
      = ( union @ ( powerset @ sk__5 ) ) )
    | ( sk__6 = sk__5 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl78]) ).

thf(zip_derived_cl77,plain,
    element @ sk__6 @ ( powerset @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t99_zfmisc_1,axiom,
    ! [A: $i] :
      ( ( union @ ( powerset @ A ) )
      = A ) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] :
      ( ( union @ ( powerset @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[t99_zfmisc_1]) ).

thf(zip_derived_cl249,plain,
    ( ( sk__6 = sk__5 )
    | ( sk__6 = sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl77,zip_derived_cl83]) ).

thf(zip_derived_cl250,plain,
    sk__6 = sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl249]) ).

thf(zip_derived_cl79,plain,
    ( ( sk__6 != sk__5 )
    | ( proper_element @ sk__6 @ ( powerset @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( proper_element @ X0 @ X1 )
      | ( X0
       != ( union @ X1 ) )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[d2_tex_2]) ).

thf(zip_derived_cl226,plain,
    ( ( sk__6 != sk__5 )
    | ~ ( element @ sk__6 @ ( powerset @ sk__5 ) )
    | ( sk__6
     != ( union @ ( powerset @ sk__5 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl41]) ).

thf(zip_derived_cl77_001,plain,
    element @ sk__6 @ ( powerset @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl83_002,plain,
    ! [X0: $i] :
      ( ( union @ ( powerset @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[t99_zfmisc_1]) ).

thf(zip_derived_cl240,plain,
    ( ( sk__6 != sk__5 )
    | ( sk__6 != sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl77,zip_derived_cl83]) ).

thf(zip_derived_cl241,plain,
    sk__6 != sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl240]) ).

thf(zip_derived_cl251,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl250,zip_derived_cl241]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SEU354+1 : TPTP v9.2.0. Released v3.3.0.
% 0.10/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X4hpdeCUiN true
% 0.10/0.32  % Computer : n019.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 16:08:53 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
% 0.10/0.32  % Number of cores: 8
% 0.10/0.33  % Python version: Python 3.6.8
% 0.10/0.33  % Running in FO mode
% 0.52/0.62  % Total configuration time : 435
% 0.52/0.62  % Estimated wc time : 1092
% 0.52/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.79/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.79/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.79/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.79/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.79/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.79/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.79/0.76  % Solved by fo/fo6_bce.sh.
% 0.79/0.76  % BCE start: 84
% 0.79/0.76  % BCE eliminated: 49
% 0.79/0.76  % PE start: 35
% 0.79/0.76  logic: eq
% 0.79/0.76  % PE eliminated: 3
% 0.79/0.76  % done 29 iterations in 0.016s
% 0.79/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.79/0.76  % SZS output start Refutation
% See solution above
% 0.79/0.76  
% 0.79/0.76  
% 0.79/0.76  % Terminating...
% 0.88/0.83  % Runner terminated.
% 0.88/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------