TSTP Solution File: SEU160+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU160+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eaSdn46DTh true

% Computer : n005.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 Aug 31 19:10:53 EDT 2023

% Result   : Theorem 0.20s 0.83s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   26 (   6 unt;   5 typ;   0 def)
%            Number of atoms       :   44 (  27 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   85 (  11   ~;  18   |;   1   &;  51   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

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

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

thf(sk__3_type,type,
    sk__3: $i ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(t39_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ ( singleton @ B ) )
    <=> ( ( A = empty_set )
        | ( A
          = ( singleton @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ A @ ( singleton @ B ) )
      <=> ( ( A = empty_set )
          | ( A
            = ( singleton @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t39_zfmisc_1]) ).

thf(zip_derived_cl36,plain,
    ( ( sk__3 != empty_set )
    | ~ ( subset @ sk__3 @ ( singleton @ sk__4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35,plain,
    ( ( sk__3
      = ( singleton @ sk__4 ) )
    | ( sk__3 = empty_set )
    | ( subset @ sk__3 @ ( singleton @ sk__4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[d10_xboole_0]) ).

thf(zip_derived_cl43,plain,
    ( ( subset @ sk__3 @ ( singleton @ sk__4 ) )
    | ( sk__3 = empty_set ) ),
    inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl0]) ).

thf(l4_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ ( singleton @ B ) )
    <=> ( ( A = empty_set )
        | ( A
          = ( singleton @ B ) ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( singleton @ X0 ) )
      | ( X1 = empty_set )
      | ~ ( subset @ X1 @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[l4_zfmisc_1]) ).

thf(zip_derived_cl187,plain,
    ( ( sk__3 = empty_set )
    | ( sk__3 = empty_set )
    | ( sk__3
      = ( singleton @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl19]) ).

thf(zip_derived_cl192,plain,
    ( ( sk__3
      = ( singleton @ sk__4 ) )
    | ( sk__3 = empty_set ) ),
    inference(simplify,[status(thm)],[zip_derived_cl187]) ).

thf(zip_derived_cl37,plain,
    ( ( sk__3
     != ( singleton @ sk__4 ) )
    | ~ ( subset @ sk__3 @ ( singleton @ sk__4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl232,plain,
    ( ( sk__3 != sk__3 )
    | ( sk__3 = empty_set )
    | ~ ( subset @ sk__3 @ ( singleton @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl37]) ).

thf(zip_derived_cl235,plain,
    ( ~ ( subset @ sk__3 @ ( singleton @ sk__4 ) )
    | ( sk__3 = empty_set ) ),
    inference(simplify,[status(thm)],[zip_derived_cl232]) ).

thf(zip_derived_cl43_001,plain,
    ( ( subset @ sk__3 @ ( singleton @ sk__4 ) )
    | ( sk__3 = empty_set ) ),
    inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl0]) ).

thf(zip_derived_cl239,plain,
    sk__3 = empty_set,
    inference(clc,[status(thm)],[zip_derived_cl235,zip_derived_cl43]) ).

thf(zip_derived_cl239_002,plain,
    sk__3 = empty_set,
    inference(clc,[status(thm)],[zip_derived_cl235,zip_derived_cl43]) ).

thf(t2_xboole_1,axiom,
    ! [A: $i] : ( subset @ empty_set @ A ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] : ( subset @ empty_set @ X0 ),
    inference(cnf,[status(esa)],[t2_xboole_1]) ).

thf(zip_derived_cl240,plain,
    empty_set != empty_set,
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl239,zip_derived_cl239,zip_derived_cl26]) ).

thf(zip_derived_cl241,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl240]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU160+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eaSdn46DTh true
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Aug 23 13:54:09 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.83  % Solved by fo/fo4.sh.
% 0.20/0.83  % done 60 iterations in 0.047s
% 0.20/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.83  % SZS output start Refutation
% See solution above
% 0.20/0.83  
% 0.20/0.83  
% 0.20/0.83  % Terminating...
% 0.20/0.95  % Runner terminated.
% 0.20/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------