TSTP Solution File: SET947+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7VJpaR6dUH 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 Aug 31 16:16:57 EDT 2023

% Result   : Theorem 1.18s 0.79s
% Output   : Refutation 1.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   29 (   2 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  108 (  11   ~;   7   |;   0   &;  85   @)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  23   !;   0   ?;  23   :)

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

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

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

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

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

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

thf(l50_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( subset @ A @ ( union @ B ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ ( union @ X1 ) )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l50_zfmisc_1]) ).

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_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X1 @ ( powerset @ X0 ) )
      | ~ ( subset @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ( in @ X1 @ ( powerset @ ( union @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl14]) ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(t100_zfmisc_1,conjecture,
    ! [A: $i] : ( subset @ A @ ( powerset @ ( union @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] : ( subset @ A @ ( powerset @ ( union @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t100_zfmisc_1]) ).

thf(zip_derived_cl12,plain,
    ~ ( subset @ sk__4 @ ( powerset @ ( union @ sk__4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ~ ( in @ ( sk__1 @ ( powerset @ ( union @ sk__4 ) ) @ sk__4 ) @ ( powerset @ ( union @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl12]) ).

thf(zip_derived_cl41,plain,
    ~ ( in @ ( sk__1 @ ( powerset @ ( union @ sk__4 ) ) @ sk__4 ) @ sk__4 ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl24]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl12_001,plain,
    ~ ( subset @ sk__4 @ ( powerset @ ( union @ sk__4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    in @ ( sk__1 @ ( powerset @ ( union @ sk__4 ) ) @ sk__4 ) @ sk__4,
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl12]) ).

thf(zip_derived_cl42,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl34]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7VJpaR6dUH true
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 14:38:23 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.18/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.18/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.18/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.18/0.79  % Solved by fo/fo7.sh.
% 1.18/0.79  % done 23 iterations in 0.012s
% 1.18/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.18/0.79  % SZS output start Refutation
% See solution above
% 1.18/0.79  
% 1.18/0.79  
% 1.18/0.79  % Terminating...
% 1.63/0.85  % Runner terminated.
% 1.63/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------