TSTP Solution File: SET366+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET366+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IFFoU0qLA0 true

% Computer : n018.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 16:13:58 EDT 2023

% Result   : Theorem 1.30s 0.79s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   18 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   17 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   50 (   6   ~;   2   |;   0   &;  39   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   3 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 > $i > $i ).

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

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

thf(power_set_type,type,
    power_set: $i > $i ).

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

thf(power_set,axiom,
    ! [X: $i,A: $i] :
      ( ( member @ X @ ( power_set @ A ) )
    <=> ( subset @ X @ A ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( member @ X0 @ ( power_set @ X1 ) )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[power_set]) ).

thf(thI47,conjecture,
    ! [A: $i] : ( member @ empty_set @ ( power_set @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] : ( member @ empty_set @ ( power_set @ A ) ),
    inference('cnf.neg',[status(esa)],[thI47]) ).

thf(zip_derived_cl29,plain,
    ~ ( member @ empty_set @ ( power_set @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    ~ ( subset @ empty_set @ sk__3 ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl29]) ).

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

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset]) ).

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

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ~ ( member @ X0 @ empty_set ),
    inference(cnf,[status(esa)],[empty_set]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] : ( subset @ empty_set @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).

thf(zip_derived_cl46,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl30]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET366+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IFFoU0qLA0 true
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 15:04:30 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75  % /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
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.79  % Solved by fo/fo7.sh.
% 1.30/0.79  % done 17 iterations in 0.011s
% 1.30/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/0.79  % SZS output start Refutation
% See solution above
% 1.30/0.79  
% 1.30/0.79  
% 1.30/0.79  % Terminating...
% 1.54/0.87  % Runner terminated.
% 1.54/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------