TSTP Solution File: SET019+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET019+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9ILD80o6ZY true

% Computer : n032.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 16:11:50 EDT 2023

% Result   : Theorem 0.14s 0.54s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   19 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   52 (   7   ~;   3   |;   3   &;  36   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

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

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

thf(equal_set_type,type,
    equal_set: $i > $i > $o ).

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

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

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( equal_set @ X0 @ X1 )
      | ~ ( subset @ X1 @ X0 )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[equal_set]) ).

thf(thI02,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( subset @ A @ B )
        & ( subset @ B @ A ) )
     => ( equal_set @ A @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( subset @ A @ B )
          & ( subset @ B @ A ) )
       => ( equal_set @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[thI02]) ).

thf(zip_derived_cl31,plain,
    ~ ( equal_set @ sk__3 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl158,plain,
    ( ~ ( subset @ sk__3 @ sk__4 )
    | ~ ( subset @ sk__4 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl31]) ).

thf(zip_derived_cl29,plain,
    subset @ sk__3 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl159,plain,
    ~ ( subset @ sk__4 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl29]) ).

thf(zip_derived_cl30,plain,
    subset @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl161,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl30]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SET019+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9ILD80o6ZY true
% 0.08/0.29  % Computer : n032.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Sat Aug 26 16:12:14 EDT 2023
% 0.08/0.29  % CPUTime  : 
% 0.08/0.29  % Running portfolio for 300 s
% 0.08/0.29  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29  % Number of cores: 8
% 0.08/0.29  % Python version: Python 3.6.8
% 0.08/0.29  % Running in FO mode
% 0.14/0.46  % Total configuration time : 435
% 0.14/0.46  % Estimated wc time : 1092
% 0.14/0.46  % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.51  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.52  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.53  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.54  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.54  % Solved by fo/fo6_bce.sh.
% 0.14/0.54  % BCE start: 32
% 0.14/0.54  % BCE eliminated: 0
% 0.14/0.54  % PE start: 32
% 0.14/0.54  logic: eq
% 0.14/0.54  % PE eliminated: 3
% 0.14/0.54  % done 5 iterations in 0.008s
% 0.14/0.54  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.14/0.54  % SZS output start Refutation
% See solution above
% 0.14/0.54  
% 0.14/0.54  
% 0.14/0.54  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.54  % Terminating...
% 0.14/0.57  % Runner terminated.
% 0.14/0.58  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------