TSTP Solution File: SET604+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET604+3 : 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.aa7dCVTmju true

% Computer : n015.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 16:14:56 EDT 2023

% Result   : Theorem 0.21s 0.74s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :   13 (   7 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   29 (   6   ~;   2   |;   0   &;  20   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(difference_type,type,
    difference: $i > $i > $i ).

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

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(difference_empty_set,axiom,
    ! [B: $i,C: $i] :
      ( ( ( difference @ B @ C )
        = empty_set )
    <=> ( subset @ B @ C ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( difference @ X0 @ X1 )
        = empty_set )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[difference_empty_set]) ).

thf(prove_no_difference_with_empty_set,conjecture,
    ! [B: $i] :
      ( ( difference @ empty_set @ B )
      = empty_set ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] :
        ( ( difference @ empty_set @ B )
        = empty_set ),
    inference('cnf.neg',[status(esa)],[prove_no_difference_with_empty_set]) ).

thf(zip_derived_cl16,plain,
    ( ( difference @ empty_set @ sk__2 )
   != empty_set ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl76,plain,
    ( ~ ( subset @ empty_set @ sk__2 )
    | ( empty_set != empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl16]) ).

thf(empty_set_subset,axiom,
    ! [B: $i] : ( subset @ empty_set @ B ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( subset @ empty_set @ X0 ),
    inference(cnf,[status(esa)],[empty_set_subset]) ).

thf(zip_derived_cl77,plain,
    empty_set != empty_set,
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl0]) ).

thf(zip_derived_cl78,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl77]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aa7dCVTmju true
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 12:50:38 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % 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
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % Solved by fo/fo6_bce.sh.
% 0.21/0.74  % BCE start: 17
% 0.21/0.74  % BCE eliminated: 0
% 0.21/0.74  % PE start: 17
% 0.21/0.74  logic: eq
% 0.21/0.74  % PE eliminated: 1
% 0.21/0.74  % done 7 iterations in 0.007s
% 0.21/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.74  % SZS output start Refutation
% See solution above
% 0.21/0.74  
% 0.21/0.74  
% 0.21/0.74  % Terminating...
% 1.08/0.88  % Runner terminated.
% 1.53/0.90  % Zipperpin 1.5 exiting
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