TSTP Solution File: SET583+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET583+3 : 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.k9eMxb39Sr true

% Computer : n027.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 16:14:42 EDT 2023

% Result   : Theorem 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   19 (   7 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (   5   ~;   3   |;   3   &;  22   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

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

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

thf(prove_extensionality,conjecture,
    ! [B: $i,C: $i] :
      ( ( ( subset @ B @ C )
        & ( subset @ C @ B ) )
     => ( B = C ) ) ).

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

thf(zip_derived_cl7,plain,
    subset @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

thf(zip_derived_cl54,plain,
    ( ~ ( subset @ sk__2 @ sk__1 )
    | ( sk__2 = sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    subset @ sk__2 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    sk__2 = sk__1,
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl8]) ).

thf(zip_derived_cl9,plain,
    sk__1 != sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl58,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET583+3 : TPTP v8.1.2. Released v2.2.0.
% 0.15/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.k9eMxb39Sr true
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 08:44:04 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % Solved by fo/fo3_bce.sh.
% 0.22/0.77  % BCE start: 10
% 0.22/0.77  % BCE eliminated: 0
% 0.22/0.77  % PE start: 10
% 0.22/0.77  logic: eq
% 0.22/0.77  % PE eliminated: 0
% 0.22/0.77  % done 6 iterations in 0.006s
% 0.22/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.77  % Terminating...
% 1.18/0.85  % Runner terminated.
% 1.18/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------