TSTP Solution File: SET917+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET917+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.lxBtRHcgdX 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 16:16:48 EDT 2023

% Result   : Theorem 0.21s 0.78s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   22 (  10 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   79 (   9   ~;   5   |;   0   &;  63   @)
%                                         (   0 <=>;   2  =>;   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     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

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

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

thf(singleton_type,type,
    singleton: $i > $i ).

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

thf(disjoint_type,type,
    disjoint: $i > $i > $o ).

thf(l32_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( ( set_intersection2 @ B @ ( singleton @ A ) )
        = ( singleton @ A ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_intersection2 @ X1 @ ( singleton @ X0 ) )
        = ( singleton @ X0 ) )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l32_zfmisc_1]) ).

thf(t58_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( set_intersection2 @ ( singleton @ A ) @ B )
        = ( singleton @ A ) )
      | ( disjoint @ ( singleton @ A ) @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( set_intersection2 @ ( singleton @ A ) @ B )
          = ( singleton @ A ) )
        | ( disjoint @ ( singleton @ A ) @ B ) ),
    inference('cnf.neg',[status(esa)],[t58_zfmisc_1]) ).

thf(zip_derived_cl9,plain,
    ( ( set_intersection2 @ ( singleton @ sk__2 ) @ sk__3 )
   != ( singleton @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(commutativity_k3_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( set_intersection2 @ A @ B )
      = ( set_intersection2 @ B @ A ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_intersection2 @ X1 @ X0 )
      = ( set_intersection2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl33,plain,
    ( ( set_intersection2 @ sk__3 @ ( singleton @ sk__2 ) )
   != ( singleton @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).

thf(zip_derived_cl44,plain,
    ( ( ( singleton @ sk__2 )
     != ( singleton @ sk__2 ) )
    | ~ ( in @ sk__2 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl33]) ).

thf(l28_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( in @ A @ B )
     => ( disjoint @ ( singleton @ A ) @ B ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ ( singleton @ X0 ) @ X1 )
      | ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l28_zfmisc_1]) ).

thf(zip_derived_cl8,plain,
    ~ ( disjoint @ ( singleton @ sk__2 ) @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    in @ sk__2 @ sk__3,
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).

thf(zip_derived_cl45,plain,
    ( ( singleton @ sk__2 )
   != ( singleton @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl39]) ).

thf(zip_derived_cl46,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl45]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lxBtRHcgdX true
% 0.13/0.35  % Computer : n004.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 12:07:52 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
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % /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
% 0.21/0.78  % Solved by fo/fo3_bce.sh.
% 0.21/0.78  % BCE start: 10
% 0.21/0.78  % BCE eliminated: 0
% 0.21/0.78  % PE start: 10
% 0.21/0.78  logic: eq
% 0.21/0.78  % PE eliminated: 1
% 0.21/0.78  % done 15 iterations in 0.008s
% 0.21/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.78  % SZS output start Refutation
% See solution above
% 0.21/0.78  
% 0.21/0.78  
% 0.21/0.79  % Terminating...
% 1.23/0.87  % Runner terminated.
% 1.36/0.88  % Zipperpin 1.5 exiting
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