TSTP Solution File: SEU129+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU129+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.b5pb1XghJw true

% Computer : n019.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 19:10:37 EDT 2023

% Result   : Theorem 1.28s 0.85s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   35 (  13 unt;   7 typ;   0 def)
%            Number of atoms       :   51 (   5 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  237 (  22   ~;  16   |;   1   &; 192   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   45 (   0   ^;  45   !;   0   ?;  45   :)

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

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

thf(sk__6_type,type,
    sk__6: $i ).

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

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

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(t26_xboole_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( subset @ A @ B )
     => ( subset @ ( set_intersection2 @ A @ C ) @ ( set_intersection2 @ B @ C ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( subset @ A @ B )
       => ( subset @ ( set_intersection2 @ A @ C ) @ ( set_intersection2 @ B @ C ) ) ),
    inference('cnf.neg',[status(esa)],[t26_xboole_1]) ).

thf(zip_derived_cl19,plain,
    subset @ sk__4 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__5 )
      | ~ ( in @ X0 @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl2]) ).

thf(d3_xboole_0,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( set_intersection2 @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( in @ D @ A )
            & ( in @ D @ B ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X0 @ X2 )
      | ( in @ X0 @ X3 )
      | ( X3
       != ( set_intersection2 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[d3_xboole_0]) ).

thf(zip_derived_cl329,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X2 @ ( set_intersection2 @ X1 @ X0 ) )
      | ~ ( in @ X2 @ X0 )
      | ~ ( in @ X2 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl18,plain,
    ~ ( subset @ ( set_intersection2 @ sk__4 @ sk__6 ) @ ( set_intersection2 @ sk__5 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl211,plain,
    ~ ( in @ ( sk_ @ ( set_intersection2 @ sk__5 @ sk__6 ) @ ( set_intersection2 @ sk__4 @ sk__6 ) ) @ ( set_intersection2 @ sk__5 @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl18]) ).

thf(zip_derived_cl575,plain,
    ( ~ ( in @ ( sk_ @ ( set_intersection2 @ sk__5 @ sk__6 ) @ ( set_intersection2 @ sk__4 @ sk__6 ) ) @ sk__5 )
    | ~ ( in @ ( sk_ @ ( set_intersection2 @ sk__5 @ sk__6 ) @ ( set_intersection2 @ sk__4 @ sk__6 ) ) @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl211]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl18_001,plain,
    ~ ( subset @ ( set_intersection2 @ sk__4 @ sk__6 ) @ ( set_intersection2 @ sk__5 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    in @ ( sk_ @ ( set_intersection2 @ sk__5 @ sk__6 ) @ ( set_intersection2 @ sk__4 @ sk__6 ) ) @ ( set_intersection2 @ sk__4 @ sk__6 ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl18]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( X1
       != ( set_intersection2 @ X3 @ X2 ) ) ),
    inference(cnf,[status(esa)],[d3_xboole_0]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ ( set_intersection2 @ X2 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl269,plain,
    in @ ( sk_ @ ( set_intersection2 @ sk__5 @ sk__6 ) @ ( set_intersection2 @ sk__4 @ sk__6 ) ) @ sk__6,
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl34]) ).

thf(zip_derived_cl586,plain,
    ~ ( in @ ( sk_ @ ( set_intersection2 @ sk__5 @ sk__6 ) @ ( set_intersection2 @ sk__4 @ sk__6 ) ) @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl575,zip_derived_cl269]) ).

thf(zip_derived_cl627,plain,
    ~ ( in @ ( sk_ @ ( set_intersection2 @ sk__5 @ sk__6 ) @ ( set_intersection2 @ sk__4 @ sk__6 ) ) @ sk__4 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl586]) ).

thf(zip_derived_cl50_002,plain,
    in @ ( sk_ @ ( set_intersection2 @ sk__5 @ sk__6 ) @ ( set_intersection2 @ sk__4 @ sk__6 ) ) @ ( set_intersection2 @ sk__4 @ sk__6 ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl18]) ).

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_cl34_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ ( set_intersection2 @ X2 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( set_intersection2 @ X1 @ X0 ) )
      | ( in @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl34]) ).

thf(zip_derived_cl270,plain,
    in @ ( sk_ @ ( set_intersection2 @ sk__5 @ sk__6 ) @ ( set_intersection2 @ sk__4 @ sk__6 ) ) @ sk__4,
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl62]) ).

thf(zip_derived_cl648,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl627,zip_derived_cl270]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU129+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.b5pb1XghJw true
% 0.14/0.38  % Computer : n019.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit : 300
% 0.14/0.38  % WCLimit  : 300
% 0.14/0.38  % DateTime : Wed Aug 23 16:33:44 EDT 2023
% 0.24/0.38  % CPUTime  : 
% 0.24/0.38  % Running portfolio for 300 s
% 0.24/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.38  % Number of cores: 8
% 0.24/0.38  % Python version: Python 3.6.8
% 0.24/0.39  % Running in FO mode
% 0.24/0.68  % Total configuration time : 435
% 0.24/0.68  % Estimated wc time : 1092
% 0.24/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.24/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.24/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.85  % Solved by fo/fo7.sh.
% 1.28/0.85  % done 136 iterations in 0.062s
% 1.28/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/0.85  % SZS output start Refutation
% See solution above
% 1.28/0.85  
% 1.28/0.85  
% 1.28/0.85  % Terminating...
% 1.51/0.95  % Runner terminated.
% 1.51/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------