TSTP Solution File: SET700+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET700+4 : 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.fKHtuXlsAb true

% Computer : n005.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 16:15:39 EDT 2023

% Result   : Theorem 1.34s 0.85s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   53 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :  107 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  444 (  40   ~;  36   |;   4   &; 342   @)
%                                         (   5 <=>;   3  =>;  14  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   59 (   0   ^;  59   !;   0   ?;  59   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

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

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

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

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

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

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

thf(intersection_type,type,
    intersection: $i > $i > $i ).

thf(thI34,conjecture,
    ! [A: $i,B: $i,E: $i] :
      ( ( ( subset @ A @ E )
        & ( subset @ B @ E ) )
     => ( ( subset @ A @ B )
      <=> ( subset @ ( intersection @ A @ ( difference @ E @ B ) ) @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,E: $i] :
        ( ( ( subset @ A @ E )
          & ( subset @ B @ E ) )
       => ( ( subset @ A @ B )
        <=> ( subset @ ( intersection @ A @ ( difference @ E @ B ) ) @ B ) ) ),
    inference('cnf.neg',[status(esa)],[thI34]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 )
    | ~ ( subset @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    ( ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 )
   <= ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf('0',plain,
    ( ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 )
    | ~ ( subset @ sk__3 @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

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

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

thf(difference,axiom,
    ! [B: $i,A: $i,E: $i] :
      ( ( member @ B @ ( difference @ E @ A ) )
    <=> ( ( member @ B @ E )
        & ~ ( member @ B @ A ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( difference @ X1 @ X2 ) )
      | ( member @ X0 @ X2 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[difference]) ).

thf(intersection,axiom,
    ! [X: $i,A: $i,B: $i] :
      ( ( member @ X @ ( intersection @ A @ B ) )
    <=> ( ( member @ X @ A )
        & ( member @ X @ B ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( intersection @ X1 @ X2 ) )
      | ~ ( member @ X0 @ X2 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl32,plain,
    ( ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 )
    | ( subset @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    ( ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl39,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) )
        | ( member @ X0 @ sk__4 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).

thf(zip_derived_cl128,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ sk__3 )
        | ~ ( member @ X0 @ ( difference @ sk__5 @ sk__4 ) )
        | ( member @ X0 @ sk__4 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl39]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[difference]) ).

thf(zip_derived_cl151,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ ( difference @ sk__5 @ sk__4 ) )
        | ~ ( member @ X0 @ sk__3 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference(clc,[status(thm)],[zip_derived_cl128,zip_derived_cl16]) ).

thf(zip_derived_cl212,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ sk__5 )
        | ( member @ X0 @ sk__4 )
        | ~ ( member @ X0 @ sk__3 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl151]) ).

thf(zip_derived_cl29,plain,
    subset @ sk__3 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__3 )
      | ( member @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl0]) ).

thf(zip_derived_cl216,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ sk__3 )
        | ( member @ X0 @ sk__4 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference(clc,[status(thm)],[zip_derived_cl212,zip_derived_cl41]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl218,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
        | ( subset @ X0 @ sk__4 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl1]) ).

thf(zip_derived_cl222,plain,
    ( ( ( subset @ sk__3 @ sk__4 )
      | ( subset @ sk__3 @ sk__4 ) )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl218]) ).

thf(zip_derived_cl224,plain,
    ( ( subset @ sk__3 @ sk__4 )
   <= ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl222]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( subset @ sk__3 @ sk__4 )
   <= ~ ( subset @ sk__3 @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl31]) ).

thf('1',plain,
    ( ( subset @ sk__3 @ sk__4 )
    | ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl33]) ).

thf('2',plain,
    ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl229,plain,
    ~ ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl34,'2']) ).

thf(zip_derived_cl35,plain,
    ( ( subset @ sk__3 @ sk__4 )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl40,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ X0 @ sk__3 )
        | ( member @ X0 @ sk__4 ) )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl0]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl45,plain,
    ( ! [X0: $i] :
        ( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
        | ( subset @ X0 @ sk__4 ) )
   <= ( subset @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1]) ).

thf('3',plain,
    ( ( subset @ sk__3 @ sk__4 )
    | ( subset @ ( intersection @ sk__3 @ ( difference @ sk__5 @ sk__4 ) ) @ sk__4 ) ),
    inference(split,[status(esa)],[zip_derived_cl32]) ).

thf('4',plain,
    subset @ sk__3 @ sk__4,
    inference('sat_resolution*',[status(thm)],['0','1','3']) ).

thf(zip_derived_cl232,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 )
      | ( subset @ X0 @ sk__4 ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl45,'4']) ).

thf(zip_derived_cl2_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( intersection @ X1 @ X0 ) @ X2 )
      | ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl393,plain,
    ! [X0: $i] :
      ( ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 )
      | ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl232,zip_derived_cl51]) ).

thf(zip_derived_cl394,plain,
    ! [X0: $i] : ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__4 ),
    inference(simplify,[status(thm)],[zip_derived_cl393]) ).

thf(zip_derived_cl420,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl394]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET700+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fKHtuXlsAb true
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 10:04:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.85  % Solved by fo/fo1_av.sh.
% 1.34/0.85  % done 165 iterations in 0.098s
% 1.34/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/0.85  % SZS output start Refutation
% See solution above
% 1.34/0.86  
% 1.34/0.86  
% 1.34/0.86  % Terminating...
% 1.59/0.96  % Runner terminated.
% 1.59/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------