TSTP Solution File: SET689+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET689+4 : 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.21LeddyXQh true

% Computer : n011.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 16:15:37 EDT 2023

% Result   : Theorem 1.32s 0.75s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   29 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :   46 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  138 (  16   ~;  14   |;   5   &;  98   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

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

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

thf(equal_set_type,type,
    equal_set: $i > $i > $o ).

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(equal_set,axiom,
    ! [A: $i,B: $i] :
      ( ( equal_set @ A @ B )
    <=> ( ( subset @ A @ B )
        & ( subset @ B @ A ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( equal_set @ X0 @ X1 )
      | ~ ( subset @ X1 @ X0 )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[equal_set]) ).

thf(thI05,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subset @ A @ B )
        & ( subset @ B @ C )
        & ( subset @ C @ A ) )
     => ( equal_set @ A @ C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( subset @ A @ B )
          & ( subset @ B @ C )
          & ( subset @ C @ A ) )
       => ( equal_set @ A @ C ) ),
    inference('cnf.neg',[status(esa)],[thI05]) ).

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

thf(zip_derived_cl161,plain,
    ( ~ ( subset @ sk__3 @ sk__5 )
    | ~ ( subset @ sk__5 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).

thf(zip_derived_cl30,plain,
    subset @ sk__5 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl165,plain,
    ~ ( subset @ sk__3 @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl30]) ).

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(zip_derived_cl32,plain,
    subset @ sk__3 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl164,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__3 )
      | ( member @ X0 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl0]) ).

thf(zip_derived_cl31,plain,
    subset @ sk__4 @ 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_cl163,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__4 )
      | ( member @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl0]) ).

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_cl168,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( sk_ @ sk__5 @ X0 ) @ sk__4 )
      | ( subset @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl1]) ).

thf(zip_derived_cl198,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( sk_ @ sk__5 @ X0 ) @ sk__3 )
      | ( subset @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl168]) ).

thf(zip_derived_cl211,plain,
    ( ( subset @ sk__3 @ sk__5 )
    | ( subset @ sk__3 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl198]) ).

thf(zip_derived_cl213,plain,
    subset @ sk__3 @ sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl211]) ).

thf(zip_derived_cl215,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl213]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET689+4 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.21LeddyXQh true
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 09:43:24 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.14/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.14/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.32/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.32/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.75  % Solved by fo/fo6_bce.sh.
% 1.32/0.75  % BCE start: 33
% 1.32/0.75  % BCE eliminated: 0
% 1.32/0.75  % PE start: 33
% 1.32/0.75  logic: eq
% 1.32/0.75  % PE eliminated: 3
% 1.32/0.75  % done 42 iterations in 0.022s
% 1.32/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.32/0.75  % SZS output start Refutation
% See solution above
% 1.32/0.75  
% 1.32/0.75  
% 1.32/0.75  % Terminating...
% 1.71/0.84  % Runner terminated.
% 1.72/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------