TSTP Solution File: SET027+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET027+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.38Y9aBX9qJ true

% Computer : n014.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 16:11:57 EDT 2023

% Result   : Theorem 1.26s 0.78s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (   5 unt;   6 typ;   0 def)
%            Number of atoms       :   34 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  102 (  11   ~;  11   |;   2   &;  74   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  23   !;   0   ?;  23   :)

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

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(thI03,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subset @ A @ B )
        & ( subset @ B @ C ) )
     => ( subset @ A @ C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( subset @ A @ B )
          & ( subset @ B @ C ) )
       => ( subset @ A @ C ) ),
    inference('cnf.neg',[status(esa)],[thI03]) ).

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

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_cl31,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_cl178,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__3 )
      | ( member @ X0 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl0]) ).

thf(zip_derived_cl30,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_cl177,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__4 )
      | ( member @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,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_cl182,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( sk_ @ sk__5 @ X0 ) @ sk__4 )
      | ( subset @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl1]) ).

thf(zip_derived_cl199,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( sk_ @ sk__5 @ X0 ) @ sk__3 )
      | ( subset @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl182]) ).

thf(zip_derived_cl206,plain,
    ( ( subset @ sk__3 @ sk__5 )
    | ( subset @ sk__3 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl199]) ).

thf(zip_derived_cl207,plain,
    subset @ sk__3 @ sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl206]) ).

thf(zip_derived_cl211,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl207]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SET027+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.38Y9aBX9qJ true
% 0.14/0.35  % Computer : n014.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 11:29:47 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.18/0.60  % Total configuration time : 435
% 0.18/0.60  % Estimated wc time : 1092
% 0.18/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.26/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.26/0.78  % Solved by fo/fo6_bce.sh.
% 1.26/0.78  % BCE start: 32
% 1.26/0.78  % BCE eliminated: 0
% 1.26/0.78  % PE start: 32
% 1.26/0.78  logic: eq
% 1.26/0.78  % PE eliminated: 3
% 1.26/0.78  % done 31 iterations in 0.036s
% 1.26/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.26/0.78  % SZS output start Refutation
% See solution above
% 1.26/0.78  
% 1.26/0.78  
% 1.26/0.78  % Terminating...
% 1.26/0.83  % Runner terminated.
% 1.26/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------