TSTP Solution File: SET027+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET027+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ck0pNpVqIp true

% Computer : n023.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 16:11:56 EDT 2023

% Result   : Theorem 0.57s 0.79s
% Output   : Refutation 0.57s
% 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__7_type,type,
    sk__7: $i ).

thf(subclass_type,type,
    subclass: $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(sk__8_type,type,
    sk__8: $i ).

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

thf(transitivity,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( subclass @ X @ Y )
        & ( subclass @ Y @ Z ) )
     => ( subclass @ X @ Z ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i,Z: $i] :
        ( ( ( subclass @ X @ Y )
          & ( subclass @ Y @ Z ) )
       => ( subclass @ X @ Z ) ),
    inference('cnf.neg',[status(esa)],[transitivity]) ).

thf(zip_derived_cl89,plain,
    ~ ( subclass @ sk__7 @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(subclass_defn,axiom,
    ! [X: $i,Y: $i] :
      ( ( subclass @ X @ Y )
    <=> ! [U: $i] :
          ( ( member @ U @ X )
         => ( member @ U @ Y ) ) ) ).

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

thf(zip_derived_cl90,plain,
    subclass @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl427,plain,
    ! [X0: $i] :
      ( ( member @ X0 @ sk__9 )
      | ~ ( member @ X0 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl0]) ).

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

thf(zip_derived_cl512,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( sk_ @ sk__9 @ X0 ) @ sk__8 )
      | ( subclass @ X0 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl1]) ).

thf(zip_derived_cl91,plain,
    subclass @ sk__7 @ sk__8,
    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 )
      | ~ ( subclass @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[subclass_defn]) ).

thf(zip_derived_cl426,plain,
    ! [X0: $i] :
      ( ( member @ X0 @ sk__8 )
      | ~ ( member @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl0]) ).

thf(zip_derived_cl593,plain,
    ! [X0: $i] :
      ( ( subclass @ X0 @ sk__9 )
      | ~ ( member @ ( sk_ @ sk__9 @ X0 ) @ sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl512,zip_derived_cl426]) ).

thf(zip_derived_cl608,plain,
    ( ( subclass @ sk__7 @ sk__9 )
    | ( subclass @ sk__7 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl593]) ).

thf(zip_derived_cl609,plain,
    subclass @ sk__7 @ sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl608]) ).

thf(zip_derived_cl611,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl609]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET027+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ck0pNpVqIp true
% 0.13/0.34  % Computer : n023.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
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 14:01:56 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.79  % Solved by fo/fo3_bce.sh.
% 0.57/0.79  % BCE start: 92
% 0.57/0.79  % BCE eliminated: 0
% 0.57/0.79  % PE start: 92
% 0.57/0.79  logic: eq
% 0.57/0.79  % PE eliminated: 5
% 0.57/0.79  % done 86 iterations in 0.043s
% 0.57/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.79  % SZS output start Refutation
% See solution above
% 0.57/0.79  
% 0.57/0.79  
% 0.57/0.79  % Terminating...
% 1.66/0.85  % Runner terminated.
% 1.66/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------