TSTP Solution File: SYO889_16 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO889_16 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O22bStwA4E true

% Computer : n031.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 : Fri Sep  1 05:53:08 EDT 2023

% Result   : Theorem 0.22s 0.76s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   29 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   72 (   0 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  251 (  37   ~;  28   |;  16   &; 162   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  20   !;  12   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf('$ki_world_type',type,
    '$ki_world': $tType ).

thf(b_type,type,
    b: '$ki_world' > $i > $o ).

thf('$ki_accessible_type',type,
    '$ki_accessible': '$ki_world' > '$ki_world' > $o ).

thf('$ki_exists_in_world_$i_type',type,
    '$ki_exists_in_world_$i': '$ki_world' > $i > $o ).

thf(a_type,type,
    a: '$ki_world' > $i > $o ).

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

thf('$ki_local_world_type',type,
    '$ki_local_world': '$ki_world' ).

thf(sk__1_type,type,
    sk__1: $i > '$ki_world' > '$ki_world' ).

thf(sk__2_type,type,
    sk__2: '$ki_world' ).

thf(verify,conjecture,
    ( ( ? [W: '$ki_world'] :
          ( ? [X: $i] :
              ( ! [W0: '$ki_world'] :
                  ( ( '$ki_accessible' @ W @ W0 )
                 => ( a @ W0 @ X ) )
              & ( '$ki_exists_in_world_$i' @ W @ X ) )
          & ( '$ki_accessible' @ '$ki_local_world' @ W ) )
      & ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ! [X: $i] :
              ( ( '$ki_exists_in_world_$i' @ W @ X )
             => ? [W0: '$ki_world'] :
                  ( ( b @ W0 @ X )
                  & ( '$ki_accessible' @ W @ W0 ) ) ) ) )
   => ? [W: '$ki_world'] :
        ( ? [X: $i] :
            ( ? [W0: '$ki_world'] :
                ( ( b @ W0 @ X )
                & ( a @ W0 @ X )
                & ( '$ki_accessible' @ W @ W0 ) )
            & ( '$ki_exists_in_world_$i' @ W @ X ) )
        & ( '$ki_accessible' @ '$ki_local_world' @ W ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ? [W: '$ki_world'] :
            ( ? [X: $i] :
                ( ! [W0: '$ki_world'] :
                    ( ( '$ki_accessible' @ W @ W0 )
                   => ( a @ W0 @ X ) )
                & ( '$ki_exists_in_world_$i' @ W @ X ) )
            & ( '$ki_accessible' @ '$ki_local_world' @ W ) )
        & ! [W: '$ki_world'] :
            ( ( '$ki_accessible' @ '$ki_local_world' @ W )
           => ! [X: $i] :
                ( ( '$ki_exists_in_world_$i' @ W @ X )
               => ? [W0: '$ki_world'] :
                    ( ( b @ W0 @ X )
                    & ( '$ki_accessible' @ W @ W0 ) ) ) ) )
     => ? [W: '$ki_world'] :
          ( ? [X: $i] :
              ( ? [W0: '$ki_world'] :
                  ( ( b @ W0 @ X )
                  & ( a @ W0 @ X )
                  & ( '$ki_accessible' @ W @ W0 ) )
              & ( '$ki_exists_in_world_$i' @ W @ X ) )
          & ( '$ki_accessible' @ '$ki_local_world' @ W ) ) ),
    inference('cnf.neg',[status(esa)],[verify]) ).

thf(zip_derived_cl7,plain,
    ! [X1: '$ki_world',X2: $i] :
      ( ~ ( '$ki_exists_in_world_$i' @ X1 @ X2 )
      | ( '$ki_accessible' @ X1 @ ( sk__1 @ X2 @ X1 ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X1: '$ki_world',X2: $i] :
      ( ~ ( '$ki_exists_in_world_$i' @ X1 @ X2 )
      | ( b @ ( sk__1 @ X2 @ X1 ) @ X2 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: '$ki_world'] :
      ( ( a @ X0 @ sk__3 )
      | ~ ( '$ki_accessible' @ sk__2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X3: '$ki_world',X4: $i,X5: '$ki_world'] :
      ( ~ ( '$ki_exists_in_world_$i' @ X3 @ X4 )
      | ~ ( b @ X5 @ X4 )
      | ~ ( a @ X5 @ X4 )
      | ~ ( '$ki_accessible' @ X3 @ X5 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ sk__2 @ X1 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ~ ( '$ki_accessible' @ X0 @ X1 )
      | ~ ( b @ X1 @ sk__3 )
      | ~ ( '$ki_exists_in_world_$i' @ X0 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
      | ~ ( '$ki_exists_in_world_$i' @ X1 @ sk__3 )
      | ~ ( '$ki_exists_in_world_$i' @ X0 @ sk__3 )
      | ~ ( '$ki_accessible' @ X0 @ ( sk__1 @ sk__3 @ X1 ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ~ ( '$ki_accessible' @ sk__2 @ ( sk__1 @ sk__3 @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).

thf(zip_derived_cl25,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_exists_in_world_$i' @ sk__2 @ sk__3 )
      | ~ ( '$ki_exists_in_world_$i' @ X0 @ sk__3 )
      | ~ ( '$ki_accessible' @ X0 @ ( sk__1 @ sk__3 @ sk__2 ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ~ ( '$ki_accessible' @ sk__2 @ ( sk__1 @ sk__3 @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl11]) ).

thf(zip_derived_cl4,plain,
    '$ki_exists_in_world_$i' @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_exists_in_world_$i' @ X0 @ sk__3 )
      | ~ ( '$ki_accessible' @ X0 @ ( sk__1 @ sk__3 @ sk__2 ) )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ~ ( '$ki_accessible' @ sk__2 @ ( sk__1 @ sk__3 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl4]) ).

thf(zip_derived_cl29,plain,
    ( ~ ( '$ki_accessible' @ '$ki_local_world' @ sk__2 )
    | ~ ( '$ki_accessible' @ sk__2 @ ( sk__1 @ sk__3 @ sk__2 ) )
    | ~ ( '$ki_exists_in_world_$i' @ sk__2 @ sk__3 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl6_001,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_002,plain,
    '$ki_exists_in_world_$i' @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    ~ ( '$ki_accessible' @ sk__2 @ ( sk__1 @ sk__3 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl6,zip_derived_cl4]) ).

thf(zip_derived_cl32,plain,
    ( ~ ( '$ki_accessible' @ '$ki_local_world' @ sk__2 )
    | ~ ( '$ki_exists_in_world_$i' @ sk__2 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl30]) ).

thf(zip_derived_cl6_003,plain,
    '$ki_accessible' @ '$ki_local_world' @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_004,plain,
    '$ki_exists_in_world_$i' @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl6,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SYO889_16 : TPTP v8.2.0. Released v8.2.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O22bStwA4E true
% 0.14/0.35  % Computer : n031.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 07:18:07 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % Solved by fo/fo6_bce.sh.
% 0.22/0.76  % BCE start: 10
% 0.22/0.76  % BCE eliminated: 0
% 0.22/0.76  % PE start: 10
% 0.22/0.76  logic: neq
% 0.22/0.76  % PE eliminated: 2
% 0.22/0.76  % done 11 iterations in 0.012s
% 0.22/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.76  % SZS output start Refutation
% See solution above
% 0.22/0.76  
% 0.22/0.76  
% 0.22/0.76  % Terminating...
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.45/0.85  % Runner terminated.
% 1.63/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------