TSTP Solution File: SYO901_11 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO901_11 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5GmupYcwwv true

% Computer : n008.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 05:53:14 EDT 2023

% Result   : Theorem 0.23s 0.75s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   43 (  10 unt;  12 typ;   0 def)
%            Number of atoms       :   76 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  190 (  24   ~;  24   |;   0   &; 121   @)
%                                         (   8 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   56 (   0   ^;  56   !;   0   ?;  56   :)

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

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: '$ki_world' > '$ki_world' > $o ).

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

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

thf(q_type,type,
    q: '$ki_world' > $o ).

thf(sk__type,type,
    sk_: '$ki_world' ).

thf(p_type,type,
    p: '$ki_world' > $o ).

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

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

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: '$ki_world' > '$ki_world' > $o ).

thf(verify,conjecture,
    ( ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '$ki_local_world' @ W )
       => ( ( p @ W )
        <=> ( q @ W ) ) )
   => ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '$ki_local_world' @ W )
       => ( ! [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
             => ( p @ W0 ) )
        <=> ! [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
             => ( q @ W0 ) ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [W0: '$ki_world',W: '$ki_world'] :
      ( ( zip_tseitin_1 @ W0 @ W )
    <=> ( ( '$ki_accessible' @ W @ W0 )
       => ( q @ W0 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( zip_tseitin_1 @ X0 @ X1 )
      | ~ ( q @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,type,
    zip_tseitin_1: '$ki_world' > '$ki_world' > $o ).

thf(zf_stmt_2,type,
    zip_tseitin_0: '$ki_world' > '$ki_world' > $o ).

thf(zf_stmt_3,axiom,
    ! [W0: '$ki_world',W: '$ki_world'] :
      ( ( zip_tseitin_0 @ W0 @ W )
    <=> ( ( '$ki_accessible' @ W @ W0 )
       => ( p @ W0 ) ) ) ).

thf(zf_stmt_4,conjecture,
    ( ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '$ki_local_world' @ W )
       => ( ( p @ W )
        <=> ( q @ W ) ) )
   => ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '$ki_local_world' @ W )
       => ( ! [W0: '$ki_world'] : ( zip_tseitin_0 @ W0 @ W )
        <=> ! [W0: '$ki_world'] : ( zip_tseitin_1 @ W0 @ W ) ) ) ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ( ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( ( p @ W )
          <=> ( q @ W ) ) )
     => ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ( ! [W0: '$ki_world'] : ( zip_tseitin_0 @ W0 @ W )
          <=> ! [W0: '$ki_world'] : ( zip_tseitin_1 @ W0 @ W ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl10,plain,
    ( ~ ( zip_tseitin_1 @ sk__1 @ sk_ )
    | ~ ( zip_tseitin_0 @ sk__2 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl25,plain,
    ( ~ ( q @ sk__1 )
    | ~ ( zip_tseitin_0 @ sk__2 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl10]) ).

thf(zip_derived_cl9,plain,
    ! [X1: '$ki_world',X2: '$ki_world'] :
      ( ( zip_tseitin_1 @ X1 @ sk_ )
      | ( zip_tseitin_0 @ X2 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl4,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ X0 @ X1 )
      | ( q @ X1 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( zip_tseitin_0 @ X1 @ sk_ )
      | ( q @ X0 )
      | ~ ( '$ki_accessible' @ sk_ @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl4]) ).

thf(mrel_universal,axiom,
    ! [W: '$ki_world',V: '$ki_world'] : ( '$ki_accessible' @ W @ V ) ).

thf(zip_derived_cl0,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl35,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( zip_tseitin_0 @ X1 @ sk_ )
      | ( q @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ X0 @ X1 )
      | ( p @ X1 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl8,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( p @ X0 )
      | ( q @ X0 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl17,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( zip_tseitin_0 @ X0 @ X1 )
      | ~ ( '$ki_accessible' @ X1 @ X0 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 )
      | ( q @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl33,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( zip_tseitin_0 @ X0 @ X1 )
      | ( q @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl36,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( q @ X1 )
      | ( q @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl33]) ).

thf(zip_derived_cl38,plain,
    ! [X0: '$ki_world'] : ( q @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl39,plain,
    ~ ( zip_tseitin_0 @ sk__2 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl38]) ).

thf(zip_derived_cl7,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( q @ X0 )
      | ( p @ X0 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl2,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ~ ( p @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl18,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X1 )
      | ~ ( q @ X1 )
      | ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl31,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( q @ X1 )
      | ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl0]) ).

thf(zip_derived_cl38_004,plain,
    ! [X0: '$ki_world'] : ( q @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl40,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( zip_tseitin_0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl38]) ).

thf(zip_derived_cl41,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl40]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem  : SYO901_11 : TPTP v8.2.0. Released v8.2.0.
% 0.14/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5GmupYcwwv true
% 0.15/0.37  % Computer : n008.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Sat Aug 26 02:11:02 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.23/0.66  % Total configuration time : 435
% 0.23/0.66  % Estimated wc time : 1092
% 0.23/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75  % Solved by fo/fo6_bce.sh.
% 0.23/0.75  % BCE start: 12
% 0.23/0.75  % BCE eliminated: 0
% 0.23/0.75  % PE start: 12
% 0.23/0.75  logic: neq
% 0.23/0.75  % PE eliminated: 3
% 0.23/0.75  % done 11 iterations in 0.008s
% 0.23/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.23/0.75  % SZS output start Refutation
% See solution above
% 0.23/0.75  
% 0.23/0.75  
% 0.23/0.76  % Terminating...
% 1.45/0.86  % Runner terminated.
% 1.45/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------