TSTP Solution File: SYO893_11 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO893_11 : 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.NX3J2833bC 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 05:53:10 EDT 2023

% Result   : Theorem 0.22s 0.76s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   53 (  16 unt;  14 typ;   0 def)
%            Number of atoms       :   90 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  266 (  38   ~;  32   |;   7   &; 177   @)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :  106 (   0   ^;  98   !;   8   ?; 106   :)

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

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

thf(sk__3_type,type,
    sk__3: '$ki_world' > '$ki_world' ).

thf(sk__5_type,type,
    sk__5: '$ki_world' ).

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

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

thf(sk__4_type,type,
    sk__4: '$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: '$ki_world' > '$ki_world' ).

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

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

thf(verify,conjecture,
    ( ~ ! [W: '$ki_world'] :
          ( ( '$ki_accessible' @ '$ki_local_world' @ W )
         => ? [W0: '$ki_world'] :
              ( ( '$ki_accessible' @ W @ W0 )
              & ! [W1: '$ki_world'] :
                  ( ( '$ki_accessible' @ W0 @ W1 )
                 => ( p @ W1 ) ) ) )
  <=> ? [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '$ki_local_world' @ W )
        & ! [W0: '$ki_world'] :
            ( ( '$ki_accessible' @ W @ W0 )
           => ? [W1: '$ki_world'] :
                ( ( '$ki_accessible' @ W0 @ W1 )
                & ~ ( p @ W1 ) ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [W0: '$ki_world',W: '$ki_world'] :
      ( ( zip_tseitin_0 @ W0 @ W )
    <=> ( ! [W1: '$ki_world'] :
            ( ( '$ki_accessible' @ W0 @ W1 )
           => ( p @ W1 ) )
        & ( '$ki_accessible' @ W @ W0 ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ X0 @ X1 )
      | ( p @ X1 )
      | ~ ( zip_tseitin_0 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,axiom,
    ! [W0: '$ki_world',W: '$ki_world'] :
      ( ( zip_tseitin_1 @ W0 @ W )
    <=> ( ( '$ki_accessible' @ W @ W0 )
       => ? [W1: '$ki_world'] :
            ( ~ ( p @ W1 )
            & ( '$ki_accessible' @ W0 @ W1 ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ X0 @ X1 )
      | ~ ( p @ ( sk__1 @ X1 ) )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl15,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( zip_tseitin_0 @ X3 @ X2 )
      | ~ ( '$ki_accessible' @ X3 @ ( sk__1 @ X1 ) )
      | ~ ( zip_tseitin_1 @ X1 @ X0 )
      | ~ ( '$ki_accessible' @ X0 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).

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_cl0_001,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl25,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( zip_tseitin_0 @ X3 @ X2 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( ( zip_tseitin_1 @ X0 @ X1 )
      | ( p @ X2 )
      | ~ ( '$ki_accessible' @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ~ ( '$ki_accessible' @ X1 @ X0 )
      | ~ ( p @ ( sk_ @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ X2 @ ( sk_ @ X0 ) )
      | ( zip_tseitin_1 @ X2 @ X3 )
      | ~ ( '$ki_accessible' @ X1 @ X0 )
      | ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).

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_cl0_003,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl29,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ( zip_tseitin_1 @ X2 @ X3 )
      | ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl0,zip_derived_cl0]) ).

thf(zf_stmt_2,type,
    zip_tseitin_1: '$ki_world' > '$ki_world' > $o ).

thf(zf_stmt_3,type,
    zip_tseitin_0: '$ki_world' > '$ki_world' > $o ).

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

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

thf(zip_derived_cl9,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( zip_tseitin_1 @ X0 @ sk__4 )
      | ~ ( zip_tseitin_0 @ X1 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl32,plain,
    ! [X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ( zip_tseitin_1 @ X3 @ X2 )
      | ( zip_tseitin_1 @ X1 @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl9]) ).

thf(zip_derived_cl35,plain,
    ! [X0: '$ki_world'] : ( zip_tseitin_1 @ X0 @ sk__4 ),
    inference(condensation,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl29_004,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ( zip_tseitin_1 @ X2 @ X3 )
      | ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl25_005,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( zip_tseitin_0 @ X3 @ X2 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl30,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
      ( ( zip_tseitin_1 @ X5 @ X4 )
      | ~ ( zip_tseitin_1 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl25]) ).

thf(zip_derived_cl36,plain,
    ! [X1: '$ki_world',X2: '$ki_world'] : ( zip_tseitin_1 @ X2 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl30]) ).

thf(zip_derived_cl37,plain,
    ! [X2: '$ki_world',X3: '$ki_world'] :
      ~ ( zip_tseitin_0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl36]) ).

thf(zip_derived_cl13,plain,
    ! [X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '$ki_local_world' @ X2 )
      | ~ ( zip_tseitin_1 @ ( sk__2 @ X2 ) @ X2 )
      | ~ ( '$ki_accessible' @ '$ki_local_world' @ X3 )
      | ( zip_tseitin_0 @ ( sk__3 @ X3 ) @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl0_006,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl36_007,plain,
    ! [X1: '$ki_world',X2: '$ki_world'] : ( zip_tseitin_1 @ X2 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl30]) ).

thf(zip_derived_cl0_008,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl38,plain,
    ! [X3: '$ki_world'] : ( zip_tseitin_0 @ ( sk__3 @ X3 ) @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl0,zip_derived_cl36,zip_derived_cl0]) ).

thf(zip_derived_cl1_009,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ X0 @ X1 )
      | ( p @ X1 )
      | ~ ( zip_tseitin_0 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_010,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ~ ( '$ki_accessible' @ X1 @ X0 )
      | ~ ( p @ ( sk_ @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( zip_tseitin_0 @ X3 @ X2 )
      | ~ ( '$ki_accessible' @ X3 @ ( sk_ @ X0 ) )
      | ~ ( '$ki_accessible' @ X1 @ X0 )
      | ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).

thf(zip_derived_cl0_011,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : ( '$ki_accessible' @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl27,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world',X3: '$ki_world'] :
      ( ~ ( zip_tseitin_0 @ X3 @ X2 )
      | ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl39,plain,
    ! [X1: '$ki_world',X2: '$ki_world'] : ( zip_tseitin_0 @ X2 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl27]) ).

thf(zip_derived_cl40,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl39]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO893_11 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NX3J2833bC true
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 04:29:37 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /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
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % Solved by fo/fo3_bce.sh.
% 0.22/0.76  % BCE start: 14
% 0.22/0.76  % BCE eliminated: 0
% 0.22/0.76  % PE start: 14
% 0.22/0.76  logic: neq
% 0.22/0.76  % PE eliminated: 0
% 0.22/0.76  % done 18 iterations in 0.011s
% 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...
% 1.43/0.84  % Runner terminated.
% 1.43/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------