TSTP Solution File: PUZ149_13 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ149_13 : 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.5qOlQkRmmy true

% Computer : n026.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 13:31:22 EDT 2023

% Result   : Theorem 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   37 (  10 unt;  11 typ;   0 def)
%            Number of atoms       :   60 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  189 (  30   ~;  20   |;   9   &; 125   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   8 con; 0-3 aty)
%            Number of variables   :   23 (   0   ^;  16   !;   7   ?;  23   :)

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

thf('$ki_index_type',type,
    '$ki_index': $tType ).

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

thf('#idx(make_c)_type',type,
    '#idx(make_c)': '$ki_index' ).

thf('#idx(pour_a)_type',type,
    '#idx(pour_a)': '$ki_index' ).

thf(acid_type,type,
    acid: '$ki_world' > $o ).

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

thf('#idx(pour_b)_type',type,
    '#idx(pour_b)': '$ki_index' ).

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

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

thf(sk__8_type,type,
    sk__8: '$ki_world' ).

thf(make_c_acid,axiom,
    ? [W: '$ki_world'] :
      ( ( acid @ W )
      & ( '$ki_accessible' @ '#idx(make_c)' @ '$ki_local_world' @ W ) ) ).

thf(zip_derived_cl13,plain,
    '$ki_accessible' @ '#idx(make_c)' @ '$ki_local_world' @ sk__8,
    inference(cnf,[status(esa)],[make_c_acid]) ).

thf(pour_ab_make_axiom_2,axiom,
    ( ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ W )
       => ! [W0: '$ki_world'] :
            ( ( '$ki_accessible' @ '#idx(pour_b)' @ W @ W0 )
           => ~ ( acid @ W0 ) ) )
   => ! [W: '$ki_world'] :
        ( ( '$ki_accessible' @ '#idx(make_c)' @ '$ki_local_world' @ W )
       => ~ ( acid @ W ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '#idx(make_c)' @ '$ki_local_world' @ X0 )
      | ~ ( acid @ X0 )
      | ( '$ki_accessible' @ '#idx(pour_b)' @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[pour_ab_make_axiom_2]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( acid @ sk__8 )
    | ( '$ki_accessible' @ '#idx(pour_b)' @ sk__2 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(zip_derived_cl14,plain,
    acid @ sk__8,
    inference(cnf,[status(esa)],[make_c_acid]) ).

thf(zip_derived_cl32,plain,
    '$ki_accessible' @ '#idx(pour_b)' @ sk__2 @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl14]) ).

thf(verify,conjecture,
    ( ? [W: '$ki_world'] :
        ( ~ ( acid @ W )
        & ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ W ) )
    & ? [W: '$ki_world'] :
        ( ? [W0: '$ki_world'] :
            ( ( acid @ W0 )
            & ( '$ki_accessible' @ '#idx(pour_b)' @ W @ W0 ) )
        & ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ W ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ? [W: '$ki_world'] :
          ( ~ ( acid @ W )
          & ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ W ) )
      & ? [W: '$ki_world'] :
          ( ? [W0: '$ki_world'] :
              ( ( acid @ W0 )
              & ( '$ki_accessible' @ '#idx(pour_b)' @ W @ W0 ) )
          & ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ W ) ) ),
    inference('cnf.neg',[status(esa)],[verify]) ).

thf(zip_derived_cl15,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ X0 )
      | ( acid @ X0 )
      | ~ ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ X1 )
      | ~ ( acid @ X2 )
      | ~ ( '$ki_accessible' @ '#idx(pour_b)' @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(pour_a_acid,axiom,
    ! [W: '$ki_world'] :
      ( ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ W )
     => ~ ( acid @ W ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( acid @ X0 )
      | ~ ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ X0 ) ),
    inference(cnf,[status(esa)],[pour_a_acid]) ).

thf(zip_derived_cl33,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '#idx(pour_b)' @ X1 @ X2 )
      | ~ ( acid @ X2 )
      | ~ ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ X1 )
      | ~ ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl12]) ).

thf(zip_derived_cl34,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '#idx(pour_b)' @ X1 @ X0 )
      | ~ ( acid @ X0 )
      | ~ ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl36,plain,
    ( ~ ( acid @ sk__3 )
    | ~ ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl34]) ).

thf(zip_derived_cl13_001,plain,
    '$ki_accessible' @ '#idx(make_c)' @ '$ki_local_world' @ sk__8,
    inference(cnf,[status(esa)],[make_c_acid]) ).

thf(zip_derived_cl4,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '#idx(make_c)' @ '$ki_local_world' @ X0 )
      | ~ ( acid @ X0 )
      | ( acid @ sk__3 ) ),
    inference(cnf,[status(esa)],[pour_ab_make_axiom_2]) ).

thf(zip_derived_cl18,plain,
    ( ~ ( acid @ sk__8 )
    | ( acid @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4]) ).

thf(zip_derived_cl14_002,plain,
    acid @ sk__8,
    inference(cnf,[status(esa)],[make_c_acid]) ).

thf(zip_derived_cl19,plain,
    acid @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl14]) ).

thf(zip_derived_cl13_003,plain,
    '$ki_accessible' @ '#idx(make_c)' @ '$ki_local_world' @ sk__8,
    inference(cnf,[status(esa)],[make_c_acid]) ).

thf(zip_derived_cl3,plain,
    ! [X0: '$ki_world'] :
      ( ~ ( '$ki_accessible' @ '#idx(make_c)' @ '$ki_local_world' @ X0 )
      | ~ ( acid @ X0 )
      | ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ sk__2 ) ),
    inference(cnf,[status(esa)],[pour_ab_make_axiom_2]) ).

thf(zip_derived_cl26,plain,
    ( ~ ( acid @ sk__8 )
    | ( '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).

thf(zip_derived_cl14_004,plain,
    acid @ sk__8,
    inference(cnf,[status(esa)],[make_c_acid]) ).

thf(zip_derived_cl27,plain,
    '$ki_accessible' @ '#idx(pour_a)' @ '$ki_local_world' @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl14]) ).

thf(zip_derived_cl37,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl19,zip_derived_cl27]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ149_13 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5qOlQkRmmy true
% 0.16/0.34  % Computer : n026.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Sat Aug 26 22:54:18 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34  % Number of cores: 8
% 0.16/0.34  % Python version: Python 3.6.8
% 0.16/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73  % Solved by fo/fo6_bce.sh.
% 0.20/0.73  % BCE start: 16
% 0.20/0.73  % BCE eliminated: 2
% 0.20/0.73  % PE start: 14
% 0.20/0.73  logic: neq
% 0.20/0.73  % PE eliminated: 0
% 0.20/0.73  % done 19 iterations in 0.012s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% See solution above
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  % Terminating...
% 1.31/0.83  % Runner terminated.
% 1.31/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------