TSTP Solution File: SEV397^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV397^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eAuB0SuZ0q true

% Computer : n010.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 20:00:39 EDT 2023

% Result   : Theorem 0.19s 0.66s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   51 (  13 unt;  11 typ;   0 def)
%            Number of atoms       :   87 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  159 (  26   ~;  36   |;   5   &;  86   @)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   2 con; 0-1 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(cY_type,type,
    cY: a > $o ).

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

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: a > $o ).

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

thf(cX_type,type,
    cX: a > $o ).

thf(cZ_type,type,
    cZ: a > $o ).

thf(sk__type,type,
    sk_: a ).

thf(cTHM59_pme,conjecture,
    ! [Xx: a] :
      ( ( ( cZ @ Xx )
        | ( ( cY @ Xx )
          & ( cX @ Xx ) ) )
    <=> ( ( ( cZ @ Xx )
          | ( cY @ Xx ) )
        & ( ( cZ @ Xx )
          | ( cX @ Xx ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_2: a > $o ).

thf(zf_stmt_1,axiom,
    ! [Xx: a] :
      ( ( zip_tseitin_2 @ Xx )
    <=> ( ( cX @ Xx )
        | ( cZ @ Xx ) ) ) ).

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

thf(zf_stmt_3,axiom,
    ! [Xx: a] :
      ( ( zip_tseitin_1 @ Xx )
    <=> ( ( cY @ Xx )
        | ( cZ @ Xx ) ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_0: a > $o ).

thf(zf_stmt_5,axiom,
    ! [Xx: a] :
      ( ( zip_tseitin_0 @ Xx )
    <=> ( ( cX @ Xx )
        & ( cY @ Xx ) ) ) ).

thf(zf_stmt_6,conjecture,
    ! [Xx: a] :
      ( ( ( zip_tseitin_0 @ Xx )
        | ( cZ @ Xx ) )
    <=> ( ( zip_tseitin_2 @ Xx )
        & ( zip_tseitin_1 @ Xx ) ) ) ).

thf(zf_stmt_7,negated_conjecture,
    ~ ! [Xx: a] :
        ( ( ( zip_tseitin_0 @ Xx )
          | ( cZ @ Xx ) )
      <=> ( ( zip_tseitin_2 @ Xx )
          & ( zip_tseitin_1 @ Xx ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl12,plain,
    ( ~ ( zip_tseitin_1 @ sk_ )
    | ~ ( zip_tseitin_2 @ sk_ )
    | ~ ( zip_tseitin_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl10,plain,
    ( ( zip_tseitin_1 @ sk_ )
    | ( cZ @ sk_ )
    | ( zip_tseitin_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl11,plain,
    ( ~ ( zip_tseitin_1 @ sk_ )
    | ~ ( zip_tseitin_2 @ sk_ )
    | ~ ( cZ @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl5,plain,
    ! [X0: a] :
      ( ( zip_tseitin_1 @ X0 )
      | ~ ( cZ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( cZ @ sk_ )
    | ~ ( zip_tseitin_2 @ sk_ ) ),
    inference(clc,[status(thm)],[zip_derived_cl11,zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ! [X0: a] :
      ( ( zip_tseitin_2 @ X0 )
      | ~ ( cZ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl22,plain,
    ~ ( cZ @ sk_ ),
    inference(clc,[status(thm)],[zip_derived_cl21,zip_derived_cl8]) ).

thf(zip_derived_cl24,plain,
    ( ( zip_tseitin_1 @ sk_ )
    | ( zip_tseitin_0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl22]) ).

thf(zip_derived_cl4,plain,
    ! [X0: a] :
      ( ( zip_tseitin_1 @ X0 )
      | ~ ( cY @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl1,plain,
    ! [X0: a] :
      ( ( cY @ X0 )
      | ~ ( zip_tseitin_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl13,plain,
    ! [X0: a] :
      ( ( zip_tseitin_1 @ X0 )
      | ~ ( zip_tseitin_0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).

thf(zip_derived_cl41,plain,
    zip_tseitin_1 @ sk_,
    inference(clc,[status(thm)],[zip_derived_cl24,zip_derived_cl13]) ).

thf(zip_derived_cl9,plain,
    ( ( zip_tseitin_2 @ sk_ )
    | ( cZ @ sk_ )
    | ( zip_tseitin_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl22_001,plain,
    ~ ( cZ @ sk_ ),
    inference(clc,[status(thm)],[zip_derived_cl21,zip_derived_cl8]) ).

thf(zip_derived_cl23,plain,
    ( ( zip_tseitin_2 @ sk_ )
    | ( zip_tseitin_0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl22]) ).

thf(zip_derived_cl6,plain,
    ! [X0: a] :
      ( ( cZ @ X0 )
      | ( cX @ X0 )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl37,plain,
    ( ( zip_tseitin_0 @ sk_ )
    | ( cX @ sk_ )
    | ( cZ @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl6]) ).

thf(zip_derived_cl22_002,plain,
    ~ ( cZ @ sk_ ),
    inference(clc,[status(thm)],[zip_derived_cl21,zip_derived_cl8]) ).

thf(zip_derived_cl39,plain,
    ( ( zip_tseitin_0 @ sk_ )
    | ( cX @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl22]) ).

thf(zip_derived_cl0,plain,
    ! [X0: a] :
      ( ( cX @ X0 )
      | ~ ( zip_tseitin_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl50,plain,
    cX @ sk_,
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: a] :
      ( ( zip_tseitin_2 @ X0 )
      | ~ ( cX @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl51,plain,
    zip_tseitin_2 @ sk_,
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl7]) ).

thf(zip_derived_cl67,plain,
    ~ ( zip_tseitin_0 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl41,zip_derived_cl51]) ).

thf(zip_derived_cl2,plain,
    ! [X0: a] :
      ( ( zip_tseitin_0 @ X0 )
      | ~ ( cY @ X0 )
      | ~ ( cX @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl50_003,plain,
    cX @ sk_,
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl0]) ).

thf(zip_derived_cl54,plain,
    ( ~ ( cY @ sk_ )
    | ( zip_tseitin_0 @ sk_ ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl50]) ).

thf(zip_derived_cl41_004,plain,
    zip_tseitin_1 @ sk_,
    inference(clc,[status(thm)],[zip_derived_cl24,zip_derived_cl13]) ).

thf(zip_derived_cl3,plain,
    ! [X0: a] :
      ( ( cZ @ X0 )
      | ( cY @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl42,plain,
    ( ( cY @ sk_ )
    | ( cZ @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl3]) ).

thf(zip_derived_cl22_005,plain,
    ~ ( cZ @ sk_ ),
    inference(clc,[status(thm)],[zip_derived_cl21,zip_derived_cl8]) ).

thf(zip_derived_cl44,plain,
    cY @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl22]) ).

thf(zip_derived_cl59,plain,
    zip_tseitin_0 @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl44]) ).

thf(zip_derived_cl68,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV397^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eAuB0SuZ0q true
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug 24 02:20:05 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.19/0.35  % Running in HO mode
% 0.19/0.58  % Total configuration time : 828
% 0.19/0.58  % Estimated wc time : 1656
% 0.19/0.58  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.62  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.63  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.66  % Solved by lams/40_c.s.sh.
% 0.19/0.66  % done 34 iterations in 0.014s
% 0.19/0.66  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.19/0.66  % SZS output start Refutation
% See solution above
% 0.19/0.66  
% 0.19/0.66  
% 0.19/0.66  % Terminating...
% 0.19/0.69  % Runner terminated.
% 0.19/0.70  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------