TSTP Solution File: SET612^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET612^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HmzllgCIfu true

% Computer : n028.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 16:15:01 EDT 2023

% Result   : Theorem 1.10s 0.77s
% Output   : Refutation 1.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   20 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   67 (  16   ~;  12   |;   6   &;  31   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

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

thf(sk__1_type,type,
    sk__1: a > $o ).

thf(sk__2_type,type,
    sk__2: a > $o ).

thf(sk__type,type,
    sk_: a > $o ).

thf(sk__3_type,type,
    sk__3: a ).

thf(cBOOL_PROP_85_pme,conjecture,
    ! [X: a > $o,Y: a > $o,Z: a > $o,Xx: a] :
      ( ( ( X @ Xx )
        & ~ ( ( Y @ Xx )
            | ( Z @ Xx ) ) )
    <=> ( ~ ( Z @ Xx )
        & ( X @ Xx )
        & ~ ( Y @ Xx ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a > $o,Y: a > $o,Z: a > $o,Xx: a] :
        ( ( ( X @ Xx )
          & ~ ( ( Y @ Xx )
              | ( Z @ Xx ) ) )
      <=> ( ~ ( Z @ Xx )
          & ( X @ Xx )
          & ~ ( Y @ Xx ) ) ),
    inference('cnf.neg',[status(esa)],[cBOOL_PROP_85_pme]) ).

thf(zip_derived_cl1,plain,
    ( ~ ( sk__2 @ sk__3 )
    | ~ ( sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ~ ( sk__2 @ sk__3 ),
    inference(simplify,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl9,plain,
    ( ( sk__1 @ sk__3 )
    | ~ ( sk_ @ sk__3 )
    | ( sk__2 @ sk__3 )
    | ( sk__1 @ sk__3 )
    | ( sk__2 @ sk__3 )
    | ~ ( sk_ @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ( ( sk__2 @ sk__3 )
    | ~ ( sk_ @ sk__3 )
    | ( sk__1 @ sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl3,plain,
    ( ( sk_ @ sk__3 )
    | ( sk_ @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    sk_ @ sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ( ~ ( sk__1 @ sk__3 )
    | ~ ( sk__1 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ~ ( sk__1 @ sk__3 ),
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl20,plain,
    sk__2 @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl10,zip_derived_cl18]) ).

thf(zip_derived_cl21,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl20]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET612^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HmzllgCIfu true
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 16:10:52 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.10/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.10/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.10/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.10/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.10/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.10/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.10/0.77  % Solved by lams/40_c.s.sh.
% 1.10/0.77  % done 9 iterations in 0.006s
% 1.10/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.10/0.77  % SZS output start Refutation
% See solution above
% 1.10/0.77  
% 1.10/0.77  
% 1.10/0.77  % Terminating...
% 1.54/0.86  % Runner terminated.
% 1.54/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------