TSTP Solution File: SYO268^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO268^5 : 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.DgDlTpPQOF true

% Computer : n009.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 05:50:31 EDT 2023

% Result   : Theorem 0.79s 0.76s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (   4 unt;   7 typ;   0 def)
%            Number of atoms       :   20 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   80 (   7   ~;   6   |;   0   &;  61   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   29 (   0   ^;  21   !;   8   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(a_type,type,
    a: $tType ).

thf(sk__1_type,type,
    sk__1: a > b ).

thf(sk__3_type,type,
    sk__3: a ).

thf(sk__2_type,type,
    sk__2: ( a > b ) > a ).

thf(r_type,type,
    r: a > b > $o ).

thf(sk__type,type,
    sk_: a > b ).

thf(cX5308,conjecture,
    ( ? [Xj: ( b > $o ) > b] :
      ! [Xp: b > $o] :
        ( ? [Xx: b] : ( Xp @ Xx )
       => ( Xp @ ( Xj @ Xp ) ) )
   => ( ! [Xx: a] :
        ? [Xy: b] : ( r @ Xx @ Xy )
    <=> ? [Xf: a > b] :
        ! [Xx: a] : ( r @ Xx @ ( Xf @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ? [Xj: ( b > $o ) > b] :
        ! [Xp: b > $o] :
          ( ? [Xx: b] : ( Xp @ Xx )
         => ( Xp @ ( Xj @ Xp ) ) )
     => ( ! [Xx: a] :
          ? [Xy: b] : ( r @ Xx @ Xy )
      <=> ? [Xf: a > b] :
          ! [Xx: a] : ( r @ Xx @ ( Xf @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cX5308]) ).

thf(zip_derived_cl2,plain,
    ! [X4: a,X5: a] :
      ( ( r @ X4 @ ( sk_ @ X4 ) )
      | ( r @ X5 @ ( sk__1 @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_001,plain,
    ! [X4: a,X5: a] :
      ( ( r @ X4 @ ( sk_ @ X4 ) )
      | ( r @ X5 @ ( sk__1 @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X2: a > b,X3: b] :
      ( ~ ( r @ ( sk__2 @ X2 ) @ ( X2 @ ( sk__2 @ X2 ) ) )
      | ~ ( r @ sk__3 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: b,X1: a] :
      ( ( r @ X1 @ ( sk_ @ X1 ) )
      | ~ ( r @ sk__3 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ! [X0: a,X1: a] :
      ( ( r @ X1 @ ( sk_ @ X1 ) )
      | ( r @ X0 @ ( sk_ @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl13,plain,
    ! [X0: a] : ( r @ X0 @ ( sk_ @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl13_002,plain,
    ! [X0: a] : ( r @ X0 @ ( sk_ @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl1_003,plain,
    ! [X2: a > b,X3: b] :
      ( ~ ( r @ ( sk__2 @ X2 ) @ ( X2 @ ( sk__2 @ X2 ) ) )
      | ~ ( r @ sk__3 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ! [X0: b] :
      ~ ( r @ sk__3 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).

thf(zip_derived_cl16,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYO268^5 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DgDlTpPQOF true
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 06:14:36 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.79/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.79/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.79/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.79/0.76  % Solved by lams/40_c.s.sh.
% 0.79/0.76  % done 5 iterations in 0.014s
% 0.79/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.79/0.76  % SZS output start Refutation
% See solution above
% 0.79/0.76  
% 0.79/0.76  
% 0.79/0.76  % Terminating...
% 0.79/0.78  % Runner terminated.
% 0.79/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------