TSTP Solution File: SEV241^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV241^5 : 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.tlCJdh90Iu true

% Computer : n024.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 20:00:09 EDT 2023

% Result   : Theorem 0.22s 0.74s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   81 (  23 equ;   0 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :   67 (   7   ~;  11   |;   5   &;  30   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   3 con; 0-2 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   10 (   4   ^;   6   !;   0   ?;  10   :)

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

thf(cU_type,type,
    cU: a > $o ).

thf('#sk1_type',type,
    '#sk1': a ).

thf('#sk2_type',type,
    '#sk2': a > $o ).

thf(cW_type,type,
    cW: a > $o ).

thf(cX5201A_pme,conjecture,
    ! [Xx: a] :
      ( ( ( cW @ Xx )
        & ( cU @ Xx ) )
     => ! [S: a > $o] :
          ( ( ( S = cW )
            | ( S = cU ) )
         => ( S @ Xx ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xx: a] :
        ( ( ( cW @ Xx )
          & ( cU @ Xx ) )
       => ! [S: a > $o] :
            ( ( ( S = cW )
              | ( S = cU ) )
           => ( S @ Xx ) ) ),
    inference('cnf.neg',[status(esa)],[cX5201A_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( ( ( cW @ Y0 )
            & ( cU @ Y0 ) )
         => ( !!
            @ ^ [Y1: a > $o] :
                ( ( ( Y1 = cW )
                  | ( Y1 = cU ) )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( ( ( cW @ '#sk1' )
        & ( cU @ '#sk1' ) )
     => ( !!
        @ ^ [Y0: a > $o] :
            ( ( ( Y0 = cW )
              | ( Y0 = cU ) )
           => ( Y0 @ '#sk1' ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( ( ( Y0 = cW )
            | ( Y0 = cU ) )
         => ( Y0 @ '#sk1' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ~ ( ( ( '#sk2' = cW )
        | ( '#sk2' = cU ) )
     => ( '#sk2' @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ~ ( '#sk2' @ '#sk1' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl7,plain,
    ( ( '#sk2' = cW )
    | ( '#sk2' = cU ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    ( ( '#sk2' = cW )
    | ( '#sk2' = cU ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl10,plain,
    ( ( '#sk2' = cW )
    | ( '#sk2' = cU ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    ! [X1: a] :
      ( ( ( '#sk2' @ X1 )
        = ( cU @ X1 ) )
      | ( '#sk2' = cW ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl2,plain,
    ( ( cW @ '#sk1' )
    & ( cU @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    cU @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl12,plain,
    ( ( '#sk2' @ '#sk1' )
    | ( '#sk2' = cW ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl5]) ).

thf(zip_derived_cl8_001,plain,
    ~ ( '#sk2' @ '#sk1' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl17,plain,
    '#sk2' = cW,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl8]) ).

thf(zip_derived_cl19,plain,
    ! [X1: a] :
      ( ( '#sk2' @ X1 )
      = ( cW @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl4,plain,
    cW @ '#sk1',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl20,plain,
    '#sk2' @ '#sk1',
    inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl4]) ).

thf(zip_derived_cl25,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl20]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SEV241^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tlCJdh90Iu true
% 0.14/0.35  % Computer : n024.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 : Thu Aug 24 03:07:25 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.22/0.65  % Total configuration time : 828
% 0.22/0.65  % Estimated wc time : 1656
% 0.22/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.74  % Solved by lams/35_full_unif4.sh.
% 0.22/0.74  % done 8 iterations in 0.011s
% 0.22/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.74  % SZS output start Refutation
% See solution above
% 0.22/0.74  
% 0.22/0.74  
% 0.22/0.74  % Terminating...
% 1.59/0.85  % Runner terminated.
% 1.59/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------