↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET584^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OwXyrhNbjB true

% Computer : n014.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 Oct  2 04:52:17 PM UTC 2025

% Result   : Theorem 1.04s 0.68s
% Output   : Refutation 1.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   19 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   53 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  145 (  11   ~;  20   |;   0   &;  76   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-1 aty)
%                                         (  16  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   28 (  16   ^;  12   !;   0   ?;  28   :)

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

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

thf('#sk3_type',type,
    '#sk3': a > $o ).

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

thf('#sk4_type',type,
    '#sk4': a ).

thf(cBOOL_PROP_33_pme,conjecture,
    ! [X: a > $o,Y: a > $o,Z: a > $o] :
      ( ! [Xx: a] :
          ( ( X @ Xx )
         => ( Y @ Xx ) )
     => ! [Xx: a] :
          ( ( ( Z @ Xx )
            | ( X @ Xx ) )
         => ( ( Z @ Xx )
            | ( Y @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a > $o,Y: a > $o,Z: a > $o] :
        ( ! [Xx: a] :
            ( ( X @ Xx )
           => ( Y @ Xx ) )
       => ! [Xx: a] :
            ( ( ( Z @ Xx )
              | ( X @ Xx ) )
           => ( ( Z @ Xx )
              | ( Y @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBOOL_PROP_33_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( !!
              @ ^ [Y2: a > $o] :
                  ( ( !!
                    @ ^ [Y3: a] :
                        ( ( Y0 @ Y3 )
                       => ( Y1 @ Y3 ) ) )
                 => ( !!
                    @ ^ [Y3: a] :
                        ( ( ( Y2 @ Y3 )
                          | ( Y0 @ Y3 ) )
                       => ( ( Y2 @ Y3 )
                          | ( Y1 @ Y3 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( ( !!
                @ ^ [Y2: a] :
                    ( ( '#sk1' @ Y2 )
                   => ( Y0 @ Y2 ) ) )
             => ( !!
                @ ^ [Y2: a] :
                    ( ( ( Y1 @ Y2 )
                      | ( '#sk1' @ Y2 ) )
                   => ( ( Y1 @ Y2 )
                      | ( Y0 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( ( !!
            @ ^ [Y1: a] :
                ( ( '#sk1' @ Y1 )
               => ( '#sk2' @ Y1 ) ) )
         => ( !!
            @ ^ [Y1: a] :
                ( ( ( Y0 @ Y1 )
                  | ( '#sk1' @ Y1 ) )
               => ( ( Y0 @ Y1 )
                  | ( '#sk2' @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( ( !!
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 )
           => ( '#sk2' @ Y0 ) ) )
     => ( !!
        @ ^ [Y0: a] :
            ( ( ( '#sk3' @ Y0 )
              | ( '#sk1' @ Y0 ) )
           => ( ( '#sk3' @ Y0 )
              | ( '#sk2' @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( ( ( '#sk3' @ Y0 )
            | ( '#sk1' @ Y0 ) )
         => ( ( '#sk3' @ Y0 )
            | ( '#sk2' @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ~ ( ( ( '#sk3' @ '#sk4' )
        | ( '#sk1' @ '#sk4' ) )
     => ( ( '#sk3' @ '#sk4' )
        | ( '#sk2' @ '#sk4' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ~ ( ( '#sk3' @ '#sk4' )
      | ( '#sk2' @ '#sk4' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl13,plain,
    ~ ( '#sk2' @ '#sk4' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl9,plain,
    ( ( '#sk3' @ '#sk4' )
    | ( '#sk1' @ '#sk4' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    ( ( '#sk3' @ '#sk4' )
    | ( '#sk1' @ '#sk4' ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl12,plain,
    ~ ( '#sk3' @ '#sk4' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl14,plain,
    '#sk1' @ '#sk4',
    inference(clc,[status(thm)],[zip_derived_cl11,zip_derived_cl12]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: a] :
        ( ( '#sk1' @ Y0 )
       => ( '#sk2' @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X2: a] :
      ( ( '#sk1' @ X2 )
     => ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 )
      | ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl15,plain,
    '#sk2' @ '#sk4',
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl8]) ).

thf(zip_derived_cl17,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET584^5 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OwXyrhNbjB true
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 13:09:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in HO mode
% 0.20/0.60  % Total configuration time : 828
% 0.20/0.60  % Estimated wc time : 1656
% 0.20/0.60  % Estimated cpu time (8 cpus) : 207.0
% 1.04/0.64  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.04/0.65  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.04/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.04/0.68  % Solved by lams/35_full_unif4.sh.
% 1.04/0.68  % done 4 iterations in 0.009s
% 1.04/0.68  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.04/0.68  % SZS output start Refutation
% See solution above
% 1.04/0.68  
% 1.04/0.68  
% 1.04/0.68  % Terminating...
% 1.51/0.79  % Runner terminated.
% 1.51/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------