TSTP Solution File: SET619^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET619^5 : 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.kUEShhW6TN true

% Computer : n023.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 16:15:04 EDT 2023

% Result   : Theorem 0.52s 0.68s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (  12 unt;   4 typ;   0 def)
%            Number of atoms       :   91 (  11 equ;  16 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives :  194 (  30   ~;  32   |;  30   &;  99   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   3 usr;   5 con; 0-2 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   19 (  15   ^;   4   !;   0   ?;  19   :)

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

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

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

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

thf(cBOOL_PROP_95_pme,conjecture,
    ! [X: a > $o,Y: a > $o] :
      ( ( ^ [Xz: a] :
            ( ( Y @ Xz )
            | ( X @ Xz ) ) )
      = ( ^ [Xz: a] :
            ( ( ( Y @ Xz )
              & ( X @ Xz ) )
            | ( ~ ( X @ Xz )
              & ( Y @ Xz ) )
            | ( ~ ( Y @ Xz )
              & ( X @ Xz ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a > $o,Y: a > $o] :
        ( ( ^ [Xz: a] :
              ( ( Y @ Xz )
              | ( X @ Xz ) ) )
        = ( ^ [Xz: a] :
              ( ( ( Y @ Xz )
                & ( X @ Xz ) )
              | ( ~ ( X @ Xz )
                & ( Y @ Xz ) )
              | ( ~ ( Y @ Xz )
                & ( X @ Xz ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBOOL_PROP_95_pme]) ).

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

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

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

thf(zip_derived_cl3,plain,
    ( ( ^ [Y0: a] :
          ( ( '#sk2' @ Y0 )
          | ( '#sk1' @ Y0 ) ) )
   != ( ^ [Y0: a] :
          ( ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) )
          | ( ( (~) @ ( '#sk1' @ Y0 ) )
            & ( '#sk2' @ Y0 ) )
          | ( ( (~) @ ( '#sk2' @ Y0 ) )
            & ( '#sk1' @ Y0 ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ( ( ( '#sk2' @ '#sk3' )
      | ( '#sk1' @ '#sk3' ) )
   != ( ( ( '#sk2' @ '#sk3' )
        & ( '#sk1' @ '#sk3' ) )
      | ( ( (~) @ ( '#sk1' @ '#sk3' ) )
        & ( '#sk2' @ '#sk3' ) )
      | ( ( (~) @ ( '#sk2' @ '#sk3' ) )
        & ( '#sk1' @ '#sk3' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl4_001,plain,
    ( ( ( '#sk2' @ '#sk3' )
      | ( '#sk1' @ '#sk3' ) )
   != ( ( ( '#sk2' @ '#sk3' )
        & ( '#sk1' @ '#sk3' ) )
      | ( ( (~) @ ( '#sk1' @ '#sk3' ) )
        & ( '#sk2' @ '#sk3' ) )
      | ( ( (~) @ ( '#sk2' @ '#sk3' ) )
        & ( '#sk1' @ '#sk3' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ( ( '#sk2' @ '#sk3' )
    | ( ( $false
        | ( '#sk1' @ '#sk3' ) )
     != ( ( $false
          & ( '#sk1' @ '#sk3' ) )
        | ( ( (~) @ ( '#sk1' @ '#sk3' ) )
          & $false )
        | ( ( (~) @ $false )
          & ( '#sk1' @ '#sk3' ) ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ( ( '#sk2' @ '#sk3' )
    | ( ( '#sk1' @ '#sk3' )
     != ( '#sk1' @ '#sk3' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    '#sk2' @ '#sk3',
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl9_002,plain,
    '#sk2' @ '#sk3',
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl9_003,plain,
    '#sk2' @ '#sk3',
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl9_004,plain,
    '#sk2' @ '#sk3',
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ( ( $true
      | ( '#sk1' @ '#sk3' ) )
   != ( ( $true
        & ( '#sk1' @ '#sk3' ) )
      | ( ( (~) @ ( '#sk1' @ '#sk3' ) )
        & $true )
      | ( ( (~) @ $true )
        & ( '#sk1' @ '#sk3' ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl9,zip_derived_cl9,zip_derived_cl9,zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET619^5 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kUEShhW6TN true
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 10:35:11 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % 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
% 0.47/0.60  % Total configuration time : 828
% 0.47/0.60  % Estimated wc time : 1656
% 0.47/0.60  % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.65  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.65  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.68  % Solved by lams/35_full_unif4.sh.
% 0.52/0.68  % done 2 iterations in 0.009s
% 0.52/0.68  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.68  % SZS output start Refutation
% See solution above
% 0.52/0.68  
% 0.52/0.68  
% 0.52/0.68  % Terminating...
% 0.52/0.71  % Runner terminated.
% 0.52/0.72  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------