TSTP Solution File: SET595^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET595^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6brBOsvdkJ true

% Computer : n011.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 16:14:49 EDT 2023

% Result   : Theorem 1.32s 0.80s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  13 unt;   4 typ;   0 def)
%            Number of atoms       :   77 (  12 equ;   9 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  142 (  24   ~;  14   |;  11   &;  74   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 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)
%                                         (   7  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   22 (  14   ^;   8   !;   0   ?;  22   :)

% 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_54_pme,conjecture,
    ! [X: a > $o,Y: a > $o] :
      ( ! [Xx: a] :
          ( ( X @ Xx )
         => ( Y @ Xx ) )
     => ( Y
        = ( ^ [Xz: a] :
              ( ( ~ ( X @ Xz )
                & ( Y @ Xz ) )
              | ( X @ Xz ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a > $o,Y: a > $o] :
        ( ! [Xx: a] :
            ( ( X @ Xx )
           => ( Y @ Xx ) )
       => ( Y
          = ( ^ [Xz: a] :
                ( ( ~ ( X @ Xz )
                  & ( Y @ Xz ) )
                | ( X @ Xz ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBOOL_PROP_54_pme]) ).

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

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

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

thf(zip_derived_cl4,plain,
    ( '#sk2'
   != ( ^ [Y0: a] :
          ( ( ( (~) @ ( '#sk1' @ Y0 ) )
            & ( '#sk2' @ Y0 ) )
          | ( '#sk1' @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ( '#sk2'
   != ( ^ [Y0: a] :
          ( ( ( (~) @ ( '#sk1' @ Y0 ) )
            & ( '#sk2' @ Y0 ) )
          | ( '#sk1' @ Y0 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ( ( '#sk2' @ '#sk3' )
   != ( ( ( (~) @ ( '#sk1' @ '#sk3' ) )
        & ( '#sk2' @ '#sk3' ) )
      | ( '#sk1' @ '#sk3' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8_001,plain,
    ( ( '#sk2' @ '#sk3' )
   != ( ( ( (~) @ ( '#sk1' @ '#sk3' ) )
        & ( '#sk2' @ '#sk3' ) )
      | ( '#sk1' @ '#sk3' ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    ( ( '#sk1' @ '#sk3' )
    | ( ( '#sk2' @ '#sk3' )
     != ( ( ( (~) @ $false )
          & ( '#sk2' @ '#sk3' ) )
        | $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl12,plain,
    ( ( '#sk1' @ '#sk3' )
    | ( ( '#sk2' @ '#sk3' )
     != ( '#sk2' @ '#sk3' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl13,plain,
    '#sk1' @ '#sk3',
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl13_002,plain,
    '#sk1' @ '#sk3',
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl18,plain,
    ( ( '#sk2' @ '#sk3' )
   != ( ( ( (~) @ $true )
        & ( '#sk2' @ '#sk3' ) )
      | $true ) ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl13,zip_derived_cl13]) ).

thf(zip_derived_cl19,plain,
    ~ ( '#sk2' @ '#sk3' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl13_003,plain,
    '#sk1' @ '#sk3',
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

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

thf(zip_derived_cl5,plain,
    ! [X2: a] :
      ( ( '#sk1' @ X2 )
     => ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 )
      | ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl20,plain,
    '#sk2' @ '#sk3',
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).

thf(zip_derived_cl22,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl20]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET595^5 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6brBOsvdkJ true
% 0.15/0.35  % Computer : n011.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 08:49:54 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 1.32/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.32/0.77  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.32/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.32/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.32/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.32/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.32/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.32/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.32/0.80  % Solved by lams/35_full_unif4.sh.
% 1.32/0.80  % done 6 iterations in 0.009s
% 1.32/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/0.80  % SZS output start Refutation
% See solution above
% 1.32/0.80  
% 1.32/0.80  
% 1.32/0.80  % Terminating...
% 1.62/0.87  % Runner terminated.
% 1.78/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------