TSTP Solution File: SYO026^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO026^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3eVzcg3D3t 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 : Fri Sep  1 05:49:15 EDT 2023

% Result   : Theorem 1.21s 0.79s
% Output   : Refutation 1.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   57 (  16 unt;   6 typ;   0 def)
%            Number of atoms       :  135 (  11 equ;   5 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  124 (  47   ~;  19   |;   6   &;  50   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   6 usr;   7 con; 0-2 aty)
%            Number of variables   :   25 (  23   ^;   2   !;   0   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk4_type',type,
    '#sk4': $o ).

thf(p_type,type,
    p: ( $o > $o ) > $o ).

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

thf(sk__type,type,
    sk_: $o > $o ).

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

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

thf(conj,conjecture,
    ( ( ( p
        @ ^ [X: $o] : X )
      & ( p
        @ ^ [X: $o] : ~ X )
      & ( p
        @ ^ [X: $o] : $false )
      & ( p
        @ ^ [X: $o] : $true ) )
   => ! [Y: $o > $o] : ( p @ Y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( p
          @ ^ [X: $o] : X )
        & ( p
          @ ^ [X: $o] : ~ X )
        & ( p
          @ ^ [X: $o] : $false )
        & ( p
          @ ^ [X: $o] : $true ) )
     => ! [Y: $o > $o] : ( p @ Y ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl0,plain,
    ( p
    @ ^ [Y0: $o] : Y0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ~ ( p @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ( ( ^ [Y0: $o] : Y0 )
   != ( ^ [Y0: $o] : ( sk_ @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl31,plain,
    ( ( ^ [Y0: $o] : Y0 )
   != sk_ ),
    inference(ho_norm,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl36,plain,
    ( '#sk4'
   != ( sk_ @ '#sk4' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl64,plain,
    ( ~ ( sk_ @ '#sk4' )
    | ~ '#sk4' ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl66,plain,
    ( ~ ( sk_ @ $true )
    | ~ '#sk4' ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl63,plain,
    ( ( sk_ @ '#sk4' )
    | '#sk4' ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl65,plain,
    ( ( sk_ @ $false )
    | '#sk4' ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl1,plain,
    ( p
    @ ^ [Y0: $o] : ( (~) @ Y0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    p @ (~),
    inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4_001,plain,
    ~ ( p @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    ( ( ^ [Y0: $o] : ( (~) @ Y0 ) )
   != ( ^ [Y0: $o] : ( sk_ @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl11,zip_derived_cl4]) ).

thf(zip_derived_cl28,plain,
    (~) != sk_,
    inference(ho_norm,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl32,plain,
    ( ( (~) @ '#sk1' )
   != ( sk_ @ '#sk1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl33,plain,
    ( '#sk1'
    = ( sk_ @ '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl49,plain,
    ( '#sk1'
    | ~ ( sk_ @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl51,plain,
    ( '#sk1'
    | ~ ( sk_ @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl65_002,plain,
    ( ( sk_ @ $false )
    | '#sk4' ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl3,plain,
    ( p
    @ ^ [Y0: $o] : $true ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_003,plain,
    ~ ( p @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    ( ( ^ [Y0: $o] : $true )
   != ( ^ [Y0: $o] : ( sk_ @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl29,plain,
    ( ( ^ [Y0: $o] : $true )
   != sk_ ),
    inference(ho_norm,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl34,plain,
    ~ ( sk_ @ '#sk2' ),
    inference(neg_ext,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl37,plain,
    ( '#sk2'
    | ~ ( sk_ @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl70,plain,
    ( '#sk4'
    | '#sk2' ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl37]) ).

thf(zip_derived_cl48,plain,
    ( ( sk_ @ '#sk1' )
    | ~ '#sk1' ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl50,plain,
    ( ( sk_ @ $true )
    | ~ '#sk1' ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl38,plain,
    ( ~ '#sk2'
    | ~ ( sk_ @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl55,plain,
    ( ~ '#sk1'
    | ~ '#sk2' ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl38]) ).

thf(zip_derived_cl80,plain,
    ( '#sk4'
    | ~ '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl55]) ).

thf(zip_derived_cl50_004,plain,
    ( ( sk_ @ $true )
    | ~ '#sk1' ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl66_005,plain,
    ( ~ ( sk_ @ $true )
    | ~ '#sk4' ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl78,plain,
    ( ~ '#sk1'
    | ~ '#sk4' ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl66]) ).

thf(zip_derived_cl84,plain,
    ~ '#sk1',
    inference(clc,[status(thm)],[zip_derived_cl80,zip_derived_cl78]) ).

thf(zip_derived_cl85,plain,
    ~ ( sk_ @ $false ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl84]) ).

thf(zip_derived_cl86,plain,
    '#sk4',
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl85]) ).

thf(zip_derived_cl102,plain,
    ~ ( sk_ @ $true ),
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl86]) ).

thf(zip_derived_cl2,plain,
    ( p
    @ ^ [Y0: $o] : $false ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_006,plain,
    ~ ( p @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ( ( ^ [Y0: $o] : $false )
   != ( ^ [Y0: $o] : ( sk_ @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl30,plain,
    ( ( ^ [Y0: $o] : $false )
   != sk_ ),
    inference(ho_norm,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl35,plain,
    sk_ @ '#sk3',
    inference(neg_ext,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl40,plain,
    ( ~ '#sk3'
    | ( sk_ @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl39,plain,
    ( '#sk3'
    | ( sk_ @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl85_007,plain,
    ~ ( sk_ @ $false ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl84]) ).

thf(zip_derived_cl87,plain,
    '#sk3',
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl85]) ).

thf(zip_derived_cl103,plain,
    sk_ @ $true,
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl87]) ).

thf(zip_derived_cl104,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl103]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO026^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3eVzcg3D3t 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 07:07:39 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/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
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 1.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.21/0.79  % Solved by lams/40_c.s.sh.
% 1.21/0.79  % done 34 iterations in 0.019s
% 1.21/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.21/0.79  % SZS output start Refutation
% See solution above
% 1.21/0.79  
% 1.21/0.79  
% 1.21/0.79  % Terminating...
% 1.62/0.87  % Runner terminated.
% 1.62/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------