TSTP Solution File: MSC025^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MSC025^2 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jwb6DZK7y6 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 09:31:55 EDT 2023

% Result   : Theorem 1.35s 0.80s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   56 (  21 unt;   7 typ;   0 def)
%            Number of atoms       :  126 (  70 equ;   2 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  145 (  46   ~;  37   |;   2   &;  54   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   7 usr;   7 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(one_type,type,
    one: $i ).

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

thf(b2_type,type,
    b2: $o > $i ).

thf(b1_type,type,
    b1: $o > $i ).

thf(two_type,type,
    two: $i ).

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

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

thf(b2,axiom,
    ! [X: $o] :
      ( ( ~ X
       => ( ( b2 @ X )
          = one ) )
      & ( X
       => ( ( b2 @ X )
          = two ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $o] :
      ( ( ( b2 @ X0 )
        = one )
      | X0 ),
    inference(cnf,[status(esa)],[b2]) ).

thf(goal,conjecture,
    ! [F: $o > $i] :
      ( ! [X: $o] :
          ( ( F @ X )
         != ( F @ ~ X ) )
     => ( ( F = b1 )
        | ( F = b2 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [F: $o > $i] :
        ( ! [X: $o] :
            ( ( F @ X )
           != ( F @ ~ X ) )
       => ( ( F = b1 )
          | ( F = b2 ) ) ),
    inference('cnf.neg',[status(esa)],[goal]) ).

thf(zip_derived_cl8,plain,
    sk_ != b2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    ( ( sk_ @ '#sk2' )
   != ( b2 @ '#sk2' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl57,plain,
    ( '#sk2'
    | ( ( sk_ @ $false )
     != ( b2 @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl59,plain,
    ( ( ( sk_ @ $false )
     != one )
    | '#sk2' ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl57]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $o] :
      ( ( ( b2 @ X0 )
        = two )
      | ~ X0 ),
    inference(cnf,[status(esa)],[b2]) ).

thf(zip_derived_cl58,plain,
    ( ~ '#sk2'
    | ( ( sk_ @ $true )
     != ( b2 @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl94,plain,
    ( ( ( sk_ @ $true )
     != two )
    | ~ '#sk2' ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl58]) ).

thf(binarity_exhaust,axiom,
    ! [X: $i] :
      ( ( X = two )
      | ( X = one ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( X0 = two )
      | ( X0 = one ) ),
    inference(cnf,[status(esa)],[binarity_exhaust]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] :
      ( ( X0 = two )
      | ( X0 = one ) ),
    inference(cnf,[status(esa)],[binarity_exhaust]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( X0 = two )
      | ( X1 = two ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $o] :
      ( ( sk_ @ X0 )
     != ( sk_ @ ( (~) @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124,plain,
    ( ( sk_ @ $true )
   != ( sk_ @ ( (~) @ $true ) ) ),
    inference(replace_bool_vars,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl126,plain,
    ( ( sk_ @ $true )
   != ( sk_ @ $false ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl124]) ).

thf(zip_derived_cl235,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ $true )
       != X0 )
      | ( ( sk_ @ $false )
        = two )
      | ( X0 = two ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl126]) ).

thf(zip_derived_cl357,plain,
    ( ( ( sk_ @ $true )
      = two )
    | ( ( sk_ @ $false )
      = two ) ),
    inference(simplify,[status(thm)],[zip_derived_cl235]) ).

thf(b1,axiom,
    ! [X: $o] :
      ( ( ~ X
       => ( ( b1 @ X )
          = two ) )
      & ( X
       => ( ( b1 @ X )
          = one ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $o] :
      ( ( ( b1 @ X0 )
        = two )
      | X0 ),
    inference(cnf,[status(esa)],[b1]) ).

thf(zip_derived_cl7,plain,
    sk_ != b1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ( ( sk_ @ '#sk1' )
   != ( b1 @ '#sk1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl52,plain,
    ( '#sk1'
    | ( ( sk_ @ $false )
     != ( b1 @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl54,plain,
    ( ( ( sk_ @ $false )
     != two )
    | '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl52]) ).

thf(zip_derived_cl583,plain,
    ( ( two != two )
    | ( ( sk_ @ $true )
      = two )
    | '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl357,zip_derived_cl54]) ).

thf(zip_derived_cl591,plain,
    ( '#sk1'
    | ( ( sk_ @ $true )
      = two ) ),
    inference(simplify,[status(thm)],[zip_derived_cl583]) ).

thf(zip_derived_cl35_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( X0 = two )
      | ( X1 = two ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $o] :
      ( ( ( b1 @ X0 )
        = one )
      | ~ X0 ),
    inference(cnf,[status(esa)],[b1]) ).

thf(zip_derived_cl53,plain,
    ( ~ '#sk1'
    | ( ( sk_ @ $true )
     != ( b1 @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl85,plain,
    ( ( ( sk_ @ $true )
     != one )
    | ~ '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl53]) ).

thf(zip_derived_cl239,plain,
    ! [X0: $i] :
      ( ( X0 != one )
      | ( ( sk_ @ $true )
        = two )
      | ( X0 = two )
      | ~ '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl85]) ).

thf(zip_derived_cl362,plain,
    ( ~ '#sk1'
    | ( one = two )
    | ( ( sk_ @ $true )
      = two ) ),
    inference(simplify,[status(thm)],[zip_derived_cl239]) ).

thf(binarity_distinc,axiom,
    one != two ).

thf(zip_derived_cl1,plain,
    one != two,
    inference(cnf,[status(esa)],[binarity_distinc]) ).

thf(zip_derived_cl363,plain,
    ( ~ '#sk1'
    | ( ( sk_ @ $true )
      = two ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl362,zip_derived_cl1]) ).

thf(zip_derived_cl658,plain,
    ( ( sk_ @ $true )
    = two ),
    inference(clc,[status(thm)],[zip_derived_cl591,zip_derived_cl363]) ).

thf(zip_derived_cl660,plain,
    ( ( two != two )
    | ~ '#sk2' ),
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl658]) ).

thf(zip_derived_cl661,plain,
    ~ '#sk2',
    inference(simplify,[status(thm)],[zip_derived_cl660]) ).

thf(zip_derived_cl671,plain,
    ( ( sk_ @ $false )
   != one ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl661]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i] :
      ( ( X0 = two )
      | ( X0 = one ) ),
    inference(cnf,[status(esa)],[binarity_exhaust]) ).

thf(zip_derived_cl126_004,plain,
    ( ( sk_ @ $true )
   != ( sk_ @ $false ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl124]) ).

thf(zip_derived_cl129,plain,
    ( ( ( sk_ @ $true )
     != two )
    | ( ( sk_ @ $false )
      = one ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl126]) ).

thf(zip_derived_cl658_005,plain,
    ( ( sk_ @ $true )
    = two ),
    inference(clc,[status(thm)],[zip_derived_cl591,zip_derived_cl363]) ).

thf(zip_derived_cl663,plain,
    ( ( two != two )
    | ( ( sk_ @ $false )
      = one ) ),
    inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl658]) ).

thf(zip_derived_cl664,plain,
    ( ( sk_ @ $false )
    = one ),
    inference(simplify,[status(thm)],[zip_derived_cl663]) ).

thf(zip_derived_cl697,plain,
    one != one,
    inference(demod,[status(thm)],[zip_derived_cl671,zip_derived_cl664]) ).

thf(zip_derived_cl698,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl697]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : MSC025^2 : TPTP v8.1.2. Released v5.5.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jwb6DZK7y6 true
% 0.12/0.34  % Computer : n011.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 : Thu Aug 24 13:45:22 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.20/0.62  % Total configuration time : 828
% 0.20/0.62  % Estimated wc time : 1656
% 0.20/0.62  % Estimated cpu time (8 cpus) : 207.0
% 1.27/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.27/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.27/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.27/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.27/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.27/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.27/0.74  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.27/0.75  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.35/0.80  % Solved by lams/40_c.s.sh.
% 1.35/0.80  % done 96 iterations in 0.054s
% 1.35/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.80  % SZS output start Refutation
% See solution above
% 1.35/0.80  
% 1.35/0.80  
% 1.35/0.80  % Terminating...
% 1.35/0.87  % Runner terminated.
% 1.35/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------