TSTP Solution File: ALG298^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG298^5 : 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.GUlYRP3szn true

% Computer : n012.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 : Wed Aug 30 17:12:46 EDT 2023

% Result   : Theorem 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   31 (  17 unt;  12 typ;   0 def)
%            Number of atoms       :   27 (  26 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  146 (   3   ~;   0   |;   6   &; 135   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   45 (   0   ^;  43   !;   2   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_type,type,
    c: $tType ).

thf(b_type,type,
    b: $tType ).

thf(a_type,type,
    a: $tType ).

thf(c_starb_type,type,
    c_starb: b > b > b ).

thf(sk__type,type,
    sk_: a > b ).

thf(sk__1_type,type,
    sk__1: a > c ).

thf(sk__5_type,type,
    sk__5: b ).

thf(c_stara_type,type,
    c_stara: a > a > a ).

thf(c_starc_type,type,
    c_starc: c > c > c ).

thf(sk__3_type,type,
    sk__3: b > c ).

thf(sk__4_type,type,
    sk__4: b ).

thf(sk__2_type,type,
    sk__2: b > a ).

thf(cTHM270_pme,conjecture,
    ! [Xf: a > b,Xg: a > c,Xh: b > c] :
      ( ( ! [Xx: a] :
            ( ( Xh @ ( Xf @ Xx ) )
            = ( Xg @ Xx ) )
        & ! [Xy: b] :
          ? [Xx: a] :
            ( ( Xf @ Xx )
            = Xy )
        & ! [Xx: a,Xy: a] :
            ( ( Xf @ ( c_stara @ Xx @ Xy ) )
            = ( c_starb @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
        & ! [Xx: a,Xy: a] :
            ( ( Xg @ ( c_stara @ Xx @ Xy ) )
            = ( c_starc @ ( Xg @ Xx ) @ ( Xg @ Xy ) ) ) )
     => ! [Xx: b,Xy: b] :
          ( ( Xh @ ( c_starb @ Xx @ Xy ) )
          = ( c_starc @ ( Xh @ Xx ) @ ( Xh @ Xy ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xf: a > b,Xg: a > c,Xh: b > c] :
        ( ( ! [Xx: a] :
              ( ( Xh @ ( Xf @ Xx ) )
              = ( Xg @ Xx ) )
          & ! [Xy: b] :
            ? [Xx: a] :
              ( ( Xf @ Xx )
              = Xy )
          & ! [Xx: a,Xy: a] :
              ( ( Xf @ ( c_stara @ Xx @ Xy ) )
              = ( c_starb @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
          & ! [Xx: a,Xy: a] :
              ( ( Xg @ ( c_stara @ Xx @ Xy ) )
              = ( c_starc @ ( Xg @ Xx ) @ ( Xg @ Xy ) ) ) )
       => ! [Xx: b,Xy: b] :
            ( ( Xh @ ( c_starb @ Xx @ Xy ) )
            = ( c_starc @ ( Xh @ Xx ) @ ( Xh @ Xy ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM270_pme]) ).

thf(zip_derived_cl0,plain,
    ( ( sk__3 @ ( c_starb @ sk__4 @ sk__5 ) )
   != ( c_starc @ ( sk__3 @ sk__4 ) @ ( sk__3 @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X1: b] :
      ( ( sk_ @ ( sk__2 @ X1 ) )
      = X1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: a,X3: a] :
      ( ( sk_ @ ( c_stara @ X2 @ X3 ) )
      = ( c_starb @ ( sk_ @ X2 ) @ ( sk_ @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: b,X1: a] :
      ( ( sk_ @ ( c_stara @ ( sk__2 @ X0 ) @ X1 ) )
      = ( c_starb @ X0 @ ( sk_ @ X1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl1,plain,
    ! [X0: a] :
      ( ( sk__3 @ ( sk_ @ X0 ) )
      = ( sk__1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ! [X0: a,X1: b] :
      ( ( sk__3 @ ( c_starb @ X1 @ ( sk_ @ X0 ) ) )
      = ( sk__1 @ ( c_stara @ ( sk__2 @ X1 ) @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).

thf(zip_derived_cl2_001,plain,
    ! [X1: b] :
      ( ( sk_ @ ( sk__2 @ X1 ) )
      = X1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: a] :
      ( ( sk__3 @ ( sk_ @ X0 ) )
      = ( sk__1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: b] :
      ( ( sk__3 @ X0 )
      = ( sk__1 @ ( sk__2 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ! [X4: a,X5: a] :
      ( ( sk__1 @ ( c_stara @ X4 @ X5 ) )
      = ( c_starc @ ( sk__1 @ X4 ) @ ( sk__1 @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: b,X1: a] :
      ( ( sk__1 @ ( c_stara @ X1 @ ( sk__2 @ X0 ) ) )
      = ( c_starc @ ( sk__1 @ X1 ) @ ( sk__3 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl44,plain,
    ! [X0: b,X1: b] :
      ( ( sk__3 @ ( c_starb @ X1 @ ( sk_ @ ( sk__2 @ X0 ) ) ) )
      = ( c_starc @ ( sk__1 @ ( sk__2 @ X1 ) ) @ ( sk__3 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl12]) ).

thf(zip_derived_cl2_003,plain,
    ! [X1: b] :
      ( ( sk_ @ ( sk__2 @ X1 ) )
      = X1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5_004,plain,
    ! [X0: b] :
      ( ( sk__3 @ X0 )
      = ( sk__1 @ ( sk__2 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl50,plain,
    ! [X0: b,X1: b] :
      ( ( sk__3 @ ( c_starb @ X1 @ X0 ) )
      = ( c_starc @ ( sk__3 @ X1 ) @ ( sk__3 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl2,zip_derived_cl5]) ).

thf(zip_derived_cl52,plain,
    ( ( sk__3 @ ( c_starb @ sk__4 @ sk__5 ) )
   != ( sk__3 @ ( c_starb @ sk__4 @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl50]) ).

thf(zip_derived_cl53,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG298^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GUlYRP3szn true
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 05:29:24 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.77  % Solved by lams/40_c.s.sh.
% 0.56/0.77  % done 16 iterations in 0.013s
% 0.56/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77  % SZS output start Refutation
% See solution above
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.56/0.79  % Terminating...
% 0.60/0.86  % Runner terminated.
% 0.60/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------