TSTP Solution File: SEU932^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU932^5 : 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.3ZWBo2j6cm 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 19:18:53 EDT 2023

% Result   : Theorem 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   21 (  20 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   45 (   5   ~;   3   |;   4   &;  29   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  10   !;   6   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

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

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(cTHM141_pme,conjecture,
    ! [Xf: $i > $i] :
      ( ? [Xg: $i > $i] :
          ( ? [Xx: $i] :
              ( ! [Xz: $i] :
                  ( ( ( Xg @ Xz )
                    = Xz )
                 => ( Xz = Xx ) )
              & ( ( Xg @ Xx )
                = Xx ) )
          & ! [Xx: $i] :
              ( ( Xf @ ( Xg @ Xx ) )
              = ( Xg @ ( Xf @ Xx ) ) ) )
     => ? [Xy: $i] :
          ( ( Xf @ Xy )
          = Xy ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xf: $i > $i] :
        ( ? [Xg: $i > $i] :
            ( ? [Xx: $i] :
                ( ! [Xz: $i] :
                    ( ( ( Xg @ Xz )
                      = Xz )
                   => ( Xz = Xx ) )
                & ( ( Xg @ Xx )
                  = Xx ) )
            & ! [Xx: $i] :
                ( ( Xf @ ( Xg @ Xx ) )
                = ( Xg @ ( Xf @ Xx ) ) ) )
       => ? [Xy: $i] :
            ( ( Xf @ Xy )
            = Xy ) ),
    inference('cnf.neg',[status(esa)],[cTHM141_pme]) ).

thf(zip_derived_cl0,plain,
    ( ( sk__1 @ sk__2 )
    = sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X1: $i] :
      ( ( sk_ @ ( sk__1 @ X1 ) )
      = ( sk__1 @ ( sk_ @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( X0 = sk__2 )
      | ( ( sk__1 @ X0 )
       != X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ ( sk__1 @ X0 ) )
       != ( sk_ @ X0 ) )
      | ( ( sk_ @ X0 )
        = sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl14,plain,
    ( ( ( sk_ @ sk__2 )
     != ( sk_ @ sk__2 ) )
    | ( ( sk_ @ sk__2 )
      = sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7]) ).

thf(zip_derived_cl18,plain,
    ( ( sk_ @ sk__2 )
    = sk__2 ),
    inference(simplify,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( ( sk_ @ X2 )
     != X2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl18,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : SEU932^5 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3ZWBo2j6cm true
% 0.15/0.37  % Computer : n023.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Wed Aug 23 19:05:28 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.22/0.37  % Running in HO mode
% 0.56/0.68  % Total configuration time : 828
% 0.56/0.68  % Estimated wc time : 1656
% 0.56/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77  % Solved by lams/40_c.s.sh.
% 0.57/0.77  % done 5 iterations in 0.007s
% 0.57/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.77  % SZS output start Refutation
% See solution above
% 0.57/0.77  
% 0.57/0.77  
% 0.57/0.77  % Terminating...
% 1.04/0.87  % Runner terminated.
% 1.04/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------