TSTP Solution File: SEU930^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU930^5 : 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.edXlDmVLyb true

% Computer : n005.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 0.92s 0.79s
% Output   : Refutation 0.92s
% 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   |;   2   &;  29   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   9   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $i > $i ).

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

thf(g_type,type,
    g: $i > $i ).

thf(cTHM171A_pme,conjecture,
    ( ! [Xx: $i] :
        ( ( f @ ( g @ Xx ) )
        = ( g @ ( f @ Xx ) ) )
   => ! [Xx: $i] :
        ( ( ( ( g @ Xx )
            = Xx )
          & ! [Xz: $i] :
              ( ( ( g @ Xz )
                = Xz )
             => ( Xz = Xx ) ) )
       => ( ( f @ Xx )
          = Xx ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xx: $i] :
          ( ( f @ ( g @ Xx ) )
          = ( g @ ( f @ Xx ) ) )
     => ! [Xx: $i] :
          ( ( ( ( g @ Xx )
              = Xx )
            & ! [Xz: $i] :
                ( ( ( g @ Xz )
                  = Xz )
               => ( Xz = Xx ) ) )
         => ( ( f @ Xx )
            = Xx ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM171A_pme]) ).

thf(zip_derived_cl3,plain,
    ( ( g @ sk_ )
    = sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( f @ ( g @ X0 ) )
      = ( g @ ( f @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( ( f @ ( g @ X0 ) )
       != ( f @ X0 ) )
      | ( ( f @ X0 )
        = sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl10,plain,
    ( ( ( f @ sk_ )
     != ( f @ sk_ ) )
    | ( ( f @ sk_ )
      = sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl14,plain,
    ( ( f @ sk_ )
    = sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl1,plain,
    ( ( f @ sk_ )
   != sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl14,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU930^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.edXlDmVLyb true
% 0.14/0.34  % Computer : n005.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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Aug 23 12:22:39 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/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
% 0.21/0.68  % Total configuration time : 828
% 0.21/0.68  % Estimated wc time : 1656
% 0.21/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.92/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.92/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.92/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.92/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.92/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.92/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.92/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.92/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.92/0.79  % Solved by lams/40_c.s.sh.
% 0.92/0.79  % done 4 iterations in 0.007s
% 0.92/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.92/0.79  % SZS output start Refutation
% See solution above
% 0.92/0.79  
% 0.92/0.79  
% 0.92/0.79  % Terminating...
% 1.64/0.87  % Runner terminated.
% 1.64/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------