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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU884^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DqUocraWl1 true

% Computer : n022.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 Oct  2 04:56:47 PM UTC 2025

% Result   : Theorem 0.59s 0.78s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (   8 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   57 (  12   ~;   9   |;   4   &;  26   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  12   !;   4   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(cR_type,type,
    cR: a > $o ).

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

thf(sk__type,type,
    sk_: a ).

thf(cS_type,type,
    cS: a > $o ).

thf(cTHM30B_pme,conjecture,
    ( ! [Xx: a] :
        ( ? [Xt: a] :
            ( ( Xx = Xt )
            & ( cR @ Xt ) )
       => ? [Xt: a] :
            ( ( Xx = Xt )
            & ( cS @ Xt ) ) )
   => ! [Xx: a] :
        ( ( cR @ Xx )
       => ( cS @ Xx ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xx: a] :
          ( ? [Xt: a] :
              ( ( Xx = Xt )
              & ( cR @ Xt ) )
         => ? [Xt: a] :
              ( ( Xx = Xt )
              & ( cS @ Xt ) ) )
     => ! [Xx: a] :
          ( ( cR @ Xx )
         => ( cS @ Xx ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM30B_pme]) ).

thf(zip_derived_cl0,plain,
    ! [X0: a,X1: a] :
      ( ( X0
        = ( sk__1 @ X0 ) )
      | ~ ( cR @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X1: a] :
      ( ~ ( cR @ X1 )
      | ( X1
        = ( sk__1 @ X1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: a,X1: a] :
      ( ( cS @ ( sk__1 @ X0 ) )
      | ~ ( cR @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X1: a] :
      ( ~ ( cR @ X1 )
      | ( cS @ ( sk__1 @ X1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X0: a] :
      ( ( cS @ X0 )
      | ~ ( cR @ X0 )
      | ~ ( cR @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ! [X0: a] :
      ( ~ ( cR @ X0 )
      | ( cS @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl2,plain,
    ~ ( cS @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ~ ( cR @ sk_ ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).

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

thf(zip_derived_cl12,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU884^5 : TPTP v9.2.0. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DqUocraWl1 true
% 0.15/0.35  % Computer : n022.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 : Wed Oct  1 16:07:08 EDT 2025
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.57/0.66  % Total configuration time : 828
% 0.57/0.66  % Estimated wc time : 1656
% 0.57/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.78  % Solved by lams/40_c.s.sh.
% 0.59/0.78  % done 4 iterations in 0.008s
% 0.59/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.78  % SZS output start Refutation
% See solution above
% 0.59/0.78  
% 0.59/0.78  
% 0.59/0.78  % Terminating...
% 0.69/0.87  % Runner terminated.
% 1.84/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------