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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV079^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aiX6LY45iR true

% Computer : n021.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 04:57:08 PM UTC 2025

% Result   : Theorem 0.62s 0.83s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   34 (  27 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   33 (   8   ~;   0   |;   7   &;   6   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   5 con; 0-2 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   12 (   6   ^;   6   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk1_type',type,
    '#sk1': $i ).

thf('#sk3_type',type,
    '#sk3': $i ).

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

thf(cTRANS_ID_pme,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( Y = Z )
        & ( X = Y ) )
     => ( X = Z ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i,Z: $i] :
        ( ( ( Y = Z )
          & ( X = Y ) )
       => ( X = Z ) ),
    inference('cnf.neg',[status(esa)],[cTRANS_ID_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( ( Y1 = Y2 )
                    & ( Y0 = Y1 ) )
                 => ( Y0 = Y2 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( ( Y0 = Y1 )
                & ( '#sk1' = Y0 ) )
             => ( '#sk1' = Y1 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( ( '#sk2' = Y0 )
            & ( '#sk1' = '#sk2' ) )
         => ( '#sk1' = Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( ( ( '#sk2' = '#sk3' )
        & ( '#sk1' = '#sk2' ) )
     => ( '#sk1' = '#sk3' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ( ( '#sk2' = '#sk3' )
    & ( '#sk1' = '#sk2' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    '#sk1' = '#sk2',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    '#sk1' = '#sk2',
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl6,plain,
    '#sk2' = '#sk3',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    '#sk2' = '#sk3',
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl5,plain,
    '#sk1' != '#sk3',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    '#sk1' != '#sk3',
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl11,plain,
    '#sk1' != '#sk2',
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl10,zip_derived_cl11]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEV079^5 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aiX6LY45iR true
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 Oct  1 15:38:53 EDT 2025
% 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.59/0.70  % Total configuration time : 828
% 0.59/0.70  % Estimated wc time : 1656
% 0.59/0.70  % Estimated cpu time (8 cpus) : 207.0
% 0.61/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.61/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.79  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.62/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.62/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.62/0.83  % Solved by lams/35_full_unif4.sh.
% 0.62/0.83  % done 3 iterations in 0.009s
% 0.62/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.83  % SZS output start Refutation
% See solution above
% 0.62/0.83  
% 0.62/0.83  
% 0.62/0.83  % Terminating...
% 0.65/0.89  % Runner terminated.
% 1.85/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------