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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM024^5 : 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.VVHRAxtUCz true

% Computer : n028.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 04:30:37 PM UTC 2025

% Result   : Theorem 0.58s 0.81s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (  15 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   69 (   7   ~;   0   |;   0   &;  52   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   3 usr;   3 con; 0-2 aty)
%                                         (   4  !!;   3  ??;   0 @@+;   0 @@-)
%            Number of variables   :   22 (   8   ^;  12   !;   2   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cTM_type,type,
    cTM: $i > $i > $i ).

thf('#sk1_type',type,
    '#sk1': $i > $i ).

thf(cTH_type,type,
    cTH: ( $i > $i ) > $i ).

thf(cTHM9,conjecture,
    ( ! [G: $i > $i] :
        ( ( cTM @ ( cTH @ G ) )
        = G )
   => ! [F: $i > $i] :
      ? [N: $i] :
        ( ( cTM @ ( F @ N ) )
        = ( cTM @ N ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [G: $i > $i] :
          ( ( cTM @ ( cTH @ G ) )
          = G )
     => ! [F: $i > $i] :
        ? [N: $i] :
          ( ( cTM @ ( F @ N ) )
          = ( cTM @ N ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM9]) ).

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

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i > $i] :
        ( ( cTM @ ( cTH @ Y0 ) )
        = Y0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i > $i] :
      ( ( cTM @ ( cTH @ X2 ) )
      = X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i > $i] :
      ( ( cTM @ ( cTH @ X2 ) )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $i,X3: $i] :
      ( ( cTM @ ( cTH @ X2 ) @ X3 )
      = ( X2 @ X3 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl4,plain,
    ~ ( !!
      @ ^ [Y0: $i > $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ( cTM @ ( Y0 @ Y1 ) )
              = ( cTM @ Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( ( cTM @ ( '#sk1' @ Y0 ) )
          = ( cTM @ Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ( cTM @ ( '#sk1' @ X2 ) )
     != ( cTM @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( ( cTM @ ( '#sk1' @ X2 ) )
     != ( cTM @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i > $i] :
      ( ( cTM
        @ ( cTM
          @ ( cTH
            @ ^ [Y0: $i] : ( '#sk1' @ ( X1 @ Y0 ) ) )
          @ X0 ) )
     != ( cTM @ ( X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).

thf(zip_derived_cl61,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl33]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM024^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VVHRAxtUCz true
% 0.14/0.34  % Computer : n028.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 : Wed Oct  1 13:49:08 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.56/0.67  % Total configuration time : 828
% 0.56/0.67  % Estimated wc time : 1656
% 0.56/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.81  % Solved by lams/15_e_short1.sh.
% 0.58/0.81  % done 7 iterations in 0.045s
% 0.58/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.81  % SZS output start Refutation
% See solution above
% 0.58/0.81  
% 0.58/0.81  
% 0.58/0.81  % Terminating...
% 0.60/0.89  % Runner terminated.
% 1.72/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------