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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV391^5 : 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.SwBMJ1wpgN true

% Computer : n011.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 04:57:38 PM UTC 2025

% Result   : Theorem 0.61s 0.78s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   32 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  147 (   7   ~;   8   |;   0   &; 120   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   4 con; 0-3 aty)
%                                         (   2  !!;   4  ??;   0 @@+;   0 @@-)
%            Number of variables   :   23 (   6   ^;  13   !;   4   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cP_type,type,
    cP: $i > $i > $i > $o ).

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

thf(h_type,type,
    h: $i > $i ).

thf(a_type,type,
    a: $i ).

thf(k_type,type,
    k: $i > $i ).

thf(cTHM87_pme,conjecture,
    ? [Xv: $i] :
    ! [Xj: $i] :
    ? [Xq: $i] :
      ( ( ( cP @ Xv @ ( k @ Xj ) @ Xj )
        | ( cP @ a @ ( h @ Xj ) @ Xj ) )
     => ( cP @ Xv @ Xq @ Xj ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Xv: $i] :
      ! [Xj: $i] :
      ? [Xq: $i] :
        ( ( ( cP @ Xv @ ( k @ Xj ) @ Xj )
          | ( cP @ a @ ( h @ Xj ) @ Xj ) )
       => ( cP @ Xv @ Xq @ Xj ) ),
    inference('cnf.neg',[status(esa)],[cTHM87_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ( ( cP @ Y0 @ ( k @ Y1 ) @ Y1 )
                    | ( cP @ a @ ( h @ Y1 ) @ Y1 ) )
                 => ( cP @ Y0 @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i] :
                ( ( ( cP @ X2 @ ( k @ Y0 ) @ Y0 )
                  | ( cP @ a @ ( h @ Y0 ) @ Y0 ) )
               => ( cP @ X2 @ Y1 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i] :
      ~ ( ??
        @ ^ [Y0: $i] :
            ( ( ( cP @ X2 @ ( k @ ( '#sk1' @ X2 ) ) @ ( '#sk1' @ X2 ) )
              | ( cP @ a @ ( h @ ( '#sk1' @ X2 ) ) @ ( '#sk1' @ X2 ) ) )
           => ( cP @ X2 @ Y0 @ ( '#sk1' @ X2 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i,X4: $i] :
      ~ ( ( ( cP @ X2 @ ( k @ ( '#sk1' @ X2 ) ) @ ( '#sk1' @ X2 ) )
          | ( cP @ a @ ( h @ ( '#sk1' @ X2 ) ) @ ( '#sk1' @ X2 ) ) )
       => ( cP @ X2 @ X4 @ ( '#sk1' @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ( ( cP @ X2 @ ( k @ ( '#sk1' @ X2 ) ) @ ( '#sk1' @ X2 ) )
      | ( cP @ a @ ( h @ ( '#sk1' @ X2 ) ) @ ( '#sk1' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ( ( cP @ X2 @ ( k @ ( '#sk1' @ X2 ) ) @ ( '#sk1' @ X2 ) )
      | ( cP @ a @ ( h @ ( '#sk1' @ X2 ) ) @ ( '#sk1' @ X2 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i,X4: $i] :
      ~ ( cP @ X2 @ X4 @ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] : ( cP @ a @ ( h @ ( '#sk1' @ X2 ) ) @ ( '#sk1' @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl5]) ).

thf(zip_derived_cl5_001,plain,
    ! [X2: $i,X4: $i] :
      ~ ( cP @ X2 @ X4 @ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEV391^5 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SwBMJ1wpgN true
% 0.14/0.35  % Computer : n011.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 15:36:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/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
% 0.59/0.69  % Total configuration time : 828
% 0.59/0.69  % Estimated wc time : 1656
% 0.59/0.69  % 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
% 0.59/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.78  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.78  % Solved by lams/35_full_unif4.sh.
% 0.61/0.78  % done 1 iterations in 0.008s
% 0.61/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.78  % SZS output start Refutation
% See solution above
% 0.61/0.78  
% 0.61/0.78  
% 0.61/0.78  % Terminating...
% 0.71/0.88  % Runner terminated.
% 0.71/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------