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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO352^5 : 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.I1uIEyL0yA 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 05:07:17 PM UTC 2025

% Result   : Theorem 0.50s 0.75s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   10 (   7 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :   45 (   7   ~;   1   |;   0   &;  31   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (   3   ^;  11   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n_type,type,
    n: $i > $i ).

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

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

thf(m_type,type,
    m: $i > $i ).

thf(cE5EXT,conjecture,
    ( ! [X: $i,P: $i > $o] :
        ( ( P @ ( m @ X ) )
       => ( P @ ( n @ X ) ) )
   => ! [Q: ( $i > $i ) > $o] :
        ( ( Q @ m )
       => ( Q @ n ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X: $i,P: $i > $o] :
          ( ( P @ ( m @ X ) )
         => ( P @ ( n @ X ) ) )
     => ! [Q: ( $i > $i ) > $o] :
          ( ( Q @ m )
         => ( Q @ n ) ) ),
    inference('cnf.neg',[status(esa)],[cE5EXT]) ).

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

thf(zip_derived_cl1,plain,
    ~ ( sk_ @ n ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ( ( ^ [Y0: $i] : ( m @ Y0 ) )
   != ( ^ [Y0: $i] : ( n @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    m != n,
    inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ( ( m @ '#sk1' )
   != ( n @ '#sk1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0 @ ( n @ X1 ) )
      | ~ ( X0 @ ( m @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ^ [Y0: $i] :
          ( Y0
          = ( m @ X0 ) )
      @ ( n @ X0 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( n @ X0 )
      = ( m @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( n @ X0 )
      = ( m @ X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl55,plain,
    ( ( n @ '#sk1' )
   != ( n @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl32]) ).

thf(zip_derived_cl56,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SYO352^5 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.I1uIEyL0yA true
% 0.10/0.31  % Computer : n022.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 18:15:53 EDT 2025
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in HO mode
% 0.48/0.63  % Total configuration time : 828
% 0.48/0.63  % Estimated wc time : 1656
% 0.48/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.69  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.75  % Solved by lams/40_c_ic.sh.
% 0.50/0.75  % done 8 iterations in 0.025s
% 0.50/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.75  % SZS output start Refutation
% See solution above
% 0.50/0.75  
% 0.50/0.75  
% 0.50/0.75  % Terminating...
% 0.54/0.82  % Runner terminated.
% 0.54/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------