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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO001^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ebfkoNVwqS true

% Computer : n017.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 05:06:10 PM UTC 2025

% Result   : Theorem 0.56s 0.78s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   63 (   8   ~;   2   |;   3   &;  38   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   30 (  10   ^;  20   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(leibeq_type,type,
    leibeq: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__4_type,type,
    sk__4: $i > $o ).

thf(leibeq,axiom,
    ( leibeq
    = ( ^ [X: $i,Y: $i] :
        ! [P: $i > $o] :
          ( ( P @ X )
         => ( P @ Y ) ) ) ) ).

thf('0',plain,
    ( leibeq
    = ( ^ [X: $i,Y: $i] :
        ! [P: $i > $o] :
          ( ( P @ X )
         => ( P @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[leibeq]) ).

thf('1',plain,
    ( leibeq
    = ( ^ [V_1: $i,V_2: $i] :
        ! [X4: $i > $o] :
          ( ( X4 @ V_1 )
         => ( X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

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

thf(zf_stmt_0,conjecture,
    ! [X4: $i,X6: $i,X8: $i] :
      ( ( ! [X10: $i > $o] :
            ( ( X10 @ X4 )
           => ( X10 @ X6 ) )
        & ! [X12: $i > $o] :
            ( ( X12 @ X6 )
           => ( X12 @ X8 ) ) )
     => ! [X14: $i > $o] :
          ( ( X14 @ X4 )
         => ( X14 @ X8 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i,X6: $i,X8: $i] :
        ( ( ! [X10: $i > $o] :
              ( ( X10 @ X4 )
             => ( X10 @ X6 ) )
          & ! [X12: $i > $o] :
              ( ( X12 @ X6 )
             => ( X12 @ X8 ) ) )
       => ! [X14: $i > $o] :
            ( ( X14 @ X4 )
           => ( X14 @ X8 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X1: $i > $o] :
      ( ( X1 @ sk__2 )
      | ~ ( X1 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i > $o] :
      ( ( X0 @ sk__3 )
      | ~ ( X0 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( sk__4 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ~ ( ^ [Y0: $i] :
          ( sk__4
          @ ( ^ [Y1: $i] : Y1
            @ Y0 ) )
      @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl47,plain,
    ~ ( sk__4 @ sk__2 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl60,plain,
    ~ ( ^ [Y0: $i] :
          ( sk__4
          @ ( ^ [Y1: $i] : Y1
            @ Y0 ) )
      @ sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl47]) ).

thf(zip_derived_cl100,plain,
    ~ ( sk__4 @ sk__1 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl60]) ).

thf(zip_derived_cl0,plain,
    sk__4 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl101,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO001^1 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ebfkoNVwqS true
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 18:18:53 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % 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
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.78  % Solved by lams/40_c_ic.sh.
% 0.56/0.78  % done 12 iterations in 0.014s
% 0.56/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.78  % SZS output start Refutation
% See solution above
% 0.56/0.78  
% 0.56/0.78  
% 0.56/0.78  % Terminating...
% 0.67/0.87  % Runner terminated.
% 0.67/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------