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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL579^2 : TPTP v9.3.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OBM2p3IRb6 true

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:36:13 PM UTC 2026

% Result   : Theorem 0.48s 0.77s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :    6 (   3 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :   23 (   3   ~;   1   |;   0   &;  13   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   1   ^;   5   !;   0   ?;   6   :)

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

thf(cY_type,type,
    cY: $i ).

thf(cX_type,type,
    cX: $i ).

thf(cTHM76A,conjecture,
    ( ! [P: $i > $o] :
        ( ( P @ cY )
       => ( P @ cX ) )
   => ! [R: $i > $o] :
        ( ( R @ cX )
       => ( R @ cY ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [P: $i > $o] :
          ( ( P @ cY )
         => ( P @ cX ) )
     => ! [R: $i > $o] :
          ( ( R @ cX )
         => ( R @ cY ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM76A]) ).

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

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

thf(zip_derived_cl18,plain,
    ( ^ [Y0: $i] : ( Y0 = cY )
    @ cX ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl30,plain,
    cX = cY,
    inference(ho_norm,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl31,plain,
    cX = cY,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).

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

thf(zip_derived_cl95,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl31,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL579^2 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OBM2p3IRb6 true
% 0.11/0.37  % Computer : n006.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep  6 00:13:46 UTC 2026
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.12.3
% 0.15/0.38  % Running in HO mode
% 0.44/0.67  % Total configuration time : 828
% 0.44/0.67  % Estimated wc time : 1656
% 0.44/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.77  % Solved by lams/40_c.s.sh.
% 0.48/0.77  % done 3 iterations in 0.018s
% 0.48/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.77  % SZS output start Refutation
% See solution above
% 0.48/0.77  
% 0.48/0.77  
% 0.48/0.77  % Terminating...
% 1.50/0.81  % Runner terminated.
% 1.50/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------