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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO006^1 : 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.MnpyycRnhP true

% Computer : n020.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 05:06:11 PM UTC 2025

% Result   : Theorem 0.57s 0.78s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   48 (  12 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   53 (  16   ~;   7   |;   0   &;  19   @)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   9   ^;  13   !;   0   ?;  22   :)

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

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

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

thf(leibeq1,axiom,
    ( leibeq
    = ( ^ [U: $o,V: $o] :
        ! [Q: $o > $o] :
          ( ( Q @ U )
         => ( Q @ V ) ) ) ) ).

thf('0',plain,
    ( leibeq
    = ( ^ [U: $o,V: $o] :
        ! [Q: $o > $o] :
          ( ( Q @ U )
         => ( Q @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[leibeq1]) ).

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

thf(conj,conjecture,
    ! [A: $o,B: $o] :
      ( ( leibeq @ A @ B )
     => ( A
      <=> B ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $o,X6: $o] :
      ( ! [X8: $o > $o] :
          ( ( X8 @ X4 )
         => ( X8 @ X6 ) )
     => ( X4
      <=> X6 ) ) ).

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

thf(zip_derived_cl0,plain,
    ! [X0: $o > $o] :
      ( ( X0 @ sk__2 )
      | ~ ( X0 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl14,plain,
    ( ( ^ [Y0: $o] : ( sk__2 != Y0 )
      @ sk__2 )
    | ~ ( ^ [Y0: $o] : ( sk__2 != Y0 )
        @ sk__1 ) ),
    inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl29,plain,
    ( ( sk__2 != sk__2 )
    | ~ ( ( sk__2 != sk__1 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl30,plain,
    ~ ( ( sk__2 != sk__1 ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl31,plain,
    sk__2 = sk__1,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $o > $o] :
      ( ( X0 @ sk__2 )
      | ~ ( X0 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl15,plain,
    ( ^ [Y0: $o] : ( Y0 = sk__1 )
    @ sk__2 ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl27,plain,
    sk__2 = sk__1,
    inference(ho_norm,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl28,plain,
    sk__2 = sk__1,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl55,plain,
    ( sk__1
    | ~ sk__2 ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl1,plain,
    ( ~ sk__2
    | ~ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl57,plain,
    ~ sk__2,
    inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ( sk__2
    | sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl57_002,plain,
    ~ sk__2,
    inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl1]) ).

thf(zip_derived_cl60,plain,
    sk__1,
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl57]) ).

thf(zip_derived_cl61,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl57,zip_derived_cl60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO006^1 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MnpyycRnhP true
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Oct  1 18:18:53 EDT 2025
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.57/0.67  % Total configuration time : 828
% 0.57/0.67  % Estimated wc time : 1656
% 0.57/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.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/35_full_unif4.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.78  % Solved by lams/40_c_ic.sh.
% 0.57/0.78  % done 5 iterations in 0.011s
% 0.57/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.78  % SZS output start Refutation
% See solution above
% 0.57/0.78  
% 0.57/0.78  
% 0.57/0.78  % Terminating...
% 1.85/0.86  % Runner terminated.
% 1.86/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------