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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV162^5 : 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.KIJQGbuhO9 true

% Computer : n001.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 04:57:17 PM UTC 2025

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :    8 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   42 (   4   ~;   2   |;   0   &;  34   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   37 (  24   ^;  13   !;   0   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(sk__3_type,type,
    sk__3: a ).

thf(sk__2_type,type,
    sk__2: a ).

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

thf(sk__1_type,type,
    sk__1: ( a > a > a ) > a ).

thf(cTHM184_pme,conjecture,
    ! [Xr: a > a > $o] :
      ( ! [Xx: a,Xy: a] : ( Xr @ Xx @ Xy )
    <=> ! [Xp: ( a > a > a ) > a] :
          ( Xr
          @ ( Xp
            @ ^ [Xx: a,Xy: a] : Xx )
          @ ( Xp
            @ ^ [Xx: a,Xy: a] : Xy ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xr: a > a > $o] :
        ( ! [Xx: a,Xy: a] : ( Xr @ Xx @ Xy )
      <=> ! [Xp: ( a > a > a ) > a] :
            ( Xr
            @ ( Xp
              @ ^ [Xx: a,Xy: a] : Xx )
            @ ( Xp
              @ ^ [Xx: a,Xy: a] : Xy ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM184_pme]) ).

thf(zip_derived_cl0,plain,
    ! [X0: ( a > a > a ) > a,X1: a,X2: a] :
      ( ( sk_
        @ ( X0
          @ ^ [Y0: a,Y1: a] : Y0 )
        @ ( X0
          @ ^ [Y0: a,Y1: a] : Y1 ) )
      | ( sk_ @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: ( a > a > a ) > a] :
      ( sk_
      @ ( X0
        @ ^ [Y0: a,Y1: a] : Y0 )
      @ ( X0
        @ ^ [Y0: a,Y1: a] : Y1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ( ~ ( sk_
        @ ( sk__1
          @ ^ [Y0: a,Y1: a] : Y0 )
        @ ( sk__1
          @ ^ [Y0: a,Y1: a] : Y1 ) )
    | ~ ( sk_ @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: ( a > a > a ) > a] :
      ( sk_
      @ ( X0
        @ ^ [Y0: a,Y1: a] : Y0 )
      @ ( X0
        @ ^ [Y0: a,Y1: a] : Y1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ~ ( sk_ @ sk__2 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SEV162^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KIJQGbuhO9 true
% 0.14/0.35  % Computer : n001.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 15:39:23 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
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.55/0.63  % Total configuration time : 828
% 0.55/0.63  % Estimated wc time : 1656
% 0.55/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75  % Solved by lams/40_c.s.sh.
% 0.56/0.75  % done 1 iterations in 0.012s
% 0.56/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.75  % SZS output start Refutation
% See solution above
% 0.56/0.75  
% 0.56/0.75  
% 0.56/0.75  % Terminating...
% 0.58/0.86  % Runner terminated.
% 1.77/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------