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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV054^5 : 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.yE2HDmlzK7 true

% Computer : n014.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 04:57:05 PM UTC 2025

% Result   : Theorem 0.61s 0.86s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :    3 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :   85 (   4   ~;   1   |;   6   &;  60   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   30 (   0   ^;  28   !;   2   ?;  30   :)

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

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

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

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

thf(cTHM403_pme,conjecture,
    ! [R: a > a > $o,U: ( a > $o ) > a] :
      ( ( ! [Xx: a,Xy: a,Xz: a] :
            ( ( ( R @ Xx @ Xy )
              & ( R @ Xy @ Xz ) )
           => ( R @ Xx @ Xz ) )
        & ! [Xs: a > $o] :
            ( ! [Xj: a] :
                ( ! [Xk: a] :
                    ( ( Xs @ Xk )
                   => ( R @ Xk @ Xj ) )
               => ( R @ ( U @ Xs ) @ Xj ) )
            & ! [Xz: a] :
                ( ( Xs @ Xz )
               => ( R @ Xz @ ( U @ Xs ) ) ) ) )
     => ! [Xf: a > a] :
          ( ! [Xx: a,Xy: a] :
              ( ( R @ Xx @ Xy )
             => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
         => ? [Xw: a] : ( R @ ( Xf @ Xw ) @ Xw ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [R: a > a > $o,U: ( a > $o ) > a] :
        ( ( ! [Xx: a,Xy: a,Xz: a] :
              ( ( ( R @ Xx @ Xy )
                & ( R @ Xy @ Xz ) )
             => ( R @ Xx @ Xz ) )
          & ! [Xs: a > $o] :
              ( ! [Xj: a] :
                  ( ! [Xk: a] :
                      ( ( Xs @ Xk )
                     => ( R @ Xk @ Xj ) )
                 => ( R @ ( U @ Xs ) @ Xj ) )
              & ! [Xz: a] :
                  ( ( Xs @ Xz )
                 => ( R @ Xz @ ( U @ Xs ) ) ) ) )
       => ! [Xf: a > a] :
            ( ! [Xx: a,Xy: a] :
                ( ( R @ Xx @ Xy )
               => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
           => ? [Xw: a] : ( R @ ( Xf @ Xw ) @ Xw ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM403_pme]) ).

thf(zip_derived_cl0,plain,
    ! [X0: a,X1: a > $o] :
      ( ( sk_ @ X0 @ ( sk__2 @ X1 ) )
      | ~ ( X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X7: a] :
      ~ ( sk_ @ ( sk__1 @ X7 ) @ X7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ! [X0: a > $o] :
      ~ ( X0 @ ( sk__1 @ ( sk__2 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl55,plain,
    $false,
    inference(flex_resolve,[status(thm)],[zip_derived_cl20]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEV054^5 : TPTP v9.2.0. Released v4.0.0.
% 0.15/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yE2HDmlzK7 true
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 15:40:53 EDT 2025
% 0.21/0.36  % CPUTime  : 
% 0.21/0.36  % Running portfolio for 300 s
% 0.21/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.36  % Number of cores: 8
% 0.21/0.37  % Python version: Python 3.6.8
% 0.21/0.37  % Running in HO mode
% 0.59/0.71  % Total configuration time : 828
% 0.59/0.71  % Estimated wc time : 1656
% 0.59/0.71  % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.81  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.86  % Solved by lams/40_c_ic.sh.
% 0.61/0.86  % done 7 iterations in 0.028s
% 0.61/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.86  % SZS output start Refutation
% See solution above
% 0.61/0.86  
% 0.61/0.86  
% 0.61/0.86  % Terminating...
% 0.61/0.91  % Runner terminated.
% 0.61/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------