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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU961^5 : 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.1JeIWNhj9c true

% Computer : n027.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 04:56:55 PM UTC 2025

% Result   : Theorem 1.22s 0.74s
% Output   : Refutation 1.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (  10 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   63 (   5   ~;   0   |;   6   &;  38   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   32 (   8   ^;  24   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk1_type',type,
    '#sk1': $i ).

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

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

thf(sk__type,type,
    sk_: $i > $i ).

thf(cTHM196C_pme,conjecture,
    ( ( ! [Xa: $i,Xb: $i] : ( Xa = Xb )
      & ! [Xf: $i > $i,Xg: $i > $i] :
          ( ! [Xx: $i] :
              ( ( Xf @ Xx )
              = ( Xg @ Xx ) )
         => ( Xf = Xg ) ) )
   => ! [Xj: $i > $i,Xk: $i > $i] :
        ( ! [Xp: ( $i > $i ) > $o] :
            ( ( ( Xp @ Xj )
              & ! [Xj_0: $i > $i] :
                  ( ( Xp @ Xj_0 )
                 => ( Xp
                    @ ^ [Xx: $i] : ( Xj @ ( Xj_0 @ Xx ) ) ) ) )
           => ( Xp
              @ ^ [Xx: $i] : ( Xk @ ( Xj @ Xx ) ) ) )
       => ! [Xp: ( $i > $i ) > $o] :
            ( ( ( Xp @ Xj )
              & ! [Xj_1: $i > $i] :
                  ( ( Xp @ Xj_1 )
                 => ( Xp
                    @ ^ [Xx: $i] : ( Xj @ ( Xj_1 @ Xx ) ) ) ) )
           => ( Xp @ Xk ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xa: $i,Xb: $i] : ( Xa = Xb )
        & ! [Xf: $i > $i,Xg: $i > $i] :
            ( ! [Xx: $i] :
                ( ( Xf @ Xx )
                = ( Xg @ Xx ) )
           => ( Xf = Xg ) ) )
     => ! [Xj: $i > $i,Xk: $i > $i] :
          ( ! [Xp: ( $i > $i ) > $o] :
              ( ( ( Xp @ Xj )
                & ! [Xj_0: $i > $i] :
                    ( ( Xp @ Xj_0 )
                   => ( Xp
                      @ ^ [Xx: $i] : ( Xj @ ( Xj_0 @ Xx ) ) ) ) )
             => ( Xp
                @ ^ [Xx: $i] : ( Xk @ ( Xj @ Xx ) ) ) )
         => ! [Xp: ( $i > $i ) > $o] :
              ( ( ( Xp @ Xj )
                & ! [Xj_1: $i > $i] :
                    ( ( Xp @ Xj_1 )
                   => ( Xp
                      @ ^ [Xx: $i] : ( Xj @ ( Xj_1 @ Xx ) ) ) ) )
             => ( Xp @ Xk ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM196C_pme]) ).

thf(zip_derived_cl2,plain,
    sk__2 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ~ ( sk__2 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ( ( ^ [Y0: $i] : ( sk_ @ Y0 ) )
   != ( ^ [Y0: $i] : ( sk__1 @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    sk_ != sk__1,
    inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ( ( sk_ @ '#sk1' )
   != ( sk__1 @ '#sk1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] : ( X1 = X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    $false,
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SEU961^5 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1JeIWNhj9c true
% 0.12/0.32  % Computer : n027.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Wed Oct  1 16:08:38 EDT 2025
% 0.12/0.32  % CPUTime  : 
% 0.12/0.32  % Running portfolio for 300 s
% 0.12/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32  % Number of cores: 8
% 0.12/0.32  % Python version: Python 3.6.8
% 0.12/0.32  % Running in HO mode
% 0.74/0.63  % Total configuration time : 828
% 0.74/0.63  % Estimated wc time : 1656
% 0.74/0.63  % Estimated cpu time (8 cpus) : 207.0
% 1.22/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.22/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.22/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.22/0.71  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.22/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.22/0.74  % Solved by lams/40_c.s.sh.
% 1.22/0.74  % done 3 iterations in 0.010s
% 1.22/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/0.74  % SZS output start Refutation
% See solution above
% 1.22/0.74  
% 1.22/0.74  
% 1.22/0.74  % Terminating...
% 1.44/0.83  % Runner terminated.
% 1.44/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------