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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU957^5 : 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.pLzN3X1w81 true

% Computer : n026.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 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (  13 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   41 (   3   ~;   0   |;   0   &;  30   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  12   !;  10   ?;  22   :)

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

thf(b_type,type,
    b: $tType ).

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

thf(sk__type,type,
    sk_: a > b ).

thf(sk__3_type,type,
    sk__3: ( b > a ) > b ).

thf(sk__2_type,type,
    sk__2: ( b > a ) > b ).

thf(cTHM607_pme,conjecture,
    ( ? [Xc: ( a > $o ) > a] :
      ! [X: a > $o] :
        ( ? [Xt: a] : ( X @ Xt )
       => ( X @ ( Xc @ X ) ) )
   => ( ? [Xg: a > b] :
        ! [Y: b] :
        ? [X: a] :
          ( ( Xg @ X )
          = Y )
     => ? [Xf: b > a] :
        ! [Xx: b,Xy: b] :
          ( ( ( Xf @ Xx )
            = ( Xf @ Xy ) )
         => ( Xx = Xy ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ? [Xc: ( a > $o ) > a] :
        ! [X: a > $o] :
          ( ? [Xt: a] : ( X @ Xt )
         => ( X @ ( Xc @ X ) ) )
     => ( ? [Xg: a > b] :
          ! [Y: b] :
          ? [X: a] :
            ( ( Xg @ X )
            = Y )
       => ? [Xf: b > a] :
          ! [Xx: b,Xy: b] :
            ( ( ( Xf @ Xx )
              = ( Xf @ Xy ) )
           => ( Xx = Xy ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM607_pme]) ).

thf(zip_derived_cl2,plain,
    ! [X2: b > a] :
      ( ( X2 @ ( sk__2 @ X2 ) )
      = ( X2 @ ( sk__3 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X3: b] :
      ( ( sk_ @ ( sk__1 @ X3 ) )
      = X3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ( ( sk_ @ ( sk__1 @ ( sk__2 @ sk__1 ) ) )
    = ( sk__3 @ sk__1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl3_001,plain,
    ! [X3: b] :
      ( ( sk_ @ ( sk__1 @ X3 ) )
      = X3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ( ( sk__2 @ sk__1 )
    = ( sk__3 @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl1,plain,
    ! [X2: b > a] :
      ( ( sk__2 @ X2 )
     != ( sk__3 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    ( ( sk__2 @ sk__1 )
   != ( sk__2 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1]) ).

thf(zip_derived_cl53,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SEU957^5 : 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.pLzN3X1w81 true
% 0.14/0.35  % Computer : n026.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 16:01:08 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.55/0.67  % Total configuration time : 828
% 0.55/0.67  % Estimated wc time : 1656
% 0.55/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.80  % Solved by lams/40_c.s.sh.
% 0.57/0.80  % done 6 iterations in 0.029s
% 0.57/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80  % SZS output start Refutation
% See solution above
% 0.57/0.80  
% 0.57/0.80  
% 0.57/0.80  % Terminating...
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.83/0.85  % Runner terminated.
% 1.83/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------