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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU941^5 : 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.zVM9yONwRY true

% Computer : n021.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 04:56:54 PM UTC 2025

% Result   : Theorem 0.54s 0.84s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (  27 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   63 (   9   ~;   4   |;   2   &;  40   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(a_type,type,
    a: $tType ).

thf(c_type,type,
    c: $tType ).

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

thf(sk__3_type,type,
    sk__3: a ).

thf(sk__2_type,type,
    sk__2: a ).

thf('#_fresh_sk1_type',type,
    '#_fresh_sk1': c > b ).

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

thf(cFN_THM_1_pme,conjecture,
    ! [F: a > b,G: b > c] :
      ( ( ! [Xx: a,Xy: a] :
            ( ( ( F @ Xx )
              = ( F @ Xy ) )
           => ( Xx = Xy ) )
        & ! [Xx: b,Xy: b] :
            ( ( ( G @ Xx )
              = ( G @ Xy ) )
           => ( Xx = Xy ) ) )
     => ! [Xx: a,Xy: a] :
          ( ( ( G @ ( F @ Xx ) )
            = ( G @ ( F @ Xy ) ) )
         => ( Xx = Xy ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [F: a > b,G: b > c] :
        ( ( ! [Xx: a,Xy: a] :
              ( ( ( F @ Xx )
                = ( F @ Xy ) )
             => ( Xx = Xy ) )
          & ! [Xx: b,Xy: b] :
              ( ( ( G @ Xx )
                = ( G @ Xy ) )
             => ( Xx = Xy ) ) )
       => ! [Xx: a,Xy: a] :
            ( ( ( G @ ( F @ Xx ) )
              = ( G @ ( F @ Xy ) ) )
           => ( Xx = Xy ) ) ),
    inference('cnf.neg',[status(esa)],[cFN_THM_1_pme]) ).

thf(zip_derived_cl3,plain,
    ! [X2: a,X3: a] :
      ( ( X3 = X2 )
      | ( ( sk_ @ X3 )
       != ( sk_ @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    sk__2 != sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ! [X0: a] :
      ( ( sk__2 != X0 )
      | ( ( sk_ @ sk__3 )
       != ( sk_ @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl0,plain,
    ( ( sk__1 @ ( sk_ @ sk__2 ) )
    = ( sk__1 @ ( sk_ @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: b,X1: b] :
      ( ( X1 = X0 )
      | ( ( sk__1 @ X1 )
       != ( sk__1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X1: b] :
      ( ( '#_fresh_sk1' @ ( sk__1 @ X1 ) )
      = X1 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl15,plain,
    ( ( '#_fresh_sk1' @ ( sk__1 @ ( sk_ @ sk__2 ) ) )
    = ( sk_ @ sk__3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl9]) ).

thf(zip_derived_cl9_001,plain,
    ! [X1: b] :
      ( ( '#_fresh_sk1' @ ( sk__1 @ X1 ) )
      = X1 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl17,plain,
    ( ( sk_ @ sk__2 )
    = ( sk_ @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl9]) ).

thf(zip_derived_cl39,plain,
    ! [X0: a] :
      ( ( sk__2 != X0 )
      | ( ( sk_ @ sk__2 )
       != ( sk_ @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).

thf(zip_derived_cl40,plain,
    ( ( sk_ @ sk__2 )
   != ( sk_ @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl41,plain,
    $false,
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl40]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU941^5 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zVM9yONwRY true
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 16:14:08 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in HO mode
% 0.52/0.67  % Total configuration time : 828
% 0.52/0.67  % Estimated wc time : 1656
% 0.52/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.79  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.79  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.79  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.82  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.82  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.83  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.84  % Solved by lams/40_c.s.sh.
% 0.54/0.84  % done 6 iterations in 0.015s
% 0.54/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.84  % SZS output start Refutation
% See solution above
% 0.54/0.84  
% 0.54/0.84  
% 0.54/0.84  % Terminating...
% 0.58/0.98  % Runner terminated.
% 0.58/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------