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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU935^5 : 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.EU7IEGmMZw true

% Computer : n017.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 04:56:53 PM UTC 2025

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (  11 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (   4   ~;   0   |;   2   &;  15   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  15   !;   6   ?;  21   :)

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

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

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

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

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

thf(sk__3_type,type,
    sk__3: c ).

thf(sk__4_type,type,
    sk__4: c > b ).

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

thf(cFN_THM_2_pme,conjecture,
    ! [F: a > b,G: b > c] :
      ( ( ! [Y: b] :
          ? [X: a] :
            ( ( F @ X )
            = Y )
        & ! [Y: c] :
          ? [X: b] :
            ( ( G @ X )
            = Y ) )
     => ! [Y: c] :
        ? [X: a] :
          ( ( G @ ( F @ X ) )
          = Y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [F: a > b,G: b > c] :
        ( ( ! [Y: b] :
            ? [X: a] :
              ( ( F @ X )
              = Y )
          & ! [Y: c] :
            ? [X: b] :
              ( ( G @ X )
              = Y ) )
       => ! [Y: c] :
          ? [X: a] :
            ( ( G @ ( F @ X ) )
            = Y ) ),
    inference('cnf.neg',[status(esa)],[cFN_THM_2_pme]) ).

thf(zip_derived_cl1,plain,
    ! [X1: c] :
      ( ( sk__2 @ ( sk__4 @ X1 ) )
      = X1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: b] :
      ( ( sk_ @ ( sk__1 @ X2 ) )
      = X2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: a] :
      ( ( sk__2 @ ( sk_ @ X0 ) )
     != sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: b] :
      ( ( sk__2 @ X0 )
     != sk__3 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: c] : ( X0 != sk__3 ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU935^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EU7IEGmMZw true
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 16:12:53 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % 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
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.74  % Solved by lams/40_c.s.sh.
% 0.56/0.74  % done 3 iterations in 0.006s
% 0.56/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.74  % SZS output start Refutation
% See solution above
% 0.56/0.74  
% 0.56/0.74  
% 0.56/0.74  % Terminating...
% 1.55/0.78  % Runner terminated.
% 1.55/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------