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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN327+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JiDu6kfcWp true

% Computer : n013.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 05:04:29 PM UTC 2025

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   73 (   9   ~;   3   |;   4   &;  49   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;   9   !;   2   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_f_type,type,
    big_f: $i > $i > $o ).

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

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

thf(church_46_12_2,conjecture,
    ! [X: $i] :
    ? [Y: $i] :
    ! [Z: $i] :
      ( ( big_f @ Y @ X )
     => ( ( ( big_f @ X @ Z )
         => ( big_f @ X @ Y ) )
        & ( ( big_f @ X @ Y )
         => ( ~ ( big_f @ X @ Z )
           => ( ( big_f @ Y @ X )
              & ( big_f @ Z @ Y ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
      ? [Y: $i] :
      ! [Z: $i] :
        ( ( big_f @ Y @ X )
       => ( ( ( big_f @ X @ Z )
           => ( big_f @ X @ Y ) )
          & ( ( big_f @ X @ Y )
           => ( ~ ( big_f @ X @ Z )
             => ( ( big_f @ Y @ X )
                & ( big_f @ Z @ Y ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[church_46_12_2]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] : ( big_f @ X0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ~ ( big_f @ sk_ @ X0 )
      | ~ ( big_f @ X0 @ sk_ )
      | ~ ( big_f @ ( sk__1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i] : ( big_f @ X0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( big_f @ sk_ @ X0 )
      | ~ ( big_f @ ( sk__1 @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    ~ ( big_f @ ( sk__1 @ sk_ ) @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl8]) ).

thf(zip_derived_cl6_002,plain,
    ! [X0: $i] : ( big_f @ X0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN327+1 : TPTP v9.2.0. Released v2.0.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JiDu6kfcWp true
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 13:44:38 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.56/0.65  % Total configuration time : 435
% 0.56/0.65  % Estimated wc time : 1092
% 0.56/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.74  % Solved by fo/fo6_bce.sh.
% 0.58/0.74  % BCE start: 7
% 0.58/0.74  % BCE eliminated: 0
% 0.58/0.74  % PE start: 7
% 0.58/0.74  logic: neq
% 0.58/0.74  % PE eliminated: 0
% 0.58/0.74  % done 3 iterations in 0.008s
% 0.58/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.74  % SZS output start Refutation
% See solution above
% 0.58/0.74  
% 0.58/0.74  
% 0.58/0.74  % Terminating...
% 0.58/0.77  % Runner terminated.
% 1.44/0.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------