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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN345+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.tiqSSdc9Cw true

% Computer : n010.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 05:04:32 PM UTC 2025

% Result   : Theorem 0.49s 0.70s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   21 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   59 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  239 (  15   ~;  16   |;   2   &; 186   @)
%                                         (   2 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   28 (   0   ^;  24   !;   4   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

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

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

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

thf(church_46_16_4,conjecture,
    ! [X1: $i,X2: $i] :
    ? [Y1: $i,Y2: $i] :
    ! [Z: $i] :
      ( ( ( ( big_f @ X1 @ X2 @ Y1 )
         => ( big_f @ Y2 @ Y1 @ Z ) )
       => ( ( big_f @ X1 @ X1 @ X2 )
         => ( big_f @ X1 @ X2 @ X2 ) ) )
     => ( ( ( ( big_f @ X2 @ Y1 @ Y2 )
           => ( big_f @ Y1 @ Z @ Z ) )
         => ( ( big_f @ X1 @ X2 @ X2 )
           => ( big_f @ X1 @ X1 @ X2 ) ) )
       => ( ( big_f @ Y1 @ Y2 @ Z )
         => ( ( big_f @ X2 @ X2 @ Y1 )
            & ( ( big_f @ X1 @ X1 @ X2 )
            <=> ( big_f @ X1 @ X2 @ X2 ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X1: $i,X2: $i] :
      ? [Y1: $i,Y2: $i] :
      ! [Z: $i] :
        ( ( ( ( big_f @ X1 @ X2 @ Y1 )
           => ( big_f @ Y2 @ Y1 @ Z ) )
         => ( ( big_f @ X1 @ X1 @ X2 )
           => ( big_f @ X1 @ X2 @ X2 ) ) )
       => ( ( ( ( big_f @ X2 @ Y1 @ Y2 )
             => ( big_f @ Y1 @ Z @ Z ) )
           => ( ( big_f @ X1 @ X2 @ X2 )
             => ( big_f @ X1 @ X1 @ X2 ) ) )
         => ( ( big_f @ Y1 @ Y2 @ Z )
           => ( ( big_f @ X2 @ X2 @ Y1 )
              & ( ( big_f @ X1 @ X1 @ X2 )
              <=> ( big_f @ X1 @ X2 @ X2 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[church_46_16_4]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] : ( big_f @ X0 @ X1 @ ( sk__2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( big_f @ sk__1 @ sk__1 @ X0 )
      | ~ ( big_f @ sk_ @ sk__1 @ sk__1 )
      | ~ ( big_f @ sk_ @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: $i,X1: $i] : ( big_f @ X0 @ X1 @ ( sk__2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( big_f @ sk__1 @ sk__1 @ X0 )
      | ( big_f @ sk_ @ sk__1 @ sk__1 )
      | ( big_f @ sk_ @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ~ ( big_f @ sk_ @ sk_ @ sk__1 )
      | ( big_f @ sk_ @ sk__1 @ sk__1 )
      | ( big_f @ sk_ @ sk__1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ( ~ ( big_f @ sk_ @ sk_ @ sk__1 )
    | ( big_f @ sk_ @ sk__1 @ sk__1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( big_f @ sk_ @ sk__1 @ sk__1 )
      | ~ ( big_f @ sk__1 @ sk__1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    big_f @ sk_ @ sk__1 @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ~ ( big_f @ sk__1 @ sk__1 @ X0 )
      | ~ ( big_f @ sk_ @ sk_ @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ sk_ @ sk__1 @ sk__1 )
      | ( big_f @ sk_ @ sk_ @ sk__1 )
      | ( big_f @ sk__1 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9_002,plain,
    big_f @ sk_ @ sk__1 @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ sk_ @ sk_ @ sk__1 )
      | ( big_f @ sk__1 @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl9]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_f @ sk_ @ sk__1 @ sk__1 )
      | ( big_f @ sk_ @ sk_ @ sk__1 )
      | ~ ( big_f @ X0 @ ( sk__2 @ X1 @ X0 ) @ ( sk__2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9_003,plain,
    big_f @ sk_ @ sk__1 @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ sk_ @ sk_ @ sk__1 )
      | ~ ( big_f @ X0 @ ( sk__2 @ X1 @ X0 ) @ ( sk__2 @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ( ( big_f @ sk_ @ sk_ @ sk__1 )
    | ( big_f @ sk_ @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    big_f @ sk_ @ sk_ @ sk__1,
    inference(simplify,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ~ ( big_f @ sk__1 @ sk__1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl14]) ).

thf(zip_derived_cl16,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN345+1 : TPTP v9.2.0. Released v2.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tiqSSdc9Cw true
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 13:38:23 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/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 FO mode
% 0.47/0.58  % Total configuration time : 435
% 0.47/0.58  % Estimated wc time : 1092
% 0.47/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.70  % Solved by fo/fo6_bce.sh.
% 0.49/0.70  % BCE start: 7
% 0.49/0.70  % BCE eliminated: 0
% 0.49/0.70  % PE start: 7
% 0.49/0.70  logic: neq
% 0.49/0.70  % PE eliminated: 0
% 0.49/0.70  % done 10 iterations in 0.013s
% 0.49/0.70  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.70  % SZS output start Refutation
% See solution above
% 0.49/0.70  
% 0.49/0.70  
% 0.49/0.70  % Terminating...
% 0.56/0.80  % Runner terminated.
% 0.56/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------