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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN381+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.UuGSaDqbHa true

% Computer : n003.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 05:04:39 PM UTC 2025

% Result   : Theorem 0.89s 0.70s
% Output   : Refutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   70 (   6   ~;   6   |;   4   &;  48   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  18   !;   4   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

thf(big_q_type,type,
    big_q: $i > $i > $o ).

thf(big_p_type,type,
    big_p: $i > $o ).

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

thf(x2133,conjecture,
    ( ( ! [X: $i] :
          ( ? [Y: $i] : ( big_q @ X @ Y )
         => ( big_p @ X ) )
      & ! [V: $i] :
        ? [U: $i] : ( big_q @ U @ V )
      & ! [W: $i,Z: $i] :
          ( ( big_q @ W @ Z )
         => ( ( big_q @ Z @ W )
            | ( big_q @ Z @ Z ) ) ) )
   => ! [Z: $i] : ( big_p @ Z ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: $i] :
            ( ? [Y: $i] : ( big_q @ X @ Y )
           => ( big_p @ X ) )
        & ! [V: $i] :
          ? [U: $i] : ( big_q @ U @ V )
        & ! [W: $i,Z: $i] :
            ( ( big_q @ W @ Z )
           => ( ( big_q @ Z @ W )
              | ( big_q @ Z @ Z ) ) ) )
     => ! [Z: $i] : ( big_p @ Z ) ),
    inference('cnf.neg',[status(esa)],[x2133]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i] : ( big_q @ ( sk__1 @ X2 ) @ X2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X3: $i,X4: $i] :
      ( ( big_q @ X3 @ X3 )
      | ( big_q @ X3 @ X4 )
      | ~ ( big_q @ X4 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( big_q @ X0 @ X0 )
      | ( big_q @ X0 @ ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).

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

thf(zip_derived_cl3,plain,
    ~ ( big_p @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ~ ( big_q @ sk_ @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl11,plain,
    big_q @ sk_ @ sk_,
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl4_001,plain,
    ! [X0: $i] :
      ~ ( big_q @ sk_ @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl14,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYN381+1 : TPTP v9.2.0. Released v2.0.0.
% 0.10/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UuGSaDqbHa true
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 13:30:38 EDT 2025
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in FO mode
% 0.16/0.58  % Total configuration time : 435
% 0.16/0.58  % Estimated wc time : 1092
% 0.16/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.89/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.89/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.89/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.89/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.89/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.89/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.89/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.89/0.70  % Solved by fo/fo6_bce.sh.
% 0.89/0.70  % BCE start: 4
% 0.89/0.70  % BCE eliminated: 0
% 0.89/0.70  % PE start: 4
% 0.89/0.70  logic: neq
% 0.89/0.70  % PE eliminated: 1
% 0.89/0.70  % done 4 iterations in 0.008s
% 0.89/0.70  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.89/0.70  % SZS output start Refutation
% See solution above
% 0.89/0.70  
% 0.89/0.70  
% 0.89/0.70  % Terminating...
% 1.54/0.78  % Runner terminated.
% 1.54/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------