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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN726+1 : TPTP v9.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QoWwFeVt9n true

% Computer : n029.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 05:05:38 PM UTC 2025

% Result   : Theorem 1.28s 0.71s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   27 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   69 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  194 (  16   ~;  24   |;  10   &; 136   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   65 (   0   ^;  65   !;   0   ?;  65   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

thf(p_type,type,
    p: $i > $i > $o ).

thf(q_type,type,
    q: $i > $i > $o ).

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

thf(sk__3_type,type,
    sk__3: $i ).

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

thf(thm400,conjecture,
    ( ! [X: $i,Y: $i] : ( q @ X @ Y )
    | ( ( ! [X: $i,Y: $i,Z: $i] :
            ( ( ( p @ X @ Y )
              & ( p @ Y @ Z ) )
           => ( p @ X @ Z ) )
        & ! [X: $i,Y: $i,Z: $i] :
            ( ( ( q @ X @ Y )
              & ( q @ Y @ Z ) )
           => ( q @ X @ Z ) )
        & ! [X: $i,Y: $i] :
            ( ( q @ X @ Y )
           => ( q @ Y @ X ) )
        & ! [X: $i,Y: $i] :
            ( ( q @ X @ Y )
            | ( p @ X @ Y ) ) )
     => ! [X: $i,Y: $i] : ( p @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X: $i,Y: $i] : ( q @ X @ Y )
      | ( ( ! [X: $i,Y: $i,Z: $i] :
              ( ( ( p @ X @ Y )
                & ( p @ Y @ Z ) )
             => ( p @ X @ Z ) )
          & ! [X: $i,Y: $i,Z: $i] :
              ( ( ( q @ X @ Y )
                & ( q @ Y @ Z ) )
             => ( q @ X @ Z ) )
          & ! [X: $i,Y: $i] :
              ( ( q @ X @ Y )
             => ( q @ Y @ X ) )
          & ! [X: $i,Y: $i] :
              ( ( q @ X @ Y )
              | ( p @ X @ Y ) ) )
       => ! [X: $i,Y: $i] : ( p @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[thm400]) ).

thf(zip_derived_cl5,plain,
    ~ ( q @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( q @ X0 @ X1 )
      | ( p @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( q @ X0 @ X1 )
      | ( p @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X7: $i,X8: $i,X9: $i] :
      ( ~ ( p @ X7 @ X8 )
      | ~ ( p @ X8 @ X9 )
      | ( p @ X7 @ X9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( q @ X1 @ X0 )
      | ~ ( p @ X0 @ X2 )
      | ( p @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( q @ X1 @ X0 )
      | ( q @ X2 @ X1 )
      | ( p @ X2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl14]) ).

thf(zip_derived_cl0,plain,
    ~ ( p @ sk__2 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( q @ sk__2 @ X0 )
      | ( q @ X0 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i] :
      ( ( q @ X2 @ X3 )
      | ~ ( q @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( q @ sk__2 @ X0 )
      | ( q @ sk__3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl2]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( q @ X0 @ X1 )
      | ( p @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_003,plain,
    ~ ( p @ sk__2 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    q @ sk__2 @ sk__3,
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl2_004,plain,
    ! [X2: $i,X3: $i] :
      ( ( q @ X2 @ X3 )
      | ~ ( q @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    q @ sk__3 @ sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).

thf(zip_derived_cl3,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ~ ( q @ X4 @ X5 )
      | ~ ( q @ X5 @ X6 )
      | ( q @ X4 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ~ ( q @ sk__2 @ X0 )
      | ( q @ sk__3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] : ( q @ sk__3 @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl33,zip_derived_cl10]) ).

thf(zip_derived_cl2_005,plain,
    ! [X2: $i,X3: $i] :
      ( ( q @ X2 @ X3 )
      | ~ ( q @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] : ( q @ X0 @ sk__3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl2]) ).

thf(zip_derived_cl3_006,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ~ ( q @ X4 @ X5 )
      | ~ ( q @ X5 @ X6 )
      | ( q @ X4 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( q @ sk__3 @ X1 )
      | ( q @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl3]) ).

thf(zip_derived_cl45_007,plain,
    ! [X0: $i] : ( q @ sk__3 @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl33,zip_derived_cl10]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i] : ( q @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl45]) ).

thf(zip_derived_cl63,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl62]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SYN726+1 : TPTP v9.2.0. Released v2.5.0.
% 0.02/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QoWwFeVt9n true
% 0.09/0.30  % Computer : n029.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Wed Oct  1 13:40:08 EDT 2025
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Running portfolio for 300 s
% 0.09/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30  % Number of cores: 8
% 0.09/0.31  % Python version: Python 3.6.8
% 0.09/0.31  % Running in FO mode
% 0.53/0.58  % Total configuration time : 435
% 0.53/0.58  % Estimated wc time : 1092
% 0.53/0.58  % Estimated cpu time (7 cpus) : 156.0
% 1.02/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.02/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.02/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.02/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.02/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.71  % Solved by fo/fo13.sh.
% 1.28/0.71  % done 24 iterations in 0.021s
% 1.28/0.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/0.71  % SZS output start Refutation
% See solution above
% 1.28/0.71  
% 1.28/0.71  
% 1.28/0.71  % Terminating...
% 1.50/0.79  % Runner terminated.
% 1.50/0.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------