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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO108^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hl1lA58UtK true

% Computer : n004.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 05:06:29 PM UTC 2025

% Result   : Theorem 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   18 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   67 (   0 equ;  10 cnn)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  135 (  30   ~;  23   |;   0   &;  66   @)
%                                         (   0 <=>;   0  =>;   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     :   10 (   6 usr;   7 con; 0-1 aty)
%                                         (  10  !!;   6  ??;   0 @@+;   0 @@-)
%            Number of variables   :   37 (  16   ^;  17   !;   4   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk3_type',type,
    '#sk3': $i ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf(cG_type,type,
    cG: $i > $o ).

thf(cM_type,type,
    cM: $i > $o ).

thf(cN_type,type,
    cN: $i > $o ).

thf('#sk2_type',type,
    '#sk2': $i ).

thf(cTHM79,conjecture,
    ( ! [R: $i] : ( cM @ R )
    | ? [X: $i] :
        ~ ( cG @ X )
    | ~ ! [Y: $i] :
          ( ( cM @ Y )
          | ? [S: $i] : ( cN @ S ) )
    | ~ ! [Z: $i] :
          ( ~ ( cN @ Z )
          | ~ ! [T: $i] : ( cG @ T ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [R: $i] : ( cM @ R )
      | ? [X: $i] :
          ~ ( cG @ X )
      | ~ ! [Y: $i] :
            ( ( cM @ Y )
            | ? [S: $i] : ( cN @ S ) )
      | ~ ! [Z: $i] :
            ( ~ ( cN @ Z )
            | ~ ! [T: $i] : ( cG @ T ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM79]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] : ( cM @ Y0 ) )
      | ( ??
        @ ^ [Y0: $i] : ( (~) @ ( cG @ Y0 ) ) )
      | ( (~)
        @ ( !!
          @ ^ [Y0: $i] :
              ( ( cM @ Y0 )
              | ( ??
                @ ^ [Y1: $i] : ( cN @ Y1 ) ) ) ) )
      | ( (~)
        @ ( !!
          @ ^ [Y0: $i] :
              ( ( (~) @ ( cN @ Y0 ) )
              | ( (~)
                @ ( !!
                  @ ^ [Y1: $i] : ( cG @ Y1 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: $i] : ( cM @ Y0 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl7,plain,
    ~ ( cM @ '#sk1' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( cM @ Y0 )
        | ( ??
          @ ^ [Y1: $i] : ( cN @ Y1 ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( ( cM @ X2 )
      | ( ??
        @ ^ [Y0: $i] : ( cN @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ( ( cM @ X2 )
      | ( ??
        @ ^ [Y0: $i] : ( cN @ Y0 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i] :
      ( ( cN @ '#sk2' )
      | ( cM @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( (~) @ ( cN @ Y0 ) )
        | ( (~)
          @ ( !!
            @ ^ [Y1: $i] : ( cG @ Y1 ) ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ( (~) @ ( cN @ X2 ) )
      | ( (~)
        @ ( !!
          @ ^ [Y0: $i] : ( cG @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] :
      ( ~ ( cN @ X2 )
      | ~ ( !!
          @ ^ [Y0: $i] : ( cG @ Y0 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i] :
      ( ~ ( cG @ '#sk3' )
      | ~ ( cN @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl4,plain,
    ~ ( ??
      @ ^ [Y0: $i] : ( (~) @ ( cG @ Y0 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] : ( cG @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i] :
      ~ ( cN @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl8]) ).

thf(zip_derived_cl16,plain,
    ! [X2: $i] : ( cM @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl15]) ).

thf(zip_derived_cl17,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl16]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO108^5 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hl1lA58UtK true
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 18:18:53 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.56/0.67  % Total configuration time : 828
% 0.56/0.67  % Estimated wc time : 1656
% 0.56/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.80  % Solved by lams/15_e_short1.sh.
% 0.57/0.80  % done 4 iterations in 0.010s
% 0.57/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.80  % SZS output start Refutation
% See solution above
% 0.57/0.80  
% 0.57/0.80  
% 0.57/0.80  % Terminating...
% 1.91/0.87  % Runner terminated.
% 1.91/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------