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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU134+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6wAVInGRQJ true

% Computer : n001.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 04:53:32 PM UTC 2025

% Result   : Theorem 0.54s 2.27s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (  11 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   60 (  10   ~;   7   |;   0   &;  40   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__9_type,type,
    sk__9: $i ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(set_difference_type,type,
    set_difference: $i > $i > $i ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(l32_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( set_difference @ A @ B )
        = empty_set )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_difference @ X0 @ X1 )
        = empty_set )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l32_xboole_1]) ).

thf(t37_xboole_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( set_difference @ A @ B )
        = empty_set )
    <=> ( subset @ A @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( set_difference @ A @ B )
          = empty_set )
      <=> ( subset @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[t37_xboole_1]) ).

thf(zip_derived_cl60,plain,
    ( ~ ( subset @ sk__8 @ sk__9 )
    | ( ( set_difference @ sk__8 @ sk__9 )
     != empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    ( ( subset @ sk__8 @ sk__9 )
    | ( ( set_difference @ sk__8 @ sk__9 )
      = empty_set ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( ( set_difference @ X0 @ X1 )
       != empty_set ) ),
    inference(cnf,[status(esa)],[l32_xboole_1]) ).

thf(zip_derived_cl378,plain,
    ( ( subset @ sk__8 @ sk__9 )
    | ( subset @ sk__8 @ sk__9 )
    | ( empty_set != empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl40]) ).

thf(zip_derived_cl380,plain,
    subset @ sk__8 @ sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl378]) ).

thf(zip_derived_cl382,plain,
    ( ( set_difference @ sk__8 @ sk__9 )
   != empty_set ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl380]) ).

thf(zip_derived_cl430,plain,
    ( ~ ( subset @ sk__8 @ sk__9 )
    | ( empty_set != empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl382]) ).

thf(zip_derived_cl380_001,plain,
    subset @ sk__8 @ sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl378]) ).

thf(zip_derived_cl433,plain,
    empty_set != empty_set,
    inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl380]) ).

thf(zip_derived_cl434,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl433]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.91  % Problem  : SEU134+2 : TPTP v9.2.0. Released v3.3.0.
% 0.12/0.99  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6wAVInGRQJ true
% 0.15/1.39  % Computer : n001.cluster.edu
% 0.15/1.39  % Model    : x86_64 x86_64
% 0.15/1.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/1.39  % Memory   : 8042.1875MB
% 0.15/1.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/1.39  % CPULimit : 300
% 0.15/1.39  % WCLimit  : 300
% 0.15/1.39  % DateTime : Wed Oct  1 16:12:39 EDT 2025
% 0.19/1.40  % CPUTime  : 
% 0.19/1.40  % Running portfolio for 300 s
% 0.19/1.40  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/1.42  % Number of cores: 8
% 0.19/1.43  % Python version: Python 3.6.8
% 0.19/1.44  % Running in FO mode
% 0.48/1.94  % Total configuration time : 435
% 0.48/1.94  % Estimated wc time : 1092
% 0.48/1.94  % Estimated cpu time (7 cpus) : 156.0
% 0.53/2.09  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/2.14  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/2.17  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/2.19  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/2.22  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/2.24  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/2.27  % Solved by fo/fo6_bce.sh.
% 0.54/2.27  % BCE start: 74
% 0.54/2.27  % BCE eliminated: 0
% 0.54/2.27  % PE start: 74
% 0.54/2.27  logic: eq
% 0.54/2.27  % PE eliminated: 0
% 0.54/2.27  % done 61 iterations in 0.059s
% 0.54/2.27  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/2.27  % SZS output start Refutation
% See solution above
% 0.54/2.27  
% 0.54/2.27  
% 0.54/2.27  % Terminating...
% 1.87/2.56  % Runner terminated.
% 1.89/2.59  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------