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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU104+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xUP46XPzLa true

% Computer : n021.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 04:53:26 PM UTC 2025

% Result   : Theorem 2.69s 1.54s
% Output   : Refutation 2.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   48 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :  106 (   2 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  437 (  60   ~;  43   |;   4   &; 319   @)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :   41 (   0   ^;  41   !;   0   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(symmetric_difference_type,type,
    symmetric_difference: $i > $i > $i ).

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

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

thf(element_type,type,
    element: $i > $i > $o ).

thf(preboolean_type,type,
    preboolean: $i > $o ).

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

thf(empty_type,type,
    empty: $i > $o ).

thf(sk__7_type,type,
    sk__7: $i > $i ).

thf(t15_finsub_1,conjecture,
    ! [A: $i] :
      ( ~ ( empty @ A )
     => ( ! [B: $i] :
            ( ( element @ B @ A )
           => ! [C: $i] :
                ( ( element @ C @ A )
               => ( ( in @ ( symmetric_difference @ B @ C ) @ A )
                  & ( in @ ( set_difference @ B @ C ) @ A ) ) ) )
       => ( preboolean @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ~ ( empty @ A )
       => ( ! [B: $i] :
              ( ( element @ B @ A )
             => ! [C: $i] :
                  ( ( element @ C @ A )
                 => ( ( in @ ( symmetric_difference @ B @ C ) @ A )
                    & ( in @ ( set_difference @ B @ C ) @ A ) ) ) )
         => ( preboolean @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t15_finsub_1]) ).

thf(zip_derived_cl38,plain,
    ~ ( preboolean @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t10_finsub_1,axiom,
    ! [A: $i] :
      ( ( preboolean @ A )
    <=> ! [B: $i,C: $i] :
          ( ( ( in @ B @ A )
            & ( in @ C @ A ) )
         => ( ( in @ ( set_union2 @ B @ C ) @ A )
            & ( in @ ( set_difference @ B @ C ) @ A ) ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( in @ ( sk__7 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[t10_finsub_1]) ).

thf(t1_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( element @ A @ B ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( in @ ( sk__8 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[t10_finsub_1]) ).

thf(zip_derived_cl27_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ sk__9 )
      | ( in @ ( set_difference @ X1 @ X0 ) @ sk__9 )
      | ~ ( element @ X1 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl25_003,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( in @ ( sk__8 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[t10_finsub_1]) ).

thf(zip_derived_cl27_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl24_005,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( in @ ( sk__7 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[t10_finsub_1]) ).

thf(zip_derived_cl27_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl39_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ sk__9 )
      | ( in @ ( set_difference @ X1 @ X0 ) @ sk__9 )
      | ~ ( element @ X1 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24_008,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ( in @ ( sk__7 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[t10_finsub_1]) ).

thf(zip_derived_cl27_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ( preboolean @ X0 )
      | ~ ( in @ ( set_union2 @ ( sk__7 @ X0 ) @ ( sk__8 @ X0 ) ) @ X0 )
      | ~ ( in @ ( set_difference @ ( sk__7 @ X0 ) @ ( sk__8 @ X0 ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[t10_finsub_1]) ).

thf(t98_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( set_union2 @ A @ B )
      = ( symmetric_difference @ A @ ( set_difference @ B @ A ) ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X0 @ X1 )
      = ( symmetric_difference @ X0 @ ( set_difference @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[t98_xboole_1]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ sk__9 )
      | ( in @ ( symmetric_difference @ X1 @ X0 ) @ sk__9 )
      | ~ ( element @ X1 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl400,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( set_union2 @ X1 @ X0 ) @ sk__9 )
      | ~ ( element @ X1 @ sk__9 )
      | ~ ( element @ ( set_difference @ X0 @ X1 ) @ sk__9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl40]) ).

thf(zip_derived_cl1305,plain,
    ( ~ ( in @ ( set_difference @ ( sk__7 @ sk__9 ) @ ( sk__8 @ sk__9 ) ) @ sk__9 )
    | ( preboolean @ sk__9 )
    | ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 )
    | ~ ( element @ ( sk__7 @ sk__9 ) @ sk__9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl400]) ).

thf(zip_derived_cl38_010,plain,
    ~ ( preboolean @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1312,plain,
    ( ~ ( in @ ( set_difference @ ( sk__7 @ sk__9 ) @ ( sk__8 @ sk__9 ) ) @ sk__9 )
    | ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 )
    | ~ ( element @ ( sk__7 @ sk__9 ) @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1305,zip_derived_cl38]) ).

thf(zip_derived_cl1505,plain,
    ( ~ ( in @ ( sk__7 @ sk__9 ) @ sk__9 )
    | ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 )
    | ~ ( in @ ( set_difference @ ( sk__7 @ sk__9 ) @ ( sk__8 @ sk__9 ) ) @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1312]) ).

thf(zip_derived_cl1507,plain,
    ( ( preboolean @ sk__9 )
    | ~ ( in @ ( set_difference @ ( sk__7 @ sk__9 ) @ ( sk__8 @ sk__9 ) ) @ sk__9 )
    | ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1505]) ).

thf(zip_derived_cl38_011,plain,
    ~ ( preboolean @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1509,plain,
    ( ~ ( in @ ( set_difference @ ( sk__7 @ sk__9 ) @ ( sk__8 @ sk__9 ) ) @ sk__9 )
    | ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1507,zip_derived_cl38]) ).

thf(zip_derived_cl1511,plain,
    ( ~ ( element @ ( sk__7 @ sk__9 ) @ sk__9 )
    | ~ ( element @ ( sk__8 @ sk__9 ) @ sk__9 )
    | ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl1509]) ).

thf(zip_derived_cl1521,plain,
    ( ~ ( in @ ( sk__7 @ sk__9 ) @ sk__9 )
    | ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 )
    | ~ ( element @ ( sk__8 @ sk__9 ) @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1511]) ).

thf(zip_derived_cl1523,plain,
    ( ( preboolean @ sk__9 )
    | ~ ( element @ ( sk__8 @ sk__9 ) @ sk__9 )
    | ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1521]) ).

thf(zip_derived_cl38_012,plain,
    ~ ( preboolean @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1525,plain,
    ( ~ ( element @ ( sk__8 @ sk__9 ) @ sk__9 )
    | ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1523,zip_derived_cl38]) ).

thf(zip_derived_cl1526,plain,
    ( ~ ( in @ ( sk__8 @ sk__9 ) @ sk__9 )
    | ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1525]) ).

thf(zip_derived_cl1536,plain,
    ( ( preboolean @ sk__9 )
    | ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1526]) ).

thf(zip_derived_cl38_013,plain,
    ~ ( preboolean @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1538,plain,
    ~ ( element @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl1536,zip_derived_cl38]) ).

thf(zip_derived_cl1539,plain,
    ~ ( in @ ( set_difference @ ( sk__8 @ sk__9 ) @ ( sk__7 @ sk__9 ) ) @ sk__9 ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1538]) ).

thf(zip_derived_cl1549,plain,
    ( ~ ( element @ ( sk__8 @ sk__9 ) @ sk__9 )
    | ~ ( element @ ( sk__7 @ sk__9 ) @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl1539]) ).

thf(zip_derived_cl1559,plain,
    ( ~ ( in @ ( sk__8 @ sk__9 ) @ sk__9 )
    | ~ ( element @ ( sk__7 @ sk__9 ) @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1549]) ).

thf(zip_derived_cl1561,plain,
    ( ( preboolean @ sk__9 )
    | ~ ( element @ ( sk__7 @ sk__9 ) @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1559]) ).

thf(zip_derived_cl38_014,plain,
    ~ ( preboolean @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1563,plain,
    ~ ( element @ ( sk__7 @ sk__9 ) @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl1561,zip_derived_cl38]) ).

thf(zip_derived_cl1564,plain,
    ~ ( in @ ( sk__7 @ sk__9 ) @ sk__9 ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1563]) ).

thf(zip_derived_cl1566,plain,
    preboolean @ sk__9,
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1564]) ).

thf(zip_derived_cl1568,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl1566]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.25  % Problem  : SEU104+1 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.26  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xUP46XPzLa true
% 0.10/0.46  % Computer : n021.cluster.edu
% 0.10/0.46  % Model    : x86_64 x86_64
% 0.10/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.46  % Memory   : 8042.1875MB
% 0.10/0.46  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.46  % CPULimit : 300
% 0.10/0.46  % WCLimit  : 300
% 0.10/0.46  % DateTime : Wed Oct  1 16:10:53 EDT 2025
% 0.10/0.46  % CPUTime  : 
% 0.10/0.46  % Running portfolio for 300 s
% 0.10/0.46  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.46  % Number of cores: 8
% 0.10/0.47  % Python version: Python 3.6.8
% 0.10/0.47  % Running in FO mode
% 0.29/0.82  % Total configuration time : 435
% 0.29/0.82  % Estimated wc time : 1092
% 0.29/0.82  % Estimated cpu time (7 cpus) : 156.0
% 0.29/0.94  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.29/0.97  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.29/0.99  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.29/1.01  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.29/1.01  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.29/1.04  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.29/1.04  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 2.69/1.54  % Solved by fo/fo4.sh.
% 2.69/1.54  % done 358 iterations in 0.367s
% 2.69/1.54  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.69/1.54  % SZS output start Refutation
% See solution above
% 2.69/1.54  
% 2.69/1.54  
% 2.69/1.54  % Terminating...
% 2.73/1.70  % Runner terminated.
% 2.73/1.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------