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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU125+1 : 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.HDIhR5F42w true

% Computer : n010.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 04:53:29 PM UTC 2025

% Result   : Theorem 0.35s 2.18s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   24 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   47 (   2 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  179 (  16   ~;  15   |;   2   &; 140   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  32   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i ).

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

thf(sk__6_type,type,
    sk__6: $i ).

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

thf(sk__5_type,type,
    sk__5: $i ).

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

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

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(t8_xboole_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subset @ A @ B )
        & ( subset @ C @ B ) )
     => ( subset @ ( set_union2 @ A @ C ) @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( subset @ A @ B )
          & ( subset @ C @ B ) )
       => ( subset @ ( set_union2 @ A @ C ) @ B ) ),
    inference('cnf.neg',[status(esa)],[t8_xboole_1]) ).

thf(zip_derived_cl24,plain,
    ~ ( subset @ ( set_union2 @ sk__4 @ sk__6 ) @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl279,plain,
    ~ ( in @ ( sk__1 @ sk__5 @ ( set_union2 @ sk__4 @ sk__6 ) ) @ sk__5 ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl24]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl24_001,plain,
    ~ ( subset @ ( set_union2 @ sk__4 @ sk__6 ) @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    in @ ( sk__1 @ sk__5 @ ( set_union2 @ sk__4 @ sk__6 ) ) @ ( set_union2 @ sk__4 @ sk__6 ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl24]) ).

thf(d2_xboole_0,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( set_union2 @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( in @ D @ A )
            | ( in @ D @ B ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( in @ X0 @ X3 )
      | ( X1
       != ( set_union2 @ X2 @ X3 ) ) ),
    inference(cnf,[status(esa)],[d2_xboole_0]) ).

thf(zip_derived_cl393,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X1 @ X0 )
      | ( in @ X1 @ X2 )
      | ~ ( in @ X1 @ ( set_union2 @ X2 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl396,plain,
    ( ( in @ ( sk__1 @ sk__5 @ ( set_union2 @ sk__4 @ sk__6 ) ) @ sk__4 )
    | ( in @ ( sk__1 @ sk__5 @ ( set_union2 @ sk__4 @ sk__6 ) ) @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl393]) ).

thf(zip_derived_cl26,plain,
    subset @ sk__4 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__5 )
      | ~ ( in @ X0 @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl8]) ).

thf(zip_derived_cl279_002,plain,
    ~ ( in @ ( sk__1 @ sk__5 @ ( set_union2 @ sk__4 @ sk__6 ) ) @ sk__5 ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl24]) ).

thf(zip_derived_cl293,plain,
    ~ ( in @ ( sk__1 @ sk__5 @ ( set_union2 @ sk__4 @ sk__6 ) ) @ sk__4 ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl279]) ).

thf(zip_derived_cl406,plain,
    in @ ( sk__1 @ sk__5 @ ( set_union2 @ sk__4 @ sk__6 ) ) @ sk__6,
    inference(demod,[status(thm)],[zip_derived_cl396,zip_derived_cl293]) ).

thf(zip_derived_cl25,plain,
    subset @ sk__6 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__5 )
      | ~ ( in @ X0 @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl8]) ).

thf(zip_derived_cl435,plain,
    in @ ( sk__1 @ sk__5 @ ( set_union2 @ sk__4 @ sk__6 ) ) @ sk__5,
    inference('sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl37]) ).

thf(zip_derived_cl542,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl279,zip_derived_cl435]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.89  % Problem  : SEU125+1 : TPTP v9.2.0. Released v3.3.0.
% 0.08/0.99  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HDIhR5F42w true
% 0.12/1.38  % Computer : n010.cluster.edu
% 0.12/1.38  % Model    : x86_64 x86_64
% 0.12/1.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.38  % Memory   : 8042.1875MB
% 0.12/1.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/1.38  % CPULimit : 300
% 0.12/1.38  % WCLimit  : 300
% 0.12/1.38  % DateTime : Wed Oct  1 16:01:39 EDT 2025
% 0.12/1.39  % CPUTime  : 
% 0.12/1.39  % Running portfolio for 300 s
% 0.12/1.39  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/1.40  % Number of cores: 8
% 0.12/1.42  % Python version: Python 3.6.8
% 0.12/1.43  % Running in FO mode
% 0.35/1.86  % Total configuration time : 435
% 0.35/1.86  % Estimated wc time : 1092
% 0.35/1.86  % Estimated cpu time (7 cpus) : 156.0
% 0.35/1.99  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.35/2.00  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.35/2.01  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.35/2.03  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.35/2.12  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.35/2.13  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.35/2.15  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.35/2.18  % Solved by fo/fo7.sh.
% 0.35/2.18  % done 140 iterations in 0.064s
% 0.35/2.18  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.35/2.18  % SZS output start Refutation
% See solution above
% 0.35/2.18  
% 0.35/2.18  
% 0.35/2.19  % Terminating...
% 1.18/2.34  % Runner terminated.
% 1.18/2.34  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------